{
"tiddlers": {
"$:/Acknowledgements": {
"title": "$:/Acknowledgements",
"type": "text/vnd.tiddlywiki",
"text": "TiddlyWiki incorporates code from these fine OpenSource projects:\n\n* [[The Stanford Javascript Crypto Library|http://bitwiseshiftleft.github.io/sjcl/]]\n* [[The Jasmine JavaScript Test Framework|http://pivotal.github.io/jasmine/]]\n* [[Normalize.css by Nicolas Gallagher|http://necolas.github.io/normalize.css/]]\n\nAnd media from these projects:\n\n* World flag icons from [[Wikipedia|http://commons.wikimedia.org/wiki/Category:SVG_flags_by_country]]\n"
},
"$:/core/copyright.txt": {
"title": "$:/core/copyright.txt",
"type": "text/plain",
"text": "TiddlyWiki created by Jeremy Ruston, (jeremy [at] jermolene [dot] com)\n\nCopyright © Jeremy Ruston 2004-2007\nCopyright © UnaMesa Association 2007-2014\n\nRedistribution and use in source and binary forms, with or without modification,\nare permitted provided that the following conditions are met:\n\nRedistributions of source code must retain the above copyright notice, this\nlist of conditions and the following disclaimer.\n\nRedistributions in binary form must reproduce the above copyright notice, this\nlist of conditions and the following disclaimer in the documentation and/or other\nmaterials provided with the distribution.\n\nNeither the name of the UnaMesa Association nor the names of its contributors may be\nused to endorse or promote products derived from this software without specific\nprior written permission.\n\nTHIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 'AS IS' AND ANY\nEXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES\nOF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT\nSHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,\nINCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED\nTO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR\nBUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN\nCONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN\nANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH\nDAMAGE.\n"
},
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},
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"title": "$:/core/images/save-button",
"tags": "$:/tags/Image",
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},
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"tags": "$:/tags/Image",
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},
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"title": "$:/core/images/storyview-classic",
"tags": "$:/tags/Image",
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},
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},
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"title": "$:/core/images/storyview-zoomin",
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},
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},
"$:/core/images/theme-button": {
"title": "$:/core/images/theme-button",
"tags": "$:/tags/Image",
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},
"$:/core/images/unlocked-padlock": {
"title": "$:/core/images/unlocked-padlock",
"tags": "$:/tags/Image",
"text": "<svg class=\"tc-image-unlocked-padlock tc-image-button\" width=\"22pt\" height=\"22pt\" viewBox=\"0 0 128 128\">\n <g fill-rule=\"evenodd\">\n <path d=\"M48.6266053,64 L105,64 L105,96.0097716 C105,113.673909 90.6736461,128 73.001193,128 L55.998807,128 C38.3179793,128 24,113.677487 24,96.0097716 L24,64 L30.136303,64 C19.6806213,51.3490406 2.77158986,28.2115132 25.8366966,8.85759246 C50.4723026,-11.8141335 71.6711028,13.2108337 81.613302,25.0594855 C91.5555012,36.9081373 78.9368488,47.4964439 69.1559674,34.9513593 C59.375086,22.4062748 47.9893192,10.8049522 35.9485154,20.9083862 C23.9077117,31.0118202 34.192312,43.2685325 44.7624679,55.8655518 C47.229397,58.805523 48.403443,61.5979188 48.6266053,64 Z M67.7315279,92.3641717 C70.8232551,91.0923621 73,88.0503841 73,84.5 C73,79.8055796 69.1944204,76 64.5,76 C59.8055796,76 56,79.8055796 56,84.5 C56,87.947435 58.0523387,90.9155206 61.0018621,92.2491029 L55.9067479,115.020857 L72.8008958,115.020857 L67.7315279,92.3641717 L67.7315279,92.3641717 Z\"></path>\n </g>\n</svg>"
},
"$:/core/images/video": {
"title": "$:/core/images/video",
"tags": "$:/tags/Image",
"text": "<svg class=\"tc-image-video tc-image-button\" width=\"22pt\" height=\"22pt\" viewBox=\"0 0 128 128\">\n <g fill-rule=\"evenodd\">\n <path d=\"M64,12 C29.0909091,12 8.72727273,14.9166667 5.81818182,17.8333333 C2.90909091,20.75 1.93784382e-15,41.1666667 0,64.5 C1.93784382e-15,87.8333333 2.90909091,108.25 5.81818182,111.166667 C8.72727273,114.083333 29.0909091,117 64,117 C98.9090909,117 119.272727,114.083333 122.181818,111.166667 C125.090909,108.25 128,87.8333333 128,64.5 C128,41.1666667 125.090909,20.75 122.181818,17.8333333 C119.272727,14.9166667 98.9090909,12 64,12 Z M54.9161194,44.6182253 C51.102648,42.0759111 48.0112186,43.7391738 48.0112186,48.3159447 L48.0112186,79.6840553 C48.0112186,84.2685636 51.109784,85.9193316 54.9161194,83.3817747 L77.0838806,68.6032672 C80.897352,66.0609529 80.890216,61.9342897 77.0838806,59.3967328 L54.9161194,44.6182253 Z\"></path>\n </g>\n</svg>"
},
"$:/language/Buttons/AdvancedSearch/Caption": {
"title": "$:/language/Buttons/AdvancedSearch/Caption",
"text": "advanced search"
},
"$:/language/Buttons/AdvancedSearch/Hint": {
"title": "$:/language/Buttons/AdvancedSearch/Hint",
"text": "Advanced search"
},
"$:/language/Buttons/Cancel/Caption": {
"title": "$:/language/Buttons/Cancel/Caption",
"text": "cancel"
},
"$:/language/Buttons/Cancel/Hint": {
"title": "$:/language/Buttons/Cancel/Hint",
"text": "Cancel editing this tiddler"
},
"$:/language/Buttons/Clone/Caption": {
"title": "$:/language/Buttons/Clone/Caption",
"text": "clone"
},
"$:/language/Buttons/Clone/Hint": {
"title": "$:/language/Buttons/Clone/Hint",
"text": "Clone this tiddler"
},
"$:/language/Buttons/Close/Caption": {
"title": "$:/language/Buttons/Close/Caption",
"text": "close"
},
"$:/language/Buttons/Close/Hint": {
"title": "$:/language/Buttons/Close/Hint",
"text": "Close this tiddler"
},
"$:/language/Buttons/CloseAll/Caption": {
"title": "$:/language/Buttons/CloseAll/Caption",
"text": "close all"
},
"$:/language/Buttons/CloseAll/Hint": {
"title": "$:/language/Buttons/CloseAll/Hint",
"text": "Close all tiddlers"
},
"$:/language/Buttons/CloseOthers/Caption": {
"title": "$:/language/Buttons/CloseOthers/Caption",
"text": "close others"
},
"$:/language/Buttons/CloseOthers/Hint": {
"title": "$:/language/Buttons/CloseOthers/Hint",
"text": "Close other tiddlers"
},
"$:/language/Buttons/ControlPanel/Caption": {
"title": "$:/language/Buttons/ControlPanel/Caption",
"text": "control panel"
},
"$:/language/Buttons/ControlPanel/Hint": {
"title": "$:/language/Buttons/ControlPanel/Hint",
"text": "Open control panel"
},
"$:/language/Buttons/Delete/Caption": {
"title": "$:/language/Buttons/Delete/Caption",
"text": "delete"
},
"$:/language/Buttons/Delete/Hint": {
"title": "$:/language/Buttons/Delete/Hint",
"text": "Delete this tiddler"
},
"$:/language/Buttons/Edit/Caption": {
"title": "$:/language/Buttons/Edit/Caption",
"text": "edit"
},
"$:/language/Buttons/Edit/Hint": {
"title": "$:/language/Buttons/Edit/Hint",
"text": "Edit this tiddler"
},
"$:/language/Buttons/Encryption/Caption": {
"title": "$:/language/Buttons/Encryption/Caption",
"text": "encryption"
},
"$:/language/Buttons/Encryption/Hint": {
"title": "$:/language/Buttons/Encryption/Hint",
"text": "Set or clear a password for saving this wiki"
},
"$:/language/Buttons/Encryption/ClearPassword/Caption": {
"title": "$:/language/Buttons/Encryption/ClearPassword/Caption",
"text": "clear password"
},
"$:/language/Buttons/Encryption/ClearPassword/Hint": {
"title": "$:/language/Buttons/Encryption/ClearPassword/Hint",
"text": "Clear the password and save this wiki without encryption"
},
"$:/language/Buttons/Encryption/SetPassword/Caption": {
"title": "$:/language/Buttons/Encryption/SetPassword/Caption",
"text": "set password"
},
"$:/language/Buttons/Encryption/SetPassword/Hint": {
"title": "$:/language/Buttons/Encryption/SetPassword/Hint",
"text": "Set a password for saving this wiki with encryption"
},
"$:/language/Buttons/ExportPage/Caption": {
"title": "$:/language/Buttons/ExportPage/Caption",
"text": "export all"
},
"$:/language/Buttons/ExportPage/Hint": {
"title": "$:/language/Buttons/ExportPage/Hint",
"text": "Export all tiddlers"
},
"$:/language/Buttons/ExportTiddler/Caption": {
"title": "$:/language/Buttons/ExportTiddler/Caption",
"text": "export tiddler"
},
"$:/language/Buttons/ExportTiddler/Hint": {
"title": "$:/language/Buttons/ExportTiddler/Hint",
"text": "Export tiddler"
},
"$:/language/Buttons/ExportTiddlers/Caption": {
"title": "$:/language/Buttons/ExportTiddlers/Caption",
"text": "export tiddlers"
},
"$:/language/Buttons/ExportTiddlers/Hint": {
"title": "$:/language/Buttons/ExportTiddlers/Hint",
"text": "Export tiddlers"
},
"$:/language/Buttons/FullScreen/Caption": {
"title": "$:/language/Buttons/FullScreen/Caption",
"text": "full-screen"
},
"$:/language/Buttons/FullScreen/Hint": {
"title": "$:/language/Buttons/FullScreen/Hint",
"text": "Enter or leave full-screen mode"
},
"$:/language/Buttons/Import/Caption": {
"title": "$:/language/Buttons/Import/Caption",
"text": "import"
},
"$:/language/Buttons/Import/Hint": {
"title": "$:/language/Buttons/Import/Hint",
"text": "Import files"
},
"$:/language/Buttons/Info/Caption": {
"title": "$:/language/Buttons/Info/Caption",
"text": "info"
},
"$:/language/Buttons/Info/Hint": {
"title": "$:/language/Buttons/Info/Hint",
"text": "Show information for this tiddler"
},
"$:/language/Buttons/Home/Caption": {
"title": "$:/language/Buttons/Home/Caption",
"text": "home"
},
"$:/language/Buttons/Home/Hint": {
"title": "$:/language/Buttons/Home/Hint",
"text": "Open the default tiddlers"
},
"$:/language/Buttons/Language/Caption": {
"title": "$:/language/Buttons/Language/Caption",
"text": "language"
},
"$:/language/Buttons/Language/Hint": {
"title": "$:/language/Buttons/Language/Hint",
"text": "Choose the user interface language"
},
"$:/language/Buttons/More/Caption": {
"title": "$:/language/Buttons/More/Caption",
"text": "more"
},
"$:/language/Buttons/More/Hint": {
"title": "$:/language/Buttons/More/Hint",
"text": "More actions"
},
"$:/language/Buttons/NewHere/Caption": {
"title": "$:/language/Buttons/NewHere/Caption",
"text": "new here"
},
"$:/language/Buttons/NewHere/Hint": {
"title": "$:/language/Buttons/NewHere/Hint",
"text": "Create a new tiddler tagged with this one"
},
"$:/language/Buttons/NewJournal/Caption": {
"title": "$:/language/Buttons/NewJournal/Caption",
"text": "new journal"
},
"$:/language/Buttons/NewJournal/Hint": {
"title": "$:/language/Buttons/NewJournal/Hint",
"text": "Create a new journal tiddler"
},
"$:/language/Buttons/NewJournalHere/Caption": {
"title": "$:/language/Buttons/NewJournalHere/Caption",
"text": "new journal here"
},
"$:/language/Buttons/NewJournalHere/Hint": {
"title": "$:/language/Buttons/NewJournalHere/Hint",
"text": "Create a new journal tiddler tagged with this one"
},
"$:/language/Buttons/NewTiddler/Caption": {
"title": "$:/language/Buttons/NewTiddler/Caption",
"text": "new tiddler"
},
"$:/language/Buttons/NewTiddler/Hint": {
"title": "$:/language/Buttons/NewTiddler/Hint",
"text": "Create a new tiddler"
},
"$:/language/Buttons/Permalink/Caption": {
"title": "$:/language/Buttons/Permalink/Caption",
"text": "permalink"
},
"$:/language/Buttons/Permalink/Hint": {
"title": "$:/language/Buttons/Permalink/Hint",
"text": "Set browser address bar to a direct link to this tiddler"
},
"$:/language/Buttons/Permaview/Caption": {
"title": "$:/language/Buttons/Permaview/Caption",
"text": "permaview"
},
"$:/language/Buttons/Permaview/Hint": {
"title": "$:/language/Buttons/Permaview/Hint",
"text": "Set browser address bar to a direct link to all the tiddlers in this story"
},
"$:/language/Buttons/Refresh/Caption": {
"title": "$:/language/Buttons/Refresh/Caption",
"text": "refresh"
},
"$:/language/Buttons/Refresh/Hint": {
"title": "$:/language/Buttons/Refresh/Hint",
"text": "Perform a full refresh of the wiki"
},
"$:/language/Buttons/Save/Caption": {
"title": "$:/language/Buttons/Save/Caption",
"text": "save"
},
"$:/language/Buttons/Save/Hint": {
"title": "$:/language/Buttons/Save/Hint",
"text": "Save this tiddler"
},
"$:/language/Buttons/SaveWiki/Caption": {
"title": "$:/language/Buttons/SaveWiki/Caption",
"text": "save changes"
},
"$:/language/Buttons/SaveWiki/Hint": {
"title": "$:/language/Buttons/SaveWiki/Hint",
"text": "Save changes"
},
"$:/language/Buttons/StoryView/Caption": {
"title": "$:/language/Buttons/StoryView/Caption",
"text": "storyview"
},
"$:/language/Buttons/StoryView/Hint": {
"title": "$:/language/Buttons/StoryView/Hint",
"text": "Choose the story visualisation"
},
"$:/language/Buttons/HideSideBar/Caption": {
"title": "$:/language/Buttons/HideSideBar/Caption",
"text": "hide sidebar"
},
"$:/language/Buttons/HideSideBar/Hint": {
"title": "$:/language/Buttons/HideSideBar/Hint",
"text": "Hide sidebar"
},
"$:/language/Buttons/ShowSideBar/Caption": {
"title": "$:/language/Buttons/ShowSideBar/Caption",
"text": "show sidebar"
},
"$:/language/Buttons/ShowSideBar/Hint": {
"title": "$:/language/Buttons/ShowSideBar/Hint",
"text": "Show sidebar"
},
"$:/language/Buttons/TagManager/Caption": {
"title": "$:/language/Buttons/TagManager/Caption",
"text": "tag manager"
},
"$:/language/Buttons/TagManager/Hint": {
"title": "$:/language/Buttons/TagManager/Hint",
"text": "Open tag manager"
},
"$:/language/Buttons/Theme/Caption": {
"title": "$:/language/Buttons/Theme/Caption",
"text": "theme"
},
"$:/language/Buttons/Theme/Hint": {
"title": "$:/language/Buttons/Theme/Hint",
"text": "Choose the display theme"
},
"$:/language/ControlPanel/Advanced/Caption": {
"title": "$:/language/ControlPanel/Advanced/Caption",
"text": "Advanced"
},
"$:/language/ControlPanel/Advanced/Hint": {
"title": "$:/language/ControlPanel/Advanced/Hint",
"text": "Internal information about this TiddlyWiki"
},
"$:/language/ControlPanel/Appearance/Caption": {
"title": "$:/language/ControlPanel/Appearance/Caption",
"text": "Appearance"
},
"$:/language/ControlPanel/Appearance/Hint": {
"title": "$:/language/ControlPanel/Appearance/Hint",
"text": "Ways to customise the appearance of your TiddlyWiki."
},
"$:/language/ControlPanel/Basics/AnimDuration/Prompt": {
"title": "$:/language/ControlPanel/Basics/AnimDuration/Prompt",
"text": "Animation duration:"
},
"$:/language/ControlPanel/Basics/Caption": {
"title": "$:/language/ControlPanel/Basics/Caption",
"text": "Basics"
},
"$:/language/ControlPanel/Basics/DefaultTiddlers/BottomHint": {
"title": "$:/language/ControlPanel/Basics/DefaultTiddlers/BottomHint",
"text": "Use [[double square brackets]] for titles with spaces. Or you can choose to <$button set=\"$:/DefaultTiddlers\" setTo=\"[list[$:/StoryList]]\">retain story ordering</$button>"
},
"$:/language/ControlPanel/Basics/DefaultTiddlers/Prompt": {
"title": "$:/language/ControlPanel/Basics/DefaultTiddlers/Prompt",
"text": "Default tiddlers:"
},
"$:/language/ControlPanel/Basics/DefaultTiddlers/TopHint": {
"title": "$:/language/ControlPanel/Basics/DefaultTiddlers/TopHint",
"text": "Choose which tiddlers are displayed at startup:"
},
"$:/language/ControlPanel/Basics/Language/Prompt": {
"title": "$:/language/ControlPanel/Basics/Language/Prompt",
"text": "Hello! Current language:"
},
"$:/language/ControlPanel/Basics/NewJournal/Title/Prompt": {
"title": "$:/language/ControlPanel/Basics/NewJournal/Title/Prompt",
"text": "Title of new journal tiddlers"
},
"$:/language/ControlPanel/Basics/NewJournal/Tags/Prompt": {
"title": "$:/language/ControlPanel/Basics/NewJournal/Tags/Prompt",
"text": "Tags for new journal tiddlers"
},
"$:/language/ControlPanel/Basics/OverriddenShadowTiddlers/Prompt": {
"title": "$:/language/ControlPanel/Basics/OverriddenShadowTiddlers/Prompt",
"text": "Number of overridden shadow tiddlers:"
},
"$:/language/ControlPanel/Basics/ShadowTiddlers/Prompt": {
"title": "$:/language/ControlPanel/Basics/ShadowTiddlers/Prompt",
"text": "Number of shadow tiddlers:"
},
"$:/language/ControlPanel/Basics/Subtitle/Prompt": {
"title": "$:/language/ControlPanel/Basics/Subtitle/Prompt",
"text": "Subtitle:"
},
"$:/language/ControlPanel/Basics/SystemTiddlers/Prompt": {
"title": "$:/language/ControlPanel/Basics/SystemTiddlers/Prompt",
"text": "Number of system tiddlers:"
},
"$:/language/ControlPanel/Basics/Tags/Prompt": {
"title": "$:/language/ControlPanel/Basics/Tags/Prompt",
"text": "Number of tags:"
},
"$:/language/ControlPanel/Basics/Tiddlers/Prompt": {
"title": "$:/language/ControlPanel/Basics/Tiddlers/Prompt",
"text": "Number of tiddlers:"
},
"$:/language/ControlPanel/Basics/Title/Prompt": {
"title": "$:/language/ControlPanel/Basics/Title/Prompt",
"text": "Title of this ~TiddlyWiki:"
},
"$:/language/ControlPanel/Basics/Username/Prompt": {
"title": "$:/language/ControlPanel/Basics/Username/Prompt",
"text": "Username for signing edits:"
},
"$:/language/ControlPanel/Basics/Version/Prompt": {
"title": "$:/language/ControlPanel/Basics/Version/Prompt",
"text": "~TiddlyWiki version:"
},
"$:/language/ControlPanel/EditorTypes/Caption": {
"title": "$:/language/ControlPanel/EditorTypes/Caption",
"text": "Editor Types"
},
"$:/language/ControlPanel/EditorTypes/Editor/Caption": {
"title": "$:/language/ControlPanel/EditorTypes/Editor/Caption",
"text": "Editor"
},
"$:/language/ControlPanel/EditorTypes/Hint": {
"title": "$:/language/ControlPanel/EditorTypes/Hint",
"text": "These tiddlers determine which editor is used to edit specific tiddler types."
},
"$:/language/ControlPanel/EditorTypes/Type/Caption": {
"title": "$:/language/ControlPanel/EditorTypes/Type/Caption",
"text": "Type"
},
"$:/language/ControlPanel/Info/Caption": {
"title": "$:/language/ControlPanel/Info/Caption",
"text": "Info"
},
"$:/language/ControlPanel/Info/Hint": {
"title": "$:/language/ControlPanel/Info/Hint",
"text": "Information about this TiddlyWiki"
},
"$:/language/ControlPanel/LoadedModules/Caption": {
"title": "$:/language/ControlPanel/LoadedModules/Caption",
"text": "Loaded Modules"
},
"$:/language/ControlPanel/LoadedModules/Hint": {
"title": "$:/language/ControlPanel/LoadedModules/Hint",
"text": "These are the currently loaded tiddler modules linked to their source tiddlers. Any italicised modules lack a source tiddler, typically because they were setup during the boot process."
},
"$:/language/ControlPanel/Palette/Caption": {
"title": "$:/language/ControlPanel/Palette/Caption",
"text": "Palette"
},
"$:/language/ControlPanel/Palette/Editor/Clone/Caption": {
"title": "$:/language/ControlPanel/Palette/Editor/Clone/Caption",
"text": "clone"
},
"$:/language/ControlPanel/Palette/Editor/Clone/Prompt": {
"title": "$:/language/ControlPanel/Palette/Editor/Clone/Prompt",
"text": "It is recommended that you clone this shadow palette before editing it"
},
"$:/language/ControlPanel/Palette/Editor/Prompt/Modified": {
"title": "$:/language/ControlPanel/Palette/Editor/Prompt/Modified",
"text": "This shadow palette has been modified"
},
"$:/language/ControlPanel/Palette/Editor/Prompt": {
"title": "$:/language/ControlPanel/Palette/Editor/Prompt",
"text": "Editing"
},
"$:/language/ControlPanel/Palette/Editor/Reset/Caption": {
"title": "$:/language/ControlPanel/Palette/Editor/Reset/Caption",
"text": "reset"
},
"$:/language/ControlPanel/Palette/HideEditor/Caption": {
"title": "$:/language/ControlPanel/Palette/HideEditor/Caption",
"text": "hide editor"
},
"$:/language/ControlPanel/Palette/Prompt": {
"title": "$:/language/ControlPanel/Palette/Prompt",
"text": "Current palette:"
},
"$:/language/ControlPanel/Palette/ShowEditor/Caption": {
"title": "$:/language/ControlPanel/Palette/ShowEditor/Caption",
"text": "show editor"
},
"$:/language/ControlPanel/Plugins/Caption": {
"title": "$:/language/ControlPanel/Plugins/Caption",
"text": "Plugins"
},
"$:/language/ControlPanel/Plugins/Disable/Caption": {
"title": "$:/language/ControlPanel/Plugins/Disable/Caption",
"text": "disable"
},
"$:/language/ControlPanel/Plugins/Disable/Hint": {
"title": "$:/language/ControlPanel/Plugins/Disable/Hint",
"text": "Disable this plugin when reloading page"
},
"$:/language/ControlPanel/Plugins/Disabled/Status": {
"title": "$:/language/ControlPanel/Plugins/Disabled/Status",
"text": "(disabled)"
},
"$:/language/ControlPanel/Plugins/Empty/Hint": {
"title": "$:/language/ControlPanel/Plugins/Empty/Hint",
"text": "None"
},
"$:/language/ControlPanel/Plugins/Enable/Caption": {
"title": "$:/language/ControlPanel/Plugins/Enable/Caption",
"text": "enable"
},
"$:/language/ControlPanel/Plugins/Enable/Hint": {
"title": "$:/language/ControlPanel/Plugins/Enable/Hint",
"text": "Enable this plugin when reloading page"
},
"$:/language/ControlPanel/Plugins/Language/Prompt": {
"title": "$:/language/ControlPanel/Plugins/Language/Prompt",
"text": "Languages"
},
"$:/language/ControlPanel/Plugins/Plugin/Prompt": {
"title": "$:/language/ControlPanel/Plugins/Plugin/Prompt",
"text": "Plugins"
},
"$:/language/ControlPanel/Plugins/Theme/Prompt": {
"title": "$:/language/ControlPanel/Plugins/Theme/Prompt",
"text": "Themes"
},
"$:/language/ControlPanel/Saving/Caption": {
"title": "$:/language/ControlPanel/Saving/Caption",
"text": "Saving"
},
"$:/language/ControlPanel/Saving/Heading": {
"title": "$:/language/ControlPanel/Saving/Heading",
"text": "Saving"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Advanced/Heading": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Advanced/Heading",
"text": "Advanced Settings"
},
"$:/language/ControlPanel/Saving/TiddlySpot/BackupDir": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/BackupDir",
"text": "Backup Directory"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Backups": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Backups",
"text": "Backups"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Description": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Description",
"text": "These settings are only used when saving to http://tiddlyspot.com or a compatible remote server"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Filename": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Filename",
"text": "Upload Filename"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Heading": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Heading",
"text": "~TiddlySpot"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Hint": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Hint",
"text": "//The server URL defaults to `http://<wikiname>.tiddlyspot.com/store.cgi` and can be changed to use a custom server address//"
},
"$:/language/ControlPanel/Saving/TiddlySpot/Password": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/Password",
"text": "Password"
},
"$:/language/ControlPanel/Saving/TiddlySpot/ServerURL": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/ServerURL",
"text": "Server URL"
},
"$:/language/ControlPanel/Saving/TiddlySpot/UploadDir": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/UploadDir",
"text": "Upload Directory"
},
"$:/language/ControlPanel/Saving/TiddlySpot/UserName": {
"title": "$:/language/ControlPanel/Saving/TiddlySpot/UserName",
"text": "Wiki Name"
},
"$:/language/ControlPanel/Settings/AutoSave/Caption": {
"title": "$:/language/ControlPanel/Settings/AutoSave/Caption",
"text": "Autosave"
},
"$:/language/ControlPanel/Settings/AutoSave/Disabled/Description": {
"title": "$:/language/ControlPanel/Settings/AutoSave/Disabled/Description",
"text": "Do not save changes automatically"
},
"$:/language/ControlPanel/Settings/AutoSave/Enabled/Description": {
"title": "$:/language/ControlPanel/Settings/AutoSave/Enabled/Description",
"text": "Save changes automatically"
},
"$:/language/ControlPanel/Settings/AutoSave/Hint": {
"title": "$:/language/ControlPanel/Settings/AutoSave/Hint",
"text": "Automatically save changes during editing"
},
"$:/language/ControlPanel/Settings/Caption": {
"title": "$:/language/ControlPanel/Settings/Caption",
"text": "Settings"
},
"$:/language/ControlPanel/Settings/Hint": {
"title": "$:/language/ControlPanel/Settings/Hint",
"text": "These settings let you customise the behaviour of TiddlyWiki."
},
"$:/language/ControlPanel/Settings/NavigationAddressBar/Caption": {
"title": "$:/language/ControlPanel/Settings/NavigationAddressBar/Caption",
"text": "Navigation Address Bar"
},
"$:/language/ControlPanel/Settings/NavigationAddressBar/Hint": {
"title": "$:/language/ControlPanel/Settings/NavigationAddressBar/Hint",
"text": "Behaviour of the browser address bar when navigating to a tiddler:"
},
"$:/language/ControlPanel/Settings/NavigationAddressBar/No/Description": {
"title": "$:/language/ControlPanel/Settings/NavigationAddressBar/No/Description",
"text": "Do not update the address bar"
},
"$:/language/ControlPanel/Settings/NavigationAddressBar/Permalink/Description": {
"title": "$:/language/ControlPanel/Settings/NavigationAddressBar/Permalink/Description",
"text": "Include the target tiddler"
},
"$:/language/ControlPanel/Settings/NavigationAddressBar/Permaview/Description": {
"title": "$:/language/ControlPanel/Settings/NavigationAddressBar/Permaview/Description",
"text": "Include the target tiddler and the current story sequence"
},
"$:/language/ControlPanel/Settings/NavigationHistory/Caption": {
"title": "$:/language/ControlPanel/Settings/NavigationHistory/Caption",
"text": "Navigation History"
},
"$:/language/ControlPanel/Settings/NavigationHistory/Hint": {
"title": "$:/language/ControlPanel/Settings/NavigationHistory/Hint",
"text": "Update browser history when navigating to a tiddler:"
},
"$:/language/ControlPanel/Settings/NavigationHistory/No/Description": {
"title": "$:/language/ControlPanel/Settings/NavigationHistory/No/Description",
"text": "Do not update history"
},
"$:/language/ControlPanel/Settings/NavigationHistory/Yes/Description": {
"title": "$:/language/ControlPanel/Settings/NavigationHistory/Yes/Description",
"text": "Update history"
},
"$:/language/ControlPanel/Settings/ToolbarButtons/Caption": {
"title": "$:/language/ControlPanel/Settings/ToolbarButtons/Caption",
"text": "Toolbar Buttons"
},
"$:/language/ControlPanel/Settings/ToolbarButtons/Hint": {
"title": "$:/language/ControlPanel/Settings/ToolbarButtons/Hint",
"text": "Default toolbar button appearance:"
},
"$:/language/ControlPanel/Settings/ToolbarButtons/Icons/Description": {
"title": "$:/language/ControlPanel/Settings/ToolbarButtons/Icons/Description",
"text": "Include icon"
},
"$:/language/ControlPanel/Settings/ToolbarButtons/Text/Description": {
"title": "$:/language/ControlPanel/Settings/ToolbarButtons/Text/Description",
"text": "Include text"
},
"$:/language/ControlPanel/StoryView/Caption": {
"title": "$:/language/ControlPanel/StoryView/Caption",
"text": "Story View"
},
"$:/language/ControlPanel/StoryView/Prompt": {
"title": "$:/language/ControlPanel/StoryView/Prompt",
"text": "Current view:"
},
"$:/language/ControlPanel/Theme/Caption": {
"title": "$:/language/ControlPanel/Theme/Caption",
"text": "Theme"
},
"$:/language/ControlPanel/Theme/Prompt": {
"title": "$:/language/ControlPanel/Theme/Prompt",
"text": "Current theme:"
},
"$:/language/ControlPanel/TiddlerFields/Caption": {
"title": "$:/language/ControlPanel/TiddlerFields/Caption",
"text": "Tiddler Fields"
},
"$:/language/ControlPanel/TiddlerFields/Hint": {
"title": "$:/language/ControlPanel/TiddlerFields/Hint",
"text": "This is the full set of TiddlerFields in use in this wiki (including system tiddlers but excluding shadow tiddlers)."
},
"$:/language/ControlPanel/Toolbars/Caption": {
"title": "$:/language/ControlPanel/Toolbars/Caption",
"text": "Toolbars"
},
"$:/language/ControlPanel/Toolbars/EditToolbar/Caption": {
"title": "$:/language/ControlPanel/Toolbars/EditToolbar/Caption",
"text": "Edit Toolbar"
},
"$:/language/ControlPanel/Toolbars/EditToolbar/Hint": {
"title": "$:/language/ControlPanel/Toolbars/EditToolbar/Hint",
"text": "Choose which buttons are displayed for tiddlers in edit mode"
},
"$:/language/ControlPanel/Toolbars/Hint": {
"title": "$:/language/ControlPanel/Toolbars/Hint",
"text": "Select which toolbar buttons are displayed"
},
"$:/language/ControlPanel/Toolbars/PageControls/Caption": {
"title": "$:/language/ControlPanel/Toolbars/PageControls/Caption",
"text": "Page Toolbar"
},
"$:/language/ControlPanel/Toolbars/PageControls/Hint": {
"title": "$:/language/ControlPanel/Toolbars/PageControls/Hint",
"text": "Choose which buttons are displayed on the main page toolbar "
},
"$:/language/ControlPanel/Toolbars/ViewToolbar/Caption": {
"title": "$:/language/ControlPanel/Toolbars/ViewToolbar/Caption",
"text": "View Toolbar"
},
"$:/language/ControlPanel/Toolbars/ViewToolbar/Hint": {
"title": "$:/language/ControlPanel/Toolbars/ViewToolbar/Hint",
"text": "Choose which buttons are displayed for tiddlers in view mode"
},
"$:/language/ControlPanel/Tools/Download/Full/Caption": {
"title": "$:/language/ControlPanel/Tools/Download/Full/Caption",
"text": "Download full wiki"
},
"$:/language/Date/DaySuffix/1": {
"title": "$:/language/Date/DaySuffix/1",
"text": "st"
},
"$:/language/Date/DaySuffix/2": {
"title": "$:/language/Date/DaySuffix/2",
"text": "nd"
},
"$:/language/Date/DaySuffix/3": {
"title": "$:/language/Date/DaySuffix/3",
"text": "rd"
},
"$:/language/Date/DaySuffix/4": {
"title": "$:/language/Date/DaySuffix/4",
"text": "th"
},
"$:/language/Date/DaySuffix/5": {
"title": "$:/language/Date/DaySuffix/5",
"text": "th"
},
"$:/language/Date/DaySuffix/6": {
"title": "$:/language/Date/DaySuffix/6",
"text": "th"
},
"$:/language/Date/DaySuffix/7": {
"title": "$:/language/Date/DaySuffix/7",
"text": "th"
},
"$:/language/Date/DaySuffix/8": {
"title": "$:/language/Date/DaySuffix/8",
"text": "th"
},
"$:/language/Date/DaySuffix/9": {
"title": "$:/language/Date/DaySuffix/9",
"text": "th"
},
"$:/language/Date/DaySuffix/10": {
"title": "$:/language/Date/DaySuffix/10",
"text": "th"
},
"$:/language/Date/DaySuffix/11": {
"title": "$:/language/Date/DaySuffix/11",
"text": "th"
},
"$:/language/Date/DaySuffix/12": {
"title": "$:/language/Date/DaySuffix/12",
"text": "th"
},
"$:/language/Date/DaySuffix/13": {
"title": "$:/language/Date/DaySuffix/13",
"text": "th"
},
"$:/language/Date/DaySuffix/14": {
"title": "$:/language/Date/DaySuffix/14",
"text": "th"
},
"$:/language/Date/DaySuffix/15": {
"title": "$:/language/Date/DaySuffix/15",
"text": "th"
},
"$:/language/Date/DaySuffix/16": {
"title": "$:/language/Date/DaySuffix/16",
"text": "th"
},
"$:/language/Date/DaySuffix/17": {
"title": "$:/language/Date/DaySuffix/17",
"text": "th"
},
"$:/language/Date/DaySuffix/18": {
"title": "$:/language/Date/DaySuffix/18",
"text": "th"
},
"$:/language/Date/DaySuffix/19": {
"title": "$:/language/Date/DaySuffix/19",
"text": "th"
},
"$:/language/Date/DaySuffix/20": {
"title": "$:/language/Date/DaySuffix/20",
"text": "th"
},
"$:/language/Date/DaySuffix/21": {
"title": "$:/language/Date/DaySuffix/21",
"text": "st"
},
"$:/language/Date/DaySuffix/22": {
"title": "$:/language/Date/DaySuffix/22",
"text": "nd"
},
"$:/language/Date/DaySuffix/23": {
"title": "$:/language/Date/DaySuffix/23",
"text": "rd"
},
"$:/language/Date/DaySuffix/24": {
"title": "$:/language/Date/DaySuffix/24",
"text": "th"
},
"$:/language/Date/DaySuffix/25": {
"title": "$:/language/Date/DaySuffix/25",
"text": "th"
},
"$:/language/Date/DaySuffix/26": {
"title": "$:/language/Date/DaySuffix/26",
"text": "th"
},
"$:/language/Date/DaySuffix/27": {
"title": "$:/language/Date/DaySuffix/27",
"text": "th"
},
"$:/language/Date/DaySuffix/28": {
"title": "$:/language/Date/DaySuffix/28",
"text": "th"
},
"$:/language/Date/DaySuffix/29": {
"title": "$:/language/Date/DaySuffix/29",
"text": "th"
},
"$:/language/Date/DaySuffix/30": {
"title": "$:/language/Date/DaySuffix/30",
"text": "th"
},
"$:/language/Date/DaySuffix/31": {
"title": "$:/language/Date/DaySuffix/31",
"text": "st"
},
"$:/language/Date/Long/Day/0": {
"title": "$:/language/Date/Long/Day/0",
"text": "Sunday"
},
"$:/language/Date/Long/Day/1": {
"title": "$:/language/Date/Long/Day/1",
"text": "Monday"
},
"$:/language/Date/Long/Day/2": {
"title": "$:/language/Date/Long/Day/2",
"text": "Tuesday"
},
"$:/language/Date/Long/Day/3": {
"title": "$:/language/Date/Long/Day/3",
"text": "Wednesday"
},
"$:/language/Date/Long/Day/4": {
"title": "$:/language/Date/Long/Day/4",
"text": "Thursday"
},
"$:/language/Date/Long/Day/5": {
"title": "$:/language/Date/Long/Day/5",
"text": "Friday"
},
"$:/language/Date/Long/Day/6": {
"title": "$:/language/Date/Long/Day/6",
"text": "Saturday"
},
"$:/language/Date/Long/Month/1": {
"title": "$:/language/Date/Long/Month/1",
"text": "January"
},
"$:/language/Date/Long/Month/2": {
"title": "$:/language/Date/Long/Month/2",
"text": "February"
},
"$:/language/Date/Long/Month/3": {
"title": "$:/language/Date/Long/Month/3",
"text": "March"
},
"$:/language/Date/Long/Month/4": {
"title": "$:/language/Date/Long/Month/4",
"text": "April"
},
"$:/language/Date/Long/Month/5": {
"title": "$:/language/Date/Long/Month/5",
"text": "May"
},
"$:/language/Date/Long/Month/6": {
"title": "$:/language/Date/Long/Month/6",
"text": "June"
},
"$:/language/Date/Long/Month/7": {
"title": "$:/language/Date/Long/Month/7",
"text": "July"
},
"$:/language/Date/Long/Month/8": {
"title": "$:/language/Date/Long/Month/8",
"text": "August"
},
"$:/language/Date/Long/Month/9": {
"title": "$:/language/Date/Long/Month/9",
"text": "September"
},
"$:/language/Date/Long/Month/10": {
"title": "$:/language/Date/Long/Month/10",
"text": "October"
},
"$:/language/Date/Long/Month/11": {
"title": "$:/language/Date/Long/Month/11",
"text": "November"
},
"$:/language/Date/Long/Month/12": {
"title": "$:/language/Date/Long/Month/12",
"text": "December"
},
"$:/language/Date/Period/am": {
"title": "$:/language/Date/Period/am",
"text": "am"
},
"$:/language/Date/Period/pm": {
"title": "$:/language/Date/Period/pm",
"text": "pm"
},
"$:/language/Date/Short/Day/0": {
"title": "$:/language/Date/Short/Day/0",
"text": "Sun"
},
"$:/language/Date/Short/Day/1": {
"title": "$:/language/Date/Short/Day/1",
"text": "Mon"
},
"$:/language/Date/Short/Day/2": {
"title": "$:/language/Date/Short/Day/2",
"text": "Tue"
},
"$:/language/Date/Short/Day/3": {
"title": "$:/language/Date/Short/Day/3",
"text": "Wed"
},
"$:/language/Date/Short/Day/4": {
"title": "$:/language/Date/Short/Day/4",
"text": "Thu"
},
"$:/language/Date/Short/Day/5": {
"title": "$:/language/Date/Short/Day/5",
"text": "Fri"
},
"$:/language/Date/Short/Day/6": {
"title": "$:/language/Date/Short/Day/6",
"text": "Sat"
},
"$:/language/Date/Short/Month/1": {
"title": "$:/language/Date/Short/Month/1",
"text": "Jan"
},
"$:/language/Date/Short/Month/2": {
"title": "$:/language/Date/Short/Month/2",
"text": "Feb"
},
"$:/language/Date/Short/Month/3": {
"title": "$:/language/Date/Short/Month/3",
"text": "Mar"
},
"$:/language/Date/Short/Month/4": {
"title": "$:/language/Date/Short/Month/4",
"text": "Apr"
},
"$:/language/Date/Short/Month/5": {
"title": "$:/language/Date/Short/Month/5",
"text": "May"
},
"$:/language/Date/Short/Month/6": {
"title": "$:/language/Date/Short/Month/6",
"text": "Jun"
},
"$:/language/Date/Short/Month/7": {
"title": "$:/language/Date/Short/Month/7",
"text": "Jul"
},
"$:/language/Date/Short/Month/8": {
"title": "$:/language/Date/Short/Month/8",
"text": "Aug"
},
"$:/language/Date/Short/Month/9": {
"title": "$:/language/Date/Short/Month/9",
"text": "Sep"
},
"$:/language/Date/Short/Month/10": {
"title": "$:/language/Date/Short/Month/10",
"text": "Oct"
},
"$:/language/Date/Short/Month/11": {
"title": "$:/language/Date/Short/Month/11",
"text": "Nov"
},
"$:/language/Date/Short/Month/12": {
"title": "$:/language/Date/Short/Month/12",
"text": "Dec"
},
"$:/language/RelativeDate/Future/Days": {
"title": "$:/language/RelativeDate/Future/Days",
"text": "<<period>> days from now"
},
"$:/language/RelativeDate/Future/Hours": {
"title": "$:/language/RelativeDate/Future/Hours",
"text": "<<period>> hours from now"
},
"$:/language/RelativeDate/Future/Minutes": {
"title": "$:/language/RelativeDate/Future/Minutes",
"text": "<<period>> minutes from now"
},
"$:/language/RelativeDate/Future/Months": {
"title": "$:/language/RelativeDate/Future/Months",
"text": "<<period>> months from now"
},
"$:/language/RelativeDate/Future/Second": {
"title": "$:/language/RelativeDate/Future/Second",
"text": "1 second from now"
},
"$:/language/RelativeDate/Future/Seconds": {
"title": "$:/language/RelativeDate/Future/Seconds",
"text": "<<period>> seconds from now"
},
"$:/language/RelativeDate/Future/Years": {
"title": "$:/language/RelativeDate/Future/Years",
"text": "<<period>> years from now"
},
"$:/language/RelativeDate/Past/Days": {
"title": "$:/language/RelativeDate/Past/Days",
"text": "<<period>> days ago"
},
"$:/language/RelativeDate/Past/Hours": {
"title": "$:/language/RelativeDate/Past/Hours",
"text": "<<period>> hours ago"
},
"$:/language/RelativeDate/Past/Minutes": {
"title": "$:/language/RelativeDate/Past/Minutes",
"text": "<<period>> minutes ago"
},
"$:/language/RelativeDate/Past/Months": {
"title": "$:/language/RelativeDate/Past/Months",
"text": "<<period>> months ago"
},
"$:/language/RelativeDate/Past/Second": {
"title": "$:/language/RelativeDate/Past/Second",
"text": "1 second ago"
},
"$:/language/RelativeDate/Past/Seconds": {
"title": "$:/language/RelativeDate/Past/Seconds",
"text": "<<period>> seconds ago"
},
"$:/language/RelativeDate/Past/Years": {
"title": "$:/language/RelativeDate/Past/Years",
"text": "<<period>> years ago"
},
"$:/language/Docs/ModuleTypes/animation": {
"title": "$:/language/Docs/ModuleTypes/animation",
"text": "Animations that may be used with the RevealWidget."
},
"$:/language/Docs/ModuleTypes/command": {
"title": "$:/language/Docs/ModuleTypes/command",
"text": "Commands that can be executed under Node.js."
},
"$:/language/Docs/ModuleTypes/config": {
"title": "$:/language/Docs/ModuleTypes/config",
"text": "Data to be inserted into `$tw.config`."
},
"$:/language/Docs/ModuleTypes/filteroperator": {
"title": "$:/language/Docs/ModuleTypes/filteroperator",
"text": "Individual filter operator methods."
},
"$:/language/Docs/ModuleTypes/global": {
"title": "$:/language/Docs/ModuleTypes/global",
"text": "Global data to be inserted into `$tw`."
},
"$:/language/Docs/ModuleTypes/isfilteroperator": {
"title": "$:/language/Docs/ModuleTypes/isfilteroperator",
"text": "Operands for the ''is'' filter operator."
},
"$:/language/Docs/ModuleTypes/macro": {
"title": "$:/language/Docs/ModuleTypes/macro",
"text": "JavaScript macro definitions."
},
"$:/language/Docs/ModuleTypes/parser": {
"title": "$:/language/Docs/ModuleTypes/parser",
"text": "Parsers for different content types."
},
"$:/language/Docs/ModuleTypes/saver": {
"title": "$:/language/Docs/ModuleTypes/saver",
"text": "Savers handle different methods for saving files from the browser."
},
"$:/language/Docs/ModuleTypes/startup": {
"title": "$:/language/Docs/ModuleTypes/startup",
"text": "Startup functions."
},
"$:/language/Docs/ModuleTypes/storyview": {
"title": "$:/language/Docs/ModuleTypes/storyview",
"text": "Story views customise the animation and behaviour of list widgets."
},
"$:/language/Docs/ModuleTypes/tiddlerdeserializer": {
"title": "$:/language/Docs/ModuleTypes/tiddlerdeserializer",
"text": "Converts different content types into tiddlers."
},
"$:/language/Docs/ModuleTypes/tiddlerfield": {
"title": "$:/language/Docs/ModuleTypes/tiddlerfield",
"text": "Defines the behaviour of an individual tiddler field."
},
"$:/language/Docs/ModuleTypes/tiddlermethod": {
"title": "$:/language/Docs/ModuleTypes/tiddlermethod",
"text": "Adds methods to the `$tw.Tiddler` prototype."
},
"$:/language/Docs/ModuleTypes/upgrader": {
"title": "$:/language/Docs/ModuleTypes/upgrader",
"text": "Applies upgrade processing to tiddlers during an upgrade/import."
},
"$:/language/Docs/ModuleTypes/utils": {
"title": "$:/language/Docs/ModuleTypes/utils",
"text": "Adds methods to `$tw.utils`."
},
"$:/language/Docs/ModuleTypes/utils-node": {
"title": "$:/language/Docs/ModuleTypes/utils-node",
"text": "Adds Node.js-specific methods to `$tw.utils`."
},
"$:/language/Docs/ModuleTypes/widget": {
"title": "$:/language/Docs/ModuleTypes/widget",
"text": "Widgets encapsulate DOM rendering and refreshing."
},
"$:/language/Docs/ModuleTypes/wikimethod": {
"title": "$:/language/Docs/ModuleTypes/wikimethod",
"text": "Adds methods to `$tw.Wiki`."
},
"$:/language/Docs/ModuleTypes/wikirule": {
"title": "$:/language/Docs/ModuleTypes/wikirule",
"text": "Individual parser rules for the main WikiText parser."
},
"$:/language/Docs/PaletteColours/alert-background": {
"title": "$:/language/Docs/PaletteColours/alert-background",
"text": "Alert background"
},
"$:/language/Docs/PaletteColours/alert-border": {
"title": "$:/language/Docs/PaletteColours/alert-border",
"text": "Alert border"
},
"$:/language/Docs/PaletteColours/alert-highlight": {
"title": "$:/language/Docs/PaletteColours/alert-highlight",
"text": "Alert highlight"
},
"$:/language/Docs/PaletteColours/alert-muted-foreground": {
"title": "$:/language/Docs/PaletteColours/alert-muted-foreground",
"text": "Alert muted foreground"
},
"$:/language/Docs/PaletteColours/background": {
"title": "$:/language/Docs/PaletteColours/background",
"text": "General background"
},
"$:/language/Docs/PaletteColours/blockquote-bar": {
"title": "$:/language/Docs/PaletteColours/blockquote-bar",
"text": "Blockquote bar"
},
"$:/language/Docs/PaletteColours/dirty-indicator": {
"title": "$:/language/Docs/PaletteColours/dirty-indicator",
"text": "Unsaved changes indicator"
},
"$:/language/Docs/PaletteColours/code-background": {
"title": "$:/language/Docs/PaletteColours/code-background",
"text": "Code background"
},
"$:/language/Docs/PaletteColours/code-border": {
"title": "$:/language/Docs/PaletteColours/code-border",
"text": "Code border"
},
"$:/language/Docs/PaletteColours/code-foreground": {
"title": "$:/language/Docs/PaletteColours/code-foreground",
"text": "Code foreground"
},
"$:/language/Docs/PaletteColours/download-background": {
"title": "$:/language/Docs/PaletteColours/download-background",
"text": "Download button background"
},
"$:/language/Docs/PaletteColours/download-foreground": {
"title": "$:/language/Docs/PaletteColours/download-foreground",
"text": "Download button foreground"
},
"$:/language/Docs/PaletteColours/dragger-background": {
"title": "$:/language/Docs/PaletteColours/dragger-background",
"text": "Dragger background"
},
"$:/language/Docs/PaletteColours/dragger-foreground": {
"title": "$:/language/Docs/PaletteColours/dragger-foreground",
"text": "Dragger foreground"
},
"$:/language/Docs/PaletteColours/dropdown-background": {
"title": "$:/language/Docs/PaletteColours/dropdown-background",
"text": "Dropdown background"
},
"$:/language/Docs/PaletteColours/dropdown-border": {
"title": "$:/language/Docs/PaletteColours/dropdown-border",
"text": "Dropdown border"
},
"$:/language/Docs/PaletteColours/dropdown-tab-background-selected": {
"title": "$:/language/Docs/PaletteColours/dropdown-tab-background-selected",
"text": "Dropdown tab background for selected tabs"
},
"$:/language/Docs/PaletteColours/dropdown-tab-background": {
"title": "$:/language/Docs/PaletteColours/dropdown-tab-background",
"text": "Dropdown tab background"
},
"$:/language/Docs/PaletteColours/dropzone-background": {
"title": "$:/language/Docs/PaletteColours/dropzone-background",
"text": "Dropzone background"
},
"$:/language/Docs/PaletteColours/external-link-background-hover": {
"title": "$:/language/Docs/PaletteColours/external-link-background-hover",
"text": "External link background hover"
},
"$:/language/Docs/PaletteColours/external-link-background-visited": {
"title": "$:/language/Docs/PaletteColours/external-link-background-visited",
"text": "External link background visited"
},
"$:/language/Docs/PaletteColours/external-link-background": {
"title": "$:/language/Docs/PaletteColours/external-link-background",
"text": "External link background"
},
"$:/language/Docs/PaletteColours/external-link-foreground-hover": {
"title": "$:/language/Docs/PaletteColours/external-link-foreground-hover",
"text": "External link foreground hover"
},
"$:/language/Docs/PaletteColours/external-link-foreground-visited": {
"title": "$:/language/Docs/PaletteColours/external-link-foreground-visited",
"text": "External link foreground visited"
},
"$:/language/Docs/PaletteColours/external-link-foreground": {
"title": "$:/language/Docs/PaletteColours/external-link-foreground",
"text": "External link foreground"
},
"$:/language/Docs/PaletteColours/foreground": {
"title": "$:/language/Docs/PaletteColours/foreground",
"text": "General foreground"
},
"$:/language/Docs/PaletteColours/message-background": {
"title": "$:/language/Docs/PaletteColours/message-background",
"text": "Message box background"
},
"$:/language/Docs/PaletteColours/message-border": {
"title": "$:/language/Docs/PaletteColours/message-border",
"text": "Message box border"
},
"$:/language/Docs/PaletteColours/message-foreground": {
"title": "$:/language/Docs/PaletteColours/message-foreground",
"text": "Message box foreground"
},
"$:/language/Docs/PaletteColours/modal-backdrop": {
"title": "$:/language/Docs/PaletteColours/modal-backdrop",
"text": "Modal backdrop"
},
"$:/language/Docs/PaletteColours/modal-background": {
"title": "$:/language/Docs/PaletteColours/modal-background",
"text": "Modal background"
},
"$:/language/Docs/PaletteColours/modal-border": {
"title": "$:/language/Docs/PaletteColours/modal-border",
"text": "Modal border"
},
"$:/language/Docs/PaletteColours/modal-footer-background": {
"title": "$:/language/Docs/PaletteColours/modal-footer-background",
"text": "Modal footer background"
},
"$:/language/Docs/PaletteColours/modal-footer-border": {
"title": "$:/language/Docs/PaletteColours/modal-footer-border",
"text": "Modal footer border"
},
"$:/language/Docs/PaletteColours/modal-header-border": {
"title": "$:/language/Docs/PaletteColours/modal-header-border",
"text": "Modal header border"
},
"$:/language/Docs/PaletteColours/muted-foreground": {
"title": "$:/language/Docs/PaletteColours/muted-foreground",
"text": "General muted foreground"
},
"$:/language/Docs/PaletteColours/notification-background": {
"title": "$:/language/Docs/PaletteColours/notification-background",
"text": "Notification background"
},
"$:/language/Docs/PaletteColours/notification-border": {
"title": "$:/language/Docs/PaletteColours/notification-border",
"text": "Notification border"
},
"$:/language/Docs/PaletteColours/page-background": {
"title": "$:/language/Docs/PaletteColours/page-background",
"text": "Page background"
},
"$:/language/Docs/PaletteColours/pre-background": {
"title": "$:/language/Docs/PaletteColours/pre-background",
"text": "Preformatted code background"
},
"$:/language/Docs/PaletteColours/pre-border": {
"title": "$:/language/Docs/PaletteColours/pre-border",
"text": "Preformatted code border"
},
"$:/language/Docs/PaletteColours/primary": {
"title": "$:/language/Docs/PaletteColours/primary",
"text": "General primary"
},
"$:/language/Docs/PaletteColours/sidebar-button-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-button-foreground",
"text": "Sidebar button foreground"
},
"$:/language/Docs/PaletteColours/sidebar-controls-foreground-hover": {
"title": "$:/language/Docs/PaletteColours/sidebar-controls-foreground-hover",
"text": "Sidebar controls foreground hover"
},
"$:/language/Docs/PaletteColours/sidebar-controls-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-controls-foreground",
"text": "Sidebar controls foreground"
},
"$:/language/Docs/PaletteColours/sidebar-foreground-shadow": {
"title": "$:/language/Docs/PaletteColours/sidebar-foreground-shadow",
"text": "Sidebar foreground shadow"
},
"$:/language/Docs/PaletteColours/sidebar-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-foreground",
"text": "Sidebar foreground"
},
"$:/language/Docs/PaletteColours/sidebar-muted-foreground-hover": {
"title": "$:/language/Docs/PaletteColours/sidebar-muted-foreground-hover",
"text": "Sidebar muted foreground hover"
},
"$:/language/Docs/PaletteColours/sidebar-muted-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-muted-foreground",
"text": "Sidebar muted foreground"
},
"$:/language/Docs/PaletteColours/sidebar-tab-background-selected": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-background-selected",
"text": "Sidebar tab background for selected tabs"
},
"$:/language/Docs/PaletteColours/sidebar-tab-background": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-background",
"text": "Sidebar tab background"
},
"$:/language/Docs/PaletteColours/sidebar-tab-border-selected": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-border-selected",
"text": "Sidebar tab border for selected tabs"
},
"$:/language/Docs/PaletteColours/sidebar-tab-border": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-border",
"text": "Sidebar tab border"
},
"$:/language/Docs/PaletteColours/sidebar-tab-divider": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-divider",
"text": "Sidebar tab divider"
},
"$:/language/Docs/PaletteColours/sidebar-tab-foreground-selected": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-foreground-selected",
"text": "Sidebar tab foreground for selected tabs"
},
"$:/language/Docs/PaletteColours/sidebar-tab-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-tab-foreground",
"text": "Sidebar tab foreground"
},
"$:/language/Docs/PaletteColours/sidebar-tiddler-link-foreground-hover": {
"title": "$:/language/Docs/PaletteColours/sidebar-tiddler-link-foreground-hover",
"text": "Sidebar tiddler link foreground hover"
},
"$:/language/Docs/PaletteColours/sidebar-tiddler-link-foreground": {
"title": "$:/language/Docs/PaletteColours/sidebar-tiddler-link-foreground",
"text": "Sidebar tiddler link foreground"
},
"$:/language/Docs/PaletteColours/static-alert-foreground": {
"title": "$:/language/Docs/PaletteColours/static-alert-foreground",
"text": "Static alert foreground"
},
"$:/language/Docs/PaletteColours/tab-background-selected": {
"title": "$:/language/Docs/PaletteColours/tab-background-selected",
"text": "Tab background for selected tabs"
},
"$:/language/Docs/PaletteColours/tab-background": {
"title": "$:/language/Docs/PaletteColours/tab-background",
"text": "Tab background"
},
"$:/language/Docs/PaletteColours/tab-border-selected": {
"title": "$:/language/Docs/PaletteColours/tab-border-selected",
"text": "Tab border for selected tabs"
},
"$:/language/Docs/PaletteColours/tab-border": {
"title": "$:/language/Docs/PaletteColours/tab-border",
"text": "Tab border"
},
"$:/language/Docs/PaletteColours/tab-divider": {
"title": "$:/language/Docs/PaletteColours/tab-divider",
"text": "Tab divider"
},
"$:/language/Docs/PaletteColours/tab-foreground-selected": {
"title": "$:/language/Docs/PaletteColours/tab-foreground-selected",
"text": "Tab foreground for selected tabs"
},
"$:/language/Docs/PaletteColours/tab-foreground": {
"title": "$:/language/Docs/PaletteColours/tab-foreground",
"text": "Tab foreground"
},
"$:/language/Docs/PaletteColours/table-border": {
"title": "$:/language/Docs/PaletteColours/table-border",
"text": "Table border"
},
"$:/language/Docs/PaletteColours/table-footer-background": {
"title": "$:/language/Docs/PaletteColours/table-footer-background",
"text": "Table footer background"
},
"$:/language/Docs/PaletteColours/table-header-background": {
"title": "$:/language/Docs/PaletteColours/table-header-background",
"text": "Table header background"
},
"$:/language/Docs/PaletteColours/tag-background": {
"title": "$:/language/Docs/PaletteColours/tag-background",
"text": "Tag background"
},
"$:/language/Docs/PaletteColours/tag-foreground": {
"title": "$:/language/Docs/PaletteColours/tag-foreground",
"text": "Tag foreground"
},
"$:/language/Docs/PaletteColours/tiddler-background": {
"title": "$:/language/Docs/PaletteColours/tiddler-background",
"text": "Tiddler background"
},
"$:/language/Docs/PaletteColours/tiddler-border": {
"title": "$:/language/Docs/PaletteColours/tiddler-border",
"text": "Tiddler border"
},
"$:/language/Docs/PaletteColours/tiddler-controls-foreground-hover": {
"title": "$:/language/Docs/PaletteColours/tiddler-controls-foreground-hover",
"text": "Tiddler controls foreground hover"
},
"$:/language/Docs/PaletteColours/tiddler-controls-foreground-selected": {
"title": "$:/language/Docs/PaletteColours/tiddler-controls-foreground-selected",
"text": "Tiddler controls foreground for selected controls"
},
"$:/language/Docs/PaletteColours/tiddler-controls-foreground": {
"title": "$:/language/Docs/PaletteColours/tiddler-controls-foreground",
"text": "Tiddler controls foreground"
},
"$:/language/Docs/PaletteColours/tiddler-editor-background": {
"title": "$:/language/Docs/PaletteColours/tiddler-editor-background",
"text": "Tiddler editor background"
},
"$:/language/Docs/PaletteColours/tiddler-editor-border-image": {
"title": "$:/language/Docs/PaletteColours/tiddler-editor-border-image",
"text": "Tiddler editor border image"
},
"$:/language/Docs/PaletteColours/tiddler-editor-border": {
"title": "$:/language/Docs/PaletteColours/tiddler-editor-border",
"text": "Tiddler editor border"
},
"$:/language/Docs/PaletteColours/tiddler-editor-fields-even": {
"title": "$:/language/Docs/PaletteColours/tiddler-editor-fields-even",
"text": "Tiddler editor background for even fields"
},
"$:/language/Docs/PaletteColours/tiddler-editor-fields-odd": {
"title": "$:/language/Docs/PaletteColours/tiddler-editor-fields-odd",
"text": "Tiddler editor background for odd fields"
},
"$:/language/Docs/PaletteColours/tiddler-info-background": {
"title": "$:/language/Docs/PaletteColours/tiddler-info-background",
"text": "Tiddler info panel background"
},
"$:/language/Docs/PaletteColours/tiddler-info-border": {
"title": "$:/language/Docs/PaletteColours/tiddler-info-border",
"text": "Tiddler info panel border"
},
"$:/language/Docs/PaletteColours/tiddler-info-tab-background": {
"title": "$:/language/Docs/PaletteColours/tiddler-info-tab-background",
"text": "Tiddler info panel tab background"
},
"$:/language/Docs/PaletteColours/tiddler-link-background": {
"title": "$:/language/Docs/PaletteColours/tiddler-link-background",
"text": "Tiddler link background"
},
"$:/language/Docs/PaletteColours/tiddler-link-foreground": {
"title": "$:/language/Docs/PaletteColours/tiddler-link-foreground",
"text": "Tiddler link foreground"
},
"$:/language/Docs/PaletteColours/tiddler-subtitle-foreground": {
"title": "$:/language/Docs/PaletteColours/tiddler-subtitle-foreground",
"text": "Tiddler subtitle foreground"
},
"$:/language/Docs/PaletteColours/tiddler-title-foreground": {
"title": "$:/language/Docs/PaletteColours/tiddler-title-foreground",
"text": "Tiddler title foreground"
},
"$:/language/Docs/PaletteColours/toolbar-new-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-new-button",
"text": "Toolbar 'new tiddler' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-options-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-options-button",
"text": "Toolbar 'options' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-save-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-save-button",
"text": "Toolbar 'save' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-info-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-info-button",
"text": "Toolbar 'info' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-edit-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-edit-button",
"text": "Toolbar 'edit' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-close-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-close-button",
"text": "Toolbar 'close' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-delete-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-delete-button",
"text": "Toolbar 'delete' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-cancel-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-cancel-button",
"text": "Toolbar 'cancel' button foreground"
},
"$:/language/Docs/PaletteColours/toolbar-done-button": {
"title": "$:/language/Docs/PaletteColours/toolbar-done-button",
"text": "Toolbar 'done' button foreground"
},
"$:/language/Docs/PaletteColours/untagged-background": {
"title": "$:/language/Docs/PaletteColours/untagged-background",
"text": "Untagged pill background"
},
"$:/language/Docs/PaletteColours/very-muted-foreground": {
"title": "$:/language/Docs/PaletteColours/very-muted-foreground",
"text": "Very muted foreground"
},
"$:/language/EditTemplate/Body/External/Hint": {
"title": "$:/language/EditTemplate/Body/External/Hint",
"text": "This is an external tiddler stored outside of the main TiddlyWiki file. You can edit the tags and fields but cannot directly edit the content itself"
},
"$:/language/EditTemplate/Body/Hint": {
"title": "$:/language/EditTemplate/Body/Hint",
"text": "Use [[wiki text|http://tiddlywiki.com/static/WikiText.html]] to add formatting, images, and dynamic features"
},
"$:/language/EditTemplate/Body/Placeholder": {
"title": "$:/language/EditTemplate/Body/Placeholder",
"text": "Type the text for this tiddler"
},
"$:/language/EditTemplate/Body/Preview/Button/Hide": {
"title": "$:/language/EditTemplate/Body/Preview/Button/Hide",
"text": "hide preview"
},
"$:/language/EditTemplate/Body/Preview/Button/Show": {
"title": "$:/language/EditTemplate/Body/Preview/Button/Show",
"text": "show preview"
},
"$:/language/EditTemplate/Field/Remove/Caption": {
"title": "$:/language/EditTemplate/Field/Remove/Caption",
"text": "remove field"
},
"$:/language/EditTemplate/Field/Remove/Hint": {
"title": "$:/language/EditTemplate/Field/Remove/Hint",
"text": "Remove field"
},
"$:/language/EditTemplate/Fields/Add/Button": {
"title": "$:/language/EditTemplate/Fields/Add/Button",
"text": "add"
},
"$:/language/EditTemplate/Fields/Add/Name/Placeholder": {
"title": "$:/language/EditTemplate/Fields/Add/Name/Placeholder",
"text": "field name"
},
"$:/language/EditTemplate/Fields/Add/Prompt": {
"title": "$:/language/EditTemplate/Fields/Add/Prompt",
"text": "Add a new field:"
},
"$:/language/EditTemplate/Fields/Add/Value/Placeholder": {
"title": "$:/language/EditTemplate/Fields/Add/Value/Placeholder",
"text": "field value"
},
"$:/language/EditTemplate/Shadow/Warning": {
"title": "$:/language/EditTemplate/Shadow/Warning",
"text": "This is a shadow tiddler. Any changes will override the default version"
},
"$:/language/EditTemplate/Shadow/OverriddenWarning": {
"title": "$:/language/EditTemplate/Shadow/OverriddenWarning",
"text": "This is a modified shadow tiddler. You can revert to the default version by deleting this tiddler"
},
"$:/language/EditTemplate/Tags/Add/Button": {
"title": "$:/language/EditTemplate/Tags/Add/Button",
"text": "add"
},
"$:/language/EditTemplate/Tags/Add/Placeholder": {
"title": "$:/language/EditTemplate/Tags/Add/Placeholder",
"text": "tag name"
},
"$:/language/EditTemplate/Tags/Dropdown/Caption": {
"title": "$:/language/EditTemplate/Tags/Dropdown/Caption",
"text": "tag list"
},
"$:/language/EditTemplate/Tags/Dropdown/Hint": {
"title": "$:/language/EditTemplate/Tags/Dropdown/Hint",
"text": "Show tag list"
},
"$:/language/EditTemplate/Type/Dropdown/Caption": {
"title": "$:/language/EditTemplate/Type/Dropdown/Caption",
"text": "content type list"
},
"$:/language/EditTemplate/Type/Dropdown/Hint": {
"title": "$:/language/EditTemplate/Type/Dropdown/Hint",
"text": "Show content type list"
},
"$:/language/EditTemplate/Type/Delete/Caption": {
"title": "$:/language/EditTemplate/Type/Delete/Caption",
"text": "delete content type"
},
"$:/language/EditTemplate/Type/Delete/Hint": {
"title": "$:/language/EditTemplate/Type/Delete/Hint",
"text": "Delete content type"
},
"$:/language/EditTemplate/Type/Placeholder": {
"title": "$:/language/EditTemplate/Type/Placeholder",
"text": "content type"
},
"$:/language/EditTemplate/Type/Prompt": {
"title": "$:/language/EditTemplate/Type/Prompt",
"text": "Type:"
},
"$:/language/Exporters/StaticRiver": {
"title": "$:/language/Exporters/StaticRiver",
"text": "River of tiddlers as static HTML file"
},
"$:/language/Exporters/JsonFile": {
"title": "$:/language/Exporters/JsonFile",
"text": "JSON tiddlers file"
},
"$:/language/Exporters/CsvFile": {
"title": "$:/language/Exporters/CsvFile",
"text": "CSV tiddlers file"
},
"$:/language/Exporters/TidFile": {
"title": "$:/language/Exporters/TidFile",
"text": "Single tiddler \".tid\" file"
},
"$:/language/Docs/Fields/_canonical_uri": {
"title": "$:/language/Docs/Fields/_canonical_uri",
"text": "The full URI of an external image tiddler"
},
"$:/language/Docs/Fields/bag": {
"title": "$:/language/Docs/Fields/bag",
"text": "The name of the bag from which a tiddler came"
},
"$:/language/Docs/Fields/caption": {
"title": "$:/language/Docs/Fields/caption",
"text": "The text to be displayed on a tab or button"
},
"$:/language/Docs/Fields/color": {
"title": "$:/language/Docs/Fields/color",
"text": "The CSS color value associated with a tiddler"
},
"$:/language/Docs/Fields/component": {
"title": "$:/language/Docs/Fields/component",
"text": "The name of the component responsible for an [[alert tiddler|AlertMechanism]]"
},
"$:/language/Docs/Fields/current-tiddler": {
"title": "$:/language/Docs/Fields/current-tiddler",
"text": "Used to cache the top tiddler in a [[history list|HistoryMechanism]]"
},
"$:/language/Docs/Fields/created": {
"title": "$:/language/Docs/Fields/created",
"text": "The date a tiddler was created"
},
"$:/language/Docs/Fields/creator": {
"title": "$:/language/Docs/Fields/creator",
"text": "The name of the person who created a tiddler"
},
"$:/language/Docs/Fields/dependents": {
"title": "$:/language/Docs/Fields/dependents",
"text": "For a plugin, lists the dependent plugin titles"
},
"$:/language/Docs/Fields/description": {
"title": "$:/language/Docs/Fields/description",
"text": "The descriptive text for a plugin, or a modal dialogue"
},
"$:/language/Docs/Fields/draft.of": {
"title": "$:/language/Docs/Fields/draft.of",
"text": "For draft tiddlers, contains the title of the tiddler of which this is a draft"
},
"$:/language/Docs/Fields/draft.title": {
"title": "$:/language/Docs/Fields/draft.title",
"text": "For draft tiddlers, contains the proposed new title of the tiddler"
},
"$:/language/Docs/Fields/footer": {
"title": "$:/language/Docs/Fields/footer",
"text": "The footer text for a wizard"
},
"$:/language/Docs/Fields/hack-to-give-us-something-to-compare-against": {
"title": "$:/language/Docs/Fields/hack-to-give-us-something-to-compare-against",
"text": "A temporary storage field used in [[$:/core/templates/static.content]]"
},
"$:/language/Docs/Fields/icon": {
"title": "$:/language/Docs/Fields/icon",
"text": "The title of the tiddler containing the icon associated with a tiddler"
},
"$:/language/Docs/Fields/library": {
"title": "$:/language/Docs/Fields/library",
"text": "If set to \"yes\" indicates that a tiddler should be saved as a JavaScript library"
},
"$:/language/Docs/Fields/list": {
"title": "$:/language/Docs/Fields/list",
"text": "An ordered list of tiddler titles associated with a tiddler"
},
"$:/language/Docs/Fields/list-before": {
"title": "$:/language/Docs/Fields/list-before",
"text": "If set, the title of a tiddler before which this tiddler should be added to the ordered list of tiddler titles, or at the start of the list if this field is present but empty"
},
"$:/language/Docs/Fields/list-after": {
"title": "$:/language/Docs/Fields/list-after",
"text": "If set, the title of the tiddler after which this tiddler should be added to the ordered list of tiddler titles"
},
"$:/language/Docs/Fields/modified": {
"title": "$:/language/Docs/Fields/modified",
"text": "The date and time at which a tiddler was last modified"
},
"$:/language/Docs/Fields/modifier": {
"title": "$:/language/Docs/Fields/modifier",
"text": "The tiddler title associated with the person who last modified a tiddler"
},
"$:/language/Docs/Fields/name": {
"title": "$:/language/Docs/Fields/name",
"text": "The human readable name associated with a plugin tiddler"
},
"$:/language/Docs/Fields/plugin-priority": {
"title": "$:/language/Docs/Fields/plugin-priority",
"text": "A numerical value indicating the priority of a plugin tiddler"
},
"$:/language/Docs/Fields/plugin-type": {
"title": "$:/language/Docs/Fields/plugin-type",
"text": "The type of plugin in a plugin tiddler"
},
"$:/language/Docs/Fields/revision": {
"title": "$:/language/Docs/Fields/revision",
"text": "The revision of the tiddler held at the server"
},
"$:/language/Docs/Fields/released": {
"title": "$:/language/Docs/Fields/released",
"text": "Date of a TiddlyWiki release"
},
"$:/language/Docs/Fields/source": {
"title": "$:/language/Docs/Fields/source",
"text": "The source URL associated with a tiddler"
},
"$:/language/Docs/Fields/subtitle": {
"title": "$:/language/Docs/Fields/subtitle",
"text": "The subtitle text for a wizard"
},
"$:/language/Docs/Fields/tags": {
"title": "$:/language/Docs/Fields/tags",
"text": "A list of tags associated with a tiddler"
},
"$:/language/Docs/Fields/text": {
"title": "$:/language/Docs/Fields/text",
"text": "The body text of a tiddler"
},
"$:/language/Docs/Fields/title": {
"title": "$:/language/Docs/Fields/title",
"text": "The unique name of a tiddler"
},
"$:/language/Docs/Fields/type": {
"title": "$:/language/Docs/Fields/type",
"text": "The content type of a tiddler"
},
"$:/language/Docs/Fields/version": {
"title": "$:/language/Docs/Fields/version",
"text": "Version information for a plugin"
},
"$:/language/Filters/AllTiddlers": {
"title": "$:/language/Filters/AllTiddlers",
"text": "All tiddlers except system tiddlers"
},
"$:/language/Filters/RecentSystemTiddlers": {
"title": "$:/language/Filters/RecentSystemTiddlers",
"text": "Recently modified tiddlers, including system tiddlers"
},
"$:/language/Filters/RecentTiddlers": {
"title": "$:/language/Filters/RecentTiddlers",
"text": "Recently modified tiddlers"
},
"$:/language/Filters/AllTags": {
"title": "$:/language/Filters/AllTags",
"text": "All tags except system tags"
},
"$:/language/Filters/Missing": {
"title": "$:/language/Filters/Missing",
"text": "Missing tiddlers"
},
"$:/language/Filters/Drafts": {
"title": "$:/language/Filters/Drafts",
"text": "Draft tiddlers"
},
"$:/language/Filters/Orphans": {
"title": "$:/language/Filters/Orphans",
"text": "Orphan tiddlers"
},
"$:/language/Filters/SystemTiddlers": {
"title": "$:/language/Filters/SystemTiddlers",
"text": "System tiddlers"
},
"$:/language/Filters/ShadowTiddlers": {
"title": "$:/language/Filters/ShadowTiddlers",
"text": "Shadow tiddlers"
},
"$:/language/Filters/OverriddenShadowTiddlers": {
"title": "$:/language/Filters/OverriddenShadowTiddlers",
"text": "Overridden shadow tiddlers"
},
"$:/language/Filters/SystemTags": {
"title": "$:/language/Filters/SystemTags",
"text": "System tags"
},
"GettingStarted": {
"title": "GettingStarted",
"text": "\\define lingo-base() $:/language/ControlPanel/Basics/\nWelcome to ~TiddlyWiki and the ~TiddlyWiki community\n\nBefore you start storing important information in ~TiddlyWiki it is important to make sure that you can reliably save changes. See http://tiddlywiki.com/#GettingStarted for details\n\n!! Set up this ~TiddlyWiki\n\n|<$link to=\"$:/SiteTitle\"><<lingo Title/Prompt>></$link> |<$edit-text tiddler=\"$:/SiteTitle\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/SiteSubtitle\"><<lingo Subtitle/Prompt>></$link> |<$edit-text tiddler=\"$:/SiteSubtitle\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/DefaultTiddlers\"><<lingo DefaultTiddlers/Prompt>></$link> |<<lingo DefaultTiddlers/TopHint>><br> <$edit-text tag=\"textarea\" tiddler=\"$:/DefaultTiddlers\"/><br>//<<lingo DefaultTiddlers/BottomHint>>// |\n\nSee the [[control panel|$:/ControlPanel]] for more options.\n"
},
"$:/language/Help/build": {
"title": "$:/language/Help/build",
"description": "Automatically run configured commands",
"text": "Build the specified build targets for the current wiki. If no build targets are specified then all available targets will be built.\n\n```\n--build <target> [<target> ...]\n```\n\nBuild targets are defined in the `tiddlywiki.info` file of a wiki folder.\n\n"
},
"$:/language/Help/clearpassword": {
"title": "$:/language/Help/clearpassword",
"description": "Clear a password for subsequent crypto operations",
"text": "Clear the password for subsequent crypto operations\n\n```\n--clearpassword\n```\n"
},
"$:/language/Help/default": {
"title": "$:/language/Help/default",
"text": "\\define commandTitle()\n$:/language/Help/$(command)$\n\\end\n```\nusage: tiddlywiki [<wikifolder>] [--<command> [<args>...]...]\n```\n\nAvailable commands:\n\n<ul>\n<$list filter=\"[commands[]sort[title]]\" variable=\"command\">\n<li><$link to=<<commandTitle>>><$macrocall $name=\"command\" $type=\"text/plain\" $output=\"text/plain\"/></$link>: <$transclude tiddler=<<commandTitle>> field=\"description\"/></li>\n</$list>\n</ul>\n\nTo get detailed help on a command:\n\n```\ntiddlywiki --help <command>\n```\n"
},
"$:/language/Help/editions": {
"title": "$:/language/Help/editions",
"description": "Lists the available editions of TiddlyWiki",
"text": "Lists the names and descriptions of the available editions. You can create a new wiki of a specified edition with the `--init` command.\n\n```\n--editions\n```\n"
},
"$:/language/Help/help": {
"title": "$:/language/Help/help",
"description": "Display help for TiddlyWiki commands",
"text": "Displays help text for a command:\n\n```\n--help [<command>]\n```\n\nIf the command name is omitted then a list of available commands is displayed.\n"
},
"$:/language/Help/init": {
"title": "$:/language/Help/init",
"description": "Initialise a new wiki folder",
"text": "Initialise an empty [[WikiFolder|WikiFolders]] with a copy of the specified edition.\n\n```\n--init <edition> [<edition> ...]\n```\n\nFor example:\n\n```\ntiddlywiki ./MyWikiFolder --init empty\n```\n\nNote:\n\n* The wiki folder directory will be created if necessary\n* The \"edition\" defaults to ''empty''\n* The init command will fail if the wiki folder is not empty\n* The init command removes any `includeWikis` definitions in the edition's `tiddlywiki.info` file\n* When multiple editions are specified, editions initialised later will overwrite any files shared with earlier editions (so, the final `tiddlywiki.info` file will be copied from the last edition)\n* `--editions` returns a list of available editions\n"
},
"$:/language/Help/load": {
"title": "$:/language/Help/load",
"description": "Load tiddlers from a file",
"text": "Load tiddlers from 2.x.x TiddlyWiki files (`.html`), `.tiddler`, `.tid`, `.json` or other files \n\n```\n--load <filepath>\n```\n\nTo load tiddlers from an encrypted TiddlyWiki file you should first specify the password with the PasswordCommand. For example:\n\n```\ntiddlywiki ./MyWiki --password pa55w0rd --load my_encrypted_wiki.html\n```\n\nNote that TiddlyWiki will not load an older version of an already loaded plugin.\n"
},
"$:/language/Help/makelibrary": {
"title": "$:/language/Help/makelibrary",
"description": "Construct library plugin required by upgrade process",
"text": "Constructs the `$:/UpgradeLibrary` tiddler for the upgrade process.\n\nThe upgrade library is formatted as an ordinary plugin tiddler with the plugin type `library`. It contains a copy of each of the plugins, themes and language packs available within the TiddlyWiki5 repository.\n\nThis command is intended for internal use; it is only relevant to users constructing a custom upgrade procedure.\n\n```\n--makelibrary <title>\n```\n\nThe title argument defaults to `$:/UpgradeLibrary`.\n"
},
"$:/language/Help/notfound": {
"title": "$:/language/Help/notfound",
"text": "No such help item"
},
"$:/language/Help/output": {
"title": "$:/language/Help/output",
"description": "Set the base output directory for subsequent commands",
"text": "Sets the base output directory for subsequent commands. The default output directory is the `output` subdirectory of the edition directory.\n\n```\n--output <pathname>\n```\n\nIf the specified pathname is relative then it is resolved relative to the current working directory. For example `--output .` sets the output directory to the current working directory.\n\n"
},
"$:/language/Help/password": {
"title": "$:/language/Help/password",
"description": "Set a password for subsequent crypto operations",
"text": "Set a password for subsequent crypto operations\n\n```\n--password <password>\n```\n\n"
},
"$:/language/Help/rendertiddler": {
"title": "$:/language/Help/rendertiddler",
"description": "Render an individual tiddler as a specified ContentType",
"text": "Render an individual tiddler as a specified ContentType, defaults to `text/html` and save it to the specified filename:\n\n```\n--rendertiddler <title> <filename> [<type>]\n```\n\nBy default, the filename is resolved relative to the `output` subdirectory of the edition directory. The `--output` command can be used to direct output to a different directory.\n\nAny missing directories in the path to the filename are automatically created.\n"
},
"$:/language/Help/rendertiddlers": {
"title": "$:/language/Help/rendertiddlers",
"description": "Render tiddlers matching a filter to a specified ContentType",
"text": "Render a set of tiddlers matching a filter to separate files of a specified ContentType (defaults to `text/html`) and extension (defaults to `.html`).\n\n```\n--rendertiddlers <filter> <template> <pathname> [<type>] [<extension>]\n```\n\nFor example:\n\n```\n--rendertiddlers [!is[system]] $:/core/templates/static.tiddler.html ./static text/plain\n```\n\nBy default, the pathname is resolved relative to the `output` subdirectory of the edition directory. The `--output` command can be used to direct output to a different directory.\n\nAny files in the target directory are deleted. The target directory is recursively created if it is missing.\n"
},
"$:/language/Help/savetiddler": {
"title": "$:/language/Help/savetiddler",
"description": "Saves a raw tiddler to a file",
"text": "Saves an individual tiddler in its raw text or binary format to the specified filename. \n\n```\n--savetiddler <title> <filename>\n```\n\nBy default, the filename is resolved relative to the `output` subdirectory of the edition directory. The `--output` command can be used to direct output to a different directory.\n\nAny missing directories in the path to the filename are automatically created.\n"
},
"$:/language/Help/savetiddlers": {
"title": "$:/language/Help/savetiddlers",
"description": "Saves a group of raw tiddlers to a directory",
"text": "Saves a group of tiddlers in their raw text or binary format to the specified directory. \n\n```\n--savetiddlers <filter> <pathname>\n```\n\nBy default, the pathname is resolved relative to the `output` subdirectory of the edition directory. The `--output` command can be used to direct output to a different directory.\n\nAny missing directories in the pathname are automatically created.\n"
},
"$:/language/Help/server": {
"title": "$:/language/Help/server",
"description": "Provides an HTTP server interface to TiddlyWiki",
"text": "The server built in to TiddlyWiki5 is very simple. Although compatible with TiddlyWeb it doesn't support many of the features needed for robust Internet-facing usage.\n\nAt the root, it serves a rendering of a specified tiddler. Away from the root, it serves individual tiddlers encoded in JSON, and supports the basic HTTP operations for `GET`, `PUT` and `DELETE`.\n\n```\n--server <port> <roottiddler> <rendertype> <servetype> <username> <password> <host> <pathprefix>\n```\n\nThe parameters are:\n\n* ''port'' - port number to serve from (defaults to \"8080\")\n* ''roottiddler'' - the tiddler to serve at the root (defaults to \"$:/core/save/all\") \n* ''rendertype'' - the content type to which the root tiddler should be rendered (defaults to \"text/plain\")\n* ''servetype'' - the content type with which the root tiddler should be served (defaults to \"text/html\")\n* ''username'' - the default username for signing edits\n* ''password'' - optional password for basic authentication\n* ''host'' - optional hostname to serve from (defaults to \"127.0.0.1\" aka \"localhost\")\n* ''pathprefix'' - optional prefix for paths\n\nIf the password parameter is specified then the browser will prompt the user for the username and password. Note that the password is transmitted in plain text so this implementation isn't suitable for general use.\n\nFor example:\n\n```\n--server 8080 $:/core/save/all text/plain text/html MyUserName passw0rd\n```\n\nThe username and password can be specified as empty strings if you need to set the hostname or pathprefix and don't want to require a password:\n\n```\n--server 8080 $:/core/save/all text/plain text/html \"\" \"\" 192.168.0.245\n```\n\nTo run multiple TiddlyWiki servers at the same time you'll need to put each one on a different port.\n"
},
"$:/language/Help/setfield": {
"title": "$:/language/Help/setfield",
"description": "Prepares external tiddlers for use",
"text": "//Note that this command is experimental and may change or be replaced before being finalised//\n\nSets the specified field of a group of tiddlers to the result of wikifying a template tiddler with the `currentTiddler` variable set to the tiddler.\n\n```\n--setfield <filter> <fieldname> <templatetitle> <rendertype>\n```\n\nThe parameters are:\n\n* ''filter'' - filter identifying the tiddlers to be affected\n* ''fieldname'' - the field to modify (defaults to \"text\")\n* ''templatetitle'' - the tiddler to wikify into the specified field. If blank or missing then the specified field is deleted\n* ''type'' - the text type to render (defaults to \"text/plain\"; \"text/html\" can be used to include HTML tags)\n\n"
},
"$:/language/Help/unpackplugin": {
"title": "$:/language/Help/unpackplugin",
"description": "Unpack the payload tiddlers from a plugin",
"text": "Extract the payload tiddlers from a plugin, creating them as ordinary tiddlers:\n\n```\n--unpackplugin <title>\n```\n"
},
"$:/language/Help/verbose": {
"title": "$:/language/Help/verbose",
"description": "Triggers verbose output mode",
"text": "Triggers verbose output, useful for debugging \n\n```\n--verbose\n```\n"
},
"$:/language/Help/version": {
"title": "$:/language/Help/version",
"description": "Displays the version number of TiddlyWiki",
"text": "Displays the version number of TiddlyWiki.\n\n```\n--version\n```\n"
},
"$:/language/Import/Listing/Cancel/Caption": {
"title": "$:/language/Import/Listing/Cancel/Caption",
"text": "Cancel"
},
"$:/language/Import/Listing/Hint": {
"title": "$:/language/Import/Listing/Hint",
"text": "These tiddlers are ready to import:"
},
"$:/language/Import/Listing/Import/Caption": {
"title": "$:/language/Import/Listing/Import/Caption",
"text": "Import"
},
"$:/language/Import/Listing/Select/Caption": {
"title": "$:/language/Import/Listing/Select/Caption",
"text": "Select"
},
"$:/language/Import/Listing/Status/Caption": {
"title": "$:/language/Import/Listing/Status/Caption",
"text": "Status"
},
"$:/language/Import/Listing/Title/Caption": {
"title": "$:/language/Import/Listing/Title/Caption",
"text": "Title"
},
"$:/language/Import/Upgrader/Plugins/Suppressed/Incompatible": {
"title": "$:/language/Import/Upgrader/Plugins/Suppressed/Incompatible",
"text": "Blocked incompatible or obsolete plugin "
},
"$:/language/Import/Upgrader/Plugins/Suppressed/Version": {
"title": "$:/language/Import/Upgrader/Plugins/Suppressed/Version",
"text": "Blocked plugin (due to incoming <<incoming>> being older than existing <<existing>>)"
},
"$:/language/Import/Upgrader/Plugins/Upgraded": {
"title": "$:/language/Import/Upgrader/Plugins/Upgraded",
"text": "Upgraded plugin from <<incoming>> to <<upgraded>>"
},
"$:/language/Import/Upgrader/State/Suppressed": {
"title": "$:/language/Import/Upgrader/State/Suppressed",
"text": "Blocked temporary state tiddler"
},
"$:/language/Import/Upgrader/System/Suppressed": {
"title": "$:/language/Import/Upgrader/System/Suppressed",
"text": "Blocked system tiddler"
},
"$:/language/Import/Upgrader/ThemeTweaks/Created": {
"title": "$:/language/Import/Upgrader/ThemeTweaks/Created",
"text": "Migrated theme tweak from <$text text=<<from>>/>"
},
"$:/language/BinaryWarning/Prompt": {
"title": "$:/language/BinaryWarning/Prompt",
"text": "This tiddler contains binary data"
},
"$:/language/ClassicWarning/Hint": {
"title": "$:/language/ClassicWarning/Hint",
"text": "This tiddler is written in TiddlyWiki Classic wiki text format, which is not fully compatible with TiddlyWiki version 5. See http://tiddlywiki.com/static/Upgrading.html for more details. "
},
"$:/language/ClassicWarning/Upgrade/Caption": {
"title": "$:/language/ClassicWarning/Upgrade/Caption",
"text": "upgrade"
},
"$:/language/CloseAll/Button": {
"title": "$:/language/CloseAll/Button",
"text": "close all"
},
"$:/language/ConfirmCancelTiddler": {
"title": "$:/language/ConfirmCancelTiddler",
"text": "Do you wish to discard changes to the tiddler \"<$text text=<<title>>/>\"?"
},
"$:/language/ConfirmDeleteTiddler": {
"title": "$:/language/ConfirmDeleteTiddler",
"text": "Do you wish to delete the tiddler \"<$text text=<<title>>/>\"?"
},
"$:/language/ConfirmOverwriteTiddler": {
"title": "$:/language/ConfirmOverwriteTiddler",
"text": "Do you wish to overwrite the tiddler \"<$text text=<<title>>/>\"?"
},
"$:/language/ConfirmEditShadowTiddler": {
"title": "$:/language/ConfirmEditShadowTiddler",
"text": "You are about to edit a ShadowTiddler. Any changes will override the default system making future upgrades non-trivial. Are you sure you want to edit \"<$text text=<<title>>/>\"?"
},
"$:/language/DefaultNewTiddlerTitle": {
"title": "$:/language/DefaultNewTiddlerTitle",
"text": "New Tiddler"
},
"$:/language/DropMessage": {
"title": "$:/language/DropMessage",
"text": "Drop here (or click escape to cancel)"
},
"$:/language/Encryption/ConfirmClearPassword": {
"title": "$:/language/Encryption/ConfirmClearPassword",
"text": "Do you wish to clear the password? This will remove the encryption applied when saving this wiki"
},
"$:/language/Encryption/PromptSetPassword": {
"title": "$:/language/Encryption/PromptSetPassword",
"text": "Set a new password for this TiddlyWiki"
},
"$:/language/InvalidFieldName": {
"title": "$:/language/InvalidFieldName",
"text": "Illegal characters in field name \"<$text text=<<fieldName>>/>\". Fields can only contain lowercase letters, digits and the characters underscore (`_`), hyphen (`-`) and period (`.`)"
},
"$:/language/MissingTiddler/Hint": {
"title": "$:/language/MissingTiddler/Hint",
"text": "Missing tiddler \"<$text text=<<currentTiddler>>/>\" - click {{$:/core/images/edit-button}} to create"
},
"$:/language/RecentChanges/DateFormat": {
"title": "$:/language/RecentChanges/DateFormat",
"text": "DDth MMM YYYY"
},
"$:/language/SystemTiddler/Tooltip": {
"title": "$:/language/SystemTiddler/Tooltip",
"text": "This is a system tiddler"
},
"$:/language/TagManager/Colour/Heading": {
"title": "$:/language/TagManager/Colour/Heading",
"text": "Colour"
},
"$:/language/TagManager/Icon/Heading": {
"title": "$:/language/TagManager/Icon/Heading",
"text": "Icon"
},
"$:/language/TagManager/Info/Heading": {
"title": "$:/language/TagManager/Info/Heading",
"text": "Info"
},
"$:/language/TagManager/Tag/Heading": {
"title": "$:/language/TagManager/Tag/Heading",
"text": "Tag"
},
"$:/language/UnsavedChangesWarning": {
"title": "$:/language/UnsavedChangesWarning",
"text": "You have unsaved changes in TiddlyWiki"
},
"$:/language/Modals/Download": {
"title": "$:/language/Modals/Download",
"type": "text/vnd.tiddlywiki",
"subtitle": "Download changes",
"footer": "<$button message=\"tm-close-tiddler\">Close</$button>",
"help": "http://tiddlywiki.com/static/DownloadingChanges.html",
"text": "Your browser only supports manual saving.\n\nTo save your modified wiki, right click on the download link below and select \"Download file\" or \"Save file\", and then choose the folder and filename.\n\n//You can marginally speed things up by clicking the link with the control key (Windows) or the options/alt key (Mac OS X). You will not be prompted for the folder or filename, but your browser is likely to give it an unrecognisable name -- you may need to rename the file to include an `.html` extension before you can do anything useful with it.//\n\nOn smartphones that do not allow files to be downloaded you can instead bookmark the link, and then sync your bookmarks to a desktop computer from where the wiki can be saved normally.\n"
},
"$:/language/Modals/SaveInstructions": {
"title": "$:/language/Modals/SaveInstructions",
"type": "text/vnd.tiddlywiki",
"subtitle": "Save your work",
"footer": "<$button message=\"tm-close-tiddler\">Close</$button>",
"help": "http://tiddlywiki.com/static/SavingChanges.html",
"text": "Your changes to this wiki need to be saved as a ~TiddlyWiki HTML file.\n\n!!! Desktop browsers\n\n# Select ''Save As'' from the ''File'' menu\n# Choose a filename and location\n#* Some browsers also require you to explicitly specify the file saving format as ''Webpage, HTML only'' or similar\n# Close this tab\n\n!!! Smartphone browsers\n\n# Create a bookmark to this page\n#* If you've got iCloud or Google Sync set up then the bookmark will automatically sync to your desktop where you can open it and save it as above\n# Close this tab\n\n//If you open the bookmark again in Mobile Safari you will see this message again. If you want to go ahead and use the file, just click the ''close'' button below//\n"
},
"$:/config/NewJournal/Title": {
"title": "$:/config/NewJournal/Title",
"text": "DDth MMM YYYY"
},
"$:/config/NewJournal/Tags": {
"title": "$:/config/NewJournal/Tags",
"text": "Journal"
},
"$:/language/Notifications/Save/Done": {
"title": "$:/language/Notifications/Save/Done",
"text": "Saved wiki"
},
"$:/language/Notifications/Save/Starting": {
"title": "$:/language/Notifications/Save/Starting",
"text": "Starting to save wiki"
},
"$:/language/Search/DefaultResults/Caption": {
"title": "$:/language/Search/DefaultResults/Caption",
"text": "List"
},
"$:/language/Search/Filter/Caption": {
"title": "$:/language/Search/Filter/Caption",
"text": "Filter"
},
"$:/language/Search/Filter/Hint": {
"title": "$:/language/Search/Filter/Hint",
"text": "Search via a [[filter expression|http://tiddlywiki.com/static/Filters.html]]"
},
"$:/language/Search/Filter/Matches": {
"title": "$:/language/Search/Filter/Matches",
"text": "//<small><<resultCount>> matches</small>//"
},
"$:/language/Search/Matches": {
"title": "$:/language/Search/Matches",
"text": "//<small><<resultCount>> matches</small>//"
},
"$:/language/Search/Shadows/Caption": {
"title": "$:/language/Search/Shadows/Caption",
"text": "Shadows"
},
"$:/language/Search/Shadows/Hint": {
"title": "$:/language/Search/Shadows/Hint",
"text": "Search for shadow tiddlers"
},
"$:/language/Search/Shadows/Matches": {
"title": "$:/language/Search/Shadows/Matches",
"text": "//<small><<resultCount>> matches</small>//"
},
"$:/language/Search/Standard/Caption": {
"title": "$:/language/Search/Standard/Caption",
"text": "Standard"
},
"$:/language/Search/Standard/Hint": {
"title": "$:/language/Search/Standard/Hint",
"text": "Search for standard tiddlers"
},
"$:/language/Search/Standard/Matches": {
"title": "$:/language/Search/Standard/Matches",
"text": "//<small><<resultCount>> matches</small>//"
},
"$:/language/Search/System/Caption": {
"title": "$:/language/Search/System/Caption",
"text": "System"
},
"$:/language/Search/System/Hint": {
"title": "$:/language/Search/System/Hint",
"text": "Search for system tiddlers"
},
"$:/language/Search/System/Matches": {
"title": "$:/language/Search/System/Matches",
"text": "//<small><<resultCount>> matches</small>//"
},
"$:/language/SideBar/All/Caption": {
"title": "$:/language/SideBar/All/Caption",
"text": "All"
},
"$:/language/SideBar/Contents/Caption": {
"title": "$:/language/SideBar/Contents/Caption",
"text": "Contents"
},
"$:/language/SideBar/Drafts/Caption": {
"title": "$:/language/SideBar/Drafts/Caption",
"text": "Drafts"
},
"$:/language/SideBar/Missing/Caption": {
"title": "$:/language/SideBar/Missing/Caption",
"text": "Missing"
},
"$:/language/SideBar/More/Caption": {
"title": "$:/language/SideBar/More/Caption",
"text": "More"
},
"$:/language/SideBar/Open/Caption": {
"title": "$:/language/SideBar/Open/Caption",
"text": "Open"
},
"$:/language/SideBar/Orphans/Caption": {
"title": "$:/language/SideBar/Orphans/Caption",
"text": "Orphans"
},
"$:/language/SideBar/Recent/Caption": {
"title": "$:/language/SideBar/Recent/Caption",
"text": "Recent"
},
"$:/language/SideBar/Shadows/Caption": {
"title": "$:/language/SideBar/Shadows/Caption",
"text": "Shadows"
},
"$:/language/SideBar/System/Caption": {
"title": "$:/language/SideBar/System/Caption",
"text": "System"
},
"$:/language/SideBar/Tags/Caption": {
"title": "$:/language/SideBar/Tags/Caption",
"text": "Tags"
},
"$:/language/SideBar/Tags/Untagged/Caption": {
"title": "$:/language/SideBar/Tags/Untagged/Caption",
"text": "untagged"
},
"$:/language/SideBar/Tools/Caption": {
"title": "$:/language/SideBar/Tools/Caption",
"text": "Tools"
},
"$:/language/SideBar/Types/Caption": {
"title": "$:/language/SideBar/Types/Caption",
"text": "Types"
},
"$:/SiteSubtitle": {
"title": "$:/SiteSubtitle",
"text": "a non-linear personal web notebook"
},
"$:/SiteTitle": {
"title": "$:/SiteTitle",
"text": "My ~TiddlyWiki"
},
"$:/language/TiddlerInfo/Advanced/Caption": {
"title": "$:/language/TiddlerInfo/Advanced/Caption",
"text": "Advanced"
},
"$:/language/TiddlerInfo/Advanced/PluginInfo/Empty/Hint": {
"title": "$:/language/TiddlerInfo/Advanced/PluginInfo/Empty/Hint",
"text": "none"
},
"$:/language/TiddlerInfo/Advanced/PluginInfo/Heading": {
"title": "$:/language/TiddlerInfo/Advanced/PluginInfo/Heading",
"text": "Plugin Details"
},
"$:/language/TiddlerInfo/Advanced/PluginInfo/Hint": {
"title": "$:/language/TiddlerInfo/Advanced/PluginInfo/Hint",
"text": "This plugin contains the following shadow tiddlers:"
},
"$:/language/TiddlerInfo/Advanced/ShadowInfo/Heading": {
"title": "$:/language/TiddlerInfo/Advanced/ShadowInfo/Heading",
"text": "Shadow Status"
},
"$:/language/TiddlerInfo/Advanced/ShadowInfo/NotShadow/Hint": {
"title": "$:/language/TiddlerInfo/Advanced/ShadowInfo/NotShadow/Hint",
"text": "The tiddler <$link to=<<infoTiddler>>><$text text=<<infoTiddler>>/></$link> is not a shadow tiddler"
},
"$:/language/TiddlerInfo/Advanced/ShadowInfo/Shadow/Hint": {
"title": "$:/language/TiddlerInfo/Advanced/ShadowInfo/Shadow/Hint",
"text": "The tiddler <$link to=<<infoTiddler>>><$text text=<<infoTiddler>>/></$link> is a shadow tiddler"
},
"$:/language/TiddlerInfo/Advanced/ShadowInfo/Shadow/Source": {
"title": "$:/language/TiddlerInfo/Advanced/ShadowInfo/Shadow/Source",
"text": "It is defined in the plugin <$link to=<<pluginTiddler>>><$text text=<<pluginTiddler>>/></$link>"
},
"$:/language/TiddlerInfo/Advanced/ShadowInfo/OverriddenShadow/Hint": {
"title": "$:/language/TiddlerInfo/Advanced/ShadowInfo/OverriddenShadow/Hint",
"text": "It is overridden by an ordinary tiddler"
},
"$:/language/TiddlerInfo/Fields/Caption": {
"title": "$:/language/TiddlerInfo/Fields/Caption",
"text": "Fields"
},
"$:/language/TiddlerInfo/List/Caption": {
"title": "$:/language/TiddlerInfo/List/Caption",
"text": "List"
},
"$:/language/TiddlerInfo/List/Empty": {
"title": "$:/language/TiddlerInfo/List/Empty",
"text": "This tiddler does not have a list"
},
"$:/language/TiddlerInfo/Listed/Caption": {
"title": "$:/language/TiddlerInfo/Listed/Caption",
"text": "Listed"
},
"$:/language/TiddlerInfo/Listed/Empty": {
"title": "$:/language/TiddlerInfo/Listed/Empty",
"text": "This tiddler is not listed by any others"
},
"$:/language/TiddlerInfo/References/Caption": {
"title": "$:/language/TiddlerInfo/References/Caption",
"text": "References"
},
"$:/language/TiddlerInfo/References/Empty": {
"title": "$:/language/TiddlerInfo/References/Empty",
"text": "No tiddlers link to this one"
},
"$:/language/TiddlerInfo/Tagging/Caption": {
"title": "$:/language/TiddlerInfo/Tagging/Caption",
"text": "Tagging"
},
"$:/language/TiddlerInfo/Tagging/Empty": {
"title": "$:/language/TiddlerInfo/Tagging/Empty",
"text": "No tiddlers are tagged with this one"
},
"$:/language/TiddlerInfo/Tools/Caption": {
"title": "$:/language/TiddlerInfo/Tools/Caption",
"text": "Tools"
},
"$:/language/Docs/Types/application/javascript": {
"title": "$:/language/Docs/Types/application/javascript",
"description": "JavaScript code",
"name": "application/javascript",
"group": "Developer"
},
"$:/language/Docs/Types/application/json": {
"title": "$:/language/Docs/Types/application/json",
"description": "JSON data",
"name": "application/json",
"group": "Developer"
},
"$:/language/Docs/Types/application/x-tiddler-dictionary": {
"title": "$:/language/Docs/Types/application/x-tiddler-dictionary",
"description": "Data dictionary",
"name": "application/x-tiddler-dictionary",
"group": "Developer"
},
"$:/language/Docs/Types/image/gif": {
"title": "$:/language/Docs/Types/image/gif",
"description": "GIF image",
"name": "image/gif",
"group": "Image"
},
"$:/language/Docs/Types/image/jpeg": {
"title": "$:/language/Docs/Types/image/jpeg",
"description": "JPEG image",
"name": "image/jpeg",
"group": "Image"
},
"$:/language/Docs/Types/image/png": {
"title": "$:/language/Docs/Types/image/png",
"description": "PNG image",
"name": "image/png",
"group": "Image"
},
"$:/language/Docs/Types/image/svg+xml": {
"title": "$:/language/Docs/Types/image/svg+xml",
"description": "Structured Vector Graphics image",
"name": "image/svg+xml",
"group": "Image"
},
"$:/language/Docs/Types/image/x-icon": {
"title": "$:/language/Docs/Types/image/x-icon",
"description": "ICO format icon file",
"name": "image/x-icon",
"group": "Image"
},
"$:/language/Docs/Types/text/css": {
"title": "$:/language/Docs/Types/text/css",
"description": "Static stylesheet",
"name": "text/css",
"group": "Developer"
},
"$:/language/Docs/Types/text/html": {
"title": "$:/language/Docs/Types/text/html",
"description": "HTML markup",
"name": "text/html",
"group": "Text"
},
"$:/language/Docs/Types/text/plain": {
"title": "$:/language/Docs/Types/text/plain",
"description": "Plain text",
"name": "text/plain",
"group": "Text"
},
"$:/language/Docs/Types/text/vnd.tiddlywiki": {
"title": "$:/language/Docs/Types/text/vnd.tiddlywiki",
"description": "TiddlyWiki 5",
"name": "text/vnd.tiddlywiki",
"group": "Text"
},
"$:/language/Docs/Types/text/x-tiddlywiki": {
"title": "$:/language/Docs/Types/text/x-tiddlywiki",
"description": "TiddlyWiki Classic",
"name": "text/x-tiddlywiki",
"group": "Text"
},
"$:/languages/en-GB/icon": {
"title": "$:/languages/en-GB/icon",
"type": "image/svg+xml",
"text": "<svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"0 0 60 30\" width=\"1200\" height=\"600\">\n<clipPath id=\"t\">\n\t<path d=\"M30,15 h30 v15 z v15 h-30 z h-30 v-15 z v-15 h30 z\"/>\n</clipPath>\n<path d=\"M0,0 v30 h60 v-30 z\" fill=\"#00247d\"/>\n<path d=\"M0,0 L60,30 M60,0 L0,30\" stroke=\"#fff\" stroke-width=\"6\"/>\n<path d=\"M0,0 L60,30 M60,0 L0,30\" clip-path=\"url(#t)\" stroke=\"#cf142b\" stroke-width=\"4\"/>\n<path d=\"M30,0 v30 M0,15 h60\" stroke=\"#fff\" stroke-width=\"10\"/>\n<path d=\"M30,0 v30 M0,15 h60\" stroke=\"#cf142b\" stroke-width=\"6\"/>\n</svg>\n"
},
"$:/languages/en-GB": {
"title": "$:/languages/en-GB",
"name": "en-GB",
"description": "English (British)",
"author": "JeremyRuston",
"core-version": ">=5.0.0\"",
"text": "Stub pseudo-plugin for the default language"
},
"$:/core/modules/commander.js": {
"text": "/*\\\ntitle: $:/core/modules/commander.js\ntype: application/javascript\nmodule-type: global\n\nThe $tw.Commander class is a command interpreter\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nParse a sequence of commands\n\tcommandTokens: an array of command string tokens\n\twiki: reference to the wiki store object\n\tstreams: {output:, error:}, each of which has a write(string) method\n\tcallback: a callback invoked as callback(err) where err is null if there was no error\n*/\nvar Commander = function(commandTokens,callback,wiki,streams) {\n\tvar path = require(\"path\");\n\tthis.commandTokens = commandTokens;\n\tthis.nextToken = 0;\n\tthis.callback = callback;\n\tthis.wiki = wiki;\n\tthis.streams = streams;\n\tthis.outputPath = path.resolve($tw.boot.wikiPath,$tw.config.wikiOutputSubDir);\n};\n\n/*\nAdd a string of tokens to the command queue\n*/\nCommander.prototype.addCommandTokens = function(commandTokens) {\n\tvar params = commandTokens.slice(0);\n\tparams.unshift(0);\n\tparams.unshift(this.nextToken);\n\tArray.prototype.splice.apply(this.commandTokens,params);\n};\n\n/*\nExecute the sequence of commands and invoke a callback on completion\n*/\nCommander.prototype.execute = function() {\n\tthis.executeNextCommand();\n};\n\n/*\nExecute the next command in the sequence\n*/\nCommander.prototype.executeNextCommand = function() {\n\tvar self = this;\n\t// Invoke the callback if there are no more commands\n\tif(this.nextToken >= this.commandTokens.length) {\n\t\tthis.callback(null);\n\t} else {\n\t\t// Get and check the command token\n\t\tvar commandName = this.commandTokens[this.nextToken++];\n\t\tif(commandName.substr(0,2) !== \"--\") {\n\t\t\tthis.callback(\"Missing command: \" + commandName);\n\t\t} else {\n\t\t\tcommandName = commandName.substr(2); // Trim off the --\n\t\t\t// Accumulate the parameters to the command\n\t\t\tvar params = [];\n\t\t\twhile(this.nextToken < this.commandTokens.length && \n\t\t\t\tthis.commandTokens[this.nextToken].substr(0,2) !== \"--\") {\n\t\t\t\tparams.push(this.commandTokens[this.nextToken++]);\n\t\t\t}\n\t\t\t// Get the command info\n\t\t\tvar command = $tw.commands[commandName],\n\t\t\t\tc,err;\n\t\t\tif(!command) {\n\t\t\t\tthis.callback(\"Unknown command: \" + commandName);\n\t\t\t} else {\n\t\t\t\tif(this.verbose) {\n\t\t\t\t\tthis.streams.output.write(\"Executing command: \" + commandName + \" \" + params.join(\" \") + \"\\n\");\n\t\t\t\t}\n\t\t\t\tif(command.info.synchronous) {\n\t\t\t\t\t// Synchronous command\n\t\t\t\t\tc = new command.Command(params,this);\n\t\t\t\t\terr = c.execute();\n\t\t\t\t\tif(err) {\n\t\t\t\t\t\tthis.callback(err);\n\t\t\t\t\t} else {\n\t\t\t\t\t\tthis.executeNextCommand();\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\t// Asynchronous command\n\t\t\t\t\tc = new command.Command(params,this,function(err) {\n\t\t\t\t\t\tif(err) {\n\t\t\t\t\t\t\tself.callback(err);\n\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\tself.executeNextCommand();\n\t\t\t\t\t\t}\n\t\t\t\t\t});\n\t\t\t\t\terr = c.execute();\n\t\t\t\t\tif(err) {\n\t\t\t\t\t\tthis.callback(err);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n};\n\nCommander.initCommands = function(moduleType) {\n\tmoduleType = moduleType || \"command\";\n\t$tw.commands = {};\n\t$tw.modules.forEachModuleOfType(moduleType,function(title,module) {\n\t\tvar c = $tw.commands[module.info.name] = {};\n\t\t// Add the methods defined by the module\n\t\tfor(var f in module) {\n\t\t\tif($tw.utils.hop(module,f)) {\n\t\t\t\tc[f] = module[f];\n\t\t\t}\n\t\t}\n\t});\n};\n\nexports.Commander = Commander;\n\n})();\n",
"title": "$:/core/modules/commander.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/commands/build.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/build.js\ntype: application/javascript\nmodule-type: command\n\nCommand to build a build target\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"build\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\t// Get the build targets defined in the wiki\n\tvar buildTargets = $tw.boot.wikiInfo.build;\n\tif(!buildTargets) {\n\t\treturn \"No build targets defined\";\n\t}\n\t// Loop through each of the specified targets\n\tvar targets;\n\tif(this.params.length > 0) {\n\t\ttargets = this.params;\n\t} else {\n\t\ttargets = Object.keys(buildTargets);\n\t}\n\tfor(var targetIndex=0; targetIndex<targets.length; targetIndex++) {\n\t\tvar target = targets[targetIndex],\n\t\t\tcommands = buildTargets[target];\n\t\tif(!commands) {\n\t\t\treturn \"Build target '\" + target + \"' not found\";\n\t\t}\n\t\t// Add the commands to the queue\n\t\tthis.commander.addCommandTokens(commands);\n\t}\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/build.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/clearpassword.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/clearpassword.js\ntype: application/javascript\nmodule-type: command\n\nClear password for crypto operations\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"clearpassword\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\t$tw.crypto.setPassword(null);\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/clearpassword.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/editions.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/editions.js\ntype: application/javascript\nmodule-type: command\n\nCommand to list the available editions\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"editions\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\tvar fs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\tself = this;\n\t// Enumerate the edition paths\n\tvar editionPaths = $tw.getLibraryItemSearchPaths($tw.config.editionsPath,$tw.config.editionsEnvVar),\n\t\teditions = {};\n\tfor(var editionIndex=0; editionIndex<editionPaths.length; editionIndex++) {\n\t\tvar editionPath = editionPaths[editionIndex];\n\t\t// Enumerate the folders\n\t\tvar entries = fs.readdirSync(editionPath);\n\t\tfor(var entryIndex=0; entryIndex<entries.length; entryIndex++) {\n\t\t\tvar entry = entries[entryIndex];\n\t\t\t// Check if directories have a valid tiddlywiki.info\n\t\t\tif(!editions[entry] && $tw.utils.isDirectory(path.resolve(editionPath,entry))) {\n\t\t\t\tvar info;\n\t\t\t\ttry {\n\t\t\t\t\tinfo = JSON.parse(fs.readFileSync(path.resolve(editionPath,entry,\"tiddlywiki.info\"),\"utf8\"));\n\t\t\t\t} catch(ex) {\n\t\t\t\t}\n\t\t\t\tif(info) {\n\t\t\t\t\teditions[entry] = info.description || \"\";\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\t// Output the list\n\tthis.commander.streams.output.write(\"Available editions:\\n\\n\");\n\t$tw.utils.each(editions,function(description,name) {\n\t\tself.commander.streams.output.write(\" \" + name + \": \" + description + \"\\n\");\n\t});\n\tthis.commander.streams.output.write(\"\\n\");\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/editions.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/help.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/help.js\ntype: application/javascript\nmodule-type: command\n\nHelp command\n\n\\*/\n(function(){\n\n/*jshint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"help\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\tvar subhelp = this.params[0] || \"default\",\n\t\thelpBase = \"$:/language/Help/\",\n\t\ttext;\n\tif(!this.commander.wiki.getTiddler(helpBase + subhelp)) {\n\t\tsubhelp = \"notfound\";\n\t}\n\t// Wikify the help as formatted text (ie block elements generate newlines)\n\ttext = this.commander.wiki.renderTiddler(\"text/plain-formatted\",helpBase + subhelp);\n\t// Remove any leading linebreaks\n\ttext = text.replace(/^(\\r?\\n)*/g,\"\");\n\tthis.commander.streams.output.write(text);\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/help.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/init.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/init.js\ntype: application/javascript\nmodule-type: command\n\nCommand to initialise an empty wiki folder\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"init\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\tvar fs = require(\"fs\"),\n\t\tpath = require(\"path\");\n\t// Check that we don't already have a valid wiki folder\n\tif($tw.boot.wikiTiddlersPath || ($tw.utils.isDirectory($tw.boot.wikiPath) && !$tw.utils.isDirectoryEmpty($tw.boot.wikiPath))) {\n\t\treturn \"Wiki folder is not empty\";\n\t}\n\t// Loop through each of the specified editions\n\tvar editions = this.params.length > 0 ? this.params : [\"empty\"];\n\tfor(var editionIndex=0; editionIndex<editions.length; editionIndex++) {\n\t\tvar editionName = editions[editionIndex];\n\t\t// Check the edition exists\n\t\tvar editionPath = $tw.findLibraryItem(editionName,$tw.getLibraryItemSearchPaths($tw.config.editionsPath,$tw.config.editionsEnvVar));\n\t\tif(!$tw.utils.isDirectory(editionPath)) {\n\t\t\treturn \"Edition '\" + editionName + \"' not found\";\n\t\t}\n\t\t// Copy the edition content\n\t\tvar err = $tw.utils.copyDirectory(editionPath,$tw.boot.wikiPath);\n\t\tif(!err) {\n\t\t\tthis.commander.streams.output.write(\"Copied edition '\" + editionName + \"' to \" + $tw.boot.wikiPath + \"\\n\");\n\t\t} else {\n\t\t\treturn err;\n\t\t}\n\t}\n\t// Tweak the tiddlywiki.info to remove any included wikis\n\tvar packagePath = $tw.boot.wikiPath + \"/tiddlywiki.info\",\n\t\tpackageJson = JSON.parse(fs.readFileSync(packagePath));\n\tdelete packageJson.includeWikis;\n\tfs.writeFileSync(packagePath,JSON.stringify(packageJson,null,$tw.config.preferences.jsonSpaces));\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/init.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/load.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/load.js\ntype: application/javascript\nmodule-type: command\n\nCommand to load tiddlers from a file\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"load\",\n\tsynchronous: false\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tvar self = this,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\");\n\tif(this.params.length < 1) {\n\t\treturn \"Missing filename\";\n\t}\n\tvar ext = path.extname(self.params[0]);\n\tfs.readFile(this.params[0],$tw.utils.getTypeEncoding(ext),function(err,data) {\n\t\tif (err) {\n\t\t\tself.callback(err);\n\t\t} else {\n\t\t\tvar fields = {title: self.params[0]},\n\t\t\t\ttype = path.extname(self.params[0]);\n\t\t\tvar tiddlers = self.commander.wiki.deserializeTiddlers(type,data,fields);\n\t\t\tif(!tiddlers) {\n\t\t\t\tself.callback(\"No tiddlers found in file \\\"\" + self.params[0] + \"\\\"\");\n\t\t\t} else {\n\t\t\t\tfor(var t=0; t<tiddlers.length; t++) {\n\t\t\t\t\tself.commander.wiki.importTiddler(new $tw.Tiddler(tiddlers[t]));\n\t\t\t\t}\n\t\t\t\tself.callback(null);\t\n\t\t\t}\n\t\t}\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/load.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/makelibrary.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/makelibrary.js\ntype: application/javascript\nmodule-type: command\n\nCommand to pack all of the plugins in the library into a plugin tiddler of type \"library\"\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"makelibrary\",\n\tsynchronous: true\n};\n\nvar UPGRADE_LIBRARY_TITLE = \"$:/UpgradeLibrary\";\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tvar wiki = this.commander.wiki,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\tupgradeLibraryTitle = this.params[0] || UPGRADE_LIBRARY_TITLE,\n\t\ttiddlers = {};\n\t// Collect up the library plugins\n\tvar collectPlugins = function(folder) {\n\t\t\tvar pluginFolders = fs.readdirSync(folder);\n\t\t\tfor(var p=0; p<pluginFolders.length; p++) {\n\t\t\t\tif(!$tw.boot.excludeRegExp.test(pluginFolders[p])) {\n\t\t\t\t\tpluginFields = $tw.loadPluginFolder(path.resolve(folder,\"./\" + pluginFolders[p]));\n\t\t\t\t\tif(pluginFields && pluginFields.title) {\n\t\t\t\t\t\ttiddlers[pluginFields.title] = pluginFields;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t},\n\t\tcollectPublisherPlugins = function(folder) {\n\t\t\tvar publisherFolders = fs.readdirSync(folder);\n\t\t\tfor(var t=0; t<publisherFolders.length; t++) {\n\t\t\t\tif(!$tw.boot.excludeRegExp.test(publisherFolders[t])) {\n\t\t\t\t\tcollectPlugins(path.resolve(folder,\"./\" + publisherFolders[t]));\n\t\t\t\t}\n\t\t\t}\n\t\t};\n\tcollectPublisherPlugins(path.resolve($tw.boot.corePath,$tw.config.pluginsPath));\n\tcollectPublisherPlugins(path.resolve($tw.boot.corePath,$tw.config.themesPath));\n\tcollectPlugins(path.resolve($tw.boot.corePath,$tw.config.languagesPath));\n\t// Save the upgrade library tiddler\n\tvar pluginFields = {\n\t\ttitle: upgradeLibraryTitle,\n\t\ttype: \"application/json\",\n\t\t\"plugin-type\": \"library\",\n\t\t\"text\": JSON.stringify({tiddlers: tiddlers},null,$tw.config.preferences.jsonSpaces)\n\t};\n\twiki.addTiddler(new $tw.Tiddler(pluginFields));\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/makelibrary.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/output.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/output.js\ntype: application/javascript\nmodule-type: command\n\nCommand to set the default output location (defaults to current working directory)\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"output\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tvar fs = require(\"fs\"),\n\t\tpath = require(\"path\");\n\tif(this.params.length < 1) {\n\t\treturn \"Missing output path\";\n\t}\n\tthis.commander.outputPath = path.resolve(process.cwd(),this.params[0]);\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/output.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/password.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/password.js\ntype: application/javascript\nmodule-type: command\n\nSave password for crypto operations\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"password\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 1) {\n\t\treturn \"Missing password\";\n\t}\n\t$tw.crypto.setPassword(this.params[0]);\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/password.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/rendertiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/rendertiddler.js\ntype: application/javascript\nmodule-type: command\n\nCommand to render a tiddler and save it to a file\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"rendertiddler\",\n\tsynchronous: false\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 2) {\n\t\treturn \"Missing filename\";\n\t}\n\tvar self = this,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\ttitle = this.params[0],\n\t\tfilename = path.resolve(this.commander.outputPath,this.params[1]),\n\t\ttype = this.params[2] || \"text/html\";\n\t$tw.utils.createFileDirectories(filename);\n\tfs.writeFile(filename,this.commander.wiki.renderTiddler(type,title),\"utf8\",function(err) {\n\t\tself.callback(err);\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/rendertiddler.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/rendertiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/rendertiddlers.js\ntype: application/javascript\nmodule-type: command\n\nCommand to render several tiddlers to a folder of files\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nexports.info = {\n\tname: \"rendertiddlers\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 2) {\n\t\treturn \"Missing filename\";\n\t}\n\tvar self = this,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\twiki = this.commander.wiki,\n\t\tfilter = this.params[0],\n\t\ttemplate = this.params[1],\n\t\tpathname = path.resolve(this.commander.outputPath,this.params[2]),\n\t\ttype = this.params[3] || \"text/html\",\n\t\textension = this.params[4] || \".html\",\n\t\ttiddlers = wiki.filterTiddlers(filter);\n\t$tw.utils.deleteDirectory(pathname);\n\t$tw.utils.createDirectory(pathname);\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar parser = wiki.parseTiddler(template),\n\t\t\twidgetNode = wiki.makeWidget(parser,{variables: {currentTiddler: title}});\n\t\tvar container = $tw.fakeDocument.createElement(\"div\");\n\t\twidgetNode.render(container,null);\n\t\tvar text = type === \"text/html\" ? container.innerHTML : container.textContent;\n\t\tfs.writeFileSync(path.resolve(pathname,encodeURIComponent(title) + extension),text,\"utf8\");\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/rendertiddlers.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/savetiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/savetiddler.js\ntype: application/javascript\nmodule-type: command\n\nCommand to save the content of a tiddler to a file\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"savetiddler\",\n\tsynchronous: false\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 2) {\n\t\treturn \"Missing filename\";\n\t}\n\tvar self = this,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\ttitle = this.params[0],\n\t\tfilename = path.resolve(this.commander.outputPath,this.params[1]),\n\t\ttiddler = this.commander.wiki.getTiddler(title),\n\t\ttype = tiddler.fields.type || \"text/vnd.tiddlywiki\",\n\t\tcontentTypeInfo = $tw.config.contentTypeInfo[type] || {encoding: \"utf8\"};\n\t$tw.utils.createFileDirectories(filename);\n\tfs.writeFile(filename,tiddler.fields.text,contentTypeInfo.encoding,function(err) {\n\t\tself.callback(err);\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/savetiddler.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/savetiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/savetiddlers.js\ntype: application/javascript\nmodule-type: command\n\nCommand to save several tiddlers to a folder of files\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nexports.info = {\n\tname: \"savetiddlers\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 1) {\n\t\treturn \"Missing filename\";\n\t}\n\tvar self = this,\n\t\tfs = require(\"fs\"),\n\t\tpath = require(\"path\"),\n\t\twiki = this.commander.wiki,\n\t\tfilter = this.params[0],\n\t\tpathname = path.resolve(this.commander.outputPath,this.params[1]),\n\t\ttiddlers = wiki.filterTiddlers(filter);\n\t$tw.utils.deleteDirectory(pathname);\n\t$tw.utils.createDirectory(pathname);\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar tiddler = self.commander.wiki.getTiddler(title),\n\t\t\ttype = tiddler.fields.type || \"text/vnd.tiddlywiki\",\n\t\t\tcontentTypeInfo = $tw.config.contentTypeInfo[type] || {encoding: \"utf8\"},\n\t\t\tfilename = path.resolve(pathname,encodeURIComponent(title));\n\t\tfs.writeFileSync(filename,tiddler.fields.text,contentTypeInfo.encoding);\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/savetiddlers.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/server.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/server.js\ntype: application/javascript\nmodule-type: command\n\nServe tiddlers over http\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nif(!$tw.browser) {\n\tvar util = require(\"util\"),\n\t\tfs = require(\"fs\"),\n\t\turl = require(\"url\"),\n\t\tpath = require(\"path\"),\n\t\thttp = require(\"http\");\n}\n\nexports.info = {\n\tname: \"server\",\n\tsynchronous: true\n};\n\n/*\nA simple HTTP server with regexp-based routes\n*/\nfunction SimpleServer(options) {\n\tthis.routes = options.routes || [];\n\tthis.wiki = options.wiki;\n\tthis.variables = options.variables || {};\n}\n\nSimpleServer.prototype.set = function(obj) {\n\tvar self = this;\n\t$tw.utils.each(obj,function(value,name) {\n\t\tself.variables[name] = value;\n\t});\n};\n\nSimpleServer.prototype.get = function(name) {\n\treturn this.variables[name];\n};\n\nSimpleServer.prototype.addRoute = function(route) {\n\tthis.routes.push(route);\n};\n\nSimpleServer.prototype.findMatchingRoute = function(request,state) {\n\tvar pathprefix = this.get(\"pathprefix\") || \"\";\n\tfor(var t=0; t<this.routes.length; t++) {\n\t\tvar potentialRoute = this.routes[t],\n\t\t\tpathRegExp = potentialRoute.path,\n\t\t\tpathname = state.urlInfo.pathname,\n\t\t\tmatch;\n\t\tif(pathprefix) {\n\t\t\tif(pathname.substr(0,pathprefix.length) === pathprefix) {\n\t\t\t\tpathname = pathname.substr(pathprefix.length);\n\t\t\t\tmatch = potentialRoute.path.exec(pathname);\n\t\t\t} else {\n\t\t\t\tmatch = false;\n\t\t\t}\n\t\t} else {\n\t\t\tmatch = potentialRoute.path.exec(pathname);\n\t\t}\n\t\tif(match && request.method === potentialRoute.method) {\n\t\t\tstate.params = [];\n\t\t\tfor(var p=1; p<match.length; p++) {\n\t\t\t\tstate.params.push(match[p]);\n\t\t\t}\n\t\t\treturn potentialRoute;\n\t\t}\n\t}\n\treturn null;\n};\n\nSimpleServer.prototype.checkCredentials = function(request,incomingUsername,incomingPassword) {\n\tvar header = request.headers.authorization || \"\",\n\t\ttoken = header.split(/\\s+/).pop() || \"\",\n\t\tauth = $tw.utils.base64Decode(token),\n\t\tparts = auth.split(/:/),\n\t\tusername = parts[0],\n\t\tpassword = parts[1];\n\tif(incomingUsername === username && incomingPassword === password) {\n\t\treturn \"ALLOWED\";\n\t} else {\n\t\treturn \"DENIED\";\n\t}\n};\n\nSimpleServer.prototype.listen = function(port,host) {\n\tvar self = this;\n\thttp.createServer(function(request,response) {\n\t\t// Compose the state object\n\t\tvar state = {};\n\t\tstate.wiki = self.wiki;\n\t\tstate.server = self;\n\t\tstate.urlInfo = url.parse(request.url);\n\t\t// Find the route that matches this path\n\t\tvar route = self.findMatchingRoute(request,state);\n\t\t// Check for the username and password if we've got one\n\t\tvar username = self.get(\"username\"),\n\t\t\tpassword = self.get(\"password\");\n\t\tif(username && password) {\n\t\t\t// Check they match\n\t\t\tif(self.checkCredentials(request,username,password) !== \"ALLOWED\") {\n\t\t\t\tvar servername = state.wiki.getTiddlerText(\"$:/SiteTitle\") || \"TiddlyWiki5\";\n\t\t\t\tresponse.writeHead(401,\"Authentication required\",{\n\t\t\t\t\t\"WWW-Authenticate\": 'Basic realm=\"Please provide your username and password to login to ' + servername + '\"'\n\t\t\t\t});\n\t\t\t\tresponse.end();\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t\t// Return a 404 if we didn't find a route\n\t\tif(!route) {\n\t\t\tresponse.writeHead(404);\n\t\t\tresponse.end();\n\t\t\treturn;\n\t\t}\n\t\t// Set the encoding for the incoming request\n\t\t// TODO: Presumably this would need tweaking if we supported PUTting binary tiddlers\n\t\trequest.setEncoding(\"utf8\");\n\t\t// Dispatch the appropriate method\n\t\tswitch(request.method) {\n\t\t\tcase \"GET\": // Intentional fall-through\n\t\t\tcase \"DELETE\":\n\t\t\t\troute.handler(request,response,state);\n\t\t\t\tbreak;\n\t\t\tcase \"PUT\":\n\t\t\t\tvar data = \"\";\n\t\t\t\trequest.on(\"data\",function(chunk) {\n\t\t\t\t\tdata += chunk.toString();\n\t\t\t\t});\n\t\t\t\trequest.on(\"end\",function() {\n\t\t\t\t\tstate.data = data;\n\t\t\t\t\troute.handler(request,response,state);\n\t\t\t\t});\n\t\t\t\tbreak;\n\t\t}\n\t}).listen(port,host);\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n\t// Set up server\n\tthis.server = new SimpleServer({\n\t\twiki: this.commander.wiki\n\t});\n\t// Add route handlers\n\tthis.server.addRoute({\n\t\tmethod: \"PUT\",\n\t\tpath: /^\\/recipes\\/default\\/tiddlers\\/(.+)$/,\n\t\thandler: function(request,response,state) {\n\t\t\tvar title = decodeURIComponent(state.params[0]),\n\t\t\t\tfields = JSON.parse(state.data);\n\t\t\t// Pull up any subfields in the `fields` object\n\t\t\tif(fields.fields) {\n\t\t\t\t$tw.utils.each(fields.fields,function(field,name) {\n\t\t\t\t\tfields[name] = field;\n\t\t\t\t});\n\t\t\t\tdelete fields.fields;\n\t\t\t}\n\t\t\t// Remove any revision field\n\t\t\tif(fields.revision) {\n\t\t\t\tdelete fields.revision;\n\t\t\t}\n\t\t\tstate.wiki.addTiddler(new $tw.Tiddler(state.wiki.getCreationFields(),fields,{title: title}));\n\t\t\tvar changeCount = state.wiki.getChangeCount(title).toString();\n\t\t\tresponse.writeHead(204, \"OK\",{\n\t\t\t\tEtag: \"\\\"default/\" + encodeURIComponent(title) + \"/\" + changeCount + \":\\\"\",\n\t\t\t\t\"Content-Type\": \"text/plain\"\n\t\t\t});\n\t\t\tresponse.end();\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"DELETE\",\n\t\tpath: /^\\/bags\\/default\\/tiddlers\\/(.+)$/,\n\t\thandler: function(request,response,state) {\n\t\t\tvar title = decodeURIComponent(state.params[0]);\n\t\t\tstate.wiki.deleteTiddler(title);\n\t\t\tresponse.writeHead(204, \"OK\", {\n\t\t\t\t\"Content-Type\": \"text/plain\"\n\t\t\t});\n\t\t\tresponse.end();\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"GET\",\n\t\tpath: /^\\/$/,\n\t\thandler: function(request,response,state) {\n\t\t\tresponse.writeHead(200, {\"Content-Type\": state.server.get(\"serveType\")});\n\t\t\tvar text = state.wiki.renderTiddler(state.server.get(\"renderType\"),state.server.get(\"rootTiddler\"));\n\t\t\tresponse.end(text,\"utf8\");\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"GET\",\n\t\tpath: /^\\/status$/,\n\t\thandler: function(request,response,state) {\n\t\t\tresponse.writeHead(200, {\"Content-Type\": \"application/json\"});\n\t\t\tvar text = JSON.stringify({\n\t\t\t\tusername: state.server.get(\"username\"),\n\t\t\t\tspace: {\n\t\t\t\t\trecipe: \"default\"\n\t\t\t\t},\n\t\t\t\ttiddlywiki_version: $tw.version\n\t\t\t});\n\t\t\tresponse.end(text,\"utf8\");\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"GET\",\n\t\tpath: /^\\/favicon.ico$/,\n\t\thandler: function(request,response,state) {\n\t\t\tresponse.writeHead(200, {\"Content-Type\": \"image/x-icon\"});\n\t\t\tvar buffer = state.wiki.getTiddlerText(\"$:/favicon.ico\",\"\");\n\t\t\tresponse.end(buffer,\"base64\");\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"GET\",\n\t\tpath: /^\\/recipes\\/default\\/tiddlers.json$/,\n\t\thandler: function(request,response,state) {\n\t\t\tresponse.writeHead(200, {\"Content-Type\": \"application/json\"});\n\t\t\tvar tiddlers = [];\n\t\t\tstate.wiki.forEachTiddler({sortField: \"title\"},function(title,tiddler) {\n\t\t\t\tvar tiddlerFields = {};\n\t\t\t\t$tw.utils.each(tiddler.fields,function(field,name) {\n\t\t\t\t\tif(name !== \"text\") {\n\t\t\t\t\t\ttiddlerFields[name] = tiddler.getFieldString(name);\n\t\t\t\t\t}\n\t\t\t\t});\n\t\t\t\ttiddlerFields.revision = state.wiki.getChangeCount(title);\n\t\t\t\ttiddlerFields.type = tiddlerFields.type || \"text/vnd.tiddlywiki\";\n\t\t\t\ttiddlers.push(tiddlerFields);\n\t\t\t});\n\t\t\tvar text = JSON.stringify(tiddlers);\n\t\t\tresponse.end(text,\"utf8\");\n\t\t}\n\t});\n\tthis.server.addRoute({\n\t\tmethod: \"GET\",\n\t\tpath: /^\\/recipes\\/default\\/tiddlers\\/(.+)$/,\n\t\thandler: function(request,response,state) {\n\t\t\tvar title = decodeURIComponent(state.params[0]),\n\t\t\t\ttiddler = state.wiki.getTiddler(title),\n\t\t\t\ttiddlerFields = {},\n\t\t\t\tknownFields = [\n\t\t\t\t\t\"bag\", \"created\", \"creator\", \"modified\", \"modifier\", \"permissions\", \"recipe\", \"revision\", \"tags\", \"text\", \"title\", \"type\", \"uri\"\n\t\t\t\t];\n\t\t\tif(tiddler) {\n\t\t\t\t$tw.utils.each(tiddler.fields,function(field,name) {\n\t\t\t\t\tvar value = tiddler.getFieldString(name);\n\t\t\t\t\tif(knownFields.indexOf(name) !== -1) {\n\t\t\t\t\t\ttiddlerFields[name] = value;\n\t\t\t\t\t} else {\n\t\t\t\t\t\ttiddlerFields.fields = tiddlerFields.fields || {};\n\t\t\t\t\t\ttiddlerFields.fields[name] = value;\n\t\t\t\t\t}\n\t\t\t\t});\n\t\t\t\ttiddlerFields.revision = state.wiki.getChangeCount(title);\n\t\t\t\ttiddlerFields.type = tiddlerFields.type || \"text/vnd.tiddlywiki\";\n\t\t\t\tresponse.writeHead(200, {\"Content-Type\": \"application/json\"});\n\t\t\t\tresponse.end(JSON.stringify(tiddlerFields),\"utf8\");\n\t\t\t} else {\n\t\t\t\tresponse.writeHead(404);\n\t\t\t\tresponse.end();\n\t\t\t}\n\t\t}\n\t});\n};\n\nCommand.prototype.execute = function() {\n\tif(!$tw.boot.wikiTiddlersPath) {\n\t\t$tw.utils.warning(\"Warning: Wiki folder '\" + $tw.boot.wikiPath + \"' does not exist or is missing a tiddlywiki.info file\");\n\t}\n\tvar port = this.params[0] || \"8080\",\n\t\trootTiddler = this.params[1] || \"$:/core/save/all\",\n\t\trenderType = this.params[2] || \"text/plain\",\n\t\tserveType = this.params[3] || \"text/html\",\n\t\tusername = this.params[4],\n\t\tpassword = this.params[5],\n\t\thost = this.params[6] || \"127.0.0.1\",\n\t\tpathprefix = this.params[7];\n\tthis.server.set({\n\t\trootTiddler: rootTiddler,\n\t\trenderType: renderType,\n\t\tserveType: serveType,\n\t\tusername: username,\n\t\tpassword: password,\n\t\tpathprefix: pathprefix\n\t});\n\tthis.server.listen(port,host);\n\tconsole.log(\"Serving on \" + host + \":\" + port);\n\tconsole.log(\"(press ctrl-C to exit)\");\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/server.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/setfield.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/setfield.js\ntype: application/javascript\nmodule-type: command\n\nCommand to modify selected tiddlers to set a field to the text of a template tiddler that has been wikified with the selected tiddler as the current tiddler.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nexports.info = {\n\tname: \"setfield\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 4) {\n\t\treturn \"Missing parameters\";\n\t}\n\tvar self = this,\n\t\twiki = this.commander.wiki,\n\t\tfilter = this.params[0],\n\t\tfieldname = this.params[1] || \"text\",\n\t\ttemplatetitle = this.params[2],\n\t\trendertype = this.params[3] || \"text/plain\",\n\t\ttiddlers = wiki.filterTiddlers(filter);\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar parser = wiki.parseTiddler(templatetitle),\n\t\t\tnewFields = {},\n\t\t\ttiddler = wiki.getTiddler(title);\n\t\tif(parser) {\n\t\t\tvar widgetNode = wiki.makeWidget(parser,{variables: {currentTiddler: title}});\n\t\t\tvar container = $tw.fakeDocument.createElement(\"div\");\n\t\t\twidgetNode.render(container,null);\n\t\t\tnewFields[fieldname] = rendertype === \"text/html\" ? container.innerHTML : container.textContent;\n\t\t} else {\n\t\t\tnewFields[fieldname] = undefined;\n\t\t}\n\t\twiki.addTiddler(new $tw.Tiddler(tiddler,newFields));\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/setfield.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/unpackplugin.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/unpackplugin.js\ntype: application/javascript\nmodule-type: command\n\nCommand to extract the shadow tiddlers from within a plugin\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"unpackplugin\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander,callback) {\n\tthis.params = params;\n\tthis.commander = commander;\n\tthis.callback = callback;\n};\n\nCommand.prototype.execute = function() {\n\tif(this.params.length < 1) {\n\t\treturn \"Missing plugin name\";\n\t}\n\tvar self = this,\n\t\ttitle = this.params[0],\n\t\tpluginData = this.commander.wiki.getTiddlerData(title);\n\tif(!pluginData) {\n\t\treturn \"Plugin '\" + title + \"' not found\";\n\t}\n\t$tw.utils.each(pluginData.tiddlers,function(tiddler) {\n\t\tself.commander.wiki.addTiddler(new $tw.Tiddler(tiddler));\n\t});\n\treturn null;\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/unpackplugin.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/verbose.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/verbose.js\ntype: application/javascript\nmodule-type: command\n\nVerbose command\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"verbose\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\tthis.commander.verbose = true;\n\t// Output the boot message log\n\tthis.commander.streams.output.write(\"Boot log:\\n \" + $tw.boot.logMessages.join(\"\\n \") + \"\\n\");\n\treturn null; // No error\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/verbose.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/commands/version.js": {
"text": "/*\\\ntitle: $:/core/modules/commands/version.js\ntype: application/javascript\nmodule-type: command\n\nVersion command\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.info = {\n\tname: \"version\",\n\tsynchronous: true\n};\n\nvar Command = function(params,commander) {\n\tthis.params = params;\n\tthis.commander = commander;\n};\n\nCommand.prototype.execute = function() {\n\tthis.commander.streams.output.write($tw.version + \"\\n\");\n\treturn null; // No error\n};\n\nexports.Command = Command;\n\n})();\n",
"title": "$:/core/modules/commands/version.js",
"type": "application/javascript",
"module-type": "command"
},
"$:/core/modules/config.js": {
"text": "/*\\\ntitle: $:/core/modules/config.js\ntype: application/javascript\nmodule-type: config\n\nCore configuration constants\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.preferences = {};\n\nexports.preferences.notificationDuration = 3 * 1000;\nexports.preferences.jsonSpaces = 4;\n\nexports.textPrimitives = {\n\tupperLetter: \"[A-Z\\u00c0-\\u00d6\\u00d8-\\u00de\\u0150\\u0170]\",\n\tlowerLetter: \"[a-z\\u00df-\\u00f6\\u00f8-\\u00ff\\u0151\\u0171]\",\n\tanyLetter: \"[A-Za-z0-9\\u00c0-\\u00d6\\u00d8-\\u00de\\u00df-\\u00f6\\u00f8-\\u00ff\\u0150\\u0170\\u0151\\u0171]\",\n\tblockPrefixLetters:\t\"[A-Za-z0-9-_\\u00c0-\\u00d6\\u00d8-\\u00de\\u00df-\\u00f6\\u00f8-\\u00ff\\u0150\\u0170\\u0151\\u0171]\"\n};\n\nexports.textPrimitives.unWikiLink = \"~\";\nexports.textPrimitives.wikiLink = exports.textPrimitives.upperLetter + \"+\" +\n\texports.textPrimitives.lowerLetter + \"+\" +\n\texports.textPrimitives.upperLetter +\n\texports.textPrimitives.anyLetter + \"*\";\n\nexports.htmlEntities = {quot:34, amp:38, apos:39, lt:60, gt:62, nbsp:160, iexcl:161, cent:162, pound:163, curren:164, yen:165, brvbar:166, sect:167, uml:168, copy:169, ordf:170, laquo:171, not:172, shy:173, reg:174, macr:175, deg:176, plusmn:177, sup2:178, sup3:179, acute:180, micro:181, para:182, middot:183, cedil:184, sup1:185, ordm:186, raquo:187, frac14:188, frac12:189, frac34:190, iquest:191, Agrave:192, Aacute:193, Acirc:194, Atilde:195, Auml:196, Aring:197, AElig:198, Ccedil:199, Egrave:200, Eacute:201, Ecirc:202, Euml:203, Igrave:204, Iacute:205, Icirc:206, Iuml:207, ETH:208, Ntilde:209, Ograve:210, Oacute:211, Ocirc:212, Otilde:213, Ouml:214, times:215, Oslash:216, Ugrave:217, Uacute:218, Ucirc:219, Uuml:220, Yacute:221, THORN:222, szlig:223, agrave:224, aacute:225, acirc:226, atilde:227, auml:228, aring:229, aelig:230, ccedil:231, egrave:232, eacute:233, ecirc:234, euml:235, igrave:236, iacute:237, icirc:238, iuml:239, eth:240, ntilde:241, ograve:242, oacute:243, ocirc:244, otilde:245, ouml:246, divide:247, oslash:248, ugrave:249, uacute:250, ucirc:251, uuml:252, yacute:253, thorn:254, yuml:255, OElig:338, oelig:339, Scaron:352, scaron:353, Yuml:376, fnof:402, circ:710, tilde:732, Alpha:913, Beta:914, Gamma:915, Delta:916, Epsilon:917, Zeta:918, Eta:919, Theta:920, Iota:921, Kappa:922, Lambda:923, Mu:924, Nu:925, Xi:926, Omicron:927, Pi:928, Rho:929, Sigma:931, Tau:932, Upsilon:933, Phi:934, Chi:935, Psi:936, Omega:937, alpha:945, beta:946, gamma:947, delta:948, epsilon:949, zeta:950, eta:951, theta:952, iota:953, kappa:954, lambda:955, mu:956, nu:957, xi:958, omicron:959, pi:960, rho:961, sigmaf:962, sigma:963, tau:964, upsilon:965, phi:966, chi:967, psi:968, omega:969, thetasym:977, upsih:978, piv:982, ensp:8194, emsp:8195, thinsp:8201, zwnj:8204, zwj:8205, lrm:8206, rlm:8207, ndash:8211, mdash:8212, lsquo:8216, rsquo:8217, sbquo:8218, ldquo:8220, rdquo:8221, bdquo:8222, dagger:8224, Dagger:8225, bull:8226, hellip:8230, permil:8240, prime:8242, Prime:8243, lsaquo:8249, rsaquo:8250, oline:8254, frasl:8260, euro:8364, image:8465, weierp:8472, real:8476, trade:8482, alefsym:8501, larr:8592, uarr:8593, rarr:8594, darr:8595, harr:8596, crarr:8629, lArr:8656, uArr:8657, rArr:8658, dArr:8659, hArr:8660, forall:8704, part:8706, exist:8707, empty:8709, nabla:8711, isin:8712, notin:8713, ni:8715, prod:8719, sum:8721, minus:8722, lowast:8727, radic:8730, prop:8733, infin:8734, ang:8736, and:8743, or:8744, cap:8745, cup:8746, int:8747, there4:8756, sim:8764, cong:8773, asymp:8776, ne:8800, equiv:8801, le:8804, ge:8805, sub:8834, sup:8835, nsub:8836, sube:8838, supe:8839, oplus:8853, otimes:8855, perp:8869, sdot:8901, lceil:8968, rceil:8969, lfloor:8970, rfloor:8971, lang:9001, rang:9002, loz:9674, spades:9824, clubs:9827, hearts:9829, diams:9830 };\n\nexports.htmlVoidElements = \"area,base,br,col,command,embed,hr,img,input,keygen,link,meta,param,source,track,wbr\".split(\",\");\n\nexports.htmlBlockElements = \"address,article,aside,audio,blockquote,canvas,dd,div,dl,fieldset,figcaption,figure,footer,form,h1,h2,h3,h4,h5,h6,header,hgroup,hr,li,noscript,ol,output,p,pre,section,table,tfoot,ul,video\".split(\",\");\n\nexports.htmlUnsafeElements = \"script\".split(\",\");\n\n})();\n",
"title": "$:/core/modules/config.js",
"type": "application/javascript",
"module-type": "config"
},
"$:/core/modules/deserializers.js": {
"text": "/*\\\ntitle: $:/core/modules/deserializers.js\ntype: application/javascript\nmodule-type: tiddlerdeserializer\n\nFunctions to deserialise tiddlers from a block of text\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nUtility function to parse an old-style tiddler DIV in a *.tid file. It looks like this:\n\n<div title=\"Title\" creator=\"JoeBloggs\" modifier=\"JoeBloggs\" created=\"201102111106\" modified=\"201102111310\" tags=\"myTag [[my long tag]]\">\n<pre>The text of the tiddler (without the expected HTML encoding).\n</pre>\n</div>\n\nNote that the field attributes are HTML encoded, but that the body of the <PRE> tag is not encoded.\n\nWhen these tiddler DIVs are encountered within a TiddlyWiki HTML file then the body is encoded in the usual way.\n*/\nvar parseTiddlerDiv = function(text /* [,fields] */) {\n\t// Slot together the default results\n\tvar result = {};\n\tif(arguments.length > 1) {\n\t\tfor(var f=1; f<arguments.length; f++) {\n\t\t\tvar fields = arguments[f];\n\t\t\tfor(var t in fields) {\n\t\t\t\tresult[t] = fields[t];\t\t\n\t\t\t}\n\t\t}\n\t}\n\t// Parse the DIV body\n\tvar startRegExp = /^\\s*<div\\s+([^>]*)>(\\s*<pre>)?/gi,\n\t\tendRegExp,\n\t\tmatch = startRegExp.exec(text);\n\tif(match) {\n\t\t// Old-style DIVs don't have the <pre> tag\n\t\tif(match[2]) {\n\t\t\tendRegExp = /<\\/pre>\\s*<\\/div>\\s*$/gi;\n\t\t} else {\n\t\t\tendRegExp = /<\\/div>\\s*$/gi;\n\t\t}\n\t\tvar endMatch = endRegExp.exec(text);\n\t\tif(endMatch) {\n\t\t\t// Extract the text\n\t\t\tresult.text = text.substring(match.index + match[0].length,endMatch.index);\n\t\t\t// Process the attributes\n\t\t\tvar attrRegExp = /\\s*([^=\\s]+)\\s*=\\s*(?:\"([^\"]*)\"|'([^']*)')/gi,\n\t\t\t\tattrMatch;\n\t\t\tdo {\n\t\t\t\tattrMatch = attrRegExp.exec(match[1]);\n\t\t\t\tif(attrMatch) {\n\t\t\t\t\tvar name = attrMatch[1];\n\t\t\t\t\tvar value = attrMatch[2] !== undefined ? attrMatch[2] : attrMatch[3];\n\t\t\t\t\tresult[name] = value;\n\t\t\t\t}\n\t\t\t} while(attrMatch);\n\t\t\treturn result;\n\t\t}\n\t}\n\treturn undefined;\n};\n\nexports[\"application/x-tiddler-html-div\"] = function(text,fields) {\n\treturn [parseTiddlerDiv(text,fields)];\n};\n\nexports[\"application/json\"] = function(text,fields) {\n\tvar incoming = JSON.parse(text),\n\t\tresults = [];\n\tif($tw.utils.isArray(incoming)) {\n\t\tfor(var t=0; t<incoming.length; t++) {\n\t\t\tvar incomingFields = incoming[t],\n\t\t\t\tfields = {};\n\t\t\tfor(var f in incomingFields) {\n\t\t\t\tif(typeof incomingFields[f] === \"string\") {\n\t\t\t\t\tfields[f] = incomingFields[f];\n\t\t\t\t}\n\t\t\t}\n\t\t\tresults.push(fields);\n\t\t}\n\t}\n\treturn results;\n};\n\n/*\nParse an HTML file into tiddlers. There are three possibilities:\n# A TiddlyWiki classic HTML file containing `text/x-tiddlywiki` tiddlers\n# A TiddlyWiki5 HTML file containing `text/vnd.tiddlywiki` tiddlers\n# An ordinary HTML file\n*/\nexports[\"text/html\"] = function(text,fields) {\n\t// Check if we've got a store area\n\tvar storeAreaMarkerRegExp = /<div id=[\"']?storeArea['\"]?( style=[\"']?display:none;[\"']?)?>/gi,\n\t\tmatch = storeAreaMarkerRegExp.exec(text);\n\tif(match) {\n\t\t// If so, it's either a classic TiddlyWiki file or an unencrypted TW5 file\n\t\t// First read the normal tiddlers\n\t\tvar results = deserializeTiddlyWikiFile(text,storeAreaMarkerRegExp.lastIndex,!!match[1],fields);\n\t\t// Then any system tiddlers\n\t\tvar systemAreaMarkerRegExp = /<div id=[\"']?systemArea['\"]?( style=[\"']?display:none;[\"']?)?>/gi,\n\t\t\tsysMatch = systemAreaMarkerRegExp.exec(text);\n\t\tif(sysMatch) {\n\t\t\tresults.push.apply(results,deserializeTiddlyWikiFile(text,systemAreaMarkerRegExp.lastIndex,!!sysMatch[1],fields));\n\t\t}\n\t\treturn results;\n\t} else {\n\t\t// Check whether we've got an encrypted file\n\t\tvar encryptedStoreArea = $tw.utils.extractEncryptedStoreArea(text);\n\t\tif(encryptedStoreArea) {\n\t\t\t// If so, attempt to decrypt it using the current password\n\t\t\treturn $tw.utils.decryptStoreArea(encryptedStoreArea);\n\t\t} else {\n\t\t\t// It's not a TiddlyWiki so we'll return the entire HTML file as a tiddler\n\t\t\treturn deserializeHtmlFile(text,fields);\n\t\t}\n\t}\n};\n\nfunction deserializeHtmlFile(text,fields) {\n\tvar result = {};\n\t$tw.utils.each(fields,function(value,name) {\n\t\tresult[name] = value;\n\t});\n\tresult.text = text;\n\tresult.type = \"text/html\";\n\treturn [result];\n}\n\nfunction deserializeTiddlyWikiFile(text,storeAreaEnd,isTiddlyWiki5,fields) {\n\tvar results = [],\n\t\tendOfDivRegExp = /(<\\/div>\\s*)/gi,\n\t\tstartPos = storeAreaEnd,\n\t\tdefaultType = isTiddlyWiki5 ? undefined : \"text/x-tiddlywiki\";\n\tendOfDivRegExp.lastIndex = startPos;\n\tvar match = endOfDivRegExp.exec(text);\n\twhile(match) {\n\t\tvar endPos = endOfDivRegExp.lastIndex,\n\t\t\ttiddlerFields = parseTiddlerDiv(text.substring(startPos,endPos),fields,{type: defaultType});\n\t\tif(!tiddlerFields) {\n\t\t\tbreak;\n\t\t}\n\t\t$tw.utils.each(tiddlerFields,function(value,name) {\n\t\t\tif(typeof value === \"string\") {\n\t\t\t\ttiddlerFields[name] = $tw.utils.htmlDecode(value);\n\t\t\t}\n\t\t});\n\t\tif(tiddlerFields.text !== null) {\n\t\t\tresults.push(tiddlerFields);\n\t\t}\n\t\tstartPos = endPos;\n\t\tmatch = endOfDivRegExp.exec(text);\n\t}\n\treturn results;\n}\n\n})();\n",
"title": "$:/core/modules/deserializers.js",
"type": "application/javascript",
"module-type": "tiddlerdeserializer"
},
"$:/core/modules/filters/addprefix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/addprefix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for adding a prefix to each title in the list. This is\nespecially useful in contexts where only a filter expression is allowed\nand macro substitution isn't available.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.addprefix = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(operator.operand + title);\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/addprefix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/addsuffix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/addsuffix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for adding a suffix to each title in the list. This is\nespecially useful in contexts where only a filter expression is allowed\nand macro substitution isn't available.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.addsuffix = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title + operator.operand);\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/addsuffix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/after.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/after.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning the tiddler from the current list that is after the tiddler named in the operand.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.after = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\tvar index = results.indexOf(operator.operand);\n\tif(index === -1 || index > (results.length - 2)) {\n\t\treturn [];\n\t} else {\n\t\treturn [results[index + 1]];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/filters/after.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/all/current.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all/current.js\ntype: application/javascript\nmodule-type: allfilteroperator\n\nFilter function for [all[current]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.current = function(source,prefix,options) {\n\tvar currTiddlerTitle = options.widget && options.widget.getVariable(\"currentTiddler\");\n\tif(currTiddlerTitle) {\n\t\treturn [currTiddlerTitle];\n\t} else {\n\t\treturn [];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/filters/all/current.js",
"type": "application/javascript",
"module-type": "allfilteroperator"
},
"$:/core/modules/filters/all/missing.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all/missing.js\ntype: application/javascript\nmodule-type: allfilteroperator\n\nFilter function for [all[missing]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.missing = function(source,prefix,options) {\n\treturn options.wiki.getMissingTitles();\n};\n\n})();\n",
"title": "$:/core/modules/filters/all/missing.js",
"type": "application/javascript",
"module-type": "allfilteroperator"
},
"$:/core/modules/filters/all/orphans.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all/orphans.js\ntype: application/javascript\nmodule-type: allfilteroperator\n\nFilter function for [all[orphans]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.orphans = function(source,prefix,options) {\n\treturn options.wiki.getOrphanTitles();\n};\n\n})();\n",
"title": "$:/core/modules/filters/all/orphans.js",
"type": "application/javascript",
"module-type": "allfilteroperator"
},
"$:/core/modules/filters/all/shadows.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all/shadows.js\ntype: application/javascript\nmodule-type: allfilteroperator\n\nFilter function for [all[shadows]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.shadows = function(source,prefix,options) {\n\treturn options.wiki.allShadowTitles();\n};\n\n})();\n",
"title": "$:/core/modules/filters/all/shadows.js",
"type": "application/javascript",
"module-type": "allfilteroperator"
},
"$:/core/modules/filters/all/tiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all/tiddlers.js\ntype: application/javascript\nmodule-type: allfilteroperator\n\nFilter function for [all[tiddlers]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tiddlers = function(source,prefix,options) {\n\treturn options.wiki.allTitles();\n};\n\n})();\n",
"title": "$:/core/modules/filters/all/tiddlers.js",
"type": "application/javascript",
"module-type": "allfilteroperator"
},
"$:/core/modules/filters/all.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/all.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for selecting tiddlers\n\n[all[shadows+tiddlers]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar allFilterOperators;\n\nfunction getAllFilterOperators() {\n\tif(!allFilterOperators) {\n\t\tallFilterOperators = {};\n\t\t$tw.modules.applyMethods(\"allfilteroperator\",allFilterOperators);\n\t}\n\treturn allFilterOperators;\n}\n\n/*\nExport our filter function\n*/\nexports.all = function(source,operator,options) {\n\t// Get our suboperators\n\tvar allFilterOperators = getAllFilterOperators();\n\t// Cycle through the suboperators accumulating their results\n\tvar results = [],\n\t\tsubops = operator.operand.split(\"+\");\n\t// Check for common optimisations\n\tif(subops.length === 1 && subops[0] === \"\") {\n\t\treturn source;\n\t} else if(subops.length === 1 && subops[0] === \"tiddlers\") {\n\t\treturn options.wiki.each;\n\t} else if(subops.length === 1 && subops[0] === \"shadows\") {\n\t\treturn options.wiki.eachShadow;\n\t} else if(subops.length === 2 && subops[0] === \"tiddlers\" && subops[1] === \"shadows\") {\n\t\treturn options.wiki.eachTiddlerPlusShadows;\n\t} else if(subops.length === 2 && subops[0] === \"shadows\" && subops[1] === \"tiddlers\") {\n\t\treturn options.wiki.eachShadowPlusTiddlers;\n\t}\n\t// Do it the hard way\n\tfor(var t=0; t<subops.length; t++) {\n\t\tvar subop = allFilterOperators[subops[t]];\n\t\tif(subop) {\n\t\t\t$tw.utils.pushTop(results,subop(source,operator.prefix,options));\n\t\t}\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/all.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/backlinks.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/backlinks.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning all the backlinks from a tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.backlinks = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\t$tw.utils.pushTop(results,options.wiki.getTiddlerBacklinks(title));\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/backlinks.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/before.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/before.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning the tiddler from the current list that is before the tiddler named in the operand.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.before = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\tvar index = results.indexOf(operator.operand);\n\tif(index <= 0) {\n\t\treturn [];\n\t} else {\n\t\treturn [results[index - 1]];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/filters/before.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/commands.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/commands.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the names of the commands available in this wiki\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.commands = function(source,operator,options) {\n\tvar results = [];\n\t$tw.utils.each($tw.commands,function(commandInfo,name) {\n\t\tresults.push(name);\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/commands.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/each.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/each.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator that selects one tiddler for each unique value of the specified field\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.each = function(source,operator,options) {\n\tvar results = [],\n\t\tvalues = {};\n\tsource(function(tiddler,title) {\n\t\tif(tiddler) {\n\t\t\tvar value;\n\t\t\tif((operator.operand === \"\") || (operator.operand === \"title\")) {\n\t\t\t\tvalue = title;\n\t\t\t} else {\n\t\t\t\tvalue = tiddler.getFieldString(operator.operand);\n\t\t\t}\n\t\t\tif(!$tw.utils.hop(values,value)) {\n\t\t\t\tvalues[value] = true;\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/each.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/eachday.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/eachday.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator that selects one tiddler for each unique day covered by the specified date field\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.eachday = function(source,operator,options) {\n\tvar results = [],\n\t\tvalues = [];\n\t// Function to convert a date/time to a date integer\n\tvar toDate = function(value) {\n\t\tvalue = (new Date(value)).setHours(0,0,0,0);\n\t\treturn value+0;\n\t};\n\tsource(function(tiddler,title) {\n\t\tif(tiddler && tiddler.fields[operator.operand]) {\n\t\t\tvar value = toDate(tiddler.fields[operator.operand]);\n\t\t\tif(values.indexOf(value) === -1) {\n\t\t\t\tvalues.push(value);\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/eachday.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/field.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/field.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for comparing fields for equality\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.field = function(source,operator,options) {\n\tvar results = [],\n\t\tfieldname = (operator.suffix || operator.operator || \"title\").toLowerCase();\n\tif(operator.prefix === \"!\") {\n\t\tif(operator.regexp) {\n\t\t\tsource(function(tiddler,title) {\n\t\t\t\tif(tiddler) {\n\t\t\t\t\tvar text = tiddler.getFieldString(fieldname);\n\t\t\t\t\tif(text !== null && !operator.regexp.exec(text)) {\n\t\t\t\t\t\tresults.push(title);\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\tresults.push(title);\n\t\t\t\t}\n\t\t\t});\n\t\t} else {\n\t\t\tsource(function(tiddler,title) {\n\t\t\t\tif(tiddler) {\n\t\t\t\t\tvar text = tiddler.getFieldString(fieldname);\n\t\t\t\t\tif(text !== null && text !== operator.operand) {\n\t\t\t\t\t\tresults.push(title);\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\tresults.push(title);\n\t\t\t\t}\n\t\t\t});\n\t\t}\n\t} else {\n\t\tif(operator.regexp) {\n\t\t\tsource(function(tiddler,title) {\n\t\t\t\tif(tiddler) {\n\t\t\t\t\tvar text = tiddler.getFieldString(fieldname);\n\t\t\t\t\tif(text !== null && !!operator.regexp.exec(text)) {\n\t\t\t\t\t\tresults.push(title);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t});\n\t\t} else {\n\t\t\tsource(function(tiddler,title) {\n\t\t\t\tif(tiddler) {\n\t\t\t\t\tvar text = tiddler.getFieldString(fieldname);\n\t\t\t\t\tif(text !== null && text === operator.operand) {\n\t\t\t\t\t\tresults.push(title);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t});\n\t\t}\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/field.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/fields.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/fields.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the names of the fields on the selected tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.fields = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tif(tiddler) {\n\t\t\tfor(var fieldName in tiddler.fields) {\n\t\t\t\t$tw.utils.pushTop(results,fieldName);\n\t\t\t}\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/fields.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/get.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/get.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for replacing tiddler titles by the value of the field specified in the operand.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.get = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tif(tiddler) {\n\t\t\tvar value = tiddler.getFieldString(operator.operand);\n\t\t\tif(value) {\n\t\t\t\tresults.push(value);\n\t\t\t}\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/get.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/has.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/has.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for checking if a tiddler has the specified field\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.has = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!tiddler || (tiddler && (!$tw.utils.hop(tiddler.fields,operator.operand) || tiddler.fields[operator.operand] === \"\"))) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(tiddler && $tw.utils.hop(tiddler.fields,operator.operand) && tiddler.fields[operator.operand] !== \"\") {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/has.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/indexes.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/indexes.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the indexes of a data tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.indexes = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tvar data = options.wiki.getTiddlerData(title);\n\t\tif(data) {\n\t\t\t$tw.utils.pushTop(results,Object.keys(data));\n\t\t}\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/indexes.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/is/current.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/current.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[current]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.current = function(source,prefix,options) {\n\tvar results = [],\n\t\tcurrTiddlerTitle = options.widget && options.widget.getVariable(\"currentTiddler\");\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title !== currTiddlerTitle) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title === currTiddlerTitle) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/current.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/image.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/image.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[image]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.image = function(source,prefix,options) {\n\tvar results = [];\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!options.wiki.isImageTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(options.wiki.isImageTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/image.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/missing.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/missing.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[missing]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.missing = function(source,prefix,options) {\n\tvar results = [];\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(options.wiki.tiddlerExists(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!options.wiki.tiddlerExists(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/missing.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/orphan.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/orphan.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[orphan]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.orphan = function(source,prefix,options) {\n\tvar results = [],\n\t\torphanTitles = options.wiki.getOrphanTitles();\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(orphanTitles.indexOf(title) === -1) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(orphanTitles.indexOf(title) !== -1) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/orphan.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/shadow.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/shadow.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[shadow]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.shadow = function(source,prefix,options) {\n\tvar results = [];\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!options.wiki.isShadowTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(options.wiki.isShadowTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/shadow.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/system.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/system.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[system]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.system = function(source,prefix,options) {\n\tvar results = [];\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!options.wiki.isSystemTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(options.wiki.isSystemTiddler(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/system.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/tag.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/tag.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[tag]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tag = function(source,prefix,options) {\n\tvar results = [],\n\t\ttagMap = options.wiki.getTagMap();\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!$tw.utils.hop(tagMap,title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif($tw.utils.hop(tagMap,title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/tag.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is/tiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is/tiddler.js\ntype: application/javascript\nmodule-type: isfilteroperator\n\nFilter function for [is[tiddler]]\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tiddler = function(source,prefix,options) {\n\tvar results = [];\n\tif(prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!options.wiki.tiddlerExists(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(options.wiki.tiddlerExists(title)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/is/tiddler.js",
"type": "application/javascript",
"module-type": "isfilteroperator"
},
"$:/core/modules/filters/is.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/is.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for checking tiddler properties\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar isFilterOperators;\n\nfunction getIsFilterOperators() {\n\tif(!isFilterOperators) {\n\t\tisFilterOperators = {};\n\t\t$tw.modules.applyMethods(\"isfilteroperator\",isFilterOperators);\n\t}\n\treturn isFilterOperators;\n}\n\n/*\nExport our filter function\n*/\nexports.is = function(source,operator,options) {\n\t// Dispatch to the correct isfilteroperator\n\tvar isFilterOperators = getIsFilterOperators();\n\tvar isFilterOperator = isFilterOperators[operator.operand];\n\tif(isFilterOperator) {\n\t\treturn isFilterOperator(source,operator.prefix,options);\n\t} else {\n\t\treturn [\"Filter Error: Unknown operand for the 'is' filter operator\"];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/filters/is.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/limit.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/limit.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for chopping the results to a specified maximum number of entries\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.limit = function(source,operator,options) {\n\tvar results = [];\n\t// Convert to an array\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\t// Slice the array if necessary\n\tvar limit = Math.min(results.length,parseInt(operator.operand,10));\n\tif(operator.prefix === \"!\") {\n\t\tresults = results.slice(-limit);\n\t} else {\n\t\tresults = results.slice(0,limit);\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/limit.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/links.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/links.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning all the links from a tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.links = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\t$tw.utils.pushTop(results,options.wiki.getTiddlerLinks(title));\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/links.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/list.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/list.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning the tiddlers whose title is listed in the operand tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.list = function(source,operator,options) {\n\tvar results = [],\n\t\ttr = $tw.utils.parseTextReference(operator.operand),\n\t\tcurrTiddlerTitle = options.widget && options.widget.getVariable(\"currentTiddler\"),\n\t\tlist = options.wiki.getTiddlerList(tr.title || currTiddlerTitle,tr.field,tr.index);\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(list.indexOf(title) === -1) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tresults = list;\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/list.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/listed.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/listed.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning all tiddlers that have the selected tiddlers in a list\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.listed = function(source,operator,options) {\n\tvar field = operator.operand || \"list\",\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\t$tw.utils.pushTop(results,options.wiki.findListingsOfTiddler(title,field));\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/listed.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/listops.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/listops.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operators for manipulating the current selection list\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nReverse list\n*/\nexports.reverse = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.unshift(title);\n\t});\n\treturn results;\n};\n\n/*\nFirst entry/entries in list\n*/\nexports.first = function(source,operator,options) {\n\tvar count = parseInt(operator.operand) || 1,\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results.slice(0,count);\n};\n\n/*\nLast entry/entries in list\n*/\nexports.last = function(source,operator,options) {\n\tvar count = parseInt(operator.operand) || 1,\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results.slice(-count);\n};\n\n/*\nAll but the first entry/entries of the list\n*/\nexports.rest = function(source,operator,options) {\n\tvar count = parseInt(operator.operand) || 1,\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results.slice(count);\n};\nexports.butfirst = exports.rest;\nexports.bf = exports.rest;\n\n/*\nAll but the last entry/entries of the list\n*/\nexports.butlast = function(source,operator,options) {\n\tvar count = parseInt(operator.operand) || 1,\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results.slice(0,-count);\n};\nexports.bl = exports.butlast;\n\n/*\nThe nth member of the list\n*/\nexports.nth = function(source,operator,options) {\n\tvar count = parseInt(operator.operand) || 1,\n\t\tresults = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results.slice(count - 1,count);\n};\n\n})();\n",
"title": "$:/core/modules/filters/listops.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/modules.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/modules.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the titles of the modules of a given type in this wiki\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.modules = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\t$tw.utils.each($tw.modules.types[title],function(moduleInfo,moduleName) {\n\t\t\tresults.push(moduleName);\n\t\t});\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/modules.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/moduletypes.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/moduletypes.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the names of the module types in this wiki\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.moduletypes = function(source,operator,options) {\n\tvar results = [];\n\t$tw.utils.each($tw.modules.types,function(moduleInfo,type) {\n\t\tresults.push(type);\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/moduletypes.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/next.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/next.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning the tiddler whose title occurs next in the list supplied in the operand tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.next = function(source,operator,options) {\n\tvar results = [],\n\t\tlist = options.wiki.getTiddlerList(operator.operand);\n\tsource(function(tiddler,title) {\n\t\tvar match = list.indexOf(title);\n\t\t// increment match and then test if result is in range\n\t\tmatch++;\n\t\tif(match > 0 && match < list.length) {\n\t\t\tresults.push(list[match]);\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/next.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/plugintiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/plugintiddlers.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the titles of the shadow tiddlers within a plugin\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.plugintiddlers = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tvar pluginInfo = options.wiki.getPluginInfo(title) || options.wiki.getTiddlerData(title,{tiddlers:[]});\n\t\tif(pluginInfo && pluginInfo.tiddlers) {\n\t\t\t$tw.utils.each(pluginInfo.tiddlers,function(fields,title) {\n\t\t\t\tresults.push(title);\n\t\t\t});\n\t\t}\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/plugintiddlers.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/prefix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/prefix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for checking if a title starts with a prefix\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.prefix = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title.substr(0,operator.operand.length) !== operator.operand) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title.substr(0,operator.operand.length) === operator.operand) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/prefix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/previous.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/previous.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning the tiddler whose title occurs immediately prior in the list supplied in the operand tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.previous = function(source,operator,options) {\n\tvar results = [],\n\t\tlist = options.wiki.getTiddlerList(operator.operand);\n\tsource(function(tiddler,title) {\n\t\tvar match = list.indexOf(title);\n\t\t// increment match and then test if result is in range\n\t\tmatch--;\n\t\tif(match >= 0) {\n\t\t\tresults.push(list[match]);\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/previous.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/regexp.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/regexp.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for regexp matching\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.regexp = function(source,operator,options) {\n\tvar results = [],\n\t\tfieldname = (operator.suffix || \"title\").toLowerCase(),\n\t\tregexpString, regexp, flags = \"\", match,\n\t\tgetFieldString = function(tiddler,title) {\n\t\t\tif(tiddler) {\n\t\t\t\treturn tiddler.getFieldString(fieldname);\n\t\t\t} else if(fieldname === \"title\") {\n\t\t\t\treturn title;\n\t\t\t} else {\n\t\t\t\treturn null;\n\t\t\t}\n\t\t};\n\t// Process flags and construct regexp\n\tregexpString = operator.operand;\n\tmatch = /^\\(\\?([gim]+)\\)/.exec(regexpString);\n\tif(match) {\n\t\tflags = match[1];\n\t\tregexpString = regexpString.substr(match[0].length);\n\t} else {\n\t\tmatch = /\\(\\?([gim]+)\\)$/.exec(regexpString);\n\t\tif(match) {\n\t\t\tflags = match[1];\n\t\t\tregexpString = regexpString.substr(0,regexpString.length - match[0].length);\n\t\t}\n\t}\n\tregexp = new RegExp(regexpString,flags);\n\t// Process the incoming tiddlers\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tvar text = getFieldString(tiddler,title);\n\t\t\tif(text !== null) {\n\t\t\t\tif(!regexp.exec(text)) {\n\t\t\t\t\tresults.push(title);\n\t\t\t\t}\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tvar text = getFieldString(tiddler,title);\n\t\t\tif(text !== null) {\n\t\t\t\tif(!!regexp.exec(text)) {\n\t\t\t\t\tresults.push(title);\n\t\t\t\t}\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/regexp.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/removeprefix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/removeprefix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for removing a prefix from each title in the list. Titles that do not start with the prefix are removed.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.removeprefix = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tif(title.substr(0,operator.operand.length) === operator.operand) {\n\t\t\tresults.push(title.substr(operator.operand.length));\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/removeprefix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/removesuffix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/removesuffix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for removing a suffix from each title in the list. Titles that do not end with the suffix are removed.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.removesuffix = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tif(title.substr(-operator.operand.length) === operator.operand) {\n\t\t\tresults.push(title.substr(0,title.length - operator.operand.length));\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/removesuffix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/sameday.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/sameday.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator that selects tiddlers with a modified date field on the same day as the provided value.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.sameday = function(source,operator,options) {\n\tvar results = [],\n\t\tfieldName = operator.suffix || \"modified\",\n\t\ttargetDate = (new Date($tw.utils.parseDate(operator.operand))).setHours(0,0,0,0);\n\t// Function to convert a date/time to a date integer\n\tvar isSameDay = function(dateField) {\n\t\t\treturn (new Date(dateField)).setHours(0,0,0,0) === targetDate;\n\t\t};\n\tsource(function(tiddler,title) {\n\t\tif(tiddler && tiddler.fields[fieldName]) {\n\t\t\tif(isSameDay(tiddler.fields[fieldName])) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/sameday.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/search.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/search.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for searching for the text in the operand tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.search = function(source,operator,options) {\n\tvar invert = operator.prefix === \"!\";\n\tif(operator.suffix) {\n\t\treturn options.wiki.search(operator.operand,{\n\t\t\tsource: source,\n\t\t\tinvert: invert,\n\t\t\tfield: operator.suffix\n\t\t});\n\t} else {\n\t\treturn options.wiki.search(operator.operand,{\n\t\t\tsource: source,\n\t\t\tinvert: invert\n\t\t});\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/filters/search.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/shadowsource.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/shadowsource.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the source plugins for shadow tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.shadowsource = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tvar source = options.wiki.getShadowSource(title);\n\t\tif(source) {\n\t\t\t$tw.utils.pushTop(results,source);\n\t\t}\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/shadowsource.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/sort.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/sort.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for sorting\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.sort = function(source,operator,options) {\n\tvar results = prepare_results(source);\n\toptions.wiki.sortTiddlers(results,operator.operand || \"title\",operator.prefix === \"!\",false,false);\n\treturn results;\n};\n\nexports.nsort = function(source,operator,options) {\n\tvar results = prepare_results(source);\n\toptions.wiki.sortTiddlers(results,operator.operand || \"title\",operator.prefix === \"!\",false,true);\n\treturn results;\n};\n\nexports.sortcs = function(source,operator,options) {\n\tvar results = prepare_results(source);\n\toptions.wiki.sortTiddlers(results,operator.operand || \"title\",operator.prefix === \"!\",true,false);\n\treturn results;\n};\n\nexports.nsortcs = function(source,operator,options) {\n\tvar results = prepare_results(source);\n\toptions.wiki.sortTiddlers(results,operator.operand || \"title\",operator.prefix === \"!\",true,true);\n\treturn results;\n};\n\nvar prepare_results = function (source) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tresults.push(title);\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/sort.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/splitbefore.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/splitbefore.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator that splits each result on the first occurance of the specified separator and returns the unique values.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.splitbefore = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tvar parts = title.split(operator.operand);\n\t\tif(parts.length === 1) {\n\t\t\t$tw.utils.pushTop(results,parts[0]);\n\t\t} else {\n\t\t\t$tw.utils.pushTop(results,parts[0] + operator.operand);\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/splitbefore.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/storyviews.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/storyviews.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for returning the names of the story views in this wiki\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.storyviews = function(source,operator,options) {\n\tvar results = [],\n\t\tstoryviews = {};\n\t$tw.modules.applyMethods(\"storyview\",storyviews);\n\t$tw.utils.each(storyviews,function(info,name) {\n\t\tresults.push(name);\n\t});\n\tresults.sort();\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/storyviews.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/suffix.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/suffix.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for checking if a title ends with a suffix\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.suffix = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title.substr(-operator.operand.length) !== operator.operand) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(title.substr(-operator.operand.length) === operator.operand) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/suffix.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/tag.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/tag.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for checking for the presence of a tag\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tag = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(tiddler && !tiddler.hasTag(operator.operand)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(tiddler && tiddler.hasTag(operator.operand)) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t\tresults = options.wiki.sortByList(results,operator.operand);\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/tag.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/tagging.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/tagging.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning all tiddlers that are tagged with the selected tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tagging = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\t$tw.utils.pushTop(results,options.wiki.getTiddlersWithTag(title));\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/tagging.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/tags.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/tags.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning all the tags of the selected tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.tags = function(source,operator,options) {\n\tvar results = [];\n\tsource(function(tiddler,title) {\n\t\tif(tiddler && tiddler.fields.tags) {\n\t\t\t$tw.utils.pushTop(results,tiddler.fields.tags);\n\t\t}\n\t});\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/tags.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/title.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/title.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator for comparing title fields for equality\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.title = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(tiddler && tiddler.fields.title !== operator.operand) {\n\t\t\t\tresults.push(title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tresults.push(operator.operand);\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/title.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters/untagged.js": {
"text": "/*\\\ntitle: $:/core/modules/filters/untagged.js\ntype: application/javascript\nmodule-type: filteroperator\n\nFilter operator returning all the selected tiddlers that are untagged\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nExport our filter function\n*/\nexports.untagged = function(source,operator,options) {\n\tvar results = [];\n\tif(operator.prefix === \"!\") {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(tiddler && $tw.utils.isArray(tiddler.fields.tags) && tiddler.fields.tags.length > 0) {\n\t\t\t\t$tw.utils.pushTop(results,title);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tsource(function(tiddler,title) {\n\t\t\tif(!tiddler || !tiddler.hasField(\"tags\") || ($tw.utils.isArray(tiddler.fields.tags) && tiddler.fields.tags.length === 0)) {\n\t\t\t\t$tw.utils.pushTop(results,title);\n\t\t\t}\n\t\t});\n\t}\n\treturn results;\n};\n\n})();\n",
"title": "$:/core/modules/filters/untagged.js",
"type": "application/javascript",
"module-type": "filteroperator"
},
"$:/core/modules/filters.js": {
"text": "/*\\\ntitle: $:/core/modules/filters.js\ntype: application/javascript\nmodule-type: wikimethod\n\nAdds tiddler filtering methods to the $tw.Wiki object.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nParses an operation within a filter string\n\tresults: Array of array of operator nodes into which results should be inserted\n\tfilterString: filter string\n\tp: start position within the string\nReturns the new start position, after the parsed operation\n*/\nfunction parseFilterOperation(operators,filterString,p) {\n\tvar operator, operand, bracketPos, curlyBracketPos;\n\t// Skip the starting square bracket\n\tif(filterString.charAt(p++) !== \"[\") {\n\t\tthrow \"Missing [ in filter expression\";\n\t}\n\t// Process each operator in turn\n\tdo {\n\t\toperator = {};\n\t\t// Check for an operator prefix\n\t\tif(filterString.charAt(p) === \"!\") {\n\t\t\toperator.prefix = filterString.charAt(p++);\n\t\t}\n\t\t// Get the operator name\n\t\tvar nextBracketPos = filterString.substring(p).search(/[\\[\\{<\\/]/);\n\t\tif(nextBracketPos === -1) {\n\t\t\tthrow \"Missing [ in filter expression\";\n\t\t}\n\t\tnextBracketPos += p;\n\t\tvar bracket = filterString.charAt(nextBracketPos);\n\t\toperator.operator = filterString.substring(p,nextBracketPos);\n\t\t\n\t\t// Any suffix?\n\t\tvar colon = operator.operator.indexOf(':');\n\t\tif(colon > -1) {\n\t\t\toperator.suffix = operator.operator.substring(colon + 1);\n\t\t\toperator.operator = operator.operator.substring(0,colon) || \"field\";\n\t\t}\n\t\t// Empty operator means: title\n\t\telse if(operator.operator === \"\") {\n\t\t\toperator.operator = \"title\";\n\t\t}\n\n\t\tp = nextBracketPos + 1;\n\t\tswitch (bracket) {\n\t\t\tcase \"{\": // Curly brackets\n\t\t\t\toperator.indirect = true;\n\t\t\t\tnextBracketPos = filterString.indexOf(\"}\",p);\n\t\t\t\tbreak;\n\t\t\tcase \"[\": // Square brackets\n\t\t\t\tnextBracketPos = filterString.indexOf(\"]\",p);\n\t\t\t\tbreak;\n\t\t\tcase \"<\": // Angle brackets\n\t\t\t\toperator.variable = true;\n\t\t\t\tnextBracketPos = filterString.indexOf(\">\",p);\n\t\t\t\tbreak;\n\t\t\tcase \"/\": // regexp brackets\n\t\t\t\tvar rex = /^((?:[^\\\\\\/]*|\\\\.)*)\\/(?:\\(([mygi]+)\\))?/g,\n\t\t\t\t\trexMatch = rex.exec(filterString.substring(p));\n\t\t\t\tif(rexMatch) {\n\t\t\t\t\toperator.regexp = new RegExp(rexMatch[1], rexMatch[2]);\n// DEPRECATION WARNING\nconsole.log(\"WARNING: Filter\",operator.operator,\"has a deprecated regexp operand\",operator.regexp);\n\t\t\t\t\tnextBracketPos = p + rex.lastIndex - 1;\n\t\t\t\t}\n\t\t\t\telse {\n\t\t\t\t\tthrow \"Unterminated regular expression in filter expression\";\n\t\t\t\t}\n\t\t\t\tbreak;\n\t\t}\n\t\t\n\t\tif(nextBracketPos === -1) {\n\t\t\tthrow \"Missing closing bracket in filter expression\";\n\t\t}\n\t\tif(!operator.regexp) {\n\t\t\toperator.operand = filterString.substring(p,nextBracketPos);\n\t\t}\n\t\tp = nextBracketPos + 1;\n\t\t\t\n\t\t// Push this operator\n\t\toperators.push(operator);\n\t} while(filterString.charAt(p) !== \"]\");\n\t// Skip the ending square bracket\n\tif(filterString.charAt(p++) !== \"]\") {\n\t\tthrow \"Missing ] in filter expression\";\n\t}\n\t// Return the parsing position\n\treturn p;\n}\n\n/*\nParse a filter string\n*/\nexports.parseFilter = function(filterString) {\n\tfilterString = filterString || \"\";\n\tvar results = [], // Array of arrays of operator nodes {operator:,operand:}\n\t\tp = 0, // Current position in the filter string\n\t\tmatch;\n\tvar whitespaceRegExp = /(\\s+)/mg,\n\t\toperandRegExp = /((?:\\+|\\-)?)(?:(\\[)|(\"(?:[^\"])*\")|('(?:[^'])*')|([^\\s\\[\\]]+))/mg;\n\twhile(p < filterString.length) {\n\t\t// Skip any whitespace\n\t\twhitespaceRegExp.lastIndex = p;\n\t\tmatch = whitespaceRegExp.exec(filterString);\n\t\tif(match && match.index === p) {\n\t\t\tp = p + match[0].length;\n\t\t}\n\t\t// Match the start of the operation\n\t\tif(p < filterString.length) {\n\t\t\toperandRegExp.lastIndex = p;\n\t\t\tmatch = operandRegExp.exec(filterString);\n\t\t\tif(!match || match.index !== p) {\n\t\t\t\tthrow \"Syntax error in filter expression\";\n\t\t\t}\n\t\t\tvar operation = {\n\t\t\t\tprefix: \"\",\n\t\t\t\toperators: []\n\t\t\t};\n\t\t\tif(match[1]) {\n\t\t\t\toperation.prefix = match[1];\n\t\t\t\tp++;\n\t\t\t}\n\t\t\tif(match[2]) { // Opening square bracket\n\t\t\t\tp = parseFilterOperation(operation.operators,filterString,p);\n\t\t\t} else {\n\t\t\t\tp = match.index + match[0].length;\n\t\t\t}\n\t\t\tif(match[3] || match[4] || match[5]) { // Double quoted string, single quoted string or unquoted title\n\t\t\t\toperation.operators.push(\n\t\t\t\t\t{operator: \"title\", operand: match[3] || match[4] || match[5]}\n\t\t\t\t);\n\t\t\t}\n\t\t\tresults.push(operation);\n\t\t}\n\t}\n\treturn results;\n};\n\nexports.getFilterOperators = function() {\n\tif(!this.filterOperators) {\n\t\t$tw.Wiki.prototype.filterOperators = {};\n\t\t$tw.modules.applyMethods(\"filteroperator\",this.filterOperators);\n\t}\n\treturn this.filterOperators;\n};\n\nexports.filterTiddlers = function(filterString,widget,source) {\n\tvar fn = this.compileFilter(filterString);\n\treturn fn.call(this,source,widget);\n};\n\n/*\nCompile a filter into a function with the signature fn(source,widget) where:\nsource: an iterator function for the source tiddlers, called source(iterator), where iterator is called as iterator(tiddler,title)\nwidget: an optional widget node for retrieving the current tiddler etc.\n*/\nexports.compileFilter = function(filterString) {\n\tvar filterParseTree;\n\ttry {\n\t\tfilterParseTree = this.parseFilter(filterString);\n\t} catch(e) {\n\t\treturn function(source,widget) {\n\t\t\treturn [\"Filter error: \" + e];\n\t\t};\n\t}\n\t// Get the hashmap of filter operator functions\n\tvar filterOperators = this.getFilterOperators();\n\t// Assemble array of functions, one for each operation\n\tvar operationFunctions = [];\n\t// Step through the operations\n\tvar self = this;\n\t$tw.utils.each(filterParseTree,function(operation) {\n\t\t// Create a function for the chain of operators in the operation\n\t\tvar operationSubFunction = function(source,widget) {\n\t\t\tvar accumulator = source,\n\t\t\t\tresults = [],\n\t\t\t\tcurrTiddlerTitle = widget && widget.getVariable(\"currentTiddler\");\n\t\t\t$tw.utils.each(operation.operators,function(operator) {\n\t\t\t\tvar operand = operator.operand,\n\t\t\t\t\toperatorFunction;\n\t\t\t\tif(!operator.operator) {\n\t\t\t\t\toperatorFunction = filterOperators.title;\n\t\t\t\t} else if(!filterOperators[operator.operator]) {\n\t\t\t\t\toperatorFunction = filterOperators.field;\n\t\t\t\t} else {\n\t\t\t\t\toperatorFunction = filterOperators[operator.operator];\n\t\t\t\t}\n\t\t\t\tif(operator.indirect) {\n\t\t\t\t\toperand = self.getTextReference(operator.operand,\"\",currTiddlerTitle);\n\t\t\t\t}\n\t\t\t\tif(operator.variable) {\n\t\t\t\t\toperand = widget.getVariable(operator.operand,{defaultValue: \"\"});\n\t\t\t\t}\n\t\t\t\tresults = operatorFunction(accumulator,{\n\t\t\t\t\t\t\toperator: operator.operator,\n\t\t\t\t\t\t\toperand: operand,\n\t\t\t\t\t\t\tprefix: operator.prefix,\n\t\t\t\t\t\t\tsuffix: operator.suffix,\n\t\t\t\t\t\t\tregexp: operator.regexp\n\t\t\t\t\t\t},{\n\t\t\t\t\t\t\twiki: self,\n\t\t\t\t\t\t\twidget: widget\n\t\t\t\t\t\t});\n\t\t\t\tif($tw.utils.isArray(results)) {\n\t\t\t\t\taccumulator = self.makeTiddlerIterator(results);\n\t\t\t\t} else {\n\t\t\t\t\taccumulator = results;\n\t\t\t\t}\n\t\t\t});\n\t\t\tif($tw.utils.isArray(results)) {\n\t\t\t\treturn results;\n\t\t\t} else {\n\t\t\t\tvar resultArray = [];\n\t\t\t\tresults(function(tiddler,title) {\n\t\t\t\t\tresultArray.push(title);\n\t\t\t\t});\n\t\t\t\treturn resultArray;\n\t\t\t}\n\t\t};\n\t\t// Wrap the operator functions in a wrapper function that depends on the prefix\n\t\toperationFunctions.push((function() {\n\t\t\tswitch(operation.prefix || \"\") {\n\t\t\t\tcase \"\": // No prefix means that the operation is unioned into the result\n\t\t\t\t\treturn function(results,source,widget) {\n\t\t\t\t\t\t$tw.utils.pushTop(results,operationSubFunction(source,widget));\n\t\t\t\t\t};\n\t\t\t\tcase \"-\": // The results of this operation are removed from the main result\n\t\t\t\t\treturn function(results,source,widget) {\n\t\t\t\t\t\t$tw.utils.removeArrayEntries(results,operationSubFunction(source,widget));\n\t\t\t\t\t};\n\t\t\t\tcase \"+\": // This operation is applied to the main results so far\n\t\t\t\t\treturn function(results,source,widget) {\n\t\t\t\t\t\t// This replaces all the elements of the array, but keeps the actual array so that references to it are preserved\n\t\t\t\t\t\tsource = self.makeTiddlerIterator(results);\n\t\t\t\t\t\tresults.splice(0,results.length);\n\t\t\t\t\t\t$tw.utils.pushTop(results,operationSubFunction(source,widget));\n\t\t\t\t\t};\n\t\t\t}\n\t\t})());\n\t});\n\t// Return a function that applies the operations to a source iterator of tiddler titles\n\treturn $tw.perf.measure(\"filter\",function filterFunction(source,widget) {\n\t\tif(!source) {\n\t\t\tsource = self.each;\n\t\t} else if(typeof source === \"object\") { // Array or hashmap\n\t\t\tsource = self.makeTiddlerIterator(source);\n\t\t}\n\t\tvar results = [];\n\t\t$tw.utils.each(operationFunctions,function(operationFunction) {\n\t\t\toperationFunction(results,source,widget);\n\t\t});\n\t\treturn results;\n\t});\n};\n\n})();\n",
"title": "$:/core/modules/filters.js",
"type": "application/javascript",
"module-type": "wikimethod"
},
"$:/core/modules/info/platform.js": {
"text": "/*\\\ntitle: $:/core/modules/info/platform.js\ntype: application/javascript\nmodule-type: info\n\nInitialise basic platform $:/info/ tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.getInfoTiddlerFields = function() {\n\tvar mapBoolean = function(value) {return value ? \"yes\" : \"no\";},\n\t\tinfoTiddlerFields = [];\n\t// Basics\n\tinfoTiddlerFields.push({title: \"$:/info/browser\", text: mapBoolean(!!$tw.browser)});\n\tinfoTiddlerFields.push({title: \"$:/info/node\", text: mapBoolean(!!$tw.node)});\n\treturn infoTiddlerFields;\n};\n\n})();\n",
"title": "$:/core/modules/info/platform.js",
"type": "application/javascript",
"module-type": "info"
},
"$:/core/modules/language.js": {
"text": "/*\\\ntitle: $:/core/modules/language.js\ntype: application/javascript\nmodule-type: global\n\nThe $tw.Language() manages translateable strings\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nCreate an instance of the language manager. Options include:\nwiki: wiki from which to retrieve translation tiddlers\n*/\nfunction Language(options) {\n\toptions = options || \"\";\n\tthis.wiki = options.wiki || $tw.wiki;\n}\n\n/*\nReturn a single translateable string. The title is automatically prefixed with \"$:/language/\"\nOptions include:\nvariables: optional hashmap of variables to supply to the language wikification\n*/\nLanguage.prototype.getString = function(title,options) {\n\toptions = options || {};\n\ttitle = \"$:/language/\" + title;\n\treturn this.wiki.renderTiddler(\"text/plain\",title,{variables: options.variables});\n};\n\nexports.Language = Language;\n\n})();\n",
"title": "$:/core/modules/language.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/macros/changecount.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/changecount.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to return the changecount for the current tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"changecount\";\n\nexports.params = [];\n\n/*\nRun the macro\n*/\nexports.run = function() {\n\treturn this.wiki.getChangeCount(this.getVariable(\"currentTiddler\")) + \"\";\n};\n\n})();\n",
"title": "$:/core/modules/macros/changecount.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/contrastcolour.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/contrastcolour.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to choose which of two colours has the highest contrast with a base colour\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"contrastcolour\";\n\nexports.params = [\n\t{name: \"target\"},\n\t{name: \"fallbackTarget\"},\n\t{name: \"colourA\"},\n\t{name: \"colourB\"}\n];\n\n/*\nRun the macro\n*/\nexports.run = function(target,fallbackTarget,colourA,colourB) {\n\tvar rgbTarget = $tw.utils.parseCSSColor(target) || $tw.utils.parseCSSColor(fallbackTarget);\n\tif(!rgbTarget) {\n\t\treturn colourA;\n\t}\n\t// Colour brightness formula derived from http://www.w3.org/WAI/ER/WD-AERT/#color-contrast\n\tvar rgbColourA = $tw.utils.parseCSSColor(colourA),\n\t\trgbColourB = $tw.utils.parseCSSColor(colourB),\n\t\tbrightnessTarget = rgbTarget[0] * 0.299 + rgbTarget[1] * 0.587 + rgbTarget[2] * 0.114,\n\t\tbrightnessA = rgbColourA[0] * 0.299 + rgbColourA[1] * 0.587 + rgbColourA[2] * 0.114,\n\t\tbrightnessB = rgbColourB[0] * 0.299 + rgbColourB[1] * 0.587 + rgbColourB[2] * 0.114;\n\treturn Math.abs(brightnessTarget - brightnessA) > Math.abs(brightnessTarget - brightnessB) ? colourA : colourB;\n};\n\n})();\n",
"title": "$:/core/modules/macros/contrastcolour.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/csvtiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/csvtiddlers.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to output tiddlers matching a filter to CSV\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"csvtiddlers\";\n\nexports.params = [\n\t{name: \"filter\"},\n\t{name: \"format\"},\n];\n\n/*\nRun the macro\n*/\nexports.run = function(filter,format) {\n\tvar self = this,\n\t\ttiddlers = this.wiki.filterTiddlers(filter),\n\t\ttiddler,\n\t\tfields = [],\n\t\tt,f;\n\t// Collect all the fields\n\tfor(t=0;t<tiddlers.length; t++) {\n\t\ttiddler = this.wiki.getTiddler(tiddlers[t]);\n\t\tfor(f in tiddler.fields) {\n\t\t\tif(fields.indexOf(f) === -1) {\n\t\t\t\tfields.push(f);\n\t\t\t}\n\t\t}\n\t}\n\t// Sort the fields and bring the standard ones to the front\n\tfields.sort();\n\t\"title text modified modifier created creator\".split(\" \").reverse().forEach(function(value,index) {\n\t\tvar p = fields.indexOf(value);\n\t\tif(p !== -1) {\n\t\t\tfields.splice(p,1);\n\t\t\tfields.unshift(value)\n\t\t}\n\t});\n\t// Output the column headings\n\tvar output = [], row = [];\n\tfields.forEach(function(value) {\n\t\trow.push(quoteAndEscape(value))\n\t});\n\toutput.push(row.join(\",\"));\n\t// Output each tiddler\n\tfor(var t=0;t<tiddlers.length; t++) {\n\t\trow = [];\n\t\ttiddler = this.wiki.getTiddler(tiddlers[t]);\n\t\t\tfor(f=0; f<fields.length; f++) {\n\t\t\t\trow.push(quoteAndEscape(tiddler ? tiddler.getFieldString(fields[f]) || \"\" : \"\"));\n\t\t\t}\n\t\toutput.push(row.join(\",\"));\n\t}\n\treturn output.join(\"\\n\");\n};\n\nfunction quoteAndEscape(value) {\n\treturn \"\\\"\" + value.replace(/\"/mg,\"\\\"\\\"\") + \"\\\"\";\n}\n\n})();\n",
"title": "$:/core/modules/macros/csvtiddlers.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/dumpvariables.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/dumpvariables.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to dump all active variable values\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"dumpvariables\";\n\nexports.params = [\n];\n\n/*\nRun the macro\n*/\nexports.run = function() {\n\tvar output = [\"|!Variable |!Value |\"],\n\t\tvariables = [], variable;\n\tfor(variable in this.variables) {\n\t\tvariables.push(variable);\n\t}\n\tvariables.sort();\n\tfor(var index=0; index<variables.length; index++) {\n\t\tvar variable = variables[index];\n\t\toutput.push(\"|\" + variable + \" |<input size=50 value=<<\" + variable + \">>/> |\")\n\t}\n\treturn output.join(\"\\n\");\n};\n\n})();\n",
"title": "$:/core/modules/macros/dumpvariables.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/jsontiddlers.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/jsontiddlers.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to output tiddlers matching a filter to JSON\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"jsontiddlers\";\n\nexports.params = [\n\t{name: \"filter\"}\n];\n\n/*\nRun the macro\n*/\nexports.run = function(filter) {\n\tvar tiddlers = this.wiki.filterTiddlers(filter),\n\t\tdata = [];\n\tfor(var t=0;t<tiddlers.length; t++) {\n\t\tvar tiddler = this.wiki.getTiddler(tiddlers[t]);\n\t\tif(tiddler) {\n\t\t\tvar fields = new Object();\n\t\t\tfor(var field in tiddler.fields) {\n\t\t\t\tfields[field] = tiddler.getFieldString(field);\n\t\t\t}\n\t\t\tdata.push(fields);\n\t\t}\n\t}\n\treturn JSON.stringify(data,null,$tw.config.preferences.jsonSpaces);\n};\n\n})();\n",
"title": "$:/core/modules/macros/jsontiddlers.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/makedatauri.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/makedatauri.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to convert the content of a tiddler to a data URI\n\n<<makedatauri text:\"Text to be converted\" type:\"text/vnd.tiddlywiki\">>\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"makedatauri\";\n\nexports.params = [\n\t{name: \"text\"},\n\t{name: \"type\"}\n];\n\n/*\nRun the macro\n*/\nexports.run = function(text,type) {\n\ttype = type || \"text/vnd.tiddlywiki\";\n\tvar typeInfo = $tw.config.contentTypeInfo[type] || $tw.config.contentTypeInfo[\"text/plain\"],\n\t\tisBase64 = typeInfo.encoding === \"base64\",\n\t\tparts = [];\n\tparts.push(\"data:\");\n\tparts.push(type);\n\tparts.push(isBase64 ? \";base64\" : \"\");\n\tparts.push(\",\");\n\tparts.push(isBase64 ? text : encodeURIComponent(text));\n\treturn parts.join(\"\");\n};\n\n})();\n",
"title": "$:/core/modules/macros/makedatauri.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/now.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/now.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to return a formatted version of the current time\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"now\";\n\nexports.params = [\n\t{name: \"format\"}\n];\n\n/*\nRun the macro\n*/\nexports.run = function(format) {\n\treturn $tw.utils.formatDateString(new Date(),format || \"0hh:0mm, DDth MMM YYYY\");\n};\n\n})();\n",
"title": "$:/core/modules/macros/now.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/qualify.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/qualify.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to qualify a state tiddler title according\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"qualify\";\n\nexports.params = [\n\t{name: \"title\"}\n];\n\n/*\nRun the macro\n*/\nexports.run = function(title) {\n\treturn title + \"-\" + this.getStateQualifier();\n};\n\n})();\n",
"title": "$:/core/modules/macros/qualify.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/macros/version.js": {
"text": "/*\\\ntitle: $:/core/modules/macros/version.js\ntype: application/javascript\nmodule-type: macro\n\nMacro to return the TiddlyWiki core version number\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInformation about this macro\n*/\n\nexports.name = \"version\";\n\nexports.params = [];\n\n/*\nRun the macro\n*/\nexports.run = function() {\n\treturn $tw.version;\n};\n\n})();\n",
"title": "$:/core/modules/macros/version.js",
"type": "application/javascript",
"module-type": "macro"
},
"$:/core/modules/parsers/audioparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/audioparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe audio parser parses an audio tiddler into an embeddable HTML element\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar AudioParser = function(type,text,options) {\n\tvar element = {\n\t\t\ttype: \"element\",\n\t\t\ttag: \"audio\",\n\t\t\tattributes: {\n\t\t\t\tcontrols: {type: \"string\", value: \"controls\"}\n\t\t\t}\n\t\t},\n\t\tsrc;\n\tif(options._canonical_uri) {\n\t\telement.attributes.src = {type: \"string\", value: options._canonical_uri};\n\t} else if(text) {\n\t\telement.attributes.src = {type: \"string\", value: \"data:\" + type + \";base64,\" + text};\n\t}\n\tthis.tree = [element];\n};\n\nexports[\"audio/ogg\"] = AudioParser;\nexports[\"audio/mpeg\"] = AudioParser;\nexports[\"audio/mp3\"] = AudioParser;\nexports[\"audio/mp4\"] = AudioParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/audioparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/parsers/csvparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/csvparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe CSV text parser processes CSV files into a table wrapped in a scrollable widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar CsvParser = function(type,text,options) {\n\t// Table framework\n\tthis.tree = [{\n\t\t\"type\": \"scrollable\", \"children\": [{\n\t\t\t\"type\": \"element\", \"tag\": \"table\", \"children\": [{\n\t\t\t\t\"type\": \"element\", \"tag\": \"tbody\", \"children\": []\n\t\t\t}], \"attributes\": {\n\t\t\t\t\"class\": {\"type\": \"string\", \"value\": \"tc-csv-table\"}\n\t\t\t}\n\t\t}]\n\t}];\n\t// Split the text into lines\n\tvar lines = text.split(/\\r?\\n/mg),\n\t\ttag = \"th\";\n\tfor(var line=0; line<lines.length; line++) {\n\t\tvar lineText = lines[line];\n\t\tif(lineText) {\n\t\t\tvar row = {\n\t\t\t\t\t\"type\": \"element\", \"tag\": \"tr\", \"children\": []\n\t\t\t\t};\n\t\t\tvar columns = lineText.split(\",\");\n\t\t\tfor(var column=0; column<columns.length; column++) {\n\t\t\t\trow.children.push({\n\t\t\t\t\t\t\"type\": \"element\", \"tag\": tag, \"children\": [{\n\t\t\t\t\t\t\t\"type\": \"text\",\n\t\t\t\t\t\t\t\"text\": columns[column]\n\t\t\t\t\t\t}]\n\t\t\t\t\t});\n\t\t\t}\n\t\t\ttag = \"td\";\n\t\t\tthis.tree[0].children[0].children[0].children.push(row);\n\t\t}\n\t}\n};\n\nexports[\"text/csv\"] = CsvParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/csvparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/parsers/htmlparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/htmlparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe HTML parser displays text as raw HTML\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar HtmlParser = function(type,text,options) {\n\tvar src;\n\tif(options._canonical_uri) {\n\t\tsrc = options._canonical_uri;\n\t} else if(text) {\n\t\tsrc = \"data:text/html;charset=utf-8,\" + encodeURIComponent(text);\n\t}\n\tthis.tree = [{\n\t\ttype: \"element\",\n\t\ttag: \"iframe\",\n\t\tattributes: {\n\t\t\tsrc: {type: \"string\", value: src}\n\t\t}\n\t}];\n};\n\nexports[\"text/html\"] = HtmlParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/htmlparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/parsers/imageparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/imageparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe image parser parses an image into an embeddable HTML element\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar ImageParser = function(type,text,options) {\n\tvar element = {\n\t\t\ttype: \"element\",\n\t\t\ttag: \"img\",\n\t\t\tattributes: {}\n\t\t},\n\t\tsrc;\n\tif(options._canonical_uri) {\n\t\telement.attributes.src = {type: \"string\", value: options._canonical_uri};\n\t\tif(type === \"application/pdf\" || type === \".pdf\") {\n\t\t\telement.tag = \"embed\";\n\t\t}\n\t} else if(text) {\n\t\tif(type === \"application/pdf\" || type === \".pdf\") {\n\t\t\telement.attributes.src = {type: \"string\", value: \"data:application/pdf;base64,\" + text};\n\t\t\telement.tag = \"embed\";\n\t\t} else if(type === \"image/svg+xml\" || type === \".svg\") {\n\t\t\telement.attributes.src = {type: \"string\", value: \"data:image/svg+xml,\" + encodeURIComponent(text)};\n\t\t} else {\n\t\t\telement.attributes.src = {type: \"string\", value: \"data:\" + type + \";base64,\" + text};\n\t\t}\n\t}\n\tthis.tree = [element];\n};\n\nexports[\"image/svg+xml\"] = ImageParser;\nexports[\"image/jpg\"] = ImageParser;\nexports[\"image/jpeg\"] = ImageParser;\nexports[\"image/png\"] = ImageParser;\nexports[\"image/gif\"] = ImageParser;\nexports[\"application/pdf\"] = ImageParser;\nexports[\"image/x-icon\"] = ImageParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/imageparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/utils/parseutils.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/parseutils.js\ntype: application/javascript\nmodule-type: utils\n\nUtility functions concerned with parsing text into tokens.\n\nMost functions have the following pattern:\n\n* The parameters are:\n** `source`: the source string being parsed\n** `pos`: the current parse position within the string\n** Any further parameters are used to identify the token that is being parsed\n* The return value is:\n** null if the token was not found at the specified position\n** an object representing the token with the following standard fields:\n*** `type`: string indicating the type of the token\n*** `start`: start position of the token in the source string\n*** `end`: end position of the token in the source string\n*** Any further fields required to describe the token\n\nThe exception is `skipWhiteSpace`, which just returns the position after the whitespace.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nLook for a whitespace token. Returns null if not found, otherwise returns {type: \"whitespace\", start:, end:,}\n*/\nexports.parseWhiteSpace = function(source,pos) {\n\tvar node = {\n\t\ttype: \"whitespace\",\n\t\tstart: pos\n\t};\n\tvar re = /(\\s)+/g;\n\tre.lastIndex = pos;\n\tvar match = re.exec(source);\n\tif(match && match.index === pos) {\n\t\tnode.end = pos + match[0].length;\n\t\treturn node;\n\t}\n\treturn null;\n};\n\n/*\nConvenience wrapper for parseWhiteSpace. Returns the position after the whitespace\n*/\nexports.skipWhiteSpace = function(source,pos) {\n\tvar whitespace = $tw.utils.parseWhiteSpace(source,pos);\n\tif(whitespace) {\n\t\treturn whitespace.end;\n\t}\n\treturn pos;\n};\n\n/*\nLook for a given string token. Returns null if not found, otherwise returns {type: \"token\", value:, start:, end:,}\n*/\nexports.parseTokenString = function(source,pos,token) {\n\tvar match = source.indexOf(token,pos) === pos;\n\tif(match) {\n\t\treturn {\n\t\t\ttype: \"token\",\n\t\t\tvalue: token,\n\t\t\tstart: pos,\n\t\t\tend: pos + token.length\n\t\t};\n\t}\n\treturn null;\n};\n\n/*\nLook for a token matching a regex. Returns null if not found, otherwise returns {type: \"regexp\", match:, start:, end:,}\n*/\nexports.parseTokenRegExp = function(source,pos,reToken) {\n\tvar node = {\n\t\ttype: \"regexp\",\n\t\tstart: pos\n\t};\n\treToken.lastIndex = pos;\n\tnode.match = reToken.exec(source);\n\tif(node.match && node.match.index === pos) {\n\t\tnode.end = pos + node.match[0].length;\n\t\treturn node;\n\t} else {\n\t\treturn null;\n\t}\n};\n\n/*\nLook for a string literal. Returns null if not found, otherwise returns {type: \"string\", value:, start:, end:,}\n*/\nexports.parseStringLiteral = function(source,pos) {\n\tvar node = {\n\t\ttype: \"string\",\n\t\tstart: pos\n\t};\n\tvar reString = /(?:\"\"\"([\\s\\S]*?)\"\"\"|\"([^\"]*)\")|(?:'([^']*)')/g;\n\treString.lastIndex = pos;\n\tvar match = reString.exec(source);\n\tif(match && match.index === pos) {\n\t\tnode.value = match[1] !== undefined ? match[1] :(\n\t\t\tmatch[2] !== undefined ? match[2] : match[3] \n\t\t\t\t\t);\n\t\tnode.end = pos + match[0].length;\n\t\treturn node;\n\t} else {\n\t\treturn null;\n\t}\n};\n\n/*\nLook for a macro invocation parameter. Returns null if not found, or {type: \"macro-parameter\", name:, value:, start:, end:}\n*/\nexports.parseMacroParameter = function(source,pos) {\n\tvar node = {\n\t\ttype: \"macro-parameter\",\n\t\tstart: pos\n\t};\n\t// Define our regexp\n\tvar reMacroParameter = /(?:([A-Za-z0-9\\-_]+)\\s*:)?(?:\\s*(?:\"\"\"([\\s\\S]*?)\"\"\"|\"([^\"]*)\"|'([^']*)'|\\[\\[([^\\]]*)\\]\\]|([^\\s>\"'=]+)))/g;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for the parameter\n\tvar token = $tw.utils.parseTokenRegExp(source,pos,reMacroParameter);\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Get the parameter details\n\tnode.value = token.match[2] !== undefined ? token.match[2] : (\n\t\t\t\t\ttoken.match[3] !== undefined ? token.match[3] : (\n\t\t\t\t\t\ttoken.match[4] !== undefined ? token.match[4] : (\n\t\t\t\t\t\t\ttoken.match[5] !== undefined ? token.match[5] : (\n\t\t\t\t\t\t\t\ttoken.match[6] !== undefined ? token.match[6] : (\n\t\t\t\t\t\t\t\t\t\"\"\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t)\n\t\t\t\t\t\t)\n\t\t\t\t\t)\n\t\t\t\t);\n\tif(token.match[1]) {\n\t\tnode.name = token.match[1];\n\t}\n\t// Update the end position\n\tnode.end = pos;\n\treturn node;\n};\n\n/*\nLook for a macro invocation. Returns null if not found, or {type: \"macrocall\", name:, parameters:, start:, end:}\n*/\nexports.parseMacroInvocation = function(source,pos) {\n\tvar node = {\n\t\ttype: \"macrocall\",\n\t\tstart: pos,\n\t\tparams: []\n\t};\n\t// Define our regexps\n\tvar reMacroName = /([^\\s>\"'=]+)/g;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for a double less than sign\n\tvar token = $tw.utils.parseTokenString(source,pos,\"<<\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Get the macro name\n\tvar name = $tw.utils.parseTokenRegExp(source,pos,reMacroName);\n\tif(!name) {\n\t\treturn null;\n\t}\n\tnode.name = name.match[1];\n\tpos = name.end;\n\t// Process parameters\n\tvar parameter = $tw.utils.parseMacroParameter(source,pos);\n\twhile(parameter) {\n\t\tnode.params.push(parameter);\n\t\tpos = parameter.end;\n\t\t// Get the next parameter\n\t\tparameter = $tw.utils.parseMacroParameter(source,pos);\n\t}\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for a double greater than sign\n\ttoken = $tw.utils.parseTokenString(source,pos,\">>\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Update the end position\n\tnode.end = pos;\n\treturn node;\n};\n\n/*\nLook for an HTML attribute definition. Returns null if not found, otherwise returns {type: \"attribute\", name:, valueType: \"string|indirect|macro\", value:, start:, end:,}\n*/\nexports.parseAttribute = function(source,pos) {\n\tvar node = {\n\t\tstart: pos\n\t};\n\t// Define our regexps\n\tvar reAttributeName = /([^\\/\\s>\"'=]+)/g,\n\t\treUnquotedAttribute = /([^\\/\\s<>\"'=]+)/g,\n\t\treIndirectValue = /\\{\\{([^\\}]+)\\}\\}/g;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Get the attribute name\n\tvar name = $tw.utils.parseTokenRegExp(source,pos,reAttributeName);\n\tif(!name) {\n\t\treturn null;\n\t}\n\tnode.name = name.match[1];\n\tpos = name.end;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for an equals sign\n\tvar token = $tw.utils.parseTokenString(source,pos,\"=\");\n\tif(token) {\n\t\tpos = token.end;\n\t\t// Skip whitespace\n\t\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t\t// Look for a string literal\n\t\tvar stringLiteral = $tw.utils.parseStringLiteral(source,pos);\n\t\tif(stringLiteral) {\n\t\t\tpos = stringLiteral.end;\n\t\t\tnode.type = \"string\";\n\t\t\tnode.value = stringLiteral.value;\n\t\t} else {\n\t\t\t// Look for an indirect value\n\t\t\tvar indirectValue = $tw.utils.parseTokenRegExp(source,pos,reIndirectValue);\n\t\t\tif(indirectValue) {\n\t\t\t\tpos = indirectValue.end;\n\t\t\t\tnode.type = \"indirect\";\n\t\t\t\tnode.textReference = indirectValue.match[1];\n\t\t\t} else {\n\t\t\t\t// Look for a unquoted value\n\t\t\t\tvar unquotedValue = $tw.utils.parseTokenRegExp(source,pos,reUnquotedAttribute);\n\t\t\t\tif(unquotedValue) {\n\t\t\t\t\tpos = unquotedValue.end;\n\t\t\t\t\tnode.type = \"string\";\n\t\t\t\t\tnode.value = unquotedValue.match[1];\n\t\t\t\t} else {\n\t\t\t\t\t// Look for a macro invocation value\n\t\t\t\t\tvar macroInvocation = $tw.utils.parseMacroInvocation(source,pos);\n\t\t\t\t\tif(macroInvocation) {\n\t\t\t\t\t\tpos = macroInvocation.end;\n\t\t\t\t\t\tnode.type = \"macro\";\n\t\t\t\t\t\tnode.value = macroInvocation;\n\t\t\t\t\t} else {\n\t\t\t\t\t\tnode.type = \"string\";\n\t\t\t\t\t\tnode.value = \"true\";\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t} else {\n\t\tnode.type = \"string\";\n\t\tnode.value = \"true\";\n\t}\n\t// Update the end position\n\tnode.end = pos;\n\treturn node;\n};\n\n})();\n",
"title": "$:/core/modules/utils/parseutils.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/parsers/textparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/textparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe plain text parser processes blocks of source text into a degenerate parse tree consisting of a single text node\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar TextParser = function(type,text,options) {\n\tthis.tree = [{\n\t\ttype: \"codeblock\",\n\t\tattributes: {\n\t\t\tcode: {type: \"string\", value: text},\n\t\t\tlanguage: {type: \"string\", value: type}\n\t\t}\n\t}];\n};\n\nexports[\"text/plain\"] = TextParser;\nexports[\"text/x-tiddlywiki\"] = TextParser;\nexports[\"application/javascript\"] = TextParser;\nexports[\"application/json\"] = TextParser;\nexports[\"text/css\"] = TextParser;\nexports[\"application/x-tiddler-dictionary\"] = TextParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/textparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/parsers/wikiparser/rules/codeblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/codeblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for code blocks. For example:\n\n```\n\t```\n\tThis text will not be //wikified//\n\t```\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"codeblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match and get language if defined\n\tthis.matchRegExp = /```([\\w-]*)\\r?\\n/mg;\n};\n\nexports.parse = function() {\n\tvar reEnd = /(\\r?\\n```$)/mg;\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Look for the end of the block\n\treEnd.lastIndex = this.parser.pos;\n\tvar match = reEnd.exec(this.parser.source),\n\t\ttext;\n\t// Process the block\n\tif(match) {\n\t\ttext = this.parser.source.substring(this.parser.pos,match.index);\n\t\tthis.parser.pos = match.index + match[0].length;\n\t} else {\n\t\ttext = this.parser.source.substr(this.parser.pos);\n\t\tthis.parser.pos = this.parser.sourceLength;\n\t}\n\t// Return the $codeblock widget\n\treturn [{\n\t\t\ttype: \"codeblock\",\n\t\t\tattributes: {\n\t\t\t\t\tcode: {type: \"string\", value: text},\n\t\t\t\t\tlanguage: {type: \"string\", value: this.match[1]}\n\t\t\t}\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/codeblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/codeinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/codeinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for code runs. For example:\n\n```\n\tThis is a `code run`.\n\tThis is another ``code run``\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"codeinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /(``?)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\tvar reEnd = new RegExp(this.match[1], \"mg\");\n\t// Look for the end marker\n\treEnd.lastIndex = this.parser.pos;\n\tvar match = reEnd.exec(this.parser.source),\n\t\ttext;\n\t// Process the text\n\tif(match) {\n\t\ttext = this.parser.source.substring(this.parser.pos,match.index);\n\t\tthis.parser.pos = match.index + match[0].length;\n\t} else {\n\t\ttext = this.parser.source.substr(this.parser.pos);\n\t\tthis.parser.pos = this.parser.sourceLength;\n\t}\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"code\",\n\t\tchildren: [{\n\t\t\ttype: \"text\",\n\t\t\ttext: text\n\t\t}]\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/codeinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/commentblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/commentblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for HTML comments. For example:\n\n```\n<!-- This is a comment -->\n```\n\nNote that the syntax for comments is simplified to an opening \"<!--\" sequence and a closing \"-->\" sequence -- HTML itself implements a more complex format (see http://ostermiller.org/findhtmlcomment.html)\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"commentblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\tthis.matchRegExp = /<!--/mg;\n\tthis.endMatchRegExp = /-->/mg;\n};\n\nexports.findNextMatch = function(startPos) {\n\tthis.matchRegExp.lastIndex = startPos;\n\tthis.match = this.matchRegExp.exec(this.parser.source);\n\tif(this.match) {\n\t\tthis.endMatchRegExp.lastIndex = startPos + this.match[0].length;\n\t\tthis.endMatch = this.endMatchRegExp.exec(this.parser.source);\n\t\tif(this.endMatch) {\n\t\t\treturn this.match.index;\n\t\t}\n\t}\n\treturn undefined;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.endMatchRegExp.lastIndex;\n\t// Don't return any elements\n\treturn [];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/commentblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/commentinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/commentinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for HTML comments. For example:\n\n```\n<!-- This is a comment -->\n```\n\nNote that the syntax for comments is simplified to an opening \"<!--\" sequence and a closing \"-->\" sequence -- HTML itself implements a more complex format (see http://ostermiller.org/findhtmlcomment.html)\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"commentinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\tthis.matchRegExp = /<!--/mg;\n\tthis.endMatchRegExp = /-->/mg;\n};\n\nexports.findNextMatch = function(startPos) {\n\tthis.matchRegExp.lastIndex = startPos;\n\tthis.match = this.matchRegExp.exec(this.parser.source);\n\tif(this.match) {\n\t\tthis.endMatchRegExp.lastIndex = startPos + this.match[0].length;\n\t\tthis.endMatch = this.endMatchRegExp.exec(this.parser.source);\n\t\tif(this.endMatch) {\n\t\t\treturn this.match.index;\n\t\t}\n\t}\n\treturn undefined;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.endMatchRegExp.lastIndex;\n\t// Don't return any elements\n\treturn [];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/commentinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/dash.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/dash.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for dashes. For example:\n\n```\nThis is an en-dash: --\n\nThis is an em-dash: ---\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"dash\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /-{2,3}(?!-)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\tvar dash = this.match[0].length === 2 ? \"–\" : \"—\";\n\treturn [{\n\t\ttype: \"entity\",\n\t\tentity: dash\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/dash.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/bold.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/bold.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - bold. For example:\n\n```\n\tThis is ''bold'' text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except bold \n\\rules only bold \n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"bold\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /''/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/''/mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"strong\",\n\t\tchildren: tree\n\t}];\n};\n\n})();",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/bold.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/italic.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/italic.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - italic. For example:\n\n```\n\tThis is //italic// text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except italic\n\\rules only italic\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"italic\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\/\\//mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/\\/\\//mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"em\",\n\t\tchildren: tree\n\t}];\n};\n\n})();",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/italic.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/strikethrough.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/strikethrough.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - strikethrough. For example:\n\n```\n\tThis is ~~strikethrough~~ text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except strikethrough \n\\rules only strikethrough \n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"strikethrough\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /~~/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/~~/mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"strike\",\n\t\tchildren: tree\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/strikethrough.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/subscript.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/subscript.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - subscript. For example:\n\n```\n\tThis is ,,subscript,, text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except subscript \n\\rules only subscript \n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"subscript\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /,,/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/,,/mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"sub\",\n\t\tchildren: tree\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/subscript.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/superscript.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/superscript.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - superscript. For example:\n\n```\n\tThis is ^^superscript^^ text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except superscript \n\\rules only superscript \n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"superscript\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\^\\^/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/\\^\\^/mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"sup\",\n\t\tchildren: tree\n\t}];\n};\n\n})();",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/superscript.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/emphasis/underscore.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/emphasis/underscore.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for emphasis - underscore. For example:\n\n```\n\tThis is __underscore__ text\n```\n\nThis wikiparser can be modified using the rules eg:\n\n```\n\\rules except underscore \n\\rules only underscore\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"underscore\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /__/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\n\t// Parse the run including the terminator\n\tvar tree = this.parser.parseInlineRun(/__/mg,{eatTerminator: true});\n\n\t// Return the classed span\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"u\",\n\t\tchildren: tree\n\t}];\n};\n\n})();",
"title": "$:/core/modules/parsers/wikiparser/rules/emphasis/underscore.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/entity.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/entity.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for HTML entities. For example:\n\n```\n\tThis is a copyright symbol: ©\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"entity\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /(&#?[a-zA-Z0-9]{2,8};)/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Get all the details of the match\n\tvar entityString = this.match[1];\n\t// Move past the macro call\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Return the entity\n\treturn [{type: \"entity\", entity: this.match[0]}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/entity.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/extlink.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/extlink.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for external links. For example:\n\n```\nAn external link: http://www.tiddlywiki.com/\n\nA suppressed external link: ~http://www.tiddlyspace.com/\n```\n\nExternal links can be suppressed by preceding them with `~`.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"extlink\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /~?(?:file|http|https|mailto|ftp|irc|news|data|skype):[^\\s<>{}\\[\\]`|'\"\\\\^~]+(?:\\/|\\b)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Create the link unless it is suppressed\n\tif(this.match[0].substr(0,1) === \"~\") {\n\t\treturn [{type: \"text\", text: this.match[0].substr(1)}];\n\t} else {\n\t\treturn [{\n\t\t\ttype: \"element\",\n\t\t\ttag: \"a\",\n\t\t\tattributes: {\n\t\t\t\thref: {type: \"string\", value: this.match[0]},\n\t\t\t\t\"class\": {type: \"string\", value: \"tc-tiddlylink-external\"},\n\t\t\t\ttarget: {type: \"string\", value: \"_blank\"}\n\t\t\t},\n\t\t\tchildren: [{\n\t\t\t\ttype: \"text\", text: this.match[0]\n\t\t\t}]\n\t\t}];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/extlink.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/filteredtranscludeblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/filteredtranscludeblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for block-level filtered transclusion. For example:\n\n```\n{{{ [tag[docs]] }}}\n{{{ [tag[docs]] |tooltip}}}\n{{{ [tag[docs]] ||TemplateTitle}}}\n{{{ [tag[docs]] |tooltip||TemplateTitle}}}\n{{{ [tag[docs]] }}width:40;height:50;}.class.class\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"filteredtranscludeblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\{\\{\\{([^\\|]+?)(?:\\|([^\\|\\{\\}]+))?(?:\\|\\|([^\\|\\{\\}]+))?\\}\\}([^\\}]*)\\}(?:\\.(\\S+))?(?:\\r?\\n|$)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Get the match details\n\tvar filter = this.match[1],\n\t\ttooltip = this.match[2],\n\t\ttemplate = $tw.utils.trim(this.match[3]),\n\t\tstyle = this.match[4],\n\t\tclasses = this.match[5];\n\t// Return the list widget\n\tvar node = {\n\t\ttype: \"list\",\n\t\tattributes: {\n\t\t\tfilter: {type: \"string\", value: filter}\n\t\t},\n\t\tisBlock: true\n\t};\n\tif(tooltip) {\n\t\tnode.attributes.tooltip = {type: \"string\", value: tooltip};\n\t}\n\tif(template) {\n\t\tnode.attributes.template = {type: \"string\", value: template};\n\t}\n\tif(style) {\n\t\tnode.attributes.style = {type: \"string\", value: style};\n\t}\n\tif(classes) {\n\t\tnode.attributes.itemClass = {type: \"string\", value: classes.split(\".\").join(\" \")};\n\t}\n\treturn [node];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/filteredtranscludeblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/filteredtranscludeinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/filteredtranscludeinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for inline filtered transclusion. For example:\n\n```\n{{{ [tag[docs]] }}}\n{{{ [tag[docs]] |tooltip}}}\n{{{ [tag[docs]] ||TemplateTitle}}}\n{{{ [tag[docs]] |tooltip||TemplateTitle}}}\n{{{ [tag[docs]] }}width:40;height:50;}.class.class\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"filteredtranscludeinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\{\\{\\{([^\\|]+?)(?:\\|([^\\|\\{\\}]+))?(?:\\|\\|([^\\|\\{\\}]+))?\\}\\}([^\\}]*)\\}(?:\\.(\\S+))?/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Get the match details\n\tvar filter = this.match[1],\n\t\ttooltip = this.match[2],\n\t\ttemplate = $tw.utils.trim(this.match[3]),\n\t\tstyle = this.match[4],\n\t\tclasses = this.match[5];\n\t// Return the list widget\n\tvar node = {\n\t\ttype: \"list\",\n\t\tattributes: {\n\t\t\tfilter: {type: \"string\", value: filter}\n\t\t}\n\t};\n\tif(tooltip) {\n\t\tnode.attributes.tooltip = {type: \"string\", value: tooltip};\n\t}\n\tif(template) {\n\t\tnode.attributes.template = {type: \"string\", value: template};\n\t}\n\tif(style) {\n\t\tnode.attributes.style = {type: \"string\", value: style};\n\t}\n\tif(classes) {\n\t\tnode.attributes.itemClass = {type: \"string\", value: classes.split(\".\").join(\" \")};\n\t}\n\treturn [node];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/filteredtranscludeinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/hardlinebreaks.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/hardlinebreaks.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for marking areas with hard line breaks. For example:\n\n```\n\"\"\"\nThis is some text\nThat is set like\nIt is a Poem\nWhen it is\nClearly\nNot\n\"\"\"\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"hardlinebreaks\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\"\"\"(?:\\r?\\n)?/mg;\n};\n\nexports.parse = function() {\n\tvar reEnd = /(\"\"\")|(\\r?\\n)/mg,\n\t\ttree = [],\n\t\tmatch;\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\tdo {\n\t\t// Parse the run up to the terminator\n\t\ttree.push.apply(tree,this.parser.parseInlineRun(reEnd,{eatTerminator: false}));\n\t\t// Redo the terminator match\n\t\treEnd.lastIndex = this.parser.pos;\n\t\tmatch = reEnd.exec(this.parser.source);\n\t\tif(match) {\n\t\t\tthis.parser.pos = reEnd.lastIndex;\n\t\t\t// Add a line break if the terminator was a line break\n\t\t\tif(match[2]) {\n\t\t\t\ttree.push({type: \"element\", tag: \"br\"});\n\t\t\t}\n\t\t}\n\t} while(match && !match[1]);\n\t// Return the nodes\n\treturn tree;\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/hardlinebreaks.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/heading.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/heading.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for headings\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"heading\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /(!{1,6})/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Get all the details of the match\n\tvar headingLevel = this.match[1].length;\n\t// Move past the !s\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Parse any classes, whitespace and then the heading itself\n\tvar classes = this.parser.parseClasses();\n\tthis.parser.skipWhitespace({treatNewlinesAsNonWhitespace: true});\n\tvar tree = this.parser.parseInlineRun(/(\\r?\\n)/mg);\n\t// Return the heading\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"h\" + headingLevel, \n\t\tattributes: {\n\t\t\t\"class\": {type: \"string\", value: classes.join(\" \")}\n\t\t},\n\t\tchildren: tree\n\t}];\n};\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/heading.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/horizrule.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/horizrule.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for rules. For example:\n\n```\n---\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"horizrule\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /-{3,}\\r?(?:\\n|$)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\treturn [{type: \"element\", tag: \"hr\"}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/horizrule.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/html.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/html.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki rule for HTML elements and widgets. For example:\n\n{{{\n<aside>\nThis is an HTML5 aside element\n</aside>\n\n<$slider target=\"MyTiddler\">\nThis is a widget invocation\n</$slider>\n\n}}}\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"html\";\nexports.types = {inline: true, block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n};\n\nexports.findNextMatch = function(startPos) {\n\t// Find the next tag\n\tthis.nextTag = this.findNextTag(this.parser.source,startPos,{\n\t\trequireLineBreak: this.is.block\n\t});\n\treturn this.nextTag ? this.nextTag.start : undefined;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Retrieve the most recent match so that recursive calls don't overwrite it\n\tvar tag = this.nextTag;\n\tthis.nextTag = null;\n\t// Advance the parser position to past the tag\n\tthis.parser.pos = tag.end;\n\t// Check for an immediately following double linebreak\n\tvar hasLineBreak = !tag.isSelfClosing && !!$tw.utils.parseTokenRegExp(this.parser.source,this.parser.pos,/([^\\S\\n\\r]*\\r?\\n(?:[^\\S\\n\\r]*\\r?\\n|$))/g);\n\t// Set whether we're in block mode\n\ttag.isBlock = this.is.block || hasLineBreak;\n\t// Parse the body if we need to\n\tif(!tag.isSelfClosing && $tw.config.htmlVoidElements.indexOf(tag.tag) === -1) {\n\t\t\tvar reEndString = \"</\" + $tw.utils.escapeRegExp(tag.tag) + \">\",\n\t\t\t\treEnd = new RegExp(\"(\" + reEndString + \")\",\"mg\");\n\t\tif(hasLineBreak) {\n\t\t\ttag.children = this.parser.parseBlocks(reEndString);\n\t\t} else {\n\t\t\ttag.children = this.parser.parseInlineRun(reEnd);\n\t\t}\n\t\treEnd.lastIndex = this.parser.pos;\n\t\tvar endMatch = reEnd.exec(this.parser.source);\n\t\tif(endMatch && endMatch.index === this.parser.pos) {\n\t\t\tthis.parser.pos = endMatch.index + endMatch[0].length;\n\t\t}\n\t}\n\t// Return the tag\n\treturn [tag];\n};\n\n/*\nLook for an HTML tag. Returns null if not found, otherwise returns {type: \"element\", name:, attributes: [], isSelfClosing:, start:, end:,}\n*/\nexports.parseTag = function(source,pos,options) {\n\toptions = options || {};\n\tvar token,\n\t\tnode = {\n\t\t\ttype: \"element\",\n\t\t\tstart: pos,\n\t\t\tattributes: {}\n\t\t};\n\t// Define our regexps\n\tvar reTagName = /([a-zA-Z0-9\\-\\$]+)/g;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for a less than sign\n\ttoken = $tw.utils.parseTokenString(source,pos,\"<\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Get the tag name\n\ttoken = $tw.utils.parseTokenRegExp(source,pos,reTagName);\n\tif(!token) {\n\t\treturn null;\n\t}\n\tnode.tag = token.match[1];\n\tif(node.tag.charAt(0) === \"$\") {\n\t\tnode.type = node.tag.substr(1);\n\t}\n\tpos = token.end;\n\t// Process attributes\n\tvar attribute = $tw.utils.parseAttribute(source,pos);\n\twhile(attribute) {\n\t\tnode.attributes[attribute.name] = attribute;\n\t\tpos = attribute.end;\n\t\t// Get the next attribute\n\t\tattribute = $tw.utils.parseAttribute(source,pos);\n\t}\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for a closing slash\n\ttoken = $tw.utils.parseTokenString(source,pos,\"/\");\n\tif(token) {\n\t\tpos = token.end;\n\t\tnode.isSelfClosing = true;\n\t}\n\t// Look for a greater than sign\n\ttoken = $tw.utils.parseTokenString(source,pos,\">\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Check for a required line break\n\tif(options.requireLineBreak) {\n\t\ttoken = $tw.utils.parseTokenRegExp(source,pos,/([^\\S\\n\\r]*\\r?\\n(?:[^\\S\\n\\r]*\\r?\\n|$))/g);\n\t\tif(!token) {\n\t\t\treturn null;\n\t\t}\n\t}\n\t// Update the end position\n\tnode.end = pos;\n\treturn node;\n};\n\nexports.findNextTag = function(source,pos,options) {\n\t// A regexp for finding candidate HTML tags\n\tvar reLookahead = /<([a-zA-Z\\-\\$]+)/g;\n\t// Find the next candidate\n\treLookahead.lastIndex = pos;\n\tvar match = reLookahead.exec(source);\n\twhile(match) {\n\t\t// Try to parse the candidate as a tag\n\t\tvar tag = this.parseTag(source,match.index,options);\n\t\t// Return success\n\t\tif(tag && this.isLegalTag(tag)) {\n\t\t\treturn tag;\n\t\t}\n\t\t// Look for the next match\n\t\treLookahead.lastIndex = match.index + 1;\n\t\tmatch = reLookahead.exec(source);\n\t}\n\t// Failed\n\treturn null;\n};\n\nexports.isLegalTag = function(tag) {\n\t// Widgets are always OK\n\tif(tag.type !== \"element\") {\n\t\treturn true;\n\t// If it's an HTML tag that starts with a dash then it's not legal\n\t} else if(tag.tag.charAt(0) === \"-\") {\n\t\treturn false;\n\t} else {\n\t\t// Otherwise it's OK\n\t\treturn true;\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/html.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/image.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/image.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for embedding images. For example:\n\n```\n[img[http://tiddlywiki.com/fractalveg.jpg]]\n[img width=23 height=24 [http://tiddlywiki.com/fractalveg.jpg]]\n[img width={{!!width}} height={{!!height}} [http://tiddlywiki.com/fractalveg.jpg]]\n[img[Description of image|http://tiddlywiki.com/fractalveg.jpg]]\n[img[TiddlerTitle]]\n[img[Description of image|TiddlerTitle]]\n```\n\nGenerates the `<$image>` widget.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"image\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n};\n\nexports.findNextMatch = function(startPos) {\n\t// Find the next tag\n\tthis.nextImage = this.findNextImage(this.parser.source,startPos);\n\treturn this.nextImage ? this.nextImage.start : undefined;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.nextImage.end;\n\tvar node = {\n\t\ttype: \"image\",\n\t\tattributes: this.nextImage.attributes\n\t};\n\treturn [node];\n};\n\n/*\nFind the next image from the current position\n*/\nexports.findNextImage = function(source,pos) {\n\t// A regexp for finding candidate HTML tags\n\tvar reLookahead = /(\\[img)/g;\n\t// Find the next candidate\n\treLookahead.lastIndex = pos;\n\tvar match = reLookahead.exec(source);\n\twhile(match) {\n\t\t// Try to parse the candidate as a tag\n\t\tvar tag = this.parseImage(source,match.index);\n\t\t// Return success\n\t\tif(tag) {\n\t\t\treturn tag;\n\t\t}\n\t\t// Look for the next match\n\t\treLookahead.lastIndex = match.index + 1;\n\t\tmatch = reLookahead.exec(source);\n\t}\n\t// Failed\n\treturn null;\n};\n\n/*\nLook for an image at the specified position. Returns null if not found, otherwise returns {type: \"image\", attributes: [], isSelfClosing:, start:, end:,}\n*/\nexports.parseImage = function(source,pos) {\n\tvar token,\n\t\tnode = {\n\t\t\ttype: \"image\",\n\t\t\tstart: pos,\n\t\t\tattributes: {}\n\t\t};\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for the `[img`\n\ttoken = $tw.utils.parseTokenString(source,pos,\"[img\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Process attributes\n\tif(source.charAt(pos) !== \"[\") {\n\t\tvar attribute = $tw.utils.parseAttribute(source,pos);\n\t\twhile(attribute) {\n\t\t\tnode.attributes[attribute.name] = attribute;\n\t\t\tpos = attribute.end;\n\t\t\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t\t\tif(source.charAt(pos) !== \"[\") {\n\t\t\t\t// Get the next attribute\n\t\t\t\tattribute = $tw.utils.parseAttribute(source,pos);\n\t\t\t} else {\n\t\t\t\tattribute = null;\n\t\t\t}\n\t\t}\n\t}\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for the `[` after the attributes\n\ttoken = $tw.utils.parseTokenString(source,pos,\"[\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Get the source up to the terminating `]]`\n\ttoken = $tw.utils.parseTokenRegExp(source,pos,/(?:([^|\\]]*?)\\|)?([^\\]]+?)\\]\\]/g);\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\tif(token.match[1]) {\n\t\tnode.attributes.tooltip = {type: \"string\", value: token.match[1].trim()};\n\t}\n\tnode.attributes.source = {type: \"string\", value: (token.match[2] || \"\").trim()};\n\t// Update the end position\n\tnode.end = pos;\n\treturn node;\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/image.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/list.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/list.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for lists. For example:\n\n```\n* This is an unordered list\n* It has two items\n\n# This is a numbered list\n## With a subitem\n# And a third item\n\n; This is a term that is being defined\n: This is the definition of that term\n```\n\nNote that lists can be nested arbitrarily:\n\n```\n#** One\n#* Two\n#** Three\n#**** Four\n#**# Five\n#**## Six\n## Seven\n### Eight\n## Nine\n```\n\nA CSS class can be applied to a list item as follows:\n\n```\n* List item one\n*.active List item two has the class `active`\n* List item three\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"list\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /([\\*#;:>]+)/mg;\n};\n\nvar listTypes = {\n\t\"*\": {listTag: \"ul\", itemTag: \"li\"},\n\t\"#\": {listTag: \"ol\", itemTag: \"li\"},\n\t\";\": {listTag: \"dl\", itemTag: \"dt\"},\n\t\":\": {listTag: \"dl\", itemTag: \"dd\"},\n\t\">\": {listTag: \"blockquote\", itemTag: \"p\"}\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Array of parse tree nodes for the previous row of the list\n\tvar listStack = [];\n\t// Cycle through the items in the list\n\twhile(true) {\n\t\t// Match the list marker\n\t\tvar reMatch = /([\\*#;:>]+)/mg;\n\t\treMatch.lastIndex = this.parser.pos;\n\t\tvar match = reMatch.exec(this.parser.source);\n\t\tif(!match || match.index !== this.parser.pos) {\n\t\t\tbreak;\n\t\t}\n\t\t// Check whether the list type of the top level matches\n\t\tvar listInfo = listTypes[match[0].charAt(0)];\n\t\tif(listStack.length > 0 && listStack[0].tag !== listInfo.listTag) {\n\t\t\tbreak;\n\t\t}\n\t\t// Move past the list marker\n\t\tthis.parser.pos = match.index + match[0].length;\n\t\t// Walk through the list markers for the current row\n\t\tfor(var t=0; t<match[0].length; t++) {\n\t\t\tlistInfo = listTypes[match[0].charAt(t)];\n\t\t\t// Remove any stacked up element if we can't re-use it because the list type doesn't match\n\t\t\tif(listStack.length > t && listStack[t].tag !== listInfo.listTag) {\n\t\t\t\tlistStack.splice(t,listStack.length - t);\n\t\t\t}\n\t\t\t// Construct the list element or reuse the previous one at this level\n\t\t\tif(listStack.length <= t) {\n\t\t\t\tvar listElement = {type: \"element\", tag: listInfo.listTag, children: [\n\t\t\t\t\t{type: \"element\", tag: listInfo.itemTag, children: []}\n\t\t\t\t]};\n\t\t\t\t// Link this list element into the last child item of the parent list item\n\t\t\t\tif(t) {\n\t\t\t\t\tvar prevListItem = listStack[t-1].children[listStack[t-1].children.length-1];\n\t\t\t\t\tprevListItem.children.push(listElement);\n\t\t\t\t}\n\t\t\t\t// Save this element in the stack\n\t\t\t\tlistStack[t] = listElement;\n\t\t\t} else if(t === (match[0].length - 1)) {\n\t\t\t\tlistStack[t].children.push({type: \"element\", tag: listInfo.itemTag, children: []});\n\t\t\t}\n\t\t}\n\t\tif(listStack.length > match[0].length) {\n\t\t\tlistStack.splice(match[0].length,listStack.length - match[0].length);\n\t\t}\n\t\t// Process the body of the list item into the last list item\n\t\tvar lastListChildren = listStack[listStack.length-1].children,\n\t\t\tlastListItem = lastListChildren[lastListChildren.length-1],\n\t\t\tclasses = this.parser.parseClasses();\n\t\tthis.parser.skipWhitespace({treatNewlinesAsNonWhitespace: true});\n\t\tvar tree = this.parser.parseInlineRun(/(\\r?\\n)/mg);\n\t\tlastListItem.children.push.apply(lastListItem.children,tree);\n\t\tif(classes.length > 0) {\n\t\t\t$tw.utils.addClassToParseTreeNode(lastListItem,classes.join(\" \"));\n\t\t}\n\t\t// Consume any whitespace following the list item\n\t\tthis.parser.skipWhitespace();\n\t}\n\t// Return the root element of the list\n\treturn [listStack[0]];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/list.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/macrocallblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/macrocallblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki rule for block macro calls\n\n```\n<<name value value2>>\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"macrocallblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /<<([^>\\s]+)(?:\\s*)((?:[^>]|(?:>(?!>)))*?)>>(?:\\r?\\n|$)/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Get all the details of the match\n\tvar macroName = this.match[1],\n\t\tparamString = this.match[2];\n\t// Move past the macro call\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\tvar params = [],\n\t\treParam = /\\s*(?:([A-Za-z0-9\\-_]+)\\s*:)?(?:\\s*(?:\"\"\"([\\s\\S]*?)\"\"\"|\"([^\"]*)\"|'([^']*)'|\\[\\[([^\\]]*)\\]\\]|([^\"'\\s]+)))/mg,\n\t\tparamMatch = reParam.exec(paramString);\n\twhile(paramMatch) {\n\t\t// Process this parameter\n\t\tvar paramInfo = {\n\t\t\tvalue: paramMatch[2] || paramMatch[3] || paramMatch[4] || paramMatch[5] || paramMatch[6]\n\t\t};\n\t\tif(paramMatch[1]) {\n\t\t\tparamInfo.name = paramMatch[1];\n\t\t}\n\t\tparams.push(paramInfo);\n\t\t// Find the next match\n\t\tparamMatch = reParam.exec(paramString);\n\t}\n\treturn [{\n\t\ttype: \"macrocall\",\n\t\tname: macroName,\n\t\tparams: params,\n\t\tisBlock: true\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/macrocallblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/macrocallinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/macrocallinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki rule for macro calls\n\n```\n<<name value value2>>\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"macrocallinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /<<([^\\s>]+)\\s*([\\s\\S]*?)>>/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Get all the details of the match\n\tvar macroName = this.match[1],\n\t\tparamString = this.match[2];\n\t// Move past the macro call\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\tvar params = [],\n\t\treParam = /\\s*(?:([A-Za-z0-9\\-_]+)\\s*:)?(?:\\s*(?:\"\"\"([\\s\\S]*?)\"\"\"|\"([^\"]*)\"|'([^']*)'|\\[\\[([^\\]]*)\\]\\]|([^\"'\\s]+)))/mg,\n\t\tparamMatch = reParam.exec(paramString);\n\twhile(paramMatch) {\n\t\t// Process this parameter\n\t\tvar paramInfo = {\n\t\t\tvalue: paramMatch[2] || paramMatch[3] || paramMatch[4] || paramMatch[5]|| paramMatch[6]\n\t\t};\n\t\tif(paramMatch[1]) {\n\t\t\tparamInfo.name = paramMatch[1];\n\t\t}\n\t\tparams.push(paramInfo);\n\t\t// Find the next match\n\t\tparamMatch = reParam.exec(paramString);\n\t}\n\treturn [{\n\t\ttype: \"macrocall\",\n\t\tname: macroName,\n\t\tparams: params\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/macrocallinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/macrodef.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/macrodef.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki pragma rule for macro definitions\n\n```\n\\define name(param:defaultvalue,param2:defaultvalue)\ndefinition text, including $param$ markers\n\\end\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"macrodef\";\nexports.types = {pragma: true};\n\n/*\nInstantiate parse rule\n*/\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /^\\\\define\\s+([^(\\s]+)\\(\\s*([^)]*)\\)(\\s*\\r?\\n)?/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Move past the macro name and parameters\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Parse the parameters\n\tvar paramString = this.match[2],\n\t\tparams = [];\n\tif(paramString !== \"\") {\n\t\tvar reParam = /\\s*([A-Za-z0-9\\-_]+)(?:\\s*:\\s*(?:\"\"\"([\\s\\S]*?)\"\"\"|\"([^\"]*)\"|'([^']*)'|\\[\\[([^\\]]*)\\]\\]|([^\"'\\s]+)))?/mg,\n\t\t\tparamMatch = reParam.exec(paramString);\n\t\twhile(paramMatch) {\n\t\t\t// Save the parameter details\n\t\t\tvar paramInfo = {name: paramMatch[1]},\n\t\t\t\tdefaultValue = paramMatch[2] || paramMatch[3] || paramMatch[4] || paramMatch[5] || paramMatch[6];\n\t\t\tif(defaultValue) {\n\t\t\t\tparamInfo[\"default\"] = defaultValue;\n\t\t\t}\n\t\t\tparams.push(paramInfo);\n\t\t\t// Look for the next parameter\n\t\t\tparamMatch = reParam.exec(paramString);\n\t\t}\n\t}\n\t// Is this a multiline definition?\n\tvar reEnd;\n\tif(this.match[3]) {\n\t\t// If so, the end of the body is marked with \\end\n\t\treEnd = /(\\r?\\n\\\\end[^\\S\\n\\r]*(?:$|\\r?\\n))/mg;\n\t} else {\n\t\t// Otherwise, the end of the definition is marked by the end of the line\n\t\treEnd = /(\\r?\\n)/mg;\n\t\t// Move past any whitespace\n\t\tthis.parser.pos = $tw.utils.skipWhiteSpace(this.parser.source,this.parser.pos);\n\t}\n\t// Find the end of the definition\n\treEnd.lastIndex = this.parser.pos;\n\tvar text,\n\t\tendMatch = reEnd.exec(this.parser.source);\n\tif(endMatch) {\n\t\ttext = this.parser.source.substring(this.parser.pos,endMatch.index);\n\t\tthis.parser.pos = endMatch.index + endMatch[0].length;\n\t} else {\n\t\t// We didn't find the end of the definition, so we'll make it blank\n\t\ttext = \"\";\n\t}\n\t// Save the macro definition\n\treturn [{\n\t\ttype: \"macrodef\",\n\t\tname: this.match[1],\n\t\tparams: params,\n\t\ttext: text\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/macrodef.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/prettyextlink.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/prettyextlink.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for external links. For example:\n\n```\n[ext[http://tiddlywiki.com/fractalveg.jpg]]\n[ext[Tooltip|http://tiddlywiki.com/fractalveg.jpg]]\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"prettyextlink\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n};\n\nexports.findNextMatch = function(startPos) {\n\t// Find the next tag\n\tthis.nextLink = this.findNextLink(this.parser.source,startPos);\n\treturn this.nextLink ? this.nextLink.start : undefined;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.nextLink.end;\n\treturn [this.nextLink];\n};\n\n/*\nFind the next link from the current position\n*/\nexports.findNextLink = function(source,pos) {\n\t// A regexp for finding candidate links\n\tvar reLookahead = /(\\[ext\\[)/g;\n\t// Find the next candidate\n\treLookahead.lastIndex = pos;\n\tvar match = reLookahead.exec(source);\n\twhile(match) {\n\t\t// Try to parse the candidate as a link\n\t\tvar link = this.parseLink(source,match.index);\n\t\t// Return success\n\t\tif(link) {\n\t\t\treturn link;\n\t\t}\n\t\t// Look for the next match\n\t\treLookahead.lastIndex = match.index + 1;\n\t\tmatch = reLookahead.exec(source);\n\t}\n\t// Failed\n\treturn null;\n};\n\n/*\nLook for an link at the specified position. Returns null if not found, otherwise returns {type: \"element\", tag: \"a\", attributes: [], isSelfClosing:, start:, end:,}\n*/\nexports.parseLink = function(source,pos) {\n\tvar token,\n\t\ttextNode = {\n\t\t\ttype: \"text\"\n\t\t},\n\t\tnode = {\n\t\t\ttype: \"element\",\n\t\t\ttag: \"a\",\n\t\t\tstart: pos,\n\t\t\tattributes: {\n\t\t\t\t\"class\": {type: \"string\", value: \"tc-tiddlylink-external\"},\n\t\t\t},\n\t\t\tchildren: [textNode]\n\t\t};\n\t// Skip whitespace\n\tpos = $tw.utils.skipWhiteSpace(source,pos);\n\t// Look for the `[ext[`\n\ttoken = $tw.utils.parseTokenString(source,pos,\"[ext[\");\n\tif(!token) {\n\t\treturn null;\n\t}\n\tpos = token.end;\n\t// Look ahead for the terminating `]]`\n\tvar closePos = source.indexOf(\"]]\",pos);\n\tif(closePos === -1) {\n\t\treturn null;\n\t}\n\t// Look for a `|` separating the tooltip\n\tvar splitPos = source.indexOf(\"|\",pos);\n\tif(splitPos === -1 || splitPos > closePos) {\n\t\tsplitPos = null;\n\t}\n\t// Pull out the tooltip and URL\n\tvar tooltip, URL;\n\tif(splitPos) {\n\t\tURL = source.substring(splitPos + 1,closePos).trim();\n\t\ttextNode.text = source.substring(pos,splitPos).trim();\n\t} else {\n\t\tURL = source.substring(pos,closePos).trim();\n\t\ttextNode.text = URL;\n\t}\n\tnode.attributes.href = {type: \"string\", value: URL};\n\tnode.attributes.target = {type: \"string\", value: \"_blank\"};\n\t// Update the end position\n\tnode.end = closePos + 2;\n\treturn node;\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/prettyextlink.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/prettylink.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/prettylink.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for pretty links. For example:\n\n```\n[[Introduction]]\n\n[[Link description|TiddlerTitle]]\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"prettylink\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\[\\[(.*?)(?:\\|(.*?))?\\]\\]/mg;\n};\n\nvar isLinkExternal = function(to) {\n\tvar externalRegExp = /(?:file|http|https|mailto|ftp|irc|news|data|skype):[^\\s<>{}\\[\\]`|'\"\\\\^~]+(?:\\/|\\b)/i;\n\treturn externalRegExp.test(to);\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Process the link\n\tvar text = this.match[1],\n\t\tlink = this.match[2] || text;\n\tif(isLinkExternal(link)) {\n\t\treturn [{\n\t\t\ttype: \"element\",\n\t\t\ttag: \"a\",\n\t\t\tattributes: {\n\t\t\t\thref: {type: \"string\", value: link},\n\t\t\t\t\"class\": {type: \"string\", value: \"tc-tiddlylink-external\"},\n\t\t\t\ttarget: {type: \"string\", value: \"_blank\"}\n\t\t\t},\n\t\t\tchildren: [{\n\t\t\t\ttype: \"text\", text: text\n\t\t\t}]\n\t\t}];\n\t} else {\n\t\treturn [{\n\t\t\ttype: \"link\",\n\t\t\tattributes: {\n\t\t\t\tto: {type: \"string\", value: link}\n\t\t\t},\n\t\t\tchildren: [{\n\t\t\t\ttype: \"text\", text: text\n\t\t\t}]\n\t\t}];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/prettylink.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/quoteblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/quoteblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for quote blocks. For example:\n\n```\n\t<<<.optionalClass(es) optional cited from\n\ta quote\n\t<<<\n\t\n\t<<<.optionalClass(es)\n\ta quote\n\t<<< optional cited from\n```\n\nQuotes can be quoted by putting more <s\n\n```\n\t<<<\n\tQuote Level 1\n\t\n\t<<<<\n\tQuoteLevel 2\n\t<<<<\n\t\n\t<<<\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"quoteblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /(<<<+)/mg;\n};\n\nexports.parse = function() {\n\tvar classes = [\"tc-quote\"];\n\t// Get all the details of the match\n\tvar reEndString = \"^\" + this.match[1] + \"(?!<)\";\n\t// Move past the <s\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t\n\t// Parse any classes, whitespace and then the optional cite itself\n\tclasses.push.apply(classes, this.parser.parseClasses());\n\tthis.parser.skipWhitespace({treatNewlinesAsNonWhitespace: true});\n\tvar cite = this.parser.parseInlineRun(/(\\r?\\n)/mg);\n\t// before handling the cite, parse the body of the quote\n\tvar tree= this.parser.parseBlocks(reEndString);\n\t// If we got a cite, put it before the text\n\tif(cite.length > 0) {\n\t\ttree.unshift({\n\t\t\ttype: \"element\",\n\t\t\ttag: \"cite\",\n\t\t\tchildren: cite\n\t\t});\n\t}\n\t// Parse any optional cite\n\tthis.parser.skipWhitespace({treatNewlinesAsNonWhitespace: true});\n\tcite = this.parser.parseInlineRun(/(\\r?\\n)/mg);\n\t// If we got a cite, push it\n\tif(cite.length > 0) {\n\t\ttree.push({\n\t\t\ttype: \"element\",\n\t\t\ttag: \"cite\",\n\t\t\tchildren: cite\n\t\t});\n\t}\n\t// Return the blockquote element\n\treturn [{\n\t\ttype: \"element\",\n\t\ttag: \"blockquote\",\n\t\tattributes: {\n\t\t\tclass: { type: \"string\", value: classes.join(\" \") },\n\t\t},\n\t\tchildren: tree\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/quoteblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/rules.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/rules.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki pragma rule for rules specifications\n\n```\n\\rules except ruleone ruletwo rulethree\n\\rules only ruleone ruletwo rulethree\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"rules\";\nexports.types = {pragma: true};\n\n/*\nInstantiate parse rule\n*/\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /^\\\\rules[^\\S\\n]/mg;\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Move past the pragma invocation\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Parse whitespace delimited tokens terminated by a line break\n\tvar reMatch = /[^\\S\\n]*(\\S+)|(\\r?\\n)/mg,\n\t\ttokens = [];\n\treMatch.lastIndex = this.parser.pos;\n\tvar match = reMatch.exec(this.parser.source);\n\twhile(match && match.index === this.parser.pos) {\n\t\tthis.parser.pos = reMatch.lastIndex;\n\t\t// Exit if we've got the line break\n\t\tif(match[2]) {\n\t\t\tbreak;\n\t\t}\n\t\t// Process the token\n\t\tif(match[1]) {\n\t\t\ttokens.push(match[1]);\n\t\t}\n\t\t// Match the next token\n\t\tmatch = reMatch.exec(this.parser.source);\n\t}\n\t// Process the tokens\n\tif(tokens.length > 0) {\n\t\tthis.parser.amendRules(tokens[0],tokens.slice(1));\n\t}\n\t// No parse tree nodes to return\n\treturn [];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/rules.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/styleblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/styleblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for assigning styles and classes to paragraphs and other blocks. For example:\n\n```\n@@.myClass\n@@background-color:red;\nThis paragraph will have the CSS class `myClass`.\n\n* The `<ul>` around this list will also have the class `myClass`\n* List item 2\n\n@@\n```\n\nNote that classes and styles can be mixed subject to the rule that styles must precede classes. For example\n\n```\n@@.myFirstClass.mySecondClass\n@@width:100px;.myThirdClass\nThis is a paragraph\n@@\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"styleblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /@@((?:[^\\.\\r\\n\\s:]+:[^\\r\\n;]+;)+)?(?:\\.([^\\r\\n\\s]+))?\\r?\\n/mg;\n};\n\nexports.parse = function() {\n\tvar reEndString = \"^@@(?:\\\\r?\\\\n)?\";\n\tvar classes = [], styles = [];\n\tdo {\n\t\t// Get the class and style\n\t\tif(this.match[1]) {\n\t\t\tstyles.push(this.match[1]);\n\t\t}\n\t\tif(this.match[2]) {\n\t\t\tclasses.push(this.match[2].split(\".\").join(\" \"));\n\t\t}\n\t\t// Move past the match\n\t\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t\t// Look for another line of classes and styles\n\t\tthis.match = this.matchRegExp.exec(this.parser.source);\n\t} while(this.match && this.match.index === this.parser.pos);\n\t// Parse the body\n\tvar tree = this.parser.parseBlocks(reEndString);\n\tfor(var t=0; t<tree.length; t++) {\n\t\tif(classes.length > 0) {\n\t\t\t$tw.utils.addClassToParseTreeNode(tree[t],classes.join(\" \"));\n\t\t}\n\t\tif(styles.length > 0) {\n\t\t\t$tw.utils.addAttributeToParseTreeNode(tree[t],\"style\",styles.join(\"\"));\n\t\t}\n\t}\n\treturn tree;\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/styleblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/styleinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/styleinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for assigning styles and classes to inline runs. For example:\n\n```\n@@.myClass This is some text with a class@@\n@@background-color:red;This is some text with a background colour@@\n@@width:100px;.myClass This is some text with a class and a width@@\n```\n\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"styleinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /@@((?:[^\\.\\r\\n\\s:]+:[^\\r\\n;]+;)+)?(\\.(?:[^\\r\\n\\s]+)\\s+)?/mg;\n};\n\nexports.parse = function() {\n\tvar reEnd = /@@/g;\n\t// Get the styles and class\n\tvar stylesString = this.match[1],\n\t\tclassString = this.match[2] ? this.match[2].split(\".\").join(\" \") : undefined;\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Parse the run up to the terminator\n\tvar tree = this.parser.parseInlineRun(reEnd,{eatTerminator: true});\n\t// Return the classed span\n\tvar node = {\n\t\ttype: \"element\",\n\t\ttag: \"span\",\n\t\tattributes: {\n\t\t\t\"class\": {type: \"string\", value: \"tc-inline-style\"}\n\t\t},\n\t\tchildren: tree\n\t};\n\tif(classString) {\n\t\t$tw.utils.addClassToParseTreeNode(node,classString);\n\t}\n\tif(stylesString) {\n\t\t$tw.utils.addAttributeToParseTreeNode(node,\"style\",stylesString);\n\t}\n\treturn [node];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/styleinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/table.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/table.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text block rule for tables.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"table\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /^\\|(?:[^\\n]*)\\|(?:[fhck]?)\\r?(?:\\n|$)/mg;\n};\n\nvar processRow = function(prevColumns) {\n\tvar cellRegExp = /(?:\\|([^\\n\\|]*)\\|)|(\\|[fhck]?\\r?(?:\\n|$))/mg,\n\t\tcellTermRegExp = /((?:\\x20*)\\|)/mg,\n\t\ttree = [],\n\t\tcol = 0,\n\t\tcolSpanCount = 1,\n\t\tprevCell,\n\t\tvAlign;\n\t// Match a single cell\n\tcellRegExp.lastIndex = this.parser.pos;\n\tvar cellMatch = cellRegExp.exec(this.parser.source);\n\twhile(cellMatch && cellMatch.index === this.parser.pos) {\n\t\tif(cellMatch[1] === \"~\") {\n\t\t\t// Rowspan\n\t\t\tvar last = prevColumns[col];\n\t\t\tif(last) {\n\t\t\t\tlast.rowSpanCount++;\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(last.element,\"rowspan\",last.rowSpanCount);\n\t\t\t\tvAlign = $tw.utils.getAttributeValueFromParseTreeNode(last.element,\"valign\",\"center\");\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(last.element,\"valign\",vAlign);\n\t\t\t\tif(colSpanCount > 1) {\n\t\t\t\t\t$tw.utils.addAttributeToParseTreeNode(last.element,\"colspan\",colSpanCount);\n\t\t\t\t\tcolSpanCount = 1;\n\t\t\t\t}\n\t\t\t}\n\t\t\t// Move to just before the `|` terminating the cell\n\t\t\tthis.parser.pos = cellRegExp.lastIndex - 1;\n\t\t} else if(cellMatch[1] === \">\") {\n\t\t\t// Colspan\n\t\t\tcolSpanCount++;\n\t\t\t// Move to just before the `|` terminating the cell\n\t\t\tthis.parser.pos = cellRegExp.lastIndex - 1;\n\t\t} else if(cellMatch[1] === \"<\" && prevCell) {\n\t\t\tcolSpanCount = 1 + $tw.utils.getAttributeValueFromParseTreeNode(prevCell,\"colspan\",1);\n\t\t\t$tw.utils.addAttributeToParseTreeNode(prevCell,\"colspan\",colSpanCount);\n\t\t\tcolSpanCount = 1;\n\t\t\t// Move to just before the `|` terminating the cell\n\t\t\tthis.parser.pos = cellRegExp.lastIndex - 1;\n\t\t} else if(cellMatch[2]) {\n\t\t\t// End of row\n\t\t\tif(prevCell && colSpanCount > 1) {\n\t\t\t\tif(prevCell.attributes && prevCell.attributes && prevCell.attributes.colspan) {\n\t\t\t\t\t\tcolSpanCount += prevCell.attributes.colspan.value;\n\t\t\t\t} else {\n\t\t\t\t\tcolSpanCount -= 1;\n\t\t\t\t}\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(prevCell,\"colspan\",colSpanCount);\n\t\t\t}\n\t\t\tthis.parser.pos = cellRegExp.lastIndex - 1;\n\t\t\tbreak;\n\t\t} else {\n\t\t\t// For ordinary cells, step beyond the opening `|`\n\t\t\tthis.parser.pos++;\n\t\t\t// Look for a space at the start of the cell\n\t\t\tvar spaceLeft = false;\n\t\t\tvAlign = null;\n\t\t\tif(this.parser.source.substr(this.parser.pos).search(/^\\^([^\\^]|\\^\\^)/) === 0) {\n\t\t\t\tvAlign = \"top\";\n\t\t\t} else if(this.parser.source.substr(this.parser.pos).search(/^,([^,]|,,)/) === 0) {\n\t\t\t\tvAlign = \"bottom\";\n\t\t\t}\n\t\t\tif(vAlign) {\n\t\t\t\tthis.parser.pos++;\n\t\t\t}\n\t\t\tvar chr = this.parser.source.substr(this.parser.pos,1);\n\t\t\twhile(chr === \" \") {\n\t\t\t\tspaceLeft = true;\n\t\t\t\tthis.parser.pos++;\n\t\t\t\tchr = this.parser.source.substr(this.parser.pos,1);\n\t\t\t}\n\t\t\t// Check whether this is a heading cell\n\t\t\tvar cell;\n\t\t\tif(chr === \"!\") {\n\t\t\t\tthis.parser.pos++;\n\t\t\t\tcell = {type: \"element\", tag: \"th\", children: []};\n\t\t\t} else {\n\t\t\t\tcell = {type: \"element\", tag: \"td\", children: []};\n\t\t\t}\n\t\t\ttree.push(cell);\n\t\t\t// Record information about this cell\n\t\t\tprevCell = cell;\n\t\t\tprevColumns[col] = {rowSpanCount:1,element:cell};\n\t\t\t// Check for a colspan\n\t\t\tif(colSpanCount > 1) {\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(cell,\"colspan\",colSpanCount);\n\t\t\t\tcolSpanCount = 1;\n\t\t\t}\n\t\t\t// Parse the cell\n\t\t\tcell.children = this.parser.parseInlineRun(cellTermRegExp,{eatTerminator: true});\n\t\t\t// Set the alignment for the cell\n\t\t\tif(vAlign) {\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(cell,\"valign\",vAlign);\n\t\t\t}\n\t\t\tif(this.parser.source.substr(this.parser.pos - 2,1) === \" \") { // spaceRight\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(cell,\"align\",spaceLeft ? \"center\" : \"left\");\n\t\t\t} else if(spaceLeft) {\n\t\t\t\t$tw.utils.addAttributeToParseTreeNode(cell,\"align\",\"right\");\n\t\t\t}\n\t\t\t// Move back to the closing `|`\n\t\t\tthis.parser.pos--;\n\t\t}\n\t\tcol++;\n\t\tcellRegExp.lastIndex = this.parser.pos;\n\t\tcellMatch = cellRegExp.exec(this.parser.source);\n\t}\n\treturn tree;\n};\n\nexports.parse = function() {\n\tvar rowContainerTypes = {\"c\":\"caption\", \"h\":\"thead\", \"\":\"tbody\", \"f\":\"tfoot\"},\n\t\ttable = {type: \"element\", tag: \"table\", children: []},\n\t\trowRegExp = /^\\|([^\\n]*)\\|([fhck]?)\\r?(?:\\n|$)/mg,\n\t\trowTermRegExp = /(\\|(?:[fhck]?)\\r?(?:\\n|$))/mg,\n\t\tprevColumns = [],\n\t\tcurrRowType,\n\t\trowContainer,\n\t\trowCount = 0;\n\t// Match the row\n\trowRegExp.lastIndex = this.parser.pos;\n\tvar rowMatch = rowRegExp.exec(this.parser.source);\n\twhile(rowMatch && rowMatch.index === this.parser.pos) {\n\t\tvar rowType = rowMatch[2];\n\t\t// Check if it is a class assignment\n\t\tif(rowType === \"k\") {\n\t\t\t$tw.utils.addClassToParseTreeNode(table,rowMatch[1]);\n\t\t\tthis.parser.pos = rowMatch.index + rowMatch[0].length;\n\t\t} else {\n\t\t\t// Otherwise, create a new row if this one is of a different type\n\t\t\tif(rowType !== currRowType) {\n\t\t\t\trowContainer = {type: \"element\", tag: rowContainerTypes[rowType], children: []};\n\t\t\t\ttable.children.push(rowContainer);\n\t\t\t\tcurrRowType = rowType;\n\t\t\t}\n\t\t\t// Is this a caption row?\n\t\t\tif(currRowType === \"c\") {\n\t\t\t\t// If so, move past the opening `|` of the row\n\t\t\t\tthis.parser.pos++;\n\t\t\t\t// Move the caption to the first row if it isn't already\n\t\t\t\tif(table.children.length !== 1) {\n\t\t\t\t\ttable.children.pop(); // Take rowContainer out of the children array\n\t\t\t\t\ttable.children.splice(0,0,rowContainer); // Insert it at the bottom\t\t\t\t\t\t\n\t\t\t\t}\n\t\t\t\t// Set the alignment - TODO: figure out why TW did this\n//\t\t\t\trowContainer.attributes.align = rowCount === 0 ? \"top\" : \"bottom\";\n\t\t\t\t// Parse the caption\n\t\t\t\trowContainer.children = this.parser.parseInlineRun(rowTermRegExp,{eatTerminator: true});\n\t\t\t} else {\n\t\t\t\t// Create the row\n\t\t\t\tvar theRow = {type: \"element\", tag: \"tr\", children: []};\n\t\t\t\t$tw.utils.addClassToParseTreeNode(theRow,rowCount%2 ? \"oddRow\" : \"evenRow\");\n\t\t\t\trowContainer.children.push(theRow);\n\t\t\t\t// Process the row\n\t\t\t\ttheRow.children = processRow.call(this,prevColumns);\n\t\t\t\tthis.parser.pos = rowMatch.index + rowMatch[0].length;\n\t\t\t\t// Increment the row count\n\t\t\t\trowCount++;\n\t\t\t}\n\t\t}\n\t\trowMatch = rowRegExp.exec(this.parser.source);\n\t}\n\treturn [table];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/table.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/transcludeblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/transcludeblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for block-level transclusion. For example:\n\n```\n{{MyTiddler}}\n{{MyTiddler||TemplateTitle}}\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"transcludeblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\{\\{([^\\{\\}\\|]*)(?:\\|\\|([^\\|\\{\\}]+))?\\}\\}(?:\\r?\\n|$)/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Get the match details\n\tvar template = $tw.utils.trim(this.match[2]),\n\t\ttextRef = $tw.utils.trim(this.match[1]);\n\t// Prepare the transclude widget\n\tvar transcludeNode = {\n\t\t\ttype: \"transclude\",\n\t\t\tattributes: {},\n\t\t\tisBlock: true\n\t\t};\n\t// Prepare the tiddler widget\n\tvar tr, targetTitle, targetField, targetIndex, tiddlerNode;\n\tif(textRef) {\n\t\ttr = $tw.utils.parseTextReference(textRef);\n\t\ttargetTitle = tr.title;\n\t\ttargetField = tr.field;\n\t\ttargetIndex = tr.index;\n\t\ttiddlerNode = {\n\t\t\ttype: \"tiddler\",\n\t\t\tattributes: {\n\t\t\t\ttiddler: {type: \"string\", value: targetTitle}\n\t\t\t},\n\t\t\tisBlock: true,\n\t\t\tchildren: [transcludeNode]\n\t\t};\n\t}\n\tif(template) {\n\t\ttranscludeNode.attributes.tiddler = {type: \"string\", value: template};\n\t\tif(textRef) {\n\t\t\treturn [tiddlerNode];\n\t\t} else {\n\t\t\treturn [transcludeNode];\n\t\t}\n\t} else {\n\t\tif(textRef) {\n\t\t\ttranscludeNode.attributes.tiddler = {type: \"string\", value: targetTitle};\n\t\t\tif(targetField) {\n\t\t\t\ttranscludeNode.attributes.field = {type: \"string\", value: targetField};\n\t\t\t}\n\t\t\tif(targetIndex) {\n\t\t\t\ttranscludeNode.attributes.index = {type: \"string\", value: targetIndex};\n\t\t\t}\n\t\t\treturn [tiddlerNode];\n\t\t} else {\n\t\t\treturn [transcludeNode];\n\t\t}\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/transcludeblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/transcludeinline.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/transcludeinline.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for inline-level transclusion. For example:\n\n```\n{{MyTiddler}}\n{{MyTiddler||TemplateTitle}}\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"transcludeinline\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\{\\{([^\\{\\}\\|]*)(?:\\|\\|([^\\|\\{\\}]+))?\\}\\}/mg;\n};\n\nexports.parse = function() {\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Get the match details\n\tvar template = $tw.utils.trim(this.match[2]),\n\t\ttextRef = $tw.utils.trim(this.match[1]);\n\t// Prepare the transclude widget\n\tvar transcludeNode = {\n\t\t\ttype: \"transclude\",\n\t\t\tattributes: {}\n\t\t};\n\t// Prepare the tiddler widget\n\tvar tr, targetTitle, targetField, targetIndex, tiddlerNode;\n\tif(textRef) {\n\t\ttr = $tw.utils.parseTextReference(textRef);\n\t\ttargetTitle = tr.title;\n\t\ttargetField = tr.field;\n\t\ttargetIndex = tr.index;\n\t\ttiddlerNode = {\n\t\t\ttype: \"tiddler\",\n\t\t\tattributes: {\n\t\t\t\ttiddler: {type: \"string\", value: targetTitle}\n\t\t\t},\n\t\t\tchildren: [transcludeNode]\n\t\t};\n\t}\n\tif(template) {\n\t\ttranscludeNode.attributes.tiddler = {type: \"string\", value: template};\n\t\tif(textRef) {\n\t\t\treturn [tiddlerNode];\n\t\t} else {\n\t\t\treturn [transcludeNode];\n\t\t}\n\t} else {\n\t\tif(textRef) {\n\t\t\ttranscludeNode.attributes.tiddler = {type: \"string\", value: targetTitle};\n\t\t\tif(targetField) {\n\t\t\t\ttranscludeNode.attributes.field = {type: \"string\", value: targetField};\n\t\t\t}\n\t\t\tif(targetIndex) {\n\t\t\t\ttranscludeNode.attributes.index = {type: \"string\", value: targetIndex};\n\t\t\t}\n\t\t\treturn [tiddlerNode];\n\t\t} else {\n\t\t\treturn [transcludeNode];\n\t\t}\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/transcludeinline.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/typedblock.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/typedblock.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text rule for typed blocks. For example:\n\n```\n$$$.js\nThis will be rendered as JavaScript\n$$$\n\n$$$.svg\n<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"150\" height=\"100\">\n <circle cx=\"100\" cy=\"50\" r=\"40\" stroke=\"black\" stroke-width=\"2\" fill=\"red\" />\n</svg>\n$$$\n\n$$$text/vnd.tiddlywiki>text/html\nThis will be rendered as an //HTML representation// of WikiText\n$$$\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nexports.name = \"typedblock\";\nexports.types = {block: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = /\\$\\$\\$([^ >\\r\\n]*)(?: *> *([^ \\r\\n]+))?\\r?\\n/mg;\n};\n\nexports.parse = function() {\n\tvar reEnd = /\\r?\\n\\$\\$\\$\\r?(?:\\n|$)/mg;\n\t// Save the type\n\tvar parseType = this.match[1],\n\t\trenderType = this.match[2];\n\t// Move past the match\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// Look for the end of the block\n\treEnd.lastIndex = this.parser.pos;\n\tvar match = reEnd.exec(this.parser.source),\n\t\ttext;\n\t// Process the block\n\tif(match) {\n\t\ttext = this.parser.source.substring(this.parser.pos,match.index);\n\t\tthis.parser.pos = match.index + match[0].length;\n\t} else {\n\t\ttext = this.parser.source.substr(this.parser.pos);\n\t\tthis.parser.pos = this.parser.sourceLength;\n\t}\n\t// Parse the block according to the specified type\n\tvar parser = this.parser.wiki.parseText(parseType,text,{defaultType: \"text/plain\"});\n\t// If there's no render type, just return the parse tree\n\tif(!renderType) {\n\t\treturn parser.tree;\n\t} else {\n\t\t// Otherwise, render to the rendertype and return in a <PRE> tag\n\t\tvar widgetNode = this.parser.wiki.makeWidget(parser),\n\t\t\tcontainer = $tw.fakeDocument.createElement(\"div\");\n\t\twidgetNode.render(container,null);\n\t\ttext = renderType === \"text/html\" ? container.innerHTML : container.textContent;\n\t\treturn [{\n\t\t\ttype: \"element\",\n\t\t\ttag: \"pre\",\n\t\t\tchildren: [{\n\t\t\t\ttype: \"text\",\n\t\t\t\ttext: text\n\t\t\t}]\n\t\t}];\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/typedblock.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/rules/wikilink.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/wikilink.js\ntype: application/javascript\nmodule-type: wikirule\n\nWiki text inline rule for wiki links. For example:\n\n```\nAWikiLink\nAnotherLink\n~SuppressedLink\n```\n\nPrecede a camel case word with `~` to prevent it from being recognised as a link.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.name = \"wikilink\";\nexports.types = {inline: true};\n\nexports.init = function(parser) {\n\tthis.parser = parser;\n\t// Regexp to match\n\tthis.matchRegExp = new RegExp($tw.config.textPrimitives.unWikiLink + \"?\" + $tw.config.textPrimitives.wikiLink,\"mg\");\n};\n\n/*\nParse the most recent match\n*/\nexports.parse = function() {\n\t// Get the details of the match\n\tvar linkText = this.match[0];\n\t// Move past the macro call\n\tthis.parser.pos = this.matchRegExp.lastIndex;\n\t// If the link starts with the unwikilink character then just output it as plain text\n\tif(linkText.substr(0,1) === $tw.config.textPrimitives.unWikiLink) {\n\t\treturn [{type: \"text\", text: linkText.substr(1)}];\n\t}\n\t// If the link has been preceded with a blocked letter then don't treat it as a link\n\tif(this.match.index > 0) {\n\t\tvar preRegExp = new RegExp($tw.config.textPrimitives.blockPrefixLetters,\"mg\");\n\t\tpreRegExp.lastIndex = this.match.index-1;\n\t\tvar preMatch = preRegExp.exec(this.parser.source);\n\t\tif(preMatch && preMatch.index === this.match.index-1) {\n\t\t\treturn [{type: \"text\", text: linkText}];\n\t\t}\n\t}\n\treturn [{\n\t\ttype: \"link\",\n\t\tattributes: {\n\t\t\tto: {type: \"string\", value: linkText}\n\t\t},\n\t\tchildren: [{\n\t\t\ttype: \"text\",\n\t\t\ttext: linkText\n\t\t}]\n\t}];\n};\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/wikilink.js",
"type": "application/javascript",
"module-type": "wikirule"
},
"$:/core/modules/parsers/wikiparser/wikiparser.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/wikiparser.js\ntype: application/javascript\nmodule-type: parser\n\nThe wiki text parser processes blocks of source text into a parse tree.\n\nThe parse tree is made up of nested arrays of these JavaScript objects:\n\n\t{type: \"element\", tag: <string>, attributes: {}, children: []} - an HTML element\n\t{type: \"text\", text: <string>} - a text node\n\t{type: \"entity\", value: <string>} - an entity\n\t{type: \"raw\", html: <string>} - raw HTML\n\nAttributes are stored as hashmaps of the following objects:\n\n\t{type: \"string\", value: <string>} - literal string\n\t{type: \"indirect\", textReference: <textReference>} - indirect through a text reference\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar WikiParser = function(type,text,options) {\n\tthis.wiki = options.wiki;\n\t// Initialise the classes if we don't have them already\n\tif(!this.pragmaRuleClasses) {\n\t\tWikiParser.prototype.pragmaRuleClasses = $tw.modules.createClassesFromModules(\"wikirule\",\"pragma\",$tw.WikiRuleBase);\n\t}\n\tif(!this.blockRuleClasses) {\n\t\tWikiParser.prototype.blockRuleClasses = $tw.modules.createClassesFromModules(\"wikirule\",\"block\",$tw.WikiRuleBase);\n\t}\n\tif(!this.inlineRuleClasses) {\n\t\tWikiParser.prototype.inlineRuleClasses = $tw.modules.createClassesFromModules(\"wikirule\",\"inline\",$tw.WikiRuleBase);\n\t}\n\t// Save the parse text\n\tthis.type = type || \"text/vnd.tiddlywiki\";\n\tthis.source = text || \"\";\n\tthis.sourceLength = this.source.length;\n\t// Set current parse position\n\tthis.pos = 0;\n\t// Instantiate the pragma parse rules\n\tthis.pragmaRules = this.instantiateRules(this.pragmaRuleClasses,\"pragma\",0);\n\t// Instantiate the parser block and inline rules\n\tthis.blockRules = this.instantiateRules(this.blockRuleClasses,\"block\",0);\n\tthis.inlineRules = this.instantiateRules(this.inlineRuleClasses,\"inline\",0);\n\t// Parse any pragmas\n\tthis.tree = this.parsePragmas();\n\t// Parse the text into inline runs or blocks\n\tif(options.parseAsInline) {\n\t\tthis.tree.push.apply(this.tree,this.parseInlineRun());\n\t} else {\n\t\tthis.tree.push.apply(this.tree,this.parseBlocks());\n\t}\n\t// Return the parse tree\n};\n\n/*\nInstantiate an array of parse rules\n*/\nWikiParser.prototype.instantiateRules = function(classes,type,startPos) {\n\tvar rulesInfo = [],\n\t\tself = this;\n\t$tw.utils.each(classes,function(RuleClass) {\n\t\t// Instantiate the rule\n\t\tvar rule = new RuleClass(self);\n\t\trule.is = {};\n\t\trule.is[type] = true;\n\t\trule.init(self);\n\t\tvar matchIndex = rule.findNextMatch(startPos);\n\t\tif(matchIndex !== undefined) {\n\t\t\trulesInfo.push({\n\t\t\t\trule: rule,\n\t\t\t\tmatchIndex: matchIndex\n\t\t\t});\n\t\t}\n\t});\n\treturn rulesInfo;\n};\n\n/*\nSkip any whitespace at the current position. Options are:\n\ttreatNewlinesAsNonWhitespace: true if newlines are NOT to be treated as whitespace\n*/\nWikiParser.prototype.skipWhitespace = function(options) {\n\toptions = options || {};\n\tvar whitespaceRegExp = options.treatNewlinesAsNonWhitespace ? /([^\\S\\n]+)/mg : /(\\s+)/mg;\n\twhitespaceRegExp.lastIndex = this.pos;\n\tvar whitespaceMatch = whitespaceRegExp.exec(this.source);\n\tif(whitespaceMatch && whitespaceMatch.index === this.pos) {\n\t\tthis.pos = whitespaceRegExp.lastIndex;\n\t}\n};\n\n/*\nGet the next match out of an array of parse rule instances\n*/\nWikiParser.prototype.findNextMatch = function(rules,startPos) {\n\t// Find the best matching rule by finding the closest match position\n\tvar matchingRule,\n\t\tmatchingRulePos = this.sourceLength;\n\t// Step through each rule\n\tfor(var t=0; t<rules.length; t++) {\n\t\tvar ruleInfo = rules[t];\n\t\t// Ask the rule to get the next match if we've moved past the current one\n\t\tif(ruleInfo.matchIndex !== undefined && ruleInfo.matchIndex < startPos) {\n\t\t\truleInfo.matchIndex = ruleInfo.rule.findNextMatch(startPos);\n\t\t}\n\t\t// Adopt this match if it's closer than the current best match\n\t\tif(ruleInfo.matchIndex !== undefined && ruleInfo.matchIndex <= matchingRulePos) {\n\t\t\tmatchingRule = ruleInfo;\n\t\t\tmatchingRulePos = ruleInfo.matchIndex;\n\t\t}\n\t}\n\treturn matchingRule;\n};\n\n/*\nParse any pragmas at the beginning of a block of parse text\n*/\nWikiParser.prototype.parsePragmas = function() {\n\tvar tree = [];\n\twhile(true) {\n\t\t// Skip whitespace\n\t\tthis.skipWhitespace();\n\t\t// Check for the end of the text\n\t\tif(this.pos >= this.sourceLength) {\n\t\t\tbreak;\n\t\t}\n\t\t// Check if we've arrived at a pragma rule match\n\t\tvar nextMatch = this.findNextMatch(this.pragmaRules,this.pos);\n\t\t// If not, just exit\n\t\tif(!nextMatch || nextMatch.matchIndex !== this.pos) {\n\t\t\tbreak;\n\t\t}\n\t\t// Process the pragma rule\n\t\ttree.push.apply(tree,nextMatch.rule.parse());\n\t}\n\treturn tree;\n};\n\n/*\nParse a block from the current position\n\tterminatorRegExpString: optional regular expression string that identifies the end of plain paragraphs. Must not include capturing parenthesis\n*/\nWikiParser.prototype.parseBlock = function(terminatorRegExpString) {\n\tvar terminatorRegExp = terminatorRegExpString ? new RegExp(\"(\" + terminatorRegExpString + \"|\\\\r?\\\\n\\\\r?\\\\n)\",\"mg\") : /(\\r?\\n\\r?\\n)/mg;\n\tthis.skipWhitespace();\n\tif(this.pos >= this.sourceLength) {\n\t\treturn [];\n\t}\n\t// Look for a block rule that applies at the current position\n\tvar nextMatch = this.findNextMatch(this.blockRules,this.pos);\n\tif(nextMatch && nextMatch.matchIndex === this.pos) {\n\t\treturn nextMatch.rule.parse();\n\t}\n\t// Treat it as a paragraph if we didn't find a block rule\n\treturn [{type: \"element\", tag: \"p\", children: this.parseInlineRun(terminatorRegExp)}];\n};\n\n/*\nParse a series of blocks of text until a terminating regexp is encountered or the end of the text\n\tterminatorRegExpString: terminating regular expression\n*/\nWikiParser.prototype.parseBlocks = function(terminatorRegExpString) {\n\tif(terminatorRegExpString) {\n\t\treturn this.parseBlocksTerminated(terminatorRegExpString);\n\t} else {\n\t\treturn this.parseBlocksUnterminated();\n\t}\n};\n\n/*\nParse a block from the current position to the end of the text\n*/\nWikiParser.prototype.parseBlocksUnterminated = function() {\n\tvar tree = [];\n\twhile(this.pos < this.sourceLength) {\n\t\ttree.push.apply(tree,this.parseBlock());\n\t}\n\treturn tree;\n};\n\n/*\nParse blocks of text until a terminating regexp is encountered\n*/\nWikiParser.prototype.parseBlocksTerminated = function(terminatorRegExpString) {\n\tvar terminatorRegExp = new RegExp(\"(\" + terminatorRegExpString + \")\",\"mg\"),\n\t\ttree = [];\n\t// Skip any whitespace\n\tthis.skipWhitespace();\n\t// Check if we've got the end marker\n\tterminatorRegExp.lastIndex = this.pos;\n\tvar match = terminatorRegExp.exec(this.source);\n\t// Parse the text into blocks\n\twhile(this.pos < this.sourceLength && !(match && match.index === this.pos)) {\n\t\tvar blocks = this.parseBlock(terminatorRegExpString);\n\t\ttree.push.apply(tree,blocks);\n\t\t// Skip any whitespace\n\t\tthis.skipWhitespace();\n\t\t// Check if we've got the end marker\n\t\tterminatorRegExp.lastIndex = this.pos;\n\t\tmatch = terminatorRegExp.exec(this.source);\n\t}\n\tif(match && match.index === this.pos) {\n\t\tthis.pos = match.index + match[0].length;\n\t}\n\treturn tree;\n};\n\n/*\nParse a run of text at the current position\n\tterminatorRegExp: a regexp at which to stop the run\n\toptions: see below\nOptions available:\n\teatTerminator: move the parse position past any encountered terminator (default false)\n*/\nWikiParser.prototype.parseInlineRun = function(terminatorRegExp,options) {\n\tif(terminatorRegExp) {\n\t\treturn this.parseInlineRunTerminated(terminatorRegExp,options);\n\t} else {\n\t\treturn this.parseInlineRunUnterminated(options);\n\t}\n};\n\nWikiParser.prototype.parseInlineRunUnterminated = function(options) {\n\tvar tree = [];\n\t// Find the next occurrence of an inline rule\n\tvar nextMatch = this.findNextMatch(this.inlineRules,this.pos);\n\t// Loop around the matches until we've reached the end of the text\n\twhile(this.pos < this.sourceLength && nextMatch) {\n\t\t// Process the text preceding the run rule\n\t\tif(nextMatch.matchIndex > this.pos) {\n\t\t\ttree.push({type: \"text\", text: this.source.substring(this.pos,nextMatch.matchIndex)});\n\t\t\tthis.pos = nextMatch.matchIndex;\n\t\t}\n\t\t// Process the run rule\n\t\ttree.push.apply(tree,nextMatch.rule.parse());\n\t\t// Look for the next run rule\n\t\tnextMatch = this.findNextMatch(this.inlineRules,this.pos);\n\t}\n\t// Process the remaining text\n\tif(this.pos < this.sourceLength) {\n\t\ttree.push({type: \"text\", text: this.source.substr(this.pos)});\n\t}\n\tthis.pos = this.sourceLength;\n\treturn tree;\n};\n\nWikiParser.prototype.parseInlineRunTerminated = function(terminatorRegExp,options) {\n\toptions = options || {};\n\tvar tree = [];\n\t// Find the next occurrence of the terminator\n\tterminatorRegExp.lastIndex = this.pos;\n\tvar terminatorMatch = terminatorRegExp.exec(this.source);\n\t// Find the next occurrence of a inlinerule\n\tvar inlineRuleMatch = this.findNextMatch(this.inlineRules,this.pos);\n\t// Loop around until we've reached the end of the text\n\twhile(this.pos < this.sourceLength && (terminatorMatch || inlineRuleMatch)) {\n\t\t// Return if we've found the terminator, and it precedes any inline rule match\n\t\tif(terminatorMatch) {\n\t\t\tif(!inlineRuleMatch || inlineRuleMatch.matchIndex >= terminatorMatch.index) {\n\t\t\t\tif(terminatorMatch.index > this.pos) {\n\t\t\t\t\ttree.push({type: \"text\", text: this.source.substring(this.pos,terminatorMatch.index)});\n\t\t\t\t}\n\t\t\t\tthis.pos = terminatorMatch.index;\n\t\t\t\tif(options.eatTerminator) {\n\t\t\t\t\tthis.pos += terminatorMatch[0].length;\n\t\t\t\t}\n\t\t\t\treturn tree;\n\t\t\t}\n\t\t}\n\t\t// Process any inline rule, along with the text preceding it\n\t\tif(inlineRuleMatch) {\n\t\t\t// Preceding text\n\t\t\tif(inlineRuleMatch.matchIndex > this.pos) {\n\t\t\t\ttree.push({type: \"text\", text: this.source.substring(this.pos,inlineRuleMatch.matchIndex)});\n\t\t\t\tthis.pos = inlineRuleMatch.matchIndex;\n\t\t\t}\n\t\t\t// Process the inline rule\n\t\t\ttree.push.apply(tree,inlineRuleMatch.rule.parse());\n\t\t\t// Look for the next inline rule\n\t\t\tinlineRuleMatch = this.findNextMatch(this.inlineRules,this.pos);\n\t\t\t// Look for the next terminator match\n\t\t\tterminatorRegExp.lastIndex = this.pos;\n\t\t\tterminatorMatch = terminatorRegExp.exec(this.source);\n\t\t}\n\t}\n\t// Process the remaining text\n\tif(this.pos < this.sourceLength) {\n\t\ttree.push({type: \"text\", text: this.source.substr(this.pos)});\n\t}\n\tthis.pos = this.sourceLength;\n\treturn tree;\n};\n\n/*\nParse zero or more class specifiers `.classname`\n*/\nWikiParser.prototype.parseClasses = function() {\n\tvar classRegExp = /\\.([^\\s\\.]+)/mg,\n\t\tclassNames = [];\n\tclassRegExp.lastIndex = this.pos;\n\tvar match = classRegExp.exec(this.source);\n\twhile(match && match.index === this.pos) {\n\t\tthis.pos = match.index + match[0].length;\n\t\tclassNames.push(match[1]);\n\t\tmatch = classRegExp.exec(this.source);\n\t}\n\treturn classNames;\n};\n\n/*\nAmend the rules used by this instance of the parser\n\ttype: `only` keeps just the named rules, `except` keeps all but the named rules\n\tnames: array of rule names\n*/\nWikiParser.prototype.amendRules = function(type,names) {\n\tnames = names || [];\n\t// Define the filter function\n\tvar keepFilter;\n\tif(type === \"only\") {\n\t\tkeepFilter = function(name) {\n\t\t\treturn names.indexOf(name) !== -1;\n\t\t};\n\t} else if(type === \"except\") {\n\t\tkeepFilter = function(name) {\n\t\t\treturn names.indexOf(name) === -1;\n\t\t};\n\t} else {\n\t\treturn;\n\t}\n\t// Define a function to process each of our rule arrays\n\tvar processRuleArray = function(ruleArray) {\n\t\tfor(var t=ruleArray.length-1; t>=0; t--) {\n\t\t\tif(!keepFilter(ruleArray[t].rule.name)) {\n\t\t\t\truleArray.splice(t,1);\n\t\t\t}\n\t\t}\n\t};\n\t// Process each rule array\n\tprocessRuleArray(this.pragmaRules);\n\tprocessRuleArray(this.blockRules);\n\tprocessRuleArray(this.inlineRules);\n};\n\nexports[\"text/vnd.tiddlywiki\"] = WikiParser;\n\n})();\n\n",
"title": "$:/core/modules/parsers/wikiparser/wikiparser.js",
"type": "application/javascript",
"module-type": "parser"
},
"$:/core/modules/parsers/wikiparser/rules/wikirulebase.js": {
"text": "/*\\\ntitle: $:/core/modules/parsers/wikiparser/rules/wikirulebase.js\ntype: application/javascript\nmodule-type: global\n\nBase class for wiki parser rules\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nThis constructor is always overridden with a blank constructor, and so shouldn't be used\n*/\nvar WikiRuleBase = function() {\n};\n\n/*\nTo be overridden by individual rules\n*/\nWikiRuleBase.prototype.init = function(parser) {\n\tthis.parser = parser;\n};\n\n/*\nDefault implementation of findNextMatch uses RegExp matching\n*/\nWikiRuleBase.prototype.findNextMatch = function(startPos) {\n\tthis.matchRegExp.lastIndex = startPos;\n\tthis.match = this.matchRegExp.exec(this.parser.source);\n\treturn this.match ? this.match.index : undefined;\n};\n\nexports.WikiRuleBase = WikiRuleBase;\n\n})();\n",
"title": "$:/core/modules/parsers/wikiparser/rules/wikirulebase.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/pluginswitcher.js": {
"text": "/*\\\ntitle: $:/core/modules/pluginswitcher.js\ntype: application/javascript\nmodule-type: global\n\nManages switching plugins for themes and languages.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\noptions:\nwiki: wiki store to be used\npluginType: type of plugin to be switched\ncontrollerTitle: title of tiddler used to control switching of this resource\ndefaultPlugins: array of default plugins to be used if nominated plugin isn't found\n*/\nfunction PluginSwitcher(options) {\n\tthis.wiki = options.wiki;\n\tthis.pluginType = options.pluginType;\n\tthis.controllerTitle = options.controllerTitle;\n\tthis.defaultPlugins = options.defaultPlugins || [];\n\t// Switch to the current plugin\n\tthis.switchPlugins();\n\t// Listen for changes to the selected plugin\n\tvar self = this;\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\tif($tw.utils.hop(changes,self.controllerTitle)) {\n\t\t\tself.switchPlugins();\n\t\t}\n\t});\n}\n\nPluginSwitcher.prototype.switchPlugins = function() {\n\t// Get the name of the current theme\n\tvar selectedPluginTitle = this.wiki.getTiddlerText(this.controllerTitle);\n\t// If it doesn't exist, then fallback to one of the default themes\n\tvar index = 0;\n\twhile(!this.wiki.getTiddler(selectedPluginTitle) && index < this.defaultPlugins.length) {\n\t\tselectedPluginTitle = this.defaultPlugins[index++];\n\t}\n\t// Accumulate the titles of the plugins that we need to load\n\tvar plugins = [],\n\t\tself = this,\n\t\taccumulatePlugin = function(title) {\n\t\t\tvar tiddler = self.wiki.getTiddler(title);\n\t\t\tif(tiddler && tiddler.isPlugin() && plugins.indexOf(title) === -1) {\n\t\t\t\tplugins.push(title);\n\t\t\t\tvar pluginInfo = JSON.parse(self.wiki.getTiddlerText(title)),\n\t\t\t\t\tdependents = $tw.utils.parseStringArray(tiddler.fields.dependents || \"\");\n\t\t\t\t$tw.utils.each(dependents,function(title) {\n\t\t\t\t\taccumulatePlugin(title);\n\t\t\t\t});\n\t\t\t}\n\t\t};\n\taccumulatePlugin(selectedPluginTitle);\n\t// Unregister any existing theme tiddlers\n\tvar unregisteredTiddlers = $tw.wiki.unregisterPluginTiddlers(this.pluginType);\n\t// Register any new theme tiddlers\n\tvar registeredTiddlers = $tw.wiki.registerPluginTiddlers(this.pluginType,plugins);\n\t// Unpack the current theme tiddlers\n\t$tw.wiki.unpackPluginTiddlers();\n};\n\nexports.PluginSwitcher = PluginSwitcher;\n\n})();\n",
"title": "$:/core/modules/pluginswitcher.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/saver-handler.js": {
"text": "/*\\\ntitle: $:/core/modules/saver-handler.js\ntype: application/javascript\nmodule-type: global\n\nThe saver handler tracks changes to the store and handles saving the entire wiki via saver modules.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInstantiate the saver handler with the following options:\nwiki: wiki to be synced\ndirtyTracking: true if dirty tracking should be performed\n*/\nfunction SaverHandler(options) {\n\tvar self = this;\n\tthis.wiki = options.wiki;\n\tthis.dirtyTracking = options.dirtyTracking;\n\tthis.pendingAutoSave = false;\n\t// Make a logger\n\tthis.logger = new $tw.utils.Logger(\"saver-handler\");\n\t// Initialise our savers\n\tif($tw.browser) {\n\t\tthis.initSavers();\n\t}\n\t// Only do dirty tracking if required\n\tif($tw.browser && this.dirtyTracking) {\n\t\t// Compile the dirty tiddler filter\n\t\tthis.filterFn = this.wiki.compileFilter(this.wiki.getTiddlerText(this.titleSyncFilter));\n\t\t// Count of changes that have not yet been saved\n\t\tthis.numChanges = 0;\n\t\t// Listen out for changes to tiddlers\n\t\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\t\t// Filter the changes so that we only count changes to tiddlers that we care about\n\t\t\tvar filteredChanges = self.filterFn.call(self.wiki,function(callback) {\n\t\t\t\t$tw.utils.each(changes,function(change,title) {\n\t\t\t\t\tvar tiddler = self.wiki.getTiddler(title);\n\t\t\t\t\tcallback(tiddler,title);\n\t\t\t\t});\n\t\t\t});\n\t\t\t// Adjust the number of changes\n\t\t\tself.numChanges += filteredChanges.length;\n\t\t\tself.updateDirtyStatus();\n\t\t\t// Do any autosave if one is pending and there's no more change events\n\t\t\tif(self.pendingAutoSave && self.wiki.getSizeOfTiddlerEventQueue() === 0) {\n\t\t\t\t// Check if we're dirty\n\t\t\t\tif(self.numChanges > 0) {\n\t\t\t\t\tself.saveWiki({\n\t\t\t\t\t\tmethod: \"autosave\",\n\t\t\t\t\t\tdownloadType: \"text/plain\"\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t\tself.pendingAutoSave = false;\n\t\t\t}\n\t\t});\n\t\t// Listen for the autosave event\n\t\t$tw.rootWidget.addEventListener(\"tm-auto-save-wiki\",function(event) {\n\t\t\t// Do the autosave unless there are outstanding tiddler change events\n\t\t\tif(self.wiki.getSizeOfTiddlerEventQueue() === 0) {\n\t\t\t\t// Check if we're dirty\n\t\t\t\tif(self.numChanges > 0) {\n\t\t\t\t\tself.saveWiki({\n\t\t\t\t\t\tmethod: \"autosave\",\n\t\t\t\t\t\tdownloadType: \"text/plain\"\n\t\t\t\t\t});\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\t// Otherwise put ourselves in the \"pending autosave\" state and wait for the change event before we do the autosave\n\t\t\t\tself.pendingAutoSave = true;\n\t\t\t}\n\t\t});\n\t\t// Set up our beforeunload handler\n\t\twindow.addEventListener(\"beforeunload\",function(event) {\n\t\t\tvar confirmationMessage;\n\t\t\tif(self.isDirty()) {\n\t\t\t\tconfirmationMessage = $tw.language.getString(\"UnsavedChangesWarning\");\n\t\t\t\tevent.returnValue = confirmationMessage; // Gecko\n\t\t\t}\n\t\t\treturn confirmationMessage;\n\t\t});\n\t}\n\t// Install the save action handlers\n\tif($tw.browser) {\n\t\t$tw.rootWidget.addEventListener(\"tm-save-wiki\",function(event) {\n\t\t\tself.saveWiki({\n\t\t\t\ttemplate: event.param,\n\t\t\t\tdownloadType: \"text/plain\",\n\t\t\t\tvariables: event.paramObject\n\t\t\t});\n\t\t});\n\t\t$tw.rootWidget.addEventListener(\"tm-download-file\",function(event) {\n\t\t\tself.saveWiki({\n\t\t\t\tmethod: \"download\",\n\t\t\t\ttemplate: event.param,\n\t\t\t\tdownloadType: \"text/plain\",\n\t\t\t\tvariables: event.paramObject\n\t\t\t});\n\t\t});\n\t}\n}\n\nSaverHandler.prototype.titleSyncFilter = \"$:/config/SaverFilter\";\nSaverHandler.prototype.titleAutoSave = \"$:/config/AutoSave\";\nSaverHandler.prototype.titleSavedNotification = \"$:/language/Notifications/Save/Done\";\n\n/*\nSelect the appropriate saver modules and set them up\n*/\nSaverHandler.prototype.initSavers = function(moduleType) {\n\tmoduleType = moduleType || \"saver\";\n\t// Instantiate the available savers\n\tthis.savers = [];\n\tvar self = this;\n\t$tw.modules.forEachModuleOfType(moduleType,function(title,module) {\n\t\tif(module.canSave(self)) {\n\t\t\tself.savers.push(module.create(self.wiki));\n\t\t}\n\t});\n\t// Sort the savers into priority order\n\tthis.savers.sort(function(a,b) {\n\t\tif(a.info.priority < b.info.priority) {\n\t\t\treturn -1;\n\t\t} else {\n\t\t\tif(a.info.priority > b.info.priority) {\n\t\t\t\treturn +1;\n\t\t\t} else {\n\t\t\t\treturn 0;\n\t\t\t}\n\t\t}\n\t});\n};\n\n/*\nSave the wiki contents. Options are:\n\tmethod: \"save\", \"autosave\" or \"download\"\n\ttemplate: the tiddler containing the template to save\n\tdownloadType: the content type for the saved file\n*/\nSaverHandler.prototype.saveWiki = function(options) {\n\toptions = options || {};\n\tvar self = this,\n\t\tmethod = options.method || \"save\",\n\t\tvariables = options.variables || {},\n\t\ttemplate = options.template || \"$:/core/save/all\",\n\t\tdownloadType = options.downloadType || \"text/plain\",\n\t\ttext = this.wiki.renderTiddler(downloadType,template,options),\n\t\tcallback = function(err) {\n\t\t\tif(err) {\n\t\t\t\talert(\"Error while saving:\\n\\n\" + err);\n\t\t\t} else {\n\t\t\t\t// Clear the task queue if we're saving (rather than downloading)\n\t\t\t\tif(method !== \"download\") {\n\t\t\t\t\tself.numChanges = 0;\n\t\t\t\t\tself.updateDirtyStatus();\n\t\t\t\t}\n\t\t\t\t$tw.notifier.display(self.titleSavedNotification);\n\t\t\t\tif(options.callback) {\n\t\t\t\t\toptions.callback();\n\t\t\t\t}\n\t\t\t}\n\t\t};\n\t// Ignore autosave if disabled\n\tif(method === \"autosave\" && this.wiki.getTiddlerText(this.titleAutoSave,\"yes\") !== \"yes\") {\n\t\treturn false;\n\t}\n\t// Call the highest priority saver that supports this method\n\tfor(var t=this.savers.length-1; t>=0; t--) {\n\t\tvar saver = this.savers[t];\n\t\tif(saver.info.capabilities.indexOf(method) !== -1 && saver.save(text,method,callback,{variables: {filename: variables.filename}})) {\n\t\t\tthis.logger.log(\"Saving wiki with method\",method,\"through saver\",saver.info.name);\n\t\t\treturn true;\n\t\t}\n\t}\n\treturn false;\n};\n\n/*\nChecks whether the wiki is dirty (ie the window shouldn't be closed)\n*/\nSaverHandler.prototype.isDirty = function() {\n\treturn this.numChanges > 0;\n};\n\n/*\nUpdate the document body with the class \"tc-dirty\" if the wiki has unsaved/unsynced changes\n*/\nSaverHandler.prototype.updateDirtyStatus = function() {\n\tif($tw.browser) {\n\t\t$tw.utils.toggleClass(document.body,\"tc-dirty\",this.isDirty());\n\t}\n};\n\nexports.SaverHandler = SaverHandler;\n\n})();\n",
"title": "$:/core/modules/saver-handler.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/savers/andtidwiki.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/andtidwiki.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via the AndTidWiki Android app\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false, netscape: false, Components: false */\n\"use strict\";\n\nvar AndTidWiki = function(wiki) {\n};\n\nAndTidWiki.prototype.save = function(text,method,callback) {\n\t// Get the pathname of this document\n\tvar pathname = decodeURIComponent(document.location.toString().split(\"#\")[0]);\n\t// Strip the file://\n\tif(pathname.indexOf(\"file://\") === 0) {\n\t\tpathname = pathname.substr(7);\n\t}\n\t// Strip any query or location part\n\tvar p = pathname.indexOf(\"?\");\n\tif(p !== -1) {\n\t\tpathname = pathname.substr(0,p);\n\t}\n\tp = pathname.indexOf(\"#\");\n\tif(p !== -1) {\n\t\tpathname = pathname.substr(0,p);\n\t}\n\t// Save the file\n\twindow.twi.saveFile(pathname,text);\n\t// Call the callback\n\tcallback(null);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nAndTidWiki.prototype.info = {\n\tname: \"andtidwiki\",\n\tpriority: 1600,\n\tcapabilities: [\"save\", \"autosave\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn !!window.twi && !!window.twi.saveFile;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new AndTidWiki(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/andtidwiki.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/download.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/download.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via HTML5's download APIs\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar DownloadSaver = function(wiki) {\n};\n\nDownloadSaver.prototype.save = function(text,method,callback,options) {\n\toptions = options || {};\n\t// Get the current filename\n\tvar filename = options.variables.filename;\n\tif(!filename) {\n\t\tvar p = document.location.pathname.lastIndexOf(\"/\");\n\t\tif(p !== -1) {\n\t\t\tfilename = document.location.pathname.substr(p+1);\n\t\t}\n\t}\n\tif(!filename) {\n\t\tfilename = \"tiddlywiki.html\";\n\t}\n\t// Set up the link\n\tvar link = document.createElement(\"a\");\n\tlink.setAttribute(\"target\",\"_blank\");\n\tif(Blob !== undefined) {\n\t\tvar blob = new Blob([text], {type: \"text/html\"});\n\t\tlink.setAttribute(\"href\", URL.createObjectURL(blob));\n\t} else {\n\t\tlink.setAttribute(\"href\",\"data:text/html,\" + encodeURIComponent(text));\n\t}\n\tlink.setAttribute(\"download\",filename);\n\tdocument.body.appendChild(link);\n\tlink.click();\n\tdocument.body.removeChild(link);\n\t// Callback that we succeeded\n\tcallback(null);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nDownloadSaver.prototype.info = {\n\tname: \"download\",\n\tpriority: 100,\n\tcapabilities: [\"save\", \"download\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn document.createElement(\"a\").download !== undefined;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new DownloadSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/download.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/fsosaver.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/fsosaver.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via MS FileSystemObject ActiveXObject\n\nNote: Since TiddlyWiki's markup contains the MOTW, the FileSystemObject normally won't be available. \nHowever, if the wiki is loaded as an .HTA file (Windows HTML Applications) then the FSO can be used.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar FSOSaver = function(wiki) {\n};\n\nFSOSaver.prototype.save = function(text,method,callback) {\n\t// Get the pathname of this document\n\tvar pathname = unescape(document.location.pathname);\n\t// Test for a Windows path of the form /x:\\blah...\n\tif(/^\\/[A-Z]\\:\\\\[^\\\\]+/i.test(pathname)) {\t// ie: ^/[a-z]:/[^/]+\n\t\t// Remove the leading slash\n\t\tpathname = pathname.substr(1);\n\t} else if(document.location.hostname !== \"\" && /^\\/\\\\[^\\\\]+\\\\[^\\\\]+/i.test(pathname)) {\t// test for \\\\server\\share\\blah... - ^/[^/]+/[^/]+\n\t\t// Remove the leading slash\n\t\tpathname = pathname.substr(1);\n\t\t// reconstruct UNC path\n\t\tpathname = \"\\\\\\\\\" + document.location.hostname + pathname;\n\t} else {\n\t\treturn false;\n\t}\n\t// Save the file (as UTF-16)\n\tvar fso = new ActiveXObject(\"Scripting.FileSystemObject\");\n\tvar file = fso.OpenTextFile(pathname,2,-1,-1);\n\tfile.Write(text);\n\tfile.Close();\n\t// Callback that we succeeded\n\tcallback(null);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nFSOSaver.prototype.info = {\n\tname: \"FSOSaver\",\n\tpriority: 120,\n\tcapabilities: [\"save\", \"autosave\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\ttry {\n\t\treturn (window.location.protocol === \"file:\") && !!(new ActiveXObject(\"Scripting.FileSystemObject\"));\n\t} catch(e) { return false; }\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new FSOSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/fsosaver.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/manualdownload.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/manualdownload.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via HTML5's download APIs\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Title of the tiddler containing the download message\nvar downloadInstructionsTitle = \"$:/language/Modals/Download\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar ManualDownloadSaver = function(wiki) {\n};\n\nManualDownloadSaver.prototype.save = function(text,method,callback) {\n\t$tw.modal.display(downloadInstructionsTitle,{\n\t\tdownloadLink: \"data:text/html,\" + encodeURIComponent(text)\n\t});\n\t// Callback that we succeeded\n\tcallback(null);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nManualDownloadSaver.prototype.info = {\n\tname: \"manualdownload\",\n\tpriority: 0,\n\tcapabilities: [\"save\", \"download\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn true;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new ManualDownloadSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/manualdownload.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/msdownload.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/msdownload.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via window.navigator.msSaveBlob()\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar MsDownloadSaver = function(wiki) {\n};\n\nMsDownloadSaver.prototype.save = function(text,method,callback) {\n\t// Get the current filename\n\tvar filename = \"tiddlywiki.html\",\n\t\tp = document.location.pathname.lastIndexOf(\"/\");\n\tif(p !== -1) {\n\t\tfilename = document.location.pathname.substr(p+1);\n\t}\n\t// Set up the link\n\tvar blob = new Blob([text], {type: \"text/html\"});\n\twindow.navigator.msSaveBlob(blob,filename);\n\t// Callback that we succeeded\n\tcallback(null);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nMsDownloadSaver.prototype.info = {\n\tname: \"msdownload\",\n\tpriority: 110,\n\tcapabilities: [\"save\", \"download\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn !!window.navigator.msSaveBlob;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new MsDownloadSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/msdownload.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/tiddlyfox.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/tiddlyfox.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via the TiddlyFox file extension\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false, netscape: false, Components: false */\n\"use strict\";\n\nvar TiddlyFoxSaver = function(wiki) {\n};\n\nTiddlyFoxSaver.prototype.save = function(text,method,callback) {\n\tvar messageBox = document.getElementById(\"tiddlyfox-message-box\");\n\tif(messageBox) {\n\t\t// Get the pathname of this document\n\t\tvar pathname = document.location.toString().split(\"#\")[0];\n\t\t// Replace file://localhost/ with file:///\n\t\tif(pathname.indexOf(\"file://localhost/\") === 0) {\n\t\t\tpathname = \"file://\" + pathname.substr(16);\n\t\t}\n\t\t// Windows path file:///x:/blah/blah --> x:\\blah\\blah\n\t\tif(/^file\\:\\/\\/\\/[A-Z]\\:\\//i.test(pathname)) {\n\t\t\t// Remove the leading slash and convert slashes to backslashes\n\t\t\tpathname = pathname.substr(8).replace(/\\//g,\"\\\\\");\n\t\t// Firefox Windows network path file://///server/share/blah/blah --> //server/share/blah/blah\n\t\t} else if(pathname.indexOf(\"file://///\") === 0) {\n\t\t\tpathname = \"\\\\\\\\\" + unescape(pathname.substr(10)).replace(/\\//g,\"\\\\\");\n\t\t// Mac/Unix local path file:///path/path --> /path/path\n\t\t} else if(pathname.indexOf(\"file:///\") === 0) {\n\t\t\tpathname = unescape(pathname.substr(7));\n\t\t// Mac/Unix local path file:/path/path --> /path/path\n\t\t} else if(pathname.indexOf(\"file:/\") === 0) {\n\t\t\tpathname = unescape(pathname.substr(5));\n\t\t// Otherwise Windows networth path file://server/share/path/path --> \\\\server\\share\\path\\path\n\t\t} else {\n\t\t\tpathname = \"\\\\\\\\\" + unescape(pathname.substr(7)).replace(new RegExp(\"/\",\"g\"),\"\\\\\");\n\t\t}\n\t\t// Create the message element and put it in the message box\n\t\tvar message = document.createElement(\"div\");\n\t\tmessage.setAttribute(\"data-tiddlyfox-path\",decodeURIComponent(pathname));\n\t\tmessage.setAttribute(\"data-tiddlyfox-content\",text);\n\t\tmessageBox.appendChild(message);\n\t\t// Add an event handler for when the file has been saved\n\t\tmessage.addEventListener(\"tiddlyfox-have-saved-file\",function(event) {\n\t\t\tcallback(null);\n\t\t}, false);\n\t\t// Create and dispatch the custom event to the extension\n\t\tvar event = document.createEvent(\"Events\");\n\t\tevent.initEvent(\"tiddlyfox-save-file\",true,false);\n\t\tmessage.dispatchEvent(event);\n\t\treturn true;\n\t} else {\n\t\treturn false;\n\t}\n};\n\n/*\nInformation about this saver\n*/\nTiddlyFoxSaver.prototype.info = {\n\tname: \"tiddlyfox\",\n\tpriority: 1500,\n\tcapabilities: [\"save\", \"autosave\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn (window.location.protocol === \"file:\");\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new TiddlyFoxSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/tiddlyfox.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/tiddlyie.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/tiddlyie.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via Internet Explorer BHO extenion (TiddlyIE)\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar TiddlyIESaver = function(wiki) {\n};\n\nTiddlyIESaver.prototype.save = function(text,method,callback) {\n\t// Check existence of TiddlyIE BHO extension (note: only works after document is complete)\n\tif(typeof(window.TiddlyIE) != \"undefined\") {\n\t\t// Get the pathname of this document\n\t\tvar pathname = unescape(document.location.pathname);\n\t\t// Test for a Windows path of the form /x:/blah...\n\t\tif(/^\\/[A-Z]\\:\\/[^\\/]+/i.test(pathname)) {\t// ie: ^/[a-z]:/[^/]+ (is this better?: ^/[a-z]:/[^/]+(/[^/]+)*\\.[^/]+ )\n\t\t\t// Remove the leading slash\n\t\t\tpathname = pathname.substr(1);\n\t\t\t// Convert slashes to backslashes\n\t\t\tpathname = pathname.replace(/\\//g,\"\\\\\");\n\t\t} else if(document.hostname !== \"\" && /^\\/[^\\/]+\\/[^\\/]+/i.test(pathname)) {\t// test for \\\\server\\share\\blah... - ^/[^/]+/[^/]+\n\t\t\t// Convert slashes to backslashes\n\t\t\tpathname = pathname.replace(/\\//g,\"\\\\\");\n\t\t\t// reconstruct UNC path\n\t\t\tpathname = \"\\\\\\\\\" + document.location.hostname + pathname;\n\t\t} else return false;\n\t\t// Prompt the user to save the file\n\t\twindow.TiddlyIE.save(pathname, text);\n\t\t// Callback that we succeeded\n\t\tcallback(null);\n\t\treturn true;\n\t} else {\n\t\treturn false;\n\t}\n};\n\n/*\nInformation about this saver\n*/\nTiddlyIESaver.prototype.info = {\n\tname: \"tiddlyiesaver\",\n\tpriority: 1500,\n\tcapabilities: [\"save\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn (window.location.protocol === \"file:\");\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new TiddlyIESaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/tiddlyie.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/twedit.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/twedit.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via the TWEdit iOS app\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false, netscape: false, Components: false */\n\"use strict\";\n\nvar TWEditSaver = function(wiki) {\n};\n\nTWEditSaver.prototype.save = function(text,method,callback) {\n\t// Bail if we're not running under TWEdit\n\tif(typeof DeviceInfo !== \"object\") {\n\t\treturn false;\n\t}\n\t// Get the pathname of this document\n\tvar pathname = decodeURIComponent(document.location.pathname);\n\t// Strip any query or location part\n\tvar p = pathname.indexOf(\"?\");\n\tif(p !== -1) {\n\t\tpathname = pathname.substr(0,p);\n\t}\n\tp = pathname.indexOf(\"#\");\n\tif(p !== -1) {\n\t\tpathname = pathname.substr(0,p);\n\t}\n\t// Remove the leading \"/Documents\" from path\n\tvar prefix = \"/Documents\";\n\tif(pathname.indexOf(prefix) === 0) {\n\t\tpathname = pathname.substr(prefix.length);\n\t}\n\t// Error handler\n\tvar errorHandler = function(event) {\n\t\t// Error\n\t\tcallback(\"Error saving to TWEdit: \" + event.target.error.code);\n\t};\n\t// Get the file system\n\twindow.requestFileSystem(LocalFileSystem.PERSISTENT,0,function(fileSystem) {\n\t\t// Now we've got the filesystem, get the fileEntry\n\t\tfileSystem.root.getFile(pathname, {create: true}, function(fileEntry) {\n\t\t\t// Now we've got the fileEntry, create the writer\n\t\t\tfileEntry.createWriter(function(writer) {\n\t\t\t\twriter.onerror = errorHandler;\n\t\t\t\twriter.onwrite = function() {\n\t\t\t\t\tcallback(null);\n\t\t\t\t};\n\t\t\t\twriter.position = 0;\n\t\t\t\twriter.write(text);\n\t\t\t},errorHandler);\n\t\t}, errorHandler);\n\t}, errorHandler);\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nTWEditSaver.prototype.info = {\n\tname: \"twedit\",\n\tpriority: 1600,\n\tcapabilities: [\"save\", \"autosave\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn true;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new TWEditSaver(wiki);\n};\n\n/////////////////////////// Hack\n// HACK: This ensures that TWEdit recognises us as a TiddlyWiki document\nif($tw.browser) {\n\twindow.version = {title: \"TiddlyWiki\"};\n}\n\n})();\n",
"title": "$:/core/modules/savers/twedit.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/savers/upload.js": {
"text": "/*\\\ntitle: $:/core/modules/savers/upload.js\ntype: application/javascript\nmodule-type: saver\n\nHandles saving changes via upload to a server.\n\nDesigned to be compatible with BidiX's UploadPlugin at http://tiddlywiki.bidix.info/#UploadPlugin\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSelect the appropriate saver module and set it up\n*/\nvar UploadSaver = function(wiki) {\n\tthis.wiki = wiki;\n};\n\nUploadSaver.prototype.save = function(text,method,callback) {\n\t// Get the various parameters we need\n\tvar backupDir = this.wiki.getTextReference(\"$:/UploadBackupDir\") || \".\",\n\t\tusername = this.wiki.getTextReference(\"$:/UploadName\"),\n\t\tpassword = $tw.utils.getPassword(\"upload\"),\n\t\tuploadDir = this.wiki.getTextReference(\"$:/UploadDir\") || \".\",\n\t\tuploadFilename = this.wiki.getTextReference(\"$:/UploadFilename\") || \"index.html\",\n\t\turl = this.wiki.getTextReference(\"$:/UploadURL\");\n\t// Bail out if we don't have the bits we need\n\tif(!username || username.toString().trim() === \"\" || !password || password.toString().trim() === \"\") {\n\t\treturn false;\n\t}\n\t// Construct the url if not provided\n\tif(!url) {\n\t\turl = \"http://\" + username + \".tiddlyspot.com/store.cgi\";\n\t}\n\t// Assemble the header\n\tvar boundary = \"---------------------------\" + \"AaB03x\";\t\n\tvar uploadFormName = \"UploadPlugin\";\n\tvar head = [];\n\thead.push(\"--\" + boundary + \"\\r\\nContent-disposition: form-data; name=\\\"UploadPlugin\\\"\\r\\n\");\n\thead.push(\"backupDir=\" + backupDir + \";user=\" + username + \";password=\" + password + \";uploaddir=\" + uploadDir + \";;\"); \n\thead.push(\"\\r\\n\" + \"--\" + boundary);\n\thead.push(\"Content-disposition: form-data; name=\\\"userfile\\\"; filename=\\\"\" + uploadFilename + \"\\\"\");\n\thead.push(\"Content-Type: text/html;charset=UTF-8\");\n\thead.push(\"Content-Length: \" + text.length + \"\\r\\n\");\n\thead.push(\"\");\n\t// Assemble the tail and the data itself\n\tvar tail = \"\\r\\n--\" + boundary + \"--\\r\\n\",\n\t\tdata = head.join(\"\\r\\n\") + text + tail;\n\t// Do the HTTP post\n\tvar http = new XMLHttpRequest();\n\thttp.open(\"POST\",url,true,username,password);\n\thttp.setRequestHeader(\"Content-Type\",\"multipart/form-data; ;charset=UTF-8; boundary=\" + boundary);\n\thttp.onreadystatechange = function() {\n\t\tif(http.readyState == 4 && http.status == 200) {\n\t\t\tif(http.responseText.substr(0,4) === \"0 - \") {\n\t\t\t\tcallback(null);\n\t\t\t} else {\n\t\t\t\tcallback(http.responseText);\n\t\t\t}\n\t\t}\n\t};\n\ttry {\n\t\thttp.send(data);\n\t} catch(ex) {\n\t\treturn callback(\"Error:\" + ex);\n\t}\n\t$tw.notifier.display(\"$:/language/Notifications/Save/Starting\");\n\treturn true;\n};\n\n/*\nInformation about this saver\n*/\nUploadSaver.prototype.info = {\n\tname: \"upload\",\n\tpriority: 2000,\n\tcapabilities: [\"save\", \"autosave\"]\n};\n\n/*\nStatic method that returns true if this saver is capable of working\n*/\nexports.canSave = function(wiki) {\n\treturn true;\n};\n\n/*\nCreate an instance of this saver\n*/\nexports.create = function(wiki) {\n\treturn new UploadSaver(wiki);\n};\n\n})();\n",
"title": "$:/core/modules/savers/upload.js",
"type": "application/javascript",
"module-type": "saver"
},
"$:/core/modules/startup/commands.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/commands.js\ntype: application/javascript\nmodule-type: startup\n\nCommand processing\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"commands\";\nexports.platforms = [\"node\"];\nexports.after = [\"story\"];\nexports.synchronous = false;\n\nexports.startup = function(callback) {\n\t// On the server, start a commander with the command line arguments\n\tvar commander = new $tw.Commander(\n\t\t$tw.boot.argv,\n\t\tfunction(err) {\n\t\t\tif(err) {\n\t\t\t\treturn $tw.utils.error(\"Error: \" + err);\n\t\t\t}\n\t\t\tcallback();\n\t\t},\n\t\t$tw.wiki,\n\t\t{output: process.stdout, error: process.stderr}\n\t);\n\tcommander.execute();\n};\n\n})();\n",
"title": "$:/core/modules/startup/commands.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/favicon.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/favicon.js\ntype: application/javascript\nmodule-type: startup\n\nFavicon handling\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"favicon\";\nexports.platforms = [\"browser\"];\nexports.after = [\"startup\"];\nexports.synchronous = true;\n\t\t\n// Favicon tiddler\nvar FAVICON_TITLE = \"$:/favicon.ico\";\n\nexports.startup = function() {\n\t// Set up the favicon\n\tsetFavicon();\n\t// Reset the favicon when the tiddler changes\n\t$tw.wiki.addEventListener(\"change\",function(changes) {\n\t\tif($tw.utils.hop(changes,FAVICON_TITLE)) {\n\t\t\tsetFavicon();\n\t\t}\n\t});\n};\n\nfunction setFavicon() {\n\tvar tiddler = $tw.wiki.getTiddler(FAVICON_TITLE);\n\tif(tiddler) {\n\t\tvar faviconLink = document.getElementById(\"faviconLink\");\n\t\tfaviconLink.setAttribute(\"href\",\"data:\" + tiddler.fields.type + \";base64,\" + tiddler.fields.text);\n\t}\n}\n\n})();\n",
"title": "$:/core/modules/startup/favicon.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/info.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/info.js\ntype: application/javascript\nmodule-type: startup\n\nInitialise $:/info tiddlers via $:/temp/info-plugin pseudo-plugin\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"info\";\nexports.before = [\"startup\"];\nexports.after = [\"load-modules\"];\nexports.synchronous = true;\n\nexports.startup = function() {\n\t// Collect up the info tiddlers\n\tvar infoTiddlerFields = {};\n\t// Give each info module a chance to fill in as many info tiddlers as they want\n\t$tw.modules.forEachModuleOfType(\"info\",function(title,moduleExports) {\n\t\tif(moduleExports && moduleExports.getInfoTiddlerFields) {\n\t\t\tvar tiddlerFieldsArray = moduleExports.getInfoTiddlerFields(infoTiddlerFields);\n\t\t\t$tw.utils.each(tiddlerFieldsArray,function(fields) {\n\t\t\t\tif(fields) {\n\t\t\t\t\tinfoTiddlerFields[fields.title] = fields;\n\t\t\t\t}\n\t\t\t});\n\t\t}\n\t});\n\t// Bake the info tiddlers into a plugin\n\tvar fields = {\n\t\ttitle: \"$:/temp/info-plugin\",\n\t\ttype: \"application/json\",\n\t\t\"plugin-type\": \"info\",\n\t\ttext: JSON.stringify({tiddlers: infoTiddlerFields},null,$tw.config.preferences.jsonSpaces)\n\t};\n\t$tw.wiki.addTiddler(new $tw.Tiddler(fields));\n\t$tw.wiki.readPluginInfo();\n\t$tw.wiki.registerPluginTiddlers(\"info\");\n\t$tw.wiki.unpackPluginTiddlers();\n};\n\n})();\n",
"title": "$:/core/modules/startup/info.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/load-modules.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/load-modules.js\ntype: application/javascript\nmodule-type: startup\n\nLoad core modules\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"load-modules\";\nexports.synchronous = true;\n\nexports.startup = function() {\n\t// Load modules\n\t$tw.modules.applyMethods(\"utils\",$tw.utils);\n\tif($tw.node) {\n\t\t$tw.modules.applyMethods(\"utils-node\",$tw.utils);\n\t}\n\t$tw.modules.applyMethods(\"global\",$tw);\n\t$tw.modules.applyMethods(\"config\",$tw.config);\n\t$tw.Tiddler.fieldModules = $tw.modules.getModulesByTypeAsHashmap(\"tiddlerfield\");\n\t$tw.modules.applyMethods(\"tiddlermethod\",$tw.Tiddler.prototype);\n\t$tw.modules.applyMethods(\"wikimethod\",$tw.Wiki.prototype);\n\t$tw.modules.applyMethods(\"tiddlerdeserializer\",$tw.Wiki.tiddlerDeserializerModules);\n\t$tw.macros = $tw.modules.getModulesByTypeAsHashmap(\"macro\");\n\t$tw.wiki.initParsers();\n\t$tw.Commander.initCommands();\n};\n\n})();\n",
"title": "$:/core/modules/startup/load-modules.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/password.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/password.js\ntype: application/javascript\nmodule-type: startup\n\nPassword handling\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"password\";\nexports.platforms = [\"browser\"];\nexports.after = [\"startup\"];\nexports.synchronous = true;\n\nexports.startup = function() {\n\t$tw.rootWidget.addEventListener(\"tm-set-password\",function(event) {\n\t\t$tw.passwordPrompt.createPrompt({\n\t\t\tserviceName: $tw.language.getString(\"Encryption/PromptSetPassword\"),\n\t\t\tnoUserName: true,\n\t\t\tsubmitText: \"Set password\",\n\t\t\tcanCancel: true,\n\t\t\trepeatPassword: true,\n\t\t\tcallback: function(data) {\n\t\t\t\tif(data) {\n\t\t\t\t\t$tw.crypto.setPassword(data.password);\n\t\t\t\t}\n\t\t\t\treturn true; // Get rid of the password prompt\n\t\t\t}\n\t\t});\n\t});\n\t$tw.rootWidget.addEventListener(\"tm-clear-password\",function(event) {\n\t\tif($tw.browser) {\n\t\t\tif(!confirm($tw.language.getString(\"Encryption/ConfirmClearPassword\"))) {\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t\t$tw.crypto.setPassword(null);\n\t});\n\t// Ensure that $:/isEncrypted is maintained properly\n\t$tw.wiki.addEventListener(\"change\",function(changes) {\n\t\tif($tw.utils.hop(changes,\"$:/isEncrypted\")) {\n\t\t\t$tw.crypto.updateCryptoStateTiddler();\n\t\t}\n\t});\n};\n\n})();\n",
"title": "$:/core/modules/startup/password.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/render.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/render.js\ntype: application/javascript\nmodule-type: startup\n\nTitle, stylesheet and page rendering\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"render\";\nexports.platforms = [\"browser\"];\nexports.after = [\"story\"];\nexports.synchronous = true;\n\n// Default story and history lists\nvar PAGE_TITLE_TITLE = \"$:/core/wiki/title\";\nvar PAGE_STYLESHEET_TITLE = \"$:/core/ui/PageStylesheet\";\nvar PAGE_TEMPLATE_TITLE = \"$:/core/ui/PageTemplate\";\n\n// Time (in ms) that we defer refreshing changes to draft tiddlers\nvar DRAFT_TIDDLER_TIMEOUT = 400;\n\nexports.startup = function() {\n\t// Set up the title\n\t$tw.titleWidgetNode = $tw.wiki.makeTranscludeWidget(PAGE_TITLE_TITLE,{document: $tw.fakeDocument, parseAsInline: true});\n\t$tw.titleContainer = $tw.fakeDocument.createElement(\"div\");\n\t$tw.titleWidgetNode.render($tw.titleContainer,null);\n\tdocument.title = $tw.titleContainer.textContent;\n\t$tw.wiki.addEventListener(\"change\",function(changes) {\n\t\tif($tw.titleWidgetNode.refresh(changes,$tw.titleContainer,null)) {\n\t\t\tdocument.title = $tw.titleContainer.textContent;\n\t\t}\n\t});\n\t// Set up the styles\n\t$tw.styleWidgetNode = $tw.wiki.makeTranscludeWidget(PAGE_STYLESHEET_TITLE,{document: $tw.fakeDocument});\n\t$tw.styleContainer = $tw.fakeDocument.createElement(\"style\");\n\t$tw.styleWidgetNode.render($tw.styleContainer,null);\n\t$tw.styleElement = document.createElement(\"style\");\n\t$tw.styleElement.innerHTML = $tw.styleContainer.textContent;\n\tdocument.head.insertBefore($tw.styleElement,document.head.firstChild);\n\t$tw.wiki.addEventListener(\"change\",$tw.perf.report(\"styleRefresh\",function(changes) {\n\t\tif($tw.styleWidgetNode.refresh(changes,$tw.styleContainer,null)) {\n\t\t\t$tw.styleElement.innerHTML = $tw.styleContainer.textContent;\n\t\t}\n\t}));\n\t// Display the $:/core/ui/PageTemplate tiddler to kick off the display\n\t$tw.perf.report(\"mainRender\",function() {\n\t\t$tw.pageWidgetNode = $tw.wiki.makeTranscludeWidget(PAGE_TEMPLATE_TITLE,{document: document, parentWidget: $tw.rootWidget});\n\t\t$tw.pageContainer = document.createElement(\"div\");\n\t\t$tw.utils.addClass($tw.pageContainer,\"tc-page-container-wrapper\");\n\t\tdocument.body.insertBefore($tw.pageContainer,document.body.firstChild);\n\t\t$tw.pageWidgetNode.render($tw.pageContainer,null);\n\t})();\n\t// Prepare refresh mechanism\n\tvar deferredChanges = Object.create(null),\n\t\ttimerId;\n\tfunction refresh() {\n\t\t// Process the refresh\n\t\t$tw.pageWidgetNode.refresh(deferredChanges,$tw.pageContainer,null);\n\t\tdeferredChanges = Object.create(null);\n\t}\n\t// Add the change event handler\n\t$tw.wiki.addEventListener(\"change\",$tw.perf.report(\"mainRefresh\",function(changes) {\n\t\t// Check if only drafts have changed\n\t\tvar onlyDraftsHaveChanged = true;\n\t\tfor(var title in changes) {\n\t\t\tvar tiddler = $tw.wiki.getTiddler(title);\n\t\t\tif(!tiddler || !tiddler.hasField(\"draft.of\")) {\n\t\t\t\tonlyDraftsHaveChanged = false;\n\t\t\t}\n\t\t}\n\t\t// Defer the change if only drafts have changed\n\t\tif(timerId) {\n\t\t\tclearTimeout(timerId);\n\t\t}\n\t\ttimerId = null;\n\t\tif(onlyDraftsHaveChanged) {\n\t\t\ttimerId = setTimeout(refresh,DRAFT_TIDDLER_TIMEOUT);\n\t\t\t$tw.utils.extend(deferredChanges,changes);\n\t\t} else {\n\t\t\t$tw.utils.extend(deferredChanges,changes);\n\t\t\trefresh();\n\t\t}\n\t}));\n\t// Fix up the link between the root widget and the page container\n\t$tw.rootWidget.domNodes = [$tw.pageContainer];\n\t$tw.rootWidget.children = [$tw.pageWidgetNode];\n};\n\n})();\n",
"title": "$:/core/modules/startup/render.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/rootwidget.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/rootwidget.js\ntype: application/javascript\nmodule-type: startup\n\nSetup the root widget and the core root widget handlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"rootwidget\";\nexports.platforms = [\"browser\"];\nexports.after = [\"startup\"];\nexports.before = [\"story\"];\nexports.synchronous = true;\n\nexports.startup = function() {\n\t// Install the modal message mechanism\n\t$tw.modal = new $tw.utils.Modal($tw.wiki);\n\t$tw.rootWidget.addEventListener(\"tm-modal\",function(event) {\n\t\t$tw.modal.display(event.param,{variables: event.paramObject});\n\t});\n\t// Install the notification mechanism\n\t$tw.notifier = new $tw.utils.Notifier($tw.wiki);\n\t$tw.rootWidget.addEventListener(\"tm-notify\",function(event) {\n\t\t$tw.notifier.display(event.param);\n\t});\n\t// Install the scroller\n\t$tw.pageScroller = new $tw.utils.PageScroller();\n\t$tw.rootWidget.addEventListener(\"tm-scroll\",function(event) {\n\t\t$tw.pageScroller.handleEvent(event);\n\t});\n\tvar fullscreen = $tw.utils.getFullScreenApis();\n\tif(fullscreen) {\n\t\t$tw.rootWidget.addEventListener(\"tm-full-screen\",function(event) {\n\t\t\tif(document[fullscreen._fullscreenElement]) {\n\t\t\t\tdocument[fullscreen._exitFullscreen]();\n\t\t\t} else {\n\t\t\t\tdocument.documentElement[fullscreen._requestFullscreen](Element.ALLOW_KEYBOARD_INPUT);\n\t\t\t}\n\t\t});\n\t}\n\t// If we're being viewed on a data: URI then give instructions for how to save\n\tif(document.location.protocol === \"data:\") {\n\t\t$tw.rootWidget.dispatchEvent({\n\t\t\ttype: \"tm-modal\",\n\t\t\tparam: \"$:/language/Modals/SaveInstructions\"\n\t\t});\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/startup/rootwidget.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup.js": {
"text": "/*\\\ntitle: $:/core/modules/startup.js\ntype: application/javascript\nmodule-type: startup\n\nMiscellaneous startup logic for both the client and server.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"startup\";\nexports.after = [\"load-modules\"];\nexports.synchronous = true;\n\n// Set to `true` to enable performance instrumentation\nvar PERFORMANCE_INSTRUMENTATION = false;\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nexports.startup = function() {\n\tvar modules,n,m,f;\n\tif($tw.browser) {\n\t\t$tw.browser.isIE = (/msie|trident/i.test(navigator.userAgent));\n\t}\n\t$tw.version = $tw.utils.extractVersionInfo();\n\t// Set up the performance framework\n\t$tw.perf = new $tw.Performance(PERFORMANCE_INSTRUMENTATION);\n\t// Kick off the language manager and switcher\n\t$tw.language = new $tw.Language();\n\t$tw.languageSwitcher = new $tw.PluginSwitcher({\n\t\twiki: $tw.wiki,\n\t\tpluginType: \"language\",\n\t\tcontrollerTitle: \"$:/language\",\n\t\tdefaultPlugins: [\n\t\t\t\"$:/languages/en-US\"\n\t\t]\n\t});\n\t// Kick off the theme manager\n\t$tw.themeManager = new $tw.PluginSwitcher({\n\t\twiki: $tw.wiki,\n\t\tpluginType: \"theme\",\n\t\tcontrollerTitle: \"$:/theme\",\n\t\tdefaultPlugins: [\n\t\t\t\"$:/themes/tiddlywiki/snowwhite\",\n\t\t\t\"$:/themes/tiddlywiki/vanilla\"\n\t\t]\n\t});\n\t// Clear outstanding tiddler store change events to avoid an unnecessary refresh cycle at startup\n\t$tw.wiki.clearTiddlerEventQueue();\n\t// Create a root widget for attaching event handlers. By using it as the parentWidget for another widget tree, one can reuse the event handlers\n\tif($tw.browser) {\n\t\t$tw.rootWidget = new widget.widget({\n\t\t\ttype: \"widget\",\n\t\t\tchildren: []\n\t\t},{\n\t\t\twiki: $tw.wiki,\n\t\t\tdocument: document\n\t\t});\n\t}\n\t// Find a working syncadaptor\n\t$tw.syncadaptor = undefined;\n\t$tw.modules.forEachModuleOfType(\"syncadaptor\",function(title,module) {\n\t\tif(!$tw.syncadaptor && module.adaptorClass) {\n\t\t\t$tw.syncadaptor = new module.adaptorClass({wiki: $tw.wiki});\n\t\t}\n\t});\n\t// Set up the syncer object if we've got a syncadaptor\n\tif($tw.syncadaptor) {\n\t\t$tw.syncer = new $tw.Syncer({wiki: $tw.wiki, syncadaptor: $tw.syncadaptor});\n\t} \n\t// Setup the saver handler\n\t$tw.saverHandler = new $tw.SaverHandler({wiki: $tw.wiki, dirtyTracking: !$tw.syncadaptor});\n\t// Host-specific startup\n\tif($tw.browser) {\n\t\t// Install the popup manager\n\t\t$tw.popup = new $tw.utils.Popup();\n\t\t// Install the animator\n\t\t$tw.anim = new $tw.utils.Animator();\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/startup.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/startup/story.js": {
"text": "/*\\\ntitle: $:/core/modules/startup/story.js\ntype: application/javascript\nmodule-type: startup\n\nLoad core modules\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Export name and synchronous status\nexports.name = \"story\";\nexports.after = [\"startup\"];\nexports.synchronous = true;\n\n// Default story and history lists\nvar DEFAULT_STORY_TITLE = \"$:/StoryList\";\nvar DEFAULT_HISTORY_TITLE = \"$:/HistoryList\";\n\n// Default tiddlers\nvar DEFAULT_TIDDLERS_TITLE = \"$:/DefaultTiddlers\";\n\n// Config\nvar CONFIG_UPDATE_ADDRESS_BAR = \"$:/config/Navigation/UpdateAddressBar\"; // Can be \"no\", \"permalink\", \"permaview\"\nvar CONFIG_UPDATE_HISTORY = \"$:/config/Navigation/UpdateHistory\"; // Can be \"yes\" or \"no\"\n\nexports.startup = function() {\n\t// Open startup tiddlers\n\topenStartupTiddlers();\n\tif($tw.browser) {\n\t\t// Set up location hash update\n\t\t$tw.wiki.addEventListener(\"change\",function(changes) {\n\t\t\tif($tw.utils.hop(changes,DEFAULT_STORY_TITLE) || $tw.utils.hop(changes,DEFAULT_HISTORY_TITLE)) {\n\t\t\t\tupdateLocationHash({\n\t\t\t\t\tupdateAddressBar: $tw.wiki.getTiddlerText(CONFIG_UPDATE_ADDRESS_BAR,\"permaview\").trim(),\n\t\t\t\t\tupdateHistory: $tw.wiki.getTiddlerText(CONFIG_UPDATE_HISTORY,\"no\").trim()\n\t\t\t\t});\n\t\t\t}\n\t\t});\n\t\t// Listen for changes to the browser location hash\n\t\twindow.addEventListener(\"hashchange\",function() {\n\t\t\tvar hash = $tw.utils.getLocationHash();\n\t\t\tif(hash !== $tw.locationHash) {\n\t\t\t\t$tw.locationHash = hash;\n\t\t\t\topenStartupTiddlers({defaultToCurrentStory: true});\n\t\t\t}\n\t\t},false);\n\t\t// Listen for the tm-browser-refresh message\n\t\t$tw.rootWidget.addEventListener(\"tm-browser-refresh\",function(event) {\n\t\t\twindow.location.reload(true);\n\t\t});\n\t\t// Listen for the tm-home message\n\t\t$tw.rootWidget.addEventListener(\"tm-home\",function(event) {\n\t\t\twindow.location.hash = \"\";\n\t\t\tvar storyFilter = $tw.wiki.getTiddlerText(DEFAULT_TIDDLERS_TITLE),\n\t\t\t\tstoryList = $tw.wiki.filterTiddlers(storyFilter);\n\t\t\t//invoke any hooks that might change the default story list\n\t\t\tstoryList = $tw.hooks.invokeHook(\"th-opening-default-tiddlers-list\",storyList);\n\t\t\t$tw.wiki.addTiddler({title: DEFAULT_STORY_TITLE, text: \"\", list: storyList},$tw.wiki.getModificationFields());\n\t\t\tif(storyList[0]) {\n\t\t\t\t$tw.wiki.addToHistory(storyList[0]);\t\t\t\t\n\t\t\t}\n\t\t});\n\t\t// Listen for the tm-permalink message\n\t\t$tw.rootWidget.addEventListener(\"tm-permalink\",function(event) {\n\t\t\tupdateLocationHash({\n\t\t\t\tupdateAddressBar: \"permalink\",\n\t\t\t\tupdateHistory: $tw.wiki.getTiddlerText(CONFIG_UPDATE_HISTORY,\"no\").trim(),\n\t\t\t\ttargetTiddler: event.param || event.tiddlerTitle\n\t\t\t});\n\t\t});\n\t\t// Listen for the tm-permaview message\n\t\t$tw.rootWidget.addEventListener(\"tm-permaview\",function(event) {\n\t\t\tupdateLocationHash({\n\t\t\t\tupdateAddressBar: \"permaview\",\n\t\t\t\tupdateHistory: $tw.wiki.getTiddlerText(CONFIG_UPDATE_HISTORY,\"no\").trim(),\n\t\t\t\ttargetTiddler: event.param || event.tiddlerTitle\n\t\t\t});\n\t\t});\n\t}\n};\n\n/*\nProcess the location hash to open the specified tiddlers. Options:\ndefaultToCurrentStory: If true, the current story is retained as the default, instead of opening the default tiddlers\n*/\nfunction openStartupTiddlers(options) {\n\toptions = options || {};\n\t// Work out the target tiddler and the story filter. \"null\" means \"unspecified\"\n\tvar target = null,\n\t\tstoryFilter = null;\n\tif($tw.locationHash.length > 1) {\n\t\tvar hash = $tw.locationHash.substr(1),\n\t\t\tsplit = hash.indexOf(\":\");\n\t\tif(split === -1) {\n\t\t\ttarget = decodeURIComponent(hash.trim());\n\t\t} else {\n\t\t\ttarget = decodeURIComponent(hash.substr(0,split).trim());\n\t\t\tstoryFilter = decodeURIComponent(hash.substr(split + 1).trim());\n\t\t}\n\t}\n\t// If the story wasn't specified use the current tiddlers or a blank story\n\tif(storyFilter === null) {\n\t\tif(options.defaultToCurrentStory) {\n\t\t\tvar currStoryList = $tw.wiki.getTiddlerList(DEFAULT_STORY_TITLE);\n\t\t\tstoryFilter = $tw.utils.stringifyList(currStoryList);\n\t\t} else {\n\t\t\tif(target && target !== \"\") {\n\t\t\t\tstoryFilter = \"\";\n\t\t\t} else {\n\t\t\t\tstoryFilter = $tw.wiki.getTiddlerText(DEFAULT_TIDDLERS_TITLE);\n\t\t\t}\n\t\t}\n\t}\n\t// Process the story filter to get the story list\n\tvar storyList = $tw.wiki.filterTiddlers(storyFilter);\n\t//invoke any hooks that might change the default story list\n\tstoryList = $tw.hooks.invokeHook(\"th-opening-default-tiddlers-list\",storyList);\n\t// If the target tiddler isn't included then splice it in at the top\n\tif(target && storyList.indexOf(target) === -1) {\n\t\tstoryList.unshift(target);\n\t}\n\t// Save the story list\n\t$tw.wiki.addTiddler({title: DEFAULT_STORY_TITLE, text: \"\", list: storyList},$tw.wiki.getModificationFields());\n\t// If a target tiddler was specified add it to the history stack\n\tif(target && target !== \"\") {\n\t\t// The target tiddler doesn't need double square brackets, but we'll silently remove them if they're present\n\t\tif(target.indexOf(\"[[\") === 0 && target.substr(-2) === \"]]\") {\n\t\t\ttarget = target.substr(2,target.length - 4);\n\t\t}\n\t\t$tw.wiki.addToHistory(target);\n\t} else if(storyList.length > 0) {\n\t\t$tw.wiki.addToHistory(storyList[0]);\n\t}\n}\n\n/*\noptions: See below\noptions.updateAddressBar: \"permalink\", \"permaview\" or \"no\" (defaults to \"permaview\")\noptions.updateHistory: \"yes\" or \"no\" (defaults to \"no\")\noptions.targetTiddler: optional title of target tiddler for permalink\n*/\nfunction updateLocationHash(options) {\n\tif(options.updateAddressBar !== \"no\") {\n\t\t// Get the story and the history stack\n\t\tvar storyList = $tw.wiki.getTiddlerList(DEFAULT_STORY_TITLE),\n\t\t\thistoryList = $tw.wiki.getTiddlerData(DEFAULT_HISTORY_TITLE,[]),\n\t\t\ttargetTiddler = \"\";\n\t\tif(options.targetTiddler) {\n\t\t\ttargetTiddler = options.targetTiddler;\n\t\t} else {\n\t\t\t// The target tiddler is the one at the top of the stack\n\t\t\tif(historyList.length > 0) {\n\t\t\t\ttargetTiddler = historyList[historyList.length-1].title;\n\t\t\t}\n\t\t\t// Blank the target tiddler if it isn't present in the story\n\t\t\tif(storyList.indexOf(targetTiddler) === -1) {\n\t\t\t\ttargetTiddler = \"\";\n\t\t\t}\n\t\t}\n\t\t// Assemble the location hash\n\t\tif(options.updateAddressBar === \"permalink\") {\n\t\t\t$tw.locationHash = \"#\" + encodeURIComponent(targetTiddler);\n\t\t} else {\n\t\t\t$tw.locationHash = \"#\" + encodeURIComponent(targetTiddler) + \":\" + encodeURIComponent($tw.utils.stringifyList(storyList));\n\t\t}\n\t\t// Only change the location hash if we must, thus avoiding unnecessary onhashchange events\n\t\tif($tw.utils.getLocationHash() !== $tw.locationHash) {\n\t\t\tif(options.updateHistory === \"yes\") {\n\t\t\t\t// Assign the location hash so that history is updated\n\t\t\t\twindow.location.hash = $tw.locationHash;\n\t\t\t} else {\n\t\t\t\t// We use replace so that browser history isn't affected\n\t\t\t\twindow.location.replace(window.location.toString().split(\"#\")[0] + $tw.locationHash);\n\t\t\t}\n\t\t}\n\t}\n}\n\n})();\n",
"title": "$:/core/modules/startup/story.js",
"type": "application/javascript",
"module-type": "startup"
},
"$:/core/modules/storyviews/classic.js": {
"text": "/*\\\ntitle: $:/core/modules/storyviews/classic.js\ntype: application/javascript\nmodule-type: storyview\n\nViews the story as a linear sequence\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar easing = \"cubic-bezier(0.645, 0.045, 0.355, 1)\"; // From http://easings.net/#easeInOutCubic\n\nvar ClassicStoryView = function(listWidget) {\n\tthis.listWidget = listWidget;\n};\n\nClassicStoryView.prototype.navigateTo = function(historyInfo) {\n\tvar listElementIndex = this.listWidget.findListItem(0,historyInfo.title);\n\tif(listElementIndex === undefined) {\n\t\treturn;\n\t}\n\tvar listItemWidget = this.listWidget.children[listElementIndex],\n\t\ttargetElement = listItemWidget.findFirstDomNode();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Scroll the node into view\n\tthis.listWidget.dispatchEvent({type: \"tm-scroll\", target: targetElement});\n};\n\nClassicStoryView.prototype.insert = function(widget) {\n\tvar targetElement = widget.findFirstDomNode(),\n\t\tduration = $tw.utils.getAnimationDuration();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Get the current height of the tiddler\n\tvar computedStyle = window.getComputedStyle(targetElement),\n\t\tcurrMarginBottom = parseInt(computedStyle.marginBottom,10),\n\t\tcurrMarginTop = parseInt(computedStyle.marginTop,10),\n\t\tcurrHeight = targetElement.offsetHeight + currMarginTop;\n\t// Reset the margin once the transition is over\n\tsetTimeout(function() {\n\t\t$tw.utils.setStyle(targetElement,[\n\t\t\t{transition: \"none\"},\n\t\t\t{marginBottom: \"\"}\n\t\t]);\n\t},duration);\n\t// Set up the initial position of the element\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: \"none\"},\n\t\t{marginBottom: (-currHeight) + \"px\"},\n\t\t{opacity: \"0.0\"}\n\t]);\n\t$tw.utils.forceLayout(targetElement);\n\t// Transition to the final position\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: \"opacity \" + duration + \"ms \" + easing + \", \" +\n\t\t\t\t\t\"margin-bottom \" + duration + \"ms \" + easing},\n\t\t{marginBottom: currMarginBottom + \"px\"},\n\t\t{opacity: \"1.0\"}\n\t]);\n};\n\nClassicStoryView.prototype.remove = function(widget) {\n\tvar targetElement = widget.findFirstDomNode(),\n\t\tduration = $tw.utils.getAnimationDuration(),\n\t\tremoveElement = function() {\n\t\t\twidget.removeChildDomNodes();\n\t\t};\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\tremoveElement();\n\t\treturn;\n\t}\n\t// Get the current height of the tiddler\n\tvar currWidth = targetElement.offsetWidth,\n\t\tcomputedStyle = window.getComputedStyle(targetElement),\n\t\tcurrMarginBottom = parseInt(computedStyle.marginBottom,10),\n\t\tcurrMarginTop = parseInt(computedStyle.marginTop,10),\n\t\tcurrHeight = targetElement.offsetHeight + currMarginTop;\n\t// Remove the dom nodes of the widget at the end of the transition\n\tsetTimeout(removeElement,duration);\n\t// Animate the closure\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: \"none\"},\n\t\t{transform: \"translateX(0px)\"},\n\t\t{marginBottom: currMarginBottom + \"px\"},\n\t\t{opacity: \"1.0\"}\n\t]);\n\t$tw.utils.forceLayout(targetElement);\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms \" + easing + \", \" +\n\t\t\t\t\t\"opacity \" + duration + \"ms \" + easing + \", \" +\n\t\t\t\t\t\"margin-bottom \" + duration + \"ms \" + easing},\n\t\t{transform: \"translateX(-\" + currWidth + \"px)\"},\n\t\t{marginBottom: (-currHeight) + \"px\"},\n\t\t{opacity: \"0.0\"}\n\t]);\n};\n\nexports.classic = ClassicStoryView;\n\n})();",
"title": "$:/core/modules/storyviews/classic.js",
"type": "application/javascript",
"module-type": "storyview"
},
"$:/core/modules/storyviews/pop.js": {
"text": "/*\\\ntitle: $:/core/modules/storyviews/pop.js\ntype: application/javascript\nmodule-type: storyview\n\nAnimates list insertions and removals\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar PopStoryView = function(listWidget) {\n\tthis.listWidget = listWidget;\n};\n\nPopStoryView.prototype.navigateTo = function(historyInfo) {\n\tvar listElementIndex = this.listWidget.findListItem(0,historyInfo.title);\n\tif(listElementIndex === undefined) {\n\t\treturn;\n\t}\n\tvar listItemWidget = this.listWidget.children[listElementIndex],\n\t\ttargetElement = listItemWidget.findFirstDomNode();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Scroll the node into view\n\tthis.listWidget.dispatchEvent({type: \"tm-scroll\", target: targetElement});\n};\n\nPopStoryView.prototype.insert = function(widget) {\n\tvar targetElement = widget.findFirstDomNode(),\n\t\tduration = $tw.utils.getAnimationDuration();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Reset once the transition is over\n\tsetTimeout(function() {\n\t\t$tw.utils.setStyle(targetElement,[\n\t\t\t{transition: \"none\"},\n\t\t\t{transform: \"none\"}\n\t\t]);\n\t},duration);\n\t// Set up the initial position of the element\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: \"none\"},\n\t\t{transform: \"scale(2)\"},\n\t\t{opacity: \"0.0\"}\n\t]);\n\t$tw.utils.forceLayout(targetElement);\n\t// Transition to the final position\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"opacity \" + duration + \"ms ease-in-out\"},\n\t\t{transform: \"scale(1)\"},\n\t\t{opacity: \"1.0\"}\n\t]);\n};\n\nPopStoryView.prototype.remove = function(widget) {\n\tvar targetElement = widget.findFirstDomNode(),\n\t\tduration = $tw.utils.getAnimationDuration(),\n\t\tremoveElement = function() {\n\t\t\tif(targetElement.parentNode) {\n\t\t\t\twidget.removeChildDomNodes();\n\t\t\t}\n\t\t};\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\tremoveElement();\n\t\treturn;\n\t}\n\t// Remove the element at the end of the transition\n\tsetTimeout(removeElement,duration);\n\t// Animate the closure\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: \"none\"},\n\t\t{transform: \"scale(1)\"},\n\t\t{opacity: \"1.0\"}\n\t]);\n\t$tw.utils.forceLayout(targetElement);\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"opacity \" + duration + \"ms ease-in-out\"},\n\t\t{transform: \"scale(0.1)\"},\n\t\t{opacity: \"0.0\"}\n\t]);\n};\n\nexports.pop = PopStoryView;\n\n})();\n",
"title": "$:/core/modules/storyviews/pop.js",
"type": "application/javascript",
"module-type": "storyview"
},
"$:/core/modules/storyviews/zoomin.js": {
"text": "/*\\\ntitle: $:/core/modules/storyviews/zoomin.js\ntype: application/javascript\nmodule-type: storyview\n\nZooms between individual tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar easing = \"cubic-bezier(0.645, 0.045, 0.355, 1)\"; // From http://easings.net/#easeInOutCubic\n\nvar ZoominListView = function(listWidget) {\n\tvar self = this;\n\tthis.listWidget = listWidget;\n\t// Get the index of the tiddler that is at the top of the history\n\tvar history = this.listWidget.wiki.getTiddlerData(this.listWidget.historyTitle,[]),\n\t\ttargetTiddler;\n\tif(history.length > 0) {\n\t\ttargetTiddler = history[history.length-1].title;\n\t}\n\t// Make all the tiddlers position absolute, and hide all but the top (or first) one\n\t$tw.utils.each(this.listWidget.children,function(itemWidget,index) {\n\t\tvar domNode = itemWidget.findFirstDomNode();\n\t\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\t\tif(!(domNode instanceof Element)) {\n\t\t\treturn;\n\t\t}\n\t\tif(targetTiddler !== itemWidget.parseTreeNode.itemTitle || (!targetTiddler && index)) {\n\t\t\tdomNode.style.display = \"none\";\n\t\t} else {\n\t\t\tself.currentTiddlerDomNode = domNode;\n\t\t}\n\t\t$tw.utils.addClass(domNode,\"tc-storyview-zoomin-tiddler\");\n\t});\n};\n\nZoominListView.prototype.navigateTo = function(historyInfo) {\n\tvar duration = $tw.utils.getAnimationDuration(),\n\t\tlistElementIndex = this.listWidget.findListItem(0,historyInfo.title);\n\tif(listElementIndex === undefined) {\n\t\treturn;\n\t}\n\tvar listItemWidget = this.listWidget.children[listElementIndex],\n\t\ttargetElement = listItemWidget.findFirstDomNode();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Make the new tiddler be position absolute and visible so that we can measure it\n\t$tw.utils.addClass(targetElement,\"tc-storyview-zoomin-tiddler\");\n\t$tw.utils.setStyle(targetElement,[\n\t\t{display: \"block\"},\n\t\t{transformOrigin: \"0 0\"},\n\t\t{transform: \"translateX(0px) translateY(0px) scale(1)\"},\n\t\t{transition: \"none\"},\n\t\t{opacity: \"0.0\"}\n\t]);\n\t// Get the position of the source node, or use the centre of the window as the source position\n\tvar sourceBounds = historyInfo.fromPageRect || {\n\t\t\tleft: window.innerWidth/2 - 2,\n\t\t\ttop: window.innerHeight/2 - 2,\n\t\t\twidth: window.innerWidth/8,\n\t\t\theight: window.innerHeight/8\n\t\t};\n\t// Try to find the title node in the target tiddler\n\tvar titleDomNode = findTitleDomNode(listItemWidget) || listItemWidget.findFirstDomNode(),\n\t\tzoomBounds = titleDomNode.getBoundingClientRect();\n\t// Compute the transform for the target tiddler to make the title lie over the source rectange\n\tvar targetBounds = targetElement.getBoundingClientRect(),\n\t\tscale = sourceBounds.width / zoomBounds.width,\n\t\tx = sourceBounds.left - targetBounds.left - (zoomBounds.left - targetBounds.left) * scale,\n\t\ty = sourceBounds.top - targetBounds.top - (zoomBounds.top - targetBounds.top) * scale;\n\t// Transform the target tiddler to its starting position\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transform: \"translateX(\" + x + \"px) translateY(\" + y + \"px) scale(\" + scale + \")\"}\n\t]);\n\t// Force layout\n\t$tw.utils.forceLayout(targetElement);\n\t// Apply the ending transitions with a timeout to ensure that the previously applied transformations are applied first\n\tvar self = this,\n\t\tprevCurrentTiddler = this.currentTiddlerDomNode;\n\tthis.currentTiddlerDomNode = targetElement;\n\t// Transform the target tiddler to its natural size\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms \" + easing + \", opacity \" + duration + \"ms \" + easing},\n\t\t{opacity: \"1.0\"},\n\t\t{transform: \"translateX(0px) translateY(0px) scale(1)\"},\n\t\t{zIndex: \"500\"},\n\t]);\n\t// Transform the previous tiddler out of the way and then hide it\n\tif(prevCurrentTiddler && prevCurrentTiddler !== targetElement) {\n\t\tscale = zoomBounds.width / sourceBounds.width;\n\t\tx = zoomBounds.left - targetBounds.left - (sourceBounds.left - targetBounds.left) * scale;\n\t\ty = zoomBounds.top - targetBounds.top - (sourceBounds.top - targetBounds.top) * scale;\n\t\t$tw.utils.setStyle(prevCurrentTiddler,[\n\t\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms \" + easing + \", opacity \" + duration + \"ms \" + easing},\n\t\t\t{opacity: \"0.0\"},\n\t\t\t{transformOrigin: \"0 0\"},\n\t\t\t{transform: \"translateX(\" + x + \"px) translateY(\" + y + \"px) scale(\" + scale + \")\"},\n\t\t\t{zIndex: \"0\"}\n\t\t]);\n\t\t// Hide the tiddler when the transition has finished\n\t\tsetTimeout(function() {\n\t\t\tif(self.currentTiddlerDomNode !== prevCurrentTiddler) {\n\t\t\t\tprevCurrentTiddler.style.display = \"none\";\n\t\t\t}\n\t\t},duration);\n\t}\n\t// Scroll the target into view\n//\t$tw.pageScroller.scrollIntoView(targetElement);\n};\n\n/*\nFind the first child DOM node of a widget that has the class \"tc-title\"\n*/\nfunction findTitleDomNode(widget,targetClass) {\n\ttargetClass = targetClass || \"tc-title\";\n\tvar domNode = widget.findFirstDomNode();\n\tif(domNode && domNode.querySelector) {\n\t\treturn domNode.querySelector(\".\" + targetClass);\n\t}\n\treturn null;\n}\n\nZoominListView.prototype.insert = function(widget) {\n\tvar targetElement = widget.findFirstDomNode();\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\treturn;\n\t}\n\t// Make the newly inserted node position absolute and hidden\n\t$tw.utils.addClass(targetElement,\"tc-storyview-zoomin-tiddler\");\n\t$tw.utils.setStyle(targetElement,[\n\t\t{display: \"none\"}\n\t]);\n};\n\nZoominListView.prototype.remove = function(widget) {\n\tvar targetElement = widget.findFirstDomNode(),\n\t\tduration = $tw.utils.getAnimationDuration(),\n\t\tremoveElement = function() {\n\t\t\twidget.removeChildDomNodes();\n\t\t};\n\t// Abandon if the list entry isn't a DOM element (it might be a text node)\n\tif(!(targetElement instanceof Element)) {\n\t\tremoveElement();\n\t\treturn;\n\t}\n\t// Set up the tiddler that is being closed\n\t$tw.utils.addClass(targetElement,\"tc-storyview-zoomin-tiddler\");\n\t$tw.utils.setStyle(targetElement,[\n\t\t{display: \"block\"},\n\t\t{transformOrigin: \"50% 50%\"},\n\t\t{transform: \"translateX(0px) translateY(0px) scale(1)\"},\n\t\t{transition: \"none\"},\n\t\t{zIndex: \"0\"}\n\t]);\n\t// We'll move back to the previous or next element in the story\n\tvar toWidget = widget.previousSibling();\n\tif(!toWidget) {\n\t\ttoWidget = widget.nextSibling();\n\t}\n\tvar toWidgetDomNode = toWidget && toWidget.findFirstDomNode();\n\t// Set up the tiddler we're moving back in\n\tif(toWidgetDomNode) {\n\t\t$tw.utils.addClass(toWidgetDomNode,\"tc-storyview-zoomin-tiddler\");\n\t\t$tw.utils.setStyle(toWidgetDomNode,[\n\t\t\t{display: \"block\"},\n\t\t\t{transformOrigin: \"50% 50%\"},\n\t\t\t{transform: \"translateX(0px) translateY(0px) scale(10)\"},\n\t\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms \" + easing + \", opacity \" + duration + \"ms \" + easing},\n\t\t\t{opacity: \"0\"},\n\t\t\t{zIndex: \"500\"}\n\t\t]);\n\t\tthis.currentTiddlerDomNode = toWidgetDomNode;\n\t}\n\t// Animate them both\n\t// Force layout\n\t$tw.utils.forceLayout(this.listWidget.parentDomNode);\n\t// First, the tiddler we're closing\n\t$tw.utils.setStyle(targetElement,[\n\t\t{transformOrigin: \"50% 50%\"},\n\t\t{transform: \"translateX(0px) translateY(0px) scale(0.1)\"},\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms \" + easing + \", opacity \" + duration + \"ms \" + easing},\n\t\t{opacity: \"0\"},\n\t\t{zIndex: \"0\"}\n\t]);\n\tsetTimeout(removeElement,duration);\n\t// Now the tiddler we're going back to\n\tif(toWidgetDomNode) {\n\t\t$tw.utils.setStyle(toWidgetDomNode,[\n\t\t\t{transform: \"translateX(0px) translateY(0px) scale(1)\"},\n\t\t\t{opacity: \"1\"}\n\t\t]);\n\t}\n\treturn true; // Indicate that we'll delete the DOM node\n};\n\nexports.zoomin = ZoominListView;\n\n})();",
"title": "$:/core/modules/storyviews/zoomin.js",
"type": "application/javascript",
"module-type": "storyview"
},
"$:/core/modules/syncer.js": {
"text": "/*\\\ntitle: $:/core/modules/syncer.js\ntype: application/javascript\nmodule-type: global\n\nThe syncer tracks changes to the store. If a syncadaptor is used then individual tiddlers are synchronised through it. If there is no syncadaptor then the entire wiki is saved via saver modules.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nInstantiate the syncer with the following options:\nsyncadaptor: reference to syncadaptor to be used\nwiki: wiki to be synced\n*/\nfunction Syncer(options) {\n\tvar self = this;\n\tthis.wiki = options.wiki;\n\tthis.syncadaptor = options.syncadaptor;\n\t// Make a logger\n\tthis.logger = new $tw.utils.Logger(\"syncer\" + ($tw.browser ? \"-browser\" : \"\") + ($tw.node ? \"-server\" : \"\"));\n\t// Compile the dirty tiddler filter\n\tthis.filterFn = this.wiki.compileFilter(this.wiki.getTiddlerText(this.titleSyncFilter));\n\t// Record information for known tiddlers\n\tthis.readTiddlerInfo();\n\t// Tasks are {type: \"load\"/\"save\"/\"delete\", title:, queueTime:, lastModificationTime:}\n\tthis.taskQueue = {}; // Hashmap of tasks yet to be performed\n\tthis.taskInProgress = {}; // Hash of tasks in progress\n\tthis.taskTimerId = null; // Timer for task dispatch\n\tthis.pollTimerId = null; // Timer for polling server\n\t// Listen out for changes to tiddlers\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\tself.syncToServer(changes);\n\t});\n\t// Browser event handlers\n\tif($tw.browser) {\n\t\t// Set up our beforeunload handler\n\t\twindow.addEventListener(\"beforeunload\",function(event) {\n\t\t\tvar confirmationMessage;\n\t\t\tif(self.isDirty()) {\n\t\t\t\tconfirmationMessage = $tw.language.getString(\"UnsavedChangesWarning\");\n\t\t\t\tevent.returnValue = confirmationMessage; // Gecko\n\t\t\t}\n\t\t\treturn confirmationMessage;\n\t\t});\n\t\t// Listen out for login/logout/refresh events in the browser\n\t\t$tw.rootWidget.addEventListener(\"tm-login\",function() {\n\t\t\tself.handleLoginEvent();\n\t\t});\n\t\t$tw.rootWidget.addEventListener(\"tm-logout\",function() {\n\t\t\tself.handleLogoutEvent();\n\t\t});\n\t\t$tw.rootWidget.addEventListener(\"tm-server-refresh\",function() {\n\t\t\tself.handleRefreshEvent();\n\t\t});\n\t}\n\t// Listen out for lazyLoad events\n\tthis.wiki.addEventListener(\"lazyLoad\",function(title) {\n\t\tself.handleLazyLoadEvent(title);\n\t});\n\t// Get the login status\n\tthis.getStatus(function(err,isLoggedIn) {\n\t\t// Do a sync from the server\n\t\tself.syncFromServer();\n\t});\n}\n\n/*\nConstants\n*/\nSyncer.prototype.titleIsLoggedIn = \"$:/status/IsLoggedIn\";\nSyncer.prototype.titleUserName = \"$:/status/UserName\";\nSyncer.prototype.titleSyncFilter = \"$:/config/SyncFilter\";\nSyncer.prototype.titleSavedNotification = \"$:/language/Notifications/Save/Done\";\nSyncer.prototype.taskTimerInterval = 1 * 1000; // Interval for sync timer\nSyncer.prototype.throttleInterval = 1 * 1000; // Defer saving tiddlers if they've changed in the last 1s...\nSyncer.prototype.fallbackInterval = 10 * 1000; // Unless the task is older than 10s\nSyncer.prototype.pollTimerInterval = 60 * 1000; // Interval for polling for changes from the adaptor\n\n\n/*\nRead (or re-read) the latest tiddler info from the store\n*/\nSyncer.prototype.readTiddlerInfo = function() {\n\t// Hashmap by title of {revision:,changeCount:,adaptorInfo:}\n\tthis.tiddlerInfo = {};\n\t// Record information for known tiddlers\n\tvar self = this,\n\t\ttiddlers = this.filterFn.call(this.wiki);\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar tiddler = self.wiki.getTiddler(title);\n\t\tself.tiddlerInfo[title] = {\n\t\t\trevision: tiddler.fields.revision,\n\t\t\tadaptorInfo: self.syncadaptor && self.syncadaptor.getTiddlerInfo(tiddler),\n\t\t\tchangeCount: self.wiki.getChangeCount(title)\n\t\t};\n\t});\n};\n\n/*\nChecks whether the wiki is dirty (ie the window shouldn't be closed)\n*/\nSyncer.prototype.isDirty = function() {\n\treturn (this.numTasksInQueue() > 0) || (this.numTasksInProgress() > 0);\n};\n\n/*\nUpdate the document body with the class \"tc-dirty\" if the wiki has unsaved/unsynced changes\n*/\nSyncer.prototype.updateDirtyStatus = function() {\n\tif($tw.browser) {\n\t\t$tw.utils.toggleClass(document.body,\"tc-dirty\",this.isDirty());\n\t}\n};\n\n/*\nSave an incoming tiddler in the store, and updates the associated tiddlerInfo\n*/\nSyncer.prototype.storeTiddler = function(tiddlerFields) {\n\t// Save the tiddler\n\tvar tiddler = new $tw.Tiddler(this.wiki.getTiddler(tiddlerFields.title),tiddlerFields);\n\tthis.wiki.addTiddler(tiddler);\n\t// Save the tiddler revision and changeCount details\n\tthis.tiddlerInfo[tiddlerFields.title] = {\n\t\trevision: tiddlerFields.revision,\n\t\tadaptorInfo: this.syncadaptor.getTiddlerInfo(tiddler),\n\t\tchangeCount: this.wiki.getChangeCount(tiddlerFields.title)\n\t};\n};\n\nSyncer.prototype.getStatus = function(callback) {\n\tvar self = this;\n\t// Check if the adaptor supports getStatus()\n\tif(this.syncadaptor && this.syncadaptor.getStatus) {\n\t\t// Mark us as not logged in\n\t\tthis.wiki.addTiddler({title: this.titleIsLoggedIn,text: \"no\"});\n\t\t// Get login status\n\t\tthis.syncadaptor.getStatus(function(err,isLoggedIn,username) {\n\t\t\tif(err) {\n\t\t\t\tself.logger.alert(err);\n\t\t\t\treturn;\n\t\t\t}\n\t\t\t// Set the various status tiddlers\n\t\t\tself.wiki.addTiddler({title: self.titleIsLoggedIn,text: isLoggedIn ? \"yes\" : \"no\"});\n\t\t\tif(isLoggedIn) {\n\t\t\t\tself.wiki.addTiddler({title: self.titleUserName,text: username || \"\"});\n\t\t\t} else {\n\t\t\t\tself.wiki.deleteTiddler(self.titleUserName);\n\t\t\t}\n\t\t\t// Invoke the callback\n\t\t\tif(callback) {\n\t\t\t\tcallback(err,isLoggedIn,username);\n\t\t\t}\n\t\t});\n\t} else {\n\t\tcallback(null,true,\"UNAUTHENTICATED\");\n\t}\n};\n\n/*\nSynchronise from the server by reading the skinny tiddler list and queuing up loads for any tiddlers that we don't already have up to date\n*/\nSyncer.prototype.syncFromServer = function() {\n\tif(this.syncadaptor && this.syncadaptor.getSkinnyTiddlers) {\n\t\tthis.logger.log(\"Retrieving skinny tiddler list\");\n\t\tvar self = this;\n\t\tif(this.pollTimerId) {\n\t\t\tclearTimeout(this.pollTimerId);\n\t\t\tthis.pollTimerId = null;\n\t\t}\n\t\tthis.syncadaptor.getSkinnyTiddlers(function(err,tiddlers) {\n\t\t\t// Trigger the next sync\n\t\t\tself.pollTimerId = setTimeout(function() {\n\t\t\t\tself.pollTimerId = null;\n\t\t\t\tself.syncFromServer.call(self);\n\t\t\t},self.pollTimerInterval);\n\t\t\t// Check for errors\n\t\t\tif(err) {\n\t\t\t\tself.logger.alert(\"Error retrieving skinny tiddler list:\",err);\n\t\t\t\treturn;\n\t\t\t}\n\t\t\t// Process each incoming tiddler\n\t\t\tfor(var t=0; t<tiddlers.length; t++) {\n\t\t\t\t// Get the incoming tiddler fields, and the existing tiddler\n\t\t\t\tvar tiddlerFields = tiddlers[t],\n\t\t\t\t\tincomingRevision = tiddlerFields.revision + \"\",\n\t\t\t\t\ttiddler = self.wiki.getTiddler(tiddlerFields.title),\n\t\t\t\t\ttiddlerInfo = self.tiddlerInfo[tiddlerFields.title],\n\t\t\t\t\tcurrRevision = tiddlerInfo ? tiddlerInfo.revision : null;\n\t\t\t\t// Ignore the incoming tiddler if it's the same as the revision we've already got\n\t\t\t\tif(currRevision !== incomingRevision) {\n\t\t\t\t\t// Do a full load if we've already got a fat version of the tiddler\n\t\t\t\t\tif(tiddler && tiddler.fields.text !== undefined) {\n\t\t\t\t\t\t// Do a full load of this tiddler\n\t\t\t\t\t\tself.enqueueSyncTask({\n\t\t\t\t\t\t\ttype: \"load\",\n\t\t\t\t\t\t\ttitle: tiddlerFields.title\n\t\t\t\t\t\t});\n\t\t\t\t\t} else {\n\t\t\t\t\t\t// Load the skinny version of the tiddler\n\t\t\t\t\t\tself.storeTiddler(tiddlerFields);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t});\n\t}\n};\n\n/*\nSynchronise a set of changes to the server\n*/\nSyncer.prototype.syncToServer = function(changes) {\n\tvar self = this,\n\t\tnow = Date.now(),\n\t\tfilteredChanges = this.filterFn.call(this.wiki,function(callback) {\n\t\t\t$tw.utils.each(changes,function(change,title) {\n\t\t\t\tvar tiddler = self.wiki.getTiddler(title);\n\t\t\t\tcallback(tiddler,title);\n\t\t\t});\n\t\t});\n\t$tw.utils.each(changes,function(change,title,object) {\n\t\t// Process the change if it is a deletion of a tiddler we're already syncing, or is on the filtered change list\n\t\tif((change.deleted && $tw.utils.hop(self.tiddlerInfo,title)) || filteredChanges.indexOf(title) !== -1) {\n\t\t\t// Queue a task to sync this tiddler\n\t\t\tself.enqueueSyncTask({\n\t\t\t\ttype: change.deleted ? \"delete\" : \"save\",\n\t\t\t\ttitle: title\n\t\t\t});\n\t\t}\n\t});\n};\n\n/*\nLazily load a skinny tiddler if we can\n*/\nSyncer.prototype.handleLazyLoadEvent = function(title) {\n\t// Queue up a sync task to load this tiddler\n\tthis.enqueueSyncTask({\n\t\ttype: \"load\",\n\t\ttitle: title\n\t});\n};\n\n/*\nDispay a password prompt and allow the user to login\n*/\nSyncer.prototype.handleLoginEvent = function() {\n\tvar self = this;\n\tthis.getStatus(function(err,isLoggedIn,username) {\n\t\tif(!isLoggedIn) {\n\t\t\t$tw.passwordPrompt.createPrompt({\n\t\t\t\tserviceName: \"Login to TiddlySpace\",\n\t\t\t\tcallback: function(data) {\n\t\t\t\t\tself.login(data.username,data.password,function(err,isLoggedIn) {\n\t\t\t\t\t\tself.syncFromServer();\n\t\t\t\t\t});\n\t\t\t\t\treturn true; // Get rid of the password prompt\n\t\t\t\t}\n\t\t\t});\n\t\t}\n\t});\n};\n\n/*\nAttempt to login to TiddlyWeb.\n\tusername: username\n\tpassword: password\n\tcallback: invoked with arguments (err,isLoggedIn)\n*/\nSyncer.prototype.login = function(username,password,callback) {\n\tthis.logger.log(\"Attempting to login as\",username);\n\tvar self = this;\n\tif(this.syncadaptor.login) {\n\t\tthis.syncadaptor.login(username,password,function(err) {\n\t\t\tif(err) {\n\t\t\t\treturn callback(err);\n\t\t\t}\n\t\t\tself.getStatus(function(err,isLoggedIn,username) {\n\t\t\t\tif(callback) {\n\t\t\t\t\tcallback(null,isLoggedIn);\n\t\t\t\t}\n\t\t\t});\n\t\t});\n\t} else {\n\t\tcallback(null,true);\n\t}\n};\n\n/*\nAttempt to log out of TiddlyWeb\n*/\nSyncer.prototype.handleLogoutEvent = function() {\n\tthis.logger.log(\"Attempting to logout\");\n\tvar self = this;\n\tif(this.syncadaptor.logout) {\n\t\tthis.syncadaptor.logout(function(err) {\n\t\t\tif(err) {\n\t\t\t\tself.logger.alert(err);\n\t\t\t} else {\n\t\t\t\tself.getStatus();\n\t\t\t}\n\t\t});\n\t}\n};\n\n/*\nImmediately refresh from the server\n*/\nSyncer.prototype.handleRefreshEvent = function() {\n\tthis.syncFromServer();\n};\n\n/*\nQueue up a sync task. If there is already a pending task for the tiddler, just update the last modification time\n*/\nSyncer.prototype.enqueueSyncTask = function(task) {\n\tvar self = this,\n\t\tnow = Date.now();\n\t// Set the timestamps on this task\n\ttask.queueTime = now;\n\ttask.lastModificationTime = now;\n\t// Fill in some tiddlerInfo if the tiddler is one we haven't seen before\n\tif(!$tw.utils.hop(this.tiddlerInfo,task.title)) {\n\t\tthis.tiddlerInfo[task.title] = {\n\t\t\trevision: null,\n\t\t\tadaptorInfo: {},\n\t\t\tchangeCount: -1\n\t\t};\n\t}\n\t// Bail if this is a save and the tiddler is already at the changeCount that the server has\n\tif(task.type === \"save\" && this.wiki.getChangeCount(task.title) <= this.tiddlerInfo[task.title].changeCount) {\n\t\treturn;\n\t}\n\t// Check if this tiddler is already in the queue\n\tif($tw.utils.hop(this.taskQueue,task.title)) {\n\t\t// this.logger.log(\"Re-queueing up sync task with type:\",task.type,\"title:\",task.title);\n\t\tvar existingTask = this.taskQueue[task.title];\n\t\t// If so, just update the last modification time\n\t\texistingTask.lastModificationTime = task.lastModificationTime;\n\t\t// If the new task is a save then we upgrade the existing task to a save. Thus a pending load is turned into a save if the tiddler changes locally in the meantime. But a pending save is not modified to become a load\n\t\tif(task.type === \"save\" || task.type === \"delete\") {\n\t\t\texistingTask.type = task.type;\n\t\t}\n\t} else {\n\t\t// this.logger.log(\"Queuing up sync task with type:\",task.type,\"title:\",task.title);\n\t\t// If it is not in the queue, insert it\n\t\tthis.taskQueue[task.title] = task;\n\t\tthis.updateDirtyStatus();\n\t}\n\t// Process the queue\n\t$tw.utils.nextTick(function() {self.processTaskQueue.call(self);});\n};\n\n/*\nReturn the number of tasks in progress\n*/\nSyncer.prototype.numTasksInProgress = function() {\n\treturn $tw.utils.count(this.taskInProgress);\n};\n\n/*\nReturn the number of tasks in the queue\n*/\nSyncer.prototype.numTasksInQueue = function() {\n\treturn $tw.utils.count(this.taskQueue);\n};\n\n/*\nTrigger a timeout if one isn't already outstanding\n*/\nSyncer.prototype.triggerTimeout = function() {\n\tvar self = this;\n\tif(!this.taskTimerId) {\n\t\tthis.taskTimerId = setTimeout(function() {\n\t\t\tself.taskTimerId = null;\n\t\t\tself.processTaskQueue.call(self);\n\t\t},self.taskTimerInterval);\n\t}\n};\n\n/*\nProcess the task queue, performing the next task if appropriate\n*/\nSyncer.prototype.processTaskQueue = function() {\n\tvar self = this;\n\t// Only process a task if we're not already performing a task. If we are already performing a task then we'll dispatch the next one when it completes\n\tif(this.numTasksInProgress() === 0) {\n\t\t// Choose the next task to perform\n\t\tvar task = this.chooseNextTask();\n\t\t// Perform the task if we had one\n\t\tif(task) {\n\t\t\t// Remove the task from the queue and add it to the in progress list\n\t\t\tdelete this.taskQueue[task.title];\n\t\t\tthis.taskInProgress[task.title] = task;\n\t\t\tthis.updateDirtyStatus();\n\t\t\t// Dispatch the task\n\t\t\tthis.dispatchTask(task,function(err) {\n\t\t\t\tif(err) {\n\t\t\t\t\tself.logger.alert(\"Sync error while processing '\" + task.title + \"':\\n\" + err);\n\t\t\t\t}\n\t\t\t\t// Mark that this task is no longer in progress\n\t\t\t\tdelete self.taskInProgress[task.title];\n\t\t\t\tself.updateDirtyStatus();\n\t\t\t\t// Process the next task\n\t\t\t\tself.processTaskQueue.call(self);\n\t\t\t});\n\t\t} else {\n\t\t\t// Make sure we've set a time if there wasn't a task to perform, but we've still got tasks in the queue\n\t\t\tif(this.numTasksInQueue() > 0) {\n\t\t\t\tthis.triggerTimeout();\n\t\t\t}\n\t\t}\n\t}\n};\n\n/*\nChoose the next applicable task\n*/\nSyncer.prototype.chooseNextTask = function() {\n\tvar self = this,\n\t\tcandidateTask = null,\n\t\tnow = Date.now();\n\t// Select the best candidate task\n\t$tw.utils.each(this.taskQueue,function(task,title) {\n\t\t// Exclude the task if there's one of the same name in progress\n\t\tif($tw.utils.hop(self.taskInProgress,title)) {\n\t\t\treturn;\n\t\t}\n\t\t// Exclude the task if it is a save and the tiddler has been modified recently, but not hit the fallback time\n\t\tif(task.type === \"save\" && (now - task.lastModificationTime) < self.throttleInterval &&\n\t\t\t(now - task.queueTime) < self.fallbackInterval) {\n\t\t\treturn;\n\t\t}\n\t\t// Exclude the task if it is newer than the current best candidate\n\t\tif(candidateTask && candidateTask.queueTime < task.queueTime) {\n\t\t\treturn;\n\t\t}\n\t\t// Now this is our best candidate\n\t\tcandidateTask = task;\n\t});\n\treturn candidateTask;\n};\n\n/*\nDispatch a task and invoke the callback\n*/\nSyncer.prototype.dispatchTask = function(task,callback) {\n\tvar self = this;\n\tif(task.type === \"save\") {\n\t\tvar changeCount = this.wiki.getChangeCount(task.title),\n\t\t\ttiddler = this.wiki.getTiddler(task.title);\n\t\tthis.logger.log(\"Dispatching 'save' task:\",task.title);\n\t\tif(tiddler) {\n\t\t\tthis.syncadaptor.saveTiddler(tiddler,function(err,adaptorInfo,revision) {\n\t\t\t\tif(err) {\n\t\t\t\t\treturn callback(err);\n\t\t\t\t}\n\t\t\t\t// Adjust the info stored about this tiddler\n\t\t\t\tself.tiddlerInfo[task.title] = {\n\t\t\t\t\tchangeCount: changeCount,\n\t\t\t\t\tadaptorInfo: adaptorInfo,\n\t\t\t\t\trevision: revision\n\t\t\t\t};\n\t\t\t\t// Invoke the callback\n\t\t\t\tcallback(null);\n\t\t\t},{\n\t\t\t\ttiddlerInfo: self.tiddlerInfo[task.title]\n\t\t\t});\n\t\t} else {\n\t\t\tthis.logger.log(\" Not Dispatching 'save' task:\",task.title,\"tiddler does not exist\");\n\t\t\treturn callback(null);\n\t\t}\n\t} else if(task.type === \"load\") {\n\t\t// Load the tiddler\n\t\tthis.logger.log(\"Dispatching 'load' task:\",task.title);\n\t\tthis.syncadaptor.loadTiddler(task.title,function(err,tiddlerFields) {\n\t\t\tif(err) {\n\t\t\t\treturn callback(err);\n\t\t\t}\n\t\t\t// Store the tiddler\n\t\t\tif(tiddlerFields) {\n\t\t\t\tself.storeTiddler(tiddlerFields);\n\t\t\t}\n\t\t\t// Invoke the callback\n\t\t\tcallback(null);\n\t\t});\n\t} else if(task.type === \"delete\") {\n\t\t// Delete the tiddler\n\t\tthis.logger.log(\"Dispatching 'delete' task:\",task.title);\n\t\tthis.syncadaptor.deleteTiddler(task.title,function(err) {\n\t\t\tif(err) {\n\t\t\t\treturn callback(err);\n\t\t\t}\n\t\t\tdelete self.tiddlerInfo[task.title];\n\t\t\t// Invoke the callback\n\t\t\tcallback(null);\n\t\t},{\n\t\t\ttiddlerInfo: self.tiddlerInfo[task.title]\n\t\t});\n\t}\n};\n\nexports.Syncer = Syncer;\n\n})();\n",
"title": "$:/core/modules/syncer.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/tiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/tiddler.js\ntype: application/javascript\nmodule-type: tiddlermethod\n\nExtension methods for the $tw.Tiddler object (constructor and methods required at boot time are in boot/boot.js)\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.hasTag = function(tag) {\n\treturn this.fields.tags && this.fields.tags.indexOf(tag) !== -1;\n};\n\nexports.isPlugin = function() {\n\treturn this.fields.type === \"application/json\" && this.hasField(\"plugin-type\");\n};\n\nexports.isDraft = function() {\n\treturn this.hasField(\"draft.of\");\n};\n\nexports.getFieldString = function(field) {\n\tvar value = this.fields[field];\n\t// Check for a missing field\n\tif(value === undefined || value === null) {\n\t\treturn \"\";\n\t}\n\t// Parse the field with the associated module (if any)\n\tvar fieldModule = $tw.Tiddler.fieldModules[field];\n\tif(fieldModule && fieldModule.stringify) {\n\t\treturn fieldModule.stringify.call(this,value);\n\t} else {\n\t\treturn value.toString();\n\t}\n};\n\n/*\nGet all the fields as a name:value block. Options:\n\texclude: an array of field names to exclude\n*/\nexports.getFieldStringBlock = function(options) {\n\toptions = options || {};\n\tvar exclude = options.exclude || [];\n\tvar fields = [];\n\tfor(var field in this.fields) {\n\t\tif($tw.utils.hop(this.fields,field)) {\n\t\t\tif(exclude.indexOf(field) === -1) {\n\t\t\t\tfields.push(field + \": \" + this.getFieldString(field));\n\t\t\t}\n\t\t}\n\t}\n\treturn fields.join(\"\\n\");\n};\n\n/*\nCompare two tiddlers for equality\ntiddler: the tiddler to compare\nexcludeFields: array of field names to exclude from the comparison\n*/\nexports.isEqual = function(tiddler,excludeFields) {\n\tif(!(tiddler instanceof $tw.Tiddler)) {\n\t\treturn false;\n\t}\n\texcludeFields = excludeFields || [];\n\tvar self = this,\n\t\tdifferences = []; // Fields that have differences\n\t// Add to the differences array\n\tfunction addDifference(fieldName) {\n\t\t// Check for this field being excluded\n\t\tif(excludeFields.indexOf(fieldName) === -1) {\n\t\t\t// Save the field as a difference\n\t\t\t$tw.utils.pushTop(differences,fieldName);\n\t\t}\n\t}\n\t// Returns true if the two values of this field are equal\n\tfunction isFieldValueEqual(fieldName) {\n\t\tvar valueA = self.fields[fieldName],\n\t\t\tvalueB = tiddler.fields[fieldName];\n\t\t// Check for identical string values\n\t\tif(typeof(valueA) === \"string\" && typeof(valueB) === \"string\" && valueA === valueB) {\n\t\t\treturn true;\n\t\t}\n\t\t// Check for identical array values\n\t\tif($tw.utils.isArray(valueA) && $tw.utils.isArray(valueB) && $tw.utils.isArrayEqual(valueA,valueB)) {\n\t\t\treturn true;\n\t\t}\n\t\t// Otherwise the fields must be different\n\t\treturn false;\n\t}\n\t// Compare our fields\n\tfor(var fieldName in this.fields) {\n\t\tif(!isFieldValueEqual(fieldName)) {\n\t\t\taddDifference(fieldName);\n\t\t}\n\t}\n\t// There's a difference for every field in the other tiddler that we don't have\n\tfor(fieldName in tiddler.fields) {\n\t\tif(!(fieldName in this.fields)) {\n\t\t\taddDifference(fieldName);\n\t\t}\n\t}\n\t// Return whether there were any differences\n\treturn differences.length === 0;\n};\n\n})();\n",
"title": "$:/core/modules/tiddler.js",
"type": "application/javascript",
"module-type": "tiddlermethod"
},
"$:/core/modules/upgraders/plugins.js": {
"text": "/*\\\ntitle: $:/core/modules/upgraders/plugins.js\ntype: application/javascript\nmodule-type: upgrader\n\nUpgrader module that checks that plugins are newer than any already installed version\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar UPGRADE_LIBRARY_TITLE = \"$:/UpgradeLibrary\";\n\nvar BLOCKED_PLUGINS = {\n\t\"$:/plugins/tiddlywiki/fullscreen\": {\n\t\tversions: [\"*\"]\n\t}\n};\n\nexports.upgrade = function(wiki,titles,tiddlers) {\n\tvar self = this,\n\t\tmessages = {},\n\t\tupgradeLibrary,\n\t\tgetLibraryTiddler = function(title) {\n\t\t\tif(!upgradeLibrary) {\n\t\t\t\tupgradeLibrary = wiki.getTiddlerData(UPGRADE_LIBRARY_TITLE,{});\n\t\t\t\tupgradeLibrary.tiddlers = upgradeLibrary.tiddlers || {};\n\t\t\t}\n\t\t\treturn upgradeLibrary.tiddlers[title];\n\t\t};\n\n\t// Go through all the incoming tiddlers\n\t$tw.utils.each(titles,function(title) {\n\t\tvar incomingTiddler = tiddlers[title];\n\t\t// Check if we're dealing with a plugin\n\t\tif(incomingTiddler && incomingTiddler[\"plugin-type\"] && incomingTiddler.version) {\n\t\t\t// Upgrade the incoming plugin if we've got a newer version in the upgrade library\n\t\t\tvar libraryTiddler = getLibraryTiddler(title);\n\t\t\tif(libraryTiddler && libraryTiddler[\"plugin-type\"] && libraryTiddler.version) {\n\t\t\t\tif($tw.utils.checkVersions(libraryTiddler.version,incomingTiddler.version)) {\n\t\t\t\t\ttiddlers[title] = libraryTiddler;\n\t\t\t\t\tmessages[title] = $tw.language.getString(\"Import/Upgrader/Plugins/Upgraded\",{variables: {incoming: incomingTiddler.version, upgraded: libraryTiddler.version}});\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t}\n\t\t\t// Suppress the incoming plugin if it is older than the currently installed one\n\t\t\tvar existingTiddler = wiki.getTiddler(title);\n\t\t\tif(existingTiddler && existingTiddler.hasField(\"plugin-type\") && existingTiddler.hasField(\"version\")) {\n\t\t\t\t// Reject the incoming plugin by blanking all its fields\n\t\t\t\tif($tw.utils.checkVersions(existingTiddler.fields.version,incomingTiddler.version)) {\n\t\t\t\t\ttiddlers[title] = Object.create(null);\n\t\t\t\t\tmessages[title] = $tw.language.getString(\"Import/Upgrader/Plugins/Suppressed/Version\",{variables: {incoming: incomingTiddler.version, existing: existingTiddler.fields.version}});\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tif(incomingTiddler && incomingTiddler[\"plugin-type\"]) {\n\t\t\t// Check whether the plugin is on the blocked list\n\t\t\tvar blockInfo = BLOCKED_PLUGINS[title];\n\t\t\tif(blockInfo) {\n\t\t\t\tif(blockInfo.versions.indexOf(\"*\") !== -1 || (incomingTiddler.version && blockInfo.versions.indexOf(incomingTiddler.version) !== -1)) {\n\t\t\t\t\ttiddlers[title] = Object.create(null);\n\t\t\t\t\tmessages[title] = $tw.language.getString(\"Import/Upgrader/Plugins/Suppressed/Incompatible\");\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t});\n\treturn messages;\n};\n\n})();\n",
"title": "$:/core/modules/upgraders/plugins.js",
"type": "application/javascript",
"module-type": "upgrader"
},
"$:/core/modules/upgraders/system.js": {
"text": "/*\\\ntitle: $:/core/modules/upgraders/system.js\ntype: application/javascript\nmodule-type: upgrader\n\nUpgrader module that suppresses certain system tiddlers that shouldn't be imported\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar DONT_IMPORT_LIST = [\"$:/StoryList\",\"$:/HistoryList\"],\n\tDONT_IMPORT_PREFIX_LIST = [\"$:/temp/\",\"$:/state/\"];\n\nexports.upgrade = function(wiki,titles,tiddlers) {\n\tvar self = this,\n\t\tmessages = {};\n\t// Check for tiddlers on our list\n\t$tw.utils.each(titles,function(title) {\n\t\tif(DONT_IMPORT_LIST.indexOf(title) !== -1) {\n\t\t\ttiddlers[title] = Object.create(null);\n\t\t\tmessages[title] = $tw.language.getString(\"Import/Upgrader/System/Suppressed\");\n\t\t} else {\n\t\t\tfor(var t=0; t<DONT_IMPORT_PREFIX_LIST.length; t++) {\n\t\t\t\tvar prefix = DONT_IMPORT_PREFIX_LIST[t];\n\t\t\t\tif(title.substr(0,prefix.length) === prefix) {\n\t\t\t\t\ttiddlers[title] = Object.create(null);\n\t\t\t\t\tmessages[title] = $tw.language.getString(\"Import/Upgrader/State/Suppressed\");\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t});\n\treturn messages;\n};\n\n})();\n",
"title": "$:/core/modules/upgraders/system.js",
"type": "application/javascript",
"module-type": "upgrader"
},
"$:/core/modules/upgraders/themetweaks.js": {
"text": "/*\\\ntitle: $:/core/modules/upgraders/themetweaks.js\ntype: application/javascript\nmodule-type: upgrader\n\nUpgrader module that handles the change in theme tweak storage introduced in 5.0.14-beta.\n\nPreviously, theme tweaks were stored in two data tiddlers:\n\n* $:/themes/tiddlywiki/vanilla/metrics\n* $:/themes/tiddlywiki/vanilla/settings\n\nNow, each tweak is stored in its own separate tiddler.\n\nThis upgrader copies any values from the old format to the new. The old data tiddlers are not deleted in case they have been used to store additional indexes.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar MAPPINGS = {\n\t\"$:/themes/tiddlywiki/vanilla/metrics\": {\n\t\t\"fontsize\": \"$:/themes/tiddlywiki/vanilla/metrics/fontsize\",\n\t\t\"lineheight\": \"$:/themes/tiddlywiki/vanilla/metrics/lineheight\",\n\t\t\"storyleft\": \"$:/themes/tiddlywiki/vanilla/metrics/storyleft\",\n\t\t\"storytop\": \"$:/themes/tiddlywiki/vanilla/metrics/storytop\",\n\t\t\"storyright\": \"$:/themes/tiddlywiki/vanilla/metrics/storyright\",\n\t\t\"storywidth\": \"$:/themes/tiddlywiki/vanilla/metrics/storywidth\",\n\t\t\"tiddlerwidth\": \"$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth\"\n\t},\n\t\"$:/themes/tiddlywiki/vanilla/settings\": {\n\t\t\"fontfamily\": \"$:/themes/tiddlywiki/vanilla/settings/fontfamily\"\n\t}\n};\n\nexports.upgrade = function(wiki,titles,tiddlers) {\n\tvar self = this,\n\t\tmessages = {};\n\t// Check for tiddlers on our list\n\t$tw.utils.each(titles,function(title) {\n\t\tvar mapping = MAPPINGS[title];\n\t\tif(mapping) {\n\t\t\tvar tiddler = new $tw.Tiddler(tiddlers[title]),\n\t\t\t\ttiddlerData = wiki.getTiddlerData(tiddler,{});\n\t\t\tfor(var index in mapping) {\n\t\t\t\tvar mappedTitle = mapping[index];\n\t\t\t\tif(!tiddlers[mappedTitle] || tiddlers[mappedTitle].title !== mappedTitle) {\n\t\t\t\t\ttiddlers[mappedTitle] = {\n\t\t\t\t\t\ttitle: mappedTitle,\n\t\t\t\t\t\ttext: tiddlerData[index]\n\t\t\t\t\t};\n\t\t\t\t\tmessages[mappedTitle] = $tw.language.getString(\"Import/Upgrader/ThemeTweaks/Created\",{variables: {\n\t\t\t\t\t\tfrom: title + \"##\" + index\n\t\t\t\t\t}});\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t});\n\treturn messages;\n};\n\n})();\n",
"title": "$:/core/modules/upgraders/themetweaks.js",
"type": "application/javascript",
"module-type": "upgrader"
},
"$:/core/modules/utils/crypto.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/crypto.js\ntype: application/javascript\nmodule-type: utils\n\nUtility functions related to crypto.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nLook for an encrypted store area in the text of a TiddlyWiki file\n*/\nexports.extractEncryptedStoreArea = function(text) {\n\tvar encryptedStoreAreaStartMarker = \"<pre id=\\\"encryptedStoreArea\\\" type=\\\"text/plain\\\" style=\\\"display:none;\\\">\",\n\t\tencryptedStoreAreaStart = text.indexOf(encryptedStoreAreaStartMarker);\n\tif(encryptedStoreAreaStart !== -1) {\n\t\tvar encryptedStoreAreaEnd = text.indexOf(\"</pre>\",encryptedStoreAreaStart);\n\t\tif(encryptedStoreAreaEnd !== -1) {\n\t\t\treturn $tw.utils.htmlDecode(text.substring(encryptedStoreAreaStart + encryptedStoreAreaStartMarker.length,encryptedStoreAreaEnd-1));\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nAttempt to extract the tiddlers from an encrypted store area using the current password. If the password is not provided then the password in the password store will be used\n*/\nexports.decryptStoreArea = function(encryptedStoreArea,password) {\n\tvar decryptedText = $tw.crypto.decrypt(encryptedStoreArea,password);\n\tif(decryptedText) {\n\t\tvar json = JSON.parse(decryptedText),\n\t\t\ttiddlers = [];\n\t\tfor(var title in json) {\n\t\t\tif(title !== \"$:/isEncrypted\") {\n\t\t\t\ttiddlers.push(json[title]);\n\t\t\t}\n\t\t}\n\t\treturn tiddlers;\n\t} else {\n\t\treturn null;\n\t}\n};\n\n\n/*\nAttempt to extract the tiddlers from an encrypted store area using the current password. If that fails, the user is prompted for a password.\nencryptedStoreArea: text of the TiddlyWiki encrypted store area\ncallback: function(tiddlers) called with the array of decrypted tiddlers\n\nThe following configuration settings are supported:\n\n$tw.config.usePasswordVault: causes any password entered by the user to also be put into the system password vault\n*/\nexports.decryptStoreAreaInteractive = function(encryptedStoreArea,callback,options) {\n\t// Try to decrypt with the current password\n\tvar tiddlers = $tw.utils.decryptStoreArea(encryptedStoreArea);\n\tif(tiddlers) {\n\t\tcallback(tiddlers);\n\t} else {\n\t\t// Prompt for a new password and keep trying\n\t\t$tw.passwordPrompt.createPrompt({\n\t\t\tserviceName: \"Enter a password to decrypt the imported TiddlyWiki\",\n\t\t\tnoUserName: true,\n\t\t\tcanCancel: true,\n\t\t\tsubmitText: \"Decrypt\",\n\t\t\tcallback: function(data) {\n\t\t\t\t// Exit if the user cancelled\n\t\t\t\tif(!data) {\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t\t// Attempt to decrypt the tiddlers\n\t\t\t\tvar tiddlers = $tw.utils.decryptStoreArea(encryptedStoreArea,data.password);\n\t\t\t\tif(tiddlers) {\n\t\t\t\t\tif($tw.config.usePasswordVault) {\n\t\t\t\t\t\t$tw.crypto.setPassword(data.password);\n\t\t\t\t\t}\n\t\t\t\t\tcallback(tiddlers);\n\t\t\t\t\t// Exit and remove the password prompt\n\t\t\t\t\treturn true;\n\t\t\t\t} else {\n\t\t\t\t\t// We didn't decrypt everything, so continue to prompt for password\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t}\n\t\t});\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/utils/crypto.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/animations/slide.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/animations/slide.js\ntype: application/javascript\nmodule-type: animation\n\nA simple slide animation that varies the height of the element\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nfunction slideOpen(domNode,options) {\n\toptions = options || {};\n\tvar duration = options.duration || $tw.utils.getAnimationDuration();\n\t// Get the current height of the domNode\n\tvar computedStyle = window.getComputedStyle(domNode),\n\t\tcurrMarginBottom = parseInt(computedStyle.marginBottom,10),\n\t\tcurrMarginTop = parseInt(computedStyle.marginTop,10),\n\t\tcurrPaddingBottom = parseInt(computedStyle.paddingBottom,10),\n\t\tcurrPaddingTop = parseInt(computedStyle.paddingTop,10),\n\t\tcurrHeight = domNode.offsetHeight;\n\t// Reset the margin once the transition is over\n\tsetTimeout(function() {\n\t\t$tw.utils.setStyle(domNode,[\n\t\t\t{transition: \"none\"},\n\t\t\t{marginBottom: \"\"},\n\t\t\t{marginTop: \"\"},\n\t\t\t{paddingBottom: \"\"},\n\t\t\t{paddingTop: \"\"},\n\t\t\t{height: \"auto\"},\n\t\t\t{opacity: \"\"}\n\t\t]);\n\t\tif(options.callback) {\n\t\t\toptions.callback();\n\t\t}\n\t},duration);\n\t// Set up the initial position of the element\n\t$tw.utils.setStyle(domNode,[\n\t\t{transition: \"none\"},\n\t\t{marginTop: \"0px\"},\n\t\t{marginBottom: \"0px\"},\n\t\t{paddingTop: \"0px\"},\n\t\t{paddingBottom: \"0px\"},\n\t\t{height: \"0px\"},\n\t\t{opacity: \"0\"}\n\t]);\n\t$tw.utils.forceLayout(domNode);\n\t// Transition to the final position\n\t$tw.utils.setStyle(domNode,[\n\t\t{transition: \"margin-top \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"margin-bottom \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"padding-top \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"padding-bottom \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"height \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"opacity \" + duration + \"ms ease-in-out\"},\n\t\t{marginBottom: currMarginBottom + \"px\"},\n\t\t{marginTop: currMarginTop + \"px\"},\n\t\t{paddingBottom: currPaddingBottom + \"px\"},\n\t\t{paddingTop: currPaddingTop + \"px\"},\n\t\t{height: currHeight + \"px\"},\n\t\t{opacity: \"1\"}\n\t]);\n}\n\nfunction slideClosed(domNode,options) {\n\toptions = options || {};\n\tvar duration = options.duration || $tw.utils.getAnimationDuration(),\n\t\tcurrHeight = domNode.offsetHeight;\n\t// Clear the properties we've set when the animation is over\n\tsetTimeout(function() {\n\t\t$tw.utils.setStyle(domNode,[\n\t\t\t{transition: \"none\"},\n\t\t\t{marginBottom: \"\"},\n\t\t\t{marginTop: \"\"},\n\t\t\t{paddingBottom: \"\"},\n\t\t\t{paddingTop: \"\"},\n\t\t\t{height: \"auto\"},\n\t\t\t{opacity: \"\"}\n\t\t]);\n\t\tif(options.callback) {\n\t\t\toptions.callback();\n\t\t}\n\t},duration);\n\t// Set up the initial position of the element\n\t$tw.utils.setStyle(domNode,[\n\t\t{height: currHeight + \"px\"},\n\t\t{opacity: \"1\"}\n\t]);\n\t$tw.utils.forceLayout(domNode);\n\t// Transition to the final position\n\t$tw.utils.setStyle(domNode,[\n\t\t{transition: \"margin-top \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"margin-bottom \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"padding-top \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"padding-bottom \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"height \" + duration + \"ms ease-in-out, \" +\n\t\t\t\t\t\"opacity \" + duration + \"ms ease-in-out\"},\n\t\t{marginTop: \"0px\"},\n\t\t{marginBottom: \"0px\"},\n\t\t{paddingTop: \"0px\"},\n\t\t{paddingBottom: \"0px\"},\n\t\t{height: \"0px\"},\n\t\t{opacity: \"0\"}\n\t]);\n}\n\nexports.slide = {\n\topen: slideOpen,\n\tclose: slideClosed\n};\n\n})();\n",
"title": "$:/core/modules/utils/dom/animations/slide.js",
"type": "application/javascript",
"module-type": "animation"
},
"$:/core/modules/utils/dom/animator.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/animator.js\ntype: application/javascript\nmodule-type: utils\n\nOrchestrates animations and transitions\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nfunction Animator() {\n\t// Get the registered animation modules\n\tthis.animations = {};\n\t$tw.modules.applyMethods(\"animation\",this.animations);\n}\n\nAnimator.prototype.perform = function(type,domNode,options) {\n\toptions = options || {};\n\t// Find an animation that can handle this type\n\tvar chosenAnimation;\n\t$tw.utils.each(this.animations,function(animation,name) {\n\t\tif($tw.utils.hop(animation,type)) {\n\t\t\tchosenAnimation = animation[type];\n\t\t}\n\t});\n\tif(!chosenAnimation) {\n\t\tchosenAnimation = function(domNode,options) {\n\t\t\tif(options.callback) {\n\t\t\t\toptions.callback();\n\t\t\t}\n\t\t};\n\t}\n\t// Call the animation\n\tchosenAnimation(domNode,options);\n};\n\nexports.Animator = Animator;\n\n})();\n",
"title": "$:/core/modules/utils/dom/animator.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/browser.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/browser.js\ntype: application/javascript\nmodule-type: utils\n\nBrowser feature detection\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nSet style properties of an element\n\telement: dom node\n\tstyles: ordered array of {name: value} pairs\n*/\nexports.setStyle = function(element,styles) {\n\tif(element.nodeType === 1) { // Element.ELEMENT_NODE\n\t\tfor(var t=0; t<styles.length; t++) {\n\t\t\tfor(var styleName in styles[t]) {\n\t\t\t\telement.style[$tw.utils.convertStyleNameToPropertyName(styleName)] = styles[t][styleName];\n\t\t\t}\n\t\t}\n\t}\n};\n\n/*\nConverts a standard CSS property name into the local browser-specific equivalent. For example:\n\t\"background-color\" --> \"backgroundColor\"\n\t\"transition\" --> \"webkitTransition\"\n*/\n\nvar styleNameCache = {}; // We'll cache the style name conversions\n\nexports.convertStyleNameToPropertyName = function(styleName) {\n\t// Return from the cache if we can\n\tif(styleNameCache[styleName]) {\n\t\treturn styleNameCache[styleName];\n\t}\n\t// Convert it by first removing any hyphens\n\tvar propertyName = $tw.utils.unHyphenateCss(styleName);\n\t// Then check if it needs a prefix\n\tif(document.body.style[propertyName] === undefined) {\n\t\tvar prefixes = [\"O\",\"MS\",\"Moz\",\"webkit\"];\n\t\tfor(var t=0; t<prefixes.length; t++) {\n\t\t\tvar prefixedName = prefixes[t] + propertyName.substr(0,1).toUpperCase() + propertyName.substr(1);\n\t\t\tif(document.body.style[prefixedName] !== undefined) {\n\t\t\t\tpropertyName = prefixedName;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\t}\n\t// Put it in the cache too\n\tstyleNameCache[styleName] = propertyName;\n\treturn propertyName;\n};\n\n/*\nConverts a JS format CSS property name back into the dashed form used in CSS declarations. For example:\n\t\"backgroundColor\" --> \"background-color\"\n\t\"webkitTransform\" --> \"-webkit-transform\"\n*/\nexports.convertPropertyNameToStyleName = function(propertyName) {\n\t// Rehyphenate the name\n\tvar styleName = $tw.utils.hyphenateCss(propertyName);\n\t// If there's a webkit prefix, add a dash (other browsers have uppercase prefixes, and so get the dash automatically)\n\tif(styleName.indexOf(\"webkit\") === 0) {\n\t\tstyleName = \"-\" + styleName;\n\t} else if(styleName.indexOf(\"-m-s\") === 0) {\n\t\tstyleName = \"-ms\" + styleName.substr(4);\n\t}\n\treturn styleName;\n};\n\n/*\nRound trip a stylename to a property name and back again. For example:\n\t\"transform\" --> \"webkitTransform\" --> \"-webkit-transform\"\n*/\nexports.roundTripPropertyName = function(propertyName) {\n\treturn $tw.utils.convertPropertyNameToStyleName($tw.utils.convertStyleNameToPropertyName(propertyName));\n};\n\n/*\nConverts a standard event name into the local browser specific equivalent. For example:\n\t\"animationEnd\" --> \"webkitAnimationEnd\"\n*/\n\nvar eventNameCache = {}; // We'll cache the conversions\n\nvar eventNameMappings = {\n\t\"transitionEnd\": {\n\t\tcorrespondingCssProperty: \"transition\",\n\t\tmappings: {\n\t\t\ttransition: \"transitionend\",\n\t\t\tOTransition: \"oTransitionEnd\",\n\t\t\tMSTransition: \"msTransitionEnd\",\n\t\t\tMozTransition: \"transitionend\",\n\t\t\twebkitTransition: \"webkitTransitionEnd\"\n\t\t}\n\t},\n\t\"animationEnd\": {\n\t\tcorrespondingCssProperty: \"animation\",\n\t\tmappings: {\n\t\t\tanimation: \"animationend\",\n\t\t\tOAnimation: \"oAnimationEnd\",\n\t\t\tMSAnimation: \"msAnimationEnd\",\n\t\t\tMozAnimation: \"animationend\",\n\t\t\twebkitAnimation: \"webkitAnimationEnd\"\n\t\t}\n\t}\n};\n\nexports.convertEventName = function(eventName) {\n\tif(eventNameCache[eventName]) {\n\t\treturn eventNameCache[eventName];\n\t}\n\tvar newEventName = eventName,\n\t\tmappings = eventNameMappings[eventName];\n\tif(mappings) {\n\t\tvar convertedProperty = $tw.utils.convertStyleNameToPropertyName(mappings.correspondingCssProperty);\n\t\tif(mappings.mappings[convertedProperty]) {\n\t\t\tnewEventName = mappings.mappings[convertedProperty];\n\t\t}\n\t}\n\t// Put it in the cache too\n\teventNameCache[eventName] = newEventName;\n\treturn newEventName;\n};\n\n/*\nReturn the names of the fullscreen APIs\n*/\nexports.getFullScreenApis = function() {\n\tvar d = document,\n\t\tdb = d.body,\n\t\tresult = {\n\t\t\"_requestFullscreen\": db.webkitRequestFullscreen !== undefined ? \"webkitRequestFullscreen\" :\n\t\t\t\t\t\t\tdb.mozRequestFullScreen !== undefined ? \"mozRequestFullScreen\" :\n\t\t\t\t\t\t\tdb.msRequestFullscreen !== undefined ? \"msRequestFullscreen\" :\n\t\t\t\t\t\t\tdb.requestFullscreen !== undefined ? \"requestFullscreen\" : \"\",\n\t\t\"_exitFullscreen\": d.webkitExitFullscreen !== undefined ? \"webkitExitFullscreen\" :\n\t\t\t\t\t\t\td.mozCancelFullScreen !== undefined ? \"mozCancelFullScreen\" :\n\t\t\t\t\t\t\td.msExitFullscreen !== undefined ? \"msExitFullscreen\" :\n\t\t\t\t\t\t\td.exitFullscreen !== undefined ? \"exitFullscreen\" : \"\",\n\t\t\"_fullscreenElement\": d.webkitFullscreenElement !== undefined ? \"webkitFullscreenElement\" :\n\t\t\t\t\t\t\td.mozFullScreenElement !== undefined ? \"mozFullScreenElement\" :\n\t\t\t\t\t\t\td.msFullscreenElement !== undefined ? \"msFullscreenElement\" :\n\t\t\t\t\t\t\td.fullscreenElement !== undefined ? \"fullscreenElement\" : \"\"\n\t};\n\tif(!result._requestFullscreen || !result._exitFullscreen || !result._fullscreenElement) {\n\t\treturn null;\n\t} else {\n\t\treturn result;\n\t}\n};\n\n})();\n",
"title": "$:/core/modules/utils/dom/browser.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/csscolorparser.js": {
"text": "// (c) Dean McNamee <dean@gmail.com>, 2012.\n//\n// https://github.com/deanm/css-color-parser-js\n//\n// Permission is hereby granted, free of charge, to any person obtaining a copy\n// of this software and associated documentation files (the \"Software\"), to\n// deal in the Software without restriction, including without limitation the\n// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or\n// sell copies of the Software, and to permit persons to whom the Software is\n// furnished to do so, subject to the following conditions:\n//\n// The above copyright notice and this permission notice shall be included in\n// all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS\n// IN THE SOFTWARE.\n\n// http://www.w3.org/TR/css3-color/\nvar kCSSColorTable = {\n \"transparent\": [0,0,0,0], \"aliceblue\": [240,248,255,1],\n \"antiquewhite\": [250,235,215,1], \"aqua\": [0,255,255,1],\n \"aquamarine\": [127,255,212,1], \"azure\": [240,255,255,1],\n \"beige\": [245,245,220,1], \"bisque\": [255,228,196,1],\n \"black\": [0,0,0,1], \"blanchedalmond\": [255,235,205,1],\n \"blue\": [0,0,255,1], \"blueviolet\": [138,43,226,1],\n \"brown\": [165,42,42,1], \"burlywood\": [222,184,135,1],\n \"cadetblue\": [95,158,160,1], \"chartreuse\": [127,255,0,1],\n \"chocolate\": [210,105,30,1], \"coral\": [255,127,80,1],\n \"cornflowerblue\": [100,149,237,1], \"cornsilk\": [255,248,220,1],\n \"crimson\": [220,20,60,1], \"cyan\": [0,255,255,1],\n \"darkblue\": [0,0,139,1], \"darkcyan\": [0,139,139,1],\n \"darkgoldenrod\": [184,134,11,1], \"darkgray\": [169,169,169,1],\n \"darkgreen\": [0,100,0,1], \"darkgrey\": [169,169,169,1],\n \"darkkhaki\": [189,183,107,1], \"darkmagenta\": [139,0,139,1],\n \"darkolivegreen\": [85,107,47,1], \"darkorange\": [255,140,0,1],\n \"darkorchid\": [153,50,204,1], \"darkred\": [139,0,0,1],\n \"darksalmon\": [233,150,122,1], \"darkseagreen\": [143,188,143,1],\n \"darkslateblue\": [72,61,139,1], \"darkslategray\": [47,79,79,1],\n \"darkslategrey\": [47,79,79,1], \"darkturquoise\": [0,206,209,1],\n \"darkviolet\": [148,0,211,1], \"deeppink\": [255,20,147,1],\n \"deepskyblue\": [0,191,255,1], \"dimgray\": [105,105,105,1],\n \"dimgrey\": [105,105,105,1], \"dodgerblue\": [30,144,255,1],\n \"firebrick\": [178,34,34,1], \"floralwhite\": [255,250,240,1],\n \"forestgreen\": [34,139,34,1], \"fuchsia\": [255,0,255,1],\n \"gainsboro\": [220,220,220,1], \"ghostwhite\": [248,248,255,1],\n \"gold\": [255,215,0,1], \"goldenrod\": [218,165,32,1],\n \"gray\": [128,128,128,1], \"green\": [0,128,0,1],\n \"greenyellow\": [173,255,47,1], \"grey\": [128,128,128,1],\n \"honeydew\": [240,255,240,1], \"hotpink\": [255,105,180,1],\n \"indianred\": [205,92,92,1], \"indigo\": [75,0,130,1],\n \"ivory\": [255,255,240,1], \"khaki\": [240,230,140,1],\n \"lavender\": [230,230,250,1], \"lavenderblush\": [255,240,245,1],\n \"lawngreen\": [124,252,0,1], \"lemonchiffon\": [255,250,205,1],\n \"lightblue\": [173,216,230,1], \"lightcoral\": [240,128,128,1],\n \"lightcyan\": [224,255,255,1], \"lightgoldenrodyellow\": [250,250,210,1],\n \"lightgray\": [211,211,211,1], \"lightgreen\": [144,238,144,1],\n \"lightgrey\": [211,211,211,1], \"lightpink\": [255,182,193,1],\n \"lightsalmon\": [255,160,122,1], \"lightseagreen\": [32,178,170,1],\n \"lightskyblue\": [135,206,250,1], \"lightslategray\": [119,136,153,1],\n \"lightslategrey\": [119,136,153,1], \"lightsteelblue\": [176,196,222,1],\n \"lightyellow\": [255,255,224,1], \"lime\": [0,255,0,1],\n \"limegreen\": [50,205,50,1], \"linen\": [250,240,230,1],\n \"magenta\": [255,0,255,1], \"maroon\": [128,0,0,1],\n \"mediumaquamarine\": [102,205,170,1], \"mediumblue\": [0,0,205,1],\n \"mediumorchid\": [186,85,211,1], \"mediumpurple\": [147,112,219,1],\n \"mediumseagreen\": [60,179,113,1], \"mediumslateblue\": [123,104,238,1],\n \"mediumspringgreen\": [0,250,154,1], \"mediumturquoise\": [72,209,204,1],\n \"mediumvioletred\": [199,21,133,1], \"midnightblue\": [25,25,112,1],\n \"mintcream\": [245,255,250,1], \"mistyrose\": [255,228,225,1],\n \"moccasin\": [255,228,181,1], \"navajowhite\": [255,222,173,1],\n \"navy\": [0,0,128,1], \"oldlace\": [253,245,230,1],\n \"olive\": [128,128,0,1], \"olivedrab\": [107,142,35,1],\n \"orange\": [255,165,0,1], \"orangered\": [255,69,0,1],\n \"orchid\": [218,112,214,1], \"palegoldenrod\": [238,232,170,1],\n \"palegreen\": [152,251,152,1], \"paleturquoise\": [175,238,238,1],\n \"palevioletred\": [219,112,147,1], \"papayawhip\": [255,239,213,1],\n \"peachpuff\": [255,218,185,1], \"peru\": [205,133,63,1],\n \"pink\": [255,192,203,1], \"plum\": [221,160,221,1],\n \"powderblue\": [176,224,230,1], \"purple\": [128,0,128,1],\n \"red\": [255,0,0,1], \"rosybrown\": [188,143,143,1],\n \"royalblue\": [65,105,225,1], \"saddlebrown\": [139,69,19,1],\n \"salmon\": [250,128,114,1], \"sandybrown\": [244,164,96,1],\n \"seagreen\": [46,139,87,1], \"seashell\": [255,245,238,1],\n \"sienna\": [160,82,45,1], \"silver\": [192,192,192,1],\n \"skyblue\": [135,206,235,1], \"slateblue\": [106,90,205,1],\n \"slategray\": [112,128,144,1], \"slategrey\": [112,128,144,1],\n \"snow\": [255,250,250,1], \"springgreen\": [0,255,127,1],\n \"steelblue\": [70,130,180,1], \"tan\": [210,180,140,1],\n \"teal\": [0,128,128,1], \"thistle\": [216,191,216,1],\n \"tomato\": [255,99,71,1], \"turquoise\": [64,224,208,1],\n \"violet\": [238,130,238,1], \"wheat\": [245,222,179,1],\n \"white\": [255,255,255,1], \"whitesmoke\": [245,245,245,1],\n \"yellow\": [255,255,0,1], \"yellowgreen\": [154,205,50,1]}\n\nfunction clamp_css_byte(i) { // Clamp to integer 0 .. 255.\n i = Math.round(i); // Seems to be what Chrome does (vs truncation).\n return i < 0 ? 0 : i > 255 ? 255 : i;\n}\n\nfunction clamp_css_float(f) { // Clamp to float 0.0 .. 1.0.\n return f < 0 ? 0 : f > 1 ? 1 : f;\n}\n\nfunction parse_css_int(str) { // int or percentage.\n if (str[str.length - 1] === '%')\n return clamp_css_byte(parseFloat(str) / 100 * 255);\n return clamp_css_byte(parseInt(str));\n}\n\nfunction parse_css_float(str) { // float or percentage.\n if (str[str.length - 1] === '%')\n return clamp_css_float(parseFloat(str) / 100);\n return clamp_css_float(parseFloat(str));\n}\n\nfunction css_hue_to_rgb(m1, m2, h) {\n if (h < 0) h += 1;\n else if (h > 1) h -= 1;\n\n if (h * 6 < 1) return m1 + (m2 - m1) * h * 6;\n if (h * 2 < 1) return m2;\n if (h * 3 < 2) return m1 + (m2 - m1) * (2/3 - h) * 6;\n return m1;\n}\n\nfunction parseCSSColor(css_str) {\n // Remove all whitespace, not compliant, but should just be more accepting.\n var str = css_str.replace(/ /g, '').toLowerCase();\n\n // Color keywords (and transparent) lookup.\n if (str in kCSSColorTable) return kCSSColorTable[str].slice(); // dup.\n\n // #abc and #abc123 syntax.\n if (str[0] === '#') {\n if (str.length === 4) {\n var iv = parseInt(str.substr(1), 16); // TODO(deanm): Stricter parsing.\n if (!(iv >= 0 && iv <= 0xfff)) return null; // Covers NaN.\n return [((iv & 0xf00) >> 4) | ((iv & 0xf00) >> 8),\n (iv & 0xf0) | ((iv & 0xf0) >> 4),\n (iv & 0xf) | ((iv & 0xf) << 4),\n 1];\n } else if (str.length === 7) {\n var iv = parseInt(str.substr(1), 16); // TODO(deanm): Stricter parsing.\n if (!(iv >= 0 && iv <= 0xffffff)) return null; // Covers NaN.\n return [(iv & 0xff0000) >> 16,\n (iv & 0xff00) >> 8,\n iv & 0xff,\n 1];\n }\n\n return null;\n }\n\n var op = str.indexOf('('), ep = str.indexOf(')');\n if (op !== -1 && ep + 1 === str.length) {\n var fname = str.substr(0, op);\n var params = str.substr(op+1, ep-(op+1)).split(',');\n var alpha = 1; // To allow case fallthrough.\n switch (fname) {\n case 'rgba':\n if (params.length !== 4) return null;\n alpha = parse_css_float(params.pop());\n // Fall through.\n case 'rgb':\n if (params.length !== 3) return null;\n return [parse_css_int(params[0]),\n parse_css_int(params[1]),\n parse_css_int(params[2]),\n alpha];\n case 'hsla':\n if (params.length !== 4) return null;\n alpha = parse_css_float(params.pop());\n // Fall through.\n case 'hsl':\n if (params.length !== 3) return null;\n var h = (((parseFloat(params[0]) % 360) + 360) % 360) / 360; // 0 .. 1\n // NOTE(deanm): According to the CSS spec s/l should only be\n // percentages, but we don't bother and let float or percentage.\n var s = parse_css_float(params[1]);\n var l = parse_css_float(params[2]);\n var m2 = l <= 0.5 ? l * (s + 1) : l + s - l * s;\n var m1 = l * 2 - m2;\n return [clamp_css_byte(css_hue_to_rgb(m1, m2, h+1/3) * 255),\n clamp_css_byte(css_hue_to_rgb(m1, m2, h) * 255),\n clamp_css_byte(css_hue_to_rgb(m1, m2, h-1/3) * 255),\n alpha];\n default:\n return null;\n }\n }\n\n return null;\n}\n\ntry { exports.parseCSSColor = parseCSSColor } catch(e) { }\n",
"title": "$:/core/modules/utils/dom/csscolorparser.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom.js\ntype: application/javascript\nmodule-type: utils\n\nVarious static DOM-related utility functions.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nDetermines whether element 'a' contains element 'b'\nCode thanks to John Resig, http://ejohn.org/blog/comparing-document-position/\n*/\nexports.domContains = function(a,b) {\n\treturn a.contains ?\n\t\ta !== b && a.contains(b) :\n\t\t!!(a.compareDocumentPosition(b) & 16);\n};\n\nexports.removeChildren = function(node) {\n\twhile(node.hasChildNodes()) {\n\t\tnode.removeChild(node.firstChild);\n\t}\n};\n\nexports.hasClass = function(el,className) {\n\treturn el && el.className && el.className.toString().split(\" \").indexOf(className) !== -1;\n};\n\nexports.addClass = function(el,className) {\n\tvar c = el.className.split(\" \");\n\tif(c.indexOf(className) === -1) {\n\t\tc.push(className);\n\t}\n\tel.className = c.join(\" \");\n};\n\nexports.removeClass = function(el,className) {\n\tvar c = el.className.split(\" \"),\n\t\tp = c.indexOf(className);\n\tif(p !== -1) {\n\t\tc.splice(p,1);\n\t\tel.className = c.join(\" \");\n\t}\n};\n\nexports.toggleClass = function(el,className,status) {\n\tif(status === undefined) {\n\t\tstatus = !exports.hasClass(el,className);\n\t}\n\tif(status) {\n\t\texports.addClass(el,className);\n\t} else {\n\t\texports.removeClass(el,className);\n\t}\n};\n\n/*\nGet the scroll position of the viewport\nReturns:\n\t{\n\t\tx: horizontal scroll position in pixels,\n\t\ty: vertical scroll position in pixels\n\t}\n*/\nexports.getScrollPosition = function() {\n\tif(\"scrollX\" in window) {\n\t\treturn {x: window.scrollX, y: window.scrollY};\n\t} else {\n\t\treturn {x: document.documentElement.scrollLeft, y: document.documentElement.scrollTop};\n\t}\n};\n\n/*\nGets the bounding rectangle of an element in absolute page coordinates\n*/\nexports.getBoundingPageRect = function(element) {\n\tvar scrollPos = $tw.utils.getScrollPosition(),\n\t\tclientRect = element.getBoundingClientRect();\n\treturn {\n\t\tleft: clientRect.left + scrollPos.x,\n\t\twidth: clientRect.width,\n\t\tright: clientRect.right + scrollPos.x,\n\t\ttop: clientRect.top + scrollPos.y,\n\t\theight: clientRect.height,\n\t\tbottom: clientRect.bottom + scrollPos.y\n\t};\n};\n\n/*\nSaves a named password in the browser\n*/\nexports.savePassword = function(name,password) {\n\ttry {\n\t\tif(window.localStorage) {\n\t\t\tlocalStorage.setItem(\"tw5-password-\" + name,password);\n\t\t}\n\t} catch(e) {\n\t}\n};\n\n/*\nRetrieve a named password from the browser\n*/\nexports.getPassword = function(name) {\n\ttry {\n\t\treturn window.localStorage ? localStorage.getItem(\"tw5-password-\" + name) : \"\";\n\t} catch(e) {\n\t\treturn \"\";\n\t}\n};\n\n/*\nForce layout of a dom node and its descendents\n*/\nexports.forceLayout = function(element) {\n\tvar dummy = element.offsetWidth;\n};\n\n/*\nPulse an element for debugging purposes\n*/\nexports.pulseElement = function(element) {\n\t// Event handler to remove the class at the end\n\telement.addEventListener($tw.browser.animationEnd,function handler(event) {\n\t\telement.removeEventListener($tw.browser.animationEnd,handler,false);\n\t\t$tw.utils.removeClass(element,\"pulse\");\n\t},false);\n\t// Apply the pulse class\n\t$tw.utils.removeClass(element,\"pulse\");\n\t$tw.utils.forceLayout(element);\n\t$tw.utils.addClass(element,\"pulse\");\n};\n\n/*\nAttach specified event handlers to a DOM node\ndomNode: where to attach the event handlers\nevents: array of event handlers to be added (see below)\nEach entry in the events array is an object with these properties:\nhandlerFunction: optional event handler function\nhandlerObject: optional event handler object\nhandlerMethod: optionally specifies object handler method name (defaults to `handleEvent`)\n*/\nexports.addEventListeners = function(domNode,events) {\n\t$tw.utils.each(events,function(eventInfo) {\n\t\tvar handler;\n\t\tif(eventInfo.handlerFunction) {\n\t\t\thandler = eventInfo.handlerFunction;\n\t\t} else if(eventInfo.handlerObject) {\n\t\t\tif(eventInfo.handlerMethod) {\n\t\t\t\thandler = function(event) {\n\t\t\t\t\teventInfo.handlerObject[eventInfo.handlerMethod].call(eventInfo.handlerObject,event);\n\t\t\t\t};\t\n\t\t\t} else {\n\t\t\t\thandler = eventInfo.handlerObject;\n\t\t\t}\n\t\t}\n\t\tdomNode.addEventListener(eventInfo.name,handler,false);\n\t});\n};\n\n\n})();\n",
"title": "$:/core/modules/utils/dom.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/http.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/http.js\ntype: application/javascript\nmodule-type: utils\n\nBrowser HTTP support\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nA quick and dirty HTTP function; to be refactored later. Options are:\n\turl: URL to retrieve\n\ttype: GET, PUT, POST etc\n\tcallback: function invoked with (err,data)\n*/\nexports.httpRequest = function(options) {\n\tvar type = options.type || \"GET\",\n\t\theaders = options.headers || {accept: \"application/json\"},\n\t\trequest = new XMLHttpRequest(),\n\t\tdata = \"\",\n\t\tf,results;\n\t// Massage the data hashmap into a string\n\tif(options.data) {\n\t\tif(typeof options.data === \"string\") { // Already a string\n\t\t\tdata = options.data;\n\t\t} else { // A hashmap of strings\n\t\t\tresults = [];\n\t\t\t$tw.utils.each(options.data,function(dataItem,dataItemTitle) {\n\t\t\t\tresults.push(dataItemTitle + \"=\" + encodeURIComponent(dataItem));\n\t\t\t});\n\t\t\tdata = results.join(\"&\");\n\t\t}\n\t}\n\t// Set up the state change handler\n\trequest.onreadystatechange = function() {\n\t\tif(this.readyState === 4) {\n\t\t\tif(this.status === 200 || this.status === 201 || this.status === 204) {\n\t\t\t\t// Success!\n\t\t\t\toptions.callback(null,this.responseText,this);\n\t\t\t\treturn;\n\t\t\t}\n\t\t// Something went wrong\n\t\toptions.callback(\"XMLHttpRequest error code: \" + this.status);\n\t\t}\n\t};\n\t// Make the request\n\trequest.open(type,options.url,true);\n\tif(headers) {\n\t\t$tw.utils.each(headers,function(header,headerTitle,object) {\n\t\t\trequest.setRequestHeader(headerTitle,header);\n\t\t});\n\t}\n\tif(data && !$tw.utils.hop(headers,\"Content-type\")) {\n\t\trequest.setRequestHeader(\"Content-type\",\"application/x-www-form-urlencoded; charset=UTF-8\");\n\t}\n\trequest.send(data);\n\treturn request;\n};\n\n})();\n",
"title": "$:/core/modules/utils/dom/http.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/keyboard.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/keyboard.js\ntype: application/javascript\nmodule-type: utils\n\nKeyboard utilities\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar namedKeys = {\n\t\"backspace\": 8,\n\t\"tab\": 9,\n\t\"enter\": 13,\n\t\"escape\": 27\n};\n\n/*\nParses a key descriptor into the structure:\n{\n\tkeyCode: numeric keycode\n\tshiftKey: boolean\n\taltKey: boolean\n\tctrlKey: boolean\n}\nKey descriptors have the following format:\n\tctrl+enter\n\tctrl+shift+alt+A\n*/\nexports.parseKeyDescriptor = function(keyDescriptor) {\n\tvar components = keyDescriptor.split(\"+\"),\n\t\tinfo = {\n\t\t\tkeyCode: 0,\n\t\t\tshiftKey: false,\n\t\t\taltKey: false,\n\t\t\tctrlKey: false\n\t\t};\n\tfor(var t=0; t<components.length; t++) {\n\t\tvar s = components[t].toLowerCase();\n\t\t// Look for modifier keys\n\t\tif(s === \"ctrl\") {\n\t\t\tinfo.ctrlKey = true;\n\t\t} else if(s === \"shift\") {\n\t\t\tinfo.shiftKey = true;\n\t\t} else if(s === \"alt\") {\n\t\t\tinfo.altKey = true;\n\t\t} else if(s === \"meta\") {\n\t\t\tinfo.metaKey = true;\n\t\t}\n\t\t// Replace named keys with their code\n\t\tif(namedKeys[s]) {\n\t\t\tinfo.keyCode = namedKeys[s];\n\t\t}\n\t}\n\treturn info;\n};\n\nexports.checkKeyDescriptor = function(event,keyInfo) {\n\tvar metaKeyStatus = !!keyInfo.metaKey; // Using a temporary variable to keep JSHint happy\n\treturn event.keyCode === keyInfo.keyCode && \n\t\t\tevent.shiftKey === keyInfo.shiftKey && \n\t\t\tevent.altKey === keyInfo.altKey && \n\t\t\tevent.ctrlKey === keyInfo.ctrlKey && \n\t\t\tevent.metaKey === metaKeyStatus;\t\n};\n\n})();\n",
"title": "$:/core/modules/utils/dom/keyboard.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/modal.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/modal.js\ntype: application/javascript\nmodule-type: utils\n\nModal message mechanism\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nvar Modal = function(wiki) {\n\tthis.wiki = wiki;\n\tthis.modalCount = 0;\n};\n\n/*\nDisplay a modal dialogue\n\ttitle: Title of tiddler to display\n\toptions: see below\nOptions include:\n\tdownloadLink: Text of a big download link to include\n*/\nModal.prototype.display = function(title,options) {\n\toptions = options || {};\n\tvar self = this,\n\t\tduration = $tw.utils.getAnimationDuration(),\n\t\ttiddler = this.wiki.getTiddler(title);\n\t// Don't do anything if the tiddler doesn't exist\n\tif(!tiddler) {\n\t\treturn;\n\t}\n\t// Create the variables\n\tvar variables = $tw.utils.extend({currentTiddler: title},options.variables);\n\t// Create the wrapper divs\n\tvar wrapper = document.createElement(\"div\"),\n\t\tmodalBackdrop = document.createElement(\"div\"),\n\t\tmodalWrapper = document.createElement(\"div\"),\n\t\tmodalHeader = document.createElement(\"div\"),\n\t\theaderTitle = document.createElement(\"h3\"),\n\t\tmodalBody = document.createElement(\"div\"),\n\t\tmodalLink = document.createElement(\"a\"),\n\t\tmodalFooter = document.createElement(\"div\"),\n\t\tmodalFooterHelp = document.createElement(\"span\"),\n\t\tmodalFooterButtons = document.createElement(\"span\");\n\t// Up the modal count and adjust the body class\n\tthis.modalCount++;\n\tthis.adjustPageClass();\n\t// Add classes\n\t$tw.utils.addClass(wrapper,\"tc-modal-wrapper\");\n\t$tw.utils.addClass(modalBackdrop,\"tc-modal-backdrop\");\n\t$tw.utils.addClass(modalWrapper,\"tc-modal\");\n\t$tw.utils.addClass(modalHeader,\"tc-modal-header\");\n\t$tw.utils.addClass(modalBody,\"tc-modal-body\");\n\t$tw.utils.addClass(modalFooter,\"tc-modal-footer\");\n\t// Join them together\n\twrapper.appendChild(modalBackdrop);\n\twrapper.appendChild(modalWrapper);\n\tmodalHeader.appendChild(headerTitle);\n\tmodalWrapper.appendChild(modalHeader);\n\tmodalWrapper.appendChild(modalBody);\n\tmodalFooter.appendChild(modalFooterHelp);\n\tmodalFooter.appendChild(modalFooterButtons);\n\tmodalWrapper.appendChild(modalFooter);\n\t// Render the title of the message\n\tvar headerWidgetNode = this.wiki.makeTranscludeWidget(title,{\n\t\tfield: \"subtitle\",\n\t\tchildren: [{\n\t\t\ttype: \"text\",\n\t\t\tattributes: {\n\t\t\t\ttext: {\n\t\t\t\t\ttype: \"string\",\n\t\t\t\t\tvalue: title\n\t\t}}}],\n\t\tparentWidget: $tw.rootWidget,\n\t\tdocument: document,\n\t\tvariables: variables\n\t});\n\theaderWidgetNode.render(headerTitle,null);\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\theaderWidgetNode.refresh(changes,modalHeader,null);\n\t});\n\t// Render the body of the message\n\tvar bodyWidgetNode = this.wiki.makeTranscludeWidget(title,{\n\t\tparentWidget: $tw.rootWidget,\n\t\tdocument: document,\n\t\tvariables: variables\n\t});\n\tbodyWidgetNode.render(modalBody,null);\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\tbodyWidgetNode.refresh(changes,modalBody,null);\n\t});\n\t// Setup the link if present\n\tif(options.downloadLink) {\n\t\tmodalLink.href = options.downloadLink;\n\t\tmodalLink.appendChild(document.createTextNode(\"Right-click to save changes\"));\n\t\tmodalBody.appendChild(modalLink);\n\t}\n\t// Render the footer of the message\n\tif(tiddler && tiddler.fields && tiddler.fields.help) {\n\t\tvar link = document.createElement(\"a\");\n\t\tlink.setAttribute(\"href\",tiddler.fields.help);\n\t\tlink.setAttribute(\"target\",\"_blank\");\n\t\tlink.appendChild(document.createTextNode(\"Help\"));\n\t\tmodalFooterHelp.appendChild(link);\n\t\tmodalFooterHelp.style.float = \"left\";\n\t}\n\tvar footerWidgetNode = this.wiki.makeTranscludeWidget(title,{\n\t\tfield: \"footer\",\n\t\tchildren: [{\n\t\t\ttype: \"button\",\n\t\t\tattributes: {\n\t\t\t\tmessage: {\n\t\t\t\t\ttype: \"string\",\n\t\t\t\t\tvalue: \"tm-close-tiddler\"\n\t\t\t\t}\n\t\t\t},\n\t\t\tchildren: [{\n\t\t\t\ttype: \"text\",\n\t\t\t\tattributes: {\n\t\t\t\t\ttext: {\n\t\t\t\t\t\ttype: \"string\",\n\t\t\t\t\t\tvalue: \"Close\"\n\t\t\t}}}\n\t\t]}],\n\t\tparentWidget: $tw.rootWidget,\n\t\tdocument: document,\n\t\tvariables: variables\n\t});\n\tfooterWidgetNode.render(modalFooterButtons,null);\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\tfooterWidgetNode.refresh(changes,modalFooterButtons,null);\n\t});\n\t// Add the close event handler\n\tvar closeHandler = function(event) {\n\t\t// Decrease the modal count and adjust the body class\n\t\tself.modalCount--;\n\t\tself.adjustPageClass();\n\t\t// Force layout and animate the modal message away\n\t\t$tw.utils.forceLayout(modalBackdrop);\n\t\t$tw.utils.forceLayout(modalWrapper);\n\t\t$tw.utils.setStyle(modalBackdrop,[\n\t\t\t{opacity: \"0\"}\n\t\t]);\n\t\t$tw.utils.setStyle(modalWrapper,[\n\t\t\t{transform: \"translateY(\" + window.innerHeight + \"px)\"}\n\t\t]);\n\t\t// Set up an event for the transition end\n\t\twindow.setTimeout(function() {\n\t\t\tif(wrapper.parentNode) {\n\t\t\t\t// Remove the modal message from the DOM\n\t\t\t\tdocument.body.removeChild(wrapper);\n\t\t\t}\n\t\t},duration);\n\t\t// Don't let anyone else handle the tm-close-tiddler message\n\t\treturn false;\n\t};\n\theaderWidgetNode.addEventListener(\"tm-close-tiddler\",closeHandler,false);\n\tbodyWidgetNode.addEventListener(\"tm-close-tiddler\",closeHandler,false);\n\tfooterWidgetNode.addEventListener(\"tm-close-tiddler\",closeHandler,false);\n\t// Set the initial styles for the message\n\t$tw.utils.setStyle(modalBackdrop,[\n\t\t{opacity: \"0\"}\n\t]);\n\t$tw.utils.setStyle(modalWrapper,[\n\t\t{transformOrigin: \"0% 0%\"},\n\t\t{transform: \"translateY(\" + (-window.innerHeight) + \"px)\"}\n\t]);\n\t// Put the message into the document\n\tdocument.body.appendChild(wrapper);\n\t// Set up animation for the styles\n\t$tw.utils.setStyle(modalBackdrop,[\n\t\t{transition: \"opacity \" + duration + \"ms ease-out\"}\n\t]);\n\t$tw.utils.setStyle(modalWrapper,[\n\t\t{transition: $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms ease-in-out\"}\n\t]);\n\t// Force layout\n\t$tw.utils.forceLayout(modalBackdrop);\n\t$tw.utils.forceLayout(modalWrapper);\n\t// Set final animated styles\n\t$tw.utils.setStyle(modalBackdrop,[\n\t\t{opacity: \"0.7\"}\n\t]);\n\t$tw.utils.setStyle(modalWrapper,[\n\t\t{transform: \"translateY(0px)\"}\n\t]);\n};\n\nModal.prototype.adjustPageClass = function() {\n\tif($tw.pageContainer) {\n\t\t$tw.utils.toggleClass($tw.pageContainer,\"tc-modal-displayed\",this.modalCount > 0);\n\t}\n};\n\nexports.Modal = Modal;\n\n})();\n",
"title": "$:/core/modules/utils/dom/modal.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/notifier.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/notifier.js\ntype: application/javascript\nmodule-type: utils\n\nNotifier mechanism\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nvar Notifier = function(wiki) {\n\tthis.wiki = wiki;\n};\n\n/*\nDisplay a notification\n\ttitle: Title of tiddler containing the notification text\n\toptions: see below\nOptions include:\n*/\nNotifier.prototype.display = function(title,options) {\n\toptions = options || {};\n\t// Create the wrapper divs\n\tvar notification = document.createElement(\"div\"),\n\t\ttiddler = this.wiki.getTiddler(title),\n\t\tduration = $tw.utils.getAnimationDuration();\n\t// Don't do anything if the tiddler doesn't exist\n\tif(!tiddler) {\n\t\treturn;\n\t}\n\t// Add classes\n\t$tw.utils.addClass(notification,\"tc-notification\");\n\t// Render the body of the notification\n\tvar widgetNode = this.wiki.makeTranscludeWidget(title,{parentWidget: $tw.rootWidget, document: document});\n\twidgetNode.render(notification,null);\n\tthis.wiki.addEventListener(\"change\",function(changes) {\n\t\twidgetNode.refresh(changes,notification,null);\n\t});\n\t// Set the initial styles for the notification\n\t$tw.utils.setStyle(notification,[\n\t\t{opacity: \"0\"},\n\t\t{transformOrigin: \"0% 0%\"},\n\t\t{transform: \"translateY(\" + (-window.innerHeight) + \"px)\"},\n\t\t{transition: \"opacity \" + duration + \"ms ease-out, \" + $tw.utils.roundTripPropertyName(\"transform\") + \" \" + duration + \"ms ease-in-out\"}\n\t]);\n\t// Add the notification to the DOM\n\tdocument.body.appendChild(notification);\n\t// Force layout\n\t$tw.utils.forceLayout(notification);\n\t// Set final animated styles\n\t$tw.utils.setStyle(notification,[\n\t\t{opacity: \"1.0\"},\n\t\t{transform: \"translateY(0px)\"}\n\t]);\n\t// Set a timer to remove the notification\n\twindow.setTimeout(function() {\n\t\t// Force layout and animate the notification away\n\t\t$tw.utils.forceLayout(notification);\n\t\t$tw.utils.setStyle(notification,[\n\t\t\t{opacity: \"0.0\"},\n\t\t\t{transform: \"translateX(\" + (notification.offsetWidth) + \"px)\"}\n\t\t]);\n\t\t// Remove the modal message from the DOM once the transition ends\n\t\tsetTimeout(function() {\n\t\t\tif(notification.parentNode) {\n\t\t\t\tdocument.body.removeChild(notification);\n\t\t\t}\n\t\t},duration);\n\t},$tw.config.preferences.notificationDuration);\n};\n\nexports.Notifier = Notifier;\n\n})();\n",
"title": "$:/core/modules/utils/dom/notifier.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/popup.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/popup.js\ntype: application/javascript\nmodule-type: utils\n\nModule that creates a $tw.utils.Popup object prototype that manages popups in the browser\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nCreates a Popup object with these options:\n\trootElement: the DOM element to which the popup zapper should be attached\n*/\nvar Popup = function(options) {\n\toptions = options || {};\n\tthis.rootElement = options.rootElement || document.documentElement;\n\tthis.popups = []; // Array of {title:,wiki:,domNode:} objects\n};\n\n/*\nTrigger a popup open or closed. Parameters are in a hashmap:\n\ttitle: title of the tiddler where the popup details are stored\n\tdomNode: dom node to which the popup will be positioned\n\twiki: wiki\n\tforce: if specified, forces the popup state to true or false (instead of toggling it)\n*/\nPopup.prototype.triggerPopup = function(options) {\n\t// Check if this popup is already active\n\tvar index = -1;\n\tfor(var t=0; t<this.popups.length; t++) {\n\t\tif(this.popups[t].title === options.title) {\n\t\t\tindex = t;\n\t\t}\n\t}\n\t// Compute the new state\n\tvar state = index === -1;\n\tif(options.force !== undefined) {\n\t\tstate = options.force;\n\t}\n\t// Show or cancel the popup according to the new state\n\tif(state) {\n\t\tthis.show(options);\n\t} else {\n\t\tthis.cancel(index);\n\t}\n};\n\nPopup.prototype.handleEvent = function(event) {\n\tif(event.type === \"click\") {\n\t\t// Find out what was clicked on\n\t\tvar info = this.popupInfo(event.target),\n\t\t\tcancelLevel = info.popupLevel - 1;\n\t\t// Don't remove the level that was clicked on if we clicked on a handle\n\t\tif(info.isHandle) {\n\t\t\tcancelLevel++;\n\t\t}\n\t\t// Cancel\n\t\tthis.cancel(cancelLevel);\n\t}\n};\n\n/*\nFind the popup level containing a DOM node. Returns:\npopupLevel: count of the number of nested popups containing the specified element\nisHandle: true if the specified element is within a popup handle\n*/\nPopup.prototype.popupInfo = function(domNode) {\n\tvar isHandle = false,\n\t\tpopupCount = 0,\n\t\tnode = domNode;\n\t// First check ancestors to see if we're within a popup handle\n\twhile(node) {\n\t\tif($tw.utils.hasClass(node,\"tc-popup-handle\")) {\n\t\t\tisHandle = true;\n\t\t\tpopupCount++;\n\t\t}\n\t\tif($tw.utils.hasClass(node,\"tc-popup-keep\")) {\n\t\t\tisHandle = true;\n\t\t}\n\t\tnode = node.parentNode;\n\t}\n\t// Then count the number of ancestor popups\n\tnode = domNode;\n\twhile(node) {\n\t\tif($tw.utils.hasClass(node,\"tc-popup\")) {\n\t\t\tpopupCount++;\n\t\t}\n\t\tnode = node.parentNode;\n\t}\n\tvar info = {\n\t\tpopupLevel: popupCount,\n\t\tisHandle: isHandle\n\t};\n\treturn info;\n};\n\n/*\nDisplay a popup by adding it to the stack\n*/\nPopup.prototype.show = function(options) {\n\t// Find out what was clicked on\n\tvar info = this.popupInfo(options.domNode);\n\t// Cancel any higher level popups\n\tthis.cancel(info.popupLevel);\n\t// Store the popup details\n\tthis.popups.push({\n\t\ttitle: options.title,\n\t\twiki: options.wiki,\n\t\tdomNode: options.domNode\n\t});\n\t// Set the state tiddler\n\toptions.wiki.setTextReference(options.title,\n\t\t\t\"(\" + options.domNode.offsetLeft + \",\" + options.domNode.offsetTop + \",\" + \n\t\t\t\toptions.domNode.offsetWidth + \",\" + options.domNode.offsetHeight + \")\");\n\t// Add the click handler if we have any popups\n\tif(this.popups.length > 0) {\n\t\tthis.rootElement.addEventListener(\"click\",this,true);\t\t\n\t}\n};\n\n/*\nCancel all popups at or above a specified level or DOM node\nlevel: popup level to cancel (0 cancels all popups)\n*/\nPopup.prototype.cancel = function(level) {\n\tvar numPopups = this.popups.length;\n\tlevel = Math.max(0,Math.min(level,numPopups));\n\tfor(var t=level; t<numPopups; t++) {\n\t\tvar popup = this.popups.pop();\n\t\tif(popup.title) {\n\t\t\tpopup.wiki.deleteTiddler(popup.title);\n\t\t}\n\t}\n\tif(this.popups.length === 0) {\n\t\tthis.rootElement.removeEventListener(\"click\",this,false);\n\t}\n};\n\n/*\nReturns true if the specified title and text identifies an active popup\n*/\nPopup.prototype.readPopupState = function(text) {\n\tvar popupLocationRegExp = /^\\((-?[0-9\\.E]+),(-?[0-9\\.E]+),(-?[0-9\\.E]+),(-?[0-9\\.E]+)\\)$/;\n\treturn popupLocationRegExp.test(text);\n};\n\nexports.Popup = Popup;\n\n})();\n",
"title": "$:/core/modules/utils/dom/popup.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/dom/scroller.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/dom/scroller.js\ntype: application/javascript\nmodule-type: utils\n\nModule that creates a $tw.utils.Scroller object prototype that manages scrolling in the browser\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nEvent handler for when the `tm-scroll` event hits the document body\n*/\nvar PageScroller = function() {\n\tthis.idRequestFrame = null;\n\tthis.requestAnimationFrame = window.requestAnimationFrame ||\n\t\twindow.webkitRequestAnimationFrame ||\n\t\twindow.mozRequestAnimationFrame ||\n\t\tfunction(callback) {\n\t\t\treturn window.setTimeout(callback, 1000/60);\n\t\t};\n\tthis.cancelAnimationFrame = window.cancelAnimationFrame ||\n\t\twindow.webkitCancelAnimationFrame ||\n\t\twindow.webkitCancelRequestAnimationFrame ||\n\t\twindow.mozCancelAnimationFrame ||\n\t\twindow.mozCancelRequestAnimationFrame ||\n\t\tfunction(id) {\n\t\t\twindow.clearTimeout(id);\n\t\t};\n};\n\nPageScroller.prototype.cancelScroll = function() {\n\tif(this.idRequestFrame) {\n\t\tthis.cancelAnimationFrame.call(window,this.idRequestFrame);\n\t\tthis.idRequestFrame = null;\n\t}\n};\n\n/*\nHandle an event\n*/\nPageScroller.prototype.handleEvent = function(event) {\n\tif(event.type === \"tm-scroll\") {\n\t\treturn this.scrollIntoView(event.target);\n\t}\n\treturn true;\n};\n\n/*\nHandle a scroll event hitting the page document\n*/\nPageScroller.prototype.scrollIntoView = function(element) {\n\tvar duration = $tw.utils.getAnimationDuration();\n\t// Now get ready to scroll the body\n\tthis.cancelScroll();\n\tthis.startTime = Date.now();\n\tvar scrollPosition = $tw.utils.getScrollPosition();\n\t// Get the client bounds of the element and adjust by the scroll position\n\tvar clientBounds = element.getBoundingClientRect(),\n\t\tbounds = {\n\t\t\tleft: clientBounds.left + scrollPosition.x,\n\t\t\ttop: clientBounds.top + scrollPosition.y,\n\t\t\twidth: clientBounds.width,\n\t\t\theight: clientBounds.height\n\t\t};\n\t// We'll consider the horizontal and vertical scroll directions separately via this function\n\tvar getEndPos = function(targetPos,targetSize,currentPos,currentSize) {\n\t\t\t// If the target is above/left of the current view, then scroll to it's top/left\n\t\t\tif(targetPos <= currentPos) {\n\t\t\t\treturn targetPos;\n\t\t\t// If the target is smaller than the window and the scroll position is too far up, then scroll till the target is at the bottom of the window\n\t\t\t} else if(targetSize < currentSize && currentPos < (targetPos + targetSize - currentSize)) {\n\t\t\t\treturn targetPos + targetSize - currentSize;\n\t\t\t// If the target is big, then just scroll to the top\n\t\t\t} else if(currentPos < targetPos) {\n\t\t\t\treturn targetPos;\n\t\t\t// Otherwise, stay where we are\n\t\t\t} else {\n\t\t\t\treturn currentPos;\n\t\t\t}\n\t\t},\n\t\tendX = getEndPos(bounds.left,bounds.width,scrollPosition.x,window.innerWidth),\n\t\tendY = getEndPos(bounds.top,bounds.height,scrollPosition.y,window.innerHeight);\n\t// Only scroll if necessary\n\tif(endX !== scrollPosition.x || endY !== scrollPosition.y) {\n\t\tvar self = this,\n\t\t\tdrawFrame;\n\t\tdrawFrame = function () {\n\t\t\tvar t;\n\t\t\tif(duration <= 0) {\n\t\t\t\tt = 1;\n\t\t\t} else {\n\t\t\t\tt = ((Date.now()) - self.startTime) / duration;\t\n\t\t\t}\n\t\t\tif(t >= 1) {\n\t\t\t\tself.cancelScroll();\n\t\t\t\tt = 1;\n\t\t\t}\n\t\t\tt = $tw.utils.slowInSlowOut(t);\n\t\t\twindow.scrollTo(scrollPosition.x + (endX - scrollPosition.x) * t,scrollPosition.y + (endY - scrollPosition.y) * t);\n\t\t\tif(t < 1) {\n\t\t\t\tself.idRequestFrame = self.requestAnimationFrame.call(window,drawFrame);\n\t\t\t}\n\t\t};\n\t\tdrawFrame();\n\t}\n};\n\nexports.PageScroller = PageScroller;\n\n})();\n",
"title": "$:/core/modules/utils/dom/scroller.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/fakedom.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/fakedom.js\ntype: application/javascript\nmodule-type: global\n\nA barebones implementation of DOM interfaces needed by the rendering mechanism.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Sequence number used to enable us to track objects for testing\nvar sequenceNumber = null;\n\nvar bumpSequenceNumber = function(object) {\n\tif(sequenceNumber !== null) {\n\t\tobject.sequenceNumber = sequenceNumber++;\n\t}\n};\n\nvar TW_TextNode = function(text) {\n\tbumpSequenceNumber(this);\n\tthis.textContent = text;\n};\n\nObject.defineProperty(TW_TextNode.prototype, \"formattedTextContent\", {\n\tget: function() {\n\t\treturn this.textContent.replace(/(\\r?\\n)/g,\"\");\n\t}\n});\n\nvar TW_Element = function(tag,namespace) {\n\tbumpSequenceNumber(this);\n\tthis.isTiddlyWikiFakeDom = true;\n\tthis.tag = tag;\n\tthis.attributes = {};\n\tthis.isRaw = false;\n\tthis.children = [];\n\tthis.style = {};\n\tthis.namespaceURI = namespace || \"http://www.w3.org/1999/xhtml\";\n};\n\nTW_Element.prototype.setAttribute = function(name,value) {\n\tif(this.isRaw) {\n\t\tthrow \"Cannot setAttribute on a raw TW_Element\";\n\t}\n\tthis.attributes[name] = value;\n};\n\nTW_Element.prototype.setAttributeNS = function(namespace,name,value) {\n\tthis.setAttribute(name,value);\n};\n\nTW_Element.prototype.removeAttribute = function(name) {\n\tif(this.isRaw) {\n\t\tthrow \"Cannot removeAttribute on a raw TW_Element\";\n\t}\n\tif($tw.utils.hop(this.attributes,name)) {\n\t\tdelete this.attributes[name];\n\t}\n};\n\nTW_Element.prototype.appendChild = function(node) {\n\tthis.children.push(node);\n\tnode.parentNode = this;\n};\n\nTW_Element.prototype.insertBefore = function(node,nextSibling) {\n\tif(nextSibling) {\n\t\tvar p = this.children.indexOf(nextSibling);\n\t\tif(p !== -1) {\n\t\t\tthis.children.splice(p,0,node);\n\t\t\tnode.parentNode = this;\n\t\t} else {\n\t\t\tthis.appendChild(node);\n\t\t}\n\t} else {\n\t\tthis.appendChild(node);\n\t}\n};\n\nTW_Element.prototype.removeChild = function(node) {\n\tvar p = this.children.indexOf(node);\n\tif(p !== -1) {\n\t\tthis.children.splice(p,1);\n\t}\n};\n\nTW_Element.prototype.hasChildNodes = function() {\n\treturn !!this.children.length;\n};\n\nObject.defineProperty(TW_Element.prototype, \"firstChild\", {\n\tget: function() {\n\t\treturn this.children[0];\n\t}\n});\n\nTW_Element.prototype.addEventListener = function(type,listener,useCapture) {\n\t// Do nothing\n};\n\nObject.defineProperty(TW_Element.prototype, \"className\", {\n\tget: function() {\n\t\treturn this.attributes[\"class\"] || \"\";\n\t},\n\tset: function(value) {\n\t\tthis.attributes[\"class\"] = value;\n\t}\n});\n\nObject.defineProperty(TW_Element.prototype, \"value\", {\n\tget: function() {\n\t\treturn this.attributes.value || \"\";\n\t},\n\tset: function(value) {\n\t\tthis.attributes.value = value;\n\t}\n});\n\nObject.defineProperty(TW_Element.prototype, \"outerHTML\", {\n\tget: function() {\n\t\tvar output = [],attr,a,v;\n\t\toutput.push(\"<\",this.tag);\n\t\tif(this.attributes) {\n\t\t\tattr = [];\n\t\t\tfor(a in this.attributes) {\n\t\t\t\tattr.push(a);\n\t\t\t}\n\t\t\tattr.sort();\n\t\t\tfor(a=0; a<attr.length; a++) {\n\t\t\t\tv = this.attributes[attr[a]];\n\t\t\t\tif(v !== undefined) {\n\t\t\t\t\toutput.push(\" \",attr[a],\"='\",$tw.utils.htmlEncode(v),\"'\");\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tif(this.style) {\n\t\t\tvar style = [];\n\t\t\tfor(var s in this.style) {\n\t\t\t\tstyle.push(s + \":\" + this.style[s] + \";\");\n\t\t\t}\n\t\t\tif(style.length > 0) {\n\t\t\t\toutput.push(\" style='\",style.join(\"\"),\"'\")\n\t\t\t}\n\t\t}\n\t\toutput.push(\">\");\n\t\tif($tw.config.htmlVoidElements.indexOf(this.tag) === -1) {\n\t\t\toutput.push(this.innerHTML);\n\t\t\toutput.push(\"</\",this.tag,\">\");\n\t\t}\n\t\treturn output.join(\"\");\n\t}\n});\n\nObject.defineProperty(TW_Element.prototype, \"innerHTML\", {\n\tget: function() {\n\t\tif(this.isRaw) {\n\t\t\treturn this.rawHTML;\n\t\t} else {\n\t\t\tvar b = [];\n\t\t\t$tw.utils.each(this.children,function(node) {\n\t\t\t\tif(node instanceof TW_Element) {\n\t\t\t\t\tb.push(node.outerHTML);\n\t\t\t\t} else if(node instanceof TW_TextNode) {\n\t\t\t\t\tb.push($tw.utils.htmlEncode(node.textContent));\n\t\t\t\t}\n\t\t\t});\n\t\t\treturn b.join(\"\");\n\t\t}\n\t},\n\tset: function(value) {\n\t\tthis.isRaw = true;\n\t\tthis.rawHTML = value;\n\t}\n});\n\nObject.defineProperty(TW_Element.prototype, \"textContent\", {\n\tget: function() {\n\t\tif(this.isRaw) {\n\t\t\tthrow \"Cannot get textContent on a raw TW_Element\";\n\t\t} else {\n\t\t\tvar b = [];\n\t\t\t$tw.utils.each(this.children,function(node) {\n\t\t\t\tb.push(node.textContent);\n\t\t\t});\n\t\t\treturn b.join(\"\");\n\t\t}\n\t},\n\tset: function(value) {\n\t\tthis.children = [new TW_TextNode(value)];\n\t}\n});\n\nObject.defineProperty(TW_Element.prototype, \"formattedTextContent\", {\n\tget: function() {\n\t\tif(this.isRaw) {\n\t\t\tthrow \"Cannot get formattedTextContent on a raw TW_Element\";\n\t\t} else {\n\t\t\tvar b = [],\n\t\t\t\tisBlock = $tw.config.htmlBlockElements.indexOf(this.tag) !== -1;\n\t\t\tif(isBlock) {\n\t\t\t\tb.push(\"\\n\");\n\t\t\t}\n\t\t\tif(this.tag === \"li\") {\n\t\t\t\tb.push(\"* \");\n\t\t\t}\n\t\t\t$tw.utils.each(this.children,function(node) {\n\t\t\t\tb.push(node.formattedTextContent);\n\t\t\t});\n\t\t\tif(isBlock) {\n\t\t\t\tb.push(\"\\n\");\n\t\t\t}\n\t\t\treturn b.join(\"\");\n\t\t}\n\t}\n});\n\nvar document = {\n\tsetSequenceNumber: function(value) {\n\t\tsequenceNumber = value;\n\t},\n\tcreateElementNS: function(namespace,tag) {\n\t\treturn new TW_Element(tag,namespace);\n\t},\n\tcreateElement: function(tag) {\n\t\treturn new TW_Element(tag);\n\t},\n\tcreateTextNode: function(text) {\n\t\treturn new TW_TextNode(text);\n\t},\n\tcompatMode: \"CSS1Compat\", // For KaTeX to know that we're not a browser in quirks mode\n\tisTiddlyWikiFakeDom: true\n};\n\nexports.fakeDocument = document;\n\n})();\n",
"title": "$:/core/modules/utils/fakedom.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/utils/filesystem.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/filesystem.js\ntype: application/javascript\nmodule-type: utils-node\n\nFile system utilities\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar fs = require(\"fs\"),\n\tpath = require(\"path\");\n\n/*\nRecursively (and synchronously) copy a directory and all its content\n*/\nexports.copyDirectory = function(srcPath,dstPath) {\n\t// Remove any trailing path separators\n\tsrcPath = $tw.utils.removeTrailingSeparator(srcPath);\n\tdstPath = $tw.utils.removeTrailingSeparator(dstPath);\n\t// Create the destination directory\n\tvar err = $tw.utils.createDirectory(dstPath);\n\tif(err) {\n\t\treturn err;\n\t}\n\t// Function to copy a folder full of files\n\tvar copy = function(srcPath,dstPath) {\n\t\tvar srcStats = fs.lstatSync(srcPath),\n\t\t\tdstExists = fs.existsSync(dstPath);\n\t\tif(srcStats.isFile()) {\n\t\t\t$tw.utils.copyFile(srcPath,dstPath);\n\t\t} else if(srcStats.isDirectory()) {\n\t\t\tvar items = fs.readdirSync(srcPath);\n\t\t\tfor(var t=0; t<items.length; t++) {\n\t\t\t\tvar item = items[t],\n\t\t\t\t\terr = copy(srcPath + path.sep + item,dstPath + path.sep + item);\n\t\t\t\tif(err) {\n\t\t\t\t\treturn err;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t};\n\tcopy(srcPath,dstPath);\n\treturn null;\n};\n\n/*\nCopy a file\n*/\nvar FILE_BUFFER_LENGTH = 64 * 1024,\n\tfileBuffer;\n\nexports.copyFile = function(srcPath,dstPath) {\n\t// Create buffer if required\n\tif(!fileBuffer) {\n\t\tfileBuffer = new Buffer(FILE_BUFFER_LENGTH);\n\t}\n\t// Create any directories in the destination\n\t$tw.utils.createDirectory(path.dirname(dstPath));\n\t// Copy the file\n\tvar srcFile = fs.openSync(srcPath,\"r\"),\n\t\tdstFile = fs.openSync(dstPath,\"w\"),\n\t\tbytesRead = 1,\n\t\tpos = 0;\n\twhile (bytesRead > 0) {\n\t\tbytesRead = fs.readSync(srcFile,fileBuffer,0,FILE_BUFFER_LENGTH,pos);\n\t\tfs.writeSync(dstFile,fileBuffer,0,bytesRead);\n\t\tpos += bytesRead;\n\t}\n\tfs.closeSync(srcFile);\n\tfs.closeSync(dstFile);\n\treturn null;\n};\n\n/*\nRemove trailing path separator\n*/\nexports.removeTrailingSeparator = function(dirPath) {\n\tvar len = dirPath.length;\n\tif(dirPath.charAt(len-1) === path.sep) {\n\t\tdirPath = dirPath.substr(0,len-1);\n\t}\n\treturn dirPath;\n};\n\n/*\nRecursively create a directory\n*/\nexports.createDirectory = function(dirPath) {\n\tif(dirPath.substr(dirPath.length-1,1) !== path.sep) {\n\t\tdirPath = dirPath + path.sep;\n\t}\n\tvar pos = 1;\n\tpos = dirPath.indexOf(path.sep,pos);\n\twhile(pos !== -1) {\n\t\tvar subDirPath = dirPath.substr(0,pos);\n\t\tif(!$tw.utils.isDirectory(subDirPath)) {\n\t\t\ttry {\n\t\t\t\tfs.mkdirSync(subDirPath);\n\t\t\t} catch(e) {\n\t\t\t\treturn \"Error creating directory '\" + subDirPath + \"'\";\n\t\t\t}\n\t\t}\n\t\tpos = dirPath.indexOf(path.sep,pos + 1);\n\t}\n\treturn null;\n};\n\n/*\nRecursively create directories needed to contain a specified file\n*/\nexports.createFileDirectories = function(filePath) {\n\treturn $tw.utils.createDirectory(path.dirname(filePath));\n};\n\n/*\nRecursively delete a directory\n*/\nexports.deleteDirectory = function(dirPath) {\n\tif(fs.existsSync(dirPath)) {\n\t\tvar entries = fs.readdirSync(dirPath);\n\t\tfor(var entryIndex=0; entryIndex<entries.length; entryIndex++) {\n\t\t\tvar currPath = dirPath + path.sep + entries[entryIndex];\n\t\t\tif(fs.lstatSync(currPath).isDirectory()) {\n\t\t\t\t$tw.utils.deleteDirectory(currPath);\n\t\t\t} else {\n\t\t\t\tfs.unlinkSync(currPath);\n\t\t\t}\n\t\t}\n\tfs.rmdirSync(dirPath);\n\t}\n\treturn null;\n};\n\n/*\nCheck if a path identifies a directory\n*/\nexports.isDirectory = function(dirPath) {\n\treturn fs.existsSync(dirPath) && fs.statSync(dirPath).isDirectory();\n};\n\n/*\nCheck if a path identifies a directory that is empty\n*/\nexports.isDirectoryEmpty = function(dirPath) {\n\tif(!$tw.utils.isDirectory(dirPath)) {\n\t\treturn false;\n\t}\n\tvar files = fs.readdirSync(dirPath),\n\t\tempty = true;\n\t$tw.utils.each(files,function(file,index) {\n\t\tif(file.charAt(0) !== \".\") {\n\t\t\tempty = false;\n\t\t}\n\t});\n\treturn empty;\n};\n\n})();\n",
"title": "$:/core/modules/utils/filesystem.js",
"type": "application/javascript",
"module-type": "utils-node"
},
"$:/core/modules/utils/logger.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/logger.js\ntype: application/javascript\nmodule-type: utils\n\nA basic logging implementation\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar ALERT_TAG = \"$:/tags/Alert\";\n\n/*\nMake a new logger\n*/\nfunction Logger(componentName) {\n\tthis.componentName = componentName || \"\";\n}\n\n/*\nLog a message\n*/\nLogger.prototype.log = function(/* args */) {\n\tif(console !== undefined && console.log !== undefined) {\n\t\treturn Function.apply.call(console.log, console, [this.componentName + \":\"].concat(Array.prototype.slice.call(arguments,0)));\n\t}\n};\n\n/*\nAlert a message\n*/\nLogger.prototype.alert = function(/* args */) {\n\t// Prepare the text of the alert\n\tvar text = Array.prototype.join.call(arguments,\" \");\n\t// Check if there is an existing alert with the same text and the same component\n\tvar existingAlerts = $tw.wiki.getTiddlersWithTag(ALERT_TAG),\n\t\talertFields,\n\t\texistingCount,\n\t\tself = this;\n\t$tw.utils.each(existingAlerts,function(title) {\n\t\tvar tiddler = $tw.wiki.getTiddler(title);\n\t\tif(tiddler.fields.text === text && tiddler.fields.component === self.componentName && tiddler.fields.modified && (!alertFields || tiddler.fields.modified < alertFields.modified)) {\n\t\t\t\talertFields = $tw.utils.extend({},tiddler.fields);\n\t\t}\n\t});\n\tif(alertFields) {\n\t\texistingCount = alertFields.count || 1;\n\t} else {\n\t\talertFields = {\n\t\t\ttitle: $tw.wiki.generateNewTitle(\"$:/temp/alerts/alert\",{prefix: \"\"}),\n\t\t\ttext: text,\n\t\t\ttags: [ALERT_TAG],\n\t\t\tcomponent: this.componentName\n\t\t};\n\t\texistingCount = 0;\n\t}\n\talertFields.modified = new Date();\n\tif(++existingCount > 1) {\n\t\talertFields.count = existingCount;\n\t} else {\n\t\talertFields.count = undefined;\n\t}\n\t$tw.wiki.addTiddler(new $tw.Tiddler(alertFields));\n\t// Log it too\n\tthis.log.apply(this,Array.prototype.slice.call(arguments,0));\n};\n\nexports.Logger = Logger;\n\n})();\n",
"title": "$:/core/modules/utils/logger.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/parsetree.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/parsetree.js\ntype: application/javascript\nmodule-type: utils\n\nParse tree utility functions.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nexports.addAttributeToParseTreeNode = function(node,name,value) {\n\tnode.attributes = node.attributes || {};\n\tnode.attributes[name] = {type: \"string\", value: value};\n};\n\nexports.getAttributeValueFromParseTreeNode = function(node,name,defaultValue) {\n\tif(node.attributes && node.attributes[name] && node.attributes[name].value !== undefined) {\n\t\treturn node.attributes[name].value;\n\t}\n\treturn defaultValue;\n};\n\nexports.addClassToParseTreeNode = function(node,classString) {\n\tvar classes = [];\n\tnode.attributes = node.attributes || {};\n\tnode.attributes[\"class\"] = node.attributes[\"class\"] || {type: \"string\", value: \"\"};\n\tif(node.attributes[\"class\"].type === \"string\") {\n\t\tif(node.attributes[\"class\"].value !== \"\") {\n\t\t\tclasses = node.attributes[\"class\"].value.split(\" \");\n\t\t}\n\t\tif(classString !== \"\") {\n\t\t\t$tw.utils.pushTop(classes,classString.split(\" \"));\n\t\t}\n\t\tnode.attributes[\"class\"].value = classes.join(\" \");\n\t}\n};\n\nexports.addStyleToParseTreeNode = function(node,name,value) {\n\t\tnode.attributes = node.attributes || {};\n\t\tnode.attributes.style = node.attributes.style || {type: \"string\", value: \"\"};\n\t\tif(node.attributes.style.type === \"string\") {\n\t\t\tnode.attributes.style.value += name + \":\" + value + \";\";\n\t\t}\n};\n\nexports.findParseTreeNode = function(nodeArray,search) {\n\tfor(var t=0; t<nodeArray.length; t++) {\n\t\tif(nodeArray[t].type === search.type && nodeArray[t].tag === search.tag) {\n\t\t\treturn nodeArray[t];\n\t\t}\n\t}\n\treturn undefined;\n};\n\n})();\n",
"title": "$:/core/modules/utils/parsetree.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/performance.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/performance.js\ntype: application/javascript\nmodule-type: global\n\nPerformance measurement.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nfunction Performance(enabled) {\n\tthis.enabled = !!enabled;\n\tthis.measures = {}; // Hashmap of current values of measurements\n\tthis.logger = new $tw.utils.Logger(\"performance\");\n}\n\n/*\nWrap performance reporting around a top level function\n*/\nPerformance.prototype.report = function(name,fn) {\n\tvar self = this;\n\tif(this.enabled) {\n\t\treturn function() {\n\t\t\tself.measures = {};\n\t\t\tvar startTime = $tw.utils.timer(),\n\t\t\t\tresult = fn.apply(this,arguments);\n\t\t\tself.logger.log(name + \": \" + $tw.utils.timer(startTime) + \"ms\");\n\t\t\tfor(var m in self.measures) {\n\t\t\t\tself.logger.log(\"+\" + m + \": \" + self.measures[m] + \"ms\");\n\t\t\t}\n\t\t\treturn result;\n\t\t};\n\t} else {\n\t\treturn fn;\n\t}\n};\n\n/*\nWrap performance measurements around a subfunction\n*/\nPerformance.prototype.measure = function(name,fn) {\n\tvar self = this;\n\tif(this.enabled) {\n\t\treturn function() {\n\t\t\tvar startTime = $tw.utils.timer(),\n\t\t\t\tresult = fn.apply(this,arguments),\n\t\t\t\tvalue = self.measures[name] || 0;\n\t\t\tself.measures[name] = value + $tw.utils.timer(startTime);\n\t\t\treturn result;\n\t\t};\n\t} else {\n\t\treturn fn;\n\t}\n};\n\nexports.Performance = Performance;\n\n})();\n",
"title": "$:/core/modules/utils/performance.js",
"type": "application/javascript",
"module-type": "global"
},
"$:/core/modules/utils/pluginmaker.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/pluginmaker.js\ntype: application/javascript\nmodule-type: utils\n\nA quick and dirty way to pack up plugins within the browser.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nRepack a plugin, and then delete any non-shadow payload tiddlers\n*/\nexports.repackPlugin = function(title,additionalTiddlers,excludeTiddlers) {\n\tadditionalTiddlers = additionalTiddlers || [];\n\texcludeTiddlers = excludeTiddlers || [];\n\t// Get the plugin tiddler\n\tvar pluginTiddler = $tw.wiki.getTiddler(title);\n\tif(!pluginTiddler) {\n\t\tthrow \"No such tiddler as \" + title;\n\t}\n\t// Extract the JSON\n\tvar jsonPluginTiddler;\n\ttry {\n\t\tjsonPluginTiddler = JSON.parse(pluginTiddler.fields.text);\n\t} catch(e) {\n\t\tthrow \"Cannot parse plugin tiddler \" + title + \"\\nError: \" + e;\n\t}\n\t// Get the list of tiddlers\n\tvar tiddlers = Object.keys(jsonPluginTiddler.tiddlers);\n\t// Add the additional tiddlers\n\t$tw.utils.pushTop(tiddlers,additionalTiddlers);\n\t// Remove any excluded tiddlers\n\tfor(var t=tiddlers.length-1; t>=0; t--) {\n\t\tif(excludeTiddlers.indexOf(tiddlers[t]) !== -1) {\n\t\t\ttiddlers.splice(t,1);\n\t\t}\n\t}\n\t// Pack up the tiddlers into a block of JSON\n\tvar plugins = {};\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar tiddler = $tw.wiki.getTiddler(title),\n\t\t\tfields = {};\n\t\t$tw.utils.each(tiddler.fields,function (value,name) {\n\t\t\tfields[name] = tiddler.getFieldString(name);\n\t\t});\n\t\tplugins[title] = fields;\n\t});\n\t// Retrieve and bump the version number\n\tvar pluginVersion = $tw.utils.parseVersion(pluginTiddler.getFieldString(\"version\") || \"0.0.0\") || {\n\t\t\tmajor: \"0\",\n\t\t\tminor: \"0\",\n\t\t\tpatch: \"0\"\n\t\t};\n\tpluginVersion.patch++;\n\tvar version = pluginVersion.major + \".\" + pluginVersion.minor + \".\" + pluginVersion.patch;\n\tif(pluginVersion.prerelease) {\n\t\tversion += \"-\" + pluginVersion.prerelease;\n\t}\n\tif(pluginVersion.build) {\n\t\tversion += \"+\" + pluginVersion.build;\n\t}\n\t// Save the tiddler\n\t$tw.wiki.addTiddler(new $tw.Tiddler(pluginTiddler,{text: JSON.stringify({tiddlers: plugins},null,4), version: version}));\n\t// Delete any non-shadow constituent tiddlers\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tif($tw.wiki.tiddlerExists(title)) {\n\t\t\t$tw.wiki.deleteTiddler(title);\n\t\t}\n\t});\n\t// Trigger an autosave\n\t$tw.rootWidget.dispatchEvent({type: \"tm-auto-save-wiki\"});\n\t// Return a heartwarming confirmation\n\treturn \"Plugin \" + title + \" successfully saved\";\n};\n\n})();\n",
"title": "$:/core/modules/utils/pluginmaker.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/utils/utils.js": {
"text": "/*\\\ntitle: $:/core/modules/utils/utils.js\ntype: application/javascript\nmodule-type: utils\n\nVarious static utility functions.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nDisplay a warning, in colour if we're on a terminal\n*/\nexports.warning = function(text) {\n\tconsole.log($tw.node ? \"\\x1b[1;33m\" + text + \"\\x1b[0m\" : text);\n}\n\n/*\nTrim whitespace from the start and end of a string\nThanks to Steven Levithan, http://blog.stevenlevithan.com/archives/faster-trim-javascript\n*/\nexports.trim = function(str) {\n\tif(typeof str === \"string\") {\n\t\treturn str.replace(/^\\s\\s*/, '').replace(/\\s\\s*$/, '');\n\t} else {\n\t\treturn str;\n\t}\n};\n\n/*\nReturn the number of keys in an object\n*/\nexports.count = function(object) {\n\tvar s = 0;\n\t$tw.utils.each(object,function() {s++;});\n\treturn s;\n};\n\n/*\nCheck if an array is equal by value and by reference.\n*/\nexports.isArrayEqual = function(array1,array2) {\n\tif(array1 === array2) {\n\t\treturn true;\n\t}\n\tarray1 = array1 || [];\n\tarray2 = array2 || [];\n\tif(array1.length !== array2.length) {\n\t\treturn false;\n\t}\n\treturn array1.every(function(value,index) {\n\t\treturn value === array2[index];\n\t});\n};\n\n/*\nPush entries onto an array, removing them first if they already exist in the array\n\tarray: array to modify (assumed to be free of duplicates)\n\tvalue: a single value to push or an array of values to push\n*/\nexports.pushTop = function(array,value) {\n\tvar t,p;\n\tif($tw.utils.isArray(value)) {\n\t\t// Remove any array entries that are duplicated in the new values\n\t\tif(value.length !== 0) {\n\t\t\tif(array.length !== 0) {\n\t\t\t\tif(value.length < array.length) {\n\t\t\t\t\tfor(t=0; t<value.length; t++) {\n\t\t\t\t\t\tp = array.indexOf(value[t]);\n\t\t\t\t\t\tif(p !== -1) {\n\t\t\t\t\t\t\tarray.splice(p,1);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\tfor(t=array.length-1; t>=0; t--) {\n\t\t\t\t\t\tp = value.indexOf(array[t]);\n\t\t\t\t\t\tif(p !== -1) {\n\t\t\t\t\t\t\tarray.splice(t,1);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\t// Push the values on top of the main array\n\t\t\tarray.push.apply(array,value);\n\t\t}\n\t} else {\n\t\tp = array.indexOf(value);\n\t\tif(p !== -1) {\n\t\t\tarray.splice(p,1);\n\t\t}\n\t\tarray.push(value);\n\t}\n\treturn array;\n};\n\n/*\nRemove entries from an array\n\tarray: array to modify\n\tvalue: a single value to remove, or an array of values to remove\n*/\nexports.removeArrayEntries = function(array,value) {\n\tvar t,p;\n\tif($tw.utils.isArray(value)) {\n\t\tfor(t=0; t<value.length; t++) {\n\t\t\tp = array.indexOf(value[t]);\n\t\t\tif(p !== -1) {\n\t\t\t\tarray.splice(p,1);\n\t\t\t}\n\t\t}\n\t} else {\n\t\tp = array.indexOf(value);\n\t\tif(p !== -1) {\n\t\t\tarray.splice(p,1);\n\t\t}\n\t}\n};\n\n/*\nCheck whether any members of a hashmap are present in another hashmap\n*/\nexports.checkDependencies = function(dependencies,changes) {\n\tvar hit = false;\n\t$tw.utils.each(changes,function(change,title) {\n\t\tif($tw.utils.hop(dependencies,title)) {\n\t\t\thit = true;\n\t\t}\n\t});\n\treturn hit;\n};\n\nexports.extend = function(object /* [, src] */) {\n\t$tw.utils.each(Array.prototype.slice.call(arguments, 1), function(source) {\n\t\tif(source) {\n\t\t\tfor(var property in source) {\n\t\t\t\tobject[property] = source[property];\n\t\t\t}\n\t\t}\n\t});\n\treturn object;\n};\n\nexports.deepCopy = function(object) {\n\tvar result,t;\n\tif($tw.utils.isArray(object)) {\n\t\t// Copy arrays\n\t\tresult = object.slice(0);\n\t} else if(typeof object === \"object\") {\n\t\tresult = {};\n\t\tfor(t in object) {\n\t\t\tif(object[t] !== undefined) {\n\t\t\t\tresult[t] = $tw.utils.deepCopy(object[t]);\n\t\t\t}\n\t\t}\n\t} else {\n\t\tresult = object;\n\t}\n\treturn result;\n};\n\nexports.extendDeepCopy = function(object,extendedProperties) {\n\tvar result = $tw.utils.deepCopy(object),t;\n\tfor(t in extendedProperties) {\n\t\tif(extendedProperties[t] !== undefined) {\n\t\t\tresult[t] = $tw.utils.deepCopy(extendedProperties[t]);\n\t\t}\n\t}\n\treturn result;\n};\n\nexports.slowInSlowOut = function(t) {\n\treturn (1 - ((Math.cos(t * Math.PI) + 1) / 2));\n};\n\nexports.formatDateString = function(date,template) {\n\tvar result = \"\",\n\t\tt = template,\n\t\tmatches = [\n\t\t\t[/^0hh12/, function() {\n\t\t\t\treturn $tw.utils.pad($tw.utils.getHours12(date));\n\t\t\t}],\n\t\t\t[/^wYYYY/, function() {\n\t\t\t\treturn $tw.utils.getYearForWeekNo(date);\n\t\t\t}],\n\t\t\t[/^hh12/, function() {\n\t\t\t\treturn $tw.utils.getHours12(date);\n\t\t\t}],\n\t\t\t[/^DDth/, function() {\n\t\t\t\treturn date.getDate() + $tw.utils.getDaySuffix(date);\n\t\t\t}],\n\t\t\t[/^YYYY/, function() {\n\t\t\t\treturn date.getFullYear();\n\t\t\t}],\n\t\t\t[/^0hh/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getHours());\n\t\t\t}],\n\t\t\t[/^0mm/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getMinutes());\n\t\t\t}],\n\t\t\t[/^0ss/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getSeconds());\n\t\t\t}],\n\t\t\t[/^0DD/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getDate());\n\t\t\t}],\n\t\t\t[/^0MM/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getMonth()+1);\n\t\t\t}],\n\t\t\t[/^0WW/, function() {\n\t\t\t\treturn $tw.utils.pad($tw.utils.getWeek(date));\n\t\t\t}],\n\t\t\t[/^ddd/, function() {\n\t\t\t\treturn $tw.language.getString(\"Date/Short/Day/\" + date.getDay());\n\t\t\t}],\n\t\t\t[/^mmm/, function() {\n\t\t\t\treturn $tw.language.getString(\"Date/Short/Month/\" + (date.getMonth() + 1));\n\t\t\t}],\n\t\t\t[/^DDD/, function() {\n\t\t\t\treturn $tw.language.getString(\"Date/Long/Day/\" + date.getDay());\n\t\t\t}],\n\t\t\t[/^MMM/, function() {\n\t\t\t\treturn $tw.language.getString(\"Date/Long/Month/\" + (date.getMonth() + 1));\n\t\t\t}],\n\t\t\t[/^TZD/, function() {\n\t\t\t\tvar tz = date.getTimezoneOffset(),\n\t\t\t\tatz = Math.abs(tz);\n\t\t\t\treturn (tz < 0 ? '+' : '-') + $tw.utils.pad(Math.floor(atz / 60)) + ':' + $tw.utils.pad(atz % 60);\n\t\t\t}],\n\t\t\t[/^wYY/, function() {\n\t\t\t\treturn $tw.utils.pad($tw.utils.getYearForWeekNo(date) - 2000);\n\t\t\t}],\n\t\t\t[/^[ap]m/, function() {\n\t\t\t\treturn $tw.utils.getAmPm(date).toLowerCase();\n\t\t\t}],\n\t\t\t[/^hh/, function() {\n\t\t\t\treturn date.getHours();\n\t\t\t}],\n\t\t\t[/^mm/, function() {\n\t\t\t\treturn date.getMinutes();\n\t\t\t}],\n\t\t\t[/^ss/, function() {\n\t\t\t\treturn date.getSeconds();\n\t\t\t}],\n\t\t\t[/^[AP]M/, function() {\n\t\t\t\treturn $tw.utils.getAmPm(date).toUpperCase();\n\t\t\t}],\n\t\t\t[/^DD/, function() {\n\t\t\t\treturn date.getDate();\n\t\t\t}],\n\t\t\t[/^MM/, function() {\n\t\t\t\treturn date.getMonth() + 1;\n\t\t\t}],\n\t\t\t[/^WW/, function() {\n\t\t\t\treturn $tw.utils.getWeek(date);\n\t\t\t}],\n\t\t\t[/^YY/, function() {\n\t\t\t\treturn $tw.utils.pad(date.getFullYear() - 2000);\n\t\t\t}]\n\t\t];\n\twhile(t.length){\n\t\tvar matchString = \"\";\n\t\t$tw.utils.each(matches, function(m) {\n\t\t\tvar match = m[0].exec(t);\n\t\t\tif(match) {\n\t\t\t\tmatchString = m[1].call();\n\t\t\t\tt = t.substr(match[0].length);\n\t\t\t\treturn false;\n\t\t\t}\n\t\t});\n\t\tif(matchString) {\n\t\t\tresult += matchString;\n\t\t} else {\n\t\t\tresult += t.charAt(0);\n\t\t\tt = t.substr(1);\n\t\t}\n\t}\n\tresult = result.replace(/\\\\(.)/g,\"$1\");\n\treturn result;\n};\n\nexports.getAmPm = function(date) {\n\treturn $tw.language.getString(\"Date/Period/\" + (date.getHours() >= 12 ? \"pm\" : \"am\"));\n};\n\nexports.getDaySuffix = function(date) {\n\treturn $tw.language.getString(\"Date/DaySuffix/\" + date.getDate());\n};\n\nexports.getWeek = function(date) {\n\tvar dt = new Date(date.getTime());\n\tvar d = dt.getDay();\n\tif(d === 0) {\n\t\td = 7; // JavaScript Sun=0, ISO Sun=7\n\t}\n\tdt.setTime(dt.getTime() + (4 - d) * 86400000);// shift day to Thurs of same week to calculate weekNo\n\tvar n = Math.floor((dt.getTime()-new Date(dt.getFullYear(),0,1) + 3600000) / 86400000);\n\treturn Math.floor(n / 7) + 1;\n};\n\nexports.getYearForWeekNo = function(date) {\n\tvar dt = new Date(date.getTime());\n\tvar d = dt.getDay();\n\tif(d === 0) {\n\t\td = 7; // JavaScript Sun=0, ISO Sun=7\n\t}\n\tdt.setTime(dt.getTime() + (4 - d) * 86400000);// shift day to Thurs of same week\n\treturn dt.getFullYear();\n};\n\nexports.getHours12 = function(date) {\n\tvar h = date.getHours();\n\treturn h > 12 ? h-12 : ( h > 0 ? h : 12 );\n};\n\n/*\nConvert a date delta in milliseconds into a string representation of \"23 seconds ago\", \"27 minutes ago\" etc.\n\tdelta: delta in milliseconds\nReturns an object with these members:\n\tdescription: string describing the delta period\n\tupdatePeriod: time in millisecond until the string will be inaccurate\n*/\nexports.getRelativeDate = function(delta) {\n\tvar futurep = false;\n\tif(delta < 0) {\n\t\tdelta = -1 * delta;\n\t\tfuturep = true;\n\t}\n\tvar units = [\n\t\t{name: \"Years\", duration: 365 * 24 * 60 * 60 * 1000},\n\t\t{name: \"Months\", duration: (365/12) * 24 * 60 * 60 * 1000},\n\t\t{name: \"Days\", duration: 24 * 60 * 60 * 1000},\n\t\t{name: \"Hours\", duration: 60 * 60 * 1000},\n\t\t{name: \"Minutes\", duration: 60 * 1000},\n\t\t{name: \"Seconds\", duration: 1000}\n\t];\n\tfor(var t=0; t<units.length; t++) {\n\t\tvar result = Math.floor(delta / units[t].duration);\n\t\tif(result >= 2) {\n\t\t\treturn {\n\t\t\t\tdelta: delta,\n\t\t\t\tdescription: $tw.language.getString(\n\t\t\t\t\t\"RelativeDate/\" + (futurep ? \"Future\" : \"Past\") + \"/\" + units[t].name,\n\t\t\t\t\t{variables:\n\t\t\t\t\t\t{period: result.toString()}\n\t\t\t\t\t}\n\t\t\t\t),\n\t\t\t\tupdatePeriod: units[t].duration\n\t\t\t};\n\t\t}\n\t}\n\treturn {\n\t\tdelta: delta,\n\t\tdescription: $tw.language.getString(\n\t\t\t\"RelativeDate/\" + (futurep ? \"Future\" : \"Past\") + \"/Second\",\n\t\t\t{variables:\n\t\t\t\t{period: \"1\"}\n\t\t\t}\n\t\t),\n\t\tupdatePeriod: 1000\n\t};\n};\n\n// Convert & to \"&\", < to \"<\", > to \">\" and \" to \""\"\nexports.htmlEncode = function(s) {\n\tif(s) {\n\t\treturn s.toString().replace(/&/mg,\"&\").replace(/</mg,\"<\").replace(/>/mg,\">\").replace(/\\\"/mg,\""\");\n\t} else {\n\t\treturn \"\";\n\t}\n};\n\n// Converts all HTML entities to their character equivalents\nexports.entityDecode = function(s) {\n\tvar e = s.substr(1,s.length-2); // Strip the & and the ;\n\tif(e.charAt(0) === \"#\") {\n\t\tif(e.charAt(1) === \"x\" || e.charAt(1) === \"X\") {\n\t\t\treturn String.fromCharCode(parseInt(e.substr(2),16));\t\n\t\t} else {\n\t\t\treturn String.fromCharCode(parseInt(e.substr(1),10));\n\t\t}\n\t} else {\n\t\tvar c = $tw.config.htmlEntities[e];\n\t\tif(c) {\n\t\t\treturn String.fromCharCode(c);\n\t\t} else {\n\t\t\treturn s; // Couldn't convert it as an entity, just return it raw\n\t\t}\n\t}\n};\n\nexports.unescapeLineBreaks = function(s) {\n\treturn s.replace(/\\\\n/mg,\"\\n\").replace(/\\\\b/mg,\" \").replace(/\\\\s/mg,\"\\\\\").replace(/\\r/mg,\"\");\n};\n\n/*\n * Returns an escape sequence for given character. Uses \\x for characters <=\n * 0xFF to save space, \\u for the rest.\n *\n * The code needs to be in sync with th code template in the compilation\n * function for \"action\" nodes.\n */\n// Copied from peg.js, thanks to David Majda\nexports.escape = function(ch) {\n\tvar charCode = ch.charCodeAt(0);\n\tif(charCode <= 0xFF) {\n\t\treturn '\\\\x' + $tw.utils.pad(charCode.toString(16).toUpperCase());\n\t} else {\n\t\treturn '\\\\u' + $tw.utils.pad(charCode.toString(16).toUpperCase(),4);\n\t}\n};\n\n// Turns a string into a legal JavaScript string\n// Copied from peg.js, thanks to David Majda\nexports.stringify = function(s) {\n\t/*\n\t* ECMA-262, 5th ed., 7.8.4: All characters may appear literally in a string\n\t* literal except for the closing quote character, backslash, carriage return,\n\t* line separator, paragraph separator, and line feed. Any character may\n\t* appear in the form of an escape sequence.\n\t*\n\t* For portability, we also escape escape all non-ASCII characters.\n\t*/\n\treturn s\n\t\t.replace(/\\\\/g, '\\\\\\\\') // backslash\n\t\t.replace(/\"/g, '\\\\\"') // double quote character\n\t\t.replace(/'/g, \"\\\\'\") // single quote character\n\t\t.replace(/\\r/g, '\\\\r') // carriage return\n\t\t.replace(/\\n/g, '\\\\n') // line feed\n\t\t.replace(/[\\x80-\\uFFFF]/g, exports.escape); // non-ASCII characters\n};\n\n/*\nEscape the RegExp special characters with a preceding backslash\n*/\nexports.escapeRegExp = function(s) {\n return s.replace(/[\\-\\/\\\\\\^\\$\\*\\+\\?\\.\\(\\)\\|\\[\\]\\{\\}]/g, '\\\\$&');\n};\n\nexports.nextTick = function(fn) {\n/*global window: false */\n\tif(typeof window !== \"undefined\") {\n\t\t// Apparently it would be faster to use postMessage - http://dbaron.org/log/20100309-faster-timeouts\n\t\twindow.setTimeout(fn,4);\n\t} else {\n\t\tprocess.nextTick(fn);\n\t}\n};\n\n/*\nConvert a hyphenated CSS property name into a camel case one\n*/\nexports.unHyphenateCss = function(propName) {\n\treturn propName.replace(/-([a-z])/gi, function(match0,match1) {\n\t\treturn match1.toUpperCase();\n\t});\n};\n\n/*\nConvert a camelcase CSS property name into a dashed one (\"backgroundColor\" --> \"background-color\")\n*/\nexports.hyphenateCss = function(propName) {\n\treturn propName.replace(/([A-Z])/g, function(match0,match1) {\n\t\treturn \"-\" + match1.toLowerCase();\n\t});\n};\n\n/*\nParse a text reference of one of these forms:\n* title\n* !!field\n* title!!field\n* title##index\n* etc\nReturns an object with the following fields, all optional:\n* title: tiddler title\n* field: tiddler field name\n* index: JSON property index\n*/\nexports.parseTextReference = function(textRef) {\n\t// Separate out the title, field name and/or JSON indices\n\tvar reTextRef = /(?:(.*?)!!(.+))|(?:(.*?)##(.+))|(.*)/mg,\n\t\tmatch = reTextRef.exec(textRef),\n\t\tresult = {};\n\tif(match && reTextRef.lastIndex === textRef.length) {\n\t\t// Return the parts\n\t\tif(match[1]) {\n\t\t\tresult.title = match[1];\n\t\t}\n\t\tif(match[2]) {\n\t\t\tresult.field = match[2];\n\t\t}\n\t\tif(match[3]) {\n\t\t\tresult.title = match[3];\n\t\t}\n\t\tif(match[4]) {\n\t\t\tresult.index = match[4];\n\t\t}\n\t\tif(match[5]) {\n\t\t\tresult.title = match[5];\n\t\t}\n\t} else {\n\t\t// If we couldn't parse it\n\t\tresult.title = textRef\n\t}\n\treturn result;\n};\n\n/*\nChecks whether a string is a valid fieldname\n*/\nexports.isValidFieldName = function(name) {\n\tif(!name || typeof name !== \"string\") {\n\t\treturn false;\n\t}\n\tname = name.toLowerCase().trim();\n\tvar fieldValidatorRegEx = /^[a-z0-9\\-\\._]+$/mg;\n\treturn fieldValidatorRegEx.test(name);\n};\n\n/*\nExtract the version number from the meta tag or from the boot file\n*/\n\n// Browser version\nexports.extractVersionInfo = function() {\n\tif($tw.packageInfo) {\n\t\treturn $tw.packageInfo.version;\n\t} else {\n\t\tvar metatags = document.getElementsByTagName(\"meta\");\n\t\tfor(var t=0; t<metatags.length; t++) {\n\t\t\tvar m = metatags[t];\n\t\t\tif(m.name === \"tiddlywiki-version\") {\n\t\t\t\treturn m.content;\n\t\t\t}\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nGet the animation duration in ms\n*/\nexports.getAnimationDuration = function() {\n\treturn parseInt($tw.wiki.getTiddlerText(\"$:/config/AnimationDuration\",\"400\"),10);\n};\n\n/*\nHash a string to a number\nDerived from http://stackoverflow.com/a/15710692\n*/\nexports.hashString = function(str) {\n\treturn str.split(\"\").reduce(function(a,b) {\n\t\ta = ((a << 5) - a) + b.charCodeAt(0);\n\t\treturn a & a;\n\t},0);\n};\n\n/*\nDecode a base64 string\n*/\nexports.base64Decode = function(string64) {\n\tif($tw.browser) {\n\t\t// TODO\n\t\tthrow \"$tw.utils.base64Decode() doesn't work in the browser\";\n\t} else {\n\t\treturn (new Buffer(string64,\"base64\")).toString();\n\t}\n};\n\n/*\nConvert a hashmap into a tiddler dictionary format sequence of name:value pairs\n*/\nexports.makeTiddlerDictionary = function(data) {\n\tvar output = [];\n\tfor(var name in data) {\n\t\toutput.push(name + \": \" + data[name]);\n\t}\n\treturn output.join(\"\\n\");\n};\n\n/*\nHigh resolution microsecond timer for profiling\n*/\nexports.timer = function(base) {\n\tvar m;\n\tif($tw.node) {\n\t\tvar r = process.hrtime();\t\t\n\t\tm = r[0] * 1e3 + (r[1] / 1e6);\n\t} else if(window.performance) {\n\t\tm = performance.now();\n\t} else {\n\t\tm = Date.now();\n\t}\n\tif(typeof base !== \"undefined\") {\n\t\tm = m - base;\n\t}\n\treturn m;\n};\n\n})();",
"title": "$:/core/modules/utils/utils.js",
"type": "application/javascript",
"module-type": "utils"
},
"$:/core/modules/widgets/action-deletefield.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/action-deletefield.js\ntype: application/javascript\nmodule-type: widget\n\nAction widget to delete fields of a tiddler.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar DeleteFieldWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nDeleteFieldWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nDeleteFieldWidget.prototype.render = function(parent,nextSibling) {\n\tthis.computeAttributes();\n\tthis.execute();\n};\n\n/*\nCompute the internal state of the widget\n*/\nDeleteFieldWidget.prototype.execute = function() {\n\tthis.actionTiddler = this.getAttribute(\"$tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.actionField = this.getAttribute(\"$field\");\n};\n\n/*\nRefresh the widget by ensuring our attributes are up to date\n*/\nDeleteFieldWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"$tiddler\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nInvoke the action associated with this widget\n*/\nDeleteFieldWidget.prototype.invokeAction = function(triggeringWidget,event) {\n\tvar self = this,\n\t\ttiddler = this.wiki.getTiddler(self.actionTiddler),\n\t\tremoveFields = {};\n\tif(this.actionField) {\n\t\tremoveFields[this.actionField] = undefined;\n\t}\n\tif(tiddler) {\n\t\t$tw.utils.each(this.attributes,function(attribute,name) {\n\t\t\tif(name.charAt(0) !== \"$\" && name !== \"title\") {\n\t\t\t\tremoveFields[name] = undefined;\n\t\t\t}\n\t\t});\n\t\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,removeFields));\n\t}\n\treturn true; // Action was invoked\n};\n\nexports[\"action-deletefield\"] = DeleteFieldWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/action-deletefield.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/action-deletetiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/action-deletetiddler.js\ntype: application/javascript\nmodule-type: widget\n\nAction widget to delete a tiddler.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar DeleteTiddlerWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nDeleteTiddlerWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nDeleteTiddlerWidget.prototype.render = function(parent,nextSibling) {\n\tthis.computeAttributes();\n\tthis.execute();\n};\n\n/*\nCompute the internal state of the widget\n*/\nDeleteTiddlerWidget.prototype.execute = function() {\n\tthis.actionFilter = this.getAttribute(\"$filter\");\n\tthis.actionTiddler = this.getAttribute(\"$tiddler\");\n};\n\n/*\nRefresh the widget by ensuring our attributes are up to date\n*/\nDeleteTiddlerWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"$filter\"] || changedAttributes[\"$tiddler\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nInvoke the action associated with this widget\n*/\nDeleteTiddlerWidget.prototype.invokeAction = function(triggeringWidget,event) {\n\tvar tiddlers = [];\n\tif(this.actionFilter) {\n\t\ttiddlers = this.wiki.filterTiddlers(this.actionFilter,this);\n\t}\n\tif(this.actionTiddler) {\n\t\ttiddlers.push(this.actionTiddler);\n\t}\n\tfor(var t=0; t<tiddlers.length; t++) {\n\t\tthis.wiki.deleteTiddler(tiddlers[t]);\n\t}\n\treturn true; // Action was invoked\n};\n\nexports[\"action-deletetiddler\"] = DeleteTiddlerWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/action-deletetiddler.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/action-navigate.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/action-navigate.js\ntype: application/javascript\nmodule-type: widget\n\nAction widget to navigate to a tiddler\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar NavigateWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nNavigateWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nNavigateWidget.prototype.render = function(parent,nextSibling) {\n\tthis.computeAttributes();\n\tthis.execute();\n};\n\n/*\nCompute the internal state of the widget\n*/\nNavigateWidget.prototype.execute = function() {\n\tthis.actionTo = this.getAttribute(\"$to\");\n\tthis.actionScroll = this.getAttribute(\"$scroll\");\n};\n\n/*\nRefresh the widget by ensuring our attributes are up to date\n*/\nNavigateWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"$to\"] || changedAttributes[\"$scroll\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nInvoke the action associated with this widget\n*/\nNavigateWidget.prototype.invokeAction = function(triggeringWidget,event) {\n\tvar bounds = triggeringWidget && triggeringWidget.getBoundingClientRect && triggeringWidget.getBoundingClientRect(),\n\t\tsuppressNavigation = event.metaKey || event.ctrlKey || (event.button === 1);\n\tif(this.actionScroll === \"yes\") {\n\t\tsuppressNavigation = false;\n\t} else if(this.actionScroll === \"no\") {\n\t\tsuppressNavigation = true;\n\t}\n\tthis.dispatchEvent({\n\t\ttype: \"tm-navigate\",\n\t\tnavigateTo: this.actionTo === undefined ? this.getVariable(\"currentTiddler\") : this.actionTo,\n\t\tnavigateFromTitle: this.getVariable(\"storyTiddler\"),\n\t\tnavigateFromNode: triggeringWidget,\n\t\tnavigateFromClientRect: bounds && { top: bounds.top, left: bounds.left, width: bounds.width, right: bounds.right, bottom: bounds.bottom, height: bounds.height\n\t\t},\n\t\tnavigateSuppressNavigation: suppressNavigation\n\t});\n\treturn true; // Action was invoked\n};\n\nexports[\"action-navigate\"] = NavigateWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/action-navigate.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/action-sendmessage.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/action-sendmessage.js\ntype: application/javascript\nmodule-type: widget\n\nAction widget to send a message\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar SendMessageWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nSendMessageWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nSendMessageWidget.prototype.render = function(parent,nextSibling) {\n\tthis.computeAttributes();\n\tthis.execute();\n};\n\n/*\nCompute the internal state of the widget\n*/\nSendMessageWidget.prototype.execute = function() {\n\tthis.actionMessage = this.getAttribute(\"$message\");\n\tthis.actionParam = this.getAttribute(\"$param\");\n};\n\n/*\nRefresh the widget by ensuring our attributes are up to date\n*/\nSendMessageWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"$message\"] || changedAttributes[\"$param\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nInvoke the action associated with this widget\n*/\nSendMessageWidget.prototype.invokeAction = function(triggeringWidget,event) {\n\t// Get the string parameter\n\tvar param = this.actionParam;\n\t// Assemble the attributes as a hashmap\n\tvar paramObject = Object.create(null);\n\tvar count = 0;\n\t$tw.utils.each(this.attributes,function(attribute,name) {\n\t\tif(name.charAt(0) !== \"$\") {\n\t\t\tparamObject[name] = attribute;\n\t\t\tcount++;\n\t\t}\n\t});\n\t// Dispatch the message\n\tthis.dispatchEvent({type: this.actionMessage, param: param, paramObject: paramObject, tiddlerTitle: this.getVariable(\"currentTiddler\")});\n\treturn true; // Action was invoked\n};\n\nexports[\"action-sendmessage\"] = SendMessageWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/action-sendmessage.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/action-setfield.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/action-setfield.js\ntype: application/javascript\nmodule-type: widget\n\nAction widget to set a single field or index on a tiddler.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar SetFieldWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nSetFieldWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nSetFieldWidget.prototype.render = function(parent,nextSibling) {\n\tthis.computeAttributes();\n\tthis.execute();\n};\n\n/*\nCompute the internal state of the widget\n*/\nSetFieldWidget.prototype.execute = function() {\n\tthis.actionTiddler = this.getAttribute(\"$tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.actionField = this.getAttribute(\"$field\");\n\tthis.actionIndex = this.getAttribute(\"$index\");\n\tthis.actionValue = this.getAttribute(\"$value\");\n};\n\n/*\nRefresh the widget by ensuring our attributes are up to date\n*/\nSetFieldWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"$tiddler\"] || changedAttributes[\"$field\"] || changedAttributes[\"$index\"] || changedAttributes[\"$value\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nInvoke the action associated with this widget\n*/\nSetFieldWidget.prototype.invokeAction = function(triggeringWidget,event) {\n\tvar self = this;\n\tif(typeof this.actionValue === \"string\") {\n\t\tthis.wiki.setText(this.actionTiddler,this.actionField,this.actionIndex,this.actionValue);\t\t\n\t}\n\t$tw.utils.each(this.attributes,function(attribute,name) {\n\t\tif(name.charAt(0) !== \"$\") {\n\t\t\tself.wiki.setText(self.actionTiddler,name,undefined,attribute);\n\t\t}\n\t});\n\treturn true; // Action was invoked\n};\n\nexports[\"action-setfield\"] = SetFieldWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/action-setfield.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/browse.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/browse.js\ntype: application/javascript\nmodule-type: widget\n\nBrowse widget for browsing for files to import\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar BrowseWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nBrowseWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nBrowseWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Remember parent\n\tthis.parentDomNode = parent;\n\t// Compute attributes and execute state\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create element\n\tvar domNode = this.document.createElement(\"input\");\n\tdomNode.setAttribute(\"type\",\"file\");\n\tif(this.browseMultiple) {\n\t\tdomNode.setAttribute(\"multiple\",\"multiple\");\n\t}\n\tif(this.tooltip) {\n\t\tdomNode.setAttribute(\"title\",this.tooltip);\n\t}\n\t// Add a click event handler\n\tdomNode.addEventListener(\"change\",function (event) {\n\t\tif(self.message) {\n\t\t\tself.dispatchEvent({type: self.message, param: event.target.files});\n\t\t} else {\n\t\t\tself.wiki.readFiles(event.target.files,function(tiddlerFieldsArray) {\n\t\t\t\tself.dispatchEvent({type: \"tm-import-tiddlers\", param: JSON.stringify(tiddlerFieldsArray)});\n\t\t\t});\n\t\t}\n\t\treturn false;\n\t},false);\n\t// Insert element\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nBrowseWidget.prototype.execute = function() {\n\tthis.browseMultiple = this.getAttribute(\"multiple\");\n\tthis.message = this.getAttribute(\"message\");\n\tthis.tooltip = this.getAttribute(\"tooltip\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nBrowseWidget.prototype.refresh = function(changedTiddlers) {\n\treturn false;\n};\n\nexports.browse = BrowseWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/browse.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/button.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/button.js\ntype: application/javascript\nmodule-type: widget\n\nButton widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ButtonWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nButtonWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nButtonWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Remember parent\n\tthis.parentDomNode = parent;\n\t// Compute attributes and execute state\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create element\n\tvar domNode = this.document.createElement(\"button\");\n\t// Assign classes\n\tvar classes = this[\"class\"].split(\" \") || [],\n\t\tisPoppedUp = this.popup && this.isPoppedUp();\n\tif(this.selectedClass) {\n\t\tif(this.set && this.setTo && this.isSelected()) {\n\t\t\t$tw.utils.pushTop(classes,this.selectedClass.split(\" \"));\n\t\t}\n\t\tif(isPoppedUp) {\n\t\t\t$tw.utils.pushTop(classes,this.selectedClass.split(\" \"));\n\t\t}\n\t}\n\tif(isPoppedUp) {\n\t\t$tw.utils.pushTop(classes,\"tc-popup-handle\");\n\t}\n\tdomNode.className = classes.join(\" \");\n\t// Assign other attributes\n\tif(this.style) {\n\t\tdomNode.setAttribute(\"style\",this.style);\n\t}\n\tif(this.tooltip) {\n\t\tdomNode.setAttribute(\"title\",this.tooltip);\n\t}\n\tif(this[\"aria-label\"]) {\n\t\tdomNode.setAttribute(\"aria-label\",this[\"aria-label\"]);\n\t}\n\t// Add a click event handler\n\tdomNode.addEventListener(\"click\",function (event) {\n\t\tvar handled = false;\n\t\tif(self.invokeActions(event)) {\n\t\t\thandled = true;\n\t\t}\n\t\tif(self.to) {\n\t\t\tself.navigateTo(event);\n\t\t\thandled = true;\n\t\t}\n\t\tif(self.message) {\n\t\t\tself.dispatchMessage(event);\n\t\t\thandled = true;\n\t\t}\n\t\tif(self.popup) {\n\t\t\tself.triggerPopup(event);\n\t\t\thandled = true;\n\t\t}\n\t\tif(self.set) {\n\t\t\tself.setTiddler();\n\t\t\thandled = true;\n\t\t}\n\t\tif(handled) {\n\t\t\tevent.preventDefault();\n\t\t\tevent.stopPropagation();\n\t\t}\n\t\treturn handled;\n\t},false);\n\t// Insert element\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\nButtonWidget.prototype.getBoundingClientRect = function() {\n\treturn this.domNodes[0].getBoundingClientRect();\n}\n\nButtonWidget.prototype.isSelected = function() {\n\tvar tiddler = this.wiki.getTiddler(this.set);\n\treturn tiddler ? tiddler.fields.text === this.setTo : this.defaultSetValue === this.setTo;\n};\n\nButtonWidget.prototype.isPoppedUp = function() {\n\tvar tiddler = this.wiki.getTiddler(this.popup);\n\tvar result = tiddler && tiddler.fields.text ? $tw.popup.readPopupState(tiddler.fields.text) : false;\n\treturn result;\n};\n\nButtonWidget.prototype.navigateTo = function(event) {\n\tvar bounds = this.getBoundingClientRect();\n\tthis.dispatchEvent({\n\t\ttype: \"tm-navigate\",\n\t\tnavigateTo: this.to,\n\t\tnavigateFromTitle: this.getVariable(\"storyTiddler\"),\n\t\tnavigateFromNode: this,\n\t\tnavigateFromClientRect: { top: bounds.top, left: bounds.left, width: bounds.width, right: bounds.right, bottom: bounds.bottom, height: bounds.height\n\t\t},\n\t\tnavigateSuppressNavigation: event.metaKey || event.ctrlKey || (event.button === 1)\n\t});\n};\n\nButtonWidget.prototype.dispatchMessage = function(event) {\n\tthis.dispatchEvent({type: this.message, param: this.param, tiddlerTitle: this.getVariable(\"currentTiddler\")});\n};\n\nButtonWidget.prototype.triggerPopup = function(event) {\n\t$tw.popup.triggerPopup({\n\t\tdomNode: this.domNodes[0],\n\t\ttitle: this.popup,\n\t\twiki: this.wiki\n\t});\n};\n\nButtonWidget.prototype.setTiddler = function() {\n\tthis.wiki.setTextReference(this.set,this.setTo,this.getVariable(\"currentTiddler\"));\n};\n\n/*\nCompute the internal state of the widget\n*/\nButtonWidget.prototype.execute = function() {\n\t// Get attributes\n\tthis.to = this.getAttribute(\"to\");\n\tthis.message = this.getAttribute(\"message\");\n\tthis.param = this.getAttribute(\"param\");\n\tthis.set = this.getAttribute(\"set\");\n\tthis.setTo = this.getAttribute(\"setTo\");\n\tthis.popup = this.getAttribute(\"popup\");\n\tthis.hover = this.getAttribute(\"hover\");\n\tthis[\"class\"] = this.getAttribute(\"class\",\"\");\n\tthis[\"aria-label\"] = this.getAttribute(\"aria-label\");\n\tthis.tooltip = this.getAttribute(\"tooltip\");\n\tthis.style = this.getAttribute(\"style\");\n\tthis.selectedClass = this.getAttribute(\"selectedClass\");\n\tthis.defaultSetValue = this.getAttribute(\"default\");\n\t// Make child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nButtonWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.to || changedAttributes.message || changedAttributes.param || changedAttributes.set || changedAttributes.setTo || changedAttributes.popup || changedAttributes.hover || changedAttributes[\"class\"] || changedAttributes.selectedClass || changedAttributes.style || (this.set && changedTiddlers[this.set]) || (this.popup && changedTiddlers[this.popup])) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.button = ButtonWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/button.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/checkbox.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/checkbox.js\ntype: application/javascript\nmodule-type: widget\n\nCheckbox widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar CheckboxWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nCheckboxWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nCheckboxWidget.prototype.render = function(parent,nextSibling) {\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Create our elements\n\tthis.labelDomNode = this.document.createElement(\"label\");\n\tthis.inputDomNode = this.document.createElement(\"input\");\n\tthis.inputDomNode.setAttribute(\"type\",\"checkbox\");\n\tif(this.getValue()) {\n\t\tthis.inputDomNode.setAttribute(\"checked\",\"true\");\n\t}\n\tthis.labelDomNode.appendChild(this.inputDomNode);\n\tthis.spanDomNode = this.document.createElement(\"span\");\n\tthis.labelDomNode.appendChild(this.spanDomNode);\n\t// Add a click event handler\n\t$tw.utils.addEventListeners(this.inputDomNode,[\n\t\t{name: \"change\", handlerObject: this, handlerMethod: \"handleChangeEvent\"}\n\t]);\n\t// Insert the label into the DOM and render any children\n\tparent.insertBefore(this.labelDomNode,nextSibling);\n\tthis.renderChildren(this.spanDomNode,null);\n\tthis.domNodes.push(this.labelDomNode);\n};\n\nCheckboxWidget.prototype.getValue = function() {\n\tvar tiddler = this.wiki.getTiddler(this.checkboxTitle);\n\tif(tiddler) {\n\t\tif(this.checkboxTag) {\n\t\t\treturn tiddler.hasTag(this.checkboxTag);\n\t\t}\n\t\tif(this.checkboxField) {\n\t\t\tvar value = tiddler.fields[this.checkboxField] || this.checkboxDefault || \"\";\n\t\t\tif(value === this.checkboxChecked) {\n\t\t\t\treturn true;\n\t\t\t}\n\t\t\tif(value === this.checkboxUnchecked) {\n\t\t\t\treturn false;\n\t\t\t}\n\t\t}\n\t} else {\n\t\tif(this.checkboxTag) {\n\t\t\treturn false;\n\t\t}\n\t\tif(this.checkboxField) {\n\t\t\tif(this.checkboxDefault === this.checkboxChecked) {\n\t\t\t\treturn true;\n\t\t\t}\n\t\t\tif(this.checkboxDefault === this.checkboxUnchecked) {\n\t\t\t\treturn false;\n\t\t\t}\n\t\t}\n\t}\n\treturn false;\n};\n\nCheckboxWidget.prototype.handleChangeEvent = function(event) {\n\tvar checked = this.inputDomNode.checked,\n\t\ttiddler = this.wiki.getTiddler(this.checkboxTitle),\n\t\tfallbackFields = {text: \"\"},\n\t\tnewFields = {title: this.checkboxTitle},\n\t\thasChanged = false;\n\t// Set the tag if specified\n\tif(this.checkboxTag && (!tiddler || tiddler.hasTag(this.checkboxTag) !== checked)) {\n\t\tnewFields.tags = tiddler ? (tiddler.fields.tags || []).slice(0) : [];\n\t\tvar pos = newFields.tags.indexOf(this.checkboxTag);\n\t\tif(pos !== -1) {\n\t\t\tnewFields.tags.splice(pos,1);\n\t\t}\n\t\tif(checked) {\n\t\t\tnewFields.tags.push(this.checkboxTag);\n\t\t}\n\t\thasChanged = true;\n\t}\n\t// Set the field if specified\n\tif(this.checkboxField) {\n\t\tvar value = checked ? this.checkboxChecked : this.checkboxUnchecked;\n\t\tif(!tiddler || tiddler.fields[this.checkboxField] !== value) {\n\t\t\tnewFields[this.checkboxField] = value;\n\t\t\thasChanged = true;\n\t\t}\n\t}\n\tif(hasChanged) {\n\t\tthis.wiki.addTiddler(new $tw.Tiddler(fallbackFields,tiddler,newFields,this.wiki.getModificationFields()));\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nCheckboxWidget.prototype.execute = function() {\n\t// Get the parameters from the attributes\n\tthis.checkboxTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.checkboxTag = this.getAttribute(\"tag\");\n\tthis.checkboxField = this.getAttribute(\"field\");\n\tthis.checkboxChecked = this.getAttribute(\"checked\");\n\tthis.checkboxUnchecked = this.getAttribute(\"unchecked\");\n\tthis.checkboxDefault = this.getAttribute(\"default\");\n\t// Make the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nCheckboxWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler || changedAttributes.tag || changedAttributes.field || changedAttributes.checked || changedAttributes.unchecked || changedAttributes[\"default\"] || changedAttributes[\"class\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\tvar refreshed = false;\n\t\tif(changedTiddlers[this.checkboxTitle]) {\n\t\t\tthis.inputDomNode.checked = this.getValue();\n\t\t\trefreshed = true;\n\t\t}\n\t\treturn this.refreshChildren(changedTiddlers) || refreshed;\n\t}\n};\n\nexports.checkbox = CheckboxWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/checkbox.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/codeblock.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/codeblock.js\ntype: application/javascript\nmodule-type: widget\n\nCode block node widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar CodeBlockWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nCodeBlockWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nCodeBlockWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar codeNode = this.document.createElement(\"code\"),\n\t\tdomNode = this.document.createElement(\"pre\");\n\tcodeNode.appendChild(this.document.createTextNode(this.getAttribute(\"code\")));\n\tdomNode.appendChild(codeNode);\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.domNodes.push(domNode);\n\tif(this.postRender) {\n\t\tthis.postRender();\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nCodeBlockWidget.prototype.execute = function() {\n\tthis.language = this.getAttribute(\"language\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nCodeBlockWidget.prototype.refresh = function(changedTiddlers) {\n\treturn false;\n};\n\nexports.codeblock = CodeBlockWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/codeblock.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/count.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/count.js\ntype: application/javascript\nmodule-type: widget\n\nCount widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar CountWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nCountWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nCountWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar textNode = this.document.createTextNode(this.currentCount);\n\tparent.insertBefore(textNode,nextSibling);\n\tthis.domNodes.push(textNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nCountWidget.prototype.execute = function() {\n\t// Get parameters from our attributes\n\tthis.filter = this.getAttribute(\"filter\");\n\t// Execute the filter\n\tif(this.filter) {\n\t\tthis.currentCount = this.wiki.filterTiddlers(this.filter,this).length;\n\t} else {\n\t\tthis.currentCount = undefined;\n\t}\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nCountWidget.prototype.refresh = function(changedTiddlers) {\n\t// Re-execute the filter to get the count\n\tthis.computeAttributes();\n\tvar oldCount = this.currentCount;\n\tthis.execute();\n\tif(this.currentCount !== oldCount) {\n\t\t// Regenerate and rerender the widget and replace the existing DOM node\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\n\t}\n\n};\n\nexports.count = CountWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/count.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/dropzone.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/dropzone.js\ntype: application/javascript\nmodule-type: widget\n\nDropzone widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar DropZoneWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nDropZoneWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nDropZoneWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Remember parent\n\tthis.parentDomNode = parent;\n\t// Compute attributes and execute state\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create element\n\tvar domNode = this.document.createElement(\"div\");\n\tdomNode.className = \"tc-dropzone\";\n\t// Add event handlers\n\t$tw.utils.addEventListeners(domNode,[\n\t\t{name: \"dragenter\", handlerObject: this, handlerMethod: \"handleDragEnterEvent\"},\n\t\t{name: \"dragover\", handlerObject: this, handlerMethod: \"handleDragOverEvent\"},\n\t\t{name: \"dragleave\", handlerObject: this, handlerMethod: \"handleDragLeaveEvent\"},\n\t\t{name: \"drop\", handlerObject: this, handlerMethod: \"handleDropEvent\"},\n\t\t{name: \"paste\", handlerObject: this, handlerMethod: \"handlePasteEvent\"}\n\t]);\n\tdomNode.addEventListener(\"click\",function (event) {\n\t},false);\n\t// Insert element\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\nDropZoneWidget.prototype.enterDrag = function() {\n\t// We count enter/leave events\n\tthis.dragEnterCount = (this.dragEnterCount || 0) + 1;\n\t// If we're entering for the first time we need to apply highlighting\n\tif(this.dragEnterCount === 1) {\n\t\t$tw.utils.addClass(this.domNodes[0],\"tc-dragover\");\n\t}\n};\n\nDropZoneWidget.prototype.leaveDrag = function() {\n\t// Reduce the enter count\n\tthis.dragEnterCount = (this.dragEnterCount || 0) - 1;\n\t// Remove highlighting if we're leaving externally\n\tif(this.dragEnterCount <= 0) {\n\t\t$tw.utils.removeClass(this.domNodes[0],\"tc-dragover\");\n\t}\n};\n\nDropZoneWidget.prototype.handleDragEnterEvent = function(event) {\n\tthis.enterDrag();\n\t// Tell the browser that we're ready to handle the drop\n\tevent.preventDefault();\n\t// Tell the browser not to ripple the drag up to any parent drop handlers\n\tevent.stopPropagation();\n};\n\nDropZoneWidget.prototype.handleDragOverEvent = function(event) {\n\t// Check for being over a TEXTAREA or INPUT\n\tif([\"TEXTAREA\",\"INPUT\"].indexOf(event.target.tagName) !== -1) {\n\t\treturn false;\n\t}\n\t// Tell the browser that we're still interested in the drop\n\tevent.preventDefault();\n\tevent.dataTransfer.dropEffect = \"copy\"; // Explicitly show this is a copy\n};\n\nDropZoneWidget.prototype.handleDragLeaveEvent = function(event) {\n\tthis.leaveDrag();\n};\n\nDropZoneWidget.prototype.handleDropEvent = function(event) {\n\tthis.leaveDrag();\n\t// Check for being over a TEXTAREA or INPUT\n\tif([\"TEXTAREA\",\"INPUT\"].indexOf(event.target.tagName) !== -1) {\n\t\treturn false;\n\t}\n\tvar self = this,\n\t\tdataTransfer = event.dataTransfer;\n\t// Reset the enter count\n\tthis.dragEnterCount = 0;\n\t// Remove highlighting\n\t$tw.utils.removeClass(this.domNodes[0],\"tc-dragover\");\n\t// Import any files in the drop\n\tvar numFiles = this.wiki.readFiles(dataTransfer.files,function(tiddlerFieldsArray) {\n\t\tself.dispatchEvent({type: \"tm-import-tiddlers\", param: JSON.stringify(tiddlerFieldsArray)});\n\t});\n\t// Try to import the various data types we understand\n\tif(numFiles === 0) {\n\t\tthis.importData(dataTransfer);\n\t}\n\t// Tell the browser that we handled the drop\n\tevent.preventDefault();\n\t// Stop the drop ripple up to any parent handlers\n\tevent.stopPropagation();\n};\n\nDropZoneWidget.prototype.importData = function(dataTransfer) {\n\t// Try each provided data type in turn\n\tfor(var t=0; t<this.importDataTypes.length; t++) {\n\t\tif(!$tw.browser.isIE || this.importDataTypes[t].IECompatible) {\n\t\t\t// Get the data\n\t\t\tvar dataType = this.importDataTypes[t];\n\t\t\t\tvar data = dataTransfer.getData(dataType.type);\n\t\t\t// Import the tiddlers in the data\n\t\t\tif(data !== \"\" && data !== null) {\n\t\t\t\tif($tw.log.IMPORT) {\n\t\t\t\t\tconsole.log(\"Importing data type '\" + dataType.type + \"', data: '\" + data + \"'\")\n\t\t\t\t}\n\t\t\t\tvar tiddlerFields = dataType.convertToFields(data);\n\t\t\t\tif(!tiddlerFields.title) {\n\t\t\t\t\ttiddlerFields.title = this.wiki.generateNewTitle(\"Untitled\");\n\t\t\t\t}\n\t\t\t\tthis.dispatchEvent({type: \"tm-import-tiddlers\", param: JSON.stringify([tiddlerFields])});\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t}\n};\n\nDropZoneWidget.prototype.importDataTypes = [\n\t{type: \"text/vnd.tiddler\", IECompatible: false, convertToFields: function(data) {\n\t\treturn JSON.parse(data);\n\t}},\n\t{type: \"URL\", IECompatible: true, convertToFields: function(data) {\n\t\t// Check for tiddler data URI\n\t\tvar match = decodeURI(data).match(/^data\\:text\\/vnd\\.tiddler,(.*)/i);\n\t\tif(match) {\n\t\t\treturn JSON.parse(match[1]);\n\t\t} else {\n\t\t\treturn { // As URL string\n\t\t\t\ttext: data\n\t\t\t};\n\t\t}\n\t}},\n\t{type: \"text/x-moz-url\", IECompatible: false, convertToFields: function(data) {\n\t\t// Check for tiddler data URI\n\t\tvar match = decodeURI(data).match(/^data\\:text\\/vnd\\.tiddler,(.*)/i);\n\t\tif(match) {\n\t\t\treturn JSON.parse(match[1]);\n\t\t} else {\n\t\t\treturn { // As URL string\n\t\t\t\ttext: data\n\t\t\t};\n\t\t}\n\t}},\n\t{type: \"text/html\", IECompatible: false, convertToFields: function(data) {\n\t\treturn {\n\t\t\ttext: data\n\t\t};\n\t}},\n\t{type: \"text/plain\", IECompatible: false, convertToFields: function(data) {\n\t\treturn {\n\t\t\ttext: data\n\t\t};\n\t}},\n\t{type: \"Text\", IECompatible: true, convertToFields: function(data) {\n\t\treturn {\n\t\t\ttext: data\n\t\t};\n\t}},\n\t{type: \"text/uri-list\", IECompatible: false, convertToFields: function(data) {\n\t\treturn {\n\t\t\ttext: data\n\t\t};\n\t}}\n];\n\nDropZoneWidget.prototype.handlePasteEvent = function(event) {\n\t// Let the browser handle it if we're in a textarea or input box\n\tif([\"TEXTAREA\",\"INPUT\"].indexOf(event.target.tagName) == -1) {\n\t\tvar self = this,\n\t\t\titems = event.clipboardData.items;\n\t\t// Enumerate the clipboard items\n\t\tfor(var t = 0; t<items.length; t++) {\n\t\t\tvar item = items[t];\n\t\t\tif(item.kind === \"file\") {\n\t\t\t\t// Import any files\n\t\t\t\tthis.wiki.readFile(item.getAsFile(),function(tiddlerFieldsArray) {\n\t\t\t\t\tself.dispatchEvent({type: \"tm-import-tiddlers\", param: JSON.stringify(tiddlerFieldsArray)});\n\t\t\t\t});\n\t\t\t} else if(item.kind === \"string\") {\n\t\t\t\t// Create tiddlers from string items\n\t\t\t\tvar type = item.type;\n\t\t\t\titem.getAsString(function(str) {\n\t\t\t\t\tvar tiddlerFields = {\n\t\t\t\t\t\ttitle: self.wiki.generateNewTitle(\"Untitled\"),\n\t\t\t\t\t\ttext: str,\n\t\t\t\t\t\ttype: type\n\t\t\t\t\t};\n\t\t\t\t\tif($tw.log.IMPORT) {\n\t\t\t\t\t\tconsole.log(\"Importing string '\" + str + \"', type: '\" + type + \"'\");\n\t\t\t\t\t}\n\t\t\t\t\tself.dispatchEvent({type: \"tm-import-tiddlers\", param: JSON.stringify([tiddlerFields])});\n\t\t\t\t});\n\t\t\t}\n\t\t}\n\t\t// Tell the browser that we've handled the paste\n\t\tevent.stopPropagation();\n\t\tevent.preventDefault();\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nDropZoneWidget.prototype.execute = function() {\n\t// Make child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nDropZoneWidget.prototype.refresh = function(changedTiddlers) {\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.dropzone = DropZoneWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/dropzone.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/edit-binary.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/edit-binary.js\ntype: application/javascript\nmodule-type: widget\n\nEdit-binary widget; placeholder for editing binary tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar BINARY_WARNING_MESSAGE = \"$:/core/ui/BinaryWarning\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EditBinaryWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEditBinaryWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEditBinaryWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nEditBinaryWidget.prototype.execute = function() {\n\t// Construct the child widgets\n\tthis.makeChildWidgets([{\n\t\ttype: \"transclude\",\n\t\tattributes: {\n\t\t\ttiddler: {type: \"string\", value: BINARY_WARNING_MESSAGE}\n\t\t}\n\t}]);\n};\n\n/*\nRefresh by refreshing our child widget\n*/\nEditBinaryWidget.prototype.refresh = function(changedTiddlers) {\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports[\"edit-binary\"] = EditBinaryWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/edit-binary.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/edit-bitmap.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/edit-bitmap.js\ntype: application/javascript\nmodule-type: widget\n\nEdit-bitmap widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n// Default image sizes\nvar DEFAULT_IMAGE_WIDTH = 300,\n\tDEFAULT_IMAGE_HEIGHT = 185;\n\n// Configuration tiddlers\nvar LINE_WIDTH_TITLE = \"$:/config/BitmapEditor/LineWidth\",\n\tLINE_COLOUR_TITLE = \"$:/config/BitmapEditor/Colour\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EditBitmapWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEditBitmapWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEditBitmapWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Create our element\n\tthis.canvasDomNode = $tw.utils.domMaker(\"canvas\",{\n\t\tdocument: this.document,\n\t\t\"class\":\"tc-edit-bitmapeditor\",\n\t\teventListeners: [{\n\t\t\tname: \"touchstart\", handlerObject: this, handlerMethod: \"handleTouchStartEvent\"\n\t\t},{\n\t\t\tname: \"touchmove\", handlerObject: this, handlerMethod: \"handleTouchMoveEvent\"\n\t\t},{\n\t\t\tname: \"touchend\", handlerObject: this, handlerMethod: \"handleTouchEndEvent\"\n\t\t},{\n\t\t\tname: \"mousedown\", handlerObject: this, handlerMethod: \"handleMouseDownEvent\"\n\t\t},{\n\t\t\tname: \"mousemove\", handlerObject: this, handlerMethod: \"handleMouseMoveEvent\"\n\t\t},{\n\t\t\tname: \"mouseup\", handlerObject: this, handlerMethod: \"handleMouseUpEvent\"\n\t\t}]\n\t});\n\tthis.widthDomNode = $tw.utils.domMaker(\"input\",{\n\t\tdocument: this.document,\n\t\t\"class\":\"tc-edit-bitmapeditor-width\",\n\t\teventListeners: [{\n\t\t\tname: \"change\", handlerObject: this, handlerMethod: \"handleWidthChangeEvent\"\n\t\t}]\n\t});\n\tthis.heightDomNode = $tw.utils.domMaker(\"input\",{\n\t\tdocument: this.document,\n\t\t\"class\":\"tc-edit-bitmapeditor-height\",\n\t\teventListeners: [{\n\t\t\tname: \"change\", handlerObject: this, handlerMethod: \"handleHeightChangeEvent\"\n\t\t}]\n\t});\n\t// Insert the elements into the DOM\n\tparent.insertBefore(this.canvasDomNode,nextSibling);\n\tparent.insertBefore(this.widthDomNode,nextSibling);\n\tparent.insertBefore(this.heightDomNode,nextSibling);\n\tthis.domNodes.push(this.canvasDomNode,this.widthDomNode,this.heightDomNode);\n\t// Load the image into the canvas\n\tif($tw.browser) {\n\t\tthis.loadCanvas();\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nEditBitmapWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.editTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n};\n\n/*\nNote that the bitmap editor intentionally doesn't try to refresh itself because it would be confusing to have the image changing spontaneously while editting it\n*/\nEditBitmapWidget.prototype.refresh = function(changedTiddlers) {\n\treturn false;\n};\n\nEditBitmapWidget.prototype.loadCanvas = function() {\n\tvar tiddler = this.wiki.getTiddler(this.editTitle),\n\t\tcurrImage = new Image();\n\t// Set up event handlers for loading the image\n\tvar self = this;\n\tcurrImage.onload = function() {\n\t\t// Copy the image to the on-screen canvas\n\t\tself.initCanvas(self.canvasDomNode,currImage.width,currImage.height,currImage);\n\t\t// And also copy the current bitmap to the off-screen canvas\n\t\tself.currCanvas = self.document.createElement(\"canvas\");\n\t\tself.initCanvas(self.currCanvas,currImage.width,currImage.height,currImage);\n\t\t// Set the width and height input boxes\n\t\tself.updateSize();\n\t};\n\tcurrImage.onerror = function() {\n\t\t// Set the on-screen canvas size and clear it\n\t\tself.initCanvas(self.canvasDomNode,DEFAULT_IMAGE_WIDTH,DEFAULT_IMAGE_HEIGHT);\n\t\t// Set the off-screen canvas size and clear it\n\t\tself.currCanvas = self.document.createElement(\"canvas\");\n\t\tself.initCanvas(self.currCanvas,DEFAULT_IMAGE_WIDTH,DEFAULT_IMAGE_HEIGHT);\n\t\t// Set the width and height input boxes\n\t\tself.updateSize();\n\t};\n\t// Get the current bitmap into an image object\n\tcurrImage.src = \"data:\" + tiddler.fields.type + \";base64,\" + tiddler.fields.text;\n};\n\nEditBitmapWidget.prototype.initCanvas = function(canvas,width,height,image) {\n\tcanvas.width = width;\n\tcanvas.height = height;\n\tvar ctx = canvas.getContext(\"2d\");\n\tif(image) {\n\t\tctx.drawImage(image,0,0);\n\t} else {\n\t\tctx.fillStyle = \"#fff\";\n\t\tctx.fillRect(0,0,canvas.width,canvas.height);\n\t}\n};\n\n/*\n** Update the input boxes with the actual size of the canvas\n*/\nEditBitmapWidget.prototype.updateSize = function() {\n\tthis.widthDomNode.value = this.currCanvas.width;\n\tthis.heightDomNode.value = this.currCanvas.height;\n};\n\n/*\n** Change the size of the canvas, preserving the current image\n*/\nEditBitmapWidget.prototype.changeCanvasSize = function(newWidth,newHeight) {\n\t// Create and size a new canvas\n\tvar newCanvas = this.document.createElement(\"canvas\");\n\tthis.initCanvas(newCanvas,newWidth,newHeight);\n\t// Copy the old image\n\tvar ctx = newCanvas.getContext(\"2d\");\n\tctx.drawImage(this.currCanvas,0,0);\n\t// Set the new canvas as the current one\n\tthis.currCanvas = newCanvas;\n\t// Set the size of the onscreen canvas\n\tthis.canvasDomNode.width = newWidth;\n\tthis.canvasDomNode.height = newHeight;\n\t// Paint the onscreen canvas with the offscreen canvas\n\tctx = this.canvasDomNode.getContext(\"2d\");\n\tctx.drawImage(this.currCanvas,0,0);\n};\n\nEditBitmapWidget.prototype.handleWidthChangeEvent = function(event) {\n\t// Get the new width\n\tvar newWidth = parseInt(this.widthDomNode.value,10);\n\t// Update if necessary\n\tif(newWidth > 0 && newWidth !== this.currCanvas.width) {\n\t\tthis.changeCanvasSize(newWidth,this.currCanvas.height);\n\t}\n\t// Update the input controls\n\tthis.updateSize();\n};\n\nEditBitmapWidget.prototype.handleHeightChangeEvent = function(event) {\n\t// Get the new width\n\tvar newHeight = parseInt(this.heightDomNode.value,10);\n\t// Update if necessary\n\tif(newHeight > 0 && newHeight !== this.currCanvas.height) {\n\t\tthis.changeCanvasSize(this.currCanvas.width,newHeight);\n\t}\n\t// Update the input controls\n\tthis.updateSize();\n};\n\nEditBitmapWidget.prototype.handleTouchStartEvent = function(event) {\n\tthis.brushDown = true;\n\tthis.strokeStart(event.touches[0].clientX,event.touches[0].clientY);\n\tevent.preventDefault();\n\tevent.stopPropagation();\n\treturn false;\n};\n\nEditBitmapWidget.prototype.handleTouchMoveEvent = function(event) {\n\tif(this.brushDown) {\n\t\tthis.strokeMove(event.touches[0].clientX,event.touches[0].clientY);\n\t}\n\tevent.preventDefault();\n\tevent.stopPropagation();\n\treturn false;\n};\n\nEditBitmapWidget.prototype.handleTouchEndEvent = function(event) {\n\tif(this.brushDown) {\n\t\tthis.brushDown = false;\n\t\tthis.strokeEnd();\n\t}\n\tevent.preventDefault();\n\tevent.stopPropagation();\n\treturn false;\n};\n\nEditBitmapWidget.prototype.handleMouseDownEvent = function(event) {\n\tthis.strokeStart(event.clientX,event.clientY);\n\tthis.brushDown = true;\n\tevent.preventDefault();\n\tevent.stopPropagation();\n\treturn false;\n};\n\nEditBitmapWidget.prototype.handleMouseMoveEvent = function(event) {\n\tif(this.brushDown) {\n\t\tthis.strokeMove(event.clientX,event.clientY);\n\t\tevent.preventDefault();\n\t\tevent.stopPropagation();\n\t\treturn false;\n\t}\n\treturn true;\n};\n\nEditBitmapWidget.prototype.handleMouseUpEvent = function(event) {\n\tif(this.brushDown) {\n\t\tthis.brushDown = false;\n\t\tthis.strokeEnd();\n\t\tevent.preventDefault();\n\t\tevent.stopPropagation();\n\t\treturn false;\n\t}\n\treturn true;\n};\n\nEditBitmapWidget.prototype.adjustCoordinates = function(x,y) {\n\tvar canvasRect = this.canvasDomNode.getBoundingClientRect(),\n\t\tscale = this.canvasDomNode.width/canvasRect.width;\n\treturn {x: (x - canvasRect.left) * scale, y: (y - canvasRect.top) * scale};\n};\n\nEditBitmapWidget.prototype.strokeStart = function(x,y) {\n\t// Start off a new stroke\n\tthis.stroke = [this.adjustCoordinates(x,y)];\n};\n\nEditBitmapWidget.prototype.strokeMove = function(x,y) {\n\tvar ctx = this.canvasDomNode.getContext(\"2d\"),\n\t\tt;\n\t// Add the new position to the end of the stroke\n\tthis.stroke.push(this.adjustCoordinates(x,y));\n\t// Redraw the previous image\n\tctx.drawImage(this.currCanvas,0,0);\n\t// Render the stroke\n\tctx.strokeStyle = this.wiki.getTiddlerText(LINE_COLOUR_TITLE,\"#ff0\");\n\tctx.lineWidth = parseInt(this.wiki.getTiddlerText(LINE_WIDTH_TITLE,\"3\"),10);\n\tctx.lineCap = \"round\";\n\tctx.lineJoin = \"round\";\n\tctx.beginPath();\n\tctx.moveTo(this.stroke[0].x,this.stroke[0].y);\n\tfor(t=1; t<this.stroke.length-1; t++) {\n\t\tvar s1 = this.stroke[t],\n\t\t\ts2 = this.stroke[t-1],\n\t\t\ttx = (s1.x + s2.x)/2,\n\t\t\tty = (s1.y + s2.y)/2;\n\t\tctx.quadraticCurveTo(s2.x,s2.y,tx,ty);\n\t}\n\tctx.stroke();\n};\n\nEditBitmapWidget.prototype.strokeEnd = function() {\n\t// Copy the bitmap to the off-screen canvas\n\tvar ctx = this.currCanvas.getContext(\"2d\");\n\tctx.drawImage(this.canvasDomNode,0,0);\n\t// Save the image into the tiddler\n\tthis.saveChanges();\n};\n\nEditBitmapWidget.prototype.saveChanges = function() {\n\tvar tiddler = this.wiki.getTiddler(this.editTitle);\n\tif(tiddler) {\n\t\t// data URIs look like \"data:<type>;base64,<text>\"\n\t\tvar dataURL = this.canvasDomNode.toDataURL(tiddler.fields.type,1.0),\n\t\t\tposColon = dataURL.indexOf(\":\"),\n\t\t\tposSemiColon = dataURL.indexOf(\";\"),\n\t\t\tposComma = dataURL.indexOf(\",\"),\n\t\t\ttype = dataURL.substring(posColon+1,posSemiColon),\n\t\t\ttext = dataURL.substring(posComma+1);\n\t\tvar update = {type: type, text: text};\n\t\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,update));\n\t}\n};\n\nexports[\"edit-bitmap\"] = EditBitmapWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/edit-bitmap.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/edit-text.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/edit-text.js\ntype: application/javascript\nmodule-type: widget\n\nEdit-text widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar DEFAULT_MIN_TEXT_AREA_HEIGHT = \"100px\"; // Minimum height of textareas in pixels\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EditTextWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEditTextWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEditTextWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Create our element\n\tvar editInfo = this.getEditInfo();\n\tvar domNode = this.document.createElement(this.editTag);\n\tif(this.editType) {\n\t\tdomNode.setAttribute(\"type\",this.editType);\n\t}\n\tif(editInfo.value === \"\" && this.editPlaceholder) {\n\t\tdomNode.setAttribute(\"placeholder\",this.editPlaceholder);\n\t}\n\tif(this.editSize) {\n\t\tdomNode.setAttribute(\"size\",this.editSize);\n\t}\n\t// Assign classes\n\tif(this.editClass) {\n\t\tdomNode.className = this.editClass;\n\t}\n\t// Set the text\n\tif(this.editTag === \"textarea\") {\n\t\tdomNode.appendChild(this.document.createTextNode(editInfo.value));\n\t} else {\n\t\tdomNode.value = editInfo.value;\n\t}\n\t// Add an input event handler\n\t$tw.utils.addEventListeners(domNode,[\n\t\t{name: \"focus\", handlerObject: this, handlerMethod: \"handleFocusEvent\"},\n\t\t{name: \"input\", handlerObject: this, handlerMethod: \"handleInputEvent\"}\n\t]);\n\t// Insert the element into the DOM\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.domNodes.push(domNode);\n\tif(this.postRender) {\n\t\tthis.postRender();\n\t}\n\t// Fix height\n\tthis.fixHeight();\n\t// Focus field\n\tif(this.editFocus === \"true\") {\n\t\tdomNode.focus();\n\t\tdomNode.select();\n\t}\n};\n\n/*\nGet the tiddler being edited and current value\n*/\nEditTextWidget.prototype.getEditInfo = function() {\n\t// Get the edit value\n\tvar self = this,\n\t\tvalue,\n\t\tupdate;\n\tif(this.editIndex) {\n\t\tvalue = this.wiki.extractTiddlerDataItem(this.editTitle,this.editIndex,this.editDefault);\n\t\tupdate = function(value) {\n\t\t\tvar data = self.wiki.getTiddlerData(self.editTitle,{});\n\t\t\tif(data[self.editIndex] !== value) {\n\t\t\t\tdata[self.editIndex] = value;\n\t\t\t\tself.wiki.setTiddlerData(self.editTitle,data);\n\t\t\t}\n\t\t};\n\t} else {\n\t\t// Get the current tiddler and the field name\n\t\tvar tiddler = this.wiki.getTiddler(this.editTitle);\n\t\tif(tiddler) {\n\t\t\t// If we've got a tiddler, the value to display is the field string value\n\t\t\tvalue = tiddler.getFieldString(this.editField);\n\t\t} else {\n\t\t\t// Otherwise, we need to construct a default value for the editor\n\t\t\tswitch(this.editField) {\n\t\t\t\tcase \"text\":\n\t\t\t\t\tvalue = \"Type the text for the tiddler '\" + this.editTitle + \"'\";\n\t\t\t\t\tbreak;\n\t\t\t\tcase \"title\":\n\t\t\t\t\tvalue = this.editTitle;\n\t\t\t\t\tbreak;\n\t\t\t\tdefault:\n\t\t\t\t\tvalue = \"\";\n\t\t\t\t\tbreak;\n\t\t\t}\n\t\t\tif(this.editDefault !== undefined) {\n\t\t\t\tvalue = this.editDefault;\n\t\t\t}\n\t\t}\n\t\tupdate = function(value) {\n\t\t\tvar tiddler = self.wiki.getTiddler(self.editTitle),\n\t\t\t\tupdateFields = {\n\t\t\t\t\ttitle: self.editTitle\n\t\t\t\t};\n\t\t\tupdateFields[self.editField] = value;\n\t\t\tself.wiki.addTiddler(new $tw.Tiddler(self.wiki.getCreationFields(),tiddler,updateFields,self.wiki.getModificationFields()));\n\t\t};\n\t}\n\treturn {value: value, update: update};\n};\n\n/*\nCompute the internal state of the widget\n*/\nEditTextWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.editTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.editField = this.getAttribute(\"field\",\"text\");\n\tthis.editIndex = this.getAttribute(\"index\");\n\tthis.editDefault = this.getAttribute(\"default\");\n\tthis.editClass = this.getAttribute(\"class\");\n\tthis.editPlaceholder = this.getAttribute(\"placeholder\");\n\tthis.editSize = this.getAttribute(\"size\");\n\tthis.editAutoHeight = this.getAttribute(\"autoHeight\",\"yes\") === \"yes\";\n\tthis.editMinHeight = this.getAttribute(\"minHeight\",DEFAULT_MIN_TEXT_AREA_HEIGHT);\n\tthis.editFocusPopup = this.getAttribute(\"focusPopup\");\n\tthis.editFocus = this.getAttribute(\"focus\");\n\t// Get the editor element tag and type\n\tvar tag,type;\n\tif(this.editField === \"text\") {\n\t\ttag = \"textarea\";\n\t} else {\n\t\ttag = \"input\";\n\t\tvar fieldModule = $tw.Tiddler.fieldModules[this.editField];\n\t\tif(fieldModule && fieldModule.editTag) {\n\t\t\ttag = fieldModule.editTag;\n\t\t}\n\t\tif(fieldModule && fieldModule.editType) {\n\t\t\ttype = fieldModule.editType;\n\t\t}\n\t\ttype = type || \"text\";\n\t}\n\t// Get the rest of our parameters\n\tthis.editTag = this.getAttribute(\"tag\",tag);\n\tthis.editType = this.getAttribute(\"type\",type);\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nEditTextWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\t// Completely rerender if any of our attributes have changed\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.index || changedAttributes[\"default\"] || changedAttributes[\"class\"] || changedAttributes.placeholder || changedAttributes.size || changedAttributes.autoHeight || changedAttributes.minHeight || changedAttributes.focusPopup) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else if(changedTiddlers[this.editTitle]) {\n\t\tthis.updateEditor(this.getEditInfo().value);\n\t\treturn true;\n\t}\n\treturn false;\n};\n\n/*\nUpdate the editor with new text. This method is separate from updateEditorDomNode()\nso that subclasses can override updateEditor() and still use updateEditorDomNode()\n*/\nEditTextWidget.prototype.updateEditor = function(text) {\n\tthis.updateEditorDomNode(text);\n};\n\n/*\nUpdate the editor dom node with new text\n*/\nEditTextWidget.prototype.updateEditorDomNode = function(text) {\n\t// Replace the edit value if the tiddler we're editing has changed\n\tvar domNode = this.domNodes[0];\n\tif(!domNode.isTiddlyWikiFakeDom) {\n\t\tif(this.document.activeElement !== domNode) {\n\t\t\tdomNode.value = text;\n\t\t}\n\t\t// Fix the height if needed\n\t\tthis.fixHeight();\n\t}\n};\n\n/*\nFix the height of textareas to fit their content\n*/\nEditTextWidget.prototype.fixHeight = function() {\n\tvar self = this,\n\t\tdomNode = this.domNodes[0];\n\tif(this.editAutoHeight && domNode && !domNode.isTiddlyWikiFakeDom && this.editTag === \"textarea\") {\n\t\t// Resize the textarea to fit its content, preserving scroll position\n\t\tvar scrollPosition = $tw.utils.getScrollPosition(),\n\t\t\tscrollTop = scrollPosition.y;\n\t\t// Measure the specified minimum height\n\t\tdomNode.style.height = self.editMinHeight;\n\t\tvar minHeight = domNode.offsetHeight;\n\t\t// Set its height to auto so that it snaps to the correct height\n\t\tdomNode.style.height = \"auto\";\n\t\t// Calculate the revised height\n\t\tvar newHeight = Math.max(domNode.scrollHeight + domNode.offsetHeight - domNode.clientHeight,minHeight);\n\t\t// Only try to change the height if it has changed\n\t\tif(newHeight !== domNode.offsetHeight) {\n\t\t\tdomNode.style.height = newHeight + \"px\";\n\t\t\t// Make sure that the dimensions of the textarea are recalculated\n\t\t\t$tw.utils.forceLayout(domNode);\n\t\t\t// Check that the scroll position is still visible before trying to scroll back to it\n\t\t\tscrollTop = Math.min(scrollTop,self.document.body.scrollHeight - window.innerHeight);\n\t\t\twindow.scrollTo(scrollPosition.x,scrollTop);\n\t\t}\n\t}\n};\n\n/*\nHandle a dom \"input\" event\n*/\nEditTextWidget.prototype.handleInputEvent = function(event) {\n\tthis.saveChanges(this.domNodes[0].value);\n\tthis.fixHeight();\n\treturn true;\n};\n\nEditTextWidget.prototype.handleFocusEvent = function(event) {\n\tif(this.editFocusPopup) {\n\t\t$tw.popup.triggerPopup({\n\t\t\tdomNode: this.domNodes[0],\n\t\t\ttitle: this.editFocusPopup,\n\t\t\twiki: this.wiki,\n\t\t\tforce: true\n\t\t});\n\t}\n\treturn true;\n};\n\nEditTextWidget.prototype.saveChanges = function(text) {\n\tvar editInfo = this.getEditInfo();\n\tif(text !== editInfo.value) {\n\t\teditInfo.update(text);\n\t}\n};\n\nexports[\"edit-text\"] = EditTextWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/edit-text.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/edit.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/edit.js\ntype: application/javascript\nmodule-type: widget\n\nEdit widget is a meta-widget chooses the appropriate actual editting widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EditWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEditWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEditWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n// Mappings from content type to editor type are stored in tiddlers with this prefix\nvar EDITOR_MAPPING_PREFIX = \"$:/config/EditorTypeMappings/\";\n\n/*\nCompute the internal state of the widget\n*/\nEditWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.editTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.editField = this.getAttribute(\"field\",\"text\");\n\tthis.editIndex = this.getAttribute(\"index\");\n\tthis.editClass = this.getAttribute(\"class\");\n\tthis.editPlaceholder = this.getAttribute(\"placeholder\");\n\t// Choose the appropriate edit widget\n\tthis.editorType = this.getEditorType();\n\t// Make the child widgets\n\tthis.makeChildWidgets([{\n\t\ttype: \"edit-\" + this.editorType,\n\t\tattributes: {\n\t\t\ttiddler: {type: \"string\", value: this.editTitle},\n\t\t\tfield: {type: \"string\", value: this.editField},\n\t\t\tindex: {type: \"string\", value: this.editIndex},\n\t\t\t\"class\": {type: \"string\", value: this.editClass},\n\t\t\t\"placeholder\": {type: \"string\", value: this.editPlaceholder}\n\t\t}\n\t}]);\n};\n\nEditWidget.prototype.getEditorType = function() {\n\t// Get the content type of the thing we're editing\n\tvar type;\n\tif(this.editField === \"text\") {\n\t\tvar tiddler = this.wiki.getTiddler(this.editTitle);\n\t\tif(tiddler) {\n\t\t\ttype = tiddler.fields.type;\n\t\t}\n\t}\n\ttype = type || \"text/vnd.tiddlywiki\";\n\tvar editorType = this.wiki.getTiddlerText(EDITOR_MAPPING_PREFIX + type);\n\tif(!editorType) {\n\t\tvar typeInfo = $tw.config.contentTypeInfo[type];\n\t\tif(typeInfo && typeInfo.encoding === \"base64\") {\n\t\t\teditorType = \"binary\";\n\t\t} else {\n\t\t\teditorType = \"text\";\n\t\t}\n\t}\n\treturn editorType;\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nEditWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\t// Refresh if an attribute has changed, or the type associated with the target tiddler has changed\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.index || (changedTiddlers[this.editTitle] && this.getEditorType() !== this.editorType)) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.edit = EditWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/edit.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/element.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/element.js\ntype: application/javascript\nmodule-type: widget\n\nElement widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ElementWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nElementWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nElementWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Neuter blacklisted elements\n\tvar tag = this.parseTreeNode.tag;\n\tif($tw.config.htmlUnsafeElements.indexOf(tag) !== -1) {\n\t\ttag = \"safe-\" + tag;\n\t}\n\tvar domNode = this.document.createElementNS(this.namespace,tag);\n\tthis.assignAttributes(domNode,{excludeEventAttributes: true});\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nElementWidget.prototype.execute = function() {\n\t// Select the namespace for the tag\n\tvar tagNamespaces = {\n\t\t\tsvg: \"http://www.w3.org/2000/svg\",\n\t\t\tmath: \"http://www.w3.org/1998/Math/MathML\",\n\t\t\tbody: \"http://www.w3.org/1999/xhtml\"\n\t\t};\n\tthis.namespace = tagNamespaces[this.parseTreeNode.tag];\n\tif(this.namespace) {\n\t\tthis.setVariable(\"namespace\",this.namespace);\n\t} else {\n\t\tthis.namespace = this.getVariable(\"namespace\",{defaultValue: \"http://www.w3.org/1999/xhtml\"});\n\t}\n\t// Make the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nElementWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes(),\n\t\thasChangedAttributes = $tw.utils.count(changedAttributes) > 0;\n\tif(hasChangedAttributes) {\n\t\t// Update our attributes\n\t\tthis.assignAttributes(this.domNodes[0],{excludeEventAttributes: true});\n\t}\n\treturn this.refreshChildren(changedTiddlers) || hasChangedAttributes;\n};\n\nexports.element = ElementWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/element.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/encrypt.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/encrypt.js\ntype: application/javascript\nmodule-type: widget\n\nEncrypt widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EncryptWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEncryptWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEncryptWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar textNode = this.document.createTextNode(this.encryptedText);\n\tparent.insertBefore(textNode,nextSibling);\n\tthis.domNodes.push(textNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nEncryptWidget.prototype.execute = function() {\n\t// Get parameters from our attributes\n\tthis.filter = this.getAttribute(\"filter\",\"[!is[system]]\");\n\t// Encrypt the filtered tiddlers\n\tvar tiddlers = this.wiki.filterTiddlers(this.filter),\n\t\tjson = {},\n\t\tself = this;\n\t$tw.utils.each(tiddlers,function(title) {\n\t\tvar tiddler = self.wiki.getTiddler(title),\n\t\t\tjsonTiddler = {};\n\t\tfor(var f in tiddler.fields) {\n\t\t\tjsonTiddler[f] = tiddler.getFieldString(f);\n\t\t}\n\t\tjson[title] = jsonTiddler;\n\t});\n\tthis.encryptedText = $tw.utils.htmlEncode($tw.crypto.encrypt(JSON.stringify(json)));\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nEncryptWidget.prototype.refresh = function(changedTiddlers) {\n\t// We don't need to worry about refreshing because the encrypt widget isn't for interactive use\n\treturn false;\n};\n\nexports.encrypt = EncryptWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/encrypt.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/entity.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/entity.js\ntype: application/javascript\nmodule-type: widget\n\nHTML entity widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EntityWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEntityWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEntityWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.execute();\n\tvar textNode = this.document.createTextNode($tw.utils.entityDecode(this.parseTreeNode.entity));\n\tparent.insertBefore(textNode,nextSibling);\n\tthis.domNodes.push(textNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nEntityWidget.prototype.execute = function() {\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nEntityWidget.prototype.refresh = function(changedTiddlers) {\n\treturn false;\n};\n\nexports.entity = EntityWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/entity.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/fieldmangler.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/fieldmangler.js\ntype: application/javascript\nmodule-type: widget\n\nField mangler widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar FieldManglerWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n\tthis.addEventListeners([\n\t\t{type: \"tm-remove-field\", handler: \"handleRemoveFieldEvent\"},\n\t\t{type: \"tm-add-field\", handler: \"handleAddFieldEvent\"},\n\t\t{type: \"tm-remove-tag\", handler: \"handleRemoveTagEvent\"},\n\t\t{type: \"tm-add-tag\", handler: \"handleAddTagEvent\"}\n\t]);\n};\n\n/*\nInherit from the base widget class\n*/\nFieldManglerWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nFieldManglerWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nFieldManglerWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.mangleTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nFieldManglerWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nFieldManglerWidget.prototype.handleRemoveFieldEvent = function(event) {\n\tvar tiddler = this.wiki.getTiddler(this.mangleTitle),\n\t\tdeletion = {};\n\tdeletion[event.param] = undefined;\n\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,deletion));\n\treturn true;\n};\n\nFieldManglerWidget.prototype.handleAddFieldEvent = function(event) {\n\tvar tiddler = this.wiki.getTiddler(this.mangleTitle),\n\t\taddition = this.wiki.getModificationFields(),\n\t\thadInvalidFieldName = false,\n\t\taddField = function(name,value) {\n\t\t\tvar trimmedName = name.toLowerCase().trim();\n\t\t\tif(!$tw.utils.isValidFieldName(trimmedName)) {\n\t\t\t\tif(!hadInvalidFieldName) {\n\t\t\t\t\talert($tw.language.getString(\n\t\t\t\t\t\t\"InvalidFieldName\",\n\t\t\t\t\t\t{variables:\n\t\t\t\t\t\t\t{fieldName: trimmedName}\n\t\t\t\t\t\t}\n\t\t\t\t\t));\n\t\t\t\t\thadInvalidFieldName = true;\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tif(!value && tiddler) {\n\t\t\t\t\tvalue = tiddler.fields[trimmedName];\n\t\t\t\t}\n\t\t\t\taddition[trimmedName] = value || \"\";\n\t\t\t}\n\t\t\treturn;\n\t\t};\n\taddition.title = this.mangleTitle;\n\tif(typeof event.param === \"string\") {\n\t\taddField(event.param,\"\");\n\t}\n\tif(typeof event.paramObject === \"object\") {\n\t\tfor(var name in event.paramObject) {\n\t\t\taddField(name,event.paramObject[name]);\n\t\t}\n\t}\n\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,addition));\n\treturn true;\n};\n\nFieldManglerWidget.prototype.handleRemoveTagEvent = function(event) {\n\tvar tiddler = this.wiki.getTiddler(this.mangleTitle);\n\tif(tiddler && tiddler.fields.tags) {\n\t\tvar p = tiddler.fields.tags.indexOf(event.param);\n\t\tif(p !== -1) {\n\t\t\tvar modification = this.wiki.getModificationFields();\n\t\t\tmodification.tags = (tiddler.fields.tags || []).slice(0);\n\t\t\tmodification.tags.splice(p,1);\n\t\t\tif(modification.tags.length === 0) {\n\t\t\t\tmodification.tags = undefined;\n\t\t\t}\n\t\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,modification));\n\t\t}\n\t}\n\treturn true;\n};\n\nFieldManglerWidget.prototype.handleAddTagEvent = function(event) {\n\tvar tiddler = this.wiki.getTiddler(this.mangleTitle);\n\tif(tiddler && typeof event.param === \"string\") {\n\t\tvar tag = event.param.trim();\n\t\tif(tag !== \"\") {\n\t\t\tvar modification = this.wiki.getModificationFields();\n\t\t\tmodification.tags = (tiddler.fields.tags || []).slice(0);\n\t\t\t$tw.utils.pushTop(modification.tags,tag);\n\t\t\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,modification));\t\t\t\n\t\t}\n\t}\n\treturn true;\n};\n\nexports.fieldmangler = FieldManglerWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/fieldmangler.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/fields.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/fields.js\ntype: application/javascript\nmodule-type: widget\n\nFields widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar FieldsWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nFieldsWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nFieldsWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar textNode = this.document.createTextNode(this.text);\n\tparent.insertBefore(textNode,nextSibling);\n\tthis.domNodes.push(textNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nFieldsWidget.prototype.execute = function() {\n\t// Get parameters from our attributes\n\tthis.tiddlerTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.template = this.getAttribute(\"template\");\n\tthis.exclude = this.getAttribute(\"exclude\");\n\tthis.stripTitlePrefix = this.getAttribute(\"stripTitlePrefix\",\"no\") === \"yes\";\n\t// Get the value to display\n\tvar tiddler = this.wiki.getTiddler(this.tiddlerTitle);\n\t// Get the exclusion list\n\tvar exclude;\n\tif(this.exclude) {\n\t\texclude = this.exclude.split(\" \");\n\t} else {\n\t\texclude = [\"text\"]; \n\t}\n\t// Compose the template\n\tvar text = [];\n\tif(this.template && tiddler) {\n\t\tvar fields = [];\n\t\tfor(var fieldName in tiddler.fields) {\n\t\t\tif(exclude.indexOf(fieldName) === -1) {\n\t\t\t\tfields.push(fieldName);\n\t\t\t}\n\t\t}\n\t\tfields.sort();\n\t\tfor(var f=0; f<fields.length; f++) {\n\t\t\tfieldName = fields[f];\n\t\t\tif(exclude.indexOf(fieldName) === -1) {\n\t\t\t\tvar row = this.template,\n\t\t\t\t\tvalue = tiddler.getFieldString(fieldName);\n\t\t\t\tif(this.stripTitlePrefix && fieldName === \"title\") {\n\t\t\t\t\tvar reStrip = /^\\{[^\\}]+\\}(.+)/mg,\n\t\t\t\t\t\treMatch = reStrip.exec(value);\n\t\t\t\t\tif(reMatch) {\n\t\t\t\t\t\tvalue = reMatch[1];\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\trow = row.replace(\"$name$\",fieldName);\n\t\t\t\trow = row.replace(\"$value$\",value);\n\t\t\t\trow = row.replace(\"$encoded_value$\",$tw.utils.htmlEncode(value));\n\t\t\t\ttext.push(row);\n\t\t\t}\n\t\t}\n\t}\n\tthis.text = text.join(\"\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nFieldsWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler || changedAttributes.template || changedAttributes.exclude || changedAttributes.stripTitlePrefix || changedTiddlers[this.tiddlerTitle]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\t\n\t}\n};\n\nexports.fields = FieldsWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/fields.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/image.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/image.js\ntype: application/javascript\nmodule-type: widget\n\nThe image widget displays an image referenced with an external URI or with a local tiddler title.\n\n```\n<$image src=\"TiddlerTitle\" width=\"320\" height=\"400\" class=\"classnames\">\n```\n\nThe image source can be the title of an existing tiddler or the URL of an external image.\n\nExternal images always generate an HTML `<img>` tag.\n\nTiddlers that have a _canonical_uri field generate an HTML `<img>` tag with the src attribute containing the URI.\n\nTiddlers that contain image data generate an HTML `<img>` tag with the src attribute containing a base64 representation of the image.\n\nTiddlers that contain wikitext could be rendered to a DIV of the usual size of a tiddler, and then transformed to the size requested.\n\nThe width and height attributes are interpreted as a number of pixels, and do not need to include the \"px\" suffix.\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ImageWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nImageWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nImageWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create element\n\t// Determine what type of image it is\n\tvar tag = \"img\", src = \"\",\n\t\ttiddler = this.wiki.getTiddler(this.imageSource);\n\tif(!tiddler) {\n\t\t// The source isn't the title of a tiddler, so we'll assume it's a URL\n\t\tsrc = this.imageSource;\n\t} else {\n\t\t// Check if it is an image tiddler\n\t\tif(this.wiki.isImageTiddler(this.imageSource)) {\n\t\t\tvar type = tiddler.fields.type,\n\t\t\t\ttext = tiddler.fields.text,\n\t\t\t\t_canonical_uri = tiddler.fields._canonical_uri;\n\t\t\t// If the tiddler has body text then it doesn't need to be lazily loaded\n\t\t\tif(text) {\n\t\t\t\t// Render the appropriate element for the image type\n\t\t\t\tswitch(type) {\n\t\t\t\t\tcase \"application/pdf\":\n\t\t\t\t\t\ttag = \"embed\";\n\t\t\t\t\t\tsrc = \"data:application/pdf;base64,\" + text;\n\t\t\t\t\t\tbreak;\n\t\t\t\t\tcase \"image/svg+xml\":\n\t\t\t\t\t\tsrc = \"data:image/svg+xml,\" + encodeURIComponent(text);\n\t\t\t\t\t\tbreak;\n\t\t\t\t\tdefault:\n\t\t\t\t\t\tsrc = \"data:\" + type + \";base64,\" + text;\n\t\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t} else if(_canonical_uri) {\n\t\t\t\tswitch(type) {\n\t\t\t\t\tcase \"application/pdf\":\n\t\t\t\t\t\ttag = \"embed\";\n\t\t\t\t\t\tsrc = _canonical_uri;\n\t\t\t\t\t\tbreak;\n\t\t\t\t\tcase \"image/svg+xml\":\n\t\t\t\t\t\tsrc = _canonical_uri;\n\t\t\t\t\t\tbreak;\n\t\t\t\t\tdefault:\n\t\t\t\t\t\tsrc = _canonical_uri;\n\t\t\t\t\t\tbreak;\n\t\t\t\t}\t\n\t\t\t}\n\t\t}\n\t}\n\t// Create the element and assign the attributes\n\tvar domNode = this.document.createElement(tag);\n\tdomNode.setAttribute(\"src\",src);\n\tif(this.imageClass) {\n\t\tdomNode.setAttribute(\"class\",this.imageClass);\t\t\n\t}\n\tif(this.imageWidth) {\n\t\tdomNode.setAttribute(\"width\",this.imageWidth);\n\t}\n\tif(this.imageHeight) {\n\t\tdomNode.setAttribute(\"height\",this.imageHeight);\n\t}\n\tif(this.imageTooltip) {\n\t\tdomNode.setAttribute(\"title\",this.imageTooltip);\t\t\n\t}\n\tif(this.imageAlt) {\n\t\tdomNode.setAttribute(\"alt\",this.imageAlt);\t\t\n\t}\n\t// Insert element\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.domNodes.push(domNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nImageWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.imageSource = this.getAttribute(\"source\");\n\tthis.imageWidth = this.getAttribute(\"width\");\n\tthis.imageHeight = this.getAttribute(\"height\");\n\tthis.imageClass = this.getAttribute(\"class\");\n\tthis.imageTooltip = this.getAttribute(\"tooltip\");\n\tthis.imageAlt = this.getAttribute(\"alt\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nImageWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.source || changedAttributes.width || changedAttributes.height || changedAttributes[\"class\"] || changedAttributes.tooltip || changedTiddlers[this.imageSource]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\t\t\n\t}\n};\n\nexports.image = ImageWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/image.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/importvariables.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/importvariables.js\ntype: application/javascript\nmodule-type: widget\n\nImport variable definitions from other tiddlers\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ImportVariablesWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nImportVariablesWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nImportVariablesWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nImportVariablesWidget.prototype.execute = function(tiddlerList) {\n\tvar self = this;\n\t// Get our parameters\n\tthis.filter = this.getAttribute(\"filter\");\n\t// Compute the filter\n\tthis.tiddlerList = tiddlerList || this.wiki.filterTiddlers(this.filter,this);\n\t// Accumulate the <$set> widgets from each tiddler\n\tvar widgetStackStart,widgetStackEnd;\n\tfunction addWidgetNode(widgetNode) {\n\t\tif(widgetNode) {\n\t\t\tif(!widgetStackStart && !widgetStackEnd) {\n\t\t\t\twidgetStackStart = widgetNode;\n\t\t\t\twidgetStackEnd = widgetNode;\n\t\t\t} else {\n\t\t\t\twidgetStackEnd.children = [widgetNode];\n\t\t\t\twidgetStackEnd = widgetNode;\n\t\t\t}\n\t\t}\n\t}\n\t$tw.utils.each(this.tiddlerList,function(title) {\n\t\tvar parser = self.wiki.parseTiddler(title);\n\t\tif(parser) {\n\t\t\tvar parseTreeNode = parser.tree[0];\n\t\t\twhile(parseTreeNode && parseTreeNode.type === \"set\") {\n\t\t\t\taddWidgetNode({\n\t\t\t\t\ttype: \"set\",\n\t\t\t\t\tattributes: parseTreeNode.attributes,\n\t\t\t\t\tparams: parseTreeNode.params\n\t\t\t\t});\n\t\t\t\tparseTreeNode = parseTreeNode.children[0];\n\t\t\t}\n\t\t} \n\t});\n\t// Add our own children to the end of the pile\n\tvar parseTreeNodes;\n\tif(widgetStackStart && widgetStackEnd) {\n\t\tparseTreeNodes = [widgetStackStart];\n\t\twidgetStackEnd.children = this.parseTreeNode.children;\n\t} else {\n\t\tparseTreeNodes = this.parseTreeNode.children;\n\t}\n\t// Construct the child widgets\n\tthis.makeChildWidgets(parseTreeNodes);\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nImportVariablesWidget.prototype.refresh = function(changedTiddlers) {\n\t// Recompute our attributes and the filter list\n\tvar changedAttributes = this.computeAttributes(),\n\t\ttiddlerList = this.wiki.filterTiddlers(this.getAttribute(\"filter\"),this);\n\t// Refresh if the filter has changed, or the list of tiddlers has changed, or any of the tiddlers in the list has changed\n\tfunction haveListedTiddlersChanged() {\n\t\tvar changed = false;\n\t\ttiddlerList.forEach(function(title) {\n\t\t\tif(changedTiddlers[title]) {\n\t\t\t\tchanged = true;\n\t\t\t}\n\t\t});\n\t\treturn changed;\n\t}\n\tif(changedAttributes.filter || !$tw.utils.isArrayEqual(this.tiddlerList,tiddlerList) || haveListedTiddlersChanged()) {\n\t\t// Compute the filter\n\t\tthis.removeChildDomNodes();\n\t\tthis.execute(tiddlerList);\n\t\tthis.renderChildren(this.parentDomNode,this.findNextSiblingDomNode());\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.importvariables = ImportVariablesWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/importvariables.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/keyboard.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/keyboard.js\ntype: application/javascript\nmodule-type: widget\n\nKeyboard shortcut widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar KeyboardWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nKeyboardWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nKeyboardWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Remember parent\n\tthis.parentDomNode = parent;\n\t// Compute attributes and execute state\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create element\n\tvar domNode = this.document.createElement(\"div\");\n\t// Assign classes\n\tvar classes = (this[\"class\"] || \"\").split(\" \");\n\tclasses.push(\"tc-keyboard\");\n\tdomNode.className = classes.join(\" \");\n\t// Add a keyboard event handler\n\tdomNode.addEventListener(\"keydown\",function (event) {\n\t\tif($tw.utils.checkKeyDescriptor(event,self.keyInfo)) {\n\t\t\tself.dispatchMessage(event);\n\t\t\tevent.preventDefault();\n\t\t\tevent.stopPropagation();\n\t\t\treturn true;\n\t\t}\n\t\treturn false;\n\t},false);\n\t// Insert element\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\nKeyboardWidget.prototype.dispatchMessage = function(event) {\n\tthis.dispatchEvent({type: this.message, param: this.param, tiddlerTitle: this.getVariable(\"currentTiddler\")});\n};\n\n/*\nCompute the internal state of the widget\n*/\nKeyboardWidget.prototype.execute = function() {\n\t// Get attributes\n\tthis.message = this.getAttribute(\"message\");\n\tthis.param = this.getAttribute(\"param\");\n\tthis.key = this.getAttribute(\"key\");\n\tthis.keyInfo = $tw.utils.parseKeyDescriptor(this.key);\n\tthis[\"class\"] = this.getAttribute(\"class\");\n\t// Make child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nKeyboardWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.message || changedAttributes.param || changedAttributes.key || changedAttributes[\"class\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.keyboard = KeyboardWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/keyboard.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/link.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/link.js\ntype: application/javascript\nmodule-type: widget\n\nLink widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar LinkWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nLinkWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nLinkWidget.prototype.render = function(parent,nextSibling) {\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Get the value of the tv-wikilinks configuration macro\n\tvar wikiLinksMacro = this.getVariable(\"tv-wikilinks\"),\n\t\tuseWikiLinks = wikiLinksMacro ? (wikiLinksMacro.trim() !== \"no\") : true;\n\t// Render the link if required\n\tif(useWikiLinks) {\n\t\tthis.renderLink(parent,nextSibling);\n\t} else {\n\t\t// Just insert the link text\n\t\tvar domNode = this.document.createElement(\"span\");\n\t\tparent.insertBefore(domNode,nextSibling);\n\t\tthis.renderChildren(domNode,null);\n\t\tthis.domNodes.push(domNode);\n\t}\n};\n\n/*\nRender this widget into the DOM\n*/\nLinkWidget.prototype.renderLink = function(parent,nextSibling) {\n\tvar self = this;\n\t// Create our element\n\tvar domNode = this.document.createElement(\"a\");\n\t// Assign classes\n\tvar classes = [];\n\tif(this.linkClasses) {\n\t\tclasses.push(this.linkClasses);\n\t}\n\tclasses.push(\"tc-tiddlylink\");\n\tif(this.isShadow) {\n\t\tclasses.push(\"tc-tiddlylink-shadow\");\n\t}\n\tif(this.isMissing && !this.isShadow) {\n\t\tclasses.push(\"tc-tiddlylink-missing\");\n\t} else {\n\t\tif(!this.isMissing) {\n\t\t\tclasses.push(\"tc-tiddlylink-resolves\");\n\t\t}\n\t}\n\tdomNode.setAttribute(\"class\",classes.join(\" \"));\n\t// Set an href\n\tvar wikiLinkTemplateMacro = this.getVariable(\"tv-wikilink-template\"),\n\t\twikiLinkTemplate = wikiLinkTemplateMacro ? wikiLinkTemplateMacro.trim() : \"#$uri_encoded$\",\n\t\twikiLinkText = wikiLinkTemplate.replace(\"$uri_encoded$\",encodeURIComponent(this.to));\n\twikiLinkText = wikiLinkText.replace(\"$uri_doubleencoded$\",encodeURIComponent(encodeURIComponent(this.to)));\n\tdomNode.setAttribute(\"href\",wikiLinkText);\n\t// Set the tooltip\n\t// HACK: Performance issues with re-parsing the tooltip prevent us defaulting the tooltip to \"<$transclude field='tooltip'><$transclude field='title'/></$transclude>\"\n\tvar tooltipWikiText = this.tooltip || this.getVariable(\"tv-wikilink-tooltip\");\n\tif(tooltipWikiText) {\n\t\tvar tooltipText = this.wiki.renderText(\"text/plain\",\"text/vnd.tiddlywiki\",tooltipWikiText,{\n\t\t\t\tparseAsInline: true,\n\t\t\t\tvariables: {\n\t\t\t\t\tcurrentTiddler: this.to\n\t\t\t\t},\n\t\t\t\tparentWidget: this\n\t\t\t});\n\t\tdomNode.setAttribute(\"title\",tooltipText);\n\t}\n\tif(this[\"aria-label\"]) {\n\t\tdomNode.setAttribute(\"aria-label\",this[\"aria-label\"]);\n\t}\n\t// Add a click event handler\n\t$tw.utils.addEventListeners(domNode,[\n\t\t{name: \"click\", handlerObject: this, handlerMethod: \"handleClickEvent\"},\n\t\t{name: \"dragstart\", handlerObject: this, handlerMethod: \"handleDragStartEvent\"},\n\t\t{name: \"dragend\", handlerObject: this, handlerMethod: \"handleDragEndEvent\"}\n\t]);\n\t// Insert the link into the DOM and render any children\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\nLinkWidget.prototype.handleClickEvent = function (event) {\n\t// Send the click on it's way as a navigate event\n\tvar bounds = this.domNodes[0].getBoundingClientRect();\n\tthis.dispatchEvent({\n\t\ttype: \"tm-navigate\",\n\t\tnavigateTo: this.to,\n\t\tnavigateFromTitle: this.getVariable(\"storyTiddler\"),\n\t\tnavigateFromNode: this,\n\t\tnavigateFromClientRect: { top: bounds.top, left: bounds.left, width: bounds.width, right: bounds.right, bottom: bounds.bottom, height: bounds.height\n\t\t},\n\t\tnavigateSuppressNavigation: event.metaKey || event.ctrlKey || (event.button === 1)\n\t});\n\tevent.preventDefault();\n\tevent.stopPropagation();\n\treturn false;\n};\n\nLinkWidget.prototype.handleDragStartEvent = function(event) {\n\tif(event.target === this.domNodes[0]) {\n\t\tif(this.to) {\n\t\t\t// Set the dragging class on the element being dragged\n\t\t\t$tw.utils.addClass(event.target,\"tc-tiddlylink-dragging\");\n\t\t\t// Create the drag image elements\n\t\t\tthis.dragImage = this.document.createElement(\"div\");\n\t\t\tthis.dragImage.className = \"tc-tiddler-dragger\";\n\t\t\tvar inner = this.document.createElement(\"div\");\n\t\t\tinner.className = \"tc-tiddler-dragger-inner\";\n\t\t\tinner.appendChild(this.document.createTextNode(this.to));\n\t\t\tthis.dragImage.appendChild(inner);\n\t\t\tthis.document.body.appendChild(this.dragImage);\n\t\t\t// Astoundingly, we need to cover the dragger up: http://www.kryogenix.org/code/browser/custom-drag-image.html\n\t\t\tvar cover = this.document.createElement(\"div\");\n\t\t\tcover.className = \"tc-tiddler-dragger-cover\";\n\t\t\tcover.style.left = (inner.offsetLeft - 16) + \"px\";\n\t\t\tcover.style.top = (inner.offsetTop - 16) + \"px\";\n\t\t\tcover.style.width = (inner.offsetWidth + 32) + \"px\";\n\t\t\tcover.style.height = (inner.offsetHeight + 32) + \"px\";\n\t\t\tthis.dragImage.appendChild(cover);\n\t\t\t// Set the data transfer properties\n\t\t\tvar dataTransfer = event.dataTransfer;\n\t\t\t// First the image\n\t\t\tdataTransfer.effectAllowed = \"copy\";\n\t\t\tif(dataTransfer.setDragImage) {\n\t\t\t\tdataTransfer.setDragImage(this.dragImage.firstChild,-16,-16);\n\t\t\t}\n\t\t\t// Then the data\n\t\t\tdataTransfer.clearData();\n\t\t\tvar jsonData = this.wiki.getTiddlerAsJson(this.to),\n\t\t\t\ttextData = this.wiki.getTiddlerText(this.to,\"\"),\n\t\t\t\ttitle = (new RegExp(\"^\" + $tw.config.textPrimitives.wikiLink + \"$\",\"mg\")).exec(this.to) ? this.to : \"[[\" + this.to + \"]]\";\n\t\t\t// IE doesn't like these content types\n\t\t\tif(!$tw.browser.isIE) {\n\t\t\t\tdataTransfer.setData(\"text/vnd.tiddler\",jsonData);\n\t\t\t\tdataTransfer.setData(\"text/plain\",title);\n\t\t\t\tdataTransfer.setData(\"text/x-moz-url\",\"data:text/vnd.tiddler,\" + encodeURI(jsonData));\n\t\t\t}\n\t\t\tdataTransfer.setData(\"URL\",\"data:text/vnd.tiddler,\" + encodeURI(jsonData));\n\t\t\tdataTransfer.setData(\"Text\",title);\n\t\t\tevent.stopPropagation();\n\t\t} else {\n\t\t\tevent.preventDefault();\n\t\t}\n\t}\n};\n\nLinkWidget.prototype.handleDragEndEvent = function(event) {\n\tif(event.target === this.domNodes[0]) {\n\t\t// Remove the dragging class on the element being dragged\n\t\t$tw.utils.removeClass(event.target,\"tc-tiddlylink-dragging\");\n\t\t// Delete the drag image element\n\t\tif(this.dragImage) {\n\t\t\tthis.dragImage.parentNode.removeChild(this.dragImage);\n\t\t}\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nLinkWidget.prototype.execute = function() {\n\t// Get the target tiddler title\n\tthis.to = this.getAttribute(\"to\",this.getVariable(\"currentTiddler\"));\n\t// Get the link title and aria label\n\tthis.tooltip = this.getAttribute(\"tooltip\");\n\tthis[\"aria-label\"] = this.getAttribute(\"aria-label\");\n\t// Get the link classes\n\tthis.linkClasses = this.getAttribute(\"class\");\n\t// Determine the link characteristics\n\tthis.isMissing = !this.wiki.tiddlerExists(this.to);\n\tthis.isShadow = this.wiki.isShadowTiddler(this.to);\n\t// Make the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nLinkWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.to || changedTiddlers[this.to] || changedAttributes[\"aria-label\"] || changedAttributes.tooltip) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.link = LinkWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/link.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/linkcatcher.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/linkcatcher.js\ntype: application/javascript\nmodule-type: widget\n\nLinkcatcher widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar LinkCatcherWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n\tthis.addEventListeners([\n\t\t{type: \"tm-navigate\", handler: \"handleNavigateEvent\"}\n\t]);\n};\n\n/*\nInherit from the base widget class\n*/\nLinkCatcherWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nLinkCatcherWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nLinkCatcherWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.catchTo = this.getAttribute(\"to\");\n\tthis.catchMessage = this.getAttribute(\"message\");\n\tthis.catchSet = this.getAttribute(\"set\");\n\tthis.catchSetTo = this.getAttribute(\"setTo\");\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nLinkCatcherWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.to || changedAttributes.message || changedAttributes.set || changedAttributes.setTo) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\n/*\nHandle a tm-navigate event\n*/\nLinkCatcherWidget.prototype.handleNavigateEvent = function(event) {\n\tif(this.catchTo) {\n\t\tthis.wiki.setTextReference(this.catchTo,event.navigateTo,this.getVariable(\"currentTiddler\"));\n\t}\n\tif(this.catchMessage && this.parentWidget) {\n\t\tthis.parentWidget.dispatchEvent({\n\t\t\ttype: this.catchMessage,\n\t\t\tparam: event.navigateTo,\n\t\t\tnavigateTo: event.navigateTo\n\t\t});\n\t}\n\tif(this.catchSet) {\n\t\tvar tiddler = this.wiki.getTiddler(this.catchSet);\n\t\tthis.wiki.addTiddler(new $tw.Tiddler(tiddler,{title: this.catchSet, text: this.catchSetTo}));\n\t}\n\treturn false;\n};\n\nexports.linkcatcher = LinkCatcherWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/linkcatcher.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/list.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/list.js\ntype: application/javascript\nmodule-type: widget\n\nList and list item widgets\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\n/*\nThe list widget creates list element sub-widgets that reach back into the list widget for their configuration\n*/\n\nvar ListWidget = function(parseTreeNode,options) {\n\t// Initialise the storyviews if they've not been done already\n\tif(!this.storyViews) {\n\t\tListWidget.prototype.storyViews = {};\n\t\t$tw.modules.applyMethods(\"storyview\",this.storyViews);\n\t}\n\t// Main initialisation inherited from widget.js\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nListWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nListWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n\t// Construct the storyview\n\tvar StoryView = this.storyViews[this.storyViewName];\n\tif(StoryView && !this.document.isTiddlyWikiFakeDom) {\n\t\tthis.storyview = new StoryView(this);\n\t} else {\n\t\tthis.storyview = null;\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nListWidget.prototype.execute = function() {\n\t// Get our attributes\n\tthis.template = this.getAttribute(\"template\");\n\tthis.editTemplate = this.getAttribute(\"editTemplate\");\n\tthis.variableName = this.getAttribute(\"variable\",\"currentTiddler\");\n\tthis.storyViewName = this.getAttribute(\"storyview\");\n\tthis.historyTitle = this.getAttribute(\"history\");\n\t// Compose the list elements\n\tthis.list = this.getTiddlerList();\n\tvar members = [],\n\t\tself = this;\n\t// Check for an empty list\n\tif(this.list.length === 0) {\n\t\tmembers = this.getEmptyMessage();\n\t} else {\n\t\t$tw.utils.each(this.list,function(title,index) {\n\t\t\tmembers.push(self.makeItemTemplate(title));\n\t\t});\n\t}\n\t// Construct the child widgets\n\tthis.makeChildWidgets(members);\n\t// Clear the last history\n\tthis.history = [];\n};\n\nListWidget.prototype.getTiddlerList = function() {\n\tvar defaultFilter = \"[!is[system]sort[title]]\";\n\treturn this.wiki.filterTiddlers(this.getAttribute(\"filter\",defaultFilter),this);\n};\n\nListWidget.prototype.getEmptyMessage = function() {\n\tvar emptyMessage = this.getAttribute(\"emptyMessage\",\"\"),\n\t\tparser = this.wiki.parseText(\"text/vnd.tiddlywiki\",emptyMessage,{parseAsInline: true});\n\tif(parser) {\n\t\treturn parser.tree;\n\t} else {\n\t\treturn [];\n\t}\n};\n\n/*\nCompose the template for a list item\n*/\nListWidget.prototype.makeItemTemplate = function(title) {\n\t// Check if the tiddler is a draft\n\tvar tiddler = this.wiki.getTiddler(title),\n\t\tisDraft = tiddler && tiddler.hasField(\"draft.of\"),\n\t\ttemplate = this.template,\n\t\ttemplateTree;\n\tif(isDraft && this.editTemplate) {\n\t\ttemplate = this.editTemplate;\n\t}\n\t// Compose the transclusion of the template\n\tif(template) {\n\t\ttemplateTree = [{type: \"transclude\", attributes: {tiddler: {type: \"string\", value: template}}}];\n\t} else {\n\t\tif(this.parseTreeNode.children && this.parseTreeNode.children.length > 0) {\n\t\t\ttemplateTree = this.parseTreeNode.children;\n\t\t} else {\n\t\t\t// Default template is a link to the title\n\t\t\ttemplateTree = [{type: \"element\", tag: this.parseTreeNode.isBlock ? \"div\" : \"span\", children: [{type: \"link\", attributes: {to: {type: \"string\", value: title}}, children: [\n\t\t\t\t\t{type: \"text\", text: title}\n\t\t\t]}]}];\n\t\t}\n\t}\n\t// Return the list item\n\treturn {type: \"listitem\", itemTitle: title, variableName: this.variableName, children: templateTree};\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nListWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\t// Completely refresh if any of our attributes have changed\n\tif(changedAttributes.filter || changedAttributes.template || changedAttributes.editTemplate || changedAttributes.emptyMessage || changedAttributes.storyview || changedAttributes.history) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\t// Handle any changes to the list\n\t\tvar hasChanged = this.handleListChanges(changedTiddlers);\n\t\t// Handle any changes to the history stack\n\t\tif(this.historyTitle && changedTiddlers[this.historyTitle]) {\n\t\t\tthis.handleHistoryChanges();\n\t\t}\n\t\treturn hasChanged;\n\t}\n};\n\n/*\nHandle any changes to the history list\n*/\nListWidget.prototype.handleHistoryChanges = function() {\n\t// Get the history data\n\tvar newHistory = this.wiki.getTiddlerData(this.historyTitle,[]);\n\t// Ignore any entries of the history that match the previous history\n\tvar entry = 0;\n\twhile(entry < newHistory.length && entry < this.history.length && newHistory[entry].title === this.history[entry].title) {\n\t\tentry++;\n\t}\n\t// Navigate forwards to each of the new tiddlers\n\twhile(entry < newHistory.length) {\n\t\tif(this.storyview && this.storyview.navigateTo) {\n\t\t\tthis.storyview.navigateTo(newHistory[entry]);\n\t\t}\n\t\tentry++;\n\t}\n\t// Update the history\n\tthis.history = newHistory;\n};\n\n/*\nProcess any changes to the list\n*/\nListWidget.prototype.handleListChanges = function(changedTiddlers) {\n\t// Get the new list\n\tvar prevList = this.list;\n\tthis.list = this.getTiddlerList();\n\t// Check for an empty list\n\tif(this.list.length === 0) {\n\t\t// Check if it was empty before\n\t\tif(prevList.length === 0) {\n\t\t\t// If so, just refresh the empty message\n\t\t\treturn this.refreshChildren(changedTiddlers);\n\t\t} else {\n\t\t\t// Replace the previous content with the empty message\n\t\t\tfor(t=this.children.length-1; t>=0; t--) {\n\t\t\t\tthis.removeListItem(t);\n\t\t\t}\n\t\t\tvar nextSibling = this.findNextSiblingDomNode();\n\t\t\tthis.makeChildWidgets(this.getEmptyMessage());\n\t\t\tthis.renderChildren(this.parentDomNode,nextSibling);\n\t\t\treturn true;\n\t\t}\n\t} else {\n\t\t// If the list was empty then we need to remove the empty message\n\t\tif(prevList.length === 0) {\n\t\t\tthis.removeChildDomNodes();\n\t\t\tthis.children = [];\n\t\t}\n\t\t// Cycle through the list, inserting and removing list items as needed\n\t\tvar hasRefreshed = false;\n\t\tfor(var t=0; t<this.list.length; t++) {\n\t\t\tvar index = this.findListItem(t,this.list[t]);\n\t\t\tif(index === undefined) {\n\t\t\t\t// The list item must be inserted\n\t\t\t\tthis.insertListItem(t,this.list[t]);\n\t\t\t\thasRefreshed = true;\n\t\t\t} else {\n\t\t\t\t// There are intervening list items that must be removed\n\t\t\t\tfor(var n=index-1; n>=t; n--) {\n\t\t\t\t\tthis.removeListItem(n);\n\t\t\t\t\thasRefreshed = true;\n\t\t\t\t}\n\t\t\t\t// Refresh the item we're reusing\n\t\t\t\tvar refreshed = this.children[t].refresh(changedTiddlers);\n\t\t\t\thasRefreshed = hasRefreshed || refreshed;\n\t\t\t}\n\t\t}\n\t\t// Remove any left over items\n\t\tfor(t=this.children.length-1; t>=this.list.length; t--) {\n\t\t\tthis.removeListItem(t);\n\t\t\thasRefreshed = true;\n\t\t}\n\t\treturn hasRefreshed;\n\t}\n};\n\n/*\nFind the list item with a given title, starting from a specified position\n*/\nListWidget.prototype.findListItem = function(startIndex,title) {\n\twhile(startIndex < this.children.length) {\n\t\tif(this.children[startIndex].parseTreeNode.itemTitle === title) {\n\t\t\treturn startIndex;\n\t\t}\n\t\tstartIndex++;\n\t}\n\treturn undefined;\n};\n\n/*\nInsert a new list item at the specified index\n*/\nListWidget.prototype.insertListItem = function(index,title) {\n\t// Create, insert and render the new child widgets\n\tvar widget = this.makeChildWidget(this.makeItemTemplate(title));\n\twidget.parentDomNode = this.parentDomNode; // Hack to enable findNextSiblingDomNode() to work\n\tthis.children.splice(index,0,widget);\n\tvar nextSibling = widget.findNextSiblingDomNode();\n\twidget.render(this.parentDomNode,nextSibling);\n\t// Animate the insertion if required\n\tif(this.storyview && this.storyview.insert) {\n\t\tthis.storyview.insert(widget);\n\t}\n\treturn true;\n};\n\n/*\nRemove the specified list item\n*/\nListWidget.prototype.removeListItem = function(index) {\n\tvar widget = this.children[index];\n\t// Animate the removal if required\n\tif(this.storyview && this.storyview.remove) {\n\t\tthis.storyview.remove(widget);\n\t} else {\n\t\twidget.removeChildDomNodes();\n\t}\n\t// Remove the child widget\n\tthis.children.splice(index,1);\n};\n\nexports.list = ListWidget;\n\nvar ListItemWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nListItemWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nListItemWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nListItemWidget.prototype.execute = function() {\n\t// Set the current list item title\n\tthis.setVariable(this.parseTreeNode.variableName,this.parseTreeNode.itemTitle);\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nListItemWidget.prototype.refresh = function(changedTiddlers) {\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.listitem = ListItemWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/list.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/macrocall.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/macrocall.js\ntype: application/javascript\nmodule-type: widget\n\nMacrocall widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar MacroCallWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nMacroCallWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nMacroCallWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nMacroCallWidget.prototype.execute = function() {\n\t// Get the parse type if specified\n\tthis.parseType = this.getAttribute(\"$type\",\"text/vnd.tiddlywiki\");\n\tthis.renderOutput = this.getAttribute(\"$output\",\"text/html\");\n\t// Merge together the parameters specified in the parse tree with the specified attributes\n\tvar params = this.parseTreeNode.params ? this.parseTreeNode.params.slice(0) : [];\n\t$tw.utils.each(this.attributes,function(attribute,name) {\n\t\tif(name.charAt(0) !== \"$\") {\n\t\t\tparams.push({name: name, value: attribute});\t\t\t\n\t\t}\n\t});\n\t// Get the macro value\n\tvar text = this.getVariable(this.parseTreeNode.name || this.getAttribute(\"$name\"),{params: params}),\n\t\tparseTreeNodes;\n\t// Are we rendering to HTML?\n\tif(this.renderOutput === \"text/html\") {\n\t\t// If so we'll return the parsed macro\n\t\tvar parser = this.wiki.parseText(this.parseType,text,\n\t\t\t\t\t\t\t{parseAsInline: !this.parseTreeNode.isBlock});\n\t\tparseTreeNodes = parser ? parser.tree : [];\n\t} else {\n\t\t// Otherwise, we'll render the text\n\t\tvar plainText = this.wiki.renderText(\"text/plain\",this.parseType,text,{parentWidget: this});\n\t\tparseTreeNodes = [{type: \"text\", text: plainText}];\n\t}\n\t// Construct the child widgets\n\tthis.makeChildWidgets(parseTreeNodes);\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nMacroCallWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif($tw.utils.count(changedAttributes) > 0) {\n\t\t// Rerender ourselves\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\n\t}\n};\n\nexports.macrocall = MacroCallWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/macrocall.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/navigator.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/navigator.js\ntype: application/javascript\nmodule-type: widget\n\nNavigator widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar IMPORT_TITLE = \"$:/Import\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar NavigatorWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n\tthis.addEventListeners([\n\t\t{type: \"tm-navigate\", handler: \"handleNavigateEvent\"},\n\t\t{type: \"tm-edit-tiddler\", handler: \"handleEditTiddlerEvent\"},\n\t\t{type: \"tm-delete-tiddler\", handler: \"handleDeleteTiddlerEvent\"},\n\t\t{type: \"tm-save-tiddler\", handler: \"handleSaveTiddlerEvent\"},\n\t\t{type: \"tm-cancel-tiddler\", handler: \"handleCancelTiddlerEvent\"},\n\t\t{type: \"tm-close-tiddler\", handler: \"handleCloseTiddlerEvent\"},\n\t\t{type: \"tm-close-all-tiddlers\", handler: \"handleCloseAllTiddlersEvent\"},\n\t\t{type: \"tm-close-other-tiddlers\", handler: \"handleCloseOtherTiddlersEvent\"},\n\t\t{type: \"tm-new-tiddler\", handler: \"handleNewTiddlerEvent\"},\n\t\t{type: \"tm-import-tiddlers\", handler: \"handleImportTiddlersEvent\"},\n\t\t{type: \"tm-perform-import\", handler: \"handlePerformImportEvent\"}\n\t]);\n};\n\n/*\nInherit from the base widget class\n*/\nNavigatorWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nNavigatorWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nNavigatorWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.storyTitle = this.getAttribute(\"story\");\n\tthis.historyTitle = this.getAttribute(\"history\");\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nNavigatorWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.story || changedAttributes.history) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nNavigatorWidget.prototype.getStoryList = function() {\n\treturn this.storyTitle ? this.wiki.getTiddlerList(this.storyTitle) : null;\n};\n\nNavigatorWidget.prototype.saveStoryList = function(storyList) {\n\tvar storyTiddler = this.wiki.getTiddler(this.storyTitle);\n\tthis.wiki.addTiddler(new $tw.Tiddler(\n\t\t{title: this.storyTitle},\n\t\tstoryTiddler,\n\t\t{list: storyList}\n\t));\n};\n\nNavigatorWidget.prototype.findTitleInStory = function(storyList,title,defaultIndex) {\n\tvar p = storyList.indexOf(title);\n\treturn p === -1 ? defaultIndex : p;\n};\n\nNavigatorWidget.prototype.removeTitleFromStory = function(storyList,title) {\n\tvar p = storyList.indexOf(title);\n\twhile(p !== -1) {\n\t\tstoryList.splice(p,1);\n\t\tp = storyList.indexOf(title);\n\t}\n};\n\nNavigatorWidget.prototype.replaceFirstTitleInStory = function(storyList,oldTitle,newTitle) {\n\tvar pos = storyList.indexOf(oldTitle);\n\tif(pos !== -1) {\n\t\tstoryList[pos] = newTitle;\n\t\tdo {\n\t\t\tpos = storyList.indexOf(oldTitle,pos + 1);\n\t\t\tif(pos !== -1) {\n\t\t\t\tstoryList.splice(pos,1);\n\t\t\t}\n\t\t} while(pos !== -1);\n\t} else {\n\t\tstoryList.splice(0,0,newTitle);\n\t}\n};\n\nNavigatorWidget.prototype.addToStory = function(title,fromTitle) {\n\tvar storyList = this.getStoryList();\n\tif(storyList) {\n\t\t// See if the tiddler is already there\n\t\tvar slot = this.findTitleInStory(storyList,title,-1);\n\t\t// If not we need to add it\n\t\tif(slot === -1) {\n\t\t\t// First we try to find the position of the story element we navigated from\n\t\t\tslot = this.findTitleInStory(storyList,fromTitle,-1) + 1;\n\t\t\t// Add the tiddler\n\t\t\tstoryList.splice(slot,0,title);\n\t\t\t// Save the story\n\t\t\tthis.saveStoryList(storyList);\n\t\t}\n\t}\n};\n\n/*\nAdd a new record to the top of the history stack\ntitle: a title string or an array of title strings\nfromPageRect: page coordinates of the origin of the navigation\n*/\nNavigatorWidget.prototype.addToHistory = function(title,fromPageRect) {\n\tthis.wiki.addToHistory(title,fromPageRect,this.historyTitle);\n};\n\n/*\nHandle a tm-navigate event\n*/\nNavigatorWidget.prototype.handleNavigateEvent = function(event) {\n\tthis.addToStory(event.navigateTo,event.navigateFromTitle);\n\tif(!event.navigateSuppressNavigation) {\n\t\tthis.addToHistory(event.navigateTo,event.navigateFromClientRect);\n\t}\n\treturn false;\n};\n\n// Close a specified tiddler\nNavigatorWidget.prototype.handleCloseTiddlerEvent = function(event) {\n\tvar title = event.param || event.tiddlerTitle,\n\t\tstoryList = this.getStoryList();\n\t// Look for tiddlers with this title to close\n\tthis.removeTitleFromStory(storyList,title);\n\tthis.saveStoryList(storyList);\n\treturn false;\n};\n\n// Close all tiddlers\nNavigatorWidget.prototype.handleCloseAllTiddlersEvent = function(event) {\n\tthis.saveStoryList([]);\n\treturn false;\n};\n\n// Close other tiddlers\nNavigatorWidget.prototype.handleCloseOtherTiddlersEvent = function(event) {\n\tvar title = event.param || event.tiddlerTitle;\n\tthis.saveStoryList([title]);\n\treturn false;\n};\n\n// Place a tiddler in edit mode\nNavigatorWidget.prototype.handleEditTiddlerEvent = function(event) {\n\tvar self = this;\n\tfunction isUnmodifiedShadow(title) {\n\t\treturn self.wiki.isShadowTiddler(title) && !self.wiki.tiddlerExists(title);\n\t}\n\tfunction confirmEditShadow(title) {\n\t\treturn confirm($tw.language.getString(\n\t\t\t\"ConfirmEditShadowTiddler\",\n\t\t\t{variables:\n\t\t\t\t{title: title}\n\t\t\t}\n\t\t));\n\t}\n\tvar title = event.param || event.tiddlerTitle;\n\tif(isUnmodifiedShadow(title) && !confirmEditShadow(title)) {\n\t\treturn false;\n\t}\n\t// Replace the specified tiddler with a draft in edit mode\n\tvar draftTiddler = this.makeDraftTiddler(title),\n\t\tdraftTitle = draftTiddler.fields.title,\n\t\tstoryList = this.getStoryList();\n\tthis.removeTitleFromStory(storyList,draftTitle);\n\tthis.replaceFirstTitleInStory(storyList,title,draftTitle);\n\tthis.addToHistory(draftTitle,event.navigateFromClientRect);\n\tthis.saveStoryList(storyList);\n\treturn false;\n};\n\n// Delete a tiddler\nNavigatorWidget.prototype.handleDeleteTiddlerEvent = function(event) {\n\t// Get the tiddler we're deleting\n\tvar title = event.param || event.tiddlerTitle,\n\t\ttiddler = this.wiki.getTiddler(title),\n\t\tstoryList = this.getStoryList(),\n\t\toriginalTitle = tiddler.fields[\"draft.of\"],\n\t\tconfirmationTitle;\n\t// Check if the tiddler we're deleting is in draft mode\n\tif(originalTitle) {\n\t\t// If so, we'll prompt for confirmation referencing the original tiddler\n\t\tconfirmationTitle = originalTitle;\n\t} else {\n\t\t// If not a draft, then prompt for confirmation referencing the specified tiddler\n\t\tconfirmationTitle = title;\n\t}\n\t// Seek confirmation\n\tif((this.wiki.getTiddler(originalTitle) || (tiddler.fields.text || \"\") !== \"\") && !confirm($tw.language.getString(\n\t\t\t\t\"ConfirmDeleteTiddler\",\n\t\t\t\t{variables:\n\t\t\t\t\t{title: confirmationTitle}\n\t\t\t\t}\n\t\t\t))) {\n\t\treturn false;\n\t}\n\t// Delete the original tiddler\n\tif(originalTitle) {\n\t\tthis.wiki.deleteTiddler(originalTitle);\n\t\tthis.removeTitleFromStory(storyList,originalTitle);\n\t}\n\t// Delete this tiddler\n\tthis.wiki.deleteTiddler(title);\n\t// Remove the closed tiddler from the story\n\tthis.removeTitleFromStory(storyList,title);\n\tthis.saveStoryList(storyList);\n\t// Trigger an autosave\n\t$tw.rootWidget.dispatchEvent({type: \"tm-auto-save-wiki\"});\n\treturn false;\n};\n\n/*\nCreate/reuse the draft tiddler for a given title\n*/\nNavigatorWidget.prototype.makeDraftTiddler = function(targetTitle) {\n\t// See if there is already a draft tiddler for this tiddler\n\tvar draftTitle = this.wiki.findDraft(targetTitle);\n\tif(draftTitle) {\n\t\treturn this.wiki.getTiddler(draftTitle);\n\t}\n\t// Get the current value of the tiddler we're editing\n\tvar tiddler = this.wiki.getTiddler(targetTitle);\n\t// Save the initial value of the draft tiddler\n\tdraftTitle = this.generateDraftTitle(targetTitle);\n\tvar draftTiddler = new $tw.Tiddler(\n\t\t\ttiddler,\n\t\t\t{\n\t\t\t\ttitle: draftTitle,\n\t\t\t\t\"draft.title\": targetTitle,\n\t\t\t\t\"draft.of\": targetTitle\n\t\t\t},\n\t\t\tthis.wiki.getModificationFields()\n\t\t);\n\tthis.wiki.addTiddler(draftTiddler);\n\treturn draftTiddler;\n};\n\n/*\nGenerate a title for the draft of a given tiddler\n*/\nNavigatorWidget.prototype.generateDraftTitle = function(title) {\n\tvar c = 0,\n\t\tdraftTitle;\n\tdo {\n\t\tdraftTitle = \"Draft \" + (c ? (c + 1) + \" \" : \"\") + \"of '\" + title + \"'\";\n\t\tc++;\n\t} while(this.wiki.tiddlerExists(draftTitle));\n\treturn draftTitle;\n};\n\n// Take a tiddler out of edit mode, saving the changes\nNavigatorWidget.prototype.handleSaveTiddlerEvent = function(event) {\n\tvar title = event.param || event.tiddlerTitle,\n\t\ttiddler = this.wiki.getTiddler(title),\n\t\tstoryList = this.getStoryList();\n\t// Replace the original tiddler with the draft\n\tif(tiddler) {\n\t\tvar draftTitle = (tiddler.fields[\"draft.title\"] || \"\").trim(),\n\t\t\tdraftOf = (tiddler.fields[\"draft.of\"] || \"\").trim();\n\t\tif(draftTitle) {\n\t\t\tvar isRename = draftOf !== draftTitle,\n\t\t\t\tisConfirmed = true;\n\t\t\tif(isRename && this.wiki.tiddlerExists(draftTitle)) {\n\t\t\t\tisConfirmed = confirm($tw.language.getString(\n\t\t\t\t\t\"ConfirmOverwriteTiddler\",\n\t\t\t\t\t{variables:\n\t\t\t\t\t\t{title: draftTitle}\n\t\t\t\t\t}\n\t\t\t\t));\n\t\t\t}\n\t\t\tif(isConfirmed) {\n\t\t\t\t// Save the draft tiddler as the real tiddler\n\t\t\t\tthis.wiki.addTiddler(new $tw.Tiddler(this.wiki.getCreationFields(),tiddler,{\n\t\t\t\t\ttitle: draftTitle,\n\t\t\t\t\t\"draft.title\": undefined,\n\t\t\t\t\t\"draft.of\": undefined\n\t\t\t\t},this.wiki.getModificationFields()));\n\t\t\t\t// Remove the draft tiddler\n\t\t\t\tthis.wiki.deleteTiddler(title);\n\t\t\t\t// Remove the original tiddler if we're renaming it\n\t\t\t\tif(isRename) {\n\t\t\t\t\tthis.wiki.deleteTiddler(draftOf);\n\t\t\t\t}\n\t\t\t\t// Replace the draft in the story with the original\n\t\t\t\tthis.replaceFirstTitleInStory(storyList,title,draftTitle);\n\t\t\t\tthis.addToHistory(draftTitle,event.navigateFromClientRect);\n\t\t\t\tif(draftTitle !== this.storyTitle) {\n\t\t\t\t\tthis.saveStoryList(storyList);\n\t\t\t\t}\n\t\t\t\t// Trigger an autosave\n\t\t\t\t$tw.rootWidget.dispatchEvent({type: \"tm-auto-save-wiki\"});\n\t\t\t}\n\t\t}\n\t}\n\treturn false;\n};\n\n// Take a tiddler out of edit mode without saving the changes\nNavigatorWidget.prototype.handleCancelTiddlerEvent = function(event) {\n\t// Flip the specified tiddler from draft back to the original\n\tvar draftTitle = event.param || event.tiddlerTitle,\n\t\tdraftTiddler = this.wiki.getTiddler(draftTitle),\n\t\toriginalTitle = draftTiddler.fields[\"draft.of\"],\n\t\toriginalTiddler = this.wiki.getTiddler(originalTitle),\n\t\tstoryList = this.getStoryList();\n\tif(draftTiddler && originalTitle) {\n\t\t// Ask for confirmation if the tiddler text has changed\n\t\tvar isConfirmed = true;\n\t\tif(this.wiki.isDraftModified(draftTitle)) {\n\t\t\tisConfirmed = confirm($tw.language.getString(\n\t\t\t\t\"ConfirmCancelTiddler\",\n\t\t\t\t{variables:\n\t\t\t\t\t{title: draftTitle}\n\t\t\t\t}\n\t\t\t));\n\t\t}\n\t\t// Remove the draft tiddler\n\t\tif(isConfirmed) {\n\t\t\tthis.wiki.deleteTiddler(draftTitle);\n\t\t\tif(originalTiddler) {\n\t\t\t\tthis.replaceFirstTitleInStory(storyList,draftTitle,originalTitle);\n\t\t\t\tthis.addToHistory(originalTitle,event.navigateFromClientRect);\n\t\t\t} else {\n\t\t\t\tthis.removeTitleFromStory(storyList,draftTitle);\n\t\t\t}\n\t\t\tthis.saveStoryList(storyList);\n\t\t\t// Trigger an autosave\n\t\t\t$tw.rootWidget.dispatchEvent({type: \"tm-auto-save-wiki\"});\t\t\t\n\t\t}\n\t}\n\treturn false;\n};\n\n// Create a new draft tiddler\n// event.param can either be the title of a template tiddler, or a hashmap of fields.\n//\n// The title of the newly created tiddler follows these rules:\n// * If a hashmap was used and a title field was specified, use that title\n// * If a hashmap was used without a title field, use a default title, if necessary making it unique with a numeric suffix\n// * If a template tiddler was used, use the title of the template, if necessary making it unique with a numeric suffix\n//\n// If a draft of the target tiddler already exists then it is reused\nNavigatorWidget.prototype.handleNewTiddlerEvent = function(event) {\n\t// Get the story details\n\tvar storyList = this.getStoryList(),\n\t\ttemplateTiddler, additionalFields, title, draftTitle, existingTiddler;\n\t// Get the template tiddler (if any)\n\tif(typeof event.param === \"string\") {\n\t\t// Get the template tiddler\n\t\ttemplateTiddler = this.wiki.getTiddler(event.param);\n\t\t// Generate a new title\n\t\ttitle = this.wiki.generateNewTitle(event.param || $tw.language.getString(\"DefaultNewTiddlerTitle\"));\n\t}\n\t// Get the specified additional fields\n\tif(typeof event.paramObject === \"object\") {\n\t\tadditionalFields = event.paramObject;\n\t}\n\tif(typeof event.param === \"object\") { // Backwards compatibility with 5.1.3\n\t\tadditionalFields = event.param;\n\t}\n\tif(additionalFields && additionalFields.title) {\n\t\ttitle = additionalFields.title;\n\t}\n\t// Generate a title if we don't have one\n\ttitle = title || this.wiki.generateNewTitle($tw.language.getString(\"DefaultNewTiddlerTitle\"));\n\t// Find any existing draft for this tiddler\n\tdraftTitle = this.wiki.findDraft(title);\n\t// Pull in any existing tiddler\n\tif(draftTitle) {\n\t\texistingTiddler = this.wiki.getTiddler(draftTitle);\n\t} else {\n\t\tdraftTitle = this.generateDraftTitle(title);\n\t\texistingTiddler = this.wiki.getTiddler(title);\n\t}\n\t// Merge the tags\n\tvar mergedTags = [];\n\tif(existingTiddler && existingTiddler.fields.tags) {\n\t\t$tw.utils.pushTop(mergedTags,existingTiddler.fields.tags)\n\t}\n\tif(additionalFields && additionalFields.tags) {\n\t\t// Merge tags\n\t\tmergedTags = $tw.utils.pushTop(mergedTags,$tw.utils.parseStringArray(additionalFields.tags));\n\t}\n\tif(templateTiddler && templateTiddler.fields.tags) {\n\t\t// Merge tags\n\t\tmergedTags = $tw.utils.pushTop(mergedTags,templateTiddler.fields.tags);\n\t}\n\t// Save the draft tiddler\n\tvar draftTiddler = new $tw.Tiddler({\n\t\t\ttext: \"\",\n\t\t\t\"draft.title\": title\n\t\t},\n\t\ttemplateTiddler,\n\t\texistingTiddler,\n\t\tadditionalFields,\n\t\tthis.wiki.getCreationFields(),\n\t\t{\n\t\t\ttitle: draftTitle,\n\t\t\t\"draft.of\": title,\n\t\t\ttags: mergedTags\n\t\t},this.wiki.getModificationFields());\n\tthis.wiki.addTiddler(draftTiddler);\n\t// Update the story to insert the new draft at the top and remove any existing tiddler\n\tif(storyList.indexOf(draftTitle) === -1) {\n\t\tvar slot = storyList.indexOf(event.navigateFromTitle);\n\t\tstoryList.splice(slot + 1,0,draftTitle);\n\t}\n\tif(storyList.indexOf(title) !== -1) {\n\t\tstoryList.splice(storyList.indexOf(title),1);\t\t\n\t}\n\tthis.saveStoryList(storyList);\n\t// Add a new record to the top of the history stack\n\tthis.addToHistory(draftTitle);\n\treturn false;\n};\n\n// Import JSON tiddlers into a pending import tiddler\nNavigatorWidget.prototype.handleImportTiddlersEvent = function(event) {\n\tvar self = this;\n\t// Get the tiddlers\n\tvar tiddlers = [];\n\ttry {\n\t\ttiddlers = JSON.parse(event.param);\t\n\t} catch(e) {\n\t}\n\t// Get the current $:/Import tiddler\n\tvar importTiddler = this.wiki.getTiddler(IMPORT_TITLE),\n\t\timportData = this.wiki.getTiddlerData(IMPORT_TITLE,{}),\n\t\tnewFields = new Object({\n\t\t\ttitle: IMPORT_TITLE,\n\t\t\ttype: \"application/json\",\n\t\t\t\"plugin-type\": \"import\",\n\t\t\t\"status\": \"pending\"\n\t\t}),\n\t\tincomingTiddlers = [];\n\t// Process each tiddler\n\timportData.tiddlers = importData.tiddlers || {};\n\t$tw.utils.each(tiddlers,function(tiddlerFields) {\n\t\tvar title = tiddlerFields.title;\n\t\tif(title) {\n\t\t\tincomingTiddlers.push(title);\n\t\t\timportData.tiddlers[title] = tiddlerFields;\n\t\t}\n\t});\n\t// Give the active upgrader modules a chance to process the incoming tiddlers\n\tvar messages = this.wiki.invokeUpgraders(incomingTiddlers,importData.tiddlers);\n\t$tw.utils.each(messages,function(message,title) {\n\t\tnewFields[\"message-\" + title] = message;\n\t});\n\t// Deselect any suppressed tiddlers\n\t$tw.utils.each(importData.tiddlers,function(tiddler,title) {\n\t\tif($tw.utils.count(tiddler) === 0) {\n\t\t\tnewFields[\"selection-\" + title] = \"unchecked\";\n\t\t}\n\t});\n\t// Save the $:/Import tiddler\n\tnewFields.text = JSON.stringify(importData,null,$tw.config.preferences.jsonSpaces);\n\tthis.wiki.addTiddler(new $tw.Tiddler(importTiddler,newFields));\n\t// Update the story and history details\n\tif(this.getVariable(\"tv-auto-open-on-import\") !== \"no\") {\n\t\tvar storyList = this.getStoryList(),\n\t\t\thistory = [];\n\t\t// Add it to the story\n\t\tif(storyList.indexOf(IMPORT_TITLE) === -1) {\n\t\t\tstoryList.unshift(IMPORT_TITLE);\n\t\t}\n\t\t// And to history\n\t\thistory.push(IMPORT_TITLE);\n\t\t// Save the updated story and history\n\t\tthis.saveStoryList(storyList);\n\t\tthis.addToHistory(history);\t\t\n\t}\n\treturn false;\n};\n\n// \nNavigatorWidget.prototype.handlePerformImportEvent = function(event) {\n\tvar self = this,\n\t\timportTiddler = this.wiki.getTiddler(event.param),\n\t\timportData = this.wiki.getTiddlerData(event.param,{tiddlers: {}}),\n\t\timportReport = [];\n\t// Add the tiddlers to the store\n\timportReport.push(\"The following tiddlers were imported:\\n\");\n\t$tw.utils.each(importData.tiddlers,function(tiddlerFields) {\n\t\tvar title = tiddlerFields.title;\n\t\tif(title && importTiddler && importTiddler.fields[\"selection-\" + title] !== \"unchecked\") {\n\t\t\tself.wiki.addTiddler(new $tw.Tiddler(tiddlerFields));\n\t\t\timportReport.push(\"# [[\" + tiddlerFields.title + \"]]\");\n\t\t}\n\t});\n\t// Replace the $:/Import tiddler with an import report\n\tthis.wiki.addTiddler(new $tw.Tiddler({\n\t\ttitle: IMPORT_TITLE,\n\t\ttext: importReport.join(\"\\n\"),\n\t\t\"status\": \"complete\"\n\t}));\n\t// Navigate to the $:/Import tiddler\n\tthis.addToHistory([IMPORT_TITLE]);\n\t// Trigger an autosave\n\t$tw.rootWidget.dispatchEvent({type: \"tm-auto-save-wiki\"});\n};\n\nexports.navigator = NavigatorWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/navigator.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/password.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/password.js\ntype: application/javascript\nmodule-type: widget\n\nPassword widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar PasswordWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nPasswordWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nPasswordWidget.prototype.render = function(parent,nextSibling) {\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Get the current password\n\tvar password = $tw.browser ? $tw.utils.getPassword(this.passwordName) || \"\" : \"\";\n\t// Create our element\n\tvar domNode = this.document.createElement(\"input\");\n\tdomNode.setAttribute(\"type\",\"password\");\n\tdomNode.setAttribute(\"value\",password);\n\t// Add a click event handler\n\t$tw.utils.addEventListeners(domNode,[\n\t\t{name: \"change\", handlerObject: this, handlerMethod: \"handleChangeEvent\"}\n\t]);\n\t// Insert the label into the DOM and render any children\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tthis.domNodes.push(domNode);\n};\n\nPasswordWidget.prototype.handleChangeEvent = function(event) {\n\tvar password = this.domNodes[0].value;\n\treturn $tw.utils.savePassword(this.passwordName,password);\n};\n\n/*\nCompute the internal state of the widget\n*/\nPasswordWidget.prototype.execute = function() {\n\t// Get the parameters from the attributes\n\tthis.passwordName = this.getAttribute(\"name\",\"\");\n\t// Make the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nPasswordWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.name) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\n\t}\n};\n\nexports.password = PasswordWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/password.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/radio.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/radio.js\ntype: application/javascript\nmodule-type: widget\n\nRadio widget\n\nWill set a field to the selected value:\n\n```\n\t<$radio field=\"myfield\" value=\"check 1\">one</$radio>\n\t<$radio field=\"myfield\" value=\"check 2\">two</$radio>\n\t<$radio field=\"myfield\" value=\"check 3\">three</$radio>\n```\n\n|Parameter |Description |h\n|tiddler |Name of the tiddler in which the field should be set. Defaults to current tiddler |\n|field |The name of the field to be set |\n|value |The value to set |\n|class |Optional class name(s) |\n\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar RadioWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nRadioWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nRadioWidget.prototype.render = function(parent,nextSibling) {\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Create our elements\n\tthis.labelDomNode = this.document.createElement(\"label\");\n\tthis.labelDomNode.setAttribute(\"class\",this.radioClass);\n\tthis.inputDomNode = this.document.createElement(\"input\");\n\tthis.inputDomNode.setAttribute(\"type\",\"radio\");\n\tif(this.getValue() == this.radioValue) {\n\t\tthis.inputDomNode.setAttribute(\"checked\",\"true\");\n\t}\n\tthis.labelDomNode.appendChild(this.inputDomNode);\n\tthis.spanDomNode = this.document.createElement(\"span\");\n\tthis.labelDomNode.appendChild(this.spanDomNode);\n\t// Add a click event handler\n\t$tw.utils.addEventListeners(this.inputDomNode,[\n\t\t{name: \"change\", handlerObject: this, handlerMethod: \"handleChangeEvent\"}\n\t]);\n\t// Insert the label into the DOM and render any children\n\tparent.insertBefore(this.labelDomNode,nextSibling);\n\tthis.renderChildren(this.spanDomNode,null);\n\tthis.domNodes.push(this.labelDomNode);\n};\n\nRadioWidget.prototype.getValue = function() {\n\tvar tiddler = this.wiki.getTiddler(this.radioTitle);\n\treturn tiddler && tiddler.getFieldString(this.radioField);\n};\n\nRadioWidget.prototype.setValue = function() {\n\tif(this.radioField) {\n\t\tvar tiddler = this.wiki.getTiddler(this.radioTitle),\n\t\t\taddition = {};\n\t\taddition[this.radioField] = this.radioValue;\n\t\tthis.wiki.addTiddler(new $tw.Tiddler({title: this.radioTitle},tiddler,addition,this.wiki.getModificationFields()));\n\t}\n};\n\nRadioWidget.prototype.handleChangeEvent = function(event) {\n\tif(this.inputDomNode.checked) {\n\t\tthis.setValue();\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nRadioWidget.prototype.execute = function() {\n\t// Get the parameters from the attributes\n\tthis.radioTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.radioField = this.getAttribute(\"field\",\"text\");\n\tthis.radioValue = this.getAttribute(\"value\");\n\tthis.radioClass = this.getAttribute(\"class\",\"\");\n\tif(this.radioClass !== \"\") {\n\t\tthis.radioClass += \" \";\n\t}\n\tthis.radioClass += \"tc-radio\";\n\t// Make the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nRadioWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.value || changedAttributes[\"class\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\tvar refreshed = false;\n\t\tif(changedTiddlers[this.radioTitle]) {\n\t\t\tthis.inputDomNode.checked = this.getValue() === this.radioValue;\n\t\t\trefreshed = true;\n\t\t}\n\t\treturn this.refreshChildren(changedTiddlers) || refreshed;\n\t}\n};\n\nexports.radio = RadioWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/radio.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/raw.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/raw.js\ntype: application/javascript\nmodule-type: widget\n\nRaw widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar RawWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nRawWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nRawWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.execute();\n\tvar div = this.document.createElement(\"div\");\n\tdiv.innerHTML=this.parseTreeNode.html;\n\tparent.insertBefore(div,nextSibling);\n\tthis.domNodes.push(div);\t\n};\n\n/*\nCompute the internal state of the widget\n*/\nRawWidget.prototype.execute = function() {\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nRawWidget.prototype.refresh = function(changedTiddlers) {\n\treturn false;\n};\n\nexports.raw = RawWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/raw.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/reveal.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/reveal.js\ntype: application/javascript\nmodule-type: widget\n\nReveal widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar RevealWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nRevealWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nRevealWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar domNode = this.document.createElement(this.parseTreeNode.isBlock ? \"div\" : \"span\");\n\tvar classes = this[\"class\"].split(\" \") || [];\n\tclasses.push(\"tc-reveal\");\n\tdomNode.className = classes.join(\" \");\n\tparent.insertBefore(domNode,nextSibling);\n\tthis.renderChildren(domNode,null);\n\tif(!domNode.isTiddlyWikiFakeDom && this.type === \"popup\" && this.isOpen) {\n\t\tthis.positionPopup(domNode);\n\t\t$tw.utils.addClass(domNode,\"tc-popup\"); // Make sure that clicks don't dismiss popups within the revealed content\n\t}\n\tif(!this.isOpen) {\n\t\tdomNode.setAttribute(\"hidden\",\"true\");\n\t}\n\tthis.domNodes.push(domNode);\n};\n\nRevealWidget.prototype.positionPopup = function(domNode) {\n\tdomNode.style.position = \"absolute\";\n\tdomNode.style.zIndex = \"1000\";\n\tswitch(this.position) {\n\t\tcase \"left\":\n\t\t\tdomNode.style.left = (this.popup.left - domNode.offsetWidth) + \"px\";\n\t\t\tdomNode.style.top = this.popup.top + \"px\";\n\t\t\tbreak;\n\t\tcase \"above\":\n\t\t\tdomNode.style.left = this.popup.left + \"px\";\n\t\t\tdomNode.style.top = (this.popup.top - domNode.offsetHeight) + \"px\";\n\t\t\tbreak;\n\t\tcase \"aboveright\":\n\t\t\tdomNode.style.left = (this.popup.left + this.popup.width) + \"px\";\n\t\t\tdomNode.style.top = (this.popup.top + this.popup.height - domNode.offsetHeight) + \"px\";\n\t\t\tbreak;\n\t\tcase \"right\":\n\t\t\tdomNode.style.left = (this.popup.left + this.popup.width) + \"px\";\n\t\t\tdomNode.style.top = this.popup.top + \"px\";\n\t\t\tbreak;\n\t\tcase \"belowleft\":\n\t\t\tdomNode.style.left = (this.popup.left + this.popup.width - domNode.offsetWidth) + \"px\";\n\t\t\tdomNode.style.top = (this.popup.top + this.popup.height) + \"px\";\n\t\t\tbreak;\n\t\tdefault: // Below\n\t\t\tdomNode.style.left = this.popup.left + \"px\";\n\t\t\tdomNode.style.top = (this.popup.top + this.popup.height) + \"px\";\n\t\t\tbreak;\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nRevealWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.state = this.getAttribute(\"state\");\n\tthis.type = this.getAttribute(\"type\");\n\tthis.text = this.getAttribute(\"text\");\n\tthis.position = this.getAttribute(\"position\");\n\tthis[\"class\"] = this.getAttribute(\"class\",\"\");\n\tthis[\"default\"] = this.getAttribute(\"default\",\"\");\n\tthis.animate = this.getAttribute(\"animate\",\"no\");\n\tthis.retain = this.getAttribute(\"retain\",\"no\");\n\tthis.openAnimation = this.animate === \"no\" ? undefined : \"open\";\n\tthis.closeAnimation = this.animate === \"no\" ? undefined : \"close\";\n\t// Compute the title of the state tiddler and read it\n\tthis.stateTitle = this.state;\n\tthis.readState();\n\t// Construct the child widgets\n\tvar childNodes = this.isOpen ? this.parseTreeNode.children : [];\n\tthis.hasChildNodes = this.isOpen;\n\tthis.makeChildWidgets(childNodes);\n};\n\n/*\nRead the state tiddler\n*/\nRevealWidget.prototype.readState = function() {\n\t// Read the information from the state tiddler\n\tvar state = this.stateTitle ? this.wiki.getTextReference(this.stateTitle,this[\"default\"],this.getVariable(\"currentTiddler\")) : this[\"default\"];\n\tswitch(this.type) {\n\t\tcase \"popup\":\n\t\t\tthis.readPopupState(state);\n\t\t\tbreak;\n\t\tcase \"match\":\n\t\t\tthis.readMatchState(state);\n\t\t\tbreak;\n\t\tcase \"nomatch\":\n\t\t\tthis.readMatchState(state);\n\t\t\tthis.isOpen = !this.isOpen;\n\t\t\tbreak;\n\t}\n};\n\nRevealWidget.prototype.readMatchState = function(state) {\n\tthis.isOpen = state === this.text;\n};\n\nRevealWidget.prototype.readPopupState = function(state) {\n\tvar popupLocationRegExp = /^\\((-?[0-9\\.E]+),(-?[0-9\\.E]+),(-?[0-9\\.E]+),(-?[0-9\\.E]+)\\)$/,\n\t\tmatch = popupLocationRegExp.exec(state);\n\t// Check if the state matches the location regexp\n\tif(match) {\n\t\t// If so, we're open\n\t\tthis.isOpen = true;\n\t\t// Get the location\n\t\tthis.popup = {\n\t\t\tleft: parseFloat(match[1]),\n\t\t\ttop: parseFloat(match[2]),\n\t\t\twidth: parseFloat(match[3]),\n\t\t\theight: parseFloat(match[4])\n\t\t};\n\t} else {\n\t\t// If not, we're closed\n\t\tthis.isOpen = false;\n\t}\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nRevealWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.state || changedAttributes.type || changedAttributes.text || changedAttributes.position || changedAttributes[\"default\"] || changedAttributes.animate) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\tvar refreshed = false,\n\t\t\tcurrentlyOpen = this.isOpen;\n\t\tthis.readState();\n\t\tif(this.isOpen !== currentlyOpen) {\n\t\t\tif(this.retain === \"yes\") {\n\t\t\t\tthis.updateState();\n\t\t\t} else {\n\t\t\t\tthis.refreshSelf();\n\t\t\t\trefreshed = true;\n\t\t\t}\n\t\t}\n\t\treturn this.refreshChildren(changedTiddlers) || refreshed;\n\t}\n};\n\n/*\nCalled by refresh() to dynamically show or hide the content\n*/\nRevealWidget.prototype.updateState = function() {\n\t// Read the current state\n\tthis.readState();\n\t// Construct the child nodes if needed\n\tvar domNode = this.domNodes[0];\n\tif(this.isOpen && !this.hasChildNodes) {\n\t\tthis.hasChildNodes = true;\n\t\tthis.makeChildWidgets(this.parseTreeNode.children);\n\t\tthis.renderChildren(domNode,null);\n\t}\n\t// Animate our DOM node\n\tif(!domNode.isTiddlyWikiFakeDom && this.type === \"popup\" && this.isOpen) {\n\t\tthis.positionPopup(domNode);\n\t\t$tw.utils.addClass(domNode,\"tc-popup\"); // Make sure that clicks don't dismiss popups within the revealed content\n\n\t}\n\tif(this.isOpen) {\n\t\tdomNode.removeAttribute(\"hidden\");\n $tw.anim.perform(this.openAnimation,domNode);\n\t} else {\n\t\t$tw.anim.perform(this.closeAnimation,domNode,{callback: function() {\n\t\t\tdomNode.setAttribute(\"hidden\",\"true\");\n }});\n\t}\n};\n\nexports.reveal = RevealWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/reveal.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/scrollable.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/scrollable.js\ntype: application/javascript\nmodule-type: widget\n\nScrollable widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ScrollableWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n\tthis.scaleFactor = 1;\n\tthis.addEventListeners([\n\t\t{type: \"tm-scroll\", handler: \"handleScrollEvent\"}\n\t]);\n\tif($tw.browser) {\n\t\tthis.requestAnimationFrame = window.requestAnimationFrame ||\n\t\t\twindow.webkitRequestAnimationFrame ||\n\t\t\twindow.mozRequestAnimationFrame ||\n\t\t\tfunction(callback) {\n\t\t\t\treturn window.setTimeout(callback, 1000/60);\n\t\t\t};\n\t\tthis.cancelAnimationFrame = window.cancelAnimationFrame ||\n\t\t\twindow.webkitCancelAnimationFrame ||\n\t\t\twindow.webkitCancelRequestAnimationFrame ||\n\t\t\twindow.mozCancelAnimationFrame ||\n\t\t\twindow.mozCancelRequestAnimationFrame ||\n\t\t\tfunction(id) {\n\t\t\t\twindow.clearTimeout(id);\n\t\t\t};\n\t}\n};\n\n/*\nInherit from the base widget class\n*/\nScrollableWidget.prototype = new Widget();\n\nScrollableWidget.prototype.cancelScroll = function() {\n\tif(this.idRequestFrame) {\n\t\tthis.cancelAnimationFrame.call(window,this.idRequestFrame);\n\t\tthis.idRequestFrame = null;\n\t}\n};\n\n/*\nHandle a scroll event\n*/\nScrollableWidget.prototype.handleScrollEvent = function(event) {\n\t// Pass the scroll event through if our offsetsize is larger than our scrollsize\n\tif(this.outerDomNode.scrollWidth <= this.outerDomNode.offsetWidth && this.outerDomNode.scrollHeight <= this.outerDomNode.offsetHeight && this.fallthrough === \"yes\") {\n\t\treturn true;\n\t}\n\tthis.scrollIntoView(event.target);\n\treturn false; // Handled event\n};\n\n/*\nScroll an element into view\n*/\nScrollableWidget.prototype.scrollIntoView = function(element) {\n\tvar duration = $tw.utils.getAnimationDuration();\n\tthis.cancelScroll();\n\tthis.startTime = Date.now();\n\tvar scrollPosition = {\n\t\tx: this.outerDomNode.scrollLeft,\n\t\ty: this.outerDomNode.scrollTop\n\t};\n\t// Get the client bounds of the element and adjust by the scroll position\n\tvar scrollableBounds = this.outerDomNode.getBoundingClientRect(),\n\t\tclientTargetBounds = element.getBoundingClientRect(),\n\t\tbounds = {\n\t\t\tleft: clientTargetBounds.left + scrollPosition.x - scrollableBounds.left,\n\t\t\ttop: clientTargetBounds.top + scrollPosition.y - scrollableBounds.top,\n\t\t\twidth: clientTargetBounds.width,\n\t\t\theight: clientTargetBounds.height\n\t\t};\n\t// We'll consider the horizontal and vertical scroll directions separately via this function\n\tvar getEndPos = function(targetPos,targetSize,currentPos,currentSize) {\n\t\t\t// If the target is already visible then stay where we are\n\t\t\tif(targetPos >= currentPos && (targetPos + targetSize) <= (currentPos + currentSize)) {\n\t\t\t\treturn currentPos;\n\t\t\t// If the target is above/left of the current view, then scroll to its top/left\n\t\t\t} else if(targetPos <= currentPos) {\n\t\t\t\treturn targetPos;\n\t\t\t// If the target is smaller than the window and the scroll position is too far up, then scroll till the target is at the bottom of the window\n\t\t\t} else if(targetSize < currentSize && currentPos < (targetPos + targetSize - currentSize)) {\n\t\t\t\treturn targetPos + targetSize - currentSize;\n\t\t\t// If the target is big, then just scroll to the top\n\t\t\t} else if(currentPos < targetPos) {\n\t\t\t\treturn targetPos;\n\t\t\t// Otherwise, stay where we are\n\t\t\t} else {\n\t\t\t\treturn currentPos;\n\t\t\t}\n\t\t},\n\t\tendX = getEndPos(bounds.left,bounds.width,scrollPosition.x,this.outerDomNode.offsetWidth),\n\t\tendY = getEndPos(bounds.top,bounds.height,scrollPosition.y,this.outerDomNode.offsetHeight);\n\t// Only scroll if necessary\n\tif(endX !== scrollPosition.x || endY !== scrollPosition.y) {\n\t\tvar self = this,\n\t\t\tdrawFrame;\n\t\tdrawFrame = function () {\n\t\t\tvar t;\n\t\t\tif(duration <= 0) {\n\t\t\t\tt = 1;\n\t\t\t} else {\n\t\t\t\tt = ((Date.now()) - self.startTime) / duration;\t\n\t\t\t}\n\t\t\tif(t >= 1) {\n\t\t\t\tself.cancelScroll();\n\t\t\t\tt = 1;\n\t\t\t}\n\t\t\tt = $tw.utils.slowInSlowOut(t);\n\t\t\tself.outerDomNode.scrollLeft = scrollPosition.x + (endX - scrollPosition.x) * t;\n\t\t\tself.outerDomNode.scrollTop = scrollPosition.y + (endY - scrollPosition.y) * t;\n\t\t\tif(t < 1) {\n\t\t\t\tself.idRequestFrame = self.requestAnimationFrame.call(window,drawFrame);\n\t\t\t}\n\t\t};\n\t\tdrawFrame();\n\t}\n};\n\n/*\nRender this widget into the DOM\n*/\nScrollableWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Remember parent\n\tthis.parentDomNode = parent;\n\t// Compute attributes and execute state\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Create elements\n\tthis.outerDomNode = this.document.createElement(\"div\");\n\t$tw.utils.setStyle(this.outerDomNode,[\n\t\t{overflowY: \"auto\"},\n\t\t{overflowX: \"auto\"},\n\t\t{webkitOverflowScrolling: \"touch\"}\n\t]);\n\tthis.innerDomNode = this.document.createElement(\"div\");\n\tthis.outerDomNode.appendChild(this.innerDomNode);\n\t// Assign classes\n\tthis.outerDomNode.className = this[\"class\"] || \"\";\n\t// Insert element\n\tparent.insertBefore(this.outerDomNode,nextSibling);\n\tthis.renderChildren(this.innerDomNode,null);\n\tthis.domNodes.push(this.outerDomNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nScrollableWidget.prototype.execute = function() {\n\t// Get attributes\n\tthis.fallthrough = this.getAttribute(\"fallthrough\",\"yes\");\n\tthis[\"class\"] = this.getAttribute(\"class\");\n\t// Make child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nScrollableWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes[\"class\"]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t}\n\treturn this.refreshChildren(changedTiddlers);\n};\n\nexports.scrollable = ScrollableWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/scrollable.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/select.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/select.js\ntype: application/javascript\nmodule-type: widget\n\nSelect widget:\n\n```\n<$select tiddler=\"MyTiddler\" field=\"text\">\n<$list filter=\"[tag[chapter]]\">\n<option value=<<currentTiddler>>>\n<$view field=\"description\"/>\n</option>\n</$list>\n</$select>\n```\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar SelectWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nSelectWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nSelectWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n\tthis.setSelectValue();\n\t$tw.utils.addEventListeners(this.getSelectDomNode(),[\n\t\t{name: \"change\", handlerObject: this, handlerMethod: \"handleChangeEvent\"}\n\t]);\n};\n\n/*\nHandle a change event\n*/\nSelectWidget.prototype.handleChangeEvent = function(event) {\n\tvar value = this.getSelectDomNode().value;\n\tthis.wiki.setText(this.selectTitle,this.selectField,this.selectIndex,value);\n};\n\n/*\nIf necessary, set the value of the select element to the current value\n*/\nSelectWidget.prototype.setSelectValue = function() {\n\tvar value = this.selectDefault;\n\t// Get the value\n\tif(this.selectIndex) {\n\t\tvalue = this.wiki.extractTiddlerDataItem(this.selectTitle,this.selectIndex);\n\t} else {\n\t\tvar tiddler = this.wiki.getTiddler(this.selectTitle);\n\t\tif(tiddler) {\n\t\t\tif(this.selectField === \"text\") {\n\t\t\t\t// Calling getTiddlerText() triggers lazy loading of skinny tiddlers\n\t\t\t\tvalue = this.wiki.getTiddlerText(this.selectTitle);\n\t\t\t} else {\n\t\t\t\tif($tw.utils.hop(tiddler.fields,this.selectField)) {\n\t\t\t\t\tvalue = tiddler.getFieldString(this.selectField);\n\t\t\t\t}\n\t\t\t}\n\t\t} else {\n\t\t\tif(this.selectField === \"title\") {\n\t\t\t\tvalue = this.selectTitle;\n\t\t\t}\n\t\t}\n\t}\n\t// Assign it to the select element if it's different than the current value\n\tvar domNode = this.getSelectDomNode();\n\tif(domNode.value !== value) {\n\t\tdomNode.value = value;\n\t}\n};\n\n/*\nGet the DOM node of the select element\n*/\nSelectWidget.prototype.getSelectDomNode = function() {\n\treturn this.children[0].domNodes[0];\n};\n\n/*\nCompute the internal state of the widget\n*/\nSelectWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.selectTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.selectField = this.getAttribute(\"field\",\"text\");\n\tthis.selectIndex = this.getAttribute(\"index\");\n\tthis.selectClass = this.getAttribute(\"class\");\n\tthis.selectDefault = this.getAttribute(\"default\");\n\t// Make the child widgets\n\tvar selectNode = {\n\t\ttype: \"element\",\n\t\ttag: \"select\",\n\t\tchildren: this.parseTreeNode.children\n\t};\n\tif(this.selectClass) {\n\t\t$tw.utils.addAttributeToParseTreeNode(selectNode,\"class\",this.selectClass);\n\t}\n\tthis.makeChildWidgets([selectNode]);\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nSelectWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\t// If we're using a different tiddler/field/index then completely refresh ourselves\n\tif(changedAttributes.selectTitle || changedAttributes.selectField || changedAttributes.selectIndex) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t// If the target tiddler value has changed, just update setting and refresh the children\n\t} else {\n\t\tif(changedTiddlers[this.selectTitle]) {\n\t\t\tthis.setSelectValue();\n\t\t} \n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.select = SelectWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/select.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/set.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/set.js\ntype: application/javascript\nmodule-type: widget\n\nSet variable widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar SetWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nSetWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nSetWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nSetWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.setName = this.getAttribute(\"name\",\"currentTiddler\");\n\tthis.setFilter = this.getAttribute(\"filter\");\n\tthis.setValue = this.getAttribute(\"value\");\n\tthis.setEmptyValue = this.getAttribute(\"emptyValue\");\n\t// Set context variable\n\tvar value = this.setValue;\n\tif(this.setFilter) {\n\t\tvar results = this.wiki.filterTiddlers(this.setFilter,this);\n\t\tif(!this.setValue) {\n\t\t\tvalue = $tw.utils.stringifyList(results);\n\t\t}\n\t\tif(results.length === 0 && this.setEmptyValue !== undefined) {\n\t\t\tvalue = this.setEmptyValue;\n\t\t}\n\t}\n\tthis.setVariable(this.setName,value,this.parseTreeNode.params);\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nSetWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.name || changedAttributes.filter || changedAttributes.value || changedAttributes.emptyValue) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.setvariable = SetWidget;\nexports.set = SetWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/set.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/text.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/text.js\ntype: application/javascript\nmodule-type: widget\n\nText node widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar TextNodeWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nTextNodeWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nTextNodeWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tvar text = this.getAttribute(\"text\",this.parseTreeNode.text || \"\");\n\ttext = text.replace(/\\r/mg,\"\");\n\tvar textNode = this.document.createTextNode(text);\n\tparent.insertBefore(textNode,nextSibling);\n\tthis.domNodes.push(textNode);\n};\n\n/*\nCompute the internal state of the widget\n*/\nTextNodeWidget.prototype.execute = function() {\n\t// Nothing to do for a text node\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nTextNodeWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.text) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\t\n\t}\n};\n\nexports.text = TextNodeWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/text.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/tiddler.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/tiddler.js\ntype: application/javascript\nmodule-type: widget\n\nTiddler widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar TiddlerWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nTiddlerWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nTiddlerWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nTiddlerWidget.prototype.execute = function() {\n\tthis.tiddlerState = this.computeTiddlerState();\n\tthis.setVariable(\"currentTiddler\",this.tiddlerState.currentTiddler);\n\tthis.setVariable(\"missingTiddlerClass\",this.tiddlerState.missingTiddlerClass);\n\tthis.setVariable(\"shadowTiddlerClass\",this.tiddlerState.shadowTiddlerClass);\n\tthis.setVariable(\"systemTiddlerClass\",this.tiddlerState.systemTiddlerClass);\n\tthis.setVariable(\"tiddlerTagClasses\",this.tiddlerState.tiddlerTagClasses);\n\t// Construct the child widgets\n\tthis.makeChildWidgets();\n};\n\n/*\nCompute the tiddler state flags\n*/\nTiddlerWidget.prototype.computeTiddlerState = function() {\n\t// Get our parameters\n\tthis.tiddlerTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\t// Compute the state\n\tvar state = {\n\t\tcurrentTiddler: this.tiddlerTitle || \"\",\n\t\tmissingTiddlerClass: (this.wiki.tiddlerExists(this.tiddlerTitle) || this.wiki.isShadowTiddler(this.tiddlerTitle)) ? \"tc-tiddler-exists\" : \"tc-tiddler-missing\",\n\t\tshadowTiddlerClass: this.wiki.isShadowTiddler(this.tiddlerTitle) ? \"tc-tiddler-shadow\" : \"\",\n\t\tsystemTiddlerClass: this.wiki.isSystemTiddler(this.tiddlerTitle) ? \"tc-tiddler-system\" : \"\",\n\t\ttiddlerTagClasses: this.getTagClasses()\n\t};\n\t// Compute a simple hash to make it easier to detect changes\n\tstate.hash = state.currentTiddler + state.missingTiddlerClass + state.shadowTiddlerClass + state.systemTiddlerClass + state.tiddlerTagClasses;\n\treturn state;\n};\n\n/*\nCreate a string of CSS classes derived from the tags of the current tiddler\n*/\nTiddlerWidget.prototype.getTagClasses = function() {\n\tvar tiddler = this.wiki.getTiddler(this.tiddlerTitle);\n\tif(tiddler) {\n\t\tvar tags = [];\n\t\t$tw.utils.each(tiddler.fields.tags,function(tag) {\n\t\t\ttags.push(\"tc-tagged-\" + encodeURIComponent(tag));\n\t\t});\n\t\treturn tags.join(\" \");\n\t} else {\n\t\treturn \"\";\n\t}\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nTiddlerWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes(),\n\t\tnewTiddlerState = this.computeTiddlerState();\n\tif(changedAttributes.tiddler || newTiddlerState.hash !== this.tiddlerState.hash) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.tiddler = TiddlerWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/tiddler.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/transclude.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/transclude.js\ntype: application/javascript\nmodule-type: widget\n\nTransclude widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar TranscludeWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nTranscludeWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nTranscludeWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nTranscludeWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.transcludeTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.transcludeSubTiddler = this.getAttribute(\"subtiddler\");\n\tthis.transcludeField = this.getAttribute(\"field\");\n\tthis.transcludeIndex = this.getAttribute(\"index\");\n\tthis.transcludeMode = this.getAttribute(\"mode\");\n\t// Parse the text reference\n\tvar parseAsInline = !this.parseTreeNode.isBlock;\n\tif(this.transcludeMode === \"inline\") {\n\t\tparseAsInline = true;\n\t} else if(this.transcludeMode === \"block\") {\n\t\tparseAsInline = false;\n\t}\n\tvar parser = this.wiki.parseTextReference(\n\t\t\t\t\t\tthis.transcludeTitle,\n\t\t\t\t\t\tthis.transcludeField,\n\t\t\t\t\t\tthis.transcludeIndex,\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tparseAsInline: parseAsInline,\n\t\t\t\t\t\t\tsubTiddler: this.transcludeSubTiddler\n\t\t\t\t\t\t}),\n\t\tparseTreeNodes = parser ? parser.tree : this.parseTreeNode.children;\n\t// Set context variables for recursion detection\n\tvar recursionMarker = this.makeRecursionMarker();\n\tthis.setVariable(\"transclusion\",recursionMarker);\n\t// Check for recursion\n\tif(parser) {\n\t\tif(this.parentWidget && this.parentWidget.hasVariable(\"transclusion\",recursionMarker)) {\n\t\t\tparseTreeNodes = [{type: \"element\", tag: \"span\", attributes: {\n\t\t\t\t\"class\": {type: \"string\", value: \"tc-error\"}\n\t\t\t}, children: [\n\t\t\t\t{type: \"text\", text: \"Recursive transclusion error in transclude widget\"}\n\t\t\t]}];\n\t\t}\n\t}\n\t// Construct the child widgets\n\tthis.makeChildWidgets(parseTreeNodes);\n};\n\n/*\nCompose a string comprising the title, field and/or index to identify this transclusion for recursion detection\n*/\nTranscludeWidget.prototype.makeRecursionMarker = function() {\n\tvar output = [];\n\toutput.push(\"{\");\n\toutput.push(this.getVariable(\"currentTiddler\",{defaultValue: \"\"}));\n\toutput.push(\"|\");\n\toutput.push(this.transcludeTitle || \"\");\n\toutput.push(\"|\");\n\toutput.push(this.transcludeField || \"\");\n\toutput.push(\"|\");\n\toutput.push(this.transcludeIndex || \"\");\n\toutput.push(\"|\");\n\toutput.push(this.transcludeSubTiddler || \"\");\n\toutput.push(\"}\");\n\treturn output.join(\"\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nTranscludeWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.index || changedTiddlers[this.transcludeTitle]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn this.refreshChildren(changedTiddlers);\t\t\n\t}\n};\n\nexports.transclude = TranscludeWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/transclude.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/view.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/view.js\ntype: application/javascript\nmodule-type: widget\n\nView widget\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar ViewWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nViewWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nViewWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\tif(this.text) {\n\t\tvar textNode = this.document.createTextNode(this.text);\n\t\tparent.insertBefore(textNode,nextSibling);\n\t\tthis.domNodes.push(textNode);\n\t} else {\n\t\tthis.makeChildWidgets();\n\t\tthis.renderChildren(parent,nextSibling);\n\t}\n};\n\n/*\nCompute the internal state of the widget\n*/\nViewWidget.prototype.execute = function() {\n\t// Get parameters from our attributes\n\tthis.viewTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.viewSubtiddler = this.getAttribute(\"subtiddler\");\n\tthis.viewField = this.getAttribute(\"field\",\"text\");\n\tthis.viewIndex = this.getAttribute(\"index\");\n\tthis.viewFormat = this.getAttribute(\"format\",\"text\");\n\tthis.viewTemplate = this.getAttribute(\"template\",\"\");\n\tswitch(this.viewFormat) {\n\t\tcase \"htmlwikified\":\n\t\t\tthis.text = this.getValueAsHtmlWikified();\n\t\t\tbreak;\n\t\tcase \"htmlencoded\":\n\t\t\tthis.text = this.getValueAsHtmlEncoded();\n\t\t\tbreak;\n\t\tcase \"urlencoded\":\n\t\t\tthis.text = this.getValueAsUrlEncoded();\n\t\t\tbreak;\n\t\tcase \"doubleurlencoded\":\n\t\t\tthis.text = this.getValueAsDoubleUrlEncoded();\n\t\t\tbreak;\n\t\tcase \"date\":\n\t\t\tthis.text = this.getValueAsDate(this.viewTemplate);\n\t\t\tbreak;\n\t\tcase \"relativedate\":\n\t\t\tthis.text = this.getValueAsRelativeDate();\n\t\t\tbreak;\n\t\tcase \"stripcomments\":\n\t\t\tthis.text = this.getValueAsStrippedComments();\n\t\t\tbreak;\n\t\tcase \"jsencoded\":\n\t\t\tthis.text = this.getValueAsJsEncoded();\n\t\t\tbreak;\n\t\tdefault: // \"text\"\n\t\t\tthis.text = this.getValueAsText();\n\t\t\tbreak;\n\t}\n};\n\n/*\nThe various formatter functions are baked into this widget for the moment. Eventually they will be replaced by macro functions\n*/\n\n/*\nRetrieve the value of the widget. Options are:\nasString: Optionally return the value as a string\n*/\nViewWidget.prototype.getValue = function(options) {\n\toptions = options || {};\n\tvar value = options.asString ? \"\" : undefined;\n\tif(this.viewIndex) {\n\t\tvalue = this.wiki.extractTiddlerDataItem(this.viewTitle,this.viewIndex);\n\t} else {\n\t\tvar tiddler;\n\t\tif(this.viewSubtiddler) {\n\t\t\ttiddler = this.wiki.getSubTiddler(this.viewTitle,this.viewSubtiddler);\t\n\t\t} else {\n\t\t\ttiddler = this.wiki.getTiddler(this.viewTitle);\n\t\t}\n\t\tif(tiddler) {\n\t\t\tif(this.viewField === \"text\" && !this.viewSubtiddler) {\n\t\t\t\t// Calling getTiddlerText() triggers lazy loading of skinny tiddlers\n\t\t\t\tvalue = this.wiki.getTiddlerText(this.viewTitle);\n\t\t\t} else {\n\t\t\t\tif($tw.utils.hop(tiddler.fields,this.viewField)) {\n\t\t\t\t\tif(options.asString) {\n\t\t\t\t\t\tvalue = tiddler.getFieldString(this.viewField);\n\t\t\t\t\t} else {\n\t\t\t\t\t\tvalue = tiddler.fields[this.viewField];\t\t\t\t\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t} else {\n\t\t\tif(this.viewField === \"title\") {\n\t\t\t\tvalue = this.viewTitle;\n\t\t\t}\n\t\t}\n\t}\n\treturn value;\n};\n\nViewWidget.prototype.getValueAsText = function() {\n\treturn this.getValue({asString: true});\n};\n\nViewWidget.prototype.getValueAsHtmlWikified = function() {\n\treturn this.wiki.renderText(\"text/html\",\"text/vnd.tiddlywiki\",this.getValueAsText(),{parentWidget: this});\n};\n\nViewWidget.prototype.getValueAsHtmlEncoded = function() {\n\treturn $tw.utils.htmlEncode(this.getValueAsText());\n};\n\nViewWidget.prototype.getValueAsUrlEncoded = function() {\n\treturn encodeURIComponent(this.getValueAsText());\n};\n\nViewWidget.prototype.getValueAsDoubleUrlEncoded = function() {\n\treturn encodeURIComponent(encodeURIComponent(this.getValueAsText()));\n};\n\nViewWidget.prototype.getValueAsDate = function(format) {\n\tformat = format || \"YYYY MM DD 0hh:0mm\";\n\tvar value = $tw.utils.parseDate(this.getValue());\n\tif(value && $tw.utils.isDate(value) && value.toString() !== \"Invalid Date\") {\n\t\treturn $tw.utils.formatDateString(value,format);\n\t} else {\n\t\treturn \"\";\n\t}\n};\n\nViewWidget.prototype.getValueAsRelativeDate = function(format) {\n\tvar value = $tw.utils.parseDate(this.getValue());\n\tif(value && $tw.utils.isDate(value) && value.toString() !== \"Invalid Date\") {\n\t\treturn $tw.utils.getRelativeDate((new Date()) - (new Date(value))).description;\n\t} else {\n\t\treturn \"\";\n\t}\n};\n\nViewWidget.prototype.getValueAsStrippedComments = function() {\n\tvar lines = this.getValueAsText().split(\"\\n\"),\n\t\tout = [];\n\tfor(var line=0; line<lines.length; line++) {\n\t\tvar text = lines[line];\n\t\tif(!/^\\s*\\/\\/#/.test(text)) {\n\t\t\tout.push(text);\n\t\t}\n\t}\n\treturn out.join(\"\\n\");\n};\n\nViewWidget.prototype.getValueAsJsEncoded = function() {\n\treturn $tw.utils.stringify(this.getValueAsText());\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nViewWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.index || changedAttributes.template || changedAttributes.format || changedTiddlers[this.viewTitle]) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\t\n\t}\n};\n\nexports.view = ViewWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/view.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/widgets/widget.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/widget.js\ntype: application/javascript\nmodule-type: widget\n\nWidget base class\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\n/*\nCreate a widget object for a parse tree node\n\tparseTreeNode: reference to the parse tree node to be rendered\n\toptions: see below\nOptions include:\n\twiki: mandatory reference to wiki associated with this render tree\n\tparentWidget: optional reference to a parent renderer node for the context chain\n\tdocument: optional document object to use instead of global document\n*/\nvar Widget = function(parseTreeNode,options) {\n\tif(arguments.length > 0) {\n\t\tthis.initialise(parseTreeNode,options);\n\t}\n};\n\n/*\nInitialise widget properties. These steps are pulled out of the constructor so that we can reuse them in subclasses\n*/\nWidget.prototype.initialise = function(parseTreeNode,options) {\n\toptions = options || {};\n\t// Save widget info\n\tthis.parseTreeNode = parseTreeNode;\n\tthis.wiki = options.wiki;\n\tthis.parentWidget = options.parentWidget;\n\tthis.variablesConstructor = function() {};\n\tthis.variablesConstructor.prototype = this.parentWidget ? this.parentWidget.variables : {};\n\tthis.variables = new this.variablesConstructor();\n\tthis.document = options.document;\n\tthis.attributes = {};\n\tthis.children = [];\n\tthis.domNodes = [];\n\tthis.eventListeners = {};\n\t// Hashmap of the widget classes\n\tif(!this.widgetClasses) {\n\t\tWidget.prototype.widgetClasses = $tw.modules.applyMethods(\"widget\");\n\t}\n};\n\n/*\nRender this widget into the DOM\n*/\nWidget.prototype.render = function(parent,nextSibling) {\n\tthis.parentDomNode = parent;\n\tthis.execute();\n\tthis.renderChildren(parent,nextSibling);\n};\n\n/*\nCompute the internal state of the widget\n*/\nWidget.prototype.execute = function() {\n\tthis.makeChildWidgets();\n};\n\n/*\nSet the value of a context variable\nname: name of the variable\nvalue: value of the variable\nparams: array of {name:, default:} for each parameter\n*/\nWidget.prototype.setVariable = function(name,value,params) {\n\tthis.variables[name] = {value: value, params: params};\n};\n\n/*\nGet the prevailing value of a context variable\nname: name of variable\noptions: see below\nOptions include\nparams: array of {name:, value:} for each parameter\ndefaultValue: default value if the variable is not defined\n*/\nWidget.prototype.getVariable = function(name,options) {\n\toptions = options || {};\n\tvar actualParams = options.params || [],\n\t\tparentWidget = this.parentWidget;\n\t// Check for the variable defined in the parent widget (or an ancestor in the prototype chain)\n\tif(parentWidget && name in parentWidget.variables) {\n\t\tvar variable = parentWidget.variables[name],\n\t\t\tvalue = variable.value;\n\t\t// Substitute any parameters specified in the definition\n\t\tvalue = this.substituteVariableParameters(value,variable.params,actualParams);\n\t\tvalue = this.substituteVariableReferences(value);\n\t\treturn value;\n\t}\n\t// If the variable doesn't exist in the parent widget then look for a macro module\n\treturn this.evaluateMacroModule(name,actualParams,options.defaultValue);\n};\n\nWidget.prototype.substituteVariableParameters = function(text,formalParams,actualParams) {\n\tif(formalParams) {\n\t\tvar nextAnonParameter = 0, // Next candidate anonymous parameter in macro call\n\t\t\tparamInfo, paramValue;\n\t\t// Step through each of the parameters in the macro definition\n\t\tfor(var p=0; p<formalParams.length; p++) {\n\t\t\t// Check if we've got a macro call parameter with the same name\n\t\t\tparamInfo = formalParams[p];\n\t\t\tparamValue = undefined;\n\t\t\tfor(var m=0; m<actualParams.length; m++) {\n\t\t\t\tif(actualParams[m].name === paramInfo.name) {\n\t\t\t\t\tparamValue = actualParams[m].value;\n\t\t\t\t}\n\t\t\t}\n\t\t\t// If not, use the next available anonymous macro call parameter\n\t\t\twhile(nextAnonParameter < actualParams.length && actualParams[nextAnonParameter].name) {\n\t\t\t\tnextAnonParameter++;\n\t\t\t}\n\t\t\tif(paramValue === undefined && nextAnonParameter < actualParams.length) {\n\t\t\t\tparamValue = actualParams[nextAnonParameter++].value;\n\t\t\t}\n\t\t\t// If we've still not got a value, use the default, if any\n\t\t\tparamValue = paramValue || paramInfo[\"default\"] || \"\";\n\t\t\t// Replace any instances of this parameter\n\t\t\ttext = text.replace(new RegExp(\"\\\\$\" + $tw.utils.escapeRegExp(paramInfo.name) + \"\\\\$\",\"mg\"),paramValue);\n\t\t}\n\t}\n\treturn text;\n};\n\nWidget.prototype.substituteVariableReferences = function(text) {\n\tvar self = this;\n\treturn (text || \"\").replace(/\\$\\(([^\\)\\$]+)\\)\\$/g,function(match,p1,offset,string) {\n\t\treturn self.getVariable(p1,{defaultValue: \"\"});\n\t});\n};\n\nWidget.prototype.evaluateMacroModule = function(name,actualParams,defaultValue) {\n\tif($tw.utils.hop($tw.macros,name)) {\n\t\tvar macro = $tw.macros[name],\n\t\t\targs = [];\n\t\tif(macro.params.length > 0) {\n\t\t\tvar nextAnonParameter = 0, // Next candidate anonymous parameter in macro call\n\t\t\t\tparamInfo, paramValue;\n\t\t\t// Step through each of the parameters in the macro definition\n\t\t\tfor(var p=0; p<macro.params.length; p++) {\n\t\t\t\t// Check if we've got a macro call parameter with the same name\n\t\t\t\tparamInfo = macro.params[p];\n\t\t\t\tparamValue = undefined;\n\t\t\t\tfor(var m=0; m<actualParams.length; m++) {\n\t\t\t\t\tif(actualParams[m].name === paramInfo.name) {\n\t\t\t\t\t\tparamValue = actualParams[m].value;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\t// If not, use the next available anonymous macro call parameter\n\t\t\t\twhile(nextAnonParameter < actualParams.length && actualParams[nextAnonParameter].name) {\n\t\t\t\t\tnextAnonParameter++;\n\t\t\t\t}\n\t\t\t\tif(paramValue === undefined && nextAnonParameter < actualParams.length) {\n\t\t\t\t\tparamValue = actualParams[nextAnonParameter++].value;\n\t\t\t\t}\n\t\t\t\t// If we've still not got a value, use the default, if any\n\t\t\t\tparamValue = paramValue || paramInfo[\"default\"] || \"\";\n\t\t\t\t// Save the parameter\n\t\t\t\targs.push(paramValue);\n\t\t\t}\n\t\t}\n\t\telse for(var i=0; i<actualParams.length; ++i) {\n\t\t\targs.push(actualParams[i].value);\n\t\t}\n\t\treturn macro.run.apply(this,args).toString();\n\t} else {\n\t\treturn defaultValue;\n\t}\n};\n\n/*\nCheck whether a given context variable value exists in the parent chain\n*/\nWidget.prototype.hasVariable = function(name,value) {\n\tvar node = this;\n\twhile(node) {\n\t\tif($tw.utils.hop(node.variables,name) && node.variables[name].value === value) {\n\t\t\treturn true;\n\t\t}\n\t\tnode = node.parentWidget;\n\t}\n\treturn false;\n};\n\n/*\nConstruct a qualifying string based on a hash of concatenating the values of a given variable in the parent chain\n*/\nWidget.prototype.getStateQualifier = function(name) {\n\tname = name || \"transclusion\";\n\tvar output = [],\n\t\tnode = this;\n\twhile(node && node.parentWidget) {\n\t\tif($tw.utils.hop(node.parentWidget.variables,name)) {\n\t\t\toutput.push(node.getVariable(name));\n\t\t}\n\t\tnode = node.parentWidget;\n\t}\n\treturn $tw.utils.hashString(output.join(\"\"));\n};\n\n/*\nCompute the current values of the attributes of the widget. Returns a hashmap of the names of the attributes that have changed\n*/\nWidget.prototype.computeAttributes = function() {\n\tvar changedAttributes = {},\n\t\tself = this,\n\t\tvalue;\n\t$tw.utils.each(this.parseTreeNode.attributes,function(attribute,name) {\n\t\tif(attribute.type === \"indirect\") {\n\t\t\tvalue = self.wiki.getTextReference(attribute.textReference,\"\",self.getVariable(\"currentTiddler\"));\n\t\t} else if(attribute.type === \"macro\") {\n\t\t\tvalue = self.getVariable(attribute.value.name,{params: attribute.value.params});\n\t\t} else { // String attribute\n\t\t\tvalue = attribute.value;\n\t\t}\n\t\t// Check whether the attribute has changed\n\t\tif(self.attributes[name] !== value) {\n\t\t\tself.attributes[name] = value;\n\t\t\tchangedAttributes[name] = true;\n\t\t}\n\t});\n\treturn changedAttributes;\n};\n\n/*\nCheck for the presence of an attribute\n*/\nWidget.prototype.hasAttribute = function(name) {\n\treturn $tw.utils.hop(this.attributes,name);\n};\n\n/*\nGet the value of an attribute\n*/\nWidget.prototype.getAttribute = function(name,defaultText) {\n\tif($tw.utils.hop(this.attributes,name)) {\n\t\treturn this.attributes[name];\n\t} else {\n\t\treturn defaultText;\n\t}\n};\n\n/*\nAssign the computed attributes of the widget to a domNode\noptions include:\nexcludeEventAttributes: ignores attributes whose name begins with \"on\"\n*/\nWidget.prototype.assignAttributes = function(domNode,options) {\n\toptions = options || {};\n\tvar self = this;\n\t$tw.utils.each(this.attributes,function(v,a) {\n\t\t// Check exclusions\n\t\tif(options.excludeEventAttributes && a.substr(0,2) === \"on\") {\n\t\t\tv = undefined;\n\t\t}\n\t\tif(v !== undefined) {\n\t\t\tvar b = a.split(\":\");\n\t\t\t// Setting certain attributes can cause a DOM error (eg xmlns on the svg element)\n\t\t\ttry {\n\t\t\t\tif (b.length == 2 && b[0] == \"xlink\"){\n\t\t\t\t\tdomNode.setAttributeNS(\"http://www.w3.org/1999/xlink\",b[1],v);\n\t\t\t\t} else {\n\t\t\t\t\tdomNode.setAttributeNS(null,a,v);\n\t\t\t\t}\n\t\t\t} catch(e) {\n\t\t\t}\n\t\t}\n\t});\n};\n\n/*\nMake child widgets correspondng to specified parseTreeNodes\n*/\nWidget.prototype.makeChildWidgets = function(parseTreeNodes) {\n\tthis.children = [];\n\tvar self = this;\n\t$tw.utils.each(parseTreeNodes || (this.parseTreeNode && this.parseTreeNode.children),function(childNode) {\n\t\tself.children.push(self.makeChildWidget(childNode));\n\t});\n};\n\n/*\nConstruct the widget object for a parse tree node\n*/\nWidget.prototype.makeChildWidget = function(parseTreeNode) {\n\tvar WidgetClass = this.widgetClasses[parseTreeNode.type];\n\tif(!WidgetClass) {\n\t\tWidgetClass = this.widgetClasses.text;\n\t\tparseTreeNode = {type: \"text\", text: \"Undefined widget '\" + parseTreeNode.type + \"'\"};\n\t}\n\treturn new WidgetClass(parseTreeNode,{\n\t\twiki: this.wiki,\n\t\tvariables: {},\n\t\tparentWidget: this,\n\t\tdocument: this.document\n\t});\n};\n\n/*\nGet the next sibling of this widget\n*/\nWidget.prototype.nextSibling = function() {\n\tif(this.parentWidget) {\n\t\tvar index = this.parentWidget.children.indexOf(this);\n\t\tif(index !== -1 && index < this.parentWidget.children.length-1) {\n\t\t\treturn this.parentWidget.children[index+1];\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nGet the previous sibling of this widget\n*/\nWidget.prototype.previousSibling = function() {\n\tif(this.parentWidget) {\n\t\tvar index = this.parentWidget.children.indexOf(this);\n\t\tif(index !== -1 && index > 0) {\n\t\t\treturn this.parentWidget.children[index-1];\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nRender the children of this widget into the DOM\n*/\nWidget.prototype.renderChildren = function(parent,nextSibling) {\n\t$tw.utils.each(this.children,function(childWidget) {\n\t\tchildWidget.render(parent,nextSibling);\n\t});\n};\n\n/*\nAdd a list of event listeners from an array [{type:,handler:},...]\n*/\nWidget.prototype.addEventListeners = function(listeners) {\n\tvar self = this;\n\t$tw.utils.each(listeners,function(listenerInfo) {\n\t\tself.addEventListener(listenerInfo.type,listenerInfo.handler);\n\t});\n};\n\n/*\nAdd an event listener\n*/\nWidget.prototype.addEventListener = function(type,handler) {\n\tvar self = this;\n\tif(typeof handler === \"string\") { // The handler is a method name on this widget\n\t\tthis.eventListeners[type] = function(event) {\n\t\t\treturn self[handler].call(self,event);\n\t\t};\n\t} else { // The handler is a function\n\t\tthis.eventListeners[type] = function(event) {\n\t\t\treturn handler.call(self,event);\n\t\t};\n\t}\n};\n\n/*\nDispatch an event to a widget. If the widget doesn't handle the event then it is also dispatched to the parent widget\n*/\nWidget.prototype.dispatchEvent = function(event) {\n\t// Dispatch the event if this widget handles it\n\tvar listener = this.eventListeners[event.type];\n\tif(listener) {\n\t\t// Don't propagate the event if the listener returned false\n\t\tif(!listener(event)) {\n\t\t\treturn false;\n\t\t}\n\t}\n\t// Dispatch the event to the parent widget\n\tif(this.parentWidget) {\n\t\treturn this.parentWidget.dispatchEvent(event);\n\t}\n\treturn true;\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nWidget.prototype.refresh = function(changedTiddlers) {\n\treturn this.refreshChildren(changedTiddlers);\n};\n\n/*\nRebuild a previously rendered widget\n*/\nWidget.prototype.refreshSelf = function() {\n\tvar nextSibling = this.findNextSiblingDomNode();\n\tthis.removeChildDomNodes();\n\tthis.render(this.parentDomNode,nextSibling);\n};\n\n/*\nRefresh all the children of a widget\n*/\nWidget.prototype.refreshChildren = function(changedTiddlers) {\n\tvar self = this,\n\t\trefreshed = false;\n\t$tw.utils.each(this.children,function(childWidget) {\n\t\trefreshed = childWidget.refresh(changedTiddlers) || refreshed;\n\t});\n\treturn refreshed;\n};\n\n/*\nFind the next sibling in the DOM to this widget. This is done by scanning the widget tree through all next siblings and their descendents that share the same parent DOM node\n*/\nWidget.prototype.findNextSiblingDomNode = function(startIndex) {\n\t// Refer to this widget by its index within its parents children\n\tvar parent = this.parentWidget,\n\t\tindex = startIndex !== undefined ? startIndex : parent.children.indexOf(this);\nif(index === -1) {\n\tthrow \"node not found in parents children\";\n}\n\t// Look for a DOM node in the later siblings\n\twhile(++index < parent.children.length) {\n\t\tvar domNode = parent.children[index].findFirstDomNode();\n\t\tif(domNode) {\n\t\t\treturn domNode;\n\t\t}\n\t}\n\t// Go back and look for later siblings of our parent if it has the same parent dom node\n\tvar grandParent = parent.parentWidget;\n\tif(grandParent && parent.parentDomNode === this.parentDomNode) {\n\t\tindex = grandParent.children.indexOf(parent);\n\t\treturn parent.findNextSiblingDomNode(index);\n\t}\n\treturn null;\n};\n\n/*\nFind the first DOM node generated by a widget or its children\n*/\nWidget.prototype.findFirstDomNode = function() {\n\t// Return the first dom node of this widget, if we've got one\n\tif(this.domNodes.length > 0) {\n\t\treturn this.domNodes[0];\n\t}\n\t// Otherwise, recursively call our children\n\tfor(var t=0; t<this.children.length; t++) {\n\t\tvar domNode = this.children[t].findFirstDomNode();\n\t\tif(domNode) {\n\t\t\treturn domNode;\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nRemove any DOM nodes created by this widget or its children\n*/\nWidget.prototype.removeChildDomNodes = function() {\n\t// If this widget has directly created DOM nodes, delete them and exit. This assumes that any child widgets are contained within the created DOM nodes, which would normally be the case\n\tif(this.domNodes.length > 0) {\n\t\t$tw.utils.each(this.domNodes,function(domNode) {\n\t\t\tdomNode.parentNode.removeChild(domNode);\n\t\t});\n\t\tthis.domNodes = [];\n\t} else {\n\t\t// Otherwise, ask the child widgets to delete their DOM nodes\n\t\t$tw.utils.each(this.children,function(childWidget) {\n\t\t\tchildWidget.removeChildDomNodes();\n\t\t});\n\t}\n};\n\n/*\nInvoke any action widgets that are immediate children of this widget\n*/\nWidget.prototype.invokeActions = function(event) {\n\tvar handled = false;\n\tfor(var t=0; t<this.children.length; t++) {\n\t\tvar child = this.children[t];\n\t\tif(child.invokeAction && child.invokeAction(this,event)) {\n\t\t\thandled = true;\n\t\t}\n\t}\n\treturn handled;\n};\n\nexports.widget = Widget;\n\n})();\n",
"title": "$:/core/modules/widgets/widget.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/core/modules/wiki.js": {
"text": "/*\\\ntitle: $:/core/modules/wiki.js\ntype: application/javascript\nmodule-type: wikimethod\n\nExtension methods for the $tw.Wiki object\n\nAdds the following properties to the wiki object:\n\n* `eventListeners` is a hashmap by type of arrays of listener functions\n* `changedTiddlers` is a hashmap describing changes to named tiddlers since wiki change events were last dispatched. Each entry is a hashmap containing two fields:\n\tmodified: true/false\n\tdeleted: true/false\n* `changeCount` is a hashmap by tiddler title containing a numerical index that starts at zero and is incremented each time a tiddler is created changed or deleted\n* `caches` is a hashmap by tiddler title containing a further hashmap of named cache objects. Caches are automatically cleared when a tiddler is modified or deleted\n* `globalCache` is a hashmap by cache name of cache objects that are cleared whenever any tiddler change occurs\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar widget = require(\"$:/core/modules/widgets/widget.js\");\n\nvar USER_NAME_TITLE = \"$:/status/UserName\";\n\n/*\nGet the value of a text reference. Text references can have any of these forms:\n\t<tiddlertitle>\n\t<tiddlertitle>!!<fieldname>\n\t!!<fieldname> - specifies a field of the current tiddlers\n\t<tiddlertitle>##<index>\n*/\nexports.getTextReference = function(textRef,defaultText,currTiddlerTitle) {\n\tvar tr = $tw.utils.parseTextReference(textRef),\n\t\ttitle = tr.title || currTiddlerTitle;\n\tif(tr.field) {\n\t\tvar tiddler = this.getTiddler(title);\n\t\tif(tr.field === \"title\") { // Special case so we can return the title of a non-existent tiddler\n\t\t\treturn title;\n\t\t} else if(tiddler && $tw.utils.hop(tiddler.fields,tr.field)) {\n\t\t\treturn tiddler.getFieldString(tr.field);\n\t\t} else {\n\t\t\treturn defaultText;\n\t\t}\n\t} else if(tr.index) {\n\t\treturn this.extractTiddlerDataItem(title,tr.index,defaultText);\n\t} else {\n\t\treturn this.getTiddlerText(title,defaultText);\n\t}\n};\n\nexports.setTextReference = function(textRef,value,currTiddlerTitle) {\n\tvar tr = $tw.utils.parseTextReference(textRef),\n\t\ttitle = tr.title || currTiddlerTitle;\n\tthis.setText(title,tr.field,tr.index,value);\n};\n\nexports.setText = function(title,field,index,value) {\n\t// Check if it is a reference to a tiddler field\n\tif(index) {\n\t\tvar data = this.getTiddlerData(title,Object.create(null));\n\t\tdata[index] = value;\n\t\tthis.setTiddlerData(title,data,this.getModificationFields());\n\t} else {\n\t\tvar tiddler = this.getTiddler(title),\n\t\t\tfields = {title: title};\n\t\tfields[field || \"text\"] = value;\n\t\tthis.addTiddler(new $tw.Tiddler(tiddler,fields,this.getModificationFields()));\n\t}\n};\n\nexports.deleteTextReference = function(textRef,currTiddlerTitle) {\n\tvar tr = $tw.utils.parseTextReference(textRef),\n\t\ttitle,tiddler,fields;\n\t// Check if it is a reference to a tiddler\n\tif(tr.title && !tr.field) {\n\t\tthis.deleteTiddler(tr.title);\n\t// Else check for a field reference\n\t} else if(tr.field) {\n\t\ttitle = tr.title || currTiddlerTitle;\n\t\ttiddler = this.getTiddler(title);\n\t\tif(tiddler && $tw.utils.hop(tiddler.fields,tr.field)) {\n\t\t\tfields = Object.create(null);\n\t\t\tfields[tr.field] = undefined;\n\t\t\tthis.addTiddler(new $tw.Tiddler(tiddler,fields,this.getModificationFields()));\n\t\t}\n\t}\n};\n\nexports.addEventListener = function(type,listener) {\n\tthis.eventListeners = this.eventListeners || {};\n\tthis.eventListeners[type] = this.eventListeners[type] || [];\n\tthis.eventListeners[type].push(listener);\t\n};\n\nexports.removeEventListener = function(type,listener) {\n\tvar listeners = this.eventListeners[type];\n\tif(listeners) {\n\t\tvar p = listeners.indexOf(listener);\n\t\tif(p !== -1) {\n\t\t\tlisteners.splice(p,1);\n\t\t}\n\t}\n};\n\nexports.dispatchEvent = function(type /*, args */) {\n\tvar args = Array.prototype.slice.call(arguments,1),\n\t\tlisteners = this.eventListeners[type];\n\tif(listeners) {\n\t\tfor(var p=0; p<listeners.length; p++) {\n\t\t\tvar listener = listeners[p];\n\t\t\tlistener.apply(listener,args);\n\t\t}\n\t}\n};\n\n/*\nCauses a tiddler to be marked as changed, incrementing the change count, and triggers event handlers.\nThis method should be called after the changes it describes have been made to the wiki.tiddlers[] array.\n\ttitle: Title of tiddler\n\tisDeleted: defaults to false (meaning the tiddler has been created or modified),\n\t\ttrue if the tiddler has been deleted\n*/\nexports.enqueueTiddlerEvent = function(title,isDeleted) {\n\t// Record the touch in the list of changed tiddlers\n\tthis.changedTiddlers = this.changedTiddlers || Object.create(null);\n\tthis.changedTiddlers[title] = this.changedTiddlers[title] || Object.create(null);\n\tthis.changedTiddlers[title][isDeleted ? \"deleted\" : \"modified\"] = true;\n\t// Increment the change count\n\tthis.changeCount = this.changeCount || Object.create(null);\n\tif($tw.utils.hop(this.changeCount,title)) {\n\t\tthis.changeCount[title]++;\n\t} else {\n\t\tthis.changeCount[title] = 1;\n\t}\n\t// Trigger events\n\tthis.eventListeners = this.eventListeners || [];\n\tif(!this.eventsTriggered) {\n\t\tvar self = this;\n\t\t$tw.utils.nextTick(function() {\n\t\t\tvar changes = self.changedTiddlers;\n\t\t\tself.changedTiddlers = Object.create(null);\n\t\t\tself.eventsTriggered = false;\n\t\t\tif($tw.utils.count(changes) > 0) {\n\t\t\t\tself.dispatchEvent(\"change\",changes);\n\t\t\t}\n\t\t});\n\t\tthis.eventsTriggered = true;\n\t}\n};\n\nexports.getSizeOfTiddlerEventQueue = function() {\n\treturn $tw.utils.count(this.changedTiddlers);\n};\n\nexports.clearTiddlerEventQueue = function() {\n\tthis.changedTiddlers = Object.create(null);\n\tthis.changeCount = Object.create(null);\n};\n\nexports.getChangeCount = function(title) {\n\tthis.changeCount = this.changeCount || Object.create(null);\n\tif($tw.utils.hop(this.changeCount,title)) {\n\t\treturn this.changeCount[title];\n\t} else {\n\t\treturn 0;\n\t}\n};\n\n/*\nGenerate an unused title from the specified base\n*/\nexports.generateNewTitle = function(baseTitle,options) {\n\toptions = options || {};\n\tvar c = 0,\n\t\ttitle = baseTitle;\n\twhile(this.tiddlerExists(title) || this.isShadowTiddler(title) || this.findDraft(title)) {\n\t\ttitle = baseTitle + \n\t\t\t(options.prefix || \" \") + \n\t\t\t(++c);\n\t}\n\treturn title;\n};\n\nexports.isSystemTiddler = function(title) {\n\treturn title.indexOf(\"$:/\") === 0;\n};\n\nexports.isTemporaryTiddler = function(title) {\n\treturn title.indexOf(\"$:/temp/\") === 0;\n};\n\nexports.isImageTiddler = function(title) {\n\tvar tiddler = this.getTiddler(title);\n\tif(tiddler) {\t\t\n\t\tvar contentTypeInfo = $tw.config.contentTypeInfo[tiddler.fields.type || \"text/vnd.tiddlywiki\"];\n\t\treturn !!contentTypeInfo && contentTypeInfo.flags.indexOf(\"image\") !== -1;\n\t} else {\n\t\treturn null;\n\t}\n};\n\n/*\nLike addTiddler() except it will silently reject any plugin tiddlers that are older than the currently loaded version. Returns true if the tiddler was imported\n*/\nexports.importTiddler = function(tiddler) {\n\tvar existingTiddler = this.getTiddler(tiddler.fields.title);\n\t// Check if we're dealing with a plugin\n\tif(tiddler && tiddler.hasField(\"plugin-type\") && tiddler.hasField(\"version\") && existingTiddler && existingTiddler.hasField(\"plugin-type\") && existingTiddler.hasField(\"version\")) {\n\t\t// Reject the incoming plugin if it is older\n\t\tif($tw.utils.checkVersions(existingTiddler.fields.version,tiddler.fields.version)) {\n\t\t\treturn false;\n\t\t}\n\t}\n\t// Fall through to adding the tiddler\n\tthis.addTiddler(tiddler);\n\treturn true;\n};\n\n/*\nReturn a hashmap of the fields that should be set when a tiddler is created\n*/\nexports.getCreationFields = function() {\n\tvar fields = {\n\t\t\tcreated: new Date()\n\t\t},\n\t\tcreator = this.getTiddlerText(USER_NAME_TITLE);\n\tif(creator) {\n\t\tfields.creator = creator;\n\t}\n\treturn fields;\n};\n\n/*\nReturn a hashmap of the fields that should be set when a tiddler is modified\n*/\nexports.getModificationFields = function() {\n\tvar fields = Object.create(null),\n\t\tmodifier = this.getTiddlerText(USER_NAME_TITLE);\n\tfields.modified = new Date();\n\tif(modifier) {\n\t\tfields.modifier = modifier;\n\t}\n\treturn fields;\n};\n\n/*\nReturn a sorted array of tiddler titles. Options include:\nsortField: field to sort by\nexcludeTag: tag to exclude\nincludeSystem: whether to include system tiddlers (defaults to false)\n*/\nexports.getTiddlers = function(options) {\n\toptions = options || Object.create(null);\n\tvar self = this,\n\t\tsortField = options.sortField || \"title\",\n\t\ttiddlers = [], t, titles = [];\n\tthis.each(function(tiddler,title) {\n\t\tif(options.includeSystem || !self.isSystemTiddler(title)) {\n\t\t\tif(!options.excludeTag || !tiddler.hasTag(options.excludeTag)) {\n\t\t\t\ttiddlers.push(tiddler);\n\t\t\t}\n\t\t}\n\t});\n\ttiddlers.sort(function(a,b) {\n\t\tvar aa = a.fields[sortField].toLowerCase() || \"\",\n\t\t\tbb = b.fields[sortField].toLowerCase() || \"\";\n\t\tif(aa < bb) {\n\t\t\treturn -1;\n\t\t} else {\n\t\t\tif(aa > bb) {\n\t\t\t\treturn 1;\n\t\t\t} else {\n\t\t\t\treturn 0;\n\t\t\t}\n\t\t}\n\t});\n\tfor(t=0; t<tiddlers.length; t++) {\n\t\ttitles.push(tiddlers[t].fields.title);\n\t}\n\treturn titles;\n};\n\nexports.countTiddlers = function(excludeTag) {\n\tvar tiddlers = this.getTiddlers({excludeTag: excludeTag});\n\treturn $tw.utils.count(tiddlers);\n};\n\n/*\nReturns a function iterator(callback) that iterates through the specified titles, and invokes the callback with callback(tiddler,title)\n*/\nexports.makeTiddlerIterator = function(titles) {\n\tvar self = this;\n\tif(!$tw.utils.isArray(titles)) {\n\t\ttitles = Object.keys(titles);\n\t} else {\n\t\ttitles = titles.slice(0);\n\t}\n\treturn function(callback) {\n\t\ttitles.forEach(function(title) {\n\t\t\tcallback(self.getTiddler(title),title);\n\t\t});\n\t};\n};\n\n/*\nSort an array of tiddler titles by a specified field\n\ttitles: array of titles (sorted in place)\n\tsortField: name of field to sort by\n\tisDescending: true if the sort should be descending\n\tisCaseSensitive: true if the sort should consider upper and lower case letters to be different\n*/\nexports.sortTiddlers = function(titles,sortField,isDescending,isCaseSensitive,isNumeric) {\n\tvar self = this;\n\ttitles.sort(function(a,b) {\n\t\tif(sortField !== \"title\") {\n\t\t\tvar tiddlerA = self.getTiddler(a),\n\t\t\t\ttiddlerB = self.getTiddler(b);\n\t\t\tif(tiddlerA) {\n\t\t\t\ta = tiddlerA.fields[sortField] || \"\";\n\t\t\t} else {\n\t\t\t\ta = \"\";\n\t\t\t}\n\t\t\tif(tiddlerB) {\n\t\t\t\tb = tiddlerB.fields[sortField] || \"\";\n\t\t\t} else {\n\t\t\t\tb = \"\";\n\t\t\t}\n\t\t}\n\t\tif(isNumeric) {\n\t\t\ta = Number(a);\n\t\t\tb = Number(b);\n\t\t\treturn isDescending ? b - a : a - b;\n\t\t} else if($tw.utils.isDate(a) && $tw.utils.isDate(b)) {\n\t\t\treturn isDescending ? b - a : a - b;\n\t\t} else {\n\t\t\ta = String(a);\n\t\t\tb = String(b);\n\t\t\tif(!isCaseSensitive) {\n\t\t\t\ta = a.toLowerCase();\n\t\t\t\tb = b.toLowerCase();\n\t\t\t}\n\t\t\treturn isDescending ? b.localeCompare(a) : a.localeCompare(b);\n\t\t}\n\t});\n};\n\n/*\nFor every tiddler invoke a callback(title,tiddler) with `this` set to the wiki object. Options include:\nsortField: field to sort by\nexcludeTag: tag to exclude\nincludeSystem: whether to include system tiddlers (defaults to false)\n*/\nexports.forEachTiddler = function(/* [options,]callback */) {\n\tvar arg = 0,\n\t\toptions = arguments.length >= 2 ? arguments[arg++] : {},\n\t\tcallback = arguments[arg++],\n\t\ttitles = this.getTiddlers(options),\n\t\tt, tiddler;\n\tfor(t=0; t<titles.length; t++) {\n\t\ttiddler = this.getTiddler(titles[t]);\n\t\tif(tiddler) {\n\t\t\tcallback.call(this,tiddler.fields.title,tiddler);\n\t\t}\n\t}\n};\n\n/*\nReturn an array of tiddler titles that are directly linked from the specified tiddler\n*/\nexports.getTiddlerLinks = function(title) {\n\tvar self = this;\n\t// We'll cache the links so they only get computed if the tiddler changes\n\treturn this.getCacheForTiddler(title,\"links\",function() {\n\t\t// Parse the tiddler\n\t\tvar parser = self.parseTiddler(title);\n\t\t// Count up the links\n\t\tvar links = [],\n\t\t\tcheckParseTree = function(parseTree) {\n\t\t\t\tfor(var t=0; t<parseTree.length; t++) {\n\t\t\t\t\tvar parseTreeNode = parseTree[t];\n\t\t\t\t\tif(parseTreeNode.type === \"link\" && parseTreeNode.attributes.to && parseTreeNode.attributes.to.type === \"string\") {\n\t\t\t\t\t\tvar value = parseTreeNode.attributes.to.value;\n\t\t\t\t\t\tif(links.indexOf(value) === -1) {\n\t\t\t\t\t\t\tlinks.push(value);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tif(parseTreeNode.children) {\n\t\t\t\t\t\tcheckParseTree(parseTreeNode.children);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t};\n\t\tif(parser) {\n\t\t\tcheckParseTree(parser.tree);\n\t\t}\n\t\treturn links;\n\t});\n};\n\n/*\nReturn an array of tiddler titles that link to the specified tiddler\n*/\nexports.getTiddlerBacklinks = function(targetTitle) {\n\tvar self = this,\n\t\tbacklinks = [];\n\tthis.forEachTiddler(function(title,tiddler) {\n\t\tvar links = self.getTiddlerLinks(title);\n\t\tif(links.indexOf(targetTitle) !== -1) {\n\t\t\tbacklinks.push(title);\n\t\t}\n\t});\n\treturn backlinks;\n};\n\n/*\nReturn a hashmap of tiddler titles that are referenced but not defined. Each value is the number of times the missing tiddler is referenced\n*/\nexports.getMissingTitles = function() {\n\tvar self = this,\n\t\tmissing = [];\n// We should cache the missing tiddler list, even if we recreate it every time any tiddler is modified\n\tthis.forEachTiddler(function(title,tiddler) {\n\t\tvar links = self.getTiddlerLinks(title);\n\t\t$tw.utils.each(links,function(link) {\n\t\t\tif((!self.tiddlerExists(link) && !self.isShadowTiddler(link)) && missing.indexOf(link) === -1) {\n\t\t\t\tmissing.push(link);\n\t\t\t}\n\t\t});\n\t});\n\treturn missing;\n};\n\nexports.getOrphanTitles = function() {\n\tvar self = this,\n\t\torphans = this.getTiddlers();\n\tthis.forEachTiddler(function(title,tiddler) {\n\t\tvar links = self.getTiddlerLinks(title);\n\t\t$tw.utils.each(links,function(link) {\n\t\t\tvar p = orphans.indexOf(link);\n\t\t\tif(p !== -1) {\n\t\t\t\torphans.splice(p,1);\n\t\t\t}\n\t\t});\n\t});\n\treturn orphans; // Todo\n};\n\n/*\nRetrieves a list of the tiddler titles that are tagged with a given tag\n*/\nexports.getTiddlersWithTag = function(tag) {\n\tvar self = this;\n\treturn this.getGlobalCache(\"taglist-\" + tag,function() {\n\t\tvar tagmap = self.getTagMap();\n\t\treturn self.sortByList(tagmap[tag],tag);\n\t});\n};\n\n/*\nGet a hashmap by tag of arrays of tiddler titles\n*/\nexports.getTagMap = function() {\n\tvar self = this;\n\treturn this.getGlobalCache(\"tagmap\",function() {\n\t\tvar tags = Object.create(null),\n\t\t\tstoreTags = function(tagArray,title) {\n\t\t\t\tif(tagArray) {\n\t\t\t\t\tfor(var index=0; index<tagArray.length; index++) {\n\t\t\t\t\t\tvar tag = tagArray[index];\n\t\t\t\t\t\tif($tw.utils.hop(tags,tag)) {\n\t\t\t\t\t\t\ttags[tag].push(title);\n\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\ttags[tag] = [title];\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t},\n\t\t\ttitle, tiddler;\n\t\t// Collect up all the tags\n\t\tself.eachShadow(function(tiddler,title) {\n\t\t\tif(!self.tiddlerExists(title)) {\n\t\t\t\ttiddler = self.getTiddler(title);\n\t\t\t\tstoreTags(tiddler.fields.tags,title);\n\t\t\t}\n\t\t});\n\t\tself.each(function(tiddler,title) {\n\t\t\tstoreTags(tiddler.fields.tags,title);\n\t\t});\n\t\treturn tags;\n\t});\n};\n\n/*\nLookup a given tiddler and return a list of all the tiddlers that include it in the specified list field\n*/\nexports.findListingsOfTiddler = function(targetTitle,fieldName) {\n\tfieldName = fieldName || \"list\";\n\tvar titles = [];\n\tthis.each(function(tiddler,title) {\n\t\tvar list = $tw.utils.parseStringArray(tiddler.fields[fieldName]);\n\t\tif(list && list.indexOf(targetTitle) !== -1) {\n\t\t\ttitles.push(title);\n\t\t}\n\t});\n\treturn titles;\n};\n\n/*\nSorts an array of tiddler titles according to an ordered list\n*/\nexports.sortByList = function(array,listTitle) {\n\tvar list = this.getTiddlerList(listTitle);\n\tif(!array || array.length === 0) {\n\t\treturn [];\n\t} else {\n\t\tvar titles = [], t, title;\n\t\t// First place any entries that are present in the list\n\t\tfor(t=0; t<list.length; t++) {\n\t\t\ttitle = list[t];\n\t\t\tif(array.indexOf(title) !== -1) {\n\t\t\t\ttitles.push(title);\n\t\t\t}\n\t\t}\n\t\t// Then place any remaining entries\n\t\tfor(t=0; t<array.length; t++) {\n\t\t\ttitle = array[t];\n\t\t\tif(list.indexOf(title) === -1) {\n\t\t\t\ttitles.push(title);\n\t\t\t}\n\t\t}\n\t\t// Finally obey the list-before and list-after fields of each tiddler in turn\n\t\tvar sortedTitles = titles.slice(0);\n\t\tfor(t=0; t<sortedTitles.length; t++) {\n\t\t\ttitle = sortedTitles[t];\n\t\t\tvar currPos = titles.indexOf(title),\n\t\t\t\tnewPos = -1,\n\t\t\t\ttiddler = this.getTiddler(title);\n\t\t\tif(tiddler) {\n\t\t\t\tvar beforeTitle = tiddler.fields[\"list-before\"],\n\t\t\t\t\tafterTitle = tiddler.fields[\"list-after\"];\n\t\t\t\tif(beforeTitle === \"\") {\n\t\t\t\t\tnewPos = 0;\n\t\t\t\t} else if(beforeTitle) {\n\t\t\t\t\tnewPos = titles.indexOf(beforeTitle);\n\t\t\t\t} else if(afterTitle) {\n\t\t\t\t\tnewPos = titles.indexOf(afterTitle);\n\t\t\t\t\tif(newPos >= 0) {\n\t\t\t\t\t\t++newPos;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tif(newPos === -1) {\n\t\t\t\t\tnewPos = currPos;\n\t\t\t\t}\n\t\t\t\tif(newPos !== currPos) {\n\t\t\t\t\ttitles.splice(currPos,1);\n\t\t\t\t\tif(newPos >= currPos) {\n\t\t\t\t\t\tnewPos--;\n\t\t\t\t\t}\n\t\t\t\t\ttitles.splice(newPos,0,title);\n\t\t\t\t}\n\t\t\t}\n\n\t\t}\n\t\treturn titles;\n\t}\n};\n\nexports.getSubTiddler = function(title,subTiddlerTitle) {\n\tvar bundleInfo = this.getPluginInfo(title) || this.getTiddlerData(title);\n\tif(bundleInfo && bundleInfo.tiddlers) {\n\t\tvar subTiddler = bundleInfo.tiddlers[subTiddlerTitle];\n\t\tif(subTiddler) {\n\t\t\treturn new $tw.Tiddler(subTiddler);\n\t\t}\n\t}\n\treturn null;\n};\n\n/*\nRetrieve a tiddler as a JSON string of the fields\n*/\nexports.getTiddlerAsJson = function(title) {\n\tvar tiddler = this.getTiddler(title);\n\tif(tiddler) {\n\t\tvar fields = Object.create(null);\n\t\t$tw.utils.each(tiddler.fields,function(value,name) {\n\t\t\tfields[name] = tiddler.getFieldString(name);\n\t\t});\n\t\treturn JSON.stringify(fields);\n\t} else {\n\t\treturn JSON.stringify({title: title});\n\t}\n};\n\n/*\nGet the content of a tiddler as a JavaScript object. How this is done depends on the type of the tiddler:\n\napplication/json: the tiddler JSON is parsed into an object\napplication/x-tiddler-dictionary: the tiddler is parsed as sequence of name:value pairs\n\nOther types currently just return null.\n\ntitleOrTiddler: string tiddler title or a tiddler object\ndefaultData: default data to be returned if the tiddler is missing or doesn't contain data\n*/\nexports.getTiddlerData = function(titleOrTiddler,defaultData) {\n\tvar tiddler = titleOrTiddler,\n\t\tdata;\n\tif(!(tiddler instanceof $tw.Tiddler)) {\n\t\ttiddler = this.getTiddler(tiddler);\t\n\t}\n\tif(tiddler && tiddler.fields.text) {\n\t\tswitch(tiddler.fields.type) {\n\t\t\tcase \"application/json\":\n\t\t\t\t// JSON tiddler\n\t\t\t\ttry {\n\t\t\t\t\tdata = JSON.parse(tiddler.fields.text);\n\t\t\t\t} catch(ex) {\n\t\t\t\t\treturn defaultData;\n\t\t\t\t}\n\t\t\t\treturn data;\n\t\t\tcase \"application/x-tiddler-dictionary\":\n\t\t\t\treturn $tw.utils.parseFields(tiddler.fields.text);\n\t\t}\n\t}\n\treturn defaultData;\n};\n\n/*\nExtract an indexed field from within a data tiddler\n*/\nexports.extractTiddlerDataItem = function(titleOrTiddler,index,defaultText) {\n\tvar data = this.getTiddlerData(titleOrTiddler,Object.create(null)),\n\t\ttext;\n\tif(data && $tw.utils.hop(data,index)) {\n\t\ttext = data[index];\n\t}\n\tif(typeof text === \"string\" || typeof text === \"number\") {\n\t\treturn text.toString();\n\t} else {\n\t\treturn defaultText;\n\t}\n};\n\n/*\nSet a tiddlers content to a JavaScript object. Currently this is done by setting the tiddler's type to \"application/json\" and setting the text to the JSON text of the data.\ntitle: title of tiddler\ndata: object that can be serialised to JSON\nfields: optional hashmap of additional tiddler fields to be set\n*/\nexports.setTiddlerData = function(title,data,fields) {\n\tvar existingTiddler = this.getTiddler(title),\n\t\tnewFields = {\n\t\t\ttitle: title\n\t};\n\tif(existingTiddler && existingTiddler.fields.type === \"application/x-tiddler-dictionary\") {\n\t\tnewFields.text = $tw.utils.makeTiddlerDictionary(data);\n\t} else {\n\t\tnewFields.type = \"application/json\";\n\t\tnewFields.text = JSON.stringify(data,null,$tw.config.preferences.jsonSpaces);\n\t}\n\tthis.addTiddler(new $tw.Tiddler(existingTiddler,fields,newFields,this.getModificationFields()));\n};\n\n/*\nReturn the content of a tiddler as an array containing each line\n*/\nexports.getTiddlerList = function(title,field,index) {\n\tif(index) {\n\t\treturn $tw.utils.parseStringArray(this.extractTiddlerDataItem(title,index,\"\"));\n\t}\n\tfield = field || \"list\";\n\tvar tiddler = this.getTiddler(title);\n\tif(tiddler) {\n\t\treturn ($tw.utils.parseStringArray(tiddler.fields[field]) || []).slice(0);\n\t}\n\treturn [];\n};\n\n// Return a named global cache object. Global cache objects are cleared whenever a tiddler change occurs\nexports.getGlobalCache = function(cacheName,initializer) {\n\tthis.globalCache = this.globalCache || Object.create(null);\n\tif($tw.utils.hop(this.globalCache,cacheName)) {\n\t\treturn this.globalCache[cacheName];\n\t} else {\n\t\tthis.globalCache[cacheName] = initializer();\n\t\treturn this.globalCache[cacheName];\n\t}\n};\n\nexports.clearGlobalCache = function() {\n\tthis.globalCache = Object.create(null);\n};\n\n// Return the named cache object for a tiddler. If the cache doesn't exist then the initializer function is invoked to create it\nexports.getCacheForTiddler = function(title,cacheName,initializer) {\n\n// Temporarily disable caching so that tweakParseTreeNode() works\nreturn initializer();\n\n//\tthis.caches = this.caches || Object.create(null);\n//\tvar caches = this.caches[title];\n//\tif(caches && caches[cacheName]) {\n//\t\treturn caches[cacheName];\n//\t} else {\n//\t\tif(!caches) {\n//\t\t\tcaches = Object.create(null);\n//\t\t\tthis.caches[title] = caches;\n//\t\t}\n//\t\tcaches[cacheName] = initializer();\n//\t\treturn caches[cacheName];\n//\t}\n};\n\n// Clear all caches associated with a particular tiddler\nexports.clearCache = function(title) {\n\tthis.caches = this.caches || Object.create(null);\n\tif($tw.utils.hop(this.caches,title)) {\n\t\tdelete this.caches[title];\n\t}\n};\n\nexports.initParsers = function(moduleType) {\n\t// Install the parser modules\n\t$tw.Wiki.parsers = {};\n\tvar self = this;\n\t$tw.modules.forEachModuleOfType(\"parser\",function(title,module) {\n\t\tfor(var f in module) {\n\t\t\tif($tw.utils.hop(module,f)) {\n\t\t\t\t$tw.Wiki.parsers[f] = module[f]; // Store the parser class\n\t\t\t}\n\t\t}\n\t});\n};\n\n/*\nParse a block of text of a specified MIME type\n\ttype: content type of text to be parsed\n\ttext: text\n\toptions: see below\nOptions include:\n\tparseAsInline: if true, the text of the tiddler will be parsed as an inline run\n\t_canonical_uri: optional string of the canonical URI of this content\n*/\nexports.old_parseText = function(type,text,options) {\n\toptions = options || {};\n\t// Select a parser\n\tvar Parser = $tw.Wiki.parsers[type];\n\tif(!Parser && $tw.config.fileExtensionInfo[type]) {\n\t\tParser = $tw.Wiki.parsers[$tw.config.fileExtensionInfo[type].type];\n\t}\n\tif(!Parser) {\n\t\tParser = $tw.Wiki.parsers[options.defaultType || \"text/vnd.tiddlywiki\"];\n\t}\n\tif(!Parser) {\n\t\treturn null;\n\t}\n\t// Return the parser instance\n\treturn new Parser(type,text,{\n\t\tparseAsInline: options.parseAsInline,\n\t\twiki: this,\n\t\t_canonical_uri: options._canonical_uri\n\t});\n};\n\n/*\nParse a tiddler according to its MIME type\n*/\nexports.old_parseTiddler = function(title,options) {\n\toptions = $tw.utils.extend({},options);\n\tvar cacheType = options.parseAsInline ? \"newInlineParseTree\" : \"newBlockParseTree\",\n\t\ttiddler = this.getTiddler(title),\n\t\tself = this;\n\treturn tiddler ? this.getCacheForTiddler(title,cacheType,function() {\n\t\t\tif(tiddler.hasField(\"_canonical_uri\")) {\n\t\t\t\toptions._canonical_uri = tiddler.fields._canonical_uri;\n\t\t\t}\n\t\t\treturn self.old_parseText(tiddler.fields.type,tiddler.fields.text,options);\n\t\t}) : null;\n};\n\nvar tweakMacroDefinition = function(nodeList) {\n\tif(nodeList && nodeList[0] && nodeList[0].type === \"macrodef\") {\n\t\tnodeList[0].type = \"set\";\n\t\tnodeList[0].attributes = {\n\t\t\tname: {type: \"string\", value: nodeList[0].name},\n\t\t\tvalue: {type: \"string\", value: nodeList[0].text}\n\t\t};\n\t\tnodeList[0].children = nodeList.slice(1);\n\t\tnodeList.splice(1,nodeList.length-1);\n\t\ttweakMacroDefinition(nodeList[0].children);\n\t}\n};\n\nvar tweakParser = function(parser) {\n\t// Move any macro definitions to contain the body tree\n\ttweakMacroDefinition(parser.tree);\n};\n\nexports.parseText = function(type,text,options) {\n\tvar parser = this.old_parseText(type,text,options);\n\tif(parser) {\n\t\ttweakParser(parser);\n\t}\n\treturn parser;\n};\n\nexports.parseTiddler = function(title,options) {\n\tvar parser = this.old_parseTiddler(title,options);\n\tif(parser) {\n\t\ttweakParser(parser);\n\t}\n\treturn parser;\n};\n\nexports.parseTextReference = function(title,field,index,options) {\n\tvar tiddler,text;\n\tif(options.subTiddler) {\n\t\ttiddler = this.getSubTiddler(title,options.subTiddler);\n\t} else {\n\t\ttiddler = this.getTiddler(title);\n\t\tif(field === \"text\" || (!field && !index)) {\n\t\t\tthis.getTiddlerText(title); // Force the tiddler to be lazily loaded\n\t\t\treturn this.parseTiddler(title,options);\n\t\t}\n\t}\n\tif(field === \"text\" || (!field && !index)) {\n\t\tif(tiddler && tiddler.fields) {\n\t\t\treturn this.parseText(tiddler.fields.type || \"text/vnd.tiddlywiki\",tiddler.fields.text,options);\t\t\t\n\t\t} else {\n\t\t\treturn null;\n\t\t}\n\t} else if(field) {\n\t\tif(field === \"title\") {\n\t\t\ttext = title;\n\t\t} else {\n\t\t\tif(!tiddler || !tiddler.hasField(field)) {\n\t\t\t\treturn null;\n\t\t\t}\n\t\t\ttext = tiddler.fields[field];\n\t\t}\n\t\treturn this.parseText(\"text/vnd.tiddlywiki\",text.toString(),options);\n\t} else if(index) {\n\t\tthis.getTiddlerText(title); // Force the tiddler to be lazily loaded\n\t\ttext = this.extractTiddlerDataItem(tiddler,index,undefined);\n\t\tif(text === undefined) {\n\t\t\treturn null;\n\t\t}\n\t\treturn this.parseText(\"text/vnd.tiddlywiki\",text,options);\n\t}\n};\n\n/*\nMake a widget tree for a parse tree\nparser: parser object\noptions: see below\nOptions include:\ndocument: optional document to use\nvariables: hashmap of variables to set\nparentWidget: optional parent widget for the root node\n*/\nexports.makeWidget = function(parser,options) {\n\toptions = options || {};\n\tvar widgetNode = {\n\t\t\ttype: \"widget\",\n\t\t\tchildren: []\n\t\t},\n\t\tcurrWidgetNode = widgetNode;\n\t// Create set variable widgets for each variable\n\t$tw.utils.each(options.variables,function(value,name) {\n\t\tvar setVariableWidget = {\n\t\t\ttype: \"set\",\n\t\t\tattributes: {\n\t\t\t\tname: {type: \"string\", value: name},\n\t\t\t\tvalue: {type: \"string\", value: value}\n\t\t\t},\n\t\t\tchildren: []\n\t\t};\n\t\tcurrWidgetNode.children = [setVariableWidget];\n\t\tcurrWidgetNode = setVariableWidget;\n\t});\n\t// Add in the supplied parse tree nodes\n\tcurrWidgetNode.children = parser ? parser.tree : [];\n\t// Create the widget\n\treturn new widget.widget(widgetNode,{\n\t\twiki: this,\n\t\tdocument: options.document || $tw.fakeDocument,\n\t\tparentWidget: options.parentWidget\n\t});\n};\n\n/*\nMake a widget tree for transclusion\ntitle: target tiddler title\noptions: as for wiki.makeWidget() plus:\noptions.field: optional field to transclude (defaults to \"text\")\noptions.children: optional array of children for the transclude widget\n*/\nexports.makeTranscludeWidget = function(title,options) {\n\toptions = options || {};\n\tvar parseTree = {tree: [{\n\t\t\ttype: \"element\",\n\t\t\ttag: \"div\",\n\t\t\tchildren: [{\n\t\t\t\ttype: \"transclude\",\n\t\t\t\tattributes: {\n\t\t\t\t\ttiddler: {\n\t\t\t\t\t\tname: \"tiddler\",\n\t\t\t\t\t\ttype: \"string\",\n\t\t\t\t\t\tvalue: title}},\n\t\t\t\tisBlock: !options.parseAsInline}]}\n\t]};\n\tif(options.field) {\n\t\tparseTree.tree[0].children[0].attributes.field = {type: \"string\", value: options.field};\n\t}\n\tif(options.children) {\n\t\tparseTree.tree[0].children[0].children = options.children;\n\t}\n\treturn $tw.wiki.makeWidget(parseTree,options);\n};\n\n/*\nParse text in a specified format and render it into another format\n\toutputType: content type for the output\n\ttextType: content type of the input text\n\ttext: input text\n\toptions: see below\nOptions include:\nvariables: hashmap of variables to set\nparentWidget: optional parent widget for the root node\n*/\nexports.renderText = function(outputType,textType,text,options) {\n\toptions = options || {};\n\tvar parser = this.parseText(textType,text,options),\n\t\twidgetNode = this.makeWidget(parser,options);\n\tvar container = $tw.fakeDocument.createElement(\"div\");\n\twidgetNode.render(container,null);\n\treturn outputType === \"text/html\" ? container.innerHTML : container.textContent;\n};\n\n/*\nParse text from a tiddler and render it into another format\n\toutputType: content type for the output\n\ttitle: title of the tiddler to be rendered\n\toptions: see below\nOptions include:\nvariables: hashmap of variables to set\nparentWidget: optional parent widget for the root node\n*/\nexports.renderTiddler = function(outputType,title,options) {\n\toptions = options || {};\n\tvar parser = this.parseTiddler(title,options),\n\t\twidgetNode = this.makeWidget(parser,options);\n\tvar container = $tw.fakeDocument.createElement(\"div\");\n\twidgetNode.render(container,null);\n\treturn outputType === \"text/html\" ? container.innerHTML : (outputType === \"text/plain-formatted\" ? container.formattedTextContent : container.textContent);\n};\n\n/*\nReturn an array of tiddler titles that match a search string\n\ttext: The text string to search for\n\toptions: see below\nOptions available:\n\tsource: an iterator function for the source tiddlers, called source(iterator), where iterator is called as iterator(tiddler,title)\n\texclude: An array of tiddler titles to exclude from the search\n\tinvert: If true returns tiddlers that do not contain the specified string\n\tcaseSensitive: If true forces a case sensitive search\n\tliteral: If true, searches for literal string, rather than separate search terms\n\tfield: If specified, restricts the search to the specified field\n*/\nexports.search = function(text,options) {\n\toptions = options || {};\n\tvar self = this,\n\t\tt,\n\t\tinvert = !!options.invert;\n\t// Convert the search string into a regexp for each term\n\tvar terms, searchTermsRegExps,\n\t\tflags = options.caseSensitive ? \"\" : \"i\";\n\tif(options.literal) {\n\t\tif(text.length === 0) {\n\t\t\tsearchTermsRegExps = null;\n\t\t} else {\n\t\t\tsearchTermsRegExps = [new RegExp(\"(\" + $tw.utils.escapeRegExp(text) + \")\",flags)];\n\t\t}\n\t} else {\n\t\tterms = text.split(/ +/);\n\t\tif(terms.length === 1 && terms[0] === \"\") {\n\t\t\tsearchTermsRegExps = null;\n\t\t} else {\n\t\t\tsearchTermsRegExps = [];\n\t\t\tfor(t=0; t<terms.length; t++) {\n\t\t\t\tsearchTermsRegExps.push(new RegExp(\"(\" + $tw.utils.escapeRegExp(terms[t]) + \")\",flags));\n\t\t\t}\n\t\t}\n\t}\n\t// Function to check a given tiddler for the search term\n\tvar searchTiddler = function(title) {\n\t\tif(!searchTermsRegExps) {\n\t\t\treturn true;\n\t\t}\n\t\tvar tiddler = self.getTiddler(title);\n\t\tif(!tiddler) {\n\t\t\ttiddler = new $tw.Tiddler({title: title, text: \"\", type: \"text/vnd.tiddlywiki\"});\n\t\t}\n\t\tvar contentTypeInfo = $tw.config.contentTypeInfo[tiddler.fields.type] || $tw.config.contentTypeInfo[\"text/vnd.tiddlywiki\"],\n\t\t\tmatch;\n\t\tfor(var t=0; t<searchTermsRegExps.length; t++) {\n\t\t\tmatch = false;\n\t\t\tif(options.field) {\n\t\t\t\tmatch = searchTermsRegExps[t].test(tiddler.getFieldString(options.field));\n\t\t\t} else {\n\t\t\t\t// Search title, tags and body\n\t\t\t\tif(contentTypeInfo.encoding === \"utf8\") {\n\t\t\t\t\tmatch = match || searchTermsRegExps[t].test(tiddler.fields.text);\n\t\t\t\t}\n\t\t\t\tvar tags = tiddler.fields.tags ? tiddler.fields.tags.join(\"\\0\") : \"\";\n\t\t\t\tmatch = match || searchTermsRegExps[t].test(tags) || searchTermsRegExps[t].test(tiddler.fields.title);\n\t\t\t}\n\t\t\tif(!match) {\n\t\t\t\treturn false;\n\t\t\t}\n\t\t}\n\t\treturn true;\n\t};\n\t// Loop through all the tiddlers doing the search\n\tvar results = [],\n\t\tsource = options.source || this.each;\n\tsource(function(tiddler,title) {\n\t\tif(searchTiddler(title) !== options.invert) {\n\t\t\tresults.push(title);\n\t\t}\n\t});\n\t// Remove any of the results we have to exclude\n\tif(options.exclude) {\n\t\tfor(t=0; t<options.exclude.length; t++) {\n\t\t\tvar p = results.indexOf(options.exclude[t]);\n\t\t\tif(p !== -1) {\n\t\t\t\tresults.splice(p,1);\n\t\t\t}\n\t\t}\n\t}\n\treturn results;\n};\n\n/*\nTrigger a load for a tiddler if it is skinny. Returns the text, or undefined if the tiddler is missing, null if the tiddler is being lazily loaded.\n*/\nexports.getTiddlerText = function(title,defaultText) {\n\tvar tiddler = this.getTiddler(title);\n\t// Return undefined if the tiddler isn't found\n\tif(!tiddler) {\n\t\treturn defaultText;\n\t}\n\tif(tiddler.fields.text !== undefined) {\n\t\t// Just return the text if we've got it\n\t\treturn tiddler.fields.text;\n\t} else {\n\t\t// Tell any listeners about the need to lazily load this tiddler\n\t\tthis.dispatchEvent(\"lazyLoad\",title);\n\t\t// Indicate that the text is being loaded\n\t\treturn null;\n\t}\n};\n\n/*\nRead an array of browser File objects, invoking callback(tiddlerFieldsArray) once they're all read\n*/\nexports.readFiles = function(files,callback) {\n\tvar result = [],\n\t\toutstanding = files.length;\n\tfor(var f=0; f<files.length; f++) {\n\t\tthis.readFile(files[f],function(tiddlerFieldsArray) {\n\t\t\tresult.push.apply(result,tiddlerFieldsArray);\n\t\t\tif(--outstanding === 0) {\n\t\t\t\tcallback(result);\n\t\t\t}\n\t\t});\n\t}\n\treturn files.length;\n};\n\n/*\nRead a browser File object, invoking callback(tiddlerFieldsArray) with an array of tiddler fields objects\n*/\nexports.readFile = function(file,callback) {\n\t// Get the type, falling back to the filename extension\n\tvar self = this,\n\t\ttype = file.type;\n\tif(type === \"\" || !type) {\n\t\tvar dotPos = file.name.lastIndexOf(\".\");\n\t\tif(dotPos !== -1) {\n\t\t\tvar fileExtensionInfo = $tw.config.fileExtensionInfo[file.name.substr(dotPos)];\n\t\t\tif(fileExtensionInfo) {\n\t\t\t\ttype = fileExtensionInfo.type;\n\t\t\t}\n\t\t}\n\t}\n\t// Figure out if we're reading a binary file\n\tvar contentTypeInfo = $tw.config.contentTypeInfo[type],\n\t\tisBinary = contentTypeInfo ? contentTypeInfo.encoding === \"base64\" : false;\n\t// Log some debugging information\n\tif($tw.log.IMPORT) {\n\t\tconsole.log(\"Importing file '\" + file.name + \"', type: '\" + type + \"', isBinary: \" + isBinary);\n\t}\n\t// Create the FileReader\n\tvar reader = new FileReader();\n\t// Onload\n\treader.onload = function(event) {\n\t\t// Deserialise the file contents\n\t\tvar text = event.target.result,\n\t\t\ttiddlerFields = {title: file.name || \"Untitled\", type: type};\n\t\t// Are we binary?\n\t\tif(isBinary) {\n\t\t\t// The base64 section starts after the first comma in the data URI\n\t\t\tvar commaPos = text.indexOf(\",\");\n\t\t\tif(commaPos !== -1) {\n\t\t\t\ttiddlerFields.text = text.substr(commaPos+1);\n\t\t\t\tcallback([tiddlerFields]);\n\t\t\t}\n\t\t} else {\n\t\t\t// Check whether this is an encrypted TiddlyWiki file\n\t\t\tvar encryptedJson = $tw.utils.extractEncryptedStoreArea(text);\n\t\t\tif(encryptedJson) {\n\t\t\t\t// If so, attempt to decrypt it with the current password\n\t\t\t\t$tw.utils.decryptStoreAreaInteractive(encryptedJson,function(tiddlers) {\n\t\t\t\t\tcallback(tiddlers);\n\t\t\t\t});\n\t\t\t} else {\n\t\t\t\t// Otherwise, just try to deserialise any tiddlers in the file\n\t\t\t\tcallback(self.deserializeTiddlers(type,text,tiddlerFields));\n\t\t\t}\n\t\t}\n\t};\n\t// Kick off the read\n\tif(isBinary) {\n\t\treader.readAsDataURL(file);\n\t} else {\n\t\treader.readAsText(file);\n\t}\n};\n\n/*\nFind any existing draft of a specified tiddler\n*/\nexports.findDraft = function(targetTitle) {\n\tvar draftTitle = undefined;\n\tthis.forEachTiddler({includeSystem: true},function(title,tiddler) {\n\t\tif(tiddler.fields[\"draft.title\"] && tiddler.fields[\"draft.of\"] === targetTitle) {\n\t\t\tdraftTitle = title;\n\t\t}\n\t});\n\treturn draftTitle;\n}\n\n/*\nCheck whether the specified draft tiddler has been modified\n*/\nexports.isDraftModified = function(title) {\n\tvar tiddler = this.getTiddler(title);\n\tif(!tiddler.isDraft()) {\n\t\treturn false;\n\t}\n\tvar ignoredFields = [\"created\", \"modified\", \"title\", \"draft.title\", \"draft.of\"],\n\t\torigTiddler = this.getTiddler(tiddler.fields[\"draft.of\"]);\n\tif(!origTiddler) {\n\t\treturn tiddler.fields.text !== \"\";\n\t}\n\treturn tiddler.fields[\"draft.title\"] !== tiddler.fields[\"draft.of\"] || !tiddler.isEqual(origTiddler,ignoredFields);\n};\n\n/*\nAdd a new record to the top of the history stack\ntitle: a title string or an array of title strings\nfromPageRect: page coordinates of the origin of the navigation\nhistoryTitle: title of history tiddler (defaults to $:/HistoryList)\n*/\nexports.addToHistory = function(title,fromPageRect,historyTitle) {\n\thistoryTitle = historyTitle || \"$:/HistoryList\";\n\tvar titles = $tw.utils.isArray(title) ? title : [title];\n\t// Add a new record to the top of the history stack\n\tvar historyList = this.getTiddlerData(historyTitle,[]);\n\t$tw.utils.each(titles,function(title) {\n\t\thistoryList.push({title: title, fromPageRect: fromPageRect});\n\t});\n\tthis.setTiddlerData(historyTitle,historyList,{\"current-tiddler\": titles[titles.length-1]});\n};\n\n/*\nInvoke the available upgrader modules\ntitles: array of tiddler titles to be processed\ntiddlers: hashmap by title of tiddler fields of pending import tiddlers. These can be modified by the upgraders. An entry with no fields indicates a tiddler that was pending import has been suppressed. When entries are added to the pending import the tiddlers hashmap may have entries that are not present in the titles array\nReturns a hashmap of messages keyed by tiddler title.\n*/\nexports.invokeUpgraders = function(titles,tiddlers) {\n\t// Collect up the available upgrader modules\n\tvar self = this;\n\tif(!this.upgraderModules) {\n\t\tthis.upgraderModules = [];\n\t\t$tw.modules.forEachModuleOfType(\"upgrader\",function(title,module) {\n\t\t\tif(module.upgrade) {\n\t\t\t\tself.upgraderModules.push(module);\n\t\t\t}\n\t\t});\n\t}\n\t// Invoke each upgrader in turn\n\tvar messages = {};\n\tfor(var t=0; t<this.upgraderModules.length; t++) {\n\t\tvar upgrader = this.upgraderModules[t],\n\t\t\tupgraderMessages = upgrader.upgrade(this,titles,tiddlers);\n\t\t$tw.utils.extend(messages,upgraderMessages);\n\t}\n\treturn messages;\n};\n\n})();\n",
"title": "$:/core/modules/wiki.js",
"type": "application/javascript",
"module-type": "wikimethod"
},
"$:/palettes/Blanca": {
"title": "$:/palettes/Blanca",
"name": "Blanca",
"description": "A clean white palette to let you focus",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #ffffff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #66cccc\ndownload-foreground: <<colour background>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333333\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #999999\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #ffffff\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #7897f3\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #ccc\nsidebar-foreground-shadow: rgba(255,255,255, 0.8)\nsidebar-foreground: #acacac\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: #ffffff\nsidebar-tab-background: <<colour tab-background>>\nsidebar-tab-border-selected: <<colour tab-border-selected>>\nsidebar-tab-border: <<colour tab-border>>\nsidebar-tab-divider: <<colour tab-divider>>\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: <<colour tab-foreground>>\nsidebar-tiddler-link-foreground-hover: #444444\nsidebar-tiddler-link-foreground: #7897f3\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: #fffffffff\ntab-background: #eeeeee\ntab-border-selected: #cccccc\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #ffeedd\ntag-foreground: #000\ntiddler-background: <<colour background>>\ntiddler-border: #eee\ntiddler-controls-foreground-hover: #888888\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #f8f8f8\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #f8f8f8\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #ff9900\ntoolbar-new-button:\ntoolbar-options-button:\ntoolbar-save-button:\ntoolbar-info-button:\ntoolbar-edit-button:\ntoolbar-close-button:\ntoolbar-delete-button:\ntoolbar-cancel-button:\ntoolbar-done-button:\nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/palettes/Blue": {
"title": "$:/palettes/Blue",
"name": "Blue",
"description": "A blue theme",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #fff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #34c734\ndownload-foreground: <<colour foreground>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333353\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #999999\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #ddddff\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #5778d8\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #ffffff\nsidebar-foreground-shadow: rgba(255,255,255, 0.8)\nsidebar-foreground: #acacac\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: <<colour page-background>>\nsidebar-tab-background: <<colour tab-background>>\nsidebar-tab-border-selected: <<colour tab-border-selected>>\nsidebar-tab-border: <<colour tab-border>>\nsidebar-tab-divider: <<colour tab-divider>>\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: <<colour tab-foreground>>\nsidebar-tiddler-link-foreground-hover: #444444\nsidebar-tiddler-link-foreground: #5959c0\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: <<colour background>>\ntab-background: #ccccdd\ntab-border-selected: #ccccdd\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #eeeeff\ntag-foreground: #000\ntiddler-background: <<colour background>>\ntiddler-border: <<colour background>>\ntiddler-controls-foreground-hover: #666666\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #ffffff\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #ffffff\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #5959c0\ntoolbar-new-button: #5eb95e\ntoolbar-options-button: rgb(128, 88, 165)\ntoolbar-save-button: #0e90d2\ntoolbar-info-button: #0e90d2\ntoolbar-edit-button: rgb(243, 123, 29)\ntoolbar-close-button: #dd514c\ntoolbar-delete-button: #dd514c\ntoolbar-cancel-button: rgb(243, 123, 29)\ntoolbar-done-button: #5eb95e\nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/palettes/Muted": {
"title": "$:/palettes/Muted",
"name": "Muted",
"description": "Bright tiddlers on a muted background",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #ffffff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #34c734\ndownload-foreground: <<colour background>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333333\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #bbb\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #6f6f70\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #29a6ee\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #c2c1c2\nsidebar-foreground-shadow: rgba(255,255,255,0)\nsidebar-foreground: #d3d2d4\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: #6f6f70\nsidebar-tab-background: #666667\nsidebar-tab-border-selected: #999\nsidebar-tab-border: #515151\nsidebar-tab-divider: #999\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: #999\nsidebar-tiddler-link-foreground-hover: #444444\nsidebar-tiddler-link-foreground: #d1d0d2\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: #ffffff\ntab-background: #d8d8d8\ntab-border-selected: #d8d8d8\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #d5ad34\ntag-foreground: #ffffff\ntiddler-background: <<colour background>>\ntiddler-border: <<colour background>>\ntiddler-controls-foreground-hover: #888888\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #f8f8f8\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #f8f8f8\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #182955\ntoolbar-new-button: \ntoolbar-options-button: \ntoolbar-save-button: \ntoolbar-info-button: \ntoolbar-edit-button: \ntoolbar-close-button: \ntoolbar-delete-button: \ntoolbar-cancel-button: \ntoolbar-done-button: \nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/palettes/Contrast": {
"title": "$:/palettes/Contrast",
"name": "Contrast",
"description": "High contrast and unambiguous",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #ffffff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #34c734\ndownload-foreground: <<colour background>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333333\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #999999\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #000000\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #5778d8\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #ffffff\nsidebar-foreground-shadow: rgba(255,0,0, 0.5)\nsidebar-foreground: #ffffff\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: #ececec\nsidebar-tab-background: <<colour tab-background>>\nsidebar-tab-border-selected: <<colour tab-border-selected>>\nsidebar-tab-border: <<colour tab-border>>\nsidebar-tab-divider: <<colour tab-divider>>\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: <<colour tab-foreground>>\nsidebar-tiddler-link-foreground-hover: #444444\nsidebar-tiddler-link-foreground: #999999\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: #ffffff\ntab-background: #d8d8d8\ntab-border-selected: #d8d8d8\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #d5ad34\ntag-foreground: #ffffff\ntiddler-background: <<colour background>>\ntiddler-border: <<colour background>>\ntiddler-controls-foreground-hover: #888888\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #f8f8f8\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #f8f8f8\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #182955\ntoolbar-new-button:\ntoolbar-options-button:\ntoolbar-save-button:\ntoolbar-info-button:\ntoolbar-edit-button:\ntoolbar-close-button:\ntoolbar-delete-button:\ntoolbar-cancel-button:\ntoolbar-done-button:\nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/palettes/Rocker": {
"title": "$:/palettes/Rocker",
"name": "Rocker",
"description": "A dark theme",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #ffffff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #34c734\ndownload-foreground: <<colour background>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333333\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #999999\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #000\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #cc0000\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #ffffff\nsidebar-foreground-shadow: rgba(255,255,255, 0.0)\nsidebar-foreground: #acacac\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: #000\nsidebar-tab-background: <<colour tab-background>>\nsidebar-tab-border-selected: <<colour tab-border-selected>>\nsidebar-tab-border: <<colour tab-border>>\nsidebar-tab-divider: <<colour tab-divider>>\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: <<colour tab-foreground>>\nsidebar-tiddler-link-foreground-hover: #ffbb99\nsidebar-tiddler-link-foreground: #cc0000\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: #ffffff\ntab-background: #d8d8d8\ntab-border-selected: #d8d8d8\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #ffbb99\ntag-foreground: #000\ntiddler-background: <<colour background>>\ntiddler-border: <<colour background>>\ntiddler-controls-foreground-hover: #888888\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #f8f8f8\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #f8f8f8\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #cc0000\ntoolbar-new-button:\ntoolbar-options-button:\ntoolbar-save-button:\ntoolbar-info-button:\ntoolbar-edit-button:\ntoolbar-close-button:\ntoolbar-delete-button:\ntoolbar-cancel-button:\ntoolbar-done-button:\nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/palettes/Vanilla": {
"title": "$:/palettes/Vanilla",
"name": "Vanilla",
"description": "Pale and unobtrusive",
"tags": "$:/tags/Palette",
"type": "application/x-tiddler-dictionary",
"text": "alert-background: #ffe476\nalert-border: #b99e2f\nalert-highlight: #881122\nalert-muted-foreground: #b99e2f\nbackground: #ffffff\nblockquote-bar: <<colour muted-foreground>>\ncode-background: #f7f7f9\ncode-border: #e1e1e8\ncode-foreground: #dd1144\ndirty-indicator: #ff0000\ndownload-background: #34c734\ndownload-foreground: <<colour background>>\ndragger-background: <<colour foreground>>\ndragger-foreground: <<colour background>>\ndropdown-background: <<colour background>>\ndropdown-border: <<colour muted-foreground>>\ndropdown-tab-background-selected: #fff\ndropdown-tab-background: #ececec\ndropzone-background: rgba(0,200,0,0.7)\nexternal-link-background-hover: inherit\nexternal-link-background-visited: inherit\nexternal-link-background: inherit\nexternal-link-foreground-hover: inherit\nexternal-link-foreground-visited: #0000aa\nexternal-link-foreground: #0000ee\nforeground: #333333\nmessage-background: #ecf2ff\nmessage-border: #cfd6e6\nmessage-foreground: #547599\nmodal-backdrop: <<colour foreground>>\nmodal-background: <<colour background>>\nmodal-border: #999999\nmodal-footer-background: #f5f5f5\nmodal-footer-border: #dddddd\nmodal-header-border: #eeeeee\nmuted-foreground: #bbb\nnotification-background: #ffffdd\nnotification-border: #999999\npage-background: #ececec\npre-background: #f5f5f5\npre-border: #cccccc\nprimary: #5778d8\nsidebar-button-foreground: <<colour foreground>>\nsidebar-controls-foreground-hover: #000000\nsidebar-controls-foreground: #aaaaaa\nsidebar-foreground-shadow: rgba(255,255,255, 0.8)\nsidebar-foreground: #acacac\nsidebar-muted-foreground-hover: #444444\nsidebar-muted-foreground: #c0c0c0\nsidebar-tab-background-selected: #ececec\nsidebar-tab-background: <<colour tab-background>>\nsidebar-tab-border-selected: <<colour tab-border-selected>>\nsidebar-tab-border: <<colour tab-border>>\nsidebar-tab-divider: #e4e4e4\nsidebar-tab-foreground-selected: \nsidebar-tab-foreground: <<colour tab-foreground>>\nsidebar-tiddler-link-foreground-hover: #444444\nsidebar-tiddler-link-foreground: #999999\nstatic-alert-foreground: #aaaaaa\ntab-background-selected: #ffffff\ntab-background: #d8d8d8\ntab-border-selected: #d8d8d8\ntab-border: #cccccc\ntab-divider: #d8d8d8\ntab-foreground-selected: <<colour tab-foreground>>\ntab-foreground: #666666\ntable-border: #dddddd\ntable-footer-background: #a8a8a8\ntable-header-background: #f0f0f0\ntag-background: #ec6\ntag-foreground: #ffffff\ntiddler-background: <<colour background>>\ntiddler-border: <<colour background>>\ntiddler-controls-foreground-hover: #888888\ntiddler-controls-foreground-selected: #444444\ntiddler-controls-foreground: #cccccc\ntiddler-editor-background: #f8f8f8\ntiddler-editor-border-image: #ffffff\ntiddler-editor-border: #cccccc\ntiddler-editor-fields-even: #e0e8e0\ntiddler-editor-fields-odd: #f0f4f0\ntiddler-info-background: #f8f8f8\ntiddler-info-border: #dddddd\ntiddler-info-tab-background: #f8f8f8\ntiddler-link-background: <<colour background>>\ntiddler-link-foreground: <<colour primary>>\ntiddler-subtitle-foreground: #c0c0c0\ntiddler-title-foreground: #182955\ntoolbar-new-button:\ntoolbar-options-button:\ntoolbar-save-button:\ntoolbar-info-button:\ntoolbar-edit-button:\ntoolbar-close-button:\ntoolbar-delete-button:\ntoolbar-cancel-button:\ntoolbar-done-button:\nuntagged-background: #999999\nvery-muted-foreground: #888888\n"
},
"$:/core/readme": {
"title": "$:/core/readme",
"text": "This plugin contains TiddlyWiki's core components, comprising:\n\n* JavaScript code modules\n* Icons\n* Templates needed to create TiddlyWiki's user interface\n* British English (''en-GB'') translations of the localisable strings used by the core\n"
},
"$:/core/templates/MOTW.html": {
"title": "$:/core/templates/MOTW.html",
"text": "\\rules only filteredtranscludeinline transcludeinline entity\n<!-- The following comment is called a MOTW comment and is necessary for the TiddlyIE Internet Explorer extension -->\n<!-- saved from url=(0021)http://tiddlywiki.com --> "
},
"$:/core/templates/alltiddlers.template.html": {
"title": "$:/core/templates/alltiddlers.template.html",
"type": "text/vnd.tiddlywiki-html",
"text": "<!-- This template is provided for backwards compatibility with older versions of TiddlyWiki -->\n\n<$set name=\"exportFilter\" value=\"[!is[system]sort[title]]\">\n\n{{$:/core/templates/exporters/StaticRiver}}\n\n</$set>\n"
},
"$:/core/templates/canonical-uri-external-image": {
"title": "$:/core/templates/canonical-uri-external-image",
"text": "<!--\n\nThis template is used to assign the ''_canonical_uri'' field to external images.\n\nChange the `./images/` part to a different base URI. The URI can be relative or absolute.\n\n-->\n./images/<$view field=\"title\" format=\"doubleurlencoded\"/>"
},
"$:/core/templates/css-tiddler": {
"title": "$:/core/templates/css-tiddler",
"text": "<!--\n\nThis template is used for saving CSS tiddlers as a style tag with data attributes representing the tiddler fields.\n\n-->`<style`<$fields template=' data-tiddler-$name$=\"$encoded_value$\"'></$fields>` type=\"text/css\">`<$view field=\"text\" format=\"text\" />`</style>`"
},
"$:/core/templates/exporters/CsvFile": {
"title": "$:/core/templates/exporters/CsvFile",
"tags": "$:/tags/Exporter",
"description": "{{$:/language/Exporters/CsvFile}}",
"extension": ".csv",
"text": "\\define renderContent()\n<$text text=<<csvtiddlers filter:\"\"\"$(exportFilter)$\"\"\" format:\"quoted-comma-sep\">>/>\n\\end\n<<renderContent>>\n"
},
"$:/core/templates/exporters/JsonFile": {
"title": "$:/core/templates/exporters/JsonFile",
"tags": "$:/tags/Exporter",
"description": "{{$:/language/Exporters/JsonFile}}",
"extension": ".json",
"text": "\\define renderContent()\n<$text text=<<jsontiddlers filter:\"\"\"$(exportFilter)$\"\"\">>/>\n\\end\n<<renderContent>>\n"
},
"$:/core/templates/exporters/StaticRiver": {
"title": "$:/core/templates/exporters/StaticRiver",
"tags": "$:/tags/Exporter",
"description": "{{$:/language/Exporters/StaticRiver}}",
"extension": ".html",
"text": "\\define tv-wikilink-template() #$uri_encoded$\n\\define tv-config-toolbar-icons() no\n\\define tv-config-toolbar-text() no\n\\define tv-config-toolbar-class() tc-btn-invisible\n\\rules only filteredtranscludeinline transcludeinline\n<!doctype html>\n<html>\n<head>\n<meta http-equiv=\"Content-Type\" content=\"text/html;charset=utf-8\" />\n<meta name=\"generator\" content=\"TiddlyWiki\" />\n<meta name=\"tiddlywiki-version\" content=\"{{$:/core/templates/version}}\" />\n<meta name=\"format-detection\" content=\"telephone=no\">\n<link id=\"faviconLink\" rel=\"shortcut icon\" href=\"favicon.ico\">\n<title>{{$:/core/wiki/title}}</title>\n<div id=\"styleArea\">\n{{$:/boot/boot.css||$:/core/templates/css-tiddler}}\n</div>\n<style type=\"text/css\">\n{{$:/core/ui/PageStylesheet||$:/core/templates/wikified-tiddler}}\n</style>\n</head>\n<body class=\"tc-body\">\n{{$:/StaticBanner||$:/core/templates/html-tiddler}}\n<section class=\"tc-story-river\">\n{{$:/core/templates/exporters/StaticRiver/Content||$:/core/templates/html-tiddler}}\n</section>\n</body>\n</html>\n"
},
"$:/core/templates/exporters/StaticRiver/Content": {
"title": "$:/core/templates/exporters/StaticRiver/Content",
"text": "\\define renderContent()\n{{{ $(exportFilter)$ ||$:/core/templates/static-tiddler}}}\n\\end\n<$importvariables filter=\"[[$:/core/ui/PageMacros]] [all[shadows+tiddlers]tag[$:/tags/Macro]!has[draft.of]]\">\n<<renderContent>>\n</$importvariables>\n"
},
"$:/core/templates/exporters/TidFile": {
"title": "$:/core/templates/exporters/TidFile",
"tags": "$:/tags/Exporter",
"description": "{{$:/language/Exporters/TidFile}}",
"extension": ".tid",
"text": "\\define renderContent()\n{{{ $(exportFilter)$ +[limit[1]] ||$:/core/templates/tid-tiddler}}}\n\\end\n<$importvariables filter=\"[[$:/core/ui/PageMacros]] [all[shadows+tiddlers]tag[$:/tags/Macro]!has[draft.of]]\"><<renderContent>></$importvariables>"
},
"$:/core/templates/html-div-tiddler": {
"title": "$:/core/templates/html-div-tiddler",
"text": "<!--\n\nThis template is used for saving tiddlers as an HTML DIV tag with attributes representing the tiddler fields.\n\n-->`<div`<$fields template=' $name$=\"$encoded_value$\"'></$fields>`>\n<pre>`<$view field=\"text\" format=\"htmlencoded\" />`</pre>\n</div>`\n"
},
"$:/core/templates/html-tiddler": {
"title": "$:/core/templates/html-tiddler",
"text": "<!--\n\nThis template is used for saving tiddlers as raw HTML\n\n--><$view field=\"text\" format=\"htmlwikified\" />"
},
"$:/core/templates/javascript-tiddler": {
"title": "$:/core/templates/javascript-tiddler",
"text": "<!--\n\nThis template is used for saving JavaScript tiddlers as a script tag with data attributes representing the tiddler fields.\n\n-->`<script`<$fields template=' data-tiddler-$name$=\"$encoded_value$\"'></$fields>` type=\"text/javascript\">`<$view field=\"text\" format=\"text\" />`</script>`"
},
"$:/core/templates/module-tiddler": {
"title": "$:/core/templates/module-tiddler",
"text": "<!--\n\nThis template is used for saving JavaScript tiddlers as a script tag with data attributes representing the tiddler fields. The body of the tiddler is wrapped in a call to the `$tw.modules.define` function in order to define the body of the tiddler as a module\n\n-->`<script`<$fields template=' data-tiddler-$name$=\"$encoded_value$\"'></$fields>` type=\"text/javascript\" data-module=\"yes\">$tw.modules.define(\"`<$view field=\"title\" format=\"jsencoded\" />`\",\"`<$view field=\"module-type\" format=\"jsencoded\" />`\",function(module,exports,require) {`<$view field=\"text\" format=\"text\" />`});\n</script>`"
},
"$:/core/templates/plain-text-tiddler": {
"title": "$:/core/templates/plain-text-tiddler",
"text": "<$view field=\"text\" format=\"text\" />"
},
"$:/core/save/all": {
"title": "$:/core/save/all",
"text": "\\define saveTiddlerFilter()\n[is[tiddler]] -[prefix[$:/state/popup/]] -[[$:/HistoryList]] -[[$:/boot/boot.css]] -[type[application/javascript]library[yes]] -[[$:/boot/boot.js]] -[[$:/boot/bootprefix.js]] +[sort[title]]\n\\end\n{{$:/core/templates/tiddlywiki5.html}}\n"
},
"$:/core/save/empty": {
"title": "$:/core/save/empty",
"text": "\\define saveTiddlerFilter()\n[is[system]] -[prefix[$:/state/popup/]] -[[$:/boot/boot.css]] -[type[application/javascript]library[yes]] -[[$:/boot/boot.js]] -[[$:/boot/bootprefix.js]] +[sort[title]]\n\\end\n{{$:/core/templates/tiddlywiki5.html}}\n"
},
"$:/core/save/lazy-images": {
"title": "$:/core/save/lazy-images",
"text": "\\define saveTiddlerFilter()\n[is[tiddler]] -[prefix[$:/state/popup/]] -[[$:/HistoryList]] -[[$:/boot/boot.css]] -[type[application/javascript]library[yes]] -[[$:/boot/boot.js]] -[[$:/boot/bootprefix.js]] -[!is[system]is[image]] +[sort[title]] \n\\end\n{{$:/core/templates/tiddlywiki5.html}}\n"
},
"$:/core/templates/split-recipe": {
"title": "$:/core/templates/split-recipe",
"text": "<$list filter=\"[!is[system]]\">\ntiddler: <$view field=\"title\" format=\"urlencoded\"/>.tid\n</$list>\n"
},
"$:/core/templates/static-tiddler": {
"title": "$:/core/templates/static-tiddler",
"text": "<a name=<<currentTiddler>>>\n<$transclude tiddler=\"$:/core/ui/ViewTemplate\"/>\n</a>"
},
"$:/core/templates/static.area": {
"title": "$:/core/templates/static.area",
"text": "<$reveal type=\"nomatch\" state=\"$:/isEncrypted\" text=\"yes\">\n{{$:/core/templates/static.content||$:/core/templates/html-tiddler}}\n</$reveal>\n<$reveal type=\"match\" state=\"$:/isEncrypted\" text=\"yes\">\nThis file contains an encrypted ~TiddlyWiki. Enable ~JavaScript and enter the decryption password when prompted.\n</$reveal>\n"
},
"$:/core/templates/static.content": {
"title": "$:/core/templates/static.content",
"type": "text/vnd.tiddlywiki",
"text": "<!-- For Google, and people without JavaScript-->\nThis [[TiddlyWiki|http://tiddlywiki.com]] contains the following tiddlers:\n\n<ul>\n<$list filter=<<saveTiddlerFilter>>>\n<li><$view field=\"title\" format=\"text\"></$view></li>\n</$list>\n</ul>\n"
},
"$:/core/templates/static.template.css": {
"title": "$:/core/templates/static.template.css",
"text": "{{$:/boot/boot.css||$:/core/templates/plain-text-tiddler}}\n\n{{$:/core/ui/PageStylesheet||$:/core/templates/wikified-tiddler}}\n"
},
"$:/core/templates/static.template.html": {
"title": "$:/core/templates/static.template.html",
"type": "text/vnd.tiddlywiki-html",
"text": "\\define tv-wikilink-template() static/$uri_doubleencoded$.html\n\\define tv-config-toolbar-icons() no\n\\define tv-config-toolbar-text() no\n\\define tv-config-toolbar-class() tc-btn-invisible\n\\rules only filteredtranscludeinline transcludeinline\n<!doctype html>\n<html>\n<head>\n<meta http-equiv=\"Content-Type\" content=\"text/html;charset=utf-8\" />\n<meta name=\"generator\" content=\"TiddlyWiki\" />\n<meta name=\"tiddlywiki-version\" content=\"{{$:/core/templates/version}}\" />\n<meta name=\"format-detection\" content=\"telephone=no\">\n<link id=\"faviconLink\" rel=\"shortcut icon\" href=\"favicon.ico\">\n<title>{{$:/core/wiki/title}}</title>\n<div id=\"styleArea\">\n{{$:/boot/boot.css||$:/core/templates/css-tiddler}}\n</div>\n<style type=\"text/css\">\n{{$:/core/ui/PageStylesheet||$:/core/templates/wikified-tiddler}}\n</style>\n</head>\n<body class=\"tc-body\">\n{{$:/StaticBanner||$:/core/templates/html-tiddler}}\n{{$:/core/ui/PageTemplate||$:/core/templates/html-tiddler}}\n</body>\n</html>\n"
},
"$:/core/templates/static.tiddler.html": {
"title": "$:/core/templates/static.tiddler.html",
"text": "\\define tv-wikilink-template() $uri_doubleencoded$.html\n\\define tv-config-toolbar-icons() no\n\\define tv-config-toolbar-text() no\n\\define tv-config-toolbar-class() tc-btn-invisible\n`<!doctype html>\n<html>\n<head>\n<meta http-equiv=\"Content-Type\" content=\"text/html;charset=utf-8\" />\n<meta name=\"generator\" content=\"TiddlyWiki\" />\n<meta name=\"tiddlywiki-version\" content=\"`{{$:/core/templates/version}}`\" />\n<meta name=\"format-detection\" content=\"telephone=no\">\n<link id=\"faviconLink\" rel=\"shortcut icon\" href=\"favicon.ico\">\n<link rel=\"stylesheet\" href=\"static.css\">\n<title>`{{$:/core/wiki/title}}`</title>\n</head>\n<body class=\"tc-body\">\n`{{$:/StaticBanner||$:/core/templates/html-tiddler}}`\n<section class=\"tc-story-river\">\n`<$importvariables filter=\"[[$:/core/ui/PageMacros]] [all[shadows+tiddlers]tag[$:/tags/Macro]!has[draft.of]]\">\n<$view tiddler=\"$:/core/ui/ViewTemplate\" format=\"htmlwikified\"/>\n</$importvariables>`\n</section>\n</body>\n</html>\n`"
},
"$:/core/templates/store.area.template.html": {
"title": "$:/core/templates/store.area.template.html",
"text": "<$reveal type=\"nomatch\" state=\"$:/isEncrypted\" text=\"yes\">\n`<div id=\"storeArea\" style=\"display:none;\">`\n<$list filter=<<saveTiddlerFilter>> template=\"$:/core/templates/html-div-tiddler\"/>\n`</div>`\n</$reveal>\n<$reveal type=\"match\" state=\"$:/isEncrypted\" text=\"yes\">\n`<!--~~ Encrypted tiddlers ~~-->`\n`<pre id=\"encryptedStoreArea\" type=\"text/plain\" style=\"display:none;\">`\n<$encrypt filter=<<saveTiddlerFilter>>/>\n`</pre>`\n</$reveal>"
},
"$:/core/templates/tid-tiddler": {
"title": "$:/core/templates/tid-tiddler",
"text": "<!--\n\nThis template is used for saving tiddlers in TiddlyWeb *.tid format\n\n--><$fields exclude='text bag' template='$name$: $value$\n'></$fields>`\n`<$view field=\"text\" format=\"text\" />"
},
"$:/core/templates/tiddler-metadata": {
"title": "$:/core/templates/tiddler-metadata",
"text": "<!--\n\nThis template is used for saving tiddler metadata *.meta files\n\n--><$fields exclude='text bag' template='$name$: $value$\n'></$fields>"
},
"$:/core/templates/tiddlywiki5.html": {
"title": "$:/core/templates/tiddlywiki5.html",
"text": "\\rules only filteredtranscludeinline transcludeinline\n<!doctype html>\n{{$:/core/templates/MOTW.html}}<html>\n<head>\n<meta http-equiv=\"X-UA-Compatible\" content=\"IE=edge\" />\t\t<!-- Force IE standards mode for Intranet and HTA - should be the first meta -->\n<meta http-equiv=\"Content-Type\" content=\"text/html;charset=utf-8\" />\n<meta name=\"application-name\" content=\"TiddlyWiki\" />\n<meta name=\"generator\" content=\"TiddlyWiki\" />\n<meta name=\"tiddlywiki-version\" content=\"{{$:/core/templates/version}}\" />\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\" />\n<meta name=\"apple-mobile-web-app-capable\" content=\"yes\" />\n<meta name=\"apple-mobile-web-app-status-bar-style\" content=\"black-translucent\" />\n<meta name=\"format-detection\" content=\"telephone=no\" />\n<meta name=\"copyright\" content=\"{{$:/core/copyright.txt}}\" />\n<link id=\"faviconLink\" rel=\"shortcut icon\" href=\"favicon.ico\">\n<title>{{$:/core/wiki/title}}</title>\n<!--~~ This is a Tiddlywiki file. The points of interest in the file are marked with this pattern ~~-->\n\n<!--~~ Raw markup ~~-->\n{{{ [all[shadows+tiddlers]tag[$:/core/wiki/rawmarkup]] [all[shadows+tiddlers]tag[$:/tags/RawMarkup]] ||$:/core/templates/plain-text-tiddler}}}\n</head>\n<body class=\"tc-body\">\n<!--~~ Static styles ~~-->\n<div id=\"styleArea\">\n{{$:/boot/boot.css||$:/core/templates/css-tiddler}}\n</div>\n<!--~~ Static content for Google and browsers without JavaScript ~~-->\n<noscript>\n<div id=\"splashArea\">\n{{$:/core/templates/static.area}}\n</div>\n</noscript>\n<!--~~ Ordinary tiddlers ~~-->\n{{$:/core/templates/store.area.template.html}}\n<!--~~ Library modules ~~-->\n<div id=\"libraryModules\" style=\"display:none;\">\n{{{ [is[system]type[application/javascript]library[yes]] ||$:/core/templates/javascript-tiddler}}}\n</div>\n<!--~~ Boot kernel prologue ~~-->\n<div id=\"bootKernelPrefix\" style=\"display:none;\">\n{{ $:/boot/bootprefix.js ||$:/core/templates/javascript-tiddler}}\n</div>\n<!--~~ Boot kernel ~~-->\n<div id=\"bootKernel\" style=\"display:none;\">\n{{ $:/boot/boot.js ||$:/core/templates/javascript-tiddler}}\n</div>\n</body>\n</html>\n"
},
"$:/core/templates/version": {
"title": "$:/core/templates/version",
"text": "<<version>>"
},
"$:/core/templates/wikified-tiddler": {
"title": "$:/core/templates/wikified-tiddler",
"text": "<$transclude />"
},
"$:/core/ui/AdvancedSearch/Filter": {
"title": "$:/core/ui/AdvancedSearch/Filter",
"tags": "$:/tags/AdvancedSearch",
"caption": "{{$:/language/Search/Filter/Caption}}",
"text": "\\define lingo-base() $:/language/Search/\n<$linkcatcher to=\"$:/temp/advancedsearch\">\n\n<<lingo Filter/Hint>>\n\n<div class=\"tc-search tc-advanced-search\">\n<$edit-text tiddler=\"$:/temp/advancedsearch\" type=\"search\" tag=\"input\"/>\n<$button popup=<<qualify \"$:/state/filterDropdown\">> class=\"tc-btn-invisible\">\n{{$:/core/images/down-arrow}}\n</$button>\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" $field=\"text\" $value=\"\"/>\n{{$:/core/images/close-button}}\n</$button>\n<$macrocall $name=\"exportButton\" exportFilter={{$:/temp/advancedsearch}} lingoBase=\"$:/language/Buttons/ExportTiddlers/\"/>\n</$reveal>\n</div>\n\n<div class=\"tc-block-dropdown-wrapper\">\n<$reveal state=<<qualify \"$:/state/filterDropdown\">> type=\"nomatch\" text=\"\" default=\"\">\n<div class=\"tc-block-dropdown tc-edit-type-dropdown\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/Filter]]\"><$link to={{!!filter}}><$transclude field=\"description\"/></$link>\n</$list>\n</div>\n</$reveal>\n</div>\n\n</$linkcatcher>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$set name=\"resultCount\" value=\"\"\"<$count filter={{$:/temp/advancedsearch}}/>\"\"\">\n<div class=\"tc-search-results\">\n<<lingo Filter/Matches>>\n<$list filter={{$:/temp/advancedsearch}} template=\"$:/core/ui/ListItemTemplate\"/>\n</div>\n</$set>\n</$reveal>\n"
},
"$:/core/ui/AdvancedSearch/Shadows": {
"title": "$:/core/ui/AdvancedSearch/Shadows",
"tags": "$:/tags/AdvancedSearch",
"caption": "{{$:/language/Search/Shadows/Caption}}",
"text": "\\define lingo-base() $:/language/Search/\n<$linkcatcher to=\"$:/temp/advancedsearch\">\n\n<<lingo Shadows/Hint>>\n\n<div class=\"tc-search\">\n<$edit-text tiddler=\"$:/temp/advancedsearch\" type=\"search\" tag=\"input\"/>\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" $field=\"text\" $value=\"\"/>\n{{$:/core/images/close-button}}\n</$button>\n</$reveal>\n</div>\n\n</$linkcatcher>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n\n<$set name=\"resultCount\" value=\"\"\"<$count filter=\"[all[shadows]search{$:/temp/advancedsearch}] -[[$:/temp/advancedsearch]]\"/>\"\"\">\n\n<div class=\"tc-search-results\">\n\n<<lingo Shadows/Matches>>\n\n<$list filter=\"[all[shadows]search{$:/temp/advancedsearch}sort[title]limit[250]] -[[$:/temp/advancedsearch]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n\n</div>\n\n</$set>\n\n</$reveal>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"match\" text=\"\">\n\n</$reveal>\n"
},
"$:/core/ui/AdvancedSearch/Standard": {
"title": "$:/core/ui/AdvancedSearch/Standard",
"tags": "$:/tags/AdvancedSearch",
"caption": "{{$:/language/Search/Standard/Caption}}",
"text": "\\define lingo-base() $:/language/Search/\n<$linkcatcher to=\"$:/temp/advancedsearch\">\n\n<<lingo Standard/Hint>>\n\n<div class=\"tc-search\">\n<$edit-text tiddler=\"$:/temp/advancedsearch\" type=\"search\" tag=\"input\"/>\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" $field=\"text\" $value=\"\"/>\n{{$:/core/images/close-button}}\n</$button>\n</$reveal>\n</div>\n\n</$linkcatcher>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$set name=\"searchTiddler\" value=\"$:/temp/advancedsearch\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]butfirst[]limit[1]]\" emptyMessage=\"\"\"\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]]\">\n<$transclude/>\n</$list>\n\"\"\">\n<$macrocall $name=\"tabs\" tabsList=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]]\" default={{$:/config/SearchResults/Default}}/>\n</$list>\n</$set>\n</$reveal>\n"
},
"$:/core/ui/AdvancedSearch/System": {
"title": "$:/core/ui/AdvancedSearch/System",
"tags": "$:/tags/AdvancedSearch",
"caption": "{{$:/language/Search/System/Caption}}",
"text": "\\define lingo-base() $:/language/Search/\n<$linkcatcher to=\"$:/temp/advancedsearch\">\n\n<<lingo System/Hint>>\n\n<div class=\"tc-search\">\n<$edit-text tiddler=\"$:/temp/advancedsearch\" type=\"search\" tag=\"input\"/>\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" $field=\"text\" $value=\"\"/>\n{{$:/core/images/close-button}}\n</$button>\n</$reveal>\n</div>\n\n</$linkcatcher>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"nomatch\" text=\"\">\n\n<$set name=\"resultCount\" value=\"\"\"<$count filter=\"[is[system]search{$:/temp/advancedsearch}] -[[$:/temp/advancedsearch]]\"/>\"\"\">\n\n<div class=\"tc-search-results\">\n\n<<lingo System/Matches>>\n\n<$list filter=\"[is[system]search{$:/temp/advancedsearch}sort[title]limit[250]] -[[$:/temp/advancedsearch]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n\n</div>\n\n</$set>\n\n</$reveal>\n\n<$reveal state=\"$:/temp/advancedsearch\" type=\"match\" text=\"\">\n\n</$reveal>\n"
},
"$:/AdvancedSearch": {
"title": "$:/AdvancedSearch",
"text": "<div class=\"tc-advanced-search\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/AdvancedSearch]!has[draft.of]]\" \"$:/core/ui/AdvancedSearch/System\">>\n</div>\n"
},
"$:/core/ui/AlertTemplate": {
"title": "$:/core/ui/AlertTemplate",
"text": "<div class=\"tc-alert\">\n<div class=\"tc-alert-toolbar\">\n<$button message=\"tm-delete-tiddler\" class=\"tc-btn-invisible\">\n{{$:/core/images/delete-button}}</$button>\n</div>\n<div class=\"tc-alert-subtitle\">\n<$view field=\"component\"/> - <$view field=\"modified\" format=\"date\" template=\"0hh:0mm:0ss DD MM YYYY\"/> <$reveal type=\"nomatch\" state=\"!!count\" text=\"\"><span class=\"tc-alert-highlight\">(count: <$view field=\"count\"/>)</span></$reveal>\n</div>\n<div class=\"tc-alert-body\">\n\n<$transclude/>\n\n</div>\n</div>\n"
},
"$:/core/ui/BinaryWarning": {
"title": "$:/core/ui/BinaryWarning",
"text": "\\define lingo-base() $:/language/BinaryWarning/\n<div class=\"tc-binary-warning\">\n\n<<lingo Prompt>>\n\n</div>\n"
},
"$:/core/ui/ControlPanel/Advanced": {
"title": "$:/core/ui/ControlPanel/Advanced",
"tags": "$:/tags/ControlPanel/Info",
"caption": "{{$:/language/ControlPanel/Advanced/Caption}}",
"text": "{{$:/language/ControlPanel/Advanced/Hint}}\n\n<div class=\"tc-control-panel\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/ControlPanel/Advanced]!has[draft.of]]\" \"$:/core/ui/ControlPanel/TiddlerFields\">>\n</div>\n"
},
"$:/core/ui/ControlPanel/Appearance": {
"title": "$:/core/ui/ControlPanel/Appearance",
"tags": "$:/tags/ControlPanel",
"caption": "{{$:/language/ControlPanel/Appearance/Caption}}",
"text": "{{$:/language/ControlPanel/Appearance/Hint}}\n\n<div class=\"tc-control-panel\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/ControlPanel/Appearance]!has[draft.of]]\" \"$:/core/ui/ControlPanel/Theme\">>\n</div>\n"
},
"$:/core/ui/ControlPanel/Basics": {
"title": "$:/core/ui/ControlPanel/Basics",
"tags": "$:/tags/ControlPanel/Info",
"caption": "{{$:/language/ControlPanel/Basics/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Basics/\n\n\\define show-filter-count(filter)\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" $value=\"\"\"$filter$\"\"\"/>\n<$action-setfield $tiddler=\"$:/state/tab--1498284803\" $value=\"$:/core/ui/AdvancedSearch/Filter\"/>\n<$action-navigate $to=\"$:/AdvancedSearch\"/>\n''<$count filter=\"\"\"$filter$\"\"\"/>''\n{{$:/core/images/advanced-search-button}}\n</$button>\n\\end\n\n|<<lingo Version/Prompt>> |''<<version>>'' |\n|<$link to=\"$:/SiteTitle\"><<lingo Title/Prompt>></$link> |<$edit-text tiddler=\"$:/SiteTitle\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/SiteSubtitle\"><<lingo Subtitle/Prompt>></$link> |<$edit-text tiddler=\"$:/SiteSubtitle\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/status/UserName\"><<lingo Username/Prompt>></$link> |<$edit-text tiddler=\"$:/status/UserName\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/config/AnimationDuration\"><<lingo AnimDuration/Prompt>></$link> |<$edit-text tiddler=\"$:/config/AnimationDuration\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/DefaultTiddlers\"><<lingo DefaultTiddlers/Prompt>></$link> |<<lingo DefaultTiddlers/TopHint>><br> <$edit-text tag=\"textarea\" tiddler=\"$:/DefaultTiddlers\"/><br>//<<lingo DefaultTiddlers/BottomHint>>// |\n|<$link to=\"$:/config/NewJournal/Title\"><<lingo NewJournal/Title/Prompt>></$link> |<$edit-text tiddler=\"$:/config/NewJournal/Title\" default=\"\" tag=\"input\"/> |\n|<$link to=\"$:/config/NewJournal/Tags\"><<lingo NewJournal/Tags/Prompt>></$link> |<$edit-text tiddler=\"$:/config/NewJournal/Tags\" default=\"\" tag=\"input\"/> |\n|<<lingo Language/Prompt>> |{{$:/snippets/minilanguageswitcher}} |\n|<<lingo Tiddlers/Prompt>> |<<show-filter-count \"[!is[system]sort[title]]\">> |\n|<<lingo Tags/Prompt>> |<<show-filter-count \"[tags[]sort[title]]\">> |\n|<<lingo SystemTiddlers/Prompt>> |<<show-filter-count \"[is[system]sort[title]]\">> |\n|<<lingo ShadowTiddlers/Prompt>> |<<show-filter-count \"[all[shadows]sort[title]]\">> |\n|<<lingo OverriddenShadowTiddlers/Prompt>> |<<show-filter-count \"[is[tiddler]is[shadow]sort[title]]\">> |\n"
},
"$:/core/ui/ControlPanel/EditorTypes": {
"title": "$:/core/ui/ControlPanel/EditorTypes",
"tags": "$:/tags/ControlPanel/Advanced",
"caption": "{{$:/language/ControlPanel/EditorTypes/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/EditorTypes/\n\n<<lingo Hint>>\n\n<table>\n<tbody>\n<tr>\n<th><<lingo Type/Caption>></th>\n<th><<lingo Editor/Caption>></th>\n</tr>\n<$list filter=\"[all[shadows+tiddlers]prefix[$:/config/EditorTypeMappings/]sort[title]]\">\n<tr>\n<td>\n<$link>\n<$list filter=\"[all[current]removeprefix[$:/config/EditorTypeMappings/]]\">\n<$text text={{!!title}}/>\n</$list>\n</$link>\n</td>\n<td>\n<$view field=\"text\"/>\n</td>\n</tr>\n</$list>\n</tbody>\n</table>\n"
},
"$:/core/ui/ControlPanel/Info": {
"title": "$:/core/ui/ControlPanel/Info",
"tags": "$:/tags/ControlPanel",
"caption": "{{$:/language/ControlPanel/Info/Caption}}",
"text": "{{$:/language/ControlPanel/Info/Hint}}\n\n<div class=\"tc-control-panel\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/ControlPanel/Info]!has[draft.of]]\" \"$:/core/ui/ControlPanel/Basics\">>\n</div>\n"
},
"$:/core/ui/ControlPanel/LoadedModules": {
"title": "$:/core/ui/ControlPanel/LoadedModules",
"tags": "$:/tags/ControlPanel/Advanced",
"caption": "{{$:/language/ControlPanel/LoadedModules/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/\n<<lingo LoadedModules/Hint>>\n\n{{$:/snippets/modules}}\n"
},
"$:/core/ui/ControlPanel/Palette": {
"title": "$:/core/ui/ControlPanel/Palette",
"tags": "$:/tags/ControlPanel/Appearance",
"caption": "{{$:/language/ControlPanel/Palette/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Palette/\n\n{{$:/snippets/paletteswitcher}}\n\n<$reveal type=\"nomatch\" state=\"$:/state/ShowPaletteEditor\" text=\"yes\">\n\n<$button set=\"$:/state/ShowPaletteEditor\" setTo=\"yes\"><<lingo ShowEditor/Caption>></$button>\n\n</$reveal>\n\n<$reveal type=\"match\" state=\"$:/state/ShowPaletteEditor\" text=\"yes\">\n\n<$button set=\"$:/state/ShowPaletteEditor\" setTo=\"no\"><<lingo HideEditor/Caption>></$button>\n{{$:/snippets/paletteeditor}}\n\n</$reveal>\n\n"
},
"$:/core/ui/ControlPanel/Plugins": {
"title": "$:/core/ui/ControlPanel/Plugins",
"tags": "$:/tags/ControlPanel",
"caption": "{{$:/language/ControlPanel/Plugins/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Plugins/\n\\define popup-state-macro()\n$(qualified-state)$-$(currentTiddler)$\n\\end\n\\define tabs-state-macro()\n$(popup-state)$-$(pluginInfoType)$\n\\end\n\\define plugin-icon-title()\n$(currentTiddler)$/icon\n\\end\n\\define plugin-disable-title()\n$:/config/Plugins/Disabled/$(currentTiddler)$\n\\end\n\\define plugin-table-body(type,disabledMessage)\n<div class=\"tc-plugin-info-chunk\">\n<$reveal type=\"nomatch\" state=<<popup-state>> text=\"yes\">\n<$button class=\"tc-btn-invisible tc-btn-dropdown\" set=<<popup-state>> setTo=\"yes\">\n{{$:/core/images/right-arrow}}\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<popup-state>> text=\"yes\">\n<$button class=\"tc-btn-invisible tc-btn-dropdown\" set=<<popup-state>> setTo=\"no\">\n{{$:/core/images/down-arrow}}\n</$button>\n</$reveal>\n</div>\n<div class=\"tc-plugin-info-chunk\">\n<$transclude tiddler=<<currentTiddler>> subtiddler=<<plugin-icon-title>>>\n<$transclude tiddler=\"$:/core/images/plugin-generic-$type$\"/>\n</$transclude>\n</div>\n<div class=\"tc-plugin-info-chunk\">\n<div>\n''<$view field=\"description\"><$view field=\"title\"/></$view>'' $disabledMessage$\n</div>\n<div>\n<$view field=\"title\"/>\n</div>\n<div>\n<$view field=\"version\"/>\n</div>\n</div>\n\\end\n\\define plugin-table(type)\n<$set name=\"qualified-state\" value=<<qualify \"$:/state/plugin-info\">>>\n<$list filter=\"[!has[draft.of]plugin-type[$type$]sort[description]]\" emptyMessage=<<lingo \"Empty/Hint\">>>\n<$set name=\"popup-state\" value=<<popup-state-macro>>>\n<$reveal type=\"nomatch\" state=<<plugin-disable-title>> text=\"yes\">\n<$link to={{!!title}} class=\"tc-plugin-info\">\n<<plugin-table-body type:\"$type$\">>\n</$link>\n</$reveal>\n<$reveal type=\"match\" state=<<plugin-disable-title>> text=\"yes\">\n<$link to={{!!title}} class=\"tc-plugin-info tc-plugin-info-disabled\">\n<<plugin-table-body type:\"$type$\" disabledMessage:\"<$macrocall $name='lingo' title='Disabled/Status'/>\">>\n</$link>\n</$reveal>\n<$reveal type=\"match\" text=\"yes\" state=<<popup-state>>>\n<div class=\"tc-plugin-info-dropdown\">\n<$list filter=\"[all[current]] -[[$:/core]]\">\n<div style=\"float:right;\">\n<$reveal type=\"nomatch\" state=<<plugin-disable-title>> text=\"yes\">\n<$button set=<<plugin-disable-title>> setTo=\"yes\" tooltip={{$:/language/ControlPanel/Plugins/Disable/Hint}} aria-label={{$:/language/ControlPanel/Plugins/Disable/Caption}}>\n<<lingo Disable/Caption>>\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<plugin-disable-title>> text=\"yes\">\n<$button set=<<plugin-disable-title>> setTo=\"no\" tooltip={{$:/language/ControlPanel/Plugins/Enable/Hint}} aria-label={{$:/language/ControlPanel/Plugins/Enable/Caption}}>\n<<lingo Enable/Caption>>\n</$button>\n</$reveal>\n</div>\n</$list>\n<$reveal type=\"nomatch\" text=\"\" state=\"!!list\">\n<$macrocall $name=\"tabs\" state=<<tabs-state-macro>> tabsList={{!!list}} default=\"readme\" template=\"$:/core/ui/PluginInfo\"/>\n</$reveal>\n<$reveal type=\"match\" text=\"\" state=\"!!list\">\nNo information provided\n</$reveal>\n</div>\n</$reveal>\n</$set>\n</$list>\n</$set>\n\\end\n\n! <<lingo Plugin/Prompt>>\n\n<<plugin-table plugin>>\n\n! <<lingo Theme/Prompt>>\n\n<<plugin-table theme>>\n\n! <<lingo Language/Prompt>>\n\n<<plugin-table language>>\n"
},
"$:/core/ui/ControlPanel/Saving": {
"title": "$:/core/ui/ControlPanel/Saving",
"tags": "$:/tags/ControlPanel",
"caption": "{{$:/language/ControlPanel/Saving/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Saving/\n\\define backupURL()\nhttp://$(userName)$.tiddlyspot.com/backup/\n\\end\n\\define backupLink()\n<$reveal type=\"nomatch\" state=\"$:/UploadName\" text=\"\">\n<$set name=\"userName\" value={{$:/UploadName}}>\n<a href=<<backupURL>>><$macrocall $name=\"backupURL\" $type=\"text/plain\" $output=\"text/plain\"/></a>\n</$set>\n</$reveal>\n\\end\n! <<lingo TiddlySpot/Heading>>\n\n<<lingo TiddlySpot/Description>>\n\n|<<lingo TiddlySpot/UserName>> |<$edit-text tiddler=\"$:/UploadName\" default=\"\" tag=\"input\"/> |\n|<<lingo TiddlySpot/Password>> |<$password name=\"upload\"/> |\n|<<lingo TiddlySpot/Backups>> |<<backupLink>> |\n\n''<<lingo TiddlySpot/Advanced/Heading>>''\n\n|<<lingo TiddlySpot/ServerURL>> |<$edit-text tiddler=\"$:/UploadURL\" default=\"\" tag=\"input\"/> |\n|<<lingo TiddlySpot/Filename>> |<$edit-text tiddler=\"$:/UploadFilename\" default=\"index.html\" tag=\"input\"/> |\n|<<lingo TiddlySpot/UploadDir>> |<$edit-text tiddler=\"$:/UploadDir\" default=\".\" tag=\"input\"/> |\n|<<lingo TiddlySpot/BackupDir>> |<$edit-text tiddler=\"$:/UploadBackupDir\" default=\".\" tag=\"input\"/> |\n\n<<lingo TiddlySpot/Hint>>\n\n"
},
"$:/core/ui/ControlPanel/Settings/AutoSave": {
"title": "$:/core/ui/ControlPanel/Settings/AutoSave",
"tags": "$:/tags/ControlPanel/Settings",
"caption": "{{$:/language/ControlPanel/Settings/AutoSave/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Settings/AutoSave/\n\n<$link to=\"$:/config/AutoSave\"><<lingo Hint>></$link>\n\n<$radio tiddler=\"$:/config/AutoSave\" value=\"yes\"> <<lingo Enabled/Description>> </$radio>\n\n<$radio tiddler=\"$:/config/AutoSave\" value=\"no\"> <<lingo Disabled/Description>> </$radio>\n"
},
"$:/core/ui/ControlPanel/Settings/NavigationAddressBar": {
"title": "$:/core/ui/ControlPanel/Settings/NavigationAddressBar",
"tags": "$:/tags/ControlPanel/Settings",
"caption": "{{$:/language/ControlPanel/Settings/NavigationAddressBar/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Settings/NavigationAddressBar/\n\n<$link to=\"$:/config/Navigation/UpdateAddressBar\"><<lingo Hint>></$link>\n\n<$radio tiddler=\"$:/config/Navigation/UpdateAddressBar\" value=\"permaview\"> <<lingo Permaview/Description>> </$radio>\n\n<$radio tiddler=\"$:/config/Navigation/UpdateAddressBar\" value=\"permalink\"> <<lingo Permalink/Description>> </$radio>\n\n<$radio tiddler=\"$:/config/Navigation/UpdateAddressBar\" value=\"no\"> <<lingo No/Description>> </$radio>\n"
},
"$:/core/ui/ControlPanel/Settings/NavigationHistory": {
"title": "$:/core/ui/ControlPanel/Settings/NavigationHistory",
"tags": "$:/tags/ControlPanel/Settings",
"caption": "{{$:/language/ControlPanel/Settings/NavigationHistory/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Settings/NavigationHistory/\n<$link to=\"$:/config/Navigation/UpdateHistory\"><<lingo Hint>></$link>\n\n<$radio tiddler=\"$:/config/Navigation/UpdateHistory\" value=\"yes\"> <<lingo Yes/Description>> </$radio>\n\n<$radio tiddler=\"$:/config/Navigation/UpdateHistory\" value=\"no\"> <<lingo No/Description>> </$radio>\n"
},
"$:/core/ui/ControlPanel/Settings/ToolbarButtons": {
"title": "$:/core/ui/ControlPanel/Settings/ToolbarButtons",
"tags": "$:/tags/ControlPanel/Settings",
"caption": "{{$:/language/ControlPanel/Settings/ToolbarButtons/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Settings/ToolbarButtons/\n<<lingo Hint>>\n\n<$checkbox tiddler=\"$:/config/Toolbar/Icons\" field=\"text\" checked=\"yes\" unchecked=\"no\" default=\"yes\"> <$link to=\"$:/config/Toolbar/Icons\"><<lingo Icons/Description>></$link> </$checkbox>\n\n<$checkbox tiddler=\"$:/config/Toolbar/Text\" field=\"text\" checked=\"yes\" unchecked=\"no\" default=\"no\"> <$link to=\"$:/config/Toolbar/Text\"><<lingo Text/Description>></$link> </$checkbox>\n"
},
"$:/core/ui/ControlPanel/Settings": {
"title": "$:/core/ui/ControlPanel/Settings",
"tags": "$:/tags/ControlPanel",
"caption": "{{$:/language/ControlPanel/Settings/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/Settings/\n\n<<lingo Hint>>\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ControlPanel/Settings]]\">\n\n<div style=\"border-top:1px solid #eee;\">\n\n!! <$link><$transclude field=\"caption\"/></$link>\n\n<$transclude/>\n\n</div>\n\n</$list>\n"
},
"$:/core/ui/ControlPanel/StoryView": {
"title": "$:/core/ui/ControlPanel/StoryView",
"tags": "$:/tags/ControlPanel/Appearance",
"caption": "{{$:/language/ControlPanel/StoryView/Caption}}",
"text": "{{$:/snippets/viewswitcher}}\n"
},
"$:/core/ui/ControlPanel/Theme": {
"title": "$:/core/ui/ControlPanel/Theme",
"tags": "$:/tags/ControlPanel/Appearance",
"caption": "{{$:/language/ControlPanel/Theme/Caption}}",
"text": "{{$:/snippets/themeswitcher}}\n"
},
"$:/core/ui/ControlPanel/TiddlerFields": {
"title": "$:/core/ui/ControlPanel/TiddlerFields",
"tags": "$:/tags/ControlPanel/Advanced",
"caption": "{{$:/language/ControlPanel/TiddlerFields/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/\n\n<<lingo TiddlerFields/Hint>>\n\n{{$:/snippets/allfields}}"
},
"$:/core/ui/ControlPanel/Toolbars/EditToolbar": {
"title": "$:/core/ui/ControlPanel/Toolbars/EditToolbar",
"tags": "$:/tags/ControlPanel/Toolbars",
"caption": "{{$:/language/ControlPanel/Toolbars/EditToolbar/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n\\define config-title()\n$:/config/EditToolbarButtons/Visibility/$(listItem)$\n\\end\n\n{{$:/language/ControlPanel/Toolbars/EditToolbar/Hint}}\n\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/EditToolbar]!has[draft.of]]\" variable=\"listItem\">\n\n<$checkbox tiddler=<<config-title>> field=\"text\" checked=\"show\" unchecked=\"hide\" default=\"show\"/> <$transclude tiddler=<<listItem>> field=\"caption\"/> <i class=\"tc-muted\">-- <$transclude tiddler=<<listItem>> field=\"description\"/></i>\n\n</$list>\n\n</$set>\n\n</$set>\n"
},
"$:/core/ui/ControlPanel/Toolbars/PageControls": {
"title": "$:/core/ui/ControlPanel/Toolbars/PageControls",
"tags": "$:/tags/ControlPanel/Toolbars",
"caption": "{{$:/language/ControlPanel/Toolbars/PageControls/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n\\define config-title()\n$:/config/PageControlButtons/Visibility/$(listItem)$\n\\end\n\n{{$:/language/ControlPanel/Toolbars/PageControls/Hint}}\n\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/PageControls]!has[draft.of]]\" variable=\"listItem\">\n\n<$checkbox tiddler=<<config-title>> field=\"text\" checked=\"show\" unchecked=\"hide\" default=\"show\"/> <$transclude tiddler=<<listItem>> field=\"caption\"/> <i class=\"tc-muted\">-- <$transclude tiddler=<<listItem>> field=\"description\"/></i>\n\n</$list>\n\n</$set>\n\n</$set>\n"
},
"$:/core/ui/ControlPanel/Toolbars/ViewToolbar": {
"title": "$:/core/ui/ControlPanel/Toolbars/ViewToolbar",
"tags": "$:/tags/ControlPanel/Toolbars",
"caption": "{{$:/language/ControlPanel/Toolbars/ViewToolbar/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n\\define config-title()\n$:/config/ViewToolbarButtons/Visibility/$(listItem)$\n\\end\n\n{{$:/language/ControlPanel/Toolbars/ViewToolbar/Hint}}\n\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ViewToolbar]!has[draft.of]]\" variable=\"listItem\">\n\n<$checkbox tiddler=<<config-title>> field=\"text\" checked=\"show\" unchecked=\"hide\" default=\"show\"/> <$transclude tiddler=<<listItem>> field=\"caption\"/> <i class=\"tc-muted\">-- <$transclude tiddler=<<listItem>> field=\"description\"/></i>\n\n</$list>\n\n</$set>\n\n</$set>\n"
},
"$:/core/ui/ControlPanel/Toolbars": {
"title": "$:/core/ui/ControlPanel/Toolbars",
"tags": "$:/tags/ControlPanel/Appearance",
"caption": "{{$:/language/ControlPanel/Toolbars/Caption}}",
"text": "{{$:/language/ControlPanel/Toolbars/Hint}}\n\n<div class=\"tc-control-panel\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/ControlPanel/Toolbars]!has[draft.of]]\" \"$:/core/ui/ControlPanel/Toolbars/ViewToolbar\" \"$:/state/tabs/controlpanel/toolbars\" \"tc-vertical\">>\n</div>\n"
},
"$:/ControlPanel": {
"title": "$:/ControlPanel",
"text": "<div class=\"tc-control-panel\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/ControlPanel]!has[draft.of]]\" \"$:/core/ui/ControlPanel/Info\">>\n</div>\n"
},
"$:/core/ui/DefaultSearchResultList": {
"title": "$:/core/ui/DefaultSearchResultList",
"tags": "$:/tags/SearchResults",
"caption": "{{$:/language/Search/DefaultResults/Caption}}",
"text": "\\define searchResultList()\n<$set name=\"resultCount\" value=\"\"\"<$count filter=\"[!is[system]search{$(searchTiddler)$}]\"/>\"\"\">\n\n{{$:/language/Search/Matches}}\n\n</$set>\n\n//<small>Title matches:</small>//\n\n<$list filter=\"[!is[system]search:title{$(searchTiddler)$}sort[title]limit[250]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n\n//<small>All matches:</small>//\n\n<$list filter=\"[!is[system]search{$(searchTiddler)$}sort[title]limit[250]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n\\end\n<<searchResultList>>\n"
},
"$:/core/ui/EditTemplate/body": {
"title": "$:/core/ui/EditTemplate/body",
"tags": "$:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/EditTemplate/Body/\n<$list filter=\"[is[current]has[_canonical_uri]]\">\n\n<div class=\"tc-message-box\">\n\n<<lingo External/Hint>>\n\n<a href={{!!_canonical_uri}}><$text text={{!!_canonical_uri}}/></a>\n\n<$edit-text field=\"_canonical_uri\" class=\"tc-edit-fields\"></$edit-text>\n\n</div>\n\n</$list>\n\n<$list filter=\"[is[current]!has[_canonical_uri]]\">\n\n<$reveal state=\"$:/state/showeditpreview\" type=\"match\" text=\"yes\">\n\n<em class=\"tc-edit\"><<lingo Hint>></em> <$button type=\"set\" set=\"$:/state/showeditpreview\" setTo=\"no\"><<lingo Preview/Button/Hide>></$button>\n\n<div class=\"tc-tiddler-preview\">\n<div class=\"tc-tiddler-preview-preview\">\n\n<$transclude />\n\n</div>\n\n<div class=\"tc-tiddler-preview-edit\">\n<$edit field=\"text\" class=\"tc-edit-texteditor\" placeholder={{$:/language/EditTemplate/Body/Placeholder}}/>\n\n</div>\n\n</div>\n\n</$reveal>\n\n<$reveal state=\"$:/state/showeditpreview\" type=\"nomatch\" text=\"yes\">\n\n<em class=\"tc-edit\"><<lingo Hint>></em> <$button type=\"set\" set=\"$:/state/showeditpreview\" setTo=\"yes\"><<lingo Preview/Button/Show>></$button>\n<$edit field=\"text\" class=\"tc-edit-texteditor\" placeholder={{$:/language/EditTemplate/Body/Placeholder}}/>\n\n</$reveal>\n\n</$list>\n"
},
"$:/core/ui/EditTemplate/controls": {
"title": "$:/core/ui/EditTemplate/controls",
"tags": "$:/tags/EditTemplate",
"text": "\\define config-title()\n$:/config/EditToolbarButtons/Visibility/$(listItem)$\n\\end\n<div class=\"tc-tiddler-title tc-tiddler-edit-title\">\n<$view field=\"title\"/>\n<span class=\"tc-tiddler-controls tc-titlebar\"><$list filter=\"[all[shadows+tiddlers]tag[$:/tags/EditToolbar]!has[draft.of]]\" variable=\"listItem\"><$reveal type=\"nomatch\" state=<<config-title>> text=\"hide\"><$transclude tiddler=<<listItem>>/></$reveal></$list></span>\n<div style=\"clear: both;\"></div>\n</div>\n"
},
"$:/core/ui/EditTemplate/fields": {
"title": "$:/core/ui/EditTemplate/fields",
"tags": "$:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/EditTemplate/\n\\define config-title()\n$:/config/EditTemplateFields/Visibility/$(currentField)$\n\\end\n\n\\define config-filter()\n[[hide]] -[title{$(config-title)$}]\n\\end\n\n\\define new-field(name,value)\n<$reveal type=\"nomatch\" text=\"\" default=\"\"\"$name$\"\"\">\n<$button>\n<$action-sendmessage $message=\"tm-add-field\" $name$=\"\"\"$value$\"\"\"/>\n<$action-deletetiddler $tiddler=\"$:/temp/newfieldname\"/>\n<$action-deletetiddler $tiddler=\"$:/temp/newfieldvalue\"/>\n<<lingo Fields/Add/Button>>\n</$button>\n</$reveal>\n<$reveal type=\"match\" text=\"\" default=\"\"\"$name$\"\"\">\n<$button>\n<<lingo Fields/Add/Button>>\n</$button>\n</$reveal>\n\\end\n\n<div class=\"tc-edit-fields\">\n<table class=\"tc-edit-fields\">\n<tbody>\n<$list filter=\"[all[current]fields[]] +[sort[title]]\" variable=\"currentField\">\n<$list filter=<<config-filter>> variable=\"temp\">\n<tr class=\"tc-edit-field\">\n<td class=\"tc-edit-field-name\">\n<$text text=<<currentField>>/>:</td>\n<td class=\"tc-edit-field-value\">\n<$edit-text tiddler=<<currentTiddler>> field=<<currentField>> placeholder={{$:/language/EditTemplate/Fields/Add/Value/Placeholder}}/>\n</td>\n<td class=\"tc-edit-field-remove\">\n<$button class=\"tc-btn-invisible\" tooltip={{$:/language/EditTemplate/Field/Remove/Hint}} aria-label={{$:/language/EditTemplate/Field/Remove/Caption}}>\n<$action-deletefield $field=<<currentField>>/>\n{{$:/core/images/delete-button}}\n</$button>\n</td>\n</tr>\n</$list>\n</$list>\n</tbody>\n</table>\n</div>\n\n<$fieldmangler>\n<div class=\"tc-edit-field-add\">\n<em class=\"tc-edit\">\n<<lingo Fields/Add/Prompt>>\n</em>\n<span class=\"tc-edit-field-add-name\">\n<$edit-text tiddler=\"$:/temp/newfieldname\" tag=\"input\" default=\"\" placeholder={{$:/language/EditTemplate/Fields/Add/Name/Placeholder}} class=\"tc-edit-texteditor\"/>\n</span>\n<span class=\"tc-edit-field-add-value\">\n<$edit-text tiddler=\"$:/temp/newfieldvalue\" tag=\"input\" default=\"\" placeholder={{$:/language/EditTemplate/Fields/Add/Value/Placeholder}} class=\"tc-edit-texteditor\"/>\n</span>\n<span class=\"tc-edit-field-add-button\">\n<$macrocall $name=\"new-field\" name={{$:/temp/newfieldname}} value={{$:/temp/newfieldvalue}}/>\n</span>\n</div>\n</$fieldmangler>\n\n"
},
"$:/core/ui/EditTemplate/shadow": {
"title": "$:/core/ui/EditTemplate/shadow",
"tags": "$:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/EditTemplate/Shadow/\n<$list filter=\"[all[current]get[draft.of]is[shadow]!is[tiddler]]\">\n<div class=\"tc-message-box\">\n\n<<lingo Warning>>\n\n</div>\n</$list>\n\n<$list filter=\"[all[current]get[draft.of]is[shadow]is[tiddler]]\">\n<div class=\"tc-message-box\">\n\n<<lingo OverriddenWarning>>\n\n</div>\n</$list>\n"
},
"$:/core/ui/EditTemplate/tags": {
"title": "$:/core/ui/EditTemplate/tags",
"tags": "$:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/EditTemplate/\n\\define tag-styles()\nbackground-color:$(backgroundColor)$;\n\\end\n<div class=\"tc-edit-tags\">\n<$fieldmangler>\n<$list filter=\"[all[current]tags[]sort[title]]\" storyview=\"pop\"><$set name=\"backgroundColor\" value={{!!color}}><span style=<<tag-styles>> class=\"tc-tag-label\">\n<$view field=\"title\" format=\"text\" />\n<$button message=\"tm-remove-tag\" param={{!!title}} class=\"tc-btn-invisible tc-remove-tag-button\">×</$button></span>\n</$set>\n</$list>\n\n<div class=\"tc-edit-add-tag\">\n<span class=\"tc-add-tag-name\">\n<$edit-text tiddler=\"$:/temp/NewTagName\" tag=\"input\" default=\"\" placeholder={{$:/language/EditTemplate/Tags/Add/Placeholder}} focusPopup=<<qualify \"$:/state/popup/tags-auto-complete\">> class=\"tc-edit-texteditor tc-popup-handle\"/>\n</span> <$button popup=<<qualify \"$:/state/popup/tags-auto-complete\">> class=\"tc-btn-invisible tc-btn-dropdown\" tooltip={{$:/language/EditTemplate/Tags/Dropdown/Hint}} aria-label={{$:/language/EditTemplate/Tags/Dropdown/Caption}}>{{$:/core/images/down-arrow}}</$button> <span class=\"tc-add-tag-button\">\n<$button message=\"tm-add-tag\" param={{$:/temp/NewTagName}} set=\"$:/temp/NewTagName\" setTo=\"\" class=\"\">\n<<lingo Tags/Add/Button>>\n</$button>\n</span>\n</div>\n\n<div class=\"tc-block-dropdown-wrapper\">\n<$reveal state=<<qualify \"$:/state/popup/tags-auto-complete\">> type=\"nomatch\" text=\"\" default=\"\">\n<div class=\"tc-block-dropdown\">\n<$linkcatcher set=\"$:/temp/NewTagName\" setTo=\"\" message=\"tm-add-tag\">\n<$list filter=\"[!is[shadow]tags[]search{$:/temp/NewTagName}sort[title]]\">\n<$link>\n<$set name=\"backgroundColor\" value={{!!color}}>\n<span style=<<tag-styles>> class=\"tc-tag-label\">\n<$view field=\"title\" format=\"text\"/>\n</span>\n</$set>\n</$link>\n</$list>\n</$linkcatcher>\n</div>\n</$reveal>\n</div>\n</$fieldmangler>\n</div>"
},
"$:/core/ui/EditTemplate/title": {
"title": "$:/core/ui/EditTemplate/title",
"tags": "$:/tags/EditTemplate",
"text": "<$edit-text field=\"draft.title\" class=\"tc-titlebar tc-edit-texteditor\" focus=\"true\"/>"
},
"$:/core/ui/EditTemplate/type": {
"title": "$:/core/ui/EditTemplate/type",
"tags": "$:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/EditTemplate/\n<div class=\"tc-type-selector\"><$fieldmangler>\n<em class=\"tc-edit\"><<lingo Type/Prompt>></em> <$edit-text field=\"type\" tag=\"input\" default=\"\" placeholder={{$:/language/EditTemplate/Type/Placeholder}} focusPopup=<<qualify \"$:/state/popup/type-dropdown\">> class=\"tc-edit-typeeditor tc-popup-handle\"/> <$button popup=<<qualify \"$:/state/popup/type-dropdown\">> class=\"tc-btn-invisible tc-btn-dropdown\" tooltip={{$:/language/EditTemplate/Type/Dropdown/Hint}} aria-label={{$:/language/EditTemplate/Type/Dropdown/Caption}}>{{$:/core/images/down-arrow}}</$button> <$button message=\"tm-remove-field\" param=\"type\" class=\"tc-btn-invisible tc-btn-icon\" tooltip={{$:/language/EditTemplate/Type/Delete/Hint}} aria-label={{$:/language/EditTemplate/Type/Delete/Caption}}>{{$:/core/images/delete-button}}</$button>\n</$fieldmangler></div>\n\n<div class=\"tc-block-dropdown-wrapper\">\n<$reveal state=<<qualify \"$:/state/popup/type-dropdown\">> type=\"nomatch\" text=\"\" default=\"\">\n<div class=\"tc-block-dropdown tc-edit-type-dropdown\">\n<$linkcatcher to=\"!!type\">\n<$list filter='[all[shadows+tiddlers]prefix[$:/language/Docs/Types/]each[group]sort[group]]'>\n<div class=\"tc-dropdown-item\">\n<$text text={{!!group}}/>\n</div>\n<$list filter=\"[all[shadows+tiddlers]prefix[$:/language/Docs/Types/]group{!!group}] +[sort[description]]\"><$link to={{!!name}}><$view field=\"description\"/> (<$view field=\"name\"/>)</$link>\n</$list>\n</$list>\n</$linkcatcher>\n</div>\n</$reveal>\n</div>"
},
"$:/core/ui/EditTemplate": {
"title": "$:/core/ui/EditTemplate",
"text": "\\define frame-classes()\ntc-tiddler-frame tc-tiddler-edit-frame $(missingTiddlerClass)$ $(shadowTiddlerClass)$ $(systemTiddlerClass)$\n\\end\n<div class=<<frame-classes>>>\n<$set name=\"storyTiddler\" value=<<currentTiddler>>>\n<$keyboard key=\"escape\" message=\"tm-cancel-tiddler\">\n<$keyboard key=\"ctrl+enter\" message=\"tm-save-tiddler\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/EditTemplate]!has[draft.of]]\" variable=\"listItem\">\n<$transclude tiddler=<<listItem>>/>\n</$list>\n</$keyboard>\n</$keyboard>\n</$set>\n</div>\n"
},
"$:/core/ui/Buttons/cancel": {
"title": "$:/core/ui/Buttons/cancel",
"tags": "$:/tags/EditToolbar",
"caption": "{{$:/core/images/cancel-button}} {{$:/language/Buttons/Cancel/Caption}}",
"description": "{{$:/language/Buttons/Cancel/Hint}}",
"text": "<$button message=\"tm-cancel-tiddler\" tooltip={{$:/language/Buttons/Cancel/Hint}} aria-label={{$:/language/Buttons/Cancel/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/cancel-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Cancel/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/delete": {
"title": "$:/core/ui/Buttons/delete",
"tags": "$:/tags/EditToolbar",
"caption": "{{$:/core/images/delete-button}} {{$:/language/Buttons/Delete/Caption}}",
"description": "{{$:/language/Buttons/Delete/Hint}}",
"text": "<$button message=\"tm-delete-tiddler\" tooltip={{$:/language/Buttons/Delete/Hint}} aria-label={{$:/language/Buttons/Delete/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/delete-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Delete/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/save": {
"title": "$:/core/ui/Buttons/save",
"tags": "$:/tags/EditToolbar",
"caption": "{{$:/core/images/done-button}} {{$:/language/Buttons/Save/Caption}}",
"description": "{{$:/language/Buttons/Save/Hint}}",
"text": "<$button message=\"tm-save-tiddler\" tooltip={{$:/language/Buttons/Save/Hint}} aria-label={{$:/language/Buttons/Save/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/done-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Save/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/Filters/AllTags": {
"title": "$:/core/Filters/AllTags",
"tags": "$:/tags/Filter",
"filter": "[tags[]!is[system]sort[title]]",
"description": "{{$:/language/Filters/AllTags}}",
"text": ""
},
"$:/core/Filters/AllTiddlers": {
"title": "$:/core/Filters/AllTiddlers",
"tags": "$:/tags/Filter",
"filter": "[!is[system]sort[title]]",
"description": "{{$:/language/Filters/AllTiddlers}}",
"text": ""
},
"$:/core/Filters/Drafts": {
"title": "$:/core/Filters/Drafts",
"tags": "$:/tags/Filter",
"filter": "[has[draft.of]sort[title]]",
"description": "{{$:/language/Filters/Drafts}}",
"text": ""
},
"$:/core/Filters/Missing": {
"title": "$:/core/Filters/Missing",
"tags": "$:/tags/Filter",
"filter": "[all[missing]sort[title]]",
"description": "{{$:/language/Filters/Missing}}",
"text": ""
},
"$:/core/Filters/Orphans": {
"title": "$:/core/Filters/Orphans",
"tags": "$:/tags/Filter",
"filter": "[all[orphans]sort[title]]",
"description": "{{$:/language/Filters/Orphans}}",
"text": ""
},
"$:/core/Filters/OverriddenShadowTiddlers": {
"title": "$:/core/Filters/OverriddenShadowTiddlers",
"tags": "$:/tags/Filter",
"filter": "[is[shadow]]",
"description": "{{$:/language/Filters/OverriddenShadowTiddlers}}",
"text": ""
},
"$:/core/Filters/RecentSystemTiddlers": {
"title": "$:/core/Filters/RecentSystemTiddlers",
"tags": "$:/tags/Filter",
"filter": "[has[modified]!sort[modified]limit[50]]",
"description": "{{$:/language/Filters/RecentSystemTiddlers}}",
"text": ""
},
"$:/core/Filters/RecentTiddlers": {
"title": "$:/core/Filters/RecentTiddlers",
"tags": "$:/tags/Filter",
"filter": "[!is[system]has[modified]!sort[modified]limit[50]]",
"description": "{{$:/language/Filters/RecentTiddlers}}",
"text": ""
},
"$:/core/Filters/ShadowTiddlers": {
"title": "$:/core/Filters/ShadowTiddlers",
"tags": "$:/tags/Filter",
"filter": "[all[shadows]sort[title]]",
"description": "{{$:/language/Filters/ShadowTiddlers}}",
"text": ""
},
"$:/core/Filters/SystemTags": {
"title": "$:/core/Filters/SystemTags",
"tags": "$:/tags/Filter",
"filter": "[all[shadows+tiddlers]tags[]is[system]sort[title]]",
"description": "{{$:/language/Filters/SystemTags}}",
"text": ""
},
"$:/core/Filters/SystemTiddlers": {
"title": "$:/core/Filters/SystemTiddlers",
"tags": "$:/tags/Filter",
"filter": "[is[system]sort[title]]",
"description": "{{$:/language/Filters/SystemTiddlers}}",
"text": ""
},
"$:/core/ui/ImportListing": {
"title": "$:/core/ui/ImportListing",
"text": "\\define lingo-base() $:/language/Import/\n\\define messageField()\nmessage-$(payloadTiddler)$\n\\end\n\\define selectionField()\nselection-$(payloadTiddler)$\n\\end\n\\define previewPopupState()\n$(currentTiddler)$!!popup-$(payloadTiddler)$\n\\end\n<table>\n<tbody>\n<tr>\n<th>\n<<lingo Listing/Select/Caption>>\n</th>\n<th>\n<<lingo Listing/Title/Caption>>\n</th>\n<th>\n<<lingo Listing/Status/Caption>>\n</th>\n</tr>\n<$list filter=\"[all[current]plugintiddlers[]sort[title]]\" variable=\"payloadTiddler\">\n<tr>\n<td>\n<$checkbox field=<<selectionField>> checked=\"checked\" unchecked=\"unchecked\" default=\"checked\"/>\n</td>\n<td>\n<$reveal type=\"nomatch\" state=<<previewPopupState>> text=\"yes\">\n<$button class=\"tc-btn-invisible tc-btn-dropdown\" set=<<previewPopupState>> setTo=\"yes\">\n{{$:/core/images/right-arrow}} <$text text=<<payloadTiddler>>/>\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<previewPopupState>> text=\"yes\">\n<$button class=\"tc-btn-invisible tc-btn-dropdown\" set=<<previewPopupState>> setTo=\"no\">\n{{$:/core/images/down-arrow}} <$text text=<<payloadTiddler>>/>\n</$button>\n</$reveal>\n</td>\n<td>\n<$view field=<<messageField>>/>\n</td>\n</tr>\n<tr>\n<td colspan=\"3\">\n<$reveal type=\"match\" text=\"yes\" state=<<previewPopupState>>>\n<$transclude subtiddler=<<payloadTiddler>> mode=\"block\"/>\n</$reveal>\n</td>\n</tr>\n</$list>\n</tbody>\n</table>\n"
},
"$:/core/ui/ListItemTemplate": {
"title": "$:/core/ui/ListItemTemplate",
"text": "<div class=\"tc-menu-list-item\">\n<$link to={{!!title}}>\n<$view field=\"title\"/>\n</$link>\n</div>"
},
"$:/core/ui/MissingTemplate": {
"title": "$:/core/ui/MissingTemplate",
"text": "<div class=\"tc-tiddler-missing\">\n<$button popup=<<qualify \"$:/state/popup/missing\">> class=\"tc-btn-invisible tc-missing-tiddler-label\">\n<$view field=\"title\" format=\"text\" />\n</$button>\n<$reveal state=<<qualify \"$:/state/popup/missing\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down\">\n<$transclude tiddler=\"$:/core/ui/ListItemTemplate\"/>\n<hr>\n<$list filter=\"[all[current]backlinks[]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n</div>\n</$reveal>\n</div>\n"
},
"$:/core/ui/MoreSideBar/All": {
"title": "$:/core/ui/MoreSideBar/All",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/All/Caption}}",
"text": "<$list filter=\"[!is[system]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/Drafts": {
"title": "$:/core/ui/MoreSideBar/Drafts",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Drafts/Caption}}",
"text": "<$list filter=\"[has[draft.of]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/Missing": {
"title": "$:/core/ui/MoreSideBar/Missing",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Missing/Caption}}",
"text": "<$list filter=\"[all[missing]sort[title]]\" template=\"$:/core/ui/MissingTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/Orphans": {
"title": "$:/core/ui/MoreSideBar/Orphans",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Orphans/Caption}}",
"text": "<$list filter=\"[all[orphans]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/Recent": {
"title": "$:/core/ui/MoreSideBar/Recent",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Recent/Caption}}",
"text": "<$macrocall $name=\"timeline\" format={{$:/language/RecentChanges/DateFormat}}/>\n"
},
"$:/core/ui/MoreSideBar/Shadows": {
"title": "$:/core/ui/MoreSideBar/Shadows",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Shadows/Caption}}",
"text": "<$list filter=\"[all[shadows]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/System": {
"title": "$:/core/ui/MoreSideBar/System",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/System/Caption}}",
"text": "<$list filter=\"[is[system]sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/MoreSideBar/Tags": {
"title": "$:/core/ui/MoreSideBar/Tags",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Tags/Caption}}",
"text": "<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-class\" value=\"\">\n\n{{$:/core/ui/Buttons/tag-manager}}\n\n</$set>\n\n</$set>\n\n</$set>\n\n<$list filter=\"[tags[]!is[system]sort[title]]\">\n\n<$transclude tiddler=\"$:/core/ui/TagTemplate\"/> <small class=\"tc-menu-list-count\"><$count filter=\"[all[current]tagging[]]\"/></small>\n\n</$list>\n\n<hr class=\"tc-untagged-separator\">\n\n{{$:/core/ui/UntaggedTemplate}} <small class=\"tc-menu-list-count\"><$count filter=\"[untagged[]!is[system]] -[tags[]]\"/></small>\n"
},
"$:/core/ui/MoreSideBar/Types": {
"title": "$:/core/ui/MoreSideBar/Types",
"tags": "$:/tags/MoreSideBar",
"caption": "{{$:/language/SideBar/Types/Caption}}",
"text": "<$list filter=\"[!is[system]has[type]each[type]sort[type]] -[type[text/vnd.tiddlywiki]]\">\n<div class=\"tc-menu-list-item\">\n<$view field=\"type\"/>\n<$list filter=\"[type{!!type}!is[system]sort[title]]\">\n<div class=\"tc-menu-list-subitem\">\n<$link to={{!!title}}><$view field=\"title\"/></$link>\n</div>\n</$list>\n</div>\n</$list>\n"
},
"$:/core/ui/Buttons/advanced-search": {
"title": "$:/core/ui/Buttons/advanced-search",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/advanced-search-button}} {{$:/language/Buttons/AdvancedSearch/Caption}}",
"description": "{{$:/language/Buttons/AdvancedSearch/Hint}}",
"text": "<$button to=\"$:/AdvancedSearch\" tooltip={{$:/language/Buttons/AdvancedSearch/Hint}} aria-label={{$:/language/Buttons/AdvancedSearch/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/advanced-search-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/AdvancedSearch/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/close-all": {
"title": "$:/core/ui/Buttons/close-all",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/close-all-button}} {{$:/language/Buttons/CloseAll/Caption}}",
"description": "{{$:/language/Buttons/CloseAll/Hint}}",
"text": "<$button message=\"tm-close-all-tiddlers\" tooltip={{$:/language/Buttons/CloseAll/Hint}} aria-label={{$:/language/Buttons/CloseAll/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/close-all-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/CloseAll/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/control-panel": {
"title": "$:/core/ui/Buttons/control-panel",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/options-button}} {{$:/language/Buttons/ControlPanel/Caption}}",
"description": "{{$:/language/Buttons/ControlPanel/Hint}}",
"text": "<$button to=\"$:/ControlPanel\" tooltip={{$:/language/Buttons/ControlPanel/Hint}} aria-label={{$:/language/Buttons/ControlPanel/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/options-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/ControlPanel/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/encryption": {
"title": "$:/core/ui/Buttons/encryption",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/locked-padlock}} {{$:/language/Buttons/Encryption/Caption}}",
"description": "{{$:/language/Buttons/Encryption/Hint}}",
"text": "<$reveal type=\"match\" state=\"$:/isEncrypted\" text=\"yes\">\n<$button message=\"tm-clear-password\" tooltip={{$:/language/Buttons/Encryption/ClearPassword/Hint}} aria-label={{$:/language/Buttons/Encryption/ClearPassword/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/locked-padlock}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Encryption/ClearPassword/Caption}}/></span>\n</$list>\n</$button>\n</$reveal>\n<$reveal type=\"nomatch\" state=\"$:/isEncrypted\" text=\"yes\">\n<$button message=\"tm-set-password\" tooltip={{$:/language/Buttons/Encryption/SetPassword/Hint}} aria-label={{$:/language/Buttons/Encryption/SetPassword/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/unlocked-padlock}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Encryption/SetPassword/Caption}}/></span>\n</$list>\n</$button>\n</$reveal>"
},
"$:/core/ui/Buttons/export-page": {
"title": "$:/core/ui/Buttons/export-page",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/export-button}} {{$:/language/Buttons/ExportPage/Caption}}",
"description": "{{$:/language/Buttons/ExportPage/Hint}}",
"text": "<$macrocall $name=\"exportButton\" exportFilter=\"[!is[system]sort[title]]\" lingoBase=\"$:/language/Buttons/ExportPage/\"/>"
},
"$:/core/ui/Buttons/full-screen": {
"title": "$:/core/ui/Buttons/full-screen",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/full-screen-button}} {{$:/language/Buttons/FullScreen/Caption}}",
"description": "{{$:/language/Buttons/FullScreen/Hint}}",
"text": "<$button message=\"tm-full-screen\" tooltip={{$:/language/Buttons/FullScreen/Hint}} aria-label={{$:/language/Buttons/FullScreen/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/full-screen-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/FullScreen/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/home": {
"title": "$:/core/ui/Buttons/home",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/home-button}} {{$:/language/Buttons/Home/Caption}}",
"description": "{{$:/language/Buttons/Home/Hint}}",
"text": "<$button message=\"tm-home\" tooltip={{$:/language/Buttons/Home/Hint}} aria-label={{$:/language/Buttons/Home/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/home-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Home/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/import": {
"title": "$:/core/ui/Buttons/import",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/import-button}} {{$:/language/Buttons/Import/Caption}}",
"description": "{{$:/language/Buttons/Import/Hint}}",
"text": "<div class=\"tc-file-input-wrapper\">\n<$button tooltip={{$:/language/Buttons/Import/Hint}} aria-label={{$:/language/Buttons/Import/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/import-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Import/Caption}}/></span>\n</$list>\n</$button>\n<$browse tooltip={{$:/language/Buttons/Import/Hint}}/>\n</div>"
},
"$:/core/ui/Buttons/language": {
"title": "$:/core/ui/Buttons/language",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/globe}} {{$:/language/Buttons/Language/Caption}}",
"description": "{{$:/language/Buttons/Language/Hint}}",
"text": "\\define flag-title()\n$(languagePluginTitle)$/icon\n\\end\n<span class=\"tc-popup-keep\">\n<$button popup=<<qualify \"$:/state/popup/language\">> tooltip={{$:/language/Buttons/Language/Hint}} aria-label={{$:/language/Buttons/Language/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n<span class=\"tc-image-button\">\n<$set name=\"languagePluginTitle\" value={{$:/language}}>\n<$image source=<<flag-title>>/>\n</$set>\n</span>\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Language/Caption}}/></span>\n</$list>\n</$button>\n</span>\n<$reveal state=<<qualify \"$:/state/popup/language\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down tc-drop-down-language-chooser\">\n<$linkcatcher to=\"$:/language\">\n<$list filter=\"[[$:/languages/en-GB]] [plugin-type[language]sort[description]]\">\n<$link>\n<span class=\"tc-drop-down-bullet\">\n<$reveal type=\"match\" state=\"$:/language\" text=<<currentTiddler>>>\n•\n</$reveal>\n<$reveal type=\"nomatch\" state=\"$:/language\" text=<<currentTiddler>>>\n \n</$reveal>\n</span>\n<span class=\"tc-image-button\">\n<$set name=\"languagePluginTitle\" value=<<currentTiddler>>>\n<$transclude subtiddler=<<flag-title>>>\n<$list filter=\"[all[current]field:title[$:/languages/en-GB]]\">\n<$transclude tiddler=\"$:/languages/en-GB/icon\"/>\n</$list>\n</$transclude>\n</$set>\n</span>\n<$view field=\"description\">\n<$view field=\"name\">\n<$view field=\"title\"/>\n</$view>\n</$view>\n</$link>\n</$list>\n</$linkcatcher>\n</div>\n</$reveal>"
},
"$:/core/ui/Buttons/more-page-actions": {
"title": "$:/core/ui/Buttons/more-page-actions",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/down-arrow}} {{$:/language/Buttons/More/Caption}}",
"description": "{{$:/language/Buttons/More/Hint}}",
"text": "\\define config-title()\n$:/config/PageControlButtons/Visibility/$(listItem)$\n\\end\n<$button popup=<<qualify \"$:/state/popup/more\">> tooltip={{$:/language/Buttons/More/Hint}} aria-label={{$:/language/Buttons/More/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/down-arrow}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/More/Caption}}/></span>\n</$list>\n</$button>\n<$reveal state=<<qualify \"$:/state/popup/more\">> type=\"popup\" position=\"below\" animate=\"yes\">\n\n<div class=\"tc-drop-down\">\n\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-class\" value=\"tc-btn-invisible\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/PageControls]!has[draft.of]] -[[$:/core/ui/Buttons/more-page-actions]]\" variable=\"listItem\">\n\n<$reveal type=\"match\" state=<<config-title>> text=\"hide\">\n\n<$transclude tiddler=<<listItem>> mode=\"inline\"/>\n\n</$reveal>\n\n</$list>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</div>\n\n</$reveal>"
},
"$:/core/ui/Buttons/new-journal": {
"title": "$:/core/ui/Buttons/new-journal",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/new-journal-button}} {{$:/language/Buttons/NewJournal/Caption}}",
"description": "{{$:/language/Buttons/NewJournal/Hint}}",
"text": "\\define journalButton()\n<$button tooltip={{$:/language/Buttons/NewJournal/Hint}} aria-label={{$:/language/Buttons/NewJournal/Caption}} class=<<tv-config-toolbar-class>>>\n<$action-sendmessage $message=\"tm-new-tiddler\" title=<<now \"$(journalTitleTemplate)$\">> tags=\"$(journalTags)$\"/>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/new-journal-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/NewJournal/Caption}}/></span>\n</$list>\n</$button>\n\\end\n<$set name=\"journalTitleTemplate\" value={{$:/config/NewJournal/Title}}>\n<$set name=\"journalTags\" value={{$:/config/NewJournal/Tags}}>\n<<journalButton>>\n</$set></$set>"
},
"$:/core/ui/Buttons/new-tiddler": {
"title": "$:/core/ui/Buttons/new-tiddler",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/new-button}} {{$:/language/Buttons/NewTiddler/Caption}}",
"description": "{{$:/language/Buttons/NewTiddler/Hint}}",
"text": "<$button message=\"tm-new-tiddler\" tooltip={{$:/language/Buttons/NewTiddler/Hint}} aria-label={{$:/language/Buttons/NewTiddler/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/new-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/NewTiddler/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/refresh": {
"title": "$:/core/ui/Buttons/refresh",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/refresh-button}} {{$:/language/Buttons/Refresh/Caption}}",
"description": "{{$:/language/Buttons/Refresh/Hint}}",
"text": "<$button message=\"tm-browser-refresh\" tooltip={{$:/language/Buttons/Refresh/Hint}} aria-label={{$:/language/Buttons/Refresh/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/refresh-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Refresh/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/save-wiki": {
"title": "$:/core/ui/Buttons/save-wiki",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/save-button}} {{$:/language/Buttons/SaveWiki/Caption}}",
"description": "{{$:/language/Buttons/SaveWiki/Hint}}",
"text": "<$button message=\"tm-save-wiki\" param={{$:/config/SaveWikiButton/Template}} tooltip={{$:/language/Buttons/SaveWiki/Hint}} aria-label={{$:/language/Buttons/SaveWiki/Caption}} class=<<tv-config-toolbar-class>>>\n<span class=\"tc-dirty-indicator\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/save-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/SaveWiki/Caption}}/></span>\n</$list>\n</span>\n</$button>"
},
"$:/core/ui/Buttons/storyview": {
"title": "$:/core/ui/Buttons/storyview",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/storyview-classic}} {{$:/language/Buttons/StoryView/Caption}}",
"description": "{{$:/language/Buttons/StoryView/Hint}}",
"text": "\\define icon()\n$:/core/images/storyview-$(storyview)$\n\\end\n<span class=\"tc-popup-keep\">\n<$button popup=<<qualify \"$:/state/popup/storyview\">> tooltip={{$:/language/Buttons/StoryView/Hint}} aria-label={{$:/language/Buttons/StoryView/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n<$set name=\"storyview\" value={{$:/view}}>\n<$transclude tiddler=<<icon>>/>\n</$set>\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/StoryView/Caption}}/></span>\n</$list>\n</$button>\n</span>\n<$reveal state=<<qualify \"$:/state/popup/storyview\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down\">\n<$linkcatcher to=\"$:/view\">\n<$list filter=\"[storyviews[]]\" variable=\"storyview\">\n<$link to=<<storyview>>>\n<span class=\"tc-drop-down-bullet\">\n<$reveal type=\"match\" state=\"$:/view\" text=<<storyview>>>\n•\n</$reveal>\n<$reveal type=\"nomatch\" state=\"$:/view\" text=<<storyview>>>\n \n</$reveal>\n</span>\n<$transclude tiddler=<<icon>>/>\n<$text text=<<storyview>>/></$link>\n</$list>\n</$linkcatcher>\n</div>\n</$reveal>"
},
"$:/core/ui/Buttons/tag-manager": {
"title": "$:/core/ui/Buttons/tag-manager",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/tag-button}} {{$:/language/Buttons/TagManager/Caption}}",
"description": "{{$:/language/Buttons/TagManager/Hint}}",
"text": "<$button to=\"$:/TagManager\" tooltip={{$:/language/Buttons/TagManager/Hint}} aria-label={{$:/language/Buttons/TagManager/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/tag-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/TagManager/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/theme": {
"title": "$:/core/ui/Buttons/theme",
"tags": "$:/tags/PageControls",
"caption": "{{$:/core/images/theme-button}} {{$:/language/Buttons/Theme/Caption}}",
"description": "{{$:/language/Buttons/Theme/Hint}}",
"text": "<span class=\"tc-popup-keep\">\n<$button popup=<<qualify \"$:/state/popup/theme\">> tooltip={{$:/language/Buttons/Theme/Hint}} aria-label={{$:/language/Buttons/Theme/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/theme-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Theme/Caption}}/></span>\n</$list>\n</$button>\n</span>\n<$reveal state=<<qualify \"$:/state/popup/theme\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down\">\n<$linkcatcher to=\"$:/theme\">\n<$list filter=\"[plugin-type[theme]sort[title]]\" variable=\"themeTitle\">\n<$link to=<<themeTitle>>>\n<span class=\"tc-drop-down-bullet\">\n<$reveal type=\"match\" state=\"$:/theme\" text=<<themeTitle>>>\n•\n</$reveal>\n<$reveal type=\"nomatch\" state=\"$:/theme\" text=<<themeTitle>>>\n \n</$reveal>\n</span>\n<$view tiddler=<<themeTitle>> field=\"name\"/>\n</$link>\n</$list>\n</$linkcatcher>\n</div>\n</$reveal>"
},
"$:/core/ui/PageTemplate/pagecontrols": {
"title": "$:/core/ui/PageTemplate/pagecontrols",
"text": "\\define config-title()\n$:/config/PageControlButtons/Visibility/$(listItem)$\n\\end\n<div class=\"tc-page-controls\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/PageControls]!has[draft.of]]\" variable=\"listItem\">\n<$reveal type=\"nomatch\" state=<<config-title>> text=\"hide\">\n<$transclude tiddler=<<listItem>> mode=\"inline\"/>\n</$reveal>\n</$list>\n</div>\n\n"
},
"$:/core/ui/PageStylesheet": {
"title": "$:/core/ui/PageStylesheet",
"text": "<$importvariables filter=\"[[$:/core/ui/PageMacros]] [all[shadows+tiddlers]tag[$:/tags/Macro]!has[draft.of]]\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/Stylesheet]!has[draft.of]]\">\n<$transclude mode=\"block\"/>\n</$list>\n\n</$importvariables>\n"
},
"$:/core/ui/PageTemplate/alerts": {
"title": "$:/core/ui/PageTemplate/alerts",
"tags": "$:/tags/PageTemplate",
"text": "<div class=\"tc-alerts\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/Alert]!has[draft.of]]\" template=\"$:/core/ui/AlertTemplate\" storyview=\"pop\"/>\n\n</div>\n"
},
"$:/core/ui/PageTemplate/sidebar": {
"title": "$:/core/ui/PageTemplate/sidebar",
"tags": "$:/tags/PageTemplate",
"text": "<$scrollable fallthrough=\"no\" class=\"tc-sidebar-scrollable\">\n\n<div class=\"tc-sidebar-header\">\n\n<$reveal state=\"$:/state/sidebar\" type=\"match\" text=\"yes\" default=\"yes\" retain=\"yes\">\n\n<h1 class=\"tc-site-title\">\n\n<$transclude tiddler=\"$:/SiteTitle\" mode=\"inline\"/>\n\n</h1>\n\n<div class=\"tc-site-subtitle\">\n\n<$transclude tiddler=\"$:/SiteSubtitle\" mode=\"inline\"/>\n\n</div>\n\n{{||$:/core/ui/PageTemplate/pagecontrols}}\n\n<$transclude tiddler=\"$:/core/ui/SideBarLists\" mode=\"inline\"/>\n\n</$reveal>\n\n</div>\n\n</$scrollable>"
},
"$:/core/ui/PageTemplate/story": {
"title": "$:/core/ui/PageTemplate/story",
"tags": "$:/tags/PageTemplate",
"text": "<section class=\"tc-story-river\">\n\n<section class=\"story-backdrop\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/AboveStory]!has[draft.of]]\">\n\n<$transclude/>\n\n</$list>\n\n</section>\n\n<$list filter=\"[list[$:/StoryList]]\" history=\"$:/HistoryList\" template=\"$:/core/ui/ViewTemplate\" editTemplate=\"$:/core/ui/EditTemplate\" storyview={{$:/view}} />\n\n<section class=\"story-frontdrop\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/BelowStory]!has[draft.of]]\">\n\n<$transclude/>\n\n</$list>\n\n</section>\n\n</section>\n"
},
"$:/core/ui/PageTemplate/topleftbar": {
"title": "$:/core/ui/PageTemplate/topleftbar",
"tags": "$:/tags/PageTemplate",
"text": "<span class=\"tc-topbar tc-topbar-left\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/TopLeftBar]!has[draft.of]]\" variable=\"listItem\">\n\n<$transclude tiddler=<<listItem>> mode=\"inline\"/>\n\n</$list>\n\n</span>\n"
},
"$:/core/ui/PageTemplate/toprightbar": {
"title": "$:/core/ui/PageTemplate/toprightbar",
"tags": "$:/tags/PageTemplate",
"text": "<span class=\"tc-topbar tc-topbar-right\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/TopRightBar]!has[draft.of]]\" variable=\"listItem\">\n\n<$transclude tiddler=<<listItem>> mode=\"inline\"/>\n\n</$list>\n\n</span>\n"
},
"$:/core/ui/PageTemplate": {
"title": "$:/core/ui/PageTemplate",
"text": "\\define containerClasses()\ntc-page-container tc-page-view-$(themeTitle)$ tc-language-$(languageTitle)$\n\\end\n\n<$importvariables filter=\"[[$:/core/ui/PageMacros]] [all[shadows+tiddlers]tag[$:/tags/Macro]!has[draft.of]]\">\n\n<$set name=\"tv-config-toolbar-icons\" value={{$:/config/Toolbar/Icons}}>\n\n<$set name=\"tv-config-toolbar-text\" value={{$:/config/Toolbar/Text}}>\n\n<$set name=\"tv-config-toolbar-class\" value=\"tc-btn-invisible\">\n\n<$set name=\"themeTitle\" value={{$:/view}}>\n\n<$set name=\"currentTiddler\" value={{$:/language}}>\n\n<$set name=\"languageTitle\" value={{!!name}}>\n\n<$set name=\"currentTiddler\" value=\"\">\n\n<div class=<<containerClasses>>>\n\n<$navigator story=\"$:/StoryList\" history=\"$:/HistoryList\">\n\n<$dropzone>\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/PageTemplate]!has[draft.of]]\" variable=\"listItem\">\n\n<$transclude tiddler=<<listItem>>/>\n\n</$list>\n\n</$dropzone>\n\n</$navigator>\n\n</div>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</$set>\n\n</$importvariables>\n"
},
"$:/core/ui/PluginInfo": {
"title": "$:/core/ui/PluginInfo",
"text": "\\define localised-info-tiddler-title()\n$(currentTiddler)$/$(languageTitle)$/$(currentTab)$\n\\end\n\\define info-tiddler-title()\n$(currentTiddler)$/$(currentTab)$\n\\end\n<$transclude tiddler=<<localised-info-tiddler-title>> mode=\"block\">\n<$transclude tiddler=<<currentTiddler>> subtiddler=<<localised-info-tiddler-title>> mode=\"block\">\n<$transclude tiddler=<<currentTiddler>> subtiddler=<<info-tiddler-title>> mode=\"block\">\nNo ''\"<$text text=<<currentTab>>/>\"'' found\n</$transclude>\n</$transclude>\n</$transclude>\n"
},
"$:/core/ui/SearchResults": {
"title": "$:/core/ui/SearchResults",
"text": "<div class=\"tc-search-results\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]butfirst[]limit[1]]\" emptyMessage=\"\"\"\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]]\">\n<$transclude mode=\"block\"/>\n</$list>\n\"\"\">\n<$macrocall $name=\"tabs\" tabsList=\"[all[shadows+tiddlers]tag[$:/tags/SearchResults]!has[draft.of]]\" default={{$:/config/SearchResults/Default}}/>\n</$list>\n\n</div>\n"
},
"$:/core/ui/SideBar/More": {
"title": "$:/core/ui/SideBar/More",
"tags": "$:/tags/SideBar",
"caption": "{{$:/language/SideBar/More/Caption}}",
"text": "<div class=\"tc-more-sidebar\">\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/MoreSideBar]!has[draft.of]]\" \"$:/core/ui/MoreSideBar/Tags\" \"$:/state/tab/moresidebar\" \"tc-vertical\">>\n</div>\n"
},
"$:/core/ui/SideBar/Open": {
"title": "$:/core/ui/SideBar/Open",
"tags": "$:/tags/SideBar",
"caption": "{{$:/language/SideBar/Open/Caption}}",
"text": "\\define lingo-base() $:/language/CloseAll/\n<$list filter=\"[list[$:/StoryList]]\" history=\"$:/HistoryList\" storyview=\"pop\">\n\n<$button message=\"tm-close-tiddler\" tooltip={{$:/language/Buttons/Close/Hint}} aria-label={{$:/language/Buttons/Close/Caption}} class=\"tc-btn-invisible tc-btn-mini\">×</$button> <$link to={{!!title}}><$view field=\"title\"/></$link>\n\n</$list>\n\n<$button message=\"tm-close-all-tiddlers\" class=\"tc-btn-invisible tc-btn-mini\"><<lingo Button>></$button>\n"
},
"$:/core/ui/SideBar/Recent": {
"title": "$:/core/ui/SideBar/Recent",
"tags": "$:/tags/SideBar",
"caption": "{{$:/language/SideBar/Recent/Caption}}",
"text": "<$macrocall $name=\"timeline\" format={{$:/language/RecentChanges/DateFormat}}/>\n"
},
"$:/core/ui/SideBar/Tools": {
"title": "$:/core/ui/SideBar/Tools",
"tags": "$:/tags/SideBar",
"caption": "{{$:/language/SideBar/Tools/Caption}}",
"text": "\\define lingo-base() $:/language/ControlPanel/\n\\define config-title()\n$:/config/PageControlButtons/Visibility/$(listItem)$\n\\end\n\n<<lingo Basics/Version/Prompt>> <<version>>\n\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-class\" value=\"\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/PageControls]!has[draft.of]]\" variable=\"listItem\">\n\n<div style=\"position:relative;\">\n\n<$checkbox tiddler=<<config-title>> field=\"text\" checked=\"show\" unchecked=\"hide\" default=\"show\"/> <$transclude tiddler=<<listItem>>/> <i class=\"tc-muted\"><$transclude tiddler=<<listItem>> field=\"description\"/></i>\n\n</div>\n\n</$list>\n\n</$set>\n\n</$set>\n\n</$set>\n"
},
"$:/core/ui/SideBarLists": {
"title": "$:/core/ui/SideBarLists",
"text": "<div class=\"tc-sidebar-lists\">\n\n<div class=\"tc-search\">\n<$edit-text tiddler=\"$:/temp/search\" type=\"search\" tag=\"input\"/>\n<$reveal state=\"$:/temp/search\" type=\"nomatch\" text=\"\">\n<$button tooltip={{$:/language/Buttons/AdvancedSearch/Hint}} aria-label={{$:/language/Buttons/AdvancedSearch/Caption}} class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/advancedsearch\" text={{$:/temp/search}}/>\n<$action-setfield $tiddler=\"$:/temp/search\" text=\"\"/>\n<$action-navigate $to=\"$:/AdvancedSearch\"/>\n{{$:/core/images/advanced-search-button}}\n</$button>\n<$button class=\"tc-btn-invisible\">\n<$action-setfield $tiddler=\"$:/temp/search\" text=\"\" />\n{{$:/core/images/close-button}}\n</$button>\n</$reveal>\n<$reveal state=\"$:/temp/search\" type=\"match\" text=\"\">\n<$button to=\"$:/AdvancedSearch\" tooltip={{$:/language/Buttons/AdvancedSearch/Hint}} aria-label={{$:/language/Buttons/AdvancedSearch/Caption}} class=\"tc-btn-invisible\">\n{{$:/core/images/advanced-search-button}}\n</$button>\n</$reveal>\n</div>\n\n<$reveal state=\"$:/temp/search\" type=\"nomatch\" text=\"\">\n\n<$set name=\"searchTiddler\" value=\"$:/temp/search\">\n{{$:/core/ui/SearchResults}}\n</$set>\n\n</$reveal>\n\n<$reveal state=\"$:/temp/search\" type=\"match\" text=\"\">\n\n<<tabs \"[all[shadows+tiddlers]tag[$:/tags/SideBar]!has[draft.of]]\" \"$:/core/ui/SideBar/Open\" \"$:/state/tab/sidebar\">>\n\n</$reveal>\n\n</div>\n"
},
"$:/TagManager": {
"title": "$:/TagManager",
"text": "\\define lingo-base() $:/language/TagManager/\n\\define iconEditorTab(type)\n<$list filter=\"[all[shadows+tiddlers]is[image]] [all[shadows+tiddlers]tag[$:/tags/Image]] -[type[application/pdf]] +[sort[title]] +[$type$is[system]]\">\n<$link to={{!!title}}>\n<$transclude/> <$view field=\"title\"/>\n</$link>\n</$list>\n\\end\n\\define iconEditor(title)\n<div class=\"tc-drop-down-wrapper\">\n<$button popup=<<qualify \"$:/state/popup/icon/$title$\">> class=\"tc-btn-invisible tc-btn-dropdown\">{{$:/core/images/down-arrow}}</$button>\n<$reveal state=<<qualify \"$:/state/popup/icon/$title$\">> type=\"popup\" position=\"belowleft\" text=\"\" default=\"\">\n<div class=\"tc-drop-down\">\n<$linkcatcher to=\"$title$!!icon\">\n<<iconEditorTab type:\"!\">>\n<hr/>\n<<iconEditorTab type:\"\">>\n</$linkcatcher>\n</div>\n</$reveal>\n</div>\n\\end\n\\define qualifyTitle(title)\n$title$$(currentTiddler)$\n\\end\n\\define toggleButton(state)\n<$reveal state=\"$state$\" type=\"match\" text=\"closed\" default=\"closed\">\n<$button set=\"$state$\" setTo=\"open\" class=\"tc-btn-invisible tc-btn-dropdown\" selectedClass=\"tc-selected\">\n{{$:/core/images/info-button}}\n</$button>\n</$reveal>\n<$reveal state=\"$state$\" type=\"match\" text=\"open\" default=\"closed\">\n<$button set=\"$state$\" setTo=\"closed\" class=\"tc-btn-invisible tc-btn-dropdown\" selectedClass=\"tc-selected\">\n{{$:/core/images/info-button}}\n</$button>\n</$reveal>\n\\end\n<table class=\"tc-tag-manager-table\">\n<tbody>\n<tr>\n<th><<lingo Colour/Heading>></th>\n<th class=\"tc-tag-manager-tag\"><<lingo Tag/Heading>></th>\n<th><<lingo Icon/Heading>></th>\n<th><<lingo Info/Heading>></th>\n</tr>\n<$list filter=\"[tags[]!is[system]sort[title]]\">\n<tr>\n<td><$edit-text field=\"color\" tag=\"input\" type=\"color\"/></td>\n<td><$transclude tiddler=\"$:/core/ui/TagTemplate\"/></td>\n<td>\n<$macrocall $name=\"iconEditor\" title={{!!title}}/>\n</td>\n<td>\n<$macrocall $name=\"toggleButton\" state=<<qualifyTitle \"$:/state/tag-manager/\">> /> \n</td>\n</tr>\n<tr>\n<td></td>\n<td>\n<$reveal state=<<qualifyTitle \"$:/state/tag-manager/\">> type=\"match\" text=\"open\" default=\"\">\n<table>\n<tbody>\n<tr><td><<lingo Colour/Heading>></td><td><$edit-text field=\"color\" tag=\"input\" type=\"text\" size=\"9\"/></td></tr>\n<tr><td><<lingo Icon/Heading>></td><td><$edit-text field=\"icon\" tag=\"input\" size=\"45\"/></td></tr>\n</tbody>\n</table>\n</$reveal>\n</td>\n<td></td>\n<td></td>\n</tr>\n</$list>\n</tbody>\n</table>\n"
},
"$:/core/ui/TagTemplate": {
"title": "$:/core/ui/TagTemplate",
"text": "\\define tag-styles()\nbackground-color:$(backgroundColor)$;\nfill:$(foregroundColor)$;\ncolor:$(foregroundColor)$;\n\\end\n\n\\define tag-body-inner(colour,fallbackTarget,colourA,colourB)\n<$set name=\"foregroundColor\" value=<<contrastcolour target:\"\"\"$colour$\"\"\" fallbackTarget:\"\"\"$fallbackTarget$\"\"\" colourA:\"\"\"$colourA$\"\"\" colourB:\"\"\"$colourB$\"\"\">>>\n<$set name=\"backgroundColor\" value=\"\"\"$colour$\"\"\">\n<$button popup=<<qualify \"$:/state/popup/tag\">> class=\"tc-btn-invisible tc-tag-label\" style=<<tag-styles>>>\n<$transclude tiddler={{!!icon}}/> <$view field=\"title\" format=\"text\" />\n</$button>\n<$reveal state=<<qualify \"$:/state/popup/tag\">> type=\"popup\" position=\"below\" animate=\"yes\"><div class=\"tc-drop-down\"><$transclude tiddler=\"$:/core/ui/ListItemTemplate\"/>\n<hr>\n<$list filter=\"[all[current]tagging[]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n</div>\n</$reveal>\n</$set>\n</$set>\n\\end\n\n\\define tag-body(colour,palette)\n<span class=\"tc-tag-list-item\">\n<$macrocall $name=\"tag-body-inner\" colour=\"\"\"$colour$\"\"\" fallbackTarget={{$palette$##tag-background}} colourA={{$palette$##foreground}} colourB={{$palette$##background}}/>\n</span>\n\\end\n\n<$macrocall $name=\"tag-body\" colour={{!!color}} palette={{$:/palette}}/>\n"
},
"$:/core/ui/TiddlerFieldTemplate": {
"title": "$:/core/ui/TiddlerFieldTemplate",
"text": "<tr class=\"tc-view-field\">\n<td class=\"tc-view-field-name\">\n<$text text=<<listItem>>/>\n</td>\n<td class=\"tc-view-field-value\">\n<$view field=<<listItem>>/>\n</td>\n</tr>"
},
"$:/core/ui/TiddlerFields": {
"title": "$:/core/ui/TiddlerFields",
"text": "<table class=\"tc-view-field-table\">\n<tbody>\n<$list filter=\"[all[current]fields[]sort[title]] -text\" template=\"$:/core/ui/TiddlerFieldTemplate\" variable=\"listItem\"/>\n</tbody>\n</table>\n"
},
"$:/core/ui/TiddlerInfo/Advanced/PluginInfo": {
"title": "$:/core/ui/TiddlerInfo/Advanced/PluginInfo",
"tags": "$:/tags/TiddlerInfo/Advanced",
"text": "\\define lingo-base() $:/language/TiddlerInfo/Advanced/PluginInfo/\n<$list filter=\"[all[current]has[plugin-type]]\">\n\n! <<lingo Heading>>\n\n<<lingo Hint>>\n<ul>\n<$list filter=\"[all[current]plugintiddlers[]sort[title]]\" emptyMessage=<<lingo Empty/Hint>>>\n<li>\n<$link to={{!!title}}>\n<$view field=\"title\"/>\n</$link>\n</li>\n</$list>\n</ul>\n\n</$list>\n"
},
"$:/core/ui/TiddlerInfo/Advanced/ShadowInfo": {
"title": "$:/core/ui/TiddlerInfo/Advanced/ShadowInfo",
"tags": "$:/tags/TiddlerInfo/Advanced",
"text": "\\define lingo-base() $:/language/TiddlerInfo/Advanced/ShadowInfo/\n<$set name=\"infoTiddler\" value=<<currentTiddler>>>\n\n''<<lingo Heading>>''\n\n<$list filter=\"[all[current]!is[shadow]]\">\n\n<<lingo NotShadow/Hint>>\n\n</$list>\n\n<$list filter=\"[all[current]is[shadow]]\">\n\n<<lingo Shadow/Hint>>\n\n<$list filter=\"[all[current]shadowsource[]]\">\n\n<$set name=\"pluginTiddler\" value=<<currentTiddler>>>\n<<lingo Shadow/Source>>\n</$set>\n\n</$list>\n\n<$list filter=\"[all[current]is[shadow]is[tiddler]]\">\n\n<<lingo OverriddenShadow/Hint>>\n\n</$list>\n\n\n</$list>\n</$set>\n"
},
"$:/core/ui/TiddlerInfo/Advanced": {
"title": "$:/core/ui/TiddlerInfo/Advanced",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/Advanced/Caption}}",
"text": "<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/TiddlerInfo/Advanced]!has[draft.of]]\" variable=\"listItem\">\n<$transclude tiddler=<<listItem>>/>\n\n</$list>\n"
},
"$:/core/ui/TiddlerInfo/Fields": {
"title": "$:/core/ui/TiddlerInfo/Fields",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/Fields/Caption}}",
"text": "<$transclude tiddler=\"$:/core/ui/TiddlerFields\"/>\n"
},
"$:/core/ui/TiddlerInfo/List": {
"title": "$:/core/ui/TiddlerInfo/List",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/List/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n<$list filter=\"[list{!!title}]\" emptyMessage=<<lingo List/Empty>> template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/TiddlerInfo/Listed": {
"title": "$:/core/ui/TiddlerInfo/Listed",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/Listed/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n<$list filter=\"[all[current]listed[]!is[system]]\" emptyMessage=<<lingo Listed/Empty>> template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/TiddlerInfo/References": {
"title": "$:/core/ui/TiddlerInfo/References",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/References/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n<$list filter=\"[all[current]backlinks[]sort[title]]\" emptyMessage=<<lingo References/Empty>> template=\"$:/core/ui/ListItemTemplate\">\n</$list>\n"
},
"$:/core/ui/TiddlerInfo/Tagging": {
"title": "$:/core/ui/TiddlerInfo/Tagging",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/Tagging/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n<$list filter=\"[all[current]tagging[]]\" emptyMessage=<<lingo Tagging/Empty>> template=\"$:/core/ui/ListItemTemplate\"/>\n"
},
"$:/core/ui/TiddlerInfo/Tools": {
"title": "$:/core/ui/TiddlerInfo/Tools",
"tags": "$:/tags/TiddlerInfo",
"caption": "{{$:/language/TiddlerInfo/Tools/Caption}}",
"text": "\\define lingo-base() $:/language/TiddlerInfo/\n\\define config-title()\n$:/config/ViewToolbarButtons/Visibility/$(listItem)$\n\\end\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n\n<$set name=\"tv-config-toolbar-class\" value=\"\">\n\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ViewToolbar]!has[draft.of]]\" variable=\"listItem\">\n\n<$checkbox tiddler=<<config-title>> field=\"text\" checked=\"show\" unchecked=\"hide\" default=\"show\"/> <$transclude tiddler=<<listItem>>/> <i class=\"tc-muted\"><$transclude tiddler=<<listItem>> field=\"description\"/></i>\n\n</$list>\n\n</$set>\n\n</$set>\n\n</$set>\n"
},
"$:/core/ui/TiddlerInfo": {
"title": "$:/core/ui/TiddlerInfo",
"text": "<$macrocall $name=\"tabs\" tabsList=\"[all[shadows+tiddlers]tag[$:/tags/TiddlerInfo]!has[draft.of]]\" default={{$:/config/TiddlerInfo/Default}}/>"
},
"$:/core/ui/TopBar/menu": {
"title": "$:/core/ui/TopBar/menu",
"tags": "$:/tags/TopRightBar",
"text": "<$reveal state=\"$:/state/sidebar\" type=\"nomatch\" text=\"no\">\n<$button set=\"$:/state/sidebar\" setTo=\"no\" tooltip={{$:/language/Buttons/HideSideBar/Hint}} aria-label={{$:/language/Buttons/HideSideBar/Caption}} class=\"tc-btn-invisible\">{{$:/core/images/chevron-right}}</$button>\n</$reveal>\n<$reveal state=\"$:/state/sidebar\" type=\"match\" text=\"no\">\n<$button set=\"$:/state/sidebar\" setTo=\"yes\" tooltip={{$:/language/Buttons/ShowSideBar/Hint}} aria-label={{$:/language/Buttons/ShowSideBar/Caption}} class=\"tc-btn-invisible\">{{$:/core/images/chevron-left}}</$button>\n</$reveal>\n"
},
"$:/core/ui/UntaggedTemplate": {
"title": "$:/core/ui/UntaggedTemplate",
"text": "\\define lingo-base() $:/language/SideBar/\n<$button popup=<<qualify \"$:/state/popup/tag\">> class=\"tc-btn-invisible tc-untagged-label tc-tag-label\">\n<<lingo Tags/Untagged/Caption>>\n</$button>\n<$reveal state=<<qualify \"$:/state/popup/tag\">> type=\"popup\" position=\"below\">\n<div class=\"tc-drop-down\">\n<$list filter=\"[untagged[]!is[system]] -[tags[]] +[sort[title]]\" template=\"$:/core/ui/ListItemTemplate\"/>\n</div>\n</$reveal>\n"
},
"$:/core/ui/ViewTemplate/body": {
"title": "$:/core/ui/ViewTemplate/body",
"tags": "$:/tags/ViewTemplate",
"text": "<div class=\"tc-tiddler-body\">\n\n<$list filter=\"[all[current]!has[plugin-type]!field:hide-body[yes]]\">\n\n<$transclude>\n\n<$transclude tiddler=\"$:/language/MissingTiddler/Hint\"/>\n\n</$transclude>\n\n</$list>\n\n</div>\n"
},
"$:/core/ui/ViewTemplate/classic": {
"title": "$:/core/ui/ViewTemplate/classic",
"tags": "$:/tags/ViewTemplate $:/tags/EditTemplate",
"text": "\\define lingo-base() $:/language/ClassicWarning/\n<$list filter=\"[all[current]type[text/x-tiddlywiki]]\">\n<div class=\"tc-message-box\">\n\n<<lingo Hint>>\n\n<$button set=\"!!type\" setTo=\"text/vnd.tiddlywiki\"><<lingo Upgrade/Caption>></$button>\n\n</div>\n</$list>\n"
},
"$:/core/ui/ViewTemplate/import": {
"title": "$:/core/ui/ViewTemplate/import",
"tags": "$:/tags/ViewTemplate",
"text": "\\define lingo-base() $:/language/Import/\n\n<$list filter=\"[all[current]field:plugin-type[import]]\">\n\n<div class=\"tc-import\">\n\n<<lingo Listing/Hint>>\n\n{{||$:/core/ui/ImportListing}}\n\n<$button message=\"tm-delete-tiddler\" param=<<currentTiddler>>><<lingo Listing/Cancel/Caption>></$button>\n<$button message=\"tm-perform-import\" param=<<currentTiddler>>><<lingo Listing/Import/Caption>></$button>\n\n</div>\n\n</$list>\n"
},
"$:/core/ui/ViewTemplate/plugin": {
"title": "$:/core/ui/ViewTemplate/plugin",
"tags": "$:/tags/ViewTemplate",
"text": "<$list filter=\"[all[current]has[plugin-type]] -[all[current]field:plugin-type[import]]\">\n\n{{||$:/core/ui/TiddlerInfo/Advanced/PluginInfo}}\n\n</$list>\n"
},
"$:/core/ui/ViewTemplate/subtitle": {
"title": "$:/core/ui/ViewTemplate/subtitle",
"tags": "$:/tags/ViewTemplate",
"text": "<div class=\"tc-subtitle\">\n<$link to={{!!modifier}}>\n<$view field=\"modifier\"/>\n</$link> <$view field=\"modified\" format=\"relativedate\"/>\n</div>\n"
},
"$:/core/ui/ViewTemplate/tags": {
"title": "$:/core/ui/ViewTemplate/tags",
"tags": "$:/tags/ViewTemplate",
"text": "<div class=\"tc-tags-wrapper\"><$list filter=\"[all[current]tags[]sort[title]]\" template=\"$:/core/ui/TagTemplate\" storyview=\"pop\"/></div>\n"
},
"$:/core/ui/ViewTemplate/title": {
"title": "$:/core/ui/ViewTemplate/title",
"tags": "$:/tags/ViewTemplate",
"text": "\\define title-styles()\nfill:$(foregroundColor)$;\n\\end\n\\define config-title()\n$:/config/ViewToolbarButtons/Visibility/$(listItem)$\n\\end\n<div class=\"tc-tiddler-title\">\n<div class=\"tc-titlebar\">\n<span class=\"tc-tiddler-controls\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ViewToolbar]!has[draft.of]]\" variable=\"listItem\"><$reveal type=\"nomatch\" state=<<config-title>> text=\"hide\"><$transclude tiddler=<<listItem>>/></$reveal></$list>\n</span>\n<$set name=\"foregroundColor\" value={{!!color}}>\n<span class=\"tc-tiddler-title-icon\" style=<<title-styles>>>\n<$transclude tiddler={{!!icon}}/>\n</span>\n</$set>\n<$list filter=\"[all[current]removeprefix[$:/]]\">\n<h2 class=\"tc-title\" title={{$:/language/SystemTiddler/Tooltip}}>\n<span class=\"tc-system-title-prefix\">$:/</span><$text text=<<currentTiddler>>/>\n</h2>\n</$list>\n<$list filter=\"[all[current]!prefix[$:/]]\">\n<h2 class=\"tc-title\">\n<$view field=\"title\"/>\n</h2>\n</$list>\n</div>\n\n<$reveal type=\"nomatch\" text=\"\" default=\"\" state=<<tiddlerInfoState>> class=\"tc-tiddler-info tc-popup-handle\" animate=\"yes\" retain=\"yes\">\n\n<$transclude tiddler=\"$:/core/ui/TiddlerInfo\"/>\n\n</$reveal>\n</div>"
},
"$:/core/ui/ViewTemplate": {
"title": "$:/core/ui/ViewTemplate",
"text": "\\define frame-classes()\ntc-tiddler-frame tc-tiddler-view-frame $(missingTiddlerClass)$ $(shadowTiddlerClass)$ $(systemTiddlerClass)$ $(tiddlerTagClasses)$\n\\end\n<$set name=\"storyTiddler\" value=<<currentTiddler>>><$set name=\"tiddlerInfoState\" value=<<qualify \"$:/state/popup/tiddler-info\">>><$tiddler tiddler=<<currentTiddler>>><div class=<<frame-classes>>><$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ViewTemplate]!has[draft.of]]\" variable=\"listItem\"><$transclude tiddler=<<listItem>>/></$list>\n</div>\n</$tiddler></$set></$set>\n"
},
"$:/core/ui/Buttons/clone": {
"title": "$:/core/ui/Buttons/clone",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/clone-button}} {{$:/language/Buttons/Clone/Caption}}",
"description": "{{$:/language/Buttons/Clone/Hint}}",
"text": "<$button message=\"tm-new-tiddler\" param=<<currentTiddler>> tooltip={{$:/language/Buttons/Clone/Hint}} aria-label={{$:/language/Buttons/Clone/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/clone-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Clone/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/close-others": {
"title": "$:/core/ui/Buttons/close-others",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/close-others-button}} {{$:/language/Buttons/CloseOthers/Caption}}",
"description": "{{$:/language/Buttons/CloseOthers/Hint}}",
"text": "<$button message=\"tm-close-other-tiddlers\" param=<<currentTiddler>> tooltip={{$:/language/Buttons/CloseOthers/Hint}} aria-label={{$:/language/Buttons/CloseOthers/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/close-others-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/CloseOthers/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/close": {
"title": "$:/core/ui/Buttons/close",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/close-button}} {{$:/language/Buttons/Close/Caption}}",
"description": "{{$:/language/Buttons/Close/Hint}}",
"text": "<$button message=\"tm-close-tiddler\" tooltip={{$:/language/Buttons/Close/Hint}} aria-label={{$:/language/Buttons/Close/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/close-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Close/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/edit": {
"title": "$:/core/ui/Buttons/edit",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/edit-button}} {{$:/language/Buttons/Edit/Caption}}",
"description": "{{$:/language/Buttons/Edit/Hint}}",
"text": "<$button message=\"tm-edit-tiddler\" tooltip={{$:/language/Buttons/Edit/Hint}} aria-label={{$:/language/Buttons/Edit/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/edit-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Edit/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/export-tiddler": {
"title": "$:/core/ui/Buttons/export-tiddler",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/export-button}} {{$:/language/Buttons/ExportTiddler/Caption}}",
"description": "{{$:/language/Buttons/ExportTiddler/Hint}}",
"text": "\\define makeExportFilter()\n[[$(currentTiddler)$]]\n\\end\n<$macrocall $name=\"exportButton\" exportFilter=<<makeExportFilter>> lingoBase=\"$:/language/Buttons/ExportTiddler/\" baseFilename=<<currentTiddler>>/>"
},
"$:/core/ui/Buttons/info": {
"title": "$:/core/ui/Buttons/info",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/info-button}} {{$:/language/Buttons/Info/Caption}}",
"description": "{{$:/language/Buttons/Info/Hint}}",
"text": "<$button popup=<<tiddlerInfoState>> tooltip={{$:/language/Buttons/Info/Hint}} aria-label={{$:/language/Buttons/Info/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/info-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Info/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/more-tiddler-actions": {
"title": "$:/core/ui/Buttons/more-tiddler-actions",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/down-arrow}} {{$:/language/Buttons/More/Caption}}",
"description": "{{$:/language/Buttons/More/Hint}}",
"text": "\\define config-title()\n$:/config/ViewToolbarButtons/Visibility/$(listItem)$\n\\end\n<$button popup=<<qualify \"$:/state/popup/more\">> tooltip={{$:/language/Buttons/More/Hint}} aria-label={{$:/language/Buttons/More/Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/down-arrow}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/More/Caption}}/></span>\n</$list>\n</$button><$reveal state=<<qualify \"$:/state/popup/more\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down\">\n<$set name=\"tv-config-toolbar-icons\" value=\"yes\">\n<$set name=\"tv-config-toolbar-text\" value=\"yes\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/ViewToolbar]!has[draft.of]] -[[$:/core/ui/Buttons/more-tiddler-actions]]\" variable=\"listItem\">\n<$reveal type=\"match\" state=<<config-title>> text=\"hide\">\n<$transclude tiddler=<<listItem>>/>\n</$reveal>\n</$list>\n</$set>\n</$set>\n</div>\n</$reveal>"
},
"$:/core/ui/Buttons/new-here": {
"title": "$:/core/ui/Buttons/new-here",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/new-here-button}} {{$:/language/Buttons/NewHere/Caption}}",
"description": "{{$:/language/Buttons/NewHere/Hint}}",
"text": "\\define newHereButtonTags()\n[[$(currentTiddler)$]]\n\\end\n\\define newHereButton()\n<$button tooltip={{$:/language/Buttons/NewHere/Hint}} aria-label={{$:/language/Buttons/NewHere/Caption}} class=<<tv-config-toolbar-class>>>\n<$action-sendmessage $message=\"tm-new-tiddler\" tags=<<newHereButtonTags>>/>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/new-here-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/NewHere/Caption}}/></span>\n</$list>\n</$button>\n\\end\n<<newHereButton>>"
},
"$:/core/ui/Buttons/new-journal-here": {
"title": "$:/core/ui/Buttons/new-journal-here",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/new-journal-button}} {{$:/language/Buttons/NewJournalHere/Caption}}",
"description": "{{$:/language/Buttons/NewJournalHere/Hint}}",
"text": "\\define journalButtonTags()\n[[$(currentTiddlerTag)$]] $(journalTags)$\n\\end\n\\define journalButton()\n<$button tooltip={{$:/language/Buttons/NewJournalHere/Hint}} aria-label={{$:/language/Buttons/NewJournalHere/Caption}} class=<<tv-config-toolbar-class>>>\n<$action-sendmessage $message=\"tm-new-tiddler\" title=<<now \"$(journalTitleTemplate)$\">> tags=<<journalButtonTags>>/>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/new-journal-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/NewJournalHere/Caption}}/></span>\n</$list>\n</$button>\n\\end\n<$set name=\"journalTitleTemplate\" value={{$:/config/NewJournal/Title}}>\n<$set name=\"journalTags\" value={{$:/config/NewJournal/Tags}}>\n<$set name=\"currentTiddlerTag\" value=<<currentTiddler>>>\n<<journalButton>>\n</$set></$set></$set>"
},
"$:/core/ui/Buttons/permalink": {
"title": "$:/core/ui/Buttons/permalink",
"tags": "$:/tags/ViewToolbar",
"caption": "{{$:/core/images/permalink-button}} {{$:/language/Buttons/Permalink/Caption}}",
"description": "{{$:/language/Buttons/Permalink/Hint}}",
"text": "<$button message=\"tm-permalink\" tooltip={{$:/language/Buttons/Permalink/Hint}} aria-label={{$:/language/Buttons/Permalink/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/permalink-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Permalink/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/core/ui/Buttons/permaview": {
"title": "$:/core/ui/Buttons/permaview",
"tags": "$:/tags/ViewToolbar $:/tags/PageControls",
"caption": "{{$:/core/images/permaview-button}} {{$:/language/Buttons/Permaview/Caption}}",
"description": "{{$:/language/Buttons/Permaview/Hint}}",
"text": "<$button message=\"tm-permaview\" tooltip={{$:/language/Buttons/Permaview/Hint}} aria-label={{$:/language/Buttons/Permaview/Caption}} class=<<tv-config-toolbar-class>>>\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/permaview-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$:/language/Buttons/Permaview/Caption}}/></span>\n</$list>\n</$button>"
},
"$:/DefaultTiddlers": {
"title": "$:/DefaultTiddlers",
"text": "GettingStarted\n"
},
"$:/temp/advancedsearch": {
"title": "$:/temp/advancedsearch",
"text": ""
},
"$:/snippets/allfields": {
"title": "$:/snippets/allfields",
"text": "\\define renderfield(title)\n<tr class=\"tc-view-field\"><td class=\"tc-view-field-name\">''$title$'':</td><td class=\"tc-view-field-value\">//{{$:/language/Docs/Fields/$title$}}//</td></tr>\n\\end\n<table class=\"tc-view-field-table\"><tbody><$list filter=\"[fields[]sort[title]]\" variable=\"listItem\"><$macrocall $name=\"renderfield\" title=<<listItem>>/></$list>\n</tbody></table>\n"
},
"$:/config/AnimationDuration": {
"title": "$:/config/AnimationDuration",
"text": "400"
},
"$:/config/AutoSave": {
"title": "$:/config/AutoSave",
"text": "yes"
},
"$:/config/BitmapEditor/Colour": {
"title": "$:/config/BitmapEditor/Colour",
"text": "#ff0"
},
"$:/config/BitmapEditor/LineWidth": {
"title": "$:/config/BitmapEditor/LineWidth",
"text": "3"
},
"$:/config/EditTemplateFields/Visibility/title": {
"title": "$:/config/EditTemplateFields/Visibility/title",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/tags": {
"title": "$:/config/EditTemplateFields/Visibility/tags",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/text": {
"title": "$:/config/EditTemplateFields/Visibility/text",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/creator": {
"title": "$:/config/EditTemplateFields/Visibility/creator",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/created": {
"title": "$:/config/EditTemplateFields/Visibility/created",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/modified": {
"title": "$:/config/EditTemplateFields/Visibility/modified",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/modifier": {
"title": "$:/config/EditTemplateFields/Visibility/modifier",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/type": {
"title": "$:/config/EditTemplateFields/Visibility/type",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/draft.title": {
"title": "$:/config/EditTemplateFields/Visibility/draft.title",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/draft.of": {
"title": "$:/config/EditTemplateFields/Visibility/draft.of",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/revision": {
"title": "$:/config/EditTemplateFields/Visibility/revision",
"text": "hide"
},
"$:/config/EditTemplateFields/Visibility/bag": {
"title": "$:/config/EditTemplateFields/Visibility/bag",
"text": "hide"
},
"$:/config/EditorTypeMappings/image/gif": {
"title": "$:/config/EditorTypeMappings/image/gif",
"text": "bitmap"
},
"$:/config/EditorTypeMappings/image/jpeg": {
"title": "$:/config/EditorTypeMappings/image/jpeg",
"text": "bitmap"
},
"$:/config/EditorTypeMappings/image/jpg": {
"title": "$:/config/EditorTypeMappings/image/jpg",
"text": "bitmap"
},
"$:/config/EditorTypeMappings/image/png": {
"title": "$:/config/EditorTypeMappings/image/png",
"text": "bitmap"
},
"$:/config/EditorTypeMappings/image/x-icon": {
"title": "$:/config/EditorTypeMappings/image/x-icon",
"text": "bitmap"
},
"$:/config/EditorTypeMappings/text/vnd.tiddlywiki": {
"title": "$:/config/EditorTypeMappings/text/vnd.tiddlywiki",
"text": "text"
},
"$:/config/Navigation/UpdateAddressBar": {
"title": "$:/config/Navigation/UpdateAddressBar",
"text": "no"
},
"$:/config/Navigation/UpdateHistory": {
"title": "$:/config/Navigation/UpdateHistory",
"text": "no"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/advanced-search": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/advanced-search",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/close-all": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/close-all",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/encryption": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/encryption",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/export-page": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/export-page",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/full-screen": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/full-screen",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/home": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/home",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/refresh": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/refresh",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/import": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/import",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/language": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/language",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/tag-manager": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/tag-manager",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/more-page-actions": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/more-page-actions",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/new-journal": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/new-journal",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/permaview": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/permaview",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/storyview": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/storyview",
"text": "hide"
},
"$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/theme": {
"title": "$:/config/PageControlButtons/Visibility/$:/core/ui/Buttons/theme",
"text": "hide"
},
"$:/config/SaveWikiButton/Template": {
"title": "$:/config/SaveWikiButton/Template",
"text": "$:/core/save/all"
},
"$:/config/SaverFilter": {
"title": "$:/config/SaverFilter",
"text": "[all[]] -[[$:/HistoryList]] -[[$:/StoryList]] -[[$:/Import]] -[[$:/isEncrypted]] -[[$:/UploadName]] -[prefix[$:/state]] -[prefix[$:/temp]]"
},
"$:/config/SearchResults/Default": {
"title": "$:/config/SearchResults/Default",
"text": "$:/core/ui/DefaultSearchResultList"
},
"$:/config/SyncFilter": {
"title": "$:/config/SyncFilter",
"text": "[is[tiddler]] -[[$:/HistoryList]] -[[$:/StoryList]] -[[$:/Import]] -[[$:/isEncrypted]] -[prefix[$:/status]] -[prefix[$:/state]] -[prefix[$:/temp]]"
},
"$:/config/TiddlerInfo/Default": {
"title": "$:/config/TiddlerInfo/Default",
"text": "$:/core/ui/TiddlerInfo/Fields"
},
"$:/config/Toolbar/Icons": {
"title": "$:/config/Toolbar/Icons",
"text": "yes"
},
"$:/config/Toolbar/Text": {
"title": "$:/config/Toolbar/Text",
"text": "no"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/clone": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/clone",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/close-others": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/close-others",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/export-tiddler": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/export-tiddler",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/info": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/info",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/more-tiddler-actions": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/more-tiddler-actions",
"text": "show"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/new-here": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/new-here",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/new-journal-here": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/new-journal-here",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/permalink": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/permalink",
"text": "hide"
},
"$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/permaview": {
"title": "$:/config/ViewToolbarButtons/Visibility/$:/core/ui/Buttons/permaview",
"text": "hide"
},
"$:/snippets/currpalettepreview": {
"title": "$:/snippets/currpalettepreview",
"text": "\\define swatchStyle()\nbackground-color: $(swatchColour)$;\n\\end\n\\define swatch(colour)\n<$set name=\"swatchColour\" value={{##$colour$}}>\n<div class=\"tc-swatch\" style=<<swatchStyle>>/>\n</$set>\n\\end\n<div class=\"tc-swatches-horiz\">\n<<swatch foreground>>\n<<swatch background>>\n<<swatch muted-foreground>>\n<<swatch primary>>\n<<swatch page-background>>\n<<swatch tab-background>>\n<<swatch tiddler-info-background>>\n</div>\n"
},
"$:/snippets/download-wiki-button": {
"title": "$:/snippets/download-wiki-button",
"text": "\\define lingo-base() $:/language/ControlPanel/Tools/Download/\n<$button class=\"tc-btn-big-green\">\n<$action-sendmessage $message=\"tm-download-file\" $param=\"$:/core/save/all\" filename=\"index.html\"/>\n<<lingo Full/Caption>> {{$:/core/images/save-button}}\n</$button>"
},
"$:/language": {
"title": "$:/language",
"text": "$:/languages/en-GB"
},
"$:/snippets/languageswitcher": {
"title": "$:/snippets/languageswitcher",
"text": "{{$:/language/ControlPanel/Basics/Language/Prompt}} <$select tiddler=\"$:/language\">\n<$list filter=\"[[$:/languages/en-GB]] [plugin-type[language]sort[description]]\">\n<option value=<<currentTiddler>>><$view field=\"description\"><$view field=\"name\"><$view field=\"title\"/></$view></$view></option>\n</$list>\n</$select>"
},
"$:/core/macros/CSS": {
"title": "$:/core/macros/CSS",
"tags": "$:/tags/Macro",
"text": "\\define colour(name)\n<$transclude tiddler={{$:/palette}} index=\"$name$\"><$transclude tiddler=\"$:/palettes/Vanilla\" index=\"$name$\"/></$transclude>\n\\end\n\n\\define color(name)\n<<colour $name$>>\n\\end\n\n\\define box-shadow(shadow)\n``\n -webkit-box-shadow: $shadow$;\n -moz-box-shadow: $shadow$;\n box-shadow: $shadow$;\n``\n\\end\n\n\\define filter(filter)\n``\n -webkit-filter: $filter$;\n -moz-filter: $filter$;\n filter: $filter$;\n``\n\\end\n\n\\define transition(transition)\n``\n -webkit-transition: $transition$;\n -moz-transition: $transition$;\n transition: $transition$;\n``\n\\end\n\n\\define transform-origin(origin)\n``\n -webkit-transform-origin: $origin$;\n -moz-transform-origin: $origin$;\n transform-origin: $origin$;\n``\n\\end\n\n\\define background-linear-gradient(gradient)\n``\nbackground-image: linear-gradient($gradient$);\nbackground-image: -o-linear-gradient($gradient$);\nbackground-image: -moz-linear-gradient($gradient$);\nbackground-image: -webkit-linear-gradient($gradient$);\nbackground-image: -ms-linear-gradient($gradient$);\n``\n\\end\n\n\\define datauri(title)\n<$macrocall $name=\"makedatauri\" type={{$title$!!type}} text={{$title$}}/>\n\\end\n\n\\define if-sidebar(text)\n<$reveal state=\"$:/state/sidebar\" type=\"match\" text=\"yes\" default=\"yes\">$text$</$reveal>\n\\end\n\n\\define if-no-sidebar(text)\n<$reveal state=\"$:/state/sidebar\" type=\"nomatch\" text=\"yes\" default=\"yes\">$text$</$reveal>\n\\end\n"
},
"$:/core/macros/export": {
"title": "$:/core/macros/export",
"tags": "$:/tags/Macro",
"text": "\\define exportButtonFilename(baseFilename)\n$baseFilename$$(extension)$\n\\end\n\n\\define exportButton(exportFilter:\"[!is[system]sort[title]]\",lingoBase,baseFilename:\"tiddlers\")\n<span class=\"tc-popup-keep\">\n<$button popup=<<qualify \"$:/state/popup/export\">> tooltip={{$lingoBase$Hint}} aria-label={{$lingoBase$Caption}} class=<<tv-config-toolbar-class>> selectedClass=\"tc-selected\">\n<$list filter=\"[<tv-config-toolbar-icons>prefix[yes]]\">\n{{$:/core/images/export-button}}\n</$list>\n<$list filter=\"[<tv-config-toolbar-text>prefix[yes]]\">\n<span class=\"tc-btn-text\"><$text text={{$lingoBase$Caption}}/></span>\n</$list>\n</$button>\n</span>\n<$reveal state=<<qualify \"$:/state/popup/export\">> type=\"popup\" position=\"below\" animate=\"yes\">\n<div class=\"tc-drop-down\">\n<$list filter=\"[all[shadows+tiddlers]tag[$:/tags/Exporter]]\">\n<$set name=\"extension\" value={{!!extension}}>\n<$button class=\"tc-btn-invisible\">\n<$action-sendmessage $message=\"tm-download-file\" $param=<<currentTiddler>> exportFilter=\"\"\"$exportFilter$\"\"\" filename=<<exportButtonFilename \"\"\"$baseFilename$\"\"\">>/>\n<$action-deletetiddler $tiddler=<<qualify \"$:/state/popup/export\">>/>\n<$transclude field=\"description\"/>\n</$button>\n</$set>\n</$list>\n</div>\n</$reveal>\n\\end\n"
},
"$:/core/macros/lingo": {
"title": "$:/core/macros/lingo",
"tags": "$:/tags/Macro",
"text": "\\define lingo-base()\n$:/language/\n\\end\n\n\\define lingo(title)\n{{$(lingo-base)$$title$}}\n\\end\n"
},
"$:/core/macros/list": {
"title": "$:/core/macros/list",
"tags": "$:/tags/Macro",
"text": "\\define list-links(filter,type:\"ul\",subtype:\"li\",class:\"\")\n<$type$ class=\"$class$\">\n<$list filter=\"$filter$\">\n<$subtype$>\n<$link to={{!!title}}>\n<$transclude field=\"caption\">\n<$view field=\"title\"/>\n</$transclude>\n</$link>\n</$subtype$>\n</$list>\n</$type$>\n\\end\n"
},
"$:/core/macros/tabs": {
"title": "$:/core/macros/tabs",
"tags": "$:/tags/Macro",
"text": "\\define tabs(tabsList,default,state:\"$:/state/tab\",class,template)\n<div class=\"tc-tab-set $class$\">\n<div class=\"tc-tab-buttons $class$\">\n<$list filter=\"$tabsList$\" variable=\"currentTab\">\n<$button set=<<qualify \"$state$\">> setTo=<<currentTab>> default=\"$default$\" selectedClass=\"tc-tab-selected\">\n<$transclude tiddler=<<currentTab>> field=\"caption\">\n<$macrocall $name=\"currentTab\" $type=\"text/plain\" $output=\"text/plain\"/>\n</$transclude>\n</$button>\n</$list>\n</div><div class=\"tc-tab-divider $class$\"/><div class=\"tc-tab-content $class$\">\n<$list filter=\"$tabsList$\" variable=\"currentTab\">\n\n<$reveal type=\"match\" state=<<qualify \"$state$\">> text=<<currentTab>> default=\"$default$\">\n\n<$transclude tiddler=\"$template$\" mode=\"block\">\n\n<$transclude tiddler=<<currentTab>> mode=\"block\"/>\n\n</$transclude>\n\n</$reveal>\n\n</$list>\n</div>\n</div>\n\\end\n"
},
"$:/core/macros/tag": {
"title": "$:/core/macros/tag",
"tags": "$:/tags/Macro",
"text": "\\define tag(tag)\n{{$tag$||$:/core/ui/TagTemplate}}\n\\end\n"
},
"$:/core/macros/timeline": {
"created": "20141212105914482",
"modified": "20141212110330815",
"tags": "$:/tags/Macro",
"title": "$:/core/macros/timeline",
"type": "text/vnd.tiddlywiki",
"text": "\\define timeline-title()\n<!-- Override this macro with a global macro \n of the same name if you need to change \n how titles are displayed on the timeline \n -->\n<$view field=\"title\"/>\n\\end\n\\define timeline(limit:\"100\",format:\"DDth MMM YYYY\",subfilter:\"\",dateField:\"modified\")\n<div class=\"tc-timeline\">\n<$list filter=\"[!is[system]$subfilter$has[$dateField$]!sort[$dateField$]limit[$limit$]eachday[$dateField$]]\">\n<div class=\"tc-menu-list-item\">\n<$view field=\"$dateField$\" format=\"date\" template=\"$format$\"/>\n<$list filter=\"[sameday{!!$dateField$}!is[system]$subfilter$!sort[$dateField$]]\">\n<div class=\"tc-menu-list-subitem\">\n<$link to={{!!title}}>\n<<timeline-title>>\n</$link>\n</div>\n</$list>\n</div>\n</$list>\n</div>\n\\end\n"
},
"$:/core/macros/toc": {
"title": "$:/core/macros/toc",
"tags": "$:/tags/Macro",
"text": "\\define toc-caption()\n<$set name=\"tv-wikilinks\" value=\"no\">\n<$transclude field=\"caption\">\n<$view field=\"title\"/>\n</$transclude>\n</$set>\n\\end\n\n\\define toc-body(rootTag,tag,sort:\"\",itemClassFilter)\n<ol class=\"tc-toc\">\n<$list filter=\"\"\"[all[shadows+tiddlers]tag[$tag$]!has[draft.of]$sort$]\"\"\">\n<$set name=\"toc-item-class\" filter=\"\"\"$itemClassFilter$\"\"\" value=\"toc-item-selected\" emptyValue=\"toc-item\">\n<li class=<<toc-item-class>>>\n<$list filter=\"[all[current]toc-link[no]]\" emptyMessage=\"<$link><$view field='caption'><$view field='title'/></$view></$link>\">\n<<toc-caption>>\n</$list>\n<$list filter=\"\"\"[all[current]] -[[$rootTag$]]\"\"\">\n<$macrocall $name=\"toc-body\" rootTag=\"\"\"$rootTag$\"\"\" tag=<<currentTiddler>> sort=\"\"\"$sort$\"\"\" itemClassFilter=\"\"\"$itemClassFilter$\"\"\"/>\n</$list>\n</li>\n</$set>\n</$list>\n</ol>\n\\end\n\n\\define toc(tag,sort:\"\",itemClassFilter)\n<<toc-body rootTag:\"\"\"$tag$\"\"\" tag:\"\"\"$tag$\"\"\" sort:\"\"\"$sort$\"\"\" itemClassFilter:\"\"\"itemClassFilter\"\"\">>\n\\end\n\n\\define toc-linked-expandable-body(tag,sort:\"\",itemClassFilter)\n<$set name=\"toc-state\" value=<<qualify \"$:/state/toc/$tag$-$(currentTiddler)$\">>>\n<$set name=\"toc-item-class\" filter=\"\"\"$itemClassFilter$\"\"\" value=\"toc-item-selected\" emptyValue=\"toc-item\">\n<li class=<<toc-item-class>>>\n<$link>\n<$reveal type=\"nomatch\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"open\" class=\"tc-btn-invisible\">\n{{$:/core/images/right-arrow}}\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"close\" class=\"tc-btn-invisible\">\n{{$:/core/images/down-arrow}}\n</$button>\n</$reveal>\n<<toc-caption>>\n</$link>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$macrocall $name=\"toc-expandable\" tag=<<currentTiddler>> sort=\"\"\"$sort$\"\"\" itemClassFilter=\"\"\"$itemClassFilter$\"\"\"/>\n</$reveal>\n</li>\n</$set>\n</$set>\n\\end\n\n\\define toc-unlinked-expandable-body(tag,sort:\"\",itemClassFilter)\n<$set name=\"toc-state\" value=<<qualify \"$:/state/toc/$tag$-$(currentTiddler)$\">>>\n<$set name=\"toc-item-class\" filter=\"\"\"$itemClassFilter$\"\"\" value=\"toc-item-selected\" emptyValue=\"toc-item\">\n<li class=<<toc-item-class>>>\n<$reveal type=\"nomatch\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"open\" class=\"tc-btn-invisible\">\n{{$:/core/images/right-arrow}}\n<<toc-caption>>\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"close\" class=\"tc-btn-invisible\">\n{{$:/core/images/down-arrow}}\n<<toc-caption>>\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$macrocall $name=\"toc-expandable\" tag=<<currentTiddler>> sort=\"\"\"$sort$\"\"\" itemClassFilter=\"\"\"$itemClassFilter$\"\"\"/>\n</$reveal>\n</li>\n</$set>\n</$set>\n\\end\n\n\\define toc-expandable(tag,sort:\"\",itemClassFilter)\n<ol class=\"tc-toc toc-expandable\">\n<$list filter=\"[all[shadows+tiddlers]tag[$tag$]!has[draft.of]$sort$]\">\n<$list filter=\"[all[current]toc-link[no]]\" emptyMessage=\"<<toc-linked-expandable-body tag:'$tag$' sort:'$sort$' itemClassFilter:'$itemClassFilter$'>>\">\n<<toc-unlinked-expandable-body tag:\"\"\"$tag$\"\"\" sort:\"\"\"$sort$\"\"\" itemClassFilter:\"\"\"itemClassFilter\"\"\">>\n</$list>\n</$list>\n</ol>\n\\end\n\n\\define toc-linked-selective-expandable-body(tag,sort:\"\",itemClassFilter)\n<$set name=\"toc-state\" value=<<qualify \"$:/state/toc/$tag$-$(currentTiddler)$\">>>\n<$set name=\"toc-item-class\" filter=\"\"\"$itemClassFilter$\"\"\" value=\"toc-item-selected\" emptyValue=\"toc-item\">\n<li class=<<toc-item-class>>>\n<$link>\n<$list filter=\"[all[current]tagging[]limit[1]]\" variable=\"ignore\" emptyMessage=\"<$button class='tc-btn-invisible'>{{$:/core/images/blank}}</$button>\">\n<$reveal type=\"nomatch\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"open\" class=\"tc-btn-invisible\">\n{{$:/core/images/right-arrow}}\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"close\" class=\"tc-btn-invisible\">\n{{$:/core/images/down-arrow}}\n</$button>\n</$reveal>\n</$list>\n<<toc-caption>>\n</$link>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$macrocall $name=\"toc-selective-expandable\" tag=<<currentTiddler>> sort=\"\"\"$sort$\"\"\" itemClassFilter=\"\"\"$itemClassFilter$\"\"\"/>\n</$reveal>\n</li>\n</$set>\n</$set>\n\\end\n\n\\define toc-unlinked-selective-expandable-body(tag,sort:\"\",itemClassFilter)\n<$set name=\"toc-state\" value=<<qualify \"$:/state/toc/$tag$-$(currentTiddler)$\">>>\n<$set name=\"toc-item-class\" filter=\"\"\"$itemClassFilter$\"\"\" value=\"toc-item-selected\" emptyValue=\"toc-item\">\n<li class=<<toc-item-class>>>\n<$list filter=\"[all[current]tagging[]limit[1]]\" variable=\"ignore\" emptyMessage=\"<$button class='tc-btn-invisible'>{{$:/core/images/blank}}</$button> <$view field='caption'><$view field='title'/></$view>\">\n<$reveal type=\"nomatch\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"open\" class=\"tc-btn-invisible\">\n{{$:/core/images/right-arrow}}\n<<toc-caption>>\n</$button>\n</$reveal>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$button set=<<toc-state>> setTo=\"close\" class=\"tc-btn-invisible\">\n{{$:/core/images/down-arrow}}\n<<toc-caption>>\n</$button>\n</$reveal>\n</$list>\n<$reveal type=\"match\" state=<<toc-state>> text=\"open\">\n<$macrocall $name=\"\"\"toc-selective-expandable\"\"\" tag=<<currentTiddler>> sort=\"\"\"$sort$\"\"\" itemClassFilter=\"\"\"$itemClassFilter$\"\"\"/>\n</$reveal>\n</li>\n</$set>\n</$set>\n\\end\n\n\\define toc-selective-expandable(tag,sort:\"\",itemClassFilter)\n<ol class=\"tc-toc toc-selective-expandable\">\n<$list filter=\"[all[shadows+tiddlers]tag[$tag$]!has[draft.of]$sort$]\">\n<$list filter=\"[all[current]toc-link[no]]\" variable=\"ignore\" emptyMessage=\"<<toc-linked-selective-expandable-body tag:'$tag$' sort:'$sort$' itemClassFilter:'$itemClassFilter$'>>\">\n<<toc-unlinked-selective-expandable-body tag:\"\"\"$tag$\"\"\" sort:\"\"\"$sort$\"\"\" itemClassFilter:\"\"\"$itemClassFilter$\"\"\">>\n</$list>\n</$list>\n</ol>\n\\end\n\n\\define toc-tabbed-selected-item-filter(selectedTiddler)\n[all[current]field:title{$selectedTiddler$}]\n\\end\n\n\\define toc-tabbed-external-nav(tag,sort:\"\",selectedTiddler:\"$:/temp/toc/selectedTiddler\",unselectedText,missingText,template:\"\")\n<$tiddler tiddler={{$selectedTiddler$}}>\n<div class=\"tc-tabbed-table-of-contents\">\n<$linkcatcher to=\"$selectedTiddler$\">\n<div class=\"tc-table-of-contents\">\n<$macrocall $name=\"toc-selective-expandable\" tag=\"\"\"$tag$\"\"\" sort=\"\"\"$sort$\"\"\" itemClassFilter=<<toc-tabbed-selected-item-filter selectedTiddler:\"\"\"$selectedTiddler$\"\"\">>/>\n</div>\n</$linkcatcher>\n<div class=\"tc-tabbed-table-of-contents-content\">\n<$reveal state=\"\"\"$selectedTiddler$\"\"\" type=\"nomatch\" text=\"\">\n<$transclude mode=\"block\" tiddler=\"$template$\">\n<h1><$transclude field=\"caption\"><$view field=\"title\"/></$transclude></h1>\n<$transclude mode=\"block\">$missingText$</$transclude>\n</$transclude>\n</$reveal>\n<$reveal state=\"\"\"$selectedTiddler$\"\"\" type=\"match\" text=\"\">\n$unselectedText$\n</$reveal>\n</div>\n</div>\n</$tiddler>\n\\end\n\n\\define toc-tabbed-internal-nav(tag,sort:\"\",selectedTiddler:\"$:/temp/toc/selectedTiddler\",unselectedText,missingText,template:\"\")\n<$linkcatcher to=\"\"\"$selectedTiddler$\"\"\">\n<$macrocall $name=\"toc-tabbed-external-nav\" tag=\"\"\"$tag$\"\"\" sort=\"\"\"$sort$\"\"\" selectedTiddler=\"\"\"$selectedTiddler$\"\"\" unselectedText=\"\"\"$unselectedText$\"\"\" missingText=\"\"\"$missingText$\"\"\" template=\"\"\"$template$\"\"\"/>\n</$linkcatcher>\n\\end\n\n"
},
"$:/snippets/minilanguageswitcher": {
"title": "$:/snippets/minilanguageswitcher",
"text": "<$select tiddler=\"$:/language\">\n<$list filter=\"[[$:/languages/en-GB]] [plugin-type[language]sort[title]]\">\n<option value=<<currentTiddler>>><$view field=\"description\"><$view field=\"name\"><$view field=\"title\"/></$view></$view></option>\n</$list>\n</$select>"
},
"$:/snippets/minithemeswitcher": {
"title": "$:/snippets/minithemeswitcher",
"text": "\\define lingo-base() $:/language/ControlPanel/Theme/\n<<lingo Prompt>> <$select tiddler=\"$:/theme\">\n<$list filter=\"[plugin-type[theme]sort[title]]\">\n<option value=<<currentTiddler>>><$view field=\"name\"><$view field=\"title\"/></$view></option>\n</$list>\n</$select>"
},
"$:/snippets/modules": {
"title": "$:/snippets/modules",
"text": "\\define describeModuleType(type)\n{{$:/language/Docs/ModuleTypes/$type$}}\n\\end\n<$list filter=\"[moduletypes[]]\">\n\n!! <$macrocall $name=\"currentTiddler\" $type=\"text/plain\" $output=\"text/plain\"/>\n\n<$macrocall $name=\"describeModuleType\" type=<<currentTiddler>>/>\n\n<ul><$list filter=\"[all[current]modules[]]\"><li><$link><<currentTiddler>></$link>\n</li>\n</$list>\n</ul>\n</$list>\n"
},
"$:/palette": {
"title": "$:/palette",
"text": "$:/palettes/Vanilla"
},
"$:/snippets/paletteeditor": {
"title": "$:/snippets/paletteeditor",
"text": "\\define lingo-base() $:/language/ControlPanel/Palette/Editor/\n\\define describePaletteColour(colour)\n{{$:/language/Docs/PaletteColours/$colour$}}\n\\end\n<$set name=\"currentTiddler\" value={{$:/palette}}>\n\n<<lingo Prompt>> <$link to={{$:/palette}}><$macrocall $name=\"currentTiddler\" $output=\"text/plain\"/></$link>\n\n<$list filter=\"[all[current]is[shadow]is[tiddler]]\" variable=\"listItem\">\n<<lingo Prompt/Modified>>\n<$button message=\"tm-delete-tiddler\" param={{$:/palette}}><<lingo Reset/Caption>></$button>\n</$list>\n\n<$list filter=\"[all[current]is[shadow]!is[tiddler]]\" variable=\"listItem\">\n<<lingo Clone/Prompt>>\n</$list>\n\n<$button message=\"tm-new-tiddler\" param={{$:/palette}}><<lingo Clone/Caption>></$button>\n\n<table>\n<tbody>\n<$list filter=\"[all[current]indexes[]]\" variable=\"colourName\">\n<tr>\n<td>\n''<$macrocall $name=\"describePaletteColour\" colour=<<colourName>>/>''<br/>\n<$macrocall $name=\"colourName\" $output=\"text/plain\"/>\n</td>\n<td>\n<$edit-text index=<<colourName>> tag=\"input\"/>\n<br>\n<$edit-text index=<<colourName>> type=\"color\" tag=\"input\"/>\n</td>\n</tr>\n</$list>\n</tbody>\n</table>\n</$set>\n"
},
"$:/snippets/palettepreview": {
"title": "$:/snippets/palettepreview",
"text": "<$set name=\"currentTiddler\" value={{$:/palette}}>\n<$transclude tiddler=\"$:/snippets/currpalettepreview\"/>\n</$set>\n"
},
"$:/snippets/paletteswitcher": {
"title": "$:/snippets/paletteswitcher",
"text": "\\define lingo-base() $:/language/ControlPanel/Palette/\n<<lingo Prompt>> <$view tiddler={{$:/palette}} field=\"name\"/>\n\n<$linkcatcher to=\"$:/palette\">\n<div class=\"tc-chooser\"><$list filter=\"[all[shadows+tiddlers]tag[$:/tags/Palette]sort[description]]\"><div class=\"tc-chooser-item\"><$link to={{!!title}}><div><$reveal state=\"$:/palette\" type=\"match\" text={{!!title}}>•</$reveal><$reveal state=\"$:/palette\" type=\"nomatch\" text={{!!title}}> </$reveal> ''<$view field=\"name\" format=\"text\"/>'' - <$view field=\"description\" format=\"text\"/></div><$transclude tiddler=\"$:/snippets/currpalettepreview\"/></$link></div>\n</$list>\n</div>\n</$linkcatcher>"
},
"$:/temp/search": {
"title": "$:/temp/search",
"text": ""
},
"$:/tags/AdvancedSearch": {
"title": "$:/tags/AdvancedSearch",
"list": "[[$:/core/ui/AdvancedSearch/Standard]] [[$:/core/ui/AdvancedSearch/System]] [[$:/core/ui/AdvancedSearch/Shadows]] [[$:/core/ui/AdvancedSearch/Filter]]"
},
"$:/tags/ControlPanel": {
"title": "$:/tags/ControlPanel",
"list": "$:/core/ui/ControlPanel/Info $:/core/ui/ControlPanel/Appearance $:/core/ui/ControlPanel/Settings $:/core/ui/ControlPanel/Saving $:/core/ui/ControlPanel/Plugins $:/core/ui/ControlPanel/Tools $:/core/ui/ControlPanel/Internals"
},
"$:/tags/ControlPanel/Info": {
"title": "$:/tags/ControlPanel/Info",
"list": "$:/core/ui/ControlPanel/Basics $:/core/ui/ControlPanel/Advanced"
},
"$:/tags/EditTemplate": {
"title": "$:/tags/EditTemplate",
"list": "[[$:/core/ui/EditTemplate/controls]] [[$:/core/ui/EditTemplate/title]] [[$:/core/ui/EditTemplate/tags]] [[$:/core/ui/EditTemplate/shadow]] [[$:/core/ui/ViewTemplate/classic]] [[$:/core/ui/EditTemplate/body]] [[$:/core/ui/EditTemplate/type]] [[$:/core/ui/EditTemplate/fields]]"
},
"$:/tags/EditToolbar": {
"title": "$:/tags/EditToolbar",
"list": "[[$:/core/ui/Buttons/delete]] [[$:/core/ui/Buttons/cancel]] [[$:/core/ui/Buttons/save]]"
},
"$:/tags/MoreSideBar": {
"title": "$:/tags/MoreSideBar",
"list": "[[$:/core/ui/MoreSideBar/All]] [[$:/core/ui/MoreSideBar/Recent]] [[$:/core/ui/MoreSideBar/Tags]] [[$:/core/ui/MoreSideBar/Missing]] [[$:/core/ui/MoreSideBar/Drafts]] [[$:/core/ui/MoreSideBar/Orphans]] [[$:/core/ui/MoreSideBar/Types]] [[$:/core/ui/MoreSideBar/System]] [[$:/core/ui/MoreSideBar/Shadows]]",
"text": ""
},
"$:/tags/PageControls": {
"title": "$:/tags/PageControls",
"list": "[[$:/core/ui/Buttons/home]] [[$:/core/ui/Buttons/close-all]] [[$:/core/ui/Buttons/permaview]] [[$:/core/ui/Buttons/new-tiddler]] [[$:/core/ui/Buttons/new-journal]] [[$:/core/ui/Buttons/import]] [[$:/core/ui/Buttons/export-page]] [[$:/core/ui/Buttons/control-panel]] [[$:/core/ui/Buttons/advanced-search]] [[$:/core/ui/Buttons/tag-manager]] [[$:/core/ui/Buttons/language]] [[$:/core/ui/Buttons/theme]] [[$:/core/ui/Buttons/storyview]] [[$:/core/ui/Buttons/encryption]] [[$:/core/ui/Buttons/full-screen]] [[$:/core/ui/Buttons/save-wiki]] [[$:/core/ui/Buttons/refresh]] [[$:/core/ui/Buttons/more-page-actions]]"
},
"$:/tags/PageTemplate": {
"title": "$:/tags/PageTemplate",
"list": "[[$:/core/ui/PageTemplate/sidebar]] [[$:/core/ui/PageTemplate/story]] [[$:/core/ui/PageTemplate/alerts]] [[$:/core/ui/PageTemplate/topleftbar]] [[$:/core/ui/PageTemplate/toprightbar]]",
"text": ""
},
"$:/tags/SideBar": {
"title": "$:/tags/SideBar",
"list": "[[$:/core/ui/SideBar/Open]] [[$:/core/ui/SideBar/Recent]] [[$:/core/ui/SideBar/Tools]] [[$:/core/ui/SideBar/More]]",
"text": ""
},
"$:/tags/TiddlerInfo": {
"title": "$:/tags/TiddlerInfo",
"list": "[[$:/core/ui/TiddlerInfo/Tools]] [[$:/core/ui/TiddlerInfo/References]] [[$:/core/ui/TiddlerInfo/Tagging]] [[$:/core/ui/TiddlerInfo/List]] [[$:/core/ui/TiddlerInfo/Listed]] [[$:/core/ui/TiddlerInfo/Fields]]",
"text": ""
},
"$:/tags/TiddlerInfo/Advanced": {
"title": "$:/tags/TiddlerInfo/Advanced",
"list": "[[$:/core/ui/TiddlerInfo/Advanced/ShadowInfo]] [[$:/core/ui/TiddlerInfo/Advanced/PluginInfo]]"
},
"$:/tags/ViewTemplate": {
"title": "$:/tags/ViewTemplate",
"list": "[[$:/core/ui/ViewTemplate/title]] [[$:/core/ui/ViewTemplate/subtitle]] [[$:/core/ui/ViewTemplate/tags]] [[$:/core/ui/ViewTemplate/classic]] [[$:/core/ui/ViewTemplate/body]]"
},
"$:/tags/ViewToolbar": {
"title": "$:/tags/ViewToolbar",
"list": "[[$:/core/ui/Buttons/more-tiddler-actions]] [[$:/core/ui/Buttons/info]] [[$:/core/ui/Buttons/new-here]] [[$:/core/ui/Buttons/new-journal-here]] [[$:/core/ui/Buttons/clone]] [[$:/core/ui/Buttons/export-tiddler]] [[$:/core/ui/Buttons/edit]] [[$:/core/ui/Buttons/permalink]] [[$:/core/ui/Buttons/permaview]] [[$:/core/ui/Buttons/close-others]] [[$:/core/ui/Buttons/close]]"
},
"$:/snippets/themeswitcher": {
"title": "$:/snippets/themeswitcher",
"text": "\\define lingo-base() $:/language/ControlPanel/Theme/\n<<lingo Prompt>> <$view tiddler={{$:/theme}} field=\"name\"/>\n\n<$linkcatcher to=\"$:/theme\">\n<$list filter=\"[plugin-type[theme]sort[title]]\"><div><$reveal state=\"$:/theme\" type=\"match\" text={{!!title}}>•</$reveal><$reveal state=\"$:/theme\" type=\"nomatch\" text={{!!title}}> </$reveal> <$link to={{!!title}}>''<$view field=\"name\" format=\"text\"/>'' <$view field=\"description\" format=\"text\"/></$link></div>\n</$list>\n</$linkcatcher>"
},
"$:/core/wiki/title": {
"title": "$:/core/wiki/title",
"type": "text/vnd.tiddlywiki",
"text": "{{$:/SiteTitle}} --- {{$:/SiteSubtitle}}"
},
"$:/view": {
"title": "$:/view",
"text": "classic"
},
"$:/snippets/viewswitcher": {
"title": "$:/snippets/viewswitcher",
"text": "\\define lingo-base() $:/language/ControlPanel/StoryView/\n<<lingo Prompt>> <$select tiddler=\"$:/view\">\n<$list filter=\"[storyviews[]]\">\n<option><$view field=\"title\"/></option>\n</$list>\n</$select>"
}
}
}
{
"tiddlers": {
"$:/config/EditorTypeMappings/application/javascript": {
"title": "$:/config/EditorTypeMappings/application/javascript",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/application/json": {
"title": "$:/config/EditorTypeMappings/application/json",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/application/x-tiddler-dictionary": {
"title": "$:/config/EditorTypeMappings/application/x-tiddler-dictionary",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/text/css": {
"title": "$:/config/EditorTypeMappings/text/css",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/text/html": {
"title": "$:/config/EditorTypeMappings/text/html",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/text/plain": {
"title": "$:/config/EditorTypeMappings/text/plain",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/text/vnd.tiddlywiki": {
"title": "$:/config/EditorTypeMappings/text/vnd.tiddlywiki",
"text": "codemirror"
},
"$:/config/EditorTypeMappings/text/x-tiddlywiki": {
"title": "$:/config/EditorTypeMappings/text/x-tiddlywiki",
"text": "codemirror"
},
"$:/core/modules/widgets/edit-codemirror.js": {
"text": "/*\\\ntitle: $:/core/modules/widgets/edit-codemirror.js\ntype: application/javascript\nmodule-type: widget\n\nCodemirror-based text editor widget\n\nConfig options \"$:/config/CodeMirror\" e.g. to allow vim key bindings\n {\n\t\"require\": [\n\t\t\"$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.js\",\n\t\t\"$:/plugins/tiddlywiki/codemirror/addon/search/searchcursor.js\",\n\t\t\"$:/plugins/tiddlywiki/codemirror/keymap/vim.js\"\n\t],\n\t\"configuration\": {\n\t\t\t\"keyMap\": \"vim\",\n\t\t\t\"showCursorWhenSelecting\": true\n\t}\n}\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar CODEMIRROR_OPTIONS = \"$:/config/CodeMirror\";\n\n// Install CodeMirror\nif($tw.browser && !window.CodeMirror) {\n\twindow.CodeMirror = require(\"$:/plugins/tiddlywiki/codemirror/lib/codemirror.js\");\n\t// Install required CodeMirror plugins\n\tvar configOptions = $tw.wiki.getTiddlerData(CODEMIRROR_OPTIONS,{}),\n\t\treq = configOptions.require;\n\tif(req) {\n\t\tif($tw.utils.isArray(req)) {\n\t\t\tfor(var index=0; index<req.length; index++) {\n\t\t\t\trequire(req[index]);\n\t\t\t}\n\t\t} else {\n\t\t\trequire(req);\n\t\t}\n\t}\n}\n\nvar MIN_TEXT_AREA_HEIGHT = 100; // Minimum height of textareas in pixels\n\nvar Widget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar EditCodeMirrorWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nEditCodeMirrorWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nEditCodeMirrorWidget.prototype.render = function(parent,nextSibling) {\n\tvar self = this;\n\t// Save the parent dom node\n\tthis.parentDomNode = parent;\n\t// Compute our attributes\n\tthis.computeAttributes();\n\t// Execute our logic\n\tthis.execute();\n\t// Get the configuration options for the CodeMirror object\n\tvar config = $tw.wiki.getTiddlerData(CODEMIRROR_OPTIONS,{}).configuration || {},\n\t\teditInfo = this.getEditInfo();\n\tif(!(\"lineWrapping\" in config)) {\n\t\tconfig.lineWrapping = true;\n\t}\n\tif(!(\"lineNumbers\" in config)) {\n\t\tconfig.lineNumbers = true;\n\t}\n\tconfig.mode = editInfo.type;\n\tconfig.value = editInfo.value;\n\t// Create the CodeMirror instance\n\tvar cm = window.CodeMirror(function(domNode) {\n\t\tparent.insertBefore(domNode,nextSibling);\n\t\tself.domNodes.push(domNode);\n\t},config);\n\t// Set up a change event handler\n\tcm.on(\"change\",function() {\n\t\tself.saveChanges(cm.getValue());\n\t});\n\tthis.codeMirrorInstance = cm;\n};\n\n/*\nGet the tiddler being edited and current value\n*/\nEditCodeMirrorWidget.prototype.getEditInfo = function() {\n\t// Get the edit value\n\tvar self = this,\n\t\tvalue,\n\t\ttype = \"text/plain\",\n\t\tupdate;\n\tif(this.editIndex) {\n\t\tvalue = this.wiki.extractTiddlerDataItem(this.editTitle,this.editIndex,this.editDefault);\n\t\tupdate = function(value) {\n\t\t\tvar data = self.wiki.getTiddlerData(self.editTitle,{});\n\t\t\tif(data[self.editIndex] !== value) {\n\t\t\t\tdata[self.editIndex] = value;\n\t\t\t\tself.wiki.setTiddlerData(self.editTitle,data);\n\t\t\t}\n\t\t};\n\t} else {\n\t\t// Get the current tiddler and the field name\n\t\tvar tiddler = this.wiki.getTiddler(this.editTitle);\n\t\tif(tiddler) {\n\t\t\t// If we've got a tiddler, the value to display is the field string value\n\t\t\tvalue = tiddler.getFieldString(this.editField);\n\t\t\tif(this.editField === \"text\") {\n\t\t\t\ttype = tiddler.fields.type || \"text/vnd.tiddlywiki\";\n\t\t\t}\n\t\t} else {\n\t\t\t// Otherwise, we need to construct a default value for the editor\n\t\t\tswitch(this.editField) {\n\t\t\t\tcase \"text\":\n\t\t\t\t\tvalue = \"Type the text for the tiddler '\" + this.editTitle + \"'\";\n\t\t\t\t\ttype = \"text/vnd.tiddlywiki\";\n\t\t\t\t\tbreak;\n\t\t\t\tcase \"title\":\n\t\t\t\t\tvalue = this.editTitle;\n\t\t\t\t\tbreak;\n\t\t\t\tdefault:\n\t\t\t\t\tvalue = \"\";\n\t\t\t\t\tbreak;\n\t\t\t}\n\t\t\tif(this.editDefault !== undefined) {\n\t\t\t\tvalue = this.editDefault;\n\t\t\t}\n\t\t}\n\t\tupdate = function(value) {\n\t\t\tvar tiddler = self.wiki.getTiddler(self.editTitle),\n\t\t\t\tupdateFields = {\n\t\t\t\t\ttitle: self.editTitle\n\t\t\t\t};\n\t\t\tupdateFields[self.editField] = value;\n\t\t\tself.wiki.addTiddler(new $tw.Tiddler(self.wiki.getCreationFields(),tiddler,updateFields,self.wiki.getModificationFields()));\n\t\t};\n\t}\n\tif(this.editType) {\n\t\ttype = this.editType;\n\t}\n\treturn {value: value || \"\", type: type, update: update};\n};\n\n/*\nCompute the internal state of the widget\n*/\nEditCodeMirrorWidget.prototype.execute = function() {\n\t// Get our parameters\n\tthis.editTitle = this.getAttribute(\"tiddler\",this.getVariable(\"currentTiddler\"));\n\tthis.editField = this.getAttribute(\"field\",\"text\");\n\tthis.editIndex = this.getAttribute(\"index\");\n\tthis.editDefault = this.getAttribute(\"default\");\n\tthis.editType = this.getAttribute(\"type\");\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nEditCodeMirrorWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\t// Completely rerender if any of our attributes have changed\n\tif(changedAttributes.tiddler || changedAttributes.field || changedAttributes.index) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else if(changedTiddlers[this.editTitle]) {\n\t\tthis.updateEditor(this.getEditInfo().value);\n\t\treturn true;\n\t}\n\treturn false;\n};\n\n/*\nUpdate the editor with new text. This method is separate from updateEditorDomNode()\nso that subclasses can override updateEditor() and still use updateEditorDomNode()\n*/\nEditCodeMirrorWidget.prototype.updateEditor = function(text) {\n\tthis.updateEditorDomNode(text);\n};\n\n/*\nUpdate the editor dom node with new text\n*/\nEditCodeMirrorWidget.prototype.updateEditorDomNode = function(text) {\n\tif(this.codeMirrorInstance) {\n\t\tif(!this.codeMirrorInstance.hasFocus()) {\n\t\t\tthis.codeMirrorInstance.setValue(text);\n\t\t}\n\t}\n};\n\nEditCodeMirrorWidget.prototype.saveChanges = function(text) {\n\tvar editInfo = this.getEditInfo();\n\tif(text !== editInfo.value) {\n\t\teditInfo.update(text);\n\t}\n};\n\nexports[\"edit-codemirror\"] = EditCodeMirrorWidget;\n\n})();\n",
"title": "$:/core/modules/widgets/edit-codemirror.js",
"type": "application/javascript",
"module-type": "widget"
},
"$:/plugins/tiddlywiki/codemirror/lib/codemirror.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/lib/codemirror.js",
"module-type": "library",
"text": "// This is CodeMirror (http://codemirror.net), a code editor\n// implemented in JavaScript on top of the browser's DOM.\n//\n// You can find some technical background for some of the code below\n// at http://marijnhaverbeke.nl/blog/#cm-internals .\n\n(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n module.exports = mod();\n else if (typeof define == \"function\" && define.amd) // AMD\n return define([], mod);\n else // Plain browser env\n this.CodeMirror = mod();\n})(function() {\n \"use strict\";\n\n // BROWSER SNIFFING\n\n // Kludges for bugs and behavior differences that can't be feature\n // detected are enabled based on userAgent etc sniffing.\n\n var gecko = /gecko\\/\\d/i.test(navigator.userAgent);\n // ie_uptoN means Internet Explorer version N or lower\n var ie_upto10 = /MSIE \\d/.test(navigator.userAgent);\n var ie_upto7 = ie_upto10 && (document.documentMode == null || document.documentMode < 8);\n var ie_upto8 = ie_upto10 && (document.documentMode == null || document.documentMode < 9);\n var ie_upto9 = ie_upto10 && (document.documentMode == null || document.documentMode < 10);\n var ie_11up = /Trident\\/([7-9]|\\d{2,})\\./.test(navigator.userAgent);\n var ie = ie_upto10 || ie_11up;\n var webkit = /WebKit\\//.test(navigator.userAgent);\n var qtwebkit = webkit && /Qt\\/\\d+\\.\\d+/.test(navigator.userAgent);\n var chrome = /Chrome\\//.test(navigator.userAgent);\n var presto = /Opera\\//.test(navigator.userAgent);\n var safari = /Apple Computer/.test(navigator.vendor);\n var khtml = /KHTML\\//.test(navigator.userAgent);\n var mac_geMountainLion = /Mac OS X 1\\d\\D([8-9]|\\d\\d)\\D/.test(navigator.userAgent);\n var phantom = /PhantomJS/.test(navigator.userAgent);\n\n var ios = /AppleWebKit/.test(navigator.userAgent) && /Mobile\\/\\w+/.test(navigator.userAgent);\n // This is woefully incomplete. Suggestions for alternative methods welcome.\n var mobile = ios || /Android|webOS|BlackBerry|Opera Mini|Opera Mobi|IEMobile/i.test(navigator.userAgent);\n var mac = ios || /Mac/.test(navigator.platform);\n var windows = /win/i.test(navigator.platform);\n\n var presto_version = presto && navigator.userAgent.match(/Version\\/(\\d*\\.\\d*)/);\n if (presto_version) presto_version = Number(presto_version[1]);\n if (presto_version && presto_version >= 15) { presto = false; webkit = true; }\n // Some browsers use the wrong event properties to signal cmd/ctrl on OS X\n var flipCtrlCmd = mac && (qtwebkit || presto && (presto_version == null || presto_version < 12.11));\n var captureRightClick = gecko || (ie && !ie_upto8);\n\n // Optimize some code when these features are not used.\n var sawReadOnlySpans = false, sawCollapsedSpans = false;\n\n // EDITOR CONSTRUCTOR\n\n // A CodeMirror instance represents an editor. This is the object\n // that user code is usually dealing with.\n\n function CodeMirror(place, options) {\n if (!(this instanceof CodeMirror)) return new CodeMirror(place, options);\n\n this.options = options = options || {};\n // Determine effective options based on given values and defaults.\n copyObj(defaults, options, false);\n setGuttersForLineNumbers(options);\n\n var doc = options.value;\n if (typeof doc == \"string\") doc = new Doc(doc, options.mode);\n this.doc = doc;\n\n var display = this.display = new Display(place, doc);\n display.wrapper.CodeMirror = this;\n updateGutters(this);\n themeChanged(this);\n if (options.lineWrapping)\n this.display.wrapper.className += \" CodeMirror-wrap\";\n if (options.autofocus && !mobile) focusInput(this);\n\n this.state = {\n keyMaps: [], // stores maps added by addKeyMap\n overlays: [], // highlighting overlays, as added by addOverlay\n modeGen: 0, // bumped when mode/overlay changes, used to invalidate highlighting info\n overwrite: false, focused: false,\n suppressEdits: false, // used to disable editing during key handlers when in readOnly mode\n pasteIncoming: false, cutIncoming: false, // help recognize paste/cut edits in readInput\n draggingText: false,\n highlight: new Delayed() // stores highlight worker timeout\n };\n\n // Override magic textarea content restore that IE sometimes does\n // on our hidden textarea on reload\n if (ie_upto10) setTimeout(bind(resetInput, this, true), 20);\n\n registerEventHandlers(this);\n ensureGlobalHandlers();\n\n var cm = this;\n runInOp(this, function() {\n cm.curOp.forceUpdate = true;\n attachDoc(cm, doc);\n\n if ((options.autofocus && !mobile) || activeElt() == display.input)\n setTimeout(bind(onFocus, cm), 20);\n else\n onBlur(cm);\n\n for (var opt in optionHandlers) if (optionHandlers.hasOwnProperty(opt))\n optionHandlers[opt](cm, options[opt], Init);\n for (var i = 0; i < initHooks.length; ++i) initHooks[i](cm);\n });\n }\n\n // DISPLAY CONSTRUCTOR\n\n // The display handles the DOM integration, both for input reading\n // and content drawing. It holds references to DOM nodes and\n // display-related state.\n\n function Display(place, doc) {\n var d = this;\n\n // The semihidden textarea that is focused when the editor is\n // focused, and receives input.\n var input = d.input = elt(\"textarea\", null, null, \"position: absolute; padding: 0; width: 1px; height: 1em; outline: none\");\n // The textarea is kept positioned near the cursor to prevent the\n // fact that it'll be scrolled into view on input from scrolling\n // our fake cursor out of view. On webkit, when wrap=off, paste is\n // very slow. So make the area wide instead.\n if (webkit) input.style.width = \"1000px\";\n else input.setAttribute(\"wrap\", \"off\");\n // If border: 0; -- iOS fails to open keyboard (issue #1287)\n if (ios) input.style.border = \"1px solid black\";\n input.setAttribute(\"autocorrect\", \"off\"); input.setAttribute(\"autocapitalize\", \"off\"); input.setAttribute(\"spellcheck\", \"false\");\n\n // Wraps and hides input textarea\n d.inputDiv = elt(\"div\", [input], null, \"overflow: hidden; position: relative; width: 3px; height: 0px;\");\n // The fake scrollbar elements.\n d.scrollbarH = elt(\"div\", [elt(\"div\", null, null, \"height: 100%; min-height: 1px\")], \"CodeMirror-hscrollbar\");\n d.scrollbarV = elt(\"div\", [elt(\"div\", null, null, \"min-width: 1px\")], \"CodeMirror-vscrollbar\");\n // Covers bottom-right square when both scrollbars are present.\n d.scrollbarFiller = elt(\"div\", null, \"CodeMirror-scrollbar-filler\");\n // Covers bottom of gutter when coverGutterNextToScrollbar is on\n // and h scrollbar is present.\n d.gutterFiller = elt(\"div\", null, \"CodeMirror-gutter-filler\");\n // Will contain the actual code, positioned to cover the viewport.\n d.lineDiv = elt(\"div\", null, \"CodeMirror-code\");\n // Elements are added to these to represent selection and cursors.\n d.selectionDiv = elt(\"div\", null, null, \"position: relative; z-index: 1\");\n d.cursorDiv = elt(\"div\", null, \"CodeMirror-cursors\");\n // A visibility: hidden element used to find the size of things.\n d.measure = elt(\"div\", null, \"CodeMirror-measure\");\n // When lines outside of the viewport are measured, they are drawn in this.\n d.lineMeasure = elt(\"div\", null, \"CodeMirror-measure\");\n // Wraps everything that needs to exist inside the vertically-padded coordinate system\n d.lineSpace = elt(\"div\", [d.measure, d.lineMeasure, d.selectionDiv, d.cursorDiv, d.lineDiv],\n null, \"position: relative; outline: none\");\n // Moved around its parent to cover visible view.\n d.mover = elt(\"div\", [elt(\"div\", [d.lineSpace], \"CodeMirror-lines\")], null, \"position: relative\");\n // Set to the height of the document, allowing scrolling.\n d.sizer = elt(\"div\", [d.mover], \"CodeMirror-sizer\");\n // Behavior of elts with overflow: auto and padding is\n // inconsistent across browsers. This is used to ensure the\n // scrollable area is big enough.\n d.heightForcer = elt(\"div\", null, null, \"position: absolute; height: \" + scrollerCutOff + \"px; width: 1px;\");\n // Will contain the gutters, if any.\n d.gutters = elt(\"div\", null, \"CodeMirror-gutters\");\n d.lineGutter = null;\n // Actual scrollable element.\n d.scroller = elt(\"div\", [d.sizer, d.heightForcer, d.gutters], \"CodeMirror-scroll\");\n d.scroller.setAttribute(\"tabIndex\", \"-1\");\n // The element in which the editor lives.\n d.wrapper = elt(\"div\", [d.inputDiv, d.scrollbarH, d.scrollbarV,\n d.scrollbarFiller, d.gutterFiller, d.scroller], \"CodeMirror\");\n\n // Work around IE7 z-index bug (not perfect, hence IE7 not really being supported)\n if (ie_upto7) { d.gutters.style.zIndex = -1; d.scroller.style.paddingRight = 0; }\n // Needed to hide big blue blinking cursor on Mobile Safari\n if (ios) input.style.width = \"0px\";\n if (!webkit) d.scroller.draggable = true;\n // Needed to handle Tab key in KHTML\n if (khtml) { d.inputDiv.style.height = \"1px\"; d.inputDiv.style.position = \"absolute\"; }\n // Need to set a minimum width to see the scrollbar on IE7 (but must not set it on IE8).\n if (ie_upto7) d.scrollbarH.style.minHeight = d.scrollbarV.style.minWidth = \"18px\";\n\n if (place.appendChild) place.appendChild(d.wrapper);\n else place(d.wrapper);\n\n // Current rendered range (may be bigger than the view window).\n d.viewFrom = d.viewTo = doc.first;\n // Information about the rendered lines.\n d.view = [];\n // Holds info about a single rendered line when it was rendered\n // for measurement, while not in view.\n d.externalMeasured = null;\n // Empty space (in pixels) above the view\n d.viewOffset = 0;\n d.lastSizeC = 0;\n d.updateLineNumbers = null;\n\n // Used to only resize the line number gutter when necessary (when\n // the amount of lines crosses a boundary that makes its width change)\n d.lineNumWidth = d.lineNumInnerWidth = d.lineNumChars = null;\n // See readInput and resetInput\n d.prevInput = \"\";\n // Set to true when a non-horizontal-scrolling line widget is\n // added. As an optimization, line widget aligning is skipped when\n // this is false.\n d.alignWidgets = false;\n // Flag that indicates whether we expect input to appear real soon\n // now (after some event like 'keypress' or 'input') and are\n // polling intensively.\n d.pollingFast = false;\n // Self-resetting timeout for the poller\n d.poll = new Delayed();\n\n d.cachedCharWidth = d.cachedTextHeight = d.cachedPaddingH = null;\n\n // Tracks when resetInput has punted to just putting a short\n // string into the textarea instead of the full selection.\n d.inaccurateSelection = false;\n\n // Tracks the maximum line length so that the horizontal scrollbar\n // can be kept static when scrolling.\n d.maxLine = null;\n d.maxLineLength = 0;\n d.maxLineChanged = false;\n\n // Used for measuring wheel scrolling granularity\n d.wheelDX = d.wheelDY = d.wheelStartX = d.wheelStartY = null;\n\n // True when shift is held down.\n d.shift = false;\n\n // Used to track whether anything happened since the context menu\n // was opened.\n d.selForContextMenu = null;\n }\n\n // STATE UPDATES\n\n // Used to get the editor into a consistent state again when options change.\n\n function loadMode(cm) {\n cm.doc.mode = CodeMirror.getMode(cm.options, cm.doc.modeOption);\n resetModeState(cm);\n }\n\n function resetModeState(cm) {\n cm.doc.iter(function(line) {\n if (line.stateAfter) line.stateAfter = null;\n if (line.styles) line.styles = null;\n });\n cm.doc.frontier = cm.doc.first;\n startWorker(cm, 100);\n cm.state.modeGen++;\n if (cm.curOp) regChange(cm);\n }\n\n function wrappingChanged(cm) {\n if (cm.options.lineWrapping) {\n addClass(cm.display.wrapper, \"CodeMirror-wrap\");\n cm.display.sizer.style.minWidth = \"\";\n } else {\n rmClass(cm.display.wrapper, \"CodeMirror-wrap\");\n findMaxLine(cm);\n }\n estimateLineHeights(cm);\n regChange(cm);\n clearCaches(cm);\n setTimeout(function(){updateScrollbars(cm);}, 100);\n }\n\n // Returns a function that estimates the height of a line, to use as\n // first approximation until the line becomes visible (and is thus\n // properly measurable).\n function estimateHeight(cm) {\n var th = textHeight(cm.display), wrapping = cm.options.lineWrapping;\n var perLine = wrapping && Math.max(5, cm.display.scroller.clientWidth / charWidth(cm.display) - 3);\n return function(line) {\n if (lineIsHidden(cm.doc, line)) return 0;\n\n var widgetsHeight = 0;\n if (line.widgets) for (var i = 0; i < line.widgets.length; i++) {\n if (line.widgets[i].height) widgetsHeight += line.widgets[i].height;\n }\n\n if (wrapping)\n return widgetsHeight + (Math.ceil(line.text.length / perLine) || 1) * th;\n else\n return widgetsHeight + th;\n };\n }\n\n function estimateLineHeights(cm) {\n var doc = cm.doc, est = estimateHeight(cm);\n doc.iter(function(line) {\n var estHeight = est(line);\n if (estHeight != line.height) updateLineHeight(line, estHeight);\n });\n }\n\n function keyMapChanged(cm) {\n var map = keyMap[cm.options.keyMap], style = map.style;\n cm.display.wrapper.className = cm.display.wrapper.className.replace(/\\s*cm-keymap-\\S+/g, \"\") +\n (style ? \" cm-keymap-\" + style : \"\");\n }\n\n function themeChanged(cm) {\n cm.display.wrapper.className = cm.display.wrapper.className.replace(/\\s*cm-s-\\S+/g, \"\") +\n cm.options.theme.replace(/(^|\\s)\\s*/g, \" cm-s-\");\n clearCaches(cm);\n }\n\n function guttersChanged(cm) {\n updateGutters(cm);\n regChange(cm);\n setTimeout(function(){alignHorizontally(cm);}, 20);\n }\n\n // Rebuild the gutter elements, ensure the margin to the left of the\n // code matches their width.\n function updateGutters(cm) {\n var gutters = cm.display.gutters, specs = cm.options.gutters;\n removeChildren(gutters);\n for (var i = 0; i < specs.length; ++i) {\n var gutterClass = specs[i];\n var gElt = gutters.appendChild(elt(\"div\", null, \"CodeMirror-gutter \" + gutterClass));\n if (gutterClass == \"CodeMirror-linenumbers\") {\n cm.display.lineGutter = gElt;\n gElt.style.width = (cm.display.lineNumWidth || 1) + \"px\";\n }\n }\n gutters.style.display = i ? \"\" : \"none\";\n updateGutterSpace(cm);\n }\n\n function updateGutterSpace(cm) {\n var width = cm.display.gutters.offsetWidth;\n cm.display.sizer.style.marginLeft = width + \"px\";\n cm.display.scrollbarH.style.left = cm.options.fixedGutter ? width + \"px\" : 0;\n }\n\n // Compute the character length of a line, taking into account\n // collapsed ranges (see markText) that might hide parts, and join\n // other lines onto it.\n function lineLength(line) {\n if (line.height == 0) return 0;\n var len = line.text.length, merged, cur = line;\n while (merged = collapsedSpanAtStart(cur)) {\n var found = merged.find(0, true);\n cur = found.from.line;\n len += found.from.ch - found.to.ch;\n }\n cur = line;\n while (merged = collapsedSpanAtEnd(cur)) {\n var found = merged.find(0, true);\n len -= cur.text.length - found.from.ch;\n cur = found.to.line;\n len += cur.text.length - found.to.ch;\n }\n return len;\n }\n\n // Find the longest line in the document.\n function findMaxLine(cm) {\n var d = cm.display, doc = cm.doc;\n d.maxLine = getLine(doc, doc.first);\n d.maxLineLength = lineLength(d.maxLine);\n d.maxLineChanged = true;\n doc.iter(function(line) {\n var len = lineLength(line);\n if (len > d.maxLineLength) {\n d.maxLineLength = len;\n d.maxLine = line;\n }\n });\n }\n\n // Make sure the gutters options contains the element\n // \"CodeMirror-linenumbers\" when the lineNumbers option is true.\n function setGuttersForLineNumbers(options) {\n var found = indexOf(options.gutters, \"CodeMirror-linenumbers\");\n if (found == -1 && options.lineNumbers) {\n options.gutters = options.gutters.concat([\"CodeMirror-linenumbers\"]);\n } else if (found > -1 && !options.lineNumbers) {\n options.gutters = options.gutters.slice(0);\n options.gutters.splice(found, 1);\n }\n }\n\n // SCROLLBARS\n\n // Prepare DOM reads needed to update the scrollbars. Done in one\n // shot to minimize update/measure roundtrips.\n function measureForScrollbars(cm) {\n var scroll = cm.display.scroller;\n return {\n clientHeight: scroll.clientHeight,\n barHeight: cm.display.scrollbarV.clientHeight,\n scrollWidth: scroll.scrollWidth, clientWidth: scroll.clientWidth,\n barWidth: cm.display.scrollbarH.clientWidth,\n docHeight: Math.round(cm.doc.height + paddingVert(cm.display))\n };\n }\n\n // Re-synchronize the fake scrollbars with the actual size of the\n // content.\n function updateScrollbars(cm, measure) {\n if (!measure) measure = measureForScrollbars(cm);\n var d = cm.display;\n var scrollHeight = measure.docHeight + scrollerCutOff;\n var needsH = measure.scrollWidth > measure.clientWidth;\n var needsV = scrollHeight > measure.clientHeight;\n if (needsV) {\n d.scrollbarV.style.display = \"block\";\n d.scrollbarV.style.bottom = needsH ? scrollbarWidth(d.measure) + \"px\" : \"0\";\n // A bug in IE8 can cause this value to be negative, so guard it.\n d.scrollbarV.firstChild.style.height =\n Math.max(0, scrollHeight - measure.clientHeight + (measure.barHeight || d.scrollbarV.clientHeight)) + \"px\";\n } else {\n d.scrollbarV.style.display = \"\";\n d.scrollbarV.firstChild.style.height = \"0\";\n }\n if (needsH) {\n d.scrollbarH.style.display = \"block\";\n d.scrollbarH.style.right = needsV ? scrollbarWidth(d.measure) + \"px\" : \"0\";\n d.scrollbarH.firstChild.style.width =\n (measure.scrollWidth - measure.clientWidth + (measure.barWidth || d.scrollbarH.clientWidth)) + \"px\";\n } else {\n d.scrollbarH.style.display = \"\";\n d.scrollbarH.firstChild.style.width = \"0\";\n }\n if (needsH && needsV) {\n d.scrollbarFiller.style.display = \"block\";\n d.scrollbarFiller.style.height = d.scrollbarFiller.style.width = scrollbarWidth(d.measure) + \"px\";\n } else d.scrollbarFiller.style.display = \"\";\n if (needsH && cm.options.coverGutterNextToScrollbar && cm.options.fixedGutter) {\n d.gutterFiller.style.display = \"block\";\n d.gutterFiller.style.height = scrollbarWidth(d.measure) + \"px\";\n d.gutterFiller.style.width = d.gutters.offsetWidth + \"px\";\n } else d.gutterFiller.style.display = \"\";\n\n if (!cm.state.checkedOverlayScrollbar && measure.clientHeight > 0) {\n if (scrollbarWidth(d.measure) === 0) {\n var w = mac && !mac_geMountainLion ? \"12px\" : \"18px\";\n d.scrollbarV.style.minWidth = d.scrollbarH.style.minHeight = w;\n var barMouseDown = function(e) {\n if (e_target(e) != d.scrollbarV && e_target(e) != d.scrollbarH)\n operation(cm, onMouseDown)(e);\n };\n on(d.scrollbarV, \"mousedown\", barMouseDown);\n on(d.scrollbarH, \"mousedown\", barMouseDown);\n }\n cm.state.checkedOverlayScrollbar = true;\n }\n }\n\n // Compute the lines that are visible in a given viewport (defaults\n // the the current scroll position). viewPort may contain top,\n // height, and ensure (see op.scrollToPos) properties.\n function visibleLines(display, doc, viewPort) {\n var top = viewPort && viewPort.top != null ? viewPort.top : display.scroller.scrollTop;\n top = Math.floor(top - paddingTop(display));\n var bottom = viewPort && viewPort.bottom != null ? viewPort.bottom : top + display.wrapper.clientHeight;\n\n var from = lineAtHeight(doc, top), to = lineAtHeight(doc, bottom);\n // Ensure is a {from: {line, ch}, to: {line, ch}} object, and\n // forces those lines into the viewport (if possible).\n if (viewPort && viewPort.ensure) {\n var ensureFrom = viewPort.ensure.from.line, ensureTo = viewPort.ensure.to.line;\n if (ensureFrom < from)\n return {from: ensureFrom,\n to: lineAtHeight(doc, heightAtLine(getLine(doc, ensureFrom)) + display.wrapper.clientHeight)};\n if (Math.min(ensureTo, doc.lastLine()) >= to)\n return {from: lineAtHeight(doc, heightAtLine(getLine(doc, ensureTo)) - display.wrapper.clientHeight),\n to: ensureTo};\n }\n return {from: from, to: to};\n }\n\n // LINE NUMBERS\n\n // Re-align line numbers and gutter marks to compensate for\n // horizontal scrolling.\n function alignHorizontally(cm) {\n var display = cm.display, view = display.view;\n if (!display.alignWidgets && (!display.gutters.firstChild || !cm.options.fixedGutter)) return;\n var comp = compensateForHScroll(display) - display.scroller.scrollLeft + cm.doc.scrollLeft;\n var gutterW = display.gutters.offsetWidth, left = comp + \"px\";\n for (var i = 0; i < view.length; i++) if (!view[i].hidden) {\n if (cm.options.fixedGutter && view[i].gutter)\n view[i].gutter.style.left = left;\n var align = view[i].alignable;\n if (align) for (var j = 0; j < align.length; j++)\n align[j].style.left = left;\n }\n if (cm.options.fixedGutter)\n display.gutters.style.left = (comp + gutterW) + \"px\";\n }\n\n // Used to ensure that the line number gutter is still the right\n // size for the current document size. Returns true when an update\n // is needed.\n function maybeUpdateLineNumberWidth(cm) {\n if (!cm.options.lineNumbers) return false;\n var doc = cm.doc, last = lineNumberFor(cm.options, doc.first + doc.size - 1), display = cm.display;\n if (last.length != display.lineNumChars) {\n var test = display.measure.appendChild(elt(\"div\", [elt(\"div\", last)],\n \"CodeMirror-linenumber CodeMirror-gutter-elt\"));\n var innerW = test.firstChild.offsetWidth, padding = test.offsetWidth - innerW;\n display.lineGutter.style.width = \"\";\n display.lineNumInnerWidth = Math.max(innerW, display.lineGutter.offsetWidth - padding);\n display.lineNumWidth = display.lineNumInnerWidth + padding;\n display.lineNumChars = display.lineNumInnerWidth ? last.length : -1;\n display.lineGutter.style.width = display.lineNumWidth + \"px\";\n updateGutterSpace(cm);\n return true;\n }\n return false;\n }\n\n function lineNumberFor(options, i) {\n return String(options.lineNumberFormatter(i + options.firstLineNumber));\n }\n\n // Computes display.scroller.scrollLeft + display.gutters.offsetWidth,\n // but using getBoundingClientRect to get a sub-pixel-accurate\n // result.\n function compensateForHScroll(display) {\n return display.scroller.getBoundingClientRect().left - display.sizer.getBoundingClientRect().left;\n }\n\n // DISPLAY DRAWING\n\n // Updates the display, selection, and scrollbars, using the\n // information in display.view to find out which nodes are no longer\n // up-to-date. Tries to bail out early when no changes are needed,\n // unless forced is true.\n // Returns true if an actual update happened, false otherwise.\n function updateDisplay(cm, viewPort, forced) {\n var oldFrom = cm.display.viewFrom, oldTo = cm.display.viewTo, updated;\n var visible = visibleLines(cm.display, cm.doc, viewPort);\n for (var first = true;; first = false) {\n var oldWidth = cm.display.scroller.clientWidth;\n if (!updateDisplayInner(cm, visible, forced)) break;\n updated = true;\n\n // If the max line changed since it was last measured, measure it,\n // and ensure the document's width matches it.\n if (cm.display.maxLineChanged && !cm.options.lineWrapping)\n adjustContentWidth(cm);\n\n var barMeasure = measureForScrollbars(cm);\n updateSelection(cm);\n setDocumentHeight(cm, barMeasure);\n updateScrollbars(cm, barMeasure);\n if (webkit && cm.options.lineWrapping)\n checkForWebkitWidthBug(cm, barMeasure); // (Issue #2420)\n if (first && cm.options.lineWrapping && oldWidth != cm.display.scroller.clientWidth) {\n forced = true;\n continue;\n }\n forced = false;\n\n // Clip forced viewport to actual scrollable area.\n if (viewPort && viewPort.top != null)\n viewPort = {top: Math.min(barMeasure.docHeight - scrollerCutOff - barMeasure.clientHeight, viewPort.top)};\n // Updated line heights might result in the drawn area not\n // actually covering the viewport. Keep looping until it does.\n visible = visibleLines(cm.display, cm.doc, viewPort);\n if (visible.from >= cm.display.viewFrom && visible.to <= cm.display.viewTo)\n break;\n }\n\n cm.display.updateLineNumbers = null;\n if (updated) {\n signalLater(cm, \"update\", cm);\n if (cm.display.viewFrom != oldFrom || cm.display.viewTo != oldTo)\n signalLater(cm, \"viewportChange\", cm, cm.display.viewFrom, cm.display.viewTo);\n }\n return updated;\n }\n\n // Does the actual updating of the line display. Bails out\n // (returning false) when there is nothing to be done and forced is\n // false.\n function updateDisplayInner(cm, visible, forced) {\n var display = cm.display, doc = cm.doc;\n if (!display.wrapper.offsetWidth) {\n resetView(cm);\n return;\n }\n\n // Bail out if the visible area is already rendered and nothing changed.\n if (!forced && visible.from >= display.viewFrom && visible.to <= display.viewTo &&\n countDirtyView(cm) == 0)\n return;\n\n if (maybeUpdateLineNumberWidth(cm))\n resetView(cm);\n var dims = getDimensions(cm);\n\n // Compute a suitable new viewport (from & to)\n var end = doc.first + doc.size;\n var from = Math.max(visible.from - cm.options.viewportMargin, doc.first);\n var to = Math.min(end, visible.to + cm.options.viewportMargin);\n if (display.viewFrom < from && from - display.viewFrom < 20) from = Math.max(doc.first, display.viewFrom);\n if (display.viewTo > to && display.viewTo - to < 20) to = Math.min(end, display.viewTo);\n if (sawCollapsedSpans) {\n from = visualLineNo(cm.doc, from);\n to = visualLineEndNo(cm.doc, to);\n }\n\n var different = from != display.viewFrom || to != display.viewTo ||\n display.lastSizeC != display.wrapper.clientHeight;\n adjustView(cm, from, to);\n\n display.viewOffset = heightAtLine(getLine(cm.doc, display.viewFrom));\n // Position the mover div to align with the current scroll position\n cm.display.mover.style.top = display.viewOffset + \"px\";\n\n var toUpdate = countDirtyView(cm);\n if (!different && toUpdate == 0 && !forced) return;\n\n // For big changes, we hide the enclosing element during the\n // update, since that speeds up the operations on most browsers.\n var focused = activeElt();\n if (toUpdate > 4) display.lineDiv.style.display = \"none\";\n patchDisplay(cm, display.updateLineNumbers, dims);\n if (toUpdate > 4) display.lineDiv.style.display = \"\";\n // There might have been a widget with a focused element that got\n // hidden or updated, if so re-focus it.\n if (focused && activeElt() != focused && focused.offsetHeight) focused.focus();\n\n // Prevent selection and cursors from interfering with the scroll\n // width.\n removeChildren(display.cursorDiv);\n removeChildren(display.selectionDiv);\n\n if (different) {\n display.lastSizeC = display.wrapper.clientHeight;\n startWorker(cm, 400);\n }\n\n updateHeightsInViewport(cm);\n\n return true;\n }\n\n function adjustContentWidth(cm) {\n var display = cm.display;\n var width = measureChar(cm, display.maxLine, display.maxLine.text.length).left;\n display.maxLineChanged = false;\n var minWidth = Math.max(0, width + 3);\n var maxScrollLeft = Math.max(0, display.sizer.offsetLeft + minWidth + scrollerCutOff - display.scroller.clientWidth);\n display.sizer.style.minWidth = minWidth + \"px\";\n if (maxScrollLeft < cm.doc.scrollLeft)\n setScrollLeft(cm, Math.min(display.scroller.scrollLeft, maxScrollLeft), true);\n }\n\n function setDocumentHeight(cm, measure) {\n cm.display.sizer.style.minHeight = cm.display.heightForcer.style.top = measure.docHeight + \"px\";\n cm.display.gutters.style.height = Math.max(measure.docHeight, measure.clientHeight - scrollerCutOff) + \"px\";\n }\n\n\n function checkForWebkitWidthBug(cm, measure) {\n // Work around Webkit bug where it sometimes reserves space for a\n // non-existing phantom scrollbar in the scroller (Issue #2420)\n if (cm.display.sizer.offsetWidth + cm.display.gutters.offsetWidth < cm.display.scroller.clientWidth - 1) {\n cm.display.sizer.style.minHeight = cm.display.heightForcer.style.top = \"0px\";\n cm.display.gutters.style.height = measure.docHeight + \"px\";\n }\n }\n\n // Read the actual heights of the rendered lines, and update their\n // stored heights to match.\n function updateHeightsInViewport(cm) {\n var display = cm.display;\n var prevBottom = display.lineDiv.offsetTop;\n for (var i = 0; i < display.view.length; i++) {\n var cur = display.view[i], height;\n if (cur.hidden) continue;\n if (ie_upto7) {\n var bot = cur.node.offsetTop + cur.node.offsetHeight;\n height = bot - prevBottom;\n prevBottom = bot;\n } else {\n var box = cur.node.getBoundingClientRect();\n height = box.bottom - box.top;\n }\n var diff = cur.line.height - height;\n if (height < 2) height = textHeight(display);\n if (diff > .001 || diff < -.001) {\n updateLineHeight(cur.line, height);\n updateWidgetHeight(cur.line);\n if (cur.rest) for (var j = 0; j < cur.rest.length; j++)\n updateWidgetHeight(cur.rest[j]);\n }\n }\n }\n\n // Read and store the height of line widgets associated with the\n // given line.\n function updateWidgetHeight(line) {\n if (line.widgets) for (var i = 0; i < line.widgets.length; ++i)\n line.widgets[i].height = line.widgets[i].node.offsetHeight;\n }\n\n // Do a bulk-read of the DOM positions and sizes needed to draw the\n // view, so that we don't interleave reading and writing to the DOM.\n function getDimensions(cm) {\n var d = cm.display, left = {}, width = {};\n for (var n = d.gutters.firstChild, i = 0; n; n = n.nextSibling, ++i) {\n left[cm.options.gutters[i]] = n.offsetLeft;\n width[cm.options.gutters[i]] = n.offsetWidth;\n }\n return {fixedPos: compensateForHScroll(d),\n gutterTotalWidth: d.gutters.offsetWidth,\n gutterLeft: left,\n gutterWidth: width,\n wrapperWidth: d.wrapper.clientWidth};\n }\n\n // Sync the actual display DOM structure with display.view, removing\n // nodes for lines that are no longer in view, and creating the ones\n // that are not there yet, and updating the ones that are out of\n // date.\n function patchDisplay(cm, updateNumbersFrom, dims) {\n var display = cm.display, lineNumbers = cm.options.lineNumbers;\n var container = display.lineDiv, cur = container.firstChild;\n\n function rm(node) {\n var next = node.nextSibling;\n // Works around a throw-scroll bug in OS X Webkit\n if (webkit && mac && cm.display.currentWheelTarget == node)\n node.style.display = \"none\";\n else\n node.parentNode.removeChild(node);\n return next;\n }\n\n var view = display.view, lineN = display.viewFrom;\n // Loop over the elements in the view, syncing cur (the DOM nodes\n // in display.lineDiv) with the view as we go.\n for (var i = 0; i < view.length; i++) {\n var lineView = view[i];\n if (lineView.hidden) {\n } else if (!lineView.node) { // Not drawn yet\n var node = buildLineElement(cm, lineView, lineN, dims);\n container.insertBefore(node, cur);\n } else { // Already drawn\n while (cur != lineView.node) cur = rm(cur);\n var updateNumber = lineNumbers && updateNumbersFrom != null &&\n updateNumbersFrom <= lineN && lineView.lineNumber;\n if (lineView.changes) {\n if (indexOf(lineView.changes, \"gutter\") > -1) updateNumber = false;\n updateLineForChanges(cm, lineView, lineN, dims);\n }\n if (updateNumber) {\n removeChildren(lineView.lineNumber);\n lineView.lineNumber.appendChild(document.createTextNode(lineNumberFor(cm.options, lineN)));\n }\n cur = lineView.node.nextSibling;\n }\n lineN += lineView.size;\n }\n while (cur) cur = rm(cur);\n }\n\n // When an aspect of a line changes, a string is added to\n // lineView.changes. This updates the relevant part of the line's\n // DOM structure.\n function updateLineForChanges(cm, lineView, lineN, dims) {\n for (var j = 0; j < lineView.changes.length; j++) {\n var type = lineView.changes[j];\n if (type == \"text\") updateLineText(cm, lineView);\n else if (type == \"gutter\") updateLineGutter(cm, lineView, lineN, dims);\n else if (type == \"class\") updateLineClasses(lineView);\n else if (type == \"widget\") updateLineWidgets(lineView, dims);\n }\n lineView.changes = null;\n }\n\n // Lines with gutter elements, widgets or a background class need to\n // be wrapped, and have the extra elements added to the wrapper div\n function ensureLineWrapped(lineView) {\n if (lineView.node == lineView.text) {\n lineView.node = elt(\"div\", null, null, \"position: relative\");\n if (lineView.text.parentNode)\n lineView.text.parentNode.replaceChild(lineView.node, lineView.text);\n lineView.node.appendChild(lineView.text);\n if (ie_upto7) lineView.node.style.zIndex = 2;\n }\n return lineView.node;\n }\n\n function updateLineBackground(lineView) {\n var cls = lineView.bgClass ? lineView.bgClass + \" \" + (lineView.line.bgClass || \"\") : lineView.line.bgClass;\n if (cls) cls += \" CodeMirror-linebackground\";\n if (lineView.background) {\n if (cls) lineView.background.className = cls;\n else { lineView.background.parentNode.removeChild(lineView.background); lineView.background = null; }\n } else if (cls) {\n var wrap = ensureLineWrapped(lineView);\n lineView.background = wrap.insertBefore(elt(\"div\", null, cls), wrap.firstChild);\n }\n }\n\n // Wrapper around buildLineContent which will reuse the structure\n // in display.externalMeasured when possible.\n function getLineContent(cm, lineView) {\n var ext = cm.display.externalMeasured;\n if (ext && ext.line == lineView.line) {\n cm.display.externalMeasured = null;\n lineView.measure = ext.measure;\n return ext.built;\n }\n return buildLineContent(cm, lineView);\n }\n\n // Redraw the line's text. Interacts with the background and text\n // classes because the mode may output tokens that influence these\n // classes.\n function updateLineText(cm, lineView) {\n var cls = lineView.text.className;\n var built = getLineContent(cm, lineView);\n if (lineView.text == lineView.node) lineView.node = built.pre;\n lineView.text.parentNode.replaceChild(built.pre, lineView.text);\n lineView.text = built.pre;\n if (built.bgClass != lineView.bgClass || built.textClass != lineView.textClass) {\n lineView.bgClass = built.bgClass;\n lineView.textClass = built.textClass;\n updateLineClasses(lineView);\n } else if (cls) {\n lineView.text.className = cls;\n }\n }\n\n function updateLineClasses(lineView) {\n updateLineBackground(lineView);\n if (lineView.line.wrapClass)\n ensureLineWrapped(lineView).className = lineView.line.wrapClass;\n else if (lineView.node != lineView.text)\n lineView.node.className = \"\";\n var textClass = lineView.textClass ? lineView.textClass + \" \" + (lineView.line.textClass || \"\") : lineView.line.textClass;\n lineView.text.className = textClass || \"\";\n }\n\n function updateLineGutter(cm, lineView, lineN, dims) {\n if (lineView.gutter) {\n lineView.node.removeChild(lineView.gutter);\n lineView.gutter = null;\n }\n var markers = lineView.line.gutterMarkers;\n if (cm.options.lineNumbers || markers) {\n var wrap = ensureLineWrapped(lineView);\n var gutterWrap = lineView.gutter =\n wrap.insertBefore(elt(\"div\", null, \"CodeMirror-gutter-wrapper\", \"position: absolute; left: \" +\n (cm.options.fixedGutter ? dims.fixedPos : -dims.gutterTotalWidth) + \"px\"),\n lineView.text);\n if (cm.options.lineNumbers && (!markers || !markers[\"CodeMirror-linenumbers\"]))\n lineView.lineNumber = gutterWrap.appendChild(\n elt(\"div\", lineNumberFor(cm.options, lineN),\n \"CodeMirror-linenumber CodeMirror-gutter-elt\",\n \"left: \" + dims.gutterLeft[\"CodeMirror-linenumbers\"] + \"px; width: \"\n + cm.display.lineNumInnerWidth + \"px\"));\n if (markers) for (var k = 0; k < cm.options.gutters.length; ++k) {\n var id = cm.options.gutters[k], found = markers.hasOwnProperty(id) && markers[id];\n if (found)\n gutterWrap.appendChild(elt(\"div\", [found], \"CodeMirror-gutter-elt\", \"left: \" +\n dims.gutterLeft[id] + \"px; width: \" + dims.gutterWidth[id] + \"px\"));\n }\n }\n }\n\n function updateLineWidgets(lineView, dims) {\n if (lineView.alignable) lineView.alignable = null;\n for (var node = lineView.node.firstChild, next; node; node = next) {\n var next = node.nextSibling;\n if (node.className == \"CodeMirror-linewidget\")\n lineView.node.removeChild(node);\n }\n insertLineWidgets(lineView, dims);\n }\n\n // Build a line's DOM representation from scratch\n function buildLineElement(cm, lineView, lineN, dims) {\n var built = getLineContent(cm, lineView);\n lineView.text = lineView.node = built.pre;\n if (built.bgClass) lineView.bgClass = built.bgClass;\n if (built.textClass) lineView.textClass = built.textClass;\n\n updateLineClasses(lineView);\n updateLineGutter(cm, lineView, lineN, dims);\n insertLineWidgets(lineView, dims);\n return lineView.node;\n }\n\n // A lineView may contain multiple logical lines (when merged by\n // collapsed spans). The widgets for all of them need to be drawn.\n function insertLineWidgets(lineView, dims) {\n insertLineWidgetsFor(lineView.line, lineView, dims, true);\n if (lineView.rest) for (var i = 0; i < lineView.rest.length; i++)\n insertLineWidgetsFor(lineView.rest[i], lineView, dims, false);\n }\n\n function insertLineWidgetsFor(line, lineView, dims, allowAbove) {\n if (!line.widgets) return;\n var wrap = ensureLineWrapped(lineView);\n for (var i = 0, ws = line.widgets; i < ws.length; ++i) {\n var widget = ws[i], node = elt(\"div\", [widget.node], \"CodeMirror-linewidget\");\n if (!widget.handleMouseEvents) node.ignoreEvents = true;\n positionLineWidget(widget, node, lineView, dims);\n if (allowAbove && widget.above)\n wrap.insertBefore(node, lineView.gutter || lineView.text);\n else\n wrap.appendChild(node);\n signalLater(widget, \"redraw\");\n }\n }\n\n function positionLineWidget(widget, node, lineView, dims) {\n if (widget.noHScroll) {\n (lineView.alignable || (lineView.alignable = [])).push(node);\n var width = dims.wrapperWidth;\n node.style.left = dims.fixedPos + \"px\";\n if (!widget.coverGutter) {\n width -= dims.gutterTotalWidth;\n node.style.paddingLeft = dims.gutterTotalWidth + \"px\";\n }\n node.style.width = width + \"px\";\n }\n if (widget.coverGutter) {\n node.style.zIndex = 5;\n node.style.position = \"relative\";\n if (!widget.noHScroll) node.style.marginLeft = -dims.gutterTotalWidth + \"px\";\n }\n }\n\n // POSITION OBJECT\n\n // A Pos instance represents a position within the text.\n var Pos = CodeMirror.Pos = function(line, ch) {\n if (!(this instanceof Pos)) return new Pos(line, ch);\n this.line = line; this.ch = ch;\n };\n\n // Compare two positions, return 0 if they are the same, a negative\n // number when a is less, and a positive number otherwise.\n var cmp = CodeMirror.cmpPos = function(a, b) { return a.line - b.line || a.ch - b.ch; };\n\n function copyPos(x) {return Pos(x.line, x.ch);}\n function maxPos(a, b) { return cmp(a, b) < 0 ? b : a; }\n function minPos(a, b) { return cmp(a, b) < 0 ? a : b; }\n\n // SELECTION / CURSOR\n\n // Selection objects are immutable. A new one is created every time\n // the selection changes. A selection is one or more non-overlapping\n // (and non-touching) ranges, sorted, and an integer that indicates\n // which one is the primary selection (the one that's scrolled into\n // view, that getCursor returns, etc).\n function Selection(ranges, primIndex) {\n this.ranges = ranges;\n this.primIndex = primIndex;\n }\n\n Selection.prototype = {\n primary: function() { return this.ranges[this.primIndex]; },\n equals: function(other) {\n if (other == this) return true;\n if (other.primIndex != this.primIndex || other.ranges.length != this.ranges.length) return false;\n for (var i = 0; i < this.ranges.length; i++) {\n var here = this.ranges[i], there = other.ranges[i];\n if (cmp(here.anchor, there.anchor) != 0 || cmp(here.head, there.head) != 0) return false;\n }\n return true;\n },\n deepCopy: function() {\n for (var out = [], i = 0; i < this.ranges.length; i++)\n out[i] = new Range(copyPos(this.ranges[i].anchor), copyPos(this.ranges[i].head));\n return new Selection(out, this.primIndex);\n },\n somethingSelected: function() {\n for (var i = 0; i < this.ranges.length; i++)\n if (!this.ranges[i].empty()) return true;\n return false;\n },\n contains: function(pos, end) {\n if (!end) end = pos;\n for (var i = 0; i < this.ranges.length; i++) {\n var range = this.ranges[i];\n if (cmp(end, range.from()) >= 0 && cmp(pos, range.to()) <= 0)\n return i;\n }\n return -1;\n }\n };\n\n function Range(anchor, head) {\n this.anchor = anchor; this.head = head;\n }\n\n Range.prototype = {\n from: function() { return minPos(this.anchor, this.head); },\n to: function() { return maxPos(this.anchor, this.head); },\n empty: function() {\n return this.head.line == this.anchor.line && this.head.ch == this.anchor.ch;\n }\n };\n\n // Take an unsorted, potentially overlapping set of ranges, and\n // build a selection out of it. 'Consumes' ranges array (modifying\n // it).\n function normalizeSelection(ranges, primIndex) {\n var prim = ranges[primIndex];\n ranges.sort(function(a, b) { return cmp(a.from(), b.from()); });\n primIndex = indexOf(ranges, prim);\n for (var i = 1; i < ranges.length; i++) {\n var cur = ranges[i], prev = ranges[i - 1];\n if (cmp(prev.to(), cur.from()) >= 0) {\n var from = minPos(prev.from(), cur.from()), to = maxPos(prev.to(), cur.to());\n var inv = prev.empty() ? cur.from() == cur.head : prev.from() == prev.head;\n if (i <= primIndex) --primIndex;\n ranges.splice(--i, 2, new Range(inv ? to : from, inv ? from : to));\n }\n }\n return new Selection(ranges, primIndex);\n }\n\n function simpleSelection(anchor, head) {\n return new Selection([new Range(anchor, head || anchor)], 0);\n }\n\n // Most of the external API clips given positions to make sure they\n // actually exist within the document.\n function clipLine(doc, n) {return Math.max(doc.first, Math.min(n, doc.first + doc.size - 1));}\n function clipPos(doc, pos) {\n if (pos.line < doc.first) return Pos(doc.first, 0);\n var last = doc.first + doc.size - 1;\n if (pos.line > last) return Pos(last, getLine(doc, last).text.length);\n return clipToLen(pos, getLine(doc, pos.line).text.length);\n }\n function clipToLen(pos, linelen) {\n var ch = pos.ch;\n if (ch == null || ch > linelen) return Pos(pos.line, linelen);\n else if (ch < 0) return Pos(pos.line, 0);\n else return pos;\n }\n function isLine(doc, l) {return l >= doc.first && l < doc.first + doc.size;}\n function clipPosArray(doc, array) {\n for (var out = [], i = 0; i < array.length; i++) out[i] = clipPos(doc, array[i]);\n return out;\n }\n\n // SELECTION UPDATES\n\n // The 'scroll' parameter given to many of these indicated whether\n // the new cursor position should be scrolled into view after\n // modifying the selection.\n\n // If shift is held or the extend flag is set, extends a range to\n // include a given position (and optionally a second position).\n // Otherwise, simply returns the range between the given positions.\n // Used for cursor motion and such.\n function extendRange(doc, range, head, other) {\n if (doc.cm && doc.cm.display.shift || doc.extend) {\n var anchor = range.anchor;\n if (other) {\n var posBefore = cmp(head, anchor) < 0;\n if (posBefore != (cmp(other, anchor) < 0)) {\n anchor = head;\n head = other;\n } else if (posBefore != (cmp(head, other) < 0)) {\n head = other;\n }\n }\n return new Range(anchor, head);\n } else {\n return new Range(other || head, head);\n }\n }\n\n // Extend the primary selection range, discard the rest.\n function extendSelection(doc, head, other, options) {\n setSelection(doc, new Selection([extendRange(doc, doc.sel.primary(), head, other)], 0), options);\n }\n\n // Extend all selections (pos is an array of selections with length\n // equal the number of selections)\n function extendSelections(doc, heads, options) {\n for (var out = [], i = 0; i < doc.sel.ranges.length; i++)\n out[i] = extendRange(doc, doc.sel.ranges[i], heads[i], null);\n var newSel = normalizeSelection(out, doc.sel.primIndex);\n setSelection(doc, newSel, options);\n }\n\n // Updates a single range in the selection.\n function replaceOneSelection(doc, i, range, options) {\n var ranges = doc.sel.ranges.slice(0);\n ranges[i] = range;\n setSelection(doc, normalizeSelection(ranges, doc.sel.primIndex), options);\n }\n\n // Reset the selection to a single range.\n function setSimpleSelection(doc, anchor, head, options) {\n setSelection(doc, simpleSelection(anchor, head), options);\n }\n\n // Give beforeSelectionChange handlers a change to influence a\n // selection update.\n function filterSelectionChange(doc, sel) {\n var obj = {\n ranges: sel.ranges,\n update: function(ranges) {\n this.ranges = [];\n for (var i = 0; i < ranges.length; i++)\n this.ranges[i] = new Range(clipPos(doc, ranges[i].anchor),\n clipPos(doc, ranges[i].head));\n }\n };\n signal(doc, \"beforeSelectionChange\", doc, obj);\n if (doc.cm) signal(doc.cm, \"beforeSelectionChange\", doc.cm, obj);\n if (obj.ranges != sel.ranges) return normalizeSelection(obj.ranges, obj.ranges.length - 1);\n else return sel;\n }\n\n function setSelectionReplaceHistory(doc, sel, options) {\n var done = doc.history.done, last = lst(done);\n if (last && last.ranges) {\n done[done.length - 1] = sel;\n setSelectionNoUndo(doc, sel, options);\n } else {\n setSelection(doc, sel, options);\n }\n }\n\n // Set a new selection.\n function setSelection(doc, sel, options) {\n setSelectionNoUndo(doc, sel, options);\n addSelectionToHistory(doc, doc.sel, doc.cm ? doc.cm.curOp.id : NaN, options);\n }\n\n function setSelectionNoUndo(doc, sel, options) {\n if (hasHandler(doc, \"beforeSelectionChange\") || doc.cm && hasHandler(doc.cm, \"beforeSelectionChange\"))\n sel = filterSelectionChange(doc, sel);\n\n var bias = cmp(sel.primary().head, doc.sel.primary().head) < 0 ? -1 : 1;\n setSelectionInner(doc, skipAtomicInSelection(doc, sel, bias, true));\n\n if (!(options && options.scroll === false) && doc.cm)\n ensureCursorVisible(doc.cm);\n }\n\n function setSelectionInner(doc, sel) {\n if (sel.equals(doc.sel)) return;\n\n doc.sel = sel;\n\n if (doc.cm) {\n doc.cm.curOp.updateInput = doc.cm.curOp.selectionChanged = true;\n signalCursorActivity(doc.cm);\n }\n signalLater(doc, \"cursorActivity\", doc);\n }\n\n // Verify that the selection does not partially select any atomic\n // marked ranges.\n function reCheckSelection(doc) {\n setSelectionInner(doc, skipAtomicInSelection(doc, doc.sel, null, false), sel_dontScroll);\n }\n\n // Return a selection that does not partially select any atomic\n // ranges.\n function skipAtomicInSelection(doc, sel, bias, mayClear) {\n var out;\n for (var i = 0; i < sel.ranges.length; i++) {\n var range = sel.ranges[i];\n var newAnchor = skipAtomic(doc, range.anchor, bias, mayClear);\n var newHead = skipAtomic(doc, range.head, bias, mayClear);\n if (out || newAnchor != range.anchor || newHead != range.head) {\n if (!out) out = sel.ranges.slice(0, i);\n out[i] = new Range(newAnchor, newHead);\n }\n }\n return out ? normalizeSelection(out, sel.primIndex) : sel;\n }\n\n // Ensure a given position is not inside an atomic range.\n function skipAtomic(doc, pos, bias, mayClear) {\n var flipped = false, curPos = pos;\n var dir = bias || 1;\n doc.cantEdit = false;\n search: for (;;) {\n var line = getLine(doc, curPos.line);\n if (line.markedSpans) {\n for (var i = 0; i < line.markedSpans.length; ++i) {\n var sp = line.markedSpans[i], m = sp.marker;\n if ((sp.from == null || (m.inclusiveLeft ? sp.from <= curPos.ch : sp.from < curPos.ch)) &&\n (sp.to == null || (m.inclusiveRight ? sp.to >= curPos.ch : sp.to > curPos.ch))) {\n if (mayClear) {\n signal(m, \"beforeCursorEnter\");\n if (m.explicitlyCleared) {\n if (!line.markedSpans) break;\n else {--i; continue;}\n }\n }\n if (!m.atomic) continue;\n var newPos = m.find(dir < 0 ? -1 : 1);\n if (cmp(newPos, curPos) == 0) {\n newPos.ch += dir;\n if (newPos.ch < 0) {\n if (newPos.line > doc.first) newPos = clipPos(doc, Pos(newPos.line - 1));\n else newPos = null;\n } else if (newPos.ch > line.text.length) {\n if (newPos.line < doc.first + doc.size - 1) newPos = Pos(newPos.line + 1, 0);\n else newPos = null;\n }\n if (!newPos) {\n if (flipped) {\n // Driven in a corner -- no valid cursor position found at all\n // -- try again *with* clearing, if we didn't already\n if (!mayClear) return skipAtomic(doc, pos, bias, true);\n // Otherwise, turn off editing until further notice, and return the start of the doc\n doc.cantEdit = true;\n return Pos(doc.first, 0);\n }\n flipped = true; newPos = pos; dir = -dir;\n }\n }\n curPos = newPos;\n continue search;\n }\n }\n }\n return curPos;\n }\n }\n\n // SELECTION DRAWING\n\n // Redraw the selection and/or cursor\n function updateSelection(cm) {\n var display = cm.display, doc = cm.doc;\n var curFragment = document.createDocumentFragment();\n var selFragment = document.createDocumentFragment();\n\n for (var i = 0; i < doc.sel.ranges.length; i++) {\n var range = doc.sel.ranges[i];\n var collapsed = range.empty();\n if (collapsed || cm.options.showCursorWhenSelecting)\n drawSelectionCursor(cm, range, curFragment);\n if (!collapsed)\n drawSelectionRange(cm, range, selFragment);\n }\n\n // Move the hidden textarea near the cursor to prevent scrolling artifacts\n if (cm.options.moveInputWithCursor) {\n var headPos = cursorCoords(cm, doc.sel.primary().head, \"div\");\n var wrapOff = display.wrapper.getBoundingClientRect(), lineOff = display.lineDiv.getBoundingClientRect();\n var top = Math.max(0, Math.min(display.wrapper.clientHeight - 10,\n headPos.top + lineOff.top - wrapOff.top));\n var left = Math.max(0, Math.min(display.wrapper.clientWidth - 10,\n headPos.left + lineOff.left - wrapOff.left));\n display.inputDiv.style.top = top + \"px\";\n display.inputDiv.style.left = left + \"px\";\n }\n\n removeChildrenAndAdd(display.cursorDiv, curFragment);\n removeChildrenAndAdd(display.selectionDiv, selFragment);\n }\n\n // Draws a cursor for the given range\n function drawSelectionCursor(cm, range, output) {\n var pos = cursorCoords(cm, range.head, \"div\");\n\n var cursor = output.appendChild(elt(\"div\", \"\\u00a0\", \"CodeMirror-cursor\"));\n cursor.style.left = pos.left + \"px\";\n cursor.style.top = pos.top + \"px\";\n cursor.style.height = Math.max(0, pos.bottom - pos.top) * cm.options.cursorHeight + \"px\";\n\n if (pos.other) {\n // Secondary cursor, shown when on a 'jump' in bi-directional text\n var otherCursor = output.appendChild(elt(\"div\", \"\\u00a0\", \"CodeMirror-cursor CodeMirror-secondarycursor\"));\n otherCursor.style.display = \"\";\n otherCursor.style.left = pos.other.left + \"px\";\n otherCursor.style.top = pos.other.top + \"px\";\n otherCursor.style.height = (pos.other.bottom - pos.other.top) * .85 + \"px\";\n }\n }\n\n // Draws the given range as a highlighted selection\n function drawSelectionRange(cm, range, output) {\n var display = cm.display, doc = cm.doc;\n var fragment = document.createDocumentFragment();\n var padding = paddingH(cm.display), leftSide = padding.left, rightSide = display.lineSpace.offsetWidth - padding.right;\n\n function add(left, top, width, bottom) {\n if (top < 0) top = 0;\n top = Math.round(top);\n bottom = Math.round(bottom);\n fragment.appendChild(elt(\"div\", null, \"CodeMirror-selected\", \"position: absolute; left: \" + left +\n \"px; top: \" + top + \"px; width: \" + (width == null ? rightSide - left : width) +\n \"px; height: \" + (bottom - top) + \"px\"));\n }\n\n function drawForLine(line, fromArg, toArg) {\n var lineObj = getLine(doc, line);\n var lineLen = lineObj.text.length;\n var start, end;\n function coords(ch, bias) {\n return charCoords(cm, Pos(line, ch), \"div\", lineObj, bias);\n }\n\n iterateBidiSections(getOrder(lineObj), fromArg || 0, toArg == null ? lineLen : toArg, function(from, to, dir) {\n var leftPos = coords(from, \"left\"), rightPos, left, right;\n if (from == to) {\n rightPos = leftPos;\n left = right = leftPos.left;\n } else {\n rightPos = coords(to - 1, \"right\");\n if (dir == \"rtl\") { var tmp = leftPos; leftPos = rightPos; rightPos = tmp; }\n left = leftPos.left;\n right = rightPos.right;\n }\n if (fromArg == null && from == 0) left = leftSide;\n if (rightPos.top - leftPos.top > 3) { // Different lines, draw top part\n add(left, leftPos.top, null, leftPos.bottom);\n left = leftSide;\n if (leftPos.bottom < rightPos.top) add(left, leftPos.bottom, null, rightPos.top);\n }\n if (toArg == null && to == lineLen) right = rightSide;\n if (!start || leftPos.top < start.top || leftPos.top == start.top && leftPos.left < start.left)\n start = leftPos;\n if (!end || rightPos.bottom > end.bottom || rightPos.bottom == end.bottom && rightPos.right > end.right)\n end = rightPos;\n if (left < leftSide + 1) left = leftSide;\n add(left, rightPos.top, right - left, rightPos.bottom);\n });\n return {start: start, end: end};\n }\n\n var sFrom = range.from(), sTo = range.to();\n if (sFrom.line == sTo.line) {\n drawForLine(sFrom.line, sFrom.ch, sTo.ch);\n } else {\n var fromLine = getLine(doc, sFrom.line), toLine = getLine(doc, sTo.line);\n var singleVLine = visualLine(fromLine) == visualLine(toLine);\n var leftEnd = drawForLine(sFrom.line, sFrom.ch, singleVLine ? fromLine.text.length + 1 : null).end;\n var rightStart = drawForLine(sTo.line, singleVLine ? 0 : null, sTo.ch).start;\n if (singleVLine) {\n if (leftEnd.top < rightStart.top - 2) {\n add(leftEnd.right, leftEnd.top, null, leftEnd.bottom);\n add(leftSide, rightStart.top, rightStart.left, rightStart.bottom);\n } else {\n add(leftEnd.right, leftEnd.top, rightStart.left - leftEnd.right, leftEnd.bottom);\n }\n }\n if (leftEnd.bottom < rightStart.top)\n add(leftSide, leftEnd.bottom, null, rightStart.top);\n }\n\n output.appendChild(fragment);\n }\n\n // Cursor-blinking\n function restartBlink(cm) {\n if (!cm.state.focused) return;\n var display = cm.display;\n clearInterval(display.blinker);\n var on = true;\n display.cursorDiv.style.visibility = \"\";\n if (cm.options.cursorBlinkRate > 0)\n display.blinker = setInterval(function() {\n display.cursorDiv.style.visibility = (on = !on) ? \"\" : \"hidden\";\n }, cm.options.cursorBlinkRate);\n }\n\n // HIGHLIGHT WORKER\n\n function startWorker(cm, time) {\n if (cm.doc.mode.startState && cm.doc.frontier < cm.display.viewTo)\n cm.state.highlight.set(time, bind(highlightWorker, cm));\n }\n\n function highlightWorker(cm) {\n var doc = cm.doc;\n if (doc.frontier < doc.first) doc.frontier = doc.first;\n if (doc.frontier >= cm.display.viewTo) return;\n var end = +new Date + cm.options.workTime;\n var state = copyState(doc.mode, getStateBefore(cm, doc.frontier));\n\n runInOp(cm, function() {\n doc.iter(doc.frontier, Math.min(doc.first + doc.size, cm.display.viewTo + 500), function(line) {\n if (doc.frontier >= cm.display.viewFrom) { // Visible\n var oldStyles = line.styles;\n var highlighted = highlightLine(cm, line, state, true);\n line.styles = highlighted.styles;\n if (highlighted.classes) line.styleClasses = highlighted.classes;\n else if (line.styleClasses) line.styleClasses = null;\n var ischange = !oldStyles || oldStyles.length != line.styles.length;\n for (var i = 0; !ischange && i < oldStyles.length; ++i) ischange = oldStyles[i] != line.styles[i];\n if (ischange) regLineChange(cm, doc.frontier, \"text\");\n line.stateAfter = copyState(doc.mode, state);\n } else {\n processLine(cm, line.text, state);\n line.stateAfter = doc.frontier % 5 == 0 ? copyState(doc.mode, state) : null;\n }\n ++doc.frontier;\n if (+new Date > end) {\n startWorker(cm, cm.options.workDelay);\n return true;\n }\n });\n });\n }\n\n // Finds the line to start with when starting a parse. Tries to\n // find a line with a stateAfter, so that it can start with a\n // valid state. If that fails, it returns the line with the\n // smallest indentation, which tends to need the least context to\n // parse correctly.\n function findStartLine(cm, n, precise) {\n var minindent, minline, doc = cm.doc;\n var lim = precise ? -1 : n - (cm.doc.mode.innerMode ? 1000 : 100);\n for (var search = n; search > lim; --search) {\n if (search <= doc.first) return doc.first;\n var line = getLine(doc, search - 1);\n if (line.stateAfter && (!precise || search <= doc.frontier)) return search;\n var indented = countColumn(line.text, null, cm.options.tabSize);\n if (minline == null || minindent > indented) {\n minline = search - 1;\n minindent = indented;\n }\n }\n return minline;\n }\n\n function getStateBefore(cm, n, precise) {\n var doc = cm.doc, display = cm.display;\n if (!doc.mode.startState) return true;\n var pos = findStartLine(cm, n, precise), state = pos > doc.first && getLine(doc, pos-1).stateAfter;\n if (!state) state = startState(doc.mode);\n else state = copyState(doc.mode, state);\n doc.iter(pos, n, function(line) {\n processLine(cm, line.text, state);\n var save = pos == n - 1 || pos % 5 == 0 || pos >= display.viewFrom && pos < display.viewTo;\n line.stateAfter = save ? copyState(doc.mode, state) : null;\n ++pos;\n });\n if (precise) doc.frontier = pos;\n return state;\n }\n\n // POSITION MEASUREMENT\n\n function paddingTop(display) {return display.lineSpace.offsetTop;}\n function paddingVert(display) {return display.mover.offsetHeight - display.lineSpace.offsetHeight;}\n function paddingH(display) {\n if (display.cachedPaddingH) return display.cachedPaddingH;\n var e = removeChildrenAndAdd(display.measure, elt(\"pre\", \"x\"));\n var style = window.getComputedStyle ? window.getComputedStyle(e) : e.currentStyle;\n var data = {left: parseInt(style.paddingLeft), right: parseInt(style.paddingRight)};\n if (!isNaN(data.left) && !isNaN(data.right)) display.cachedPaddingH = data;\n return data;\n }\n\n // Ensure the lineView.wrapping.heights array is populated. This is\n // an array of bottom offsets for the lines that make up a drawn\n // line. When lineWrapping is on, there might be more than one\n // height.\n function ensureLineHeights(cm, lineView, rect) {\n var wrapping = cm.options.lineWrapping;\n var curWidth = wrapping && cm.display.scroller.clientWidth;\n if (!lineView.measure.heights || wrapping && lineView.measure.width != curWidth) {\n var heights = lineView.measure.heights = [];\n if (wrapping) {\n lineView.measure.width = curWidth;\n var rects = lineView.text.firstChild.getClientRects();\n for (var i = 0; i < rects.length - 1; i++) {\n var cur = rects[i], next = rects[i + 1];\n if (Math.abs(cur.bottom - next.bottom) > 2)\n heights.push((cur.bottom + next.top) / 2 - rect.top);\n }\n }\n heights.push(rect.bottom - rect.top);\n }\n }\n\n // Find a line map (mapping character offsets to text nodes) and a\n // measurement cache for the given line number. (A line view might\n // contain multiple lines when collapsed ranges are present.)\n function mapFromLineView(lineView, line, lineN) {\n if (lineView.line == line)\n return {map: lineView.measure.map, cache: lineView.measure.cache};\n for (var i = 0; i < lineView.rest.length; i++)\n if (lineView.rest[i] == line)\n return {map: lineView.measure.maps[i], cache: lineView.measure.caches[i]};\n for (var i = 0; i < lineView.rest.length; i++)\n if (lineNo(lineView.rest[i]) > lineN)\n return {map: lineView.measure.maps[i], cache: lineView.measure.caches[i], before: true};\n }\n\n // Render a line into the hidden node display.externalMeasured. Used\n // when measurement is needed for a line that's not in the viewport.\n function updateExternalMeasurement(cm, line) {\n line = visualLine(line);\n var lineN = lineNo(line);\n var view = cm.display.externalMeasured = new LineView(cm.doc, line, lineN);\n view.lineN = lineN;\n var built = view.built = buildLineContent(cm, view);\n view.text = built.pre;\n removeChildrenAndAdd(cm.display.lineMeasure, built.pre);\n return view;\n }\n\n // Get a {top, bottom, left, right} box (in line-local coordinates)\n // for a given character.\n function measureChar(cm, line, ch, bias) {\n return measureCharPrepared(cm, prepareMeasureForLine(cm, line), ch, bias);\n }\n\n // Find a line view that corresponds to the given line number.\n function findViewForLine(cm, lineN) {\n if (lineN >= cm.display.viewFrom && lineN < cm.display.viewTo)\n return cm.display.view[findViewIndex(cm, lineN)];\n var ext = cm.display.externalMeasured;\n if (ext && lineN >= ext.lineN && lineN < ext.lineN + ext.size)\n return ext;\n }\n\n // Measurement can be split in two steps, the set-up work that\n // applies to the whole line, and the measurement of the actual\n // character. Functions like coordsChar, that need to do a lot of\n // measurements in a row, can thus ensure that the set-up work is\n // only done once.\n function prepareMeasureForLine(cm, line) {\n var lineN = lineNo(line);\n var view = findViewForLine(cm, lineN);\n if (view && !view.text)\n view = null;\n else if (view && view.changes)\n updateLineForChanges(cm, view, lineN, getDimensions(cm));\n if (!view)\n view = updateExternalMeasurement(cm, line);\n\n var info = mapFromLineView(view, line, lineN);\n return {\n line: line, view: view, rect: null,\n map: info.map, cache: info.cache, before: info.before,\n hasHeights: false\n };\n }\n\n // Given a prepared measurement object, measures the position of an\n // actual character (or fetches it from the cache).\n function measureCharPrepared(cm, prepared, ch, bias) {\n if (prepared.before) ch = -1;\n var key = ch + (bias || \"\"), found;\n if (prepared.cache.hasOwnProperty(key)) {\n found = prepared.cache[key];\n } else {\n if (!prepared.rect)\n prepared.rect = prepared.view.text.getBoundingClientRect();\n if (!prepared.hasHeights) {\n ensureLineHeights(cm, prepared.view, prepared.rect);\n prepared.hasHeights = true;\n }\n found = measureCharInner(cm, prepared, ch, bias);\n if (!found.bogus) prepared.cache[key] = found;\n }\n return {left: found.left, right: found.right, top: found.top, bottom: found.bottom};\n }\n\n var nullRect = {left: 0, right: 0, top: 0, bottom: 0};\n\n function measureCharInner(cm, prepared, ch, bias) {\n var map = prepared.map;\n\n var node, start, end, collapse;\n // First, search the line map for the text node corresponding to,\n // or closest to, the target character.\n for (var i = 0; i < map.length; i += 3) {\n var mStart = map[i], mEnd = map[i + 1];\n if (ch < mStart) {\n start = 0; end = 1;\n collapse = \"left\";\n } else if (ch < mEnd) {\n start = ch - mStart;\n end = start + 1;\n } else if (i == map.length - 3 || ch == mEnd && map[i + 3] > ch) {\n end = mEnd - mStart;\n start = end - 1;\n if (ch >= mEnd) collapse = \"right\";\n }\n if (start != null) {\n node = map[i + 2];\n if (mStart == mEnd && bias == (node.insertLeft ? \"left\" : \"right\"))\n collapse = bias;\n if (bias == \"left\" && start == 0)\n while (i && map[i - 2] == map[i - 3] && map[i - 1].insertLeft) {\n node = map[(i -= 3) + 2];\n collapse = \"left\";\n }\n if (bias == \"right\" && start == mEnd - mStart)\n while (i < map.length - 3 && map[i + 3] == map[i + 4] && !map[i + 5].insertLeft) {\n node = map[(i += 3) + 2];\n collapse = \"right\";\n }\n break;\n }\n }\n\n var rect;\n if (node.nodeType == 3) { // If it is a text node, use a range to retrieve the coordinates.\n while (start && isExtendingChar(prepared.line.text.charAt(mStart + start))) --start;\n while (mStart + end < mEnd && isExtendingChar(prepared.line.text.charAt(mStart + end))) ++end;\n if (ie_upto8 && start == 0 && end == mEnd - mStart) {\n rect = node.parentNode.getBoundingClientRect();\n } else if (ie && cm.options.lineWrapping) {\n var rects = range(node, start, end).getClientRects();\n if (rects.length)\n rect = rects[bias == \"right\" ? rects.length - 1 : 0];\n else\n rect = nullRect;\n } else {\n rect = range(node, start, end).getBoundingClientRect() || nullRect;\n }\n } else { // If it is a widget, simply get the box for the whole widget.\n if (start > 0) collapse = bias = \"right\";\n var rects;\n if (cm.options.lineWrapping && (rects = node.getClientRects()).length > 1)\n rect = rects[bias == \"right\" ? rects.length - 1 : 0];\n else\n rect = node.getBoundingClientRect();\n }\n if (ie_upto8 && !start && (!rect || !rect.left && !rect.right)) {\n var rSpan = node.parentNode.getClientRects()[0];\n if (rSpan)\n rect = {left: rSpan.left, right: rSpan.left + charWidth(cm.display), top: rSpan.top, bottom: rSpan.bottom};\n else\n rect = nullRect;\n }\n\n var top, bot = (rect.bottom + rect.top) / 2 - prepared.rect.top;\n var heights = prepared.view.measure.heights;\n for (var i = 0; i < heights.length - 1; i++)\n if (bot < heights[i]) break;\n top = i ? heights[i - 1] : 0; bot = heights[i];\n var result = {left: (collapse == \"right\" ? rect.right : rect.left) - prepared.rect.left,\n right: (collapse == \"left\" ? rect.left : rect.right) - prepared.rect.left,\n top: top, bottom: bot};\n if (!rect.left && !rect.right) result.bogus = true;\n return result;\n }\n\n function clearLineMeasurementCacheFor(lineView) {\n if (lineView.measure) {\n lineView.measure.cache = {};\n lineView.measure.heights = null;\n if (lineView.rest) for (var i = 0; i < lineView.rest.length; i++)\n lineView.measure.caches[i] = {};\n }\n }\n\n function clearLineMeasurementCache(cm) {\n cm.display.externalMeasure = null;\n removeChildren(cm.display.lineMeasure);\n for (var i = 0; i < cm.display.view.length; i++)\n clearLineMeasurementCacheFor(cm.display.view[i]);\n }\n\n function clearCaches(cm) {\n clearLineMeasurementCache(cm);\n cm.display.cachedCharWidth = cm.display.cachedTextHeight = cm.display.cachedPaddingH = null;\n if (!cm.options.lineWrapping) cm.display.maxLineChanged = true;\n cm.display.lineNumChars = null;\n }\n\n function pageScrollX() { return window.pageXOffset || (document.documentElement || document.body).scrollLeft; }\n function pageScrollY() { return window.pageYOffset || (document.documentElement || document.body).scrollTop; }\n\n // Converts a {top, bottom, left, right} box from line-local\n // coordinates into another coordinate system. Context may be one of\n // \"line\", \"div\" (display.lineDiv), \"local\"/null (editor), or \"page\".\n function intoCoordSystem(cm, lineObj, rect, context) {\n if (lineObj.widgets) for (var i = 0; i < lineObj.widgets.length; ++i) if (lineObj.widgets[i].above) {\n var size = widgetHeight(lineObj.widgets[i]);\n rect.top += size; rect.bottom += size;\n }\n if (context == \"line\") return rect;\n if (!context) context = \"local\";\n var yOff = heightAtLine(lineObj);\n if (context == \"local\") yOff += paddingTop(cm.display);\n else yOff -= cm.display.viewOffset;\n if (context == \"page\" || context == \"window\") {\n var lOff = cm.display.lineSpace.getBoundingClientRect();\n yOff += lOff.top + (context == \"window\" ? 0 : pageScrollY());\n var xOff = lOff.left + (context == \"window\" ? 0 : pageScrollX());\n rect.left += xOff; rect.right += xOff;\n }\n rect.top += yOff; rect.bottom += yOff;\n return rect;\n }\n\n // Coverts a box from \"div\" coords to another coordinate system.\n // Context may be \"window\", \"page\", \"div\", or \"local\"/null.\n function fromCoordSystem(cm, coords, context) {\n if (context == \"div\") return coords;\n var left = coords.left, top = coords.top;\n // First move into \"page\" coordinate system\n if (context == \"page\") {\n left -= pageScrollX();\n top -= pageScrollY();\n } else if (context == \"local\" || !context) {\n var localBox = cm.display.sizer.getBoundingClientRect();\n left += localBox.left;\n top += localBox.top;\n }\n\n var lineSpaceBox = cm.display.lineSpace.getBoundingClientRect();\n return {left: left - lineSpaceBox.left, top: top - lineSpaceBox.top};\n }\n\n function charCoords(cm, pos, context, lineObj, bias) {\n if (!lineObj) lineObj = getLine(cm.doc, pos.line);\n return intoCoordSystem(cm, lineObj, measureChar(cm, lineObj, pos.ch, bias), context);\n }\n\n // Returns a box for a given cursor position, which may have an\n // 'other' property containing the position of the secondary cursor\n // on a bidi boundary.\n function cursorCoords(cm, pos, context, lineObj, preparedMeasure) {\n lineObj = lineObj || getLine(cm.doc, pos.line);\n if (!preparedMeasure) preparedMeasure = prepareMeasureForLine(cm, lineObj);\n function get(ch, right) {\n var m = measureCharPrepared(cm, preparedMeasure, ch, right ? \"right\" : \"left\");\n if (right) m.left = m.right; else m.right = m.left;\n return intoCoordSystem(cm, lineObj, m, context);\n }\n function getBidi(ch, partPos) {\n var part = order[partPos], right = part.level % 2;\n if (ch == bidiLeft(part) && partPos && part.level < order[partPos - 1].level) {\n part = order[--partPos];\n ch = bidiRight(part) - (part.level % 2 ? 0 : 1);\n right = true;\n } else if (ch == bidiRight(part) && partPos < order.length - 1 && part.level < order[partPos + 1].level) {\n part = order[++partPos];\n ch = bidiLeft(part) - part.level % 2;\n right = false;\n }\n if (right && ch == part.to && ch > part.from) return get(ch - 1);\n return get(ch, right);\n }\n var order = getOrder(lineObj), ch = pos.ch;\n if (!order) return get(ch);\n var partPos = getBidiPartAt(order, ch);\n var val = getBidi(ch, partPos);\n if (bidiOther != null) val.other = getBidi(ch, bidiOther);\n return val;\n }\n\n // Used to cheaply estimate the coordinates for a position. Used for\n // intermediate scroll updates.\n function estimateCoords(cm, pos) {\n var left = 0, pos = clipPos(cm.doc, pos);\n if (!cm.options.lineWrapping) left = charWidth(cm.display) * pos.ch;\n var lineObj = getLine(cm.doc, pos.line);\n var top = heightAtLine(lineObj) + paddingTop(cm.display);\n return {left: left, right: left, top: top, bottom: top + lineObj.height};\n }\n\n // Positions returned by coordsChar contain some extra information.\n // xRel is the relative x position of the input coordinates compared\n // to the found position (so xRel > 0 means the coordinates are to\n // the right of the character position, for example). When outside\n // is true, that means the coordinates lie outside the line's\n // vertical range.\n function PosWithInfo(line, ch, outside, xRel) {\n var pos = Pos(line, ch);\n pos.xRel = xRel;\n if (outside) pos.outside = true;\n return pos;\n }\n\n // Compute the character position closest to the given coordinates.\n // Input must be lineSpace-local (\"div\" coordinate system).\n function coordsChar(cm, x, y) {\n var doc = cm.doc;\n y += cm.display.viewOffset;\n if (y < 0) return PosWithInfo(doc.first, 0, true, -1);\n var lineN = lineAtHeight(doc, y), last = doc.first + doc.size - 1;\n if (lineN > last)\n return PosWithInfo(doc.first + doc.size - 1, getLine(doc, last).text.length, true, 1);\n if (x < 0) x = 0;\n\n var lineObj = getLine(doc, lineN);\n for (;;) {\n var found = coordsCharInner(cm, lineObj, lineN, x, y);\n var merged = collapsedSpanAtEnd(lineObj);\n var mergedPos = merged && merged.find(0, true);\n if (merged && (found.ch > mergedPos.from.ch || found.ch == mergedPos.from.ch && found.xRel > 0))\n lineN = lineNo(lineObj = mergedPos.to.line);\n else\n return found;\n }\n }\n\n function coordsCharInner(cm, lineObj, lineNo, x, y) {\n var innerOff = y - heightAtLine(lineObj);\n var wrongLine = false, adjust = 2 * cm.display.wrapper.clientWidth;\n var preparedMeasure = prepareMeasureForLine(cm, lineObj);\n\n function getX(ch) {\n var sp = cursorCoords(cm, Pos(lineNo, ch), \"line\", lineObj, preparedMeasure);\n wrongLine = true;\n if (innerOff > sp.bottom) return sp.left - adjust;\n else if (innerOff < sp.top) return sp.left + adjust;\n else wrongLine = false;\n return sp.left;\n }\n\n var bidi = getOrder(lineObj), dist = lineObj.text.length;\n var from = lineLeft(lineObj), to = lineRight(lineObj);\n var fromX = getX(from), fromOutside = wrongLine, toX = getX(to), toOutside = wrongLine;\n\n if (x > toX) return PosWithInfo(lineNo, to, toOutside, 1);\n // Do a binary search between these bounds.\n for (;;) {\n if (bidi ? to == from || to == moveVisually(lineObj, from, 1) : to - from <= 1) {\n var ch = x < fromX || x - fromX <= toX - x ? from : to;\n var xDiff = x - (ch == from ? fromX : toX);\n while (isExtendingChar(lineObj.text.charAt(ch))) ++ch;\n var pos = PosWithInfo(lineNo, ch, ch == from ? fromOutside : toOutside,\n xDiff < -1 ? -1 : xDiff > 1 ? 1 : 0);\n return pos;\n }\n var step = Math.ceil(dist / 2), middle = from + step;\n if (bidi) {\n middle = from;\n for (var i = 0; i < step; ++i) middle = moveVisually(lineObj, middle, 1);\n }\n var middleX = getX(middle);\n if (middleX > x) {to = middle; toX = middleX; if (toOutside = wrongLine) toX += 1000; dist = step;}\n else {from = middle; fromX = middleX; fromOutside = wrongLine; dist -= step;}\n }\n }\n\n var measureText;\n // Compute the default text height.\n function textHeight(display) {\n if (display.cachedTextHeight != null) return display.cachedTextHeight;\n if (measureText == null) {\n measureText = elt(\"pre\");\n // Measure a bunch of lines, for browsers that compute\n // fractional heights.\n for (var i = 0; i < 49; ++i) {\n measureText.appendChild(document.createTextNode(\"x\"));\n measureText.appendChild(elt(\"br\"));\n }\n measureText.appendChild(document.createTextNode(\"x\"));\n }\n removeChildrenAndAdd(display.measure, measureText);\n var height = measureText.offsetHeight / 50;\n if (height > 3) display.cachedTextHeight = height;\n removeChildren(display.measure);\n return height || 1;\n }\n\n // Compute the default character width.\n function charWidth(display) {\n if (display.cachedCharWidth != null) return display.cachedCharWidth;\n var anchor = elt(\"span\", \"xxxxxxxxxx\");\n var pre = elt(\"pre\", [anchor]);\n removeChildrenAndAdd(display.measure, pre);\n var rect = anchor.getBoundingClientRect(), width = (rect.right - rect.left) / 10;\n if (width > 2) display.cachedCharWidth = width;\n return width || 10;\n }\n\n // OPERATIONS\n\n // Operations are used to wrap a series of changes to the editor\n // state in such a way that each change won't have to update the\n // cursor and display (which would be awkward, slow, and\n // error-prone). Instead, display updates are batched and then all\n // combined and executed at once.\n\n var nextOpId = 0;\n // Start a new operation.\n function startOperation(cm) {\n cm.curOp = {\n viewChanged: false, // Flag that indicates that lines might need to be redrawn\n startHeight: cm.doc.height, // Used to detect need to update scrollbar\n forceUpdate: false, // Used to force a redraw\n updateInput: null, // Whether to reset the input textarea\n typing: false, // Whether this reset should be careful to leave existing text (for compositing)\n changeObjs: null, // Accumulated changes, for firing change events\n cursorActivityHandlers: null, // Set of handlers to fire cursorActivity on\n selectionChanged: false, // Whether the selection needs to be redrawn\n updateMaxLine: false, // Set when the widest line needs to be determined anew\n scrollLeft: null, scrollTop: null, // Intermediate scroll position, not pushed to DOM yet\n scrollToPos: null, // Used to scroll to a specific position\n id: ++nextOpId // Unique ID\n };\n if (!delayedCallbackDepth++) delayedCallbacks = [];\n }\n\n // Finish an operation, updating the display and signalling delayed events\n function endOperation(cm) {\n var op = cm.curOp, doc = cm.doc, display = cm.display;\n cm.curOp = null;\n\n if (op.updateMaxLine) findMaxLine(cm);\n\n // If it looks like an update might be needed, call updateDisplay\n if (op.viewChanged || op.forceUpdate || op.scrollTop != null ||\n op.scrollToPos && (op.scrollToPos.from.line < display.viewFrom ||\n op.scrollToPos.to.line >= display.viewTo) ||\n display.maxLineChanged && cm.options.lineWrapping) {\n var updated = updateDisplay(cm, {top: op.scrollTop, ensure: op.scrollToPos}, op.forceUpdate);\n if (cm.display.scroller.offsetHeight) cm.doc.scrollTop = cm.display.scroller.scrollTop;\n }\n // If no update was run, but the selection changed, redraw that.\n if (!updated && op.selectionChanged) updateSelection(cm);\n if (!updated && op.startHeight != cm.doc.height) updateScrollbars(cm);\n\n // Propagate the scroll position to the actual DOM scroller\n if (op.scrollTop != null && display.scroller.scrollTop != op.scrollTop) {\n var top = Math.max(0, Math.min(display.scroller.scrollHeight - display.scroller.clientHeight, op.scrollTop));\n display.scroller.scrollTop = display.scrollbarV.scrollTop = doc.scrollTop = top;\n }\n if (op.scrollLeft != null && display.scroller.scrollLeft != op.scrollLeft) {\n var left = Math.max(0, Math.min(display.scroller.scrollWidth - display.scroller.clientWidth, op.scrollLeft));\n display.scroller.scrollLeft = display.scrollbarH.scrollLeft = doc.scrollLeft = left;\n alignHorizontally(cm);\n }\n // If we need to scroll a specific position into view, do so.\n if (op.scrollToPos) {\n var coords = scrollPosIntoView(cm, clipPos(cm.doc, op.scrollToPos.from),\n clipPos(cm.doc, op.scrollToPos.to), op.scrollToPos.margin);\n if (op.scrollToPos.isCursor && cm.state.focused) maybeScrollWindow(cm, coords);\n }\n\n if (op.selectionChanged) restartBlink(cm);\n\n if (cm.state.focused && op.updateInput)\n resetInput(cm, op.typing);\n\n // Fire events for markers that are hidden/unidden by editing or\n // undoing\n var hidden = op.maybeHiddenMarkers, unhidden = op.maybeUnhiddenMarkers;\n if (hidden) for (var i = 0; i < hidden.length; ++i)\n if (!hidden[i].lines.length) signal(hidden[i], \"hide\");\n if (unhidden) for (var i = 0; i < unhidden.length; ++i)\n if (unhidden[i].lines.length) signal(unhidden[i], \"unhide\");\n\n var delayed;\n if (!--delayedCallbackDepth) {\n delayed = delayedCallbacks;\n delayedCallbacks = null;\n }\n // Fire change events, and delayed event handlers\n if (op.changeObjs)\n signal(cm, \"changes\", cm, op.changeObjs);\n if (delayed) for (var i = 0; i < delayed.length; ++i) delayed[i]();\n if (op.cursorActivityHandlers)\n for (var i = 0; i < op.cursorActivityHandlers.length; i++)\n op.cursorActivityHandlers[i](cm);\n }\n\n // Run the given function in an operation\n function runInOp(cm, f) {\n if (cm.curOp) return f();\n startOperation(cm);\n try { return f(); }\n finally { endOperation(cm); }\n }\n // Wraps a function in an operation. Returns the wrapped function.\n function operation(cm, f) {\n return function() {\n if (cm.curOp) return f.apply(cm, arguments);\n startOperation(cm);\n try { return f.apply(cm, arguments); }\n finally { endOperation(cm); }\n };\n }\n // Used to add methods to editor and doc instances, wrapping them in\n // operations.\n function methodOp(f) {\n return function() {\n if (this.curOp) return f.apply(this, arguments);\n startOperation(this);\n try { return f.apply(this, arguments); }\n finally { endOperation(this); }\n };\n }\n function docMethodOp(f) {\n return function() {\n var cm = this.cm;\n if (!cm || cm.curOp) return f.apply(this, arguments);\n startOperation(cm);\n try { return f.apply(this, arguments); }\n finally { endOperation(cm); }\n };\n }\n\n // VIEW TRACKING\n\n // These objects are used to represent the visible (currently drawn)\n // part of the document. A LineView may correspond to multiple\n // logical lines, if those are connected by collapsed ranges.\n function LineView(doc, line, lineN) {\n // The starting line\n this.line = line;\n // Continuing lines, if any\n this.rest = visualLineContinued(line);\n // Number of logical lines in this visual line\n this.size = this.rest ? lineNo(lst(this.rest)) - lineN + 1 : 1;\n this.node = this.text = null;\n this.hidden = lineIsHidden(doc, line);\n }\n\n // Create a range of LineView objects for the given lines.\n function buildViewArray(cm, from, to) {\n var array = [], nextPos;\n for (var pos = from; pos < to; pos = nextPos) {\n var view = new LineView(cm.doc, getLine(cm.doc, pos), pos);\n nextPos = pos + view.size;\n array.push(view);\n }\n return array;\n }\n\n // Updates the display.view data structure for a given change to the\n // document. From and to are in pre-change coordinates. Lendiff is\n // the amount of lines added or subtracted by the change. This is\n // used for changes that span multiple lines, or change the way\n // lines are divided into visual lines. regLineChange (below)\n // registers single-line changes.\n function regChange(cm, from, to, lendiff) {\n if (from == null) from = cm.doc.first;\n if (to == null) to = cm.doc.first + cm.doc.size;\n if (!lendiff) lendiff = 0;\n\n var display = cm.display;\n if (lendiff && to < display.viewTo &&\n (display.updateLineNumbers == null || display.updateLineNumbers > from))\n display.updateLineNumbers = from;\n\n cm.curOp.viewChanged = true;\n\n if (from >= display.viewTo) { // Change after\n if (sawCollapsedSpans && visualLineNo(cm.doc, from) < display.viewTo)\n resetView(cm);\n } else if (to <= display.viewFrom) { // Change before\n if (sawCollapsedSpans && visualLineEndNo(cm.doc, to + lendiff) > display.viewFrom) {\n resetView(cm);\n } else {\n display.viewFrom += lendiff;\n display.viewTo += lendiff;\n }\n } else if (from <= display.viewFrom && to >= display.viewTo) { // Full overlap\n resetView(cm);\n } else if (from <= display.viewFrom) { // Top overlap\n var cut = viewCuttingPoint(cm, to, to + lendiff, 1);\n if (cut) {\n display.view = display.view.slice(cut.index);\n display.viewFrom = cut.lineN;\n display.viewTo += lendiff;\n } else {\n resetView(cm);\n }\n } else if (to >= display.viewTo) { // Bottom overlap\n var cut = viewCuttingPoint(cm, from, from, -1);\n if (cut) {\n display.view = display.view.slice(0, cut.index);\n display.viewTo = cut.lineN;\n } else {\n resetView(cm);\n }\n } else { // Gap in the middle\n var cutTop = viewCuttingPoint(cm, from, from, -1);\n var cutBot = viewCuttingPoint(cm, to, to + lendiff, 1);\n if (cutTop && cutBot) {\n display.view = display.view.slice(0, cutTop.index)\n .concat(buildViewArray(cm, cutTop.lineN, cutBot.lineN))\n .concat(display.view.slice(cutBot.index));\n display.viewTo += lendiff;\n } else {\n resetView(cm);\n }\n }\n\n var ext = display.externalMeasured;\n if (ext) {\n if (to < ext.lineN)\n ext.lineN += lendiff;\n else if (from < ext.lineN + ext.size)\n display.externalMeasured = null;\n }\n }\n\n // Register a change to a single line. Type must be one of \"text\",\n // \"gutter\", \"class\", \"widget\"\n function regLineChange(cm, line, type) {\n cm.curOp.viewChanged = true;\n var display = cm.display, ext = cm.display.externalMeasured;\n if (ext && line >= ext.lineN && line < ext.lineN + ext.size)\n display.externalMeasured = null;\n\n if (line < display.viewFrom || line >= display.viewTo) return;\n var lineView = display.view[findViewIndex(cm, line)];\n if (lineView.node == null) return;\n var arr = lineView.changes || (lineView.changes = []);\n if (indexOf(arr, type) == -1) arr.push(type);\n }\n\n // Clear the view.\n function resetView(cm) {\n cm.display.viewFrom = cm.display.viewTo = cm.doc.first;\n cm.display.view = [];\n cm.display.viewOffset = 0;\n }\n\n // Find the view element corresponding to a given line. Return null\n // when the line isn't visible.\n function findViewIndex(cm, n) {\n if (n >= cm.display.viewTo) return null;\n n -= cm.display.viewFrom;\n if (n < 0) return null;\n var view = cm.display.view;\n for (var i = 0; i < view.length; i++) {\n n -= view[i].size;\n if (n < 0) return i;\n }\n }\n\n function viewCuttingPoint(cm, oldN, newN, dir) {\n var index = findViewIndex(cm, oldN), diff, view = cm.display.view;\n if (!sawCollapsedSpans || newN == cm.doc.first + cm.doc.size)\n return {index: index, lineN: newN};\n for (var i = 0, n = cm.display.viewFrom; i < index; i++)\n n += view[i].size;\n if (n != oldN) {\n if (dir > 0) {\n if (index == view.length - 1) return null;\n diff = (n + view[index].size) - oldN;\n index++;\n } else {\n diff = n - oldN;\n }\n oldN += diff; newN += diff;\n }\n while (visualLineNo(cm.doc, newN) != newN) {\n if (index == (dir < 0 ? 0 : view.length - 1)) return null;\n newN += dir * view[index - (dir < 0 ? 1 : 0)].size;\n index += dir;\n }\n return {index: index, lineN: newN};\n }\n\n // Force the view to cover a given range, adding empty view element\n // or clipping off existing ones as needed.\n function adjustView(cm, from, to) {\n var display = cm.display, view = display.view;\n if (view.length == 0 || from >= display.viewTo || to <= display.viewFrom) {\n display.view = buildViewArray(cm, from, to);\n display.viewFrom = from;\n } else {\n if (display.viewFrom > from)\n display.view = buildViewArray(cm, from, display.viewFrom).concat(display.view);\n else if (display.viewFrom < from)\n display.view = display.view.slice(findViewIndex(cm, from));\n display.viewFrom = from;\n if (display.viewTo < to)\n display.view = display.view.concat(buildViewArray(cm, display.viewTo, to));\n else if (display.viewTo > to)\n display.view = display.view.slice(0, findViewIndex(cm, to));\n }\n display.viewTo = to;\n }\n\n // Count the number of lines in the view whose DOM representation is\n // out of date (or nonexistent).\n function countDirtyView(cm) {\n var view = cm.display.view, dirty = 0;\n for (var i = 0; i < view.length; i++) {\n var lineView = view[i];\n if (!lineView.hidden && (!lineView.node || lineView.changes)) ++dirty;\n }\n return dirty;\n }\n\n // INPUT HANDLING\n\n // Poll for input changes, using the normal rate of polling. This\n // runs as long as the editor is focused.\n function slowPoll(cm) {\n if (cm.display.pollingFast) return;\n cm.display.poll.set(cm.options.pollInterval, function() {\n readInput(cm);\n if (cm.state.focused) slowPoll(cm);\n });\n }\n\n // When an event has just come in that is likely to add or change\n // something in the input textarea, we poll faster, to ensure that\n // the change appears on the screen quickly.\n function fastPoll(cm) {\n var missed = false;\n cm.display.pollingFast = true;\n function p() {\n var changed = readInput(cm);\n if (!changed && !missed) {missed = true; cm.display.poll.set(60, p);}\n else {cm.display.pollingFast = false; slowPoll(cm);}\n }\n cm.display.poll.set(20, p);\n }\n\n // Read input from the textarea, and update the document to match.\n // When something is selected, it is present in the textarea, and\n // selected (unless it is huge, in which case a placeholder is\n // used). When nothing is selected, the cursor sits after previously\n // seen text (can be empty), which is stored in prevInput (we must\n // not reset the textarea when typing, because that breaks IME).\n function readInput(cm) {\n var input = cm.display.input, prevInput = cm.display.prevInput, doc = cm.doc;\n // Since this is called a *lot*, try to bail out as cheaply as\n // possible when it is clear that nothing happened. hasSelection\n // will be the case when there is a lot of text in the textarea,\n // in which case reading its value would be expensive.\n if (!cm.state.focused || (hasSelection(input) && !prevInput) || isReadOnly(cm) || cm.options.disableInput)\n return false;\n // See paste handler for more on the fakedLastChar kludge\n if (cm.state.pasteIncoming && cm.state.fakedLastChar) {\n input.value = input.value.substring(0, input.value.length - 1);\n cm.state.fakedLastChar = false;\n }\n var text = input.value;\n // If nothing changed, bail.\n if (text == prevInput && !cm.somethingSelected()) return false;\n // Work around nonsensical selection resetting in IE9/10\n if (ie && !ie_upto8 && cm.display.inputHasSelection === text) {\n resetInput(cm);\n return false;\n }\n\n var withOp = !cm.curOp;\n if (withOp) startOperation(cm);\n cm.display.shift = false;\n\n if (text.charCodeAt(0) == 0x200b && doc.sel == cm.display.selForContextMenu && !prevInput)\n prevInput = \"\\u200b\";\n // Find the part of the input that is actually new\n var same = 0, l = Math.min(prevInput.length, text.length);\n while (same < l && prevInput.charCodeAt(same) == text.charCodeAt(same)) ++same;\n var inserted = text.slice(same), textLines = splitLines(inserted);\n\n // When pasing N lines into N selections, insert one line per selection\n var multiPaste = cm.state.pasteIncoming && textLines.length > 1 && doc.sel.ranges.length == textLines.length;\n\n // Normal behavior is to insert the new text into every selection\n for (var i = doc.sel.ranges.length - 1; i >= 0; i--) {\n var range = doc.sel.ranges[i];\n var from = range.from(), to = range.to();\n // Handle deletion\n if (same < prevInput.length)\n from = Pos(from.line, from.ch - (prevInput.length - same));\n // Handle overwrite\n else if (cm.state.overwrite && range.empty() && !cm.state.pasteIncoming)\n to = Pos(to.line, Math.min(getLine(doc, to.line).text.length, to.ch + lst(textLines).length));\n var updateInput = cm.curOp.updateInput;\n var changeEvent = {from: from, to: to, text: multiPaste ? [textLines[i]] : textLines,\n origin: cm.state.pasteIncoming ? \"paste\" : cm.state.cutIncoming ? \"cut\" : \"+input\"};\n makeChange(cm.doc, changeEvent);\n signalLater(cm, \"inputRead\", cm, changeEvent);\n // When an 'electric' character is inserted, immediately trigger a reindent\n if (inserted && !cm.state.pasteIncoming && cm.options.electricChars &&\n cm.options.smartIndent && range.head.ch < 100 &&\n (!i || doc.sel.ranges[i - 1].head.line != range.head.line)) {\n var mode = cm.getModeAt(range.head);\n if (mode.electricChars) {\n for (var j = 0; j < mode.electricChars.length; j++)\n if (inserted.indexOf(mode.electricChars.charAt(j)) > -1) {\n indentLine(cm, range.head.line, \"smart\");\n break;\n }\n } else if (mode.electricInput) {\n var end = changeEnd(changeEvent);\n if (mode.electricInput.test(getLine(doc, end.line).text.slice(0, end.ch)))\n indentLine(cm, range.head.line, \"smart\");\n }\n }\n }\n ensureCursorVisible(cm);\n cm.curOp.updateInput = updateInput;\n cm.curOp.typing = true;\n\n // Don't leave long text in the textarea, since it makes further polling slow\n if (text.length > 1000 || text.indexOf(\"\\n\") > -1) input.value = cm.display.prevInput = \"\";\n else cm.display.prevInput = text;\n if (withOp) endOperation(cm);\n cm.state.pasteIncoming = cm.state.cutIncoming = false;\n return true;\n }\n\n // Reset the input to correspond to the selection (or to be empty,\n // when not typing and nothing is selected)\n function resetInput(cm, typing) {\n var minimal, selected, doc = cm.doc;\n if (cm.somethingSelected()) {\n cm.display.prevInput = \"\";\n var range = doc.sel.primary();\n minimal = hasCopyEvent &&\n (range.to().line - range.from().line > 100 || (selected = cm.getSelection()).length > 1000);\n var content = minimal ? \"-\" : selected || cm.getSelection();\n cm.display.input.value = content;\n if (cm.state.focused) selectInput(cm.display.input);\n if (ie && !ie_upto8) cm.display.inputHasSelection = content;\n } else if (!typing) {\n cm.display.prevInput = cm.display.input.value = \"\";\n if (ie && !ie_upto8) cm.display.inputHasSelection = null;\n }\n cm.display.inaccurateSelection = minimal;\n }\n\n function focusInput(cm) {\n if (cm.options.readOnly != \"nocursor\" && (!mobile || activeElt() != cm.display.input))\n cm.display.input.focus();\n }\n\n function ensureFocus(cm) {\n if (!cm.state.focused) { focusInput(cm); onFocus(cm); }\n }\n\n function isReadOnly(cm) {\n return cm.options.readOnly || cm.doc.cantEdit;\n }\n\n // EVENT HANDLERS\n\n // Attach the necessary event handlers when initializing the editor\n function registerEventHandlers(cm) {\n var d = cm.display;\n on(d.scroller, \"mousedown\", operation(cm, onMouseDown));\n // Older IE's will not fire a second mousedown for a double click\n if (ie_upto10)\n on(d.scroller, \"dblclick\", operation(cm, function(e) {\n if (signalDOMEvent(cm, e)) return;\n var pos = posFromMouse(cm, e);\n if (!pos || clickInGutter(cm, e) || eventInWidget(cm.display, e)) return;\n e_preventDefault(e);\n var word = findWordAt(cm, pos);\n extendSelection(cm.doc, word.anchor, word.head);\n }));\n else\n on(d.scroller, \"dblclick\", function(e) { signalDOMEvent(cm, e) || e_preventDefault(e); });\n // Prevent normal selection in the editor (we handle our own)\n on(d.lineSpace, \"selectstart\", function(e) {\n if (!eventInWidget(d, e)) e_preventDefault(e);\n });\n // Some browsers fire contextmenu *after* opening the menu, at\n // which point we can't mess with it anymore. Context menu is\n // handled in onMouseDown for these browsers.\n if (!captureRightClick) on(d.scroller, \"contextmenu\", function(e) {onContextMenu(cm, e);});\n\n // Sync scrolling between fake scrollbars and real scrollable\n // area, ensure viewport is updated when scrolling.\n on(d.scroller, \"scroll\", function() {\n if (d.scroller.clientHeight) {\n setScrollTop(cm, d.scroller.scrollTop);\n setScrollLeft(cm, d.scroller.scrollLeft, true);\n signal(cm, \"scroll\", cm);\n }\n });\n on(d.scrollbarV, \"scroll\", function() {\n if (d.scroller.clientHeight) setScrollTop(cm, d.scrollbarV.scrollTop);\n });\n on(d.scrollbarH, \"scroll\", function() {\n if (d.scroller.clientHeight) setScrollLeft(cm, d.scrollbarH.scrollLeft);\n });\n\n // Listen to wheel events in order to try and update the viewport on time.\n on(d.scroller, \"mousewheel\", function(e){onScrollWheel(cm, e);});\n on(d.scroller, \"DOMMouseScroll\", function(e){onScrollWheel(cm, e);});\n\n // Prevent clicks in the scrollbars from killing focus\n function reFocus() { if (cm.state.focused) setTimeout(bind(focusInput, cm), 0); }\n on(d.scrollbarH, \"mousedown\", reFocus);\n on(d.scrollbarV, \"mousedown\", reFocus);\n // Prevent wrapper from ever scrolling\n on(d.wrapper, \"scroll\", function() { d.wrapper.scrollTop = d.wrapper.scrollLeft = 0; });\n\n on(d.input, \"keyup\", operation(cm, onKeyUp));\n on(d.input, \"input\", function() {\n if (ie && !ie_upto8 && cm.display.inputHasSelection) cm.display.inputHasSelection = null;\n fastPoll(cm);\n });\n on(d.input, \"keydown\", operation(cm, onKeyDown));\n on(d.input, \"keypress\", operation(cm, onKeyPress));\n on(d.input, \"focus\", bind(onFocus, cm));\n on(d.input, \"blur\", bind(onBlur, cm));\n\n function drag_(e) {\n if (!signalDOMEvent(cm, e)) e_stop(e);\n }\n if (cm.options.dragDrop) {\n on(d.scroller, \"dragstart\", function(e){onDragStart(cm, e);});\n on(d.scroller, \"dragenter\", drag_);\n on(d.scroller, \"dragover\", drag_);\n on(d.scroller, \"drop\", operation(cm, onDrop));\n }\n on(d.scroller, \"paste\", function(e) {\n if (eventInWidget(d, e)) return;\n cm.state.pasteIncoming = true;\n focusInput(cm);\n fastPoll(cm);\n });\n on(d.input, \"paste\", function() {\n // Workaround for webkit bug https://bugs.webkit.org/show_bug.cgi?id=90206\n // Add a char to the end of textarea before paste occur so that\n // selection doesn't span to the end of textarea.\n if (webkit && !cm.state.fakedLastChar && !(new Date - cm.state.lastMiddleDown < 200)) {\n var start = d.input.selectionStart, end = d.input.selectionEnd;\n d.input.value += \"$\";\n d.input.selectionStart = start;\n d.input.selectionEnd = end;\n cm.state.fakedLastChar = true;\n }\n cm.state.pasteIncoming = true;\n fastPoll(cm);\n });\n\n function prepareCopyCut(e) {\n if (cm.somethingSelected()) {\n if (d.inaccurateSelection) {\n d.prevInput = \"\";\n d.inaccurateSelection = false;\n d.input.value = cm.getSelection();\n selectInput(d.input);\n }\n } else {\n var text = \"\", ranges = [];\n for (var i = 0; i < cm.doc.sel.ranges.length; i++) {\n var line = cm.doc.sel.ranges[i].head.line;\n var lineRange = {anchor: Pos(line, 0), head: Pos(line + 1, 0)};\n ranges.push(lineRange);\n text += cm.getRange(lineRange.anchor, lineRange.head);\n }\n if (e.type == \"cut\") {\n cm.setSelections(ranges, null, sel_dontScroll);\n } else {\n d.prevInput = \"\";\n d.input.value = text;\n selectInput(d.input);\n }\n }\n if (e.type == \"cut\") cm.state.cutIncoming = true;\n }\n on(d.input, \"cut\", prepareCopyCut);\n on(d.input, \"copy\", prepareCopyCut);\n\n // Needed to handle Tab key in KHTML\n if (khtml) on(d.sizer, \"mouseup\", function() {\n if (activeElt() == d.input) d.input.blur();\n focusInput(cm);\n });\n }\n\n // Called when the window resizes\n function onResize(cm) {\n // Might be a text scaling operation, clear size caches.\n var d = cm.display;\n d.cachedCharWidth = d.cachedTextHeight = d.cachedPaddingH = null;\n cm.setSize();\n }\n\n // MOUSE EVENTS\n\n // Return true when the given mouse event happened in a widget\n function eventInWidget(display, e) {\n for (var n = e_target(e); n != display.wrapper; n = n.parentNode) {\n if (!n || n.ignoreEvents || n.parentNode == display.sizer && n != display.mover) return true;\n }\n }\n\n // Given a mouse event, find the corresponding position. If liberal\n // is false, it checks whether a gutter or scrollbar was clicked,\n // and returns null if it was. forRect is used by rectangular\n // selections, and tries to estimate a character position even for\n // coordinates beyond the right of the text.\n function posFromMouse(cm, e, liberal, forRect) {\n var display = cm.display;\n if (!liberal) {\n var target = e_target(e);\n if (target == display.scrollbarH || target == display.scrollbarV ||\n target == display.scrollbarFiller || target == display.gutterFiller) return null;\n }\n var x, y, space = display.lineSpace.getBoundingClientRect();\n // Fails unpredictably on IE[67] when mouse is dragged around quickly.\n try { x = e.clientX - space.left; y = e.clientY - space.top; }\n catch (e) { return null; }\n var coords = coordsChar(cm, x, y), line;\n if (forRect && coords.xRel == 1 && (line = getLine(cm.doc, coords.line).text).length == coords.ch) {\n var colDiff = countColumn(line, line.length, cm.options.tabSize) - line.length;\n coords = Pos(coords.line, Math.max(0, Math.round((x - paddingH(cm.display).left) / charWidth(cm.display)) - colDiff));\n }\n return coords;\n }\n\n // A mouse down can be a single click, double click, triple click,\n // start of selection drag, start of text drag, new cursor\n // (ctrl-click), rectangle drag (alt-drag), or xwin\n // middle-click-paste. Or it might be a click on something we should\n // not interfere with, such as a scrollbar or widget.\n function onMouseDown(e) {\n if (signalDOMEvent(this, e)) return;\n var cm = this, display = cm.display;\n display.shift = e.shiftKey;\n\n if (eventInWidget(display, e)) {\n if (!webkit) {\n // Briefly turn off draggability, to allow widgets to do\n // normal dragging things.\n display.scroller.draggable = false;\n setTimeout(function(){display.scroller.draggable = true;}, 100);\n }\n return;\n }\n if (clickInGutter(cm, e)) return;\n var start = posFromMouse(cm, e);\n window.focus();\n\n switch (e_button(e)) {\n case 1:\n if (start)\n leftButtonDown(cm, e, start);\n else if (e_target(e) == display.scroller)\n e_preventDefault(e);\n break;\n case 2:\n if (webkit) cm.state.lastMiddleDown = +new Date;\n if (start) extendSelection(cm.doc, start);\n setTimeout(bind(focusInput, cm), 20);\n e_preventDefault(e);\n break;\n case 3:\n if (captureRightClick) onContextMenu(cm, e);\n break;\n }\n }\n\n var lastClick, lastDoubleClick;\n function leftButtonDown(cm, e, start) {\n setTimeout(bind(ensureFocus, cm), 0);\n\n var now = +new Date, type;\n if (lastDoubleClick && lastDoubleClick.time > now - 400 && cmp(lastDoubleClick.pos, start) == 0) {\n type = \"triple\";\n } else if (lastClick && lastClick.time > now - 400 && cmp(lastClick.pos, start) == 0) {\n type = \"double\";\n lastDoubleClick = {time: now, pos: start};\n } else {\n type = \"single\";\n lastClick = {time: now, pos: start};\n }\n\n var sel = cm.doc.sel, addNew = mac ? e.metaKey : e.ctrlKey;\n if (cm.options.dragDrop && dragAndDrop && !addNew && !isReadOnly(cm) &&\n type == \"single\" && sel.contains(start) > -1 && sel.somethingSelected())\n leftButtonStartDrag(cm, e, start);\n else\n leftButtonSelect(cm, e, start, type, addNew);\n }\n\n // Start a text drag. When it ends, see if any dragging actually\n // happen, and treat as a click if it didn't.\n function leftButtonStartDrag(cm, e, start) {\n var display = cm.display;\n var dragEnd = operation(cm, function(e2) {\n if (webkit) display.scroller.draggable = false;\n cm.state.draggingText = false;\n off(document, \"mouseup\", dragEnd);\n off(display.scroller, \"drop\", dragEnd);\n if (Math.abs(e.clientX - e2.clientX) + Math.abs(e.clientY - e2.clientY) < 10) {\n e_preventDefault(e2);\n extendSelection(cm.doc, start);\n focusInput(cm);\n // Work around unexplainable focus problem in IE9 (#2127)\n if (ie_upto10 && !ie_upto8)\n setTimeout(function() {document.body.focus(); focusInput(cm);}, 20);\n }\n });\n // Let the drag handler handle this.\n if (webkit) display.scroller.draggable = true;\n cm.state.draggingText = dragEnd;\n // IE's approach to draggable\n if (display.scroller.dragDrop) display.scroller.dragDrop();\n on(document, \"mouseup\", dragEnd);\n on(display.scroller, \"drop\", dragEnd);\n }\n\n // Normal selection, as opposed to text dragging.\n function leftButtonSelect(cm, e, start, type, addNew) {\n var display = cm.display, doc = cm.doc;\n e_preventDefault(e);\n\n var ourRange, ourIndex, startSel = doc.sel;\n if (addNew && !e.shiftKey) {\n ourIndex = doc.sel.contains(start);\n if (ourIndex > -1)\n ourRange = doc.sel.ranges[ourIndex];\n else\n ourRange = new Range(start, start);\n } else {\n ourRange = doc.sel.primary();\n }\n\n if (e.altKey) {\n type = \"rect\";\n if (!addNew) ourRange = new Range(start, start);\n start = posFromMouse(cm, e, true, true);\n ourIndex = -1;\n } else if (type == \"double\") {\n var word = findWordAt(cm, start);\n if (cm.display.shift || doc.extend)\n ourRange = extendRange(doc, ourRange, word.anchor, word.head);\n else\n ourRange = word;\n } else if (type == \"triple\") {\n var line = new Range(Pos(start.line, 0), clipPos(doc, Pos(start.line + 1, 0)));\n if (cm.display.shift || doc.extend)\n ourRange = extendRange(doc, ourRange, line.anchor, line.head);\n else\n ourRange = line;\n } else {\n ourRange = extendRange(doc, ourRange, start);\n }\n\n if (!addNew) {\n ourIndex = 0;\n setSelection(doc, new Selection([ourRange], 0), sel_mouse);\n startSel = doc.sel;\n } else if (ourIndex > -1) {\n replaceOneSelection(doc, ourIndex, ourRange, sel_mouse);\n } else {\n ourIndex = doc.sel.ranges.length;\n setSelection(doc, normalizeSelection(doc.sel.ranges.concat([ourRange]), ourIndex),\n {scroll: false, origin: \"*mouse\"});\n }\n\n var lastPos = start;\n function extendTo(pos) {\n if (cmp(lastPos, pos) == 0) return;\n lastPos = pos;\n\n if (type == \"rect\") {\n var ranges = [], tabSize = cm.options.tabSize;\n var startCol = countColumn(getLine(doc, start.line).text, start.ch, tabSize);\n var posCol = countColumn(getLine(doc, pos.line).text, pos.ch, tabSize);\n var left = Math.min(startCol, posCol), right = Math.max(startCol, posCol);\n for (var line = Math.min(start.line, pos.line), end = Math.min(cm.lastLine(), Math.max(start.line, pos.line));\n line <= end; line++) {\n var text = getLine(doc, line).text, leftPos = findColumn(text, left, tabSize);\n if (left == right)\n ranges.push(new Range(Pos(line, leftPos), Pos(line, leftPos)));\n else if (text.length > leftPos)\n ranges.push(new Range(Pos(line, leftPos), Pos(line, findColumn(text, right, tabSize))));\n }\n if (!ranges.length) ranges.push(new Range(start, start));\n setSelection(doc, normalizeSelection(startSel.ranges.slice(0, ourIndex).concat(ranges), ourIndex),\n {origin: \"*mouse\", scroll: false});\n cm.scrollIntoView(pos);\n } else {\n var oldRange = ourRange;\n var anchor = oldRange.anchor, head = pos;\n if (type != \"single\") {\n if (type == \"double\")\n var range = findWordAt(cm, pos);\n else\n var range = new Range(Pos(pos.line, 0), clipPos(doc, Pos(pos.line + 1, 0)));\n if (cmp(range.anchor, anchor) > 0) {\n head = range.head;\n anchor = minPos(oldRange.from(), range.anchor);\n } else {\n head = range.anchor;\n anchor = maxPos(oldRange.to(), range.head);\n }\n }\n var ranges = startSel.ranges.slice(0);\n ranges[ourIndex] = new Range(clipPos(doc, anchor), head);\n setSelection(doc, normalizeSelection(ranges, ourIndex), sel_mouse);\n }\n }\n\n var editorSize = display.wrapper.getBoundingClientRect();\n // Used to ensure timeout re-tries don't fire when another extend\n // happened in the meantime (clearTimeout isn't reliable -- at\n // least on Chrome, the timeouts still happen even when cleared,\n // if the clear happens after their scheduled firing time).\n var counter = 0;\n\n function extend(e) {\n var curCount = ++counter;\n var cur = posFromMouse(cm, e, true, type == \"rect\");\n if (!cur) return;\n if (cmp(cur, lastPos) != 0) {\n ensureFocus(cm);\n extendTo(cur);\n var visible = visibleLines(display, doc);\n if (cur.line >= visible.to || cur.line < visible.from)\n setTimeout(operation(cm, function(){if (counter == curCount) extend(e);}), 150);\n } else {\n var outside = e.clientY < editorSize.top ? -20 : e.clientY > editorSize.bottom ? 20 : 0;\n if (outside) setTimeout(operation(cm, function() {\n if (counter != curCount) return;\n display.scroller.scrollTop += outside;\n extend(e);\n }), 50);\n }\n }\n\n function done(e) {\n counter = Infinity;\n e_preventDefault(e);\n focusInput(cm);\n off(document, \"mousemove\", move);\n off(document, \"mouseup\", up);\n doc.history.lastSelOrigin = null;\n }\n\n var move = operation(cm, function(e) {\n if ((ie && !ie_upto9) ? !e.buttons : !e_button(e)) done(e);\n else extend(e);\n });\n var up = operation(cm, done);\n on(document, \"mousemove\", move);\n on(document, \"mouseup\", up);\n }\n\n // Determines whether an event happened in the gutter, and fires the\n // handlers for the corresponding event.\n function gutterEvent(cm, e, type, prevent, signalfn) {\n try { var mX = e.clientX, mY = e.clientY; }\n catch(e) { return false; }\n if (mX >= Math.floor(cm.display.gutters.getBoundingClientRect().right)) return false;\n if (prevent) e_preventDefault(e);\n\n var display = cm.display;\n var lineBox = display.lineDiv.getBoundingClientRect();\n\n if (mY > lineBox.bottom || !hasHandler(cm, type)) return e_defaultPrevented(e);\n mY -= lineBox.top - display.viewOffset;\n\n for (var i = 0; i < cm.options.gutters.length; ++i) {\n var g = display.gutters.childNodes[i];\n if (g && g.getBoundingClientRect().right >= mX) {\n var line = lineAtHeight(cm.doc, mY);\n var gutter = cm.options.gutters[i];\n signalfn(cm, type, cm, line, gutter, e);\n return e_defaultPrevented(e);\n }\n }\n }\n\n function clickInGutter(cm, e) {\n return gutterEvent(cm, e, \"gutterClick\", true, signalLater);\n }\n\n // Kludge to work around strange IE behavior where it'll sometimes\n // re-fire a series of drag-related events right after the drop (#1551)\n var lastDrop = 0;\n\n function onDrop(e) {\n var cm = this;\n if (signalDOMEvent(cm, e) || eventInWidget(cm.display, e))\n return;\n e_preventDefault(e);\n if (ie) lastDrop = +new Date;\n var pos = posFromMouse(cm, e, true), files = e.dataTransfer.files;\n if (!pos || isReadOnly(cm)) return;\n // Might be a file drop, in which case we simply extract the text\n // and insert it.\n if (files && files.length && window.FileReader && window.File) {\n var n = files.length, text = Array(n), read = 0;\n var loadFile = function(file, i) {\n var reader = new FileReader;\n reader.onload = operation(cm, function() {\n text[i] = reader.result;\n if (++read == n) {\n pos = clipPos(cm.doc, pos);\n var change = {from: pos, to: pos, text: splitLines(text.join(\"\\n\")), origin: \"paste\"};\n makeChange(cm.doc, change);\n setSelectionReplaceHistory(cm.doc, simpleSelection(pos, changeEnd(change)));\n }\n });\n reader.readAsText(file);\n };\n for (var i = 0; i < n; ++i) loadFile(files[i], i);\n } else { // Normal drop\n // Don't do a replace if the drop happened inside of the selected text.\n if (cm.state.draggingText && cm.doc.sel.contains(pos) > -1) {\n cm.state.draggingText(e);\n // Ensure the editor is re-focused\n setTimeout(bind(focusInput, cm), 20);\n return;\n }\n try {\n var text = e.dataTransfer.getData(\"Text\");\n if (text) {\n var selected = cm.state.draggingText && cm.listSelections();\n setSelectionNoUndo(cm.doc, simpleSelection(pos, pos));\n if (selected) for (var i = 0; i < selected.length; ++i)\n replaceRange(cm.doc, \"\", selected[i].anchor, selected[i].head, \"drag\");\n cm.replaceSelection(text, \"around\", \"paste\");\n focusInput(cm);\n }\n }\n catch(e){}\n }\n }\n\n function onDragStart(cm, e) {\n if (ie && (!cm.state.draggingText || +new Date - lastDrop < 100)) { e_stop(e); return; }\n if (signalDOMEvent(cm, e) || eventInWidget(cm.display, e)) return;\n\n e.dataTransfer.setData(\"Text\", cm.getSelection());\n\n // Use dummy image instead of default browsers image.\n // Recent Safari (~6.0.2) have a tendency to segfault when this happens, so we don't do it there.\n if (e.dataTransfer.setDragImage && !safari) {\n var img = elt(\"img\", null, null, \"position: fixed; left: 0; top: 0;\");\n img.src = \"data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\";\n if (presto) {\n img.width = img.height = 1;\n cm.display.wrapper.appendChild(img);\n // Force a relayout, or Opera won't use our image for some obscure reason\n img._top = img.offsetTop;\n }\n e.dataTransfer.setDragImage(img, 0, 0);\n if (presto) img.parentNode.removeChild(img);\n }\n }\n\n // SCROLL EVENTS\n\n // Sync the scrollable area and scrollbars, ensure the viewport\n // covers the visible area.\n function setScrollTop(cm, val) {\n if (Math.abs(cm.doc.scrollTop - val) < 2) return;\n cm.doc.scrollTop = val;\n if (!gecko) updateDisplay(cm, {top: val});\n if (cm.display.scroller.scrollTop != val) cm.display.scroller.scrollTop = val;\n if (cm.display.scrollbarV.scrollTop != val) cm.display.scrollbarV.scrollTop = val;\n if (gecko) updateDisplay(cm);\n startWorker(cm, 100);\n }\n // Sync scroller and scrollbar, ensure the gutter elements are\n // aligned.\n function setScrollLeft(cm, val, isScroller) {\n if (isScroller ? val == cm.doc.scrollLeft : Math.abs(cm.doc.scrollLeft - val) < 2) return;\n val = Math.min(val, cm.display.scroller.scrollWidth - cm.display.scroller.clientWidth);\n cm.doc.scrollLeft = val;\n alignHorizontally(cm);\n if (cm.display.scroller.scrollLeft != val) cm.display.scroller.scrollLeft = val;\n if (cm.display.scrollbarH.scrollLeft != val) cm.display.scrollbarH.scrollLeft = val;\n }\n\n // Since the delta values reported on mouse wheel events are\n // unstandardized between browsers and even browser versions, and\n // generally horribly unpredictable, this code starts by measuring\n // the scroll effect that the first few mouse wheel events have,\n // and, from that, detects the way it can convert deltas to pixel\n // offsets afterwards.\n //\n // The reason we want to know the amount a wheel event will scroll\n // is that it gives us a chance to update the display before the\n // actual scrolling happens, reducing flickering.\n\n var wheelSamples = 0, wheelPixelsPerUnit = null;\n // Fill in a browser-detected starting value on browsers where we\n // know one. These don't have to be accurate -- the result of them\n // being wrong would just be a slight flicker on the first wheel\n // scroll (if it is large enough).\n if (ie) wheelPixelsPerUnit = -.53;\n else if (gecko) wheelPixelsPerUnit = 15;\n else if (chrome) wheelPixelsPerUnit = -.7;\n else if (safari) wheelPixelsPerUnit = -1/3;\n\n function onScrollWheel(cm, e) {\n var dx = e.wheelDeltaX, dy = e.wheelDeltaY;\n if (dx == null && e.detail && e.axis == e.HORIZONTAL_AXIS) dx = e.detail;\n if (dy == null && e.detail && e.axis == e.VERTICAL_AXIS) dy = e.detail;\n else if (dy == null) dy = e.wheelDelta;\n\n var display = cm.display, scroll = display.scroller;\n // Quit if there's nothing to scroll here\n if (!(dx && scroll.scrollWidth > scroll.clientWidth ||\n dy && scroll.scrollHeight > scroll.clientHeight)) return;\n\n // Webkit browsers on OS X abort momentum scrolls when the target\n // of the scroll event is removed from the scrollable element.\n // This hack (see related code in patchDisplay) makes sure the\n // element is kept around.\n if (dy && mac && webkit) {\n outer: for (var cur = e.target, view = display.view; cur != scroll; cur = cur.parentNode) {\n for (var i = 0; i < view.length; i++) {\n if (view[i].node == cur) {\n cm.display.currentWheelTarget = cur;\n break outer;\n }\n }\n }\n }\n\n // On some browsers, horizontal scrolling will cause redraws to\n // happen before the gutter has been realigned, causing it to\n // wriggle around in a most unseemly way. When we have an\n // estimated pixels/delta value, we just handle horizontal\n // scrolling entirely here. It'll be slightly off from native, but\n // better than glitching out.\n if (dx && !gecko && !presto && wheelPixelsPerUnit != null) {\n if (dy)\n setScrollTop(cm, Math.max(0, Math.min(scroll.scrollTop + dy * wheelPixelsPerUnit, scroll.scrollHeight - scroll.clientHeight)));\n setScrollLeft(cm, Math.max(0, Math.min(scroll.scrollLeft + dx * wheelPixelsPerUnit, scroll.scrollWidth - scroll.clientWidth)));\n e_preventDefault(e);\n display.wheelStartX = null; // Abort measurement, if in progress\n return;\n }\n\n // 'Project' the visible viewport to cover the area that is being\n // scrolled into view (if we know enough to estimate it).\n if (dy && wheelPixelsPerUnit != null) {\n var pixels = dy * wheelPixelsPerUnit;\n var top = cm.doc.scrollTop, bot = top + display.wrapper.clientHeight;\n if (pixels < 0) top = Math.max(0, top + pixels - 50);\n else bot = Math.min(cm.doc.height, bot + pixels + 50);\n updateDisplay(cm, {top: top, bottom: bot});\n }\n\n if (wheelSamples < 20) {\n if (display.wheelStartX == null) {\n display.wheelStartX = scroll.scrollLeft; display.wheelStartY = scroll.scrollTop;\n display.wheelDX = dx; display.wheelDY = dy;\n setTimeout(function() {\n if (display.wheelStartX == null) return;\n var movedX = scroll.scrollLeft - display.wheelStartX;\n var movedY = scroll.scrollTop - display.wheelStartY;\n var sample = (movedY && display.wheelDY && movedY / display.wheelDY) ||\n (movedX && display.wheelDX && movedX / display.wheelDX);\n display.wheelStartX = display.wheelStartY = null;\n if (!sample) return;\n wheelPixelsPerUnit = (wheelPixelsPerUnit * wheelSamples + sample) / (wheelSamples + 1);\n ++wheelSamples;\n }, 200);\n } else {\n display.wheelDX += dx; display.wheelDY += dy;\n }\n }\n }\n\n // KEY EVENTS\n\n // Run a handler that was bound to a key.\n function doHandleBinding(cm, bound, dropShift) {\n if (typeof bound == \"string\") {\n bound = commands[bound];\n if (!bound) return false;\n }\n // Ensure previous input has been read, so that the handler sees a\n // consistent view of the document\n if (cm.display.pollingFast && readInput(cm)) cm.display.pollingFast = false;\n var prevShift = cm.display.shift, done = false;\n try {\n if (isReadOnly(cm)) cm.state.suppressEdits = true;\n if (dropShift) cm.display.shift = false;\n done = bound(cm) != Pass;\n } finally {\n cm.display.shift = prevShift;\n cm.state.suppressEdits = false;\n }\n return done;\n }\n\n // Collect the currently active keymaps.\n function allKeyMaps(cm) {\n var maps = cm.state.keyMaps.slice(0);\n if (cm.options.extraKeys) maps.push(cm.options.extraKeys);\n maps.push(cm.options.keyMap);\n return maps;\n }\n\n var maybeTransition;\n // Handle a key from the keydown event.\n function handleKeyBinding(cm, e) {\n // Handle automatic keymap transitions\n var startMap = getKeyMap(cm.options.keyMap), next = startMap.auto;\n clearTimeout(maybeTransition);\n if (next && !isModifierKey(e)) maybeTransition = setTimeout(function() {\n if (getKeyMap(cm.options.keyMap) == startMap) {\n cm.options.keyMap = (next.call ? next.call(null, cm) : next);\n keyMapChanged(cm);\n }\n }, 50);\n\n var name = keyName(e, true), handled = false;\n if (!name) return false;\n var keymaps = allKeyMaps(cm);\n\n if (e.shiftKey) {\n // First try to resolve full name (including 'Shift-'). Failing\n // that, see if there is a cursor-motion command (starting with\n // 'go') bound to the keyname without 'Shift-'.\n handled = lookupKey(\"Shift-\" + name, keymaps, function(b) {return doHandleBinding(cm, b, true);})\n || lookupKey(name, keymaps, function(b) {\n if (typeof b == \"string\" ? /^go[A-Z]/.test(b) : b.motion)\n return doHandleBinding(cm, b);\n });\n } else {\n handled = lookupKey(name, keymaps, function(b) { return doHandleBinding(cm, b); });\n }\n\n if (handled) {\n e_preventDefault(e);\n restartBlink(cm);\n signalLater(cm, \"keyHandled\", cm, name, e);\n }\n return handled;\n }\n\n // Handle a key from the keypress event\n function handleCharBinding(cm, e, ch) {\n var handled = lookupKey(\"'\" + ch + \"'\", allKeyMaps(cm),\n function(b) { return doHandleBinding(cm, b, true); });\n if (handled) {\n e_preventDefault(e);\n restartBlink(cm);\n signalLater(cm, \"keyHandled\", cm, \"'\" + ch + \"'\", e);\n }\n return handled;\n }\n\n var lastStoppedKey = null;\n function onKeyDown(e) {\n var cm = this;\n ensureFocus(cm);\n if (signalDOMEvent(cm, e)) return;\n // IE does strange things with escape.\n if (ie_upto10 && e.keyCode == 27) e.returnValue = false;\n var code = e.keyCode;\n cm.display.shift = code == 16 || e.shiftKey;\n var handled = handleKeyBinding(cm, e);\n if (presto) {\n lastStoppedKey = handled ? code : null;\n // Opera has no cut event... we try to at least catch the key combo\n if (!handled && code == 88 && !hasCopyEvent && (mac ? e.metaKey : e.ctrlKey))\n cm.replaceSelection(\"\", null, \"cut\");\n }\n\n // Turn mouse into crosshair when Alt is held on Mac.\n if (code == 18 && !/\\bCodeMirror-crosshair\\b/.test(cm.display.lineDiv.className))\n showCrossHair(cm);\n }\n\n function showCrossHair(cm) {\n var lineDiv = cm.display.lineDiv;\n addClass(lineDiv, \"CodeMirror-crosshair\");\n\n function up(e) {\n if (e.keyCode == 18 || !e.altKey) {\n rmClass(lineDiv, \"CodeMirror-crosshair\");\n off(document, \"keyup\", up);\n off(document, \"mouseover\", up);\n }\n }\n on(document, \"keyup\", up);\n on(document, \"mouseover\", up);\n }\n\n function onKeyUp(e) {\n if (signalDOMEvent(this, e)) return;\n if (e.keyCode == 16) this.doc.sel.shift = false;\n }\n\n function onKeyPress(e) {\n var cm = this;\n if (signalDOMEvent(cm, e)) return;\n var keyCode = e.keyCode, charCode = e.charCode;\n if (presto && keyCode == lastStoppedKey) {lastStoppedKey = null; e_preventDefault(e); return;}\n if (((presto && (!e.which || e.which < 10)) || khtml) && handleKeyBinding(cm, e)) return;\n var ch = String.fromCharCode(charCode == null ? keyCode : charCode);\n if (handleCharBinding(cm, e, ch)) return;\n if (ie && !ie_upto8) cm.display.inputHasSelection = null;\n fastPoll(cm);\n }\n\n // FOCUS/BLUR EVENTS\n\n function onFocus(cm) {\n if (cm.options.readOnly == \"nocursor\") return;\n if (!cm.state.focused) {\n signal(cm, \"focus\", cm);\n cm.state.focused = true;\n addClass(cm.display.wrapper, \"CodeMirror-focused\");\n // The prevInput test prevents this from firing when a context\n // menu is closed (since the resetInput would kill the\n // select-all detection hack)\n if (!cm.curOp && cm.display.selForContextMenu != cm.doc.sel) {\n resetInput(cm);\n if (webkit) setTimeout(bind(resetInput, cm, true), 0); // Issue #1730\n }\n }\n slowPoll(cm);\n restartBlink(cm);\n }\n function onBlur(cm) {\n if (cm.state.focused) {\n signal(cm, \"blur\", cm);\n cm.state.focused = false;\n rmClass(cm.display.wrapper, \"CodeMirror-focused\");\n }\n clearInterval(cm.display.blinker);\n setTimeout(function() {if (!cm.state.focused) cm.display.shift = false;}, 150);\n }\n\n // CONTEXT MENU HANDLING\n\n // To make the context menu work, we need to briefly unhide the\n // textarea (making it as unobtrusive as possible) to let the\n // right-click take effect on it.\n function onContextMenu(cm, e) {\n if (signalDOMEvent(cm, e, \"contextmenu\")) return;\n var display = cm.display;\n if (eventInWidget(display, e) || contextMenuInGutter(cm, e)) return;\n\n var pos = posFromMouse(cm, e), scrollPos = display.scroller.scrollTop;\n if (!pos || presto) return; // Opera is difficult.\n\n // Reset the current text selection only if the click is done outside of the selection\n // and 'resetSelectionOnContextMenu' option is true.\n var reset = cm.options.resetSelectionOnContextMenu;\n if (reset && cm.doc.sel.contains(pos) == -1)\n operation(cm, setSelection)(cm.doc, simpleSelection(pos), sel_dontScroll);\n\n var oldCSS = display.input.style.cssText;\n display.inputDiv.style.position = \"absolute\";\n display.input.style.cssText = \"position: fixed; width: 30px; height: 30px; top: \" + (e.clientY - 5) +\n \"px; left: \" + (e.clientX - 5) + \"px; z-index: 1000; background: \" +\n (ie ? \"rgba(255, 255, 255, .05)\" : \"transparent\") +\n \"; outline: none; border-width: 0; outline: none; overflow: hidden; opacity: .05; filter: alpha(opacity=5);\";\n focusInput(cm);\n resetInput(cm);\n // Adds \"Select all\" to context menu in FF\n if (!cm.somethingSelected()) display.input.value = display.prevInput = \" \";\n display.selForContextMenu = cm.doc.sel;\n clearTimeout(display.detectingSelectAll);\n\n // Select-all will be greyed out if there's nothing to select, so\n // this adds a zero-width space so that we can later check whether\n // it got selected.\n function prepareSelectAllHack() {\n if (display.input.selectionStart != null) {\n var selected = cm.somethingSelected();\n var extval = display.input.value = \"\\u200b\" + (selected ? display.input.value : \"\");\n display.prevInput = selected ? \"\" : \"\\u200b\";\n display.input.selectionStart = 1; display.input.selectionEnd = extval.length;\n }\n }\n function rehide() {\n display.inputDiv.style.position = \"relative\";\n display.input.style.cssText = oldCSS;\n if (ie_upto8) display.scrollbarV.scrollTop = display.scroller.scrollTop = scrollPos;\n slowPoll(cm);\n\n // Try to detect the user choosing select-all\n if (display.input.selectionStart != null) {\n if (!ie || ie_upto8) prepareSelectAllHack();\n var i = 0, poll = function() {\n if (display.selForContextMenu == cm.doc.sel && display.input.selectionStart == 0)\n operation(cm, commands.selectAll)(cm);\n else if (i++ < 10) display.detectingSelectAll = setTimeout(poll, 500);\n else resetInput(cm);\n };\n display.detectingSelectAll = setTimeout(poll, 200);\n }\n }\n\n if (ie && !ie_upto8) prepareSelectAllHack();\n if (captureRightClick) {\n e_stop(e);\n var mouseup = function() {\n off(window, \"mouseup\", mouseup);\n setTimeout(rehide, 20);\n };\n on(window, \"mouseup\", mouseup);\n } else {\n setTimeout(rehide, 50);\n }\n }\n\n function contextMenuInGutter(cm, e) {\n if (!hasHandler(cm, \"gutterContextMenu\")) return false;\n return gutterEvent(cm, e, \"gutterContextMenu\", false, signal);\n }\n\n // UPDATING\n\n // Compute the position of the end of a change (its 'to' property\n // refers to the pre-change end).\n var changeEnd = CodeMirror.changeEnd = function(change) {\n if (!change.text) return change.to;\n return Pos(change.from.line + change.text.length - 1,\n lst(change.text).length + (change.text.length == 1 ? change.from.ch : 0));\n };\n\n // Adjust a position to refer to the post-change position of the\n // same text, or the end of the change if the change covers it.\n function adjustForChange(pos, change) {\n if (cmp(pos, change.from) < 0) return pos;\n if (cmp(pos, change.to) <= 0) return changeEnd(change);\n\n var line = pos.line + change.text.length - (change.to.line - change.from.line) - 1, ch = pos.ch;\n if (pos.line == change.to.line) ch += changeEnd(change).ch - change.to.ch;\n return Pos(line, ch);\n }\n\n function computeSelAfterChange(doc, change) {\n var out = [];\n for (var i = 0; i < doc.sel.ranges.length; i++) {\n var range = doc.sel.ranges[i];\n out.push(new Range(adjustForChange(range.anchor, change),\n adjustForChange(range.head, change)));\n }\n return normalizeSelection(out, doc.sel.primIndex);\n }\n\n function offsetPos(pos, old, nw) {\n if (pos.line == old.line)\n return Pos(nw.line, pos.ch - old.ch + nw.ch);\n else\n return Pos(nw.line + (pos.line - old.line), pos.ch);\n }\n\n // Used by replaceSelections to allow moving the selection to the\n // start or around the replaced test. Hint may be \"start\" or \"around\".\n function computeReplacedSel(doc, changes, hint) {\n var out = [];\n var oldPrev = Pos(doc.first, 0), newPrev = oldPrev;\n for (var i = 0; i < changes.length; i++) {\n var change = changes[i];\n var from = offsetPos(change.from, oldPrev, newPrev);\n var to = offsetPos(changeEnd(change), oldPrev, newPrev);\n oldPrev = change.to;\n newPrev = to;\n if (hint == \"around\") {\n var range = doc.sel.ranges[i], inv = cmp(range.head, range.anchor) < 0;\n out[i] = new Range(inv ? to : from, inv ? from : to);\n } else {\n out[i] = new Range(from, from);\n }\n }\n return new Selection(out, doc.sel.primIndex);\n }\n\n // Allow \"beforeChange\" event handlers to influence a change\n function filterChange(doc, change, update) {\n var obj = {\n canceled: false,\n from: change.from,\n to: change.to,\n text: change.text,\n origin: change.origin,\n cancel: function() { this.canceled = true; }\n };\n if (update) obj.update = function(from, to, text, origin) {\n if (from) this.from = clipPos(doc, from);\n if (to) this.to = clipPos(doc, to);\n if (text) this.text = text;\n if (origin !== undefined) this.origin = origin;\n };\n signal(doc, \"beforeChange\", doc, obj);\n if (doc.cm) signal(doc.cm, \"beforeChange\", doc.cm, obj);\n\n if (obj.canceled) return null;\n return {from: obj.from, to: obj.to, text: obj.text, origin: obj.origin};\n }\n\n // Apply a change to a document, and add it to the document's\n // history, and propagating it to all linked documents.\n function makeChange(doc, change, ignoreReadOnly) {\n if (doc.cm) {\n if (!doc.cm.curOp) return operation(doc.cm, makeChange)(doc, change, ignoreReadOnly);\n if (doc.cm.state.suppressEdits) return;\n }\n\n if (hasHandler(doc, \"beforeChange\") || doc.cm && hasHandler(doc.cm, \"beforeChange\")) {\n change = filterChange(doc, change, true);\n if (!change) return;\n }\n\n // Possibly split or suppress the update based on the presence\n // of read-only spans in its range.\n var split = sawReadOnlySpans && !ignoreReadOnly && removeReadOnlyRanges(doc, change.from, change.to);\n if (split) {\n for (var i = split.length - 1; i >= 0; --i)\n makeChangeInner(doc, {from: split[i].from, to: split[i].to, text: i ? [\"\"] : change.text});\n } else {\n makeChangeInner(doc, change);\n }\n }\n\n function makeChangeInner(doc, change) {\n if (change.text.length == 1 && change.text[0] == \"\" && cmp(change.from, change.to) == 0) return;\n var selAfter = computeSelAfterChange(doc, change);\n addChangeToHistory(doc, change, selAfter, doc.cm ? doc.cm.curOp.id : NaN);\n\n makeChangeSingleDoc(doc, change, selAfter, stretchSpansOverChange(doc, change));\n var rebased = [];\n\n linkedDocs(doc, function(doc, sharedHist) {\n if (!sharedHist && indexOf(rebased, doc.history) == -1) {\n rebaseHist(doc.history, change);\n rebased.push(doc.history);\n }\n makeChangeSingleDoc(doc, change, null, stretchSpansOverChange(doc, change));\n });\n }\n\n // Revert a change stored in a document's history.\n function makeChangeFromHistory(doc, type, allowSelectionOnly) {\n if (doc.cm && doc.cm.state.suppressEdits) return;\n\n var hist = doc.history, event, selAfter = doc.sel;\n var source = type == \"undo\" ? hist.done : hist.undone, dest = type == \"undo\" ? hist.undone : hist.done;\n\n // Verify that there is a useable event (so that ctrl-z won't\n // needlessly clear selection events)\n for (var i = 0; i < source.length; i++) {\n event = source[i];\n if (allowSelectionOnly ? event.ranges && !event.equals(doc.sel) : !event.ranges)\n break;\n }\n if (i == source.length) return;\n hist.lastOrigin = hist.lastSelOrigin = null;\n\n for (;;) {\n event = source.pop();\n if (event.ranges) {\n pushSelectionToHistory(event, dest);\n if (allowSelectionOnly && !event.equals(doc.sel)) {\n setSelection(doc, event, {clearRedo: false});\n return;\n }\n selAfter = event;\n }\n else break;\n }\n\n // Build up a reverse change object to add to the opposite history\n // stack (redo when undoing, and vice versa).\n var antiChanges = [];\n pushSelectionToHistory(selAfter, dest);\n dest.push({changes: antiChanges, generation: hist.generation});\n hist.generation = event.generation || ++hist.maxGeneration;\n\n var filter = hasHandler(doc, \"beforeChange\") || doc.cm && hasHandler(doc.cm, \"beforeChange\");\n\n for (var i = event.changes.length - 1; i >= 0; --i) {\n var change = event.changes[i];\n change.origin = type;\n if (filter && !filterChange(doc, change, false)) {\n source.length = 0;\n return;\n }\n\n antiChanges.push(historyChangeFromChange(doc, change));\n\n var after = i ? computeSelAfterChange(doc, change, null) : lst(source);\n makeChangeSingleDoc(doc, change, after, mergeOldSpans(doc, change));\n if (!i && doc.cm) doc.cm.scrollIntoView(change);\n var rebased = [];\n\n // Propagate to the linked documents\n linkedDocs(doc, function(doc, sharedHist) {\n if (!sharedHist && indexOf(rebased, doc.history) == -1) {\n rebaseHist(doc.history, change);\n rebased.push(doc.history);\n }\n makeChangeSingleDoc(doc, change, null, mergeOldSpans(doc, change));\n });\n }\n }\n\n // Sub-views need their line numbers shifted when text is added\n // above or below them in the parent document.\n function shiftDoc(doc, distance) {\n if (distance == 0) return;\n doc.first += distance;\n doc.sel = new Selection(map(doc.sel.ranges, function(range) {\n return new Range(Pos(range.anchor.line + distance, range.anchor.ch),\n Pos(range.head.line + distance, range.head.ch));\n }), doc.sel.primIndex);\n if (doc.cm) {\n regChange(doc.cm, doc.first, doc.first - distance, distance);\n for (var d = doc.cm.display, l = d.viewFrom; l < d.viewTo; l++)\n regLineChange(doc.cm, l, \"gutter\");\n }\n }\n\n // More lower-level change function, handling only a single document\n // (not linked ones).\n function makeChangeSingleDoc(doc, change, selAfter, spans) {\n if (doc.cm && !doc.cm.curOp)\n return operation(doc.cm, makeChangeSingleDoc)(doc, change, selAfter, spans);\n\n if (change.to.line < doc.first) {\n shiftDoc(doc, change.text.length - 1 - (change.to.line - change.from.line));\n return;\n }\n if (change.from.line > doc.lastLine()) return;\n\n // Clip the change to the size of this doc\n if (change.from.line < doc.first) {\n var shift = change.text.length - 1 - (doc.first - change.from.line);\n shiftDoc(doc, shift);\n change = {from: Pos(doc.first, 0), to: Pos(change.to.line + shift, change.to.ch),\n text: [lst(change.text)], origin: change.origin};\n }\n var last = doc.lastLine();\n if (change.to.line > last) {\n change = {from: change.from, to: Pos(last, getLine(doc, last).text.length),\n text: [change.text[0]], origin: change.origin};\n }\n\n change.removed = getBetween(doc, change.from, change.to);\n\n if (!selAfter) selAfter = computeSelAfterChange(doc, change, null);\n if (doc.cm) makeChangeSingleDocInEditor(doc.cm, change, spans);\n else updateDoc(doc, change, spans);\n setSelectionNoUndo(doc, selAfter, sel_dontScroll);\n }\n\n // Handle the interaction of a change to a document with the editor\n // that this document is part of.\n function makeChangeSingleDocInEditor(cm, change, spans) {\n var doc = cm.doc, display = cm.display, from = change.from, to = change.to;\n\n var recomputeMaxLength = false, checkWidthStart = from.line;\n if (!cm.options.lineWrapping) {\n checkWidthStart = lineNo(visualLine(getLine(doc, from.line)));\n doc.iter(checkWidthStart, to.line + 1, function(line) {\n if (line == display.maxLine) {\n recomputeMaxLength = true;\n return true;\n }\n });\n }\n\n if (doc.sel.contains(change.from, change.to) > -1)\n signalCursorActivity(cm);\n\n updateDoc(doc, change, spans, estimateHeight(cm));\n\n if (!cm.options.lineWrapping) {\n doc.iter(checkWidthStart, from.line + change.text.length, function(line) {\n var len = lineLength(line);\n if (len > display.maxLineLength) {\n display.maxLine = line;\n display.maxLineLength = len;\n display.maxLineChanged = true;\n recomputeMaxLength = false;\n }\n });\n if (recomputeMaxLength) cm.curOp.updateMaxLine = true;\n }\n\n // Adjust frontier, schedule worker\n doc.frontier = Math.min(doc.frontier, from.line);\n startWorker(cm, 400);\n\n var lendiff = change.text.length - (to.line - from.line) - 1;\n // Remember that these lines changed, for updating the display\n if (from.line == to.line && change.text.length == 1 && !isWholeLineUpdate(cm.doc, change))\n regLineChange(cm, from.line, \"text\");\n else\n regChange(cm, from.line, to.line + 1, lendiff);\n\n var changesHandler = hasHandler(cm, \"changes\"), changeHandler = hasHandler(cm, \"change\");\n if (changeHandler || changesHandler) {\n var obj = {\n from: from, to: to,\n text: change.text,\n removed: change.removed,\n origin: change.origin\n };\n if (changeHandler) signalLater(cm, \"change\", cm, obj);\n if (changesHandler) (cm.curOp.changeObjs || (cm.curOp.changeObjs = [])).push(obj);\n }\n cm.display.selForContextMenu = null;\n }\n\n function replaceRange(doc, code, from, to, origin) {\n if (!to) to = from;\n if (cmp(to, from) < 0) { var tmp = to; to = from; from = tmp; }\n if (typeof code == \"string\") code = splitLines(code);\n makeChange(doc, {from: from, to: to, text: code, origin: origin});\n }\n\n // SCROLLING THINGS INTO VIEW\n\n // If an editor sits on the top or bottom of the window, partially\n // scrolled out of view, this ensures that the cursor is visible.\n function maybeScrollWindow(cm, coords) {\n var display = cm.display, box = display.sizer.getBoundingClientRect(), doScroll = null;\n if (coords.top + box.top < 0) doScroll = true;\n else if (coords.bottom + box.top > (window.innerHeight || document.documentElement.clientHeight)) doScroll = false;\n if (doScroll != null && !phantom) {\n var scrollNode = elt(\"div\", \"\\u200b\", null, \"position: absolute; top: \" +\n (coords.top - display.viewOffset - paddingTop(cm.display)) + \"px; height: \" +\n (coords.bottom - coords.top + scrollerCutOff) + \"px; left: \" +\n coords.left + \"px; width: 2px;\");\n cm.display.lineSpace.appendChild(scrollNode);\n scrollNode.scrollIntoView(doScroll);\n cm.display.lineSpace.removeChild(scrollNode);\n }\n }\n\n // Scroll a given position into view (immediately), verifying that\n // it actually became visible (as line heights are accurately\n // measured, the position of something may 'drift' during drawing).\n function scrollPosIntoView(cm, pos, end, margin) {\n if (margin == null) margin = 0;\n for (;;) {\n var changed = false, coords = cursorCoords(cm, pos);\n var endCoords = !end || end == pos ? coords : cursorCoords(cm, end);\n var scrollPos = calculateScrollPos(cm, Math.min(coords.left, endCoords.left),\n Math.min(coords.top, endCoords.top) - margin,\n Math.max(coords.left, endCoords.left),\n Math.max(coords.bottom, endCoords.bottom) + margin);\n var startTop = cm.doc.scrollTop, startLeft = cm.doc.scrollLeft;\n if (scrollPos.scrollTop != null) {\n setScrollTop(cm, scrollPos.scrollTop);\n if (Math.abs(cm.doc.scrollTop - startTop) > 1) changed = true;\n }\n if (scrollPos.scrollLeft != null) {\n setScrollLeft(cm, scrollPos.scrollLeft);\n if (Math.abs(cm.doc.scrollLeft - startLeft) > 1) changed = true;\n }\n if (!changed) return coords;\n }\n }\n\n // Scroll a given set of coordinates into view (immediately).\n function scrollIntoView(cm, x1, y1, x2, y2) {\n var scrollPos = calculateScrollPos(cm, x1, y1, x2, y2);\n if (scrollPos.scrollTop != null) setScrollTop(cm, scrollPos.scrollTop);\n if (scrollPos.scrollLeft != null) setScrollLeft(cm, scrollPos.scrollLeft);\n }\n\n // Calculate a new scroll position needed to scroll the given\n // rectangle into view. Returns an object with scrollTop and\n // scrollLeft properties. When these are undefined, the\n // vertical/horizontal position does not need to be adjusted.\n function calculateScrollPos(cm, x1, y1, x2, y2) {\n var display = cm.display, snapMargin = textHeight(cm.display);\n if (y1 < 0) y1 = 0;\n var screentop = cm.curOp && cm.curOp.scrollTop != null ? cm.curOp.scrollTop : display.scroller.scrollTop;\n var screen = display.scroller.clientHeight - scrollerCutOff, result = {};\n var docBottom = cm.doc.height + paddingVert(display);\n var atTop = y1 < snapMargin, atBottom = y2 > docBottom - snapMargin;\n if (y1 < screentop) {\n result.scrollTop = atTop ? 0 : y1;\n } else if (y2 > screentop + screen) {\n var newTop = Math.min(y1, (atBottom ? docBottom : y2) - screen);\n if (newTop != screentop) result.scrollTop = newTop;\n }\n\n var screenleft = cm.curOp && cm.curOp.scrollLeft != null ? cm.curOp.scrollLeft : display.scroller.scrollLeft;\n var screenw = display.scroller.clientWidth - scrollerCutOff;\n x1 += display.gutters.offsetWidth; x2 += display.gutters.offsetWidth;\n var gutterw = display.gutters.offsetWidth;\n var atLeft = x1 < gutterw + 10;\n if (x1 < screenleft + gutterw || atLeft) {\n if (atLeft) x1 = 0;\n result.scrollLeft = Math.max(0, x1 - 10 - gutterw);\n } else if (x2 > screenw + screenleft - 3) {\n result.scrollLeft = x2 + 10 - screenw;\n }\n return result;\n }\n\n // Store a relative adjustment to the scroll position in the current\n // operation (to be applied when the operation finishes).\n function addToScrollPos(cm, left, top) {\n if (left != null || top != null) resolveScrollToPos(cm);\n if (left != null)\n cm.curOp.scrollLeft = (cm.curOp.scrollLeft == null ? cm.doc.scrollLeft : cm.curOp.scrollLeft) + left;\n if (top != null)\n cm.curOp.scrollTop = (cm.curOp.scrollTop == null ? cm.doc.scrollTop : cm.curOp.scrollTop) + top;\n }\n\n // Make sure that at the end of the operation the current cursor is\n // shown.\n function ensureCursorVisible(cm) {\n resolveScrollToPos(cm);\n var cur = cm.getCursor(), from = cur, to = cur;\n if (!cm.options.lineWrapping) {\n from = cur.ch ? Pos(cur.line, cur.ch - 1) : cur;\n to = Pos(cur.line, cur.ch + 1);\n }\n cm.curOp.scrollToPos = {from: from, to: to, margin: cm.options.cursorScrollMargin, isCursor: true};\n }\n\n // When an operation has its scrollToPos property set, and another\n // scroll action is applied before the end of the operation, this\n // 'simulates' scrolling that position into view in a cheap way, so\n // that the effect of intermediate scroll commands is not ignored.\n function resolveScrollToPos(cm) {\n var range = cm.curOp.scrollToPos;\n if (range) {\n cm.curOp.scrollToPos = null;\n var from = estimateCoords(cm, range.from), to = estimateCoords(cm, range.to);\n var sPos = calculateScrollPos(cm, Math.min(from.left, to.left),\n Math.min(from.top, to.top) - range.margin,\n Math.max(from.right, to.right),\n Math.max(from.bottom, to.bottom) + range.margin);\n cm.scrollTo(sPos.scrollLeft, sPos.scrollTop);\n }\n }\n\n // API UTILITIES\n\n // Indent the given line. The how parameter can be \"smart\",\n // \"add\"/null, \"subtract\", or \"prev\". When aggressive is false\n // (typically set to true for forced single-line indents), empty\n // lines are not indented, and places where the mode returns Pass\n // are left alone.\n function indentLine(cm, n, how, aggressive) {\n var doc = cm.doc, state;\n if (how == null) how = \"add\";\n if (how == \"smart\") {\n // Fall back to \"prev\" when the mode doesn't have an indentation\n // method.\n if (!cm.doc.mode.indent) how = \"prev\";\n else state = getStateBefore(cm, n);\n }\n\n var tabSize = cm.options.tabSize;\n var line = getLine(doc, n), curSpace = countColumn(line.text, null, tabSize);\n if (line.stateAfter) line.stateAfter = null;\n var curSpaceString = line.text.match(/^\\s*/)[0], indentation;\n if (!aggressive && !/\\S/.test(line.text)) {\n indentation = 0;\n how = \"not\";\n } else if (how == \"smart\") {\n indentation = cm.doc.mode.indent(state, line.text.slice(curSpaceString.length), line.text);\n if (indentation == Pass) {\n if (!aggressive) return;\n how = \"prev\";\n }\n }\n if (how == \"prev\") {\n if (n > doc.first) indentation = countColumn(getLine(doc, n-1).text, null, tabSize);\n else indentation = 0;\n } else if (how == \"add\") {\n indentation = curSpace + cm.options.indentUnit;\n } else if (how == \"subtract\") {\n indentation = curSpace - cm.options.indentUnit;\n } else if (typeof how == \"number\") {\n indentation = curSpace + how;\n }\n indentation = Math.max(0, indentation);\n\n var indentString = \"\", pos = 0;\n if (cm.options.indentWithTabs)\n for (var i = Math.floor(indentation / tabSize); i; --i) {pos += tabSize; indentString += \"\\t\";}\n if (pos < indentation) indentString += spaceStr(indentation - pos);\n\n if (indentString != curSpaceString) {\n replaceRange(cm.doc, indentString, Pos(n, 0), Pos(n, curSpaceString.length), \"+input\");\n } else {\n // Ensure that, if the cursor was in the whitespace at the start\n // of the line, it is moved to the end of that space.\n for (var i = 0; i < doc.sel.ranges.length; i++) {\n var range = doc.sel.ranges[i];\n if (range.head.line == n && range.head.ch < curSpaceString.length) {\n var pos = Pos(n, curSpaceString.length);\n replaceOneSelection(doc, i, new Range(pos, pos));\n break;\n }\n }\n }\n line.stateAfter = null;\n }\n\n // Utility for applying a change to a line by handle or number,\n // returning the number and optionally registering the line as\n // changed.\n function changeLine(cm, handle, changeType, op) {\n var no = handle, line = handle, doc = cm.doc;\n if (typeof handle == \"number\") line = getLine(doc, clipLine(doc, handle));\n else no = lineNo(handle);\n if (no == null) return null;\n if (op(line, no)) regLineChange(cm, no, changeType);\n return line;\n }\n\n // Helper for deleting text near the selection(s), used to implement\n // backspace, delete, and similar functionality.\n function deleteNearSelection(cm, compute) {\n var ranges = cm.doc.sel.ranges, kill = [];\n // Build up a set of ranges to kill first, merging overlapping\n // ranges.\n for (var i = 0; i < ranges.length; i++) {\n var toKill = compute(ranges[i]);\n while (kill.length && cmp(toKill.from, lst(kill).to) <= 0) {\n var replaced = kill.pop();\n if (cmp(replaced.from, toKill.from) < 0) {\n toKill.from = replaced.from;\n break;\n }\n }\n kill.push(toKill);\n }\n // Next, remove those actual ranges.\n runInOp(cm, function() {\n for (var i = kill.length - 1; i >= 0; i--)\n replaceRange(cm.doc, \"\", kill[i].from, kill[i].to, \"+delete\");\n ensureCursorVisible(cm);\n });\n }\n\n // Used for horizontal relative motion. Dir is -1 or 1 (left or\n // right), unit can be \"char\", \"column\" (like char, but doesn't\n // cross line boundaries), \"word\" (across next word), or \"group\" (to\n // the start of next group of word or non-word-non-whitespace\n // chars). The visually param controls whether, in right-to-left\n // text, direction 1 means to move towards the next index in the\n // string, or towards the character to the right of the current\n // position. The resulting position will have a hitSide=true\n // property if it reached the end of the document.\n function findPosH(doc, pos, dir, unit, visually) {\n var line = pos.line, ch = pos.ch, origDir = dir;\n var lineObj = getLine(doc, line);\n var possible = true;\n function findNextLine() {\n var l = line + dir;\n if (l < doc.first || l >= doc.first + doc.size) return (possible = false);\n line = l;\n return lineObj = getLine(doc, l);\n }\n function moveOnce(boundToLine) {\n var next = (visually ? moveVisually : moveLogically)(lineObj, ch, dir, true);\n if (next == null) {\n if (!boundToLine && findNextLine()) {\n if (visually) ch = (dir < 0 ? lineRight : lineLeft)(lineObj);\n else ch = dir < 0 ? lineObj.text.length : 0;\n } else return (possible = false);\n } else ch = next;\n return true;\n }\n\n if (unit == \"char\") moveOnce();\n else if (unit == \"column\") moveOnce(true);\n else if (unit == \"word\" || unit == \"group\") {\n var sawType = null, group = unit == \"group\";\n var helper = doc.cm && doc.cm.getHelper(pos, \"wordChars\");\n for (var first = true;; first = false) {\n if (dir < 0 && !moveOnce(!first)) break;\n var cur = lineObj.text.charAt(ch) || \"\\n\";\n var type = isWordChar(cur, helper) ? \"w\"\n : group && cur == \"\\n\" ? \"n\"\n : !group || /\\s/.test(cur) ? null\n : \"p\";\n if (group && !first && !type) type = \"s\";\n if (sawType && sawType != type) {\n if (dir < 0) {dir = 1; moveOnce();}\n break;\n }\n\n if (type) sawType = type;\n if (dir > 0 && !moveOnce(!first)) break;\n }\n }\n var result = skipAtomic(doc, Pos(line, ch), origDir, true);\n if (!possible) result.hitSide = true;\n return result;\n }\n\n // For relative vertical movement. Dir may be -1 or 1. Unit can be\n // \"page\" or \"line\". The resulting position will have a hitSide=true\n // property if it reached the end of the document.\n function findPosV(cm, pos, dir, unit) {\n var doc = cm.doc, x = pos.left, y;\n if (unit == \"page\") {\n var pageSize = Math.min(cm.display.wrapper.clientHeight, window.innerHeight || document.documentElement.clientHeight);\n y = pos.top + dir * (pageSize - (dir < 0 ? 1.5 : .5) * textHeight(cm.display));\n } else if (unit == \"line\") {\n y = dir > 0 ? pos.bottom + 3 : pos.top - 3;\n }\n for (;;) {\n var target = coordsChar(cm, x, y);\n if (!target.outside) break;\n if (dir < 0 ? y <= 0 : y >= doc.height) { target.hitSide = true; break; }\n y += dir * 5;\n }\n return target;\n }\n\n // Find the word at the given position (as returned by coordsChar).\n function findWordAt(cm, pos) {\n var doc = cm.doc, line = getLine(doc, pos.line).text;\n var start = pos.ch, end = pos.ch;\n if (line) {\n var helper = cm.getHelper(pos, \"wordChars\");\n if ((pos.xRel < 0 || end == line.length) && start) --start; else ++end;\n var startChar = line.charAt(start);\n var check = isWordChar(startChar, helper)\n ? function(ch) { return isWordChar(ch, helper); }\n : /\\s/.test(startChar) ? function(ch) {return /\\s/.test(ch);}\n : function(ch) {return !/\\s/.test(ch) && !isWordChar(ch);};\n while (start > 0 && check(line.charAt(start - 1))) --start;\n while (end < line.length && check(line.charAt(end))) ++end;\n }\n return new Range(Pos(pos.line, start), Pos(pos.line, end));\n }\n\n // EDITOR METHODS\n\n // The publicly visible API. Note that methodOp(f) means\n // 'wrap f in an operation, performed on its `this` parameter'.\n\n // This is not the complete set of editor methods. Most of the\n // methods defined on the Doc type are also injected into\n // CodeMirror.prototype, for backwards compatibility and\n // convenience.\n\n CodeMirror.prototype = {\n constructor: CodeMirror,\n focus: function(){window.focus(); focusInput(this); fastPoll(this);},\n\n setOption: function(option, value) {\n var options = this.options, old = options[option];\n if (options[option] == value && option != \"mode\") return;\n options[option] = value;\n if (optionHandlers.hasOwnProperty(option))\n operation(this, optionHandlers[option])(this, value, old);\n },\n\n getOption: function(option) {return this.options[option];},\n getDoc: function() {return this.doc;},\n\n addKeyMap: function(map, bottom) {\n this.state.keyMaps[bottom ? \"push\" : \"unshift\"](map);\n },\n removeKeyMap: function(map) {\n var maps = this.state.keyMaps;\n for (var i = 0; i < maps.length; ++i)\n if (maps[i] == map || (typeof maps[i] != \"string\" && maps[i].name == map)) {\n maps.splice(i, 1);\n return true;\n }\n },\n\n addOverlay: methodOp(function(spec, options) {\n var mode = spec.token ? spec : CodeMirror.getMode(this.options, spec);\n if (mode.startState) throw new Error(\"Overlays may not be stateful.\");\n this.state.overlays.push({mode: mode, modeSpec: spec, opaque: options && options.opaque});\n this.state.modeGen++;\n regChange(this);\n }),\n removeOverlay: methodOp(function(spec) {\n var overlays = this.state.overlays;\n for (var i = 0; i < overlays.length; ++i) {\n var cur = overlays[i].modeSpec;\n if (cur == spec || typeof spec == \"string\" && cur.name == spec) {\n overlays.splice(i, 1);\n this.state.modeGen++;\n regChange(this);\n return;\n }\n }\n }),\n\n indentLine: methodOp(function(n, dir, aggressive) {\n if (typeof dir != \"string\" && typeof dir != \"number\") {\n if (dir == null) dir = this.options.smartIndent ? \"smart\" : \"prev\";\n else dir = dir ? \"add\" : \"subtract\";\n }\n if (isLine(this.doc, n)) indentLine(this, n, dir, aggressive);\n }),\n indentSelection: methodOp(function(how) {\n var ranges = this.doc.sel.ranges, end = -1;\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n if (!range.empty()) {\n var start = Math.max(end, range.from().line);\n var to = range.to();\n end = Math.min(this.lastLine(), to.line - (to.ch ? 0 : 1)) + 1;\n for (var j = start; j < end; ++j)\n indentLine(this, j, how);\n } else if (range.head.line > end) {\n indentLine(this, range.head.line, how, true);\n end = range.head.line;\n if (i == this.doc.sel.primIndex) ensureCursorVisible(this);\n }\n }\n }),\n\n // Fetch the parser token for a given character. Useful for hacks\n // that want to inspect the mode state (say, for completion).\n getTokenAt: function(pos, precise) {\n var doc = this.doc;\n pos = clipPos(doc, pos);\n var state = getStateBefore(this, pos.line, precise), mode = this.doc.mode;\n var line = getLine(doc, pos.line);\n var stream = new StringStream(line.text, this.options.tabSize);\n while (stream.pos < pos.ch && !stream.eol()) {\n stream.start = stream.pos;\n var style = readToken(mode, stream, state);\n }\n return {start: stream.start,\n end: stream.pos,\n string: stream.current(),\n type: style || null,\n state: state};\n },\n\n getTokenTypeAt: function(pos) {\n pos = clipPos(this.doc, pos);\n var styles = getLineStyles(this, getLine(this.doc, pos.line));\n var before = 0, after = (styles.length - 1) / 2, ch = pos.ch;\n var type;\n if (ch == 0) type = styles[2];\n else for (;;) {\n var mid = (before + after) >> 1;\n if ((mid ? styles[mid * 2 - 1] : 0) >= ch) after = mid;\n else if (styles[mid * 2 + 1] < ch) before = mid + 1;\n else { type = styles[mid * 2 + 2]; break; }\n }\n var cut = type ? type.indexOf(\"cm-overlay \") : -1;\n return cut < 0 ? type : cut == 0 ? null : type.slice(0, cut - 1);\n },\n\n getModeAt: function(pos) {\n var mode = this.doc.mode;\n if (!mode.innerMode) return mode;\n return CodeMirror.innerMode(mode, this.getTokenAt(pos).state).mode;\n },\n\n getHelper: function(pos, type) {\n return this.getHelpers(pos, type)[0];\n },\n\n getHelpers: function(pos, type) {\n var found = [];\n if (!helpers.hasOwnProperty(type)) return helpers;\n var help = helpers[type], mode = this.getModeAt(pos);\n if (typeof mode[type] == \"string\") {\n if (help[mode[type]]) found.push(help[mode[type]]);\n } else if (mode[type]) {\n for (var i = 0; i < mode[type].length; i++) {\n var val = help[mode[type][i]];\n if (val) found.push(val);\n }\n } else if (mode.helperType && help[mode.helperType]) {\n found.push(help[mode.helperType]);\n } else if (help[mode.name]) {\n found.push(help[mode.name]);\n }\n for (var i = 0; i < help._global.length; i++) {\n var cur = help._global[i];\n if (cur.pred(mode, this) && indexOf(found, cur.val) == -1)\n found.push(cur.val);\n }\n return found;\n },\n\n getStateAfter: function(line, precise) {\n var doc = this.doc;\n line = clipLine(doc, line == null ? doc.first + doc.size - 1: line);\n return getStateBefore(this, line + 1, precise);\n },\n\n cursorCoords: function(start, mode) {\n var pos, range = this.doc.sel.primary();\n if (start == null) pos = range.head;\n else if (typeof start == \"object\") pos = clipPos(this.doc, start);\n else pos = start ? range.from() : range.to();\n return cursorCoords(this, pos, mode || \"page\");\n },\n\n charCoords: function(pos, mode) {\n return charCoords(this, clipPos(this.doc, pos), mode || \"page\");\n },\n\n coordsChar: function(coords, mode) {\n coords = fromCoordSystem(this, coords, mode || \"page\");\n return coordsChar(this, coords.left, coords.top);\n },\n\n lineAtHeight: function(height, mode) {\n height = fromCoordSystem(this, {top: height, left: 0}, mode || \"page\").top;\n return lineAtHeight(this.doc, height + this.display.viewOffset);\n },\n heightAtLine: function(line, mode) {\n var end = false, last = this.doc.first + this.doc.size - 1;\n if (line < this.doc.first) line = this.doc.first;\n else if (line > last) { line = last; end = true; }\n var lineObj = getLine(this.doc, line);\n return intoCoordSystem(this, lineObj, {top: 0, left: 0}, mode || \"page\").top +\n (end ? this.doc.height - heightAtLine(lineObj) : 0);\n },\n\n defaultTextHeight: function() { return textHeight(this.display); },\n defaultCharWidth: function() { return charWidth(this.display); },\n\n setGutterMarker: methodOp(function(line, gutterID, value) {\n return changeLine(this, line, \"gutter\", function(line) {\n var markers = line.gutterMarkers || (line.gutterMarkers = {});\n markers[gutterID] = value;\n if (!value && isEmpty(markers)) line.gutterMarkers = null;\n return true;\n });\n }),\n\n clearGutter: methodOp(function(gutterID) {\n var cm = this, doc = cm.doc, i = doc.first;\n doc.iter(function(line) {\n if (line.gutterMarkers && line.gutterMarkers[gutterID]) {\n line.gutterMarkers[gutterID] = null;\n regLineChange(cm, i, \"gutter\");\n if (isEmpty(line.gutterMarkers)) line.gutterMarkers = null;\n }\n ++i;\n });\n }),\n\n addLineClass: methodOp(function(handle, where, cls) {\n return changeLine(this, handle, \"class\", function(line) {\n var prop = where == \"text\" ? \"textClass\" : where == \"background\" ? \"bgClass\" : \"wrapClass\";\n if (!line[prop]) line[prop] = cls;\n else if (new RegExp(\"(?:^|\\\\s)\" + cls + \"(?:$|\\\\s)\").test(line[prop])) return false;\n else line[prop] += \" \" + cls;\n return true;\n });\n }),\n\n removeLineClass: methodOp(function(handle, where, cls) {\n return changeLine(this, handle, \"class\", function(line) {\n var prop = where == \"text\" ? \"textClass\" : where == \"background\" ? \"bgClass\" : \"wrapClass\";\n var cur = line[prop];\n if (!cur) return false;\n else if (cls == null) line[prop] = null;\n else {\n var found = cur.match(new RegExp(\"(?:^|\\\\s+)\" + cls + \"(?:$|\\\\s+)\"));\n if (!found) return false;\n var end = found.index + found[0].length;\n line[prop] = cur.slice(0, found.index) + (!found.index || end == cur.length ? \"\" : \" \") + cur.slice(end) || null;\n }\n return true;\n });\n }),\n\n addLineWidget: methodOp(function(handle, node, options) {\n return addLineWidget(this, handle, node, options);\n }),\n\n removeLineWidget: function(widget) { widget.clear(); },\n\n lineInfo: function(line) {\n if (typeof line == \"number\") {\n if (!isLine(this.doc, line)) return null;\n var n = line;\n line = getLine(this.doc, line);\n if (!line) return null;\n } else {\n var n = lineNo(line);\n if (n == null) return null;\n }\n return {line: n, handle: line, text: line.text, gutterMarkers: line.gutterMarkers,\n textClass: line.textClass, bgClass: line.bgClass, wrapClass: line.wrapClass,\n widgets: line.widgets};\n },\n\n getViewport: function() { return {from: this.display.viewFrom, to: this.display.viewTo};},\n\n addWidget: function(pos, node, scroll, vert, horiz) {\n var display = this.display;\n pos = cursorCoords(this, clipPos(this.doc, pos));\n var top = pos.bottom, left = pos.left;\n node.style.position = \"absolute\";\n display.sizer.appendChild(node);\n if (vert == \"over\") {\n top = pos.top;\n } else if (vert == \"above\" || vert == \"near\") {\n var vspace = Math.max(display.wrapper.clientHeight, this.doc.height),\n hspace = Math.max(display.sizer.clientWidth, display.lineSpace.clientWidth);\n // Default to positioning above (if specified and possible); otherwise default to positioning below\n if ((vert == 'above' || pos.bottom + node.offsetHeight > vspace) && pos.top > node.offsetHeight)\n top = pos.top - node.offsetHeight;\n else if (pos.bottom + node.offsetHeight <= vspace)\n top = pos.bottom;\n if (left + node.offsetWidth > hspace)\n left = hspace - node.offsetWidth;\n }\n node.style.top = top + \"px\";\n node.style.left = node.style.right = \"\";\n if (horiz == \"right\") {\n left = display.sizer.clientWidth - node.offsetWidth;\n node.style.right = \"0px\";\n } else {\n if (horiz == \"left\") left = 0;\n else if (horiz == \"middle\") left = (display.sizer.clientWidth - node.offsetWidth) / 2;\n node.style.left = left + \"px\";\n }\n if (scroll)\n scrollIntoView(this, left, top, left + node.offsetWidth, top + node.offsetHeight);\n },\n\n triggerOnKeyDown: methodOp(onKeyDown),\n triggerOnKeyPress: methodOp(onKeyPress),\n triggerOnKeyUp: methodOp(onKeyUp),\n\n execCommand: function(cmd) {\n if (commands.hasOwnProperty(cmd))\n return commands[cmd](this);\n },\n\n findPosH: function(from, amount, unit, visually) {\n var dir = 1;\n if (amount < 0) { dir = -1; amount = -amount; }\n for (var i = 0, cur = clipPos(this.doc, from); i < amount; ++i) {\n cur = findPosH(this.doc, cur, dir, unit, visually);\n if (cur.hitSide) break;\n }\n return cur;\n },\n\n moveH: methodOp(function(dir, unit) {\n var cm = this;\n cm.extendSelectionsBy(function(range) {\n if (cm.display.shift || cm.doc.extend || range.empty())\n return findPosH(cm.doc, range.head, dir, unit, cm.options.rtlMoveVisually);\n else\n return dir < 0 ? range.from() : range.to();\n }, sel_move);\n }),\n\n deleteH: methodOp(function(dir, unit) {\n var sel = this.doc.sel, doc = this.doc;\n if (sel.somethingSelected())\n doc.replaceSelection(\"\", null, \"+delete\");\n else\n deleteNearSelection(this, function(range) {\n var other = findPosH(doc, range.head, dir, unit, false);\n return dir < 0 ? {from: other, to: range.head} : {from: range.head, to: other};\n });\n }),\n\n findPosV: function(from, amount, unit, goalColumn) {\n var dir = 1, x = goalColumn;\n if (amount < 0) { dir = -1; amount = -amount; }\n for (var i = 0, cur = clipPos(this.doc, from); i < amount; ++i) {\n var coords = cursorCoords(this, cur, \"div\");\n if (x == null) x = coords.left;\n else coords.left = x;\n cur = findPosV(this, coords, dir, unit);\n if (cur.hitSide) break;\n }\n return cur;\n },\n\n moveV: methodOp(function(dir, unit) {\n var cm = this, doc = this.doc, goals = [];\n var collapse = !cm.display.shift && !doc.extend && doc.sel.somethingSelected();\n doc.extendSelectionsBy(function(range) {\n if (collapse)\n return dir < 0 ? range.from() : range.to();\n var headPos = cursorCoords(cm, range.head, \"div\");\n if (range.goalColumn != null) headPos.left = range.goalColumn;\n goals.push(headPos.left);\n var pos = findPosV(cm, headPos, dir, unit);\n if (unit == \"page\" && range == doc.sel.primary())\n addToScrollPos(cm, null, charCoords(cm, pos, \"div\").top - headPos.top);\n return pos;\n }, sel_move);\n if (goals.length) for (var i = 0; i < doc.sel.ranges.length; i++)\n doc.sel.ranges[i].goalColumn = goals[i];\n }),\n\n toggleOverwrite: function(value) {\n if (value != null && value == this.state.overwrite) return;\n if (this.state.overwrite = !this.state.overwrite)\n addClass(this.display.cursorDiv, \"CodeMirror-overwrite\");\n else\n rmClass(this.display.cursorDiv, \"CodeMirror-overwrite\");\n\n signal(this, \"overwriteToggle\", this, this.state.overwrite);\n },\n hasFocus: function() { return activeElt() == this.display.input; },\n\n scrollTo: methodOp(function(x, y) {\n if (x != null || y != null) resolveScrollToPos(this);\n if (x != null) this.curOp.scrollLeft = x;\n if (y != null) this.curOp.scrollTop = y;\n }),\n getScrollInfo: function() {\n var scroller = this.display.scroller, co = scrollerCutOff;\n return {left: scroller.scrollLeft, top: scroller.scrollTop,\n height: scroller.scrollHeight - co, width: scroller.scrollWidth - co,\n clientHeight: scroller.clientHeight - co, clientWidth: scroller.clientWidth - co};\n },\n\n scrollIntoView: methodOp(function(range, margin) {\n if (range == null) {\n range = {from: this.doc.sel.primary().head, to: null};\n if (margin == null) margin = this.options.cursorScrollMargin;\n } else if (typeof range == \"number\") {\n range = {from: Pos(range, 0), to: null};\n } else if (range.from == null) {\n range = {from: range, to: null};\n }\n if (!range.to) range.to = range.from;\n range.margin = margin || 0;\n\n if (range.from.line != null) {\n resolveScrollToPos(this);\n this.curOp.scrollToPos = range;\n } else {\n var sPos = calculateScrollPos(this, Math.min(range.from.left, range.to.left),\n Math.min(range.from.top, range.to.top) - range.margin,\n Math.max(range.from.right, range.to.right),\n Math.max(range.from.bottom, range.to.bottom) + range.margin);\n this.scrollTo(sPos.scrollLeft, sPos.scrollTop);\n }\n }),\n\n setSize: methodOp(function(width, height) {\n function interpret(val) {\n return typeof val == \"number\" || /^\\d+$/.test(String(val)) ? val + \"px\" : val;\n }\n if (width != null) this.display.wrapper.style.width = interpret(width);\n if (height != null) this.display.wrapper.style.height = interpret(height);\n if (this.options.lineWrapping) clearLineMeasurementCache(this);\n this.curOp.forceUpdate = true;\n signal(this, \"refresh\", this);\n }),\n\n operation: function(f){return runInOp(this, f);},\n\n refresh: methodOp(function() {\n var oldHeight = this.display.cachedTextHeight;\n regChange(this);\n this.curOp.forceUpdate = true;\n clearCaches(this);\n this.scrollTo(this.doc.scrollLeft, this.doc.scrollTop);\n updateGutterSpace(this);\n if (oldHeight == null || Math.abs(oldHeight - textHeight(this.display)) > .5)\n estimateLineHeights(this);\n signal(this, \"refresh\", this);\n }),\n\n swapDoc: methodOp(function(doc) {\n var old = this.doc;\n old.cm = null;\n attachDoc(this, doc);\n clearCaches(this);\n resetInput(this);\n this.scrollTo(doc.scrollLeft, doc.scrollTop);\n signalLater(this, \"swapDoc\", this, old);\n return old;\n }),\n\n getInputField: function(){return this.display.input;},\n getWrapperElement: function(){return this.display.wrapper;},\n getScrollerElement: function(){return this.display.scroller;},\n getGutterElement: function(){return this.display.gutters;}\n };\n eventMixin(CodeMirror);\n\n // OPTION DEFAULTS\n\n // The default configuration options.\n var defaults = CodeMirror.defaults = {};\n // Functions to run when options are changed.\n var optionHandlers = CodeMirror.optionHandlers = {};\n\n function option(name, deflt, handle, notOnInit) {\n CodeMirror.defaults[name] = deflt;\n if (handle) optionHandlers[name] =\n notOnInit ? function(cm, val, old) {if (old != Init) handle(cm, val, old);} : handle;\n }\n\n // Passed to option handlers when there is no old value.\n var Init = CodeMirror.Init = {toString: function(){return \"CodeMirror.Init\";}};\n\n // These two are, on init, called from the constructor because they\n // have to be initialized before the editor can start at all.\n option(\"value\", \"\", function(cm, val) {\n cm.setValue(val);\n }, true);\n option(\"mode\", null, function(cm, val) {\n cm.doc.modeOption = val;\n loadMode(cm);\n }, true);\n\n option(\"indentUnit\", 2, loadMode, true);\n option(\"indentWithTabs\", false);\n option(\"smartIndent\", true);\n option(\"tabSize\", 4, function(cm) {\n resetModeState(cm);\n clearCaches(cm);\n regChange(cm);\n }, true);\n option(\"specialChars\", /[\\t\\u0000-\\u0019\\u00ad\\u200b\\u2028\\u2029\\ufeff]/g, function(cm, val) {\n cm.options.specialChars = new RegExp(val.source + (val.test(\"\\t\") ? \"\" : \"|\\t\"), \"g\");\n cm.refresh();\n }, true);\n option(\"specialCharPlaceholder\", defaultSpecialCharPlaceholder, function(cm) {cm.refresh();}, true);\n option(\"electricChars\", true);\n option(\"rtlMoveVisually\", !windows);\n option(\"wholeLineUpdateBefore\", true);\n\n option(\"theme\", \"default\", function(cm) {\n themeChanged(cm);\n guttersChanged(cm);\n }, true);\n option(\"keyMap\", \"default\", keyMapChanged);\n option(\"extraKeys\", null);\n\n option(\"lineWrapping\", false, wrappingChanged, true);\n option(\"gutters\", [], function(cm) {\n setGuttersForLineNumbers(cm.options);\n guttersChanged(cm);\n }, true);\n option(\"fixedGutter\", true, function(cm, val) {\n cm.display.gutters.style.left = val ? compensateForHScroll(cm.display) + \"px\" : \"0\";\n cm.refresh();\n }, true);\n option(\"coverGutterNextToScrollbar\", false, updateScrollbars, true);\n option(\"lineNumbers\", false, function(cm) {\n setGuttersForLineNumbers(cm.options);\n guttersChanged(cm);\n }, true);\n option(\"firstLineNumber\", 1, guttersChanged, true);\n option(\"lineNumberFormatter\", function(integer) {return integer;}, guttersChanged, true);\n option(\"showCursorWhenSelecting\", false, updateSelection, true);\n\n option(\"resetSelectionOnContextMenu\", true);\n\n option(\"readOnly\", false, function(cm, val) {\n if (val == \"nocursor\") {\n onBlur(cm);\n cm.display.input.blur();\n cm.display.disabled = true;\n } else {\n cm.display.disabled = false;\n if (!val) resetInput(cm);\n }\n });\n option(\"disableInput\", false, function(cm, val) {if (!val) resetInput(cm);}, true);\n option(\"dragDrop\", true);\n\n option(\"cursorBlinkRate\", 530);\n option(\"cursorScrollMargin\", 0);\n option(\"cursorHeight\", 1);\n option(\"workTime\", 100);\n option(\"workDelay\", 100);\n option(\"flattenSpans\", true, resetModeState, true);\n option(\"addModeClass\", false, resetModeState, true);\n option(\"pollInterval\", 100);\n option(\"undoDepth\", 200, function(cm, val){cm.doc.history.undoDepth = val;});\n option(\"historyEventDelay\", 1250);\n option(\"viewportMargin\", 10, function(cm){cm.refresh();}, true);\n option(\"maxHighlightLength\", 10000, resetModeState, true);\n option(\"moveInputWithCursor\", true, function(cm, val) {\n if (!val) cm.display.inputDiv.style.top = cm.display.inputDiv.style.left = 0;\n });\n\n option(\"tabindex\", null, function(cm, val) {\n cm.display.input.tabIndex = val || \"\";\n });\n option(\"autofocus\", null);\n\n // MODE DEFINITION AND QUERYING\n\n // Known modes, by name and by MIME\n var modes = CodeMirror.modes = {}, mimeModes = CodeMirror.mimeModes = {};\n\n // Extra arguments are stored as the mode's dependencies, which is\n // used by (legacy) mechanisms like loadmode.js to automatically\n // load a mode. (Preferred mechanism is the require/define calls.)\n CodeMirror.defineMode = function(name, mode) {\n if (!CodeMirror.defaults.mode && name != \"null\") CodeMirror.defaults.mode = name;\n if (arguments.length > 2) {\n mode.dependencies = [];\n for (var i = 2; i < arguments.length; ++i) mode.dependencies.push(arguments[i]);\n }\n modes[name] = mode;\n };\n\n CodeMirror.defineMIME = function(mime, spec) {\n mimeModes[mime] = spec;\n };\n\n // Given a MIME type, a {name, ...options} config object, or a name\n // string, return a mode config object.\n CodeMirror.resolveMode = function(spec) {\n if (typeof spec == \"string\" && mimeModes.hasOwnProperty(spec)) {\n spec = mimeModes[spec];\n } else if (spec && typeof spec.name == \"string\" && mimeModes.hasOwnProperty(spec.name)) {\n var found = mimeModes[spec.name];\n if (typeof found == \"string\") found = {name: found};\n spec = createObj(found, spec);\n spec.name = found.name;\n } else if (typeof spec == \"string\" && /^[\\w\\-]+\\/[\\w\\-]+\\+xml$/.test(spec)) {\n return CodeMirror.resolveMode(\"application/xml\");\n }\n if (typeof spec == \"string\") return {name: spec};\n else return spec || {name: \"null\"};\n };\n\n // Given a mode spec (anything that resolveMode accepts), find and\n // initialize an actual mode object.\n CodeMirror.getMode = function(options, spec) {\n var spec = CodeMirror.resolveMode(spec);\n var mfactory = modes[spec.name];\n if (!mfactory) return CodeMirror.getMode(options, \"text/plain\");\n var modeObj = mfactory(options, spec);\n if (modeExtensions.hasOwnProperty(spec.name)) {\n var exts = modeExtensions[spec.name];\n for (var prop in exts) {\n if (!exts.hasOwnProperty(prop)) continue;\n if (modeObj.hasOwnProperty(prop)) modeObj[\"_\" + prop] = modeObj[prop];\n modeObj[prop] = exts[prop];\n }\n }\n modeObj.name = spec.name;\n if (spec.helperType) modeObj.helperType = spec.helperType;\n if (spec.modeProps) for (var prop in spec.modeProps)\n modeObj[prop] = spec.modeProps[prop];\n\n return modeObj;\n };\n\n // Minimal default mode.\n CodeMirror.defineMode(\"null\", function() {\n return {token: function(stream) {stream.skipToEnd();}};\n });\n CodeMirror.defineMIME(\"text/plain\", \"null\");\n\n // This can be used to attach properties to mode objects from\n // outside the actual mode definition.\n var modeExtensions = CodeMirror.modeExtensions = {};\n CodeMirror.extendMode = function(mode, properties) {\n var exts = modeExtensions.hasOwnProperty(mode) ? modeExtensions[mode] : (modeExtensions[mode] = {});\n copyObj(properties, exts);\n };\n\n // EXTENSIONS\n\n CodeMirror.defineExtension = function(name, func) {\n CodeMirror.prototype[name] = func;\n };\n CodeMirror.defineDocExtension = function(name, func) {\n Doc.prototype[name] = func;\n };\n CodeMirror.defineOption = option;\n\n var initHooks = [];\n CodeMirror.defineInitHook = function(f) {initHooks.push(f);};\n\n var helpers = CodeMirror.helpers = {};\n CodeMirror.registerHelper = function(type, name, value) {\n if (!helpers.hasOwnProperty(type)) helpers[type] = CodeMirror[type] = {_global: []};\n helpers[type][name] = value;\n };\n CodeMirror.registerGlobalHelper = function(type, name, predicate, value) {\n CodeMirror.registerHelper(type, name, value);\n helpers[type]._global.push({pred: predicate, val: value});\n };\n\n // MODE STATE HANDLING\n\n // Utility functions for working with state. Exported because nested\n // modes need to do this for their inner modes.\n\n var copyState = CodeMirror.copyState = function(mode, state) {\n if (state === true) return state;\n if (mode.copyState) return mode.copyState(state);\n var nstate = {};\n for (var n in state) {\n var val = state[n];\n if (val instanceof Array) val = val.concat([]);\n nstate[n] = val;\n }\n return nstate;\n };\n\n var startState = CodeMirror.startState = function(mode, a1, a2) {\n return mode.startState ? mode.startState(a1, a2) : true;\n };\n\n // Given a mode and a state (for that mode), find the inner mode and\n // state at the position that the state refers to.\n CodeMirror.innerMode = function(mode, state) {\n while (mode.innerMode) {\n var info = mode.innerMode(state);\n if (!info || info.mode == mode) break;\n state = info.state;\n mode = info.mode;\n }\n return info || {mode: mode, state: state};\n };\n\n // STANDARD COMMANDS\n\n // Commands are parameter-less actions that can be performed on an\n // editor, mostly used for keybindings.\n var commands = CodeMirror.commands = {\n selectAll: function(cm) {cm.setSelection(Pos(cm.firstLine(), 0), Pos(cm.lastLine()), sel_dontScroll);},\n singleSelection: function(cm) {\n cm.setSelection(cm.getCursor(\"anchor\"), cm.getCursor(\"head\"), sel_dontScroll);\n },\n killLine: function(cm) {\n deleteNearSelection(cm, function(range) {\n if (range.empty()) {\n var len = getLine(cm.doc, range.head.line).text.length;\n if (range.head.ch == len && range.head.line < cm.lastLine())\n return {from: range.head, to: Pos(range.head.line + 1, 0)};\n else\n return {from: range.head, to: Pos(range.head.line, len)};\n } else {\n return {from: range.from(), to: range.to()};\n }\n });\n },\n deleteLine: function(cm) {\n deleteNearSelection(cm, function(range) {\n return {from: Pos(range.from().line, 0),\n to: clipPos(cm.doc, Pos(range.to().line + 1, 0))};\n });\n },\n delLineLeft: function(cm) {\n deleteNearSelection(cm, function(range) {\n return {from: Pos(range.from().line, 0), to: range.from()};\n });\n },\n undo: function(cm) {cm.undo();},\n redo: function(cm) {cm.redo();},\n undoSelection: function(cm) {cm.undoSelection();},\n redoSelection: function(cm) {cm.redoSelection();},\n goDocStart: function(cm) {cm.extendSelection(Pos(cm.firstLine(), 0));},\n goDocEnd: function(cm) {cm.extendSelection(Pos(cm.lastLine()));},\n goLineStart: function(cm) {\n cm.extendSelectionsBy(function(range) { return lineStart(cm, range.head.line); }, sel_move);\n },\n goLineStartSmart: function(cm) {\n cm.extendSelectionsBy(function(range) {\n var start = lineStart(cm, range.head.line);\n var line = cm.getLineHandle(start.line);\n var order = getOrder(line);\n if (!order || order[0].level == 0) {\n var firstNonWS = Math.max(0, line.text.search(/\\S/));\n var inWS = range.head.line == start.line && range.head.ch <= firstNonWS && range.head.ch;\n return Pos(start.line, inWS ? 0 : firstNonWS);\n }\n return start;\n }, sel_move);\n },\n goLineEnd: function(cm) {\n cm.extendSelectionsBy(function(range) { return lineEnd(cm, range.head.line); }, sel_move);\n },\n goLineRight: function(cm) {\n cm.extendSelectionsBy(function(range) {\n var top = cm.charCoords(range.head, \"div\").top + 5;\n return cm.coordsChar({left: cm.display.lineDiv.offsetWidth + 100, top: top}, \"div\");\n }, sel_move);\n },\n goLineLeft: function(cm) {\n cm.extendSelectionsBy(function(range) {\n var top = cm.charCoords(range.head, \"div\").top + 5;\n return cm.coordsChar({left: 0, top: top}, \"div\");\n }, sel_move);\n },\n goLineUp: function(cm) {cm.moveV(-1, \"line\");},\n goLineDown: function(cm) {cm.moveV(1, \"line\");},\n goPageUp: function(cm) {cm.moveV(-1, \"page\");},\n goPageDown: function(cm) {cm.moveV(1, \"page\");},\n goCharLeft: function(cm) {cm.moveH(-1, \"char\");},\n goCharRight: function(cm) {cm.moveH(1, \"char\");},\n goColumnLeft: function(cm) {cm.moveH(-1, \"column\");},\n goColumnRight: function(cm) {cm.moveH(1, \"column\");},\n goWordLeft: function(cm) {cm.moveH(-1, \"word\");},\n goGroupRight: function(cm) {cm.moveH(1, \"group\");},\n goGroupLeft: function(cm) {cm.moveH(-1, \"group\");},\n goWordRight: function(cm) {cm.moveH(1, \"word\");},\n delCharBefore: function(cm) {cm.deleteH(-1, \"char\");},\n delCharAfter: function(cm) {cm.deleteH(1, \"char\");},\n delWordBefore: function(cm) {cm.deleteH(-1, \"word\");},\n delWordAfter: function(cm) {cm.deleteH(1, \"word\");},\n delGroupBefore: function(cm) {cm.deleteH(-1, \"group\");},\n delGroupAfter: function(cm) {cm.deleteH(1, \"group\");},\n indentAuto: function(cm) {cm.indentSelection(\"smart\");},\n indentMore: function(cm) {cm.indentSelection(\"add\");},\n indentLess: function(cm) {cm.indentSelection(\"subtract\");},\n insertTab: function(cm) {cm.replaceSelection(\"\\t\");},\n insertSoftTab: function(cm) {\n var spaces = [], ranges = cm.listSelections(), tabSize = cm.options.tabSize;\n for (var i = 0; i < ranges.length; i++) {\n var pos = ranges[i].from();\n var col = countColumn(cm.getLine(pos.line), pos.ch, tabSize);\n spaces.push(new Array(tabSize - col % tabSize + 1).join(\" \"));\n }\n cm.replaceSelections(spaces);\n },\n defaultTab: function(cm) {\n if (cm.somethingSelected()) cm.indentSelection(\"add\");\n else cm.execCommand(\"insertTab\");\n },\n transposeChars: function(cm) {\n runInOp(cm, function() {\n var ranges = cm.listSelections(), newSel = [];\n for (var i = 0; i < ranges.length; i++) {\n var cur = ranges[i].head, line = getLine(cm.doc, cur.line).text;\n if (line) {\n if (cur.ch == line.length) cur = new Pos(cur.line, cur.ch - 1);\n if (cur.ch > 0) {\n cur = new Pos(cur.line, cur.ch + 1);\n cm.replaceRange(line.charAt(cur.ch - 1) + line.charAt(cur.ch - 2),\n Pos(cur.line, cur.ch - 2), cur, \"+transpose\");\n } else if (cur.line > cm.doc.first) {\n var prev = getLine(cm.doc, cur.line - 1).text;\n if (prev)\n cm.replaceRange(line.charAt(0) + \"\\n\" + prev.charAt(prev.length - 1),\n Pos(cur.line - 1, prev.length - 1), Pos(cur.line, 1), \"+transpose\");\n }\n }\n newSel.push(new Range(cur, cur));\n }\n cm.setSelections(newSel);\n });\n },\n newlineAndIndent: function(cm) {\n runInOp(cm, function() {\n var len = cm.listSelections().length;\n for (var i = 0; i < len; i++) {\n var range = cm.listSelections()[i];\n cm.replaceRange(\"\\n\", range.anchor, range.head, \"+input\");\n cm.indentLine(range.from().line + 1, null, true);\n ensureCursorVisible(cm);\n }\n });\n },\n toggleOverwrite: function(cm) {cm.toggleOverwrite();}\n };\n\n // STANDARD KEYMAPS\n\n var keyMap = CodeMirror.keyMap = {};\n keyMap.basic = {\n \"Left\": \"goCharLeft\", \"Right\": \"goCharRight\", \"Up\": \"goLineUp\", \"Down\": \"goLineDown\",\n \"End\": \"goLineEnd\", \"Home\": \"goLineStartSmart\", \"PageUp\": \"goPageUp\", \"PageDown\": \"goPageDown\",\n \"Delete\": \"delCharAfter\", \"Backspace\": \"delCharBefore\", \"Shift-Backspace\": \"delCharBefore\",\n \"Tab\": \"defaultTab\", \"Shift-Tab\": \"indentAuto\",\n \"Enter\": \"newlineAndIndent\", \"Insert\": \"toggleOverwrite\",\n \"Esc\": \"singleSelection\"\n };\n // Note that the save and find-related commands aren't defined by\n // default. User code or addons can define them. Unknown commands\n // are simply ignored.\n keyMap.pcDefault = {\n \"Ctrl-A\": \"selectAll\", \"Ctrl-D\": \"deleteLine\", \"Ctrl-Z\": \"undo\", \"Shift-Ctrl-Z\": \"redo\", \"Ctrl-Y\": \"redo\",\n \"Ctrl-Home\": \"goDocStart\", \"Ctrl-Up\": \"goDocStart\", \"Ctrl-End\": \"goDocEnd\", \"Ctrl-Down\": \"goDocEnd\",\n \"Ctrl-Left\": \"goGroupLeft\", \"Ctrl-Right\": \"goGroupRight\", \"Alt-Left\": \"goLineStart\", \"Alt-Right\": \"goLineEnd\",\n \"Ctrl-Backspace\": \"delGroupBefore\", \"Ctrl-Delete\": \"delGroupAfter\", \"Ctrl-S\": \"save\", \"Ctrl-F\": \"find\",\n \"Ctrl-G\": \"findNext\", \"Shift-Ctrl-G\": \"findPrev\", \"Shift-Ctrl-F\": \"replace\", \"Shift-Ctrl-R\": \"replaceAll\",\n \"Ctrl-[\": \"indentLess\", \"Ctrl-]\": \"indentMore\",\n \"Ctrl-U\": \"undoSelection\", \"Shift-Ctrl-U\": \"redoSelection\", \"Alt-U\": \"redoSelection\",\n fallthrough: \"basic\"\n };\n keyMap.macDefault = {\n \"Cmd-A\": \"selectAll\", \"Cmd-D\": \"deleteLine\", \"Cmd-Z\": \"undo\", \"Shift-Cmd-Z\": \"redo\", \"Cmd-Y\": \"redo\",\n \"Cmd-Up\": \"goDocStart\", \"Cmd-End\": \"goDocEnd\", \"Cmd-Down\": \"goDocEnd\", \"Alt-Left\": \"goGroupLeft\",\n \"Alt-Right\": \"goGroupRight\", \"Cmd-Left\": \"goLineStart\", \"Cmd-Right\": \"goLineEnd\", \"Alt-Backspace\": \"delGroupBefore\",\n \"Ctrl-Alt-Backspace\": \"delGroupAfter\", \"Alt-Delete\": \"delGroupAfter\", \"Cmd-S\": \"save\", \"Cmd-F\": \"find\",\n \"Cmd-G\": \"findNext\", \"Shift-Cmd-G\": \"findPrev\", \"Cmd-Alt-F\": \"replace\", \"Shift-Cmd-Alt-F\": \"replaceAll\",\n \"Cmd-[\": \"indentLess\", \"Cmd-]\": \"indentMore\", \"Cmd-Backspace\": \"delLineLeft\",\n \"Cmd-U\": \"undoSelection\", \"Shift-Cmd-U\": \"redoSelection\",\n fallthrough: [\"basic\", \"emacsy\"]\n };\n // Very basic readline/emacs-style bindings, which are standard on Mac.\n keyMap.emacsy = {\n \"Ctrl-F\": \"goCharRight\", \"Ctrl-B\": \"goCharLeft\", \"Ctrl-P\": \"goLineUp\", \"Ctrl-N\": \"goLineDown\",\n \"Alt-F\": \"goWordRight\", \"Alt-B\": \"goWordLeft\", \"Ctrl-A\": \"goLineStart\", \"Ctrl-E\": \"goLineEnd\",\n \"Ctrl-V\": \"goPageDown\", \"Shift-Ctrl-V\": \"goPageUp\", \"Ctrl-D\": \"delCharAfter\", \"Ctrl-H\": \"delCharBefore\",\n \"Alt-D\": \"delWordAfter\", \"Alt-Backspace\": \"delWordBefore\", \"Ctrl-K\": \"killLine\", \"Ctrl-T\": \"transposeChars\"\n };\n keyMap[\"default\"] = mac ? keyMap.macDefault : keyMap.pcDefault;\n\n // KEYMAP DISPATCH\n\n function getKeyMap(val) {\n if (typeof val == \"string\") return keyMap[val];\n else return val;\n }\n\n // Given an array of keymaps and a key name, call handle on any\n // bindings found, until that returns a truthy value, at which point\n // we consider the key handled. Implements things like binding a key\n // to false stopping further handling and keymap fallthrough.\n var lookupKey = CodeMirror.lookupKey = function(name, maps, handle) {\n function lookup(map) {\n map = getKeyMap(map);\n var found = map[name];\n if (found === false) return \"stop\";\n if (found != null && handle(found)) return true;\n if (map.nofallthrough) return \"stop\";\n\n var fallthrough = map.fallthrough;\n if (fallthrough == null) return false;\n if (Object.prototype.toString.call(fallthrough) != \"[object Array]\")\n return lookup(fallthrough);\n for (var i = 0; i < fallthrough.length; ++i) {\n var done = lookup(fallthrough[i]);\n if (done) return done;\n }\n return false;\n }\n\n for (var i = 0; i < maps.length; ++i) {\n var done = lookup(maps[i]);\n if (done) return done != \"stop\";\n }\n };\n\n // Modifier key presses don't count as 'real' key presses for the\n // purpose of keymap fallthrough.\n var isModifierKey = CodeMirror.isModifierKey = function(event) {\n var name = keyNames[event.keyCode];\n return name == \"Ctrl\" || name == \"Alt\" || name == \"Shift\" || name == \"Mod\";\n };\n\n // Look up the name of a key as indicated by an event object.\n var keyName = CodeMirror.keyName = function(event, noShift) {\n if (presto && event.keyCode == 34 && event[\"char\"]) return false;\n var name = keyNames[event.keyCode];\n if (name == null || event.altGraphKey) return false;\n if (event.altKey) name = \"Alt-\" + name;\n if (flipCtrlCmd ? event.metaKey : event.ctrlKey) name = \"Ctrl-\" + name;\n if (flipCtrlCmd ? event.ctrlKey : event.metaKey) name = \"Cmd-\" + name;\n if (!noShift && event.shiftKey) name = \"Shift-\" + name;\n return name;\n };\n\n // FROMTEXTAREA\n\n CodeMirror.fromTextArea = function(textarea, options) {\n if (!options) options = {};\n options.value = textarea.value;\n if (!options.tabindex && textarea.tabindex)\n options.tabindex = textarea.tabindex;\n if (!options.placeholder && textarea.placeholder)\n options.placeholder = textarea.placeholder;\n // Set autofocus to true if this textarea is focused, or if it has\n // autofocus and no other element is focused.\n if (options.autofocus == null) {\n var hasFocus = activeElt();\n options.autofocus = hasFocus == textarea ||\n textarea.getAttribute(\"autofocus\") != null && hasFocus == document.body;\n }\n\n function save() {textarea.value = cm.getValue();}\n if (textarea.form) {\n on(textarea.form, \"submit\", save);\n // Deplorable hack to make the submit method do the right thing.\n if (!options.leaveSubmitMethodAlone) {\n var form = textarea.form, realSubmit = form.submit;\n try {\n var wrappedSubmit = form.submit = function() {\n save();\n form.submit = realSubmit;\n form.submit();\n form.submit = wrappedSubmit;\n };\n } catch(e) {}\n }\n }\n\n textarea.style.display = \"none\";\n var cm = CodeMirror(function(node) {\n textarea.parentNode.insertBefore(node, textarea.nextSibling);\n }, options);\n cm.save = save;\n cm.getTextArea = function() { return textarea; };\n cm.toTextArea = function() {\n save();\n textarea.parentNode.removeChild(cm.getWrapperElement());\n textarea.style.display = \"\";\n if (textarea.form) {\n off(textarea.form, \"submit\", save);\n if (typeof textarea.form.submit == \"function\")\n textarea.form.submit = realSubmit;\n }\n };\n return cm;\n };\n\n // STRING STREAM\n\n // Fed to the mode parsers, provides helper functions to make\n // parsers more succinct.\n\n var StringStream = CodeMirror.StringStream = function(string, tabSize) {\n this.pos = this.start = 0;\n this.string = string;\n this.tabSize = tabSize || 8;\n this.lastColumnPos = this.lastColumnValue = 0;\n this.lineStart = 0;\n };\n\n StringStream.prototype = {\n eol: function() {return this.pos >= this.string.length;},\n sol: function() {return this.pos == this.lineStart;},\n peek: function() {return this.string.charAt(this.pos) || undefined;},\n next: function() {\n if (this.pos < this.string.length)\n return this.string.charAt(this.pos++);\n },\n eat: function(match) {\n var ch = this.string.charAt(this.pos);\n if (typeof match == \"string\") var ok = ch == match;\n else var ok = ch && (match.test ? match.test(ch) : match(ch));\n if (ok) {++this.pos; return ch;}\n },\n eatWhile: function(match) {\n var start = this.pos;\n while (this.eat(match)){}\n return this.pos > start;\n },\n eatSpace: function() {\n var start = this.pos;\n while (/[\\s\\u00a0]/.test(this.string.charAt(this.pos))) ++this.pos;\n return this.pos > start;\n },\n skipToEnd: function() {this.pos = this.string.length;},\n skipTo: function(ch) {\n var found = this.string.indexOf(ch, this.pos);\n if (found > -1) {this.pos = found; return true;}\n },\n backUp: function(n) {this.pos -= n;},\n column: function() {\n if (this.lastColumnPos < this.start) {\n this.lastColumnValue = countColumn(this.string, this.start, this.tabSize, this.lastColumnPos, this.lastColumnValue);\n this.lastColumnPos = this.start;\n }\n return this.lastColumnValue - (this.lineStart ? countColumn(this.string, this.lineStart, this.tabSize) : 0);\n },\n indentation: function() {\n return countColumn(this.string, null, this.tabSize) -\n (this.lineStart ? countColumn(this.string, this.lineStart, this.tabSize) : 0);\n },\n match: function(pattern, consume, caseInsensitive) {\n if (typeof pattern == \"string\") {\n var cased = function(str) {return caseInsensitive ? str.toLowerCase() : str;};\n var substr = this.string.substr(this.pos, pattern.length);\n if (cased(substr) == cased(pattern)) {\n if (consume !== false) this.pos += pattern.length;\n return true;\n }\n } else {\n var match = this.string.slice(this.pos).match(pattern);\n if (match && match.index > 0) return null;\n if (match && consume !== false) this.pos += match[0].length;\n return match;\n }\n },\n current: function(){return this.string.slice(this.start, this.pos);},\n hideFirstChars: function(n, inner) {\n this.lineStart += n;\n try { return inner(); }\n finally { this.lineStart -= n; }\n }\n };\n\n // TEXTMARKERS\n\n // Created with markText and setBookmark methods. A TextMarker is a\n // handle that can be used to clear or find a marked position in the\n // document. Line objects hold arrays (markedSpans) containing\n // {from, to, marker} object pointing to such marker objects, and\n // indicating that such a marker is present on that line. Multiple\n // lines may point to the same marker when it spans across lines.\n // The spans will have null for their from/to properties when the\n // marker continues beyond the start/end of the line. Markers have\n // links back to the lines they currently touch.\n\n var TextMarker = CodeMirror.TextMarker = function(doc, type) {\n this.lines = [];\n this.type = type;\n this.doc = doc;\n };\n eventMixin(TextMarker);\n\n // Clear the marker.\n TextMarker.prototype.clear = function() {\n if (this.explicitlyCleared) return;\n var cm = this.doc.cm, withOp = cm && !cm.curOp;\n if (withOp) startOperation(cm);\n if (hasHandler(this, \"clear\")) {\n var found = this.find();\n if (found) signalLater(this, \"clear\", found.from, found.to);\n }\n var min = null, max = null;\n for (var i = 0; i < this.lines.length; ++i) {\n var line = this.lines[i];\n var span = getMarkedSpanFor(line.markedSpans, this);\n if (cm && !this.collapsed) regLineChange(cm, lineNo(line), \"text\");\n else if (cm) {\n if (span.to != null) max = lineNo(line);\n if (span.from != null) min = lineNo(line);\n }\n line.markedSpans = removeMarkedSpan(line.markedSpans, span);\n if (span.from == null && this.collapsed && !lineIsHidden(this.doc, line) && cm)\n updateLineHeight(line, textHeight(cm.display));\n }\n if (cm && this.collapsed && !cm.options.lineWrapping) for (var i = 0; i < this.lines.length; ++i) {\n var visual = visualLine(this.lines[i]), len = lineLength(visual);\n if (len > cm.display.maxLineLength) {\n cm.display.maxLine = visual;\n cm.display.maxLineLength = len;\n cm.display.maxLineChanged = true;\n }\n }\n\n if (min != null && cm && this.collapsed) regChange(cm, min, max + 1);\n this.lines.length = 0;\n this.explicitlyCleared = true;\n if (this.atomic && this.doc.cantEdit) {\n this.doc.cantEdit = false;\n if (cm) reCheckSelection(cm.doc);\n }\n if (cm) signalLater(cm, \"markerCleared\", cm, this);\n if (withOp) endOperation(cm);\n if (this.parent) this.parent.clear();\n };\n\n // Find the position of the marker in the document. Returns a {from,\n // to} object by default. Side can be passed to get a specific side\n // -- 0 (both), -1 (left), or 1 (right). When lineObj is true, the\n // Pos objects returned contain a line object, rather than a line\n // number (used to prevent looking up the same line twice).\n TextMarker.prototype.find = function(side, lineObj) {\n if (side == null && this.type == \"bookmark\") side = 1;\n var from, to;\n for (var i = 0; i < this.lines.length; ++i) {\n var line = this.lines[i];\n var span = getMarkedSpanFor(line.markedSpans, this);\n if (span.from != null) {\n from = Pos(lineObj ? line : lineNo(line), span.from);\n if (side == -1) return from;\n }\n if (span.to != null) {\n to = Pos(lineObj ? line : lineNo(line), span.to);\n if (side == 1) return to;\n }\n }\n return from && {from: from, to: to};\n };\n\n // Signals that the marker's widget changed, and surrounding layout\n // should be recomputed.\n TextMarker.prototype.changed = function() {\n var pos = this.find(-1, true), widget = this, cm = this.doc.cm;\n if (!pos || !cm) return;\n runInOp(cm, function() {\n var line = pos.line, lineN = lineNo(pos.line);\n var view = findViewForLine(cm, lineN);\n if (view) {\n clearLineMeasurementCacheFor(view);\n cm.curOp.selectionChanged = cm.curOp.forceUpdate = true;\n }\n cm.curOp.updateMaxLine = true;\n if (!lineIsHidden(widget.doc, line) && widget.height != null) {\n var oldHeight = widget.height;\n widget.height = null;\n var dHeight = widgetHeight(widget) - oldHeight;\n if (dHeight)\n updateLineHeight(line, line.height + dHeight);\n }\n });\n };\n\n TextMarker.prototype.attachLine = function(line) {\n if (!this.lines.length && this.doc.cm) {\n var op = this.doc.cm.curOp;\n if (!op.maybeHiddenMarkers || indexOf(op.maybeHiddenMarkers, this) == -1)\n (op.maybeUnhiddenMarkers || (op.maybeUnhiddenMarkers = [])).push(this);\n }\n this.lines.push(line);\n };\n TextMarker.prototype.detachLine = function(line) {\n this.lines.splice(indexOf(this.lines, line), 1);\n if (!this.lines.length && this.doc.cm) {\n var op = this.doc.cm.curOp;\n (op.maybeHiddenMarkers || (op.maybeHiddenMarkers = [])).push(this);\n }\n };\n\n // Collapsed markers have unique ids, in order to be able to order\n // them, which is needed for uniquely determining an outer marker\n // when they overlap (they may nest, but not partially overlap).\n var nextMarkerId = 0;\n\n // Create a marker, wire it up to the right lines, and\n function markText(doc, from, to, options, type) {\n // Shared markers (across linked documents) are handled separately\n // (markTextShared will call out to this again, once per\n // document).\n if (options && options.shared) return markTextShared(doc, from, to, options, type);\n // Ensure we are in an operation.\n if (doc.cm && !doc.cm.curOp) return operation(doc.cm, markText)(doc, from, to, options, type);\n\n var marker = new TextMarker(doc, type), diff = cmp(from, to);\n if (options) copyObj(options, marker, false);\n // Don't connect empty markers unless clearWhenEmpty is false\n if (diff > 0 || diff == 0 && marker.clearWhenEmpty !== false)\n return marker;\n if (marker.replacedWith) {\n // Showing up as a widget implies collapsed (widget replaces text)\n marker.collapsed = true;\n marker.widgetNode = elt(\"span\", [marker.replacedWith], \"CodeMirror-widget\");\n if (!options.handleMouseEvents) marker.widgetNode.ignoreEvents = true;\n if (options.insertLeft) marker.widgetNode.insertLeft = true;\n }\n if (marker.collapsed) {\n if (conflictingCollapsedRange(doc, from.line, from, to, marker) ||\n from.line != to.line && conflictingCollapsedRange(doc, to.line, from, to, marker))\n throw new Error(\"Inserting collapsed marker partially overlapping an existing one\");\n sawCollapsedSpans = true;\n }\n\n if (marker.addToHistory)\n addChangeToHistory(doc, {from: from, to: to, origin: \"markText\"}, doc.sel, NaN);\n\n var curLine = from.line, cm = doc.cm, updateMaxLine;\n doc.iter(curLine, to.line + 1, function(line) {\n if (cm && marker.collapsed && !cm.options.lineWrapping && visualLine(line) == cm.display.maxLine)\n updateMaxLine = true;\n if (marker.collapsed && curLine != from.line) updateLineHeight(line, 0);\n addMarkedSpan(line, new MarkedSpan(marker,\n curLine == from.line ? from.ch : null,\n curLine == to.line ? to.ch : null));\n ++curLine;\n });\n // lineIsHidden depends on the presence of the spans, so needs a second pass\n if (marker.collapsed) doc.iter(from.line, to.line + 1, function(line) {\n if (lineIsHidden(doc, line)) updateLineHeight(line, 0);\n });\n\n if (marker.clearOnEnter) on(marker, \"beforeCursorEnter\", function() { marker.clear(); });\n\n if (marker.readOnly) {\n sawReadOnlySpans = true;\n if (doc.history.done.length || doc.history.undone.length)\n doc.clearHistory();\n }\n if (marker.collapsed) {\n marker.id = ++nextMarkerId;\n marker.atomic = true;\n }\n if (cm) {\n // Sync editor state\n if (updateMaxLine) cm.curOp.updateMaxLine = true;\n if (marker.collapsed)\n regChange(cm, from.line, to.line + 1);\n else if (marker.className || marker.title || marker.startStyle || marker.endStyle)\n for (var i = from.line; i <= to.line; i++) regLineChange(cm, i, \"text\");\n if (marker.atomic) reCheckSelection(cm.doc);\n signalLater(cm, \"markerAdded\", cm, marker);\n }\n return marker;\n }\n\n // SHARED TEXTMARKERS\n\n // A shared marker spans multiple linked documents. It is\n // implemented as a meta-marker-object controlling multiple normal\n // markers.\n var SharedTextMarker = CodeMirror.SharedTextMarker = function(markers, primary) {\n this.markers = markers;\n this.primary = primary;\n for (var i = 0; i < markers.length; ++i)\n markers[i].parent = this;\n };\n eventMixin(SharedTextMarker);\n\n SharedTextMarker.prototype.clear = function() {\n if (this.explicitlyCleared) return;\n this.explicitlyCleared = true;\n for (var i = 0; i < this.markers.length; ++i)\n this.markers[i].clear();\n signalLater(this, \"clear\");\n };\n SharedTextMarker.prototype.find = function(side, lineObj) {\n return this.primary.find(side, lineObj);\n };\n\n function markTextShared(doc, from, to, options, type) {\n options = copyObj(options);\n options.shared = false;\n var markers = [markText(doc, from, to, options, type)], primary = markers[0];\n var widget = options.widgetNode;\n linkedDocs(doc, function(doc) {\n if (widget) options.widgetNode = widget.cloneNode(true);\n markers.push(markText(doc, clipPos(doc, from), clipPos(doc, to), options, type));\n for (var i = 0; i < doc.linked.length; ++i)\n if (doc.linked[i].isParent) return;\n primary = lst(markers);\n });\n return new SharedTextMarker(markers, primary);\n }\n\n function findSharedMarkers(doc) {\n return doc.findMarks(Pos(doc.first, 0), doc.clipPos(Pos(doc.lastLine())),\n function(m) { return m.parent; });\n }\n\n function copySharedMarkers(doc, markers) {\n for (var i = 0; i < markers.length; i++) {\n var marker = markers[i], pos = marker.find();\n var mFrom = doc.clipPos(pos.from), mTo = doc.clipPos(pos.to);\n if (cmp(mFrom, mTo)) {\n var subMark = markText(doc, mFrom, mTo, marker.primary, marker.primary.type);\n marker.markers.push(subMark);\n subMark.parent = marker;\n }\n }\n }\n\n function detachSharedMarkers(markers) {\n for (var i = 0; i < markers.length; i++) {\n var marker = markers[i], linked = [marker.primary.doc];;\n linkedDocs(marker.primary.doc, function(d) { linked.push(d); });\n for (var j = 0; j < marker.markers.length; j++) {\n var subMarker = marker.markers[j];\n if (indexOf(linked, subMarker.doc) == -1) {\n subMarker.parent = null;\n marker.markers.splice(j--, 1);\n }\n }\n }\n }\n\n // TEXTMARKER SPANS\n\n function MarkedSpan(marker, from, to) {\n this.marker = marker;\n this.from = from; this.to = to;\n }\n\n // Search an array of spans for a span matching the given marker.\n function getMarkedSpanFor(spans, marker) {\n if (spans) for (var i = 0; i < spans.length; ++i) {\n var span = spans[i];\n if (span.marker == marker) return span;\n }\n }\n // Remove a span from an array, returning undefined if no spans are\n // left (we don't store arrays for lines without spans).\n function removeMarkedSpan(spans, span) {\n for (var r, i = 0; i < spans.length; ++i)\n if (spans[i] != span) (r || (r = [])).push(spans[i]);\n return r;\n }\n // Add a span to a line.\n function addMarkedSpan(line, span) {\n line.markedSpans = line.markedSpans ? line.markedSpans.concat([span]) : [span];\n span.marker.attachLine(line);\n }\n\n // Used for the algorithm that adjusts markers for a change in the\n // document. These functions cut an array of spans at a given\n // character position, returning an array of remaining chunks (or\n // undefined if nothing remains).\n function markedSpansBefore(old, startCh, isInsert) {\n if (old) for (var i = 0, nw; i < old.length; ++i) {\n var span = old[i], marker = span.marker;\n var startsBefore = span.from == null || (marker.inclusiveLeft ? span.from <= startCh : span.from < startCh);\n if (startsBefore || span.from == startCh && marker.type == \"bookmark\" && (!isInsert || !span.marker.insertLeft)) {\n var endsAfter = span.to == null || (marker.inclusiveRight ? span.to >= startCh : span.to > startCh);\n (nw || (nw = [])).push(new MarkedSpan(marker, span.from, endsAfter ? null : span.to));\n }\n }\n return nw;\n }\n function markedSpansAfter(old, endCh, isInsert) {\n if (old) for (var i = 0, nw; i < old.length; ++i) {\n var span = old[i], marker = span.marker;\n var endsAfter = span.to == null || (marker.inclusiveRight ? span.to >= endCh : span.to > endCh);\n if (endsAfter || span.from == endCh && marker.type == \"bookmark\" && (!isInsert || span.marker.insertLeft)) {\n var startsBefore = span.from == null || (marker.inclusiveLeft ? span.from <= endCh : span.from < endCh);\n (nw || (nw = [])).push(new MarkedSpan(marker, startsBefore ? null : span.from - endCh,\n span.to == null ? null : span.to - endCh));\n }\n }\n return nw;\n }\n\n // Given a change object, compute the new set of marker spans that\n // cover the line in which the change took place. Removes spans\n // entirely within the change, reconnects spans belonging to the\n // same marker that appear on both sides of the change, and cuts off\n // spans partially within the change. Returns an array of span\n // arrays with one element for each line in (after) the change.\n function stretchSpansOverChange(doc, change) {\n var oldFirst = isLine(doc, change.from.line) && getLine(doc, change.from.line).markedSpans;\n var oldLast = isLine(doc, change.to.line) && getLine(doc, change.to.line).markedSpans;\n if (!oldFirst && !oldLast) return null;\n\n var startCh = change.from.ch, endCh = change.to.ch, isInsert = cmp(change.from, change.to) == 0;\n // Get the spans that 'stick out' on both sides\n var first = markedSpansBefore(oldFirst, startCh, isInsert);\n var last = markedSpansAfter(oldLast, endCh, isInsert);\n\n // Next, merge those two ends\n var sameLine = change.text.length == 1, offset = lst(change.text).length + (sameLine ? startCh : 0);\n if (first) {\n // Fix up .to properties of first\n for (var i = 0; i < first.length; ++i) {\n var span = first[i];\n if (span.to == null) {\n var found = getMarkedSpanFor(last, span.marker);\n if (!found) span.to = startCh;\n else if (sameLine) span.to = found.to == null ? null : found.to + offset;\n }\n }\n }\n if (last) {\n // Fix up .from in last (or move them into first in case of sameLine)\n for (var i = 0; i < last.length; ++i) {\n var span = last[i];\n if (span.to != null) span.to += offset;\n if (span.from == null) {\n var found = getMarkedSpanFor(first, span.marker);\n if (!found) {\n span.from = offset;\n if (sameLine) (first || (first = [])).push(span);\n }\n } else {\n span.from += offset;\n if (sameLine) (first || (first = [])).push(span);\n }\n }\n }\n // Make sure we didn't create any zero-length spans\n if (first) first = clearEmptySpans(first);\n if (last && last != first) last = clearEmptySpans(last);\n\n var newMarkers = [first];\n if (!sameLine) {\n // Fill gap with whole-line-spans\n var gap = change.text.length - 2, gapMarkers;\n if (gap > 0 && first)\n for (var i = 0; i < first.length; ++i)\n if (first[i].to == null)\n (gapMarkers || (gapMarkers = [])).push(new MarkedSpan(first[i].marker, null, null));\n for (var i = 0; i < gap; ++i)\n newMarkers.push(gapMarkers);\n newMarkers.push(last);\n }\n return newMarkers;\n }\n\n // Remove spans that are empty and don't have a clearWhenEmpty\n // option of false.\n function clearEmptySpans(spans) {\n for (var i = 0; i < spans.length; ++i) {\n var span = spans[i];\n if (span.from != null && span.from == span.to && span.marker.clearWhenEmpty !== false)\n spans.splice(i--, 1);\n }\n if (!spans.length) return null;\n return spans;\n }\n\n // Used for un/re-doing changes from the history. Combines the\n // result of computing the existing spans with the set of spans that\n // existed in the history (so that deleting around a span and then\n // undoing brings back the span).\n function mergeOldSpans(doc, change) {\n var old = getOldSpans(doc, change);\n var stretched = stretchSpansOverChange(doc, change);\n if (!old) return stretched;\n if (!stretched) return old;\n\n for (var i = 0; i < old.length; ++i) {\n var oldCur = old[i], stretchCur = stretched[i];\n if (oldCur && stretchCur) {\n spans: for (var j = 0; j < stretchCur.length; ++j) {\n var span = stretchCur[j];\n for (var k = 0; k < oldCur.length; ++k)\n if (oldCur[k].marker == span.marker) continue spans;\n oldCur.push(span);\n }\n } else if (stretchCur) {\n old[i] = stretchCur;\n }\n }\n return old;\n }\n\n // Used to 'clip' out readOnly ranges when making a change.\n function removeReadOnlyRanges(doc, from, to) {\n var markers = null;\n doc.iter(from.line, to.line + 1, function(line) {\n if (line.markedSpans) for (var i = 0; i < line.markedSpans.length; ++i) {\n var mark = line.markedSpans[i].marker;\n if (mark.readOnly && (!markers || indexOf(markers, mark) == -1))\n (markers || (markers = [])).push(mark);\n }\n });\n if (!markers) return null;\n var parts = [{from: from, to: to}];\n for (var i = 0; i < markers.length; ++i) {\n var mk = markers[i], m = mk.find(0);\n for (var j = 0; j < parts.length; ++j) {\n var p = parts[j];\n if (cmp(p.to, m.from) < 0 || cmp(p.from, m.to) > 0) continue;\n var newParts = [j, 1], dfrom = cmp(p.from, m.from), dto = cmp(p.to, m.to);\n if (dfrom < 0 || !mk.inclusiveLeft && !dfrom)\n newParts.push({from: p.from, to: m.from});\n if (dto > 0 || !mk.inclusiveRight && !dto)\n newParts.push({from: m.to, to: p.to});\n parts.splice.apply(parts, newParts);\n j += newParts.length - 1;\n }\n }\n return parts;\n }\n\n // Connect or disconnect spans from a line.\n function detachMarkedSpans(line) {\n var spans = line.markedSpans;\n if (!spans) return;\n for (var i = 0; i < spans.length; ++i)\n spans[i].marker.detachLine(line);\n line.markedSpans = null;\n }\n function attachMarkedSpans(line, spans) {\n if (!spans) return;\n for (var i = 0; i < spans.length; ++i)\n spans[i].marker.attachLine(line);\n line.markedSpans = spans;\n }\n\n // Helpers used when computing which overlapping collapsed span\n // counts as the larger one.\n function extraLeft(marker) { return marker.inclusiveLeft ? -1 : 0; }\n function extraRight(marker) { return marker.inclusiveRight ? 1 : 0; }\n\n // Returns a number indicating which of two overlapping collapsed\n // spans is larger (and thus includes the other). Falls back to\n // comparing ids when the spans cover exactly the same range.\n function compareCollapsedMarkers(a, b) {\n var lenDiff = a.lines.length - b.lines.length;\n if (lenDiff != 0) return lenDiff;\n var aPos = a.find(), bPos = b.find();\n var fromCmp = cmp(aPos.from, bPos.from) || extraLeft(a) - extraLeft(b);\n if (fromCmp) return -fromCmp;\n var toCmp = cmp(aPos.to, bPos.to) || extraRight(a) - extraRight(b);\n if (toCmp) return toCmp;\n return b.id - a.id;\n }\n\n // Find out whether a line ends or starts in a collapsed span. If\n // so, return the marker for that span.\n function collapsedSpanAtSide(line, start) {\n var sps = sawCollapsedSpans && line.markedSpans, found;\n if (sps) for (var sp, i = 0; i < sps.length; ++i) {\n sp = sps[i];\n if (sp.marker.collapsed && (start ? sp.from : sp.to) == null &&\n (!found || compareCollapsedMarkers(found, sp.marker) < 0))\n found = sp.marker;\n }\n return found;\n }\n function collapsedSpanAtStart(line) { return collapsedSpanAtSide(line, true); }\n function collapsedSpanAtEnd(line) { return collapsedSpanAtSide(line, false); }\n\n // Test whether there exists a collapsed span that partially\n // overlaps (covers the start or end, but not both) of a new span.\n // Such overlap is not allowed.\n function conflictingCollapsedRange(doc, lineNo, from, to, marker) {\n var line = getLine(doc, lineNo);\n var sps = sawCollapsedSpans && line.markedSpans;\n if (sps) for (var i = 0; i < sps.length; ++i) {\n var sp = sps[i];\n if (!sp.marker.collapsed) continue;\n var found = sp.marker.find(0);\n var fromCmp = cmp(found.from, from) || extraLeft(sp.marker) - extraLeft(marker);\n var toCmp = cmp(found.to, to) || extraRight(sp.marker) - extraRight(marker);\n if (fromCmp >= 0 && toCmp <= 0 || fromCmp <= 0 && toCmp >= 0) continue;\n if (fromCmp <= 0 && (cmp(found.to, from) || extraRight(sp.marker) - extraLeft(marker)) > 0 ||\n fromCmp >= 0 && (cmp(found.from, to) || extraLeft(sp.marker) - extraRight(marker)) < 0)\n return true;\n }\n }\n\n // A visual line is a line as drawn on the screen. Folding, for\n // example, can cause multiple logical lines to appear on the same\n // visual line. This finds the start of the visual line that the\n // given line is part of (usually that is the line itself).\n function visualLine(line) {\n var merged;\n while (merged = collapsedSpanAtStart(line))\n line = merged.find(-1, true).line;\n return line;\n }\n\n // Returns an array of logical lines that continue the visual line\n // started by the argument, or undefined if there are no such lines.\n function visualLineContinued(line) {\n var merged, lines;\n while (merged = collapsedSpanAtEnd(line)) {\n line = merged.find(1, true).line;\n (lines || (lines = [])).push(line);\n }\n return lines;\n }\n\n // Get the line number of the start of the visual line that the\n // given line number is part of.\n function visualLineNo(doc, lineN) {\n var line = getLine(doc, lineN), vis = visualLine(line);\n if (line == vis) return lineN;\n return lineNo(vis);\n }\n // Get the line number of the start of the next visual line after\n // the given line.\n function visualLineEndNo(doc, lineN) {\n if (lineN > doc.lastLine()) return lineN;\n var line = getLine(doc, lineN), merged;\n if (!lineIsHidden(doc, line)) return lineN;\n while (merged = collapsedSpanAtEnd(line))\n line = merged.find(1, true).line;\n return lineNo(line) + 1;\n }\n\n // Compute whether a line is hidden. Lines count as hidden when they\n // are part of a visual line that starts with another line, or when\n // they are entirely covered by collapsed, non-widget span.\n function lineIsHidden(doc, line) {\n var sps = sawCollapsedSpans && line.markedSpans;\n if (sps) for (var sp, i = 0; i < sps.length; ++i) {\n sp = sps[i];\n if (!sp.marker.collapsed) continue;\n if (sp.from == null) return true;\n if (sp.marker.widgetNode) continue;\n if (sp.from == 0 && sp.marker.inclusiveLeft && lineIsHiddenInner(doc, line, sp))\n return true;\n }\n }\n function lineIsHiddenInner(doc, line, span) {\n if (span.to == null) {\n var end = span.marker.find(1, true);\n return lineIsHiddenInner(doc, end.line, getMarkedSpanFor(end.line.markedSpans, span.marker));\n }\n if (span.marker.inclusiveRight && span.to == line.text.length)\n return true;\n for (var sp, i = 0; i < line.markedSpans.length; ++i) {\n sp = line.markedSpans[i];\n if (sp.marker.collapsed && !sp.marker.widgetNode && sp.from == span.to &&\n (sp.to == null || sp.to != span.from) &&\n (sp.marker.inclusiveLeft || span.marker.inclusiveRight) &&\n lineIsHiddenInner(doc, line, sp)) return true;\n }\n }\n\n // LINE WIDGETS\n\n // Line widgets are block elements displayed above or below a line.\n\n var LineWidget = CodeMirror.LineWidget = function(cm, node, options) {\n if (options) for (var opt in options) if (options.hasOwnProperty(opt))\n this[opt] = options[opt];\n this.cm = cm;\n this.node = node;\n };\n eventMixin(LineWidget);\n\n function adjustScrollWhenAboveVisible(cm, line, diff) {\n if (heightAtLine(line) < ((cm.curOp && cm.curOp.scrollTop) || cm.doc.scrollTop))\n addToScrollPos(cm, null, diff);\n }\n\n LineWidget.prototype.clear = function() {\n var cm = this.cm, ws = this.line.widgets, line = this.line, no = lineNo(line);\n if (no == null || !ws) return;\n for (var i = 0; i < ws.length; ++i) if (ws[i] == this) ws.splice(i--, 1);\n if (!ws.length) line.widgets = null;\n var height = widgetHeight(this);\n runInOp(cm, function() {\n adjustScrollWhenAboveVisible(cm, line, -height);\n regLineChange(cm, no, \"widget\");\n updateLineHeight(line, Math.max(0, line.height - height));\n });\n };\n LineWidget.prototype.changed = function() {\n var oldH = this.height, cm = this.cm, line = this.line;\n this.height = null;\n var diff = widgetHeight(this) - oldH;\n if (!diff) return;\n runInOp(cm, function() {\n cm.curOp.forceUpdate = true;\n adjustScrollWhenAboveVisible(cm, line, diff);\n updateLineHeight(line, line.height + diff);\n });\n };\n\n function widgetHeight(widget) {\n if (widget.height != null) return widget.height;\n if (!contains(document.body, widget.node))\n removeChildrenAndAdd(widget.cm.display.measure, elt(\"div\", [widget.node], null, \"position: relative\"));\n return widget.height = widget.node.offsetHeight;\n }\n\n function addLineWidget(cm, handle, node, options) {\n var widget = new LineWidget(cm, node, options);\n if (widget.noHScroll) cm.display.alignWidgets = true;\n changeLine(cm, handle, \"widget\", function(line) {\n var widgets = line.widgets || (line.widgets = []);\n if (widget.insertAt == null) widgets.push(widget);\n else widgets.splice(Math.min(widgets.length - 1, Math.max(0, widget.insertAt)), 0, widget);\n widget.line = line;\n if (!lineIsHidden(cm.doc, line)) {\n var aboveVisible = heightAtLine(line) < cm.doc.scrollTop;\n updateLineHeight(line, line.height + widgetHeight(widget));\n if (aboveVisible) addToScrollPos(cm, null, widget.height);\n cm.curOp.forceUpdate = true;\n }\n return true;\n });\n return widget;\n }\n\n // LINE DATA STRUCTURE\n\n // Line objects. These hold state related to a line, including\n // highlighting info (the styles array).\n var Line = CodeMirror.Line = function(text, markedSpans, estimateHeight) {\n this.text = text;\n attachMarkedSpans(this, markedSpans);\n this.height = estimateHeight ? estimateHeight(this) : 1;\n };\n eventMixin(Line);\n Line.prototype.lineNo = function() { return lineNo(this); };\n\n // Change the content (text, markers) of a line. Automatically\n // invalidates cached information and tries to re-estimate the\n // line's height.\n function updateLine(line, text, markedSpans, estimateHeight) {\n line.text = text;\n if (line.stateAfter) line.stateAfter = null;\n if (line.styles) line.styles = null;\n if (line.order != null) line.order = null;\n detachMarkedSpans(line);\n attachMarkedSpans(line, markedSpans);\n var estHeight = estimateHeight ? estimateHeight(line) : 1;\n if (estHeight != line.height) updateLineHeight(line, estHeight);\n }\n\n // Detach a line from the document tree and its markers.\n function cleanUpLine(line) {\n line.parent = null;\n detachMarkedSpans(line);\n }\n\n function extractLineClasses(type, output) {\n if (type) for (;;) {\n var lineClass = type.match(/(?:^|\\s+)line-(background-)?(\\S+)/);\n if (!lineClass) break;\n type = type.slice(0, lineClass.index) + type.slice(lineClass.index + lineClass[0].length);\n var prop = lineClass[1] ? \"bgClass\" : \"textClass\";\n if (output[prop] == null)\n output[prop] = lineClass[2];\n else if (!(new RegExp(\"(?:^|\\s)\" + lineClass[2] + \"(?:$|\\s)\")).test(output[prop]))\n output[prop] += \" \" + lineClass[2];\n }\n return type;\n }\n\n function callBlankLine(mode, state) {\n if (mode.blankLine) return mode.blankLine(state);\n if (!mode.innerMode) return;\n var inner = CodeMirror.innerMode(mode, state);\n if (inner.mode.blankLine) return inner.mode.blankLine(inner.state);\n }\n\n function readToken(mode, stream, state) {\n for (var i = 0; i < 10; i++) {\n var style = mode.token(stream, state);\n if (stream.pos > stream.start) return style;\n }\n throw new Error(\"Mode \" + mode.name + \" failed to advance stream.\");\n }\n\n // Run the given mode's parser over a line, calling f for each token.\n function runMode(cm, text, mode, state, f, lineClasses, forceToEnd) {\n var flattenSpans = mode.flattenSpans;\n if (flattenSpans == null) flattenSpans = cm.options.flattenSpans;\n var curStart = 0, curStyle = null;\n var stream = new StringStream(text, cm.options.tabSize), style;\n if (text == \"\") extractLineClasses(callBlankLine(mode, state), lineClasses);\n while (!stream.eol()) {\n if (stream.pos > cm.options.maxHighlightLength) {\n flattenSpans = false;\n if (forceToEnd) processLine(cm, text, state, stream.pos);\n stream.pos = text.length;\n style = null;\n } else {\n style = extractLineClasses(readToken(mode, stream, state), lineClasses);\n }\n if (cm.options.addModeClass) {\n var mName = CodeMirror.innerMode(mode, state).mode.name;\n if (mName) style = \"m-\" + (style ? mName + \" \" + style : mName);\n }\n if (!flattenSpans || curStyle != style) {\n if (curStart < stream.start) f(stream.start, curStyle);\n curStart = stream.start; curStyle = style;\n }\n stream.start = stream.pos;\n }\n while (curStart < stream.pos) {\n // Webkit seems to refuse to render text nodes longer than 57444 characters\n var pos = Math.min(stream.pos, curStart + 50000);\n f(pos, curStyle);\n curStart = pos;\n }\n }\n\n // Compute a style array (an array starting with a mode generation\n // -- for invalidation -- followed by pairs of end positions and\n // style strings), which is used to highlight the tokens on the\n // line.\n function highlightLine(cm, line, state, forceToEnd) {\n // A styles array always starts with a number identifying the\n // mode/overlays that it is based on (for easy invalidation).\n var st = [cm.state.modeGen], lineClasses = {};\n // Compute the base array of styles\n runMode(cm, line.text, cm.doc.mode, state, function(end, style) {\n st.push(end, style);\n }, lineClasses, forceToEnd);\n\n // Run overlays, adjust style array.\n for (var o = 0; o < cm.state.overlays.length; ++o) {\n var overlay = cm.state.overlays[o], i = 1, at = 0;\n runMode(cm, line.text, overlay.mode, true, function(end, style) {\n var start = i;\n // Ensure there's a token end at the current position, and that i points at it\n while (at < end) {\n var i_end = st[i];\n if (i_end > end)\n st.splice(i, 1, end, st[i+1], i_end);\n i += 2;\n at = Math.min(end, i_end);\n }\n if (!style) return;\n if (overlay.opaque) {\n st.splice(start, i - start, end, \"cm-overlay \" + style);\n i = start + 2;\n } else {\n for (; start < i; start += 2) {\n var cur = st[start+1];\n st[start+1] = (cur ? cur + \" \" : \"\") + \"cm-overlay \" + style;\n }\n }\n }, lineClasses);\n }\n\n return {styles: st, classes: lineClasses.bgClass || lineClasses.textClass ? lineClasses : null};\n }\n\n function getLineStyles(cm, line) {\n if (!line.styles || line.styles[0] != cm.state.modeGen) {\n var result = highlightLine(cm, line, line.stateAfter = getStateBefore(cm, lineNo(line)));\n line.styles = result.styles;\n if (result.classes) line.styleClasses = result.classes;\n else if (line.styleClasses) line.styleClasses = null;\n }\n return line.styles;\n }\n\n // Lightweight form of highlight -- proceed over this line and\n // update state, but don't save a style array. Used for lines that\n // aren't currently visible.\n function processLine(cm, text, state, startAt) {\n var mode = cm.doc.mode;\n var stream = new StringStream(text, cm.options.tabSize);\n stream.start = stream.pos = startAt || 0;\n if (text == \"\") callBlankLine(mode, state);\n while (!stream.eol() && stream.pos <= cm.options.maxHighlightLength) {\n readToken(mode, stream, state);\n stream.start = stream.pos;\n }\n }\n\n // Convert a style as returned by a mode (either null, or a string\n // containing one or more styles) to a CSS style. This is cached,\n // and also looks for line-wide styles.\n var styleToClassCache = {}, styleToClassCacheWithMode = {};\n function interpretTokenStyle(style, options) {\n if (!style || /^\\s*$/.test(style)) return null;\n var cache = options.addModeClass ? styleToClassCacheWithMode : styleToClassCache;\n return cache[style] ||\n (cache[style] = style.replace(/\\S+/g, \"cm-$&\"));\n }\n\n // Render the DOM representation of the text of a line. Also builds\n // up a 'line map', which points at the DOM nodes that represent\n // specific stretches of text, and is used by the measuring code.\n // The returned object contains the DOM node, this map, and\n // information about line-wide styles that were set by the mode.\n function buildLineContent(cm, lineView) {\n // The padding-right forces the element to have a 'border', which\n // is needed on Webkit to be able to get line-level bounding\n // rectangles for it (in measureChar).\n var content = elt(\"span\", null, null, webkit ? \"padding-right: .1px\" : null);\n var builder = {pre: elt(\"pre\", [content]), content: content, col: 0, pos: 0, cm: cm};\n lineView.measure = {};\n\n // Iterate over the logical lines that make up this visual line.\n for (var i = 0; i <= (lineView.rest ? lineView.rest.length : 0); i++) {\n var line = i ? lineView.rest[i - 1] : lineView.line, order;\n builder.pos = 0;\n builder.addToken = buildToken;\n // Optionally wire in some hacks into the token-rendering\n // algorithm, to deal with browser quirks.\n if ((ie || webkit) && cm.getOption(\"lineWrapping\"))\n builder.addToken = buildTokenSplitSpaces(builder.addToken);\n if (hasBadBidiRects(cm.display.measure) && (order = getOrder(line)))\n builder.addToken = buildTokenBadBidi(builder.addToken, order);\n builder.map = [];\n insertLineContent(line, builder, getLineStyles(cm, line));\n if (line.styleClasses) {\n if (line.styleClasses.bgClass)\n builder.bgClass = joinClasses(line.styleClasses.bgClass, builder.bgClass || \"\");\n if (line.styleClasses.textClass)\n builder.textClass = joinClasses(line.styleClasses.textClass, builder.textClass || \"\");\n }\n\n // Ensure at least a single node is present, for measuring.\n if (builder.map.length == 0)\n builder.map.push(0, 0, builder.content.appendChild(zeroWidthElement(cm.display.measure)));\n\n // Store the map and a cache object for the current logical line\n if (i == 0) {\n lineView.measure.map = builder.map;\n lineView.measure.cache = {};\n } else {\n (lineView.measure.maps || (lineView.measure.maps = [])).push(builder.map);\n (lineView.measure.caches || (lineView.measure.caches = [])).push({});\n }\n }\n\n signal(cm, \"renderLine\", cm, lineView.line, builder.pre);\n return builder;\n }\n\n function defaultSpecialCharPlaceholder(ch) {\n var token = elt(\"span\", \"\\u2022\", \"cm-invalidchar\");\n token.title = \"\\\\u\" + ch.charCodeAt(0).toString(16);\n return token;\n }\n\n // Build up the DOM representation for a single token, and add it to\n // the line map. Takes care to render special characters separately.\n function buildToken(builder, text, style, startStyle, endStyle, title) {\n if (!text) return;\n var special = builder.cm.options.specialChars, mustWrap = false;\n if (!special.test(text)) {\n builder.col += text.length;\n var content = document.createTextNode(text);\n builder.map.push(builder.pos, builder.pos + text.length, content);\n if (ie_upto8) mustWrap = true;\n builder.pos += text.length;\n } else {\n var content = document.createDocumentFragment(), pos = 0;\n while (true) {\n special.lastIndex = pos;\n var m = special.exec(text);\n var skipped = m ? m.index - pos : text.length - pos;\n if (skipped) {\n var txt = document.createTextNode(text.slice(pos, pos + skipped));\n if (ie_upto8) content.appendChild(elt(\"span\", [txt]));\n else content.appendChild(txt);\n builder.map.push(builder.pos, builder.pos + skipped, txt);\n builder.col += skipped;\n builder.pos += skipped;\n }\n if (!m) break;\n pos += skipped + 1;\n if (m[0] == \"\\t\") {\n var tabSize = builder.cm.options.tabSize, tabWidth = tabSize - builder.col % tabSize;\n var txt = content.appendChild(elt(\"span\", spaceStr(tabWidth), \"cm-tab\"));\n builder.col += tabWidth;\n } else {\n var txt = builder.cm.options.specialCharPlaceholder(m[0]);\n if (ie_upto8) content.appendChild(elt(\"span\", [txt]));\n else content.appendChild(txt);\n builder.col += 1;\n }\n builder.map.push(builder.pos, builder.pos + 1, txt);\n builder.pos++;\n }\n }\n if (style || startStyle || endStyle || mustWrap) {\n var fullStyle = style || \"\";\n if (startStyle) fullStyle += startStyle;\n if (endStyle) fullStyle += endStyle;\n var token = elt(\"span\", [content], fullStyle);\n if (title) token.title = title;\n return builder.content.appendChild(token);\n }\n builder.content.appendChild(content);\n }\n\n function buildTokenSplitSpaces(inner) {\n function split(old) {\n var out = \" \";\n for (var i = 0; i < old.length - 2; ++i) out += i % 2 ? \" \" : \"\\u00a0\";\n out += \" \";\n return out;\n }\n return function(builder, text, style, startStyle, endStyle, title) {\n inner(builder, text.replace(/ {3,}/g, split), style, startStyle, endStyle, title);\n };\n }\n\n // Work around nonsense dimensions being reported for stretches of\n // right-to-left text.\n function buildTokenBadBidi(inner, order) {\n return function(builder, text, style, startStyle, endStyle, title) {\n style = style ? style + \" cm-force-border\" : \"cm-force-border\";\n var start = builder.pos, end = start + text.length;\n for (;;) {\n // Find the part that overlaps with the start of this text\n for (var i = 0; i < order.length; i++) {\n var part = order[i];\n if (part.to > start && part.from <= start) break;\n }\n if (part.to >= end) return inner(builder, text, style, startStyle, endStyle, title);\n inner(builder, text.slice(0, part.to - start), style, startStyle, null, title);\n startStyle = null;\n text = text.slice(part.to - start);\n start = part.to;\n }\n };\n }\n\n function buildCollapsedSpan(builder, size, marker, ignoreWidget) {\n var widget = !ignoreWidget && marker.widgetNode;\n if (widget) {\n builder.map.push(builder.pos, builder.pos + size, widget);\n builder.content.appendChild(widget);\n }\n builder.pos += size;\n }\n\n // Outputs a number of spans to make up a line, taking highlighting\n // and marked text into account.\n function insertLineContent(line, builder, styles) {\n var spans = line.markedSpans, allText = line.text, at = 0;\n if (!spans) {\n for (var i = 1; i < styles.length; i+=2)\n builder.addToken(builder, allText.slice(at, at = styles[i]), interpretTokenStyle(styles[i+1], builder.cm.options));\n return;\n }\n\n var len = allText.length, pos = 0, i = 1, text = \"\", style;\n var nextChange = 0, spanStyle, spanEndStyle, spanStartStyle, title, collapsed;\n for (;;) {\n if (nextChange == pos) { // Update current marker set\n spanStyle = spanEndStyle = spanStartStyle = title = \"\";\n collapsed = null; nextChange = Infinity;\n var foundBookmarks = [];\n for (var j = 0; j < spans.length; ++j) {\n var sp = spans[j], m = sp.marker;\n if (sp.from <= pos && (sp.to == null || sp.to > pos)) {\n if (sp.to != null && nextChange > sp.to) { nextChange = sp.to; spanEndStyle = \"\"; }\n if (m.className) spanStyle += \" \" + m.className;\n if (m.startStyle && sp.from == pos) spanStartStyle += \" \" + m.startStyle;\n if (m.endStyle && sp.to == nextChange) spanEndStyle += \" \" + m.endStyle;\n if (m.title && !title) title = m.title;\n if (m.collapsed && (!collapsed || compareCollapsedMarkers(collapsed.marker, m) < 0))\n collapsed = sp;\n } else if (sp.from > pos && nextChange > sp.from) {\n nextChange = sp.from;\n }\n if (m.type == \"bookmark\" && sp.from == pos && m.widgetNode) foundBookmarks.push(m);\n }\n if (collapsed && (collapsed.from || 0) == pos) {\n buildCollapsedSpan(builder, (collapsed.to == null ? len + 1 : collapsed.to) - pos,\n collapsed.marker, collapsed.from == null);\n if (collapsed.to == null) return;\n }\n if (!collapsed && foundBookmarks.length) for (var j = 0; j < foundBookmarks.length; ++j)\n buildCollapsedSpan(builder, 0, foundBookmarks[j]);\n }\n if (pos >= len) break;\n\n var upto = Math.min(len, nextChange);\n while (true) {\n if (text) {\n var end = pos + text.length;\n if (!collapsed) {\n var tokenText = end > upto ? text.slice(0, upto - pos) : text;\n builder.addToken(builder, tokenText, style ? style + spanStyle : spanStyle,\n spanStartStyle, pos + tokenText.length == nextChange ? spanEndStyle : \"\", title);\n }\n if (end >= upto) {text = text.slice(upto - pos); pos = upto; break;}\n pos = end;\n spanStartStyle = \"\";\n }\n text = allText.slice(at, at = styles[i++]);\n style = interpretTokenStyle(styles[i++], builder.cm.options);\n }\n }\n }\n\n // DOCUMENT DATA STRUCTURE\n\n // By default, updates that start and end at the beginning of a line\n // are treated specially, in order to make the association of line\n // widgets and marker elements with the text behave more intuitive.\n function isWholeLineUpdate(doc, change) {\n return change.from.ch == 0 && change.to.ch == 0 && lst(change.text) == \"\" &&\n (!doc.cm || doc.cm.options.wholeLineUpdateBefore);\n }\n\n // Perform a change on the document data structure.\n function updateDoc(doc, change, markedSpans, estimateHeight) {\n function spansFor(n) {return markedSpans ? markedSpans[n] : null;}\n function update(line, text, spans) {\n updateLine(line, text, spans, estimateHeight);\n signalLater(line, \"change\", line, change);\n }\n\n var from = change.from, to = change.to, text = change.text;\n var firstLine = getLine(doc, from.line), lastLine = getLine(doc, to.line);\n var lastText = lst(text), lastSpans = spansFor(text.length - 1), nlines = to.line - from.line;\n\n // Adjust the line structure\n if (isWholeLineUpdate(doc, change)) {\n // This is a whole-line replace. Treated specially to make\n // sure line objects move the way they are supposed to.\n for (var i = 0, added = []; i < text.length - 1; ++i)\n added.push(new Line(text[i], spansFor(i), estimateHeight));\n update(lastLine, lastLine.text, lastSpans);\n if (nlines) doc.remove(from.line, nlines);\n if (added.length) doc.insert(from.line, added);\n } else if (firstLine == lastLine) {\n if (text.length == 1) {\n update(firstLine, firstLine.text.slice(0, from.ch) + lastText + firstLine.text.slice(to.ch), lastSpans);\n } else {\n for (var added = [], i = 1; i < text.length - 1; ++i)\n added.push(new Line(text[i], spansFor(i), estimateHeight));\n added.push(new Line(lastText + firstLine.text.slice(to.ch), lastSpans, estimateHeight));\n update(firstLine, firstLine.text.slice(0, from.ch) + text[0], spansFor(0));\n doc.insert(from.line + 1, added);\n }\n } else if (text.length == 1) {\n update(firstLine, firstLine.text.slice(0, from.ch) + text[0] + lastLine.text.slice(to.ch), spansFor(0));\n doc.remove(from.line + 1, nlines);\n } else {\n update(firstLine, firstLine.text.slice(0, from.ch) + text[0], spansFor(0));\n update(lastLine, lastText + lastLine.text.slice(to.ch), lastSpans);\n for (var i = 1, added = []; i < text.length - 1; ++i)\n added.push(new Line(text[i], spansFor(i), estimateHeight));\n if (nlines > 1) doc.remove(from.line + 1, nlines - 1);\n doc.insert(from.line + 1, added);\n }\n\n signalLater(doc, \"change\", doc, change);\n }\n\n // The document is represented as a BTree consisting of leaves, with\n // chunk of lines in them, and branches, with up to ten leaves or\n // other branch nodes below them. The top node is always a branch\n // node, and is the document object itself (meaning it has\n // additional methods and properties).\n //\n // All nodes have parent links. The tree is used both to go from\n // line numbers to line objects, and to go from objects to numbers.\n // It also indexes by height, and is used to convert between height\n // and line object, and to find the total height of the document.\n //\n // See also http://marijnhaverbeke.nl/blog/codemirror-line-tree.html\n\n function LeafChunk(lines) {\n this.lines = lines;\n this.parent = null;\n for (var i = 0, height = 0; i < lines.length; ++i) {\n lines[i].parent = this;\n height += lines[i].height;\n }\n this.height = height;\n }\n\n LeafChunk.prototype = {\n chunkSize: function() { return this.lines.length; },\n // Remove the n lines at offset 'at'.\n removeInner: function(at, n) {\n for (var i = at, e = at + n; i < e; ++i) {\n var line = this.lines[i];\n this.height -= line.height;\n cleanUpLine(line);\n signalLater(line, \"delete\");\n }\n this.lines.splice(at, n);\n },\n // Helper used to collapse a small branch into a single leaf.\n collapse: function(lines) {\n lines.push.apply(lines, this.lines);\n },\n // Insert the given array of lines at offset 'at', count them as\n // having the given height.\n insertInner: function(at, lines, height) {\n this.height += height;\n this.lines = this.lines.slice(0, at).concat(lines).concat(this.lines.slice(at));\n for (var i = 0; i < lines.length; ++i) lines[i].parent = this;\n },\n // Used to iterate over a part of the tree.\n iterN: function(at, n, op) {\n for (var e = at + n; at < e; ++at)\n if (op(this.lines[at])) return true;\n }\n };\n\n function BranchChunk(children) {\n this.children = children;\n var size = 0, height = 0;\n for (var i = 0; i < children.length; ++i) {\n var ch = children[i];\n size += ch.chunkSize(); height += ch.height;\n ch.parent = this;\n }\n this.size = size;\n this.height = height;\n this.parent = null;\n }\n\n BranchChunk.prototype = {\n chunkSize: function() { return this.size; },\n removeInner: function(at, n) {\n this.size -= n;\n for (var i = 0; i < this.children.length; ++i) {\n var child = this.children[i], sz = child.chunkSize();\n if (at < sz) {\n var rm = Math.min(n, sz - at), oldHeight = child.height;\n child.removeInner(at, rm);\n this.height -= oldHeight - child.height;\n if (sz == rm) { this.children.splice(i--, 1); child.parent = null; }\n if ((n -= rm) == 0) break;\n at = 0;\n } else at -= sz;\n }\n // If the result is smaller than 25 lines, ensure that it is a\n // single leaf node.\n if (this.size - n < 25 &&\n (this.children.length > 1 || !(this.children[0] instanceof LeafChunk))) {\n var lines = [];\n this.collapse(lines);\n this.children = [new LeafChunk(lines)];\n this.children[0].parent = this;\n }\n },\n collapse: function(lines) {\n for (var i = 0; i < this.children.length; ++i) this.children[i].collapse(lines);\n },\n insertInner: function(at, lines, height) {\n this.size += lines.length;\n this.height += height;\n for (var i = 0; i < this.children.length; ++i) {\n var child = this.children[i], sz = child.chunkSize();\n if (at <= sz) {\n child.insertInner(at, lines, height);\n if (child.lines && child.lines.length > 50) {\n while (child.lines.length > 50) {\n var spilled = child.lines.splice(child.lines.length - 25, 25);\n var newleaf = new LeafChunk(spilled);\n child.height -= newleaf.height;\n this.children.splice(i + 1, 0, newleaf);\n newleaf.parent = this;\n }\n this.maybeSpill();\n }\n break;\n }\n at -= sz;\n }\n },\n // When a node has grown, check whether it should be split.\n maybeSpill: function() {\n if (this.children.length <= 10) return;\n var me = this;\n do {\n var spilled = me.children.splice(me.children.length - 5, 5);\n var sibling = new BranchChunk(spilled);\n if (!me.parent) { // Become the parent node\n var copy = new BranchChunk(me.children);\n copy.parent = me;\n me.children = [copy, sibling];\n me = copy;\n } else {\n me.size -= sibling.size;\n me.height -= sibling.height;\n var myIndex = indexOf(me.parent.children, me);\n me.parent.children.splice(myIndex + 1, 0, sibling);\n }\n sibling.parent = me.parent;\n } while (me.children.length > 10);\n me.parent.maybeSpill();\n },\n iterN: function(at, n, op) {\n for (var i = 0; i < this.children.length; ++i) {\n var child = this.children[i], sz = child.chunkSize();\n if (at < sz) {\n var used = Math.min(n, sz - at);\n if (child.iterN(at, used, op)) return true;\n if ((n -= used) == 0) break;\n at = 0;\n } else at -= sz;\n }\n }\n };\n\n var nextDocId = 0;\n var Doc = CodeMirror.Doc = function(text, mode, firstLine) {\n if (!(this instanceof Doc)) return new Doc(text, mode, firstLine);\n if (firstLine == null) firstLine = 0;\n\n BranchChunk.call(this, [new LeafChunk([new Line(\"\", null)])]);\n this.first = firstLine;\n this.scrollTop = this.scrollLeft = 0;\n this.cantEdit = false;\n this.cleanGeneration = 1;\n this.frontier = firstLine;\n var start = Pos(firstLine, 0);\n this.sel = simpleSelection(start);\n this.history = new History(null);\n this.id = ++nextDocId;\n this.modeOption = mode;\n\n if (typeof text == \"string\") text = splitLines(text);\n updateDoc(this, {from: start, to: start, text: text});\n setSelection(this, simpleSelection(start), sel_dontScroll);\n };\n\n Doc.prototype = createObj(BranchChunk.prototype, {\n constructor: Doc,\n // Iterate over the document. Supports two forms -- with only one\n // argument, it calls that for each line in the document. With\n // three, it iterates over the range given by the first two (with\n // the second being non-inclusive).\n iter: function(from, to, op) {\n if (op) this.iterN(from - this.first, to - from, op);\n else this.iterN(this.first, this.first + this.size, from);\n },\n\n // Non-public interface for adding and removing lines.\n insert: function(at, lines) {\n var height = 0;\n for (var i = 0; i < lines.length; ++i) height += lines[i].height;\n this.insertInner(at - this.first, lines, height);\n },\n remove: function(at, n) { this.removeInner(at - this.first, n); },\n\n // From here, the methods are part of the public interface. Most\n // are also available from CodeMirror (editor) instances.\n\n getValue: function(lineSep) {\n var lines = getLines(this, this.first, this.first + this.size);\n if (lineSep === false) return lines;\n return lines.join(lineSep || \"\\n\");\n },\n setValue: docMethodOp(function(code) {\n var top = Pos(this.first, 0), last = this.first + this.size - 1;\n makeChange(this, {from: top, to: Pos(last, getLine(this, last).text.length),\n text: splitLines(code), origin: \"setValue\"}, true);\n setSelection(this, simpleSelection(top));\n }),\n replaceRange: function(code, from, to, origin) {\n from = clipPos(this, from);\n to = to ? clipPos(this, to) : from;\n replaceRange(this, code, from, to, origin);\n },\n getRange: function(from, to, lineSep) {\n var lines = getBetween(this, clipPos(this, from), clipPos(this, to));\n if (lineSep === false) return lines;\n return lines.join(lineSep || \"\\n\");\n },\n\n getLine: function(line) {var l = this.getLineHandle(line); return l && l.text;},\n\n getLineHandle: function(line) {if (isLine(this, line)) return getLine(this, line);},\n getLineNumber: function(line) {return lineNo(line);},\n\n getLineHandleVisualStart: function(line) {\n if (typeof line == \"number\") line = getLine(this, line);\n return visualLine(line);\n },\n\n lineCount: function() {return this.size;},\n firstLine: function() {return this.first;},\n lastLine: function() {return this.first + this.size - 1;},\n\n clipPos: function(pos) {return clipPos(this, pos);},\n\n getCursor: function(start) {\n var range = this.sel.primary(), pos;\n if (start == null || start == \"head\") pos = range.head;\n else if (start == \"anchor\") pos = range.anchor;\n else if (start == \"end\" || start == \"to\" || start === false) pos = range.to();\n else pos = range.from();\n return pos;\n },\n listSelections: function() { return this.sel.ranges; },\n somethingSelected: function() {return this.sel.somethingSelected();},\n\n setCursor: docMethodOp(function(line, ch, options) {\n setSimpleSelection(this, clipPos(this, typeof line == \"number\" ? Pos(line, ch || 0) : line), null, options);\n }),\n setSelection: docMethodOp(function(anchor, head, options) {\n setSimpleSelection(this, clipPos(this, anchor), clipPos(this, head || anchor), options);\n }),\n extendSelection: docMethodOp(function(head, other, options) {\n extendSelection(this, clipPos(this, head), other && clipPos(this, other), options);\n }),\n extendSelections: docMethodOp(function(heads, options) {\n extendSelections(this, clipPosArray(this, heads, options));\n }),\n extendSelectionsBy: docMethodOp(function(f, options) {\n extendSelections(this, map(this.sel.ranges, f), options);\n }),\n setSelections: docMethodOp(function(ranges, primary, options) {\n if (!ranges.length) return;\n for (var i = 0, out = []; i < ranges.length; i++)\n out[i] = new Range(clipPos(this, ranges[i].anchor),\n clipPos(this, ranges[i].head));\n if (primary == null) primary = Math.min(ranges.length - 1, this.sel.primIndex);\n setSelection(this, normalizeSelection(out, primary), options);\n }),\n addSelection: docMethodOp(function(anchor, head, options) {\n var ranges = this.sel.ranges.slice(0);\n ranges.push(new Range(clipPos(this, anchor), clipPos(this, head || anchor)));\n setSelection(this, normalizeSelection(ranges, ranges.length - 1), options);\n }),\n\n getSelection: function(lineSep) {\n var ranges = this.sel.ranges, lines;\n for (var i = 0; i < ranges.length; i++) {\n var sel = getBetween(this, ranges[i].from(), ranges[i].to());\n lines = lines ? lines.concat(sel) : sel;\n }\n if (lineSep === false) return lines;\n else return lines.join(lineSep || \"\\n\");\n },\n getSelections: function(lineSep) {\n var parts = [], ranges = this.sel.ranges;\n for (var i = 0; i < ranges.length; i++) {\n var sel = getBetween(this, ranges[i].from(), ranges[i].to());\n if (lineSep !== false) sel = sel.join(lineSep || \"\\n\");\n parts[i] = sel;\n }\n return parts;\n },\n replaceSelection: function(code, collapse, origin) {\n var dup = [];\n for (var i = 0; i < this.sel.ranges.length; i++)\n dup[i] = code;\n this.replaceSelections(dup, collapse, origin || \"+input\");\n },\n replaceSelections: docMethodOp(function(code, collapse, origin) {\n var changes = [], sel = this.sel;\n for (var i = 0; i < sel.ranges.length; i++) {\n var range = sel.ranges[i];\n changes[i] = {from: range.from(), to: range.to(), text: splitLines(code[i]), origin: origin};\n }\n var newSel = collapse && collapse != \"end\" && computeReplacedSel(this, changes, collapse);\n for (var i = changes.length - 1; i >= 0; i--)\n makeChange(this, changes[i]);\n if (newSel) setSelectionReplaceHistory(this, newSel);\n else if (this.cm) ensureCursorVisible(this.cm);\n }),\n undo: docMethodOp(function() {makeChangeFromHistory(this, \"undo\");}),\n redo: docMethodOp(function() {makeChangeFromHistory(this, \"redo\");}),\n undoSelection: docMethodOp(function() {makeChangeFromHistory(this, \"undo\", true);}),\n redoSelection: docMethodOp(function() {makeChangeFromHistory(this, \"redo\", true);}),\n\n setExtending: function(val) {this.extend = val;},\n getExtending: function() {return this.extend;},\n\n historySize: function() {\n var hist = this.history, done = 0, undone = 0;\n for (var i = 0; i < hist.done.length; i++) if (!hist.done[i].ranges) ++done;\n for (var i = 0; i < hist.undone.length; i++) if (!hist.undone[i].ranges) ++undone;\n return {undo: done, redo: undone};\n },\n clearHistory: function() {this.history = new History(this.history.maxGeneration);},\n\n markClean: function() {\n this.cleanGeneration = this.changeGeneration(true);\n },\n changeGeneration: function(forceSplit) {\n if (forceSplit)\n this.history.lastOp = this.history.lastOrigin = null;\n return this.history.generation;\n },\n isClean: function (gen) {\n return this.history.generation == (gen || this.cleanGeneration);\n },\n\n getHistory: function() {\n return {done: copyHistoryArray(this.history.done),\n undone: copyHistoryArray(this.history.undone)};\n },\n setHistory: function(histData) {\n var hist = this.history = new History(this.history.maxGeneration);\n hist.done = copyHistoryArray(histData.done.slice(0), null, true);\n hist.undone = copyHistoryArray(histData.undone.slice(0), null, true);\n },\n\n markText: function(from, to, options) {\n return markText(this, clipPos(this, from), clipPos(this, to), options, \"range\");\n },\n setBookmark: function(pos, options) {\n var realOpts = {replacedWith: options && (options.nodeType == null ? options.widget : options),\n insertLeft: options && options.insertLeft,\n clearWhenEmpty: false, shared: options && options.shared};\n pos = clipPos(this, pos);\n return markText(this, pos, pos, realOpts, \"bookmark\");\n },\n findMarksAt: function(pos) {\n pos = clipPos(this, pos);\n var markers = [], spans = getLine(this, pos.line).markedSpans;\n if (spans) for (var i = 0; i < spans.length; ++i) {\n var span = spans[i];\n if ((span.from == null || span.from <= pos.ch) &&\n (span.to == null || span.to >= pos.ch))\n markers.push(span.marker.parent || span.marker);\n }\n return markers;\n },\n findMarks: function(from, to, filter) {\n from = clipPos(this, from); to = clipPos(this, to);\n var found = [], lineNo = from.line;\n this.iter(from.line, to.line + 1, function(line) {\n var spans = line.markedSpans;\n if (spans) for (var i = 0; i < spans.length; i++) {\n var span = spans[i];\n if (!(lineNo == from.line && from.ch > span.to ||\n span.from == null && lineNo != from.line||\n lineNo == to.line && span.from > to.ch) &&\n (!filter || filter(span.marker)))\n found.push(span.marker.parent || span.marker);\n }\n ++lineNo;\n });\n return found;\n },\n getAllMarks: function() {\n var markers = [];\n this.iter(function(line) {\n var sps = line.markedSpans;\n if (sps) for (var i = 0; i < sps.length; ++i)\n if (sps[i].from != null) markers.push(sps[i].marker);\n });\n return markers;\n },\n\n posFromIndex: function(off) {\n var ch, lineNo = this.first;\n this.iter(function(line) {\n var sz = line.text.length + 1;\n if (sz > off) { ch = off; return true; }\n off -= sz;\n ++lineNo;\n });\n return clipPos(this, Pos(lineNo, ch));\n },\n indexFromPos: function (coords) {\n coords = clipPos(this, coords);\n var index = coords.ch;\n if (coords.line < this.first || coords.ch < 0) return 0;\n this.iter(this.first, coords.line, function (line) {\n index += line.text.length + 1;\n });\n return index;\n },\n\n copy: function(copyHistory) {\n var doc = new Doc(getLines(this, this.first, this.first + this.size), this.modeOption, this.first);\n doc.scrollTop = this.scrollTop; doc.scrollLeft = this.scrollLeft;\n doc.sel = this.sel;\n doc.extend = false;\n if (copyHistory) {\n doc.history.undoDepth = this.history.undoDepth;\n doc.setHistory(this.getHistory());\n }\n return doc;\n },\n\n linkedDoc: function(options) {\n if (!options) options = {};\n var from = this.first, to = this.first + this.size;\n if (options.from != null && options.from > from) from = options.from;\n if (options.to != null && options.to < to) to = options.to;\n var copy = new Doc(getLines(this, from, to), options.mode || this.modeOption, from);\n if (options.sharedHist) copy.history = this.history;\n (this.linked || (this.linked = [])).push({doc: copy, sharedHist: options.sharedHist});\n copy.linked = [{doc: this, isParent: true, sharedHist: options.sharedHist}];\n copySharedMarkers(copy, findSharedMarkers(this));\n return copy;\n },\n unlinkDoc: function(other) {\n if (other instanceof CodeMirror) other = other.doc;\n if (this.linked) for (var i = 0; i < this.linked.length; ++i) {\n var link = this.linked[i];\n if (link.doc != other) continue;\n this.linked.splice(i, 1);\n other.unlinkDoc(this);\n detachSharedMarkers(findSharedMarkers(this));\n break;\n }\n // If the histories were shared, split them again\n if (other.history == this.history) {\n var splitIds = [other.id];\n linkedDocs(other, function(doc) {splitIds.push(doc.id);}, true);\n other.history = new History(null);\n other.history.done = copyHistoryArray(this.history.done, splitIds);\n other.history.undone = copyHistoryArray(this.history.undone, splitIds);\n }\n },\n iterLinkedDocs: function(f) {linkedDocs(this, f);},\n\n getMode: function() {return this.mode;},\n getEditor: function() {return this.cm;}\n });\n\n // Public alias.\n Doc.prototype.eachLine = Doc.prototype.iter;\n\n // Set up methods on CodeMirror's prototype to redirect to the editor's document.\n var dontDelegate = \"iter insert remove copy getEditor\".split(\" \");\n for (var prop in Doc.prototype) if (Doc.prototype.hasOwnProperty(prop) && indexOf(dontDelegate, prop) < 0)\n CodeMirror.prototype[prop] = (function(method) {\n return function() {return method.apply(this.doc, arguments);};\n })(Doc.prototype[prop]);\n\n eventMixin(Doc);\n\n // Call f for all linked documents.\n function linkedDocs(doc, f, sharedHistOnly) {\n function propagate(doc, skip, sharedHist) {\n if (doc.linked) for (var i = 0; i < doc.linked.length; ++i) {\n var rel = doc.linked[i];\n if (rel.doc == skip) continue;\n var shared = sharedHist && rel.sharedHist;\n if (sharedHistOnly && !shared) continue;\n f(rel.doc, shared);\n propagate(rel.doc, doc, shared);\n }\n }\n propagate(doc, null, true);\n }\n\n // Attach a document to an editor.\n function attachDoc(cm, doc) {\n if (doc.cm) throw new Error(\"This document is already in use.\");\n cm.doc = doc;\n doc.cm = cm;\n estimateLineHeights(cm);\n loadMode(cm);\n if (!cm.options.lineWrapping) findMaxLine(cm);\n cm.options.mode = doc.modeOption;\n regChange(cm);\n }\n\n // LINE UTILITIES\n\n // Find the line object corresponding to the given line number.\n function getLine(doc, n) {\n n -= doc.first;\n if (n < 0 || n >= doc.size) throw new Error(\"There is no line \" + (n + doc.first) + \" in the document.\");\n for (var chunk = doc; !chunk.lines;) {\n for (var i = 0;; ++i) {\n var child = chunk.children[i], sz = child.chunkSize();\n if (n < sz) { chunk = child; break; }\n n -= sz;\n }\n }\n return chunk.lines[n];\n }\n\n // Get the part of a document between two positions, as an array of\n // strings.\n function getBetween(doc, start, end) {\n var out = [], n = start.line;\n doc.iter(start.line, end.line + 1, function(line) {\n var text = line.text;\n if (n == end.line) text = text.slice(0, end.ch);\n if (n == start.line) text = text.slice(start.ch);\n out.push(text);\n ++n;\n });\n return out;\n }\n // Get the lines between from and to, as array of strings.\n function getLines(doc, from, to) {\n var out = [];\n doc.iter(from, to, function(line) { out.push(line.text); });\n return out;\n }\n\n // Update the height of a line, propagating the height change\n // upwards to parent nodes.\n function updateLineHeight(line, height) {\n var diff = height - line.height;\n if (diff) for (var n = line; n; n = n.parent) n.height += diff;\n }\n\n // Given a line object, find its line number by walking up through\n // its parent links.\n function lineNo(line) {\n if (line.parent == null) return null;\n var cur = line.parent, no = indexOf(cur.lines, line);\n for (var chunk = cur.parent; chunk; cur = chunk, chunk = chunk.parent) {\n for (var i = 0;; ++i) {\n if (chunk.children[i] == cur) break;\n no += chunk.children[i].chunkSize();\n }\n }\n return no + cur.first;\n }\n\n // Find the line at the given vertical position, using the height\n // information in the document tree.\n function lineAtHeight(chunk, h) {\n var n = chunk.first;\n outer: do {\n for (var i = 0; i < chunk.children.length; ++i) {\n var child = chunk.children[i], ch = child.height;\n if (h < ch) { chunk = child; continue outer; }\n h -= ch;\n n += child.chunkSize();\n }\n return n;\n } while (!chunk.lines);\n for (var i = 0; i < chunk.lines.length; ++i) {\n var line = chunk.lines[i], lh = line.height;\n if (h < lh) break;\n h -= lh;\n }\n return n + i;\n }\n\n\n // Find the height above the given line.\n function heightAtLine(lineObj) {\n lineObj = visualLine(lineObj);\n\n var h = 0, chunk = lineObj.parent;\n for (var i = 0; i < chunk.lines.length; ++i) {\n var line = chunk.lines[i];\n if (line == lineObj) break;\n else h += line.height;\n }\n for (var p = chunk.parent; p; chunk = p, p = chunk.parent) {\n for (var i = 0; i < p.children.length; ++i) {\n var cur = p.children[i];\n if (cur == chunk) break;\n else h += cur.height;\n }\n }\n return h;\n }\n\n // Get the bidi ordering for the given line (and cache it). Returns\n // false for lines that are fully left-to-right, and an array of\n // BidiSpan objects otherwise.\n function getOrder(line) {\n var order = line.order;\n if (order == null) order = line.order = bidiOrdering(line.text);\n return order;\n }\n\n // HISTORY\n\n function History(startGen) {\n // Arrays of change events and selections. Doing something adds an\n // event to done and clears undo. Undoing moves events from done\n // to undone, redoing moves them in the other direction.\n this.done = []; this.undone = [];\n this.undoDepth = Infinity;\n // Used to track when changes can be merged into a single undo\n // event\n this.lastModTime = this.lastSelTime = 0;\n this.lastOp = null;\n this.lastOrigin = this.lastSelOrigin = null;\n // Used by the isClean() method\n this.generation = this.maxGeneration = startGen || 1;\n }\n\n // Create a history change event from an updateDoc-style change\n // object.\n function historyChangeFromChange(doc, change) {\n var histChange = {from: copyPos(change.from), to: changeEnd(change), text: getBetween(doc, change.from, change.to)};\n attachLocalSpans(doc, histChange, change.from.line, change.to.line + 1);\n linkedDocs(doc, function(doc) {attachLocalSpans(doc, histChange, change.from.line, change.to.line + 1);}, true);\n return histChange;\n }\n\n // Pop all selection events off the end of a history array. Stop at\n // a change event.\n function clearSelectionEvents(array) {\n while (array.length) {\n var last = lst(array);\n if (last.ranges) array.pop();\n else break;\n }\n }\n\n // Find the top change event in the history. Pop off selection\n // events that are in the way.\n function lastChangeEvent(hist, force) {\n if (force) {\n clearSelectionEvents(hist.done);\n return lst(hist.done);\n } else if (hist.done.length && !lst(hist.done).ranges) {\n return lst(hist.done);\n } else if (hist.done.length > 1 && !hist.done[hist.done.length - 2].ranges) {\n hist.done.pop();\n return lst(hist.done);\n }\n }\n\n // Register a change in the history. Merges changes that are within\n // a single operation, ore are close together with an origin that\n // allows merging (starting with \"+\") into a single event.\n function addChangeToHistory(doc, change, selAfter, opId) {\n var hist = doc.history;\n hist.undone.length = 0;\n var time = +new Date, cur;\n\n if ((hist.lastOp == opId ||\n hist.lastOrigin == change.origin && change.origin &&\n ((change.origin.charAt(0) == \"+\" && doc.cm && hist.lastModTime > time - doc.cm.options.historyEventDelay) ||\n change.origin.charAt(0) == \"*\")) &&\n (cur = lastChangeEvent(hist, hist.lastOp == opId))) {\n // Merge this change into the last event\n var last = lst(cur.changes);\n if (cmp(change.from, change.to) == 0 && cmp(change.from, last.to) == 0) {\n // Optimized case for simple insertion -- don't want to add\n // new changesets for every character typed\n last.to = changeEnd(change);\n } else {\n // Add new sub-event\n cur.changes.push(historyChangeFromChange(doc, change));\n }\n } else {\n // Can not be merged, start a new event.\n var before = lst(hist.done);\n if (!before || !before.ranges)\n pushSelectionToHistory(doc.sel, hist.done);\n cur = {changes: [historyChangeFromChange(doc, change)],\n generation: hist.generation};\n hist.done.push(cur);\n while (hist.done.length > hist.undoDepth) {\n hist.done.shift();\n if (!hist.done[0].ranges) hist.done.shift();\n }\n }\n hist.done.push(selAfter);\n hist.generation = ++hist.maxGeneration;\n hist.lastModTime = hist.lastSelTime = time;\n hist.lastOp = opId;\n hist.lastOrigin = hist.lastSelOrigin = change.origin;\n\n if (!last) signal(doc, \"historyAdded\");\n }\n\n function selectionEventCanBeMerged(doc, origin, prev, sel) {\n var ch = origin.charAt(0);\n return ch == \"*\" ||\n ch == \"+\" &&\n prev.ranges.length == sel.ranges.length &&\n prev.somethingSelected() == sel.somethingSelected() &&\n new Date - doc.history.lastSelTime <= (doc.cm ? doc.cm.options.historyEventDelay : 500);\n }\n\n // Called whenever the selection changes, sets the new selection as\n // the pending selection in the history, and pushes the old pending\n // selection into the 'done' array when it was significantly\n // different (in number of selected ranges, emptiness, or time).\n function addSelectionToHistory(doc, sel, opId, options) {\n var hist = doc.history, origin = options && options.origin;\n\n // A new event is started when the previous origin does not match\n // the current, or the origins don't allow matching. Origins\n // starting with * are always merged, those starting with + are\n // merged when similar and close together in time.\n if (opId == hist.lastOp ||\n (origin && hist.lastSelOrigin == origin &&\n (hist.lastModTime == hist.lastSelTime && hist.lastOrigin == origin ||\n selectionEventCanBeMerged(doc, origin, lst(hist.done), sel))))\n hist.done[hist.done.length - 1] = sel;\n else\n pushSelectionToHistory(sel, hist.done);\n\n hist.lastSelTime = +new Date;\n hist.lastSelOrigin = origin;\n hist.lastOp = opId;\n if (options && options.clearRedo !== false)\n clearSelectionEvents(hist.undone);\n }\n\n function pushSelectionToHistory(sel, dest) {\n var top = lst(dest);\n if (!(top && top.ranges && top.equals(sel)))\n dest.push(sel);\n }\n\n // Used to store marked span information in the history.\n function attachLocalSpans(doc, change, from, to) {\n var existing = change[\"spans_\" + doc.id], n = 0;\n doc.iter(Math.max(doc.first, from), Math.min(doc.first + doc.size, to), function(line) {\n if (line.markedSpans)\n (existing || (existing = change[\"spans_\" + doc.id] = {}))[n] = line.markedSpans;\n ++n;\n });\n }\n\n // When un/re-doing restores text containing marked spans, those\n // that have been explicitly cleared should not be restored.\n function removeClearedSpans(spans) {\n if (!spans) return null;\n for (var i = 0, out; i < spans.length; ++i) {\n if (spans[i].marker.explicitlyCleared) { if (!out) out = spans.slice(0, i); }\n else if (out) out.push(spans[i]);\n }\n return !out ? spans : out.length ? out : null;\n }\n\n // Retrieve and filter the old marked spans stored in a change event.\n function getOldSpans(doc, change) {\n var found = change[\"spans_\" + doc.id];\n if (!found) return null;\n for (var i = 0, nw = []; i < change.text.length; ++i)\n nw.push(removeClearedSpans(found[i]));\n return nw;\n }\n\n // Used both to provide a JSON-safe object in .getHistory, and, when\n // detaching a document, to split the history in two\n function copyHistoryArray(events, newGroup, instantiateSel) {\n for (var i = 0, copy = []; i < events.length; ++i) {\n var event = events[i];\n if (event.ranges) {\n copy.push(instantiateSel ? Selection.prototype.deepCopy.call(event) : event);\n continue;\n }\n var changes = event.changes, newChanges = [];\n copy.push({changes: newChanges});\n for (var j = 0; j < changes.length; ++j) {\n var change = changes[j], m;\n newChanges.push({from: change.from, to: change.to, text: change.text});\n if (newGroup) for (var prop in change) if (m = prop.match(/^spans_(\\d+)$/)) {\n if (indexOf(newGroup, Number(m[1])) > -1) {\n lst(newChanges)[prop] = change[prop];\n delete change[prop];\n }\n }\n }\n }\n return copy;\n }\n\n // Rebasing/resetting history to deal with externally-sourced changes\n\n function rebaseHistSelSingle(pos, from, to, diff) {\n if (to < pos.line) {\n pos.line += diff;\n } else if (from < pos.line) {\n pos.line = from;\n pos.ch = 0;\n }\n }\n\n // Tries to rebase an array of history events given a change in the\n // document. If the change touches the same lines as the event, the\n // event, and everything 'behind' it, is discarded. If the change is\n // before the event, the event's positions are updated. Uses a\n // copy-on-write scheme for the positions, to avoid having to\n // reallocate them all on every rebase, but also avoid problems with\n // shared position objects being unsafely updated.\n function rebaseHistArray(array, from, to, diff) {\n for (var i = 0; i < array.length; ++i) {\n var sub = array[i], ok = true;\n if (sub.ranges) {\n if (!sub.copied) { sub = array[i] = sub.deepCopy(); sub.copied = true; }\n for (var j = 0; j < sub.ranges.length; j++) {\n rebaseHistSelSingle(sub.ranges[j].anchor, from, to, diff);\n rebaseHistSelSingle(sub.ranges[j].head, from, to, diff);\n }\n continue;\n }\n for (var j = 0; j < sub.changes.length; ++j) {\n var cur = sub.changes[j];\n if (to < cur.from.line) {\n cur.from = Pos(cur.from.line + diff, cur.from.ch);\n cur.to = Pos(cur.to.line + diff, cur.to.ch);\n } else if (from <= cur.to.line) {\n ok = false;\n break;\n }\n }\n if (!ok) {\n array.splice(0, i + 1);\n i = 0;\n }\n }\n }\n\n function rebaseHist(hist, change) {\n var from = change.from.line, to = change.to.line, diff = change.text.length - (to - from) - 1;\n rebaseHistArray(hist.done, from, to, diff);\n rebaseHistArray(hist.undone, from, to, diff);\n }\n\n // EVENT UTILITIES\n\n // Due to the fact that we still support jurassic IE versions, some\n // compatibility wrappers are needed.\n\n var e_preventDefault = CodeMirror.e_preventDefault = function(e) {\n if (e.preventDefault) e.preventDefault();\n else e.returnValue = false;\n };\n var e_stopPropagation = CodeMirror.e_stopPropagation = function(e) {\n if (e.stopPropagation) e.stopPropagation();\n else e.cancelBubble = true;\n };\n function e_defaultPrevented(e) {\n return e.defaultPrevented != null ? e.defaultPrevented : e.returnValue == false;\n }\n var e_stop = CodeMirror.e_stop = function(e) {e_preventDefault(e); e_stopPropagation(e);};\n\n function e_target(e) {return e.target || e.srcElement;}\n function e_button(e) {\n var b = e.which;\n if (b == null) {\n if (e.button & 1) b = 1;\n else if (e.button & 2) b = 3;\n else if (e.button & 4) b = 2;\n }\n if (mac && e.ctrlKey && b == 1) b = 3;\n return b;\n }\n\n // EVENT HANDLING\n\n // Lightweight event framework. on/off also work on DOM nodes,\n // registering native DOM handlers.\n\n var on = CodeMirror.on = function(emitter, type, f) {\n if (emitter.addEventListener)\n emitter.addEventListener(type, f, false);\n else if (emitter.attachEvent)\n emitter.attachEvent(\"on\" + type, f);\n else {\n var map = emitter._handlers || (emitter._handlers = {});\n var arr = map[type] || (map[type] = []);\n arr.push(f);\n }\n };\n\n var off = CodeMirror.off = function(emitter, type, f) {\n if (emitter.removeEventListener)\n emitter.removeEventListener(type, f, false);\n else if (emitter.detachEvent)\n emitter.detachEvent(\"on\" + type, f);\n else {\n var arr = emitter._handlers && emitter._handlers[type];\n if (!arr) return;\n for (var i = 0; i < arr.length; ++i)\n if (arr[i] == f) { arr.splice(i, 1); break; }\n }\n };\n\n var signal = CodeMirror.signal = function(emitter, type /*, values...*/) {\n var arr = emitter._handlers && emitter._handlers[type];\n if (!arr) return;\n var args = Array.prototype.slice.call(arguments, 2);\n for (var i = 0; i < arr.length; ++i) arr[i].apply(null, args);\n };\n\n // Often, we want to signal events at a point where we are in the\n // middle of some work, but don't want the handler to start calling\n // other methods on the editor, which might be in an inconsistent\n // state or simply not expect any other events to happen.\n // signalLater looks whether there are any handlers, and schedules\n // them to be executed when the last operation ends, or, if no\n // operation is active, when a timeout fires.\n var delayedCallbacks, delayedCallbackDepth = 0;\n function signalLater(emitter, type /*, values...*/) {\n var arr = emitter._handlers && emitter._handlers[type];\n if (!arr) return;\n var args = Array.prototype.slice.call(arguments, 2);\n if (!delayedCallbacks) {\n ++delayedCallbackDepth;\n delayedCallbacks = [];\n setTimeout(fireDelayed, 0);\n }\n function bnd(f) {return function(){f.apply(null, args);};};\n for (var i = 0; i < arr.length; ++i)\n delayedCallbacks.push(bnd(arr[i]));\n }\n\n function fireDelayed() {\n --delayedCallbackDepth;\n var delayed = delayedCallbacks;\n delayedCallbacks = null;\n for (var i = 0; i < delayed.length; ++i) delayed[i]();\n }\n\n // The DOM events that CodeMirror handles can be overridden by\n // registering a (non-DOM) handler on the editor for the event name,\n // and preventDefault-ing the event in that handler.\n function signalDOMEvent(cm, e, override) {\n signal(cm, override || e.type, cm, e);\n return e_defaultPrevented(e) || e.codemirrorIgnore;\n }\n\n function signalCursorActivity(cm) {\n var arr = cm._handlers && cm._handlers.cursorActivity;\n if (!arr) return;\n var set = cm.curOp.cursorActivityHandlers || (cm.curOp.cursorActivityHandlers = []);\n for (var i = 0; i < arr.length; ++i) if (indexOf(set, arr[i]) == -1)\n set.push(arr[i]);\n }\n\n function hasHandler(emitter, type) {\n var arr = emitter._handlers && emitter._handlers[type];\n return arr && arr.length > 0;\n }\n\n // Add on and off methods to a constructor's prototype, to make\n // registering events on such objects more convenient.\n function eventMixin(ctor) {\n ctor.prototype.on = function(type, f) {on(this, type, f);};\n ctor.prototype.off = function(type, f) {off(this, type, f);};\n }\n\n // MISC UTILITIES\n\n // Number of pixels added to scroller and sizer to hide scrollbar\n var scrollerCutOff = 30;\n\n // Returned or thrown by various protocols to signal 'I'm not\n // handling this'.\n var Pass = CodeMirror.Pass = {toString: function(){return \"CodeMirror.Pass\";}};\n\n // Reused option objects for setSelection & friends\n var sel_dontScroll = {scroll: false}, sel_mouse = {origin: \"*mouse\"}, sel_move = {origin: \"+move\"};\n\n function Delayed() {this.id = null;}\n Delayed.prototype.set = function(ms, f) {\n clearTimeout(this.id);\n this.id = setTimeout(f, ms);\n };\n\n // Counts the column offset in a string, taking tabs into account.\n // Used mostly to find indentation.\n var countColumn = CodeMirror.countColumn = function(string, end, tabSize, startIndex, startValue) {\n if (end == null) {\n end = string.search(/[^\\s\\u00a0]/);\n if (end == -1) end = string.length;\n }\n for (var i = startIndex || 0, n = startValue || 0;;) {\n var nextTab = string.indexOf(\"\\t\", i);\n if (nextTab < 0 || nextTab >= end)\n return n + (end - i);\n n += nextTab - i;\n n += tabSize - (n % tabSize);\n i = nextTab + 1;\n }\n };\n\n // The inverse of countColumn -- find the offset that corresponds to\n // a particular column.\n function findColumn(string, goal, tabSize) {\n for (var pos = 0, col = 0;;) {\n var nextTab = string.indexOf(\"\\t\", pos);\n if (nextTab == -1) nextTab = string.length;\n var skipped = nextTab - pos;\n if (nextTab == string.length || col + skipped >= goal)\n return pos + Math.min(skipped, goal - col);\n col += nextTab - pos;\n col += tabSize - (col % tabSize);\n pos = nextTab + 1;\n if (col >= goal) return pos;\n }\n }\n\n var spaceStrs = [\"\"];\n function spaceStr(n) {\n while (spaceStrs.length <= n)\n spaceStrs.push(lst(spaceStrs) + \" \");\n return spaceStrs[n];\n }\n\n function lst(arr) { return arr[arr.length-1]; }\n\n var selectInput = function(node) { node.select(); };\n if (ios) // Mobile Safari apparently has a bug where select() is broken.\n selectInput = function(node) { node.selectionStart = 0; node.selectionEnd = node.value.length; };\n else if (ie) // Suppress mysterious IE10 errors\n selectInput = function(node) { try { node.select(); } catch(_e) {} };\n\n function indexOf(array, elt) {\n for (var i = 0; i < array.length; ++i)\n if (array[i] == elt) return i;\n return -1;\n }\n if ([].indexOf) indexOf = function(array, elt) { return array.indexOf(elt); };\n function map(array, f) {\n var out = [];\n for (var i = 0; i < array.length; i++) out[i] = f(array[i], i);\n return out;\n }\n if ([].map) map = function(array, f) { return array.map(f); };\n\n function createObj(base, props) {\n var inst;\n if (Object.create) {\n inst = Object.create(base);\n } else {\n var ctor = function() {};\n ctor.prototype = base;\n inst = new ctor();\n }\n if (props) copyObj(props, inst);\n return inst;\n };\n\n function copyObj(obj, target, overwrite) {\n if (!target) target = {};\n for (var prop in obj)\n if (obj.hasOwnProperty(prop) && (overwrite !== false || !target.hasOwnProperty(prop)))\n target[prop] = obj[prop];\n return target;\n }\n\n function bind(f) {\n var args = Array.prototype.slice.call(arguments, 1);\n return function(){return f.apply(null, args);};\n }\n\n var nonASCIISingleCaseWordChar = /[\\u00df\\u3040-\\u309f\\u30a0-\\u30ff\\u3400-\\u4db5\\u4e00-\\u9fcc\\uac00-\\ud7af]/;\n var isWordCharBasic = CodeMirror.isWordChar = function(ch) {\n return /\\w/.test(ch) || ch > \"\\x80\" &&\n (ch.toUpperCase() != ch.toLowerCase() || nonASCIISingleCaseWordChar.test(ch));\n };\n function isWordChar(ch, helper) {\n if (!helper) return isWordCharBasic(ch);\n if (helper.source.indexOf(\"\\\\w\") > -1 && isWordCharBasic(ch)) return true;\n return helper.test(ch);\n }\n\n function isEmpty(obj) {\n for (var n in obj) if (obj.hasOwnProperty(n) && obj[n]) return false;\n return true;\n }\n\n // Extending unicode characters. A series of a non-extending char +\n // any number of extending chars is treated as a single unit as far\n // as editing and measuring is concerned. This is not fully correct,\n // since some scripts/fonts/browsers also treat other configurations\n // of code points as a group.\n var extendingChars = /[\\u0300-\\u036f\\u0483-\\u0489\\u0591-\\u05bd\\u05bf\\u05c1\\u05c2\\u05c4\\u05c5\\u05c7\\u0610-\\u061a\\u064b-\\u065e\\u0670\\u06d6-\\u06dc\\u06de-\\u06e4\\u06e7\\u06e8\\u06ea-\\u06ed\\u0711\\u0730-\\u074a\\u07a6-\\u07b0\\u07eb-\\u07f3\\u0816-\\u0819\\u081b-\\u0823\\u0825-\\u0827\\u0829-\\u082d\\u0900-\\u0902\\u093c\\u0941-\\u0948\\u094d\\u0951-\\u0955\\u0962\\u0963\\u0981\\u09bc\\u09be\\u09c1-\\u09c4\\u09cd\\u09d7\\u09e2\\u09e3\\u0a01\\u0a02\\u0a3c\\u0a41\\u0a42\\u0a47\\u0a48\\u0a4b-\\u0a4d\\u0a51\\u0a70\\u0a71\\u0a75\\u0a81\\u0a82\\u0abc\\u0ac1-\\u0ac5\\u0ac7\\u0ac8\\u0acd\\u0ae2\\u0ae3\\u0b01\\u0b3c\\u0b3e\\u0b3f\\u0b41-\\u0b44\\u0b4d\\u0b56\\u0b57\\u0b62\\u0b63\\u0b82\\u0bbe\\u0bc0\\u0bcd\\u0bd7\\u0c3e-\\u0c40\\u0c46-\\u0c48\\u0c4a-\\u0c4d\\u0c55\\u0c56\\u0c62\\u0c63\\u0cbc\\u0cbf\\u0cc2\\u0cc6\\u0ccc\\u0ccd\\u0cd5\\u0cd6\\u0ce2\\u0ce3\\u0d3e\\u0d41-\\u0d44\\u0d4d\\u0d57\\u0d62\\u0d63\\u0dca\\u0dcf\\u0dd2-\\u0dd4\\u0dd6\\u0ddf\\u0e31\\u0e34-\\u0e3a\\u0e47-\\u0e4e\\u0eb1\\u0eb4-\\u0eb9\\u0ebb\\u0ebc\\u0ec8-\\u0ecd\\u0f18\\u0f19\\u0f35\\u0f37\\u0f39\\u0f71-\\u0f7e\\u0f80-\\u0f84\\u0f86\\u0f87\\u0f90-\\u0f97\\u0f99-\\u0fbc\\u0fc6\\u102d-\\u1030\\u1032-\\u1037\\u1039\\u103a\\u103d\\u103e\\u1058\\u1059\\u105e-\\u1060\\u1071-\\u1074\\u1082\\u1085\\u1086\\u108d\\u109d\\u135f\\u1712-\\u1714\\u1732-\\u1734\\u1752\\u1753\\u1772\\u1773\\u17b7-\\u17bd\\u17c6\\u17c9-\\u17d3\\u17dd\\u180b-\\u180d\\u18a9\\u1920-\\u1922\\u1927\\u1928\\u1932\\u1939-\\u193b\\u1a17\\u1a18\\u1a56\\u1a58-\\u1a5e\\u1a60\\u1a62\\u1a65-\\u1a6c\\u1a73-\\u1a7c\\u1a7f\\u1b00-\\u1b03\\u1b34\\u1b36-\\u1b3a\\u1b3c\\u1b42\\u1b6b-\\u1b73\\u1b80\\u1b81\\u1ba2-\\u1ba5\\u1ba8\\u1ba9\\u1c2c-\\u1c33\\u1c36\\u1c37\\u1cd0-\\u1cd2\\u1cd4-\\u1ce0\\u1ce2-\\u1ce8\\u1ced\\u1dc0-\\u1de6\\u1dfd-\\u1dff\\u200c\\u200d\\u20d0-\\u20f0\\u2cef-\\u2cf1\\u2de0-\\u2dff\\u302a-\\u302f\\u3099\\u309a\\ua66f-\\ua672\\ua67c\\ua67d\\ua6f0\\ua6f1\\ua802\\ua806\\ua80b\\ua825\\ua826\\ua8c4\\ua8e0-\\ua8f1\\ua926-\\ua92d\\ua947-\\ua951\\ua980-\\ua982\\ua9b3\\ua9b6-\\ua9b9\\ua9bc\\uaa29-\\uaa2e\\uaa31\\uaa32\\uaa35\\uaa36\\uaa43\\uaa4c\\uaab0\\uaab2-\\uaab4\\uaab7\\uaab8\\uaabe\\uaabf\\uaac1\\uabe5\\uabe8\\uabed\\udc00-\\udfff\\ufb1e\\ufe00-\\ufe0f\\ufe20-\\ufe26\\uff9e\\uff9f]/;\n function isExtendingChar(ch) { return ch.charCodeAt(0) >= 768 && extendingChars.test(ch); }\n\n // DOM UTILITIES\n\n function elt(tag, content, className, style) {\n var e = document.createElement(tag);\n if (className) e.className = className;\n if (style) e.style.cssText = style;\n if (typeof content == \"string\") e.appendChild(document.createTextNode(content));\n else if (content) for (var i = 0; i < content.length; ++i) e.appendChild(content[i]);\n return e;\n }\n\n var range;\n if (document.createRange) range = function(node, start, end) {\n var r = document.createRange();\n r.setEnd(node, end);\n r.setStart(node, start);\n return r;\n };\n else range = function(node, start, end) {\n var r = document.body.createTextRange();\n r.moveToElementText(node.parentNode);\n r.collapse(true);\n r.moveEnd(\"character\", end);\n r.moveStart(\"character\", start);\n return r;\n };\n\n function removeChildren(e) {\n for (var count = e.childNodes.length; count > 0; --count)\n e.removeChild(e.firstChild);\n return e;\n }\n\n function removeChildrenAndAdd(parent, e) {\n return removeChildren(parent).appendChild(e);\n }\n\n function contains(parent, child) {\n if (parent.contains)\n return parent.contains(child);\n while (child = child.parentNode)\n if (child == parent) return true;\n }\n\n function activeElt() { return document.activeElement; }\n // Older versions of IE throws unspecified error when touching\n // document.activeElement in some cases (during loading, in iframe)\n if (ie_upto10) activeElt = function() {\n try { return document.activeElement; }\n catch(e) { return document.body; }\n };\n\n function classTest(cls) { return new RegExp(\"\\\\b\" + cls + \"\\\\b\\\\s*\"); }\n function rmClass(node, cls) {\n var test = classTest(cls);\n if (test.test(node.className)) node.className = node.className.replace(test, \"\");\n }\n function addClass(node, cls) {\n if (!classTest(cls).test(node.className)) node.className += \" \" + cls;\n }\n function joinClasses(a, b) {\n var as = a.split(\" \");\n for (var i = 0; i < as.length; i++)\n if (as[i] && !classTest(as[i]).test(b)) b += \" \" + as[i];\n return b;\n }\n\n // WINDOW-WIDE EVENTS\n\n // These must be handled carefully, because naively registering a\n // handler for each editor will cause the editors to never be\n // garbage collected.\n\n function forEachCodeMirror(f) {\n if (!document.body.getElementsByClassName) return;\n var byClass = document.body.getElementsByClassName(\"CodeMirror\");\n for (var i = 0; i < byClass.length; i++) {\n var cm = byClass[i].CodeMirror;\n if (cm) f(cm);\n }\n }\n\n var globalsRegistered = false;\n function ensureGlobalHandlers() {\n if (globalsRegistered) return;\n registerGlobalHandlers();\n globalsRegistered = true;\n }\n function registerGlobalHandlers() {\n // When the window resizes, we need to refresh active editors.\n var resizeTimer;\n on(window, \"resize\", function() {\n if (resizeTimer == null) resizeTimer = setTimeout(function() {\n resizeTimer = null;\n knownScrollbarWidth = null;\n forEachCodeMirror(onResize);\n }, 100);\n });\n // When the window loses focus, we want to show the editor as blurred\n on(window, \"blur\", function() {\n forEachCodeMirror(onBlur);\n });\n }\n\n // FEATURE DETECTION\n\n // Detect drag-and-drop\n var dragAndDrop = function() {\n // There is *some* kind of drag-and-drop support in IE6-8, but I\n // couldn't get it to work yet.\n if (ie_upto8) return false;\n var div = elt('div');\n return \"draggable\" in div || \"dragDrop\" in div;\n }();\n\n var knownScrollbarWidth;\n function scrollbarWidth(measure) {\n if (knownScrollbarWidth != null) return knownScrollbarWidth;\n var test = elt(\"div\", null, null, \"width: 50px; height: 50px; overflow-x: scroll\");\n removeChildrenAndAdd(measure, test);\n if (test.offsetWidth)\n knownScrollbarWidth = test.offsetHeight - test.clientHeight;\n return knownScrollbarWidth || 0;\n }\n\n var zwspSupported;\n function zeroWidthElement(measure) {\n if (zwspSupported == null) {\n var test = elt(\"span\", \"\\u200b\");\n removeChildrenAndAdd(measure, elt(\"span\", [test, document.createTextNode(\"x\")]));\n if (measure.firstChild.offsetHeight != 0)\n zwspSupported = test.offsetWidth <= 1 && test.offsetHeight > 2 && !ie_upto7;\n }\n if (zwspSupported) return elt(\"span\", \"\\u200b\");\n else return elt(\"span\", \"\\u00a0\", null, \"display: inline-block; width: 1px; margin-right: -1px\");\n }\n\n // Feature-detect IE's crummy client rect reporting for bidi text\n var badBidiRects;\n function hasBadBidiRects(measure) {\n if (badBidiRects != null) return badBidiRects;\n var txt = removeChildrenAndAdd(measure, document.createTextNode(\"A\\u062eA\"));\n var r0 = range(txt, 0, 1).getBoundingClientRect();\n if (r0.left == r0.right) return false;\n var r1 = range(txt, 1, 2).getBoundingClientRect();\n return badBidiRects = (r1.right - r0.right < 3);\n }\n\n // See if \"\".split is the broken IE version, if so, provide an\n // alternative way to split lines.\n var splitLines = CodeMirror.splitLines = \"\\n\\nb\".split(/\\n/).length != 3 ? function(string) {\n var pos = 0, result = [], l = string.length;\n while (pos <= l) {\n var nl = string.indexOf(\"\\n\", pos);\n if (nl == -1) nl = string.length;\n var line = string.slice(pos, string.charAt(nl - 1) == \"\\r\" ? nl - 1 : nl);\n var rt = line.indexOf(\"\\r\");\n if (rt != -1) {\n result.push(line.slice(0, rt));\n pos += rt + 1;\n } else {\n result.push(line);\n pos = nl + 1;\n }\n }\n return result;\n } : function(string){return string.split(/\\r\\n?|\\n/);};\n\n var hasSelection = window.getSelection ? function(te) {\n try { return te.selectionStart != te.selectionEnd; }\n catch(e) { return false; }\n } : function(te) {\n try {var range = te.ownerDocument.selection.createRange();}\n catch(e) {}\n if (!range || range.parentElement() != te) return false;\n return range.compareEndPoints(\"StartToEnd\", range) != 0;\n };\n\n var hasCopyEvent = (function() {\n var e = elt(\"div\");\n if (\"oncopy\" in e) return true;\n e.setAttribute(\"oncopy\", \"return;\");\n return typeof e.oncopy == \"function\";\n })();\n\n // KEY NAMES\n\n var keyNames = {3: \"Enter\", 8: \"Backspace\", 9: \"Tab\", 13: \"Enter\", 16: \"Shift\", 17: \"Ctrl\", 18: \"Alt\",\n 19: \"Pause\", 20: \"CapsLock\", 27: \"Esc\", 32: \"Space\", 33: \"PageUp\", 34: \"PageDown\", 35: \"End\",\n 36: \"Home\", 37: \"Left\", 38: \"Up\", 39: \"Right\", 40: \"Down\", 44: \"PrintScrn\", 45: \"Insert\",\n 46: \"Delete\", 59: \";\", 61: \"=\", 91: \"Mod\", 92: \"Mod\", 93: \"Mod\", 107: \"=\", 109: \"-\", 127: \"Delete\",\n 173: \"-\", 186: \";\", 187: \"=\", 188: \",\", 189: \"-\", 190: \".\", 191: \"/\", 192: \"`\", 219: \"[\", 220: \"\\\\\",\n 221: \"]\", 222: \"'\", 63232: \"Up\", 63233: \"Down\", 63234: \"Left\", 63235: \"Right\", 63272: \"Delete\",\n 63273: \"Home\", 63275: \"End\", 63276: \"PageUp\", 63277: \"PageDown\", 63302: \"Insert\"};\n CodeMirror.keyNames = keyNames;\n (function() {\n // Number keys\n for (var i = 0; i < 10; i++) keyNames[i + 48] = keyNames[i + 96] = String(i);\n // Alphabetic keys\n for (var i = 65; i <= 90; i++) keyNames[i] = String.fromCharCode(i);\n // Function keys\n for (var i = 1; i <= 12; i++) keyNames[i + 111] = keyNames[i + 63235] = \"F\" + i;\n })();\n\n // BIDI HELPERS\n\n function iterateBidiSections(order, from, to, f) {\n if (!order) return f(from, to, \"ltr\");\n var found = false;\n for (var i = 0; i < order.length; ++i) {\n var part = order[i];\n if (part.from < to && part.to > from || from == to && part.to == from) {\n f(Math.max(part.from, from), Math.min(part.to, to), part.level == 1 ? \"rtl\" : \"ltr\");\n found = true;\n }\n }\n if (!found) f(from, to, \"ltr\");\n }\n\n function bidiLeft(part) { return part.level % 2 ? part.to : part.from; }\n function bidiRight(part) { return part.level % 2 ? part.from : part.to; }\n\n function lineLeft(line) { var order = getOrder(line); return order ? bidiLeft(order[0]) : 0; }\n function lineRight(line) {\n var order = getOrder(line);\n if (!order) return line.text.length;\n return bidiRight(lst(order));\n }\n\n function lineStart(cm, lineN) {\n var line = getLine(cm.doc, lineN);\n var visual = visualLine(line);\n if (visual != line) lineN = lineNo(visual);\n var order = getOrder(visual);\n var ch = !order ? 0 : order[0].level % 2 ? lineRight(visual) : lineLeft(visual);\n return Pos(lineN, ch);\n }\n function lineEnd(cm, lineN) {\n var merged, line = getLine(cm.doc, lineN);\n while (merged = collapsedSpanAtEnd(line)) {\n line = merged.find(1, true).line;\n lineN = null;\n }\n var order = getOrder(line);\n var ch = !order ? line.text.length : order[0].level % 2 ? lineLeft(line) : lineRight(line);\n return Pos(lineN == null ? lineNo(line) : lineN, ch);\n }\n\n function compareBidiLevel(order, a, b) {\n var linedir = order[0].level;\n if (a == linedir) return true;\n if (b == linedir) return false;\n return a < b;\n }\n var bidiOther;\n function getBidiPartAt(order, pos) {\n bidiOther = null;\n for (var i = 0, found; i < order.length; ++i) {\n var cur = order[i];\n if (cur.from < pos && cur.to > pos) return i;\n if ((cur.from == pos || cur.to == pos)) {\n if (found == null) {\n found = i;\n } else if (compareBidiLevel(order, cur.level, order[found].level)) {\n if (cur.from != cur.to) bidiOther = found;\n return i;\n } else {\n if (cur.from != cur.to) bidiOther = i;\n return found;\n }\n }\n }\n return found;\n }\n\n function moveInLine(line, pos, dir, byUnit) {\n if (!byUnit) return pos + dir;\n do pos += dir;\n while (pos > 0 && isExtendingChar(line.text.charAt(pos)));\n return pos;\n }\n\n // This is needed in order to move 'visually' through bi-directional\n // text -- i.e., pressing left should make the cursor go left, even\n // when in RTL text. The tricky part is the 'jumps', where RTL and\n // LTR text touch each other. This often requires the cursor offset\n // to move more than one unit, in order to visually move one unit.\n function moveVisually(line, start, dir, byUnit) {\n var bidi = getOrder(line);\n if (!bidi) return moveLogically(line, start, dir, byUnit);\n var pos = getBidiPartAt(bidi, start), part = bidi[pos];\n var target = moveInLine(line, start, part.level % 2 ? -dir : dir, byUnit);\n\n for (;;) {\n if (target > part.from && target < part.to) return target;\n if (target == part.from || target == part.to) {\n if (getBidiPartAt(bidi, target) == pos) return target;\n part = bidi[pos += dir];\n return (dir > 0) == part.level % 2 ? part.to : part.from;\n } else {\n part = bidi[pos += dir];\n if (!part) return null;\n if ((dir > 0) == part.level % 2)\n target = moveInLine(line, part.to, -1, byUnit);\n else\n target = moveInLine(line, part.from, 1, byUnit);\n }\n }\n }\n\n function moveLogically(line, start, dir, byUnit) {\n var target = start + dir;\n if (byUnit) while (target > 0 && isExtendingChar(line.text.charAt(target))) target += dir;\n return target < 0 || target > line.text.length ? null : target;\n }\n\n // Bidirectional ordering algorithm\n // See http://unicode.org/reports/tr9/tr9-13.html for the algorithm\n // that this (partially) implements.\n\n // One-char codes used for character types:\n // L (L): Left-to-Right\n // R (R): Right-to-Left\n // r (AL): Right-to-Left Arabic\n // 1 (EN): European Number\n // + (ES): European Number Separator\n // % (ET): European Number Terminator\n // n (AN): Arabic Number\n // , (CS): Common Number Separator\n // m (NSM): Non-Spacing Mark\n // b (BN): Boundary Neutral\n // s (B): Paragraph Separator\n // t (S): Segment Separator\n // w (WS): Whitespace\n // N (ON): Other Neutrals\n\n // Returns null if characters are ordered as they appear\n // (left-to-right), or an array of sections ({from, to, level}\n // objects) in the order in which they occur visually.\n var bidiOrdering = (function() {\n // Character types for codepoints 0 to 0xff\n var lowTypes = \"bbbbbbbbbtstwsbbbbbbbbbbbbbbssstwNN%%%NNNNNN,N,N1111111111NNNNNNNLLLLLLLLLLLLLLLLLLLLLLLLLLNNNNNNLLLLLLLLLLLLLLLLLLLLLLLLLLNNNNbbbbbbsbbbbbbbbbbbbbbbbbbbbbbbbbb,N%%%%NNNNLNNNNN%%11NLNNN1LNNNNNLLLLLLLLLLLLLLLLLLLLLLLNLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLN\";\n // Character types for codepoints 0x600 to 0x6ff\n var arabicTypes = \"rrrrrrrrrrrr,rNNmmmmmmrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmmmrrrrrrrnnnnnnnnnn%nnrrrmrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmmmmmmmmNmmmm\";\n function charType(code) {\n if (code <= 0xf7) return lowTypes.charAt(code);\n else if (0x590 <= code && code <= 0x5f4) return \"R\";\n else if (0x600 <= code && code <= 0x6ed) return arabicTypes.charAt(code - 0x600);\n else if (0x6ee <= code && code <= 0x8ac) return \"r\";\n else if (0x2000 <= code && code <= 0x200b) return \"w\";\n else if (code == 0x200c) return \"b\";\n else return \"L\";\n }\n\n var bidiRE = /[\\u0590-\\u05f4\\u0600-\\u06ff\\u0700-\\u08ac]/;\n var isNeutral = /[stwN]/, isStrong = /[LRr]/, countsAsLeft = /[Lb1n]/, countsAsNum = /[1n]/;\n // Browsers seem to always treat the boundaries of block elements as being L.\n var outerType = \"L\";\n\n function BidiSpan(level, from, to) {\n this.level = level;\n this.from = from; this.to = to;\n }\n\n return function(str) {\n if (!bidiRE.test(str)) return false;\n var len = str.length, types = [];\n for (var i = 0, type; i < len; ++i)\n types.push(type = charType(str.charCodeAt(i)));\n\n // W1. Examine each non-spacing mark (NSM) in the level run, and\n // change the type of the NSM to the type of the previous\n // character. If the NSM is at the start of the level run, it will\n // get the type of sor.\n for (var i = 0, prev = outerType; i < len; ++i) {\n var type = types[i];\n if (type == \"m\") types[i] = prev;\n else prev = type;\n }\n\n // W2. Search backwards from each instance of a European number\n // until the first strong type (R, L, AL, or sor) is found. If an\n // AL is found, change the type of the European number to Arabic\n // number.\n // W3. Change all ALs to R.\n for (var i = 0, cur = outerType; i < len; ++i) {\n var type = types[i];\n if (type == \"1\" && cur == \"r\") types[i] = \"n\";\n else if (isStrong.test(type)) { cur = type; if (type == \"r\") types[i] = \"R\"; }\n }\n\n // W4. A single European separator between two European numbers\n // changes to a European number. A single common separator between\n // two numbers of the same type changes to that type.\n for (var i = 1, prev = types[0]; i < len - 1; ++i) {\n var type = types[i];\n if (type == \"+\" && prev == \"1\" && types[i+1] == \"1\") types[i] = \"1\";\n else if (type == \",\" && prev == types[i+1] &&\n (prev == \"1\" || prev == \"n\")) types[i] = prev;\n prev = type;\n }\n\n // W5. A sequence of European terminators adjacent to European\n // numbers changes to all European numbers.\n // W6. Otherwise, separators and terminators change to Other\n // Neutral.\n for (var i = 0; i < len; ++i) {\n var type = types[i];\n if (type == \",\") types[i] = \"N\";\n else if (type == \"%\") {\n for (var end = i + 1; end < len && types[end] == \"%\"; ++end) {}\n var replace = (i && types[i-1] == \"!\") || (end < len && types[end] == \"1\") ? \"1\" : \"N\";\n for (var j = i; j < end; ++j) types[j] = replace;\n i = end - 1;\n }\n }\n\n // W7. Search backwards from each instance of a European number\n // until the first strong type (R, L, or sor) is found. If an L is\n // found, then change the type of the European number to L.\n for (var i = 0, cur = outerType; i < len; ++i) {\n var type = types[i];\n if (cur == \"L\" && type == \"1\") types[i] = \"L\";\n else if (isStrong.test(type)) cur = type;\n }\n\n // N1. A sequence of neutrals takes the direction of the\n // surrounding strong text if the text on both sides has the same\n // direction. European and Arabic numbers act as if they were R in\n // terms of their influence on neutrals. Start-of-level-run (sor)\n // and end-of-level-run (eor) are used at level run boundaries.\n // N2. Any remaining neutrals take the embedding direction.\n for (var i = 0; i < len; ++i) {\n if (isNeutral.test(types[i])) {\n for (var end = i + 1; end < len && isNeutral.test(types[end]); ++end) {}\n var before = (i ? types[i-1] : outerType) == \"L\";\n var after = (end < len ? types[end] : outerType) == \"L\";\n var replace = before || after ? \"L\" : \"R\";\n for (var j = i; j < end; ++j) types[j] = replace;\n i = end - 1;\n }\n }\n\n // Here we depart from the documented algorithm, in order to avoid\n // building up an actual levels array. Since there are only three\n // levels (0, 1, 2) in an implementation that doesn't take\n // explicit embedding into account, we can build up the order on\n // the fly, without following the level-based algorithm.\n var order = [], m;\n for (var i = 0; i < len;) {\n if (countsAsLeft.test(types[i])) {\n var start = i;\n for (++i; i < len && countsAsLeft.test(types[i]); ++i) {}\n order.push(new BidiSpan(0, start, i));\n } else {\n var pos = i, at = order.length;\n for (++i; i < len && types[i] != \"L\"; ++i) {}\n for (var j = pos; j < i;) {\n if (countsAsNum.test(types[j])) {\n if (pos < j) order.splice(at, 0, new BidiSpan(1, pos, j));\n var nstart = j;\n for (++j; j < i && countsAsNum.test(types[j]); ++j) {}\n order.splice(at, 0, new BidiSpan(2, nstart, j));\n pos = j;\n } else ++j;\n }\n if (pos < i) order.splice(at, 0, new BidiSpan(1, pos, i));\n }\n }\n if (order[0].level == 1 && (m = str.match(/^\\s+/))) {\n order[0].from = m[0].length;\n order.unshift(new BidiSpan(0, 0, m[0].length));\n }\n if (lst(order).level == 1 && (m = str.match(/\\s+$/))) {\n lst(order).to -= m[0].length;\n order.push(new BidiSpan(0, len - m[0].length, len));\n }\n if (order[0].level != lst(order).level)\n order.push(new BidiSpan(order[0].level, len, len));\n\n return order;\n };\n })();\n\n // THE END\n\n CodeMirror.version = \"4.1.1\";\n\n return CodeMirror;\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/lib/codemirror.css": {
"type": "text/css",
"title": "$:/plugins/tiddlywiki/codemirror/lib/codemirror.css",
"tags": "[[$:/tags/Stylesheet]]",
"text": "/* BASICS */\n\n.CodeMirror {\n /* Set height, width, borders, and global font properties here */\n font-family: monospace;\n height: 300px;\n}\n.CodeMirror-scroll {\n /* Set scrolling behaviour here */\n overflow: auto;\n}\n\n/* PADDING */\n\n.CodeMirror-lines {\n padding: 4px 0; /* Vertical padding around content */\n}\n.CodeMirror pre {\n padding: 0 4px; /* Horizontal padding of content */\n}\n\n.CodeMirror-scrollbar-filler, .CodeMirror-gutter-filler {\n background-color: white; /* The little square between H and V scrollbars */\n}\n\n/* GUTTER */\n\n.CodeMirror-gutters {\n border-right: 1px solid #ddd;\n background-color: #f7f7f7;\n white-space: nowrap;\n}\n.CodeMirror-linenumbers {}\n.CodeMirror-linenumber {\n padding: 0 3px 0 5px;\n min-width: 20px;\n text-align: right;\n color: #999;\n -moz-box-sizing: content-box;\n box-sizing: content-box;\n}\n\n/* CURSOR */\n\n.CodeMirror div.CodeMirror-cursor {\n border-left: 1px solid black;\n}\n/* Shown when moving in bi-directional text */\n.CodeMirror div.CodeMirror-secondarycursor {\n border-left: 1px solid silver;\n}\n.CodeMirror.cm-keymap-fat-cursor div.CodeMirror-cursor {\n width: auto;\n border: 0;\n background: #7e7;\n}\n/* Can style cursor different in overwrite (non-insert) mode */\ndiv.CodeMirror-overwrite div.CodeMirror-cursor {}\n\n.cm-tab { display: inline-block; }\n\n.CodeMirror-ruler {\n border-left: 1px solid #ccc;\n position: absolute;\n}\n\n/* DEFAULT THEME */\n\n.cm-s-default .cm-keyword {color: #708;}\n.cm-s-default .cm-atom {color: #219;}\n.cm-s-default .cm-number {color: #164;}\n.cm-s-default .cm-def {color: #00f;}\n.cm-s-default .cm-variable,\n.cm-s-default .cm-punctuation,\n.cm-s-default .cm-property,\n.cm-s-default .cm-operator {}\n.cm-s-default .cm-variable-2 {color: #05a;}\n.cm-s-default .cm-variable-3 {color: #085;}\n.cm-s-default .cm-comment {color: #a50;}\n.cm-s-default .cm-string {color: #a11;}\n.cm-s-default .cm-string-2 {color: #f50;}\n.cm-s-default .cm-meta {color: #555;}\n.cm-s-default .cm-qualifier {color: #555;}\n.cm-s-default .cm-builtin {color: #30a;}\n.cm-s-default .cm-bracket {color: #997;}\n.cm-s-default .cm-tag {color: #170;}\n.cm-s-default .cm-attribute {color: #00c;}\n.cm-s-default .cm-header {color: blue;}\n.cm-s-default .cm-quote {color: #090;}\n.cm-s-default .cm-hr {color: #999;}\n.cm-s-default .cm-link {color: #00c;}\n\n.cm-negative {color: #d44;}\n.cm-positive {color: #292;}\n.cm-header, .cm-strong {font-weight: bold;}\n.cm-em {font-style: italic;}\n.cm-link {text-decoration: underline;}\n\n.cm-s-default .cm-error {color: #f00;}\n.cm-invalidchar {color: #f00;}\n\ndiv.CodeMirror span.CodeMirror-matchingbracket {color: #0f0;}\ndiv.CodeMirror span.CodeMirror-nonmatchingbracket {color: #f22;}\n.CodeMirror-activeline-background {background: #e8f2ff;}\n\n/* STOP */\n\n/* The rest of this file contains styles related to the mechanics of\n the editor. You probably shouldn't touch them. */\n\n.CodeMirror {\n line-height: 1;\n position: relative;\n overflow: hidden;\n background: white;\n color: black;\n}\n\n.CodeMirror-scroll {\n /* 30px is the magic margin used to hide the element's real scrollbars */\n /* See overflow: hidden in .CodeMirror */\n margin-bottom: -30px; margin-right: -30px;\n padding-bottom: 30px;\n height: 100%;\n outline: none; /* Prevent dragging from highlighting the element */\n position: relative;\n -moz-box-sizing: content-box;\n box-sizing: content-box;\n}\n.CodeMirror-sizer {\n position: relative;\n border-right: 30px solid transparent;\n -moz-box-sizing: content-box;\n box-sizing: content-box;\n}\n\n/* The fake, visible scrollbars. Used to force redraw during scrolling\n before actuall scrolling happens, thus preventing shaking and\n flickering artifacts. */\n.CodeMirror-vscrollbar, .CodeMirror-hscrollbar, .CodeMirror-scrollbar-filler, .CodeMirror-gutter-filler {\n position: absolute;\n z-index: 6;\n display: none;\n}\n.CodeMirror-vscrollbar {\n right: 0; top: 0;\n overflow-x: hidden;\n overflow-y: scroll;\n}\n.CodeMirror-hscrollbar {\n bottom: 0; left: 0;\n overflow-y: hidden;\n overflow-x: scroll;\n}\n.CodeMirror-scrollbar-filler {\n right: 0; bottom: 0;\n}\n.CodeMirror-gutter-filler {\n left: 0; bottom: 0;\n}\n\n.CodeMirror-gutters {\n position: absolute; left: 0; top: 0;\n padding-bottom: 30px;\n z-index: 3;\n}\n.CodeMirror-gutter {\n white-space: normal;\n height: 100%;\n -moz-box-sizing: content-box;\n box-sizing: content-box;\n padding-bottom: 30px;\n margin-bottom: -32px;\n display: inline-block;\n /* Hack to make IE7 behave */\n *zoom:1;\n *display:inline;\n}\n.CodeMirror-gutter-elt {\n position: absolute;\n cursor: default;\n z-index: 4;\n}\n\n.CodeMirror-lines {\n cursor: text;\n}\n.CodeMirror pre {\n /* Reset some styles that the rest of the page might have set */\n -moz-border-radius: 0; -webkit-border-radius: 0; border-radius: 0;\n border-width: 0;\n background: transparent;\n font-family: inherit;\n font-size: inherit;\n margin: 0;\n white-space: pre;\n word-wrap: normal;\n line-height: inherit;\n color: inherit;\n z-index: 2;\n position: relative;\n overflow: visible;\n}\n.CodeMirror-wrap pre {\n word-wrap: break-word;\n white-space: pre-wrap;\n word-break: normal;\n}\n\n.CodeMirror-linebackground {\n position: absolute;\n left: 0; right: 0; top: 0; bottom: 0;\n z-index: 0;\n}\n\n.CodeMirror-linewidget {\n position: relative;\n z-index: 2;\n overflow: auto;\n}\n\n.CodeMirror-widget {}\n\n.CodeMirror-wrap .CodeMirror-scroll {\n overflow-x: hidden;\n}\n\n.CodeMirror-measure {\n position: absolute;\n width: 100%;\n height: 0;\n overflow: hidden;\n visibility: hidden;\n}\n.CodeMirror-measure pre { position: static; }\n\n.CodeMirror div.CodeMirror-cursor {\n position: absolute;\n border-right: none;\n width: 0;\n}\n\ndiv.CodeMirror-cursors {\n visibility: hidden;\n position: relative;\n z-index: 1;\n}\n.CodeMirror-focused div.CodeMirror-cursors {\n visibility: visible;\n}\n\n.CodeMirror-selected { background: #d9d9d9; }\n.CodeMirror-focused .CodeMirror-selected { background: #d7d4f0; }\n.CodeMirror-crosshair { cursor: crosshair; }\n\n.cm-searching {\n background: #ffa;\n background: rgba(255, 255, 0, .4);\n}\n\n/* IE7 hack to prevent it from returning funny offsetTops on the spans */\n.CodeMirror span { *vertical-align: text-bottom; }\n\n/* Used to force a border model for a node */\n.cm-force-border { padding-right: .1px; }\n\n@media print {\n /* Hide the cursor when printing */\n .CodeMirror div.CodeMirror-cursors {\n visibility: hidden;\n }\n}\n"
},
"$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.css": {
"type": "text/css",
"title": "$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.css",
"tags": "[[$:/tags/Stylesheet]]",
"text": ".CodeMirror-dialog {\n position: absolute;\n left: 0; right: 0;\n background: white;\n z-index: 15;\n padding: .1em .8em;\n overflow: hidden;\n color: #333;\n}\n\n.CodeMirror-dialog-top {\n border-bottom: 1px solid #eee;\n top: 0;\n}\n\n.CodeMirror-dialog-bottom {\n border-top: 1px solid #eee;\n bottom: 0;\n}\n\n.CodeMirror-dialog input {\n border: none;\n outline: none;\n background: transparent;\n width: 20em;\n color: inherit;\n font-family: monospace;\n}\n\n.CodeMirror-dialog button {\n font-size: 70%;\n}\n"
},
"$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.js",
"module-type": "library",
"text": "// Open simple dialogs on top of an editor. Relies on dialog.css.\n\n(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../../lib/codemirror\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../../lib/codemirror\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n function dialogDiv(cm, template, bottom) {\n var wrap = cm.getWrapperElement();\n var dialog;\n dialog = wrap.appendChild(document.createElement(\"div\"));\n if (bottom) {\n dialog.className = \"CodeMirror-dialog CodeMirror-dialog-bottom\";\n } else {\n dialog.className = \"CodeMirror-dialog CodeMirror-dialog-top\";\n }\n if (typeof template == \"string\") {\n dialog.innerHTML = template;\n } else { // Assuming it's a detached DOM element.\n dialog.appendChild(template);\n }\n return dialog;\n }\n\n function closeNotification(cm, newVal) {\n if (cm.state.currentNotificationClose)\n cm.state.currentNotificationClose();\n cm.state.currentNotificationClose = newVal;\n }\n\n CodeMirror.defineExtension(\"openDialog\", function(template, callback, options) {\n closeNotification(this, null);\n var dialog = dialogDiv(this, template, options && options.bottom);\n var closed = false, me = this;\n function close() {\n if (closed) return;\n closed = true;\n dialog.parentNode.removeChild(dialog);\n }\n var inp = dialog.getElementsByTagName(\"input\")[0], button;\n if (inp) {\n if (options && options.value) inp.value = options.value;\n CodeMirror.on(inp, \"keydown\", function(e) {\n if (options && options.onKeyDown && options.onKeyDown(e, inp.value, close)) { return; }\n if (e.keyCode == 13 || e.keyCode == 27) {\n inp.blur();\n CodeMirror.e_stop(e);\n close();\n me.focus();\n if (e.keyCode == 13) callback(inp.value);\n }\n });\n if (options && options.onKeyUp) {\n CodeMirror.on(inp, \"keyup\", function(e) {options.onKeyUp(e, inp.value, close);});\n }\n if (options && options.value) inp.value = options.value;\n inp.focus();\n CodeMirror.on(inp, \"blur\", close);\n } else if (button = dialog.getElementsByTagName(\"button\")[0]) {\n CodeMirror.on(button, \"click\", function() {\n close();\n me.focus();\n });\n button.focus();\n CodeMirror.on(button, \"blur\", close);\n }\n return close;\n });\n\n CodeMirror.defineExtension(\"openConfirm\", function(template, callbacks, options) {\n closeNotification(this, null);\n var dialog = dialogDiv(this, template, options && options.bottom);\n var buttons = dialog.getElementsByTagName(\"button\");\n var closed = false, me = this, blurring = 1;\n function close() {\n if (closed) return;\n closed = true;\n dialog.parentNode.removeChild(dialog);\n me.focus();\n }\n buttons[0].focus();\n for (var i = 0; i < buttons.length; ++i) {\n var b = buttons[i];\n (function(callback) {\n CodeMirror.on(b, \"click\", function(e) {\n CodeMirror.e_preventDefault(e);\n close();\n if (callback) callback(me);\n });\n })(callbacks[i]);\n CodeMirror.on(b, \"blur\", function() {\n --blurring;\n setTimeout(function() { if (blurring <= 0) close(); }, 200);\n });\n CodeMirror.on(b, \"focus\", function() { ++blurring; });\n }\n });\n\n /*\n * openNotification\n * Opens a notification, that can be closed with an optional timer\n * (default 5000ms timer) and always closes on click.\n *\n * If a notification is opened while another is opened, it will close the\n * currently opened one and open the new one immediately.\n */\n CodeMirror.defineExtension(\"openNotification\", function(template, options) {\n closeNotification(this, close);\n var dialog = dialogDiv(this, template, options && options.bottom);\n var duration = options && (options.duration === undefined ? 5000 : options.duration);\n var closed = false, doneTimer;\n\n function close() {\n if (closed) return;\n closed = true;\n clearTimeout(doneTimer);\n dialog.parentNode.removeChild(dialog);\n }\n\n CodeMirror.on(dialog, 'click', function(e) {\n CodeMirror.e_preventDefault(e);\n close();\n });\n if (duration)\n doneTimer = setTimeout(close, options.duration);\n });\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js",
"module-type": "library",
"text": "(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../../lib/codemirror\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../../lib/codemirror\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n var ie_lt8 = /MSIE \\d/.test(navigator.userAgent) &&\n (document.documentMode == null || document.documentMode < 8);\n\n var Pos = CodeMirror.Pos;\n\n var matching = {\"(\": \")>\", \")\": \"(<\", \"[\": \"]>\", \"]\": \"[<\", \"{\": \"}>\", \"}\": \"{<\"};\n\n function findMatchingBracket(cm, where, strict, config) {\n var line = cm.getLineHandle(where.line), pos = where.ch - 1;\n var match = (pos >= 0 && matching[line.text.charAt(pos)]) || matching[line.text.charAt(++pos)];\n if (!match) return null;\n var dir = match.charAt(1) == \">\" ? 1 : -1;\n if (strict && (dir > 0) != (pos == where.ch)) return null;\n var style = cm.getTokenTypeAt(Pos(where.line, pos + 1));\n\n var found = scanForBracket(cm, Pos(where.line, pos + (dir > 0 ? 1 : 0)), dir, style || null, config);\n if (found == null) return null;\n return {from: Pos(where.line, pos), to: found && found.pos,\n match: found && found.ch == match.charAt(0), forward: dir > 0};\n }\n\n // bracketRegex is used to specify which type of bracket to scan\n // should be a regexp, e.g. /[[\\]]/\n //\n // Note: If \"where\" is on an open bracket, then this bracket is ignored.\n //\n // Returns false when no bracket was found, null when it reached\n // maxScanLines and gave up\n function scanForBracket(cm, where, dir, style, config) {\n var maxScanLen = (config && config.maxScanLineLength) || 10000;\n var maxScanLines = (config && config.maxScanLines) || 1000;\n\n var stack = [];\n var re = config && config.bracketRegex ? config.bracketRegex : /[(){}[\\]]/;\n var lineEnd = dir > 0 ? Math.min(where.line + maxScanLines, cm.lastLine() + 1)\n : Math.max(cm.firstLine() - 1, where.line - maxScanLines);\n for (var lineNo = where.line; lineNo != lineEnd; lineNo += dir) {\n var line = cm.getLine(lineNo);\n if (!line) continue;\n var pos = dir > 0 ? 0 : line.length - 1, end = dir > 0 ? line.length : -1;\n if (line.length > maxScanLen) continue;\n if (lineNo == where.line) pos = where.ch - (dir < 0 ? 1 : 0);\n for (; pos != end; pos += dir) {\n var ch = line.charAt(pos);\n if (re.test(ch) && (style === undefined || cm.getTokenTypeAt(Pos(lineNo, pos + 1)) == style)) {\n var match = matching[ch];\n if ((match.charAt(1) == \">\") == (dir > 0)) stack.push(ch);\n else if (!stack.length) return {pos: Pos(lineNo, pos), ch: ch};\n else stack.pop();\n }\n }\n }\n return lineNo - dir == (dir > 0 ? cm.lastLine() : cm.firstLine()) ? false : null;\n }\n\n function matchBrackets(cm, autoclear, config) {\n // Disable brace matching in long lines, since it'll cause hugely slow updates\n var maxHighlightLen = cm.state.matchBrackets.maxHighlightLineLength || 1000;\n var marks = [], ranges = cm.listSelections();\n for (var i = 0; i < ranges.length; i++) {\n var match = ranges[i].empty() && findMatchingBracket(cm, ranges[i].head, false, config);\n if (match && cm.getLine(match.from.line).length <= maxHighlightLen) {\n var style = match.match ? \"CodeMirror-matchingbracket\" : \"CodeMirror-nonmatchingbracket\";\n marks.push(cm.markText(match.from, Pos(match.from.line, match.from.ch + 1), {className: style}));\n if (match.to && cm.getLine(match.to.line).length <= maxHighlightLen)\n marks.push(cm.markText(match.to, Pos(match.to.line, match.to.ch + 1), {className: style}));\n }\n }\n\n if (marks.length) {\n // Kludge to work around the IE bug from issue #1193, where text\n // input stops going to the textare whever this fires.\n if (ie_lt8 && cm.state.focused) cm.display.input.focus();\n\n var clear = function() {\n cm.operation(function() {\n for (var i = 0; i < marks.length; i++) marks[i].clear();\n });\n };\n if (autoclear) setTimeout(clear, 800);\n else return clear;\n }\n }\n\n var currentlyHighlighted = null;\n function doMatchBrackets(cm) {\n cm.operation(function() {\n if (currentlyHighlighted) {currentlyHighlighted(); currentlyHighlighted = null;}\n currentlyHighlighted = matchBrackets(cm, false, cm.state.matchBrackets);\n });\n }\n\n CodeMirror.defineOption(\"matchBrackets\", false, function(cm, val, old) {\n if (old && old != CodeMirror.Init)\n cm.off(\"cursorActivity\", doMatchBrackets);\n if (val) {\n cm.state.matchBrackets = typeof val == \"object\" ? val : {};\n cm.on(\"cursorActivity\", doMatchBrackets);\n }\n });\n\n CodeMirror.defineExtension(\"matchBrackets\", function() {matchBrackets(this, true);});\n CodeMirror.defineExtension(\"findMatchingBracket\", function(pos, strict, config){\n return findMatchingBracket(this, pos, strict, config);\n });\n CodeMirror.defineExtension(\"scanForBracket\", function(pos, dir, style, config){\n return scanForBracket(this, pos, dir, style, config);\n });\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/addon/search/searchcursor.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/addon/search/searchcursor.js",
"module-type": "library",
"text": "(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../../lib/codemirror\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../../lib/codemirror\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n \"use strict\";\n var Pos = CodeMirror.Pos;\n\n function SearchCursor(doc, query, pos, caseFold) {\n this.atOccurrence = false; this.doc = doc;\n if (caseFold == null && typeof query == \"string\") caseFold = false;\n\n pos = pos ? doc.clipPos(pos) : Pos(0, 0);\n this.pos = {from: pos, to: pos};\n\n // The matches method is filled in based on the type of query.\n // It takes a position and a direction, and returns an object\n // describing the next occurrence of the query, or null if no\n // more matches were found.\n if (typeof query != \"string\") { // Regexp match\n if (!query.global) query = new RegExp(query.source, query.ignoreCase ? \"ig\" : \"g\");\n this.matches = function(reverse, pos) {\n if (reverse) {\n query.lastIndex = 0;\n var line = doc.getLine(pos.line).slice(0, pos.ch), cutOff = 0, match, start;\n for (;;) {\n query.lastIndex = cutOff;\n var newMatch = query.exec(line);\n if (!newMatch) break;\n match = newMatch;\n start = match.index;\n cutOff = match.index + (match[0].length || 1);\n if (cutOff == line.length) break;\n }\n var matchLen = (match && match[0].length) || 0;\n if (!matchLen) {\n if (start == 0 && line.length == 0) {match = undefined;}\n else if (start != doc.getLine(pos.line).length) {\n matchLen++;\n }\n }\n } else {\n query.lastIndex = pos.ch;\n var line = doc.getLine(pos.line), match = query.exec(line);\n var matchLen = (match && match[0].length) || 0;\n var start = match && match.index;\n if (start + matchLen != line.length && !matchLen) matchLen = 1;\n }\n if (match && matchLen)\n return {from: Pos(pos.line, start),\n to: Pos(pos.line, start + matchLen),\n match: match};\n };\n } else { // String query\n var origQuery = query;\n if (caseFold) query = query.toLowerCase();\n var fold = caseFold ? function(str){return str.toLowerCase();} : function(str){return str;};\n var target = query.split(\"\\n\");\n // Different methods for single-line and multi-line queries\n if (target.length == 1) {\n if (!query.length) {\n // Empty string would match anything and never progress, so\n // we define it to match nothing instead.\n this.matches = function() {};\n } else {\n this.matches = function(reverse, pos) {\n if (reverse) {\n var orig = doc.getLine(pos.line).slice(0, pos.ch), line = fold(orig);\n var match = line.lastIndexOf(query);\n if (match > -1) {\n match = adjustPos(orig, line, match);\n return {from: Pos(pos.line, match), to: Pos(pos.line, match + origQuery.length)};\n }\n } else {\n var orig = doc.getLine(pos.line).slice(pos.ch), line = fold(orig);\n var match = line.indexOf(query);\n if (match > -1) {\n match = adjustPos(orig, line, match) + pos.ch;\n return {from: Pos(pos.line, match), to: Pos(pos.line, match + origQuery.length)};\n }\n }\n };\n }\n } else {\n var origTarget = origQuery.split(\"\\n\");\n this.matches = function(reverse, pos) {\n var last = target.length - 1;\n if (reverse) {\n if (pos.line - (target.length - 1) < doc.firstLine()) return;\n if (fold(doc.getLine(pos.line).slice(0, origTarget[last].length)) != target[target.length - 1]) return;\n var to = Pos(pos.line, origTarget[last].length);\n for (var ln = pos.line - 1, i = last - 1; i >= 1; --i, --ln)\n if (target[i] != fold(doc.getLine(ln))) return;\n var line = doc.getLine(ln), cut = line.length - origTarget[0].length;\n if (fold(line.slice(cut)) != target[0]) return;\n return {from: Pos(ln, cut), to: to};\n } else {\n if (pos.line + (target.length - 1) > doc.lastLine()) return;\n var line = doc.getLine(pos.line), cut = line.length - origTarget[0].length;\n if (fold(line.slice(cut)) != target[0]) return;\n var from = Pos(pos.line, cut);\n for (var ln = pos.line + 1, i = 1; i < last; ++i, ++ln)\n if (target[i] != fold(doc.getLine(ln))) return;\n if (doc.getLine(ln).slice(0, origTarget[last].length) != target[last]) return;\n return {from: from, to: Pos(ln, origTarget[last].length)};\n }\n };\n }\n }\n }\n\n SearchCursor.prototype = {\n findNext: function() {return this.find(false);},\n findPrevious: function() {return this.find(true);},\n\n find: function(reverse) {\n var self = this, pos = this.doc.clipPos(reverse ? this.pos.from : this.pos.to);\n function savePosAndFail(line) {\n var pos = Pos(line, 0);\n self.pos = {from: pos, to: pos};\n self.atOccurrence = false;\n return false;\n }\n\n for (;;) {\n if (this.pos = this.matches(reverse, pos)) {\n this.atOccurrence = true;\n return this.pos.match || true;\n }\n if (reverse) {\n if (!pos.line) return savePosAndFail(0);\n pos = Pos(pos.line-1, this.doc.getLine(pos.line-1).length);\n }\n else {\n var maxLine = this.doc.lineCount();\n if (pos.line == maxLine - 1) return savePosAndFail(maxLine);\n pos = Pos(pos.line + 1, 0);\n }\n }\n },\n\n from: function() {if (this.atOccurrence) return this.pos.from;},\n to: function() {if (this.atOccurrence) return this.pos.to;},\n\n replace: function(newText) {\n if (!this.atOccurrence) return;\n var lines = CodeMirror.splitLines(newText);\n this.doc.replaceRange(lines, this.pos.from, this.pos.to);\n this.pos.to = Pos(this.pos.from.line + lines.length - 1,\n lines[lines.length - 1].length + (lines.length == 1 ? this.pos.from.ch : 0));\n }\n };\n\n // Maps a position in a case-folded line back to a position in the original line\n // (compensating for codepoints increasing in number during folding)\n function adjustPos(orig, folded, pos) {\n if (orig.length == folded.length) return pos;\n for (var pos1 = Math.min(pos, orig.length);;) {\n var len1 = orig.slice(0, pos1).toLowerCase().length;\n if (len1 < pos) ++pos1;\n else if (len1 > pos) --pos1;\n else return pos1;\n }\n }\n\n CodeMirror.defineExtension(\"getSearchCursor\", function(query, pos, caseFold) {\n return new SearchCursor(this.doc, query, pos, caseFold);\n });\n CodeMirror.defineDocExtension(\"getSearchCursor\", function(query, pos, caseFold) {\n return new SearchCursor(this, query, pos, caseFold);\n });\n\n CodeMirror.defineExtension(\"selectMatches\", function(query, caseFold) {\n var ranges = [], next;\n var cur = this.getSearchCursor(query, this.getCursor(\"from\"), caseFold);\n while (next = cur.findNext()) {\n if (CodeMirror.cmpPos(cur.to(), this.getCursor(\"to\")) > 0) break;\n ranges.push({anchor: cur.from(), head: cur.to()});\n }\n if (ranges.length)\n this.setSelections(ranges, 0);\n });\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js",
"module-type": "library",
"text": "// TODO actually recognize syntax of TypeScript constructs\n\n(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../../lib/codemirror\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../../lib/codemirror\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n\"use strict\";\n\nCodeMirror.defineMode(\"javascript\", function(config, parserConfig) {\n var indentUnit = config.indentUnit;\n var statementIndent = parserConfig.statementIndent;\n var jsonldMode = parserConfig.jsonld;\n var jsonMode = parserConfig.json || jsonldMode;\n var isTS = parserConfig.typescript;\n\n // Tokenizer\n\n var keywords = function(){\n function kw(type) {return {type: type, style: \"keyword\"};}\n var A = kw(\"keyword a\"), B = kw(\"keyword b\"), C = kw(\"keyword c\");\n var operator = kw(\"operator\"), atom = {type: \"atom\", style: \"atom\"};\n\n var jsKeywords = {\n \"if\": kw(\"if\"), \"while\": A, \"with\": A, \"else\": B, \"do\": B, \"try\": B, \"finally\": B,\n \"return\": C, \"break\": C, \"continue\": C, \"new\": C, \"delete\": C, \"throw\": C, \"debugger\": C,\n \"var\": kw(\"var\"), \"const\": kw(\"var\"), \"let\": kw(\"var\"),\n \"function\": kw(\"function\"), \"catch\": kw(\"catch\"),\n \"for\": kw(\"for\"), \"switch\": kw(\"switch\"), \"case\": kw(\"case\"), \"default\": kw(\"default\"),\n \"in\": operator, \"typeof\": operator, \"instanceof\": operator,\n \"true\": atom, \"false\": atom, \"null\": atom, \"undefined\": atom, \"NaN\": atom, \"Infinity\": atom,\n \"this\": kw(\"this\"), \"module\": kw(\"module\"), \"class\": kw(\"class\"), \"super\": kw(\"atom\"),\n \"yield\": C, \"export\": kw(\"export\"), \"import\": kw(\"import\"), \"extends\": C\n };\n\n // Extend the 'normal' keywords with the TypeScript language extensions\n if (isTS) {\n var type = {type: \"variable\", style: \"variable-3\"};\n var tsKeywords = {\n // object-like things\n \"interface\": kw(\"interface\"),\n \"extends\": kw(\"extends\"),\n \"constructor\": kw(\"constructor\"),\n\n // scope modifiers\n \"public\": kw(\"public\"),\n \"private\": kw(\"private\"),\n \"protected\": kw(\"protected\"),\n \"static\": kw(\"static\"),\n\n // types\n \"string\": type, \"number\": type, \"bool\": type, \"any\": type\n };\n\n for (var attr in tsKeywords) {\n jsKeywords[attr] = tsKeywords[attr];\n }\n }\n\n return jsKeywords;\n }();\n\n var isOperatorChar = /[+\\-*&%=<>!?|~^]/;\n var isJsonldKeyword = /^@(context|id|value|language|type|container|list|set|reverse|index|base|vocab|graph)\"/;\n\n function readRegexp(stream) {\n var escaped = false, next, inSet = false;\n while ((next = stream.next()) != null) {\n if (!escaped) {\n if (next == \"/\" && !inSet) return;\n if (next == \"[\") inSet = true;\n else if (inSet && next == \"]\") inSet = false;\n }\n escaped = !escaped && next == \"\\\\\";\n }\n }\n\n // Used as scratch variables to communicate multiple values without\n // consing up tons of objects.\n var type, content;\n function ret(tp, style, cont) {\n type = tp; content = cont;\n return style;\n }\n function tokenBase(stream, state) {\n var ch = stream.next();\n if (ch == '\"' || ch == \"'\") {\n state.tokenize = tokenString(ch);\n return state.tokenize(stream, state);\n } else if (ch == \".\" && stream.match(/^\\d+(?:[eE][+\\-]?\\d+)?/)) {\n return ret(\"number\", \"number\");\n } else if (ch == \".\" && stream.match(\"..\")) {\n return ret(\"spread\", \"meta\");\n } else if (/[\\[\\]{}\\(\\),;\\:\\.]/.test(ch)) {\n return ret(ch);\n } else if (ch == \"=\" && stream.eat(\">\")) {\n return ret(\"=>\", \"operator\");\n } else if (ch == \"0\" && stream.eat(/x/i)) {\n stream.eatWhile(/[\\da-f]/i);\n return ret(\"number\", \"number\");\n } else if (/\\d/.test(ch)) {\n stream.match(/^\\d*(?:\\.\\d*)?(?:[eE][+\\-]?\\d+)?/);\n return ret(\"number\", \"number\");\n } else if (ch == \"/\") {\n if (stream.eat(\"*\")) {\n state.tokenize = tokenComment;\n return tokenComment(stream, state);\n } else if (stream.eat(\"/\")) {\n stream.skipToEnd();\n return ret(\"comment\", \"comment\");\n } else if (state.lastType == \"operator\" || state.lastType == \"keyword c\" ||\n state.lastType == \"sof\" || /^[\\[{}\\(,;:]$/.test(state.lastType)) {\n readRegexp(stream);\n stream.eatWhile(/[gimy]/); // 'y' is \"sticky\" option in Mozilla\n return ret(\"regexp\", \"string-2\");\n } else {\n stream.eatWhile(isOperatorChar);\n return ret(\"operator\", \"operator\", stream.current());\n }\n } else if (ch == \"`\") {\n state.tokenize = tokenQuasi;\n return tokenQuasi(stream, state);\n } else if (ch == \"#\") {\n stream.skipToEnd();\n return ret(\"error\", \"error\");\n } else if (isOperatorChar.test(ch)) {\n stream.eatWhile(isOperatorChar);\n return ret(\"operator\", \"operator\", stream.current());\n } else {\n stream.eatWhile(/[\\w\\$_]/);\n var word = stream.current(), known = keywords.propertyIsEnumerable(word) && keywords[word];\n return (known && state.lastType != \".\") ? ret(known.type, known.style, word) :\n ret(\"variable\", \"variable\", word);\n }\n }\n\n function tokenString(quote) {\n return function(stream, state) {\n var escaped = false, next;\n if (jsonldMode && stream.peek() == \"@\" && stream.match(isJsonldKeyword)){\n state.tokenize = tokenBase;\n return ret(\"jsonld-keyword\", \"meta\");\n }\n while ((next = stream.next()) != null) {\n if (next == quote && !escaped) break;\n escaped = !escaped && next == \"\\\\\";\n }\n if (!escaped) state.tokenize = tokenBase;\n return ret(\"string\", \"string\");\n };\n }\n\n function tokenComment(stream, state) {\n var maybeEnd = false, ch;\n while (ch = stream.next()) {\n if (ch == \"/\" && maybeEnd) {\n state.tokenize = tokenBase;\n break;\n }\n maybeEnd = (ch == \"*\");\n }\n return ret(\"comment\", \"comment\");\n }\n\n function tokenQuasi(stream, state) {\n var escaped = false, next;\n while ((next = stream.next()) != null) {\n if (!escaped && (next == \"`\" || next == \"$\" && stream.eat(\"{\"))) {\n state.tokenize = tokenBase;\n break;\n }\n escaped = !escaped && next == \"\\\\\";\n }\n return ret(\"quasi\", \"string-2\", stream.current());\n }\n\n var brackets = \"([{}])\";\n // This is a crude lookahead trick to try and notice that we're\n // parsing the argument patterns for a fat-arrow function before we\n // actually hit the arrow token. It only works if the arrow is on\n // the same line as the arguments and there's no strange noise\n // (comments) in between. Fallback is to only notice when we hit the\n // arrow, and not declare the arguments as locals for the arrow\n // body.\n function findFatArrow(stream, state) {\n if (state.fatArrowAt) state.fatArrowAt = null;\n var arrow = stream.string.indexOf(\"=>\", stream.start);\n if (arrow < 0) return;\n\n var depth = 0, sawSomething = false;\n for (var pos = arrow - 1; pos >= 0; --pos) {\n var ch = stream.string.charAt(pos);\n var bracket = brackets.indexOf(ch);\n if (bracket >= 0 && bracket < 3) {\n if (!depth) { ++pos; break; }\n if (--depth == 0) break;\n } else if (bracket >= 3 && bracket < 6) {\n ++depth;\n } else if (/[$\\w]/.test(ch)) {\n sawSomething = true;\n } else if (sawSomething && !depth) {\n ++pos;\n break;\n }\n }\n if (sawSomething && !depth) state.fatArrowAt = pos;\n }\n\n // Parser\n\n var atomicTypes = {\"atom\": true, \"number\": true, \"variable\": true, \"string\": true, \"regexp\": true, \"this\": true, \"jsonld-keyword\": true};\n\n function JSLexical(indented, column, type, align, prev, info) {\n this.indented = indented;\n this.column = column;\n this.type = type;\n this.prev = prev;\n this.info = info;\n if (align != null) this.align = align;\n }\n\n function inScope(state, varname) {\n for (var v = state.localVars; v; v = v.next)\n if (v.name == varname) return true;\n for (var cx = state.context; cx; cx = cx.prev) {\n for (var v = cx.vars; v; v = v.next)\n if (v.name == varname) return true;\n }\n }\n\n function parseJS(state, style, type, content, stream) {\n var cc = state.cc;\n // Communicate our context to the combinators.\n // (Less wasteful than consing up a hundred closures on every call.)\n cx.state = state; cx.stream = stream; cx.marked = null, cx.cc = cc;\n\n if (!state.lexical.hasOwnProperty(\"align\"))\n state.lexical.align = true;\n\n while(true) {\n var combinator = cc.length ? cc.pop() : jsonMode ? expression : statement;\n if (combinator(type, content)) {\n while(cc.length && cc[cc.length - 1].lex)\n cc.pop()();\n if (cx.marked) return cx.marked;\n if (type == \"variable\" && inScope(state, content)) return \"variable-2\";\n return style;\n }\n }\n }\n\n // Combinator utils\n\n var cx = {state: null, column: null, marked: null, cc: null};\n function pass() {\n for (var i = arguments.length - 1; i >= 0; i--) cx.cc.push(arguments[i]);\n }\n function cont() {\n pass.apply(null, arguments);\n return true;\n }\n function register(varname) {\n function inList(list) {\n for (var v = list; v; v = v.next)\n if (v.name == varname) return true;\n return false;\n }\n var state = cx.state;\n if (state.context) {\n cx.marked = \"def\";\n if (inList(state.localVars)) return;\n state.localVars = {name: varname, next: state.localVars};\n } else {\n if (inList(state.globalVars)) return;\n if (parserConfig.globalVars)\n state.globalVars = {name: varname, next: state.globalVars};\n }\n }\n\n // Combinators\n\n var defaultVars = {name: \"this\", next: {name: \"arguments\"}};\n function pushcontext() {\n cx.state.context = {prev: cx.state.context, vars: cx.state.localVars};\n cx.state.localVars = defaultVars;\n }\n function popcontext() {\n cx.state.localVars = cx.state.context.vars;\n cx.state.context = cx.state.context.prev;\n }\n function pushlex(type, info) {\n var result = function() {\n var state = cx.state, indent = state.indented;\n if (state.lexical.type == \"stat\") indent = state.lexical.indented;\n state.lexical = new JSLexical(indent, cx.stream.column(), type, null, state.lexical, info);\n };\n result.lex = true;\n return result;\n }\n function poplex() {\n var state = cx.state;\n if (state.lexical.prev) {\n if (state.lexical.type == \")\")\n state.indented = state.lexical.indented;\n state.lexical = state.lexical.prev;\n }\n }\n poplex.lex = true;\n\n function expect(wanted) {\n function exp(type) {\n if (type == wanted) return cont();\n else if (wanted == \";\") return pass();\n else return cont(exp);\n };\n return exp;\n }\n\n function statement(type, value) {\n if (type == \"var\") return cont(pushlex(\"vardef\", value.length), vardef, expect(\";\"), poplex);\n if (type == \"keyword a\") return cont(pushlex(\"form\"), expression, statement, poplex);\n if (type == \"keyword b\") return cont(pushlex(\"form\"), statement, poplex);\n if (type == \"{\") return cont(pushlex(\"}\"), block, poplex);\n if (type == \";\") return cont();\n if (type == \"if\") {\n if (cx.state.lexical.info == \"else\" && cx.state.cc[cx.state.cc.length - 1] == poplex)\n cx.state.cc.pop()();\n return cont(pushlex(\"form\"), expression, statement, poplex, maybeelse);\n }\n if (type == \"function\") return cont(functiondef);\n if (type == \"for\") return cont(pushlex(\"form\"), forspec, statement, poplex);\n if (type == \"variable\") return cont(pushlex(\"stat\"), maybelabel);\n if (type == \"switch\") return cont(pushlex(\"form\"), expression, pushlex(\"}\", \"switch\"), expect(\"{\"),\n block, poplex, poplex);\n if (type == \"case\") return cont(expression, expect(\":\"));\n if (type == \"default\") return cont(expect(\":\"));\n if (type == \"catch\") return cont(pushlex(\"form\"), pushcontext, expect(\"(\"), funarg, expect(\")\"),\n statement, poplex, popcontext);\n if (type == \"module\") return cont(pushlex(\"form\"), pushcontext, afterModule, popcontext, poplex);\n if (type == \"class\") return cont(pushlex(\"form\"), className, objlit, poplex);\n if (type == \"export\") return cont(pushlex(\"form\"), afterExport, poplex);\n if (type == \"import\") return cont(pushlex(\"form\"), afterImport, poplex);\n return pass(pushlex(\"stat\"), expression, expect(\";\"), poplex);\n }\n function expression(type) {\n return expressionInner(type, false);\n }\n function expressionNoComma(type) {\n return expressionInner(type, true);\n }\n function expressionInner(type, noComma) {\n if (cx.state.fatArrowAt == cx.stream.start) {\n var body = noComma ? arrowBodyNoComma : arrowBody;\n if (type == \"(\") return cont(pushcontext, pushlex(\")\"), commasep(pattern, \")\"), poplex, expect(\"=>\"), body, popcontext);\n else if (type == \"variable\") return pass(pushcontext, pattern, expect(\"=>\"), body, popcontext);\n }\n\n var maybeop = noComma ? maybeoperatorNoComma : maybeoperatorComma;\n if (atomicTypes.hasOwnProperty(type)) return cont(maybeop);\n if (type == \"function\") return cont(functiondef, maybeop);\n if (type == \"keyword c\") return cont(noComma ? maybeexpressionNoComma : maybeexpression);\n if (type == \"(\") return cont(pushlex(\")\"), maybeexpression, comprehension, expect(\")\"), poplex, maybeop);\n if (type == \"operator\" || type == \"spread\") return cont(noComma ? expressionNoComma : expression);\n if (type == \"[\") return cont(pushlex(\"]\"), arrayLiteral, poplex, maybeop);\n if (type == \"{\") return contCommasep(objprop, \"}\", null, maybeop);\n if (type == \"quasi\") { return pass(quasi, maybeop); }\n return cont();\n }\n function maybeexpression(type) {\n if (type.match(/[;\\}\\)\\],]/)) return pass();\n return pass(expression);\n }\n function maybeexpressionNoComma(type) {\n if (type.match(/[;\\}\\)\\],]/)) return pass();\n return pass(expressionNoComma);\n }\n\n function maybeoperatorComma(type, value) {\n if (type == \",\") return cont(expression);\n return maybeoperatorNoComma(type, value, false);\n }\n function maybeoperatorNoComma(type, value, noComma) {\n var me = noComma == false ? maybeoperatorComma : maybeoperatorNoComma;\n var expr = noComma == false ? expression : expressionNoComma;\n if (value == \"=>\") return cont(pushcontext, noComma ? arrowBodyNoComma : arrowBody, popcontext);\n if (type == \"operator\") {\n if (/\\+\\+|--/.test(value)) return cont(me);\n if (value == \"?\") return cont(expression, expect(\":\"), expr);\n return cont(expr);\n }\n if (type == \"quasi\") { return pass(quasi, me); }\n if (type == \";\") return;\n if (type == \"(\") return contCommasep(expressionNoComma, \")\", \"call\", me);\n if (type == \".\") return cont(property, me);\n if (type == \"[\") return cont(pushlex(\"]\"), maybeexpression, expect(\"]\"), poplex, me);\n }\n function quasi(type, value) {\n if (type != \"quasi\") return pass();\n if (value.slice(value.length - 2) != \"${\") return cont(quasi);\n return cont(expression, continueQuasi);\n }\n function continueQuasi(type) {\n if (type == \"}\") {\n cx.marked = \"string-2\";\n cx.state.tokenize = tokenQuasi;\n return cont(quasi);\n }\n }\n function arrowBody(type) {\n findFatArrow(cx.stream, cx.state);\n if (type == \"{\") return pass(statement);\n return pass(expression);\n }\n function arrowBodyNoComma(type) {\n findFatArrow(cx.stream, cx.state);\n if (type == \"{\") return pass(statement);\n return pass(expressionNoComma);\n }\n function maybelabel(type) {\n if (type == \":\") return cont(poplex, statement);\n return pass(maybeoperatorComma, expect(\";\"), poplex);\n }\n function property(type) {\n if (type == \"variable\") {cx.marked = \"property\"; return cont();}\n }\n function objprop(type, value) {\n if (type == \"variable\") {\n cx.marked = \"property\";\n if (value == \"get\" || value == \"set\") return cont(getterSetter);\n } else if (type == \"number\" || type == \"string\") {\n cx.marked = jsonldMode ? \"property\" : (type + \" property\");\n } else if (type == \"[\") {\n return cont(expression, expect(\"]\"), afterprop);\n }\n if (atomicTypes.hasOwnProperty(type)) return cont(afterprop);\n }\n function getterSetter(type) {\n if (type != \"variable\") return pass(afterprop);\n cx.marked = \"property\";\n return cont(functiondef);\n }\n function afterprop(type) {\n if (type == \":\") return cont(expressionNoComma);\n if (type == \"(\") return pass(functiondef);\n }\n function commasep(what, end) {\n function proceed(type) {\n if (type == \",\") {\n var lex = cx.state.lexical;\n if (lex.info == \"call\") lex.pos = (lex.pos || 0) + 1;\n return cont(what, proceed);\n }\n if (type == end) return cont();\n return cont(expect(end));\n }\n return function(type) {\n if (type == end) return cont();\n return pass(what, proceed);\n };\n }\n function contCommasep(what, end, info) {\n for (var i = 3; i < arguments.length; i++)\n cx.cc.push(arguments[i]);\n return cont(pushlex(end, info), commasep(what, end), poplex);\n }\n function block(type) {\n if (type == \"}\") return cont();\n return pass(statement, block);\n }\n function maybetype(type) {\n if (isTS && type == \":\") return cont(typedef);\n }\n function typedef(type) {\n if (type == \"variable\"){cx.marked = \"variable-3\"; return cont();}\n }\n function vardef() {\n return pass(pattern, maybetype, maybeAssign, vardefCont);\n }\n function pattern(type, value) {\n if (type == \"variable\") { register(value); return cont(); }\n if (type == \"[\") return contCommasep(pattern, \"]\");\n if (type == \"{\") return contCommasep(proppattern, \"}\");\n }\n function proppattern(type, value) {\n if (type == \"variable\" && !cx.stream.match(/^\\s*:/, false)) {\n register(value);\n return cont(maybeAssign);\n }\n if (type == \"variable\") cx.marked = \"property\";\n return cont(expect(\":\"), pattern, maybeAssign);\n }\n function maybeAssign(_type, value) {\n if (value == \"=\") return cont(expressionNoComma);\n }\n function vardefCont(type) {\n if (type == \",\") return cont(vardef);\n }\n function maybeelse(type, value) {\n if (type == \"keyword b\" && value == \"else\") return cont(pushlex(\"form\", \"else\"), statement, poplex);\n }\n function forspec(type) {\n if (type == \"(\") return cont(pushlex(\")\"), forspec1, expect(\")\"), poplex);\n }\n function forspec1(type) {\n if (type == \"var\") return cont(vardef, expect(\";\"), forspec2);\n if (type == \";\") return cont(forspec2);\n if (type == \"variable\") return cont(formaybeinof);\n return pass(expression, expect(\";\"), forspec2);\n }\n function formaybeinof(_type, value) {\n if (value == \"in\" || value == \"of\") { cx.marked = \"keyword\"; return cont(expression); }\n return cont(maybeoperatorComma, forspec2);\n }\n function forspec2(type, value) {\n if (type == \";\") return cont(forspec3);\n if (value == \"in\" || value == \"of\") { cx.marked = \"keyword\"; return cont(expression); }\n return pass(expression, expect(\";\"), forspec3);\n }\n function forspec3(type) {\n if (type != \")\") cont(expression);\n }\n function functiondef(type, value) {\n if (value == \"*\") {cx.marked = \"keyword\"; return cont(functiondef);}\n if (type == \"variable\") {register(value); return cont(functiondef);}\n if (type == \"(\") return cont(pushcontext, pushlex(\")\"), commasep(funarg, \")\"), poplex, statement, popcontext);\n }\n function funarg(type) {\n if (type == \"spread\") return cont(funarg);\n return pass(pattern, maybetype);\n }\n function className(type, value) {\n if (type == \"variable\") {register(value); return cont(classNameAfter);}\n }\n function classNameAfter(_type, value) {\n if (value == \"extends\") return cont(expression);\n }\n function objlit(type) {\n if (type == \"{\") return contCommasep(objprop, \"}\");\n }\n function afterModule(type, value) {\n if (type == \"string\") return cont(statement);\n if (type == \"variable\") { register(value); return cont(maybeFrom); }\n }\n function afterExport(_type, value) {\n if (value == \"*\") { cx.marked = \"keyword\"; return cont(maybeFrom, expect(\";\")); }\n if (value == \"default\") { cx.marked = \"keyword\"; return cont(expression, expect(\";\")); }\n return pass(statement);\n }\n function afterImport(type) {\n if (type == \"string\") return cont();\n return pass(importSpec, maybeFrom);\n }\n function importSpec(type, value) {\n if (type == \"{\") return contCommasep(importSpec, \"}\");\n if (type == \"variable\") register(value);\n return cont();\n }\n function maybeFrom(_type, value) {\n if (value == \"from\") { cx.marked = \"keyword\"; return cont(expression); }\n }\n function arrayLiteral(type) {\n if (type == \"]\") return cont();\n return pass(expressionNoComma, maybeArrayComprehension);\n }\n function maybeArrayComprehension(type) {\n if (type == \"for\") return pass(comprehension, expect(\"]\"));\n if (type == \",\") return cont(commasep(expressionNoComma, \"]\"));\n return pass(commasep(expressionNoComma, \"]\"));\n }\n function comprehension(type) {\n if (type == \"for\") return cont(forspec, comprehension);\n if (type == \"if\") return cont(expression, comprehension);\n }\n\n // Interface\n\n return {\n startState: function(basecolumn) {\n var state = {\n tokenize: tokenBase,\n lastType: \"sof\",\n cc: [],\n lexical: new JSLexical((basecolumn || 0) - indentUnit, 0, \"block\", false),\n localVars: parserConfig.localVars,\n context: parserConfig.localVars && {vars: parserConfig.localVars},\n indented: 0\n };\n if (parserConfig.globalVars && typeof parserConfig.globalVars == \"object\")\n state.globalVars = parserConfig.globalVars;\n return state;\n },\n\n token: function(stream, state) {\n if (stream.sol()) {\n if (!state.lexical.hasOwnProperty(\"align\"))\n state.lexical.align = false;\n state.indented = stream.indentation();\n findFatArrow(stream, state);\n }\n if (state.tokenize != tokenComment && stream.eatSpace()) return null;\n var style = state.tokenize(stream, state);\n if (type == \"comment\") return style;\n state.lastType = type == \"operator\" && (content == \"++\" || content == \"--\") ? \"incdec\" : type;\n return parseJS(state, style, type, content, stream);\n },\n\n indent: function(state, textAfter) {\n if (state.tokenize == tokenComment) return CodeMirror.Pass;\n if (state.tokenize != tokenBase) return 0;\n var firstChar = textAfter && textAfter.charAt(0), lexical = state.lexical;\n // Kludge to prevent 'maybelse' from blocking lexical scope pops\n if (!/^\\s*else\\b/.test(textAfter)) for (var i = state.cc.length - 1; i >= 0; --i) {\n var c = state.cc[i];\n if (c == poplex) lexical = lexical.prev;\n else if (c != maybeelse) break;\n }\n if (lexical.type == \"stat\" && firstChar == \"}\") lexical = lexical.prev;\n if (statementIndent && lexical.type == \")\" && lexical.prev.type == \"stat\")\n lexical = lexical.prev;\n var type = lexical.type, closing = firstChar == type;\n\n if (type == \"vardef\") return lexical.indented + (state.lastType == \"operator\" || state.lastType == \",\" ? lexical.info + 1 : 0);\n else if (type == \"form\" && firstChar == \"{\") return lexical.indented;\n else if (type == \"form\") return lexical.indented + indentUnit;\n else if (type == \"stat\")\n return lexical.indented + (state.lastType == \"operator\" || state.lastType == \",\" ? statementIndent || indentUnit : 0);\n else if (lexical.info == \"switch\" && !closing && parserConfig.doubleIndentSwitch != false)\n return lexical.indented + (/^(?:case|default)\\b/.test(textAfter) ? indentUnit : 2 * indentUnit);\n else if (lexical.align) return lexical.column + (closing ? 0 : 1);\n else return lexical.indented + (closing ? 0 : indentUnit);\n },\n\n electricChars: \":{}\",\n blockCommentStart: jsonMode ? null : \"/*\",\n blockCommentEnd: jsonMode ? null : \"*/\",\n lineComment: jsonMode ? null : \"//\",\n fold: \"brace\",\n\n helperType: jsonMode ? \"json\" : \"javascript\",\n jsonldMode: jsonldMode,\n jsonMode: jsonMode\n };\n});\n\nCodeMirror.registerHelper(\"wordChars\", \"javascript\", /[\\\\w$]/);\n\nCodeMirror.defineMIME(\"text/javascript\", \"javascript\");\nCodeMirror.defineMIME(\"text/ecmascript\", \"javascript\");\nCodeMirror.defineMIME(\"application/javascript\", \"javascript\");\nCodeMirror.defineMIME(\"application/ecmascript\", \"javascript\");\nCodeMirror.defineMIME(\"application/json\", {name: \"javascript\", json: true});\nCodeMirror.defineMIME(\"application/x-json\", {name: \"javascript\", json: true});\nCodeMirror.defineMIME(\"application/ld+json\", {name: \"javascript\", jsonld: true});\nCodeMirror.defineMIME(\"text/typescript\", { name: \"javascript\", typescript: true });\nCodeMirror.defineMIME(\"application/typescript\", { name: \"javascript\", typescript: true });\n\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/keymap/vim.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/keymap/vim.js",
"module-type": "library",
"text": "/**\n * Supported keybindings:\n *\n * Motion:\n * h, j, k, l\n * gj, gk\n * e, E, w, W, b, B, ge, gE\n * f<character>, F<character>, t<character>, T<character>\n * $, ^, 0, -, +, _\n * gg, G\n * %\n * '<character>, `<character>\n *\n * Operator:\n * d, y, c\n * dd, yy, cc\n * g~, g~g~\n * >, <, >>, <<\n *\n * Operator-Motion:\n * x, X, D, Y, C, ~\n *\n * Action:\n * a, i, s, A, I, S, o, O\n * zz, z., z<CR>, zt, zb, z-\n * J\n * u, Ctrl-r\n * m<character>\n * r<character>\n *\n * Modes:\n * ESC - leave insert mode, visual mode, and clear input state.\n * Ctrl-[, Ctrl-c - same as ESC.\n *\n * Registers: unnamed, -, a-z, A-Z, 0-9\n * (Does not respect the special case for number registers when delete\n * operator is made with these commands: %, (, ), , /, ?, n, N, {, } )\n * TODO: Implement the remaining registers.\n * Marks: a-z, A-Z, and 0-9\n * TODO: Implement the remaining special marks. They have more complex\n * behavior.\n *\n * Events:\n * 'vim-mode-change' - raised on the editor anytime the current mode changes,\n * Event object: {mode: \"visual\", subMode: \"linewise\"}\n *\n * Code structure:\n * 1. Default keymap\n * 2. Variable declarations and short basic helpers\n * 3. Instance (External API) implementation\n * 4. Internal state tracking objects (input state, counter) implementation\n * and instanstiation\n * 5. Key handler (the main command dispatcher) implementation\n * 6. Motion, operator, and action implementations\n * 7. Helper functions for the key handler, motions, operators, and actions\n * 8. Set up Vim to work as a keymap for CodeMirror.\n */\n\n(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../lib/codemirror\"), require(\"../addon/search/searchcursor\"), require(\"../addon/dialog/dialog\"), require(\"../addon/edit/matchbrackets.js\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../lib/codemirror\", \"../addon/search/searchcursor\", \"../addon/dialog/dialog\", \"../addon/edit/matchbrackets\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n 'use strict';\n\n var defaultKeymap = [\n // Key to key mapping. This goes first to make it possible to override\n // existing mappings.\n { keys: ['<Left>'], type: 'keyToKey', toKeys: ['h'] },\n { keys: ['<Right>'], type: 'keyToKey', toKeys: ['l'] },\n { keys: ['<Up>'], type: 'keyToKey', toKeys: ['k'] },\n { keys: ['<Down>'], type: 'keyToKey', toKeys: ['j'] },\n { keys: ['<Space>'], type: 'keyToKey', toKeys: ['l'] },\n { keys: ['<BS>'], type: 'keyToKey', toKeys: ['h'] },\n { keys: ['<C-Space>'], type: 'keyToKey', toKeys: ['W'] },\n { keys: ['<C-BS>'], type: 'keyToKey', toKeys: ['B'] },\n { keys: ['<S-Space>'], type: 'keyToKey', toKeys: ['w'] },\n { keys: ['<S-BS>'], type: 'keyToKey', toKeys: ['b'] },\n { keys: ['<C-n>'], type: 'keyToKey', toKeys: ['j'] },\n { keys: ['<C-p>'], type: 'keyToKey', toKeys: ['k'] },\n { keys: ['<C-[>'], type: 'keyToKey', toKeys: ['<Esc>'] },\n { keys: ['<C-c>'], type: 'keyToKey', toKeys: ['<Esc>'] },\n { keys: ['s'], type: 'keyToKey', toKeys: ['c', 'l'], context: 'normal' },\n { keys: ['s'], type: 'keyToKey', toKeys: ['x', 'i'], context: 'visual'},\n { keys: ['S'], type: 'keyToKey', toKeys: ['c', 'c'], context: 'normal' },\n { keys: ['S'], type: 'keyToKey', toKeys: ['d', 'c', 'c'], context: 'visual' },\n { keys: ['<Home>'], type: 'keyToKey', toKeys: ['0'] },\n { keys: ['<End>'], type: 'keyToKey', toKeys: ['$'] },\n { keys: ['<PageUp>'], type: 'keyToKey', toKeys: ['<C-b>'] },\n { keys: ['<PageDown>'], type: 'keyToKey', toKeys: ['<C-f>'] },\n { keys: ['<CR>'], type: 'keyToKey', toKeys: ['j', '^'], context: 'normal' },\n // Motions\n { keys: ['H'], type: 'motion',\n motion: 'moveToTopLine',\n motionArgs: { linewise: true, toJumplist: true }},\n { keys: ['M'], type: 'motion',\n motion: 'moveToMiddleLine',\n motionArgs: { linewise: true, toJumplist: true }},\n { keys: ['L'], type: 'motion',\n motion: 'moveToBottomLine',\n motionArgs: { linewise: true, toJumplist: true }},\n { keys: ['h'], type: 'motion',\n motion: 'moveByCharacters',\n motionArgs: { forward: false }},\n { keys: ['l'], type: 'motion',\n motion: 'moveByCharacters',\n motionArgs: { forward: true }},\n { keys: ['j'], type: 'motion',\n motion: 'moveByLines',\n motionArgs: { forward: true, linewise: true }},\n { keys: ['k'], type: 'motion',\n motion: 'moveByLines',\n motionArgs: { forward: false, linewise: true }},\n { keys: ['g','j'], type: 'motion',\n motion: 'moveByDisplayLines',\n motionArgs: { forward: true }},\n { keys: ['g','k'], type: 'motion',\n motion: 'moveByDisplayLines',\n motionArgs: { forward: false }},\n { keys: ['w'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: true, wordEnd: false }},\n { keys: ['W'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: true, wordEnd: false, bigWord: true }},\n { keys: ['e'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: true, wordEnd: true, inclusive: true }},\n { keys: ['E'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: true, wordEnd: true, bigWord: true,\n inclusive: true }},\n { keys: ['b'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: false, wordEnd: false }},\n { keys: ['B'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: false, wordEnd: false, bigWord: true }},\n { keys: ['g', 'e'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: false, wordEnd: true, inclusive: true }},\n { keys: ['g', 'E'], type: 'motion',\n motion: 'moveByWords',\n motionArgs: { forward: false, wordEnd: true, bigWord: true,\n inclusive: true }},\n { keys: ['{'], type: 'motion', motion: 'moveByParagraph',\n motionArgs: { forward: false, toJumplist: true }},\n { keys: ['}'], type: 'motion', motion: 'moveByParagraph',\n motionArgs: { forward: true, toJumplist: true }},\n { keys: ['<C-f>'], type: 'motion',\n motion: 'moveByPage', motionArgs: { forward: true }},\n { keys: ['<C-b>'], type: 'motion',\n motion: 'moveByPage', motionArgs: { forward: false }},\n { keys: ['<C-d>'], type: 'motion',\n motion: 'moveByScroll',\n motionArgs: { forward: true, explicitRepeat: true }},\n { keys: ['<C-u>'], type: 'motion',\n motion: 'moveByScroll',\n motionArgs: { forward: false, explicitRepeat: true }},\n { keys: ['g', 'g'], type: 'motion',\n motion: 'moveToLineOrEdgeOfDocument',\n motionArgs: { forward: false, explicitRepeat: true, linewise: true, toJumplist: true }},\n { keys: ['G'], type: 'motion',\n motion: 'moveToLineOrEdgeOfDocument',\n motionArgs: { forward: true, explicitRepeat: true, linewise: true, toJumplist: true }},\n { keys: ['0'], type: 'motion', motion: 'moveToStartOfLine' },\n { keys: ['^'], type: 'motion',\n motion: 'moveToFirstNonWhiteSpaceCharacter' },\n { keys: ['+'], type: 'motion',\n motion: 'moveByLines',\n motionArgs: { forward: true, toFirstChar:true }},\n { keys: ['-'], type: 'motion',\n motion: 'moveByLines',\n motionArgs: { forward: false, toFirstChar:true }},\n { keys: ['_'], type: 'motion',\n motion: 'moveByLines',\n motionArgs: { forward: true, toFirstChar:true, repeatOffset:-1 }},\n { keys: ['$'], type: 'motion',\n motion: 'moveToEol',\n motionArgs: { inclusive: true }},\n { keys: ['%'], type: 'motion',\n motion: 'moveToMatchedSymbol',\n motionArgs: { inclusive: true, toJumplist: true }},\n { keys: ['f', 'character'], type: 'motion',\n motion: 'moveToCharacter',\n motionArgs: { forward: true , inclusive: true }},\n { keys: ['F', 'character'], type: 'motion',\n motion: 'moveToCharacter',\n motionArgs: { forward: false }},\n { keys: ['t', 'character'], type: 'motion',\n motion: 'moveTillCharacter',\n motionArgs: { forward: true, inclusive: true }},\n { keys: ['T', 'character'], type: 'motion',\n motion: 'moveTillCharacter',\n motionArgs: { forward: false }},\n { keys: [';'], type: 'motion', motion: 'repeatLastCharacterSearch',\n motionArgs: { forward: true }},\n { keys: [','], type: 'motion', motion: 'repeatLastCharacterSearch',\n motionArgs: { forward: false }},\n { keys: ['\\'', 'character'], type: 'motion', motion: 'goToMark',\n motionArgs: {toJumplist: true, linewise: true}},\n { keys: ['`', 'character'], type: 'motion', motion: 'goToMark',\n motionArgs: {toJumplist: true}},\n { keys: [']', '`'], type: 'motion', motion: 'jumpToMark', motionArgs: { forward: true } },\n { keys: ['[', '`'], type: 'motion', motion: 'jumpToMark', motionArgs: { forward: false } },\n { keys: [']', '\\''], type: 'motion', motion: 'jumpToMark', motionArgs: { forward: true, linewise: true } },\n { keys: ['[', '\\''], type: 'motion', motion: 'jumpToMark', motionArgs: { forward: false, linewise: true } },\n // the next two aren't motions but must come before more general motion declarations\n { keys: [']', 'p'], type: 'action', action: 'paste', isEdit: true,\n actionArgs: { after: true, isEdit: true, matchIndent: true}},\n { keys: ['[', 'p'], type: 'action', action: 'paste', isEdit: true,\n actionArgs: { after: false, isEdit: true, matchIndent: true}},\n { keys: [']', 'character'], type: 'motion',\n motion: 'moveToSymbol',\n motionArgs: { forward: true, toJumplist: true}},\n { keys: ['[', 'character'], type: 'motion',\n motion: 'moveToSymbol',\n motionArgs: { forward: false, toJumplist: true}},\n { keys: ['|'], type: 'motion',\n motion: 'moveToColumn',\n motionArgs: { }},\n { keys: ['o'], type: 'motion', motion: 'moveToOtherHighlightedEnd', motionArgs: { },context:'visual'},\n // Operators\n { keys: ['d'], type: 'operator', operator: 'delete' },\n { keys: ['y'], type: 'operator', operator: 'yank' },\n { keys: ['c'], type: 'operator', operator: 'change' },\n { keys: ['>'], type: 'operator', operator: 'indent',\n operatorArgs: { indentRight: true }},\n { keys: ['<'], type: 'operator', operator: 'indent',\n operatorArgs: { indentRight: false }},\n { keys: ['g', '~'], type: 'operator', operator: 'swapcase' },\n { keys: ['n'], type: 'motion', motion: 'findNext',\n motionArgs: { forward: true, toJumplist: true }},\n { keys: ['N'], type: 'motion', motion: 'findNext',\n motionArgs: { forward: false, toJumplist: true }},\n // Operator-Motion dual commands\n { keys: ['x'], type: 'operatorMotion', operator: 'delete',\n motion: 'moveByCharacters', motionArgs: { forward: true },\n operatorMotionArgs: { visualLine: false }},\n { keys: ['X'], type: 'operatorMotion', operator: 'delete',\n motion: 'moveByCharacters', motionArgs: { forward: false },\n operatorMotionArgs: { visualLine: true }},\n { keys: ['D'], type: 'operatorMotion', operator: 'delete',\n motion: 'moveToEol', motionArgs: { inclusive: true },\n operatorMotionArgs: { visualLine: true }},\n { keys: ['Y'], type: 'operatorMotion', operator: 'yank',\n motion: 'moveToEol', motionArgs: { inclusive: true },\n operatorMotionArgs: { visualLine: true }},\n { keys: ['C'], type: 'operatorMotion',\n operator: 'change',\n motion: 'moveToEol', motionArgs: { inclusive: true },\n operatorMotionArgs: { visualLine: true }},\n { keys: ['~'], type: 'operatorMotion',\n operator: 'swapcase', operatorArgs: { shouldMoveCursor: true },\n motion: 'moveByCharacters', motionArgs: { forward: true }},\n // Actions\n { keys: ['<C-i>'], type: 'action', action: 'jumpListWalk',\n actionArgs: { forward: true }},\n { keys: ['<C-o>'], type: 'action', action: 'jumpListWalk',\n actionArgs: { forward: false }},\n { keys: ['<C-e>'], type: 'action',\n action: 'scroll',\n actionArgs: { forward: true, linewise: true }},\n { keys: ['<C-y>'], type: 'action',\n action: 'scroll',\n actionArgs: { forward: false, linewise: true }},\n { keys: ['a'], type: 'action', action: 'enterInsertMode', isEdit: true,\n actionArgs: { insertAt: 'charAfter' }},\n { keys: ['A'], type: 'action', action: 'enterInsertMode', isEdit: true,\n actionArgs: { insertAt: 'eol' }},\n { keys: ['i'], type: 'action', action: 'enterInsertMode', isEdit: true,\n actionArgs: { insertAt: 'inplace' }},\n { keys: ['I'], type: 'action', action: 'enterInsertMode', isEdit: true,\n actionArgs: { insertAt: 'firstNonBlank' }},\n { keys: ['o'], type: 'action', action: 'newLineAndEnterInsertMode',\n isEdit: true, interlaceInsertRepeat: true,\n actionArgs: { after: true }},\n { keys: ['O'], type: 'action', action: 'newLineAndEnterInsertMode',\n isEdit: true, interlaceInsertRepeat: true,\n actionArgs: { after: false }},\n { keys: ['v'], type: 'action', action: 'toggleVisualMode' },\n { keys: ['V'], type: 'action', action: 'toggleVisualMode',\n actionArgs: { linewise: true }},\n { keys: ['g', 'v'], type: 'action', action: 'reselectLastSelection' },\n { keys: ['J'], type: 'action', action: 'joinLines', isEdit: true },\n { keys: ['p'], type: 'action', action: 'paste', isEdit: true,\n actionArgs: { after: true, isEdit: true }},\n { keys: ['P'], type: 'action', action: 'paste', isEdit: true,\n actionArgs: { after: false, isEdit: true }},\n { keys: ['r', 'character'], type: 'action', action: 'replace', isEdit: true },\n { keys: ['@', 'character'], type: 'action', action: 'replayMacro' },\n { keys: ['q', 'character'], type: 'action', action: 'enterMacroRecordMode' },\n // Handle Replace-mode as a special case of insert mode.\n { keys: ['R'], type: 'action', action: 'enterInsertMode', isEdit: true,\n actionArgs: { replace: true }},\n { keys: ['u'], type: 'action', action: 'undo' },\n { keys: ['u'], type: 'action', action: 'changeCase', actionArgs: {toLower: true}, context: 'visual', isEdit: true },\n { keys: ['U'],type: 'action', action: 'changeCase', actionArgs: {toLower: false}, context: 'visual', isEdit: true },\n { keys: ['<C-r>'], type: 'action', action: 'redo' },\n { keys: ['m', 'character'], type: 'action', action: 'setMark' },\n { keys: ['\"', 'character'], type: 'action', action: 'setRegister' },\n { keys: ['z', 'z'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'center' }},\n { keys: ['z', '.'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'center' },\n motion: 'moveToFirstNonWhiteSpaceCharacter' },\n { keys: ['z', 't'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'top' }},\n { keys: ['z', '<CR>'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'top' },\n motion: 'moveToFirstNonWhiteSpaceCharacter' },\n { keys: ['z', '-'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'bottom' }},\n { keys: ['z', 'b'], type: 'action', action: 'scrollToCursor',\n actionArgs: { position: 'bottom' },\n motion: 'moveToFirstNonWhiteSpaceCharacter' },\n { keys: ['.'], type: 'action', action: 'repeatLastEdit' },\n { keys: ['<C-a>'], type: 'action', action: 'incrementNumberToken',\n isEdit: true,\n actionArgs: {increase: true, backtrack: false}},\n { keys: ['<C-x>'], type: 'action', action: 'incrementNumberToken',\n isEdit: true,\n actionArgs: {increase: false, backtrack: false}},\n // Text object motions\n { keys: ['a', 'character'], type: 'motion',\n motion: 'textObjectManipulation' },\n { keys: ['i', 'character'], type: 'motion',\n motion: 'textObjectManipulation',\n motionArgs: { textObjectInner: true }},\n // Search\n { keys: ['/'], type: 'search',\n searchArgs: { forward: true, querySrc: 'prompt', toJumplist: true }},\n { keys: ['?'], type: 'search',\n searchArgs: { forward: false, querySrc: 'prompt', toJumplist: true }},\n { keys: ['*'], type: 'search',\n searchArgs: { forward: true, querySrc: 'wordUnderCursor', wholeWordOnly: true, toJumplist: true }},\n { keys: ['#'], type: 'search',\n searchArgs: { forward: false, querySrc: 'wordUnderCursor', wholeWordOnly: true, toJumplist: true }},\n { keys: ['g', '*'], type: 'search', searchArgs: { forward: true, querySrc: 'wordUnderCursor', toJumplist: true }},\n { keys: ['g', '#'], type: 'search', searchArgs: { forward: false, querySrc: 'wordUnderCursor', toJumplist: true }},\n // Ex command\n { keys: [':'], type: 'ex' }\n ];\n\n var Pos = CodeMirror.Pos;\n\n var Vim = function() {\n CodeMirror.defineOption('vimMode', false, function(cm, val) {\n if (val) {\n cm.setOption('keyMap', 'vim');\n cm.setOption('disableInput', true);\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"normal\"});\n cm.on('beforeSelectionChange', beforeSelectionChange);\n cm.on('cursorActivity', onCursorActivity);\n maybeInitVimState(cm);\n CodeMirror.on(cm.getInputField(), 'paste', getOnPasteFn(cm));\n } else if (cm.state.vim) {\n cm.setOption('keyMap', 'default');\n cm.setOption('disableInput', false);\n cm.off('beforeSelectionChange', beforeSelectionChange);\n cm.off('cursorActivity', onCursorActivity);\n CodeMirror.off(cm.getInputField(), 'paste', getOnPasteFn(cm));\n cm.state.vim = null;\n }\n });\n function beforeSelectionChange(cm, obj) {\n var vim = cm.state.vim;\n if (vim.insertMode || vim.exMode) return;\n\n var head = obj.ranges[0].head;\n var anchor = obj.ranges[0].anchor;\n if (head.ch && head.ch == cm.doc.getLine(head.line).length) {\n var pos = Pos(head.line, head.ch - 1);\n obj.update([{anchor: cursorEqual(head, anchor) ? pos : anchor,\n head: pos}]);\n }\n }\n function getOnPasteFn(cm) {\n var vim = cm.state.vim;\n if (!vim.onPasteFn) {\n vim.onPasteFn = function() {\n if (!vim.insertMode) {\n cm.setCursor(offsetCursor(cm.getCursor(), 0, 1));\n actions.enterInsertMode(cm, {}, vim);\n }\n };\n }\n return vim.onPasteFn;\n }\n\n var numberRegex = /[\\d]/;\n var wordRegexp = [(/\\w/), (/[^\\w\\s]/)], bigWordRegexp = [(/\\S/)];\n function makeKeyRange(start, size) {\n var keys = [];\n for (var i = start; i < start + size; i++) {\n keys.push(String.fromCharCode(i));\n }\n return keys;\n }\n var upperCaseAlphabet = makeKeyRange(65, 26);\n var lowerCaseAlphabet = makeKeyRange(97, 26);\n var numbers = makeKeyRange(48, 10);\n var specialSymbols = '~`!@#$%^&*()_-+=[{}]\\\\|/?.,<>:;\"\\''.split('');\n var specialKeys = ['Left', 'Right', 'Up', 'Down', 'Space', 'Backspace',\n 'Esc', 'Home', 'End', 'PageUp', 'PageDown', 'Enter'];\n var validMarks = [].concat(upperCaseAlphabet, lowerCaseAlphabet, numbers, ['<', '>']);\n var validRegisters = [].concat(upperCaseAlphabet, lowerCaseAlphabet, numbers, ['-', '\"', '.', ':']);\n\n function isLine(cm, line) {\n return line >= cm.firstLine() && line <= cm.lastLine();\n }\n function isLowerCase(k) {\n return (/^[a-z]$/).test(k);\n }\n function isMatchableSymbol(k) {\n return '()[]{}'.indexOf(k) != -1;\n }\n function isNumber(k) {\n return numberRegex.test(k);\n }\n function isUpperCase(k) {\n return (/^[A-Z]$/).test(k);\n }\n function isWhiteSpaceString(k) {\n return (/^\\s*$/).test(k);\n }\n function inArray(val, arr) {\n for (var i = 0; i < arr.length; i++) {\n if (arr[i] == val) {\n return true;\n }\n }\n return false;\n }\n\n var options = {};\n function defineOption(name, defaultValue, type) {\n if (defaultValue === undefined) { throw Error('defaultValue is required'); }\n if (!type) { type = 'string'; }\n options[name] = {\n type: type,\n defaultValue: defaultValue\n };\n setOption(name, defaultValue);\n }\n\n function setOption(name, value) {\n var option = options[name];\n if (!option) {\n throw Error('Unknown option: ' + name);\n }\n if (option.type == 'boolean') {\n if (value && value !== true) {\n throw Error('Invalid argument: ' + name + '=' + value);\n } else if (value !== false) {\n // Boolean options are set to true if value is not defined.\n value = true;\n }\n }\n option.value = option.type == 'boolean' ? !!value : value;\n }\n\n function getOption(name) {\n var option = options[name];\n if (!option) {\n throw Error('Unknown option: ' + name);\n }\n return option.value;\n }\n\n var createCircularJumpList = function() {\n var size = 100;\n var pointer = -1;\n var head = 0;\n var tail = 0;\n var buffer = new Array(size);\n function add(cm, oldCur, newCur) {\n var current = pointer % size;\n var curMark = buffer[current];\n function useNextSlot(cursor) {\n var next = ++pointer % size;\n var trashMark = buffer[next];\n if (trashMark) {\n trashMark.clear();\n }\n buffer[next] = cm.setBookmark(cursor);\n }\n if (curMark) {\n var markPos = curMark.find();\n // avoid recording redundant cursor position\n if (markPos && !cursorEqual(markPos, oldCur)) {\n useNextSlot(oldCur);\n }\n } else {\n useNextSlot(oldCur);\n }\n useNextSlot(newCur);\n head = pointer;\n tail = pointer - size + 1;\n if (tail < 0) {\n tail = 0;\n }\n }\n function move(cm, offset) {\n pointer += offset;\n if (pointer > head) {\n pointer = head;\n } else if (pointer < tail) {\n pointer = tail;\n }\n var mark = buffer[(size + pointer) % size];\n // skip marks that are temporarily removed from text buffer\n if (mark && !mark.find()) {\n var inc = offset > 0 ? 1 : -1;\n var newCur;\n var oldCur = cm.getCursor();\n do {\n pointer += inc;\n mark = buffer[(size + pointer) % size];\n // skip marks that are the same as current position\n if (mark &&\n (newCur = mark.find()) &&\n !cursorEqual(oldCur, newCur)) {\n break;\n }\n } while (pointer < head && pointer > tail);\n }\n return mark;\n }\n return {\n cachedCursor: undefined, //used for # and * jumps\n add: add,\n move: move\n };\n };\n\n // Returns an object to track the changes associated insert mode. It\n // clones the object that is passed in, or creates an empty object one if\n // none is provided.\n var createInsertModeChanges = function(c) {\n if (c) {\n // Copy construction\n return {\n changes: c.changes,\n expectCursorActivityForChange: c.expectCursorActivityForChange\n };\n }\n return {\n // Change list\n changes: [],\n // Set to true on change, false on cursorActivity.\n expectCursorActivityForChange: false\n };\n };\n\n function MacroModeState() {\n this.latestRegister = undefined;\n this.isPlaying = false;\n this.isRecording = false;\n this.replaySearchQueries = [];\n this.onRecordingDone = undefined;\n this.lastInsertModeChanges = createInsertModeChanges();\n }\n MacroModeState.prototype = {\n exitMacroRecordMode: function() {\n var macroModeState = vimGlobalState.macroModeState;\n macroModeState.onRecordingDone(); // close dialog\n macroModeState.onRecordingDone = undefined;\n macroModeState.isRecording = false;\n },\n enterMacroRecordMode: function(cm, registerName) {\n var register =\n vimGlobalState.registerController.getRegister(registerName);\n if (register) {\n register.clear();\n this.latestRegister = registerName;\n this.onRecordingDone = cm.openDialog(\n '(recording)['+registerName+']', null, {bottom:true});\n this.isRecording = true;\n }\n }\n };\n\n function maybeInitVimState(cm) {\n if (!cm.state.vim) {\n // Store instance state in the CodeMirror object.\n cm.state.vim = {\n inputState: new InputState(),\n // Vim's input state that triggered the last edit, used to repeat\n // motions and operators with '.'.\n lastEditInputState: undefined,\n // Vim's action command before the last edit, used to repeat actions\n // with '.' and insert mode repeat.\n lastEditActionCommand: undefined,\n // When using jk for navigation, if you move from a longer line to a\n // shorter line, the cursor may clip to the end of the shorter line.\n // If j is pressed again and cursor goes to the next line, the\n // cursor should go back to its horizontal position on the longer\n // line if it can. This is to keep track of the horizontal position.\n lastHPos: -1,\n // Doing the same with screen-position for gj/gk\n lastHSPos: -1,\n // The last motion command run. Cleared if a non-motion command gets\n // executed in between.\n lastMotion: null,\n marks: {},\n insertMode: false,\n // Repeat count for changes made in insert mode, triggered by key\n // sequences like 3,i. Only exists when insertMode is true.\n insertModeRepeat: undefined,\n visualMode: false,\n // If we are in visual line mode. No effect if visualMode is false.\n visualLine: false,\n lastSelection: null\n };\n }\n return cm.state.vim;\n }\n var vimGlobalState;\n function resetVimGlobalState() {\n vimGlobalState = {\n // The current search query.\n searchQuery: null,\n // Whether we are searching backwards.\n searchIsReversed: false,\n // Replace part of the last substituted pattern\n lastSubstituteReplacePart: undefined,\n jumpList: createCircularJumpList(),\n macroModeState: new MacroModeState,\n // Recording latest f, t, F or T motion command.\n lastChararacterSearch: {increment:0, forward:true, selectedCharacter:''},\n registerController: new RegisterController({})\n };\n for (var optionName in options) {\n var option = options[optionName];\n option.value = option.defaultValue;\n }\n }\n\n var vimApi= {\n buildKeyMap: function() {\n // TODO: Convert keymap into dictionary format for fast lookup.\n },\n // Testing hook, though it might be useful to expose the register\n // controller anyways.\n getRegisterController: function() {\n return vimGlobalState.registerController;\n },\n // Testing hook.\n resetVimGlobalState_: resetVimGlobalState,\n\n // Testing hook.\n getVimGlobalState_: function() {\n return vimGlobalState;\n },\n\n // Testing hook.\n maybeInitVimState_: maybeInitVimState,\n\n InsertModeKey: InsertModeKey,\n map: function(lhs, rhs, ctx) {\n // Add user defined key bindings.\n exCommandDispatcher.map(lhs, rhs, ctx);\n },\n setOption: setOption,\n getOption: getOption,\n defineOption: defineOption,\n defineEx: function(name, prefix, func){\n if (name.indexOf(prefix) !== 0) {\n throw new Error('(Vim.defineEx) \"'+prefix+'\" is not a prefix of \"'+name+'\", command not registered');\n }\n exCommands[name]=func;\n exCommandDispatcher.commandMap_[prefix]={name:name, shortName:prefix, type:'api'};\n },\n // This is the outermost function called by CodeMirror, after keys have\n // been mapped to their Vim equivalents.\n handleKey: function(cm, key) {\n var command;\n var vim = maybeInitVimState(cm);\n var macroModeState = vimGlobalState.macroModeState;\n if (macroModeState.isRecording) {\n if (key == 'q') {\n macroModeState.exitMacroRecordMode();\n vim.inputState = new InputState();\n return;\n }\n }\n if (key == '<Esc>') {\n // Clear input state and get back to normal mode.\n vim.inputState = new InputState();\n if (vim.visualMode) {\n exitVisualMode(cm);\n }\n return;\n }\n // Enter visual mode when the mouse selects text.\n if (!vim.visualMode &&\n !cursorEqual(cm.getCursor('head'), cm.getCursor('anchor'))) {\n vim.visualMode = true;\n vim.visualLine = false;\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"visual\"});\n cm.on('mousedown', exitVisualMode);\n }\n if (key != '0' || (key == '0' && vim.inputState.getRepeat() === 0)) {\n // Have to special case 0 since it's both a motion and a number.\n command = commandDispatcher.matchCommand(key, defaultKeymap, vim);\n }\n if (!command) {\n if (isNumber(key)) {\n // Increment count unless count is 0 and key is 0.\n vim.inputState.pushRepeatDigit(key);\n }\n if (macroModeState.isRecording) {\n logKey(macroModeState, key);\n }\n return;\n }\n if (command.type == 'keyToKey') {\n // TODO: prevent infinite recursion.\n for (var i = 0; i < command.toKeys.length; i++) {\n this.handleKey(cm, command.toKeys[i]);\n }\n } else {\n if (macroModeState.isRecording) {\n logKey(macroModeState, key);\n }\n commandDispatcher.processCommand(cm, vim, command);\n }\n },\n handleEx: function(cm, input) {\n exCommandDispatcher.processCommand(cm, input);\n }\n };\n\n // Represents the current input state.\n function InputState() {\n this.prefixRepeat = [];\n this.motionRepeat = [];\n\n this.operator = null;\n this.operatorArgs = null;\n this.motion = null;\n this.motionArgs = null;\n this.keyBuffer = []; // For matching multi-key commands.\n this.registerName = null; // Defaults to the unnamed register.\n }\n InputState.prototype.pushRepeatDigit = function(n) {\n if (!this.operator) {\n this.prefixRepeat = this.prefixRepeat.concat(n);\n } else {\n this.motionRepeat = this.motionRepeat.concat(n);\n }\n };\n InputState.prototype.getRepeat = function() {\n var repeat = 0;\n if (this.prefixRepeat.length > 0 || this.motionRepeat.length > 0) {\n repeat = 1;\n if (this.prefixRepeat.length > 0) {\n repeat *= parseInt(this.prefixRepeat.join(''), 10);\n }\n if (this.motionRepeat.length > 0) {\n repeat *= parseInt(this.motionRepeat.join(''), 10);\n }\n }\n return repeat;\n };\n\n /*\n * Register stores information about copy and paste registers. Besides\n * text, a register must store whether it is linewise (i.e., when it is\n * pasted, should it insert itself into a new line, or should the text be\n * inserted at the cursor position.)\n */\n function Register(text, linewise) {\n this.clear();\n this.keyBuffer = [text || ''];\n this.insertModeChanges = [];\n this.searchQueries = [];\n this.linewise = !!linewise;\n }\n Register.prototype = {\n setText: function(text, linewise) {\n this.keyBuffer = [text || ''];\n this.linewise = !!linewise;\n },\n pushText: function(text, linewise) {\n // if this register has ever been set to linewise, use linewise.\n if (linewise) {\n if (!this.linewise) {\n this.keyBuffer.push('\\n');\n }\n this.linewise = true;\n }\n this.keyBuffer.push(text);\n },\n pushInsertModeChanges: function(changes) {\n this.insertModeChanges.push(createInsertModeChanges(changes));\n },\n pushSearchQuery: function(query) {\n this.searchQueries.push(query);\n },\n clear: function() {\n this.keyBuffer = [];\n this.insertModeChanges = [];\n this.searchQueries = [];\n this.linewise = false;\n },\n toString: function() {\n return this.keyBuffer.join('');\n }\n };\n\n /*\n * vim registers allow you to keep many independent copy and paste buffers.\n * See http://usevim.com/2012/04/13/registers/ for an introduction.\n *\n * RegisterController keeps the state of all the registers. An initial\n * state may be passed in. The unnamed register '\"' will always be\n * overridden.\n */\n function RegisterController(registers) {\n this.registers = registers;\n this.unnamedRegister = registers['\"'] = new Register();\n registers['.'] = new Register();\n registers[':'] = new Register();\n }\n RegisterController.prototype = {\n pushText: function(registerName, operator, text, linewise) {\n if (linewise && text.charAt(0) == '\\n') {\n text = text.slice(1) + '\\n';\n }\n if (linewise && text.charAt(text.length - 1) !== '\\n'){\n text += '\\n';\n }\n // Lowercase and uppercase registers refer to the same register.\n // Uppercase just means append.\n var register = this.isValidRegister(registerName) ?\n this.getRegister(registerName) : null;\n // if no register/an invalid register was specified, things go to the\n // default registers\n if (!register) {\n switch (operator) {\n case 'yank':\n // The 0 register contains the text from the most recent yank.\n this.registers['0'] = new Register(text, linewise);\n break;\n case 'delete':\n case 'change':\n if (text.indexOf('\\n') == -1) {\n // Delete less than 1 line. Update the small delete register.\n this.registers['-'] = new Register(text, linewise);\n } else {\n // Shift down the contents of the numbered registers and put the\n // deleted text into register 1.\n this.shiftNumericRegisters_();\n this.registers['1'] = new Register(text, linewise);\n }\n break;\n }\n // Make sure the unnamed register is set to what just happened\n this.unnamedRegister.setText(text, linewise);\n return;\n }\n\n // If we've gotten to this point, we've actually specified a register\n var append = isUpperCase(registerName);\n if (append) {\n register.pushText(text, linewise);\n } else {\n register.setText(text, linewise);\n }\n // The unnamed register always has the same value as the last used\n // register.\n this.unnamedRegister.setText(register.toString(), linewise);\n },\n // Gets the register named @name. If one of @name doesn't already exist,\n // create it. If @name is invalid, return the unnamedRegister.\n getRegister: function(name) {\n if (!this.isValidRegister(name)) {\n return this.unnamedRegister;\n }\n name = name.toLowerCase();\n if (!this.registers[name]) {\n this.registers[name] = new Register();\n }\n return this.registers[name];\n },\n isValidRegister: function(name) {\n return name && inArray(name, validRegisters);\n },\n shiftNumericRegisters_: function() {\n for (var i = 9; i >= 2; i--) {\n this.registers[i] = this.getRegister('' + (i - 1));\n }\n }\n };\n\n var commandDispatcher = {\n matchCommand: function(key, keyMap, vim) {\n var inputState = vim.inputState;\n var keys = inputState.keyBuffer.concat(key);\n var matchedCommands = [];\n var selectedCharacter;\n for (var i = 0; i < keyMap.length; i++) {\n var command = keyMap[i];\n if (matchKeysPartial(keys, command.keys)) {\n if (inputState.operator && command.type == 'action') {\n // Ignore matched action commands after an operator. Operators\n // only operate on motions. This check is really for text\n // objects since aW, a[ etcs conflicts with a.\n continue;\n }\n // Match commands that take <character> as an argument.\n if (command.keys[keys.length - 1] == 'character') {\n selectedCharacter = keys[keys.length - 1];\n if (selectedCharacter.length>1){\n switch(selectedCharacter){\n case '<CR>':\n selectedCharacter='\\n';\n break;\n case '<Space>':\n selectedCharacter=' ';\n break;\n default:\n continue;\n }\n }\n }\n // Add the command to the list of matched commands. Choose the best\n // command later.\n matchedCommands.push(command);\n }\n }\n\n // Returns the command if it is a full match, or null if not.\n function getFullyMatchedCommandOrNull(command) {\n if (keys.length < command.keys.length) {\n // Matches part of a multi-key command. Buffer and wait for next\n // stroke.\n inputState.keyBuffer.push(key);\n return null;\n } else {\n if (command.keys[keys.length - 1] == 'character') {\n inputState.selectedCharacter = selectedCharacter;\n }\n // Clear the buffer since a full match was found.\n inputState.keyBuffer = [];\n return command;\n }\n }\n\n if (!matchedCommands.length) {\n // Clear the buffer since there were no matches.\n inputState.keyBuffer = [];\n return null;\n } else if (matchedCommands.length == 1) {\n return getFullyMatchedCommandOrNull(matchedCommands[0]);\n } else {\n // Find the best match in the list of matchedCommands.\n var context = vim.visualMode ? 'visual' : 'normal';\n var bestMatch; // Default to first in the list.\n for (var i = 0; i < matchedCommands.length; i++) {\n var current = matchedCommands[i];\n if (current.context == context) {\n bestMatch = current;\n break;\n } else if (!bestMatch && !current.context) {\n // Only set an imperfect match to best match if no best match is\n // set and the imperfect match is not restricted to another\n // context.\n bestMatch = current;\n }\n }\n return getFullyMatchedCommandOrNull(bestMatch);\n }\n },\n processCommand: function(cm, vim, command) {\n vim.inputState.repeatOverride = command.repeatOverride;\n switch (command.type) {\n case 'motion':\n this.processMotion(cm, vim, command);\n break;\n case 'operator':\n this.processOperator(cm, vim, command);\n break;\n case 'operatorMotion':\n this.processOperatorMotion(cm, vim, command);\n break;\n case 'action':\n this.processAction(cm, vim, command);\n break;\n case 'search':\n this.processSearch(cm, vim, command);\n break;\n case 'ex':\n case 'keyToEx':\n this.processEx(cm, vim, command);\n break;\n default:\n break;\n }\n },\n processMotion: function(cm, vim, command) {\n vim.inputState.motion = command.motion;\n vim.inputState.motionArgs = copyArgs(command.motionArgs);\n this.evalInput(cm, vim);\n },\n processOperator: function(cm, vim, command) {\n var inputState = vim.inputState;\n if (inputState.operator) {\n if (inputState.operator == command.operator) {\n // Typing an operator twice like 'dd' makes the operator operate\n // linewise\n inputState.motion = 'expandToLine';\n inputState.motionArgs = { linewise: true };\n this.evalInput(cm, vim);\n return;\n } else {\n // 2 different operators in a row doesn't make sense.\n vim.inputState = new InputState();\n }\n }\n inputState.operator = command.operator;\n inputState.operatorArgs = copyArgs(command.operatorArgs);\n if (vim.visualMode) {\n // Operating on a selection in visual mode. We don't need a motion.\n this.evalInput(cm, vim);\n }\n },\n processOperatorMotion: function(cm, vim, command) {\n var visualMode = vim.visualMode;\n var operatorMotionArgs = copyArgs(command.operatorMotionArgs);\n if (operatorMotionArgs) {\n // Operator motions may have special behavior in visual mode.\n if (visualMode && operatorMotionArgs.visualLine) {\n vim.visualLine = true;\n }\n }\n this.processOperator(cm, vim, command);\n if (!visualMode) {\n this.processMotion(cm, vim, command);\n }\n },\n processAction: function(cm, vim, command) {\n var inputState = vim.inputState;\n var repeat = inputState.getRepeat();\n var repeatIsExplicit = !!repeat;\n var actionArgs = copyArgs(command.actionArgs) || {};\n if (inputState.selectedCharacter) {\n actionArgs.selectedCharacter = inputState.selectedCharacter;\n }\n // Actions may or may not have motions and operators. Do these first.\n if (command.operator) {\n this.processOperator(cm, vim, command);\n }\n if (command.motion) {\n this.processMotion(cm, vim, command);\n }\n if (command.motion || command.operator) {\n this.evalInput(cm, vim);\n }\n actionArgs.repeat = repeat || 1;\n actionArgs.repeatIsExplicit = repeatIsExplicit;\n actionArgs.registerName = inputState.registerName;\n vim.inputState = new InputState();\n vim.lastMotion = null;\n if (command.isEdit) {\n this.recordLastEdit(vim, inputState, command);\n }\n actions[command.action](cm, actionArgs, vim);\n },\n processSearch: function(cm, vim, command) {\n if (!cm.getSearchCursor) {\n // Search depends on SearchCursor.\n return;\n }\n var forward = command.searchArgs.forward;\n var wholeWordOnly = command.searchArgs.wholeWordOnly;\n getSearchState(cm).setReversed(!forward);\n var promptPrefix = (forward) ? '/' : '?';\n var originalQuery = getSearchState(cm).getQuery();\n var originalScrollPos = cm.getScrollInfo();\n function handleQuery(query, ignoreCase, smartCase) {\n try {\n updateSearchQuery(cm, query, ignoreCase, smartCase);\n } catch (e) {\n showConfirm(cm, 'Invalid regex: ' + query);\n return;\n }\n commandDispatcher.processMotion(cm, vim, {\n type: 'motion',\n motion: 'findNext',\n motionArgs: { forward: true, toJumplist: command.searchArgs.toJumplist }\n });\n }\n function onPromptClose(query) {\n cm.scrollTo(originalScrollPos.left, originalScrollPos.top);\n handleQuery(query, true /** ignoreCase */, true /** smartCase */);\n var macroModeState = vimGlobalState.macroModeState;\n if (macroModeState.isRecording) {\n logSearchQuery(macroModeState, query);\n }\n }\n function onPromptKeyUp(_e, query) {\n var parsedQuery;\n try {\n parsedQuery = updateSearchQuery(cm, query,\n true /** ignoreCase */, true /** smartCase */);\n } catch (e) {\n // Swallow bad regexes for incremental search.\n }\n if (parsedQuery) {\n cm.scrollIntoView(findNext(cm, !forward, parsedQuery), 30);\n } else {\n clearSearchHighlight(cm);\n cm.scrollTo(originalScrollPos.left, originalScrollPos.top);\n }\n }\n function onPromptKeyDown(e, _query, close) {\n var keyName = CodeMirror.keyName(e);\n if (keyName == 'Esc' || keyName == 'Ctrl-C' || keyName == 'Ctrl-[') {\n updateSearchQuery(cm, originalQuery);\n clearSearchHighlight(cm);\n cm.scrollTo(originalScrollPos.left, originalScrollPos.top);\n\n CodeMirror.e_stop(e);\n close();\n cm.focus();\n }\n }\n switch (command.searchArgs.querySrc) {\n case 'prompt':\n var macroModeState = vimGlobalState.macroModeState;\n if (macroModeState.isPlaying) {\n var query = macroModeState.replaySearchQueries.shift();\n handleQuery(query, true /** ignoreCase */, false /** smartCase */);\n } else {\n showPrompt(cm, {\n onClose: onPromptClose,\n prefix: promptPrefix,\n desc: searchPromptDesc,\n onKeyUp: onPromptKeyUp,\n onKeyDown: onPromptKeyDown\n });\n }\n break;\n case 'wordUnderCursor':\n var word = expandWordUnderCursor(cm, false /** inclusive */,\n true /** forward */, false /** bigWord */,\n true /** noSymbol */);\n var isKeyword = true;\n if (!word) {\n word = expandWordUnderCursor(cm, false /** inclusive */,\n true /** forward */, false /** bigWord */,\n false /** noSymbol */);\n isKeyword = false;\n }\n if (!word) {\n return;\n }\n var query = cm.getLine(word.start.line).substring(word.start.ch,\n word.end.ch);\n if (isKeyword && wholeWordOnly) {\n query = '\\\\b' + query + '\\\\b';\n } else {\n query = escapeRegex(query);\n }\n\n // cachedCursor is used to save the old position of the cursor\n // when * or # causes vim to seek for the nearest word and shift\n // the cursor before entering the motion.\n vimGlobalState.jumpList.cachedCursor = cm.getCursor();\n cm.setCursor(word.start);\n\n handleQuery(query, true /** ignoreCase */, false /** smartCase */);\n break;\n }\n },\n processEx: function(cm, vim, command) {\n function onPromptClose(input) {\n // Give the prompt some time to close so that if processCommand shows\n // an error, the elements don't overlap.\n exCommandDispatcher.processCommand(cm, input);\n }\n function onPromptKeyDown(e, _input, close) {\n var keyName = CodeMirror.keyName(e);\n if (keyName == 'Esc' || keyName == 'Ctrl-C' || keyName == 'Ctrl-[') {\n CodeMirror.e_stop(e);\n close();\n cm.focus();\n }\n }\n if (command.type == 'keyToEx') {\n // Handle user defined Ex to Ex mappings\n exCommandDispatcher.processCommand(cm, command.exArgs.input);\n } else {\n if (vim.visualMode) {\n showPrompt(cm, { onClose: onPromptClose, prefix: ':', value: '\\'<,\\'>',\n onKeyDown: onPromptKeyDown});\n } else {\n showPrompt(cm, { onClose: onPromptClose, prefix: ':',\n onKeyDown: onPromptKeyDown});\n }\n }\n },\n evalInput: function(cm, vim) {\n // If the motion comand is set, execute both the operator and motion.\n // Otherwise return.\n var inputState = vim.inputState;\n var motion = inputState.motion;\n var motionArgs = inputState.motionArgs || {};\n var operator = inputState.operator;\n var operatorArgs = inputState.operatorArgs || {};\n var registerName = inputState.registerName;\n var selectionEnd = copyCursor(cm.getCursor('head'));\n var selectionStart = copyCursor(cm.getCursor('anchor'));\n // The difference between cur and selection cursors are that cur is\n // being operated on and ignores that there is a selection.\n var curStart = copyCursor(selectionEnd);\n var curOriginal = copyCursor(curStart);\n var curEnd;\n var repeat;\n if (operator) {\n this.recordLastEdit(vim, inputState);\n }\n if (inputState.repeatOverride !== undefined) {\n // If repeatOverride is specified, that takes precedence over the\n // input state's repeat. Used by Ex mode and can be user defined.\n repeat = inputState.repeatOverride;\n } else {\n repeat = inputState.getRepeat();\n }\n if (repeat > 0 && motionArgs.explicitRepeat) {\n motionArgs.repeatIsExplicit = true;\n } else if (motionArgs.noRepeat ||\n (!motionArgs.explicitRepeat && repeat === 0)) {\n repeat = 1;\n motionArgs.repeatIsExplicit = false;\n }\n if (inputState.selectedCharacter) {\n // If there is a character input, stick it in all of the arg arrays.\n motionArgs.selectedCharacter = operatorArgs.selectedCharacter =\n inputState.selectedCharacter;\n }\n motionArgs.repeat = repeat;\n vim.inputState = new InputState();\n if (motion) {\n var motionResult = motions[motion](cm, motionArgs, vim);\n vim.lastMotion = motions[motion];\n if (!motionResult) {\n return;\n }\n if (motionArgs.toJumplist) {\n var jumpList = vimGlobalState.jumpList;\n // if the current motion is # or *, use cachedCursor\n var cachedCursor = jumpList.cachedCursor;\n if (cachedCursor) {\n recordJumpPosition(cm, cachedCursor, motionResult);\n delete jumpList.cachedCursor;\n } else {\n recordJumpPosition(cm, curOriginal, motionResult);\n }\n }\n if (motionResult instanceof Array) {\n curStart = motionResult[0];\n curEnd = motionResult[1];\n } else {\n curEnd = motionResult;\n }\n // TODO: Handle null returns from motion commands better.\n if (!curEnd) {\n curEnd = Pos(curStart.line, curStart.ch);\n }\n if (vim.visualMode) {\n // Check if the selection crossed over itself. Will need to shift\n // the start point if that happened.\n if (cursorIsBefore(selectionStart, selectionEnd) &&\n (cursorEqual(selectionStart, curEnd) ||\n cursorIsBefore(curEnd, selectionStart))) {\n // The end of the selection has moved from after the start to\n // before the start. We will shift the start right by 1.\n selectionStart.ch += 1;\n } else if (cursorIsBefore(selectionEnd, selectionStart) &&\n (cursorEqual(selectionStart, curEnd) ||\n cursorIsBefore(selectionStart, curEnd))) {\n // The opposite happened. We will shift the start left by 1.\n selectionStart.ch -= 1;\n }\n selectionEnd = curEnd;\n selectionStart = (motionResult instanceof Array) ? curStart : selectionStart;\n if (vim.visualLine) {\n if (cursorIsBefore(selectionStart, selectionEnd)) {\n selectionStart.ch = 0;\n\n var lastLine = cm.lastLine();\n if (selectionEnd.line > lastLine) {\n selectionEnd.line = lastLine;\n }\n selectionEnd.ch = lineLength(cm, selectionEnd.line);\n } else {\n selectionEnd.ch = 0;\n selectionStart.ch = lineLength(cm, selectionStart.line);\n }\n }\n cm.setSelection(selectionStart, selectionEnd);\n updateMark(cm, vim, '<',\n cursorIsBefore(selectionStart, selectionEnd) ? selectionStart\n : selectionEnd);\n updateMark(cm, vim, '>',\n cursorIsBefore(selectionStart, selectionEnd) ? selectionEnd\n : selectionStart);\n } else if (!operator) {\n curEnd = clipCursorToContent(cm, curEnd);\n cm.setCursor(curEnd.line, curEnd.ch);\n }\n }\n\n if (operator) {\n var inverted = false;\n vim.lastMotion = null;\n operatorArgs.repeat = repeat; // Indent in visual mode needs this.\n if (vim.visualMode) {\n curStart = selectionStart;\n curEnd = selectionEnd;\n motionArgs.inclusive = true;\n }\n // Swap start and end if motion was backward.\n if (curEnd && cursorIsBefore(curEnd, curStart)) {\n var tmp = curStart;\n curStart = curEnd;\n curEnd = tmp;\n inverted = true;\n } else if (!curEnd) {\n curEnd = copyCursor(curStart);\n }\n if (motionArgs.inclusive && !(vim.visualMode && inverted)) {\n // Move the selection end one to the right to include the last\n // character.\n curEnd.ch++;\n }\n if (operatorArgs.selOffset) {\n // Replaying a visual mode operation\n curEnd.line = curStart.line + operatorArgs.selOffset.line;\n if (operatorArgs.selOffset.line) {curEnd.ch = operatorArgs.selOffset.ch; }\n else { curEnd.ch = curStart.ch + operatorArgs.selOffset.ch; }\n } else if (vim.visualMode) {\n var selOffset = Pos();\n selOffset.line = curEnd.line - curStart.line;\n if (selOffset.line) { selOffset.ch = curEnd.ch; }\n else { selOffset.ch = curEnd.ch - curStart.ch; }\n operatorArgs.selOffset = selOffset;\n }\n var linewise = motionArgs.linewise ||\n (vim.visualMode && vim.visualLine) ||\n operatorArgs.linewise;\n if (linewise) {\n // Expand selection to entire line.\n expandSelectionToLine(cm, curStart, curEnd);\n } else if (motionArgs.forward) {\n // Clip to trailing newlines only if the motion goes forward.\n clipToLine(cm, curStart, curEnd);\n }\n operatorArgs.registerName = registerName;\n // Keep track of linewise as it affects how paste and change behave.\n operatorArgs.linewise = linewise;\n operators[operator](cm, operatorArgs, vim, curStart,\n curEnd, curOriginal);\n if (vim.visualMode) {\n exitVisualMode(cm);\n }\n }\n },\n recordLastEdit: function(vim, inputState, actionCommand) {\n var macroModeState = vimGlobalState.macroModeState;\n if (macroModeState.isPlaying) { return; }\n vim.lastEditInputState = inputState;\n vim.lastEditActionCommand = actionCommand;\n macroModeState.lastInsertModeChanges.changes = [];\n macroModeState.lastInsertModeChanges.expectCursorActivityForChange = false;\n }\n };\n\n /**\n * typedef {Object{line:number,ch:number}} Cursor An object containing the\n * position of the cursor.\n */\n // All of the functions below return Cursor objects.\n var motions = {\n moveToTopLine: function(cm, motionArgs) {\n var line = getUserVisibleLines(cm).top + motionArgs.repeat -1;\n return Pos(line, findFirstNonWhiteSpaceCharacter(cm.getLine(line)));\n },\n moveToMiddleLine: function(cm) {\n var range = getUserVisibleLines(cm);\n var line = Math.floor((range.top + range.bottom) * 0.5);\n return Pos(line, findFirstNonWhiteSpaceCharacter(cm.getLine(line)));\n },\n moveToBottomLine: function(cm, motionArgs) {\n var line = getUserVisibleLines(cm).bottom - motionArgs.repeat +1;\n return Pos(line, findFirstNonWhiteSpaceCharacter(cm.getLine(line)));\n },\n expandToLine: function(cm, motionArgs) {\n // Expands forward to end of line, and then to next line if repeat is\n // >1. Does not handle backward motion!\n var cur = cm.getCursor();\n return Pos(cur.line + motionArgs.repeat - 1, Infinity);\n },\n findNext: function(cm, motionArgs) {\n var state = getSearchState(cm);\n var query = state.getQuery();\n if (!query) {\n return;\n }\n var prev = !motionArgs.forward;\n // If search is initiated with ? instead of /, negate direction.\n prev = (state.isReversed()) ? !prev : prev;\n highlightSearchMatches(cm, query);\n return findNext(cm, prev/** prev */, query, motionArgs.repeat);\n },\n goToMark: function(cm, motionArgs, vim) {\n var mark = vim.marks[motionArgs.selectedCharacter];\n if (mark) {\n var pos = mark.find();\n return motionArgs.linewise ? { line: pos.line, ch: findFirstNonWhiteSpaceCharacter(cm.getLine(pos.line)) } : pos;\n }\n return null;\n },\n moveToOtherHighlightedEnd: function(cm) {\n var curEnd = copyCursor(cm.getCursor('head'));\n var curStart = copyCursor(cm.getCursor('anchor'));\n if (cursorIsBefore(curStart, curEnd)) {\n curEnd.ch += 1;\n } else if (cursorIsBefore(curEnd, curStart)) {\n curStart.ch -= 1;\n }\n return ([curEnd,curStart]);\n },\n jumpToMark: function(cm, motionArgs, vim) {\n var best = cm.getCursor();\n for (var i = 0; i < motionArgs.repeat; i++) {\n var cursor = best;\n for (var key in vim.marks) {\n if (!isLowerCase(key)) {\n continue;\n }\n var mark = vim.marks[key].find();\n var isWrongDirection = (motionArgs.forward) ?\n cursorIsBefore(mark, cursor) : cursorIsBefore(cursor, mark);\n\n if (isWrongDirection) {\n continue;\n }\n if (motionArgs.linewise && (mark.line == cursor.line)) {\n continue;\n }\n\n var equal = cursorEqual(cursor, best);\n var between = (motionArgs.forward) ?\n cusrorIsBetween(cursor, mark, best) :\n cusrorIsBetween(best, mark, cursor);\n\n if (equal || between) {\n best = mark;\n }\n }\n }\n\n if (motionArgs.linewise) {\n // Vim places the cursor on the first non-whitespace character of\n // the line if there is one, else it places the cursor at the end\n // of the line, regardless of whether a mark was found.\n best = Pos(best.line, findFirstNonWhiteSpaceCharacter(cm.getLine(best.line)));\n }\n return best;\n },\n moveByCharacters: function(cm, motionArgs) {\n var cur = cm.getCursor();\n var repeat = motionArgs.repeat;\n var ch = motionArgs.forward ? cur.ch + repeat : cur.ch - repeat;\n return Pos(cur.line, ch);\n },\n moveByLines: function(cm, motionArgs, vim) {\n var cur = cm.getCursor();\n var endCh = cur.ch;\n // Depending what our last motion was, we may want to do different\n // things. If our last motion was moving vertically, we want to\n // preserve the HPos from our last horizontal move. If our last motion\n // was going to the end of a line, moving vertically we should go to\n // the end of the line, etc.\n switch (vim.lastMotion) {\n case this.moveByLines:\n case this.moveByDisplayLines:\n case this.moveByScroll:\n case this.moveToColumn:\n case this.moveToEol:\n endCh = vim.lastHPos;\n break;\n default:\n vim.lastHPos = endCh;\n }\n var repeat = motionArgs.repeat+(motionArgs.repeatOffset||0);\n var line = motionArgs.forward ? cur.line + repeat : cur.line - repeat;\n var first = cm.firstLine();\n var last = cm.lastLine();\n // Vim cancels linewise motions that start on an edge and move beyond\n // that edge. It does not cancel motions that do not start on an edge.\n if ((line < first && cur.line == first) ||\n (line > last && cur.line == last)) {\n return;\n }\n if (motionArgs.toFirstChar){\n endCh=findFirstNonWhiteSpaceCharacter(cm.getLine(line));\n vim.lastHPos = endCh;\n }\n vim.lastHSPos = cm.charCoords(Pos(line, endCh),'div').left;\n return Pos(line, endCh);\n },\n moveByDisplayLines: function(cm, motionArgs, vim) {\n var cur = cm.getCursor();\n switch (vim.lastMotion) {\n case this.moveByDisplayLines:\n case this.moveByScroll:\n case this.moveByLines:\n case this.moveToColumn:\n case this.moveToEol:\n break;\n default:\n vim.lastHSPos = cm.charCoords(cur,'div').left;\n }\n var repeat = motionArgs.repeat;\n var res=cm.findPosV(cur,(motionArgs.forward ? repeat : -repeat),'line',vim.lastHSPos);\n if (res.hitSide) {\n if (motionArgs.forward) {\n var lastCharCoords = cm.charCoords(res, 'div');\n var goalCoords = { top: lastCharCoords.top + 8, left: vim.lastHSPos };\n var res = cm.coordsChar(goalCoords, 'div');\n } else {\n var resCoords = cm.charCoords(Pos(cm.firstLine(), 0), 'div');\n resCoords.left = vim.lastHSPos;\n res = cm.coordsChar(resCoords, 'div');\n }\n }\n vim.lastHPos = res.ch;\n return res;\n },\n moveByPage: function(cm, motionArgs) {\n // CodeMirror only exposes functions that move the cursor page down, so\n // doing this bad hack to move the cursor and move it back. evalInput\n // will move the cursor to where it should be in the end.\n var curStart = cm.getCursor();\n var repeat = motionArgs.repeat;\n return cm.findPosV(curStart, (motionArgs.forward ? repeat : -repeat), 'page');\n },\n moveByParagraph: function(cm, motionArgs) {\n var line = cm.getCursor().line;\n var repeat = motionArgs.repeat;\n var inc = motionArgs.forward ? 1 : -1;\n for (var i = 0; i < repeat; i++) {\n if ((!motionArgs.forward && line === cm.firstLine() ) ||\n (motionArgs.forward && line == cm.lastLine())) {\n break;\n }\n line += inc;\n while (line !== cm.firstLine() && line != cm.lastLine() && cm.getLine(line)) {\n line += inc;\n }\n }\n return Pos(line, 0);\n },\n moveByScroll: function(cm, motionArgs, vim) {\n var scrollbox = cm.getScrollInfo();\n var curEnd = null;\n var repeat = motionArgs.repeat;\n if (!repeat) {\n repeat = scrollbox.clientHeight / (2 * cm.defaultTextHeight());\n }\n var orig = cm.charCoords(cm.getCursor(), 'local');\n motionArgs.repeat = repeat;\n var curEnd = motions.moveByDisplayLines(cm, motionArgs, vim);\n if (!curEnd) {\n return null;\n }\n var dest = cm.charCoords(curEnd, 'local');\n cm.scrollTo(null, scrollbox.top + dest.top - orig.top);\n return curEnd;\n },\n moveByWords: function(cm, motionArgs) {\n return moveToWord(cm, motionArgs.repeat, !!motionArgs.forward,\n !!motionArgs.wordEnd, !!motionArgs.bigWord);\n },\n moveTillCharacter: function(cm, motionArgs) {\n var repeat = motionArgs.repeat;\n var curEnd = moveToCharacter(cm, repeat, motionArgs.forward,\n motionArgs.selectedCharacter);\n var increment = motionArgs.forward ? -1 : 1;\n recordLastCharacterSearch(increment, motionArgs);\n if (!curEnd) return null;\n curEnd.ch += increment;\n return curEnd;\n },\n moveToCharacter: function(cm, motionArgs) {\n var repeat = motionArgs.repeat;\n recordLastCharacterSearch(0, motionArgs);\n return moveToCharacter(cm, repeat, motionArgs.forward,\n motionArgs.selectedCharacter) || cm.getCursor();\n },\n moveToSymbol: function(cm, motionArgs) {\n var repeat = motionArgs.repeat;\n return findSymbol(cm, repeat, motionArgs.forward,\n motionArgs.selectedCharacter) || cm.getCursor();\n },\n moveToColumn: function(cm, motionArgs, vim) {\n var repeat = motionArgs.repeat;\n // repeat is equivalent to which column we want to move to!\n vim.lastHPos = repeat - 1;\n vim.lastHSPos = cm.charCoords(cm.getCursor(),'div').left;\n return moveToColumn(cm, repeat);\n },\n moveToEol: function(cm, motionArgs, vim) {\n var cur = cm.getCursor();\n vim.lastHPos = Infinity;\n var retval= Pos(cur.line + motionArgs.repeat - 1, Infinity);\n var end=cm.clipPos(retval);\n end.ch--;\n vim.lastHSPos = cm.charCoords(end,'div').left;\n return retval;\n },\n moveToFirstNonWhiteSpaceCharacter: function(cm) {\n // Go to the start of the line where the text begins, or the end for\n // whitespace-only lines\n var cursor = cm.getCursor();\n return Pos(cursor.line,\n findFirstNonWhiteSpaceCharacter(cm.getLine(cursor.line)));\n },\n moveToMatchedSymbol: function(cm) {\n var cursor = cm.getCursor();\n var line = cursor.line;\n var ch = cursor.ch;\n var lineText = cm.getLine(line);\n var symbol;\n do {\n symbol = lineText.charAt(ch++);\n if (symbol && isMatchableSymbol(symbol)) {\n var style = cm.getTokenTypeAt(Pos(line, ch));\n if (style !== \"string\" && style !== \"comment\") {\n break;\n }\n }\n } while (symbol);\n if (symbol) {\n var matched = cm.findMatchingBracket(Pos(line, ch));\n return matched.to;\n } else {\n return cursor;\n }\n },\n moveToStartOfLine: function(cm) {\n var cursor = cm.getCursor();\n return Pos(cursor.line, 0);\n },\n moveToLineOrEdgeOfDocument: function(cm, motionArgs) {\n var lineNum = motionArgs.forward ? cm.lastLine() : cm.firstLine();\n if (motionArgs.repeatIsExplicit) {\n lineNum = motionArgs.repeat - cm.getOption('firstLineNumber');\n }\n return Pos(lineNum,\n findFirstNonWhiteSpaceCharacter(cm.getLine(lineNum)));\n },\n textObjectManipulation: function(cm, motionArgs) {\n // TODO: lots of possible exceptions that can be thrown here. Try da(\n // outside of a () block.\n\n // TODO: adding <> >< to this map doesn't work, presumably because\n // they're operators\n var mirroredPairs = {'(': ')', ')': '(',\n '{': '}', '}': '{',\n '[': ']', ']': '['};\n var selfPaired = {'\\'': true, '\"': true};\n\n var character = motionArgs.selectedCharacter;\n // 'b' refers to '()' block.\n // 'B' refers to '{}' block.\n if (character == 'b') {\n character = '(';\n } else if (character == 'B') {\n character = '{';\n }\n\n // Inclusive is the difference between a and i\n // TODO: Instead of using the additional text object map to perform text\n // object operations, merge the map into the defaultKeyMap and use\n // motionArgs to define behavior. Define separate entries for 'aw',\n // 'iw', 'a[', 'i[', etc.\n var inclusive = !motionArgs.textObjectInner;\n\n var tmp;\n if (mirroredPairs[character]) {\n tmp = selectCompanionObject(cm, character, inclusive);\n } else if (selfPaired[character]) {\n tmp = findBeginningAndEnd(cm, character, inclusive);\n } else if (character === 'W') {\n tmp = expandWordUnderCursor(cm, inclusive, true /** forward */,\n true /** bigWord */);\n } else if (character === 'w') {\n tmp = expandWordUnderCursor(cm, inclusive, true /** forward */,\n false /** bigWord */);\n } else {\n // No text object defined for this, don't move.\n return null;\n }\n\n return [tmp.start, tmp.end];\n },\n\n repeatLastCharacterSearch: function(cm, motionArgs) {\n var lastSearch = vimGlobalState.lastChararacterSearch;\n var repeat = motionArgs.repeat;\n var forward = motionArgs.forward === lastSearch.forward;\n var increment = (lastSearch.increment ? 1 : 0) * (forward ? -1 : 1);\n cm.moveH(-increment, 'char');\n motionArgs.inclusive = forward ? true : false;\n var curEnd = moveToCharacter(cm, repeat, forward, lastSearch.selectedCharacter);\n if (!curEnd) {\n cm.moveH(increment, 'char');\n return cm.getCursor();\n }\n curEnd.ch += increment;\n return curEnd;\n }\n };\n\n var operators = {\n change: function(cm, operatorArgs, _vim, curStart, curEnd) {\n vimGlobalState.registerController.pushText(\n operatorArgs.registerName, 'change', cm.getRange(curStart, curEnd),\n operatorArgs.linewise);\n if (operatorArgs.linewise) {\n // Push the next line back down, if there is a next line.\n var replacement = curEnd.line > cm.lastLine() ? '' : '\\n';\n cm.replaceRange(replacement, curStart, curEnd);\n cm.indentLine(curStart.line, 'smart');\n // null ch so setCursor moves to end of line.\n curStart.ch = null;\n } else {\n // Exclude trailing whitespace if the range is not all whitespace.\n var text = cm.getRange(curStart, curEnd);\n if (!isWhiteSpaceString(text)) {\n var match = (/\\s+$/).exec(text);\n if (match) {\n curEnd = offsetCursor(curEnd, 0, - match[0].length);\n }\n }\n cm.replaceRange('', curStart, curEnd);\n }\n actions.enterInsertMode(cm, {}, cm.state.vim);\n cm.setCursor(curStart);\n },\n // delete is a javascript keyword.\n 'delete': function(cm, operatorArgs, _vim, curStart, curEnd) {\n // If the ending line is past the last line, inclusive, instead of\n // including the trailing \\n, include the \\n before the starting line\n if (operatorArgs.linewise &&\n curEnd.line > cm.lastLine() && curStart.line > cm.firstLine()) {\n curStart.line--;\n curStart.ch = lineLength(cm, curStart.line);\n }\n vimGlobalState.registerController.pushText(\n operatorArgs.registerName, 'delete', cm.getRange(curStart, curEnd),\n operatorArgs.linewise);\n cm.replaceRange('', curStart, curEnd);\n if (operatorArgs.linewise) {\n cm.setCursor(motions.moveToFirstNonWhiteSpaceCharacter(cm));\n } else {\n cm.setCursor(curStart);\n }\n },\n indent: function(cm, operatorArgs, vim, curStart, curEnd) {\n var startLine = curStart.line;\n var endLine = curEnd.line;\n // In visual mode, n> shifts the selection right n times, instead of\n // shifting n lines right once.\n var repeat = (vim.visualMode) ? operatorArgs.repeat : 1;\n if (operatorArgs.linewise) {\n // The only way to delete a newline is to delete until the start of\n // the next line, so in linewise mode evalInput will include the next\n // line. We don't want this in indent, so we go back a line.\n endLine--;\n }\n for (var i = startLine; i <= endLine; i++) {\n for (var j = 0; j < repeat; j++) {\n cm.indentLine(i, operatorArgs.indentRight);\n }\n }\n cm.setCursor(curStart);\n cm.setCursor(motions.moveToFirstNonWhiteSpaceCharacter(cm));\n },\n swapcase: function(cm, operatorArgs, _vim, curStart, curEnd, curOriginal) {\n var toSwap = cm.getRange(curStart, curEnd);\n var swapped = '';\n for (var i = 0; i < toSwap.length; i++) {\n var character = toSwap.charAt(i);\n swapped += isUpperCase(character) ? character.toLowerCase() :\n character.toUpperCase();\n }\n cm.replaceRange(swapped, curStart, curEnd);\n if (!operatorArgs.shouldMoveCursor) {\n cm.setCursor(curOriginal);\n }\n },\n yank: function(cm, operatorArgs, _vim, curStart, curEnd, curOriginal) {\n vimGlobalState.registerController.pushText(\n operatorArgs.registerName, 'yank',\n cm.getRange(curStart, curEnd), operatorArgs.linewise);\n cm.setCursor(curOriginal);\n }\n };\n\n var actions = {\n jumpListWalk: function(cm, actionArgs, vim) {\n if (vim.visualMode) {\n return;\n }\n var repeat = actionArgs.repeat;\n var forward = actionArgs.forward;\n var jumpList = vimGlobalState.jumpList;\n\n var mark = jumpList.move(cm, forward ? repeat : -repeat);\n var markPos = mark ? mark.find() : undefined;\n markPos = markPos ? markPos : cm.getCursor();\n cm.setCursor(markPos);\n },\n scroll: function(cm, actionArgs, vim) {\n if (vim.visualMode) {\n return;\n }\n var repeat = actionArgs.repeat || 1;\n var lineHeight = cm.defaultTextHeight();\n var top = cm.getScrollInfo().top;\n var delta = lineHeight * repeat;\n var newPos = actionArgs.forward ? top + delta : top - delta;\n var cursor = copyCursor(cm.getCursor());\n var cursorCoords = cm.charCoords(cursor, 'local');\n if (actionArgs.forward) {\n if (newPos > cursorCoords.top) {\n cursor.line += (newPos - cursorCoords.top) / lineHeight;\n cursor.line = Math.ceil(cursor.line);\n cm.setCursor(cursor);\n cursorCoords = cm.charCoords(cursor, 'local');\n cm.scrollTo(null, cursorCoords.top);\n } else {\n // Cursor stays within bounds. Just reposition the scroll window.\n cm.scrollTo(null, newPos);\n }\n } else {\n var newBottom = newPos + cm.getScrollInfo().clientHeight;\n if (newBottom < cursorCoords.bottom) {\n cursor.line -= (cursorCoords.bottom - newBottom) / lineHeight;\n cursor.line = Math.floor(cursor.line);\n cm.setCursor(cursor);\n cursorCoords = cm.charCoords(cursor, 'local');\n cm.scrollTo(\n null, cursorCoords.bottom - cm.getScrollInfo().clientHeight);\n } else {\n // Cursor stays within bounds. Just reposition the scroll window.\n cm.scrollTo(null, newPos);\n }\n }\n },\n scrollToCursor: function(cm, actionArgs) {\n var lineNum = cm.getCursor().line;\n var charCoords = cm.charCoords(Pos(lineNum, 0), 'local');\n var height = cm.getScrollInfo().clientHeight;\n var y = charCoords.top;\n var lineHeight = charCoords.bottom - y;\n switch (actionArgs.position) {\n case 'center': y = y - (height / 2) + lineHeight;\n break;\n case 'bottom': y = y - height + lineHeight*1.4;\n break;\n case 'top': y = y + lineHeight*0.4;\n break;\n }\n cm.scrollTo(null, y);\n },\n replayMacro: function(cm, actionArgs, vim) {\n var registerName = actionArgs.selectedCharacter;\n var repeat = actionArgs.repeat;\n var macroModeState = vimGlobalState.macroModeState;\n if (registerName == '@') {\n registerName = macroModeState.latestRegister;\n }\n while(repeat--){\n executeMacroRegister(cm, vim, macroModeState, registerName);\n }\n },\n enterMacroRecordMode: function(cm, actionArgs) {\n var macroModeState = vimGlobalState.macroModeState;\n var registerName = actionArgs.selectedCharacter;\n macroModeState.enterMacroRecordMode(cm, registerName);\n },\n enterInsertMode: function(cm, actionArgs, vim) {\n if (cm.getOption('readOnly')) { return; }\n vim.insertMode = true;\n vim.insertModeRepeat = actionArgs && actionArgs.repeat || 1;\n var insertAt = (actionArgs) ? actionArgs.insertAt : null;\n if (insertAt == 'eol') {\n var cursor = cm.getCursor();\n cursor = Pos(cursor.line, lineLength(cm, cursor.line));\n cm.setCursor(cursor);\n } else if (insertAt == 'charAfter') {\n cm.setCursor(offsetCursor(cm.getCursor(), 0, 1));\n } else if (insertAt == 'firstNonBlank') {\n cm.setCursor(motions.moveToFirstNonWhiteSpaceCharacter(cm));\n }\n cm.setOption('keyMap', 'vim-insert');\n cm.setOption('disableInput', false);\n if (actionArgs && actionArgs.replace) {\n // Handle Replace-mode as a special case of insert mode.\n cm.toggleOverwrite(true);\n cm.setOption('keyMap', 'vim-replace');\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"replace\"});\n } else {\n cm.setOption('keyMap', 'vim-insert');\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"insert\"});\n }\n if (!vimGlobalState.macroModeState.isPlaying) {\n // Only record if not replaying.\n cm.on('change', onChange);\n CodeMirror.on(cm.getInputField(), 'keydown', onKeyEventTargetKeyDown);\n }\n },\n toggleVisualMode: function(cm, actionArgs, vim) {\n var repeat = actionArgs.repeat;\n var curStart = cm.getCursor();\n var curEnd;\n // TODO: The repeat should actually select number of characters/lines\n // equal to the repeat times the size of the previous visual\n // operation.\n if (!vim.visualMode) {\n cm.on('mousedown', exitVisualMode);\n vim.visualMode = true;\n vim.visualLine = !!actionArgs.linewise;\n if (vim.visualLine) {\n curStart.ch = 0;\n curEnd = clipCursorToContent(\n cm, Pos(curStart.line + repeat - 1, lineLength(cm, curStart.line)),\n true /** includeLineBreak */);\n } else {\n curEnd = clipCursorToContent(\n cm, Pos(curStart.line, curStart.ch + repeat),\n true /** includeLineBreak */);\n }\n // Make the initial selection.\n if (!actionArgs.repeatIsExplicit && !vim.visualLine) {\n // This is a strange case. Here the implicit repeat is 1. The\n // following commands lets the cursor hover over the 1 character\n // selection.\n cm.setCursor(curEnd);\n cm.setSelection(curEnd, curStart);\n } else {\n cm.setSelection(curStart, curEnd);\n }\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"visual\", subMode: vim.visualLine ? \"linewise\" : \"\"});\n } else {\n curStart = cm.getCursor('anchor');\n curEnd = cm.getCursor('head');\n if (!vim.visualLine && actionArgs.linewise) {\n // Shift-V pressed in characterwise visual mode. Switch to linewise\n // visual mode instead of exiting visual mode.\n vim.visualLine = true;\n curStart.ch = cursorIsBefore(curStart, curEnd) ? 0 :\n lineLength(cm, curStart.line);\n curEnd.ch = cursorIsBefore(curStart, curEnd) ?\n lineLength(cm, curEnd.line) : 0;\n cm.setSelection(curStart, curEnd);\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"visual\", subMode: \"linewise\"});\n } else if (vim.visualLine && !actionArgs.linewise) {\n // v pressed in linewise visual mode. Switch to characterwise visual\n // mode instead of exiting visual mode.\n vim.visualLine = false;\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"visual\"});\n } else {\n exitVisualMode(cm);\n }\n }\n updateMark(cm, vim, '<', cursorIsBefore(curStart, curEnd) ? curStart\n : curEnd);\n updateMark(cm, vim, '>', cursorIsBefore(curStart, curEnd) ? curEnd\n : curStart);\n },\n reselectLastSelection: function(cm, _actionArgs, vim) {\n if (vim.lastSelection) {\n var lastSelection = vim.lastSelection;\n cm.setSelection(lastSelection.curStart, lastSelection.curEnd);\n if (lastSelection.visualLine) {\n vim.visualMode = true;\n vim.visualLine = true;\n }\n else {\n vim.visualMode = true;\n vim.visualLine = false;\n }\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"visual\", subMode: vim.visualLine ? \"linewise\" : \"\"});\n }\n },\n joinLines: function(cm, actionArgs, vim) {\n var curStart, curEnd;\n if (vim.visualMode) {\n curStart = cm.getCursor('anchor');\n curEnd = cm.getCursor('head');\n curEnd.ch = lineLength(cm, curEnd.line) - 1;\n } else {\n // Repeat is the number of lines to join. Minimum 2 lines.\n var repeat = Math.max(actionArgs.repeat, 2);\n curStart = cm.getCursor();\n curEnd = clipCursorToContent(cm, Pos(curStart.line + repeat - 1,\n Infinity));\n }\n var finalCh = 0;\n cm.operation(function() {\n for (var i = curStart.line; i < curEnd.line; i++) {\n finalCh = lineLength(cm, curStart.line);\n var tmp = Pos(curStart.line + 1,\n lineLength(cm, curStart.line + 1));\n var text = cm.getRange(curStart, tmp);\n text = text.replace(/\\n\\s*/g, ' ');\n cm.replaceRange(text, curStart, tmp);\n }\n var curFinalPos = Pos(curStart.line, finalCh);\n cm.setCursor(curFinalPos);\n });\n },\n newLineAndEnterInsertMode: function(cm, actionArgs, vim) {\n vim.insertMode = true;\n var insertAt = copyCursor(cm.getCursor());\n if (insertAt.line === cm.firstLine() && !actionArgs.after) {\n // Special case for inserting newline before start of document.\n cm.replaceRange('\\n', Pos(cm.firstLine(), 0));\n cm.setCursor(cm.firstLine(), 0);\n } else {\n insertAt.line = (actionArgs.after) ? insertAt.line :\n insertAt.line - 1;\n insertAt.ch = lineLength(cm, insertAt.line);\n cm.setCursor(insertAt);\n var newlineFn = CodeMirror.commands.newlineAndIndentContinueComment ||\n CodeMirror.commands.newlineAndIndent;\n newlineFn(cm);\n }\n this.enterInsertMode(cm, { repeat: actionArgs.repeat }, vim);\n },\n paste: function(cm, actionArgs) {\n var cur = copyCursor(cm.getCursor());\n var register = vimGlobalState.registerController.getRegister(\n actionArgs.registerName);\n var text = register.toString();\n if (!text) {\n return;\n }\n if (actionArgs.matchIndent) {\n // length that considers tabs and cm.options.tabSize\n var whitespaceLength = function(str) {\n var tabs = (str.split(\"\\t\").length - 1);\n var spaces = (str.split(\" \").length - 1);\n return tabs * cm.options.tabSize + spaces * 1;\n };\n var currentLine = cm.getLine(cm.getCursor().line);\n var indent = whitespaceLength(currentLine.match(/^\\s*/)[0]);\n // chomp last newline b/c don't want it to match /^\\s*/gm\n var chompedText = text.replace(/\\n$/, '');\n var wasChomped = text !== chompedText;\n var firstIndent = whitespaceLength(text.match(/^\\s*/)[0]);\n var text = chompedText.replace(/^\\s*/gm, function(wspace) {\n var newIndent = indent + (whitespaceLength(wspace) - firstIndent);\n if (newIndent < 0) {\n return \"\";\n }\n else if (cm.options.indentWithTabs) {\n var quotient = Math.floor(newIndent / cm.options.tabSize);\n return Array(quotient + 1).join('\\t');\n }\n else {\n return Array(newIndent + 1).join(' ');\n }\n });\n text += wasChomped ? \"\\n\" : \"\";\n }\n if (actionArgs.repeat > 1) {\n var text = Array(actionArgs.repeat + 1).join(text);\n }\n var linewise = register.linewise;\n if (linewise) {\n if (actionArgs.after) {\n // Move the newline at the end to the start instead, and paste just\n // before the newline character of the line we are on right now.\n text = '\\n' + text.slice(0, text.length - 1);\n cur.ch = lineLength(cm, cur.line);\n } else {\n cur.ch = 0;\n }\n } else {\n cur.ch += actionArgs.after ? 1 : 0;\n }\n cm.replaceRange(text, cur);\n // Now fine tune the cursor to where we want it.\n var curPosFinal;\n var idx;\n if (linewise && actionArgs.after) {\n curPosFinal = Pos(\n cur.line + 1,\n findFirstNonWhiteSpaceCharacter(cm.getLine(cur.line + 1)));\n } else if (linewise && !actionArgs.after) {\n curPosFinal = Pos(\n cur.line,\n findFirstNonWhiteSpaceCharacter(cm.getLine(cur.line)));\n } else if (!linewise && actionArgs.after) {\n idx = cm.indexFromPos(cur);\n curPosFinal = cm.posFromIndex(idx + text.length - 1);\n } else {\n idx = cm.indexFromPos(cur);\n curPosFinal = cm.posFromIndex(idx + text.length);\n }\n cm.setCursor(curPosFinal);\n },\n undo: function(cm, actionArgs) {\n cm.operation(function() {\n repeatFn(cm, CodeMirror.commands.undo, actionArgs.repeat)();\n cm.setCursor(cm.getCursor('anchor'));\n });\n },\n redo: function(cm, actionArgs) {\n repeatFn(cm, CodeMirror.commands.redo, actionArgs.repeat)();\n },\n setRegister: function(_cm, actionArgs, vim) {\n vim.inputState.registerName = actionArgs.selectedCharacter;\n },\n setMark: function(cm, actionArgs, vim) {\n var markName = actionArgs.selectedCharacter;\n updateMark(cm, vim, markName, cm.getCursor());\n },\n replace: function(cm, actionArgs, vim) {\n var replaceWith = actionArgs.selectedCharacter;\n var curStart = cm.getCursor();\n var replaceTo;\n var curEnd;\n if (vim.visualMode){\n curStart=cm.getCursor('start');\n curEnd=cm.getCursor('end');\n // workaround to catch the character under the cursor\n // existing workaround doesn't cover actions\n curEnd=cm.clipPos(Pos(curEnd.line, curEnd.ch+1));\n }else{\n var line = cm.getLine(curStart.line);\n replaceTo = curStart.ch + actionArgs.repeat;\n if (replaceTo > line.length) {\n replaceTo=line.length;\n }\n curEnd = Pos(curStart.line, replaceTo);\n }\n if (replaceWith=='\\n'){\n if (!vim.visualMode) cm.replaceRange('', curStart, curEnd);\n // special case, where vim help says to replace by just one line-break\n (CodeMirror.commands.newlineAndIndentContinueComment || CodeMirror.commands.newlineAndIndent)(cm);\n }else {\n var replaceWithStr=cm.getRange(curStart, curEnd);\n //replace all characters in range by selected, but keep linebreaks\n replaceWithStr=replaceWithStr.replace(/[^\\n]/g,replaceWith);\n cm.replaceRange(replaceWithStr, curStart, curEnd);\n if (vim.visualMode){\n cm.setCursor(curStart);\n exitVisualMode(cm);\n }else{\n cm.setCursor(offsetCursor(curEnd, 0, -1));\n }\n }\n },\n incrementNumberToken: function(cm, actionArgs) {\n var cur = cm.getCursor();\n var lineStr = cm.getLine(cur.line);\n var re = /-?\\d+/g;\n var match;\n var start;\n var end;\n var numberStr;\n var token;\n while ((match = re.exec(lineStr)) !== null) {\n token = match[0];\n start = match.index;\n end = start + token.length;\n if (cur.ch < end)break;\n }\n if (!actionArgs.backtrack && (end <= cur.ch))return;\n if (token) {\n var increment = actionArgs.increase ? 1 : -1;\n var number = parseInt(token) + (increment * actionArgs.repeat);\n var from = Pos(cur.line, start);\n var to = Pos(cur.line, end);\n numberStr = number.toString();\n cm.replaceRange(numberStr, from, to);\n } else {\n return;\n }\n cm.setCursor(Pos(cur.line, start + numberStr.length - 1));\n },\n repeatLastEdit: function(cm, actionArgs, vim) {\n var lastEditInputState = vim.lastEditInputState;\n if (!lastEditInputState) { return; }\n var repeat = actionArgs.repeat;\n if (repeat && actionArgs.repeatIsExplicit) {\n vim.lastEditInputState.repeatOverride = repeat;\n } else {\n repeat = vim.lastEditInputState.repeatOverride || repeat;\n }\n repeatLastEdit(cm, vim, repeat, false /** repeatForInsert */);\n },\n changeCase: function(cm, actionArgs, vim) {\n var selectedAreaRange = getSelectedAreaRange(cm, vim);\n var selectionStart = selectedAreaRange[0];\n var selectionEnd = selectedAreaRange[1];\n var toLower = actionArgs.toLower;\n if (cursorIsBefore(selectionEnd, selectionStart)) {\n var tmp = selectionStart;\n selectionStart = selectionEnd;\n selectionEnd = tmp;\n } else {\n selectionEnd = cm.clipPos(Pos(selectionEnd.line, selectionEnd.ch+1));\n }\n var text = cm.getRange(selectionStart, selectionEnd);\n cm.replaceRange(toLower ? text.toLowerCase() : text.toUpperCase(), selectionStart, selectionEnd);\n cm.setCursor(selectionStart);\n }\n };\n\n /*\n * Below are miscellaneous utility functions used by vim.js\n */\n\n /**\n * Clips cursor to ensure that line is within the buffer's range\n * If includeLineBreak is true, then allow cur.ch == lineLength.\n */\n function clipCursorToContent(cm, cur, includeLineBreak) {\n var line = Math.min(Math.max(cm.firstLine(), cur.line), cm.lastLine() );\n var maxCh = lineLength(cm, line) - 1;\n maxCh = (includeLineBreak) ? maxCh + 1 : maxCh;\n var ch = Math.min(Math.max(0, cur.ch), maxCh);\n return Pos(line, ch);\n }\n function copyArgs(args) {\n var ret = {};\n for (var prop in args) {\n if (args.hasOwnProperty(prop)) {\n ret[prop] = args[prop];\n }\n }\n return ret;\n }\n function offsetCursor(cur, offsetLine, offsetCh) {\n return Pos(cur.line + offsetLine, cur.ch + offsetCh);\n }\n function matchKeysPartial(pressed, mapped) {\n for (var i = 0; i < pressed.length; i++) {\n // 'character' means any character. For mark, register commads, etc.\n if (pressed[i] != mapped[i] && mapped[i] != 'character') {\n return false;\n }\n }\n return true;\n }\n function repeatFn(cm, fn, repeat) {\n return function() {\n for (var i = 0; i < repeat; i++) {\n fn(cm);\n }\n };\n }\n function copyCursor(cur) {\n return Pos(cur.line, cur.ch);\n }\n function cursorEqual(cur1, cur2) {\n return cur1.ch == cur2.ch && cur1.line == cur2.line;\n }\n function cursorIsBefore(cur1, cur2) {\n if (cur1.line < cur2.line) {\n return true;\n }\n if (cur1.line == cur2.line && cur1.ch < cur2.ch) {\n return true;\n }\n return false;\n }\n function cusrorIsBetween(cur1, cur2, cur3) {\n // returns true if cur2 is between cur1 and cur3.\n var cur1before2 = cursorIsBefore(cur1, cur2);\n var cur2before3 = cursorIsBefore(cur2, cur3);\n return cur1before2 && cur2before3;\n }\n function lineLength(cm, lineNum) {\n return cm.getLine(lineNum).length;\n }\n function reverse(s){\n return s.split('').reverse().join('');\n }\n function trim(s) {\n if (s.trim) {\n return s.trim();\n }\n return s.replace(/^\\s+|\\s+$/g, '');\n }\n function escapeRegex(s) {\n return s.replace(/([.?*+$\\[\\]\\/\\\\(){}|\\-])/g, '\\\\$1');\n }\n function getSelectedAreaRange(cm, vim) {\n var selectionStart = cm.getCursor('anchor');\n var selectionEnd = cm.getCursor('head');\n var lastSelection = vim.lastSelection;\n if (!vim.visualMode) {\n var line = lastSelection.curEnd.line - lastSelection.curStart.line;\n var ch = line ? lastSelection.curEnd.ch : lastSelection.curEnd.ch - lastSelection.curStart.ch;\n selectionEnd = {line: selectionEnd.line + line, ch: line ? selectionEnd.ch : ch + selectionEnd.ch};\n if (lastSelection.visualLine) {\n return [{line: selectionStart.line, ch: 0}, {line: selectionEnd.line, ch: lineLength(cm, selectionEnd.line)}];\n }\n } else {\n exitVisualMode(cm);\n }\n return [selectionStart, selectionEnd];\n }\n\n function exitVisualMode(cm) {\n cm.off('mousedown', exitVisualMode);\n var vim = cm.state.vim;\n // can't use selection state here because yank has already reset its cursor\n vim.lastSelection = {'curStart': vim.marks['<'].find(),\n 'curEnd': vim.marks['>'].find(), 'visualMode': vim.visualMode,\n 'visualLine': vim.visualLine};\n vim.visualMode = false;\n vim.visualLine = false;\n var selectionStart = cm.getCursor('anchor');\n var selectionEnd = cm.getCursor('head');\n if (!cursorEqual(selectionStart, selectionEnd)) {\n // Clear the selection and set the cursor only if the selection has not\n // already been cleared. Otherwise we risk moving the cursor somewhere\n // it's not supposed to be.\n cm.setCursor(clipCursorToContent(cm, selectionEnd));\n }\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"normal\"});\n }\n\n // Remove any trailing newlines from the selection. For\n // example, with the caret at the start of the last word on the line,\n // 'dw' should word, but not the newline, while 'w' should advance the\n // caret to the first character of the next line.\n function clipToLine(cm, curStart, curEnd) {\n var selection = cm.getRange(curStart, curEnd);\n // Only clip if the selection ends with trailing newline + whitespace\n if (/\\n\\s*$/.test(selection)) {\n var lines = selection.split('\\n');\n // We know this is all whitepsace.\n lines.pop();\n\n // Cases:\n // 1. Last word is an empty line - do not clip the trailing '\\n'\n // 2. Last word is not an empty line - clip the trailing '\\n'\n var line;\n // Find the line containing the last word, and clip all whitespace up\n // to it.\n for (var line = lines.pop(); lines.length > 0 && line && isWhiteSpaceString(line); line = lines.pop()) {\n curEnd.line--;\n curEnd.ch = 0;\n }\n // If the last word is not an empty line, clip an additional newline\n if (line) {\n curEnd.line--;\n curEnd.ch = lineLength(cm, curEnd.line);\n } else {\n curEnd.ch = 0;\n }\n }\n }\n\n // Expand the selection to line ends.\n function expandSelectionToLine(_cm, curStart, curEnd) {\n curStart.ch = 0;\n curEnd.ch = 0;\n curEnd.line++;\n }\n\n function findFirstNonWhiteSpaceCharacter(text) {\n if (!text) {\n return 0;\n }\n var firstNonWS = text.search(/\\S/);\n return firstNonWS == -1 ? text.length : firstNonWS;\n }\n\n function expandWordUnderCursor(cm, inclusive, _forward, bigWord, noSymbol) {\n var cur = cm.getCursor();\n var line = cm.getLine(cur.line);\n var idx = cur.ch;\n\n // Seek to first word or non-whitespace character, depending on if\n // noSymbol is true.\n var textAfterIdx = line.substring(idx);\n var firstMatchedChar;\n if (noSymbol) {\n firstMatchedChar = textAfterIdx.search(/\\w/);\n } else {\n firstMatchedChar = textAfterIdx.search(/\\S/);\n }\n if (firstMatchedChar == -1) {\n return null;\n }\n idx += firstMatchedChar;\n textAfterIdx = line.substring(idx);\n var textBeforeIdx = line.substring(0, idx);\n\n var matchRegex;\n // Greedy matchers for the \"word\" we are trying to expand.\n if (bigWord) {\n matchRegex = /^\\S+/;\n } else {\n if ((/\\w/).test(line.charAt(idx))) {\n matchRegex = /^\\w+/;\n } else {\n matchRegex = /^[^\\w\\s]+/;\n }\n }\n\n var wordAfterRegex = matchRegex.exec(textAfterIdx);\n var wordStart = idx;\n var wordEnd = idx + wordAfterRegex[0].length;\n // TODO: Find a better way to do this. It will be slow on very long lines.\n var revTextBeforeIdx = reverse(textBeforeIdx);\n var wordBeforeRegex = matchRegex.exec(revTextBeforeIdx);\n if (wordBeforeRegex) {\n wordStart -= wordBeforeRegex[0].length;\n }\n\n if (inclusive) {\n // If present, trim all whitespace after word.\n // Otherwise, trim all whitespace before word.\n var textAfterWordEnd = line.substring(wordEnd);\n var whitespacesAfterWord = textAfterWordEnd.match(/^\\s*/)[0].length;\n if (whitespacesAfterWord > 0) {\n wordEnd += whitespacesAfterWord;\n } else {\n var revTrim = revTextBeforeIdx.length - wordStart;\n var textBeforeWordStart = revTextBeforeIdx.substring(revTrim);\n var whitespacesBeforeWord = textBeforeWordStart.match(/^\\s*/)[0].length;\n wordStart -= whitespacesBeforeWord;\n }\n }\n\n return { start: Pos(cur.line, wordStart),\n end: Pos(cur.line, wordEnd) };\n }\n\n function recordJumpPosition(cm, oldCur, newCur) {\n if (!cursorEqual(oldCur, newCur)) {\n vimGlobalState.jumpList.add(cm, oldCur, newCur);\n }\n }\n\n function recordLastCharacterSearch(increment, args) {\n vimGlobalState.lastChararacterSearch.increment = increment;\n vimGlobalState.lastChararacterSearch.forward = args.forward;\n vimGlobalState.lastChararacterSearch.selectedCharacter = args.selectedCharacter;\n }\n\n var symbolToMode = {\n '(': 'bracket', ')': 'bracket', '{': 'bracket', '}': 'bracket',\n '[': 'section', ']': 'section',\n '*': 'comment', '/': 'comment',\n 'm': 'method', 'M': 'method',\n '#': 'preprocess'\n };\n var findSymbolModes = {\n bracket: {\n isComplete: function(state) {\n if (state.nextCh === state.symb) {\n state.depth++;\n if (state.depth >= 1)return true;\n } else if (state.nextCh === state.reverseSymb) {\n state.depth--;\n }\n return false;\n }\n },\n section: {\n init: function(state) {\n state.curMoveThrough = true;\n state.symb = (state.forward ? ']' : '[') === state.symb ? '{' : '}';\n },\n isComplete: function(state) {\n return state.index === 0 && state.nextCh === state.symb;\n }\n },\n comment: {\n isComplete: function(state) {\n var found = state.lastCh === '*' && state.nextCh === '/';\n state.lastCh = state.nextCh;\n return found;\n }\n },\n // TODO: The original Vim implementation only operates on level 1 and 2.\n // The current implementation doesn't check for code block level and\n // therefore it operates on any levels.\n method: {\n init: function(state) {\n state.symb = (state.symb === 'm' ? '{' : '}');\n state.reverseSymb = state.symb === '{' ? '}' : '{';\n },\n isComplete: function(state) {\n if (state.nextCh === state.symb)return true;\n return false;\n }\n },\n preprocess: {\n init: function(state) {\n state.index = 0;\n },\n isComplete: function(state) {\n if (state.nextCh === '#') {\n var token = state.lineText.match(/#(\\w+)/)[1];\n if (token === 'endif') {\n if (state.forward && state.depth === 0) {\n return true;\n }\n state.depth++;\n } else if (token === 'if') {\n if (!state.forward && state.depth === 0) {\n return true;\n }\n state.depth--;\n }\n if (token === 'else' && state.depth === 0)return true;\n }\n return false;\n }\n }\n };\n function findSymbol(cm, repeat, forward, symb) {\n var cur = copyCursor(cm.getCursor());\n var increment = forward ? 1 : -1;\n var endLine = forward ? cm.lineCount() : -1;\n var curCh = cur.ch;\n var line = cur.line;\n var lineText = cm.getLine(line);\n var state = {\n lineText: lineText,\n nextCh: lineText.charAt(curCh),\n lastCh: null,\n index: curCh,\n symb: symb,\n reverseSymb: (forward ? { ')': '(', '}': '{' } : { '(': ')', '{': '}' })[symb],\n forward: forward,\n depth: 0,\n curMoveThrough: false\n };\n var mode = symbolToMode[symb];\n if (!mode)return cur;\n var init = findSymbolModes[mode].init;\n var isComplete = findSymbolModes[mode].isComplete;\n if (init) { init(state); }\n while (line !== endLine && repeat) {\n state.index += increment;\n state.nextCh = state.lineText.charAt(state.index);\n if (!state.nextCh) {\n line += increment;\n state.lineText = cm.getLine(line) || '';\n if (increment > 0) {\n state.index = 0;\n } else {\n var lineLen = state.lineText.length;\n state.index = (lineLen > 0) ? (lineLen-1) : 0;\n }\n state.nextCh = state.lineText.charAt(state.index);\n }\n if (isComplete(state)) {\n cur.line = line;\n cur.ch = state.index;\n repeat--;\n }\n }\n if (state.nextCh || state.curMoveThrough) {\n return Pos(line, state.index);\n }\n return cur;\n }\n\n /*\n * Returns the boundaries of the next word. If the cursor in the middle of\n * the word, then returns the boundaries of the current word, starting at\n * the cursor. If the cursor is at the start/end of a word, and we are going\n * forward/backward, respectively, find the boundaries of the next word.\n *\n * @param {CodeMirror} cm CodeMirror object.\n * @param {Cursor} cur The cursor position.\n * @param {boolean} forward True to search forward. False to search\n * backward.\n * @param {boolean} bigWord True if punctuation count as part of the word.\n * False if only [a-zA-Z0-9] characters count as part of the word.\n * @param {boolean} emptyLineIsWord True if empty lines should be treated\n * as words.\n * @return {Object{from:number, to:number, line: number}} The boundaries of\n * the word, or null if there are no more words.\n */\n function findWord(cm, cur, forward, bigWord, emptyLineIsWord) {\n var lineNum = cur.line;\n var pos = cur.ch;\n var line = cm.getLine(lineNum);\n var dir = forward ? 1 : -1;\n var regexps = bigWord ? bigWordRegexp : wordRegexp;\n\n if (emptyLineIsWord && line == '') {\n lineNum += dir;\n line = cm.getLine(lineNum);\n if (!isLine(cm, lineNum)) {\n return null;\n }\n pos = (forward) ? 0 : line.length;\n }\n\n while (true) {\n if (emptyLineIsWord && line == '') {\n return { from: 0, to: 0, line: lineNum };\n }\n var stop = (dir > 0) ? line.length : -1;\n var wordStart = stop, wordEnd = stop;\n // Find bounds of next word.\n while (pos != stop) {\n var foundWord = false;\n for (var i = 0; i < regexps.length && !foundWord; ++i) {\n if (regexps[i].test(line.charAt(pos))) {\n wordStart = pos;\n // Advance to end of word.\n while (pos != stop && regexps[i].test(line.charAt(pos))) {\n pos += dir;\n }\n wordEnd = pos;\n foundWord = wordStart != wordEnd;\n if (wordStart == cur.ch && lineNum == cur.line &&\n wordEnd == wordStart + dir) {\n // We started at the end of a word. Find the next one.\n continue;\n } else {\n return {\n from: Math.min(wordStart, wordEnd + 1),\n to: Math.max(wordStart, wordEnd),\n line: lineNum };\n }\n }\n }\n if (!foundWord) {\n pos += dir;\n }\n }\n // Advance to next/prev line.\n lineNum += dir;\n if (!isLine(cm, lineNum)) {\n return null;\n }\n line = cm.getLine(lineNum);\n pos = (dir > 0) ? 0 : line.length;\n }\n // Should never get here.\n throw new Error('The impossible happened.');\n }\n\n /**\n * @param {CodeMirror} cm CodeMirror object.\n * @param {int} repeat Number of words to move past.\n * @param {boolean} forward True to search forward. False to search\n * backward.\n * @param {boolean} wordEnd True to move to end of word. False to move to\n * beginning of word.\n * @param {boolean} bigWord True if punctuation count as part of the word.\n * False if only alphabet characters count as part of the word.\n * @return {Cursor} The position the cursor should move to.\n */\n function moveToWord(cm, repeat, forward, wordEnd, bigWord) {\n var cur = cm.getCursor();\n var curStart = copyCursor(cur);\n var words = [];\n if (forward && !wordEnd || !forward && wordEnd) {\n repeat++;\n }\n // For 'e', empty lines are not considered words, go figure.\n var emptyLineIsWord = !(forward && wordEnd);\n for (var i = 0; i < repeat; i++) {\n var word = findWord(cm, cur, forward, bigWord, emptyLineIsWord);\n if (!word) {\n var eodCh = lineLength(cm, cm.lastLine());\n words.push(forward\n ? {line: cm.lastLine(), from: eodCh, to: eodCh}\n : {line: 0, from: 0, to: 0});\n break;\n }\n words.push(word);\n cur = Pos(word.line, forward ? (word.to - 1) : word.from);\n }\n var shortCircuit = words.length != repeat;\n var firstWord = words[0];\n var lastWord = words.pop();\n if (forward && !wordEnd) {\n // w\n if (!shortCircuit && (firstWord.from != curStart.ch || firstWord.line != curStart.line)) {\n // We did not start in the middle of a word. Discard the extra word at the end.\n lastWord = words.pop();\n }\n return Pos(lastWord.line, lastWord.from);\n } else if (forward && wordEnd) {\n return Pos(lastWord.line, lastWord.to - 1);\n } else if (!forward && wordEnd) {\n // ge\n if (!shortCircuit && (firstWord.to != curStart.ch || firstWord.line != curStart.line)) {\n // We did not start in the middle of a word. Discard the extra word at the end.\n lastWord = words.pop();\n }\n return Pos(lastWord.line, lastWord.to);\n } else {\n // b\n return Pos(lastWord.line, lastWord.from);\n }\n }\n\n function moveToCharacter(cm, repeat, forward, character) {\n var cur = cm.getCursor();\n var start = cur.ch;\n var idx;\n for (var i = 0; i < repeat; i ++) {\n var line = cm.getLine(cur.line);\n idx = charIdxInLine(start, line, character, forward, true);\n if (idx == -1) {\n return null;\n }\n start = idx;\n }\n return Pos(cm.getCursor().line, idx);\n }\n\n function moveToColumn(cm, repeat) {\n // repeat is always >= 1, so repeat - 1 always corresponds\n // to the column we want to go to.\n var line = cm.getCursor().line;\n return clipCursorToContent(cm, Pos(line, repeat - 1));\n }\n\n function updateMark(cm, vim, markName, pos) {\n if (!inArray(markName, validMarks)) {\n return;\n }\n if (vim.marks[markName]) {\n vim.marks[markName].clear();\n }\n vim.marks[markName] = cm.setBookmark(pos);\n }\n\n function charIdxInLine(start, line, character, forward, includeChar) {\n // Search for char in line.\n // motion_options: {forward, includeChar}\n // If includeChar = true, include it too.\n // If forward = true, search forward, else search backwards.\n // If char is not found on this line, do nothing\n var idx;\n if (forward) {\n idx = line.indexOf(character, start + 1);\n if (idx != -1 && !includeChar) {\n idx -= 1;\n }\n } else {\n idx = line.lastIndexOf(character, start - 1);\n if (idx != -1 && !includeChar) {\n idx += 1;\n }\n }\n return idx;\n }\n\n // TODO: perhaps this finagling of start and end positions belonds\n // in codmirror/replaceRange?\n function selectCompanionObject(cm, symb, inclusive) {\n var cur = cm.getCursor(), start, end;\n\n var bracketRegexp = ({\n '(': /[()]/, ')': /[()]/,\n '[': /[[\\]]/, ']': /[[\\]]/,\n '{': /[{}]/, '}': /[{}]/})[symb];\n var openSym = ({\n '(': '(', ')': '(',\n '[': '[', ']': '[',\n '{': '{', '}': '{'})[symb];\n var curChar = cm.getLine(cur.line).charAt(cur.ch);\n // Due to the behavior of scanForBracket, we need to add an offset if the\n // cursor is on a matching open bracket.\n var offset = curChar === openSym ? 1 : 0;\n\n start = cm.scanForBracket(Pos(cur.line, cur.ch + offset), -1, null, {'bracketRegex': bracketRegexp});\n end = cm.scanForBracket(Pos(cur.line, cur.ch + offset), 1, null, {'bracketRegex': bracketRegexp});\n\n if (!start || !end) {\n return { start: cur, end: cur };\n }\n\n start = start.pos;\n end = end.pos;\n\n if ((start.line == end.line && start.ch > end.ch)\n || (start.line > end.line)) {\n var tmp = start;\n start = end;\n end = tmp;\n }\n\n if (inclusive) {\n end.ch += 1;\n } else {\n start.ch += 1;\n }\n\n return { start: start, end: end };\n }\n\n // Takes in a symbol and a cursor and tries to simulate text objects that\n // have identical opening and closing symbols\n // TODO support across multiple lines\n function findBeginningAndEnd(cm, symb, inclusive) {\n var cur = copyCursor(cm.getCursor());\n var line = cm.getLine(cur.line);\n var chars = line.split('');\n var start, end, i, len;\n var firstIndex = chars.indexOf(symb);\n\n // the decision tree is to always look backwards for the beginning first,\n // but if the cursor is in front of the first instance of the symb,\n // then move the cursor forward\n if (cur.ch < firstIndex) {\n cur.ch = firstIndex;\n // Why is this line even here???\n // cm.setCursor(cur.line, firstIndex+1);\n }\n // otherwise if the cursor is currently on the closing symbol\n else if (firstIndex < cur.ch && chars[cur.ch] == symb) {\n end = cur.ch; // assign end to the current cursor\n --cur.ch; // make sure to look backwards\n }\n\n // if we're currently on the symbol, we've got a start\n if (chars[cur.ch] == symb && !end) {\n start = cur.ch + 1; // assign start to ahead of the cursor\n } else {\n // go backwards to find the start\n for (i = cur.ch; i > -1 && !start; i--) {\n if (chars[i] == symb) {\n start = i + 1;\n }\n }\n }\n\n // look forwards for the end symbol\n if (start && !end) {\n for (i = start, len = chars.length; i < len && !end; i++) {\n if (chars[i] == symb) {\n end = i;\n }\n }\n }\n\n // nothing found\n if (!start || !end) {\n return { start: cur, end: cur };\n }\n\n // include the symbols\n if (inclusive) {\n --start; ++end;\n }\n\n return {\n start: Pos(cur.line, start),\n end: Pos(cur.line, end)\n };\n }\n\n // Search functions\n defineOption('pcre', true, 'boolean');\n function SearchState() {}\n SearchState.prototype = {\n getQuery: function() {\n return vimGlobalState.query;\n },\n setQuery: function(query) {\n vimGlobalState.query = query;\n },\n getOverlay: function() {\n return this.searchOverlay;\n },\n setOverlay: function(overlay) {\n this.searchOverlay = overlay;\n },\n isReversed: function() {\n return vimGlobalState.isReversed;\n },\n setReversed: function(reversed) {\n vimGlobalState.isReversed = reversed;\n }\n };\n function getSearchState(cm) {\n var vim = cm.state.vim;\n return vim.searchState_ || (vim.searchState_ = new SearchState());\n }\n function dialog(cm, template, shortText, onClose, options) {\n if (cm.openDialog) {\n cm.openDialog(template, onClose, { bottom: true, value: options.value,\n onKeyDown: options.onKeyDown, onKeyUp: options.onKeyUp });\n }\n else {\n onClose(prompt(shortText, ''));\n }\n }\n\n function findUnescapedSlashes(str) {\n var escapeNextChar = false;\n var slashes = [];\n for (var i = 0; i < str.length; i++) {\n var c = str.charAt(i);\n if (!escapeNextChar && c == '/') {\n slashes.push(i);\n }\n escapeNextChar = !escapeNextChar && (c == '\\\\');\n }\n return slashes;\n }\n\n // Translates a search string from ex (vim) syntax into javascript form.\n function translateRegex(str) {\n // When these match, add a '\\' if unescaped or remove one if escaped.\n var specials = '|(){';\n // Remove, but never add, a '\\' for these.\n var unescape = '}';\n var escapeNextChar = false;\n var out = [];\n for (var i = -1; i < str.length; i++) {\n var c = str.charAt(i) || '';\n var n = str.charAt(i+1) || '';\n var specialComesNext = (n && specials.indexOf(n) != -1);\n if (escapeNextChar) {\n if (c !== '\\\\' || !specialComesNext) {\n out.push(c);\n }\n escapeNextChar = false;\n } else {\n if (c === '\\\\') {\n escapeNextChar = true;\n // Treat the unescape list as special for removing, but not adding '\\'.\n if (n && unescape.indexOf(n) != -1) {\n specialComesNext = true;\n }\n // Not passing this test means removing a '\\'.\n if (!specialComesNext || n === '\\\\') {\n out.push(c);\n }\n } else {\n out.push(c);\n if (specialComesNext && n !== '\\\\') {\n out.push('\\\\');\n }\n }\n }\n }\n return out.join('');\n }\n\n // Translates the replace part of a search and replace from ex (vim) syntax into\n // javascript form. Similar to translateRegex, but additionally fixes back references\n // (translates '\\[0..9]' to '$[0..9]') and follows different rules for escaping '$'.\n function translateRegexReplace(str) {\n var escapeNextChar = false;\n var out = [];\n for (var i = -1; i < str.length; i++) {\n var c = str.charAt(i) || '';\n var n = str.charAt(i+1) || '';\n if (escapeNextChar) {\n // At any point in the loop, escapeNextChar is true if the previous\n // character was a '\\' and was not escaped.\n out.push(c);\n escapeNextChar = false;\n } else {\n if (c === '\\\\') {\n escapeNextChar = true;\n if ((isNumber(n) || n === '$')) {\n out.push('$');\n } else if (n !== '/' && n !== '\\\\') {\n out.push('\\\\');\n }\n } else {\n if (c === '$') {\n out.push('$');\n }\n out.push(c);\n if (n === '/') {\n out.push('\\\\');\n }\n }\n }\n }\n return out.join('');\n }\n\n // Unescape \\ and / in the replace part, for PCRE mode.\n function unescapeRegexReplace(str) {\n var stream = new CodeMirror.StringStream(str);\n var output = [];\n while (!stream.eol()) {\n // Search for \\.\n while (stream.peek() && stream.peek() != '\\\\') {\n output.push(stream.next());\n }\n if (stream.match('\\\\/', true)) {\n // \\/ => /\n output.push('/');\n } else if (stream.match('\\\\\\\\', true)) {\n // \\\\ => \\\n output.push('\\\\');\n } else {\n // Don't change anything\n output.push(stream.next());\n }\n }\n return output.join('');\n }\n\n /**\n * Extract the regular expression from the query and return a Regexp object.\n * Returns null if the query is blank.\n * If ignoreCase is passed in, the Regexp object will have the 'i' flag set.\n * If smartCase is passed in, and the query contains upper case letters,\n * then ignoreCase is overridden, and the 'i' flag will not be set.\n * If the query contains the /i in the flag part of the regular expression,\n * then both ignoreCase and smartCase are ignored, and 'i' will be passed\n * through to the Regex object.\n */\n function parseQuery(query, ignoreCase, smartCase) {\n // Check if the query is already a regex.\n if (query instanceof RegExp) { return query; }\n // First try to extract regex + flags from the input. If no flags found,\n // extract just the regex. IE does not accept flags directly defined in\n // the regex string in the form /regex/flags\n var slashes = findUnescapedSlashes(query);\n var regexPart;\n var forceIgnoreCase;\n if (!slashes.length) {\n // Query looks like 'regexp'\n regexPart = query;\n } else {\n // Query looks like 'regexp/...'\n regexPart = query.substring(0, slashes[0]);\n var flagsPart = query.substring(slashes[0]);\n forceIgnoreCase = (flagsPart.indexOf('i') != -1);\n }\n if (!regexPart) {\n return null;\n }\n if (!getOption('pcre')) {\n regexPart = translateRegex(regexPart);\n }\n if (smartCase) {\n ignoreCase = (/^[^A-Z]*$/).test(regexPart);\n }\n var regexp = new RegExp(regexPart,\n (ignoreCase || forceIgnoreCase) ? 'i' : undefined);\n return regexp;\n }\n function showConfirm(cm, text) {\n if (cm.openNotification) {\n cm.openNotification('<span style=\"color: red\">' + text + '</span>',\n {bottom: true, duration: 5000});\n } else {\n alert(text);\n }\n }\n function makePrompt(prefix, desc) {\n var raw = '';\n if (prefix) {\n raw += '<span style=\"font-family: monospace\">' + prefix + '</span>';\n }\n raw += '<input type=\"text\"/> ' +\n '<span style=\"color: #888\">';\n if (desc) {\n raw += '<span style=\"color: #888\">';\n raw += desc;\n raw += '</span>';\n }\n return raw;\n }\n var searchPromptDesc = '(Javascript regexp)';\n function showPrompt(cm, options) {\n var shortText = (options.prefix || '') + ' ' + (options.desc || '');\n var prompt = makePrompt(options.prefix, options.desc);\n dialog(cm, prompt, shortText, options.onClose, options);\n }\n function regexEqual(r1, r2) {\n if (r1 instanceof RegExp && r2 instanceof RegExp) {\n var props = ['global', 'multiline', 'ignoreCase', 'source'];\n for (var i = 0; i < props.length; i++) {\n var prop = props[i];\n if (r1[prop] !== r2[prop]) {\n return false;\n }\n }\n return true;\n }\n return false;\n }\n // Returns true if the query is valid.\n function updateSearchQuery(cm, rawQuery, ignoreCase, smartCase) {\n if (!rawQuery) {\n return;\n }\n var state = getSearchState(cm);\n var query = parseQuery(rawQuery, !!ignoreCase, !!smartCase);\n if (!query) {\n return;\n }\n highlightSearchMatches(cm, query);\n if (regexEqual(query, state.getQuery())) {\n return query;\n }\n state.setQuery(query);\n return query;\n }\n function searchOverlay(query) {\n if (query.source.charAt(0) == '^') {\n var matchSol = true;\n }\n return {\n token: function(stream) {\n if (matchSol && !stream.sol()) {\n stream.skipToEnd();\n return;\n }\n var match = stream.match(query, false);\n if (match) {\n if (match[0].length == 0) {\n // Matched empty string, skip to next.\n stream.next();\n return 'searching';\n }\n if (!stream.sol()) {\n // Backtrack 1 to match \\b\n stream.backUp(1);\n if (!query.exec(stream.next() + match[0])) {\n stream.next();\n return null;\n }\n }\n stream.match(query);\n return 'searching';\n }\n while (!stream.eol()) {\n stream.next();\n if (stream.match(query, false)) break;\n }\n },\n query: query\n };\n }\n function highlightSearchMatches(cm, query) {\n var overlay = getSearchState(cm).getOverlay();\n if (!overlay || query != overlay.query) {\n if (overlay) {\n cm.removeOverlay(overlay);\n }\n overlay = searchOverlay(query);\n cm.addOverlay(overlay);\n getSearchState(cm).setOverlay(overlay);\n }\n }\n function findNext(cm, prev, query, repeat) {\n if (repeat === undefined) { repeat = 1; }\n return cm.operation(function() {\n var pos = cm.getCursor();\n var cursor = cm.getSearchCursor(query, pos);\n for (var i = 0; i < repeat; i++) {\n var found = cursor.find(prev);\n if (i == 0 && found && cursorEqual(cursor.from(), pos)) { found = cursor.find(prev); }\n if (!found) {\n // SearchCursor may have returned null because it hit EOF, wrap\n // around and try again.\n cursor = cm.getSearchCursor(query,\n (prev) ? Pos(cm.lastLine()) : Pos(cm.firstLine(), 0) );\n if (!cursor.find(prev)) {\n return;\n }\n }\n }\n return cursor.from();\n });\n }\n function clearSearchHighlight(cm) {\n cm.removeOverlay(getSearchState(cm).getOverlay());\n getSearchState(cm).setOverlay(null);\n }\n /**\n * Check if pos is in the specified range, INCLUSIVE.\n * Range can be specified with 1 or 2 arguments.\n * If the first range argument is an array, treat it as an array of line\n * numbers. Match pos against any of the lines.\n * If the first range argument is a number,\n * if there is only 1 range argument, check if pos has the same line\n * number\n * if there are 2 range arguments, then check if pos is in between the two\n * range arguments.\n */\n function isInRange(pos, start, end) {\n if (typeof pos != 'number') {\n // Assume it is a cursor position. Get the line number.\n pos = pos.line;\n }\n if (start instanceof Array) {\n return inArray(pos, start);\n } else {\n if (end) {\n return (pos >= start && pos <= end);\n } else {\n return pos == start;\n }\n }\n }\n function getUserVisibleLines(cm) {\n var scrollInfo = cm.getScrollInfo();\n var occludeToleranceTop = 6;\n var occludeToleranceBottom = 10;\n var from = cm.coordsChar({left:0, top: occludeToleranceTop + scrollInfo.top}, 'local');\n var bottomY = scrollInfo.clientHeight - occludeToleranceBottom + scrollInfo.top;\n var to = cm.coordsChar({left:0, top: bottomY}, 'local');\n return {top: from.line, bottom: to.line};\n }\n\n // Ex command handling\n // Care must be taken when adding to the default Ex command map. For any\n // pair of commands that have a shared prefix, at least one of their\n // shortNames must not match the prefix of the other command.\n var defaultExCommandMap = [\n { name: 'map' },\n { name: 'nmap', shortName: 'nm' },\n { name: 'vmap', shortName: 'vm' },\n { name: 'unmap' },\n { name: 'write', shortName: 'w' },\n { name: 'undo', shortName: 'u' },\n { name: 'redo', shortName: 'red' },\n { name: 'set', shortName: 'set' },\n { name: 'sort', shortName: 'sor' },\n { name: 'substitute', shortName: 's' },\n { name: 'nohlsearch', shortName: 'noh' },\n { name: 'delmarks', shortName: 'delm' },\n { name: 'registers', shortName: 'reg', excludeFromCommandHistory: true }\n ];\n Vim.ExCommandDispatcher = function() {\n this.buildCommandMap_();\n };\n Vim.ExCommandDispatcher.prototype = {\n processCommand: function(cm, input) {\n var vim = cm.state.vim;\n var commandHistoryRegister = vimGlobalState.registerController.getRegister(':');\n var previousCommand = commandHistoryRegister.toString();\n if (vim.visualMode) {\n exitVisualMode(cm);\n }\n var inputStream = new CodeMirror.StringStream(input);\n // update \": with the latest command whether valid or invalid\n commandHistoryRegister.setText(input);\n var params = {};\n params.input = input;\n try {\n this.parseInput_(cm, inputStream, params);\n } catch(e) {\n showConfirm(cm, e);\n throw e;\n }\n var commandName;\n if (!params.commandName) {\n // If only a line range is defined, move to the line.\n if (params.line !== undefined) {\n commandName = 'move';\n }\n } else {\n var command = this.matchCommand_(params.commandName);\n if (command) {\n commandName = command.name;\n if (command.excludeFromCommandHistory) {\n commandHistoryRegister.setText(previousCommand);\n }\n this.parseCommandArgs_(inputStream, params, command);\n if (command.type == 'exToKey') {\n // Handle Ex to Key mapping.\n for (var i = 0; i < command.toKeys.length; i++) {\n CodeMirror.Vim.handleKey(cm, command.toKeys[i]);\n }\n return;\n } else if (command.type == 'exToEx') {\n // Handle Ex to Ex mapping.\n this.processCommand(cm, command.toInput);\n return;\n }\n }\n }\n if (!commandName) {\n showConfirm(cm, 'Not an editor command \":' + input + '\"');\n return;\n }\n try {\n exCommands[commandName](cm, params);\n } catch(e) {\n showConfirm(cm, e);\n throw e;\n }\n },\n parseInput_: function(cm, inputStream, result) {\n inputStream.eatWhile(':');\n // Parse range.\n if (inputStream.eat('%')) {\n result.line = cm.firstLine();\n result.lineEnd = cm.lastLine();\n } else {\n result.line = this.parseLineSpec_(cm, inputStream);\n if (result.line !== undefined && inputStream.eat(',')) {\n result.lineEnd = this.parseLineSpec_(cm, inputStream);\n }\n }\n\n // Parse command name.\n var commandMatch = inputStream.match(/^(\\w+)/);\n if (commandMatch) {\n result.commandName = commandMatch[1];\n } else {\n result.commandName = inputStream.match(/.*/)[0];\n }\n\n return result;\n },\n parseLineSpec_: function(cm, inputStream) {\n var numberMatch = inputStream.match(/^(\\d+)/);\n if (numberMatch) {\n return parseInt(numberMatch[1], 10) - 1;\n }\n switch (inputStream.next()) {\n case '.':\n return cm.getCursor().line;\n case '$':\n return cm.lastLine();\n case '\\'':\n var mark = cm.state.vim.marks[inputStream.next()];\n if (mark && mark.find()) {\n return mark.find().line;\n }\n throw new Error('Mark not set');\n default:\n inputStream.backUp(1);\n return undefined;\n }\n },\n parseCommandArgs_: function(inputStream, params, command) {\n if (inputStream.eol()) {\n return;\n }\n params.argString = inputStream.match(/.*/)[0];\n // Parse command-line arguments\n var delim = command.argDelimiter || /\\s+/;\n var args = trim(params.argString).split(delim);\n if (args.length && args[0]) {\n params.args = args;\n }\n },\n matchCommand_: function(commandName) {\n // Return the command in the command map that matches the shortest\n // prefix of the passed in command name. The match is guaranteed to be\n // unambiguous if the defaultExCommandMap's shortNames are set up\n // correctly. (see @code{defaultExCommandMap}).\n for (var i = commandName.length; i > 0; i--) {\n var prefix = commandName.substring(0, i);\n if (this.commandMap_[prefix]) {\n var command = this.commandMap_[prefix];\n if (command.name.indexOf(commandName) === 0) {\n return command;\n }\n }\n }\n return null;\n },\n buildCommandMap_: function() {\n this.commandMap_ = {};\n for (var i = 0; i < defaultExCommandMap.length; i++) {\n var command = defaultExCommandMap[i];\n var key = command.shortName || command.name;\n this.commandMap_[key] = command;\n }\n },\n map: function(lhs, rhs, ctx) {\n if (lhs != ':' && lhs.charAt(0) == ':') {\n if (ctx) { throw Error('Mode not supported for ex mappings'); }\n var commandName = lhs.substring(1);\n if (rhs != ':' && rhs.charAt(0) == ':') {\n // Ex to Ex mapping\n this.commandMap_[commandName] = {\n name: commandName,\n type: 'exToEx',\n toInput: rhs.substring(1),\n user: true\n };\n } else {\n // Ex to key mapping\n this.commandMap_[commandName] = {\n name: commandName,\n type: 'exToKey',\n toKeys: parseKeyString(rhs),\n user: true\n };\n }\n } else {\n if (rhs != ':' && rhs.charAt(0) == ':') {\n // Key to Ex mapping.\n var mapping = {\n keys: parseKeyString(lhs),\n type: 'keyToEx',\n exArgs: { input: rhs.substring(1) },\n user: true};\n if (ctx) { mapping.context = ctx; }\n defaultKeymap.unshift(mapping);\n } else {\n // Key to key mapping\n var mapping = {\n keys: parseKeyString(lhs),\n type: 'keyToKey',\n toKeys: parseKeyString(rhs),\n user: true\n };\n if (ctx) { mapping.context = ctx; }\n defaultKeymap.unshift(mapping);\n }\n }\n },\n unmap: function(lhs, ctx) {\n var arrayEquals = function(a, b) {\n if (a === b) return true;\n if (a == null || b == null) return true;\n if (a.length != b.length) return false;\n for (var i = 0; i < a.length; i++) {\n if (a[i] !== b[i]) return false;\n }\n return true;\n };\n if (lhs != ':' && lhs.charAt(0) == ':') {\n // Ex to Ex or Ex to key mapping\n if (ctx) { throw Error('Mode not supported for ex mappings'); }\n var commandName = lhs.substring(1);\n if (this.commandMap_[commandName] && this.commandMap_[commandName].user) {\n delete this.commandMap_[commandName];\n return;\n }\n } else {\n // Key to Ex or key to key mapping\n var keys = parseKeyString(lhs);\n for (var i = 0; i < defaultKeymap.length; i++) {\n if (arrayEquals(keys, defaultKeymap[i].keys)\n && defaultKeymap[i].context === ctx\n && defaultKeymap[i].user) {\n defaultKeymap.splice(i, 1);\n return;\n }\n }\n }\n throw Error('No such mapping.');\n }\n };\n\n // Converts a key string sequence of the form a<C-w>bd<Left> into Vim's\n // keymap representation.\n function parseKeyString(str) {\n var key, match;\n var keys = [];\n while (str) {\n match = (/<\\w+-.+?>|<\\w+>|./).exec(str);\n if (match === null)break;\n key = match[0];\n str = str.substring(match.index + key.length);\n keys.push(key);\n }\n return keys;\n }\n\n var exCommands = {\n map: function(cm, params, ctx) {\n var mapArgs = params.args;\n if (!mapArgs || mapArgs.length < 2) {\n if (cm) {\n showConfirm(cm, 'Invalid mapping: ' + params.input);\n }\n return;\n }\n exCommandDispatcher.map(mapArgs[0], mapArgs[1], ctx);\n },\n nmap: function(cm, params) { this.map(cm, params, 'normal'); },\n vmap: function(cm, params) { this.map(cm, params, 'visual'); },\n unmap: function(cm, params, ctx) {\n var mapArgs = params.args;\n if (!mapArgs || mapArgs.length < 1) {\n if (cm) {\n showConfirm(cm, 'No such mapping: ' + params.input);\n }\n return;\n }\n exCommandDispatcher.unmap(mapArgs[0], ctx);\n },\n move: function(cm, params) {\n commandDispatcher.processCommand(cm, cm.state.vim, {\n type: 'motion',\n motion: 'moveToLineOrEdgeOfDocument',\n motionArgs: { forward: false, explicitRepeat: true,\n linewise: true },\n repeatOverride: params.line+1});\n },\n set: function(cm, params) {\n var setArgs = params.args;\n if (!setArgs || setArgs.length < 1) {\n if (cm) {\n showConfirm(cm, 'Invalid mapping: ' + params.input);\n }\n return;\n }\n var expr = setArgs[0].split('=');\n var optionName = expr[0];\n var value = expr[1];\n var forceGet = false;\n\n if (optionName.charAt(optionName.length - 1) == '?') {\n // If post-fixed with ?, then the set is actually a get.\n if (value) { throw Error('Trailing characters: ' + params.argString); }\n optionName = optionName.substring(0, optionName.length - 1);\n forceGet = true;\n }\n if (value === undefined && optionName.substring(0, 2) == 'no') {\n // To set boolean options to false, the option name is prefixed with\n // 'no'.\n optionName = optionName.substring(2);\n value = false;\n }\n var optionIsBoolean = options[optionName] && options[optionName].type == 'boolean';\n if (optionIsBoolean && value == undefined) {\n // Calling set with a boolean option sets it to true.\n value = true;\n }\n if (!optionIsBoolean && !value || forceGet) {\n var oldValue = getOption(optionName);\n // If no value is provided, then we assume this is a get.\n if (oldValue === true || oldValue === false) {\n showConfirm(cm, ' ' + (oldValue ? '' : 'no') + optionName);\n } else {\n showConfirm(cm, ' ' + optionName + '=' + oldValue);\n }\n } else {\n setOption(optionName, value);\n }\n },\n registers: function(cm,params) {\n var regArgs = params.args;\n var registers = vimGlobalState.registerController.registers;\n var regInfo = '----------Registers----------<br><br>';\n if (!regArgs) {\n for (var registerName in registers) {\n var text = registers[registerName].toString();\n if (text.length) {\n regInfo += '\"' + registerName + ' ' + text + '<br>';\n }\n }\n } else {\n var registerName;\n regArgs = regArgs.join('');\n for (var i = 0; i < regArgs.length; i++) {\n registerName = regArgs.charAt(i);\n if (!vimGlobalState.registerController.isValidRegister(registerName)) {\n continue;\n }\n var register = registers[registerName] || new Register();\n regInfo += '\"' + registerName + ' ' + register.toString() + '<br>';\n }\n }\n showConfirm(cm, regInfo);\n },\n sort: function(cm, params) {\n var reverse, ignoreCase, unique, number;\n function parseArgs() {\n if (params.argString) {\n var args = new CodeMirror.StringStream(params.argString);\n if (args.eat('!')) { reverse = true; }\n if (args.eol()) { return; }\n if (!args.eatSpace()) { return 'Invalid arguments'; }\n var opts = args.match(/[a-z]+/);\n if (opts) {\n opts = opts[0];\n ignoreCase = opts.indexOf('i') != -1;\n unique = opts.indexOf('u') != -1;\n var decimal = opts.indexOf('d') != -1 && 1;\n var hex = opts.indexOf('x') != -1 && 1;\n var octal = opts.indexOf('o') != -1 && 1;\n if (decimal + hex + octal > 1) { return 'Invalid arguments'; }\n number = decimal && 'decimal' || hex && 'hex' || octal && 'octal';\n }\n if (args.eatSpace() && args.match(/\\/.*\\//)) { 'patterns not supported'; }\n }\n }\n var err = parseArgs();\n if (err) {\n showConfirm(cm, err + ': ' + params.argString);\n return;\n }\n var lineStart = params.line || cm.firstLine();\n var lineEnd = params.lineEnd || params.line || cm.lastLine();\n if (lineStart == lineEnd) { return; }\n var curStart = Pos(lineStart, 0);\n var curEnd = Pos(lineEnd, lineLength(cm, lineEnd));\n var text = cm.getRange(curStart, curEnd).split('\\n');\n var numberRegex = (number == 'decimal') ? /(-?)([\\d]+)/ :\n (number == 'hex') ? /(-?)(?:0x)?([0-9a-f]+)/i :\n (number == 'octal') ? /([0-7]+)/ : null;\n var radix = (number == 'decimal') ? 10 : (number == 'hex') ? 16 : (number == 'octal') ? 8 : null;\n var numPart = [], textPart = [];\n if (number) {\n for (var i = 0; i < text.length; i++) {\n if (numberRegex.exec(text[i])) {\n numPart.push(text[i]);\n } else {\n textPart.push(text[i]);\n }\n }\n } else {\n textPart = text;\n }\n function compareFn(a, b) {\n if (reverse) { var tmp; tmp = a; a = b; b = tmp; }\n if (ignoreCase) { a = a.toLowerCase(); b = b.toLowerCase(); }\n var anum = number && numberRegex.exec(a);\n var bnum = number && numberRegex.exec(b);\n if (!anum) { return a < b ? -1 : 1; }\n anum = parseInt((anum[1] + anum[2]).toLowerCase(), radix);\n bnum = parseInt((bnum[1] + bnum[2]).toLowerCase(), radix);\n return anum - bnum;\n }\n numPart.sort(compareFn);\n textPart.sort(compareFn);\n text = (!reverse) ? textPart.concat(numPart) : numPart.concat(textPart);\n if (unique) { // Remove duplicate lines\n var textOld = text;\n var lastLine;\n text = [];\n for (var i = 0; i < textOld.length; i++) {\n if (textOld[i] != lastLine) {\n text.push(textOld[i]);\n }\n lastLine = textOld[i];\n }\n }\n cm.replaceRange(text.join('\\n'), curStart, curEnd);\n },\n substitute: function(cm, params) {\n if (!cm.getSearchCursor) {\n throw new Error('Search feature not available. Requires searchcursor.js or ' +\n 'any other getSearchCursor implementation.');\n }\n var argString = params.argString;\n var slashes = argString ? findUnescapedSlashes(argString) : [];\n var replacePart = '';\n if (slashes.length) {\n if (slashes[0] !== 0) {\n showConfirm(cm, 'Substitutions should be of the form ' +\n ':s/pattern/replace/');\n return;\n }\n var regexPart = argString.substring(slashes[0] + 1, slashes[1]);\n var flagsPart;\n var count;\n var confirm = false; // Whether to confirm each replace.\n if (slashes[1]) {\n replacePart = argString.substring(slashes[1] + 1, slashes[2]);\n if (getOption('pcre')) {\n replacePart = unescapeRegexReplace(replacePart);\n } else {\n replacePart = translateRegexReplace(replacePart);\n }\n vimGlobalState.lastSubstituteReplacePart = replacePart;\n }\n if (slashes[2]) {\n // After the 3rd slash, we can have flags followed by a space followed\n // by count.\n var trailing = argString.substring(slashes[2] + 1).split(' ');\n flagsPart = trailing[0];\n count = parseInt(trailing[1]);\n }\n if (flagsPart) {\n if (flagsPart.indexOf('c') != -1) {\n confirm = true;\n flagsPart.replace('c', '');\n }\n regexPart = regexPart + '/' + flagsPart;\n }\n }\n if (regexPart) {\n // If regex part is empty, then use the previous query. Otherwise use\n // the regex part as the new query.\n try {\n updateSearchQuery(cm, regexPart, true /** ignoreCase */,\n true /** smartCase */);\n } catch (e) {\n showConfirm(cm, 'Invalid regex: ' + regexPart);\n return;\n }\n }\n replacePart = replacePart || vimGlobalState.lastSubstituteReplacePart;\n if (replacePart === undefined) {\n showConfirm(cm, 'No previous substitute regular expression');\n return;\n }\n var state = getSearchState(cm);\n var query = state.getQuery();\n var lineStart = (params.line !== undefined) ? params.line : cm.getCursor().line;\n var lineEnd = params.lineEnd || lineStart;\n if (count) {\n lineStart = lineEnd;\n lineEnd = lineStart + count - 1;\n }\n var startPos = clipCursorToContent(cm, Pos(lineStart, 0));\n var cursor = cm.getSearchCursor(query, startPos);\n doReplace(cm, confirm, lineStart, lineEnd, cursor, query, replacePart);\n },\n redo: CodeMirror.commands.redo,\n undo: CodeMirror.commands.undo,\n write: function(cm) {\n if (CodeMirror.commands.save) {\n // If a save command is defined, call it.\n CodeMirror.commands.save(cm);\n } else {\n // Saves to text area if no save command is defined.\n cm.save();\n }\n },\n nohlsearch: function(cm) {\n clearSearchHighlight(cm);\n },\n delmarks: function(cm, params) {\n if (!params.argString || !trim(params.argString)) {\n showConfirm(cm, 'Argument required');\n return;\n }\n\n var state = cm.state.vim;\n var stream = new CodeMirror.StringStream(trim(params.argString));\n while (!stream.eol()) {\n stream.eatSpace();\n\n // Record the streams position at the beginning of the loop for use\n // in error messages.\n var count = stream.pos;\n\n if (!stream.match(/[a-zA-Z]/, false)) {\n showConfirm(cm, 'Invalid argument: ' + params.argString.substring(count));\n return;\n }\n\n var sym = stream.next();\n // Check if this symbol is part of a range\n if (stream.match('-', true)) {\n // This symbol is part of a range.\n\n // The range must terminate at an alphabetic character.\n if (!stream.match(/[a-zA-Z]/, false)) {\n showConfirm(cm, 'Invalid argument: ' + params.argString.substring(count));\n return;\n }\n\n var startMark = sym;\n var finishMark = stream.next();\n // The range must terminate at an alphabetic character which\n // shares the same case as the start of the range.\n if (isLowerCase(startMark) && isLowerCase(finishMark) ||\n isUpperCase(startMark) && isUpperCase(finishMark)) {\n var start = startMark.charCodeAt(0);\n var finish = finishMark.charCodeAt(0);\n if (start >= finish) {\n showConfirm(cm, 'Invalid argument: ' + params.argString.substring(count));\n return;\n }\n\n // Because marks are always ASCII values, and we have\n // determined that they are the same case, we can use\n // their char codes to iterate through the defined range.\n for (var j = 0; j <= finish - start; j++) {\n var mark = String.fromCharCode(start + j);\n delete state.marks[mark];\n }\n } else {\n showConfirm(cm, 'Invalid argument: ' + startMark + '-');\n return;\n }\n } else {\n // This symbol is a valid mark, and is not part of a range.\n delete state.marks[sym];\n }\n }\n }\n };\n\n var exCommandDispatcher = new Vim.ExCommandDispatcher();\n\n /**\n * @param {CodeMirror} cm CodeMirror instance we are in.\n * @param {boolean} confirm Whether to confirm each replace.\n * @param {Cursor} lineStart Line to start replacing from.\n * @param {Cursor} lineEnd Line to stop replacing at.\n * @param {RegExp} query Query for performing matches with.\n * @param {string} replaceWith Text to replace matches with. May contain $1,\n * $2, etc for replacing captured groups using Javascript replace.\n */\n function doReplace(cm, confirm, lineStart, lineEnd, searchCursor, query,\n replaceWith) {\n // Set up all the functions.\n cm.state.vim.exMode = true;\n var done = false;\n var lastPos = searchCursor.from();\n function replaceAll() {\n cm.operation(function() {\n while (!done) {\n replace();\n next();\n }\n stop();\n });\n }\n function replace() {\n var text = cm.getRange(searchCursor.from(), searchCursor.to());\n var newText = text.replace(query, replaceWith);\n searchCursor.replace(newText);\n }\n function next() {\n var found = searchCursor.findNext();\n if (!found) {\n done = true;\n } else if (isInRange(searchCursor.from(), lineStart, lineEnd)) {\n cm.scrollIntoView(searchCursor.from(), 30);\n cm.setSelection(searchCursor.from(), searchCursor.to());\n lastPos = searchCursor.from();\n done = false;\n } else {\n done = true;\n }\n }\n function stop(close) {\n if (close) { close(); }\n cm.focus();\n if (lastPos) {\n cm.setCursor(lastPos);\n var vim = cm.state.vim;\n vim.exMode = false;\n vim.lastHPos = vim.lastHSPos = lastPos.ch;\n }\n }\n function onPromptKeyDown(e, _value, close) {\n // Swallow all keys.\n CodeMirror.e_stop(e);\n var keyName = CodeMirror.keyName(e);\n switch (keyName) {\n case 'Y':\n replace(); next(); break;\n case 'N':\n next(); break;\n case 'A':\n cm.operation(replaceAll); break;\n case 'L':\n replace();\n // fall through and exit.\n case 'Q':\n case 'Esc':\n case 'Ctrl-C':\n case 'Ctrl-[':\n stop(close);\n break;\n }\n if (done) { stop(close); }\n }\n\n // Actually do replace.\n next();\n if (done) {\n showConfirm(cm, 'No matches for ' + query.source);\n return;\n }\n if (!confirm) {\n replaceAll();\n return;\n }\n showPrompt(cm, {\n prefix: 'replace with <strong>' + replaceWith + '</strong> (y/n/a/q/l)',\n onKeyDown: onPromptKeyDown\n });\n }\n\n // Register Vim with CodeMirror\n function buildVimKeyMap() {\n /**\n * Handle the raw key event from CodeMirror. Translate the\n * Shift + key modifier to the resulting letter, while preserving other\n * modifers.\n */\n function cmKeyToVimKey(key, modifier) {\n var vimKey = key;\n if (isUpperCase(vimKey) && modifier == 'Ctrl') {\n vimKey = vimKey.toLowerCase();\n }\n if (modifier) {\n // Vim will parse modifier+key combination as a single key.\n vimKey = modifier.charAt(0) + '-' + vimKey;\n }\n var specialKey = ({Enter:'CR',Backspace:'BS',Delete:'Del'})[vimKey];\n vimKey = specialKey ? specialKey : vimKey;\n vimKey = vimKey.length > 1 ? '<'+ vimKey + '>' : vimKey;\n return vimKey;\n }\n\n // Closure to bind CodeMirror, key, modifier.\n function keyMapper(vimKey) {\n return function(cm) {\n CodeMirror.Vim.handleKey(cm, vimKey);\n };\n }\n\n var cmToVimKeymap = {\n 'nofallthrough': true,\n 'style': 'fat-cursor'\n };\n function bindKeys(keys, modifier) {\n for (var i = 0; i < keys.length; i++) {\n var key = keys[i];\n if (!modifier && key.length == 1) {\n // Wrap all keys without modifiers with '' to identify them by their\n // key characters instead of key identifiers.\n key = \"'\" + key + \"'\";\n }\n var vimKey = cmKeyToVimKey(keys[i], modifier);\n var cmKey = modifier ? modifier + '-' + key : key;\n cmToVimKeymap[cmKey] = keyMapper(vimKey);\n }\n }\n bindKeys(upperCaseAlphabet);\n bindKeys(lowerCaseAlphabet);\n bindKeys(upperCaseAlphabet, 'Ctrl');\n bindKeys(specialSymbols);\n bindKeys(specialSymbols, 'Ctrl');\n bindKeys(numbers);\n bindKeys(numbers, 'Ctrl');\n bindKeys(specialKeys);\n bindKeys(specialKeys, 'Ctrl');\n return cmToVimKeymap;\n }\n CodeMirror.keyMap.vim = buildVimKeyMap();\n\n function exitInsertMode(cm) {\n var vim = cm.state.vim;\n var macroModeState = vimGlobalState.macroModeState;\n var insertModeChangeRegister = vimGlobalState.registerController.getRegister('.');\n var isPlaying = macroModeState.isPlaying;\n if (!isPlaying) {\n cm.off('change', onChange);\n CodeMirror.off(cm.getInputField(), 'keydown', onKeyEventTargetKeyDown);\n }\n if (!isPlaying && vim.insertModeRepeat > 1) {\n // Perform insert mode repeat for commands like 3,a and 3,o.\n repeatLastEdit(cm, vim, vim.insertModeRepeat - 1,\n true /** repeatForInsert */);\n vim.lastEditInputState.repeatOverride = vim.insertModeRepeat;\n }\n delete vim.insertModeRepeat;\n vim.insertMode = false;\n cm.setCursor(cm.getCursor().line, cm.getCursor().ch-1);\n cm.setOption('keyMap', 'vim');\n cm.setOption('disableInput', true);\n cm.toggleOverwrite(false); // exit replace mode if we were in it.\n // update the \". register before exiting insert mode\n insertModeChangeRegister.setText(macroModeState.lastInsertModeChanges.changes.join(''));\n CodeMirror.signal(cm, \"vim-mode-change\", {mode: \"normal\"});\n if (macroModeState.isRecording) {\n logInsertModeChange(macroModeState);\n }\n }\n\n CodeMirror.keyMap['vim-insert'] = {\n // TODO: override navigation keys so that Esc will cancel automatic\n // indentation from o, O, i_<CR>\n 'Esc': exitInsertMode,\n 'Ctrl-[': exitInsertMode,\n 'Ctrl-C': exitInsertMode,\n 'Ctrl-N': 'autocomplete',\n 'Ctrl-P': 'autocomplete',\n 'Enter': function(cm) {\n var fn = CodeMirror.commands.newlineAndIndentContinueComment ||\n CodeMirror.commands.newlineAndIndent;\n fn(cm);\n },\n fallthrough: ['default']\n };\n\n CodeMirror.keyMap['vim-replace'] = {\n 'Backspace': 'goCharLeft',\n fallthrough: ['vim-insert']\n };\n\n function executeMacroRegister(cm, vim, macroModeState, registerName) {\n var register = vimGlobalState.registerController.getRegister(registerName);\n var keyBuffer = register.keyBuffer;\n var imc = 0;\n macroModeState.isPlaying = true;\n macroModeState.replaySearchQueries = register.searchQueries.slice(0);\n for (var i = 0; i < keyBuffer.length; i++) {\n var text = keyBuffer[i];\n var match, key;\n while (text) {\n // Pull off one command key, which is either a single character\n // or a special sequence wrapped in '<' and '>', e.g. '<Space>'.\n match = (/<\\w+-.+?>|<\\w+>|./).exec(text);\n key = match[0];\n text = text.substring(match.index + key.length);\n CodeMirror.Vim.handleKey(cm, key);\n if (vim.insertMode) {\n repeatInsertModeChanges(\n cm, register.insertModeChanges[imc++].changes, 1);\n exitInsertMode(cm);\n }\n }\n };\n macroModeState.isPlaying = false;\n }\n\n function logKey(macroModeState, key) {\n if (macroModeState.isPlaying) { return; }\n var registerName = macroModeState.latestRegister;\n var register = vimGlobalState.registerController.getRegister(registerName);\n if (register) {\n register.pushText(key);\n }\n }\n\n function logInsertModeChange(macroModeState) {\n if (macroModeState.isPlaying) { return; }\n var registerName = macroModeState.latestRegister;\n var register = vimGlobalState.registerController.getRegister(registerName);\n if (register) {\n register.pushInsertModeChanges(macroModeState.lastInsertModeChanges);\n }\n }\n\n function logSearchQuery(macroModeState, query) {\n if (macroModeState.isPlaying) { return; }\n var registerName = macroModeState.latestRegister;\n var register = vimGlobalState.registerController.getRegister(registerName);\n if (register) {\n register.pushSearchQuery(query);\n }\n }\n\n /**\n * Listens for changes made in insert mode.\n * Should only be active in insert mode.\n */\n function onChange(_cm, changeObj) {\n var macroModeState = vimGlobalState.macroModeState;\n var lastChange = macroModeState.lastInsertModeChanges;\n if (!macroModeState.isPlaying) {\n while(changeObj) {\n lastChange.expectCursorActivityForChange = true;\n if (changeObj.origin == '+input' || changeObj.origin == 'paste'\n || changeObj.origin === undefined /* only in testing */) {\n var text = changeObj.text.join('\\n');\n lastChange.changes.push(text);\n }\n // Change objects may be chained with next.\n changeObj = changeObj.next;\n }\n }\n }\n\n /**\n * Listens for any kind of cursor activity on CodeMirror.\n */\n function onCursorActivity(cm) {\n var vim = cm.state.vim;\n if (vim.insertMode) {\n // Tracking cursor activity in insert mode (for macro support).\n var macroModeState = vimGlobalState.macroModeState;\n if (macroModeState.isPlaying) { return; }\n var lastChange = macroModeState.lastInsertModeChanges;\n if (lastChange.expectCursorActivityForChange) {\n lastChange.expectCursorActivityForChange = false;\n } else {\n // Cursor moved outside the context of an edit. Reset the change.\n lastChange.changes = [];\n }\n } else if (cm.doc.history.lastSelOrigin == '*mouse') {\n // Reset lastHPos if mouse click was done in normal mode.\n vim.lastHPos = cm.doc.getCursor().ch;\n }\n }\n\n /** Wrapper for special keys pressed in insert mode */\n function InsertModeKey(keyName) {\n this.keyName = keyName;\n }\n\n /**\n * Handles raw key down events from the text area.\n * - Should only be active in insert mode.\n * - For recording deletes in insert mode.\n */\n function onKeyEventTargetKeyDown(e) {\n var macroModeState = vimGlobalState.macroModeState;\n var lastChange = macroModeState.lastInsertModeChanges;\n var keyName = CodeMirror.keyName(e);\n function onKeyFound() {\n lastChange.changes.push(new InsertModeKey(keyName));\n return true;\n }\n if (keyName.indexOf('Delete') != -1 || keyName.indexOf('Backspace') != -1) {\n CodeMirror.lookupKey(keyName, ['vim-insert'], onKeyFound);\n }\n }\n\n /**\n * Repeats the last edit, which includes exactly 1 command and at most 1\n * insert. Operator and motion commands are read from lastEditInputState,\n * while action commands are read from lastEditActionCommand.\n *\n * If repeatForInsert is true, then the function was called by\n * exitInsertMode to repeat the insert mode changes the user just made. The\n * corresponding enterInsertMode call was made with a count.\n */\n function repeatLastEdit(cm, vim, repeat, repeatForInsert) {\n var macroModeState = vimGlobalState.macroModeState;\n macroModeState.isPlaying = true;\n var isAction = !!vim.lastEditActionCommand;\n var cachedInputState = vim.inputState;\n function repeatCommand() {\n if (isAction) {\n commandDispatcher.processAction(cm, vim, vim.lastEditActionCommand);\n } else {\n commandDispatcher.evalInput(cm, vim);\n }\n }\n function repeatInsert(repeat) {\n if (macroModeState.lastInsertModeChanges.changes.length > 0) {\n // For some reason, repeat cw in desktop VIM does not repeat\n // insert mode changes. Will conform to that behavior.\n repeat = !vim.lastEditActionCommand ? 1 : repeat;\n var changeObject = macroModeState.lastInsertModeChanges;\n // This isn't strictly necessary, but since lastInsertModeChanges is\n // supposed to be immutable during replay, this helps catch bugs.\n macroModeState.lastInsertModeChanges = {};\n repeatInsertModeChanges(cm, changeObject.changes, repeat);\n macroModeState.lastInsertModeChanges = changeObject;\n }\n }\n vim.inputState = vim.lastEditInputState;\n if (isAction && vim.lastEditActionCommand.interlaceInsertRepeat) {\n // o and O repeat have to be interlaced with insert repeats so that the\n // insertions appear on separate lines instead of the last line.\n for (var i = 0; i < repeat; i++) {\n repeatCommand();\n repeatInsert(1);\n }\n } else {\n if (!repeatForInsert) {\n // Hack to get the cursor to end up at the right place. If I is\n // repeated in insert mode repeat, cursor will be 1 insert\n // change set left of where it should be.\n repeatCommand();\n }\n repeatInsert(repeat);\n }\n vim.inputState = cachedInputState;\n if (vim.insertMode && !repeatForInsert) {\n // Don't exit insert mode twice. If repeatForInsert is set, then we\n // were called by an exitInsertMode call lower on the stack.\n exitInsertMode(cm);\n }\n macroModeState.isPlaying = false;\n };\n\n function repeatInsertModeChanges(cm, changes, repeat) {\n function keyHandler(binding) {\n if (typeof binding == 'string') {\n CodeMirror.commands[binding](cm);\n } else {\n binding(cm);\n }\n return true;\n }\n for (var i = 0; i < repeat; i++) {\n for (var j = 0; j < changes.length; j++) {\n var change = changes[j];\n if (change instanceof InsertModeKey) {\n CodeMirror.lookupKey(change.keyName, ['vim-insert'], keyHandler);\n } else {\n var cur = cm.getCursor();\n cm.replaceRange(change, cur, cur);\n }\n }\n }\n }\n\n resetVimGlobalState();\n return vimApi;\n };\n // Initialize Vim and make it available as an API.\n CodeMirror.Vim = Vim();\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/keymap/sublime.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/keymap/sublime.js",
"module-type": "library",
"text": "// A rough approximation of Sublime Text's keybindings\n// Depends on addon/search/searchcursor.js and optionally addon/dialog/dialogs.js\n\n(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../lib/codemirror\"), require(\"../addon/search/searchcursor\"), require(\"../addon/edit/matchbrackets\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../lib/codemirror\", \"../addon/search/searchcursor\", \"../addon/edit/matchbrackets\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n \"use strict\";\n\n var map = CodeMirror.keyMap.sublime = {fallthrough: \"default\"};\n var cmds = CodeMirror.commands;\n var Pos = CodeMirror.Pos;\n var ctrl = CodeMirror.keyMap[\"default\"] == CodeMirror.keyMap.pcDefault ? \"Ctrl-\" : \"Cmd-\";\n\n // This is not exactly Sublime's algorithm. I couldn't make heads or tails of that.\n function findPosSubword(doc, start, dir) {\n if (dir < 0 && start.ch == 0) return doc.clipPos(Pos(start.line - 1));\n var line = doc.getLine(start.line);\n if (dir > 0 && start.ch >= line.length) return doc.clipPos(Pos(start.line + 1, 0));\n var state = \"start\", type;\n for (var pos = start.ch, e = dir < 0 ? 0 : line.length, i = 0; pos != e; pos += dir, i++) {\n var next = line.charAt(dir < 0 ? pos - 1 : pos);\n var cat = next != \"_\" && CodeMirror.isWordChar(next) ? \"w\" : \"o\";\n if (cat == \"w\" && next.toUpperCase() == next) cat = \"W\";\n if (state == \"start\") {\n if (cat != \"o\") { state = \"in\"; type = cat; }\n } else if (state == \"in\") {\n if (type != cat) {\n if (type == \"w\" && cat == \"W\" && dir < 0) pos--;\n if (type == \"W\" && cat == \"w\" && dir > 0) { type = \"w\"; continue; }\n break;\n }\n }\n }\n return Pos(start.line, pos);\n }\n\n function moveSubword(cm, dir) {\n cm.extendSelectionsBy(function(range) {\n if (cm.display.shift || cm.doc.extend || range.empty())\n return findPosSubword(cm.doc, range.head, dir);\n else\n return dir < 0 ? range.from() : range.to();\n });\n }\n\n cmds[map[\"Alt-Left\"] = \"goSubwordLeft\"] = function(cm) { moveSubword(cm, -1); };\n cmds[map[\"Alt-Right\"] = \"goSubwordRight\"] = function(cm) { moveSubword(cm, 1); };\n\n cmds[map[ctrl + \"Up\"] = \"scrollLineUp\"] = function(cm) {\n var info = cm.getScrollInfo();\n if (!cm.somethingSelected()) {\n var visibleBottomLine = cm.lineAtHeight(info.top + info.clientHeight, \"local\");\n if (cm.getCursor().line >= visibleBottomLine)\n cm.execCommand(\"goLineUp\");\n }\n cm.scrollTo(null, info.top - cm.defaultTextHeight());\n };\n cmds[map[ctrl + \"Down\"] = \"scrollLineDown\"] = function(cm) {\n var info = cm.getScrollInfo();\n if (!cm.somethingSelected()) {\n var visibleTopLine = cm.lineAtHeight(info.top, \"local\")+1;\n if (cm.getCursor().line <= visibleTopLine)\n cm.execCommand(\"goLineDown\");\n }\n cm.scrollTo(null, info.top + cm.defaultTextHeight());\n };\n\n cmds[map[\"Shift-\" + ctrl + \"L\"] = \"splitSelectionByLine\"] = function(cm) {\n var ranges = cm.listSelections(), lineRanges = [];\n for (var i = 0; i < ranges.length; i++) {\n var from = ranges[i].from(), to = ranges[i].to();\n for (var line = from.line; line <= to.line; ++line)\n if (!(to.line > from.line && line == to.line && to.ch == 0))\n lineRanges.push({anchor: line == from.line ? from : Pos(line, 0),\n head: line == to.line ? to : Pos(line)});\n }\n cm.setSelections(lineRanges, 0);\n };\n\n map[\"Shift-Tab\"] = \"indentLess\";\n\n cmds[map[\"Esc\"] = \"singleSelectionTop\"] = function(cm) {\n var range = cm.listSelections()[0];\n cm.setSelection(range.anchor, range.head, {scroll: false});\n };\n\n cmds[map[ctrl + \"L\"] = \"selectLine\"] = function(cm) {\n var ranges = cm.listSelections(), extended = [];\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n extended.push({anchor: Pos(range.from().line, 0),\n head: Pos(range.to().line + 1, 0)});\n }\n cm.setSelections(extended);\n };\n\n map[\"Shift-\" + ctrl + \"K\"] = \"deleteLine\";\n\n function insertLine(cm, above) {\n cm.operation(function() {\n var len = cm.listSelections().length, newSelection = [], last = -1;\n for (var i = 0; i < len; i++) {\n var head = cm.listSelections()[i].head;\n if (head.line <= last) continue;\n var at = Pos(head.line + (above ? 0 : 1), 0);\n cm.replaceRange(\"\\n\", at, null, \"+insertLine\");\n cm.indentLine(at.line, null, true);\n newSelection.push({head: at, anchor: at});\n last = head.line + 1;\n }\n cm.setSelections(newSelection);\n });\n }\n\n cmds[map[ctrl + \"Enter\"] = \"insertLineAfter\"] = function(cm) { insertLine(cm, false); };\n\n cmds[map[\"Shift-\" + ctrl + \"Enter\"] = \"insertLineBefore\"] = function(cm) { insertLine(cm, true); };\n\n function wordAt(cm, pos) {\n var start = pos.ch, end = start, line = cm.getLine(pos.line);\n while (start && CodeMirror.isWordChar(line.charAt(start - 1))) --start;\n while (end < line.length && CodeMirror.isWordChar(line.charAt(end))) ++end;\n return {from: Pos(pos.line, start), to: Pos(pos.line, end), word: line.slice(start, end)};\n }\n\n cmds[map[ctrl + \"D\"] = \"selectNextOccurrence\"] = function(cm) {\n var from = cm.getCursor(\"from\"), to = cm.getCursor(\"to\");\n var fullWord = cm.state.sublimeFindFullWord == cm.doc.sel;\n if (CodeMirror.cmpPos(from, to) == 0) {\n var word = wordAt(cm, from);\n if (!word.word) return;\n cm.setSelection(word.from, word.to);\n fullWord = true;\n } else {\n var text = cm.getRange(from, to);\n var query = fullWord ? new RegExp(\"\\\\b\" + text + \"\\\\b\") : text;\n var cur = cm.getSearchCursor(query, to);\n if (cur.findNext()) {\n cm.addSelection(cur.from(), cur.to());\n } else {\n cur = cm.getSearchCursor(query, Pos(cm.firstLine(), 0));\n if (cur.findNext())\n cm.addSelection(cur.from(), cur.to());\n }\n }\n if (fullWord)\n cm.state.sublimeFindFullWord = cm.doc.sel;\n };\n\n var mirror = \"(){}[]\";\n function selectBetweenBrackets(cm) {\n var pos = cm.getCursor(), opening = cm.scanForBracket(pos, -1);\n if (!opening) return;\n for (;;) {\n var closing = cm.scanForBracket(pos, 1);\n if (!closing) return;\n if (closing.ch == mirror.charAt(mirror.indexOf(opening.ch) + 1)) {\n cm.setSelection(Pos(opening.pos.line, opening.pos.ch + 1), closing.pos, false);\n return true;\n }\n pos = Pos(closing.pos.line, closing.pos.ch + 1);\n }\n }\n\n cmds[map[\"Shift-\" + ctrl + \"Space\"] = \"selectScope\"] = function(cm) {\n selectBetweenBrackets(cm) || cm.execCommand(\"selectAll\");\n };\n cmds[map[\"Shift-\" + ctrl + \"M\"] = \"selectBetweenBrackets\"] = function(cm) {\n if (!selectBetweenBrackets(cm)) return CodeMirror.Pass;\n };\n\n cmds[map[ctrl + \"M\"] = \"goToBracket\"] = function(cm) {\n cm.extendSelectionsBy(function(range) {\n var next = cm.scanForBracket(range.head, 1);\n if (next && CodeMirror.cmpPos(next.pos, range.head) != 0) return next.pos;\n var prev = cm.scanForBracket(range.head, -1);\n return prev && Pos(prev.pos.line, prev.pos.ch + 1) || range.head;\n });\n };\n\n cmds[map[\"Shift-\" + ctrl + \"Up\"] = \"swapLineUp\"] = function(cm) {\n var ranges = cm.listSelections(), linesToMove = [], at = cm.firstLine() - 1;\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i], from = range.from().line - 1, to = range.to().line;\n if (from > at) linesToMove.push(from, to);\n else if (linesToMove.length) linesToMove[linesToMove.length - 1] = to;\n at = to;\n }\n cm.operation(function() {\n for (var i = 0; i < linesToMove.length; i += 2) {\n var from = linesToMove[i], to = linesToMove[i + 1];\n var line = cm.getLine(from);\n cm.replaceRange(\"\", Pos(from, 0), Pos(from + 1, 0), \"+swapLine\");\n if (to > cm.lastLine()) {\n cm.replaceRange(\"\\n\" + line, Pos(cm.lastLine()), null, \"+swapLine\");\n var sels = cm.listSelections(), last = sels[sels.length - 1];\n var head = last.head.line == to ? Pos(to - 1) : last.head;\n var anchor = last.anchor.line == to ? Pos(to - 1) : last.anchor;\n cm.setSelections(sels.slice(0, sels.length - 1).concat([{head: head, anchor: anchor}]));\n } else {\n cm.replaceRange(line + \"\\n\", Pos(to, 0), null, \"+swapLine\");\n }\n }\n cm.scrollIntoView();\n });\n };\n\n cmds[map[\"Shift-\" + ctrl + \"Down\"] = \"swapLineDown\"] = function(cm) {\n var ranges = cm.listSelections(), linesToMove = [], at = cm.lastLine() + 1;\n for (var i = ranges.length - 1; i >= 0; i--) {\n var range = ranges[i], from = range.to().line + 1, to = range.from().line;\n if (from < at) linesToMove.push(from, to);\n else if (linesToMove.length) linesToMove[linesToMove.length - 1] = to;\n at = to;\n }\n cm.operation(function() {\n for (var i = linesToMove.length - 2; i >= 0; i -= 2) {\n var from = linesToMove[i], to = linesToMove[i + 1];\n var line = cm.getLine(from);\n if (from == cm.lastLine())\n cm.replaceRange(\"\", Pos(from - 1), Pos(from), \"+swapLine\");\n else\n cm.replaceRange(\"\", Pos(from, 0), Pos(from + 1, 0), \"+swapLine\");\n cm.replaceRange(line + \"\\n\", Pos(to, 0), null, \"+swapLine\");\n }\n cm.scrollIntoView();\n });\n };\n\n map[ctrl + \"/\"] = \"toggleComment\";\n\n cmds[map[ctrl + \"J\"] = \"joinLines\"] = function(cm) {\n var ranges = cm.listSelections(), joined = [];\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i], from = range.from();\n var start = from.line, end = range.to().line;\n while (i < ranges.length - 1 && ranges[i + 1].from().line == end)\n end = ranges[++i].to().line;\n joined.push({start: start, end: end, anchor: !range.empty() && from});\n }\n cm.operation(function() {\n var offset = 0, ranges = [];\n for (var i = 0; i < joined.length; i++) {\n var obj = joined[i];\n var anchor = obj.anchor && Pos(obj.anchor.line - offset, obj.anchor.ch), head;\n for (var line = obj.start; line <= obj.end; line++) {\n var actual = line - offset;\n if (line == obj.end) head = Pos(actual, cm.getLine(actual).length + 1);\n if (actual < cm.lastLine()) {\n cm.replaceRange(\" \", Pos(actual), Pos(actual + 1, /^\\s*/.exec(cm.getLine(actual + 1))[0].length));\n ++offset;\n }\n }\n ranges.push({anchor: anchor || head, head: head});\n }\n cm.setSelections(ranges, 0);\n });\n };\n\n cmds[map[\"Shift-\" + ctrl + \"D\"] = \"duplicateLine\"] = function(cm) {\n cm.operation(function() {\n var rangeCount = cm.listSelections().length;\n for (var i = 0; i < rangeCount; i++) {\n var range = cm.listSelections()[i];\n if (range.empty())\n cm.replaceRange(cm.getLine(range.head.line) + \"\\n\", Pos(range.head.line, 0));\n else\n cm.replaceRange(cm.getRange(range.from(), range.to()), range.from());\n }\n cm.scrollIntoView();\n });\n };\n\n map[ctrl + \"T\"] = \"transposeChars\";\n\n function sortLines(cm, caseSensitive) {\n var ranges = cm.listSelections(), toSort = [], selected;\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n if (range.empty()) continue;\n var from = range.from().line, to = range.to().line;\n while (i < ranges.length - 1 && ranges[i + 1].from().line == to)\n to = range[++i].to().line;\n toSort.push(from, to);\n }\n if (toSort.length) selected = true;\n else toSort.push(cm.firstLine(), cm.lastLine());\n\n cm.operation(function() {\n var ranges = [];\n for (var i = 0; i < toSort.length; i += 2) {\n var from = toSort[i], to = toSort[i + 1];\n var start = Pos(from, 0), end = Pos(to);\n var lines = cm.getRange(start, end, false);\n if (caseSensitive)\n lines.sort();\n else\n lines.sort(function(a, b) {\n var au = a.toUpperCase(), bu = b.toUpperCase();\n if (au != bu) { a = au; b = bu; }\n return a < b ? -1 : a == b ? 0 : 1;\n });\n cm.replaceRange(lines, start, end);\n if (selected) ranges.push({anchor: start, head: end});\n }\n if (selected) cm.setSelections(ranges, 0);\n });\n }\n\n cmds[map[\"F9\"] = \"sortLines\"] = function(cm) { sortLines(cm, true); };\n cmds[map[ctrl + \"F9\"] = \"sortLinesInsensitive\"] = function(cm) { sortLines(cm, false); };\n\n cmds[map[\"F2\"] = \"nextBookmark\"] = function(cm) {\n var marks = cm.state.sublimeBookmarks;\n if (marks) while (marks.length) {\n var current = marks.shift();\n var found = current.find();\n if (found) {\n marks.push(current);\n return cm.setSelection(found.from, found.to);\n }\n }\n };\n\n cmds[map[\"Shift-F2\"] = \"prevBookmark\"] = function(cm) {\n var marks = cm.state.sublimeBookmarks;\n if (marks) while (marks.length) {\n marks.unshift(marks.pop());\n var found = marks[marks.length - 1].find();\n if (!found)\n marks.pop();\n else\n return cm.setSelection(found.from, found.to);\n }\n };\n\n cmds[map[ctrl + \"F2\"] = \"toggleBookmark\"] = function(cm) {\n var ranges = cm.listSelections();\n var marks = cm.state.sublimeBookmarks || (cm.state.sublimeBookmarks = []);\n for (var i = 0; i < ranges.length; i++) {\n var from = ranges[i].from(), to = ranges[i].to();\n var found = cm.findMarks(from, to);\n for (var j = 0; j < found.length; j++) {\n if (found[j].sublimeBookmark) {\n found[j].clear();\n for (var k = 0; k < marks.length; k++)\n if (marks[k] == found[j])\n marks.splice(k--, 1);\n break;\n }\n }\n if (j == found.length)\n marks.push(cm.markText(from, to, {sublimeBookmark: true, clearWhenEmpty: false}));\n }\n };\n\n cmds[map[\"Shift-\" + ctrl + \"F2\"] = \"clearBookmarks\"] = function(cm) {\n var marks = cm.state.sublimeBookmarks;\n if (marks) for (var i = 0; i < marks.length; i++) marks[i].clear();\n marks.length = 0;\n };\n\n cmds[map[\"Alt-F2\"] = \"selectBookmarks\"] = function(cm) {\n var marks = cm.state.sublimeBookmarks, ranges = [];\n if (marks) for (var i = 0; i < marks.length; i++) {\n var found = marks[i].find();\n if (!found)\n marks.splice(i--, 0);\n else\n ranges.push({anchor: found.from, head: found.to});\n }\n if (ranges.length)\n cm.setSelections(ranges, 0);\n };\n\n map[\"Alt-Q\"] = \"wrapLines\";\n\n var mapK = CodeMirror.keyMap[\"sublime-Ctrl-K\"] = {auto: \"sublime\", nofallthrough: true};\n\n map[ctrl + \"K\"] = function(cm) {cm.setOption(\"keyMap\", \"sublime-Ctrl-K\");};\n\n function modifyWordOrSelection(cm, mod) {\n cm.operation(function() {\n var ranges = cm.listSelections(), indices = [], replacements = [];\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n if (range.empty()) { indices.push(i); replacements.push(\"\"); }\n else replacements.push(mod(cm.getRange(range.from(), range.to())));\n }\n cm.replaceSelections(replacements, \"around\", \"case\");\n for (var i = indices.length - 1, at; i >= 0; i--) {\n var range = ranges[indices[i]];\n if (at && CodeMirror.cmpPos(range.head, at) > 0) continue;\n var word = wordAt(cm, range.head);\n at = word.from;\n cm.replaceRange(mod(word.word), word.from, word.to);\n }\n });\n }\n\n mapK[ctrl + \"Backspace\"] = \"delLineLeft\";\n\n cmds[mapK[ctrl + \"K\"] = \"delLineRight\"] = function(cm) {\n cm.operation(function() {\n var ranges = cm.listSelections();\n for (var i = ranges.length - 1; i >= 0; i--)\n cm.replaceRange(\"\", ranges[i].anchor, Pos(ranges[i].to().line), \"+delete\");\n cm.scrollIntoView();\n });\n };\n\n cmds[mapK[ctrl + \"U\"] = \"upcaseAtCursor\"] = function(cm) {\n modifyWordOrSelection(cm, function(str) { return str.toUpperCase(); });\n };\n cmds[mapK[ctrl + \"L\"] = \"downcaseAtCursor\"] = function(cm) {\n modifyWordOrSelection(cm, function(str) { return str.toLowerCase(); });\n };\n\n cmds[mapK[ctrl + \"Space\"] = \"setSublimeMark\"] = function(cm) {\n if (cm.state.sublimeMark) cm.state.sublimeMark.clear();\n cm.state.sublimeMark = cm.setBookmark(cm.getCursor());\n };\n cmds[mapK[ctrl + \"A\"] = \"selectToSublimeMark\"] = function(cm) {\n var found = cm.state.sublimeMark && cm.state.sublimeMark.find();\n if (found) cm.setSelection(cm.getCursor(), found);\n };\n cmds[mapK[ctrl + \"W\"] = \"deleteToSublimeMark\"] = function(cm) {\n var found = cm.state.sublimeMark && cm.state.sublimeMark.find();\n if (found) {\n var from = cm.getCursor(), to = found;\n if (CodeMirror.cmpPos(from, to) > 0) { var tmp = to; to = from; from = tmp; }\n cm.state.sublimeKilled = cm.getRange(from, to);\n cm.replaceRange(\"\", from, to);\n }\n };\n cmds[mapK[ctrl + \"X\"] = \"swapWithSublimeMark\"] = function(cm) {\n var found = cm.state.sublimeMark && cm.state.sublimeMark.find();\n if (found) {\n cm.state.sublimeMark.clear();\n cm.state.sublimeMark = cm.setBookmark(cm.getCursor());\n cm.setCursor(found);\n }\n };\n cmds[mapK[ctrl + \"Y\"] = \"sublimeYank\"] = function(cm) {\n if (cm.state.sublimeKilled != null)\n cm.replaceSelection(cm.state.sublimeKilled, null, \"paste\");\n };\n\n mapK[ctrl + \"G\"] = \"clearBookmarks\";\n cmds[mapK[ctrl + \"C\"] = \"showInCenter\"] = function(cm) {\n var pos = cm.cursorCoords(null, \"local\");\n cm.scrollTo(null, (pos.top + pos.bottom) / 2 - cm.getScrollInfo().clientHeight / 2);\n };\n\n cmds[map[\"Shift-Alt-Up\"] = \"selectLinesUpward\"] = function(cm) {\n cm.operation(function() {\n var ranges = cm.listSelections();\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n if (range.head.line > cm.firstLine())\n cm.addSelection(Pos(range.head.line - 1, range.head.ch));\n }\n });\n };\n cmds[map[\"Shift-Alt-Down\"] = \"selectLinesDownward\"] = function(cm) {\n cm.operation(function() {\n var ranges = cm.listSelections();\n for (var i = 0; i < ranges.length; i++) {\n var range = ranges[i];\n if (range.head.line < cm.lastLine())\n cm.addSelection(Pos(range.head.line + 1, range.head.ch));\n }\n });\n };\n\n function findAndGoTo(cm, forward) {\n var from = cm.getCursor(\"from\"), to = cm.getCursor(\"to\");\n if (CodeMirror.cmpPos(from, to) == 0) {\n var word = wordAt(cm, from);\n if (!word.word) return;\n from = word.from;\n to = word.to;\n }\n\n var query = cm.getRange(from, to);\n var cur = cm.getSearchCursor(query, forward ? to : from);\n\n if (forward ? cur.findNext() : cur.findPrevious()) {\n cm.setSelection(cur.from(), cur.to());\n } else {\n cur = cm.getSearchCursor(query, forward ? Pos(cm.firstLine(), 0)\n : cm.clipPos(Pos(cm.lastLine())));\n if (forward ? cur.findNext() : cur.findPrevious())\n cm.setSelection(cur.from(), cur.to());\n else if (word)\n cm.setSelection(from, to);\n }\n };\n cmds[map[ctrl + \"F3\"] = \"findUnder\"] = function(cm) { findAndGoTo(cm, true); };\n cmds[map[\"Shift-\" + ctrl + \"F3\"] = \"findUnderPrevious\"] = function(cm) { findAndGoTo(cm,false); };\n\n map[\"Shift-\" + ctrl + \"[\"] = \"fold\";\n map[\"Shift-\" + ctrl + \"]\"] = \"unfold\";\n mapK[ctrl + \"0\"] = mapK[ctrl + \"j\"] = \"unfoldAll\";\n\n map[ctrl + \"I\"] = \"findIncremental\";\n map[\"Shift-\" + ctrl + \"I\"] = \"findIncrementalReverse\";\n map[ctrl + \"H\"] = \"replace\";\n map[\"F3\"] = \"findNext\";\n map[\"Shift-F3\"] = \"findPrev\";\n\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/keymap/emacs.js": {
"type": "application/javascript",
"title": "$:/plugins/tiddlywiki/codemirror/keymap/emacs.js",
"module-type": "library",
"text": "(function(mod) {\n if (typeof exports == \"object\" && typeof module == \"object\") // CommonJS\n mod(require(\"../lib/codemirror\"));\n else if (typeof define == \"function\" && define.amd) // AMD\n define([\"../lib/codemirror\"], mod);\n else // Plain browser env\n mod(CodeMirror);\n})(function(CodeMirror) {\n \"use strict\";\n\n var Pos = CodeMirror.Pos;\n function posEq(a, b) { return a.line == b.line && a.ch == b.ch; }\n\n // Kill 'ring'\n\n var killRing = [];\n function addToRing(str) {\n killRing.push(str);\n if (killRing.length > 50) killRing.shift();\n }\n function growRingTop(str) {\n if (!killRing.length) return addToRing(str);\n killRing[killRing.length - 1] += str;\n }\n function getFromRing(n) { return killRing[killRing.length - (n ? Math.min(n, 1) : 1)] || \"\"; }\n function popFromRing() { if (killRing.length > 1) killRing.pop(); return getFromRing(); }\n\n var lastKill = null;\n\n function kill(cm, from, to, mayGrow, text) {\n if (text == null) text = cm.getRange(from, to);\n\n if (mayGrow && lastKill && lastKill.cm == cm && posEq(from, lastKill.pos) && cm.isClean(lastKill.gen))\n growRingTop(text);\n else\n addToRing(text);\n cm.replaceRange(\"\", from, to, \"+delete\");\n\n if (mayGrow) lastKill = {cm: cm, pos: from, gen: cm.changeGeneration()};\n else lastKill = null;\n }\n\n // Boundaries of various units\n\n function byChar(cm, pos, dir) {\n return cm.findPosH(pos, dir, \"char\", true);\n }\n\n function byWord(cm, pos, dir) {\n return cm.findPosH(pos, dir, \"word\", true);\n }\n\n function byLine(cm, pos, dir) {\n return cm.findPosV(pos, dir, \"line\", cm.doc.sel.goalColumn);\n }\n\n function byPage(cm, pos, dir) {\n return cm.findPosV(pos, dir, \"page\", cm.doc.sel.goalColumn);\n }\n\n function byParagraph(cm, pos, dir) {\n var no = pos.line, line = cm.getLine(no);\n var sawText = /\\S/.test(dir < 0 ? line.slice(0, pos.ch) : line.slice(pos.ch));\n var fst = cm.firstLine(), lst = cm.lastLine();\n for (;;) {\n no += dir;\n if (no < fst || no > lst)\n return cm.clipPos(Pos(no - dir, dir < 0 ? 0 : null));\n line = cm.getLine(no);\n var hasText = /\\S/.test(line);\n if (hasText) sawText = true;\n else if (sawText) return Pos(no, 0);\n }\n }\n\n function bySentence(cm, pos, dir) {\n var line = pos.line, ch = pos.ch;\n var text = cm.getLine(pos.line), sawWord = false;\n for (;;) {\n var next = text.charAt(ch + (dir < 0 ? -1 : 0));\n if (!next) { // End/beginning of line reached\n if (line == (dir < 0 ? cm.firstLine() : cm.lastLine())) return Pos(line, ch);\n text = cm.getLine(line + dir);\n if (!/\\S/.test(text)) return Pos(line, ch);\n line += dir;\n ch = dir < 0 ? text.length : 0;\n continue;\n }\n if (sawWord && /[!?.]/.test(next)) return Pos(line, ch + (dir > 0 ? 1 : 0));\n if (!sawWord) sawWord = /\\w/.test(next);\n ch += dir;\n }\n }\n\n function byExpr(cm, pos, dir) {\n var wrap;\n if (cm.findMatchingBracket && (wrap = cm.findMatchingBracket(pos, true))\n && wrap.match && (wrap.forward ? 1 : -1) == dir)\n return dir > 0 ? Pos(wrap.to.line, wrap.to.ch + 1) : wrap.to;\n\n for (var first = true;; first = false) {\n var token = cm.getTokenAt(pos);\n var after = Pos(pos.line, dir < 0 ? token.start : token.end);\n if (first && dir > 0 && token.end == pos.ch || !/\\w/.test(token.string)) {\n var newPos = cm.findPosH(after, dir, \"char\");\n if (posEq(after, newPos)) return pos;\n else pos = newPos;\n } else {\n return after;\n }\n }\n }\n\n // Prefixes (only crudely supported)\n\n function getPrefix(cm, precise) {\n var digits = cm.state.emacsPrefix;\n if (!digits) return precise ? null : 1;\n clearPrefix(cm);\n return digits == \"-\" ? -1 : Number(digits);\n }\n\n function repeated(cmd) {\n var f = typeof cmd == \"string\" ? function(cm) { cm.execCommand(cmd); } : cmd;\n return function(cm) {\n var prefix = getPrefix(cm);\n f(cm);\n for (var i = 1; i < prefix; ++i) f(cm);\n };\n }\n\n function findEnd(cm, by, dir) {\n var pos = cm.getCursor(), prefix = getPrefix(cm);\n if (prefix < 0) { dir = -dir; prefix = -prefix; }\n for (var i = 0; i < prefix; ++i) {\n var newPos = by(cm, pos, dir);\n if (posEq(newPos, pos)) break;\n pos = newPos;\n }\n return pos;\n }\n\n function move(by, dir) {\n var f = function(cm) {\n cm.extendSelection(findEnd(cm, by, dir));\n };\n f.motion = true;\n return f;\n }\n\n function killTo(cm, by, dir) {\n kill(cm, cm.getCursor(), findEnd(cm, by, dir), true);\n }\n\n function addPrefix(cm, digit) {\n if (cm.state.emacsPrefix) {\n if (digit != \"-\") cm.state.emacsPrefix += digit;\n return;\n }\n // Not active yet\n cm.state.emacsPrefix = digit;\n cm.on(\"keyHandled\", maybeClearPrefix);\n cm.on(\"inputRead\", maybeDuplicateInput);\n }\n\n var prefixPreservingKeys = {\"Alt-G\": true, \"Ctrl-X\": true, \"Ctrl-Q\": true, \"Ctrl-U\": true};\n\n function maybeClearPrefix(cm, arg) {\n if (!cm.state.emacsPrefixMap && !prefixPreservingKeys.hasOwnProperty(arg))\n clearPrefix(cm);\n }\n\n function clearPrefix(cm) {\n cm.state.emacsPrefix = null;\n cm.off(\"keyHandled\", maybeClearPrefix);\n cm.off(\"inputRead\", maybeDuplicateInput);\n }\n\n function maybeDuplicateInput(cm, event) {\n var dup = getPrefix(cm);\n if (dup > 1 && event.origin == \"+input\") {\n var one = event.text.join(\"\\n\"), txt = \"\";\n for (var i = 1; i < dup; ++i) txt += one;\n cm.replaceSelection(txt);\n }\n }\n\n function addPrefixMap(cm) {\n cm.state.emacsPrefixMap = true;\n cm.addKeyMap(prefixMap);\n cm.on(\"keyHandled\", maybeRemovePrefixMap);\n cm.on(\"inputRead\", maybeRemovePrefixMap);\n }\n\n function maybeRemovePrefixMap(cm, arg) {\n if (typeof arg == \"string\" && (/^\\d$/.test(arg) || arg == \"Ctrl-U\")) return;\n cm.removeKeyMap(prefixMap);\n cm.state.emacsPrefixMap = false;\n cm.off(\"keyHandled\", maybeRemovePrefixMap);\n cm.off(\"inputRead\", maybeRemovePrefixMap);\n }\n\n // Utilities\n\n function setMark(cm) {\n cm.setCursor(cm.getCursor());\n cm.setExtending(!cm.getExtending());\n cm.on(\"change\", function() { cm.setExtending(false); });\n }\n\n function clearMark(cm) {\n cm.setExtending(false);\n cm.setCursor(cm.getCursor());\n }\n\n function getInput(cm, msg, f) {\n if (cm.openDialog)\n cm.openDialog(msg + \": <input type=\\\"text\\\" style=\\\"width: 10em\\\"/>\", f, {bottom: true});\n else\n f(prompt(msg, \"\"));\n }\n\n function operateOnWord(cm, op) {\n var start = cm.getCursor(), end = cm.findPosH(start, 1, \"word\");\n cm.replaceRange(op(cm.getRange(start, end)), start, end);\n cm.setCursor(end);\n }\n\n function toEnclosingExpr(cm) {\n var pos = cm.getCursor(), line = pos.line, ch = pos.ch;\n var stack = [];\n while (line >= cm.firstLine()) {\n var text = cm.getLine(line);\n for (var i = ch == null ? text.length : ch; i > 0;) {\n var ch = text.charAt(--i);\n if (ch == \")\")\n stack.push(\"(\");\n else if (ch == \"]\")\n stack.push(\"[\");\n else if (ch == \"}\")\n stack.push(\"{\");\n else if (/[\\(\\{\\[]/.test(ch) && (!stack.length || stack.pop() != ch))\n return cm.extendSelection(Pos(line, i));\n }\n --line; ch = null;\n }\n }\n\n function quit(cm) {\n cm.execCommand(\"clearSearch\");\n clearMark(cm);\n }\n\n // Actual keymap\n\n var keyMap = CodeMirror.keyMap.emacs = {\n \"Ctrl-W\": function(cm) {kill(cm, cm.getCursor(\"start\"), cm.getCursor(\"end\"));},\n \"Ctrl-K\": repeated(function(cm) {\n var start = cm.getCursor(), end = cm.clipPos(Pos(start.line));\n var text = cm.getRange(start, end);\n if (!/\\S/.test(text)) {\n text += \"\\n\";\n end = Pos(start.line + 1, 0);\n }\n kill(cm, start, end, true, text);\n }),\n \"Alt-W\": function(cm) {\n addToRing(cm.getSelection());\n clearMark(cm);\n },\n \"Ctrl-Y\": function(cm) {\n var start = cm.getCursor();\n cm.replaceRange(getFromRing(getPrefix(cm)), start, start, \"paste\");\n cm.setSelection(start, cm.getCursor());\n },\n \"Alt-Y\": function(cm) {cm.replaceSelection(popFromRing(), \"around\", \"paste\");},\n\n \"Ctrl-Space\": setMark, \"Ctrl-Shift-2\": setMark,\n\n \"Ctrl-F\": move(byChar, 1), \"Ctrl-B\": move(byChar, -1),\n \"Right\": move(byChar, 1), \"Left\": move(byChar, -1),\n \"Ctrl-D\": function(cm) { killTo(cm, byChar, 1); },\n \"Delete\": function(cm) { killTo(cm, byChar, 1); },\n \"Ctrl-H\": function(cm) { killTo(cm, byChar, -1); },\n \"Backspace\": function(cm) { killTo(cm, byChar, -1); },\n\n \"Alt-F\": move(byWord, 1), \"Alt-B\": move(byWord, -1),\n \"Alt-D\": function(cm) { killTo(cm, byWord, 1); },\n \"Alt-Backspace\": function(cm) { killTo(cm, byWord, -1); },\n\n \"Ctrl-N\": move(byLine, 1), \"Ctrl-P\": move(byLine, -1),\n \"Down\": move(byLine, 1), \"Up\": move(byLine, -1),\n \"Ctrl-A\": \"goLineStart\", \"Ctrl-E\": \"goLineEnd\",\n \"End\": \"goLineEnd\", \"Home\": \"goLineStart\",\n\n \"Alt-V\": move(byPage, -1), \"Ctrl-V\": move(byPage, 1),\n \"PageUp\": move(byPage, -1), \"PageDown\": move(byPage, 1),\n\n \"Ctrl-Up\": move(byParagraph, -1), \"Ctrl-Down\": move(byParagraph, 1),\n\n \"Alt-A\": move(bySentence, -1), \"Alt-E\": move(bySentence, 1),\n \"Alt-K\": function(cm) { killTo(cm, bySentence, 1); },\n\n \"Ctrl-Alt-K\": function(cm) { killTo(cm, byExpr, 1); },\n \"Ctrl-Alt-Backspace\": function(cm) { killTo(cm, byExpr, -1); },\n \"Ctrl-Alt-F\": move(byExpr, 1), \"Ctrl-Alt-B\": move(byExpr, -1),\n\n \"Shift-Ctrl-Alt-2\": function(cm) {\n cm.setSelection(findEnd(cm, byExpr, 1), cm.getCursor());\n },\n \"Ctrl-Alt-T\": function(cm) {\n var leftStart = byExpr(cm, cm.getCursor(), -1), leftEnd = byExpr(cm, leftStart, 1);\n var rightEnd = byExpr(cm, leftEnd, 1), rightStart = byExpr(cm, rightEnd, -1);\n cm.replaceRange(cm.getRange(rightStart, rightEnd) + cm.getRange(leftEnd, rightStart) +\n cm.getRange(leftStart, leftEnd), leftStart, rightEnd);\n },\n \"Ctrl-Alt-U\": repeated(toEnclosingExpr),\n\n \"Alt-Space\": function(cm) {\n var pos = cm.getCursor(), from = pos.ch, to = pos.ch, text = cm.getLine(pos.line);\n while (from && /\\s/.test(text.charAt(from - 1))) --from;\n while (to < text.length && /\\s/.test(text.charAt(to))) ++to;\n cm.replaceRange(\" \", Pos(pos.line, from), Pos(pos.line, to));\n },\n \"Ctrl-O\": repeated(function(cm) { cm.replaceSelection(\"\\n\", \"start\"); }),\n \"Ctrl-T\": repeated(function(cm) {\n cm.execCommand(\"transposeChars\");\n }),\n\n \"Alt-C\": repeated(function(cm) {\n operateOnWord(cm, function(w) {\n var letter = w.search(/\\w/);\n if (letter == -1) return w;\n return w.slice(0, letter) + w.charAt(letter).toUpperCase() + w.slice(letter + 1).toLowerCase();\n });\n }),\n \"Alt-U\": repeated(function(cm) {\n operateOnWord(cm, function(w) { return w.toUpperCase(); });\n }),\n \"Alt-L\": repeated(function(cm) {\n operateOnWord(cm, function(w) { return w.toLowerCase(); });\n }),\n\n \"Alt-;\": \"toggleComment\",\n\n \"Ctrl-/\": repeated(\"undo\"), \"Shift-Ctrl--\": repeated(\"undo\"),\n \"Ctrl-Z\": repeated(\"undo\"), \"Cmd-Z\": repeated(\"undo\"),\n \"Shift-Alt-,\": \"goDocStart\", \"Shift-Alt-.\": \"goDocEnd\",\n \"Ctrl-S\": \"findNext\", \"Ctrl-R\": \"findPrev\", \"Ctrl-G\": quit, \"Shift-Alt-5\": \"replace\",\n \"Alt-/\": \"autocomplete\",\n \"Ctrl-J\": \"newlineAndIndent\", \"Enter\": false, \"Tab\": \"indentAuto\",\n\n \"Alt-G\": function(cm) {cm.setOption(\"keyMap\", \"emacs-Alt-G\");},\n \"Ctrl-X\": function(cm) {cm.setOption(\"keyMap\", \"emacs-Ctrl-X\");},\n \"Ctrl-Q\": function(cm) {cm.setOption(\"keyMap\", \"emacs-Ctrl-Q\");},\n \"Ctrl-U\": addPrefixMap\n };\n\n CodeMirror.keyMap[\"emacs-Ctrl-X\"] = {\n \"Tab\": function(cm) {\n cm.indentSelection(getPrefix(cm, true) || cm.getOption(\"indentUnit\"));\n },\n \"Ctrl-X\": function(cm) {\n cm.setSelection(cm.getCursor(\"head\"), cm.getCursor(\"anchor\"));\n },\n\n \"Ctrl-S\": \"save\", \"Ctrl-W\": \"save\", \"S\": \"saveAll\", \"F\": \"open\", \"U\": repeated(\"undo\"), \"K\": \"close\",\n \"Delete\": function(cm) { kill(cm, cm.getCursor(), bySentence(cm, cm.getCursor(), 1), true); },\n auto: \"emacs\", nofallthrough: true, disableInput: true\n };\n\n CodeMirror.keyMap[\"emacs-Alt-G\"] = {\n \"G\": function(cm) {\n var prefix = getPrefix(cm, true);\n if (prefix != null && prefix > 0) return cm.setCursor(prefix - 1);\n\n getInput(cm, \"Goto line\", function(str) {\n var num;\n if (str && !isNaN(num = Number(str)) && num == num|0 && num > 0)\n cm.setCursor(num - 1);\n });\n },\n auto: \"emacs\", nofallthrough: true, disableInput: true\n };\n\n CodeMirror.keyMap[\"emacs-Ctrl-Q\"] = {\n \"Tab\": repeated(\"insertTab\"),\n auto: \"emacs\", nofallthrough: true\n };\n\n var prefixMap = {\"Ctrl-G\": clearPrefix};\n function regPrefix(d) {\n prefixMap[d] = function(cm) { addPrefix(cm, d); };\n keyMap[\"Ctrl-\" + d] = function(cm) { addPrefix(cm, d); };\n prefixPreservingKeys[\"Ctrl-\" + d] = true;\n }\n for (var i = 0; i < 10; ++i) regPrefix(String(i));\n regPrefix(\"-\");\n});\n"
},
"$:/plugins/tiddlywiki/codemirror/readme": {
"title": "$:/plugins/tiddlywiki/codemirror/readme",
"text": "The CodeMirror plugin brings many features:\n\n* Code colouring for many languages (see [[the official documentation here|http://codemirror.net/mode/index.html]])\n* Auto closing brackets and tags\n* Folding brackets, comments, and tags\n* Auto-completion \n\n! Setting ~CodeMirror Content Types\n\nYou can determine which tiddler content types are edited by the ~CodeMirror widget by creating or modifying special tiddlers whose prefix is comprised of the string `$:/config/EditorTypeMappings/` concatenated with the content type. The text of that tiddler gives the editor type to be used (eg, ''text'', ''bitmap'', ''codemirror'').\n\nThe current editor type mappings are shown in [[$:/ControlPanel]] under the \"Advanced\" tab.\n\n! ~CodeMirror Configuration\n\nYou can configure the ~CodeMirror plugin by creating a tiddler called [[$:/config/CodeMirror]] containing a JSON configuration object. The configuration tiddler must have its type field set to `application/json` to take effect.\n\nSee http://codemirror.net/ for details of available configuration options.\n\nFor example:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/dialog/dialog.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/search/searchcursor.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js\",\n \"$:/plugins/tiddlywiki/codemirror/keymap/vim.js\",\n \"$:/plugins/tiddlywiki/codemirror/keymap/emacs.js\"\n ],\n \"configuration\": {\n \"keyMap\": \"vim\",\n \"matchBrackets\":true,\n \"showCursorWhenSelecting\": true\n }\n}\n```\n\n!! Basic working configuration\n\n# Create a tiddler called `$:/config/CodeMirror`\n\n# The type of the tiddler has to be set to `application/json`\n\n# The text of the tiddler is the following: \n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js\"\n ],\n \"configuration\": {\n \"matchBrackets\":true,\n \"showCursorWhenSelecting\": true\n }\n}\n\n```\n\n# You should see line numbers when editing a tiddler\n# When editing a tiddler, no matter what the type of the tiddler is set to, you should see matching brackets being highlighted whenever the cursor is next to one of them\n# If you edit a tiddler with the type `application/javascript` or `application/json` you should see the code being syntax highlighted\n\n!! Add HTML syntax highlighting\n\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/mode/xml/xml.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[https://raw.githubusercontent.com/codemirror/CodeMirror/master/mode/xml/xml.js]]\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/mode/xml/xml.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js\"\n ],\n \"configuration\": {\n \"showCursorWhenSelecting\": true,\n \"matchBrackets\":true\n }\n}\n```\n# Edit a tiddler with the type `text/html` and write some html code. You should see your code being coloured\n\n!! Add a non-existing language mode\n\nHere's an example of adding a new language mode - in this case, the language C.\n\n\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/mode/clike/clike.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[https://raw.githubusercontent.com/codemirror/CodeMirror/master/mode/clike/clike.js]]\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/mode/clike/clike.js\"\n ],\n \"configuration\": {\n \"showCursorWhenSelecting\": true\n }\n}\n```\n\n# Add the correct ~EditorTypeMappings tiddler\n## Find the matching MIME type. If you go on the [[CodeMirror documentation for language modes|http://codemirror.net/mode/index.html]] you can see the [[documentation for the c-like mode|http://codemirror.net/mode/clike/index.html]]. In this documentation, at the end you will be told the MIME types defined. Here it's ''text/x-csrc''\n## Add the tiddler: `$:/config/EditorTypeMappings/text/x-csrc` and fill the text field with : ''codemirror''\n\nIf you edit a tiddler with the type `text/x-csrc` and write some code in C, you should see your text being coloured.\n\n!! Add matching tags\n\n# Add XML and HTML colouring\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/edit/matchtags.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[http://codemirror.net/addon/edit/matchtags.js]]\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/matchtags.js\",\n \"$:/plugins/tiddlywiki/codemirror/mode/xml/xml.js\"\n ],\n \"configuration\": {\n \"showCursorWhenSelecting\": true,\n \"matchTags\": {\"bothTags\": true},\n \"extraKeys\": {\"Ctrl-J\": \"toMatchingTag\"}\n }\n}\n```\n\nEdit a tiddler that has the type :`text/htm` and write this code:\n\n```\n<html>\n <div id=\"click here and press CTRL+J\">\n <ul>\n <li>\n </li>\n </ul>\n </div>\n</html>\n```\n\nIf you click on a tag and press CTRL+J, your cursor will select the matching tag. Supposedly, it should highlight the pair when clicking a tag. However, that part doesn't work.\n\n!! Adding closing tags\n\n# Add the xml mode (see \"Add XML and HTML colouring\")\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/edit/closetags.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[http://codemirror.net/addon/edit/closetag.js]]\n\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/mode/xml/xml.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/closetags.js\"\n ],\n \"configuration\": {\n \"showCursorWhenSelecting\": true,\n \"autoCloseTags\":true\n }\n}\n```\n\nIf you edit a tiddler with the type`text/html` and write:\n\n```\n<html>\n```\n\nThen the closing tag ''</html>'' should automatically appear.\n\n!! Add closing brackets\n\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/edit/closebrackets.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[http://codemirror.net/addon/edit/closebrackets.js]]\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/matchbrackets.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/edit/closebrackets.js\"\n ],\n\n \"configuration\": {\n\n \"showCursorWhenSelecting\": true,\n \"matchBrackets\":true,\n \"autoCloseBrackets\":true\n }\n}\n```\n\n# If you try to edit any tiddler and write `if(` you should see the bracket closing itself automatically (you will get \"if()\"). It works with (), [], and {}\n# If you try and edit a tiddler with the type `application/javascript`, it will auto-close `()`,`[]`,`{}`,`''` and `\"\"`\n\n!! Adding folding tags\n\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/fold/foldcode.js`\n## Add a field `module-type` and set it to ''library''\n## Set the field `type` to ''application/javascript''\n## Set the text field of the tiddler with the javascript code from this link : [[http://codemirror.net/addon/fold/foldcode.js]]\n# Repeat the above process for the following tiddlers, but replace the code with the one from the given link:\n## Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/fold/xml-fold.js`, the code can be found here [[https://raw.githubusercontent.com/codemirror/CodeMirror/master/addon/fold/xml-fold.js]]\n## Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/fold/foldgutter.js`, the code can be found here [[http://codemirror.net/addon/fold/foldgutter.js]]\n# Create a tiddler `$:/plugins/tiddlywiki/codemirror/addon/fold/foldgutter.css`\n## Add the tag ''$:/tags/Stylesheet''\n## Set the text field of the tiddler with the css code from this link : [[http://codemirror.net/addon/fold/foldgutter.css]]\n\n# Set the text field of the tiddler `$:/config/CodeMirror` to:\n\n```\n{\n \"require\": [\n \"$:/plugins/tiddlywiki/codemirror/mode/javascript/javascript.js\",\n \"$:/plugins/tiddlywiki/codemirror/mode/xml/xml.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/fold/foldcode.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/fold/xml-fold.js\",\n \"$:/plugins/tiddlywiki/codemirror/addon/fold/foldgutter.js\"\n ],\n \"configuration\": {\n \"showCursorWhenSelecting\": true,\n \"matchTags\": {\"bothTags\": true},\n \"foldGutter\": true,\n \"gutters\": [\"CodeMirror-linenumbers\", \"CodeMirror-foldgutter\"]\n }\n}\n\n```\n\nNow if you type the below code in a tiddler with the type `text/html`:\n\n```\n<html>\n <div>\n <ul>\n\n </ul>\n </div>\n</html>\n```\n\nYou should see little arrows just next to the line numbers. Clicking on it will have the effect to fold the code (or unfold it).\n"
},
"$:/plugins/tiddlywiki/codemirror/styles": {
"title": "$:/plugins/tiddlywiki/codemirror/styles",
"tags": "[[$:/tags/Stylesheet]]",
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"text": "Copyright (c) 2006, Ivan Sagalaev\nAll rights reserved.\nRedistribution and use in source and binary forms, with or without\nmodification, are permitted provided that the following conditions are met:\n\n * Redistributions of source code must retain the above copyright\n notice, this list of conditions and the following disclaimer.\n * Redistributions in binary form must reproduce the above copyright\n notice, this list of conditions and the following disclaimer in the\n documentation and/or other materials provided with the distribution.\n * Neither the name of highlight.js nor the names of its contributors\n may be used to endorse or promote products derived from this software\n without specific prior written permission.\n\nTHIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND ANY\nEXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED\nWARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE\nDISCLAIMED. IN NO EVENT SHALL THE REGENTS AND CONTRIBUTORS BE LIABLE FOR ANY\nDIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES\n(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;\nLOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND\nON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT\n(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS\nSOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.\n"
},
"$:/plugins/tiddlywiki/highlight/styles": {
"title": "$:/plugins/tiddlywiki/highlight/styles",
"tags": "[[$:/tags/Stylesheet]]",
"text": "\n/* Tomorrow Night Theme */\n/* http://jmblog.github.com/color-themes-for-google-code-highlightjs */\n/* Original theme - https://github.com/chriskempson/tomorrow-theme */\n/* http://jmblog.github.com/color-themes-for-google-code-highlightjs */\n.tomorrow-comment, pre .comment, pre .title {\n color: #969896;\n}\n\n.tomorrow-red, pre .variable, pre .attribute, pre .tag, pre .regexp, pre .ruby .constant, pre .xml .tag .title, pre .xml .pi, pre .xml .doctype, pre .html .doctype, pre .css .id, pre .css .class, pre .css .pseudo {\n color: #cc6666;\n}\n\n.tomorrow-orange, pre .number, pre .preprocessor, pre .pragma, pre .built_in, pre .literal, pre .params, pre .constant {\n color: #de935f;\n}\n\n.tomorrow-yellow, pre .ruby .class .title, pre .css .rules .attribute {\n color: #f0c674;\n}\n\n.tomorrow-green, pre .string, pre .value, pre .inheritance, pre .header, pre .ruby .symbol, pre .xml .cdata {\n color: #b5bd68;\n}\n\n.tomorrow-aqua, pre .css .hexcolor {\n color: #8abeb7;\n}\n\n.tomorrow-blue, pre .function, pre .python .decorator, pre .python .title, pre .ruby .function .title, pre .ruby .title .keyword, pre .perl .sub, pre .javascript .title, pre .coffeescript .title {\n color: #81a2be;\n}\n\n.tomorrow-purple, pre .keyword, pre .javascript .function {\n color: #b294bb;\n}\n\npre code {\n display: block;\n background: #1d1f21;\n color: #c5c8c6;\n padding: 0.5em;\n}\n\npre .coffeescript .javascript,\npre .javascript .xml,\npre .tex .formula,\npre .xml .javascript,\npre .xml .vbscript,\npre .xml .css,\npre .xml .cdata {\n opacity: 0.5;\n}\n"
}
}
}
{
"tiddlers": {
"$:/plugins/tiddlywiki/katex/fonts/KaTeX_AMS-Regular.woff": {
"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_AMS-Regular.woff",
"text": 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"
},
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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Bold.woff",
"text": 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"
},
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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Italic.woff",
"text": 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"
},
"$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Regular.woff": {
"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Regular.woff",
"text": 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"$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-BoldItalic.woff": {
"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-BoldItalic.woff",
"text": 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"
},
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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-Italic.woff",
"text": 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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-Regular.woff",
"text": 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"
},
"$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size1-Regular.woff": {
"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size1-Regular.woff",
"text": 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},
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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size2-Regular.woff",
"text": 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"
},
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"type": "application/font-woff",
"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size3-Regular.woff",
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"title": "$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size4-Regular.woff",
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mode\",this.lexer,i.position)}var l=i.result.position;var s;var p=i.numArgs+i.numOptionalArgs;if(p>0){var d=h.getGreediness(a);var n=[a];var o=[l];for(var w=0;w<p;w++){var k=i.argTypes&&i.argTypes[w];var u;if(w<i.numOptionalArgs){if(k){u=this.parseSpecialGroup(l,k,t,true)}else{u=this.parseOptionalGroup(l,t)}if(!u){n.push(null);o.push(l);continue}}else{if(k){u=this.parseSpecialGroup(l,k,t)}else{u=this.parseGroup(l,t)}if(!u){throw new r(\"Expected group after '\"+i.result.result+\"'\",this.lexer,l)}}var m;if(u.numArgs>0){var f=h.getGreediness(u.result.result);if(f>d){m=this.parseFunction(l,t)}else{throw new r(\"Got function '\"+u.result.result+\"' as \"+\"argument to function '\"+i.result.result+\"'\",this.lexer,u.result.position-1)}}else{m=u.result}n.push(m.result);o.push(m.position);l=m.position}n.push(o);s=h.funcs[a].handler.apply(this,n)}else{s=h.funcs[a].handler.apply(this,[a])}return new g(new c(s.type,s,t),l)}else{return i.result}}else{return null}};p.prototype.parseSpecialGroup=function(e,t,i,h){if(t===\"color\"||t===\"size\"){var a=this.lexer.lex(e,i);if(h&&a.text!==\"[\"){return null}this.expect(a,h?\"[\":\"{\");var l=this.lexer.lex(a.position,t);var s;if(t===\"color\"){s=l.text}else{s=l.data}var r=this.lexer.lex(l.position,i);this.expect(r,h?\"]\":\"}\");return new d(new g(new c(t,s,i),r.position),false)}else if(t===\"text\"){var p=this.lexer.lex(e,\"whitespace\");e=p.position}if(h){return this.parseOptionalGroup(e,t)}else{return this.parseGroup(e,t)}};p.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text===\"{\"){var h=this.parseExpression(i.position,t,false,\"}\");var a=this.lexer.lex(h.position,t);this.expect(a,\"}\");return new d(new g(new c(\"ordgroup\",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};p.prototype.parseOptionalGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text===\"[\"){var h=this.parseExpression(i.position,t,false,\"]\");var a=this.lexer.lex(h.position,t);this.expect(a,\"]\");return new d(new g(new c(\"ordgroup\",h.result,t),a.position),false)}else{return null}};p.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.text]){var a=h.funcs[i.text];var s=a.argTypes;if(s){s=s.slice();for(var r=0;r<s.length;r++){if(s[r]===\"original\"){s[r]=t}}}return new d(new g(i.text,i.position),true,a.allowedInText,a.numArgs,a.numOptionalArgs,s)}else if(l[t][i.text]){return new d(new g(new c(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};t.exports=p},{\"./Lexer\":2,\"./ParseError\":4,\"./functions\":12,\"./symbols\":14,\"./utils\":15}],6:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return w[k[this.id]]};h.prototype.sub=function(){return w[u[this.id]]};h.prototype.fracNum=function(){return w[m[this.id]]};h.prototype.fracDen=function(){return w[f[this.id]]};h.prototype.cramp=function(){return w[v[this.id]]};h.prototype.cls=function(){return n[this.size]+(this.cramped?\" cramped\":\" uncramped\")};h.prototype.reset=function(){return o[this.size]};var a=0;var l=1;var s=2;var r=3;var p=4;var c=5;var g=6;var d=7;var n=[\"displaystyle textstyle\",\"textstyle\",\"scriptstyle\",\"scriptscriptstyle\"];var o=[\"reset-textstyle\",\"reset-textstyle\",\"reset-scriptstyle\",\"reset-scriptscriptstyle\"];var w=[new h(a,0,1,false),new h(l,0,1,true),new h(s,1,1,false),new h(r,1,1,true),new h(p,2,.7,false),new h(c,2,.7,true),new h(g,3,.5,false),new h(d,3,.5,true)];var k=[p,c,p,c,g,d,g,d];var u=[c,c,c,c,d,d,d,d];var m=[s,r,p,c,g,d,g,d];var f=[r,r,c,c,d,d,d,d];var v=[l,l,r,r,c,c,d,d];t.exports={DISPLAY:w[a],TEXT:w[s],SCRIPT:w[p],SCRIPTSCRIPT:w[g]}},{}],7:[function(e,t,i){var h=e(\"./domTree\");var a=e(\"./fontMetrics\");var l=e(\"./symbols\");var s=function(e,t,i,s,r){if(l[i][e]&&l[i][e].replace){e=l[i][e].replace}var p=a.getCharacterMetrics(e,t);var c;if(p){c=new h.symbolNode(e,p.height,p.depth,p.italic,p.skew,r)}else{typeof console!==\"undefined\"&&console.warn(\"No character metrics for '\"+e+\"' in style '\"+t+\"'\");c=new h.symbolNode(e,0,0,0,0,r)}if(s){c.style.color=s}return c};var r=function(e,t,i,h){return s(e,\"Math-Italic\",t,i,h.concat([\"mathit\"]))};var p=function(e,t,i,h){if(l[t][e].font===\"main\"){return s(e,\"Main-Regular\",t,i,h)}else{return s(e,\"AMS-Regular\",t,i,h.concat([\"amsrm\"]))}};var c=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var g=function(e,t,i){var a=new h.span(e,t);c(a);if(i){a.style.color=i}return a};var d=function(e){var t=new h.documentFragment(e);c(t);return t};var n=function(e,t){var i=g([],[new h.symbolNode(\"\\u200b\")]);i.style.fontSize=t/e.style.sizeMultiplier+\"em\";var a=g([\"fontsize-ensurer\",\"reset-\"+e.size,\"size5\"],[i]);return a};var o=function(e,t,i,a){var l;var s;var r;if(t===\"individualShift\"){var p=e;e=[p[0]];l=-p[0].shift-p[0].elem.depth;s=l;for(r=1;r<p.length;r++){var c=-p[r].shift-s-p[r].elem.depth;var d=c-(p[r-1].elem.height+p[r-1].elem.depth);s=s+c;e.push({type:\"kern\",size:d});e.push(p[r])}}else if(t===\"top\"){var o=i;for(r=0;r<e.length;r++){if(e[r].type===\"kern\"){o-=e[r].size}else{o-=e[r].elem.height+e[r].elem.depth}}l=o}else if(t===\"bottom\"){l=-i}else if(t===\"shift\"){l=-e[0].elem.depth-i}else if(t===\"firstBaseline\"){l=-e[0].elem.depth}else{l=0}var w=0;for(r=0;r<e.length;r++){if(e[r].type===\"elem\"){w=Math.max(w,e[r].elem.maxFontSize)}}var k=n(a,w);var u=[];s=l;for(r=0;r<e.length;r++){if(e[r].type===\"kern\"){s+=e[r].size}else{var m=e[r].elem;var f=-m.depth-s;s+=m.height+m.depth;var v=g([],[k,m]);v.height-=f;v.depth+=f;v.style.top=f+\"em\";u.push(v)}}var y=g([\"baseline-fix\"],[k,new h.symbolNode(\"\\u200b\")]);u.push(y);var x=g([\"vlist\"],u);x.height=Math.max(s,x.height);x.depth=Math.max(-l,x.depth);return x};t.exports={makeSymbol:s,mathit:r,mathrm:p,makeSpan:g,makeFragment:d,makeVList:o}},{\"./domTree\":10,\"./fontMetrics\":11,\"./symbols\":14}],8:[function(e,t,i){var h=e(\"./Options\");var a=e(\"./ParseError\");var l=e(\"./Style\");var s=e(\"./buildCommon\");var r=e(\"./delimiter\");var p=e(\"./domTree\");var c=e(\"./fontMetrics\");var g=e(\"./utils\");var d=s.makeSpan;var n=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var l=e[a];h.push(y(l,t,i));i=l}return h};var o={mathord:\"mord\",textord:\"mord\",bin:\"mbin\",rel:\"mrel\",text:\"mord\",open:\"mopen\",close:\"mclose\",inner:\"minner\",frac:\"minner\",spacing:\"mord\",punct:\"mpunct\",ordgroup:\"mord\",op:\"mop\",katex:\"mord\",overline:\"mord\",rule:\"mord\",leftright:\"minner\",sqrt:\"mord\",accent:\"mord\"};var w=function(e){if(e==null){return o.mathord}else if(e.type===\"supsub\"){return w(e.value.base)}else if(e.type===\"llap\"||e.type===\"rlap\"){return w(e.value)}else if(e.type===\"color\"){return w(e.value.value)}else if(e.type===\"sizing\"){return w(e.value.value)}else if(e.type===\"styling\"){return w(e.value.value)}else if(e.type===\"delimsizing\"){return o[e.value.delimType]}else{return o[e.type]}};var k=function(e,t){if(!e){return false}else if(e.type===\"op\"){return e.value.limits&&t.style.size===l.DISPLAY.size}else if(e.type===\"accent\"){return m(e.value.base)}else{return null}};var u=function(e){if(!e){return false}else if(e.type===\"ordgroup\"){if(e.value.length===1){return u(e.value[0])}else{return e}}else if(e.type===\"color\"){if(e.value.value.length===1){return u(e.value.value[0])}else{return e}}else{return e}};var m=function(e){var t=u(e);return t.type===\"mathord\"||t.type===\"textord\"||t.type===\"bin\"||t.type===\"rel\"||t.type===\"inner\"||t.type===\"open\"||t.type===\"close\"||t.type===\"punct\"};var f={mathord:function(e,t,i){return s.mathit(e.value,e.mode,t.getColor(),[\"mord\"])},textord:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"mord\"])},bin:function(e,t,i){var h=\"mbin\";var a=i;while(a&&a.type==\"color\"){var l=a.value.value;a=l[l.length-1]}if(!i||g.contains([\"mbin\",\"mopen\",\"mrel\",\"mop\",\"mpunct\"],w(a))){e.type=\"textord\";h=\"mord\"}return s.mathrm(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"mrel\"])},open:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"mopen\"])},close:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"mclose\"])},inner:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"minner\"])},punct:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),[\"mpunct\"])},ordgroup:function(e,t,i){return d([\"mord\",t.style.cls()],n(e.value,t.reset()))},text:function(e,t,i){return d([\"text\",\"mord\",t.style.cls()],n(e.value.body,t.reset()))},color:function(e,t,i){var h=n(e.value.value,t.withColor(e.value.color),i);return new s.makeFragment(h)},supsub:function(e,t,i){if(k(e.value.base,t)){return f[e.value.base.type](e,t,i)}var h=y(e.value.base,t.reset());var a,r,g,n;if(e.value.sup){g=y(e.value.sup,t.withStyle(t.style.sup()));a=d([t.style.reset(),t.style.sup().cls()],[g])}if(e.value.sub){n=y(e.value.sub,t.withStyle(t.style.sub()));r=d([t.style.reset(),t.style.sub().cls()],[n])}var o,u;if(m(e.value.base)){o=0;u=0}else{o=h.height-c.metrics.supDrop;u=h.depth+c.metrics.subDrop}var v;if(t.style===l.DISPLAY){v=c.metrics.sup1}else if(t.style.cramped){v=c.metrics.sup3}else{v=c.metrics.sup2}var x=l.TEXT.sizeMultiplier*t.style.sizeMultiplier;var b=.5/c.metrics.ptPerEm/x+\"em\";var z;if(!e.value.sup){u=Math.max(u,c.metrics.sub1,n.height-.8*c.metrics.xHeight);z=s.makeVList([{type:\"elem\",elem:r}],\"shift\",u,t);z.children[0].style.marginRight=b;if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+\"em\"}}else if(!e.value.sub){o=Math.max(o,v,g.depth+.25*c.metrics.xHeight);z=s.makeVList([{type:\"elem\",elem:a}],\"shift\",-o,t);z.children[0].style.marginRight=b}else{o=Math.max(o,v,g.depth+.25*c.metrics.xHeight);u=Math.max(u,c.metrics.sub2);var S=c.metrics.defaultRuleThickness;if(o-g.depth-(n.height-u)<4*S){u=4*S-(o-g.depth)+n.height;var T=.8*c.metrics.xHeight-(o-g.depth);if(T>0){o+=T;u-=T}}z=s.makeVList([{type:\"elem\",elem:r,shift:u},{type:\"elem\",elem:a,shift:-o}],\"individualShift\",null,t);if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+\"em\"}z.children[0].style.marginRight=b;z.children[1].style.marginRight=b}return d([w(e.value.base)],[h,z])},genfrac:function(e,t,i){var h=t.style;if(e.value.size===\"display\"){h=l.DISPLAY}else if(e.value.size===\"text\"){h=l.TEXT}var a=h.fracNum();var p=h.fracDen();var g=y(e.value.numer,t.withStyle(a));var n=d([h.reset(),a.cls()],[g]);var o=y(e.value.denom,t.withStyle(p));var w=d([h.reset(),p.cls()],[o]);var k;if(e.value.hasBarLine){k=c.metrics.defaultRuleThickness/t.style.sizeMultiplier}else{k=0}var u;var m;var f;if(h.size===l.DISPLAY.size){u=c.metrics.num1;if(k>0){m=3*k}else{m=7*c.metrics.defaultRuleThickness}f=c.metrics.denom1}else{if(k>0){u=c.metrics.num2;m=k}else{u=c.metrics.num3;m=3*c.metrics.defaultRuleThickness}f=c.metrics.denom2}var v;if(k===0){var x=u-g.depth-(o.height-f);if(x<m){u+=.5*(m-x);f+=.5*(m-x)}v=s.makeVList([{type:\"elem\",elem:w,shift:f},{type:\"elem\",elem:n,shift:-u}],\"individualShift\",null,t)}else{var b=c.metrics.axisHeight;if(u-g.depth-(b+.5*k)<m){u+=m-(u-g.depth-(b+.5*k))}if(b-.5*k-(o.height-f)<m){f+=m-(b-.5*k-(o.height-f))}var z=d([t.style.reset(),l.TEXT.cls(),\"frac-line\"]);z.height=k;var S=-(b-.5*k);v=s.makeVList([{type:\"elem\",elem:w,shift:f},{type:\"elem\",elem:z,shift:S},{type:\"elem\",elem:n,shift:-u}],\"individualShift\",null,t)}v.height*=h.sizeMultiplier/t.style.sizeMultiplier;v.depth*=h.sizeMultiplier/t.style.sizeMultiplier;var T=[d([\"mfrac\"],[v])];var M;if(h.size===l.DISPLAY.size){M=c.metrics.delim1}else{M=c.metrics.getDelim2(h)}if(e.value.leftDelim!=null){T.unshift(r.customSizedDelim(e.value.leftDelim,M,true,t.withStyle(h),e.mode))}if(e.value.rightDelim!=null){T.push(r.customSizedDelim(e.value.rightDelim,M,true,t.withStyle(h),e.mode))}return d([\"minner\",t.style.reset(),h.cls()],T,t.getColor())},spacing:function(e,t,i){if(e.value===\"\\\\ \"||e.value===\"\\\\space\"||e.value===\" \"||e.value===\"~\"){return d([\"mord\",\"mspace\"],[s.mathrm(e.value,e.mode)])}else{var h={\"\\\\qquad\":\"qquad\",\"\\\\quad\":\"quad\",\"\\\\enspace\":\"enspace\",\"\\\\;\":\"thickspace\",\"\\\\:\":\"mediumspace\",\"\\\\,\":\"thinspace\",\"\\\\!\":\"negativethinspace\"};return d([\"mord\",\"mspace\",h[e.value]])}},llap:function(e,t,i){var h=d([\"inner\"],[y(e.value.body,t.reset())]);var a=d([\"fix\"],[]);return d([\"llap\",t.style.cls()],[h,a])},rlap:function(e,t,i){var h=d([\"inner\"],[y(e.value.body,t.reset())]);var a=d([\"fix\"],[]);return d([\"rlap\",t.style.cls()],[h,a])},op:function(e,t,i){var h;var a;var r=false;if(e.type===\"supsub\"){h=e.value.sup;a=e.value.sub;e=e.value.base;r=true}var p=[\"\\\\smallint\"];var n=false;if(t.style.size===l.DISPLAY.size&&e.value.symbol&&!g.contains(p,e.value.body)){n=true}var o;var w=0;var k=0;if(e.value.symbol){var u=n?\"Size2-Regular\":\"Size1-Regular\";o=s.makeSymbol(e.value.body,u,\"math\",t.getColor(),[\"op-symbol\",n?\"large-op\":\"small-op\",\"mop\"]);w=(o.height-o.depth)/2-c.metrics.axisHeight*t.style.sizeMultiplier;k=o.italic}else{var m=[];for(var f=1;f<e.value.body.length;f++){m.push(s.mathrm(e.value.body[f],e.mode))}o=d([\"mop\"],m,t.getColor())}if(r){o=d([],[o]);var v,x,b,z;if(h){var S=y(h,t.withStyle(t.style.sup()));v=d([t.style.reset(),t.style.sup().cls()],[S]);x=Math.max(c.metrics.bigOpSpacing1,c.metrics.bigOpSpacing3-S.depth)}if(a){var T=y(a,t.withStyle(t.style.sub()));b=d([t.style.reset(),t.style.sub().cls()],[T]);z=Math.max(c.metrics.bigOpSpacing2,c.metrics.bigOpSpacing4-T.height)}var M,R,C;if(!h){R=o.height-w;M=s.makeVList([{type:\"kern\",size:c.metrics.bigOpSpacing5},{type:\"elem\",elem:b},{type:\"kern\",size:z},{type:\"elem\",elem:o}],\"top\",R,t);M.children[0].style.marginLeft=-k+\"em\"}else 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p=d([\"x\"],[s.mathrm(\"X\",e.mode)]);return d([\"katex-logo\"],[h,a,l,r,p],t.getColor())},overline:function(e,t,i){var h=y(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var r=d([t.style.reset(),l.TEXT.cls(),\"overline-line\"]);r.height=a;r.maxFontSize=1;var p=s.makeVList([{type:\"elem\",elem:h},{type:\"kern\",size:3*a},{type:\"elem\",elem:r},{type:\"kern\",size:a}],\"firstBaseline\",null,t);return d([\"overline\",\"mord\"],[p],t.getColor())},sqrt:function(e,t,i){var h=y(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var p=d([t.style.reset(),l.TEXT.cls(),\"sqrt-line\"],[],t.getColor());p.height=a;p.maxFontSize=1;var g=a;if(t.style.id<l.TEXT.id){g=c.metrics.xHeight}var n=a+g/4;var o=(h.height+h.depth)*t.style.sizeMultiplier;var w=o+n+a;var k=d([\"sqrt-sign\"],[r.customSizedDelim(\"\\\\surd\",w,false,t,e.mode)],t.getColor());var u=k.height+k.depth-a;if(u>h.height+h.depth+n){n=(n+u-h.height-h.depth)/2}var m=-(h.height+n+a)+k.height;k.style.top=m+\"em\";k.height-=m;k.depth+=m;var f;if(h.height===0&&h.depth===0){f=d()}else{f=s.makeVList([{type:\"elem\",elem:h},{type:\"kern\",size:n},{type:\"elem\",elem:p},{type:\"kern\",size:a}],\"firstBaseline\",null,t)}return d([\"sqrt\",\"mord\"],[k,f])},sizing:function(e,t,i){var h=n(e.value.value,t.withSize(e.value.size),i);var a=d([\"mord\"],[d([\"sizing\",\"reset-\"+t.size,e.value.size,t.style.cls()],h)]);var l=v[e.value.size];a.maxFontSize=l*t.style.sizeMultiplier;return a},styling:function(e,t,i){var h={display:l.DISPLAY,text:l.TEXT,script:l.SCRIPT,scriptscript:l.SCRIPTSCRIPT};var a=h[e.value.style];var s=n(e.value.value,t.withStyle(a),i);return d([t.style.reset(),a.cls()],s)},delimsizing:function(e,t,i){var h=e.value.value;if(h===\".\"){return d([o[e.value.delimType]])}return 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s=e.value.height.number;if(e.value.height.unit===\"ex\"){s*=c.metrics.xHeight}a/=t.style.sizeMultiplier;l/=t.style.sizeMultiplier;s/=t.style.sizeMultiplier;h.style.borderRightWidth=l+\"em\";h.style.borderTopWidth=s+\"em\";h.style.bottom=a+\"em\";h.width=l;h.height=s+a;h.depth=-a;return h},accent:function(e,t,i){var h=e.value.base;var a;if(e.type===\"supsub\"){var l=e;e=l.value.base;h=e.value.base;l.value.base=h;a=y(l,t.reset(),i)}var r=y(h,t.withStyle(t.style.cramp()));var p;if(m(h)){var g=u(h);var n=y(g,t.withStyle(t.style.cramp()));p=n.skew}else{p=0}var o=Math.min(r.height,c.metrics.xHeight);var w=s.makeSymbol(e.value.accent,\"Main-Regular\",\"math\",t.getColor());w.italic=0;var k=e.value.accent===\"\\\\vec\"?\"accent-vec\":null;var f=d([\"accent-body\",k],[d([],[w])]);f=s.makeVList([{type:\"elem\",elem:r},{type:\"kern\",size:-o},{type:\"elem\",elem:f}],\"firstBaseline\",null,t);f.children[1].style.marginLeft=2*p+\"em\";var 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p=n(c([\"delimsizing\",\"size\"+t],[r],h.getColor()),a.TEXT,h);if(i){var g=(1-h.style.sizeMultiplier)*s.metrics.axisHeight;p.style.top=g+\"em\";p.height-=g;p.depth+=g}return p};var k=function(e,t,i){var h;if(t===\"Size1-Regular\"){h=\"delim-size1\"}else if(t===\"Size4-Regular\"){h=\"delim-size4\"}var a=c([\"delimsizinginner\",h],[c([],[l.makeSymbol(e,t,i)])]);return{type:\"elem\",elem:a}};var u=function(e,t,i,h,r){var p,d,o,w;p=o=w=e;d=null;var u=\"Size1-Regular\";if(e===\"\\\\uparrow\"){o=w=\"\\u23d0\"}else if(e===\"\\\\Uparrow\"){o=w=\"\\u2016\"}else if(e===\"\\\\downarrow\"){p=o=\"\\u23d0\"}else if(e===\"\\\\Downarrow\"){p=o=\"\\u2016\"}else if(e===\"\\\\updownarrow\"){p=\"\\\\uparrow\";o=\"\\u23d0\";w=\"\\\\downarrow\"}else if(e===\"\\\\Updownarrow\"){p=\"\\\\Uparrow\";o=\"\\u2016\";w=\"\\\\Downarrow\"}else if(e===\"[\"||e===\"\\\\lbrack\"){p=\"\\u23a1\";o=\"\\u23a2\";w=\"\\u23a3\";u=\"Size4-Regular\"}else if(e===\"]\"||e===\"\\\\rbrack\"){p=\"\\u23a4\";o=\"\\u23a5\";w=\"\\u23a6\";u=\"Size4-Regular\"}else if(e===\"\\\\lfloor\"){o=p=\"\\u23a2\";w=\"\\u23a3\";u=\"Size4-Regular\"}else if(e===\"\\\\lceil\"){p=\"\\u23a1\";o=w=\"\\u23a2\";u=\"Size4-Regular\"}else if(e===\"\\\\rfloor\"){o=p=\"\\u23a5\";w=\"\\u23a6\";u=\"Size4-Regular\"}else if(e===\"\\\\rceil\"){p=\"\\u23a4\";o=w=\"\\u23a5\";u=\"Size4-Regular\"}else if(e===\"(\"){p=\"\\u239b\";o=\"\\u239c\";w=\"\\u239d\";u=\"Size4-Regular\"}else if(e===\")\"){p=\"\\u239e\";o=\"\\u239f\";w=\"\\u23a0\";u=\"Size4-Regular\"}else if(e===\"\\\\{\"||e===\"\\\\lbrace\"){p=\"\\u23a7\";d=\"\\u23a8\";w=\"\\u23a9\";o=\"\\u23aa\";u=\"Size4-Regular\"}else if(e===\"\\\\}\"||e===\"\\\\rbrace\"){p=\"\\u23ab\";d=\"\\u23ac\";w=\"\\u23ad\";o=\"\\u23aa\";u=\"Size4-Regular\"}else if(e===\"\\\\surd\"){p=\"\\ue001\";w=\"\\u23b7\";o=\"\\ue000\";u=\"Size4-Regular\"}var m=g(p,u);var f=m.height+m.depth;var v=g(o,u);var y=v.height+v.depth;var x=g(w,u);var b=x.height+x.depth;var z,S;if(d!==null){z=g(d,u);S=z.height+z.depth}var T=f+b;if(d!==null){T+=S}while(T<t){T+=y;if(d!==null){T+=y}}var M=s.metrics.axisHeight;if(i){M*=h.style.sizeMultiplier}var R=T/2-M;var C=[];C.push(k(w,u,r));var A;if(d===null){var E=T-f-b;var P=Math.ceil(E/y);for(A=0;A<P;A++){C.push(k(o,u,r))}}else{var I=T/2-f-S/2;var L=Math.ceil(I/y);var O=T/2-f-S/2;var D=Math.ceil(O/y);for(A=0;A<L;A++){C.push(k(o,u,r))}C.push(k(d,u,r));for(A=0;A<D;A++){C.push(k(o,u,r))}}C.push(k(p,u,r));var q=l.makeVList(C,\"bottom\",R,h);return n(c([\"delimsizing\",\"mult\"],[q],h.getColor()),a.TEXT,h)};var m=[\"(\",\")\",\"[\",\"\\\\lbrack\",\"]\",\"\\\\rbrack\",\"\\\\{\",\"\\\\lbrace\",\"\\\\}\",\"\\\\rbrace\",\"\\\\lfloor\",\"\\\\rfloor\",\"\\\\lceil\",\"\\\\rceil\",\"\\\\surd\"];var f=[\"\\\\uparrow\",\"\\\\downarrow\",\"\\\\updownarrow\",\"\\\\Uparrow\",\"\\\\Downarrow\",\"\\\\Updownarrow\",\"|\",\"\\\\|\",\"\\\\vert\",\"\\\\Vert\"];var v=[\"<\",\">\",\"\\\\langle\",\"\\\\rangle\",\"/\",\"\\\\backslash\"];var y=[0,1.2,1.8,2.4,3];var x=function(e,t,i,a){if(e===\"<\"){e=\"\\\\langle\"}else if(e===\">\"){e=\"\\\\rangle\"}if(p.contains(m,e)||p.contains(v,e)){return w(e,t,false,i,a)}else if(p.contains(f,e)){return u(e,y[t],false,i,a)}else{throw new h(\"Illegal delimiter: '\"+e+\"'\")}};var b=[{type:\"small\",style:a.SCRIPTSCRIPT},{type:\"small\",style:a.SCRIPT},{type:\"small\",style:a.TEXT},{type:\"large\",size:1},{type:\"large\",size:2},{type:\"large\",size:3},{type:\"large\",size:4}];var z=[{type:\"small\",style:a.SCRIPTSCRIPT},{type:\"small\",style:a.SCRIPT},{type:\"small\",style:a.TEXT},{type:\"stack\"}];var S=[{type:\"small\",style:a.SCRIPTSCRIPT},{type:\"small\",style:a.SCRIPT},{type:\"small\",style:a.TEXT},{type:\"large\",size:1},{type:\"large\",size:2},{type:\"large\",size:3},{type:\"large\",size:4},{type:\"stack\"}];var T=function(e){if(e.type===\"small\"){return\"Main-Regular\"}else if(e.type===\"large\"){return\"Size\"+e.size+\"-Regular\"}else if(e.type===\"stack\"){return\"Size4-Regular\"}};var M=function(e,t,i,h){var a=Math.min(2,3-h.style.size);for(var l=a;l<i.length;l++){if(i[l].type===\"stack\"){break}var s=g(e,T(i[l]));var r=s.height+s.depth;if(i[l].type===\"small\"){r*=i[l].style.sizeMultiplier\n}if(r>t){return i[l]}}return i[i.length-1]};var R=function(e,t,i,h,a){if(e===\"<\"){e=\"\\\\langle\"}else if(e===\">\"){e=\"\\\\rangle\"}var l;if(p.contains(v,e)){l=b}else if(p.contains(m,e)){l=S}else{l=z}var s=M(e,t,l,h);if(s.type===\"small\"){return o(e,s.style,i,h,a)}else if(s.type===\"large\"){return w(e,s.size,i,h,a)}else if(s.type===\"stack\"){return u(e,t,i,h,a)}};var C=function(e,t,i,h,a){var l=s.metrics.axisHeight*h.style.sizeMultiplier;var r=901;var p=5/s.metrics.ptPerEm;var c=Math.max(t-l,i+l);var g=Math.max(c/500*r,2*c-p);return R(e,g,true,h,a)};t.exports={sizedDelim:x,customSizedDelim:R,leftRightDelim:C}},{\"./ParseError\":4,\"./Style\":6,\"./buildCommon\":7,\"./fontMetrics\":11,\"./symbols\":14,\"./utils\":15}],10:[function(e,t,i){var h=e(\"./utils\");var a=function(e){e=e.slice();for(var t=e.length-1;t>=0;t--){if(!e[t]){e.splice(t,1)}}return e.join(\" \")};function l(e,t,i,h,a,l){this.classes=e||[];this.children=t||[];this.height=i||0;this.depth=h||0;this.maxFontSize=a||0;this.style=l||{}}l.prototype.toNode=function(){var e=document.createElement(\"span\");e.className=a(this.classes);for(var t in this.style){if(this.style.hasOwnProperty(t)){e.style[t]=this.style[t]}}for(var i=0;i<this.children.length;i++){e.appendChild(this.children[i].toNode())}return e};l.prototype.toMarkup=function(){var e=\"<span\";if(this.classes.length){e+=' class=\"';e+=h.escape(a(this.classes));e+='\"'}var t=\"\";for(var i in this.style){if(this.style.hasOwnProperty(i)){t+=h.hyphenate(i)+\":\"+this.style[i]+\";\"}}if(t){e+=' 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"title": "$:/plugins/tiddlywiki/katex/styles",
"tags": "[[$:/tags/Stylesheet]]",
"text": "\\rules only filteredtranscludeinline transcludeinline macrodef macrocallinline\n\n/* KaTeX styles */\n\n{{$:/plugins/tiddlywiki/katex/katex.min.css}}\n\n/* Override font URLs */\n\n@font-face {\n\tfont-family: 'KaTeX_AMS';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_AMS-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Caligraphic';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Caligraphic-Bold.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Caligraphic';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Caligraphic-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Fraktur';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Fraktur-Bold.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Fraktur';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Fraktur-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Greek';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Greek-Bold.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Greek';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Greek-BoldItalic.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Greek';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Greek-Italic.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Greek';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Greek-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Main';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Bold.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Main';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Italic.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Main';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Main-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Math';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-BoldItalic.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Math';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-Italic.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Math';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Math-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_SansSerif';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_SansSerif-Bold.woff'>>) format('woff');\n\tfont-weight: bold;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_SansSerif';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_SansSerif-Italic.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: italic;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_SansSerif';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_SansSerif-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Script';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Script-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Size1';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size1-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Size2';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size2-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Size3';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size3-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Size4';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Size4-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n\n@font-face {\n\tfont-family: 'KaTeX_Typewriter';\n\tsrc: url(<<datauri '$:/plugins/tiddlywiki/katex/fonts/KaTeX_Typewriter-Regular.woff'>>) format('woff');\n\tfont-weight: normal;\n\tfont-style: normal;\n}\n"
},
"$:/plugins/tiddlywiki/katex/wrapper.js": {
"text": "/*\\\ntitle: $:/plugins/tiddlywiki/katex/wrapper.js\ntype: application/javascript\nmodule-type: widget\n\nWrapper for `katex.min.js` that provides a `<$latex>` widget. It is also available under the alias `<$katex>`\n\n\\*/\n(function(){\n\n/*jslint node: true, browser: true */\n/*global $tw: false */\n\"use strict\";\n\nvar katex = require(\"$:/plugins/tiddlywiki/katex/katex.min.js\"),\n\tWidget = require(\"$:/core/modules/widgets/widget.js\").widget;\n\nvar KaTeXWidget = function(parseTreeNode,options) {\n\tthis.initialise(parseTreeNode,options);\n};\n\n/*\nInherit from the base widget class\n*/\nKaTeXWidget.prototype = new Widget();\n\n/*\nRender this widget into the DOM\n*/\nKaTeXWidget.prototype.render = function(parent,nextSibling) {\n\t// Housekeeping\n\tthis.parentDomNode = parent;\n\tthis.computeAttributes();\n\tthis.execute();\n\t// Get the source text\n\tvar text = this.getAttribute(\"text\",this.parseTreeNode.text || \"\");\n\t// Render it into a span\n\tvar span = this.document.createElement(\"span\");\n\ttry {\n\t\tif($tw.browser) {\n\t\t\tkatex.render(text,span);\n\t\t} else {\n\t\t\tspan.innerHTML = katex.renderToString(text);\n\t\t}\n\t} catch(ex) {\n\t\tspan.className = \"tc-error\";\n\t\tspan.textContent = ex;\n\t}\n\t// Insert it into the DOM\n\tparent.insertBefore(span,nextSibling);\n\tthis.domNodes.push(span);\n};\n\n/*\nCompute the internal state of the widget\n*/\nKaTeXWidget.prototype.execute = function() {\n\t// Nothing to do for a katex widget\n};\n\n/*\nSelectively refreshes the widget if needed. Returns true if the widget or any of its children needed re-rendering\n*/\nKaTeXWidget.prototype.refresh = function(changedTiddlers) {\n\tvar changedAttributes = this.computeAttributes();\n\tif(changedAttributes.text) {\n\t\tthis.refreshSelf();\n\t\treturn true;\n\t} else {\n\t\treturn false;\t\n\t}\n};\n\nexports.latex = KaTeXWidget;\nexports.katex = KaTeXWidget;\n\n})();\n\n",
"title": "$:/plugins/tiddlywiki/katex/wrapper.js",
"type": "application/javascript",
"module-type": "widget"
}
}
}
[[HyperText]] Edition ([[v0.1|Version]])
$:/core/ui/ControlPanel/Advanced
$:/core/ui/ControlPanel/Info
{
"tiddlers": {
"$:/info/browser": {
"title": "$:/info/browser",
"text": "yes"
},
"$:/info/node": {
"title": "$:/info/node",
"text": "no"
}
}
}
{
"tiddlers": {
"$:/themes/tiddlywiki/snowwhite/base": {
"title": "$:/themes/tiddlywiki/snowwhite/base",
"tags": "[[$:/tags/Stylesheet]]",
"text": "\\rules only filteredtranscludeinline transcludeinline macrodef macrocallinline\n\n.tc-sidebar-header {\n\ttext-shadow: 0 1px 0 <<colour sidebar-foreground-shadow>>;\n}\n\n.tc-tiddler-info {\n\t<<box-shadow \"inset 1px 2px 3px rgba(0,0,0,0.1)\">>\n}\n\n@media screen {\n\t.tc-tiddler-frame {\n\t\t<<box-shadow \"5px 5px 5px rgba(0, 0, 0, 0.1)\">>\n\t}\n}\n\n@media (max-width: {{$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint}}) {\n\t.tc-tiddler-frame {\n\t\t<<box-shadow none>>\n\t}\n}\n\n.tc-page-controls button svg, .tc-tiddler-controls button svg, .tc-topbar button svg {\n\t<<transition \"fill 150ms ease-in-out\">>\n}\n\n.tc-tiddler-controls button.tc-selected svg {\n\t<<filter \"drop-shadow(0px -1px 2px rgba(0,0,0,0.25))\">>\n}\n\n.tc-tiddler-frame input.tc-edit-texteditor {\n\t<<box-shadow \"inset 0 1px 8px rgba(0, 0, 0, 0.15)\">>\n}\n\n.tc-edit-tags {\n\t<<box-shadow \"inset 0 1px 8px rgba(0, 0, 0, 0.15)\">>\n}\n\n.tc-tiddler-frame .tc-edit-tags input.tc-edit-texteditor {\n\t<<box-shadow \"none\">>\n\tborder: none;\n\toutline: none;\n}\n\ncanvas.tc-edit-bitmapeditor {\n\t<<box-shadow \"2px 2px 5px rgba(0, 0, 0, 0.5)\">>\n}\n\n.tc-drop-down {\n\tborder-radius: 4px;\n\t<<box-shadow \"2px 2px 10px rgba(0, 0, 0, 0.5)\">>\n}\n\n.tc-block-dropdown {\n\tborder-radius: 4px;\n\t<<box-shadow \"2px 2px 10px rgba(0, 0, 0, 0.5)\">>\n}\n\n.tc-modal-displayed {\n\t-webkit-filter: blur(4px);\n}\n\n.tc-modal {\n\tborder-radius: 6px;\n\t<<box-shadow \"0 3px 7px rgba(0,0,0,0.3)\">>\n}\n\n.tc-modal-footer {\n\tborder-radius: 0 0 6px 6px;\n\t<<box-shadow \"inset 0 1px 0 #fff\">>;\n}\n\n\n.tc-alert {\n\tborder-radius: 6px;\n\t<<box-shadow \"0 3px 7px rgba(0,0,0,0.6)\">>\n}\n\n.tc-notification {\n\tborder-radius: 6px;\n\t<<box-shadow \"0 3px 7px rgba(0,0,0,0.3)\">>\n\ttext-shadow: 0 1px 0 rgba(255,255,255, 0.8);\n}\n\n.tc-sidebar-lists .tc-tab-divider {\n\t<<background-linear-gradient \"left, rgb(216,216,216) 0%, rgb(236,236,236) 250px\">>\n}\n\n.tc-more-sidebar .tc-tab-buttons button {\n\t<<background-linear-gradient \"left, rgb(236,236,236) 0%, rgb(224,224,224) 100%\">>\n}\n\n.tc-more-sidebar .tc-tab-buttons button.tc-tab-selected {\n\t<<background-linear-gradient \"left, rgb(236,236,236) 0%, rgb(248,248,248) 100%\">>\n}\n\n.tc-message-box img {\n\t<<box-shadow \"1px 1px 3px rgba(0,0,0,0.5)\">>\n}\n\n.tc-plugin-info {\n\t<<box-shadow \"2px 2px 4px rgba(0,0,0,0.2)\">>\n}\n"
}
}
}
{
"tiddlers": {
"$:/themes/tiddlywiki/vanilla/themetweaks": {
"title": "$:/themes/tiddlywiki/vanilla/themetweaks",
"tags": "$:/tags/ControlPanel/Appearance",
"caption": "Theme Tweaks",
"text": "You can tweak certain aspects of the ''Vanilla'' theme.\n\n! Settings\n\n* [[Font family|$:/themes/tiddlywiki/vanilla/settings/fontfamily]]: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/settings/fontfamily\" default=\"\" tag=\"input\"/>\n\n! Sizes\n\n* [[Font size|$:/themes/tiddlywiki/vanilla/metrics/fontsize]]: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/fontsize\" default=\"\" tag=\"input\"/>\n* [[Line height|$:/themes/tiddlywiki/vanilla/metrics/lineheight]]: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/lineheight\" default=\"\" tag=\"input\"/>\n* [[Font size for tiddler body|$:/themes/tiddlywiki/vanilla/metrics/bodyfontsize]]: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/bodyfontsize\" default=\"\" tag=\"input\"/>\n* [[Line height for tiddler body|$:/themes/tiddlywiki/vanilla/metrics/bodylineheight]]: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/bodylineheight\" default=\"\" tag=\"input\"/>\n* [[Story left position|$:/themes/tiddlywiki/vanilla/metrics/storyleft]] //(the distance between the left of the screen and the left margin of the story river or tiddler area)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/storyleft\" default=\"\" tag=\"input\"/>\n* [[Story top position|$:/themes/tiddlywiki/vanilla/metrics/storytop]] //(the distance between the top of the screen and the top margin of the story river or tiddler area)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/storytop\" default=\"\" tag=\"input\"/>\n* [[Story right|$:/themes/tiddlywiki/vanilla/metrics/storyright]] //(the distance between the left side of the screen and the left margin of the sidebar area)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/storyright\" default=\"\" tag=\"input\"/>\n* [[Story width|$:/themes/tiddlywiki/vanilla/metrics/storywidth]] //(the width of the story river or tiddler area)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/storywidth\" default=\"\" tag=\"input\"/>\n* [[Tiddler width|$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth]] //(the width of individual tiddlers -- used for zoomin storyview)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth\" default=\"\" tag=\"input\"/>\n* [[Sidebar breakpoint|$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint]] //(the minimum width for the sidebar to be displayed alongside the story river)//: <$edit-text tiddler=\"$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint\" default=\"\" tag=\"input\"/>\n"
},
"$:/themes/tiddlywiki/vanilla/base": {
"title": "$:/themes/tiddlywiki/vanilla/base",
"tags": "[[$:/tags/Stylesheet]]",
"text": "\\rules only filteredtranscludeinline transcludeinline macrodef macrocallinline\n/*\n** Start with the normalize CSS reset, and then belay some of its effects\n*/\n\n{{$:/themes/tiddlywiki/vanilla/reset}}\n\n*, input[type=\"search\"] {\n\tbox-sizing: border-box;\n\t-moz-box-sizing: border-box;\n\t-webkit-box-sizing: border-box;\n}\n\nhtml button {\n\tline-height: 1.2;\n}\n\n/*\n** Basic element styles\n*/\n\nhtml {\n\tfont-family: {{$:/themes/tiddlywiki/vanilla/settings/fontfamily}};\n\ttext-rendering: optimizeLegibility; /* Enables kerning and ligatures etc. */\t\n}\n\nhtml:-webkit-full-screen {\n\tbackground-color: <<colour page-background>>;\n}\n\nbody.tc-body {\n\tfont-size: {{$:/themes/tiddlywiki/vanilla/metrics/fontsize}};\n\tline-height: {{$:/themes/tiddlywiki/vanilla/metrics/lineheight}};\n\tcolor: <<colour foreground>>;\n\tbackground-color: <<colour page-background>>;\n\tword-wrap: break-word;\n}\n\nh1, h2, h3, h4, h5, h6 {\n\tline-height: 1.2;\n\tfont-weight: 300;\n}\n\npre {\n\tdisplay: block;\n\tpadding: 14px;\n\tmargin-top: 1em;\n\tmargin-bottom: 1em;\n\tword-break: normal;\n\tword-wrap: break-word;\n\twhite-space: pre;\n\twhite-space: pre-wrap;\n\tbackground-color: <<colour pre-background>>;\n\tborder: 1px solid <<colour pre-border>>;\n\tpadding: 0 3px 2px;\n\tborder-radius: 3px;\n}\n\ncode {\n\tcolor: <<colour code-foreground>>;\n\tbackground-color: <<colour code-background>>;\n\tborder: 1px solid <<colour code-border>>;\n white-space: pre-wrap;\n\tpadding: 0 3px 2px;\n\tborder-radius: 3px;\n}\n\nblockquote {\n\tborder-left: 5px solid <<colour blockquote-bar>>;\n\tmargin-left: 25px;\n\tpadding-left: 10px;\n}\n\ndl dt {\n\tfont-weight: bold;\n\tmargin-top: 6px;\n}\n\n.tc-muted {\n\tcolor: <<colour muted-foreground>>;\n}\n\n/*\nMarkdown likes putting code elements inside pre elements\n*/\npre > code {\n\tpadding: 0;\n\tborder: none;\n\tbackground-color: inherit;\n\tcolor: inherit;\n}\n\ntable {\n\tborder: 1px solid <<colour table-border>>;\n\twidth: auto;\n\tmax-width: 100%;\n\tcaption-side: bottom;\n\tmargin-top: 1em;\n\tmargin-bottom: 1em;\n}\n\ntable th, table td {\n\tpadding: 0 7px 0 7px;\n\tborder-top: 1px solid <<colour table-border>>;\n\tborder-left: 1px solid <<colour table-border>>;\n}\n\ntable thead tr td, table th {\n\tbackground-color: <<colour table-header-background>>;\n\tfont-weight: bold;\n}\n\ntable tfoot tr td {\n\tbackground-color: <<colour table-footer-background>>;\n}\n\n.tc-csv-table {\n\twhite-space: nowrap;\n}\n\n.tc-tiddler-frame img,\n.tc-tiddler-frame svg,\n.tc-tiddler-frame canvas,\n.tc-tiddler-frame embed,\n.tc-tiddler-frame iframe {\n\tmax-width: 100%;\n}\n\n.tc-tiddler-body > embed,\n.tc-tiddler-body > iframe {\n\twidth: 100%;\n\theight: 600px;\n}\n\n/*\n** Links\n*/\n\nbutton.tc-tiddlylink,\na.tc-tiddlylink {\n\ttext-decoration: none;\n\tfont-weight: normal;\n\tcolor: <<colour tiddler-link-foreground>>;\n\t-webkit-user-select: inherit; /* Otherwise the draggable attribute makes links impossible to select */\n}\n\n.tc-sidebar-lists a.tc-tiddlylink {\n\tcolor: <<colour sidebar-tiddler-link-foreground>>;\n}\n\n.tc-sidebar-lists a.tc-tiddlylink:hover {\n\tcolor: <<colour sidebar-tiddler-link-foreground-hover>>;\n}\n\nbutton.tc-tiddlylink:hover,\na.tc-tiddlylink:hover {\n\ttext-decoration: underline;\n}\n\na.tc-tiddlylink-resolves {\n}\n\na.tc-tiddlylink-shadow {\n\tfont-weight: bold;\n}\n\na.tc-tiddlylink-shadow.tc-tiddlylink-resolves {\n\tfont-weight: normal;\n}\n\na.tc-tiddlylink-missing {\n\tfont-style: italic;\n}\n\na.tc-tiddlylink-external {\n\ttext-decoration: underline;\n\tcolor: <<colour external-link-foreground>>;\n\tbackground-color: <<colour external-link-background>>;\n}\n\na.tc-tiddlylink-external:visited {\n\tcolor: <<colour external-link-foreground-visited>>;\n\tbackground-color: <<colour external-link-background-visited>>;\n}\n\na.tc-tiddlylink-external:hover {\n\tcolor: <<colour external-link-foreground-hover>>;\n\tbackground-color: <<colour external-link-background-hover>>;\n}\n\n/*\n** Drag and drop styles\n*/\n\n.tc-tiddler-dragger {\n\tposition: relative;\n\tz-index: -10000;\n}\n\n.tc-tiddler-dragger-inner {\n\tposition: absolute;\n\tdisplay: inline-block;\n\tpadding: 8px 20px;\n\tfont-size: 16.9px;\n\tfont-weight: bold;\n\tline-height: 20px;\n\tcolor: <<colour dragger-foreground>>;\n\ttext-shadow: 0 1px 0 rgba(0, 0, 0, 1);\n\twhite-space: nowrap;\n\tvertical-align: baseline;\n\tbackground-color: <<colour dragger-background>>;\n\tborder-radius: 20px;\n}\n\n.tc-tiddler-dragger-cover {\n\tposition: absolute;\n\tbackground-color: <<colour page-background>>;\n}\n\n.tc-dropzone {\n\tposition: relative;\n}\n\n.tc-dropzone.tc-dragover:before {\n\tz-index: 10000;\n\tdisplay: block;\n\tposition: absolute;\n\tposition: -webkit-sticky;\n\tposition: -moz-sticky;\n\tposition: -o-sticky;\n\tposition: -ms-sticky;\n\tposition: sticky;\n\ttop: 0;\n\tleft: 0;\n\tright: 0;\n\tbackground: <<colour dropzone-background>>;\n\ttext-align: center;\n\tcontent: \"<<lingo DropMessage>>\";\n}\n\n/*\n** Buttons\n*/\n\nbutton svg, button img {\n\tvertical-align: middle;\n}\n\n.tc-btn-invisible {\n\tpadding: 0;\n\tmargin: 0;\n\tbackground: none;\n\tborder: none;\n}\n\n.tc-btn-icon svg {\n\theight: 1em;\n\twidth: 1em;\n\tfill: <<colour muted-foreground>>;\n}\n\n.tc-btn-text {\n\tpadding: 0;\n\tmargin: 0;\n}\n\n.tc-btn-big-green {\n\tpadding: 8px;\n\tmargin: 4px 8px 4px 8px;\n\tbackground: <<colour download-background>>;\n\tcolor: <<colour download-foreground>>;\n\tfill: <<colour download-foreground>>;\n\tborder: none;\n\tfont-size: 1.2em;\n\tline-height: 1.4em;\n}\n\n.tc-sidebar-lists input {\n\tcolor: <<colour foreground>>;\n}\n\n.tc-sidebar-lists button {\n\tcolor: <<colour sidebar-button-foreground>>;\n\tfill: <<colour sidebar-button-foreground>>;\n}\n\n.tc-sidebar-lists button.tc-btn-mini {\n\tcolor: <<colour sidebar-muted-foreground>>;\n}\n\n.tc-sidebar-lists button.tc-btn-mini:hover {\n\tcolor: <<colour sidebar-muted-foreground-hover>>;\n}\n\nbutton svg.tc-image-button, button .tc-image-button img {\n\theight: 1em;\n\twidth: 1em;\n}\n\n/*\n** Tags and missing tiddlers\n*/\n\n.tc-tag-list-item {\n\tposition: relative;\n\tdisplay: inline-block;\n\tmargin-right: 7px;\n}\n\n.tc-tags-wrapper {\n\tmargin: 4px 0 14px 0;\n}\n\n.tc-missing-tiddler-label {\n\tfont-style: italic;\n\tfont-weight: normal;\n\tdisplay: inline-block;\n\tfont-size: 11.844px;\n\tline-height: 14px;\n\twhite-space: nowrap;\n\tvertical-align: baseline;\n}\n\nbutton.tc-tag-label, span.tc-tag-label {\n\tdisplay: inline-block;\n\tpadding: 0.16em 0.7em;\n\tfont-size: 0.9em;\n\tfont-weight: 300;\n\tline-height: 1.2em;\n\tcolor: <<colour tag-foreground>>;\n\twhite-space: nowrap;\n\tvertical-align: baseline;\n\tbackground-color: <<colour tag-background>>;\n\tborder-radius: 1em;\n}\n\n.tc-untagged-separator {\n\twidth: 10em;\n\tleft: 0;\n\tmargin-left: 0;\n\tborder: 0;\n\theight: 1px;\n\tbackground: <<colour tab-divider>>;\n}\n\nbutton.tc-untagged-label {\n\tbackground-color: <<colour untagged-background>>;\n}\n\n.tc-tag-label svg, .tc-tag-label img {\n\theight: 1em;\n\twidth: 1em;\n\tfill: <<colour tag-foreground>>;\n}\n\n.tc-tag-manager-table .tc-tag-label {\n\twhite-space: normal;\n}\n\n.tc-tag-manager-tag {\n\twidth: 100%;\n}\n\n/*\n** Page layout\n*/\n\n.tc-topbar {\n\tposition: fixed;\n\tz-index: 1200;\n}\n\n.tc-topbar-left {\n\tleft: 29px;\n\ttop: 5px;\n}\n\n.tc-topbar-right {\n\ttop: 5px;\n\tright: 29px;\n}\n\n.tc-topbar button {\n\tpadding: 8px;\n}\n\n.tc-topbar svg {\n\tfill: <<colour muted-foreground>>;\n}\n\n.tc-topbar button:hover svg {\n\tfill: <<colour foreground>>;\n}\n\n.tc-sidebar-header {\n\tcolor: <<colour sidebar-foreground>>;\n\tfill: <<colour sidebar-foreground>>;\n}\n\n.tc-sidebar-header .tc-title a.tc-tiddlylink-resolves {\n\tfont-weight: 300;\n}\n\n.tc-sidebar-header .tc-sidebar-lists p {\n\tmargin-top: 3px;\n\tmargin-bottom: 3px;\n}\n\n.tc-sidebar-header .tc-missing-tiddler-label {\n\tcolor: <<colour sidebar-foreground>>;\n}\n\n.tc-advanced-search input {\n\twidth: 60%;\n}\n\n.tc-search a svg {\n\twidth: 1.2em;\n\theight: 1.2em;\n\tvertical-align: middle;\n}\n\n.tc-search-results {\n\tpadding-top: 14px;\n}\n\n.tc-page-controls {\n\tmargin-top: 14px;\n\tfont-size: 1.5em;\n}\n\n.tc-page-controls button {\n\tmargin-right: 0.5em;\n}\n\n.tc-page-controls a.tc-tiddlylink:hover {\n\ttext-decoration: none;\n}\n\n.tc-page-controls img {\n\twidth: 1em;\n}\n\n.tc-page-controls svg,\n.tc-search svg {\n\tfill: <<colour sidebar-controls-foreground>>;\n}\n\n.tc-page-controls button:hover svg, .tc-page-controls a:hover svg,\n.tc-search button:hover svg, .tc-search a:hover svg {\n\tfill: <<colour sidebar-controls-foreground-hover>>;\n}\n\n.tc-menu-list-item {\n\twhite-space: nowrap;\n}\n\n.tc-menu-list-count {\n\tfont-weight: bold;\n}\n\n.tc-menu-list-subitem {\n\tpadding-left: 7px;\n}\n\n.tc-story-river {\n\tposition: relative;\n}\n\n@media (max-width: {{$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint}}) {\n\n\t.tc-sidebar-header {\n\t\tpadding: 14px;\n\t\tmin-height: 32px;\n\t\tmargin-top: {{$:/themes/tiddlywiki/vanilla/metrics/storytop}};\n\t}\n\n\t.tc-story-river {\n\t\tposition: relative;\n\t\tpadding: 0;\n\t}\n}\n\n@media (min-width: {{$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint}}) {\n\n\t.tc-message-box {\n\t\tmargin: 21px -21px 21px -21px;\n\t}\n\n\t.tc-sidebar-scrollable {\n\t\tposition: fixed;\n\t\ttop: {{$:/themes/tiddlywiki/vanilla/metrics/storytop}};\n\t\tleft: {{$:/themes/tiddlywiki/vanilla/metrics/storyright}};\n\t\tbottom: 0;\n\t\tright: 0;\n\t\toverflow-y: auto;\n\t\toverflow-x: auto;\n\t\t-webkit-overflow-scrolling: touch;\n\t\tmargin: 0 0 0 -42px;\n\t\tpadding: 71px 0 28px 42px;\n\t}\n\n\t.tc-story-river {\n\t\tposition: relative;\n\t\tleft: {{$:/themes/tiddlywiki/vanilla/metrics/storyleft}};\n\t\ttop: {{$:/themes/tiddlywiki/vanilla/metrics/storytop}};\n\t\twidth: {{$:/themes/tiddlywiki/vanilla/metrics/storywidth}};\n\t\tpadding: 42px 42px 42px 42px;\n\t}\n\n<<if-no-sidebar \"\n\n\t.tc-story-river {\n\t\twidth: auto;\n\t}\n\n\">>\n\n}\n\n@media print {\n\n\tbody.tc-body {\n\t\tbackground-color: transparent;\n\t}\n\n\t.tc-sidebar-header, .tc-topbar {\n\t\tdisplay: none;\n\t}\n\n\t.tc-story-river {\n\t\tmargin: 0;\n\t\tpadding: 0;\n\t}\n\n\t.tc-story-river .tc-tiddler-frame {\n\t\tmargin: 0;\n\t\tborder: none;\n\t\tpadding: 28px;\n\t}\n}\n\n/*\n** Tiddler styles\n*/\n\n.tc-tiddler-frame {\n\tmargin-bottom: 28px;\n\tbackground-color: <<colour tiddler-background>>;\n\tborder: 1px solid <<colour tiddler-border>>;\n}\n\n.tc-tiddler-info {\n\tpadding: 14px 42px 14px 42px;\n\tbackground-color: <<colour tiddler-info-background>>;\n\tborder-top: 1px solid <<colour tiddler-info-border>>;\n\tborder-bottom: 1px solid <<colour tiddler-info-border>>;\n}\n\n.tc-tiddler-info p {\n\tmargin-top: 3px;\n\tmargin-bottom: 3px;\n}\n\n.tc-tiddler-info .tc-tab-buttons button.tc-tab-selected {\n\tbackground-color: <<colour tiddler-info-tab-background>>;\n\tborder-bottom: 1px solid <<colour tiddler-info-tab-background>>;\n}\n\n.tc-view-field-table {\n\twidth: 100%;\n}\n\n.tc-view-field-name {\n\twidth: 1%; /* Makes this column be as narrow as possible */\n\ttext-align: right;\n\tfont-style: italic;\n\tfont-weight: 200;\n}\n\n.tc-view-field-value {\n}\n\n@media (max-width: {{$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint}}) {\n\t.tc-tiddler-frame {\n\t\tpadding: 14px 14px 14px 14px;\n\t}\n\n\t.tc-tiddler-info {\n\t\tmargin: 0 -14px 0 -14px;\n\t}\n}\n\n@media (min-width: {{$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint}}) {\n\t.tc-tiddler-frame {\n\t\tpadding: 28px 42px 42px 42px;\n\t\twidth: {{$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth}};\n\t\tborder-radius: 2px;\n\t}\n\n<<if-no-sidebar \"\n\n\t.tc-tiddler-frame {\n\t\twidth: 100%;\n\t}\n\n\">>\n\n\t.tc-tiddler-info {\n\t\tmargin: 0 -42px 0 -42px;\n\t}\n}\n\n.tc-site-title,\n.tc-titlebar {\n\tfont-weight: 300;\n\tfont-size: 2.35em;\n\tline-height: 1.2em;\n\tcolor: <<colour tiddler-title-foreground>>;\n\tmargin: 0;\n}\n\n.tc-tiddler-title-icon {\n\tvertical-align: middle;\n}\n\n.tc-system-title-prefix {\n\tcolor: <<colour muted-foreground>>;\n}\n\n.tc-titlebar h2 {\n\tfont-size: 1em;\n\tdisplay: inline;\n}\n\n.tc-titlebar img {\n\theight: 1em;\n}\n\n.tc-subtitle {\n\tfont-size: 0.9em;\n\tcolor: <<colour tiddler-subtitle-foreground>>;\n\tfont-weight: 300;\n}\n\n.tc-tiddler-missing .tc-title {\n font-style: italic;\n font-weight: normal;\n}\n\n.tc-tiddler-frame .tc-tiddler-controls {\n\tfloat: right;\n}\n\n.tc-tiddler-controls .tc-drop-down {\n\tfont-size: 0.6em;\n}\n\n.tc-tiddler-controls .tc-drop-down .tc-drop-down {\n\tfont-size: 1em;\n}\n\n.tc-tiddler-controls > span > button {\n\tvertical-align: baseline;\n\tmargin-left:5px;\n}\n\n.tc-tiddler-controls button svg, .tc-tiddler-controls button img {\n\theight: 0.75em;\n\tfill: <<colour tiddler-controls-foreground>>;\n}\n\n.tc-tiddler-controls button.tc-selected svg {\n\tfill: <<colour tiddler-controls-foreground-selected>>;\n}\n\n.tc-tiddler-controls button.tc-btn-invisible:hover svg {\n\tfill: <<colour tiddler-controls-foreground-hover>>;\n}\n\n@media print {\n\t.tc-tiddler-controls {\n\t\tdisplay: none;\n\t}\n}\n\n.tc-tiddler-help { /* Help prompts within tiddler template */\n\tcolor: <<colour muted-foreground>>;\n\tmargin-top: 14px;\n}\n\n.tc-tiddler-help a.tc-tiddlylink {\n\tcolor: <<colour very-muted-foreground>>;\n}\n\n.tc-tiddler-frame input.tc-edit-texteditor, .tc-tiddler-frame textarea.tc-edit-texteditor {\n\twidth: 100%;\n\tpadding: 3px 3px 3px 3px;\n\tborder: 1px solid <<colour tiddler-editor-border>>;\n\tline-height: 1.3em;\n\t-webkit-appearance: none;\n\tmargin: 4px 0 4px 0;\n}\n\n.tc-tiddler-frame .tc-binary-warning {\n\twidth: 100%;\n\theight: 5em;\n\ttext-align: center;\n\tpadding: 3em 3em 6em 3em;\n\tbackground: <<colour alert-background>>;\n\tborder: 1px solid <<colour alert-border>>;\n}\n\n.tc-tiddler-frame input.tc-edit-texteditor {\n\tbackground-color: <<colour tiddler-editor-background>>;\n}\n\ncanvas.tc-edit-bitmapeditor {\n\tborder: 6px solid <<colour tiddler-editor-border-image>>;\n\tcursor: crosshair;\n\t-moz-user-select: none;\n\t-webkit-user-select: none;\n\t-ms-user-select: none;\n\tmargin-top: 6px;\n\tmargin-bottom: 6px;\n}\n\n.tc-edit-bitmapeditor-width {\n\tdisplay: block;\n}\n\n.tc-edit-bitmapeditor-height {\n\tdisplay: block;\n}\n\n.tc-tiddler-frame .tc-tiddler-body {\n\tfont-size: {{$:/themes/tiddlywiki/vanilla/metrics/bodyfontsize}};\n\tline-height: {{$:/themes/tiddlywiki/vanilla/metrics/bodylineheight}};\n}\n\n.tc-titlebar, .tc-tiddler-edit-title {\n\toverflow: hidden; /* https://github.com/Jermolene/TiddlyWiki5/issues/282 */\n}\n\n/*\n** Toolbar buttons\n*/\n\n.tc-page-controls svg.tc-image-new-button {\n fill: <<colour toolbar-new-button>>;\n}\n\n.tc-page-controls svg.tc-image-options-button {\n fill: <<colour toolbar-options-button>>;\n}\n\n.tc-page-controls svg.tc-image-save-button {\n fill: <<colour toolbar-save-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-info-button {\n fill: <<colour toolbar-info-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-edit-button {\n fill: <<colour toolbar-edit-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-close-button {\n fill: <<colour toolbar-close-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-delete-button {\n fill: <<colour toolbar-delete-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-cancel-button {\n fill: <<colour toolbar-cancel-button>>;\n}\n\n.tc-tiddler-controls button svg.tc-image-done-button {\n fill: <<colour toolbar-done-button>>;\n}\n\n/*\n** Tiddler edit mode\n*/\n\n.tc-tiddler-edit-frame em.tc-edit {\n\tcolor: <<colour muted-foreground>>;\n\tfont-style: normal;\n}\n\n.tc-edit-type-dropdown a.tc-tiddlylink-missing {\n\tfont-style: normal;\n}\n\n.tc-edit-tags {\n\tborder: 1px solid <<colour tiddler-editor-border>>;\n\tpadding: 4px 8px 4px 8px;\n}\n\n.tc-edit-add-tag {\n\tdisplay: inline-block;\n}\n\n.tc-edit-add-tag .tc-add-tag-name input {\n\twidth: 50%;\n}\n\n.tc-edit-tags .tc-tag-label {\n\tdisplay: inline-block;\n}\n\n.tc-edit-tags-list {\n\tmargin: 14px 0 14px 0;\n}\n\n.tc-remove-tag-button {\n\tpadding-left: 4px;\n}\n\n.tc-tiddler-preview {\n\toverflow: auto;\n}\n\n.tc-tiddler-preview-preview {\n\tfloat: right;\n\twidth: 48%;\n\tborder: 1px solid <<colour tiddler-editor-border>>;\n\tmargin: 4px 3px 3px 3px;\n\tpadding: 3px 3px 3px 3px;\n}\n\n.tc-tiddler-preview-edit {\n\twidth: 48%;\n}\n\n.tc-edit-fields {\n\twidth: 100%;\n}\n\n\n.tc-edit-fields table, .tc-edit-fields tr, .tc-edit-fields td {\n\tborder: none;\n\tpadding: 4px;\n}\n\n.tc-edit-fields > tbody > .tc-edit-field:nth-child(odd) {\n\tbackground-color: <<colour tiddler-editor-fields-odd>>;\n}\n\n.tc-edit-fields > tbody > .tc-edit-field:nth-child(even) {\n\tbackground-color: <<colour tiddler-editor-fields-even>>;\n}\n\n.tc-edit-field-name {\n\ttext-align: right;\n}\n\n.tc-edit-field-value input {\n\twidth: 100%;\n}\n\n.tc-edit-field-remove {\n}\n\n.tc-edit-field-remove svg {\n\theight: 1em;\n\twidth: 1em;\n\tfill: <<colour muted-foreground>>;\n\tvertical-align: middle;\n}\n\n.tc-edit-field-add-name {\n\tdisplay: inline-block;\n\twidth: 15%;\n}\n\n.tc-edit-field-add-value {\n\tdisplay: inline-block;\n\twidth: 40%;\n}\n\n.tc-edit-field-add-button {\n\tdisplay: inline-block;\n\twidth: 10%;\n}\n\n/*\n** Storyview Classes\n*/\n\n.tc-storyview-zoomin-tiddler {\n\tposition: absolute;\n\tdisplay: block;\n\twidth: 100%;\n\twidth: calc(100% - 84px);\n}\n\n/*\n** Dropdowns\n*/\n\n.tc-btn-dropdown {\n\ttext-align: left;\n}\n\n.tc-btn-dropdown svg, .tc-btn-dropdown img {\n\theight: 1em;\n\twidth: 1em;\n\tfill: <<colour muted-foreground>>;\n}\n\n.tc-drop-down-wrapper {\n\tposition: relative;\n}\n\n.tc-drop-down {\n\tmin-width: 380px;\n\tborder: 1px solid <<colour dropdown-border>>;\n\tbackground-color: <<colour dropdown-background>>;\n\tpadding: 7px 0 7px 0;\n\tmargin: 4px 0 0 0;\n\twhite-space: nowrap;\n\ttext-shadow: none;\n\tline-height: 1.4;\n}\n\n.tc-drop-down .tc-drop-down {\n\tmargin-left: 14px;\n}\n\n.tc-drop-down button svg, .tc-drop-down a svg {\n\tfill: <<colour foreground>>;\n}\n\n.tc-drop-down button.tc-btn-invisible:hover svg {\n\tfill: <<colour foreground>>;\n}\n\n.tc-drop-down p {\n\tpadding: 0 14px 0 14px;\n}\n\n.tc-drop-down svg {\n\twidth: 1em;\n\theight: 1em;\n}\n\n.tc-drop-down img {\n\twidth: 1em;\n}\n\n.tc-drop-down-language-chooser img {\n\twidth: 2em;\n\tvertical-align: baseline;\n}\n\n.tc-drop-down a, .tc-drop-down button {\n\tdisplay: block;\n\tpadding: 0 14px 0 14px;\n\twidth: 100%;\n\ttext-align: left;\n\tcolor: <<colour foreground>>;\n\tline-height: 1.4;\n}\n\n.tc-drop-down .tc-file-input-wrapper {\n\twidth: 100%;\n}\n\n.tc-drop-down .tc-file-input-wrapper button {\n\tcolor: <<colour foreground>>;\n}\n\n.tc-drop-down a:hover, .tc-drop-down button:hover, .tc-drop-down .tc-file-input-wrapper:hover button {\n\tcolor: <<colour tiddler-link-background>>;\n\tbackground-color: <<colour tiddler-link-foreground>>;\n\ttext-decoration: none;\n}\n\n.tc-drop-down .tc-tab-buttons button {\n\tbackground-color: <<colour dropdown-tab-background>>;\n}\n\n.tc-drop-down .tc-tab-buttons button.tc-tab-selected {\n\tbackground-color: <<colour dropdown-tab-background-selected>>;\n\tborder-bottom: 1px solid <<colour dropdown-tab-background-selected>>;\n}\n\n.tc-drop-down-bullet {\n\tdisplay: inline-block;\n\twidth: 0.5em;\n}\n\n.tc-drop-down .tc-tab-contents a {\n\tpadding: 0 0.5em 0 0.5em;\n}\n\n.tc-block-dropdown-wrapper {\n\tposition: relative;\n}\n\n.tc-block-dropdown {\n\tposition: absolute;\n\tmin-width: 220px;\n\tborder: 1px solid <<colour dropdown-border>>;\n\tbackground-color: <<colour dropdown-background>>;\n\tpadding: 7px 0;\n\tmargin: 4px 0 0 0;\n\twhite-space: nowrap;\n\tz-index: 1000;\n}\n\n.tc-block-dropdown a {\n\tdisplay: block;\n\tpadding: 4px 14px 4px 14px;\n}\n\n.tc-drop-down .tc-dropdown-item,\n.tc-block-dropdown .tc-dropdown-item {\n\tpadding: 4px 14px 4px 7px;\n\tcolor: <<colour muted-foreground>>;\n}\n\n.tc-block-dropdown a:hover {\n\tcolor: <<colour tiddler-link-background>>;\n\tbackground-color: <<colour tiddler-link-foreground>>;\n\ttext-decoration: none;\n}\n\n/*\n** Modals\n*/\n\n.tc-modal-wrapper {\n\tposition: fixed;\n\toverflow: auto;\n\toverflow-y: scroll;\n\ttop: 0;\n\tright: 0;\n\tbottom: 0;\n\tleft: 0;\n}\n\n.tc-modal-backdrop {\n\tposition: fixed;\n\ttop: 0;\n\tright: 0;\n\tbottom: 0;\n\tleft: 0;\n\tz-index: 1000;\n\tbackground-color: <<colour modal-backdrop>>;\n}\n\n.tc-modal {\n\tz-index: 1100;\n\tbackground-color: <<colour modal-background>>;\n\tborder: 1px solid <<colour modal-border>>;\n}\n\n@media (max-width: 55em) {\n\t.tc-modal {\n\t\tposition: fixed;\n\t\ttop: 1em;\n\t\tleft: 1em;\n\t\tright: 1em;\n\t}\n\n\t.tc-modal-body {\n\t\toverflow-y: auto;\n\t\tmax-height: 400px;\n\t}\n}\n\n@media (min-width: 55em) {\n\t.tc-modal {\n\t\tposition: relative;\n\t\twidth: 50%;\n\t\tmargin: 30px auto;\n\t}\n}\n\n.tc-modal-header {\n\tpadding: 9px 15px;\n\tborder-bottom: 1px solid <<colour modal-header-border>>;\n}\n\n.tc-modal-header h3 {\n\tmargin: 0;\n\tline-height: 30px;\n}\n\n.tc-modal-body {\n\tpadding: 15px;\n}\n\n.tc-modal-footer {\n\tpadding: 14px 15px 15px;\n\tmargin-bottom: 0;\n\ttext-align: right;\n\tbackground-color: <<colour modal-footer-background>>;\n\tborder-top: 1px solid <<colour modal-footer-border>>;\n}\n\n/*\n** Notifications\n*/\n\n.tc-notification {\n\tposition: fixed;\n\ttop: 14px;\n\tright: 42px;\n\tz-index: 1300;\n\tmax-width: 280px;\n\tpadding: 0 14px 0 14px;\n\tbackground-color: <<colour notification-background>>;\n\tborder: 1px solid <<colour notification-border>>;\n}\n\n/*\n** Tabs\n*/\n\n.tc-tab-set.tc-vertical {\n\tdisplay: -webkit-flex;\n\tdisplay: flex;\n}\n\n.tc-tab-buttons {\n\tfont-size: 0.85em;\n\tpadding-top: 1em;\n\tmargin-bottom: -2px;\n}\n\n.tc-tab-buttons.tc-vertical {\n\tz-index: 100;\n\tdisplay: block;\n\tpadding-top: 14px;\n\tvertical-align: top;\n\ttext-align: right;\n\tmargin-bottom: inherit;\n\tmargin-right: -1px;\n\tmax-width: 33%;\n\t-webkit-flex: 0 0 auto;\n\tflex: 0 0 auto;\n}\n\n.tc-tab-buttons button.tc-tab-selected {\n\tcolor: <<colour tab-foreground-selected>>;\n\tbackground-color: <<colour tab-background-selected>>;\n\tborder-left: 1px solid <<colour tab-border-selected>>;\n\tborder-top: 1px solid <<colour tab-border-selected>>;\n\tborder-right: 1px solid <<colour tab-border-selected>>;\n}\n\n.tc-tab-buttons button {\n\tcolor: <<colour tab-foreground>>;\n\tpadding: 3px 5px 3px 5px;\n\tfont-weight: 300;\n\tborder: none;\n\tbackground: inherit;\n\tbackground-color: <<colour tab-background>>;\n\tborder-left: 1px solid <<colour tab-border>>;\n\tborder-top: 1px solid <<colour tab-border>>;\n\tborder-right: 1px solid <<colour tab-border>>;\n\tborder-top-left-radius: 2px;\n\tborder-top-right-radius: 2px;\n}\n\n.tc-tab-buttons.tc-vertical button {\n\tdisplay: block;\n\twidth: 100%;\n\tmargin-top: 3px;\n\ttext-align: right;\n\tbackground-color: <<colour tab-background>>;\n\tborder-left: 1px solid <<colour tab-border>>;\n\tborder-bottom: 1px solid <<colour tab-border>>;\n\tborder-right: none;\n\tborder-top-left-radius: 2px;\n\tborder-bottom-left-radius: 2px;\n}\n\n.tc-tab-buttons.tc-vertical button.tc-tab-selected {\n\tbackground-color: <<colour tab-background-selected>>;\n\tborder-right: 1px solid <<colour tab-background-selected>>;\n}\n\n.tc-tab-divider {\n\tborder-top: 1px solid <<colour tab-divider>>;\n}\n\n.tc-tab-divider.tc-vertical {\n\tdisplay: none;\n}\n\n.tc-tab-content {\n\tmargin-top: 14px;\n}\n\n.tc-tab-content.tc-vertical {\n\tdisplay: inline-block;\n\tvertical-align: top;\n\tpadding-top: 0;\n\tpadding-left: 14px;\n\tborder-left: 1px solid <<colour tab-border>>;\n\t-webkit-flex: 1 0 70%;\n\tflex: 1 0 70%;\n}\n\n.tc-sidebar-lists .tc-tab-buttons {\n\tmargin-bottom: -1px;\n}\n\n.tc-sidebar-lists .tc-tab-buttons button.tc-tab-selected {\n\tbackground-color: <<colour sidebar-tab-background-selected>>;\n\tcolor: <<colour sidebar-tab-foreground-selected>>;\n\tborder-left: 1px solid <<colour sidebar-tab-border-selected>>;\n\tborder-top: 1px solid <<colour sidebar-tab-border-selected>>;\n\tborder-right: 1px solid <<colour sidebar-tab-border-selected>>;\n}\n\n.tc-sidebar-lists .tc-tab-buttons button {\n\tbackground-color: <<colour sidebar-tab-background>>;\n\tcolor: <<colour sidebar-tab-foreground>>;\n\tborder-left: 1px solid <<colour sidebar-tab-border>>;\n\tborder-top: 1px solid <<colour sidebar-tab-border>>;\n\tborder-right: 1px solid <<colour sidebar-tab-border>>;\n}\n\n.tc-sidebar-lists .tc-tab-divider {\n\tborder-top: 1px solid <<colour sidebar-tab-divider>>;\n}\n\n.tc-more-sidebar .tc-tab-buttons button {\n\tbackground-color: <<colour sidebar-tab-background>>;\n\tborder-top: none;\n\tborder-left: none;\n\tborder-bottom: none;\n\tborder-right: 1px solid #ccc;\n\tmargin-bottom: inherit;\n}\n\n.tc-more-sidebar .tc-tab-buttons button.tc-tab-selected {\n\tbackground-color: <<colour sidebar-tab-background-selected>>;\n\tborder: none;\n}\n\n/*\n** Alerts\n*/\n\n.tc-alerts {\n\tposition: fixed;\n\ttop: 0;\n\tleft: 0;\n\tmax-width: 500px;\n\tz-index: 20000;\n}\n\n.tc-alert {\n\tposition: relative;\n\tmargin: 28px;\n\tpadding: 14px 14px 14px 14px;\n\tborder: 2px solid <<colour alert-border>>;\n\tbackground-color: <<colour alert-background>>;\n}\n\n.tc-alert-toolbar {\n\tposition: absolute;\n\ttop: 14px;\n\tright: 14px;\n}\n\n.tc-alert-toolbar svg {\n\tfill: <<colour alert-muted-foreground>>;\n}\n\n.tc-alert-subtitle {\n\tcolor: <<colour alert-muted-foreground>>;\n\tfont-weight: bold;\n}\n\n.tc-alert-highlight {\n\tcolor: <<colour alert-highlight>>;\t\n}\n\n.tc-static-alert {\n\tposition: relative;\n}\n\n.tc-static-alert-inner {\n\tpadding: 0 2px 2px 42px;\n\tcolor: <<colour static-alert-foreground>>;\n\tposition: absolute;\n}\n\n/*\n** Control panel\n*/\n\n.tc-control-panel td {\n\tpadding: 4px;\n}\n\n.tc-control-panel table, .tc-control-panel table input, .tc-control-panel table textarea {\n\twidth: 100%;\n}\n\n.tc-plugin-info {\n\tdisplay: block;\n\tborder: 1px solid <<colour muted-foreground>>;\n\tbackground-colour: <<colour background>>;\n\tmargin: 1em 0 1em 0;\n\tpadding: 8px;\n}\n\n.tc-plugin-info-disabled {\n\tbackground: -webkit-repeating-linear-gradient(45deg, #ff0, #ff0 10px, #eee 10px, #eee 20px);\n\tbackground: repeating-linear-gradient(45deg, #ff0, #ff0 10px, #eee 10px, #eee 20px);\n}\n\n.tc-plugin-info-disabled:hover {\n\tbackground: -webkit-repeating-linear-gradient(45deg, #aa0, #aa0 10px, #888 10px, #888 20px);\n\tbackground: repeating-linear-gradient(45deg, #aa0, #aa0 10px, #888 10px, #888 20px);\n}\n\na.tc-tiddlylink.tc-plugin-info:hover {\n\ttext-decoration: none;\n\tbackground-color: <<colour primary>>;\n\tcolor: <<colour background>>;\n\tfill: <<colour foreground>>;\n}\n\na.tc-tiddlylink.tc-plugin-info:hover svg {\n\tfill: <<colour foreground>>;\n}\n\n.tc-plugin-info-chunk {\n\tdisplay: inline-block;\n\tvertical-align: middle;\t\n}\n\na.tc-plugin-info img, a.tc-plugin-info svg {\n\twidth: 2em;\n\theight: 2em;\n\tfill: <<colour muted-foreground>>;\n}\n\n.tc-plugin-info-dropdown {\n\tborder: 1px solid <<colour muted-foreground>>;\n\tpadding: 1em 1em 1em 1em;\n\tmargin-top: -1em;\n}\n\n/*\n** Message boxes\n*/\n\n.tc-message-box {\n\tborder: 1px solid <<colour message-border>>;\n\tbackground: <<colour message-background>>;\n\tpadding: 0px 21px 0px 21px;\n\tfont-size: 12px;\n\tline-height: 18px;\n\tcolor: <<colour message-foreground>>;\n}\n\n/*\n** Pictures\n*/\n\n.tc-bordered-image {\n\tborder: 1px solid <<colour muted-foreground>>;\n\tpadding: 5px;\n\tmargin: 5px;\n}\n\n/*\n** Floats\n*/\n\n.tc-float-right {\n\tfloat: right;\n}\n\n/*\n** Chooser\n*/\n\n.tc-chooser {\n\tborder: 1px solid <<colour table-border>>;\n}\n\n.tc-chooser-item {\n\tborder: 8px;\n}\n\n.tc-chooser-item a.tc-tiddlylink {\n\tdisplay: block;\n\ttext-decoration: none;\n\tcolor: <<colour tiddler-link-foreground>>;\n\tbackground-color: <<colour tiddler-link-background>>;\n\tmargin: 4px;\n}\n\n.tc-chooser-item a.tc-tiddlylink:hover {\n\ttext-decoration: none;\n\tcolor: <<colour tiddler-link-background>>;\n\tbackground-color: <<colour tiddler-link-foreground>>;\n}\n\n/*\n** Palette swatches\n*/\n\n.tc-swatches-horiz {\n}\n\n.tc-swatches-horiz .tc-swatch {\n\tdisplay: inline-block;\n}\n\n.tc-swatch {\n\twidth: 2em;\n\theight: 2em;\n\tmargin: 4px;\n\tborder: 1px solid #000;\n}\n\n/*\n** Table of contents\n*/\n\n.tc-sidebar-lists .tc-table-of-contents {\n\twhite-space: nowrap;\n}\n\n.tc-table-of-contents button {\n\tcolor: <<colour sidebar-foreground>>;\n}\n\n.tc-table-of-contents svg {\n\twidth: 0.7em;\n\theight: 0.7em;\n\tvertical-align: middle;\n\tfill: <<colour sidebar-foreground>>;\n}\n\n.tc-table-of-contents ol {\n\tlist-style-type: none;\n\tpadding-left: 0;\n}\n\n.tc-table-of-contents ol ol {\n\tpadding-left: 1em;\n}\n\n.tc-table-of-contents li {\n\tfont-size: 1.0em;\n\tfont-weight: bold;\n}\n\n.tc-table-of-contents li a {\n\tfont-weight: bold;\n}\n\n.tc-table-of-contents li li {\n\tfont-size: 0.95em;\n\tfont-weight: normal;\n\tline-height: 1.4;\n}\n\n.tc-table-of-contents li li a {\n\tfont-weight: normal;\n}\n\n.tc-table-of-contents li li li {\n\tfont-size: 0.95em;\n\tfont-weight: 200;\n\tline-height: 1.5;\n}\n\n.tc-table-of-contents li li li a {\n\tfont-weight: bold;\n}\n\n.tc-table-of-contents li li li li {\n\tfont-size: 0.95em;\n\tfont-weight: 200;\n}\n\n.tc-tabbed-table-of-contents {\n\tdisplay: -webkit-flex;\n\tdisplay: flex;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents {\n\tz-index: 100;\n\tdisplay: inline-block;\n\tpadding-left: 1em;\n\tmax-width: 50%;\n\t-webkit-flex: 0 0 auto;\n\tflex: 0 0 auto;\n\tbackground: <<colour tab-background>>;\n\tborder-left: 1px solid <<colour tab-border>>;\n\tborder-top: 1px solid <<colour tab-border>>;\n\tborder-bottom: 1px solid <<colour tab-border>>;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item > a,\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item-selected > a {\n\tdisplay: block;\n\tpadding: 0.12em 1em 0.12em 0.25em;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item > a {\n\tborder-top: 1px solid <<colour tab-background>>;\n\tborder-left: 1px solid <<colour tab-background>>;\n\tborder-bottom: 1px solid <<colour tab-background>>;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item > a:hover {\n\ttext-decoration: none;\n\tborder-top: 1px solid <<colour tab-border>>;\n\tborder-left: 1px solid <<colour tab-border>>;\n\tborder-bottom: 1px solid <<colour tab-border>>;\n\tbackground: <<colour tab-border>>;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item-selected > a {\n\tborder-top: 1px solid <<colour tab-border>>;\n\tborder-left: 1px solid <<colour tab-border>>;\n\tborder-bottom: 1px solid <<colour tab-border>>;\n\tbackground: <<colour background>>;\n\tmargin-right: -1px;\n}\n\n.tc-tabbed-table-of-contents .tc-table-of-contents .toc-item-selected > a:hover {\n\ttext-decoration: none;\n}\n\n.tc-tabbed-table-of-contents .tc-tabbed-table-of-contents-content {\n\tdisplay: inline-block;\n\tvertical-align: top;\n\tpadding-left: 1.5em;\n\tpadding-right: 1.5em;\n\tborder: 1px solid <<colour tab-border>>;\n\t-webkit-flex: 1 0 50%;\n\tflex: 1 0 50%;\n}\n\n/*\n** Dirty indicator\n*/\n\nbody.tc-dirty span.tc-dirty-indicator, body.tc-dirty span.tc-dirty-indicator svg {\n\tfill: <<colour dirty-indicator>>;\n\tcolor: <<colour dirty-indicator>>;\n}\n\n/*\n** File inputs\n*/\n\n.tc-file-input-wrapper {\n\tposition: relative;\n\toverflow: hidden;\n\tdisplay: inline-block;\n\tvertical-align: middle;\n}\n\n.tc-file-input-wrapper input[type=file] {\n\tposition: absolute;\n\ttop: 0;\n\tleft: 0;\n\tright: 0;\n\tbottom: 0;\n\tfont-size: 999px;\n\tmax-width: 100%;\n\tmax-height: 100%;\n\tfilter: alpha(opacity=0);\n\topacity: 0;\n\toutline: none;\n\tbackground: white;\n\tcursor: pointer;\n\tdisplay: inline-block;\n}\n\n/*\n** Errors\n*/\n\n.tc-error {\n\tbackground: #f00;\n\tcolor: #fff;\n}\n"
},
"$:/themes/tiddlywiki/vanilla/metrics/bodyfontsize": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/bodyfontsize",
"text": "15px"
},
"$:/themes/tiddlywiki/vanilla/metrics/bodylineheight": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/bodylineheight",
"text": "22px"
},
"$:/themes/tiddlywiki/vanilla/metrics/fontsize": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/fontsize",
"text": "14px"
},
"$:/themes/tiddlywiki/vanilla/metrics/lineheight": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/lineheight",
"text": "20px"
},
"$:/themes/tiddlywiki/vanilla/metrics/storyleft": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/storyleft",
"text": "0px"
},
"$:/themes/tiddlywiki/vanilla/metrics/storytop": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/storytop",
"text": "0px"
},
"$:/themes/tiddlywiki/vanilla/metrics/storyright": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/storyright",
"text": "770px"
},
"$:/themes/tiddlywiki/vanilla/metrics/storywidth": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/storywidth",
"text": "770px"
},
"$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/tiddlerwidth",
"text": "686px"
},
"$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint": {
"title": "$:/themes/tiddlywiki/vanilla/metrics/sidebarbreakpoint",
"text": "960px"
},
"$:/themes/tiddlywiki/vanilla/reset": {
"title": "$:/themes/tiddlywiki/vanilla/reset",
"type": "text/plain",
"text": "/*! normalize.css v3.0.0 | MIT License | git.io/normalize */\n\n/**\n * 1. Set default font family to sans-serif.\n * 2. Prevent iOS text size adjust after orientation change, without disabling\n * user zoom.\n */\n\nhtml {\n font-family: sans-serif; /* 1 */\n -ms-text-size-adjust: 100%; /* 2 */\n -webkit-text-size-adjust: 100%; /* 2 */\n}\n\n/**\n * Remove default margin.\n */\n\nbody {\n margin: 0;\n}\n\n/* HTML5 display definitions\n ========================================================================== */\n\n/**\n * Correct `block` display not defined in IE 8/9.\n */\n\narticle,\naside,\ndetails,\nfigcaption,\nfigure,\nfooter,\nheader,\nhgroup,\nmain,\nnav,\nsection,\nsummary {\n display: block;\n}\n\n/**\n * 1. Correct `inline-block` display not defined in IE 8/9.\n * 2. 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Correct color not being inherited.\n * Known issue: affects color of disabled elements.\n * 2. Correct font properties not being inherited.\n * 3. Address margins set differently in Firefox 4+, Safari 5, and Chrome.\n */\n\nbutton,\ninput,\noptgroup,\nselect,\ntextarea {\n color: inherit; /* 1 */\n font: inherit; /* 2 */\n margin: 0; /* 3 */\n}\n\n/**\n * Address `overflow` set to `hidden` in IE 8/9/10.\n */\n\nbutton {\n overflow: visible;\n}\n\n/**\n * Address inconsistent `text-transform` inheritance for `button` and `select`.\n * All other form control elements do not inherit `text-transform` values.\n * Correct `button` style inheritance in Firefox, IE 8+, and Opera\n * Correct `select` style inheritance in Firefox.\n */\n\nbutton,\nselect {\n text-transform: none;\n}\n\n/**\n * 1. Avoid the WebKit bug in Android 4.0.* where (2) destroys native `audio`\n * and `video` controls.\n * 2. Correct inability to style clickable `input` types in iOS.\n * 3. Improve usability and consistency of cursor style between image-type\n * `input` and others.\n */\n\nbutton,\nhtml input[type=\"button\"], /* 1 */\ninput[type=\"reset\"],\ninput[type=\"submit\"] {\n -webkit-appearance: button; /* 2 */\n cursor: pointer; /* 3 */\n}\n\n/**\n * Re-set default cursor for disabled elements.\n */\n\nbutton[disabled],\nhtml input[disabled] {\n cursor: default;\n}\n\n/**\n * Remove inner padding and border in Firefox 4+.\n */\n\nbutton::-moz-focus-inner,\ninput::-moz-focus-inner {\n border: 0;\n padding: 0;\n}\n\n/**\n * Address Firefox 4+ setting `line-height` on `input` using `!important` in\n * the UA stylesheet.\n */\n\ninput {\n line-height: normal;\n}\n\n/**\n * It's recommended that you don't attempt to style these elements.\n * Firefox's implementation doesn't respect box-sizing, padding, or width.\n *\n * 1. Address box sizing set to `content-box` in IE 8/9/10.\n * 2. Remove excess padding in IE 8/9/10.\n */\n\ninput[type=\"checkbox\"],\ninput[type=\"radio\"] {\n box-sizing: border-box; /* 1 */\n padding: 0; /* 2 */\n}\n\n/**\n * Fix the cursor style for Chrome's increment/decrement buttons. For certain\n * `font-size` values of the `input`, it causes the cursor style of the\n * decrement button to change from `default` to `text`.\n */\n\ninput[type=\"number\"]::-webkit-inner-spin-button,\ninput[type=\"number\"]::-webkit-outer-spin-button {\n height: auto;\n}\n\n/**\n * 1. Address `appearance` set to `searchfield` in Safari 5 and Chrome.\n * 2. Address `box-sizing` set to `border-box` in Safari 5 and Chrome\n * (include `-moz` to future-proof).\n */\n\ninput[type=\"search\"] {\n -webkit-appearance: textfield; /* 1 */\n -moz-box-sizing: content-box;\n -webkit-box-sizing: content-box; /* 2 */\n box-sizing: content-box;\n}\n\n/**\n * Remove inner padding and search cancel button in Safari and Chrome on OS X.\n * Safari (but not Chrome) clips the cancel button when the search input has\n * padding (and `textfield` appearance).\n */\n\ninput[type=\"search\"]::-webkit-search-cancel-button,\ninput[type=\"search\"]::-webkit-search-decoration {\n -webkit-appearance: none;\n}\n\n/**\n * Define consistent border, margin, and padding.\n */\n\nfieldset {\n border: 1px solid #c0c0c0;\n margin: 0 2px;\n padding: 0.35em 0.625em 0.75em;\n}\n\n/**\n * 1. Correct `color` not being inherited in IE 8/9.\n * 2. Remove padding so people aren't caught out if they zero out fieldsets.\n */\n\nlegend {\n border: 0; /* 1 */\n padding: 0; /* 2 */\n}\n\n/**\n * Remove default vertical scrollbar in IE 8/9.\n */\n\ntextarea {\n overflow: auto;\n}\n\n/**\n * Don't inherit the `font-weight` (applied by a rule above).\n * NOTE: the default cannot safely be changed in Chrome and Safari on OS X.\n */\n\noptgroup {\n font-weight: bold;\n}\n\n/* Tables\n ========================================================================== */\n\n/**\n * Remove most spacing between table cells.\n */\n\ntable {\n border-collapse: collapse;\n border-spacing: 0;\n}\n\ntd,\nth {\n padding: 0;\n}\n"
},
"$:/themes/tiddlywiki/vanilla/settings/fontfamily": {
"title": "$:/themes/tiddlywiki/vanilla/settings/fontfamily",
"text": "\"Helvetica Neue\", Helvetica, Arial, \"Lucida Grande\", sans-serif"
}
}
}
This work may be copied, distributed, and/or modified under the
conditions
of the Creative Commons Attribution-NonCommercial-ShareAlike 3.0
Unported License.
The work may be used for free by any party so long as attribution is
given to the authors, that the work and its derivatives are used in the
spirit of “share and share alike,” and that no party may sell this work
or any of its derivatives for profit, with the following exception: ''it
is entirely acceptable for university bookstores to sell bound
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copying expense.'' Full details may be found by visiting
[`http://creativecommons.org/licenses/by-nc-sa/3.0/`]
(http://creativecommons.org/licenses/by-nc-sa/3.0/)
"""
or by contacting:
Creative Commons,
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Suite 900, Mountain
View, California,
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"""
The Current Maintainer of this work is Matt Boelkins.
First print edition: & August 2014
<h3>[[Boelkins, M.]]</h3>
[[Austin, D]]. and [[Schlicker, S]].
[[Orthogonal Publishing L3C]]: (http://orthogonalpublishing.com/)
Includes illustrations, links to Java applets, and index.
Cover photo: James Haefner Photography.
ISBN 978-0-9898975-3-2
<center>
[img width=50% [Cover.png]]
</center>
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!bookcaption}}>
!!A free and open-source calculus
Several fundamental ideas in calculus are more than 2000 years old. As a
formal subdiscipline of mathematics, calculus was first introduced and
developed in the late 1600s, with key independent contributions from Sir
Isaac Newton and Gottfried Wilhelm Leibniz. Mathematicians agree that
the subject has been understood rigorously since the work of Augustin
Louis Cauchy and Karl Weierstrass in the mid 1800s when the field of
modern analysis was developed, in part to make sense of the infinitely
small quantities on which calculus rests. Hence, as a body of knowledge
calculus has been completely understood by experts for at least 150
years. The discipline is one of our great human intellectual
achievements: among many spectacular ideas, calculus models how objects
fall under the forces of gravity and wind resistance, explains how to
compute areas and volumes of interesting shapes, enables us to work
rigorously with infinitely small and infinitely large quantities, and
connects the varying rates at which quantities change to the total
change in the quantities themselves.
While each author of a calculus textbook certainly offers her own
creative perspective on the subject, it is hardly the case that many of
the ideas she presents are new. Indeed, the mathematics community
broadly agrees on what the main ideas of calculus are, as well as their
justification and their importance; the core parts of nearly all
calculus textbooks are very similar. As such, it is our opinion that in
the 21st century – an age where the internet permits seamless and
immediate transmission of information – no one should be required to
purchase a calculus text to read, to use for a class, or to find a
coherent collection of problems to solve. Calculus belongs to humankind,
not any individual author or publishing company. Thus, a main purpose of
this work is to present a new calculus text that is ''free''. In addition,
instructors who are looking for a calculus text should have the
opportunity to download the source files and make modifications that
they see fit; thus this text is ''open-source''. Since August 2013,
''Active Calculus'' has been endorsed by the American Institute of
Mathematics and its [[Open Textbook Initiative|http://aimath.org/textbooks/]].
Because the text is free, any professor or student may use the
electronic version of the text for no charge. A .pdf copy of the text
may be obtained by download from [[http://gvsu.edu/s/xr|http://gvsu.edu/s/xr]] where the user will also find other ancillary materials, as well as
instructions for how to obtain a low-cost, bound, print-on-demand
version of the text.
Because the text is open-source, any instructor may acquire the full set
of source files, by request to the author at
[[boelkinm@gvsu.edu|mailto:boelkinm@gvsu.edu]]
This work is licensed under the Creative Commons
Attribution-NonCommercial-ShareAlike 3.0 Unported License. The graphic
that appears throughout the text shows that the work is licensed with
the Creative Commons, that the work may be used for free by any party so
long as attribution is given to the author(s), that the work and its
derivatives are used in the spirit of “share and share alike,” and that
no party may sell this work or any of its derivatives for profit, with
the following exception: ''it is entirely acceptable for university
bookstores to sell bound photocopied copies of the activities workbook
to students at their standard markup above the copying expense.'' Full
details may be found by visiting
[[http://creativecommons.org/licenses/by-nc-sa/3.0/|http://creativecommons.org/licenses/by-nc-sa/3.0/]]
"""
or sending a letter to
Creative Commons, 444 Castro Street,
Suite 900,
Mountain View,
California,
94041,
USA.
"""
!!Active Calculus: our goals
In ''Active Calculus'', we endeavor to actively engage students in
learning the subject through an activity-driven approach in which the
vast majority of the examples are completed by students. Where many
texts present a general theory of calculus followed by substantial
collections of worked examples, we instead pose problems or situations,
consider possibilities, and then ask students to investigate and
explore. Following key activities or examples, the presentation normally
includes some overall perspective and a brief synopsis of general trends
or properties, followed by formal statements of rules or theorems. While
we often offer plausibility arguments for such results, rarely do we
include formal proofs. It is not the intent of this text for the
instructor or author to ''demonstrate'' to students that the ideas of
calculus are coherent and true, but rather for students to ''encounter''
these ideas in a supportive, leading manner that enables them to begin
to understand for themselves why calculus is both coherent and true.
This approach is consistent with the following goals:
''To have students engage in an active, inquiry-driven approach, where learners strive to construct solutions and approaches to ideas on their own, with appropriate support through questions posed, hints, and guidance from the instructor and text.
''To build in students intuition for why the main ideas in calculus are natural and true. Often, we do this through consideration of the instantaneous position and velocity of a moving object, a scenario that is common and familiar.
''To challenge students to acquire deep, personal understanding of calculus through reading the text and completing preview activities on their own, through working on activities in small groups in class, and through doing substantial exercises outside of class time.
''To strengthen students’ written and oral communicating skills by having them write about and explain aloud the key ideas of calculus.
Instructors and students alike will find several consistent features in
the presentation, including:
!!!Motivating Questions.
At the start of each section, we
list 2-3 ''motivating questions'' that provide motivation for why the
following material is of interest to us. One goal of each section is to
answer each of the motivating questions.
''Preview Activities'' Each section of the text begins
with a short introduction, followed by a ''preview activity''. This brief
reading and the preview activity are designed to foreshadow the upcoming
ideas in the remainder of the section; both the reading and preview
activity are intended to be accessible to students ''in advance'' of
class, and indeed to be completed by students before a day on which a
particular section is to be considered.
''Activities.'' A typical section in the text has three
''activities''. These are designed to engage students in an inquiry-based
style that encourages them to construct solutions to key examples on
their own, working individually or in small groups.
''Exercises.'' There are dozens of calculus texts with
(collectively) tens of thousands of exercises. Rather than repeat
standard and routine exercises in this text, we recommend the use of
WeBWorK with its access to the National Problem Library and around
20,000 calculus problems. In this text, there are approximately four
challenging exercises per section. Almost every such exercise has
multiple parts, requires the student to connect several key ideas, and
expects that the student will do at least a modest amount of writing to
answer the questions and explain their findings. For instructors
interested in a more conventional source of exercises, consider the
freely available text by Gilbert Strang of MIT, available in .pdf format
from the MIT open courseware site via
http://gvsu.edu/s/bh.
''Graphics.'' As much as possible, we strive to demonstrate
key fundamental ideas visually, and to encourage students to do the
same. Throughout the text, we use full-color[^1] graphics to exemplify
and magnify key ideas, and to use this graphical perspective alongside
both numerical and algebraic representations of calculus.
To keep cost low, the graphics in the print-on-demand version are
in black and white. When the text itself refers to color in images,
one needs to view the .pdf file electronically.
''Links to Java Applets.'' Many of the ideas of calculus
are best understood dynamically; java applets offer an often ideal
format for investigations and demonstrations. Relying primarily on the
work of David Austin of Grand Valley State University and Marc Renault
of Shippensburg University, each of whom has developed a large library
of applets for calculus, we frequently point the reader (through active
links in the .pdf version of the text) to applets that are relevant for
key ideas under consideration.
''Summary of Key Ideas.'' Each section concludes with a
summary of the key ideas encountered in the preceding section; this
summary normally reflects responses to the motivating questions that
began the section.
This text may be used as a stand-alone textbook for a standard first
semester college calculus course or as a supplement to a more
traditional text. Chapters [C:1]-[C:4] address the typical topics for
differential calculus, while Chapters [C:5]-[C:8] provide the standard
topics of integral calculus, including a chapter on differential
equations (Chapter [C:7]) and on infinite series (Chapter [C:8]).
Because students and instructors alike have access to the book in .pdf
format, there are several advantages to the text over a traditional
print text. One is that the text may be projected on a screen in the
classroom (or even better, on a whiteboard) and the instructor may
reference ideas in the text directly, add comments or notation or
features to graphs, and indeed write right on the text itself. Students
can do likewise, choosing to print only whatever portions of the text
are needed for them. In addition, the electronic version of the text
includes live html links to java applets, so student and instructor
alike may follow those links to additional resources that lie outside
the text itself. Finally, students can have access to a copy of the text
anywhere they have a computer, either by downloading the .pdf to their
local machine or by the instructor posting the text on a course web
site.
Each section of the text has a preview activity and at least three
in-class activities embedded in the discussion. As it is the expectation
that students will complete all of these activities, it is ideal for
them to have room to work on them adjacent to the problem statements
themselves. As a separate document, we have compiled a workbook of
activities that includes only the individual activity prompts, along
with space provided for students to write their responses. This workbook
is the one printing expense that students will almost certainly have to
undertake, and is available along with the text itself at
http://gvsu.edu/s/xr/.
There are also options in the source files for compiling the activities
workbook with hints for each activity, or even full solutions. These
options can be engaged at the instructor’s discretion, or upon request
to the author.
Because this text is free and open-source, we hope that as people use
the text, they will contribute corrections, suggestions, and new
material. At this time, the best way to communicate such feedback is by
email to Matt Boelkins at
[[boelkinm@gvsu.edu|mailto:boelkinm@gvsu.edu]]. We have also started
the [[blog|http://opencalculus.wordpress.com/]],
at which we will post feedback received by email as well as other points
of discussion, to which readers may post additional comments and
feedback.
The following people have generously contributed to the development or
improvement of the text. Contributing authors David Austin and Steven
Schlicker have each written drafts of at least one chapter of the text.
The following contributing editors have offered significant feedback
that includes information about typographical errors or suggestions to
improve the exposition.
Will Dickinson - GVSU
Marcia Frobish - GVSU
Hugh McGuire - GVSU
Ray Rosentrater - Westmont College
Luis Sanjuan - Conservatorio Profesional de Música de Ávila, Spain
Brian Stanley - Foothill Community College
Robert Talbert - GVSU
Sue Van Hattum - Contra Costa College
This text began as my sabbatical project in the winter semester of 2012,
during which I wrote the preponderance of the materials for the first
four chapters. For the sabbatical leave, I am indebted to Grand Valley
State University for its support of the project and the time to write,
as well as to my colleagues in the Department of Mathematics and the
College of Liberal Arts and Sciences for their endorsement of the
project as a valuable undertaking.
The beautiful full-color .eps graphics in the text are only possible
because of David Austin of GVSU and Bill Casselman of the University of
British Columbia. Building on their collective longstanding efforts to
develop tools for high quality mathematical graphics, David wrote a
library of Python routines that build on Bill’s PiScript program
(available via http://gvsu.edu/s/bi), and
David’s routines are so easy to use that even I could generate graphics
like the professionals that he and Bill are. I am deeply grateful to
them both.
For the print-on-demand version of the text (see
[[http://gvsu.edu/s/xr/|http://gvsu.edu/s/xr/]], I am thankful for the
support of Lon Mitchell and [[Orthogonal Publishing L3C|http://orthogonalpublishing.com/]]. Lon has provided considerable
guidance on LaTeX and related typesetting issues, and has volunteered
his time throughout the production process. I met Lon at a special
session devoted to open textbooks at the 2014 Joint Mathematics
Meetings; I am grateful as well to the organizers of that session who
are part of a growing community of mathematicians committed to free and
open texts. You can start to learn more about their work at
[[http://www.openmathbook.org/|http://www.openmathbook.org/]] and
[[http://aimath.org/textbooks/|http://aimath.org/textbooks/]].
Over my more than 15 years at GVSU, many of my colleagues have shared
with me ideas and resources for teaching calculus. I am particularly
indebted to David Austin, Will Dickinson, Paul Fishback, Jon Hodge, and
Steve Schlicker for their contributions that improved my teaching of and
thinking about calculus, including materials that I have modified and
used over many different semesters with students. Parts of these ideas
can be found throughout this text. In addition, Will Dickinson and Steve
Schlicker provided me access to a large number of their electronic notes
and activities from teaching of differential and integral calculus, and
those ideas and materials have similarly impacted my work and writing in
positive ways, with some of their problems and approaches finding
parallel presentation here.
Shelly Smith of GVSU and Matt Delong of Taylor University both provided
extensive comments on the first few chapters of early drafts, feedback
that was immensely helpful in improving the text. As more and more
people use the text, I am grateful to everyone who reads, edits, and
uses this book, and hence contributes to its improvement through ongoing
discussion.
Finally, I am grateful for all that my students have taught me over the
years. Their responses and feedback have helped to shape me as a
teacher, and I appreciate their willingness to wholeheartedly engage in
the activities and approaches I’ve tried in class, to let me know how
those affect their learning, and to help me learn and grow as an
instructor. Most recently, they’ve provided useful editorial feedback on
an early version of this text.
Any and all remaining errors or inconsistencies are mine. I will gladly
take reader and user feedback to correct them, along with other
suggestions to improve the text.
Matt Boelkins, Allendale, MI
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The following questions concern the position function given by $$s(t) = 64 - 16(t-1)^2$$, which is the same function considered in <<reference 1.1.PA1>>.
''a)'' Compute the average velocity of the ball on each of the following time
intervals: $$[0.4,0.8]$$, $$[0.7,0.8]$$, $$[0.79, 0.8]$$, $$[0.799,0.8]$$,
$$[0.8,1.2]$$, $$[0.8,0.9]$$, $$[0.8,0.81]$$, $$[0.8,0.801]$$. Include units for
each value.
''b)'' On the provided graph in <<figreference 1_1_Act1.svg>>, sketch the line that
passes through the points $$A=(0.4, s(0.4))$$ and $$B=(0.8, s(0.8))$$. What
is the meaning of the slope of this line? In light of this meaning, what
is a geometric way to interpret each of the values computed in the
preceding question?
''c)'' Use a graphing utility to plot the graph of $$s(t) = 64 - 16(t-1)^2$$ on
an interval containing the value $$t = 0.8$$. Then, zoom in repeatedly on
the point $$(0.8, s(0.8))$$. What do you observe about how the graph
appears as you view it more and more closely?
''d)'' What do you conjecture is the velocity of the ball at the instant
$$t = 0.8$$? Why?
On $$[0.4,0.8]$$, the average velocity is
$$AV_{[0.4,0.8]} = \frac{s(0.8)-s(0.4)}{0.8-0.4}$$ ft/sec.
Remember that the slope of a line can be found by taking “rise over
run.” In this context, the slope is found by computing “change in $$s$$
over change in $$t$$.”
While the curve $$s(t)$$ is a parabola, how does it look up close on a
very small interval?
“Instantaneous” velocity can be approximated by average velocity on a
very small interval.
On $$[0.4,0.8]$$, the average velocity is
$$AV_{[0.4,0.8]} = \frac{s(0.8)-s(0.4)}{0.8-0.4}$$ ft/sec. Each of the
other average velocities is computed similarly.
Remember that the slope of a line can be found by taking “rise over
run.” In this context, the slope is found by computing “change in $$s$$
over change in $$t$$.” Note that each average velocity
$$\frac{s(b)-s(a)}{b-a}$$ can be viewed as the slope of a line between
$$(a,s(a))$$ and $$(b,s(b))$$.
While the curve $$s(t)$$ is a parabola, how does it look up close on a
very small interval? What type of familiar function seems to emerge?
“Instantaneous” velocity can be approximated by average velocity on a
very small interval. Are the numbers you computed in (a) getting close
to a particular value as we look at smaller and smaller intervals
surrounding $$t = 0.8$$?
On $$[0.4,0.8]$$, the average velocity is
$$AV_{[0.4,0.8]} = \frac{s(0.8)-s(0.4)}{0.8-0.4} = \frac{63.36-58.24}{0.4} = 12.8$$
ft/sec. On $$[0.7,0.8]$$, the average velocity is 8 ft/sec. The other
average velocities are, respectively (in the order of the intervals
listed in the activity), 6.56, 6.416, 0, 4.8, 6.24, 6.384, all measured
in feet per second.
The slope of the line between $$A(0.4, s(0.4))$$ and $$B(0.8, s(0.8))$$ is
$$\frac{s(0.8)-s(0.4)}{0.8-0.4} = 12.8$$. This is precisely the average
velocity of the ball between $$t = 0.4$$ and $$t = 0.8$$, and indeed each of
the average velocities computed in (a) can be viewed as the slope of the
line joining the points $$(a,s(a))$$ and $$(b,s(b))$$.
<<figure 1_1_Act1Soln.svg>>
As we zoom in on the curve $$s(t) = 64 - 16(t-1)^2$$ at the point
$$(0.5, 60)$$, the graph begins to look like a straight line. Indeed, it
appears to look like a straight line with slope about 6.4.
Observe that the average velocity of the ball on the intervals
$$[0.799,0.8]$$ and $$[0.8,0.801]$$ is 6.416 and 6.384 feet/sec
respectively. Hence it appears that the ball’s velocity at the instant
$$t = 0.8$$ should be about 6.4 feet per second.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Each of the following questions concern $$s(t) = 64 - 16(t-1)^2$$, the
position function from <<reference 1.1.PA1>>
''a)'' Compute the average velocity of the ball on the time interval $$[1.5,2]$$.
What is different between this value and the average velocity on the
interval $$[0,0.5]$$?
''b)'' Use appropriate computing technology to estimate the instantaneous
velocity of the ball at $$t = 1.5$$. Likewise, estimate the instantaneous
velocity of the ball at $$t = 2$$. Which value is greater?
''c)'' How is the sign of the instantaneous velocity of the ball related to its
behavior at a given point in time? That is, what does positive
instantaneous velocity tell you the ball is doing? Negative
instantaneous velocity?
''d)'' Without doing any computations, what do you expect to be the
instantaneous velocity of the ball at $$t = 1$$? Why?
Remember to use the formula for average velocity from above:
$$AV_{[a,b]} = \frac{s(b)-s(a)}{b-a}$$. Think carefully about whether
certain quantities are positive or negative.
To estimate the instantaneous velocity at $$t = 1.5$$, consider average
velocities on the intervals $$[1.499,1.5]$$ and $$[1.5,1.501]$$.
Think about whether the ball is rising or falling.
What is the average velocity of the ball on small intervals that contain
$$t = 0$$?
$$AV_{[1.5,2]} = \frac{s(2)-s(1.5)}{2-1.5}$$. Your result should be
negative since $$s(2) < s(1.5)$$.
To estimate the instantaneous velocity at $$t = 1.5$$, consider average
velocities on the intervals $$[1.499,1.5]$$ and $$[1.5,1.501]$$.
You should find in (a) that the instantaneous velocity at $$t = 1.5$$ is
negative, while earlier we found that the instantaneous velocity at
$$t = 0.5$$ is positive. How are these signs connected to whether the ball
is rising or falling?
Think about the line through the points $$(0.999,s(0.999))$$ and
$$(1,s(1))$$ will look like given the “special” role of $$(1,s(1))$$ on the
graph of $$s(t)$$.
$$AV_{[1.5,2]} = \frac{s(2)-s(1.5)}{2-1.5} = -24$$ ft/sec. We note that
this average velocity is negative, and in fact is the opposite of the
average velocity of 24 ft/sec on the interval $$[0,0.5]$$.
Since $$AV_{[1.499,1.5]} = -15.984$$ and $$AV_{[1.5, 1.501]} = -16.016$$, it
appears that the instantaneous velocity of the ball at $$t = 1.5$$ is
approximately $$-16$$ ft/sec. Similar computations show that at $$t = 2$$,
it appears the instantaneous velocity is about $$-32$$ ft/sec. Note that
$$-16>-32$$, so the instantaneous velocity at $$t = 1.5$$ is greater because
it is “less negative.” Asking which number is “greater” is different
from asking which number is “more negative.”
When the ball is rising, its instantaneous velocity is positive, while
when the ball is falling, its instantaneous velocity is negative.
Note that $$(1,s(1))$$ is the vertex of the parabola given by $$s(t)$$. At
this point, the ball is neither rising nor falling. On intervals of the
form $$[a,1]$$, where $$a < 1$$, the average velocity of the ball is
positive; on intervals of form $$[1,b]$$, where $$b > 1$$, the average
velocity is positive. Hence we expect the instantaneous velocity of the
ball at the moment $$t = 1$$ to be zero.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}}>
For the function given by $$s(t) = 64 - 16(t-1)^2$$ from
<<reference 1.1.PA1>>, find the most simplified expression you can for the average
velocity of the ball on the interval $$[2, 2+h]$$. Use your result to
compute the average velocity on $$[1.5,2]$$ and to estimate the
instantaneous velocity at $$t = 2$$. Finally, compare your earlier work in
<<reference 1.1.Act1>>.
Note that
$$s(2+h) = 64 - 16(2+h-1)^2 = 64 - 16(1+h)^2$$ $$ = 64 - (16 + 32h + 16h^2) = 48 - 32h - 16h^2$$,
and then recall that $$AV_{[2, 2+h]} = \frac{s(2+h) - s(2)}{h}$$. Finally,
you can use a negative value for $$h$$ to help you find the desired average velocity.
Now, since we assume $$h \ne 0$$, we can simplify further to find that
$$AV_{[2, 2+h]} = -32 - 16h$$. Setting $$h = -0.5$$, it follows
$$AV_{[1.5,2]} = -32 + 16(0.5) = -24$$ ft/sec, and letting $$h$$ approach
zero, we see that $$-32 - 16h$$ will approach $$-32$$, so the instantaneous
velocity at $$t = 2$$ appears to be $$-32$$ feet/sec. Both results match our
earlier work in Activity [A:1.1.1].
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose that the height $$s$$ of a ball (in feet) at time $$t$$ (in seconds)
is given by the formula $$s(t) = 64 - 16(t-1)^2$$.
''a)'' Construct an accurate graph of $$y = s(t)$$ on the time interval
$$0 \le t \le 3$$. Label at least six distinct points on the graph,
including the three points that correspond to when the ball was
released, when the ball reaches its highest point, and when the ball
lands.
''b)'' In everyday language, describe the behavior of the ball on the time
interval $$0 < t < 1$$ and on time interval $$1 < t < 3$$. What occurs at
the instant $$t = 1$$?
''c)'' Consider the expression
$$AV_{[0.5,1]} = \frac{s(1) - s(0.5)}{1-0.5}.$$
Compute the value of $$AV_{[0.5,1]}$$. What does this value measure
geometrically? What does this value measure physically? In particular,
what are the units on $$AV_{[0.5,1]}$$?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A bungee jumper dives from a tower at time $$t=0$$. Her height
$$h$$ (measured in feet) at time $$t$$ (in seconds) is given by the graph in
<<figreference 1_1_Ez1.svg>>.
In this problem, you may base your answers on estimates from the graph or use the fact that the jumper’s height function is given by
$$s(t) = 100\cos(0.75t) \cdot e^{-0.2t}+100$$.
''a)'' What is the change in vertical position of the bungee jumper between
$$t=0$$ and $$t=15$$?
''b)'' Estimate the jumper’s average velocity on each of the following time
intervals: $$[0,15]$$, $$[0,2]$$, $$[1,6]$$, and $$[8,10]$$. Include units on
your answers.
''c)'' On what time interval(s) do you think the bungee jumper achieves her
greatest average velocity? Why?
''d)'' Estimate the jumper’s instantaneous velocity at $$t=5$$. Show your work
and explain your reasoning, and include units on your answer.
''e)'' Among the average and instantaneous velocities you computed in earlier
questions, which are positive and which are negative? What does negative
velocity indicate?
''2.'' A diver leaps from a 3 meter springboard. His feet leave the board at
time $$t=0$$, he reaches his maximum height of 4.5 m at $$t = 1.1$$ seconds,
and enters the water at $$t = 2.45$$. Once in the water, the diver coasts
to the bottom of the pool (depth 3.5 m), touches bottom at $$t=7$$, rests
for one second, and then pushes off the bottom. From there he coasts to
the surface, and takes his first breath at $$t=13$$.
''a)'' Let $$s(t)$$ denote the function that gives the height of the diver’s feet
(in meters) above the water at time $$t$$. (Note that the “height” of the
bottom of the pool is $$-3.5$$ meters.) Sketch a carefully labeled graph
of $$s(t)$$ on the provided axes in <<figreference 1_1_Ez2>>. Include scale and
units on the vertical axis. Be as detailed as possible.
''b)'' Based on your graph in (a), what is the average velocity of the diver
between $$t = 2.45$$ and $$t=7$$? Is his average velocity the same on every
time interval within $$[2.45,7]$$?
''c)'' Let the function $$v(t)$$ represent the ''instantaneous vertical velocity''
of the diver at time $$t$$ (i.e. the speed at which the height function
$$s(t)$$ is changing; note that velocity in the upward direction is
positive, while the velocity of a falling object is negative). Based on
your understanding of the diver’s behavior, as well as your graph of the
position function, sketch a carefully labeled graph of $$v(t)$$ on the
axes provided in <<figreference 1_1_Ez2>>. Include scale and units on the
vertical axis. Write several sentences that explain how you constructed
your graph, discussing when you expect $$v(t)$$ to be zero, positive,
negative, relatively large, and relatively small.
''d)'' s there a connection between the two graphs that you can describe? What
can you say about the velocity graph when the height function is
increasing? decreasing? Make as many observations as you can.
''3.'' According to the U.S. census, the population of the city of Grand
Rapids, MI, was 181,843 in 1980; 189,126 in 1990; and 197,800 in 2000.
''a)'' Between 1980 and 2000, by how many people did the population of Grand
Rapids grow?
''b)'' In an average year between 1980 and 2000, by how many people did the
population of Grand Rapids grow?
''c)'' Just like we can find the average velocity of a moving body by computing
change in position over change in time, we can compute the average rate
of change of any function $$f$$. In particular, the ''average rate of
change'' of a function $$f$$ over an interval $$[a,b]$$ is the quotient
$$\frac{f(b)-f(a)}{b-a}.$$
What does the quantity $$\frac{f(b)-f(a)}{b-a}$$ measure on the graph of
$$y = f(x)$$ over the interval $$[a,b]$$?
''d)'' Let $$P(t)$$ represent the population of Grand Rapids at time $$t$$, where
$$t$$ is measured in years from January 1, 1980. What is the average rate
of change of $$P$$ on the interval $$t = 0$$ to $$t = 20$$? What are the units
on this quantity?
''e)'' If we assume the the population of Grand Rapids is growing at a rate of
approximately 4% per decade, we can model the population function with
the formula
$$P(t) = 181843 (1.04)^{t/10}.$$
Use this formula to compute
the average rate of change of the population on the intervals $$[5,10]$$,
$$[5,9]$$, $$[5,8]$$, $$[5,7]$$, and $$[5,6]$$.
04)^{t/10}.$$
''f)'' How fast do you think the population of Grand Rapids was changing on
January 1, 1985? Said differently, at what rate do you think people were
being added to the population of Grand Rapids as of January 1, 1985? How
many additional people should the city have expected in the following
year? Why?
How is the average velocity of a moving object connected to the values
of its position function?
How do we interpret the average velocity of an object geometrically with
regard to the graph of its position function?
How is the notion of instantaneous velocity connected to average
velocity?
Calculus can be viewed broadly as the study of change. A natural and
important question to ask about any changing quantity is “how fast is
the quantity changing?” It turns out that in order to make the answer to
this question precise, substantial mathematics is required.
We begin with a familiar problem: a ball being tossed straight up in the
air from an initial height. From this elementary scenario, we will ask
questions about how the ball is moving. These questions will lead us to
begin investigating ideas that will be central throughout our study of
differential calculus and that have wide-ranging consequences. In a
great deal of our thinking about calculus, we will be well-served by
remembering this first example and asking ourselves how the various
(sometimes abstract) ideas we are considering are related to the simple
act of tossing a ball straight up in the air.
!!Position and average velocity
Any moving object has a ''position'' that can be considered a function of
''time''. When this motion is along a straight line, the position is given
by a single variable, and we usually let this position be denoted by
$$s(t)$$, which reflects the fact that position is a function of time. For
example, we might view $$s(t)$$ as telling the mile marker of a car
traveling on a straight highway at time $$t$$ in hours; similarly, the
function $$s$$ described in <<reference 1.1.PA1>> is a position
function, where position is measured vertically relative to the ground.
Not only does such a moving object have a position associated with its
motion, but on any time interval, the object has an ''average velocity''.
Think, for example, about driving from one location to another: the
vehicle travels some number of miles over a certain time interval
(measured in hours), from which we can compute the vehicle’s average
velocity. In this situation, average velocity is the number of miles
traveled divided by the time elapsed, which of course is given in ''miles
per hour''. Similarly, the calculation of $$AV_{[0.5,1]}$$ in <<reference 1.1.PA1>> found the average velocity of the ball on the time
interval $$[0.5,1]$$, measured in feet per second.
In general, we make the following definition: for an object moving in a
straight line whose position at time $$t$$ is given by the function
$$s(t)$$, the ''average velocity of the object on the interval from $$t = a$$
to $$t = b$$'', denoted $$AV_{[a,b]}$$, is given by the formula
$$AV_{[a,b]} = \frac{s(b)-s(a)}{b-a}.$$
Note well: the units on $$AV_{[a,b]}$$ are “units of $$s$$ per unit of $$t$$,” such as “miles per hour” or “feet per
second.”
Whether driving a car, riding a bike, or throwing a ball, we have an
intuitive sense that any moving object has a velocity at any given
moment – a number that measures how fast the object is moving ''right
now''. For instance, a car’s speedometer tells the driver what appears to
be the car’s velocity at any given instant. In fact, the posted velocity
on a speedometer is really an average velocity that is computed over a
very small time interval (by computing how many revolutions the tires
have undergone to compute distance traveled), since velocity
fundamentally comes from considering a change in position divided by a
change in time. But if we let the time interval over which average
velocity is computed become shorter and shorter, then we can progress
from average velocity to ''instantaneous'' velocity.
Informally, we define the ''instantaneous velocity'' of a moving object at
time $$t = a$$ to be the value that the average velocity approaches as we
take smaller and smaller intervals of time containing $$t = a$$ to compute
the average velocity. We will develop a more formal definition of this
momentarily, one that will end up being the foundation of much of our
work in first semester calculus. For now, it is fine to think of
instantaneous velocity this way: take average velocities on smaller and
smaller time intervals, and if those average velocities approach a
single number, then that number will be the instantaneous velocity at
that point.
At this point we have started to see a close connection between average
velocity and instantaneous velocity, as well as how each is connected
not only to the physical behavior of the moving object but also to the
geometric behavior of the graph of the position function. In order to
make the link between average and instantaneous velocity more formal, we
will introduce the notion of ''limit'' in <<reference 1.2.Limits>>. As a
preview of that concept, we look at a way to consider the limiting value
of average velocity through the introduction of a parameter. Note that
if we desire to know the instantaneous velocity at $$t = a$$ of a moving
object with position function $$s$$, we are interested in computing
average velocities on the interval $$[a,b]$$ for smaller and smaller
intervals. One way to visualize this is to think of the value $$b$$ as
being $$b = a + h$$, where $$h$$ is a small number that is allowed to vary.
Thus, we observe that the average velocity of the object on the interval $$[a, a + h]$$ is
$$[a,a+h]$$ is $$AV_{[a,a+h]} = \frac{s(a+h)-s(a)}{h},$$
with the denominator being simply $$h$$ because $$(a+h) - a = h$$.
Initially, it is fine to think of $$h$$ being a small positive real
number; but it is important to note that we allow $$h$$ to be a small
negative number, too, as this enables us to investigate the average
velocity of the moving object on intervals prior to $$t = a$$, as well as
following $$t = a$$. When $$h < 0$$, $$AV_{[a,a+h]}$$ measures the average
velocity on the interval $$[a+h,a]$$.
To attempt to find the instantaneous velocity at $$t = a$$, we investigate
what happens as the value of $$h$$ approaches zero. We consider this
further in the following example.
''{{!!bookcaption}}''
For a falling ball whose position function is given by
$$s(t) = 16 - 16t^2$$ (where $$s$$ is measured in feet and $$t$$ in seconds),
find an expression for the average velocity of the ball on a time
interval of the form $$[0.5, 0.5+h]$$ where $$-0.5 < h < 0.5$$ and
$$h \ne 0$$. Use this expression to compute the average velocity on
$$[0.5,0.75]$$ and $$[0.4,0.5]$$, as well as to make a conjecture about the
instantaneous velocity at $$t = 0.5$$.
''Solution''. We make the assumptions that −0.5 < h < 0.5 and h 0 because h cannot be zero (otherwise there is no interval on which to compute average velocity) and because the function only makes sense on the time interval 0 ≤ t ≤ 1, as this is the duration of time during which the ball is falling. Observe that we want to compute and simplify
$$AV[0.5,0.5+h] = s(0.5 + h) - s(0.5). (0.5 + h) - 0.5$$
The most unusual part of this computation is finding $$s(0.5 + h)$$. To do so, we follow the rule that defines the function s. In particular, since $$s(t) = 16 - 16t^2$$, we see that
<center>
<table class="equationtable">
<tr><td> $$s(0.5+h)$$ </td><td>= $$16-16(0.5+h)2 $$ </td></tr>
<tr><td></td><td>= $$16-16(0.25+h+h2) $$</td></tr>
<tr><td></td><td>= $$16-4-16h-16h2 $$ </td></tr>
<tr><td></td><td>= $$12-16h-16h2 $$ </td></tr>
Now, returning to our computation of the average velocity, we find that
<center>
<table class="equationtable">
<tr><td> $${[0.5, 0.5+h]}$$ </td><td>$$ = \frac{s(0.5+h) - s(0.5)}{(0.5+h) - 0.5}$$ </td></tr>
<tr><td></td><td>= $$\frac{(12 - 16h - 16h^2) - (16 - 16(0.5)^2)}{0.5 + h - 0.5} $$</td></tr>
<tr><td></td><td>$$=\frac{12 - 16h - 16h^2 - 12}{h} $$ </td></tr>
<tr><td></td><td>= $$\frac{-16h - 16h^2}{h}.$$ </td></tr>
At this point, we note two things: first, the expression for average
velocity clearly depends on $$h$$, which it must, since as $$h$$ changes the
average velocity will change. Further, we note that since $$h$$ can never
equal zero, we may further simplify the most recent expression. Removing
the common factor of $$h$$ from the numerator and denominator, it follows
that
$$AV_{[0.5, 0.5+h]} = -16 - 16h.$$
Now, for any small positive or negative value of $$h$$, we can compute the
average velocity. For instance, to obtain the average velocity on
$$[0.5,0.75]$$, we let $$h = 0.25$$, and the average velocity is
$$-16 - 16(0.25) = -20$$ ft/sec. To get the average velocity on
$$[0.4, 0.5]$$, we let $$h = -0.1$$, which tells us the average velocity is
$$-16 - 16(-0.1) = -14.4$$ ft/sec. Moreover, we can even explore what
happens to $$AV_{[0.5, 0.5+h]}$$ as $$h$$ gets closer and closer to zero. As
$$h$$ approaches zero, $$-16h$$ will also approach zero, and thus it appears
that the instantaneous velocity of the ball at $$t = 0.5$$ should be $$-16$$
ft/sec.
!!Summary
---
In this section, we encountered the following important ideas:
---
*The average velocity on $$[a,b]$$ can be viewed geometrically as the slope of the line between the points $$(a,s(a))$$ and $$(b,s(b))$$ on the graph of $$y = s(t)$$, as shown in <<figreference 1_1_Summary.svg>>
<<figure 1_1_Summary.svg>>
* Given a moving object whose position at time $$t$$ is given by a function $$s$$, the average velocity of the object on the time interval $$[a,b]$$ is given by $$AV_{[a,b]} = \frac{s(b) - s(a)}{b-a}$$. Viewing the interval $$[a,b]$$ as having the form $$[a,a+h]$$, we equivalently compute average velocity by the formula
$$AV_{[a,a+h]} = \frac{s(a+h) - s(a)}{h}$$.
* The instantaneous velocity of a moving object at a fixed time is estimated by considering average velocities on shorter and shorter time intervals that contain the instant of interest.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}}>
Estimate the value of each of the following limits by constructing appropriate tables of values. Then determine the exact value of the limit by using algebra to simplify the function. Finally, plot each function on an appropriate interval to check your result visually.
$$ \lim_{x \to 1} \frac{x^2 - 1}{x-1}$$
$$ \lim_{x \to 0} \frac{(2+x)^3 - 8}{x}$$
$$ \lim_{x \to 0} \frac{\sqrt{x+1} - 1}{x}$$
''(a)'' $$ \lim_{x \to 1} \frac{x^2 - 1}{x-1}$$
''(b)'' $$ \lim_{x \to 0} \frac{(2+x)^3 - 8}{x}$$
''(c)'' $$ \lim_{x \to 0} \frac{\sqrt{x+1} - 1}{x}$$
$$(x^2 - 1)$$ can be factored.
Expand the expression $$(2+x)^3$$, and then combine like terms in the
numerator.
Try multiplying the given function by this fancy form of 1:
$$\frac{\sqrt{x+1} + 1}{\sqrt{x+1} + 1}$$.
Expand the expression $$(2+x)^3$$ using the rule
$$(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$$, and then combine like terms in
the numerator.
Try multiplying the given function by this fancy form of 1:
$$\frac{\sqrt{x+1} + 1}{\sqrt{x+1} + 1}$$. Expand and simplify the
numerator, and then see what happens as $$x \to 0$$.
Estimating the values of the limits with tables is straightforward and
should suggest the exact values stated below.
$$\lim_{x \to 1} \frac{x^2 - 1}{x-1} = \lim_{x \to 1} \frac{(x+1)(x-1)}{x-1} = \lim_{x \to 1} (x+1) = 2$$.
$$\lim_{x \to 0} \frac{(2+x)^3 - 8}{x} = \lim_{x \to 0} \frac{8 + 12x + 6x^2 + x^3 - 8}{x}$$ $$ = \lim_{x \to 0} \frac{12x + 6x^2 + x^3}{x} = \lim_{x \to 0} (12 + 6x + x^2) = 12$$.
$$\lim_{x \to 0} \frac{\sqrt{x+1} - 1}{x} = \lim_{x \to 0} \frac{\sqrt{x+1} - 1}{x} \cdot \frac{\sqrt{x+1} + 1}{\sqrt{x+1} + 1} = \lim_{x \to 0} \frac{x+1-1}{x(\sqrt{x+1}+1)} = \lim_{x \to 0} \frac{1}{\sqrt{x+1}+1} = \frac{1}{2}.$$
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}}>
Consider a moving object whose position function is given by
$$s(t) = t^2$$, where $$s$$ is measured in meters and $$t$$ is measured in
minutes.
''a)'' Determine the most simplified expression for the average velocity of the
object on the interval $$[3, 3+h]$$, where $$h > 0$$.
''b)'' Determine the average velocity of the object on the interval $$[3,3.2]$$.
Include units on your answer.
''c)'' Determine the instantaneous velocity of the object when $$t = 3$$. Include
units on your answer.
Consider $$\lim_{h \to 0} \frac{s(3+h)-s(3)}{h}$$ and use your work in
(a).
Consider
$$\lim_{h \to 0} \frac{s(3+h)-s(3)}{h} = \lim_{h \to 0} \frac{6h + h^2}{h}$$.
Using the expression just found in (a) with $$h = 0.2$$,
$$AV_{[3,3.2]} = 6 + 0.2 = 6.2$$ meters/min.
Taking the limit of average velocity and using our work from (a), we
find that
$$IV_{t = 3} = \lim_{h \to 0} AV_{[3, 3+h]} = \lim_{h \to 0} 6+h = 6,$$
so the instantaneous velocity of the object when $$t = 3$$ is 6 meters per
minute.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}}>
For the moving object whose position $$s$$ at time $$t$$ is given by the
graph below, answer each of the following questions. Assume that $$s$$ is
measured in feet and $$t$$ is measured in seconds.
''a)'' Use the graph to estimate the average velocity of the object on each of
the following intervals: $$[0.5,1]$$, $$[1.5,2.5]$$, $$[0,5]$$. Draw each line
whose slope represents the average velocity you seek.
''b)'' How could you use average velocities or slopes of lines to estimate the
instantaneous velocity of the object at a fixed time?
''c)'' Use the graph to estimate the instantaneous velocity of the object when
$$t = 2$$. Should this instantaneous velocity at $$t = 2$$ be greater or
less than the average velocity on $$[1.5,2.5]$$ that you computed in (a)?
Why?
Remember that average velocity on an interval computes the quotient of
“change in $$s$$ over change in $$t$$.” This is the slope of the line
between the corresponding two points on the graph of $$s$$.
Think about shorter and shorter time intervals and drawing the lines
whose slopes represent average velocity.
Think about zooming in on the graph at $$t = 2$$ and drawing a line that,
up close, looks just like the curve $$s(t)$$. What is the approximate
slope of that line?
Remember that average velocity on an interval computes the quotient of
“change in $$s$$ over change in $$t$$.” This is the slope of the line
between the corresponding two points on the graph of $$s$$. For example,
the average velocity on $$[0.5,1]$$ is $$\frac{1-1}{1-0.5} = 0$$.
Think about shorter and shorter time intervals and drawing the lines
whose slopes represent average velocity. If those lines’ slopes are
approaching a single number, that number represents the instantaneous
velocity.
Think about zooming in on the graph at $$t = 2$$ and drawing a line that,
up close, looks just like the curve $$s(t)$$. What is the approximate
slope of that line? By drawing this line that looks like $$s(t)$$ near the
point $$(2,s(2))$$ and comparing the line through the points
$$(1.5,s(1.5))$$ and $$(2.5, s(2.5))$$, you should be able to compare the
lines and see which has greater slope.
The average velocity on $$[0.5,1]$$ is the slope of the line joining the
points $$(0.5,s(0.5))$$ and $$(1,s(1))$$, which is
$$AV_{[0.5,1]} = \frac{1-1}{1-0.5} = 0$$. On $$[1.5,2.5]$$, we similarly
find $$AV_{[1.5,2.5]} = \frac{3-1}{2.5-1.5} = 2$$, and on $$[0,5]$$, we have
$$AV_{[0,5]} = \frac{5-0}{5-0} = 1$$.
Take shorter and shorter time intervals and draw the lines whose slopes
represent average velocity. If those lines’ slopes are approaching a
single number, that number represents the instantaneous velocity. For
example, to estimate the instantaneous velocity at $$t = 2$$, we might
consider average velocities on $$[2,3]$$, $$[2,2.5]$$, and $$[2,2.25]$$.
If we draw the line through $$(2,2)$$ and $$(2.1,s(2.1))$$, it looks like
the line’s slope is approximately 2.5: if we go over one grid-width, we
appear to go up about 2.5. The slope of this line is clearly greater
than the slope of the line through $$(1.5, s(1.5))$$ and $$(2.5, s(2.5))$$,
which is 2. Hence the instantaneous velocity at $$t = 2$$ is greater than
the average velocity on $$[1.5,2.5]$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the function whose formula is
$$f(x) = \frac{16-x^4}{x^2-4}$$.
''a)'' What is the domain of $$f$$?
''b)'' Use a sequence of values of $$x$$ near $$a = 2$$ to estimate the value of $$\lim_{x \to 2} f(x),$$ if you think the limit exists. If you think the limit doesn’t exist, explain why.
''c)'' Use algebra to simplify the expression $$\frac{16-x^4}{x^2-4}$$ and hence
work to evaluate $$\lim_{x \to 2} f(x)$$ exactly, if it exists, or to
explain how your work shows the limit fails to exist. Discuss how your
findings compare to your results in (b).
''d)'' True or false: $$f(2) = -8$$. Why?
''e)'' True or false: $$\frac{16-x^4}{x^2-4} = -4-x^2.$$ Why? How is this
equality connected to your work above with the function $$f$$?
''f)'' Based on all of your work above, construct an accurate, labeled graph of
$$y = f(x)$$ on the interval $$[1,3]$$, and write a sentence that explains
what you now know about $$\lim_{x \to 2} \frac{16-x^4}{x^2-4}$$.
''2.'' Let $$g(x)=-\frac{|x+3|}{x+3}$$
''a)'' What is the domain of $$g$$?
''b)'' Use a sequence of values near $$a = -3$$ to estimate the value of
$$\lim_{x \to -3} g(x),$$ if you think the limit exists. If you think the limit doesn’t exist,
explain why.
''c)'' Use algebra to simplify the expression $$\frac{|x+3|}{x+3}$$ and hence
work to evaluate $$\lim_{x \to -3} g(x)$$ exactly, if it exists, or to
explain how your work shows the limit fails to exist. Discuss how your
findings compare to your results in (b). (<span>''Hint''</span>:
$$|a| = a$$ whenever $$a \ge 0$$, but $$|a| = -a$$ whenever $$a < 0$$.)
''d)'' True or false: $$g(-3) = -1$$. Why?
''e)'' True or false: $$-\frac{|x+3|}{x+3} = -1.$$ Why? How is this equality
connected to your work above with the function $$g$$?
''f)'' Based on all of your work above, construct an accurate, labeled graph of
$$y = g(x)$$ on the interval $$[-4,-2]$$, and write a sentence that explains
what you now know about $$\lim_{x \to -3} g(x)$$.
''3.'' For each of the following prompts, sketch a graph on the provided axes
of a function that has the stated properties.
''a)'' $$y= f(x)$$ such that
o $$f(-2) = 2$$ and $$\lim_{x \to -2} f(x) = 1$$
o $$f(-1) = 3$$ and $$\lim_{x \to -1} f(x) = 3$$
o $$f(1)$$ is not defined and $$\lim_{x \to 1} f(x) = 0$$
o $$f(2) = 1$$ and $$\lim_{x \to 2} f(x)$$ does not exist.
''b)'' $$y = g(x)$$ such that
o $$g(-2) = 3$$, $$g(-1) = -1$$, $$g(1) = -2$$, and $$g(2) = 3$$
o At $$x = -2, -1, 1$$ and $$2$$, $$g$$ has a limit, and its limit equals the
value of the function at that point.
o $$g(0)$$ is not defined and $$\lim_{x \to 0} g(x)$$ does not exist.
''4.'' A bungee jumper dives from a tower at time $$t=0$$. Her height $$s$$ in feet
at time $$t$$ in seconds is given by
$$s(t) = 100\cos(0.75t) \cdot e^{-0.2t}+100$$.
''a)'' Write an expression for the average velocity of the bungee jumper on the
interval\
$$[1,1+h]$$.
''b)'' Use computing technology to estimate the value of the limit as $$h \to 0$$
of the quantity you found in (a).
''c)'' What is the meaning of the value of the limit in (b)? What are its
units?
What is the mathematical notion of ''limit'' and what role do limits play
in the study of functions?
What is the meaning of the notation $$\lim_{x \to a} f(x) = L$$?
How do we go about determining the value of the limit of a function at a
point?
How does the notion of limit allow us to move from average velocity to
instantaneous velocity?
Functions are at the heart of mathematics: a function is a process or
rule that associates each individual input to exactly one corresponding
output. Students learn in courses prior to calculus that there are many
different ways to represent functions, including through formulas,
graphs, tables, and even words. For example, the squaring function can
be thought of in any of these ways. In words, the squaring function
takes any real number $$x$$ and computes its square. The formulaic and
graphical representations go hand in hand, as $$y = f(x) = x^2$$ is one of
the simplest curves to graph. Finally, we can also partially represent
this function through a table of values, essentially by listing some of
the ordered pairs that lie on the curve, such as $$(-2,4)$$, $$(-1,1)$$,
$$(0,0)$$, $$(1,1)$$, and $$(2,4)$$.
Functions are especially important in calculus because they often model
important phenomena – the location of a moving object at a given time,
the rate at which an automobile is consuming gasoline at a certain
velocity, the reaction of a patient to the size of a dose of a drug –
and calculus can be used to study how these output quantities change in
response to changes in the input variable. Moreover, thinking about
concepts like average and instantaneous velocity leads us naturally from
an initial function to a related, sometimes more complicated function.
As one example of this, think about the falling ball whose position
function is given by $$s(t) = 64 - 16t^2$$ and the average velocity of the
ball on the interval $$[1,x]$$. Observe that
$$AV_{[1,x]} = \frac{s(x) - s(1)}{x-1} = \frac{(64-16x^2) - (64-16)}{x-1} = \frac{16 - 16x^2}{x-1}.$$
Now, two things are essential to note: this average velocity depends on
$$x$$ (indeed, $$AV_{[1,x]}$$ is a function of $$x$$), and our most focused
interest in this function occurs near $$x = 1$$, which is where the
function is not defined. Said differently, the function
$$g(x) = \frac{16 - 16x^2}{x-1}$$ tells us the average velocity of the
ball on the interval from $$t = 1$$ to $$t = x$$, and if we are interested
in the instantaneous velocity of the ball when $$t = 1$$, we’d like to
know what happens to $$g(x)$$ as $$x$$ gets closer and closer to $$1$$. At the
same time, $$g(1)$$ is not defined, because it leads to the quotient
$$0/0$$.
This is where the idea of ''limits'' comes in. By using a limit, we’ll be
able to allow $$x$$ to get arbitrarily close, but not equal, to $$1$$ and
fully understand the behavior of $$g(x)$$ near this value. We’ll develop
key language, notation, and conceptual understanding in what follows,
but for now we consider a preliminary activity that uses the graphical
interpretation of a function to explore points on a graph where
interesting behavior occurs.
Limits can be thought of as a way to study the tendency or trend of a
function as the input variable approaches a fixed value, or even as the
input variable increases or decreases without bound. We put off the
study of the latter idea until further along in the course when we will
have some helpful calculus tools for understanding the end behavior of
functions. Here, we focus on what it means to say that “a function $$f$$
has limit $$L$$ as $$x$$ approaches $$a$$.” To begin, we think about a recent
example.
In <<reference 1.2.PA1>>, you saw that for the given function $$g$$,
as $$x$$ gets closer and closer (but not equal) to 0, $$g(x)$$ gets as close
as we want to the value 4. At first, this may feel counterintuitive,
because the value of $$g(0)$$ is $$1$$, not $$4$$. By their very definition,
limits regard the behavior of a function *arbitrarily close to* a fixed
input, but the value of the function *at* the fixed input does not
matter. More formally<<footnote [1] "What follows here is not what mathematicians consider the formal
definition of a limit. To be completely precise, it is necessary to
quantify both what it means to say “as close to ''L'' as we like” and
“sufficiently close to ''a''.” That can be accomplished through what
is traditionally called the epsilon-delta definition of limits. The
definition presented here is sufficient for the purposes of this">>, we say the following.
.
''Definition 1.1.'' Given a function $$f$$, a fixed input $$x = a$$, and a real number $$L$$, we
say that ''$$f$$ has limit $$L$$ as $$x$$ approaches $$a$$'', and write
$$\lim_{x \to a} f(x) = L$$
provided that we can make $$f(x)$$ as close to $$L$$ as we like by taking
$$x$$ sufficiently close (but not equal) to $$a$$. If we cannot make $$f(x)$$
as close to a single value as we would like as $$x$$ approaches $$a$$, then
we say that ''$$f$$ does not have a limit as $$x$$ approaches $$a$$.''
For the function $$g$$ pictured in <<figreference 1_2_PA1.svg>>, we can make the
following observations:
$$\lim_{x \to -1} g(x) = 3, \ \lim_{x \to 0} g(x) = 4, \ \ \lim_{x \to 2} g(x) = 1,$$
but $$g$$ does not have a limit as $$x \to 1$$. When working graphically, it
suffices to ask if the function approaches a single value from each side
of the fixed input, while understanding that the function value right at
the fixed input is irrelevant. This reasoning explains the values of the
first three stated limits. In a situation such as the jump in the graph
of $$g$$ at $$x = 1$$, the issue is that if we approach $$x = 1$$ from the
left, the function values tend to get as close to 3 as we’d like, but if
we approach $$x = 1$$ from the right, the function values get as close to
2 as we’d like, and there is no single number that all of these function
values approach. This is why the limit of $$g$$ does not exist at $$x = 1$$.
For any function $$f$$, there are typically three ways to answer the
question “does $$f$$ have a limit at $$x = a$$, and if so, what is the
limit?” The first is to reason graphically as we have just done with the
example from <<reference 1.2.PA1 >>. If we have a formula for $$f(x)$$,
there are two additional possibilities: (1) evaluate the function at a
sequence of inputs that approach $$a$$ on either side, typically using
some sort of computing technology, and ask if the sequence of outputs
seems to approach a single value; (2) use the algebraic form of the
function to understand the trend in its output as the input values
approach $$a$$. The first approach only produces an approximation of the
value of the limit, while the latter can often be used to determine the
limit exactly. The following example demonstrates both of these
approaches, while also using the graphs of the respective functions to
help confirm our conclusions.
''Example 1.2.'' For each of the following functions, we’d like to know whether or not
the function has a limit at the stated $$a$$-values. Use both numerical
and algebraic approaches to investigate and, if possible, estimate or
determine the value of the limit. Compare the results with a careful
graph of the function on an interval containing the points of interest.
a) $$f(x) = \frac{4-x^2}{x+2}$$; $$a = -1$$, $$a = -2$$
b) $$g(x) = \sin\left(\frac{\pi}{x}\right)$$; $$a = 3$$, $$a = 0$$
''Solution'' We first construct a graph of $$f$$ along with tables of values near
$$a = -1$$ and $$a = -2$$.
From the left table, it appears that we can make $$f$$ as close as we want
to 3 by taking $$x$$ sufficiently close to $$-1$$, which suggests that
$$\lim_{x \to -1} f(x) = 3$$. This is also consistent with the graph
of $$f$$. To see this a bit more rigorously and from an algebraic point of
view, consider the formula for $$f$$: $$f(x) = \frac{4-x^2}{x+2}$$. The
numerator and denominator are each polynomial functions, which are among
the most well-behaved functions that exist. Formally, such functions are
''continuous''<<footnote [2] "See <<reference 1.7.LimContDiff>> for more on the notion of
continuity.">>, which means that the limit of the function at any
point is equal to its function value. Here, it follows that as
$$x \to -1$$, $$(4-x^2) \to (4 - (-1)^2) = 3$$, and
$$(x+2) \to (-1 + 2) = 1$$, so as $$x \to -1$$, the numerator of $$f$$ tends
to 3 and the denominator tends to 1, hence
$$\lim_{x \to -1} f(x) = \frac{3}{1} = 3$$.
The situation is more complicated when $$x \to -2$$, due in part to the
fact that $$f(-2)$$ is not defined. If we attempt to use a similar
algebraic argument regarding the numerator and denominator, we observe
that as $$x \to -2$$, $$(4-x^2) \to (4 - (-2)^2) = 0$$, and
$$(x+2) \to (-2 + 2) = 0$$, so as $$x \to -2$$, the numerator of $$f$$ tends
to 0 and the denominator tends to 0. We call $$0/0$$ an ''indeterminate
form'' and will revisit several important issues surrounding such
quantities later in the course. For now, we simply observe that this
tells us there is somehow more work to do. From the table and the graph,
it appears that $$f$$ should have a limit of $$4$$ at $$x = -2$$. To see
algebraically why this is the case, let’s work directly with the form of
$$f(x)$$. Observe that
<center>
<table class="equationtable">
<tr><td> $$\lim_{x \to -2} f(x) $$
</td> <td>= $$ \lim_{x \to -2} \frac{4-x^2}{x+2}$$
</td></tr>
<tr><td></td><td>= $$ \lim_{x \to -2} \frac{(2-x)(2+x)}{x+2}$$
</td></tr>
At this point, it is important to observe that since we are taking the
limit as $$x \to -2$$, we are considering $$x$$ values that are close, but
not equal, to $$-2$$. Since we never actually allow $$x$$ to equal $$-2$$, the
quotient $$\frac{2+x}{x+2}$$ has value 1 for every possible value of $$x$$.
Thus, we can simplify the most recent expression above, and now find
that
$$\lim_{x \to -2} f(x) = \lim_{x \to -2} 2-x.$$
Because $$2-x$$ is simply a linear function, this limit is now easy to
determine, and its value clearly is $$4$$. Thus, from several points of
view we’ve seen that $$\lim_{x \to -2} f(x) = 4.$$
Next we turn to the function $$g$$, and construct two tables and a graph.
First, as $$x \to 3$$, it appears from the data (and the graph) that the
function is approaching approximately $$0.866025$$. To be precise, we have
to use the fact that $$\frac{\pi}{x} \to \frac{\pi}{3}$$, and thus we find
that $$g(x) = \sin(\frac{\pi}{x}) \to \sin(\frac{\pi}{3})$$ as $$x \to 3$$.
The exact value of $$\sin(\frac{\pi}{3})$$ is $$\frac{\sqrt{3}}{2}$$, which
is approximately 0.8660254038. Thus, we see that
$$\lim_{x \to 3} g(x) = \frac{\sqrt{3}}{2}.$$
As $$x \to 0$$, we observe that $$\frac{\pi}{x}$$ does not behave in an
elementary way. When $$x$$ is positive and approaching zero, we are
dividing by smaller and smaller positive values, and $$\frac{\pi}{x}$$
increases without bound. When $$x$$ is negative and approaching zero,
$$\frac{\pi}{x}$$ decreases without bound. In this sense, as we get close
to $$x = 0$$, the inputs to the sine function are growing rapidly, and
this leads to wild oscillations in the graph of $$g$$. It is an
instructive exercise to plot the function
$$g(x) = \sin\left(\frac{\pi}{x}\right)$$ with a graphing utility and then
zoom in on $$x = 0$$. Doing so shows that the function never settles down
to a single value near the origin and suggests that $$g$$ does not have a
limit at $$x = 0$$.
How do we reconcile this with the righthand table above, which seems to
suggest that the limit of $$g$$ as $$x$$ approaches $$0$$ may in fact be $$0$$?
Here we need to recognize that the data misleads us because of the
special nature of the sequence $$\{0.1, 0.01, 0.001, \ldots\}$$: when we
evaluate $$g(10^{-k})$$, we get
$$g(10^{-k}) = \sin\left(\frac{\pi}{10^{-k}}\right) = \sin(10^k \pi) = 0$$
for each positive integer value of $$k$$. But if we take a different
sequence of values approaching zero, say $$\{0.3, 0.03, 0.003, \ldots\}$$,
then we find that
$$g(3 \cdot 10^{-k}) = \sin\left(\frac{\pi}{3 \cdot 10^{-k}}\right) = \sin\left(\frac{10^k \pi}{3}\right) = \frac{\sqrt{3}}{2} \approx 0.866025.$$
That sequence of data would suggest that the value of the limit is
$$\frac{\sqrt{3}}{2}$$. Clearly the function cannot have two different
values for the limit, and this shows that $$g$$ has no limit as $$x \to 0$$.
<hr>
An important lesson to take from ''Example 1.2'' is that tables can be misleading when determining the value of a limit. While a table of values is useful for investigating the possible value of a limit, we should also use other tools to confirm the value, if we think the table suggests the limit exists.
This concludes a rather lengthy introduction to the notion of limits. It
is important to remember that our primary motivation for considering
limits of functions comes from our interest in studying the rate of
change of a function. To that end, we close this section by revisiting
our previous work with average and instantaneous velocity and
highlighting the role that limits play.
Suppose that we have a moving object whose position at time $$t$$ is given
by a function $$s$$. We know that the average velocity of the object on
the time interval $$[a,b]$$ is $$AV_{[a,b]} = \frac{s(b)-s(a)}{b-a}.$$ We
define the ''instantaneous velocity'' at $$a$$ to be the limit of average
velocity as $$b$$ approaches $$a$$. Note particularly that as $$b \to a$$, the
length of the time interval gets shorter and shorter (while always
including $$a$$). In Section [S:1.3.DerivativePt], we will introduce a
helpful shorthand notation to represent the instantaneous rate of
change. For now, we will write $$IV_{t=a}$$ for the instantaneous velocity
at $$t = a$$, and thus
$$IV_{t=a} = \lim_{h \to 0} AV_{[a,b]} = \lim_{b \to a} \frac{s(b)-s(a)}{b-a}.$$
Equivalently, if we think of the changing value $$b$$ as being of the form
$$b = a + h$$, where $$h$$ is some small number, then we may instead write
$$IV_{t=a} = \lim_{h \to 0} AV_{[a,a+h]} = \lim_{h \to 0} \frac{s(a+h)-s(a)}{h}.$$
Again, the most important idea here is that to compute instantaneous
velocity, we take a limit of average velocities as the time interval
shrinks. Two different activities offer the opportunity to investigate
these ideas and the role of limits further.
The closing activity of this section asks you to make some connections
among average velocity, instantaneous velocity, and slopes of certain
lines.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Limits enable us to examine trends in function behavior near a specific point. In particular, taking a limit at a given point asks if the function values nearby tend to approach a particular fixed value.
* When we write $$\lim_{x \to a} f(x) = L$$, we read this as saying “the limit of $$f$$ as $$x$$ approaches $$a$$ is $$L$$,” and this means that we can make the value of $$f(x)$$ as close to $$L$$ as we want by taking $$x$$ sufficiently close (but not equal) to $$a$$.
* If we desire to know $$\lim_{x \to a} f(x)$$ for a given value of $$a$$ and a known function $$f$$, we can estimate this value from the graph of $$f$$ or by generating a table of function values that result from a sequence of $$x$$-values that are closer and closer to $$a$$. If we want the exact value of the limit, we need to work with the function algebraically and see if we can use familiar properties of known, basic functions to understand how different parts of the formula for $$f$$ change as $$x \to a$$.
* The instantaneous velocity of a moving object at a fixed time is found by taking the limit of average velocities of the object over shorter and shorter time intervals that all contain the time of interest.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose that $$g$$ is the function given by the graph below. Use the graph
to answer each of the following questions.
''a)'' Determine the values $$g(-2)$$, $$g(-1)$$, $$g(0)$$, $$g(1)$$, and $$g(2)$$, if
defined. If the function value is not defined, explain what feature of
the graph tells you this.
''b)'' For each of the values $$a = -1$$, $$a = 0$$, and $$a = 2$$, complete the
following sentence: “As $$x$$ gets closer and closer (but not equal) to
$$a$$, $$g(x)$$ gets as close as we want to .”
''c)'' What happens as $$x$$ gets closer and closer (but not equal) to $$a = 1$$?
Does the function $$g(x)$$ get as close as we would like to a single
value?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the function $$f$$ whose formula is
$$\displaystyle f(x) = 3 - 2x$$.
''a)'' What familiar type of function is $$f$$? What can you say about the slope
of $$f$$ at every value of $$x$$?
''b)'' Compute the average rate of change of $$f$$ on the intervals $$[1,4]$$,
$$[3,7]$$, and $$[5,5+h]$$; simplify each result as much as possible. What
do you notice about these quantities?
''c)'' Use the limit definition of the derivative to compute the exact
instantaneous rate of change of $$f$$ with respect to $$x$$ at the value
$$a = 1$$. That is, compute $$f'(1)$$ using the limit definition. Show your
work. Is your result surprising?
''d)'' Without doing any additional computations, what are the values of
$$f'(2)$$, $$f'(\pi)$$, and $$f'(-\sqrt{2})$$? Why?
If $$f(x) = 3x^2 + 2x - 4$$, we say “$$f$$ is quadratic.” If
$$f(x) = 5 e^{2x-1}$$, we say “$$f$$ is exponential.” What do we say about
$$f(x) = 3-2x$$.
Remember that to compute the average rate of change of $$f$$ on $$[a,b]$$,
we calculate $$\frac{f(b)-f(a)}{b-a}$$.
Observe that $$f(1+h) = 3 - 2(1+h) = 3 - 2 - 2h = 1 - 2h$$.
Think about the how the graph of $$f$$ appears. What is the same at every
point?
Observe that the function $$f$$ is of the form $$f(x) = mx + b$$.
To compute the average rate of change of $$f$$ on $$[1,4]$$, we calculate
$$\frac{f(4)-f(1)}{4-1}$$.
Note that $$f(1+h) - f(1) = (3 - 2(1+h)) - (3-2) = 3 - 2 - 2h - 1 = -2h$$.
Remember that $$f'(a)$$ represents the slope of the function $$f$$ at the
value $$a$$.
Because $$f(x) = 3 - 2x$$ is of the form $$f(x) = mx + b$$, we call $$f$$ a
''linear'' function.
The average rate of change on $$[1,4]$$ is
$$\frac{f(4)-f(1)}{4-1} = \frac{-5 - 1}{3} = -2$$. Similar calculations
show the average rate of change on $$[3,7]$$ is also $$-2$$. On $$[5,5+h]$$,
observe that
$$\frac{f(5+h)-f(5)}{h} = \frac{3-2(5+h) - (3-10)}{h} = \frac{3 - 10 - 2h + 7}{h} = \frac{-2h}{h} = -2.$$
Using the limit definition of the derivative, we find that
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A water balloon is tossed vertically in the air from a window. The
balloon’s height in feet at time $$t$$ in seconds after being launched is
given by $$s(t) = -16t^2 + 16t + 32$$. Use this function to respond to
each of the following questions.
''a)'' Sketch an accurate, labeled graph of $$s$$ on the axes provided in
<<figreference 1_3_Act2.svg>>. You should be able to do this without using
computing technology.
''b)'' Compute the average rate of change of $$s$$ on the time interval $$[1,2]$$.
Include units on your answer and write one sentence to explain the
meaning of the value you found.
''c)'' Use the limit definition to compute the instantaneous rate of change of
$$s$$ with respect to time, $$t$$, at the instant $$a = 1$$. Show your work
using proper notation, include units on your answer, and write one
sentence to explain the meaning of the value you found.
''d)'' On your graph in (a), sketch two lines: one whose slope represents the
average rate of change of $$s$$ on $$[1,2]$$, the other whose slope
represents the instantaneous rate of change of $$s$$ at the instant $$a=1$$.
Label each line clearly.
''e)'' For what values of $$a$$ do you expect $$s'(a)$$ to be positive? Why? Answer
the same questions when “positive” is replaced by “negative” and “zero.”
Observe that $$(t^2 - t - 2) = (t-2)(t+1)$$ and that $$s(t)$$ has its vertex
at $$t = \frac{1}{2}$$.
Recall the formula for average rate of change.
Note that $$s(1+h) = -16(1+h)^2 + 16(1+h) + 32$$.
Think about a secant line and a tangent line.
A line with positive slope is one that is rising; a line with negative
slope is one that is falling.
Show that the quadratic function has $$t$$-intercepts at $$(2,0)$$ and
$$(-1,0)$$; $$s$$-intercept $$(0,32)$$; and vertex at the point where
$$t = \frac{1}{2}$$.
Compute $$\frac{s(2)-s(1)}{2-1}$$.
Observe that
$$s(1+h) - s(1) $$ $$ = (-16(1+h)^2 + 16(1+h) + 32) - (-16(1)^2 + 16(1) + 32) $$ $$ = -16 - 32h - 16h^2 + 16 + 16h + 32 - 32$$
and combine like terms carefully.
Consider the line through $$(1,s(1))$$ and $$(2,s(2))$$, as well as the line
through $$(1,s(1))$$ with slope $$s'(1)$$.
Observe that whenever the ball is rising, it’s position function is
rising, and thus the slope of its tangent line at any such point will be
positive.
Since $$s(t) = -16t^2 + 16t + 32 = -16(t^2 - t - 2) = -16(t-2)(t+1)$$, $$s$$
has $$t$$-intercepts at $$(2,0)$$ and $$(-1,0)$$; the $$s$$-intercept is clearly
$$(0,32)$$; and the vertex is $$(\frac{1}{2},36)$$.
Observe that $$\frac{s(2)-s(1)}{2-1} = \frac{0 - 32}{1} = -32$$ feet per
second. This value represents the average rate at which the ball is
falling over the time interval from $$t = 1$$ to $$t = 2$$.
We compute $$s'(1)$$ as follows:
We plot and label the secant line through $$(1,s(1))$$ and $$(2,s(2))$$, as
well as the tangent line through $$(1,s(1))$$ with slope $$s'(1)$$.
![image](figures/1_3_Act2Soln.eps)
Observe that whenever the ball is rising, it’s position function is
rising, and thus the slope of its tangent line at any such point will be
positive. This means that we should find $$s'(a)$$ to be positive whenever
$$0 \le a < \frac{1}{2}$$, and similarly $$s'(a)$$ to be negative whenever
$$\frac{1}{2} < a < 2$$ (which is when the ball is falling). At the
instant $$a = \frac{1}{2}$$, the ball is at its vertex and is neither
rising nor falling, and at that point, $$s'(\frac{1}{2}) = 0.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A rapidly growing city in Arizona has its population $$P$$ at time $$t$$,
where $$t$$ is the number of decades after the year 2010, modeled by the
formula $$P(t) = 25000 e^{t/5}$$. Use this function to respond to the
following questions.
''a)'' Sketch an accurate graph of $$P$$ for $$t = 0$$ to $$t = 5$$ on the axes
provided in <<figreference 1_3_Act3.svg>>. Label the scale on the axes carefully.
''b)'' Compute the average rate of change of $$P$$ between 2030 and 2050. Include
units on your answer and write one sentence to explain the meaning (in
everyday language) of the value you found.
''c)'' Use the limit definition to write an expression for the instantaneous
rate of change of $$P$$ with respect to time, $$t$$, at the instant $$a = 2$$.
Explain why this limit is difficult to evaluate exactly.
''d)'' Estimate the limit in (c) for the instantaneous rate of change of $$P$$ at
the instant $$a = 2$$ by using several small $$h$$ values. Once you have
determined an accurate estimate of $$P'(2)$$, include units on your
answer, and write one sentence (using everyday language) to explain the
meaning of the value you found.
''e)'' On your graph above, sketch two lines: one whose slope represents the
average rate of change of $$P$$ on $$[2,4]$$, the other whose slope
represents the instantaneous rate of change of $$P$$ at the instant $$a=2$$.
''e)'' In a carefully-worded sentence, describe the behavior of $$P'(a)$$ as $$a$$
increases in value. What does this reflect about the behavior of the
given function $$P$$?
$$P(t)$$ is the standard exponential function, scaled by $$25000$$.
Use the formula for the average rate of change of a function.
Because of the exponential nature of $$P(t)$$, we’re not able to simplify
$$\frac{P(2+h)-P(2)}{h}$$ in a way that removes $$h$$ from the denominator.
Try using $$h = 0.001, 0.0001, 0.00001$$ and
$$h = -0.001, -0.0001, -0.00001$$. Be careful not to round or use
computing precision that is too limited.
For the first line, think about the points $$(2,P(2))$$ and $$(4,P(4))$$.
Visualize the slope of the tangent line and how it changes as a point
moves along the curve.
$$P(t)$$ is the standard exponential function, scaled by $$25000$$.
Remember that $$AV_{[2,4]} = \frac{P(4)-P(2)}{4-2}$$, and that the units
on $$P$$ are people, while $$t$$ is the number of decades after 2010.
Note that
$$P'(2) = \lim_{h \to 0} \frac{P(2+h)-P(2)}{h} = \lim_{h \to 0} \frac{25000 e^{2+h}-25000e^2}{h}.$$
Try using $$h = 0.001, 0.0001, 0.00001$$ and
$$h = -0.001, -0.0001, -0.00001$$. Be careful not to round or use
computing precision that is too limited. Think about how using the two
values of $$h$$ nearest 0 together could give you the most accurate
result.
For the first line, think about the points $$(2,P(2))$$ and $$(4,P(4))$$.
For the second, try the line through $$(2,P(2))$$ with slope $$P'(2)$$.
Visualize the slope of the tangent line and how it changes as a point
moves along the curve. Does the slope of the tangent line increase,
decrease, or stay the same as the point of tangency moves along the
curve from right to left?
![image](figures/1_3_Act3.eps)
$$AV_{[2,4]} = \frac{P(4)-P(2)}{4-2} = \frac{25000e^{4/5} - 25000e^{2/5}}{2} \approx 9171$$
people per decade is expected to be the average rate of change of the
city’s population over the two decades from 2030 to 2050.
Note that
Because there is no way to remove a factor of $$h$$ from the numerator, we
cannot eliminate the $$h$$ that is making the denominator go to zero, so
it appears we need to be content estimating the limit with small values
of $$h$$.
Using $$h = 0.00001$$, we find
$$\frac{P(2+0.00001)-P(2)}{0.00001} \approx 7457$$; using $$h = -0.00001$$,
we find $$\frac{P(2-0.00001)-P(2)}{-0.00001} \approx 7460$$. Averaging
these two results, we find that
$$P'(2) = \lim_{h \to 0} \frac{P(2+h)-P(2)}{h} \approx 7458.5$$
which is measured in people per decade.
See the graph provided in (a) above. The magenta line has slope equal to
the average rate of change of $$P$$ on $$[2,4]$$, while the green line is
the tangent line at $$(2,P(2))$$ with slope $$P'(2)$$.
If we consider the point where $$t = a$$ and let $$a$$ start at 0 and then
increase, it appears that the tangent line’s slope at the point
$$(a,P(a))$$ will increase as $$a$$ increases.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the graph of $$y = f(x)$$ provided in Figure <<figreference 1_3_Ez1.svg>>.
''a)'' On the graph of $$y = f(x)$$, sketch and label the following quantities:
o the secant line to $$y = f(x)$$ on the interval $$[-3,-1]$$ and the secant
line to $$y = f(x)$$ on the interval $$[0,2]$$.
o the tangent line to $$y = f(x)$$ at $$x = -3$$ and the tangent line to
$$y = f(x)$$ at $$x = 0$$.
''b)'' What is the approximate value of the average rate of change of $$f$$ on
$$[-3,-1]$$? On $$[0,2]$$? How are these values related to your work in (a)?
''c)'' What is the approximate value of the instantaneous rate of change of $$f$$
at $$x = -3$$? At $$x = 0$$? How are these values related to your work in
(a)?
''2.'' For each of the following prompts, sketch a graph on the provided axes
in <<figreference 1_2_Ez3.svg>> of a function that has the stated properties.
$$y = f(x)$$ such that
''a)'' $$y = f(x)$$ such that
o the average rate of change of $$f$$ on $$[-3,0]$$ is $$-2$$ and the average
rate of change of $$f$$ on $$[1,3]$$ is 0.5, and
o the instantaneous rate of change of $$f$$ at $$x = -1$$ is $$-1$$ and the
instantaneous rate of change of $$f$$ at $$x = 2$$ is 1.
''b)'' $$y = g(x)$$ such that
''i)'' $$\frac{g(3)-g(-2)}{5} = 0$$ and $$\frac{g(1)-g(-1)}{2} = -1$$, and
''ii)'' $$g'(2) = 1$$ and $$g'(-1) = 0$$
''3.'' Suppose that the population, $$P$$, of China (in billions) can be
approximated by the function $$P(t) = 1.15(1.014)^t$$ where $$t$$ is the
number of years since the start of 1993.
''a)'' According to the model, what was the total change in the population of
China between January 1, 1993 and January 1, 2000? What will be the
average rate of change of the population over this time period? Is this
average rate of change greater or less than the instantaneous rate of
change of the population on January 1, 2000? Explain and justify, being
sure to include proper units on all your answers.
''b)'' According to the model, what is the average rate of change of the
population of China in the ten-year period starting on January 1, 2012?
''c)'' Write an expression involving limits that, if evaluated, would give the
exact instantaneous rate of change of the population on today’s date.
Then estimate the value of this limit (discuss how you chose to do so)
and explain the meaning (including units) of the value you have found.
''d)'' Find an equation for the tangent line to the function $$y = P(t)$$ at the
point where the $$t$$-value is given by today’s date.
''4.'' The goal of this problem is to compute the value of the derivative at a
point for several different functions, where for each one we do so in
three different ways, and then to compare the results to see that each
produces the same value.
For each of the following functions, use the limit definition of the
derivative to compute the value of $$f'(a)$$ using three different
approaches: strive to use the algebraic approach first (to compute the
limit exactly), then test your result using numerical evidence (with
small values of $$h$$), and finally plot the graph of $$y = f(x)$$ near
$$(a,f(a))$$ along with the appropriate tangent line to estimate the value
of $$f'(a)$$ visually. Compare your findings among all three approaches.
''a)''
$$f(x) = x^2 - 3x$$, $$a = 2$$
''b)''
$$f(x) = \frac{1}{x}$$, $$a = 1$$
''c)''
$$f(x) = \sin(x)$$, $$a = \frac{\pi}{2}$$
''d)''
$$f(x) = \sqrt{x}$$, $$a = 1$$
''e)''
$$f(x) = 2 - |x-1|$$, $$a = 1$$
How is the average rate of change of a function on a given interval
defined, and what does this quantity measure?
How is the instantaneous rate of change of a function at a particular
point defined? How is the instantaneous rate of change linked to average
rate of change?
What is the derivative of a function at a given point? What does this
derivative value measure? How do we interpret the derivative value
graphically?
How are limits used formally in the computation of derivatives?
An idea that sits at the foundations of calculus is the ''instantaneous
rate of change'' of a function. This rate of change is always considered
with respect to change in the input variable, often at a particular
fixed input value. This is a generalization of the notion of
instantaneous velocity and essentially allows us to consider the
question “how do we measure how fast a particular function is changing
at a given point?” When the original function represents the position of
a moving object, this instantaneous rate of change is precisely
velocity, and might be measured in units such as feet per second. But in
other contexts, instantaneous rate of change could measure the number of
cells added to a bacteria culture per day, the number of additional
gallons of gasoline consumed by going one mile per additional mile per
hour in a car’s velocity, or the number of dollars added to a mortgage
payment for each percentage increase in interest rate. Regardless of the
presence of a physical or practical interpretation of a function, the
instantaneous rate of change may also be interpreted geometrically in
connection to the function’s graph, and this connection is also
foundational to many of the main ideas in calculus.
In what follows, we will introduce terminology and notation that makes
it easier to talk about the instantaneous rate of change of a function
at a point. In addition, just as instantaneous velocity is defined in
terms of average velocity, the more general instantaneous rate of change
will be connected to the more general average rate of change. Recall
that for a moving object with position function $$s$$, its average
velocity on the time interval $$t = a$$ to $$t = a+h$$ is given by the
quotient
$$AV_{[a,a+h]} = \frac{s(a+h)-s(a)}{h}.$$
In a similar way, we make the following definition for an arbitrary
function $$y = f(x).$$
''Definition 1.2'' For a function $$f$$, the ''average rate of change'' of $$f$$ on the interval
$$[a,a+h]$$ is given by the value
$$AV_{[a,a+h]} = \frac{f(a+h)-f(a)}{h}.$$
Equivalently, if we want to consider the average rate of change of $$f$$
on $$[a,b]$$, we compute
$$AV_{[a,b]} = \frac{f(b)-f(a)}{b-a}.$$
It is essential to understand how the average rate of change of $$f$$ on
an interval is connected to its graph.
!!The Derivative of a Function at a Point
Just as we defined instantaneous velocity in terms of average velocity,
we now define the instantaneous rate of change of a function at a point
in terms of the average rate of change of the function $$f$$ over related
intervals. In addition, we give a special name to “the instantaneous
rate of change of $$f$$ at $$a$$,” calling this quantity “the ''derivative''
of $$f$$ at $$a$$,” with this value being represented by the shorthand
notation $$f'(a)$$. Specifically, we make the following definition.
''Definition 1.3.'' Let $$f$$ be a function and $$x = a$$ a value in the function’s domain. We
define the ''derivative of $$f$$ with respect to $$x$$ evaluated at $$x = a$$'',
denoted $$f'(a)$$, by the formula
$$f'(a) = \lim_{h \to 0} \frac{f(a+h)-f(a)}{h},$$
provided this limit
exists.
Aloud, we read the symbol $$f'(a)$$ as either “$$f$$-prime at $$a$$” or “the
derivative of $$f$$ evaluated at $$x = a$$.” Much of the next several
chapters will be devoted to understanding, computing, applying, and
interpreting derivatives. For now, we make the following important
notes.
* The derivative of $$f$$ at the value $$x = a$$ is defined as the limit of the average rate of change of $$f$$ on the interval $$[a,a+h]$$ as $$h \to 0$$. It is possible for this limit not to exist, so not every function has a derivative at every point.
* We say that a function that has a derivative at $$x = a$$ is ''differentiable'' at $$x = a$$.
* The derivative is a generalization of the instantaneous velocity of a position function: when $$y = s(t)$$ is a position function of a moving body, $$s'(a)$$ tells us the instantaneous velocity of the body at time $$t=a$$.
* Because the units on $$\frac{f(a+h)-f(a)}{h}$$ are “units of $$f$$ per unit of $$x$$,” the derivative has these very same units. For instance, if $$s$$ measures position in feet and $$t$$ measures time in seconds, the units on $$s'(a)$$ are feet per second.
* Because the quantity $$\frac{f(a+h)-f(a)}{h}$$ represents the slope of theline through $$(a,f(a))$$ and $$(a+h, f(a+h))$$, when we compute the derivative we are taking the limit of a collection of slopes of lines, and thus the derivative itself represents the slope of a particularly important line.
While all of the above ideas are important and we will add depth and
perspective to them through additional time and study, for now it is
most essential to recognize how the derivative of a function at a given
value represents the slope of a certain line. Thus, we expand upon the
last bullet item above.
As we move from an average rate of change to an instantaneous one, we
can think of one point as “sliding towards” another. In particular,
provided the function has a derivative at $$(a,f(a))$$, the point
$$(a+h,f(a+h))$$ will approach $$(a,f(a))$$ as $$h \to 0$$. Because this
process of taking a limit is a dynamic one, it can be helpful to use
computing technology to visualize what the limit is accomplishing. While
there are many different options,<<footnote [1] "For a helpful collection of java applets, consider the work of
David Austin of Grand Valley State University at
http://gvsu.edu/s/5r, and the particularly
relevant example at http://gvsu.edu/s/5s.
For applets that have been built in Geogebra, a nice example is the
work of Marc Renault of Shippensburg University at
http://gvsu.edu/s/5p, with the example at
http://gvsu.edu/s/5q being especially
fitting for our work in this section. There are scores of other
examples posted by other authors on the internet.">> one of the best is a java applet
in which the user is able to control the point that is moving. See the
examples referenced in the footnote here, or consider building your own,
perhaps using the fantastic free program Geogebra <<footnote [2] " Available for free download from
http://geogebra.org.
">>.
In <<figreference 1_3_SecToTanSeq.svg>>, we provide a sequence of figures with
several different lines through the points $$(a, f(a))$$ and
$$(a+h,f(a+h))$$ that are generated by different values of $$h$$. These
lines (shown in the first three figures in magenta), are often called
''secant lines'' to the curve $$y = f(x)$$. A secant line to a curve is
simply a line that passes through two points that lie on the curve. For
each such line, the slope of the secant line is
$$m = \frac{f(a+h) - f(a)}{h}$$, where the value of $$h$$ depends on the
location of the point we choose. We can see in the diagram how, as
$$h \to 0$$, the secant lines start to approach a single line that passes
through the point $$(a,f(a))$$. In the situation where the limit of the
slopes of the secant lines exists, we say that the resulting value is
the slope of the ''tangent line'' to the curve. This tangent line (shown
in the right-most figure in green) to the graph of $$y = f(x)$$ at the
point $$(a,f(a))$$ is the line through $$(a,f(a))$$ whose slope is
$$m = f'(a)$$.
<<figure 1_3_SecToTanSeq.svg>>
As we will see in subsequent study, the existence of the tangent line at
$$x = a$$ is connected to whether or not the function $$f$$ looks like a
straight line when viewed up close at $$(a,f(a))$$, which can also be seen
in <<figreference 1_3_SecToTan.svg>>, where we combine the four graphs in
<<figreference 1_3_SecToTanSeq.svg>> into the single one on the left, and then we
zoom in on the box centered at $$(a,f(a))$$, with that view expanded on
the right (with two of the secant lines omitted). Note how the tangent
line sits relative to the curve $$y = f(x)$$ at $$(a,f(a))$$ and how closely
it resembles the curve near $$x = a$$.
<<figure 1_3_SecToTan.svg>>
At this time, it is most important to note that $$f'(a)$$, the
instantaneous rate of change of $$f$$ with respect to $$x$$ at $$x = a$$, also
measures the slope of the tangent line to the curve $$y = f(x)$$ at
$$(a,f(a))$$. The following example demonstrates several key ideas
involving the derivative of a function.
''Example 1.3'' For the function given by $$f(x) = x - x^2$$, use the limit definition of
the derivative to compute $$f'(2)$$. In addition, discuss the meaning of
this value and draw a labeled graph that supports your explanation.
''Solution'' From the limit definition, we know that
$$f'(2) = \lim_{h \to 0} \frac{f(2+h)-f(2)}{h}.$$
Now we use the rule for $$f$$, and observe that $$f(2) = 2 - 2^2 = -2$$ and
$$f(2+h) = (2+h) - (2+h)^2.$$ Substituting these values into the limit
definition, we have that
$$f'(2) = \lim_{h \to 0} \frac{(2+h) - (2+h)^2 - (-2)}{h}.$$
Observe that with $$h$$ in the denominator and our desire to let
$$h \to 0$$, we have to wait to take the limit (that is, we wait to
actually let $$h$$ approach 0). Thus, we do additional algebra. Expanding
and distributing in the numerator,
$$f'(2) = \lim_{h \to 0} \frac{2+h - 4 - 4h - h^2 + 2}{h}.$$
Combining like terms, we have
$$f'(2) = \lim_{h \to 0} \frac{ -3h - h^2}{h}.$$
Next, we observe that there is a common factor of $$h$$ in both the
numerator and denominator, which allows us to simplify and find that
$$f'(2) = \lim_{h \to 0} (-3-h).$$
Finally, we are able to take the limit as $$h \to 0$$, and thus conclude
that $$f'(2) = -3$$.
Now, we know that $$f'(2)$$ represents the slope of the tangent line to
the curve $$y = x - x^2$$ at the point $$(2,-2)$$; $$f'(2)$$ is also the
instantaneous rate of change of $$f$$ at the point $$(2,-2)$$. Graphing both
the function and the line through $$(2,-2)$$ with slope $$m = f'(2) = -3$$,
we indeed see that by calculating the derivative, we have found the
slope of the tangent line at this point, as shown in <<figreference 1_3_Ex1.svg>>.
The following activities will help you explore a variety of key ideas
related to derivatives.
!!Summary
---
In this section, we encountered the following important ideas:
---
* The average rate of change of a function $$f$$ on the interval $$[a,b]$$ is$$\frac{f(b)-f(a)}{b-a}$$. The units on the average rate of change are units of $$f$$ per unit of $$x$$, and the numerical value of the average rate of change represents the slope of the secant line between the points $$(a,f(a))$$ and $$(b,f(b))$$ on the graph of $$y = f(x)$$. If we view the interval as being $$[a,a+h]$$ instead of $$[a,b]$$, the meaning is still the same, but the average rate of change is now computed by $$\frac{f(a+h)-f(a)}{h}$$.
* The instantaneous rate of change with respect to $$x$$ of a function $$f$$ at a value $$x = a$$ is denoted $$f'(a)$$ (read “the derivative of $$f$$ evaluated at $$a$$” or “$$f$$-prime at $$a$$”) and is defined by the formula
$$f'(a) = \lim_{h \to 0} \frac{f(a+h)-f(a)}{h},$$
provided the limit exists. Note particularly that the instantaneous rate of change at $$x = a$$ is the limit of the average rate of change on $$[a,a+h]$$ as $$h \to 0$$.
* Provided the derivative $$f'(a)$$ exists, its value tells us the instantaneous rate of change of $$f$$ with respect to $$x$$ at $$x = a$$, which geometrically is the slope of the tangent line to the curve $$y = f(x)$$ at the point $$(a,f(a))$$. We even say that $$f'(a)$$ is the ''slope of the curve'' $$y = f(x)$$ at the point $$(a,f(a))$$.
* Limits are the link between average rate of change and instantaneous rate of change: they allow us to move from the rate of change over an interval to the rate of change at a single point.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose that $$f$$ is the function given by the graph below and that $$a$$
and $$a+h$$ are the input values as labeled on the $$x$$-axis. Use the graph
in <<figreference 1_3_PA1.svg>> to answer the following questions.
''a)'' Locate and label the points $$(a,f(a))$$ and $$(a+h, f(a+h))$$ on the graph.
''b)'' Construct a right triangle whose hypotenuse is the line segment from
$$(a,f(a))$$ to $$(a+h,f(a+h))$$. What are the lengths of the respective legs of this
triangle?
''c)'' What is the slope of the line that connects the points $$(a,f(a))$$ and
$$(a+h, f(a+h))$$?
''d)'' Write a meaningful sentence that explains how the average rate of change
of the function on a given interval and the slope of a related line are
connected.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each given graph of $$y = f(x)$$, sketch an approximate graph of its
derivative function, $$y = f'(x)$$, on the axes immediately below. The
scale of the grid for the graph of $$f$$ is $$1 \times 1$$; assume the
horizontal scale of the grid for the graph of $$f'$$ is identical to that
for $$f$$. If necessary, adjust and label the vertical scale on the axes
for $$f'$$.
When you are finished with all 8 graphs, write several sentences that
describe your overall process for sketching the graph of the derivative
function, given the graph the original function. What are the values of
the derivative function that you tend to identify first? What do you do
thereafter? How do key traits of the graph of the derivative function
exemplify properties of the graph of the original function?
Points where the slope of the tangent line is equal to zero are
particularly important. Try finding these points first in your effort to
plot $$y = f'(x)$$ and plotting those zero values on the axes where you’ll
graph $$y = f'(x)$$.
Points where the slope of the tangent line is equal to zero are
particularly important. Try finding these points first in your effort to
plot $$y = f'(x)$$ and plotting those zero values on the axes where you’ll
graph $$y = f'(x)$$. After doing so, think carefully as well about the
questions: at this point, is $$f'(x)$$ positive or negative? is $$f'(x)$$
big or small. Use these ideas to help you sketch the derivative graph
for the following functions.
<<figure 1_4_Act1aSoln.svg>>
![image](figures/1_4_Act1bSoln.eps)
![image](figures/1_4_Act1cSoln.eps)\
![image](figures/1_4_Act1dSoln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each given graph of $$y = f(x)$$, sketch an approximate graph of its
derivative function, $$y = f'(x)$$, on the axes immediately below. The
scale of the grid for the graph of $$f$$ is $$1 \times 1$$; assume the
horizontal scale of the grid for the graph of $$f'$$ is identical to that
for $$f$$. If necessary, adjust and label the vertical scale on the axes
for $$f'$$.
%\centerline{\hspace{4in}}
\scalebox{0.85}{\includegraphics{figures/1_4_Act1b.eps}}
%\end{center}
\vfill \ \pagebreak
\scalebox{0.85}{\includegraphics{figures/1_4_Act1c.eps}}
\centerline{\hspace{4in}}
\scalebox{0.85}{\includegraphics{figures/1_4_Act1d.eps}}
When you are finished with all 8 graphs, write several sentences that
describe your overall process for sketching the graph of the derivative
function, given the graph the original function. What are the values of
the derivative function that you tend to identify first? What do you do
thereafter? How do key traits of the graph of the derivative function
exemplify properties of the graph of the original function?
Points where the slope of the tangent line is equal to zero are
particularly important. Try finding these points first in your effort to
plot $$y = f'(x)$$ and plotting those zero values on the axes where you’ll
graph $$y = f'(x)$$.
Points where the slope of the tangent line is equal to zero are
particularly important. Try finding these points first in your effort to
plot $$y = f'(x)$$ and plotting those zero values on the axes where you’ll
graph $$y = f'(x)$$. After doing so, think carefully as well about the
questions: at this point, is $$f'(x)$$ positive or negative? is $$f'(x)$$
big or small. Use these ideas to help you sketch the derivative graph
for the following functions.
![image](figures/1_4_Act1aSoln.eps)\
![image](figures/1_4_Act1bSoln.eps)
![image](figures/1_4_Act1cSoln.eps)\
![image](figures/1_4_Act1dSoln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the listed functions, determine a formula for the derivative
function. For the first two, determine the formula for the derivative by
thinking about the nature of the given function and its slope at various
points; do not use the limit definition. For the latter four, use the
limit definition. Pay careful attention to the function names and
independent variables. It is important to be comfortable with using
letters other than $$f$$ and $$x$$. For example, given a function $$p(z)$$, we
call its derivative $$p'(z)$$.
''e)''
$$F(t) = \frac{1}{t}$$
''f)''
$$G(y) = \sqrt{y}$$
What is the slope of the function at every point?
What is the slope of the function at every point?
$$p(z+h) = (z+h)^2$$
$$q(s+h) = (s+h)^3$$
$$F(t+h) = \frac{1}{t+h}$$
$$G(y+h) = \sqrt{y+h}$$
The function is a horizontal line.
The function is a line with slope 1.
$$p(z+h) - p(z) = (z+h)^2 - z^2 = z^2 + 2zh + h^2 - z^2$$
$$q(s+h) - q(s) = (s+h)^3 - s^3 = s^3 + 3s^2h + 3sh^2 + h^3 - s^3$$
Find a common denominator for $$ \frac{1}{t+h} - \frac{1}{t}$$.
Multiply the difference quotient by this form of 1:
$$\frac{\sqrt{y+h} + \sqrt{y}}{\sqrt{y+h} + \sqrt{y}}.$$
$$f'(x) = 0$$ because the slope of the tangent line to the horizontal line
given by $$f(x) = 1$$ is zero at every value of $$x$$.
$$g'(t) = 1$$ because the slope of the tangent line to the line given by
$$g(t) = t$$ is 1 at every value of $$t$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Let $$f$$ be a function with the following properties: $$f$$ is
differentiable at every value of $$x$$ (that is, $$f$$ has a derivative at
every point), $$f(-2) = 1$$, and $$f'(-2) = -2$$, $$f'(-1) = -1$$,
$$f'(0) = 0$$, $$f'(1) = 1$$, and $$f'(2) = 2$$.
''a)'' On the axes provided at left in <<figreference 1_2_Ez31.svg>>, sketch a possible
graph of $$y = f(x)$$. Explain why your graph meets the stated criteria.
''b)'' On the axes at right in <<figreference 1_2_Ez31.svg>>, sketch a possible graph of
$$y = f'(x)$$. What type of curve does the provided data suggest for the
graph of $$y = f'(x)$$?
''c)'' Conjecture a formula for the function $$y = f(x)$$. Use the limit
definition of the derivative to determine the corresponding formula for
$$y = f'(x)$$. Discuss both graphical and algebraic evidence for whether
or not your conjecture is correct.
''2.'' Consider the function $$g(x) = x^2 - x + 3$$.
''a)'' Use the limit definition of the derivative to determine a formula for
$$g'(x)$$.
''b)'' Use a graphing utility to plot both $$y = g(x)$$ and your result for
$$y = g'(x)$$; does your formula for $$g'(x)$$ generate the graph you
expected?
''c)'' Use the limit definition of the derivative to find a formula for $$h'(x)$$
where $$h(x) = 5x^2 - 4x + 12.$$
''d)'' Compare and contrast the formulas for $$g'(x)$$ and $$h'(x)$$ you have
found. How do the constants 5, 4, 12, and 3 affect the results?
''3.'' Let $$g$$ be a continuous function (that is, one with no jumps or holes in
the graph) and suppose that a graph of $$y= g'(x)$$ is given by the graph
on the right in <<figreference 1_4_Ez2.svg>>
''a)'' Observe that for every value of $$x$$ that satisfies $$0 < x < 2$$, the
value of $$g'(x)$$ is constant. What does this tell you about the behavior
of the graph of $$y = g(x)$$ on this interval?
''b)'' On what intervals other than $$0 < x < 2$$ do you expect $$y = g(x)$$ to be
a linear function? Why?
''c)'' At which values of $$x$$ is $$g'(x)$$ not defined? What behavior does this
lead you to expect to see in the graph of $$y=g(x)$$?
''d)'' Suppose that $$g(0) = 1$$. On the axes provided at left in
<<figreference 1_4_Ez2.svg>>, sketch an accurate graph of $$y = g(x)$$.
''4.'' For each graph that provides an original function $$y = f(x)$$ in
<<figreference 1_4_Ez3.svg>> (on the following page), your task is to sketch an
approximate graph of its derivative function, $$y = f'(x)$$, on the axes
immediately below. View the scale of the grid for the graph of $$f$$ as
being $$1 \times 1$$, and assume the horizontal scale of the grid for the
graph of $$f'$$ is identical to that for $$f$$. If you need to adjust the
vertical scale on the axes for the graph of $$f'$$, you should label that
accordingly.
<<multifigure 1_4_Ez3.svg>>
How does the limit definition of the derivative of a function $$f$$ lead
to an entirely new (but related) function $$f'$$?
What is the difference between writing $$f'(a)$$ and $$f'(x)$$?
How is the graph of the derivative function $$f'(x)$$ connected to the
graph of $$f(x)$$?
What are some examples of functions $$f$$ for which $$f'$$ is not defined at
one or more points?
Given a function $$y = f(x)$$, we now know that if we are interested in
the instantaneous rate of change of the function at $$x = a$$, or
equivalently the slope of the tangent line to $$y = f(x)$$ at $$x = a$$, we
can compute the value $$f'(a)$$. In all of our examples to date, we have
arbitrarily identified a particular value of $$a$$ as our point of
interest: $$a = 1$$, $$a = 3$$, etc. But it is not hard to imagine that we
will often be interested in the derivative value for more than just one
$$a$$-value, and possibly for many of them. In this section, we explore
how we can move from computing simply $$f'(1)$$ or $$f'(3)$$ to working more
generally with $$f'(a)$$, and indeed $$f'(x)$$. Said differently, we will
work toward understanding how the so-called process of “taking the
derivative” generates a new function that is derived from the original
function $$y = f(x)$$. The following preview activity starts us down this
path.
!!How the derivative is itself a function
In your work in <<reference 1.4.PA1>> with $$f(x) = 4x - x^2$$, you
may have found several patterns. One comes from observing that
$$f'(0) = 4$$, $$f'(1) = 2$$, $$f'(2) = 0$$, and $$f'(3) = -2$$. That sequence
of values leads us naturally to conjecture that $$f'(4) = -4$$ and
$$f'(5) = -6.$$ Even more than these individual numbers, if we consider
the role of $$0$$, $$1$$, $$2$$, and $$3$$ in the process of computing the value
of the derivative through the limit definition, we observe that the
particular number has very little effect on our work. To see this more
clearly, we compute $$f'(a)$$, where $$a$$ represents a number to be named
later. Following the now standard process of using the limit definition
of the derivative,
<center>
<table class="equationtable">
<tr><td> $$f'(a)$$ </td><td>= $$ \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}$$ </td></tr>
<tr><td></td><td>= $$ \lim_{h \to 0} \frac{4(a + h) - (a + h)^2 - (4a-a^2)}{h}$$</td></tr>
<tr><td></td><td>= $$ \lim_{h \to 0} \frac{4a + 4h - a^2 - 2ha - h^2 - 4a+a^2}{h}$$ </td></tr>
<tr><td></td><td>= $$ \lim_{h \to 0} \frac{4h - 2ha - h^2}{h}$$ </td></tr>
<tr><td></td><td>= $$\lim_{h \to 0} \frac{h(4 - 2a - h)}{h}$$ </td></tr>
<tr><td></td><td>= $$ \lim_{h \to 0} (4 - 2a - h)$$ </td></tr>
Here we observe that neither $$4$$ nor $$2a$$ depend on the value of $$h$$, so
as $$h \to 0$$, $$(4 - 2a - h) \to (4 - 2a)$$. Thus, $$f'(a) = 4 - 2a$$.
This observation is consistent with the specific values we found above:
e.g., $$f'(3) = 4 - 2(3) = -2$$. And indeed, our work with $$a$$ confirms
that while the particular value of $$a$$ at which we evaluate the
derivative affects the value of the derivative, that value has almost no
bearing on the process of computing the derivative. We note further that
the letter being used is immaterial: whether we call it $$a$$, $$x$$, or
anything else, the derivative at a given value is simply given by “4
minus 2 times the value.” We choose to use $$x$$ for consistency with the
original function given by $$y = f(x)$$, as well as for the purpose of
graphing the derivative function, and thus we have found that for the
function $$f(x) = 4x - x^2$$, it follows that $$f'(x) = 4 - 2x.$$
Because the value of the derivative function is so closely linked to the
graphical behavior of the original function, it makes sense to look at
both of these functions plotted on the same domain.
<<figure 1_4_ffprimeplot.svg>>
In Figure <<figreference 1_4_ffprimeplot.svg>>, on the left we show a plot of
$$f(x) = 4x - x^2$$ together with a selection of tangent lines at the
points we’ve considered above. On the right, we show a plot of
$$f'(x) = 4 - 2x$$ with emphasis on the heights of the derivative graph at
the same selection of points. Notice the connection between colors in
the left and right graph: the green tangent line on the original graph
is tied to the green point on the right graph in the following way: ''the
slope of the tangent line'' at a point on the lefthand graph is the same
as the ''height'' at the corresponding point on the righthand graph. That
is, at each respective value of $$x$$, the slope of the tangent line to
the original function at that $$x$$-value is the same as the height of the
derivative function at that $$x$$-value. Do note, however, that the units
on the vertical axes are different: in the left graph, the vertical
units are simply the output units of $$f$$. On the righthand graph of
$$y = f'(x)$$, the units on the vertical axis are units of $$f$$ per unit of
$$x$$.
Of course, this relationship between the graph of a function $$y = f(x)$$
and its derivative is a dynamic one. An excellent way to explore how the
graph of $$f(x)$$ generates the graph of $$f'(x)$$ is through a java applet.
See, for instance, the applets at
[[http://gvsu.edu/s/5C|http://gvsu.edu/s/5C]] or
[[http://gvsu.edu/s/5D|http://gvsu.edu/s/5D]], via the sites of [[David Austin|http://gvsu.edu/s/5r]] and [[Marc Renault|http://gvsu.edu/s/5p]].
In Section <<reference 1.3.DerivativePt>> when we first defined the derivative, we
wrote the definition in terms of a value $$a$$ to find $$f'(a)$$. As we have
seen above, the letter $$a$$ is merely a placeholder, and it often makes
more sense to use $$x$$ instead. For the record, here we restate the
definition of the derivative.
''Definition 1.4'' Let $$f$$ be a function and $$x$$ a value in the function’s domain. We
define the ''derivative of $$f$$ with respect to $$x$$ at the value $$x$$'',
denoted $$f'(x)$$, by the formula
$$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h},$$ provided this limit
exists.
We now may take two different perspectives on thinking about the
derivative function: given a graph of $$y = f(x)$$, how does this graph
lead to the graph of the derivative function $$y = f'(x)$$? and given a
formula for $$y = f(x)$$, how does the limit definition of the derivative
generate a formula for $$y = f'(x)$$? Both of these issues are explored in
the following activities.
For a dynamic investigation that allows you to experiment with graphing
$$f'$$ when given the graph of $$f$$, see [[Marc Renault, Calculus Applets Using Geogebra.|http://gvsu.edu/s/8y]]
Now, recall the opening example of this section: we began with the
function $$y = f(x) = 4x - x^2$$ and used the limit definition of the
derivative to show that $$f'(a) = 4 - 2a$$, or equivalently that
$$f'(x) = 4 - 2x$$. We subsequently graphed the functions $$f$$ and $$f'$$ as
shown in <<figreference 1_4_ffprimeplot.svg>>. Following <<reference 1.4.Act1>>, we now
understand that we could have constructed a fairly accurate graph of
$$f'(x)$$ ''without'' knowing a formula for either $$f$$ or $$f'$$. At the same
time, it is ideal to know a formula for the derivative function whenever
it is possible to find one.
In the next activity, we further explore the more algebraic approach to
finding $$f'(x)$$: given a formula for $$y = f(x)$$, the limit definition of
the derivative will be used to develop a formula for $$f'(x)$$.
!Summary
---
In this section, we encountered the following important ideas:
---
* The limit definition of the derivative, $$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$$, produces a value for each $$x$$ at which the derivative is defined, and this leads to a new function whose formula is $$y = f'(x)$$. Hence we talk both about a given function $$f$$ and its derivative $$f'$$. It is especially important to note that taking the derivative is a process that starts with a given function ($$f$$) and produces a new, related function ($$f'$$).
* There is essentially no difference between writing $$f'(a)$$ (as we did regularly in Section [S:1.3.DerivativePt]) and writing $$f'(x)$$. In either case, the variable is just a placeholder that is used to define the rule for the derivative function.
* Given the graph of a function $$y = f(x)$$, we can sketch an approximate graph of its derivative $$y = f'(x)$$ by observing that ''heights'' on the derivative’s graph correspond to ''slopes'' on the original function’s graph.
* In <<reference 1.4.Act1>>, we encountered some functions that had sharp corners on their graphs, such as the shifted absolute value function. At such points, the derivative fails to exist, and we say that $$f$$ is not differentiable there. For now, it suffices to understand this as a consequence of the jump that must occur in the derivative function at a sharp corner on the graph of the original function.
{{1.4.DerivativeFxn(Ex)}}
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$f(x) = 4x - x^2$$.
''a)'' Use the limit definition to compute the following derivative values:
$$f'(0)$$, $$f'(1)$$, $$f'(2)$$, and $$f'(3)$$.
''c)'' Observe that the work to find $$f'(a)$$ is the same, regardless of the
value of $$a$$. Based on your work in (a), what do you conjecture is the
value of $$f'(4)$$? How about $$f'(5)$$? (Note: you should ''not'' use the
limit definition of the derivative to find either value.)
''c)'' Conjecture a formula for $$f'(a)$$ that depends only on the value $$a$$.
That is, in the same way that we have a formula for $$f(x)$$ (recall
$$f(x) = 4x - x^2$$), see if you can use your work above to guess a
formula for $$f'(a)$$ in terms of $$a$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A potato is placed in an oven, and the potato’s temperature $$F$$ (in
degrees Fahrenheit) at various points in time is taken and recorded in
the following table. Time $$t$$ is measured in minutes.
''a)'' Use a central difference to estimate the instantaneous rate of change of
the temperature of the potato at $$t= 30$$. Include units on your answer.
''b)'' Use a central difference to estimate the instantaneous rate of change of
the temperature of the potato at $$t= 60$$. Include units on your answer.
''c)'' Without doing any calculation, which do you expect to be greater:
$$F'(75)$$ or $$F'(90)$$? Why?
''d)'' Suppose it is given that $$F(64) = 330.28$$ and $$F'(64) = 1.341$$. What are
the units on these two quantities? What do you expect the temperature of
the potato to be when $$t = 65$$? when $$t = 66$$? Why?
''e)'' Write a couple of careful sentences that describe the behavior of the
temperature of the potato on the time interval $$[0,90]$$, as well as the
behavior of the instantaneous rate of change of the temperature of the
potato on the same time interval.
Think about quantities such as $$\frac{F(45)-F(30)}{45-30}$$.
Is $$F$$ changing faster at $$t = 75$$ or at $$t = 90$$?
Remember that the units on $$F'$$ will be “degrees Fahrenheit per minute.”
Be careful to distinguish between the temperature, $$F$$, and the rate of
change of temperature, $$F'$$, in your commentary.
Think about quantities such as $$\frac{F(45)-F(30)}{45-30}$$ and
$$\frac{F(15)-F(30)}{15-30}$$.
What overall trend do you observe in the instantaneous rate of change of
$$F$$, based on the overall trend in temperature $$F$$?
Remember that the units on $$F'$$ will be “degrees Fahrenheit per minute.”
Be careful to distinguish between the temperature, $$F$$, and the rate of
change of temperature, $$F'$$, in your commentary.
Using the central difference, we find that
$$F'(30) \approx \frac{F(45)-F(15)}{45-15} = \frac{296-180.5}{30} = 3.85$$
Using the central difference, we find that
$$F'(60) \approx \frac{F(75)-F(45)}{45-15} = \frac{342.8-296}{30} = 1.56$$
Over each subsequent time interval, we see that the amount of increase
in the potato’s temperature gets less and less, thus we expect the value
of $$F'(t)$$ to get smaller and smaller as time goes on. We therefore
expect $$F'(75) > F'(90)$$.
The value $$F(64) = 330.28$$ is the temperature of the potato in degrees
Fahrenheit at time 64, while $$F'(64) = 1.341$$ measures the instantaneous
rate of change of the potato’s temperature with respect to time at the
instant $$t = 64$$, and its units are degrees per minute. Because at time
$$t = 64$$ the potato’s temperature is increasing at 1.341 degrees per
minute, we expect that at $$t = 65$$, the temperature will be about 1.341
degrees greater than at $$t = 64$$, or in other words
$$F(65) \approx 330.28 + 1.341 = 331.621$$. Similarly, at $$t = 66$$, two
minutes have elapsed from $$t = 64$$, so we expect an increase of
$$2 \dot 1.341$$ degrees:
$$F(66) \approx 330.28 + 2 \cdot 1.341 = 332.962$$.
Throughout the time interval $$[0,90]$$, the temperature $$F$$ of the potato
is increasing. But as time goes on, the rate at which the temperature is
rising appears to be decreasing. That is, while the values of $$F$$
continue to get larger as time progresses, the values of $$F'$$ are
getting smaller (while still remaining positive). We thus might say that
“the temperature of the potato is increasing, but at a decreasing rate.”
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A company manufactures rope, and the total cost of producing $$r$$ feet of
rope is $$C(r)$$ dollars.
''a)'' What does it mean to say that $$C(2000) = 800$$?
''b)'' What are the units of $$C'(r)$$?
''c)'' Suppose that $$C(2000) = 800$$ and $$C'(2000) = 0.35$$. Estimate $$C(2100)$$,
and justify your estimate by writing at least one sentence that explains
your thinking.
''d)'' Which of the following statements do you think is true, and why?
''e)'' Suppose someone claims that $$C'(5000) = -0.1$$. What would the practical
meaning of this derivative value tell you about the approximate cost of
the next foot of rope? Is this possible? Why or why not?
The cost of producing 2000 feet of rope is $$\ldots$$
Remember that the units on any derivative are “units of output per unit
of input.”
How much do you expect $$C$$ to increase for each additional foot away
from 2000? By how many feet will the input increase to get to 2100?
In manufacturing processes, there is often a decrease in cost per unit
as the number of units increases.
Is it possible for the total cost function to be decreasing at some
point?
The total cost of producing 2000 feet of rope is $$\ldots$$
Remember that the units on any derivative are “units of output per unit
of input” and that the input here is $$r$$ feet.
Since $$C'(2000) = 0.35$$ dollars/foot, we expect that for each additional
foot of rope, the cost will increase by $$0.35$$ dollars.
In manufacturing processes, there is often a decrease in cost per unit
as the number of units increases. What does that tell us to expect about
the derivative of $$C(r)$$?
If $$C'(5000) = -0.1$$, this would tell us that $$C(r)$$ is a decreasing
function at $$r = 5000$$, which means that the total cost to make $$5001$$
feet of rope is less than the total cost to make $$5000$$ feet of rope. Is
this possible?
$$C(2000) = 800$$ means that it costs \$$800 to make 2000 feet of rope.
The units of $$C'(r)$$ are “dollars per foot.”
If $$C(2000) = 800$$ and $$C'(2000) = 0.35$$, then we know once 2000 feet of rope are produced, the total cost function is increasing at $0.35 per additional foot of rope. Then, if we manufacture an additional 100 feet
of rope, the additional total cost will be approximately
$$100 \ feet \cdot 0.35 \ \frac{dollars}{foot} = 35 \ dollars.$$
Therefore, we find that $$C(2100) \approx C(2000) + 35 = 835,$$ or that
the cost to make 2100 feet of rope is about \$$835.
Either $$C'(2000) = C'(3000)$$ or $$C'(2000) > C'(3000)$$, since we expect
the cost per foot of additional rope to either stay constant or to get
smaller as the production volume increases. Said differently, the
instantaneous rate of change of the total cost function should either be
constant or decrease due to economy of scale.
It is impossible to have $$C'(5000) = -0.1$$ and indeed to have any
negative derivative value for the total cost function. The total cost
function $$C(r)$$ can never decrease, because it doesn’t make sense for
the total cost of producing 5001 feet of rope to be less than the total
cost of producing 5000 feet of rope.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Researchers at a major car company have found a function that relates
gasoline consumption to speed for a particular model of car. In
particular, they have determined that the consumption $$C$$, in
<span>''liters per kilometer''</span>, at a given speed $$s$$, is given by
a function $$C = f(s)$$, where $$s$$ is the car’s speed in
<span>''kilometers per hour''</span>.
''a)'' Data provided by the car company tells us that $$f(80) = 0.015$$,
$$f(90) = 0.02$$, and $$f(100) = 0.027$$. Use this information to estimate
the instantaneous rate of change of fuel consumption with respect to
speed at $$s = 90$$. Be as accurate as possible, use proper notation, and
include units on your answer.
''b)'' By writing a complete sentence, interpret the meaning (in the context of
fuel consumption) of “$$f(80) = 0.015$$.”
''c)'' Write at least one complete sentence that interprets the meaning of the
value of $$f'(90)$$ that you estimated in (a).
Try a central difference.
What is happening when the car is traveling at 80 km/hr?
Remember that units on the derivative are “units of output per unit of
input.”
Remember that $$f'(a) \approx \frac{f(a+h)-f(a-h)}{2h}$$ and use
appropriate values of $$a$$ and $$h$$.
Complete the following sentence: “When the car is traveling at 80
kilometers per hour, it is using fuel at a rate of 0.015 $$\ldots$$”
Remember that units on the derivative are “units of output per unit of
input,” even when the input and/or output are rates themselves.
Using a central difference, we have
$$f'(90) = \frac{f(100) - f(80}{100-80} = \frac{0.027 - 0.015}{20} = \frac{0.012}{20} = 0.0006$$
which tells us that $$f'(90) = 0.0006$$ liters per kilometer per kilometer
per hour.
When the car is traveling at 80 kilometers per hour, it is using fuel at
a rate of 0.015 liters per kilometer. That is, at the given speed, for
each additional kilometer the car travels, it uses an additional 0.015
liters of fuel.
To say that $$f'(90) = 0.0006$$ liters per kilometer per kilometer per
hour means that when the car is traveling at 90 kilometers per hour, its
rate of fuel consumption per kilometer is increasing at a rate of 0.0006
liters per kilometer per kilometer per hour. If we increase our speed
from 90 to 91 km/hr, we would expect our rate of fuel consumption to
rise by 0.0006 liters for each additional kilometer driven.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
One of the longest stretches of straight (and flat) road in North America can be found on the Great Plains in the state of North Dakota on state highway 46, which lies just south of the interstate highway I-94 and runs through the town of Gackle. A car leaves town (at time $$t = 0$$) and heads east on highway 46; its position in miles from Gackle at time t in minutes is given by the graph of the function in <<figreference 1_5_PA1.svg>> . Three important points are labeled on the graph; where the curve looks linear, assume that it is indeed a straight line.
''a)'' In everyday language, describe the behavior of the car over the provided
time interval. In particular, discuss what is happening on the time
intervals $$[57,68]$$ and $$[68,104]$$.
''b)'' Find the slope of the line between the points $$(57,63.8)$$ and
$$(104,106.8)$$. What are the units on this slope? What does the slope
represent?
''c)'' Find the average rate of change of the car’s position on the interval
$$[68,104]$$. Include units on your answer.
''d)'' Estimate the instantaneous rate of change of the car’s position at the
moment $$t = 80$$. Write a sentence to explain your reasoning and the
meaning of this value.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A cup of coffee has its temperature $$F$$ (in degrees Fahrenheit) at time
$$t$$ given by the function $$F(t) = 75 + 110 e^{-0.05t}$$, where time is
measured in minutes.
''a)'' Use a central difference with $$h = 0.01$$ to estimate the value of
$$F'(10)$$.
''b)'' What are the units on the value of $$F'(10)$$ that you computed in (a)?
What is the practical meaning of the value of $$F'(10)$$?
''c)'' Which do you expect to be greater: $$F'(10)$$ or $$F'(20)$$? Why?
''d)'' Write a sentence that describes the behavior of the function $$y = F'(t)$$
on the time interval $$0 \le t \le 30$$. How do you think its graph will
look? Why?
''1.'' The temperature change $$T$$ (in Fahrenheit degrees), in a patient, that
is generated by a dose $$q$$ (in milliliters), of a drug, is given by the
function $$T = f(q)$$.
''a)'' What does it mean to say $$f(50) = 0.75$$? Write a complete sentence to
explain, using correct units.
''b)'' A person’s sensitivity, $$s$$, to the drug is defined by the function
$$s(q) = f'(q)$$. What are the units of sensitivity?
''c)'' Suppose that $$f'(50) = -0.02$$. Write a complete sentence to explain the
meaning of this value. Include in your response the information given in
(a).
''3.'' The velocity of a ball that has been tossed vertically in the air is
given by $$v(t) = 16 - 32t$$, where $$v$$ is measured in feet per second,
and $$t$$ is measured in seconds. The ball is in the air from $$t = 0$$
until $$t = 2$$.
''a)'' When is the ball’s velocity greatest?
''b)'' Determine the value of $$v'(1)$$. Justify your thinking.
''c)'' What are the units on the value of $$v'(1)$$? What does this value and the
corresponding units tell you about the behavior of the ball at time
$$t = 1$$?
''d)'' What is the physical meaning of the function $$v'(t)$$?
''4.'' The value, $$V$$, of a particular automobile (in dollars) depends on the
number of miles, $$m$$, the car has been driven, according to the function
$$V = h(m)$$.
''a)'' Suppose that $$h(40000) = 15500$$ and $$h(55000) = 13200$$. What is the
average rate of change of $$h$$ on the interval $$[40000,55000]$$, and what
are the units on this value?
''b)'' In addition to the information given in (a), say that
$$h(70000) = 11100$$. Determine the best possible estimate of $$h'(55000)$$
and write one sentence to explain the meaning of your result, including
units on your answer.
''c)'' Which value do you expect to be greater: $$h'(30000)$$ or $$h'(80000)$$?
Why?
''d)'' Write a sentence to describe the long-term behavior of the function
$$V = h(m)$$, plus another sentence to describe the long-term behavior of
$$h'(m)$$. Provide your discussion in practical terms regarding the value
of the car and the rate at which that value is changing.
In contexts other than the position of a moving object, what does the
derivative of a function measure?
What are the units on the derivative function $$f'$$, and how are they
related to the units of the original function $$f$$?
What is a central difference, and how can one be used to estimate the
value of the derivative at a point from given function data?
Given the value of the derivative of a function at a point, what can we
infer about how the value of the function changes nearby?
An interesting and powerful feature of mathematics is that it can often
be thought of both in abstract terms and in applied ones. For instance,
calculus can be developed almost entirely as an abstract collection of
ideas that focus on properties of arbitrary functions. At the same time,
calculus can also be very directly connected to our experience of
physical reality by considering functions that represent meaningful
processes. We have already seen that for a position function $$y = s(t)$$,
say for a ball being tossed straight up in the air, the ball’s velocity
at time $$t$$ is given by $$v(t) = s'(t)$$, the derivative of the position
function. Further, recall that if $$s(t)$$ is measured in feet at time
$$t$$, the units on $$v(t) = s'(t)$$ are feet per second.
In what follows in this section, we investigate several different
functions, each with specific physical meaning, and think about how the
units on the independent variable, dependent variable, and the
derivative function add to our understanding. To start, we consider the
familiar problem of a position function of a moving object.
!!Units of the derivative function
As we now know, the derivative of the function $$f$$ at a fixed value $$x$$
is given by
$$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h},$$
and this value has
several different interpretations. If we set $$x = a$$, one meaning of
$$f'(a)$$ is the slope of the tangent line at the point $$(a,f(a))$$.
In alternate notation, we also sometimes equivalently write
$$\frac{df}{dx}$$ or $$\frac{dy}{dx}$$ instead of $$f'(x)$$, and these
notations helps us to further see the units (and thus the meaning) of
the derivative as it is viewed as ''the instantaneous rate of change of
$$f$$ with respect to $$x$$''. Note that the units on the slope of the secant
line, $$\frac{f(x+h)-f(x)}{h}$$, are “units of $$f$$ per unit of $$x$$.” Thus,
when we take the limit to get $$f'(x)$$, we get these same units on the
derivative $$f'(x)$$: units of $$f$$ per unit of $$x$$. Regardless of the
function $$f$$ under consideration (and regardless of the variables being
used), it is helpful to remember that the units on the derivative
function are “units of output per unit of input,” in terms of the input
and output of the original function.
For example, say that we have a function $$y = P(t)$$, where $$P$$ measures
the population of a city (in thousands) at the start of year $$t$$ (where
$$t = 0$$ corresponds to 2010 AD), and we are told that $$P'(2) = 21.37$$.
What is the meaning of this value? Well, since $$P$$ is measured in
thousands and $$t$$ is measured in years, we can say that the
instantaneous rate of change of the city’s population with respect to
time at the start of 2012 is 21.37 thousand people per year. We
therefore expect that in the coming year, about 21,370 people will be
added to the city’s population.
!!Toward more accurate derivative estimates
It is also helpful to recall, as we first experienced in
Section <<reference 1.3.DerivativePt>>, that when we want to estimate the value of
$$f'(x)$$ at a given $$x$$, we can use the ''difference quotient'' $$\frac{f(x+h)-f(x)}{h}$$ with a relatively small value of $$h$$. In doing
so, we should use both positive and negative values of $$h$$ in order to
make sure we account for the behavior of the function on both sides of
the point of interest. To that end, we consider the following brief
example to demonstrate the notion of a ''central difference'' and its role
in estimating derivatives.
---
''Example 1.4.'' Suppose that $$y = f(x)$$ is a function for which three values are known:
$$f(1) = 2.5$$, $$f(2) = 3.25$$, and $$f(3) = 3.625$$. Estimate $$f'(2)$$.
''Solution.'' We know that $$f'(2) = \lim_{h \to 0} \frac{f(2+h) - f(2)}{h}$$. But since
we don’t have a graph for $$y = f(x)$$ nor a formula for the function, we
can neither sketch a tangent line nor evaluate the limit exactly. We
can’t even use smaller and smaller values of $$h$$ to estimate the limit.
Instead, we have just two choices: using $$h = -1$$ or $$h = 1$$, depending
on which point we pair with $$(2,3.25)$$.
So, one estimate is
$$f'(2) \approx \frac{f(1)-f(2)}{1-2} = \frac{2.5-3.25}{-1} = 0.75.$$
$$f'(2) \approx \frac{f(3)-f(2)}{3-2} = \frac{3.625-3.25}{1} = 0.375.$$
Since the first approximation looks only backward from the point
$$(2,3.25)$$ and the second approximation looks only forward from
$$(2,3.25)$$, it makes sense to average these two values in order to
account for behavior on both sides of the point of interest. Doing so,
we find that
$$f'(2) \approx \frac{0.75 + 0.375}{2} = 0.5625.$$
---
The intuitive approach to average the two estimates found in
''Example 1.4'' is in fact the best possible estimate to $$f'(2)$$ when
we have just two function values for $$f$$ on opposite sides of the point
of interest.
To see why, we think about the diagram in <<figreference 1_5_Ex1.svg>>, which
shows a possible function $$y = f(x)$$ that satisfies the data given in
Example [Ex:1.5.1]. On the left, we see the two secant lines with slopes
that come from computing the ''backward difference''
$$\frac{f(1)-f(2)}{1-2} = 0.75$$ and from the ''forward difference''
$$\frac{f(3)-f(2)}{3-2} = 0.375.$$ Note how the first such line’s slope
over-estimates the slope of the tangent line at $$(2,f(2))$$, while the
second line’s slope underestimates $$f'(2)$$. On the right, however, we
see the secant line whose slope is given by the ''central difference''
$$\frac{f(3)-f(1)}{3-1} = \frac{3.625-2.5}{2} = \frac{1.125}{2} = 0.5625.$$
Note that this central difference has the exact same value as the
average of the forward difference and backward difference (and it is
straightforward to explain why this always holds), and moreover that the
central difference yields a very good approximation to the derivative’s
value, in part because the secant line that uses both a point before and
after the point of tangency yields a line that is closer to being
parallel to the tangent line.
In general, the central difference approximation to the value of the
first derivative is given by
$$f'(a) \approx \frac{f(a+h) - f(a-h)}{2h},$$
and this quantity measures the slope of the secant line to $$y = f(x)$$
through the points $$(a-h, f(a-h))$$ and $$(a+h, f(a+h))$$. Anytime we have
symmetric data surrounding a point at which we desire to estimate the
derivative, the central difference is an ideal choice for so doing.
The following activities will further explore the meaning of the
derivative in several different contexts while also viewing the
derivative from graphical, numerical, and algebraic perspectives.
In <<reference 1.4.DerivativeFxn>>, we learned how use to the graph of a
given function $$f$$ to plot the graph of its derivative, $$f'$$. It is
important to remember that when we do so, not only does the scale on the
vertical axis often have to change to accurately represent $$f'$$, but the
units on that axis also differ. For example, suppose that
$$P(t) = 400-330e^{-0.03t}$$ tells us the temperature in degrees
Fahrenheit of a potato in an oven at time $$t$$ in minutes. In
Figure <<figreference 1_5_PPprimeplot.svg>>, we sketch the graph of $$P$$ on the left and the
graph of $$P'$$ on the right.
<<figure 1_5_PPprimeplot.svg>>
Note how not only are the vertical scales different in size, but
different in units, as the units of $$P$$ are $$^{\circ}$$F, while those of
$$P'$$ are $$^{\circ}$$F/min. In all cases where we work with functions that
have an applied context, it is helpful and instructive to think
carefully about units involved and how they further inform the meaning
of our computations.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Regardless of the context of a given function $$y=f(x)$$, the derivative always measures the instantaneous rate of change of the output variable with respect to the input variable.
* The units on the derivative function $$y = f'(x)$$ are units of $$f$$ per unit of $$x$$. Again, this measures how fast the output of the function $$f$$ changes when the input of the function changes.
* The central difference approximation to the value of the first derivative is given by
$$f'(a) \approx \frac{f(a+h) - f(a-h)}{2h},$$
and this quantity measures the slope of the secant line to $$y = f(x)$$
through the points $$(a-h, f(a-h))$$ and $$(a+h, f(a+h))$$. The central
difference generates a good approximation of the derivative’s value any
time we have symmetric data surrounding a point of interest.
*Knowing the derivative and function values at a single point enables us to estimate other function values nearby. If, for example, we know that $$f'(7) = 2$$, then we know that at $$x = 7$$, the function $$f$$ is increasing at an instantaneous rate of 2 units of output for every one unit of input. Thus, we expect $$f(8)$$ to be approximately 2 units greater than $$f(7)$$. The value is approximate because we don’t know that the rate of change stays the same as $$x$$ changes.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The position of a car driving along a straight road at time $$t$$ in
minutes is given by the function $$y = s(t)$$ that is pictured in
Figure [F:1.6.A1]. The car’s position function has units measured in
thousands of feet. Remember that you worked with this function and
sketched graphs of $$y = v(t) = s'(t)$$ and $$y = v'(t)$$ in Preview
Activity [PA:1.6].
''a)'' On what intervals is the position function $$y = s(t)$$ increasing?
decreasing? Why?
''b)'' On which intervals is the velocity function $$y = v(t) = s'(t)$$
increasing? decreasing? neither? Why?
''c)'' ''Acceleration'' is defined to be the instantaneous rate of change of
velocity, as the acceleration of an object measures the rate at which
the velocity of the object is changing. Say that the car’s acceleration
function is named $$a(t)$$. How is $$a(t)$$ computed from $$v(t)$$? How is
$$a(t)$$ computed from $$s(t)$$? Explain.
''d)'' What can you say about $$s''$$ whenever $$s'$$ is increasing? Why?
''e)'' Using only the words ''increasing'', ''decreasing'', ''constant'', ''concave
up'', ''concave down'', and ''linear'', complete the following sentences. For
the position function $$s$$ with velocity $$v$$ and acceleration $$a$$,
- on an interval where $$v$$ is positive, $$s$$ is .
- on an interval where $$v$$ is negative, $$s$$ is .
- on an interval where $$v$$ is zero, $$s$$ is .
- on an interval where $$a$$ is positive, $$v$$ is .
- on an interval where $$a$$ is negative, $$v$$ is .
- on an interval where $$a$$ is zero, $$v$$ is .
- on an interval where $$a$$ is positive, $$s$$ is .
- on an interval where $$a$$ is negative, $$s$$ is .
- on an interval where $$a$$ is zero, $$s$$ is .
Remember that a function is increasing on an interval if and only if its
first derivative is positive on the interval.
See (a).
Remember that the first derivative of a function measures its
instantaneous rate of change.
Think about how $$s''(t) = [s'(t)]'$$.
Be very careful with your letters: $$s$$, $$v$$, and $$a$$.
Remember that a function is increasing on an interval if and only if its
first derivative is positive on the interval and that $$v(t) = s'(t)$$.
See (a), and note that $$v'(t) = s''(t)$$.
Remember that the first derivative of a function measures its
instantaneous rate of change, so $$s''(t)$$ measures the instantaneous
rate of change of $$v(t) = s'(t)$$.
Note that $$s''(t) = [s'(t)]'$$, so $$s''(t)$$ is the slope of the tangent
line to $$y = s'(t)$$.
Be very careful with your letters: $$s$$, $$v$$, and $$a$$. For instance, note
that when acceleration is positive, velocity must be increasing.
The position function $$y = s(t)$$ increasing on the intervals $$0<t<2$$,
$$3<t<5$$, $$7<t<9$$, and $$10<t<12$$, because at every point in such
intervals, $$s'(t)$$ is positive. For the provided function, $$s(t)$$ is
never decreasing because its derivative is never negative.
The velocity function $$y = v(t)$$ appears to be increasing on the
intervals $$0<t<1$$, $$3<t<4$$, $$7<t<8$$, and $$10<t<11$$ because the curve
$$y = s(t)$$ is concave up which corresponds to an increasing first
derivative $$y =s'(t)$$. Similarly, $$y = v(t)$$ appears to be decreasing on
the intervals $$1<t<2$$, $$4<t<5$$, $$8<t<9$$, and $$11<t<12$$ because the curve
$$y = s(t)$$ is concave down which corresponds to a decreasing first
derivative $$y =s'(t)$$. On the intervals $$2<t<3$$, $$5<t<7$$, and $$9<t<10$$,
the curve $$y = s(t)$$ is constant, and thus linear, so neither concave up
nor concave down.
Since $$a(t)$$ is the instantaneous rate of change of $$v(t)$$,
$$a(t) = v'(t)$$. And because $$v(t) = s'(t)$$, it follows that
$$a(t) = v'(t) = [s'(t)]' = s''(t)$$, so acceleration is the second
derivative of position.
Because $$s''(t)$$ is the first derivative of $$s'(t)$$, when $$s'(t)$$ is
increasing, $$s''(t)$$ must be positive.
For the position function $$s(t)$$ with velocity $$v(t)$$ and acceleration
$$a(t)$$,
on an interval where $$v(t)$$ is positive, $$s(t)$$ is .
on an interval where $$v(t)$$ is negative, $$s(t)$$ is .
on an interval where $$v(t)$$ is zero, $$s(t)$$ is .
on an interval where $$a(t)$$ is positive, $$v(t)$$ is .
on an interval where $$a(t)$$ is negative, $$v(t)$$ is .
on an interval where $$a(t)$$ is zero, $$v(t)$$ is .
on an interval where $$a(t)$$ is positive, $$s(t)$$ is .
on an interval where $$a(t)$$ is negative, $$s(t)$$ is .
on an interval where $$a(t)$$ is zero, $$s(t)$$ is .
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
This activity builds on our experience and understanding of how to
sketch the graph of $$f'$$ given the graph of $$f$$. In <<figreference 1_6_Act2.svg>>,
given the respective graphs of two different functions $$f$$, sketch the
corresponding graph of $$f'$$ on the first axes below, and then sketch
$$f''$$ on the second set of axes. In addition, for each, write several
careful sentences in the spirit of those in <<reference 1.6.Act1>> that
connect the behaviors of $$f$$, $$f'$$, and $$f''$$. For instance, write
something such as
$$f'$$ is _ _ _ _ _ _ _ on the interval _ _ _ _ , which is connected to the fact that $$f$$ is _ _ _ _ _ _ _ on
the same interval _ _ _ _ , and $$f''$$ is _ _ _ _ _ _ _ _ on the interval as well
but of course with the blanks filled in. Throughout, view the scale of
the grid for the graph of $$f$$ as being $$1 \times 1$$, and assume the
horizontal scale of the grid for the graph of $$f'$$ is identical to that
for $$f$$. If you need to adjust the vertical scale on the axes for the
graph of $$f'$$ or $$f''$$, you should label that accordingly.
Remember that to plot $$y = f'(x)$$, it is helpful to first identify where
$$f'(x) = 0.$$
Remember that to plot $$y = f'(x)$$, it is helpful to first identify where
$$f'(x) = 0$$, and then ask where $$y = f'(x)$$ is positive and negative. In
a similar way, once $$y = f'(x)$$ has been plotted, to construct the graph
of $$y=f''(x)$$, it is useful to note where the slope of the tangent line
to $$y = f'(x)$$ is zero, as well as where such slopes are positive and
negative. Heights on the graph of $$y = f''(x)$$ will correspond to slopes
on $$y = f'(x)$$.
The graphs of $$f'$$ and $$f''$$ are plotted in Figure \''\''\''.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
This activity builds on our experience and understanding of how to
sketch the graph of $$f'$$ given the graph of $$f$$. In Figure [F:1.6.A2],
given the respective graphs of two different functions $$f$$, sketch the
corresponding graph of $$f'$$ on the first axes below, and then sketch
$$f''$$ on the second set of axes. In addition, for each, write several
careful sentences in the spirit of those in Activity [A:1.6.1] that
connect the behaviors of $$f$$, $$f'$$, and $$f''$$. For instance, write
something such as
$$f'$$ is on the interval , which is connected to the fact that $$f$$ is on
the same interval , and $$f''$$ is on the interval as well
but of course with the blanks filled in. Throughout, view the scale of
the grid for the graph of $$f$$ as being $$1 \times 1$$, and assume the
horizontal scale of the grid for the graph of $$f'$$ is identical to that
for $$f$$. If you need to adjust the vertical scale on the axes for the
graph of $$f'$$ or $$f''$$, you should label that accordingly.
Remember that to plot $$y = f'(x)$$, it is helpful to first identify where
$$f'(x) = 0.$$
Remember that to plot $$y = f'(x)$$, it is helpful to first identify where
$$f'(x) = 0$$, and then ask where $$y = f'(x)$$ is positive and negative. In
a similar way, once $$y = f'(x)$$ has been plotted, to construct the graph
of $$y=f''(x)$$, it is useful to note where the slope of the tangent line
to $$y = f'(x)$$ is zero, as well as where such slopes are positive and
negative. Heights on the graph of $$y = f''(x)$$ will correspond to slopes
on $$y = f'(x)$$.
The graphs of $$f'$$ and $$f''$$ are plotted in Figure \''\''\''.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A potato is placed in an oven, and the potato’s temperature $$F$$ (in
degrees Fahrenheit) at various points in time is taken and recorded in
the following table. Time $$t$$ is measured in minutes. In
<<reference 1.5.Act1>>, we computed approximations to $$F'(30)$$ and $$F'(60)$$
using central differences. Those values and more are provided in the
second table below, along with several others computed in the same way.
<center>
{{Act.1.6.table}}
''a)'' What are the units on the values of $$F'(t)$$?
''b)'' Use a central difference to estimate the value of $$F''(30)$$.
''c)'' What is the meaning of the value of $$F''(30)$$ that you have computed in
(b) in terms of the potato’s temperature? Write several careful
sentences that discuss, with appropriate units, the values of $$F(30)$$,
$$F'(30)$$, and $$F''(30)$$, and explain the overall behavior of the
potato’s temperature at this point in time.
''d)'' Overall, is the potato’s temperature increasing at an increasing rate,
increasing at a constant rate, or increasing at a decreasing rate? Why?
Remember that the derivative’s units are “units of output per unit of
input.”
To estimate $$g'(a)$$, we can use
$$g'(a) \approx \frac{g(a+h)-g(a-h)}{2h}$$
for an appropriate choice of $$h$$.
For each of the values $$F'(30)$$ and $$F''(30)$$, think about what they
tell you about expected upcoming behavior in $$F(t)$$ and $$F'(t)$$,
respectively.
Remember that the derivative’s units are “units of output per unit of
input.”
To estimate $$g'(a)$$, we can use
$$g'(a) \approx \frac{g(a+h)-g(a-h)}{2h}$$
for an appropriate choice of $$h$$. So, observe that
$$F''(a) \approx \frac{F'(a+h)-F'(a-h)}{2h}$$
For each of the values $$F'(30)$$ and $$F''(30)$$, think about what they
tell you about expected upcoming behavior in $$F(t)$$ and $$F'(t)$$,
respectively. What do you expect to be the values of $$F(31)$$ and
$$F'(31)$$? Why?
Examine the given data and think about how the graph of $$y = F(t)$$ will
appear.
$$F'(t)$$ has units measured in degrees Fahrenheit per minute.
Using a central difference,
$$F''(30) \approx \frac{F'(45)-F'(15)}{30} = \frac{2.45-6.03}{30} \approx -0.119.$$
The value $$F''(30) \approx -0.119$$, which is measured in degrees per
minute per minute tells us, along with the other data, that at the
moment $$t = 30$$, the temperature of the potato is 251 degrees, that its
temperature is rising at a rate of 3.85 degrees per minute, and that the
rate at which the temperature is rising is ''falling'' at a rate of -0.119
degrees per minute per minute. That is, while the temperature is rising,
it is rising at a slower and slower rate. At $$t = 31$$, we’d expect that
the rate of increase of the potato’s temperature would have dropped to
about 3.73 degrees per minute.
The potato’s temperature increasing at a decreasing rate because the
values of the first derivative of $$F$$ are falling. Equivalently, this is
because the value of $$F''(t)$$ is negative throughout the given time
interval.
iVBORw0KGgoAAAANSUhEUgAAAtkAAACJCAIAAAB2PrMXAAAYSWlDQ1BJQ0MgUHJvZmlsZQAAWAmtWWdUFM3S7pnZxJJzlpxFcs45B8lJZck5LDkrIkoQECWrIGJCBCNBEQREFFExgBhQFFExIggKgny9GN733HPvv2/O2dlnq6trnqrq6ZmqBYCfgRITE4GyABAZFU91sjAW9vD0EiY+BwjAADtQATiKf1yMkaOjLfifx8Io1IbHfXmarf+p9t8HWAMC4/wBQBzhsF9AnH8kxOcBwDH5x1DjAcBfhXKxpPgYGn4LMQcVEoR4mYaD1zABsgccfr+w+JqOi5MJAARNAEgMFAo1GAAmUygXTvQPhnaYAuAYW1RAaBSclgyxvn8IBcr42qHO+sjIaBp+BbG037/sBP8LUyh+f21SKMF/8S9f4Ex4YdPQuJgISsraj//PU2REAozX2iECzwwhVEsn+M0B47Y/PNqGhhkgPh3lZ+8AMRvEnaHQo9/4dkiCpSvENP0J/zgTGEvABfHXAIqpDcQCAKDkhHBXo99YkkKFaE0fNQ6Nt3L5jd2o0U6/7aNhURH2tPUB7aDpIYFWf3BpYJyZM5RDDmhYUKi5FcQwV+jx1BAXd4ghT7Q9MdTNHmImiK/GhTvTONDs3EsNMaHJ13SoCU40zuJQ/jaIak7zEepgDJFxEK3Zx0T9KWvX4oFy1fgQF0soh3Mx24BAUzOI4XUxj8Ao1998sJCYeGOaHZp+akzE2vqGPLHSwAgLmlwU4oa4ROc/c6/FU11ochg3bDSMYk1br5Az9i4m3pEWExqf78AWmABTIAwS4McPRIMwEHr7Q9sH+OvXiDmgACoIBoFA/rfkzwz3tZEoeHYGqeAjiII6cX/nGa+NBoJEKF/5K/01Vx4ErY0mrs0IB6/hFSJxfDh9nA7OFp4N4UcZp4nT+jNPmPkPT4IZwZRgSTAnyPyRAH/IOgJ+qCD0v8hs4Fgg9I4Kz1F/fPjHHv41/i7+JX4EP4F/BNzAqzUrvz3dEppN/cPgr2U7MAGt/YpKIIxYFJj+o4OThKzVcMY4Pcgfcsdx4fiAPE4VemKEM4C+qUHpn+jRWCf85fZPLP/E/Y8ejbXwv3z8LWeSZVL7zcLvj1cwk38i8Z9W/hkJBQFQy+Y/NbFd2DlsAOvBbmCdWBsQxrqxdmwIu0zDvzmbr0Un+O/VnNYiGg59CP2jo3hScVpx+c+vv75SoITGgJYDuP7jA5Pj4foDJtExKdTQ4JB4YSO4CwcKW0X5b1gvrKyopAYAbU+n6QAw57S2VyNcd/6RUeC61uQEgLz0jyy6EYCWJbhlbv9HJvEYAO4vABw77Z9ATfxlD0f7wgMyYIZ3Bi9YB8SANPRJGagDHWAIzIA1cAAuwBNshlEPAZGQdRJIB9tALigAJaAMVINacBgcB6fAWdAGOkEPuAZugmEwAp7AtTEF3oMZsAB+IAhCRBgRdoQXEUIkEDlEGdFE9BEzxBZxQjwRXyQYiUISkHRkO1KAlCLVyCHkBHIG6UB6kBvIXeQR8gKZRmaRJRRDGVAOVBCVRBVQTdQItUFd0E1oMBqLpqI5aBFaidajTWgr2oPeREfQCfQ9Oo8BjB7jwkQweUwTM8EcMC8sCKNimVg+Vo7VY83YRZjr+9gE9gFbxBFw7DhhnDxcn5Y4V5w/LhaXiSvEVeOO41pxV3H3cS9wM7ifeEa8AF4Or423wnvgg/FJ+Fx8Of4o/gK+H947U/gFAoHARZAiaMB705MQRkgjFBIOEFoIVwh3CZOEeSKRyEuUI+oRHYgUYjwxl1hFbCJ2E+8Rp4jfSfQkIZIyyZzkRYoiZZPKSY2kLtI90hvSDzoWOgk6bToHugC6FLpiuga6i3R36KbofpBZyVJkPbILOYy8jVxJbib3k5+S5+jp6UXpteg30ofSb6WvpD9Nf53+Bf0iAxuDLIMJgw9DAkMRwzGGKwyPGOYYGRklGQ0ZvRjjGYsYTzD2MT5j/M7EzrSByYopgCmLqYapleke0ydmOmYJZiPmzcypzOXM55jvMH9goWORZDFhobBkstSwdLA8ZJlnZWdVYnVgjWQtZG1kvcH6lo3IJslmxhbAlsN2mK2PbZIdYxdjN2H3Z9/O3sDezz7FQeCQ4rDiCOMo4DjFcZtjhpONU5XTjTOZs4bzMucEF8YlyWXFFcFVzHWWa5RriVuQ24g7kDuPu5n7Hvc3Hn4eQ55AnnyeFp4RniVeYV4z3nDePbxtvON8OD5Zvo18SXwH+fr5PvBz8Ovw+/Pn85/lfyyACsgKOAmkCRwWGBKYF1wnaCEYI1gl2Cf4YR3XOsN1Yev2retaNy3ELqQvFCq0T6hb6J0wp7CRcIRwpfBV4RkRARFLkQSRQyK3RX6ISom6imaLtoiOi5HFNMWCxPaJ9YrNiAuJ24mni58UfyxBJ6EpESJRITEg8U1SStJdcqdkm+RbKR4pK6lUqZNST6UZpQ2kY6XrpR/IEGQ0ZcJlDsgMy6KyarIhsjWyd+RQOXW5ULkDcnfX49drrY9aX7/+oTyDvJF8ovxJ+RcbuDbYbsje0Lbhk4K4gpfCHoUBhZ+KaooRig2KT5TYlKyVspUuKs0qyyr7K9coP1BhVDFXyVJpV/miKqcaqHpQdUyNXc1Obadar9qKuoY6Vb1ZfVpDXMNXY7/GQ00OTUfNQs3rWngtY60srU6tRW117Xjts9qfdeR1wnUadd7qSukG6jboTuqJ6lH0DulN6Avr++rX6U8YiBhQDOoNXhqKGQYYHjV8YyRjFGbUZPTJWNGYanzB+JuJtkmGyRVTzNTCNN/0thmbmatZtdkzc1HzYPOT5jMWahZpFlcs8ZY2lnssH1oJWvlbnbCasdawzrC+asNg42xTbfPSVtaWanvRDrWztttr99Rewj7Kvs0BOFg57HUYd5RyjHW8tJGw0XFjzcbXTkpO6U4DzuzOW5wbnRdcjF2KXZ64SrsmuPa6Mbv5uJ1w++Zu6l7qPuGh4JHhcdOTzzPUs92L6OXmddRr3tvMu8x7ykfNJ9dndJPUpuRNNzbzbY7YfHkL8xbKlnO+eF9330bfZYoDpZ4y72flt99vxt/Ev8L/fYBhwL6A6UC9wNLAN0F6QaVBb4P1gvcGT4cYhJSHfAg1Ca0O/RJmGVYb9i3cIfxY+GqEe0RLJCnSN7Ijii0qPOpq9Lro5Oi7MXIxuTETsdqxZbEzVBvq0TgkblNcezwHfHkeSpBO2JHwIlE/sSbxe5Jb0rlk1uSo5KEU2ZS8lDep5qlH0nBp/mm96SLp29JfZBhlHMpEMv0ye7PEsnKyprZabD2+jbwtfNutbMXs0uyv2923X8wRzNmaM7nDYsfJXKZcau7DnTo7a3fhdoXuup2nkleV9zM/IH+wQLGgvGC50L9wcLfS7srdq0VBRbeL1YsPlhBKokpG9xjsOV7KWppaOrnXbm/rPuF9+fu+lm0pu1GuWl5bQa5IqJiotK1srxKvKqlarg6pHqkxrmnZL7A/b/+3AwEH7h00PNhcK1hbULtUF1o3dsjiUGu9ZH35YcLhxMOvG9waBo5oHjlxlO9owdGVY1HHJo47Hb96QuPEiUaBxuKT6MmEk9NNPk3Dp0xPtTfLNx9q4WopOA1OJ5x+d8b3zOhZm7O95zTPNZ+XOL//AvuF/FakNaV1pi2kbaLds/1uh3VH70Wdixcubbh0rFOks+Yy5+XiLnJXTtdqd2r3/JWYKx96gnsme7f0Punz6HtwdePV2/02/devmV/rGzAa6L6ud73zhvaNjkHNwbab6jdbh9SGLtxSu3Xhtvrt1jsad9qHtYYv3tW923XP4F7PfdP71x5YPbg5Yj9yd9R1dOyhz8OJsYCxt48iHn15nPj4x5OtT/FP88dZxsufCTyrfy7zvGVCfeLyC9MXQy+dXz6Z9J98/yru1fJUzmvG1+VvhN6ceKv8tnPafHr4nfe7qfcx7398yP3I+nH/J+lP5z8bfh6a8ZiZ+kL9sjpbOMc7d+yr6tfeecf5ZwuRCz++5X/n/X58UXNxYMl96c2PpGXicuWKzMrFnzY/n65Grq7GUKiUtXcBDJ7RoCAAZo8BwOgJAPswfKdg+lVzrWnAV2QE6kDshuShsZgZzgSvQBAnMpP46XjJwvT6DC6MiUxVzC9ZVdky2Uc5lbhyud/w2vJdEOAXLBYCwgkis2IR4l8ls6RZZGrkZNe3bTBWuKcUpDynmqPOp9GopaU9pOuuN2EQZPjeONJkxizS/LXlFqv7Nha25+1FHIocZ510nTNcOl2/u6t4RHjWe436kDZpbg7aUup7mTLtzxagFOgQFB68PaQy9GRYZ/hgxFjkq6gv0cuxRCp7nEA8fwJHIjlxOeld8oOU9tSqtMR0hwzJjB+Zd7IatiZv887W3y6aQ8z5tGM098rOpl3Vefn5mQXUwrDdfkXuxdolvCWLe56UXt5bu297WWi5Q4VGpXAVuepr9fOaof19By4ePFVbW1d4KLHe57Bhg+gR9MjLo1eO1R3POhHQ6HLSqsnwlGazUovMaZEzPGcZzv489+H8wwvdrQ1tue3hHY4XNS4Jd9J1fr38omu4u+fK+Z7jvQf7yq7u7t96jTKge53n+sKNB4MXblYMpd3yvW15R2mY/y7h7ty95/e7H9SOpI+6P1QYw8buPap87PmE88nNp8njYuODzxKeSz9/NVH3YtNL/pdjk+WvnKdYpm69zntj+mb1bcc05R36rua9zvvJD+Uf7T4RP3V/jpsRnun54vhldNZ6tn1u/dzRryJfa+dF5psWjBZefKv5Hr7os5T+4+FKw+rqWv7NUCUMh03jevBlhHiiL8mDzplsTW/NsJHRn6mQuYflO5siewjHYc433Eo8qbx9/NwC4YLdQoJwDYyLmYlfkBSTKpZekg2Xeypvu6FDUV6pWoVJNUttRmOL5oC2gk6V7k/9AIN+IzHjTJMxMwXzXIsxK1nrZJtm23F7egdNR7+NeU7NzndcPrsxust5mHv6eqV4l/g0bGrdfG3LiO8k5bPfYgAIJATRBzOFsISyhXGEc0SwRTJHkaPR6O8x72OfUAfizsRXJKQleidpJXMlz6YMp55OK0mPznDIVMpiz1rY+mRbT/ax7cU5yTv8cq13ysC98UVed/7+grRCz91aRbxFP4rHS7r31Jfu2Bu+z7PMslytQqSSXDlbNVbdWVO7P/uA30GTWvE6fN30odH664cvNrQcaThafWzP8Z0n0hqjT/o2OZ7Sa5ZpYWtZPv36zN2zXXC/OnShvLW4raC9oGP3xdJLVZ31lxu7Krq3X4nu2dRr12dwVa1f/prMgMx1+Ruqg/o3rYecbzncNr+jO6x0V/Ie/32mB8iDuZFXoyMP+8cuPDryeM+ThKeu42rPOJ/NP38wce5F6cvYScdXClPMU59e33nT8rZoOvKd9XvJ9z8/3P/Y8In6WW8GN3P9S96s5Rxhrvvrpq8z84nzPxf2fVP+Nv794CJ1yfOH+3LISuHP7t/5F0NOo54YK3YW540n4zsIVKIaCUe6TldCDqA3Z1BiFGMSYGZjYWLlYRNiV+Gw46RyHeS+x4vw6fEHCZQK9qz7KMwnYiwaLlYq3i7xXApIi8gYyHrLUddvly/bcFyhQ3FQ6YnyR5UVNXp1fg1pTQ0tM20HnY26jnp2+pYGBobKRiLGDMZfTR6ZXjSrMk+2cLVUtCJbjVu32GTbutnJ2xPsXzp0Ox7cmOnk62zsIuaKc33l1ude65Hu6eGl4s3o/cbnyqbKzdFbzH0FfGco/X5V/qEBGoGEwJGghuD4EJNQ9tDJsPPhuREekTKRy1HXowtiLGNxsVeo6XHqcV/iGxP8E/kT7yXlJxsmL6Q0pVLSuNPupO/KMM5YybyUlbJVa+vSts7szO1GOVhO346tuVq5cztP7QrJk8ibzD9cEFAoUzizu6NoR7FTiXDJxz0X4Rpy2Me971nZ4fLgCpmKd5WNVaHV0tVvak7sLzgQfdCpVrWOs27u0HB94+FtDS5HJI8sHL16rOR40Am3xo0nbZvMTxk0q7fInhY4Qz6zcPbZub7zRy7saI1uS24v6mi42HnpQeenLlK32BX9Hq/epL69V0/3D117f533hvVgFnyCzd5WuZM83HeP837kgxujsg+LxhYeBz75MF74XGPi08u2V5Wv9709/27lY+6M/VzUwtcfvLT8/+q90Z4JBHUASvsAcF0AwHkbAAXXAJCCvT1uMgCOjAC4aAH0hQVA96UC5JDF3+cHAp8iBFh1sgBuWA3LAFVYa9oCL1hhJoNdoAIcAx1gEIyDGQQPK0YFWCf6IHFIIdKAdCFjyBzKhMqiFmgAug2tRS+jT9FlTBDTx3yx7dgx7CY2g+PE6cLarQB3DvcUT8Ar4Tfh8/Ct+CkCJ+yYJBEaCeNENqIFMZPYSvxMkiUFkupJE3RCdL509XRTZBlyFLmdnkTvRd/MgDF4M5xnZGaMYLzJtJ6pmOkrszfzVRYFlhpWOtZU1i9soWyv2P3YJzmCOT5yJsGKpZRbjLuVx5Znkjedj4+vlz9KQEhgRLB0nZuQiNCc8JBIo2iRWIK4r4S+5DopRGpKelDmtGyFXOb6QLgLqioIKOIVF5SBCoMqn5qMuo6GvSZFK0l7t84R3W69J/qLhoxGosb6JltM88w6zGctlaySrHtsWewo9hccsY2GThnOl1yW3HTct3pc9+LyDvO5tll2SzmF3m9nABKYEbQYkhg6Fx4b8TEqNHoqlkIdj/dKeJgUkCKQOpJenGm9Fdt2eXvijg25r3cdyHcrZN49WFy3J30vpWxjhUOVb03hgZE6vfrBI4nHWRtTm163uJy5dl63taND99JAl9eV+b6lAcVBqaGZO8fvhYxYjaU99XjBN5U63fXxyBe2ue8LMd9zlix+3F1h/Sm/yrW2f9C600TY32OH/UpJoAT0YA/GC3bb0kAhOABaQC8YBe9hz4AH5t4CdgdSkTLkNDKETKNEVAI1g5nPQY+g19C3sLJXwFywVKwO1vCfcTyw3xSJq8T142bxwngHfBb+NP4lrMVtCNsIbYQZogzRn1hLfEriJ3mTDpCe04nThdKdplskm5CLyBP06vRF9G9hfXyIEWH0Z7zOpMBUyYxjjmV+weLMMsCqx9rGpsJ2ll2FvY1Dj2OA05lzkiuBm8xdz6PH85g3hU8A5jtcgEfghmDWOq11i0JdwnkiXqKKYgxiH8WHJc5JVkllS0fKeMlayWmtl5Vft4FNgaQIFFeU6VUEVDeomah7acRrFms1ad/U+aDHoq9u4GOYbFRl3GUybcZr7mBRYDlkzWrjY3vCbtHB1nHvxhFnHhdv1zq31x4bPFO9Bn2ENqVufuxrRGn2Fw7YF0QXnBnyJcwv/F6kQVRjDFtsCvV5vFlCYxJ7clOqedrLjIwsnq2ns823j+0Izp3dlZaPFuzcTV90qMR+z+re82URFTKV76pb9qccNK/jOfTx8LUjh48VnCg+WX6qvuXsmf5z4xe+t3Nf1Ozc1LXjSnPvk37GAfMbO2+O3FYaPnhfYKRpzPEJOt43Uf1K663q+1uflr/0ftVbyPxetlS4HPlT73f+8YAedpyEwQagDztM/iAFFIOjoAs8BLMIEyKLWCJByA54v19FXqF4VBq1RmPQCrQbZpwdM8Aisf3YLWwVp4ILwdXhHuE58BvxJfj7BG7CJkID4RNRC3ZVHpAkSMmkIToxujS6EbIyeR95kZ5CP8Sgw9DMKMF4iEmE6SizIvNlFnuWSdZ0tnVsfeyhHCwc7ZwULnquNu4AHg6eAd4MPg2+Bf4OgSxBS9gjeCN0WbhCJF7UTUxXXEKCW5JJiiRNkCHIkuVY1vPKS2xQUTBT9FDaodyjiqlZq1doTGuZaNfrEvXi9CcNvY0emNib3jA3sei20rZut9W063QwdXzmlO0i43rfPcNT0uu2D3Uzx5bzFGe/+YCDQXYhuNC+8MLITdGasbxxaPxM4svk/FTltImMvVl221iyn+acyy3btS0/qTCxaEsJfk/TXo8yUvnlypRqvf3kAy9qew+dOnz4SP2xnSdkGm82RTWztbSd2XQOd76p1bUddJy85HmZruvSleheib7+fr9rP69XDirdHLjlefvtcPzd5ftZD36Opj/89ij68eunPuN3n5tNNL1EJ61fFU8Nv6F/azod967ufc+HZx+/fFqdATM/v3ycfTZ36WvFfNiC8sLSt/Pfgxf5FnuWtiyt/KhZFltuWlFbufxT+eeRVZ7VQlr+44JUlGlPD4AwGMP247PV1TlJAIilAKzsWV39Ub+6unIYFhtPAbgS8ev/HJoy7X+i/bM0NCg7spX2/e/j/wBUu75v4GLYuQAAAZ1pVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6ZXhpZj0iaHR0cDovL25zLmFkb2JlLmNvbS9leGlmLzEuMC8iPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+NzI5PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjEzNzwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgrqgWHtAABAAElEQVR4Ae29D3RTx5k3fGntYJPIYBM71DRxKISFFIsEh4W2gVamTfH2NOJtzZdurezC5ovMmz0nVTZdqNjEb2u2sKK7BeXk9Aj6ds2+2OzbFduD6JuIbmKcmDTYh8iJ5TT2B3aQQ+wWOciJlCCB9Ebf/Ln/JN0/cyVdS4a559iaO/eZmd/zm+fOPHfu3Jk5yWSSoQdlgDJAGaAMUAYoA5SBAjHwmQKVS4ulDFAGKAOUAcoAZYAyABmgvgi1A8oAZYAyQBmgDFAGCskA9UUKyT4tmzJAGaAMUAYoA5QB6otQG6AMUAYoA5QBygBloJAMzEpf5He/+92nn35aSNoIygYIAU4CwaIW8fv9ExMTRQ2RANy5c+euXLlCIFh0Ii+++GLRYdICaBbhn0VQQQ3MLrQAcCQSee2117TYTiFlu7u7r1+/XkgEGsvu7+8PhUIaExWX+Kz0RX7+85/H4/HiIjIDTSKRADgzomdZxAsvvPD222/PMtAZcH/9618HAoGM6FkQ4XA4ZgFKeYizCP8sggr4nl1oAeBgMNjR0SFvKcV15fnnn7969WpxYVJE8+///u+XLl1SFCn2i7PSFyl2Uik+ygBlgDJAGaAMUAaIGaC+CDFVVJAyQBmgDFAGKAOUAR0YKNEhz+LKMjE97nv7PfDqb8Fdq+rrKlXBaZVXzZBQQFO5iamhl30f1tTcWjpv3rzS+IUzJ3Ztf78zeqi+jLA0XcRiU+MT8aqltQb53BPjQ773PrzO3LJgVUN9ZVFan5oWiZEzL0/eUlkNiJ83L/7BhRPP73p/U+ehbfXyWs/Ilchk/zn/pdD12+5Y0rC2vlrNEjTZ20wooAV/Ye0fUtc/eOlj5o4vfHHtmqVqTDOFpVoT2sISm2lmiamBly/duXlNdeYlPqaw9Aow1KEWSdOhDcbM0QvWXZ11x0MPPRSLxUhgh4fdRmgsFpsF/ti6/MqptMor5Hbt2jWAU0FAfElruX6XGeojOuyeUXGG+Qrv3bv31KlTarlFAz5vuxVCMjr65IXDbhusDbMN/TA2X1heNq9Xnn766TfeeEMtSzItor506hn7aFQt72yvb9y4kSRpwIumlZhsTqcdGYXR1TuhkFCrvSlkpXxJJ/x62D8hVL8bMmy2u7qcNkS1tXtCqfp1olontHoQiy1kdHT0b/7mb5StJeNq3GNlmHaFJiWpE71btmyZnp7OwKMQoQ41qWfT8YMf/OCtt95SwCdc0gJDJ3oFMKIQIwrPmiCpLxL2IQ/EPhoHqsW9dtgROvuCsnpqlZfNCF7Q4ItoL9fnBB2i2WrDR7vHJ6+UIkjViyS+SNgnzK80O31yefo7YG1gnyke8MDKMDn1wp0KgsQXIdQiGYa+iNnCct/u8kxA69LrIOpyJryAS7OzlwUS8oEGHLiFnoBMH6nd3rJWTxf8yaQe9k8ENeozQYe7FxMS7HNCphl7QI4g3ajWBa0+xGJusvBFwn4XIFehSQE3o7YWXq6aMuK1+iLqUEERejYdGnwRchi60ZvBN4zI0RcBT7qWDv9MPd5yGhD6In0O0G4wVjc3YBDwwHaDaZd7YNQqz8GR/iX3RbSXG3aZGHMXp5d0+fmJJfFFkvFoNBrudcDxAtmGI9QLK4OxcaDjHjQ4YvfK1UZ+8ONcSHwRIi1Ae+IH3Y9lOJ/olPIi6XJG3dD36A4J+aCuGnh60n6hdnsTctYa0gM/qAQ97J8EajLcB83Y7OLIHsVjIx3D0m2gflTrgVYnYrHNaPdFJtrRmLZsk5JM6kevRl9EHSogQdemg9wXIYehH72SzUguc1djp/aYtx6cWHm3wvwA2P8U6Bj37OoBj96PfHUpC6BuNTLutlfGYlKQtMpL5ZFNXBblJj7qYb68oiab0vRIU1JWVmZYMF/JDMbP/AZWRvu3ucooeeCbzQDLvq7XJStDD5gqeRJoAXJIXI0xxrWLVfKa0csfTV4G5V1PCIWWzoV1USFEiENZ2Js4ef7DGvEDAIWzf8O9P+mwmw3By6zV1qxGb+zCV0XsCwwVmmptaAtKrEAaGxo5tqvNnxGbElFoejkwBFChaJE0HcQwZpreLH2RyYFTu7eUN7WB/oW59Fb/2LTkrcjVVSF+E+ODL8ByK24VppZV1SyBUa/2B+BP6qFVPjV19mfZlBu5eIphPj8vkYhFYsXSkyszkBjsOQ0kKuYv4OUMi5Ev1flSYHaowAK/2H+KMd4OFo+JRIoF9z0PNgJwTTWtZybZ2/DDoOzydNnYG19n+gQ04YcQCmn/hg3b9p44+uwK3KpE3jkBB1tN6+6pzOSmCKjWgLbQxKbyN33miZbO1Kj0syKgF0EigIqhF0nTQQhj5unNyheJDf3sh0378BsP45WtG61n3o+mW0qhz6NX/gi9amPDIuFxvbzuXjjCevkDiUVstMrnS79syk3EgQ/YsrKqtLyivHzOo7uPjRdLtyjHSvSPF2Ft3Lt8IS9RvrAODcFe/qjYV63jIcNAPNbDdLZUlZZWVJTPWf3okf7xlMuFODGssfa5XQ7XN+6qwh8mjXvRQ8Idt8/LhJONvWXmktcYTfhhyUVg/2AV0URs6nibHbSCJrtttdDICNQUD9UkaIuEWERf4uSPNvbY3H1daOKTwGhKqDjoJYKKcRdJ00EIY+bpzcoXKas/cDreZYEMd/y6P5kc3FYvdS+mWM6Mn5SiEpfUVAkll9Qskhm3BjJa5YVscwtpLzdy8S1QpN3tj8bDvU5L576Wu9ftGS+6kakUWuaiszpRbZQYKtEoFUt8inTxnkTeOgUcXLs/FI1O9Fr8ndvX3737VMHdkbJ1za07W5vr0MP6+MmD+yCBxv/2tWUSRGq3N4lM8hylBT8cFimw/Y8ca62oqCgtr9l6EA4M/3Pbw8LYq5iZ4qCaFG0REIvJiwz8ynyY6W5vvv26xEOjQHAR0EsKFYIukqaDGMaM05uVLwKIjfm9cAjN0nC39G0IyS++oxR3icTAtMoTZ6wiqFbuNcbc0dZcX1Zi2PDkc04w1uNve6ZzRCXTIrh8TYyhFBu7OGoWhK9dYVy/bquvLCur3fAL9BnFvqZnhopnXCo29Iz5IODR7OrYXIuHSdRZVbM39RzyJkGEv8D2fzVy1dzuDgQnup3wgayhvHUgQkrAzFOtBW2BiUUkTu5r2GFy+RoNzNWU9oKI4ZmlVxvUImk6coGhK71Z+iKRC+eQK9J0T9G6InjkP3xNNF4QGXoNvlgKS1q1VnnJTLKI1F6uYc0TyRPbOOINy9cDZ4TxD54XaZoFDn2T4FYlFhcwxgJ+/JZvVr2iMTzhS7aykwWY8juXo9dM/ouXBb305VEl98iRx43wxjQ5f9m6RlpWu71J56NLLAF+him4/a9pPXri2ea66tpG/CTAHD7wW6kngeKgmhRtERALbGrkyK59THsnsl7c8xkq5jOJoT17jqf7e4WmVwNUeLMUSdNBDGPG6c3SF7nQA5c0sDat4XpESHZRHeULPwf7iZ7TF0UmfB2FV9fOz4SqVT4zh+xisipX/Lyb+PgKHCheWHWbODY7MLqlAjN1YG283n9RKCKO/ZMlt5cLccUfKhGxnIiG4CwYZuEtRTHEkzi9/9HtwBMx2odffFJuocqs7G1mqoUIP4IiqgNmZu0/NnnmVP+0wEflg4/AD2k6X307c2is8FRrQVtgYlHxianTj0ALPv6r/Xt279594H/B26tz+7LGBmOb7+O0m6yw9GqCipRjiqTpIIQx8/Rm54tMn0PTx7/xlWWY5SL8X1L3QDPs/jwjQb6VCJ1HT+JfWVuXCVirfGYO2cVoLDd2cnfjnNVPicaEI5MXYMniT1SyQ6JnqhLj1+EXvJ4/vMtXxuWLaJqFzVQn7ln0BJFj3rGx441z5jx1bIjPJ/rB+yhcUWMovA79h/520y4PY3KM9u9FAzeTxw+dFPWaLGqN9sbrqnuADH9h7T92/PHFG5v+NSQeBcMe9dXr+DFSTFOhqdaEtrDEsrRNDL3X7HA6nS1zmbkLFi2YVwHjjWbb5hZH19MPpT33FpZeTVCLpOnQBKMA9EquOqISGUTrVhkdo4Fus8nJLfujkiiPlwnXOsPrGZtd7IpPUbSKHxi+5gDHR7u7HI4Of5Bdr1JNXpsG5GudqZQbGu5yOjq8fogy3AefwsDqsdzy6dHhLhRh9Oqz/CfRWmeIGD9cChZMU+BW2RfDhsjx0ukWDni4A2ni6ONqQxu72qSJ1jpT0wIvIMaYXNyyVtEuK/R2jXavfiuvEi1plYyCKczQDMzO0XA8Ho/Go6FuuNCfdRgi09fOlWsiz/j1tH8CqCGwxhqYJOcT1rMNwdlavNmn2XwyqXJrK3OneDUPaMWGoSexWA/ta50lh9FKzWYXv7LgzFmyxrXOMqEmkyJjmIGmg2StMzUYM0evpGlns+5q2OeE9x862hW3vZAsMvdIQl8E3Gt2CNLkCYAmeQKtwsq4+b1DwnA5Z3AIW6goy2vETe6LKOP04daOMfXBPhCuOAkOawfs8qPAF4RnjM3N364aUaqJk/gi8Wg4ONqNOkP4gWNfIBiNg1W6MbsYNiwm4IG1gXvuiW60bLzVLbTqakhyuU7ii6hqgZd5BtwjdyrajXwvwP2wnjoQdDmgw2O5R7Yg+mfzIP9VXztXrpd849fR/gmgxr02SK/J1hUIA2rD3Q7MvBUvPZ1p88q3tjJ1yldzRwseD0QNoI7EYkW0+iLRoB9t2sEYIdvoHksBjHLNa4stJlyTLyIBFa6mLzSAM9B0kPgiKjBmkF4x1Xw4G1+EHWCAn5Xq1QXy+CQDpL4ISBzsE3+inrJhWHwYXwKL2AulKMgLQkQhDb6IIk68wjd4GvOj+zEe8rWb4eM4exitbp+Oy6iT+CKjbtRCc4jAr8sfToONKIv3uUS1YXHpiDu1ikh8EQIt4n43XpaaVdXqcOszGiWgJ+hywujpUcQ+F7Th3Q90tnMBq1Qo7/j1s38CqGCMaaLLnuL5WezC+u9SNq/YBEkxRhiXO9pkqmHoRyzWSJsvgvb94QwZeH9oMDIVMEtU/lpsMfMafBFJqMlkqjHo3nSQ+CLAfJVasBmkV0w1H87GFwEqBQOBIHwyKMyhwReBAKMT6AhyY+s86Hg4FAyGMtSQlecTkgS0+SIwR7ly4xBlKtvRUBDoFMxUiQSZFhkSX0QmPwnYUMkQwA2xy6TSJZrEF5EpOEOLeBTCnwjiRzWZVHmLJupy1ErT1c6VC9cJvx72Tw4VDqGxNpDWeGRYC8uO3K2tTJ7S1XygTWYahh7EYjW0+SIyqmcCRoL5p1eDLyIDFfSS6e22nk0HmS+CsMrDmDF6JTnLbs5dSXWdxPRPwY0trlBZbW2tJCKw3Fa1xCJtsvKSmeQvUq7cksrq9K8iyiqrayvzV7IuOUnABuWUVcpUhi4Ycs80Q4uSsurZpQHDFJmda66UTPyFtf+SMkN1rUTDAZjOvFWRtnK3tmYqskggj1bCMApLrKp2mZZQcHrlMWcYQ5E0HfIwCktvdt/RyPNPr1AGKAOUAcoAZYAyQBnQwgD1RbSwRWUpA5QBygBlgDJAGcg3A9QXyTejND/KAGWAMkAZoAxQBrQwQH0RLWxRWcoAZYAyQBmgDFAG8s0A9UXyzSjNjzJAGaAMUAYoA5QBLQzMAV/XpMk/9dRTb775ZlpkUZ1+/PHHt95665w5c4oKVRoYQOwnn3xy2223pcXPrtNYLPbZz362dHbuqctTHY1GgQol4p0Y+GvFHYhEIgaD5CcbxY2bQzeL8M8iqIDd2YUWAP70009BYzJv3jzONIr6FzTdAGqRdzFiBmdpE/ejH/1o8+bNrCKSX/oWeaTG9UUKo4329UUKg1O51BzWF1HOeEav5rC+yIzizCyMfBmJzLTFEDOL8M8iqKBmZxdaADgv64vMmEnnY32RGQMLC9KwvsiM4tJQGH1HI3YuaZgyQBmgDFAGKAOUgZlmYGZ8kcT4yBi/QatYxcjk2HhEHEHDlAHKAGWAMkAZoAzcXAxkt+4qy1Fkeip0+U9j531vBBb99yc3y7zWjhx/qmLrQXsgvjdzd/jg6/uXbb3gDby4uS5tR+g8VUNksv+c/1Lo+m13LGlYW18tUUhifMj33ofXmVsWrGqor5TiIzE97nv7vesMs+CuVfV1Oi13GhsfmahatjRl8/lEZMT/1vl3LzO33bHceN8K6aUeIVGJqYGXL925eU368qwiEhOTIz7/+UvXmaolX6yvX6ogKUqkMRibGp+IVy0V4UxMDb3s+7Cm5tZS8Pa1NH7hzIld29/vjB6q5ypiemyg/w/vhq7fsuL+DWuWqnOrVV6jBlBcQgtgAP2Dlz5m7vjCF9euWcphF/LOTCJcw6HE9MDZ/ncvhW5ZtGLDxjWSZpaeRPO5lAkx6ubNAlQyoanntjxe8fSeDdWlcQFVPM4sXLmiVuqOEYQ0hSKTI2/5z1+GPC+/z7gi5V5AGanzDCZSqGWiCZKCcGRq7NzZ/vdA21J116oH1opvT1WzF2WbGDnz8uQtldXg/pg3L/7BhRPP73p/U+ehbfUimZyCJGAUdEkvm7hRSk+o5VwZs/LV1HJ0pxcXp0xgdj0IQaueqqu2s8jYwLl+/3vXb7ntrqWr1q5bIe6+tTaz+bnpNLzPSReN9zq5rc6s7rSNGTjZKNo3DTgiXETG73AXyMTUrWWTMcL5IgEv2gzWZHM60X69jDFlbzyIJOy2wX3mzDb0w9i4He0FlOFhN9qJzmJDW2LZukQb6QlSEiHC+SLRUMDb0Y622zWinXjZrIK+LrzPo93ptKGQydYhQ1LcAyhs75MAgaOiow5UgM3hxBt7Ga0umazS8yCbLxIN+LztVliGsOkxygnvmS6+R+yeUa6MsBfpbXF2YQKsHT7ukuSvVnkhE7L5ItJa+N3QeMx2V5cTbwFo7Z7gd+aVTiIUjELRUS+i39Ll6UABqy+UJiJ7SjItQM6ESMybK1jRhKI+BFtcjShs7uCJ4PJJ/yXBj9IEu7CVW+xOB+bZ1NHHb55IxDPYhk4xk3RsaefEUEG6YJcd3pMWh9uNby3GOixq4hTNPrVYCW7t/FbiqaIpZ+Ro1cCo6CIuVUujJE4Hw5rmiyhjVr6aUnC29GqZL6JCYLY9iOItmaIkPNE0X4SrR4vb28XuNI330YQ5aW1mc7rpYIHckd3eeFxqsDMyuhXt3oAQJQr50BaiHgVPBAqHUQutYe91Il9kwgu7EGcv20SEfMhvMnoCQvvpR/Bw7xgPeKDPYXKmbNoW9qGqso/CXOJetIm1sy9FRKRuSpDMFwk7UauO/pl5Tyg+4YVgjHZuP3rg9kEgRrtX1OKxxeGdoM1O2Y68G3WmvZz34etATNg8AhEpwFNOSHyRsA/5fFiHVBg+J+jFzFYbPto9PoE6nwt2cBbW/4h7kDfY3s13PykwwIlWeXF6El9EWgu0CafR0YtzC/bh6rJjc5dOIi4YhMN9rP+BtmYEZgZ5MrbL6pmanKDLkTYhkI26eXNlKZtQdNSN6tZotdnhYbO3I7/B0afuUhHgByDYO8vuGcaI4hO96L4zepHREvGslgmnq+wvGVSQPOpGN5CV3d876IBuSYovomD26cWHoZ9ntrC3SLvLw92m6YJp58Roweb1svcgiS58uZoaJT4VH9DkiyhiVtaILxAFsqWX2BdRM4ZsexDlWzJVSXhG7otEh7vQ7WzFG7+HemHrbe1ibz2NzazKnZuJUyEmR19kAu2hbvQKXYxQVnQU6mxqZ9tx4QK4A4a7zNYuft/c6HAHkDRKSYpT8WESXwRv2dwtai2RfQNng+uzQ71ouMHGPaez3aHdK3QTfbiZ4X1G3JEwRB0JmS+SjIaj4YluhETwRTDUFPcihGUsvnQPAlcB8Lo4vXiacADvBG3vFqLZ3tEsHoYRrqaGSHyRZBx8UBbuRV5pKoywy8SYuziCxTmHelEPbRbUYd2vdilTSia1yovLSiZJfBFpLcJ9sGrMLs6ORvEzO7tPvKziQvF9sCcAtSMMp3WjR+r2bmlFhZQoRNLlSJoQYEzVvLmyVEwo3AdaKwvvKINU0WEXaL6Qg87lIfNLgj+JOgxAkriI3nZMPOKNgGf1TGQQ8tFEUMGQCGq7Ux9a4tGURwR5s+cL4wJhP/BuLWw/wEWS/BKiBb6w7D1IpIuARUujJKTiQ1p8ESXMyhrxxeFA1vQS+iKqxpBtD6JyS6apCU6JfZGgA43zO3qF9gfcXmyGWptZ1Ts3E6h8TG5zVyf9x/3AiWgxSkw/iP2f/S3g2jM7NoC2WHzExk7+xcqW8BeFF1RlK74LHpL9bf/j9JRYMKfwR5OXQfrrCSGT0rnwjVgFFzF+5jc90FX69lI2puSBbzaD4L6u17lptuOeXVDkka9yInWrke/V9or0TFwuay2/ZYYyQ9WCxalJMNQwhwNeNFQjmQh4Sy8+Ro7tagNVoHBEr0IioiKJ0nn41WCpKC6nYElZWZlhwXzxC0ecX+KjHubLK2oyM49cfBOOD5ialvCTL6oWw3vEf/zsuKjOuJRa5bl0Wn4ltTDc+5MOu9kQvMzWRc1q5EOFryKQkklSypx+6wRUtPHBz/PR1cthTR7/7VkJPXkhLQFJEyIwb7YMVRMqX97k7v7xGqF6p55bucPobF2ar6kirCGGxaZdfSdkKXztKkSpzjPDqGbCqpvjT+ylw7tAFvadzaI2r6QshQpZs88sO3E1xhjXQlX1OhTAkOgiwCJvlIQ0WYYUMIMcla+mFKkzvaoEZtmDqN6SKUpqOYmNvLQL9hf2RzYI9gtuL5yH5mY2rzddTr7I+Bu9QC9T85dqGWZ6rP/I/j37D52cxK321Ct7DoNrj90vqAznlZ06srt8mRn08MxH7w4M8d2O4atbwLhnz3P/3q+FWCXZex5sBJebalrPTLJt/ofBCVGCxGDPaXBaMX8BH2lYjHrNzpcCSIXE+OAL8FrFrXx/yVTVLIFRr/YH4I9+x1yYdc+uHx4bYL2z2OhQJ4xruFPoEgDpZ55oQdHwksxhWNIEnjAPbnr00BmWiMgUJkLc9Mskzi06cvEUw3x+XiIRi8TYvpzLsBRpWMEIbXj8KkLlD1yR+rBKqzxXTs6/hg3b9p44+uwKbAORd5BrYVp3TyVZziVzWedXpGgYKugfDEjpSZarupS6ebN5EJhQSWV9cyPnjjPM1GkX6I33mKHrmKejFBl1j73t2BRro7GBs9Cw1y+/k7iIvGSiVlrsHS/EZVxVEwezrs+c6R8ay3h+UjD7jOwv9p9ijLcnEolIJO0OyRDNLkIBDIku4kIJGyVxkuzCCphBhspXU0vUl141ArPsQQhuyVQtNZxdeBVOXTBaVzFTY9B8B4amxHanuZnN502Xiy8C2jvYWT/yrRVDx1qrlq3fvqtt1w5z5+A0iBw/+zvopphWidvskd/+rGn7PszcleNbt+/v4R/XFzesAfGeE2/lq4E2rLH2uV0O1zfuqsLdwLi3DbpAd9yOF/6L/vEi9A/vXb4Q4wH/yxfWofb18keol45e+SOUMDYsErr/8rp74dDx5Q/Q4xqfMt+BlQ9tRUh6WhpqVj+659jxQ4+vbAGFtHu+D9w+7kic/NHGHpu7D07+VTgq/7qjz+VwmO+7iyXi7MuQCOaO+eUKqfJxKREHBbWsrCotrygvn/Po7mPjvN1jPyj8ER/BlM5brFCmVnmFrLK6BJa5TMSmjrfZwSiHyW5bLZiESnbX0PXYJyJF0fgcw8zF1aGSPsvL6uaNMiY0ITGI8QOb2sBLK1PmR3FiKU3hspUtaCZWz8GWmtLVuw8dO7Ln8Rb4JNP+2NdE9q6cZ14yUS4C9IMXzkFXhPG3NNz9nQOes7+xG5fVrG49xD3voPQKZp+RfzzWw3S2VJWWVlSUz1n96JH+8QyR3CLkwRDpIiqcrFESJcg6KI8ZZql8NbVQXelVJTCrHiSLWzJVZ6WziA+50v7DLXfXfMdz9hV7g7GmfPWhM5NsIq3NbH5vOvnXN2pX4vjducXRbgHversDATz90Ik+EsBTYMyu9EkMcTSJhMmcgR9E8yGM7dKTYFOxkMwXSU2RBOAQ3exsOG7CLOMSv6PmJlLgODx7CDS7/LwWkKfES9O0krhTwvkiUDyKZ8imvC8PegCraYdFmMkCFPC5wOXucHIUzcBNnajBgZD4ZWc8GMUzSCTE2Cii+SJI1u+CgMUwMEK72x+Nh/HcWzAnCM9jZufBge+n+LeWeL4Iw2D7SUOkVT4tOdF8ERktQDT61EuoC2GOi3wSDgA7t8vYLszX8aL5Iowpxa44+fRf0mkB6SaE54MrmTcoKQsTCnjgRGjxnKp0xKnnpPiTE5nmbhbN3AK5ZhpYalHgTD2TjCRCBAlUtk0ATyhchfqQ2TM2Dz9jRMHshcLYEJwYAWak+0PRKDtdF3BL0gSSrruqAIZElzTAqo1Smrz4lHy+iAJmkKHyVXGJQDZreknmi6gSmEUPgrXT3qoTzhdhmwXg5rMfCYT68H2Hvy/JqpnN6aYT11f24yKJ8TcPwva5c1cb0xc60VhX2ncQjCMYaxfix2305IifCoVmnBl+GY4RWbY0CO898FUDmjPh9/0pXwMjokKZ2NAzZgjW7OrYnLogQgpAgl1X8CCWOG89wompM8+Y4QOYpb3D3YFm8QFmmc7Fjx6Bg07wmNzXsMPk8jUamKspOuCrsv+HjvwY1Zq5ww7fYel8XANOZ1tzfVmJYcOTzzlBs+tve6ZzBBRaUru5AzbiPZueOYYqfHJ/UxMchZI5tMrLZJNl9NXIVXO7OxCc6EZfMzWUtw6QWmnJZvthoKe/bdORIZhm8sz+pn1oWIp9d5MlJMJkKaaRbt7aTSgxctAMxjUtf0k+XEEENNF/6CfQ3I2WDndXuxUOPQJz9zQtPjTA2bt6PnnJRL0YJGE+bGNvnzV//RScQXTw2Rf5F86MrNln5n7tCuP6dVt9ZVlZ7YZfoK+09jU9MyQMomWm0BqjCkZZF6E4gkZJEM4tpIxZ+WpKyfrTC4ojJRAjU+xBtN+SKeqSnpic/9yIBxwr1+1E3zOaD76Y0N4sg0GqfNy5LOzsfZHx/t/jPFzDv1xXCdZUeh29fWm8fzFwMyIjr6GxzHRyIq+jMaJN6+9Jv8Kdl3KB/P1GjjxuhGhMzl+2ruGzxc10LA6qgD1iAT+cZ8gweKSK/QlfEySYyNBrUCSMxHT7l3jxmY1giBp8kHz02W3N2549nYTjCrCr7tzuHYEN1ciRXfuY9k6kDjZuQ8V8JjG0Z89xhV4yMnTEuB0y4ej9pWgqol56GNY8kTyxjXM6DcvXwz7GP3ge87mmtcPvcRgPt1TMaVw9ZzGaUaWERKu8Ul4ar61pPXri2ea66tpG7FExhw/8FnpURIdh3dGQ32ExbjdWNDauXrwRzLVAR5gR2RVRTpqEVM07CxMa+Y8DwJE1tm/nl6rTBElOODF+Yv0OaO+9Lx/d1vz9Zw+dDge6kbkzOw54CfvlvGQihzA93iiatlW2pAk6I8I8J2WzT83K8IQv2crORWLK71yO3sz6L17Om2mog1HURYRWvVESCecUVMasfDW1YN3phcUpEMi+8iDtQbK4JVP1JT1bv3wRL3r3WuRVc9PXNDWz+b3psvZFYv1e+IANhvrxvTR+DrkmNvwe2VD/oIXXVghE3vHCrty6fhnXQwnXWCeE9QOE+BxDidP7H4X9L1ir48UnRfNowcwPeOO/3n9RKCCOG/Alt6ORnfKFn4MSPacvirr36yi8una+kCr/oeBgH8y0yXQflzc3rsAwH1yNJqZOPwJVOv6r/Xt279594H9hL2VZY4OxzfexrDM3edps3A4yBOup7BRNouaK0OO3RJRp4uMrcDxgYdVtXGxJ/cM7B8FHzaH/fCUcj+OXdIx53ZJKUSpxUKu8OG224djkmVP9omfzygcfgT1P56tvE/aRsODK+p1HB6Ph8H/+5yvxZBx//Gzacp+cntliFadTMe9sTCg28FM4iYN5auuXxSXlHg6ODcNMzFvu4+5PQ10jHiRgJiL8lDLlgvKSiXIR8CpunhaKp1qVoDmd4qScgcO4TLMXSzIlItlENATvZGbhLbL3cEpashNRAWlgiHThC1FplHi5fATkMcPcla+mlK8vvWoEaupBsrklU3QlOsE93IJKYapgKX6WreCnr2loZvN702Xri8Qu4Pnke1o3Ig5ib74EXRPH9zZgS4lfQ5323JS7KnKhH7ki31omNieUPhGamAAB05e/QDwrEKVT+dd/6G837fIwJsdo/170+DF5/NBJ1LWUGL8Ov+D1/OFdvlO5fHEcZse6U0xJ3QPN0BnxjAR5kdB5qADzlbV18EevI862v6l+Gd/kTQy91+xwOp0tc5m5CxYtmFcBcRjNts0tjq6nH8r08uDl6f5HF28CvkC7d3Tvw/CbiKn+48eHRJ0sFMrjETu5u3HO6qdE7zIikxdg/uyHS4npof6BSWgjZYbKykpDSfTS29BVMW+5V7KL1ioPi8r9iB1/fPHGpn8NiR9T8d189Xpq5ciWNT021D8Ep4aVGaCiJUz0nVPQhh4x3SubJg8XVMw7CxMa+Lf2TgDM6PgW9xyfB5goi/h1bO+YWTbXRErLoV5UXjJRLaZ8EZrenvJ8Egle5NOpmT0vCLYaGDveOGfOU8eG+LjoB++jcEVN5ur3vJCGgAoYNV3SSlJplNKksz1Vxqx8NaVM/ellVAnU1INkcUumKEx0IvGIEpkKwqR4+F9jM5vnm048eYQ8HPV3QAVM3BpQeEEtxuoPDdsYuIjWhLcdCljd3CoqMO9etHRYe/coeDRMW7QRz9khnNBHNnc1ys6XNDtHwWM3WI4oGuqGALgVEtl1WvhFnNh5PWJgeLFhfgZu1O9CWju5la+UCNM0dxU+azMWvBAemMvahc7F80C5pauYDm4pVr7sYTx31SVaMCk03OV0dHj9eD4dt4ol4+wGy46BhW3ioVEvIMIiuQoZny8KaJi7ihf1cqHFqdhZwGAiKjvxl1vsj507zK7iLMyfDcLZJMBV4ueypqqgLp8KO+1Mw9xVsRbJEJz7Bpb5Eow4hHGasZqoGH9KErAsm4h8dglqo6AWXrnV6BBPQ05DKz4lmVAJ5dmCeBOCc/ywUXE1IGHefEGqJsSbn5XAZvhsQYAEP17qEPihHFSYAV4kCtgoz70Sz3D5NdQiqWUixpYWJoEKaheZBNM1zM1oZ8fzUDOiZvZi28Cz4EUtXrTLCh99JNdWToMKTtXRqoJR1gWUIbZkjY1SJmCiuavKmJWvpgLOkV6SuasqxoAoUOtB4qPdXQ5Hhz/IT31mmZO4JTM5FcUQrnUW9jlhO2sVbituUUH4lYl6M5tiEnm46UQaJLNcdxXPabewqyAn2VWijWaLEYxBoI1RuO9iRG0uexuDWWng6UoUD/Hg9ar5lWjFEDPDJL4IRgh5TztEM97xRwH45p/odkDBVOcpGR+1w1gTmmY8gVwpxk2yXUQySeaLxKPhIJ4RCYqxd/WFwrDt5VbdZhxeuGhpPOhjv71o706z2WjQjz6HZIy2rgBKC+R9uMNkTHBlVXYRYqhG2uFWWZsfEk/ii0AdRrvZd3Ime18gCD6cwU02Xic7GuhG/SJjc7MO03AXFsff0US9aHqu0S4sS5+iAvySRUUeYpU/SHwRKS3iXhvkzAS5BcSHux0YhtWPeiKpJKnkx4dZ3OizC7AxDfK4UjYikEcNr6h3OcC5lDIhkFbdvFHZ6iYEjQg1YYypl8QNR9nifwT4gWAUf4IHZkiNQmKjeA8gQDzepkqdZ1iYSiZQRPEgg5oM48cwBu/PEEIPAgzXEqqYvdiqua8wrMgDi3YjjxaMymY8a0iDJkCrAgbkq6hLqiVraZQkERP5IvjLF9AMo54lo91Q0SiP9JL5IioEQh6Ue5CwDzUI6dt4Sd6SkqzykYS+CKhzvAQEbopD6GNMwDd+DFZtZsUMo6Jzvel4/CCQnS/CIuji7hu+7zQ7vPxzTDfqJLuEnpv7oMjUzj9UcFDwY3HKgxF3SeKXwBcJ4zYirfcFpzZ+QXeYcbzPJVqcw+JK85CgSLBPJMFk7K4HRSQPIl+EfXgVwTR34AeuaKDXnrKclMnhFj2f4yLRbilCYu4zUbz+PR5o4ZobQYoL4U12JLELkSS+yCja/5DLFv66/OF4yNcuxm+0un0iduMTHXgvNDaZsb2jl7ccULxYBYhGTV5ALBUi8UUktQDlduHtBDn1LHZ2/XdQjmSSNOQTfR24ucEZGC3tvaIdkaTApsSpdznyJkRk3gQmBADhjpP/kDUFouKJOn42ebi3A7n9HM8mq8PH7UFIwjPKRikTRZjwIjHUJLe1GIvV3uXjnxCUzT7VNuJ+N1rGmVPZ6nATbkZDiFYZDCZEQZdUtFCcqFHC+Wb8J/NFksqYla+mAs6JXkJfBGipQCDLgUIPwr5P4H1ZlELmlsxgNCWC2BcBqbjd7LDhme0+flRGrZlNZRgDyOmmE+uQnS8izoENR0NB/EwvXAt2wzFH0ThEPBwMTPB6C4IhNHDNvwoRLsiECHwRmZRS0VEwVSU4Af6kLuK4KLgMJbCbIC8nvkLki4gTSIUBq6jgEN/YSUllxsVDQVAdGhNlZkM2LiKVjo3D+IMyxIFpq/LaSaigKK+Agmw/GvkM4HM5rv/UfUdkUmQiZ6sxixoh7yBlwCQJzFsyaZoWUcCA2FmUTJMZqQ1/HJYCDjKi0hByhWvLhEulxReBaeLhiUAAQpUiRd7sMzCzaIPcmKaARzlETqw8GK4EWV0y0KIUrDUHtTVKhL4IxqSMWf5qBuBs6SX3RSBgWQKxNuC/bA8SD8OmOveWWosvAlGBFi0ADDgoMc6p2MxmMIxVzPamw6nx/4xJpJyTrvW3rLI6fdZkdeNJr/3uJnNna3Qbmu9WYqiuk5iaOvaz9T8AS3+IP7jVWnou8mWVtbUq6ctqVUVUcsjyMmC1VnIup0p+JZXV3DcJKpL6XlbGD6at1hrk1JNQQVFeR0VKygzVtRKGK1NkJnJlGmSyyVM0gXlLlpSmRVn1DNwCJZpKSUPIaaEtEy6V1t8SQ61UW4azka/vDMz6o5UHw+ksq0sGWpRCPUMu46x/lYuQv5oBWH96oY6yBPIEyPYgJYbKavKmhc8v54BCi6bYzGYwjJHkg+dsv6Mh46Ju816wAOv2lY+LvqdISxk53rpsH3hL+r9bi6LzTENHTykDlAHKAGWAMkAZ0JkBfX0RAH5N6wlfB9NQ8ehIQkKVoefMW/sco9ED+f5OUKIsGkUZoAxQBigDlAHKQBEykLd3NAq6rdl2NPrdWOq22qz4Sqsn/mR+vqZXAEAvUQYoA5QBygBlgDJQtAzMhC8ClC8zpE8mwYyAN/FFSw0FRhmgDFAGKAOUAcrADDCg+zuaGdCBFkEZoAxQBigDlAHKwOxl4LM//vGPZx36SCSydu3az3ym2B2pjz/+GOCcdfSKAcdisbvuuuv2228XR8668NWrV++555758+fPOuThcHj9+vWzDjYPeBbhn0VQAb2zCy0A/Omnn4JPN+vr63nbKOYAaLrvv//+0vStrYsX8ieffLJ8+fKKCrQhSPHCVEI2B9iH0nV6jTJAGaAMUAYoA5QByoCeDBT70IKeutO8KQOUAcoAZYAyQBkoPAPUFyl8HVAElAHKAGWAMkAZuJkZoL7IzVz7VHfKAGWAMkAZoAwUngHqixS+DigCygBlgDJAGaAM3MwMUF/kZq59qjtlgDJAGaAMUAYKzwD1RQpfBxQBZYAyQBmgDFAGbmYGqC9yM9c+1Z0yQBmgDFAGKAOFZ4D6IoWvA4qAMkAZoAxQBigDNzMD1Be5mWuf6k4ZoAxQBigDlIHCM0B9kcLXAUVAGaAMUAYoA5SBm5kB6ovczLVPdacMUAYoA5QBykDhGaC+SOHrgCKgDFAGKAOUAcrAzcwA9UVu5tqnulMGKAOUAcoAZaDwDFBfpPB1QBFQBigDlAHKAGXgZmaA+iI3c+1T3SkDlAHKAGWAMlB4BmalLxKNRgvPHAGCa9euffrppwSCRSEyW1iVIyuRSMTjcbmrxRw/u+wEMDlLTSUWixWzGShg+7//9/9ev35dQaBoL8062xYzCTgHzItjaFg/BmalL7JlyxZg4vqRkq+cd+/e/eabb+YrN73zaWpq0rsIXfN/4YUXnn/+eV2L0Cnzf/iHfxgYGNApcz2ynaWm0tLSEgqF9CBE7zxfffXVf/qnf9K7FD3y/9GPfjQ4OKhHzjOQ589+9rPTp0/PQEG0CMDArPRFaM1RBigDlAHKAGWAMnDDMEB9kRumKqkilAHKAGWAMkAZmJUMlMxK1MSgE1NDL/s+rKm5tXTevHml8QtnTuza/n5n9FB9mUQWmoQl0uchKjI2cK7f/971W267a+mqtetWGOTzTEyP+95+D7xDXnDXqvq6SnlBva5EpsbOne1/L3T9tqq7Vj2wdkWtHNjEyJmXJ2+prAY1MG9e/IMLJ57f9f6mzkPb6vVCppTv1HNbHq94es+G6lLR1BIwzWThyhW1MjdDYnzI996H15lbFqxqqK+UEVIqMz/XtCEvAmNm1Y5MjrzlP3/5Y+aOLyy/z7jCoEZgwQ0b49YIu5iMPDE9cLb/3UuhWxat2LBxDYHFFomFM4wW5MVj4dhgYlPjE/GqpanNoFZj1iqfn6alSHJJzsLjoYceAtPQSID7XeY0nu2eUbmEmoTlMhHH/93f/d0bb7whjlEIB31dJojV4vZ2WRBoq1sWanjYbUTCNiRq6/Ir5Ex46atf/SqhZDIZ7LJDsBaH2+3ADFuH4zKpo770OmDso1EZ4RyiT5w48fOf/1wlAwkwiGtzhwyisNsGmTbb0A9j84VVSsji8tNPP33u3DmVhBqR592YxfCITSXYZcNGbXc6bIhoU0ffhDirtLAehs0X8Z3vfOfKlSv8qXxAM+ykRO3k08i7u7t/8pOfyAMWrkRHveh2s3R5OlDA6gsJV6VC+lq4zWYDc6Gkyk2P04pcVwvH4P7xH//xv/7rv9KBpp9HAz5vuxWSbXT0iS9qNWat8uKyboCw2kMKaj9m7784nOFqttqWzIM6VJke3fHwmmo5dTQJy2WSXXxs5FhNQwvDWP1ozGZT7/udG3cx10WP7uJ8IwNPrNzqBz16fO/Sko5v3tnQ1GJcsjT45DpZ1cSpcw7HjrfWtBxmrB1+NLbxVccpz64e+VyREmaLdcntsBKqVpgee+xhuSEI+VzycyU28a4H5mS02r61sBx8EMKUM31tB3scdrPUSBkzdOSJrQf9wH/d+/DShM3UcLe5wbwkePrJmSFarLNW5AU0Zg524tTur7dA9ob3PrwCRD5h+c72xRu3r29aNOHbLGkBBTZsDFw7bJCuSIw80v+9ZU0exuoLH1pjYP6fQFUpsNivfX5i8NlarlbSfovFwrUjLwILh1xGBp67u2EXZnVJWalAr1Zj1iovlHSjhHLzp4BPbenw6/CoqAiLeFwk7DIx5i7Z0YXUQjQJpyaVOSMeFwk60CiHozfI5xSPyjyoJ5N9DvisKYyaBFD3yrQrPW/y+coHCB92g70OaPsmp4A1GY/KDYokk2G/EwygDMuXm68rJOMi4T4A3iIe24gOuwCXo5L4Q73ood7GGVDcgwZH7N4cmU7XmGRcRBvyZP6NWQyayFTCeDzMLGa7tx0yanZJD+PpZNg8cqJxEe2wQf56GznhuEifEz6dm50Cvd1o/LK9W3Sz8nSAgP4WTjguohm5zhaOSSIaFwEtdTTci4aHzU4fz65WY9Yqzxd0wwRymbsaO7XHvPXgxMq75SYKwD6roEfiox7myytqyDBoEibLkkwqNvLSLj8QtT+yQXjeLimTfFAHYuNoFML0yFeXstnXrW6HrkzbK2MzsHxC7KXD8CHAvrNZwMqUlMmPryWuxhjj2sUs1gL/lC9vcnf/GDwycsfUcyt3GJ2tS6Xwj5/5DRjuMbV/myO65IFvNoOE+7penwGiOYTsrybk4MW7FstPKypPp+wjYlg8uFd9JzSE8LWrUmUU1rA5RJphw4TFYeTTb52AjyWND36eU4apXg4JP/7bswk+ShQoGgvXjLwoLBwzCVrqMsOC+UKbgqK1GrNWeVEt3ijBLH2RyYFTu7eUN7XBoflLb/WPTUuaeqFJilw8xTCfn5dIxCLqqxxpEs6rZhde9YL8jNZVzNRY/5kz/QNDU/J9XWJ88AVYesWtgq9SVbMERr3aH4A/uh6xd7ydoADjqpr42AAEOzQ2pVzgxf5TjPF2sBBZJCKvlXIW+btaUlnf3Mi5FgwzddoFHKs9ZjQqlV5KYrAHLi1QMX8Bf8WwGPm1nS8FZlwVLcjBwLEWy+fVy3OgFDXPPfa2Y1Ns8xAbOAutZ/3yOzOLKrBhC4C0wcbpisPIS+ZWYDiCZx0PR0CUfzAAf9KP4rFwrciLxMLTCeXPtRqzVnm+oBspkJUvEhv62Q+b9uE3A8YrWzdaz7wfLUZSEnHgK7WsrCotrygvn/Po7mPjCl2IJuF8ahvxoe7df7jl7prveM6+Ym8w1pSvPnRmUrKQ6JU/wjEUY8MiwREvr7sXDn1f/kDycVMymywjIxfOwc6E8bc03P2dA56zv7Ebl9Wsbj00Ke+LxmM9TGdLVWlpRUX5nNWPHukfz7Ls/CcbP7CpDbwwMNUJbbeokOgfL0Km712+kI8sX1iH3JbLH4kf9vnLMxdQRg4eGrVYvk6wy1a22CFbPQdbakpX7z507Miex8E0IzDQ9NjXJGYvFNawBQ40wsYJi8TI8fqPsU+EZq50Lm4m5kqZeBFZuEbkxWHhgtGkh7Qas1b59PJuiPOsfJGy+gOn4/hjj45f9yeTg9vqhY6xeGiJXHwLgLG7/dF4uNdp6dzXcve6PeMyvaYmYX10NHVPDO7d+ezpUJ+F8e/YuPikJFY8hrykpkoAUVKziH0gEuJ0DhnbuweP7t154LTPZfEf3rH470/K8frWKeA52f2haHSi1+Lv3L7+7t2nisIdGT95aB8wjx3flrPduYjDOhHTJYZKNALFiKao6Uy0VPaqyIvAmAHuks17vRYWv3/fjpbtbdCPNe98bKkwpCdSrzgMWzNsqEGkOIwcPJNA56/rlSGe1onxCT6cGSgaC9eMvDgsPJNRLkarMWuV58q5kX6z8kUAATE/epi3NNwt2a4UCUXXGHNHW3N9WYlhw5PPOcHYgb/tmc4RGXCahGXyyCHa5PznRvy4WLluJ/oU2XzwRZkOPr2YUtyopEfrd24+bGvEua/566fgfLmDz74o6TkxzLUrjOvXbfWVZWW1G37RB+axMvuanhkSntz0A6mYc2LkoBm4Ipa/lHpGF6dM2WugFLcZ4uszHiZCXmBjRqQk+g/9BHofRkuHu6vdCm4/EGY8TYsPDUwjAfV/M27YAFI2sIvDyEs22w8D58/ftunIEHwnM3lmf9M+9IWb4qNKEVh4FsiLwcLVDVgsodWYtcqLy5qN4Sx9EXas3tJ0TxG7IoY1TyRPbOMAGpavh62hf/C8ZAevSViPml6/fBGf7d1rUU8v+ZYXvx0IXxNpERl6Db4wC/Pp9Q4YG+7kBxPKljRBZ8QfuCL1SpoxPOFLtq5gK6H8zuXwwY3xX7wsgq83Wqn8R/7jwEHQM7Zvl1z1Dqdgx43jAtRYwI/fTBbwFQ0J8oIbMyAwMX5i/Q7wSsbc+/LRbc3ff/bQ6XCg2wLfejE7DnglfNFiMOwsYEOFisbIDeuOhvwOi3G7saKxcfVisC4APsKMYMRsFPwpIgvXiLwYLFxEZEZQqzFrlc8o8AaIyNIXudADp1tam9ZwPX1xUiF+SZr4+Ap8RFhYdZs4VoRbHK0qLEqXcxC3CAsqwXoX7FGKXeIKibe85Qs/B7vzntMXRV3/dRReXTufy0C3X3zPLJwvYGVKlAdlSkS8JqIh1BktvKWw4wuxgZ/CmQvMU1u/LM8UO278ev9FQQatacAwS24X6S9cnYEQEXKAQ0Q6M6PGzHMQHBuGYfOW+7gPrgx1jXhgjJmIZM4vK7Bhc7i1wsbpisjIK+t3Hh2MhsP/+Z+vxJNx/K2pact9lZyCot8is3ANyIEShbdwEZPpQa3GrFU+vbwb4jw7X2T6HPp47BtfWVasJMRO7m6cs/qpAaHDjkxegGDFn0Vw4DUJc4ny9ivRIkSmgjD7lMEPtrySugeaoTPiGQnyz5ah8+hp/Str61gh3X7KF6HJmymeUCQo6qzFJcfGjjfOmfPUsSE+MvrB+yhcUaO6EjifRofAwL+1d4JsjY5vcQM2UoWUGL8Ov+D1/OFdnujLF8ehpE1mtqtULvmNI0BeWGMW1I1fx/4G9rTZ+IS8D1pYw+Zxa4VdVEY+PTbUPwTnvJcZDJWVYPH36DunYNPwiOleXkFRoIgsXAvyYrFwEZPpQa3GrFU+vbwb4jwrX2Tq7V+DIQaj436md0vjc6TvfmeSr8jgv4IXpf6Dr11gnRGwhscPAGbGuAP15GAsduz0sf37jwyBzw3VhXWFXvKV5sdAAZ4/jPB93sjvIVbzIw/Cp5npkWPP7T9yaogbZa3d8gR8KfIfL78D/oMjNnQKTHwAi49tkv4eBAnl6V9J7bon4Jsuz8gE5+VNjZyCYx2WB+9Bj14itO+80AnUOPg/X+dEY95/7QKiRvsOI/+KJ0/ANGQzfeaHO2ADbd31Xe6JHacWmQSKqF37LUj0Yc87rAKRnn+FTDu+t0H8UIYTz8R/EuQFNmaBhjvuXg5PPF7uFoRn518+AX8WG9C4UhrhhTRsiAodWmEXkZHHBrYvM643Np3mvrKf7u/YgRrqb7PfFqQRzhSLhWtCXjQWzpkM+r2G2oi5vK+tasxpdaEqn1LajXmSxaptYZ+T56K9N89rUJLgIVh3Fa47CQ6wTjnIMBrohp0KeKB1c+t/hn3oOt5BQE2YBJOUDPG6q+EuqwAv5HMhsGA9eJipD865BYepj1/eNj5qRzGeAFgudAKtwsq4c97ihWgxTbjEZAfCYx+G8EIdFngGFt/FBIjRhv2sImjlzWg3WhQSVAJKiMXz+Z9k3VVQHme9pt60fTpSTIIFFvBApo12LyS62wFVtbpRteQTOcm6q8TI9TJmscJkphLFy9SCdUBHoelG/W5ktgz4Xgwtc5tJuD6GzSMnWnc1qQ32zBg50bqr8WF0L4KPprsh3aNe1HAYPQHOYDMJTyb1tnCidVe1IZ8JC8c2848E+9HEo+HgaDdmnjHZ+wJBdhFqZWPOrAtled6Ib9wAk4VqUbaPAZ/LDmeRPPckBL5IMh7ytYvXsDJa3T6R2xQfRr0/24mqCGeLmNgXAQVw23HB7g4Midh9QXZZ8lE3ixS7JiyWYB+OxeKufHiEZB0MLJ/bxg8Xzti7fCzWZDIVbdzvRkvCsoKM1eHG3RCrRV5/SH0RZL3gm+T0wlNNgrsa73OJmLa4RDbEieT8S+qLkCHXyZjFWhKbSri3A/sfrAWYrA7fBNc1ShKug2HzyMl8ESCuCfZMGDmRLwLc5b4O/OCC6TZa2nt5RwSoJUl4Ul8LJ/JFNCKfAQvHNkPii4y6bVzzxv66+E1RFIxZsi4U5HkjvnEDc4BqaVQSnCbA9shM1eLqAr31/+Y3v3ny5Mm5c5UnTUI9YtNToWi8tNRQXZ3+ViARmZ6OMZXVwpbaCsIEnEiIgD7m+9//fkNDg8Q1qajI1GToarx0XkVtNXrfwcokpqemmbLKynS2Y5OTISBSaqjNUE4qd7W4r33ta6+88oqaFHc9EZmcCDGlpeVVtZUpE5gz0CZiU8FQHMCsqjakSHJZ5enX4/G8++67Tz31lFp+MUCzobY2E0umSeCsYtOTIfCGLF5aW5v6KIehTQAAHNpJREFUVketJMLrP/zhD7/3ve898MADavIakOfdmMXYNJoKNgCm3FCTZsMyhOfZsHnk3/3ud3/5y19WVVXxMUoB1m7JYOts5KdPn37ttdfa2tqUALPXcM1LwAbXZQgH7aReFg7ux7/6q7+6//77845cVwvHaH/605/++Z//+Te+8Q0C8HIissYsUxey8nIF3DDx2b34Lqmuq5sVFJRVVteKu3URaLBuVVoXriAsSqdj0FBdm+4xwdJKKqslu8Cy2lq8IImOkGSzLjHU1kmBzURbUlZdQJwSCsjiyTQJnLqsskgU0IC84MYsEC9vADKEF9SwedyaYMsL8/nNVECp5mUIB086xWDh2pArSc8U1wTlyBqzTF3IyhOUNbtFspq7OrtVpugpA5QBygBlgDJAGSgiBqgvUkSVQaFQBigDlAHKAGXgJmSA+iI3YaVTlSkDlAHKAGWAMlBEDFBfpIgqg0KhDFAGKAOUAcrATcgA9UVuwkqnKlMGKAOUAcoAZaCIGJD4ptftdl+6dKmIMGZAOXv27Lp16z7zmWJ3pP7whz8sXrx4wYIFGRoUY8Tvf//7r3zlK8WIjAzTn/70p08++WTp0qVk4kUkNbvsBBA3S03l3Llz9913X2kxbLas0fo++OCDK1eu/Nmf/ZnGdIUXf/vtt++888758+cXHop2BOfPnwetd01NjfakRZHi1ltvbW1tLQooBCAkvun9/Oc/X1aWufgCQWYzJQLalGXLln32s5+dqQKzLGd8fByQ+bnPfS7L9DObrK+v75577pnZMvNZGlgpZ3p6ejaqAOwE+KyF/EJbYz3MUlMZHBxcsmRJeXmhNjbUyLJIHPhPiURiNtr2xYsXQRu4aNEikTazJnj58mVwVwKbmTWIU4EWeT+eCjZlt0P20pe+9KU0oWI7ff7555uamkjWOisscrB0GFjojHyts8Ki/Zd/+Zdvf/vbhcWQS+l4rbPZqMKrr74KjIRgrbNc6Mln2llqKkeOHPn6179OutZZPgnLNS+w1hnws2ejbQPkwLDJ1jrLlaW8p/f7/StXrsxtrbO8g7phMyz21xw3LPFUMcoAZYAyQBmgDFAGEAMz44skxkfG+E1oxcxHJsfGuV1cxfE0TBmgDFAGKAOUAcrATcKAxHwRcs0jYLeXy38aO+97I7Dovz+5WXJJcIaJHH+qYutBeyC+N3NP++Dr+5dtveANvLi5Tq8ZKpHJkbf85y9/zNzxheX3GVekb+oC9qwBm+vEq5ZKLr8u4iIyNXbubP97oeu3Vd216oG1K9TkRUnJgonpgbP9714K3bJoxYaNa4RtctjUifEh3+D/d4m57Y4vNqxdWi1H19RzWx6veHrPhurSuFBsPM4sXLmiNqfKFnIDodj4yETVsqWpZEKE7314nbllwaqG+gz8QvrE1MDLl+7cvEZyYXtBDIUSAyd77/yLxur8QccFSFW6lFKRyf5z/kug0u9Y0rC2XpZ1EWq97UQNObkBkEuK1NMclGBVSgWwV4qy/UsXrMWWpHOQiZWALW32iciI/63z714GN+Zy431qzUJicsTnP3/pOlO15Iv19UtJbgEZgPLRkvRKRuI8iDjUpqY8OMUrUiAlK4K0qeFK0yrPpdPyKwUeGPW47+33rjPMgrtW1dfJbEcCS1Fo6GbmPtWiqk6yOWz7F+91cluYWt38Tq2pGUbRLobAEUmNFp0Nd4FMuG3ERfEKQZJ9elFybvNbi93pwLspmjr6+J1WowGft91qBsQaHX0KxcFNdO1w/0uLw+12QHmwc/ywvEZ8VuT79IINvlG+li5PBwpYfeId7UN+uxEUana5u2wwwFidvdLlR30YHxQSH+YObndUHl16gGTz1Wgo4O1oR0UY++BG8PwRdiNkZhsGaPOlXOXFQCDuARXerkw4Kx8PuEHlpBYkziolTLZPr0SlyykV8DoghSab04k3mzWq7YecpZ2Q7dNLhpzcAMglU2iGJ9maioQKOG8V+88AwEVosCWQhGSfXkljkIwEGfIbVtudThvaIddk65DdiTo6ihsPm8NpR3vMG60uWWFOQ/xLtk+vJL2SkeLc1TnUpqY472SSbJ9eCZBynINdlImbGgxFq7ygAMk+vcmkBHi24GE3aq0tNlTdti6/kHVqSKmhy+E+TS2k2M+YHAH60O1l9wYk8/F1wErwKHgiMFkYdb+2YdXekiuDzBeJe1EHbvcM43TxiV7cAnhRAxD2oZ4Gddhmp4/LO/M36kYel7UDW1LQARudvPoi4T7W/0D9dzzggaCM7bzT5HOCIk29rHcSdCFpu5e/LmCOjoLOGya22uzwsNnbURvp6BO7NoK8OETQwYSdKHf0zyz2Nvyoou2eUZAhwA/vQJMzKM6dC4fRxveKhHOirGGkFMRfywyQ+CJSlS6j1IQXKGHmfb6QD1mB0SPehD0FRPZ2QuKLECInNwByyRQt0Ul2piKlAspOzf4zAeAYLbYEUxD4IpLGIBmZjE94oZ0b7VzDBZ7NYANjtHslnxO6oUNr7uW8D18HMiibh6TZI/FFJOmVjBTzqcqhVjXFmYMwiS8iBVKac5AheVODkWiVF+Mn8UWkwKM8wj7U3dhHoTWwnZGzT7pRRD2gdEOXy30q1qX4wzn6IhPt6Hb0SjEcHe0CN5+pvTeThehwl9naxT85R4c74D0sJZmZFsQQ+SJhPEKQUsG97dCPMLuQVxGPRqPhXuRLKXSNwV78cCzuWeNRycYmAyvhuEifEzoXZif2dWAu3WgYpr2bpRX5IoyLGyoJeNAYj6UrsxUL9wG0FrGXEB12Ac8J3Q8Z+FIjCDqYZDQcDU90oydAEbGhXhRjg54IPOIeNDgi5S1hgwHKKjh/OJPkRHc7oAUQI1aHvSb1Q+KLJKUqXVKpUeSBdotcOB+qJpMM8lzshMQXIURObgDkkplkZ2kqUuSDzFXtPxMAitFgSzgHAl9E2sIlLQTbQ4olh/CtYfFl3pnxYeh62LsFXVgPzEwy7Efii0haiHSkAEKdQ21qCjmzIRJfRBKkJOdJDU0NAqBVPhU/iS8iCR5k04efWd1co4ifMBnhCZMvSrmhy+U+5YuYFYHc5q5O+o/7gRPRYpR47xn7P/tbwLVndmxAPYrwLzZ28i9WtoS/uIKfX1K24rvgWd/f9j9OTwliuYZKcQZh0bQJpvrOxSA2fO0qvFYCvr42LJjPo8Dyaf9jLx3eBaLsO5tFKpaU5XP6wvRbJ+BASOODn+fLrl4OcR7/7dkEirrX/BO7xRwE76TRcceS1fA3EhGrhi+VL29yd/94jaDT1HMrdxidrUvzBLjMUGaoWgDBiY7xM7/pgU7nt7lVxkoe+GYzuL6v6/W0Ccsjx3a1AYMhORIjuza1kQhqk5GqdEmlPpqEbF/HFYDKKJ0Laa2QLk9/OyFDTm4A5JLSGqvFSrAqpQLDqNu/ZFEabEkyvUykBGyGkYzE9hAWm7ihGt0aETA/K/2IXoX2FBVFl87DtynbUImuZBmUpFcykiuAhENtanI5a/uVAinJOXlTgwFoldcGG0tLgWeYcc8u2Cg+8lWuUaxbjZ7b215J+4pDraHT+z7NRmV90uTki4y/0Qt6FlPzl2pBizLWf2T/nv2HTk7im3PqlT2HwbXH7hf14Uxk8tSR3eXLzKCWmI/eHRga55p6w1e3gMeGnuf+vT9/apaiW73H3nZsii0mNnC2E+S/fvmdpKXE3vHCFMZVNfGxgf4zZ/qHxvLoLmEUJXPZ/k3wF+Jh+HGRfzCAvzEqq9uw9+iJZ5tX4ATv9JwAAdOX7xNcDnwB+FeV9c2NnPUzzNRpF/Ck9pjh4JVuR2Kw5zTIvGK+sLysYTFaqbDzpYC4pZ4+80QLZJPk6P/5E6SiJNlpl7nnwUaQqKmm9cwkaz0fBidks5kJO5EtXHyB3ADIJcX56xBWt3+JQrXYkkTyvETNhbn07PrhsQG2TYiNDiGjbbgz8840LGkCg4cHNz166AxrT5EpbE+Zfkte0KlnQsihJjXVS81FgripYQvRKp8LtpS0ifHBF2BExa3CNwZVNUtg1Kv9AfjDHaoNXdHcpxxi3X5z8UVATUPCH/nWiqFjrVXL1m/f1bZrh7lzcBpEjp/9HXRTTKvEU4dHfvuzpu37sC5Xjm/dvr+Hf05Y3LAGxHtOvJW3L3zLVrag+SI9B1tqSlfvPnTsyJ7HW6B71P7Y14DvRHRELpxDjYu/peHu7xzwnP2N3bisZnXrIa57IspEVegakoh9IvTb+FmEYeaWiBPHIpFYYmro2PYfgHEUk+27aHRELJAeHj8AhhbMLlPm90vpkrmcR/94EY513Lt8IZ9L+cI65P5c/khoaBMnf7Sxx+bug1OVVY7E+PH1u3rcvl4831hFWp/LhjXWPrfL4frGXVW4Esa9bdCFvuP2eZkFzoydZJarFkNuAOSSamVqv05q/0LOGmxJSJTv0MqHtiIj72lpqFn96J5jxw89vrIFFNLu+b5U+1L51x19LofDfN9drD2dfRnaE3PH/PJ8IyPKj5RDjWoSlZ2tEGFTw2evVZ5PmGsgeuWPsE00NiwSvNLyunvhq+zLH6BReVSC9oaukPdprqSopc/BF0mM9xwEhFs+euHvjC2XuwNgGgO8N8vQmOOVP14E4Yoa4VkZnK74/oE4mkTCmDv6B5ODR7fxNWVYdA+sqCvBEPifn6Nk816vhc3Kv29Hy/Y26FeYdz62VPBVSUsytncPHt2788Bpn8viP7xj8d+fZB9uSDNQkAM2CnnremWIF5oYz3gEj420lldUlJfWGFuglTv++WE1NcZPHgJ+n33Ht3mS+fzzG0APTkxdTRWfbYmhEj0DMMgWYHRk4Ffmw0x3e/Pt14VbkZdPDUz/avtWxt7bvKb6g9QLM3tWtq65dWdrM/7YfPzkQeREG//b15YpwNDTThSKlb5EbgDkktIl5RRLZv+iIrTYkihZvoMltQ+/7GEbGH9nW8vWHbB9YSyPPSwMTIrLLKtb17pzZ/O6OhQ5dtAMDcpof2QF9k3EovqHyTnUqqau2EmaGjEArfLitDmFccO3RNQmMiU1iypS89Tc0BX0Pk3FrsNZ9r5IYvzNgxBQ5642pi90orGutA+6JsbahdjPRz0gfuQR4R5+2QvOLFsa0v0BA5qF4Pf9KW8DI4n+Qz+BrYPR0uHuardCV4cxMp6mxYcG4MiNlsN82AZH7MGx5q+fMoOfg8++yL9fQvE5/CvZbD8MmjR/26YjQ1D5yTP7m/ahRyax6cavXjVa3L5AcNhrAa7LrobWI4LvIlF6YgQ1dpa/JB4EkshES1RKVadvPza5r2GHyeVrNDBXU+QkCpg89bMdPWaffQMTu4ptQRhbkRCfkajY0DNmaOxmV8dmpVVadLUTjZqSGwC5pEYIZOJk9i/kpcGWhEQ6hBJTZ54xwwbG0t7h7kCz4mED07n40SOq7cvQkR+jxtPcYWcbFh0AKmSpgcNc1FRAkMullCYkvamRyFirvEQW+YgqxZ4Rl5Xmhq7A9ymHW7ff7H2R8f7fY1Su4V+uq2QS469DP59pvH8xcDMiI6+hh4R03JHX0fyLTevvSb/CnfNP0lxElr+J8RPrd4BXMubel49ua/7+s4dOhwPdFjikwOw44BVeh5BkbxS9AC5b0gSdEX/gSt6cJsaw7mjI77AYtxsrGhtXL94I5nigI8wIoy+GNUcHjzavqatesfm5ww5w+fD250eEy2wK/mfkPw6Axs7Yvr0+3enjRfIWwLd6LC6giQX8cDouw2A3YuTIrn1Me2frGhCDb0hDxXwmMbRnz/F0EmNDu5r22b2/gNNvS/CMHwOYXjxyZM/xkXRZVMIM/IscedwIrdnk/CVSQbZIve1EtmCJC+QGQC4pUUxeokjsnytIgy1xSfT5Tbz4zEbYvjh7jz67rXnbs6eTYfBNL2xgOrd7R5QamMjQEeN2aFCO3l+KppnrA1MqVy0cZq+mVMm5xqk2NWkFaJVPS579KW74wteENpGJDL0GG8UwzlR7Q1f4+zR7OohSlhBJSQjF+r3Qszfau1tXwO5u/BxyTWx4coKh/kEL05nhjkTe8cLqsK5fltlDsk5Ivh6Cg2PDELV5y33c5FlDXeMv+pyd63/ATETAPJVMBFA+7cBoFopf6ZakerdpCbI9razfeXTwyV9EoomEodJwdn/zxl0e05b7KlF+k0NnxkpXbViBz5jKe78O3CEPc3hg3LlC8k1NbOCncGoM89TWL2cLiDwdGmP3+F/vv8gAnxQfcdwILLm9nElMnX4EtrzGX+1noh9Gr/Th5nrZxAGmZ0nH36eUkzjznAWK/u5X5b3gi+tLUJTpXDkH/Po7hm0psjN0kji9/1EE3z784pOcKWWUPWN2klGydAS5AZBLSpeUp1hF++fL0GJLfCKdAsHBPphzk+k+rgDDhiefc57o/EEP88FV+QZm8rTZuB0kAYvx7Nwga1Bcnvn/1chhtmrmHzjIUaWpyShTq3xGBtlGlC/8HBi89vecvhh5spJ7R34dPUytrp0PVlnV3NAVyX2aLSEk6bL1RWIX8Acme1o3omJib74EXRPH9zbgHOPXEPFzU4Y5Ihf6kSvyrWUZxSZCExMgvenLX+BqjgS9gkz8OmgOwIE7RVYwkQKHjVT4KV8E52CmmlQkCGfC5POYHhs6f3XhuvraMoMBeUiRd05Bnh4x3Qv+x8aOLTa2WN2jvC/CDTcw1+G3gxI+1cC/tYMeHawm+y3kJuYTq0ReJcavNzP7/J4/vBtj1mA0ly+OQ0HkmE4MvdfscD5WFovFmLmL5kbRiyej2bb5y5/7f7/0UAr6xMTYtRan67HYR+Cxcu7cclyDRlt7y+fm7jIty5NlSKggG9V/6G837fIwJsfoizuR1zd5/NAbm1of5nwuNuHM2IksyowL5AZALplRSN4ilO1fXIwGWxIn0yUcx9bJDv1xRag8qEz3P7p4E3j/2u4dfXYznFYy1X/81XmbmuvTDIrLTodfjRxmpaYOsFGWKk1NRrFa5TMyyDaipO6BZiPj93tGgrE1uFFnQudho858ZW0do72hK4b7NFsyiNNltwpK1N8BSzC52LWg8Eo+jNUfAk+vcPWeCW87FLC6xav+9KLlX9q7R8EKY2krgYZ9LpwhvwCaAjCStc7w+mlgYES8UhZef4YRrRLmx+uM4dXPYJHx0e4uh6PDH8TLmYVcaJ5J1zCHK8gtZ8RFKOAkWuuMXeLXyC1slgz1OSEVRgdeVzXsg6fs+myosDAWAKpBctMAJ7nlgBhrF7fMjgJE0SWSBaygOAvY4uerll1Wjl9jDS+ky6RVMS5qGK3QanYNcyVn4OcuJJPDFkiEhRcVrkiFiNY6QwkzKl1KqWQUL6MJRuFHw/E4WN8uGuqGBoyX3E2DnZOdEK11Ro6cXd8p0wDSMBfCVMC6mWl3nJr9S1g4V/sZtsRdkPklWesMJs20cInIaBd8V5u6ah/HfAdeijU03OV0dHj9uCnh1n1mnN3gxgTrvsVDo15gTxaC+5RorTOkdTq98pHoSjKDwzQjIVATZyTzn2itMzmQmRWh2tSkcp5UlZeBjaOJ1jqTAe9Hy2ObXeyijlG03jR4zytaPZEvO6OhS9OCsyutTTpfwKwIZLnuqt8FuwkLuyx6kl2n1mgG0ypNeG8X3GeLFjIHLR/u18H8Lr6j5TnCK/Vau4j6HRJfBLQo+Lse1JeAcqJ+tx02HtzeN/FoODjajXo7EGfvCwThaqphH/I9hB1qwtjrYvBKzyHUkwqK8/glA0S+SBwbIvjWGK7JCDbmQACEtcbZJeEZsJMOXEs/POrFmK14d4NMwMh3ASpxa8ZLQpOIJPBFIGfdaKFrwKO9qy8UZv2RgAdyi1e/nuiG01nS3FBcXjSIN9ZhjLauAE6bgZ9FFg9z9WXEiksgTo0i8UWkKl1aKWzhUJG0w+aBXUsG7FzshMQXIUeOnVcJA8jEPLOmIqUC6JRV7D+TalztEraUag+ZZwS+iKQxSEZyjR4YDPZCpz8e9KHVkuGNjJ0PvFwyqAi4siq7IniaMcFTt8oWGVAPEl9Ekl7JSJ4ZCQ4zjIRbg1xWTT43yQCJLyIFUppzUIRyU5PCOQKkLC+JmY8k8UWkwKMM4qOovzGhLVAm0GM44x5lG0y+iKRUQ5emhewdLeRyI4Sy80XYbr6L24mBt1ezw8uT3Y2W9+gS2Gcfl8HNyo8ycBQG4Y4rqWMY3CWJXzJfBCQM93Zg/4NtAkxWh2+CBTiKdu1jL6Aflz8MWka8/AXvZoFc+K2hsLC9y4fbGglkqVFEvkgyOdHXgR0gnL/R0t6buunJRF9XynJl4Msg+GiFjgzAeIMJ8HFpKhb1M3VfhH3IEHFm7uCGh+J9LtHCIRaX1GY5rJ/Hpje5YNoM/BgoflzjS3KKR7dkVCHxRSQqva8XPd/yRQEzBEqFsdMpimWDNryosxTsrO2ExBchRp6UNYAMzLKSMgzz0dmZyluSd5yq/WfAhjCiUrbE45MJqPsikhYuGYmKiAZ67Sl3psnhFtZ/x9sIgEc2MILIuaqZBoX3K5FBzEWT+CISFuIPS0ayuUpyKMW2spocRulfEl9EAqT0XYmLUGpqxJxzgJTkORnpXxJfRAI86EfwEewTtYmM5M6akg1dmhZZ36fSWhVrbHa+iIQ20VCQf0pmLwe7wQgIg58jUVQ8HAxMsC8/xFngtxL8cJb4kmSY2BfBpUaDE/AIhYlciHg4FAyG0kXj4YlAAGbCu1qSyFIjCX0RlAjwpwwSkAclgsF0NTIAQ321wGRBq3cwqdplnkXBpB+EMfOSQkwGfgVZpUskvohSeo3XpGFnZSckvogWdLIGkIFZVlK5uNxNJSN/JfvPgJ2RmixC3RchyydNioWe2Wgk47ApSb9f01ITnZL4IkQZEQjJsS2vplKmJL6IUnqZa/JNjTTn8vIyBaBoEl9EKT28FoXNOmgXOf9ETR5fT9Miy/uUrKxikcqYRJrpuJPFlFVWp8xDBKmqG0967Xc3mTtbo9vQJMoSQ3WdxATEsZ+Bb1vMLpUPJslgSEiVlFXX1krEy0SBdbqqM0GWGGqloMvkkUU04K9WcQIbIE8CFygpA7A2fbPAKpekrFIL0VwuGfi5C8X9Kw1bdzshIUXWADIwy0qSFJNXGSX7z4Cd15JzzkweeklldQG+lMlRITm25dXMscBskss3NdKcy8tnU7qWNGW1WTWKqZZTPPepFtU1yma/vghJQXWb9/pc5u0rHx+QXRsicrx12T7GNvy/W2ffXUtCAZWhDFAGKAOUAcoAZUCRAX19EVD0mtYTvg6moeJRyYW5hp4zb+1zjEYPzMTHp4pE0IuUAcoAZYAyQBmgDBSEgby9o1FAv2bb0eh3Y2VSRa20euJPGqSuKORHL1EGKAOUAcoAZYAycOMwMENuQBm73ks6cSVlmVMz0mXoOWWAMkAZoAxQBigDNzADur+j0YO7ysrKOXPm6JFzfvM0GAylBFs35bfQrHOrqqrKOm0xJCwrK7v11luLAYlWDLPLToB2s9RUFixY8JnPzMoW75Zbbrntttu02lUxyM862xaTBjifO1dlKV2xPA3nwsAc8EFPLulpWsoAZYAyQBmgDFAGKAO5MDArnxJyUZimpQxQBigDlAHKAGWgqBigvkhRVQcFQxmgDFAGKAOUgZuOAeqL3HRVThWmDFAGKAOUAcpAUTFAfZGiqg4KhjJAGaAMUAYoAzcdA9QXuemqnCpMGaAMUAYoA5SBomKA+iJFVR0UDGWAMkAZoAxQBm46BqgvctNVOVWYMkAZoAxQBigDRcUA9UWKqjooGMoAZYAyQBmgDNx0DFBf5KarcqowZYAyQBmgDFAGioqB/x8rDi5bFiFqUwAAAABJRU5ErkJggg==
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
The position of a car driving along a straight road at time $$t$$ in
minutes is given by the function $$y = s(t)$$ that is pictured in
<<figreference 1_6_PA1.svg>>. The car’s position function has units measured in
thousands of feet. For instance, the point $$(2,4)$$ on the graph
indicates that after 2 minutes, the car has traveled 4000 feet.
''a)'' In everyday language, describe the behavior of the car over the provided
time interval. In particular, you should carefully discuss what is
happening on each of the time intervals $$[0,1]$$, $$[1,2]$$, $$[2,3]$$,
$$[3,4]$$, and $$[4,5]$$, plus provide commentary overall on what the car is
doing on the interval $$[0,12]$$.
''b)'' On the lefthand axes provided in Figure [F:1.6.PA1b], sketch a careful,
accurate graph of $$y = s'(t)$$.
''c)'' What is the meaning of the function $$y = s'(t)$$ in the context of the
given problem? What can we say about the car’s behavior when $$s'(t)$$ is
positive? when $$s'(t)$$ is zero? when $$s'(t)$$ is negative?
''d)'' Rename the function you graphed in (b) to be called $$y = v(t)$$. Describe
the behavior of $$v$$ in words, using phrases like “$$v$$ is increasing on
the interval $$\ldots$$” and “$$v$$ is constant on the interval $$\ldots$$.”
''e)'' Sketch a graph of the function $$y = v'(t)$$ on the righthand axes provide
in Figure <<figreference 1_6_PA1b.svg>>. Write at least one sentence to explain how the
behavior of $$v'(t)$$ is connected to the graph of $$y=v(t)$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Suppose that $$y = f(x)$$ is a differentiable function for which the
following information is known: $$f(2) = -3$$, $$f'(2) = 1.5$$,
$$f''(2) = -0.25$$.
''a)'' Is $$f$$ increasing or decreasing at $$x = 2$$? Is $$f$$ concave up or concave
down at $$x = 2$$?
''b)'' Do you expect $$f(2.1)$$ to be greater than $$-3$$, equal to $$-3$$, or less
than $$-3$$? Why?
''c)'' Do you expect $$f'(2.1)$$ to be greater than $$1.5$$, equal to $$1.5$$, or
less than $$1.5$$? Why?
''d)'' Sketch a graph of $$y = f(x)$$ near $$(2,f(2))$$ and include a graph of the
tangent line.
''2.'' For a certain function $$y = g(x)$$, its derivative is given by the
function pictured in <<figreference 1_6_Ez2.svg>>.
What is the approximate slope of the tangent line to $$y = g(x)$$ at the
point $$(2,g(2))$$?
How many real number solutions can there be to the equation $$g(x) = 0$$?
Justify your conclusion fully and carefully by explaining what you know
about how the graph of $$g$$ must behave based on the given graph of $$g'$$.
On the interval $$-3 < x < 3$$, how many times does the concavity of $$g$$
change? Why?
Use the provided graph to estimate the value of $$g''(2)$$.
On the interval $$-3 < x < 3$$, how many times does the concavity of $$g$$
change? Why?
Use the provided graph to estimate the value of $$g''(2)$$.
''3.'' A bungee jumper’s height $$h$$ (in feet ) at time $$t$$ (in seconds) is
given in part by the data in the following table:
[img width=100% [1.6.exercises.table]]
''a)'' Use the given data to estimate $$h'(4.5)$$, $$h'(5)$$, and $$h'(5.5)$$. At
which of these times is the bungee jumper rising most rapidly?
''b)'' Use the given data and your work in (a) to estimate $$h''(5)$$.
''c)'' What physical property of the bungee jumper does the value of $$h''(5)$$
measure? What are its units?
''d)'' Based on the data, on what approximate time intervals is the function
$$y = h(t)$$ concave down? What is happening to the velocity of the bungee
jumper on these time intervals?
''4.'' For each prompt that follows, sketch a possible graph of a function on
the interval $$-3 < x < 3$$ that satisfies the stated properties.
''a)'' $$y = f(x)$$ such that $$f$$ is increasing on $$-3 < x < 3$$, $$f$$ is concave
up on $$-3 < x < 0$$, and $$f$$ is concave down on $$0 < x < 3$$.
''b)'' $$y = g(x)$$ such that $$g$$ is increasing on $$-3 < x < 3$$, $$g$$ is concave
down on $$-3 < x < 0$$, and $$g$$ is concave up on $$0 < x < 3$$.
''c)'' $$y = h(x)$$ such that $$h$$ is decreasing on $$-3 < x < 3$$, $$h$$ is concave
up on $$-3 < x < -1$$, neither concave up nor concave down on
$$-1 < x < 1$$, and $$h$$ is concave down on $$1 < x < 3$$.
''d)'' $$y = p(x)$$ such that $$p$$ is decreasing and concave down on $$-3 < x < 0$$
and $$p$$ is increasing and concave down on $$0 < x < 3$$.
How does the derivative of a function tell us whether the function is
increasing or decreasing at a point or on an interval?
What can we learn by taking the derivative of the derivative (to achieve
the ''second'' derivative) of a function $$f$$?
What does it mean to say that a function is concave up or concave down?
How are these characteristics connected to certain properties of the
derivative of the function?
What are the units on the second derivative? How do they help us
understand the rate of change of the rate of change?
Given a differentiable function $$y= f(x)$$, we know that its derivative,
$$y = f'(x)$$, is a related function whose output at a value $$x=a$$ tells
us the slope of the tangent line to $$y = f(x)$$ at the point $$(a,f(a))$$.
That is, heights on the derivative graph tell us the values of slopes on
the original function’s graph. Therefore, the derivative tells us
important information about the function $$f$$.
At any point where $$f'(x)$$ is positive, it means that the slope of the
tangent line to $$f$$ is positive, and therefore the function $$f$$ is
increasing (or rising) at that point. Similarly, if $$f'(a)$$ is negative,
we know that the graph of $$f$$ is decreasing (or falling) at that point.
In the next part of our study, we work to understand not only ''whether''
the function $$f$$ is increasing or decreasing at a point or on an
interval, but also ''how'' the function $$f$$ is increasing or decreasing.
Comparing the two tangent lines shown in Figure [F:1.6.Intro], we see
that at point $$A$$, the value of $$f'(x)$$ is positive and relatively close
to zero, which coincides with the graph rising slowly. By contrast, at
point $$B$$, the derivative is negative and relatively large in absolute
value, which is tied to the fact that $$f$$ is decreasing rapidly at $$B$$.
It also makes sense to not only ask whether the value of the derivative
function is positive or negative and whether the derivative is large or
small, but also to ask “how is the derivative changing?”
We also now know that the derivative, $$y = f'(x)$$, is itself a function.
This means that we can consider taking its derivative – the derivative
of the derivative – and therefore ask questions like “what does the
derivative of the derivative tell us about how the original function
behaves?” As we have done regularly in our work to date, we start with
an investigation of a familiar problem in the context of a moving
object.
!!Increasing, decreasing, or neither
When we look at the graph of a function, there are features that strike
us naturally, and common language can be used to name these features. In
many different settings so far, we have intuitively used the words
''increasing'' and ''decreasing'' to describe a function’s graph. Here we
connect these terms more formally to a function’s behavior on an
interval of input values.
''Definition 1.5'' Given a function $$f(x)$$ defined on the interval $$(a,b)$$, we say that
''$$f$$ is increasing on $$(a,b)$$'' provided that for all $$x$$, $$y$$ in the
interval $$(a,b)$$, if $$x < y$$, then $$f(x) < f(y)$$. Similarly, we say that
''$$f$$ is decreasing on $$(a,b)$$'' provided that for all $$x$$, $$y$$ in the
interval $$(a,b)$$, if $$x < y$$, then $$f(x) > f(y)$$.
Simply put, an increasing function is one that is rising as we move from
left to right along the graph, and a decreasing function is one that
falls as the value of the input increases. For a function that has a
derivative at a point, we will also talk about whether or not the
function is increasing or decreasing ''at that point''. Moreover, the fact
of whether or not the function is increasing, decreasing, or neither at
a given point depends precisely on the value of the derivative at that
point.
<table>
Let f be a function that is differentiable at x = a. Then f is increasing at x = a if and only if f′(a) > 0 and f is decreasing at x=a if and only if f′(a)<0. If
f ′(a) = 0, then we say f is neither increasing nor decreasing at x = a.
</table>
<<figure 1_6_Intro2.svg>>
For example, the function pictured in <<figreference 1_6_Intro2.svg>> is
increasing at any point at which $$f'(x)$$ is positive, and hence is
increasing on the entire interval $$-2 < x < 0$$. Note that at both
$$x = \pm 2$$ and $$x = 0$$, we say that $$f$$ is neither increasing nor
decreasing, because $$f'(x) = 0$$ at these values.
For any function, we are now accustomed to investigating its behavior by
thinking about its derivative. Given a function $$f$$, its derivative is a
new function, one that is given by the rule
$$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}.$$
Because $$f'$$ is itself a function, it is perfectly feasible for us to
consider the derivative of the derivative, which is the new function
$$y = [f'(x)]'$$. We call this resulting function ''the second derivative''
of $$y = f(x)$$, and denote the second derivative by $$y = f''(x)$$.
Due to the presence of multiple possible derivatives, we will sometimes
call $$f'$$ “the first derivative” of $$f$$, rather than simply “the
derivative” of $$f$$. Formally, the second derivative is defined by the
limit definition of the derivative of the first derivative:
$$f''(x) = \lim_{h \to 0} \frac{f'(x+h)-f'(x)}{h}.$$
We note that all of the established meaning of the derivative function
still holds, so when we compute $$y = f''(x)$$, this new function measures
slopes of tangent lines to the curve $$y = f'(x)$$, as well as the
instantaneous rate of change of $$y = f'(x)$$. In other words, just as the
first derivative measures the rate at which the original function
changes, the second derivative measures the rate at which the first
derivative changes. This means that the second derivative tracks the
instantaneous rate of change of the instantaneous rate of change of $$f$$.
That is, the second derivative will help us to understand how the rate
of change of the original function is itself changing.
In addition to asking ''whether'' a function is increasing or decreasing,
it is also natural to inquire ''how'' a function is increasing or
decreasing. To begin, there are three basic behaviors that an increasing
function can demonstrate on an interval, as pictured in
<<figreference 1_6_3optsi.svg>>: the function can increase more and more rapidly,
increase at the same rate, or increase in a way that is slowing down.
Fundamentally, we are beginning to think about how a particular curve
bends, with the natural comparison being made to lines, which don’t bend
at all. More than this, we want to understand how the bend in a
function’s graph is tied to behavior characterized by the first
derivative of the function.
<<figure 1_6_3optsi.svg>>
For the leftmost curve in <<figreference 1_6_3optsi.svg>>, picture a sequence of
tangent lines to the curve. As we move from left to right, the slopes of
those tangent lines will increase. Therefore, the rate of change of the
pictured function is increasing, and this explains why we say this
function is ''increasing at an increasing rate''. For the rightmost graph
in <<figreference 1_6_3optsi.svg>>, observe that as $$x$$ increases, the function
increases but the slope of the tangent line decreases, hence this
function is ''increasing at a decreasing rate''.
Of course, similar options hold for how a function can decrease. Here we
must be extra careful with our language, since decreasing functions
involve negative slopes, and negative numbers present an interesting
situation in the tension between common language and mathematical
language. For example, it can be tempting to say that “$$-100$$ is bigger
than $$-2$$.” But we must remember that when we say one number is greater
than another, this describes how the numbers lie on a number line:
$$x < y$$ provided that $$x$$ lies to the left of $$y$$. So of course, $$-100$$
is less than $$-2$$. Informally, it might be helpful to say that “$$-100$$
is more negative than $$-2$$.” This leads us to note particularly that
when a function’s values are negative, and those values subsequently get
more negative, the function must be decreasing.
Now consider the three graphs shown in <<figreference 1_6_3optsd.svg>>. Clearly
the middle graph demonstrates the behavior of a function decreasing at a
constant rate. If we think about a sequence of tangent lines to the
first curve that progress from left to right, we see that the slopes of
these lines get less and less negative as we move from left to right.
That means that the values of the first derivative, while all negative,
are increasing, and thus we say that the leftmost curve is ''decreasing
at an increasing rate''.
<<figure 1_6_3optsd.svg>>
This leaves only the rightmost curve in Figure <<figreference 1_6_3optsd.svg>> to
consider. For that function, the slope of the tangent line is negative
throughout the pictured interval, but as we move from left to right, the
slopes get more and more negative. Hence the slope of the curve is
decreasing, and we say that the function is ''decreasing at a decreasing
rate''.
This leads us to introduce the notion of ''concavity'' which provides
simpler language to describe some of these behaviors. Informally, when a
curve opens up on a given interval, like the upright parabola $$y = x^2$$
or the exponential growth function $$y = e^x$$, we say that the curve is
''concave up'' on that interval. Likewise, when a curve opens down, such
as the parabola $$y = -x^2$$ or the opposite of the exponential function
$$y = -e^{x}$$, we say that the function is ''concave down''. This behavior
is linked to both the first and second derivatives of the function.
In Figure <<figreference 1_6_concavity.svg>>, we see two functions along with a sequence
of tangent lines to each. On the lefthand plot where the function is
concave up, observe that the tangent lines to the curve always lie below
the curve itself and that, as we move from left to right, the slope of
the tangent line is increasing. Said differently, the function $$f$$ is
concave up on the interval shown because its derivative, $$f'$$, is
increasing on that interval. Similarly, on the righthand plot in
<<figreference 1_6_concavity.svg>>, where the function shown is concave down,
there we see that the tangent lines alway lie above the curve and that
the value of the slope of the tangent line is decreasing as we move from
left to right. Hence, what makes $$f$$ concave down on the interval is the
fact that its derivative, $$f'$$, is decreasing.
<<figure 1_6_concavity.svg>>
We state these most recent observations formally as the definitions of
the terms ''concave up'' and ''concave down''.
''Definition 1.6'' Let $$f$$ be a differentiable function on an interval $$(a,b)$$. Then $$f$$ is
''concave up'' on $$(a,b)$$ if and only if $$f'$$ is increasing on $$(a,b)$$;
$$f$$ is ''concave down'' on $$(a,b)$$ if and only if $$f'$$ is decreasing on
$$(a,b)$$.
The following activities lead us to further explore how the first and
second derivatives of a function determine the behavior and shape of its
graph. We begin by revisiting <<reference 1.6.PA1>>
The context of position, velocity, and acceleration is an excellent one
in which to understand how a function, its first derivative, and its
second derivative are related to one another. In <<reference 1.6.Act1>>, we
can replace $$s$$, $$v$$, and $$a$$ with an arbitrary function $$f$$ and its
derivatives $$f'$$ and $$f''$$, and essentially all the same observations
hold. In particular, note that $$f'$$ is increasing if and only if both
$$f$$ is concave up, and similarly $$f'$$ is increasing if and only if $$f''$$
is positive. Likewise, $$f'$$ is decreasing if and only if both $$f$$ is
concave down, and $$f'$$ is decreasing if and only if $$f''$$ is negative.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A differentiable function $$f$$ is increasing at a point or on an interval whenever its first derivative is positive, and decreasing whenever its first derivative is negative.
* By taking the derivative of the derivative of a function $$f$$, we arrive at the second derivative, $$f''$$. The second derivative measures the instantaneous rate of change of the first derivative, and thus the sign of the second derivative tells us whether or not the slope of the tangent line to $$f$$ is increasing or decreasing.
* A differentiable function is concave up whenever its first derivative is increasing (or equivalently whenever its second derivative is positive), and concave down whenever its first derivative is decreasing (or equivalently whenever its second derivative is negative). Examples of functions that are everywhere concave up are $$y = x^2$$ and $$y = e^x$$; examples of functions that are everywhere concave down are $$y = -x^2$$ and $$y = -e^x$$.
* The units on the second derivative are “units of output per unit of input per unit of input.” They tell us how the value of the derivative function is changing in response to changes in the input. In other words, the second derivative tells us the rate of change of the rate of change of the original function.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider a function that is piecewise-defined according to the formula
<center>
<table class="equationtable">
<tr><td> $$f(x) =$$
</td> <td>= $$3(x+2)+2$$ for $$-3 < x < -2$$
</td></tr>
<tr><td></td><td>= $$\frac{2}{3}(x+2)+1$$ for $$-2 \le x < -1$$
</td></tr>
<tr><td></td><td>= $$\frac{2}{3}(x+2)+1$$ for $$-1 < x < 1$$
</td></tr>
<tr><td></td><td>= $$2$$ for $$x = 1$$
</td></tr>
<tr><td></td><td>= $$ 4-x$$
</td></tr>
<tr><td></td><td>= $$7$$ for $$x > 1$$
</td></tr>
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
Use the given formula to answer the following questions.
''a)'' For each of the values $$a = -2, -1, 0, 1, 2$$, compute $$f(a)$$.
''b)'' For each of the values $$a = -2, -1, 0, 1, 2$$, determine
$$\lim_{x \to a^-} f(x)$$ and $$\lim_{x \to a^+} f(x)$$.
''c)'' For each of the values $$a = -2, -1, 0, 1, 2$$, determine
$$\lim_{x \to a} f(x)$$. If the limit fails to exist, explain why by
discussing the left- and right-hand limits at the relevant $$a$$-value.
''d)'' For which values of $$a$$ is the following statement true?
$$\lim_{x \to a} f(x) \ne f(a)$$
''e)'' On the axes provided in <<figreference 1_7_Act1.svg>>, sketch an accurate, labeled
graph of $$y = f(x)$$. Be sure to carefully use open circles ($$\circ$$) and
filled circles (●) to represent key points on the graph, as
dictated by the piecewise formula.
Find the interval in which $$a$$ lies and evaluate the function there.
Remember that for $$\lim_{x \to a^-} f(x)$$, we only consider values
of $$x$$ such that $$x < a$$. Find the right formula to use in the piecewise
definition for $$f$$ to fit the values you are considering.
Use your work in (c) and compare left- and right-hand limits.
Use your work in (a) and (c).
Note that $$f$$ is piecewise linear.
Find the interval in which $$a$$ lies and evaluate the function there. For
example, $$f(-2) = \frac{2}{3}(-2+2) + 1$$, based on the formula for $$f$$.
Remember that for $$\lim_{x \to a^-} f(x)$$, we only consider values
of $$x$$ such that $$x < a$$. Find the right formula to use in the piecewise
definition for $$f$$ to fit the values you are considering. For example,
as $$x \to -2^-$$, we use the formula $$3(x+2)+2$$ and see that
$$3(x+2)+2 \to 3(-2+2)+2 = 2$$ as $$x \to -2^+$$.
Use your work in (c) and compare left- and right-hand limits. Remember
that the overall limit exists if and only if both left and right limits
exists and are equal in value.
Use your work in (a) and (c).
Note that $$f$$ is piecewise linear. For instance, $$y = 3(x+2) + 2$$ is a
line through $$(-2,2)$$ with slope 3 and is valid on the interval
$$-3 < x < -2$$.
$$f(-2) = \frac{2}{3}(-2+2) + 1 = 1$$; $$f(-1)$$ is not defined;
$$f(0) = \frac{2}{3}(0+2)+1 = \frac{7}{3}$$; $$f(1) = 2$$ (by the rule);
$$f(2) = 4-2 = 2$$.
$$\lim_{x \to -2^-} f(x) = 2 \ {and} \lim_{x \to -2^+} f(x) = 1$$
$$\lim_{x \to -1^-} f(x) = \frac{5}{3} \ {and} \lim_{x \to -1^+} f(x) = \frac{5}{3}$$
$$\lim_{x \to 0^-} f(x) = \frac{7}{3} \ {and} \lim_{x \to 0^+} f(x) = \frac{7}{3}$$
$$\lim_{x \to 1^-} f(x) = 3 \ {and} \lim_{x \to 1^+} f(x) = 3$$
$$\lim_{x \to 2^-} f(x) = 2 \ {and} \lim_{x \to 2^+} f(x) = 2$$
$$\lim_{x \to -2} f(x)$$ does not exists because the left-hand limit
is $$2$$ while the right-hand limit is $$1$$. All of the other requested
limits exist, as left- and right-hand limits exist and are equal in each
case. The respective values of the limits as $$x \to a$$ for
$$a = -1, 0, 1, 2$$ are $$\frac{5}{3}, \frac{7}{3}, 3, 2$$.
For $$a = -2$$, $$a = -1$$, and $$a = 1$$, $$\lim_{x \to a} f(x) \ne f(a)$$.
At $$a = -2$$, the limit fails to exist, but $$f(-2) = 1$$. At $$a = -1$$, the
limit is $$\frac{5}{3}$$, but $$f(-1)$$ is not defined. At $$a = 1$$, the
limit is 3, but $$f(1) = 2$$.
![image](figures/1_7_Act1Soln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
This activity builds on your work in <<reference 1.7.PA1>>, using
the same function $$f$$ as given by the graph that is repeated in <<figreference 1_7_PA1.svg>>
''a)'' At which values of $$a$$ does $$\lim_{x \to a} f(x)$$ not exist?
''b)'' At which values of $$a$$ is $$f(a)$$ not defined?
''c)'' At which values of $$a$$ does $$f$$ have a limit, but
$$\lim_{x \to a} f(x) \ne f(a)$$?
''d)'' State all values of $$a$$ for which $$f$$ is not continuous at $$x = a$$.
''e)'' Which condition is stronger, and hence implies the other: $$f$$ has a
limit at $$x = a$$ or $$f$$ is continuous at $$x = a$$? Explain, and hence
complete the following sentence: “If $$f$$ at $$x = a$$, then $$f$$ at
$$x = a$$,” where you complete the blanks with ''has a limit'' and ''is
continuous'', using each phrase once.
Consider the left- and right-hand limits at each value.
Carefully examine places on the graph where there’s an open circle.
Are there locations on the graph where the function has a limit but
there’s a hole in the graph?
Remember that at least one of three conditions must fail: if the
function lacks a limit, if the function is undefined, or if the limit
exists but does not equal the function value, then $$f$$ is not continuous
at the point.
Note that the definition of being continuous requires the limit to
exist.
Consider the left- and right-hand limits at each value, and recall that
they must both exist and be equal in order for the overall limit to
exist.
Carefully examine places on the graph where there’s an open circle; at
such locations, look vertically to see if the function has an assigned
value at that point.
Are there locations on the graph where the function has a limit but
there’s a hole in the graph?
Remember that at least one of three conditions must fail: if the
function lacks a limit, if the function is undefined, or if the limit
exists but does not equal the function value, then $$f$$ is not continuous
at the point.
Note that the definition of being continuous requires the limit to
exist.
$$\lim_{x \to a} f(x)$$ does not exist at $$a = -2$$ since
$$\lim_{x \to -2^-} f(x) = 2 \ne -1 = \lim_{x \to -2^+}$$ and
$$\lim_{x \to a} f(x)$$ does not exist at $$a = +2$$ since
$$\lim_{x \to 2^+} f(x)$$ does not exist due to the infinitely oscillatory
behavior of $$f$$.
The only point at which $$f$$ is not defined is at $$a = 3$$.
At $$x = -1$$, note that $$\lim_{x \to -1} f(x)$$ exists (and appears to
have value approximately $$-3.25$$), but $$f(-1) = 1$$, and thus
$$\lim_{x \to -1} f(x) \ne f(-1)$$. At $$x = 3$$,
$$\lim_{x \to 3} f(x) = -2.5$$, but $$f(3)$$ is not defined, so the limit
exists but does not equal the function value.
Based on our work in (a), (b), and (c), $$f$$ is not continuous at $$a=-2$$
and $$a = 2$$ because $$f$$ does not have a limit at those points; $$f$$ is
not continuous at $$a = 3$$ since $$f$$ is not defined there; and $$f$$ is not
continuous at $$a = -1$$ because at that point its limit does not equal
its function value.
“If $$f$$ at $$x = a$$, then $$f$$ at $$x = a$$,” since one of the defining
properties of “being continuous” at $$x = a$$ is that the function has a
limit at that input value. This shows that being continuous is a
stronger condition than having a limit.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In this activity, we explore two different functions and classify the
points at which each is not differentiable. Let $$g$$ be the function
given by the rule $$g(x) = |x|$$, and let $$f$$ be the function that we have
previously explored in <<reference 1.7.PA1>>, whose graph is given
again in <<figreference 1_7_PA1a.svg>>.
''a)'' Reasoning visually, explain why $$g$$ is differentiable at every point $$x$$
such that $$x \ne 0$$.
''b)'' Use the limit definition of the derivative to show that
$$g'(0) = \lim_{h \to 0} \frac{|h|}{h}.$$
''c)'' Explain why $$g'(0)$$ fails to exist by using small positive and negative
values of $$h$$.
''d)'' State all values of $$a$$ for which $$f$$ is not differentiable at $$x = a$$.
For each, provide a reason for your conclusion.
''e)'' True or false: if a function $$p$$ is differentiable at $$x = b$$, then
$$\lim_{x \to b} p(x)$$ must exist. Why?
What type of function is $$g$$ for all $$x < 0$$? For all $$x > 0$$?
Recall that $$g'(0) = \lim_{h \to 0} \frac{g(0 + h) - g(0)}{h}.$$
What is the value of $$|h|$$ when $$h < 0$$?
You might start by identifying points where $$f$$ is not continuous.
What does being differentiable at a point tell you about continuity
there?
Think about how $$g$$ is a piecewise linear function.
Recall that $$g'(0) = \lim_{h \to 0} \frac{g(0 + h) - g(0)}{h}.$$
What is the value of $$|h|$$ when $$h < 0$$? What does this tell you about
$$\frac{|h|}{h}$$ when $$h < 0$$?
Start by identifying points where $$f$$ is not continuous. Then strive to
identify any corner points.
What does being differentiable at a point tell you about continuity at
that point?
We know that $$g(x) = |x|$$ is given by the formula $$g(x) = -x$$ when
$$x < 0$$ and by $$g(x) = x$$ when $$x \ge 0$$. Each of these pieces of $$g$$ is
a straight line, so at every point other than the point where they meet,
the function $$g$$ has a well-defined slope, and thus is differentiable.
Observe that
Following up on our work in (b), note that whenever $$h > 0$$, $$|h| = h$$,
and thus
$$\lim_{h \to 0^+} \frac{|h|}{h} = \lim_{h \to 0^+} \frac{h}{h} = 1,$$
while whenever $$h < 0$$, $$|h| = -h$$, and thus
$$\lim_{h \to 0^-} \frac{|h|}{h} = \lim_{h \to 0^-} \frac{-h}{h} = -1$$
Since the right- and left-hand limits are not equal, it follows that
$$g'(0) = \lim_{h \to 0} \frac{|h|}{h}$$
$$f$$ is not differentiable at $$a = -2, -1, 2, 3$$ because at each of these
points $$f$$ is not continuous. In addition, $$f$$ is not differentiable at
$$a = -3$$ and $$a = 1$$ because the graph of $$f$$ has a corner point (or
cusp) at each of these values.
True: if a function $$p$$ is differentiable at $$x = b$$, then
$$\lim_{x \to b} p(x)$$ must exist. This is true because we know that if
$$p$$ is differentiable at a point, then $$p$$ is continuous there, and
anytime a function is continuous at a point, it must have a limit there.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Consider the graph of the function $$y = p(x)$$ that is provided in
<<figreference 1_7_Ez2.svg>>. Assume that each portion of the graph of $$p$$ is a
straight line, as pictured.
''a)'' State all values of $$a$$ for which $$\lim_{x \to a} p(x)$$ does not exist.
''b)'' State all values of $$a$$ for which $$p$$ is not continuous at $$a$$.
''c)'' State all values of $$a$$ for which $$p$$ is not differentiable at $$x = a$$.
''d)'' On the axes provided in Figure [F:1.7.Ez2], sketch an accurate graph of
$$y = p'(x)$$.
''2.'' For each of the following prompts, give an example of a function that
satisfies the stated criteria. A formula or a graph, with reasoning, is
sufficient for each. If no such example is possible, explain why.
''a)'' A function $$f$$ that is continuous at $$a = 2$$ but not differentiable at
$$a = 2$$.
''b)'' A function $$g$$ that is differentiable at $$a = 3$$ but does not have a
limit at $$a=3$$.
''c)'' A function $$h$$ that has a limit at $$a = -2$$, is defined at $$a = -2$$, but
is not continuous at $$a = -2$$.
''d)'' A function $$p$$ that satisfies all of the following:
- $$p(-1) = 3$$ and $$\lim_{x \to -1} p(x) = 2$$
- $$p(0) = 1$$ and $$p'(0) = 0$$
- $$\lim_{x \to 1} p(x) = p(1)$$ and $$p'(1)$$ does not exist
''3.'' Let $$h(x)$$ be a function whose derivative $$y= h'(x)$$ is given by the
graph on the right in <<figreference 1_7_Ez3.svg>>.
''a)'' Based on the graph of $$y = h'(x)$$, what can you say about the behavior
of the function $$y = h(x)$$?
''b)'' At which values of $$x$$ is $$y = h'(x)$$ not defined? What behavior does
this lead you to expect to see in the graph of $$y=h(x)$$?
''c)'' Is it possible for $$y = h(x)$$ to have points where $$h$$ is not
continuous? Explain your answer.
''d)'' On the axes provided at left, sketch at least two distinct graphs that
are possible functions $$y = h(x)$$ that each have a derivative
$$y = h'(x)$$ that matches the provided graph at right. Explain why there
are multiple possibilities for $$y = h(x)$$.
''4.'' Consider the function $$g(x) = \sqrt{|x|}$$.
''a)'' Use a graph to explain visually why $$g$$ is not differentiable at
$$x = 0$$.
''b)'' Use the limit definition of the derivative to show that
$$g'(0) = \lim_{h \to 0} \frac{\sqrt{|h|}}{h}.$$
''c)'' Investigate the value of $$g'(0)$$ by estimating the limit in (b) using
small positive and negative values of $$h$$. For instance, you might
compute $$\frac{\sqrt{|-0.01|}}{0.01}$$. Be sure to use several different
values of $$h$$ (both positive and negative), including ones closer to 0
than 0.01. What do your results tell you about $$g'(0)$$?
''d)'' Use your graph in (a) to sketch an approximate graph of $$y = g'(x)$$.
What does it mean graphically to say that $$f$$ has limit $$L$$ as
$$x \to a$$? How is this connected to having a left-hand limit at $$x = a$$
and having a right-hand limit at $$x = a$$?
What does it mean to say that a function $$f$$ is continuous at $$x = a$$?
What role do limits play in determining whether or not a function is
continuous at a point?
What does it mean graphically to say that a function $$f$$ is
differentiable at $$x = a$$? How is this connected to the function being
locally linear?
How are the characteristics of a function having a limit, being
continuous, and being differentiable at a given point related to one
another?
In <<reference 1.2.Limits>>, we learned about how the concept of limits
can be used to study the trend of a function near a fixed input value.
As we study such trends, we are fundamentally interested in knowing how
well-behaved the function is at the given point, say $$x = a$$. In this
present section, we aim to expand our perspective and develop language
and understanding to quantify how the function acts and how its value
changes near a particular point. Beyond thinking about whether or not
the function has a limit $$L$$ at $$x = a$$, we will also consider the value
of the function $$f(a)$$ and how this value is related to
$$\lim_{x \to a} f(x)$$, as well as whether or not the function has a
derivative $$f'(a)$$ at the point of interest. Throughout, we will build
on and formalize ideas that we have encountered in several settings.
We begin to consider these issues through the following preview activity
that asks you to consider the graph of a function with a variety of
interesting behaviors.
!!Having a limit at a point
In <<reference 1.2.Limits>>, we first encountered limits and learned that
we say that $$f$$ has limit $$L$$ as $$x$$ approaches $$a$$ and write
$$\lim_{x \to a} f(x) = L$$ provided that we can make the value of
$$f(x)$$ as close to $$L$$ as we like by taking $$x$$ sufficiently close (but
not equal to) $$a$$. Here, we expand further on this definition and focus
in more depth on what it means for a function not to have a limit at a
given value.
Essentially there are two behaviors that a function can exhibit at a
point where it fails to have a limit. In <<figreference 1_7_NoLimit.svg>>, at left
we see a function $$f$$ whose graph shows a jump at $$a = 1$$. In
particular, if we let $$x$$ approach 1 from the left side, the value of
$$f$$ approaches 2, while if we let $$x$$ go to $$1$$ from the right, the
value of $$f$$ tends to 3. Because the value of $$f$$ does not approach a
single number as $$x$$ gets arbitrarily close to 1 from both sides, we
know that $$f$$ does not have a limit at $$a = 1$$.
Since $$f$$ does approach a single value on each side of $$a = 1$$, we can
introduce the notion of ''left'' and ''right'' (or ''one-sided'') limits. We
say that ''$$f$$ has limit $$L_1$$ as $$x$$ approaches $$a $$ from the left'' and
write
$$\lim_{x \to a^-} f(x) = L_1$$
provided that we can make the value of $$f(x)$$ as close to $$L_1$$ as we
like by taking $$x$$ sufficiently close to $$a$$ while always having
$$x < a$$. In this case, we call $$L_1$$ the left-hand limit of $$f$$ as $$x$$
approaches $$a$$. Similarly, we say ''$$L_2$$ is the right-hand limit of $$f$$
as $$x$$ approaches $$a$$'' and write
$$\lim_{x \to a^+} f(x) = L_2$$
provided that we can make the value of $$f(x)$$ as close to $$L_2$$ as we
like by taking $$x$$ sufficiently close to $$a$$ while always having
$$x > a$$. In the graph of the function $$f$$ in <<figreference 1_7_NoLimit.svg>>, we
see that
$$\lim_{x \to 1^-} f(x) = 2 \ \ and \ \lim_{x \to 1^+} f(x) = 3$$
and precisely because the left and right limits are not equal, the
overall limit of $$f$$ as $$x \to 1$$ fails to exist.
<<figure 1_7_NoLimit.svg>>
For the function $$g$$ pictured at right in <<figreference 1_7_NoLimit.svg>>, the
function fails to have a limit at $$a = 1$$ for a different reason. While
the function does not have a jump in its graph at $$a = 1$$, it is still
not the case that $$g$$ approaches a single value as $$x$$ approaches 1. In
particular, due to the infinitely oscillating behavior of $$g$$ to the
right of $$a = 1$$, we say that the right-hand limit of $$g$$ as $$x \to 1^+$$
does not exist, and thus $$\lim_{x \to 1} g(x) $$ does not exist.
To summarize, anytime either a left- or right-hand limit fails to exist
or the left- and right-hand limits are not equal to each other, the
overall limit will not exist. Said differently,
<table>
A function $$f$$ has limit $$L$$ as $$x \to a$$ if and only if
<center>
$$\lim_{x \to a^-} f(x) = L = \lim_{x \to a^+} f(x).$$
</center>
That is, a function has a limit at x = a if and only if both the left- and right-hand limits at $$x = a$$ exist and share the same value.
</table>
In <<reference 1.7.PA1>>, the function $$f$$ given in
<<figreference 1_7_PA11.svg>> only fails to have a limit at two values: at $$a = -2$$
(where the left- and right-hand limits are 2 and $$-1$$, respectively) and
at $$x = 2$$, where $$\lim_{x \to 2^+} f(x)$$ does not exist). Note well
that even at values like $$a = -1$$ and $$a = 0$$ where there are holes in
the graph, the limit still exists.
!!Being continuous at a point
Intuitively, a function is continuous if we can draw it without ever
lifting our pencil from the page. Alternatively, we might say that the
graph of a continuous function has no jumps or holes in it. We first
consider three specific situations in Figure [F:1.7.Cont] where all
three functions have a limit at $$a = 1$$, and then work to make the idea
of continuity more precise.
Note that $$f(1)$$ is not defined, which leads to the resulting hole in
the graph of $$f$$ at $$a = 1$$. We will naturally say that $$f$$ is ''not
continuous at $$a = 1$$''. For the next function $$g$$ in in
<<figreference 1_7_Cont.svg>>, we observe that while $$\lim_{x \to 1} g(x) = 3$$,
the value of $$g(1) = 2$$, and thus the limit does not equal the function
value. Here, too, we will say that $$g$$ is ''not continuous'', even though
the function is defined at $$a = 1$$. Finally, the function $$h$$ appears to
be the most well-behaved of all three, since at $$a = 1$$ its limit and
its function value agree. That is,
$$\lim_{x \to 1} h(x) = 3 = h(1).$$
With no hole or jump in the graph of $$h$$ at $$a = 1$$, we desire to say
that $$h$$ is ''continuous'' there.
More formally, we make the following definition.
''Definition 1.7.'' A function $$f$$ is ''continuous'' provided that
''a)''
$$f$$ has a limit as $$x \to a$$,
''b)'' $$f$$ is defined at $$x = a$$, and
''c)''
$$\lim_{x \to a} f(x) = f(a).$$
Conditions (a) and (b) are technically contained implicitly in (c), but
we state them explicitly to emphasize their individual importance. In
words, (c) essentially says that a function is continuous at $$x = a$$
provided that its limit as $$x \to a$$ exists and equals its function
value at $$x = a$$. Thus, continuous functions are particularly nice: to
evaluate the limit of a continuous function at a point, all we need to
do is evaluate the function.
For example, consider $$p(x) = x^2 - 2x + 3$$. It can be proved that every
polynomial is a continuous function at every real number, and thus if we
would like to know $$\lim_{x \to 2} p(x)$$, we simply compute
$$\lim_{x \to 2} (x^2 - 2x + 3) = 2^2 - 2 \cdot 2 + 3 = 3.$$
This route of substituting an input value to evaluate a limit works
anytime we know function being considered is continuous. Besides
polynomial functions, all exponential functions and the sine and cosine
functions are continuous at every point, as are many other familiar
functions and combinations thereof.
!!Being differentiable at a point
We recall that a function $$f$$ is said to be differentiable at $$x = a$$
whenever $$f'(a)$$ exists. Moreover, for $$f'(a)$$ to exist, we know that
the function $$y = f(x)$$ must have a tangent line at the point
$$(a,f(a))$$, since $$f'(a)$$ is precisely the slope of this line. In order
to even ask if $$f$$ has a tangent line at $$(a,f(a))$$, it is necessary
that $$f$$ be continuous at $$x = a$$: if $$f$$ fails to have a limit at
$$x = a$$, if $$f(a)$$ is not defined, or if $$f(a)$$ does not equal the value
of $$\lim_{x \to a} f(x)$$, then it doesn’t even make sense to talk about
a tangent line to the curve at this point.
Indeed, it can be proved formally that if a function $$f$$ is
differentiable at $$x = a$$, then it must be continuous at $$x = a$$. So, if
$$f$$ is not continuous at $$x = a$$, then it is automatically the case that
$$f$$ is not differentiable there. For example, in <<figreference 1_7_Cont.svg>>
from our early discussion of continuity, both $$f$$ and $$g$$ fail to be
differentiable at $$x = 1$$ because neither function is continuous at
$$x = 1$$. But can a function fail to be differentiable at a point where
the function is continuous?
In <<figreference 1_7_NotDiff.svg>>, we revisit the situation where a function has
a sharp corner at a point, something we encountered several times in
Section <<reference 1.4.DerivativeFxn>>. For the pictured function $$f$$, we observe
that $$f$$ is clearly continuous at $$a = 1$$, since
$$\lim_{x \to 1} f(x) = 1 = f(1).$$
<<figure 1_7_NotDiff.svg>>
But the function $$f$$ in <<figreference 1_7_NotDiff.svg>> is not differentiable at
$$a = 1$$ because $$f'(1)$$ fails to exist. One way to see this is to
observe that $$f'(x) = -1$$ for every value of $$x$$ that is less than 1,
while $$f'(x) = +1$$ for every value of $$x$$ that is greater than 1. That
makes it seem that either $$+1$$ or $$-1$$ would be equally good candidates
for the value of the derivative at $$x = 1$$. Alternately, we could use
the limit definition of the derivative to attempt to compute $$f'(1)$$,
and discover that the derivative does not exist. A similar problem will
be investigated in <<reference 1.7.Act3>> Finally, we can also see visually
that the function $$f$$ in <<figreference 1_7_NotDiff.svg>> does not have a tangent
line. When we zoom in on $$(1,1)$$ on the graph of $$f$$, no matter how
closely we examine the function, it will always look like a “V”, and
never like a single line, which tells us there is no possibility for a
tangent line there.
To make a more general observation, if a function does have a tangent
line at a given point, when we zoom in on the point of tangency, the
function and the tangent line should appear essentially
indistinguishable<<footnote "[1]" "See, for instance, http://gvsu.edu/s/6J
for an applet (due to David Austin, GVSU) where zooming in shows the
increasing similarity between the tangent line and the curve.">>. Conversely, if we have a function such that when
we zoom in on a point the function looks like a single straight line,
then the function should have a tangent line there, and thus be
differentiable. Hence, a function that is differentiable at $$x = a$$
will, up close, look more and more like its tangent line at $$(a,f(a))$$,
and thus we say that a function is differentiable at $$x = a$$ is ''locally
linear''.
To summarize the preceding discussion of differentiability and
continuity, we make several important observations.
*If $$f$$ is differentiable at $$x = a$$, then $$f$$ is continuous at $$x = a$$. Equivalently, if$$f$$ fails to be continuous at $$x = a$$, then $$f$$ will not be differentiable at $$x = a$$.
* A function can be continuous at a point, but not be differentiable there. In particular, a function $$f$$ is not differentiable at $$x = a$$ if the graph has a sharp corner (or ''cusp'') at the point $$(a,f(a))$$.
* If $$f$$ is differentiable at $$x = a$$, then $$f$$ is locally linear at $$x = a$$. That is, when a function is differentiable, it looks linear when viewed up close because it resembles its tangent line there.
!!Summary
---
In this section, we encountered the following important ideas:
---
*A function $$f$$ has limit $$L$$ as $$x \to a$$ if and only if $$f$$ has a left-hand limit at $$x = a$$, has a right-hand limit at $$x = a$$, and the left- and right-hand limits are equal. Visually, this means that there can be a hole in the graph at $$x = a$$, but the function must approach the same single value from either side of $$x = a$$.
* A function $$f$$ is continuous at $$x = a$$ whenever $$f(a)$$ is defined, $$f$$ has a limit as $$x \to a$$, and the value of the limit and the value of the function agree. This guarantees that there is not a hole or jump in the graph of $$f$$ at $$x = a$$.
* A function $$f$$ is differentiable at $$x = a$$ whenever $$f'(a)$$ exists, which means that $$f$$ has a tangent line at $$(a,f(a))$$ and thus $$f$$ is locally linear at the value $$x = a$$. Informally, this means that the function looks like a line when viewed up close at $$(a,f(a))$$ and that there is not a corner point or cusp at $$(a,f(a))$$.
* Of the three conditions discussed in this section (having a limit at $$x = a$$, being continuous at $$x = a$$, and being differentiable at $$x = a$$), the strongest condition is being differentiable, and the next strongest is being continuous. In particular, if $$f$$ is differentiable at $$x = a$$, then $$f$$ is also continuous at $$x = a$$, and if $$f$$ is continuous at $$x = a$$, then $$f$$ has a limit at $$x = a$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A function $$f$$ defined on $$-4 < x < 4$$ is given by the graph in
<<figreference 1_7_PA11.svg>>. Use the graph to answer each of the following
questions. Note: to the right of $$x = 2$$, the graph of $$f$$ is exhibiting
infinite oscillatory behavior similar to the function
$$\sin(\frac{\pi}{x})$$ that we encountered in the key example early in <<reference 1.2.Limits>>.
''a)'' For each of the values $$a = -3, -2, -1, 0, 1, 2, 3$$, determine whether
or not $$\lim_{x \to a} f(x)$$ exists. If the function has a limit $$L$$
at a given point, state the value of the limit using the notation
$$\lim_{x \to a} f(x) = L$$. If the function does not have a limit at
a given point, write a sentence to explain why.
''b)'' For each of the values of $$a$$ from part (a) where $$f$$ has a limit,
determine the value of $$f(a)$$ at each such point. In addition, for each
such $$a$$ value, does $$f(a)$$ have the same value as
$$\lim_{x \to a} f(x)$$?
''c)'' For each of the values $$a = -3, -2, -1, 0, 1, 2, 3$$, determine whether
or not $$f'(a)$$ exists. In particular, based on the given graph, ask
yourself if it is reasonable to say that $$f$$ has a tangent line at
$$(a,f(a))$$ for each of the given $$a$$-values. If so, visually estimate
the slope of the tangent line to find the value of $$f'(a)$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose it is known that for a given differentiable function $$y = g(x)$$,
its local linearization at the point where $$a = -1$$ is given by
$$L(x) = -2 + 3(x+1)$$.
''a)'' Compute the values of $$L(-1)$$ and $$L'(-1)$$.
''b)'' What must be the values of $$g(-1)$$ and $$g'(-1)$$? Why?
''c)'' Do you expect the value of $$g(-1.03)$$ to be greater than or less than
the value of $$g(-1)$$? Why?
''d)'' Use the local linearization to estimate the value of $$g(-1.03)$$.
''e)'' Suppose that you also know that $$g''(-1) = 2.$$ What does this tell you
about the graph of $$y = g(x)$$ at $$a = -1$$?
''f)'' For $$x$$ near $$-1$$, sketch the graph of the local linearization
$$y = L(x)$$ as well as a possible graph of $$y = g(x)$$ on the axes
provided in <<figreference 1_8_Act1.svg>>.
Recall that the form of the local linearization is
$$L(x) = g(a) + g'(a)(x-a)$$.
Is the function $$g$$ increasing or decreasing at $$a = -1$$?
Remember that $$g(-1.03) \approx L(-1.03)$$.
What does the second derivative tell you about the shape of a curve?
Use your work above.
Follow the rule for $$L$$ and note that you can easily compute $$L'(x)$$.
Recall that the form of the local linearization is
$$L(x) = g(a) + g'(a)(x-a)$$. What is the value of $$a$$ for the given
function $$L$$?
Observe that the value of $$g'(-1)$$ tells you whether the function $$g$$
increasing or decreasing at $$a = -1$$.
Remember that $$g(-1.03) \approx L(-1.03)$$ and you know a rule for
$$L(x)$$.
What does a positive second derivative tell you about the shape of a
curve at a point?
Use your work above, and think about the value, slope, and concavity of
$$y = g(x)$$ at $$a = -1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
This activity concerns a function $$f(x)$$ about which the following
information is known:
o $$y = f'(x)$$ has its graph given in <<figreference 1_8_Act2.svg>>
Your task is to determine as much information as possible about $$f$$
(especially near the value $$a = 2$$) by responding to the questions
below.
''a)'' Find a formula for the tangent line approximation, $$L(x)$$, to $$f$$ at the
point $$(2,-1)$$.
''b)'' Use the tangent line approximation to estimate the value of $$f(2.07)$$.
Show your work carefully and clearly.
''c)'' Sketch a graph of $$y = f''(x)$$ on the righthand grid in
Figure [F:1.8.Act2]; label it appropriately.
''d)'' Is the slope of the tangent line to $$y = f(x)$$ increasing, decreasing,
or neither when $$x = 2$$? Explain.
''e)'' Sketch a possible graph of $$y = f(x)$$ near $$x = 2$$ on the lefthand grid
in Figure [F:1.8.Act2]. Include a sketch of $$y=L(x)$$ (found in part
(a)). Explain how you know the graph of $$y = f(x)$$ looks like you have
drawn it.
''f)'' Does your estimate in (b) over- or under-estimate the true value of
$$f(2)$$? Why?
Find the value of $$f'(2)$$ from the given graph of $$f$$.
Remember that $$f(2.07) \approx L(2.07)$$.
The graph of $$y = f''(x)$$ is the derivative of the graph of $$y = f'(x)$$.
Is $$f'$$ increasing, decreasing, or neither when $$x = 2$$?
Draw $$y = L(x)$$ first. Then think about options for $$f$$ relative to the
graph of $$L$$.
Does the tangent line lie above or below the graph of $$y = f(x)$$ at
$$(2,3)$$?
Find the value of $$f'(2)$$ from the given graph of $$f$$, and note that you
are given that $$f(2) = -1$$.
Remember that $$f(2.07) \approx L(2.07)$$.
The graph of $$y = f''(x)$$ is the derivative of the graph of $$y = f'(x)$$.
Where must $$f''(x) = 0$$? Where is $$f''(x)$$ positive?
Is $$f'$$ increasing, decreasing, or neither when $$x = 2$$? Use the given
graph of $$y = f'(x)$$ to help you decide.
Draw $$y = L(x)$$ first. Then think about options for $$f$$ relative to the
graph of $$L$$. Is $$f$$ concave up or concave down before $$x = 2$$? after
$$x = 2$$?
Does the tangent line lie above or below the graph of $$y = f(x)$$ at
$$(2,3)$$? You may have to consider values less than $$x = 2$$ and values
greater than $$x = 2$$.
Since $$f(2) = -1$$ and $$f'(2) = 2$$, we have $$L(x) = -1 + 2(x-2)$$.
Using our work in (a),
$$f(2.07) \approx L(2.07) = -1 + 2(2.07-2) = -1 + 2\cdot 0.07 = -0.86$$.
See the plot below.
Is the slope of the tangent line to $$y = f(x)$$ is increasing for $$x < 2$$
because $$y = f'(x)$$ is an increasing function on this interval.
Similarly, for $$x > 2$$, the slope of the tangent line to $$y = f(x)$$ is
decreasing. Right at $$x = 2$$, the slope of the tangent line to
$$y = f(x)$$ is neither increasing nor decreasing.
See the plot below. Note that $$y = f(x)$$ is concave up for $$x < 2$$ since
$$f'$$ is increasing on that interval, and $$y = f(x)$$ is concave down for
$$x > 2$$ since $$f'$$ is decreasing there. Hence $$y = f(x)$$ changes from
concave up to concave down right at $$x = 2$$, which is also the point
near 2 where the graph of $$y = f(x)$$ is steepest.
Because the tangent line to $$y = f(x)$$ lies above the graph of $$f$$ to
the right of $$x = 2$$, our estimate of $$f(2.07)$$ is too large – the local
linearization overshoots the true value of $$f$$ at this point.
![image](figures/1_8_Act2.eps)
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
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$y = g(x) = -x^2+3x+2$$.
''a)'' Use the limit definition of the derivative to compute a formula for
$$y = g'(x)$$.
''b)'' Determine the slope of the tangent line to $$y = g(x)$$ at the value
$$x = 2$$.
''d)'' Find an equation for the tangent line to $$y = g(x)$$ at the point
$$(2,g(2))$$. Write your result in point-slope form <<footnote [1] "Recall that a line with slope ''m'' that passes through {{x0,y0}} has equation {{y - y_0 = m(x - x_0)}}, and this is the point-slope form of the equation.">>.
''e)'' On the axes provided in <<figreference 1_8_PA1.svg>>, sketch an accurate, labeled
graph of $$y = g(x)$$ along with its tangent line at the point $$(2,g(2))$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A certain function $$y=p(x)$$ has its local linearization at $$a = 3$$ given
by $$L(x) = -2x + 5$$.
''b)'' Estimate the value of $$p(2.79)$$.
''c)'' Suppose that $$p''(3) = 0$$ and you know that $$p''(x) < 0$$ for $$x < 3$$. Is
your estimate in (b) too large or too small?
''d)'' Suppose that $$p''(x) > 0$$ for $$x > 3$$. Use this fact and the additional
information above to sketch an accurate graph of $$y = p(x)$$ near
$$x = 3$$. Include a sketch of $$y = L(x)$$ in your work.
''2.'' A potato is placed in an oven, and the potato’s temperature $$F$$ (in
degrees Fahrenheit) at various points in time is taken and recorded in
the following table. Time $$t$$ is measured in minutes.
''a)'' Use a central difference to estimate $$F'(60)$$. Use this estimate as
needed in subsequent questions.
''b)'' Find the local linearization $$y = L(t)$$ to the function $$y = F(t)$$ at
the point where $$a = 60$$.
''c)'' Determine an estimate for $$F(63)$$ by employing the local linearization.
''d)'' Do you think your estimate in (c) is too large or too small? Why?
''3.'' An object moving along a straight line path has a differentiable
position function $$y = s(t)$$. It is known that at time $$t = 9$$ seconds,
the object’s position is $$s = 4$$ feet (measured from its starting point
at $$t = 0$$). Furthermore, the object’s instantaneous velocity at $$t = 9$$
is $$-1.2$$ feet per second, and its acceleration at the same instant is
$$0.08$$ feet per second per second.
''a)'' Use local linearity to estimate the position of the object at
$$t = 9.34$$.
''b)''
Is your estimate likely too large or too small? Why?
''c)'' In everyday language, describe the behavior of the moving object at
$$t = 9$$. Is it moving toward its starting point or away from it? Is its
velocity increasing or decreasing?
''4.'' For a certain function $$f$$, its derivative is known to be
$$f'(x) = (x-1)e^{-x^2}$$. Note that you do not know a formula for
$$y = f(x)$$.
''a)'' At what $$x$$-value(s) is $$f'(x) = 0$$? Justify your answer algebraically,
but include a graph of $$f'$$ to support your conclusion.
''b)'' Reasoning graphically, for what intervals of $$x$$-values is $$f''(x) > 0$$?
What does this tell you about the behavior of the original function $$f$$?
Explain.
''c)'' Assuming that $$f(2) = -3$$, estimate the value of $$f(1.88)$$ by finding
and using the tangent line approximation to $$f$$ at $$x=2$$. Is your
estimate larger or smaller than the true value of $$f(1.88)$$? Justify
your answer.
What is the formula for the general tangent line approximation to a
differentiable function $$y = f(x)$$ at the point $$(a,f(a))$$?
What is the principle of local linearity and what is the local
linearization of a differentiable function $$f$$ at a point $$(a,f(a))$$?
How does knowing just the tangent line approximation tell us information
about the behavior of the original function itself near the point of
approximation? How does knowing the second derivative’s value at this
point provide us additional knowledge of the original function’s
behavior?
Among all functions, linear functions are simplest. One of the powerful
consequences of a function $$y = f(x)$$ being differentiable at a point
$$(a,f(a))$$ is that, up close, the function $$y = f(x)$$ is locally linear
and looks like its tangent line at that point. In certain circumstances,
this allows us to approximate the original function $$f$$ with a simpler
function $$L$$ that is linear: this can be advantageous when we have
limited information about $$f$$ or when $$f$$ is computationally or
algebraically complicated. We will explore all of these situations in
what follows.
It is essential to recall that when $$f$$ is differentiable at $$x = a$$,
the value of $$f'(a)$$ provides the slope of the tangent line to
$$y = f(x)$$ at the point $$(a,f(a))$$. By knowing both a point on the line
and the slope of the line we are thus able to find the equation of the
tangent line. <<reference 1.8.PA1>> will refresh these concepts
through a key example and set the stage for further study.
Given a function $$f$$ that is differentiable at $$x = a$$, we know that we
can determine the slope of the tangent line to $$y = f(x)$$ at $$(a,f(a))$$
by computing $$f'(a)$$. The resulting tangent line through $$(a,f(a))$$ with
slope $$m = f'(a)$$ has its equation in point-slope form given by
$$y - f(a) = f'(a)(x-a),$$
which we can also express as $$y = f'(a)(x-a) + f(a)$$. Note well: there
is a major difference between $$f(a)$$ and $$f(x)$$ in this context. The
former is a constant that results from using the given fixed value of
$$a$$, while the latter is the general expression for the rule that
defines the function. The same is true for $$f'(a)$$ and $$f'(x)$$: we must
carefully distinguish between these expressions. Each time we find the
tangent line, we need to evaluate the function and its derivative at a
fixed $$a$$-value.
<<figure 1_8_TanLine.svg>>
In <<figreference 1_8_TanLine.svg>>, we see a labeled plot of the graph of a
function $$f$$ and its tangent line at the point $$(a,f(a))$$. Notice how
when we zoom in we see the local linearity of $$f$$ more clearly
highlighted as the function and its tangent line are nearly
indistinguishable up close. This can also be seen dynamically in the
java applet at http://gvsu.edu/s/6J.
!!The local linearization
A slight change in perspective and notation will enable us to be more
precise in discussing how the tangent line to $$y = f(x)$$ at $$(a,f(a))$$
approximates $$f$$ near $$x = a$$. Taking the equation for the tangent line
and solving for $$y$$, we observe that the tangent line is given by
$$y = f'(a)(x-a) + f(a)$$
and moreover that this line is itself a function of $$x$$. Replacing the
variable $$y$$ with the expression $$L(x)$$, we call
$$L(x) = f'(a)(x-a) + f(a)$$
the ''local linearization of $$f$$'' at the point $$(a,f(a))$$. In this
notation, it is particularly important to observe that $$L(x)$$ is nothing
more than a new name for the tangent line, and that for $$x$$ close to
$$a$$, we have that $$f(x) \approx L(x)$$.
Say, for example, that we know that a function $$y = f(x)$$ has its
tangent line approximation given by $$L(x) = 3 - 2(x-1)$$ at the point
$$(1,3)$$, but we do not know anything else about the function $$f$$. If we
are interested in estimating a value of $$f(x)$$ for $$x$$ near 1, such as
$$f(1.2)$$, we can use the fact that $$f(1.2) \approx L(1.2)$$ and hence
$$f(1.2) \approx L(1.2) = 3 - 2(1.2-1) = 3 - 2(0.2) = 2.6.$$
Again, much of the new perspective here is only in notation since
$$y = L(x)$$ is simply a new name for the tangent line function. In light
of this new notation and our observations above, we note that since
$$L(x) = f(a) + f'(a)(x-a)$$ and $$L(x) \approx f(x)$$ for $$x$$ near $$a$$, it
also follows that we can write
$$f(x) \approx f(a) + f'(a)(x-a) for \ x \ near \ a.$$
The next activity explores some additional important properties of the
local linearization $$y = L(x)$$ to a function $$f$$ at given $$a$$-value.
As we saw in the example provided by Activity <<reference 1.8.Act1>>, the local
linearization $$y = L(x)$$ is a linear function that shares two important
values with the function $$y = f(x)$$ that it is derived from. In
particular, observe that since $$L(x) = f(a) + f'(a)(x-a)$$, it follows
that $$L(a) = f(a)$$. In addition, since $$L$$ is a linear function, its
derivative is its slope. Hence, $$L'(x) = f'(a)$$ for every value of $$x$$,
and specifically $$L'(a) = f'(a)$$. Therefore, we see that $$L$$ is a linear
function that has both the same value and the same slope as the function
$$f$$ at the point $$(a,f(a))$$.
In situations where we know the linear approximation $$y = L(x)$$, we
therefore know the original function’s value and slope at the point of
tangency. What remains unknown, however, is the shape of the function
$$f$$ at the point of tangency. There are essentially four possibilities,
as enumerated in <<figreference 1_8_Options.svg>>.
<<figure 1_8_Options.svg>>
These stem from the fact that there are three options for the value of
the second derivative: either $$f''(a) <0$$, $$f' '(a) = 0$$, or
$$f''(a) > 0$$. If $$f' '(a) > 0$$, then we know the graph of $$f$$ is concave
up, and we see the first possibility on the left, where the tangent line
lies entirely below the curve. If $$f''(a) < 0$$, then we find ourselves
in the second situation (from left) where $$f$$ is concave down and the
tangent line lies above the curve. In the situation where $$f''(a) = 0$$
and $$f''$$ changes sign at $$x = a$$, the concavity of the graph will
change, and we will see either the third or fourth option <<footnote [1] "It is possible to have f''(a) = 0 and have f'' not change sign
at x = a, in which case the graph will look like one of the first
two options.
">>. A fifth
option (that is not very interesting) can occur, which is where the
function $$f$$ is linear, and so $$f(x) = L(x)$$ for all values of $$x$$.
The plots in <<figreference 1_8_Options.svg>> highlight yet another important
thing that we can learn from the concavity of the graph near the point
of tangency: whether the tangent line lies above or below the curve
itself. This is key because it tells us whether or not the tangent line
approximation’s values will be too large or too small in comparison to
the true value of $$f$$. For instance, in the first situation in the
leftmost plot in <<figreference 1_8_Options.svg>> where $$f''(a) > 0$$, since the
tangent line falls below the curve, we know that $$L(x) \le f(x)$$ for all
values of $$x$$ near $$a$$.
We explore these ideas further in the following activity.
The idea that a differentiable function looks linear and can be
well-approximated by a linear function is an important one that finds
wide application in calculus. For example, by approximating a function
with its local linearization, it is possible to develop an effective
algorithm to estimate the zeroes of a function. Local linearity also
helps us to make further sense of certain challenging limits. For
instance, we have seen that a limit such as
$$\lim_{x \to 0} \frac{\sin(x)}{x}$$
is indeterminate because both its numerator and denominator tend to 0.
While there is no algebra that we can do to simplify
$$\frac{\sin(x)}{x}$$, it is straightforward to show that the
linearization of $$f(x) = \sin(x)$$ at the point $$(0,0)$$ is given by
$$L(x) = x$$. Hence, for values of $$x$$ near 0, $$\sin(x) \approx x$$. As
such, for values of $$x$$ near 0,
$$\frac{\sin(x)}{x} \approx \frac{x}{x} = 1,$$
which makes plausible the fact that
$$\lim_{x \to 0} \frac{\sin(x)}{x} = 1.$$
These ideas and other applications of local linearity will be explored
later on in our work.
!!Summary
---
In this section, we encountered the following important ideas:
---
*The tangent line to a differentiable function $$y = f(x)$$ at the point $$(a,f(a))$$ is given in point-slope form by the equation
$$y - f(a) = f'(a)(x-a).$$
* The principle of local linearity tells us that if we zoom in on a point where a function $$y = f(x)$$ is differentiable, the function should become indistinguishable from its tangent line. That is, a differentiable function looks linear when viewed up close. We rename the tangent line to be the function $$y = L(x)$$ where $$L(x) = f(a) + f'(a)(x-a)$$ and note that $$f(x) \approx L(x)$$ for all $$x$$ near $$x = a$$.
* If we know the tangent line approximation $$L(x) = f(a) + f'(a)(x-a)$$, then because $$L(a) = f(a)$$ and $$L'(a) = f'(a)$$, we also know both the value and the derivative of the function $$y = f(x)$$ at the point where $$x = a$$. In other words, the linear approximation tells us the height and slope of the original function. If, in addition, we know the value of $$f''(a)$$, we then know whether the tangent line lies above or below the graph of $$y = f(x)$$ depending on the concavity of $$f$$.
{{1.8.TanLineApprox(Ex)}}
Understanding the Derivative {#C:1}
============================
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use the three rules above to determine the derivative of each of the following functions. For each, state your answer using full and proper notation, labeling the derivative with its name. For example, if you are given a function $$h(z)$$, you should write "$$h'(z) = $$" or "$$\frac{dh}{dz} = $$" as part of your response.
''c)'' $$h(w) = w^{3/4}$$
''d)'' $$p(x) = 3^{1/2}$$
''e)'' $$r(t) = (\sqrt{2})^t$$
''f)'' $$\frac{d}{dq}[q^{-1}]$$
''g)'' $$m(t) = \frac{1}{t^3}$$
Is $$\pi$$ a variable or a constant?
Is $$g$$ a power or exponential function?
Is $$h$$ a power or exponential function?
Is $$3^{1/2}$$ a constant or a variable?
$$\sqrt{2}$$ is a constant
Remember the notation here means “take the derivative with respect to
$$q$$ of $$q^{-1}$$.”
Rewrite the fraction using a negative exponent.
Note that $$\pi$$ is a constant.
Observe that $$g$$ an exponential function.
$$h$$ is a power function.
$$3^{1/2}$$ is a constant.
$$\sqrt{2}$$ is a constant, so $$r$$ is an exponential function.
Remember the notation here means “take the derivative with respect to
$$q$$ of $$q^{-1}$$.” Note that $$q{-1}$$ is a power function.
Recall that $$\frac{1}{t^3} = t^{-3}$$.
$$f(t) = \pi$$ is constant, so $$f'(t) = 0$$.
$$g(z) = 7^z$$ is an exponential function, so $$g'(z) = 7^z \ln(7)$$.
$$h(w) = w^{3/4}$$ is a power function, thus
$$h'(w) = \frac{3}{4} w^{-1/4}$$.
$$p(x) = 3^{1/2}$$ is constant, and therefore $$\frac{dp}{dx} = 0$$.
$$r(t) = (\sqrt{2})^t$$ is exponential (since $$\sqrt{2}$$ is a constant),
and so we have $$r'(t) = (\sqrt{2})^t \ln (\sqrt{2})$$.
$$\frac{d}{dq}[q^{-1}] = -q^{-2}$$, by the rule for power functions.
$$m(t) = \frac{1}{t^3} = t^{-3}$$, so
$$\frac{dm}{dt} = -3t^{-4} = -\frac{3}{t^4}$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use only the rules for constant, power, and exponential functions, together with the Constant Multiple and Sum Rules, to compute the derivative of each function below with respect to the given independent variable. Note well that we do not yet know any rules for how to differentiate the product or quotient of functions. This means that you may have to do some algebra first on the functions below before you can actually use existing rules to compute the desired derivative formula. In each case, label the derivative you calculate with its name using proper notation such as $f'(x)$, $h'(z)$, $dr/dt$, etc.
''a)'' $$f(x) = x^{5/3} - x^4 + 2^x$$
''b)'' $$g(x) = 14e^x + 3x^5 - x$$
''c)'' $$h(z) = \sqrt{z} + \frac{1}{z^4} + 5^z$$
''d)'' $$r(t) = \sqrt{53} \, t^7 - \pi e^t + e^4$$
''e)'' $$s(y) = (y^2 + 1)(y^2 - 1)$$
''f)'' $$q(x) = \frac{x^3 - x + 2}{x}$$
''g)'' $$p(a) = 3a^4 - 2a^3 + 7a^2 - a + 12$$
Use the sum rule together with the constant multiple rule.
How can you rewrite $$\sqrt{z}$$ using exponents?
Is $$e^4$$ a constant or variable?
Expand the product before attempting to find the derivative.
Rewrite the single fraction as a sum of three fractions, and simplify.
Note that “$$a$$” is the independent variable.
Use the sum rule; think about which functions in the sum are power
functions and which are exponential.
Use the sum rule together with the constant multiple rule. Note which
functions are exponential and which are powers of $$x$$.
Recall that $$\sqrt{z} = z^{1/2}$$; also rewrite $$\frac{1}{z^4}$$ as a
power of $$z$$.
Note that $$\sqrt{53}$$, $$\pi$$, and $$e^4$$ are all constants.
Expand the product and combine like terms before attempting to find the
derivative.
Rewrite the single fraction as a sum of three fractions, and simplify.
That is, note that
$$q(x) = \frac{x^3 - x + 2}{x} = \frac{x^3}{x} - \frac{x}{x} + \frac{2}{x}$$
Note that “$$a$$” is the independent variable and $$p(a)$$ is simply a
polynomial in $$a$$.
$$f(x) = x^{5/3} - x^4 + 2^x$$, so by the sum rule,
$$f'(x) = \frac{5}{3}x^{2/3} - 4 x^3 + 2^x \ln(2).$$
$$g(x) = 14e^x + 3x^5 - x$$, so by the sum and constant multiple rules,
$$g'(x) = 14e^x + 3 \cdot 5x^4 - 1$$.
$$h(z) = \sqrt{z} + \frac{1}{z^4} + 5^z = z^{1/2} + z^{-4} + 5^z$$, thus
$$h'(z) = \frac{1}{2}z^{-1/2} - 4z^{-5} + 5^z \ln(5)$$.
Since $$r(t) = \sqrt{53} \, t^7 - \pi e^t + e^4$$ and $$\sqrt{53}$$, $$\pi$$,
and $$e^4$$ are all constants, it follows from the sum and constant
multiple rules, as well as the derivative of a constant rule, that
$$\frac{dr}{dt} = \sqrt{53} \cdot 7 t^6 - \pi e^t$$. (Note particularly
that $$\frac{d}{dt}[e^4] = 0$$ since $$e^4$$ is constant.
$$s(y) = (y^2 + 1)(y^2 - 1)= y^4 - 1$$, thus $$\frac{ds}{dy} = 4y^3$$.
$$q(x) = \frac{x^3 - x + 2}{x} = \frac{x^3}{x} - \frac{x}{x} + \frac{2}{x} = x^2 - 1 + 2x^{-1}$$.
Now it follows that $$q'(x) = 2x - 2x^{-2}$$.
$$p(a) = 3a^4 - 2a^3 + 7a^2 - a + 12$$, so
$$p'(a) = 12a^3 - 6 a^2 + 14a - 1.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Each of the following questions asks you to use derivatives to answer
key questions about functions. Be sure to think carefully about each
question and to use proper notation in your responses.
''a)'' Find the slope of the tangent line to $$h(z) = \sqrt{z} + \frac{1}{z}$$ at
the point where $$z = 4$$.
''b)'' A population of cells is growing in such a way that its total number in
millions is given by the function $$P(t) = 2(1.37)^t + 32$$, where $$t$$ is
measured in days.
''i.'' Determine the instantaneous rate at which the population is growing on
day 4, and include units on your answer.
''ii.'' Is the population growing at an increasing rate or growing at a
decreasing rate on day 4? Explain.
''c)'' Find an equation for the tangent line to the curve
$$p(a) = 3a^4 - 2a^3 + 7a^2 - a + 12$$ at the point where $$a=-1$$.
''d)'' What is the difference between being asked to find the ''slope'' of the
tangent line (asked in (a)) and the ''equation'' of the tangent line
(asked in (c))?
How would $$h'(z)$$ help you answer the question?
Think about finding both $$P'(t)$$ and $$P''(t)$$.
What two important pieces of information do you need to know to
determine the equation of a line?
What information do you find in both (a) and (c)?
Remember that $$h'(a)$$ tells us the slope of the tangent line to
$$y = h(z)$$ at the point $$(a,h(a))$$.
Think about how the units on $$P'(t)$$ are the units of $$P$$ per unit of
$$t$$. For the second question, consider the meaning of $$P''(t)$$.
Find both $$(-1,p(-1))$$ and $$p'(-1)$$.
Note that both questions require you to find the value of the given
function’s derivative at a particular point. How is that value used
differently in questions (a) and (c)?
Note that since $$h(z) = z^{1/2} + z^{-1}$$, we have
$$h'(z) = \frac{1}{2}z^{-1/2} - z^{-2}$$. Thus,
$$h'(4) = \frac{1}{2(4)^{1/2}} - \frac{1}{4^2} = \frac{1}{4} - \frac{1}{16} = \frac{3}{16}.$$
Thus, the slope of the tangent line to $$h(z)$$ at the point where $$z = 4$$
is $$\frac{3}{16}$$.
For (i.), note that $$P'(t) = 2(1.37)^t \ln(1.37)$$, and therefore
$$P'(4) = 2(1.37)^4 \ln(1.37) \approx 2.218$$ million cells per day. For
(ii.), we can compute $$P''(t)$$ and find that
$$P''(t) = 2(1.37)^t \ln(1.37) \ln(1.37)$$ and therefore find that
$$P''(4) \approx 0.69825$$. Since $$P''(4)$$ is positive, this tells us
that the instantaneous rate of change $$P'(t)$$ is increasing at $$t = 4$$,
and thus the population is growing at an increasing rate.
Given $$p(a) = 3a^4 - 2a^3 + 7a^2 - a + 12$$, first observe that
$$p(-1) = 3 + 2 + 7 + 1 + 12 = 25$$, so the tangent line will pass through
$$(-1,25)$$. Further, since $$p'(a) = 12a^3 - 6a^2 + 14a - 1$$, we have
$$p'(-1) = -12 - 6 - 14 - 1 = -33$$, which is the slope of the tangent
line. The equation of the tangent line is therefore $$y - 25 = -33(a+1)$$.
The biggest difference is that (a) asks for the ''slope'' of the tangent
line, while (c) asks for the ''equation'' of the tangent line. The latter
requires the slope of the tangent line, but the slope and equation are
two different entities.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let $$f$$ and $$g$$ be differentiable functions for which the following
information is known: $$f(2) = 5$$, $$g(2) = -3$$, $$f'(2) = -1/2$$,
$$g'(2) = 2$$.
''a)'' Let $$h$$ be the new function defined by the rule $$h(x) = 3f(x) - 4g(x)$$.
Determine $$h(2)$$ and $$h'(2)$$.
''b)'' Find an equation for the tangent line to $$y = h(x)$$ at the point
$$(2,h(2))$$.
''c)'' Let $$p$$ be the function defined by the rule
$$p(x) = -2f(x) + \frac{1}{2}g(x)$$. Is $$p$$ increasing, decreasing, or
neither at $$a = 2$$? Why?
''d)'' Estimate the value of $$p(2.03)$$ by using the local linearization of $$p$$
at the point $$(2,p(2))$$.
''2.'' Let functions $$p$$ and $$q$$ be the piecewise linear functions given by
their respective graphs in <<figreference 2_1_Ez3.svg>>. Use the graphs to answer
the following questions.
''a)'' At what values of $$x$$ is $$p$$ not differentiable? At what values of $$x$$
is $$q$$ not differentiable? Why?
''b)'' Let $$r(x) = p(x) + 2q(x)$$. At what values of $$x$$ is $$r$$ not
differentiable? Why?
''c)'' Determine $$r'(-2)$$ and $$r'(0)$$.
''d)'' Find an equation for the tangent line to $$y = r(x)$$ at the point
$$(2,r(2))$$.
''3.'' Consider the functions $$r(t) = t^t$$ and $$s(t) = \arccos(t)$$, for which
you are given the facts that $$r'(t) = t^t(\ln(t) + 1)$$ and
$$s'(t) = -\frac{1}{\sqrt{1-t^2}}$$. Do not be concerned with where these
derivative formulas come from. We restrict our interest in both
functions to the domain $$0 < t < 1$$.
''a)'' Let $$w(t) = 3t^t - 2\arccos(t)$$. Determine $$w'(t)$$.
''b)'' Find an equation for the tangent line to $$y = w(t)$$ at the point
$$(\frac{1}{2}, w(\frac{1}{2}))$$.
''c)'' Let $$v(t) = t^t + \arccos(t)$$. Is $$v$$ increasing or decreasing at the
instant $$t = \frac{1}{2}$$? Why?
''4.'' Let $$f(x) = a^x$$. The goal of this problem is to explore how the value
of $$a$$ affects the derivative of $$f(x)$$, without assuming we know the
rule for $$\frac{d}{dx}[a^x]$$ that we have stated and used in earlier
work in this section.
''a)'' Use the limit definition of the derivative to show that
$$f'(x) = \lim_{h \to 0} \frac{a^x \cdot a^h - a^x}{h}.$$
''b)'' Explain why it is also true that
$$f'(x) = a^x \cdot \lim_{h \to 0} \frac{a^h - 1}{h}.$$
''c)'' Use computing technology and small values of $$h$$ to estimate the value
of $$L = \lim_{h \to 0} \frac{a^h - 1}{h}$$
when $$a = 2$$. Do likewise when $$a = 3$$.
''d)'' Note that it would be ideal if the value of the limit $$L$$ was $$1$$, for
then $$f$$ would be a particularly special function: its derivative would
be simply $$a^x$$, which would mean that its derivative is itself. By
experimenting with different values of $$a$$ between $$2$$ and $$3$$, try to
find a value for $$a$$ for which
$$L = \lim_{h \to 0} \frac{a^h - 1}{h} = 1.$$
''e)'' Compute $$\ln(2)$$ and $$\ln(3)$$. What does your work in (b) and (c)
suggest is true about $$\frac{d}{dx}[2^x]$$ and $$\frac{d}{dx}[3^x]$$.
''e)'' How do your investigations in (d) lead to a particularly important fact
about the number $$e$$?
What are alternate notations for the derivative?
How can we sometimes use the algebraic structure of a function $$f(x)$$ to
easily compute a formula for $$f'(x)$$?
What is the derivative of a power function of the form $$f(x) = x^n$$?
What is the derivative of an exponential function of form $$f(x) = a^x$$?
If we know the derivative of $$y = f(x)$$, how is the derivative of
$$y = k f(x)$$ computed, where $$k$$ is a constant?
If we know the derivatives of $$y = f(x)$$ and $$y = g(x)$$, how is the
derivative of $$y = f(x) + g(x)$$ computed?
In <<reference [[Chapter 1]]>>, we developed the concept of the derivative of a
function. We now know that the derivative $$f'$$ of a function $$f$$
measures the instantaneous rate of change of $$f$$ with respect to $$x$$ as
well as the slope of the tangent line to $$y=f(x)$$ at any given value of
$$x$$. To date, we have focused primarily on interpreting the derivative
graphically or, in the context of functions in a physical setting, as a
meaningful rate of change. To actually calculate the value of the
derivative at a specific point, we have typically relied on the limit
definition of the derivative.
In this present chapter, we will investigate how the limit definition of
the derivative,
$$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h},$$
leads to interesting patterns and rules that enable us to quickly find a
formula for $$f'(x)$$ based on the formula for $$f(x)$$ ''without'' using the
limit definition directly. For example, we already know that if
$$f(x) = x$$, then it follows that $$f'(x) = 1$$. While we could use the
limit definition of the derivative to confirm this, we know it to be
true because $$f(x)$$ is a linear function with slope 1 at every value of
$$x$$. One of our goals is to be able to take standard functions, say ones
such as $$g(x) = 4x^7 - \sin(x) + 3e^x$$, and, based on the algebraic form
of the function, be able to apply shortcuts to almost immediately
determine the formula for $$g'(x)$$.
In addition to our usual $$f'$$ notation for the derivative, there are
other ways to symbolically denote the derivative of a function, as well
as the instruction to take the derivative. We know that if we have a
function, say $$f(x) = x^2$$, that we can denote its derivative by
$$f'(x)$$, and we write $$f'(x) = 2x$$. Equivalently, if we are thinking
more about the relationship between $$y$$ and $$x$$, we sometimes denote the
derivative of $$y$$ with respect to $$x$$ with the symbol
which we read “dee-y dee-x.” This notation comes from the fact that the
derivative is related to the slope of a line, and slope is measured by
$$\frac{\triangle y}{\triangle x}$$. Note that while we read
$$\frac{\triangle y}{\triangle x}$$ as “change in $$y$$ over change in $$x$$,”
for the derivative symbol $$\frac{dy}{dx}$$, we view this is a single
symbol, not a quotient of two quantities <<footnote "[2]" "That is, we do ''not'' say 'dee-y over dee-x.'">>. For example, if $$y = x^2$$,
we’ll write that the derivative is $$\frac{dy}{dx} = 2x.$$
Furthermore, we use a variant of $$\frac{dy}{dx}$$ notation to convey the
instruction to take the derivative of a certain quantity with respect to
a given variable. In particular, if we write
this means “take the derivative of the quantity in [ ] with respect
to $$x$$.” To continue our example above with the squaring function, here
we may write $$\frac{d}{dx}[x^2] = 2x.$$
It is important to note that the independent variable can be different
from $$x$$. If we have $$f(z) = z^2$$, we then write $$f'(z) = 2z$$.
Similarly, if $$y = t^2$$, we can say $$\frac{dy}{dt} = 2t$$. And changing
the variable and derivative notation once more, it is also true that
$$\frac{d}{dq}[q^2] = 2q$$.
This notation may also be applied to second
derivatives:
$$f''(z) = \frac{d}{dz}\left[\frac{df}{dz}\right] = \frac{d^2 f}{dz^2}$$.
In what follows, we’ll be working to widely expand our repertoire of
functions for which we can quickly compute the corresponding derivative
formula
!!Constant, Power, and Exponential Functions
So far, we know the derivative formula for two important classes of
functions: constant functions and power functions. For the first kind,
observe that if $$f(x) = c$$ is a constant function, then its graph is a
horizontal line with slope zero at every point. Thus,
$$\frac{d}{dx}[c] = 0$$. We summarize this with the following rule.
<table style="width:100%">
''Constant Functions:'' For any real number $$c$$, if $$f (x) = c$$, then $$ f' (x) = 0$$.
Thus, if $$f(x) = 7$$, then $$f'(x) = 0$$. Similarly,
$$\frac{d}{dx} [\sqrt{3}] = 0.$$
For power functions, from your work in <<reference 2.1.PA1>>, you
have conjectured that for any positive integer $$n$$, if $$f(x) = x^n$$,
then $$f'(x) = nx^{n-1}$$. Not only can this rule be formally proved to
hold for any positive integer $$n$$, but also for any nonzero real number
(positive or negative).
<table style="width:100%">
''Power Functions:'' For any nonzero real number, if f (x) = xn, then f ′(x) = nxn−1.
This rule for power functions allows us to find derivatives such as the
following: if $$g(z) = z^{-3}$$, then $$g'(z) = -3z^{-4}$$. Similarly, if
$$h(t) = t^{7/5}$$, then $$\frac{dh}{dt} = \frac{7}{5}t^{2/5}$$; likewise,
$$\frac{d}{dq} [q^{\pi}] = \pi q^{\pi - 1}$$.
As we next turn to thinking about derivatives of combinations of basic
functions, it will be instructive to have one more type of basic
function whose derivative formula we know. For now, we simply state this
rule without explanation or justification; we will explore why this rule
is true in one of the exercises at the end of this section, plus we will
encounter graphical reasoning for why the rule is plausible in
<<reference 2.2.PA1>>.
<table style="width:100%">
''Exponential Functions:'' For any positive real number a, if $$f (x) = ax$$ , then $$f'(x) = ax ln(a)$$.
For instance, this rule tells us that if $$f(x) = 2^x$$, then
$$f'(x) = 2^x \ln(2)$$. Similarly, for $$p(t) = 10^t$$,
$$p'(t) = 10^t \ln(10)$$. It is especially important to note that when
$$a = e$$, where $$e$$ is the base of the natural logarithm function, we
have that
$$\frac{d}{dx} [e^x] = e^x \ln(e) = e^x$$
since $$\ln(e) = 1$$. This is an extremely important property of the
function $$e^x$$: its derivative function is itself!
Finally, note carefully the distinction between power functions and
exponential functions: in power functions, the variable is in the base,
as in $$x^2$$, while in exponential functions, the variable is in the
power, as in $$2^x$$. As we can see from the rules, this makes a big
difference in the form of the derivative.
The following activity will check your understanding of the derivatives
of the three basic types of functions noted above.
!!Constant Multiples and Sums of Functions
Of course, most of the functions we encounter in mathematics are more
complicated than being simply constant, a power of a variable, or a base
raised to a variable power. In this section and several following, we
will learn how to quickly compute the derivative of a function
constructed as an algebraic combination of basic functions. For
instance, we’d like to be able to understand how to take the derivative
of a polynomial function such as $$p(t) = 3t^5 - 7t^4 + t^2 - 9$$, which
is a function made up of constant multiples and sums of powers of $$t$$.
To that end, we develop two new rules: the Constant Multiple Rule and
the Sum Rule.
Say we have a function $$y = f(x)$$ whose derivative formula is known. How
is the derivative of $$y = kf(x)$$ related to the derivative of the
original function? Recall that when we multiply a function by a constant
$$k$$, we vertically stretch the graph by a factor of $$|k|$$ (and reflect
the graph across $$y = 0$$ if $$k < 0$$). This vertical stretch affects the
slope of the graph, making the slope of the function $$y = kf(x)$$ be $$k$$
times as steep as the slope of $$y = f(x)$$. In terms of the derivative,
this is essentially saying that when we multiply a function by a factor
of $$k$$, we change the value of its derivative by a factor of $$k$$ as
well. Thus <<footnote "[2]" "The Constant Multiple Rule can be formally proved as a consequence
of properties of limits, using the limit definition of the
derivative." >>, the Constant Multiple Rule holds:
<table style="width:100%">
''The Constant Multiple Rule:'' For any real number $$k$$, if $$f(x)$$ is a differentiable
function with derivative $$f'(x)$$, then $$d [k f (x)] = k f'(x)$$.
In words, this rule says that “the derivative of a constant times a
function is the constant times the derivative of the function.” For
example, if $$g(t) = 3 \cdot 5^t$$, we have $$g'(t) = 3 \cdot 5^t \ln(5)$$.
Similarly, $$\frac{d}{dz} [5z^{-2}] = 5 (-2z^{-3})$$.
Next we examine what happens when we take a sum of two functions. If we
have $$y = f(x)$$ and $$y = g(x)$$, we can compute a new function
$$y = (f+g)(x)$$ by adding the outputs of the two functions:
$$(f+g)(x) = f(x) + g(x)$$. Not only does this result in the value of the
new function being the sum of the values of the two known functions, but
also the slope of the new function is the sum of the slopes of the known
functions. Therefore <<footnote [3] "Like the Constant Multiple Rule, the Sum Rule can be formally
proved as a consequence of properties of limits, using the limit
definition of the derivative.">>, we arrive at the following Sum Rule for
derivatives:
<table style="width:100%">
''The Sum Rule:'' If $$f (x)$$ and $$g(x)$$ are differentiable functions with derivatives $$f'(x)$$
and $$g'(x)$$ respectively, then $$d [ f (x) + g(x)] = f'(x) + g'(x)$$
In words, the Sum Rule tells us that “the derivative of a sum is the sum
of the derivatives.” It also tells us that any time we take a sum of two
differentiable functions, the result must also be differentiable.
Furthermore, because we can view the difference function
$$y = (f-g)(x) = f(x) - g(x)$$ as $$y = f(x) + (-1 \cdot g(x))$$, the Sum
Rule and Constant Multiple Rules together tell us that
$$\frac{d}{dx}[f(x) + (-1 \cdot g(x))] = f'(x) - g'(x)$$, or that “the
derivative of a difference is the difference of the derivatives.” Hence
we can now compute derivatives of sums and differences of elementary
functions. For instance, $$\frac{d}{dw} (2^w + w^2) = 2^w \ln(2) + 2w$$,
and if $$h(q) = 3q^6 - 4q^{-3}$$, then
$$h'(q) = 3 (6q^5) - 4(-3q^{-4}) = 18q^5 + 12q^{-4}$$.
In the same way that we have shortcut rules to help us find derivatives,
we introduce some language that is simpler and shorter. Often, rather
than say “take the derivative of $$f$$,” we’ll instead say simply
“differentiate $$f$$.” This phrasing is tied to the notion of having a
derivative to begin with: if the derivative exists at a point, we say
“$$f$$ is differentiable,” which is tied to the fact that $$f$$ can be
differentiated.
As we work more and more with the algebraic structure of functions, it
is important to strive to develop a big picture view of what we are
doing. Here, we can note several general observations based on the rules
we have so far. One is that the derivative of any polynomial function
will be another polynomial function, and that the degree of the
derivative is one less than the degree of the original function. For
instance, if $$p(t) = 7t^5 - 4t^3 + 8t$$, $$p$$ is a degree 5 polynomial,
and its derivative, $$p'(t) = 35t^4 - 12t^2 + 8$$, is a degree 4
polynomial. Additionally, the derivative of any exponential function is
another exponential function: for example, if $$g(z) = 7 \cdot 2^z$$, then
$$g'(z) = 7 \cdot 2^z \ln(2)$$, which is also exponential.
Furthermore, while our current emphasis is on learning shortcut rules
for finding derivatives without directly using the limit definition, we
should be certain not to lose sight of the fact that all of the meaning
of the derivative still holds that we developed in <<reference [[Chapter 1]]>>. That
is, anytime we compute a derivative, that derivative measures the
instantaneous rate of change of the original function, as well as the
slope of the tangent line at any selected point on the curve. The
following activity asks you to combine the just-developed derivative
rules with some key perspectives that we studied in <<reference [[Chapter 1]]>>.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Given a differentiable function $$y = f(x)$$, we can express the derivative of $$f$$ in several different notations: $$f'(x)$$, $$\frac{df}{dx}$$, $$\frac{dy}{dx}$$, and $$\frac{d}{dx}[f(x)]$$.
* The limit definition of the derivative leads to patterns among certain families of functions that enable us to compute derivative formulas without resorting directly to the limit definition. For example, if $$f$$ is a power function of the form $$f(x) = x^n$$, then $$f'(x) = nx^{n-1}$$ for any real number $$n$$ other than 0. This is called the Rule for Power Functions.
* We have stated a rule for derivatives of exponential functions in the same spirit as the rule for power functions: for any positive real number $$a$$, if $$f(x) = a^x$$, then $$f'(x) = a^x \ln(a)$$.
* If we are given a constant multiple of a function whose derivative we know, or a sum of functions whose derivatives we know, the Constant Multiple and Sum Rules make it straightforward to compute the derivative of the overall function. More formally, if $$f(x)$$ and $$g(x)$$ are differentiable with derivatives $$f'(x)$$ and $$g'(x)$$ and $$a$$ and $$b$$ are constants, then $$\frac{d}{dx} \left[af(x) + bg(x)\right] = af'(x) + bg'(x).$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Functions of the form $$f(x) = x^n$$, where $$n = 1, 2, 3, \ldots$$, are
often called ''power functions''. The first two questions below revisit
work we did earlier in <<reference [[Chapter 1]]>>, and the following questions extend
those ideas to higher powers of $$x$$.
''a)'' Use the limit definition of the derivative to find $$f'(x)$$ for
$$f(x) = x^2$$.
''b)'' Use the limit definition of the derivative to find $$f'(x)$$ for
$$f(x) = x^3$$.
''c)'' Use the limit definition of the derivative to find $$f'(x)$$ for
$$f(x) = x^4$$. (Hint: $$(a+b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4$$.
Apply this rule to $$(x+h)^4$$ within the limit definition.)
''d)'' Based on your work in (a), (b), and (c), what do you conjecture is the
derivative of $$f(x) = x^5$$? Of $$f(x) = x^{13}$$?
''e)'' Conjecture a formula for the derivative of $$f(x) = x^n$$ that holds for
any positive integer $$n$$. That is, given $$f(x) = x^n$$ where $$n$$ is a
positive integer, what do you think is the formula for $$f'(x)$$?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the function $$f(x) = \sin(x)$$, which is graphed in <<figreference 2_2_sine.svg>> below. Note carefully that the grid in the diagram does not have boxes that are $1 \times 1$, but rather approximately $1.57 \times 1$, as the horizontal scale of the grid is $\pi/2$ units per box.
\ba
''a)'' At each of
$$x = -2\pi, -\frac{3\pi}{2}, -\pi, -\frac{\pi}{2}, 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi,$$
use a straightedge to sketch an accurate tangent line to $$y = f(x)$$.
''b)'' Use the provided grid to estimate the slope of the tangent line you drew
at each point. Pay careful attention to the scale of the grid.
''c)'' Use the limit definition of the derivative to estimate $$f'(0)$$ by using
small values of $$h$$, and compare the result to your visual estimate for
the slope of the tangent line to $$y = f(x)$$ at $$x = 0$$ in (b). Using
periodicity, what does this result suggest about $$f'(2\pi)$$? about
$$f'(-2\pi)$$?
''d)'' Based on your work in (a), (b), and (c), sketch an accurate graph of
$$y = f'(x)$$ on the axes adjacent to the graph of $$y = f(x)$$.
''e)'' What familiar function do you think is the derivative of
$$f(x) = \sin(x)$$?
It’s very important to use a straightedge for accuracy.
First determine the slopes that appear to be zero. Then estimate $$f'(0)$$
carefully using the grid. Use symmetry and periodicity to help you
estimate other nonzero slopes on the graph.
$$f'(0) \approx \frac{\sin(h)}{h}$$ for small values of $$h$$.
Recall that heights on $$f'$$ come from slopes on $$f$$.
It might be reasonable to expect that the derivative of a trigonometric
function is another trigonometric function.
It’s very important to use a straightedge for accuracy.
$$f'(0) \approx 1$$, as for each grid box we move horizontally, we go up
about 1.5 grid boxes.
$$f'(0) \approx \frac{\sin(h)}{h}$$ for small values of $$h$$. Try using
$$h = 0.001$$ and $$h = -.001$$.
Recall that heights on $$f'$$ come from slopes on $$f$$. From your earlier
work, you should know several places $$f'(x) = 0$$, plus that
$$f'(0) \approx 1$$. Plot these values on the grid for $$y = f'(x)$$.
It might be reasonable to expect that the derivative of a trigonometric
function is another trigonometric function, or possibly some multiple of
such a function.
Reading left to right from $$-2\pi, \ldots, 2\pi$$ with stepsize $$\pi/2$$,
the respective slopes of tangent lines appear to be
$$1,0,-1,0,1,0,-1,0,1$$.
From the limit definition,
Because we cannot simplify the fraction $$\frac{\sin(h)}{h}$$ any further
algebraically, we estimate the value of the limit using small values of
$$h$$. Doing so, it appears that $$\lim_{h \to 0} \frac{\sin(h)}{h} = 1$$,
and thus $$f'(0) = 1$$. This matches the estimate generated visually by
sketching the tangent line at $$(0,f(0))$$. Finally, by the periodicity of
the sine function, we expect the value of the derivative at 0 to match
the derivative value at $$-2\pi$$ and $$2\pi$$.
See the figure below.
It appears that $$\frac{d}{dx}[\sin(x)] = \cos(x)$$.
<<figure 2_2_sineSoln.svg>>
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the function $$g(x) = \cos(x)$$, which is graphed in <<figreference 2_2_cosine.svg>> below. Note carefully that the grid in the diagram does not have boxes that are $$1 \times 1$$, but rather approximately $$1.57 \times 1$$, as the horizontal scale of the grid is $$\pi/2$$ units per box.
<<figure 2_2_cosine.svg>>
''a)'' At each of
$$x = -2\pi, -\frac{3\pi}{2}, -\pi, -\frac{\pi}{2}, 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi,$$
use a straightedge to sketch an accurate tangent line to $$y = g(x)$$.
''b)'' Use the provided grid to estimate the slope of the tangent line you drew
at each point. Again, note the scale of the axes and grid.
''c)'' Use the limit definition of the derivative to estimate
$$g'(\frac{\pi}{2})$$ by using small values of $$h$$, and compare the result
to your visual estimate for the slope of the tangent line to $$y = g(x)$$
at $$x = \frac{\pi}{2}$$ in (b). Using periodicity, what does this result
suggest about $$g'(-\frac{3\pi}{2})$$? can symmetry on the graph help you
estimate other slopes easily?
''d)'' Based on your work in (a), (b), and (c), sketch an accurate graph of
$$y = g'(x)$$ on the axes adjacent to the graph of $$y = g(x)$$.
''e)'' What familiar function do you think is the derivative of
$$g(x) = \cos(x)$$?
It’s very important to use a straightedge for accuracy.
First determine the slopes that appear to be zero. Then estimate
$$g'(\frac{\pi}{2})$$ carefully using the grid. Use symmetry and
periodicity to help you estimate other nonzero slopes on the graph.
$$g'(\frac{\pi}{2}) \approx \frac{\cos(\frac{\pi}{2}+h)}{h}$$ for small
values of $$h$$.
Recall that heights on $$g'$$ come from slopes on $$g$$.
It might be reasonable to expect that the derivative of a trigonometric
function is another trigonometric function.
It’s very important to use a straightedge for accuracy.
$$g'(\frac{\pi}{2}) \approx -1$$, as for each grid box we move
horizontally, we go down about 1.5 grid boxes.
$$g'(\frac{\pi}{2}) \approx \frac{\cos(\frac{\pi}{2}+h)}{h}$$ for small
values of $$h$$. Try using $$h = 0.001$$ and $$h = -.001$$.
Recall that heights on $$g'$$ come from slopes on $$g$$. From your earlier
work, you should know several places $$g'(x) = 0$$, plus that
$$g'(0) \approx 1$$. Plot these values on the grid for $$y = g'(x)$$.
It might be reasonable to expect that the derivative of a trigonometric
function is another trigonometric function, or possibly some multiple of
such a function.
Reading left to right from $$-2\pi, \ldots, 2\pi$$ with stepsize $$\pi/2$$,
the respective slopes of tangent lines appear to be
$$0,-1,0,1,0,-1,0,1,0$$.
From the limit definition,
Because we cannot simplify the fraction
$$\frac{\cos(\frac{\pi}{2}+h)}{h}$$ any further algebraically, we estimate
the value of the limit using small values of $$h$$. Doing so, it appears
that $$\lim_{h \to 0} \frac{\cos(\frac{\pi}{2}+h)}{h} = -1$$, and thus
$$g'(\frac{\pi}{2}) = -1$$. This matches the estimate generated visually
by sketching the tangent line at $$(\frac{\pi}{2},g(\frac{\pi}{2}))$$.
Finally, by the periodicity of the sine function, we expect the value of
the derivative at $$\frac{\pi}{2}$$ to match the derivative value at
$$-\frac{3\pi}{2}$$.
See the figure below.
It appears that $$\frac{d}{dx}[\cos(x)] = -\sin(x)$$.
<<figure 2_2_cosineSoln.svg>>
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Answer each of the following questions. Where a derivative is requested, be sure to label the derivative function with its name using proper notation.
''a)'' Determine the derivative of $$h(t) = 3\cos(t) - 4\sin(t)$$.
''b)'' Find the exact slope of the tangent line to
$$y = f(x) = 2x + \frac{\sin(x)}{2}$$ at the point where
$$x = \frac{\pi}{6}$$.
''c)'' Find the equation of the tangent line to $$y = g(x) = x^2 + 2\cos(x)$$ at
the point where $$x = \frac{\pi}{2}$$.
''d)'' Determine the derivative of
$$p(z) = z^4 + 4^z + 4\cos(z) - \sin(\frac{\pi}{2})$$.
''e)'' The function $$P(t) = 24 + 8\sin(t)$$ represents a population of a
particular kind of animal that lives on a small island, where $$P$$ is
measured in hundreds and $$t$$ is measured in decades since January 1,
2010. What is the instantaneous rate of change of $$P$$ on January 1,
2030? What are the units of this quantity? Write a sentence in everyday
language that explains how the population is behaving at this point in
time.
Recall the constant multiple and sum rules.
$$f'(\frac{\pi}{6})$$ tells us the slope of the tangent line at
$$(\frac{\pi}{6},\frac{\pi}{6})$$.
Find both $$(\frac{\pi}{2}, g(\frac{\pi}{2}))$$ and $$g'(\frac{\pi}{2})$$.
$$\sin(\frac{\pi}{2})$$ is a constant.
$$P'(a)$$ tells us the instantaneous rate of change of $$P$$ with respect to
time at the instant $$t = a$$, and its units are “units of $$P$$ per unit of
time.”
Recall the constant multiple and sum rules.
$$f'(a)$$ tells us the slope of the tangent line at $$(a,f(a))$$.
Find both a point on the tangent line and the slope of the tangent line.
$$\sin(\frac{\pi}{2})$$ is a constant.
$$P'(a)$$ tells us the instantaneous rate of change of $$P$$ with respect to
time at the instant $$t = a$$.
By the sum and constant multiple rules,
$$\frac{dh}{dt} = 3(-\sin(t)) - 4(\cos(t)) = -3\sin(t) - 4\cos(t)$$.
The exact slope of the tangent line to
$$y = f(x) = 2x + \frac{\sin(x)}{2}$$ at $$x = \frac{\pi}{6}$$ is given by
$$f'(\frac{\pi}{6})$$. So, we first compute $$f'(x)$$. Using the sum and
constant multiple rules, $$f'(x) = 2 + \frac{1}{2}\cos(x)$$, and thus
$$f'(\frac{\pi}{6}) = 2 + \frac{1}{2} \cos(\frac{\pi}{6}) = 2 + \frac{\sqrt{3}}{4}.$$
The tangent line passes through the point
$$(\frac{\pi}{2}, g(\frac{\pi}{2}))$$ with slope $$g'(\frac{\pi}{2})$$. We
observe first that
$$g(\frac{\pi}{2}) = (\frac{\pi}{2})^2 + 2\cos(\frac{\pi}{2}) = \frac{\pi^2}{4}$$.
Next, we compute the derivative function, $$g'(x)$$, and find that
$$g'(x) = 2x - 2\sin(x).$$
Thus,
$$g(\frac{\pi}{2}) = 2 \cdot \frac{\pi}{2} - 2 \sin(\frac{\pi}{2}) = \pi - 1$$.
Hence the equation of the tangent line (in point-slope form) is given by
$$y - \frac{\pi^2}{4} = (\pi-1)(x-\frac{\pi}{2}).$$
Noting that $$\sin(\frac{\pi}{2})$$ is a constant, we have
$$p'(z) = 4z^3 + 4^z \ln(4) - 4\sin(z)$$.
The value of $$P'(2)$$ will tell us the instantaneous rate of change of
$$P$$ at the instant two decades have elapsed. Observe that
$$P'(t) = 8\cos(t)$$, and thus $$P'(2) = 8\cos(2) \approx -3.329$$ hundred
animals per decade. This tells us that the instantaneous rate of change
of $$P$$ on January 1, 2030 is about $$-3329$$ animals per decade, which
tells us that the animal population is shrinking considerably at this
point in time. We might say that for whatever the population is on
January 1, 2030, we expect that population to drop by about 3300 animals
over the next ten years, provided the current population trend
continues.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$g(x) = 2^x$$, which is graphed in
<<figreference 2_2_PA1a.svg>>.
''a)'' At each of $$x = -2, -1, 0, 1, 2$$, use a straightedge to sketch an
accurate tangent line to $$y = g(x)$$.
''b)'' Use the provided grid to estimate the slope of the tangent line you drew
at each point in (a).
''c)'' Use the limit definition of the derivative to estimate $$g'(0)$$ by using
small values of $$h$$, and compare the result to your visual estimate for
the slope of the tangent line to $$y = g(x)$$ at $$x = 0$$ in (b).
''d)'' Based on your work in (a), (b), and (c), sketch an accurate graph of
$$y = g'(x)$$ on the axes adjacent to the graph of $$y = g(x)$$.
''e)'' Write at least one sentence that explains why it is reasonable to think
that $$g'(x) = cg(x)$$, where $$c$$ is a constant. In addition, calculate
$$\ln(2)$$, and then discuss how this value, combined with your work
above, reasonably suggests that $$g'(x) = 2^x \ln(2)$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Suppose that $$V(t) = 24 \cdot 1.07^t + 6 \sin(t)$$ represents the value
of a person’s investment portfolio in thousands of dollars in year $$t$$,
where $$t = 0$$ corresponds to January 1, 2010.
''a)'' At what instantaneous rate is the portfolio’s value changing on January
1, 2012? Include units on your answer.
''b)'' Determine the value of $$V''(2)$$. What are the units on this quantity and
what does it tell you about how the portfolio’s value is changing?
''c)'' On the interval $$0 \le t \le 20$$, graph the function
$$V(t) = 24 \cdot 1.07^t + 6 \sin(t)$$ and describe its behavior in the
context of the problem. Then, compare the graphs of the functions
$$A(t) = 24 \cdot 1.07^t$$ and $$V(t) = 24 \cdot 1.07^t + 6 \sin(t)$$, as
well as the graphs of their derivatives $$A'(t)$$ and $$V'(t)$$. What is the
impact of the term $$6 \sin(t)$$ on the behavior of the function $$V(t)$$?
''2.'' Let $$f(x) = 3\cos(x) - 2\sin(x) + 6$$.
''a)'' Determine the exact slope of the tangent line to $$y = f(x)$$ at the point
where $$a = \frac{\pi}{4}$$.
''b)'' Determine the tangent line approximation to $$y = f(x)$$ at the point
where $$a = \pi$$.
''c)'' At the point where $$a = \frac{\pi}{2}$$, is $$f$$ increasing, decreasing,
or neither?
''d)'' At the point where $$a = \frac{3\pi}{2}$$, does the tangent line to
$$y = f(x)$$ lie above the curve, below the curve, or neither? How can you
answer this question without even graphing the function or the tangent
line?
''3.'' In this exercise, we explore how the limit definition of the derivative
more formally shows that $$\frac{d}{dx}[\sin(x)] = \cos(x)$$. Letting
$$f(x) = \sin(x)$$, note that the limit definition of the derivative tells
us that
$$f'(x) = \lim_{h \to 0} \frac{\sin(x+h) - \sin(x)}{h}.$$
''a)'' Recall the trigonometric identity for the sine of a sum of angles
$$\alpha$$ and $$\beta$$:\
$$\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$$.
Use this identity and some algebra to show that
$$f'(x) = \lim_{h \to 0} \frac{\sin(x)(\cos(h)-1) + \cos(x)\sin(h)}{h}.$$
''b)'' Next, note that as $$h$$ changes, $$x$$ remains constant. Explain why it
therefore makes sense to say that
$$f'(x) = \sin(x) \cdot \lim_{h \to 0} \frac{\cos(h) -1 }{h} + \cos(x) \cdot \lim_{h \to 0} \frac{\sin(h)}{h}.$$
''c)'' Finally, use small values of $$h$$ to estimate the values of the two
limits in (c):
$$\lim_{h \to 0} \frac{\cos(h) - 1}{h} \ \ {and} \ \ \lim_{h \to 0} \frac{\sin(h)}{h}.$$
''d)'' What do your results in (c) thus tell you about $$f'(x)$$?
''e)'' By emulating the steps taken above, use the limit definition of the
derivative to argue convincingly that
$$\frac{d}{dx}[\cos(x)] = -\sin(x).$$
What is a graphical justification for why
$$\frac{d}{dx}[a^x] = a^x \ln(a)$$?
What do the graphs of $$y = \sin(x)$$ and $$y = \cos(x)$$ suggest as
formulas for their respective derivatives?
Once we know the derivatives of $$\sin(x)$$ and $$\cos(x)$$, how do previous
derivative rules work when these functions are involved?
Throughout Chapter [C:2], we will be working to develop shortcut
derivative rules that will help us to bypass the limit definition of the
derivative in order to quickly determine the formula for $$f'(x)$$ when we
are given a formula for $$f(x)$$. In <<reference 2.1.ElemRules>>, we learned
the rule for power functions, that if $$f(x) = x^n$$, then
$$f'(x) = nx^{n-1}$$, and justified this in part due to results from
different $$n$$-values when applying the limit definition of the
derivative. We also stated the rule for exponential functions, that if
$$a$$ is a positive real number annd $$f(x) = a^x$$, then
$$f'(x) = a^x \ln(a)$$. Later in this present section, we are going to
work to conjecture formulas for the sine and cosine functions, primarily
through a graphical argument. To help set the stage for doing so, the
following preview activity asks you to think about exponential functions
and why it is reasonable to think that the derivative of an exponential
function is a constant times the exponential function itself.
!!The sine and cosine functions
The sine and cosine functions are among the most important functions in
all of mathematics. Sometimes called the ''circular'' functions due to
their genesis in the unit circle, these periodic functions play a key role in modeling repeating
phenomena such as the location of a point on a bicycle tire, the
behavior of an oscillating mass attached to a spring, tidal elevations,
and more. Like polynomial and exponential functions, the sine and cosine
functions are considered basic functions, ones that are often used in
the building of more complicated functions. As such, we would like to
know formulas for $$\frac{d}{dx} [\sin(x)]$$ and $$\frac{d}{dx} [\cos(x)]$$,
and the next two activities lead us to that end.
The results of the two preceding activities suggest that the sine and
cosine functions not only have the beautiful interrelationships that are
learned in a course in trigonometry – connections such as the identities
$$\sin^2(x) + \cos^2(x) = 1$$ and $$\cos(x - \frac{\pi}{2}) = \sin(x)$$ –
but that they are even further linked through calculus, as the
derivative of each involves the other. The following rules summarize the
results of the activities<<footnote "[1]" "These two rules may be formally proved using the limit definition
of the derivative and the expansion identities for {{sin(x+h)}} and
{{cos(x+h)}}.">>
<table width="100%">
''Sine and Cosine Functions:'' For all real numbers
$$x$$,
$$\frac{d}{dx} [\sin(x)] = \cos(x)$$ and $$\frac{d}{dx} [\cos(x)] = -\sin(x)$$
We have now added two additional functions to our library of basic
functions whose derivatives we know: power functions, exponential
functions, and the sine and cosine functions. The constant multiple and
sum rules still hold, of course, and all of the inherent meaning of the
derivative persists, regardless of the functions that are used to
constitute a given choice of $$f(x)$$. The following activity puts our new
knowledge of the derivatives of $$\sin(x)$$ and $$\cos(x)$$ to work.
!!Summary
---
In this section, we encountered the following important ideas:
---
* If we consider the graph of an exponential function $$f(x) = a^x$$ (where $$a > 1$$), the graph of $$f'(x)$$ behaves similarly, appearing exponential and as a possibly scaled version of the original function $$a^x$$. For $$f(x) = 2^x$$, careful analysis of the graph and its slopes suggests that $$\frac{d}{dx}[2^x] = 2^x \ln(2)$$, which is a special case of the rule we stated in Section [S:2.1.ElemRules].
* By carefully analyzing the graphs of $$y = \sin(x)$$ and $$y = \cos(x)$$, plus using the limit definition of the derivative at select points, we found that $$\frac{d}{dx} [\sin(x)] = \cos(x)$$ and $$\frac{d}{dx} [\cos(x)] = -\sin(x)$$.
* We note that all previously encountered derivative rules still hold, but now may also be applied to functions involving the sine and cosine, plus all of the established meaning of the derivative applies to these trigonometric functions as well.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
''a)'' Let $$m(w)=3w^{17} 4^w$$. Find $$m'(w)$$.
''b)'' Let $$h(t) = (\sin(t) + \cos(t))t^4$$. Find $$h'(t)$$.
''c)'' Determine the slope of the tangent line to the curve $$y = f(x)$$ at the
point where $$a = 1$$ if $$f$$ is given by the rule $$f(x) = e^x \sin(x)$$.
''d)'' Find the tangent line approximation $$L(x)$$ to the function $$y = g(x)$$ at
the point where $$a = -1$$ if $$g$$ is given by the rule
$$g(x) = (x^2 + x) 2^x$$.
Let the first function be $$3w^{17}$$.
Let the first function be $$(\sin(t) + \cos(t))$$.
Remember that the slope of the tangent line to $$y = f(x)$$ at $$(a,f(a))$$
is given by $$f'(a)$$.
Remember that $$L(x) = g(a) + g'(a)(x-a).$$
Let the first function be $$3w^{17}$$ and the second function be $$4^w$$.
Let the first function be $$(\sin(t) + \cos(t))$$ and the second function
be $$t^4$$.
Remember that the slope of the tangent line to $$y = f(x)$$ at $$(a,f(a))$$
is given by $$f'(a)$$.
Remember that $$L(x) = g(a) + g'(a)(x-a).$$ In differentiating $$g$$, let
the first function be $$(x^2 + x)$$.
$$m'(w) = 3w^{17} \cdot 4^w \ln(4) + 4^w \cdot 3w^17.$$
By the product rule,
$$h'(t) = (\sin(t) + \cos(t)) \cdot 4t^3 + t^4 \cdot (\cos(t) - \sin(t)).$$
To determine the slope of the tangent line at $$a = 1$$, we want to find
$$f'(1)$$. Since $$f(x) = e^x \sin(x)$$, the product rule tells us that
$$f'(x) = e^x \cdot \cos(x) + \sin(x) \cdot e^x$$. Thus,
$$f'(1) = e^1 \cdot \cos(1) + \sin(1) \cdot e^1 = e(\cos(1) + \sin(1)) \approx 3.756$$.
First, observe that $$g(-1) = ((-1)^2 - 1) \cdot 2^{-1} = 0$$. Further, by
the product rule,
$$g'(x) = (x^2 + x) \cdot 2^x \ln(2) + 2^x \cdot (2x + 1)$$, and therefore
$$g'(-1) = ((-1)^2 - 1) \cdot 2^{-1} \ln(2) + 2^{-1} \cdot (2(-1) + 1) = 0 + \frac{1}{2}(-1) = -\frac{1}{2}.$$
Therefore,
$$L(x) = g(-1) + g'(-1)(x+1) = 0 - \frac{1}{2}(x+1) = -\frac{1}{2}(x+1).$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
That is, if you’re given a formula for $$f(x)$$, clearly label the formula
you find for $$f'(x)$$. It is not necessary to algebraically simplify any
of the derivatives you compute.
''a)'' Let $$r(z)=\frac{3^z}{z^4 + 1}$$. Find $$r'(z)$$.
''b)'' Let $$v(t) = \frac{\sin(t)}{\cos(t) + t^2}$$. Find $$v'(t)$$.
''c)'' Determine the slope of the tangent line to the curve
$$\displaystyle R(x) = \frac{x^2 - 2x - 8}{x^2 - 9}$$ at the point where
$$x = 0$$.
''d)'' When a camera flashes, the intensity $$I$$ of light seen by the eye is
given by the function
$$I(t) = \frac{100t}{e^t},$$
where $$I$$ is measured in candles and $$t$$ is measured in milliseconds.
Compute $$I'(0.5)$$, $$I'(2)$$, and $$I'(5)$$; include appropriate units on
each value; and discuss the meaning of each.
When applying the quotient rule, use parentheses around the bottom
function, $$z^4 + 1$$, to ensure that when you compute “the bottom times
the derivative of the top” that the rule is applied correctly.
When applying the quotient rule, use parentheses around the bottom
function, $$\cos(t) + t^2$$, and its derivative to ensure that the rule is
applied correctly.
Remember one of the key interpretations of the derivative.
Let the top function be $$100t$$ and simply use the constant multiple rule
to find its derivative.
When applying the quotient rule, use parentheses around the bottom
function, $$z^4 + 1$$, to ensure that when you compute “the bottom times
the derivative of the top” that the rule is applied correctly.
When applying the quotient rule, use parentheses around the bottom
function, $$\cos(t) + t^2$$, and its derivative to ensure that the rule is
applied correctly.
Remember that the derivative evaluated at a particular value gives the
slope of the tangent line there.
Let the top function be $$100t$$ and simply use the constant multiple rule
to find its derivative. Further, note that since the units on $$I$$ are
candles and those on $$t$$ are milliseconds, the units on $$I'(t)$$ will be
candles per millisecond.
$$r'(z)=\frac{(z^4+1) 3^z \ln(3) - 3^z(4z^3)}{(z^4 + 1)^2}.$$
$$v'(t) = \frac{(\cos(t) + t^2)\cos(t) - \sin(t)(\sin(t) + 2t)}{(\cos(t) + t^2)^2}.$$
We first compute $$R'(x)$$. By the quotient rule,
$$R'(x) = \frac{(x^2 - 9)(2x - 2) - (x^2 - 2x - 8)(2x)}{(x^2 - 9)^2}.$$
From this, it follows that
$$R'(0) = \frac{(-9)(-2)-(-8)(0)}{(-9)^2} = -\frac{2}{9}$$, which is the
slope of the tangent line to the curve at the point where $$x = 0$$.
By the quotient rule and algebraic simplification,
$$I'(t) = \frac{e^t 100 - 100te^t}{(e^t)^2} = \frac{100-100t}{e^t}.$$
Thus, $$I'(0.5) = \frac{50}{e^{0.5}} \approx 30.327$$,
$$I'(2) = \frac{-100}{e^{2}} \approx -13.534$$, and
$$I'(5) = \frac{-400}{e^4} \approx -2.695$$, each measured in candles per
millisecond. These results show that at $$t = 0.5$$, the intensity of the
flash is increasing rapidly, while at $$t = 2$$ and $$t = 5$$, the intensity
is decreasing, with the intensity decreasing more rapidly when $$t = 2$$.
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
Use relevant derivative rules to answer each of the questions below. Throughout, be sure to use proper notation and carefully label any derivative you find by name.
''a)'' Let $$f(r) = (5r^3 + \sin(r))(4^r - 2\cos(r))$$. Find $$f'(r)$$.
''b)'' Let $$\displaystyle p(t) = \frac{\cos(t)}{t^6 \cdot 6^t}$$. Find $$p'(t)$$.
''c)'' Let $$g(z) = 3z^7 e^z - 2z^2 \sin(z) + \frac{z}{z^2 + 1}.$$ Find
$$g'(z)$$.
''d)'' A moving particle has its position in feet at time $$t$$ in seconds given
by the function $$s(t) = \frac{3\cos(t) - \sin(t)}{e^t}$$. Find the
particle’s instantaneous velocity at the moment $$t = 1$$.
''e)'' Suppose that $$f(x)$$ and $$g(x)$$ are differentiable functions and it is
known that $$f(3) = -2$$, $$f'(3) = 7$$, $$g(3) = 4$$, and $$g'(3) = -1$$. If
$$p(x) = f(x) \cdot g(x)$$ and $$\displaystyle q(x) = \frac{f(x)}{g(x)}$$,
calculate $$p'(3)$$ and $$q'(3)$$.
Observe that $$f$$ is fundamentally a product. Which is the first
function? The second?
Note that $$p$$ has the overall structure of a quotient.
Think about how $$g$$ is a sum of three functions. What is the structure
of each of the three functions in the sum?
How is the velocity of a moving object related to its position?
Since we know $$p(x) = f(x) \cdot g(x)$$, it follows
$$p'(x) = f(x) g'(x) + g(x) f'(x).$$
Observe that $$f$$ is fundamentally a product. Which is the first
function? The second? What rule(s) are needed to differentiate the first
function? The second?
Note that $$p$$ has the overall structure of a quotient. What is the
structure of the bottom function?
Think about how $$g$$ is a sum of three functions. What is the structure
of each of the three functions in the sum?
How is the velocity of a moving object related to its position? What is
the structure of $$s(t)$$?
Since we know $$p(x) = f(x) \cdot g(x)$$, it follows
$$p'(x) = f(x) g'(x) + g(x) f'(x)$$ for any value of $$x$$. How can you use
the given information?
Using the product rule, followed by the sum and constant multiple rule,
observe that
f’(r) & = & (5r^3^ + (r))[4^r^ - 2(r)] + (4^r^ - 2(r))[5r^3^ + (r)]\
& = & (5r^3^ + (r))[4^r^ (4) + 2(r)] + (4^r^ - 2(r))[15r^2^ + (r)]
We use the quotient rule on $$p$$, followed by the product rule to
differentiate the denominator, finding that
Using the sum and constant multiple rules, it follows first that
$$g'(z) = 3 \frac{d}{dz}[z^7 e^z] - 2\frac{d}{dz}[z^2 \sin(z)] + \frac{d}{dz}\left[ \frac{z}{z^2 + 1} \right].$$
Applying the product rule in the first two terms and the quotient rule
in the third, we find that
$$g'(z) = 3 [z^7 e^z + 7z^6e^z] - 2[z^2 \cos(z) + 2z\sin(z)] + \frac{(z^2+1) 1 - z(2z)}{(z^2 + 1)^2}.$$
The particle’s instantaneous velocity at the moment $$t = 1$$ is given by
$$s'(1)$$. We use the quotient rule to find $$s'(t)$$, and simplify by
removing a common factor of $$e^t$$ to get
$$s'(t) = \frac{e^t(-3\sin(t) - \cos(t))-(3\cos(t) - \sin(t))e^t}{(e^t)^2} = \frac{-2\sin(t)-4\cos(t)}{e^t}.$$
Thus, $$s'(1) = \frac{-2\sin(1)-4\cos(1)}{e^1} \approx -1.414$$, which is
the particle’s instantaneous velocity in feet per second at the moment
$$t = 1$$.
Since $$p(x) = f(x) \cdot g(x)$$, the product rule tells us
$$p'(x) = f(x)g'(x) + g(x)f'(x),$$
and since $$\displaystyle q(x) = \frac{f(x)}{g(x)}$$, by the quotient rule
we know $$q'(x) = \frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}.$$
Using the given information ($$f(3) = -2$$, $$f'(3) = 7$$, $$g(3) = 4$$, and
$$g'(3) = -1$$) we now see that
$$p'(3) = f(3)g'(3) + g(3)f'(3) = (-2)(-1) + (4)(7) = 30$$
and
$$q'(x) = \frac{g(3)f'(3)-f(3)g'(3)}{g(3)^2} = \frac{(4)(7) - (-2)(-1)}{4^2} = \frac{13}{8}.$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let $$f$$ and $$g$$ be the functions defined by $$f(t) = 2t^2$$ and
$$g(t) = t^3 + 4t$$.
''a)'' Determine $$f'(t)$$ and $$g'(t)$$.
''b)'' Let $$p(t) = 2t^2 (t^3 + 4t)$$ and observe that $$p(t) = f(t) \cdot g(t)$$.
Rewrite the formula for $$p$$ by distributing the $$2t^2$$ term. Then,
compute $$p'(t)$$ using the sum and constant multiple rules.
''c)''
True or false: $$p'(t) = f'(t) \cdot g'(t)$$.
''d)'' Let $$q(t) = \frac{t^3 + 4t}{2t^2}$$ and observe that
$$q(t) = \frac{g(t)}{f(t)}$$. Rewrite the formula for $$q$$ by dividing
each term in the numerator by the denominator and simplify to write $$q$$
as a sum of constant multiples of powers of $$t$$. Then, compute $$q'(t)$$
using the sum and constant multiple rules.
''e)''
True or false: $$q'(t) = \frac{g'(t)}{f'(t)}$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let $$f$$ and $$g$$ be differentiable functions for which the following
information is known: $$f(2) = 5$$, $$g(2) = -3$$, $$f'(2) = -1/2$$,
$$g'(2) = 2$$.
''a)'' Let $$h$$ be the new function defined by the rule
$$h(x) = g(x) \cdot f(x)$$. Determine $$h(2)$$ and $$h'(2)$$.
''b)'' Find an equation for the tangent line to $$y = h(x)$$ at the point
$$(2,h(2))$$.
''c)'' Let $$r$$ be the function defined by the rule $$r(x) = \frac{g(x)}{f(x)}$$.
Is $$r$$ increasing, decreasing, or neither at $$a = 2$$? Why?
''d)'' Estimate the value of $$r(2.06)$$ by using the local linearization of $$p$$
at the point $$(2,p(2))$$.
''2.'' Consider the functions $$r(t) = t^t$$ and $$s(t) = \arccos(t)$$, for which
you are given the facts that $$r'(t) = t^t(\ln(t) + 1)$$ and
$$s'(t) = -\frac{1}{\sqrt{1-t^2}}$$. Do not be concerned with where these
derivative formulas come from. We restrict our interest in both
functions to the domain $$0 < t < 1$$.
''a)'' Let $$w(t) = t^t \arccos(t)$$. Determine $$w'(t)$$.
''b)'' Find an equation for the tangent line to $$y = w(t)$$ at the point
$$(\frac{1}{2}, w(\frac{1}{2}))$$.
''c)'' Let $$v(t) = \frac{t^t}{\arccos(t)}$$. Is $$v$$ increasing or decreasing at
the instant $$t = \frac{1}{2}$$? Why?
''3.'' Let functions $$p$$ and $$q$$ be the piecewise linear functions given by
their respective graphs in Figure [F:2.3.Ez3]. Use the graphs to answer
the following questions.
''a)'' Let $$r(x) = p(x) \cdot q(x)$$. Determine $$r'(-2)$$ and $$r'(0)$$.
''b)'' Are there values of $$x$$ for which $$r'(x)$$ does not exist? If so, which
values, and why?
''c)'' Find an equation for the tangent line to $$y = r(x)$$ at the point
$$(2,r(2))$$.
''d)'' Let $$z(x) = \frac{q(x)}{p(x)}$$. Determine $$z'(0)$$ and $$z'(2)$$.
''e)'' Are there values of $$x$$ for which $$z'(x)$$ does not exist? If so, which
values, and why?
''4.'' A farmer with large land holdings has historically grown a wide variety
of crops. With the price of ethanol fuel rising, he decides that it
would be prudent to devote more and more of his acreage to producing
corn. As he grows more and more corn, he learns efficiencies that
increase his yield per acre. In the present year, he used 7000 acres of
his land to grow corn, and that land had an average yield of 170 bushels
per acre. At the current time, he plans to increase his number of acres
devoted to growing corn at a rate of 600 acres/year, and he expects that
right now his average yield is increasing at a rate of 8 bushels per
acre per year. Use this information to answer the following questions.
''a)'' Say that the present year is $$t = 0$$, that $$A(t)$$ denotes the number of
acres the farmer devotes to growing corn in year $$t$$, $$Y(t)$$ represents
the average yield in year $$t$$ (measured in bushels per acre), and $$C(t)$$
is the total number of bushels of corn the farmer produces. What is the
formula for $$C(t)$$ in terms of $$A(t)$$ and $$Y(t)$$? Why?
''b)''
What is the value of $$C(0)$$? What does it measure?
''c)'' Write an expression for $$C'(t)$$ in terms of $$A(t)$$, $$A'(t)$$, $$Y(t)$$, and
$$Y'(t)$$. Explain your thinking.
''d)''
What is the value of $$C'(0)$$? What does it measure?
''e)'' Based on the given information and your work above, estimate the value
of $$C(1)$$.
''5.'' Let $$f(v)$$ be the gas consumption (in liters/km) of a car going at
velocity $$v$$ (in km/hour). In other words, $$f(v)$$ tells you how many
liters of gas the car uses to go one kilometer if it is traveling at $$v$$
kilometers per hour. In addition, suppose that $$f(80)=0.05$$ and
$$f'(80) = 0.0004$$.
''a)'' Let $$g(v)$$ be the distance the same car goes on one liter of gas at
velocity $$v$$. What is the relationship between $$f(v)$$ and $$g(v)$$? Hence
find $$g(80)$$ and $$g'(80)$$.
''b)'' Let $$h(v)$$ be the gas consumption in liters per hour of a car going at
velocity $$v$$. In other words, $$h(v)$$ tells you how many liters of gas
the car uses in one hour if it is going at velocity $$v$$. What is the
algebraic relationship between $$h(v)$$ and $$f(v)$$? Hence find $$h(80)$$ and
$$h'(80)$$.
''c)'' How would you explain the practical meaning of these function and
derivative values to a driver who knows no calculus? Include units on
each of the function and derivative values you discuss in your response.
How does the algebraic structure of a function direct us in computing
its derivative using shortcut rules?
How do we compute the derivative of a product of two basic functions in
terms of the derivatives of the basic functions?
How do we compute the derivative of a quotient of two basic functions in
terms of the derivatives of the basic functions?
How do the product and quotient rules combine with the sum and constant
multiple rules to expand the library of functions we can quickly
differentiate?
So far, the basic functions we know how to differentiate include power
functions ($$x^n$$), exponential functions ($$a^x$$), and the two
fundamental trigonometric functions ($$\sin(x)$$ and $$\cos(x)$$). With the
sum rule and constant multiple rules, we can also compute the derivative
of combined functions such as
$$f(x) = 7x^{11} - 4 \cdot 9^x + \pi \sin(x) - \sqrt{3}\cos(x),$$
because the function $$f$$ is fundamentally a sum of basic functions.
Indeed, we can now quickly say that
$$f'(x) = 77x^{10} - 4 \cdot 9^x \ln(9) + \pi \cos(x) + \sqrt{3} \sin(x)$$.
But we can of course combine basic functions in ways other than
multiplying them by constants and taking sums and differences. For
example, we could consider the function that results from a product of
two basic functions, such as
or another that is generated by the quotient of two basic functions, one
like
$$q(t) = \frac{\sin(t)}{2^t}.$$
While the derivative of a sum is the sum of the derivatives, it turns
out that the rules for computing derivatives of products and quotients
are more complicated. In what follows we explore why this is the case,
what the product and quotient rules actually say, and work to expand our
repertoire of functions we can easily differentiate. To start, <<reference 2.3.PA1>> asks you to investigate the derivative of a product
and quotient of two polynomials.
As parts (b) and (d) of <<reference 2.3.PA1>> show, it is not true
in general that the derivative of a product of two functions is the
product of the derivatives of those functions. Indeed, the rule for
differentiating a function of the form $$p(x) = f(x) \cdot g(x)$$ in terms
of the derivatives of $$f$$ and $$g$$ is more complicated than simply taking
the product of the derivatives of $$f$$ and $$g$$. To see further why this
is the case, as well as to begin to understand how the product rule
actually works, we consider an example involving meaningful functions.
Say that an investor is regularly purchasing stock in a particular
company. Let $$N(t)$$ be a function that represents the number of shares
owned on day $$t$$, where $$t = 0$$ represents the first day on which shares
were purchased. Further, let $$S(t)$$ be a function that gives the value
of one share of the stock on day $$t$$; note that the units on $$S(t)$$ are
dollars per share. Moreover, to compute the total value on day $$t$$ of
the stock held by the investor, we use the function
$$V(t) = N(t) \cdot S(t)$$. By taking the product
$$V(t) = N(t) $$ shares $$\cdot S(t) $$ dollars per share
we have the total value in dollars of the shares held. Observe that over
time, both the number of shares and the value of a given share will
vary. The derivative $$N'(t)$$ measures the rate at which the number of
shares held is changing, while $$S'(t)$$ measures the rate at which the
value per share is changing. The big question we’d like to answer is:
how do these respective rates of change affect the rate of change of the
total value function?
To help better understand the relationship among changes in $$N$$, $$S$$,
and $$V$$, let’s consider some specific data. Suppose that on day 100, the
investor owns 520 shares of stock and the stock’s current value is
$27.50 per share. This tells us that $$N(100) = 520$$ and
$$S(100) = 27.50$$. In addition, say that on day 100, the investor
purchases an additional 12 shares (so the number of shares held is
rising at a rate of 12 shares per day), and that on that same day the
price of the stock is rising at a rate of 0.75 dollars per share per
day. Viewed in calculus notation, this tells us that $$N'(100) = 12$$
(shares per day) and $$S'(100) = 0.75$$ (dollars per share per day). At
what rate is the value of the investor’s total holdings changing on day
100?
Observe that the increase in total value comes from two sources: the
growing number of shares, and the rising value of each share. If only
the number of shares is rising (and the value of each share is
constant), the rate at which which total value would rise is found by
computing the product of the current value of the shares with the rate
at which the number of shares is changing. That is, the rate at which
total value would change is given by
$$S(100) \cdot N'(100) = 27.50 \, \frac{dollars}{share} \cdot 12 \, \frac{shares}{day} = 330 \, \frac{dollars}{day}.$$
Note particularly how the units make sense and explain that we are finding the rate at which the total value V is changing, measured in dollars per day. If instead the number of shares is constant, but the value of each share is rising, then the rate at which the total value would rise is found similarly by taking the product of the number of shares with the rate of change of share value. In particular, the rate total value is rising is
$$N(100) \cdot S'(100) = 520 \, shares \cdot 0.75 \, \frac{dollars per share}{day} = 390 \, \frac{dollars}{day}.$$
Of course, when both the number of shares is changing and the value of
each share is changing, we have to include both of these sources, and
hence the rate at which the total value is rising is
$$V'(100) = S(100) \cdot N'(100) + N(100) \cdot S'(100) = 330 + 390 = 720 \, \frac{dollars}{day}.$$
This tells us that we expect the total value of the investor’s holdings
to rise by about $720 on the 100th day.<<footnote [5] "While this example highlights why the product rule is true, there
are some subtle issues to recognize. For one, if the stock’s value
really does rise exactly ''0.75'' on day 100, and the number of shares
really rises by 12 on day 100, then we’d expect that
{{V(101) = N(101) S(101) }}
If, as
noted above, we expect the total value to rise by $720, then with
{{V(100) = N(100) S(100)}}
, then it
seems like we should find that
{{V(101) = V(100) + 720}}
Why
do the two results differ by 9? One way to understand why this
difference occurs is to recognize that
{{N'(100) = 12}}
represents an
''instantaneous'' rate of change, while our (informal) discussion has
also thought of this number as the total change in the number of
shares over the course of a single day. The formal proof of the
product rule reconciles this issue by taking the limit as the change
in the input tends to zero.">>
Next, we expand our perspective from the specific example above to the
more general and abstract setting of a product $$p$$ of two differentiable
functions, $$f$$ and $$g$$. If we have $$P(x) = f(x) \cdot g(x)$$, our work
above suggests that $$P'(x) = f(x) g'(x) + g(x) f'(x).$$ Indeed, a formal
proof using the limit definition of the derivative can be given to show
that the following rule, called the ''product rule'', holds in general.
<table width="100%">
''Product Rule:'' If $$f$$ and $$g$$ are differentiable functions, then their product $$P(x) = f(x) \cdot g(x)$$ is also a differentiable function, and
$$P'(x) = f(x) g'(x) + g(x) f'(x).$$
In light of the earlier example involving shares of stock, the product
rule also makes sense intuitively: the rate of change of $$P$$ should take
into account both how fast $$f$$ and $$g$$ are changing, as well as how
large $$f$$ and $$g$$ are at the point of interest. Furthermore, we note in
words what the product rule says: if $$P$$ is the product of two functions
$$f$$ (the first function) and $$g$$ (the second), then “the derivative of
$$P$$ is the first times the derivative of the second, plus the second
times the derivative of the first.” It is often a helpful mental
exercise to say this phrasing aloud when executing the product rule.
For example, if $$P(z) = z^3 \cdot \cos(z)$$, we can now use the product
rule to differentiate $$P$$. The first function is $$z^3$$ and the second
function is $$\cos(z)$$. By the product rule, $$P'$$ will be given by the
first, $$z^3$$, times the derivative of the second, $$-\sin(z)$$, plus the
second, $$\cos(z)$$, times the derivative of the first, $$3z^2$$. That is,
$$P'(z) = z^3(-\sin(z)) + \cos(z) 3z^2 = -z^3 \sin(z) + 3z^2 \cos(z).$$
The following activity further explores the use of the product rule.
Because quotients and products are closely linked, we can use the
product rule to understand how to take the derivative of a quotient. In
particular, let $$Q(x)$$ be defined by $$Q(x) = f(x)/g(x)$$, where $$f$$ and
$$g$$ are both differentiable functions. We desire a formula for $$Q'$$ in
terms of $$f$$, $$g$$, $$f'$$, and $$g'$$. It turns out that $$Q$$ is
differentiable everywhere that $$g(x) \ne 0$$. Moreover, taking the
formula $$Q = f/g$$ and multiplying both sides by $$g$$, we can observe that
$$f(x) = Q(x) \cdot g(x).$$
Thus, we can use the product rule to differentiate $$f$$. Doing so,
$$f'(x) = Q(x) g'(x) + g(x) Q'(x).$$
Since we want to know a formula for $$Q'$$, we work to solve this most
recent equation for $$Q'(x)$$, finding first that
$$Q'(x) g(x) = f'(x) - Q(x) g'(x).$$
Dividing both sides by $$g(x)$$, we have
$$Q'(x) = \frac{f'(x) - Q(x) g'(x)}{g(x)}.$$
Finally, we also recall that $$Q(x) = \frac{f(x)}{g(x)}.$$ Using this
expression in the preceding equation and simplifying, we have
<center>
<table class="equationtable">
<tr><td> $$Q'(x)$$
</td><td>= $$ \frac{f'(x) - \frac{f(x)}{g(x)} g'(x)}{g(x)} $$ </td></tr>
<tr><td></td><td>= $$ \frac{f'(x) - \frac{f(x)}{g(x)} g'(x)}{g(x)} \cdot \frac{g(x)}{g(x)} $$
</td></tr>
<tr><td></td><td>= $$\frac{g(x) f'(x) - f(x) g'(x)}{g(x)^2} $$
</td></tr>
This shows the fundamental argument for why the ''quotient rule'' holds.
<table width="100%">
''Quotient Rule: '' If $$f$$ and $$g$$ are differentiable functions, then their quotient $$Q(x) = \frac{f(x)}{g(x)}$$ is also a differentiable function for all $$x$$ where $$g(x) \ne 0$$, and
<br>
<br>
<center>
{{Q'(x) =}}
Like the product rule, it can be helpful to think of the quotient rule
verbally. If a function $$Q$$ is the quotient of a top function $$f$$ and a
bottom function $$g$$, then $$Q'$$ is given by “the bottom times the
derivative of the top, minus the top times the derivative of the bottom,
all over the bottom squared.” For example, if $$Q(t) = \sin(t)/2^t$$, then
we can identify the top function as $$\sin(t)$$ and the bottom function as
$$2^t$$. By the quotient rule, we then have that $$Q'$$ will be given by the
bottom, $$2^t$$, times the derivative of the top, $$\cos(t)$$, minus the
top, $$\sin(t)$$, times the derivative of the bottom, $$2^t \ln(2)$$, all
over the bottom squared, $$(2^t)^2$$. That is,
$$Q'(t) = \frac{2^t \cos(t) - \sin(t) 2^t \ln(2)}{(2^t)^2}.$$
In this particular example, it is possible to simplify $$Q'(t)$$ by
removing a factor of $$2^t$$ from both the numerator and denominator,
hence finding that
$$Q'(t) = \frac{\cos(t) - \sin(t) \ln(2)}{2^t}.$$
In general, we must be careful in doing any such simplification, as we
don’t want to correctly execute the quotient rule but then find an
incorrect overall derivative due to an algebra error. As such, we will
often place more emphasis on correctly using derivative rules than we
will on simplifying the result that follows. The next activity further
explores the use of the quotient rule.
One of the challenges to learning to apply various derivative shortcut
rules correctly and effectively is recognizing the fundamental structure
of a function. For instance, consider the function given by
$$f(x) = x\sin(x) + \frac{x^2}{\cos(x) + 2}.$$
How do we decide which rules to apply? Our first task is to recognize
the overall structure of the given function. Observe that the function
$$f$$ is fundamentally a sum of two slightly less complicated functions,
so we can apply the sum rule <<footnote [6] "When taking a derivative that involves the use of multiple
derivative rules, it is often helpful to use the notation
{{d/dx}} to wait to apply subsequent rules.
This is demonstrated in each of the two examples presented here.">>and get
<center>
<table class="equationtable">
<tr><td> $$f'(x) $$
</td><td>= $$\frac{d}{dx} \left[ x\sin(x) + \frac{x^2}{\cos(x) + 2} \right] $$ </td></tr>
<tr><td></td><td>= $$\frac{d}{dx} \left[ x\sin(x) \right] + \frac{d}{dx}\left[ \frac{x^2}{\cos(x) + 2} \right] $$
</td></tr>
Now, the left-hand term above is a product, so the product rule is
needed there, while the right-hand term is a quotient, so the quotient
rule is required. Applying these rules respectively, we find that
<center>
<table class="equationtable">
<tr><td> $$f'(x) $$
</td><td>= $$\left( x \cos(x) + \sin(x) \right) + \frac{(\cos(x) + 2) 2x - x^2(-\sin(x))}{(\cos(x) + 2)^2} $$ </td></tr>
<tr><td></td><td>= $$x \cos(x) + \sin(x) + \frac{2x\cos(x) + 4x^2 + x^2\sin(x)}{(\cos(x) + 2)^2} $$
</td></tr>
We next consider how the situation changes with the function defined by
$$s(y) = \frac{y \cdot 7^y}{y^2 + 1}.$$
Overall, $$s$$ is a quotient of two simpler function, so the quotient rule
will be needed. Here, we execute the quotient rule and use the notation
$$\frac{d}{dy}$$ to defer the computation of the derivative of the
numerator and derivative of the denominator. Thus,
$$s'(y) = \frac{(y^2 + 1) \cdot \frac{d}{dy}\left[ y \cdot 7^y \right] - y \cdot 7^y \cdot \frac{d}{dy}\left[y^2 + 1 \right]}{(y^2 + 1)^2}.$$
Now, there remain two derivatives to calculate. The first one,
$$\frac{d}{dy}\left[ y \cdot 7^y \right]$$ calls for use of the product
rule, while the second, $$\frac{d}{dy}\left[y^2 + 1 \right]$$ takes only
an elementary application of the sum rule. Applying these rules, we now
have
$$s'(y) = \frac{(y^2 + 1) [y \cdot 7^y \ln(7) + 7^y \cdot 1] - y \cdot 7^y [2y]}{(y^2 + 1)^2}.$$
While some minor simplification is possible, we are content to leave
$$s'(y)$$ in its current form, having found the desired derivative of $$s$$.
In summary, to compute the derivative of $$s$$, we applied the quotient
rule. In so doing, when it was time to compute the derivative of the top
function, we used the product rule; at the point where we found the
derivative of the bottom function, we used the sum rule.
In general, one of the main keys to success in applying derivative rules
is to recognize the structure of the function, followed by the careful
and diligent application of relevant derivative rules. The best way to
get good at this process is by doing a large number of exercises, and
the next activity provides some practice and exploration to that end.
As the algebraic complexity of the functions we are able to
differentiate continues to increase, it is important to remember that
all of the derivative’s meaning continues to hold. Regardless of the
structure of the function $$f$$, the value of $$f'(a)$$ tells us the
instantaneous rate of change of $$f$$ with respect to $$x$$ at the moment
$$x = a$$, as well as the slope of the tangent line to $$y = f(x)$$ at the
point $$(a,f(a))$$.
!!Summary
---
In this section, we encountered the following important ideas:
---
* If a function is a sum, product, or quotient of simpler functions, then we can use the sum, product, or quotient rules to differentiate the overall function in terms of the simpler functions and their derivatives.
* The product rule tells us that if $$P$$ is a product of differentiable functions $$f$$ and $$g$$ according to the rule $$P(x) = f(x) g(x)$$, then
$$P'(x) = f(x)g'(x) + g(x)f'(x).$$
* The quotient rule tells us that if $$Q$$ is a quotient of differentiable functions $$f$$ and $$g$$ according to the rule $$Q(x) = \frac{f(x)}{g(x)}$$, then
$$Q(x) = \frac{f(x)}{g(x)}$$,
then $$Q'(x) = \frac{g(x)f'(x) - f(x)g'(x)}{g(x)^2}.$$
* The product and quotient rules now complement the constant multiple and sum rules and enable us to compute the derivative of any function that consists of sums, constant multiples, products, and quotients of basic functions we already know how to differentiate. For instance, if $$F$$ has the form
$$F(x) = \frac{2a(x) - 5b(x)}{c(x) \cdot d(x)},$$
then $$F$$ is fundamentally a quotient, and the numerator is a sum of
constant multiples and the denominator is a product. Hence the
derivative of $$F$$ can be found by applying the quotient rule and then
using the sum and constant multiple rules to differentiate the numerator
and the product rule to differentiate the denominator.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$h(x) = \sec(x)$$ and recall that $$\sec(x) = \frac{1}{\cos(x)}$$.
''a)'' What is the domain of $$h$$?
''b)'' Use the quotient rule to develop a formula for $$h'(x)$$ that is expressed
completely in terms of $$\sin(x)$$ and $$\cos(x)$$.
''c)'' How can you use other relationships among trigonometric functions to
write $$h'(x)$$ only in terms of $$\tan(x)$$ and $$\sec(x)$$?
''d)'' What is the domain of $$h'$$? How does this compare to the domain of $$h$$?
Don’t forget that $$\frac{d}{dx}[1] = 0$$.
Consider rewriting $$\frac{\sin(x)}{\cos^2(x)}$$ as
$$\frac{1}{\cos(x)} \cdot \frac{\sin(x)}{\cos(x)}$$.
Observe that $$\cos(x)$$ is still present in the denominator of $$h'(x)$$.
Remember that one value of $$x$$ for which $$\cos(x) = 0$$ is
$$x = \frac{\pi}{2}$$. What are the others?
Don’t forget that $$\frac{d}{dx}[1] = 0$$, and be careful with your signs.
Consider rewriting $$\frac{\sin(x)}{\cos^2(x)}$$ as
$$\frac{1}{\cos(x)} \cdot \frac{\sin(x)}{\cos(x)}$$.
Observe that $$\cos(x)$$ is still present in the denominator of $$h'(x)$$.
$$h(x) = \sec(x)$$ is defined for all $$x$$ for which $$\cos(x) \ne 0$$. Hence
the domain of $$h$$ is all real numbers $$x$$ such that
$$x \ne \frac{k\pi}{2}$$, where $$k = \pm 1, \pm 2, \ldots$$.
$$h'(x) = \frac{0 - 1 (-\sin(x))}{\cos^2(x)} = \frac{\sin(x)}{\cos^2(x)}.$$
Observe that
$$h'(x) = \frac{\sin(x)}{\cos^2(x)} = \frac{1}{\cos(x)} \cdot \frac{\sin(x)}{\cos(x)},$$
so
$$h'(x) = \sec(x) \tan(x).$$
The derivative $$h'(x)$$ is, like $$h(x)$$, defined for all values of $$x$$
for which $$\cos(x) \ne 0$$. Therefore, $$h$$ and $$h'$$ have the same domain:
all real numbers $$x$$ such that $$x \ne \frac{k\pi}{2}$$, where
$$k = \pm 1, \pm 2, \ldots$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$p(x) = \csc(x)$$ and recall that $$\csc(x) = \frac{1}{\sin(x)}$$.
''a)'' What is the domain of $$p$$?
''b)'' Use the quotient rule to develop a formula for $$p'(x)$$ that is expressed
completely in terms of $$\sin(x)$$ and $$\cos(x)$$.
''c)'' How can you use other relationships among trigonometric functions to
write $$p'(x)$$ only in terms of $$\cot(x)$$ and $$\csc(x)$$?
''d)'' What is the domain of $$p'$$? How does this compare to the domain of $$p$$?
For what values of $$x$$ is $$\sin(x) = 0$$?
Don’t forget that $$\frac{d}{dx}[1] = 0$$.
Consider rewriting $$\frac{\cos(x)}{\sin^2(x)}$$ as
$$\frac{1}{\sin(x)} \cdot \frac{\cos(x)}{\sin(x)}$$.
Observe that $$\sin(x)$$ is still present in the denominator of $$h'(x)$$.
Remember that one value of $$x$$ for which $$\sin(x) = 0$$ is $$x = \pi$$.
What are the others?
Don’t forget that $$\frac{d}{dx}[1] = 0$$, and be careful with your signs.
Consider rewriting $$\frac{\cos(x)}{\sin^2(x)}$$ as
$$\frac{1}{\sin(x)} \cdot \frac{\cos(x)}{\sin(x)}$$.
Observe that $$\sin(x)$$ is still present in the denominator of $$h'(x)$$.
$$p(x) = \csc(x)$$ is defined for all $$x$$ for which $$\sin(x) \ne 0$$. Hence
the domain of $$h$$ is all real numbers $$x$$ such that $$x k\pi$$, where
$$k = 0, \pm 1, \pm 2, \ldots$$.
$$h'(x) = \frac{0 - 1 \cdot (\cos(x))}{\sin^2(x)} = -\frac{\cos(x)}{\sin^2(x)}.$$
Observe that
$$h'(x) = -\frac{\cos(x)}{\sin^2(x)} = -\frac{1}{\sin(x)} \cdot \frac{\cos(x)}{\sin(x)},$$
so $$h'(x) = -\csc(x) \cot(x).$$
The derivative $$p'(x)$$ is, like $$p(x)$$, defined for all values of $$x$$
for which $$\sin(x) \ne 0$$. Therefore, $$p$$ and $$p'$$ have the same domain:
all real numbers $$x$$ such that $$x \ne k\pi$$, where
$$k = 0, \pm 1, \pm 2, \ldots$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Answer each of the following questions. Where a derivative is requested, be sure to label the derivative function with its name using proper notation.
''a)'' Let $$f(x) = 5 \sec(x) - 2\csc(x)$$. Find the slope of the tangent line to
$$f$$ at the point where $$x =\frac{\pi}{3}$$.
''b)'' Let $$p(z) = z^2\sec(z) - z\cot(z)$$. Find the instantaneous rate of
change of $$p$$ at the point where $$z = \frac{\pi}{4}$$.
''c)'' Let $$h(t) = \displaystyle \frac{\tan (t)}{t^2+1} - 2e^t \cos(t)$$. Find
$$h'(t)$$.
''d)'' Let $$g(r) = \displaystyle \frac{r \sec(r) }{5^r}$$. Find $$g'(r)$$.
''e)'' When a mass hangs from a spring and is set in motion, the object’s
position oscillates in a way that the size of the oscillations decrease.
This is usually called a ''damped oscillation''. Suppose that for a
particular object, its displacement from equilibrium (where the object
sits at rest) is modeled by the function
$$s(t) = \frac{15 \sin(t)}{e^t}.$$
Assume that $$s$$ is measured in inches and $$t$$ in seconds. Sketch a graph
of this function for $$t \ge 0$$ to see how it represents the situation
described. Then compute $$ds/dt$$, state the units on this function, and
explain what it tells you about the object’s motion. Finally, compute
and interpret $$s'(2)$$.
What rule(s) can help you determine $$f'(x)$$?
Note that $$p$$ is a sum of two functions. What rule is needed to
differentiate each term in the sum?
Observe that $$h$$ is a sum of two functions; the first term in the sum is
a quotient, while the second is a product.
What is the overall structure of $$g$$? What is the algebraic structure of
the numerator of $$g$$?
Keep in mind that the derivative of position tells us the instantaneous
velocity.
Use the sum and constant multiple rules help you determine $$f'(x)$$.
Note that $$p$$ is a sum of two functions and that each term in the sum is
a product.
Observe that $$h$$ is a sum of two functions; the first term in the sum is
a quotient, while the second is a product.
What is the overall structure of $$g$$? What is the algebraic structure of
the numerator of $$g$$?
Keep in mind that the derivative of position tells us the instantaneous
velocity, and observe that differentiating $$s$$ will require the quotient
rule.
Using the sum and constant multiple rules along with the formulas for
the derivatives of $$\sec(x)$$ and $$\csc(x)$$, we find that
$$f'(x) = 5 \sec(x)\tan(x) + 2\csc(x)\cot(x).$$ Therefore, the slope of
the tangent line to $$f$$ at the point where $$x =\frac{\pi}{3}$$ is given
by
$$m = f'(\frac{\pi}{3}) = 5 \sec(\frac{\pi}{3})\tan(\frac{\pi}{3}) + 2\csc(\frac{\pi}{3})\cot(\frac{\pi}{3}) = 5 \cdot 2 \cdot \sqrt{3} + 2 \cdot \frac{2}{\sqrt{3}} \cdot \frac{1}{\sqrt{3}} = 10\sqrt{3} + \frac{4}{3}.$$
By the sum rule and two applications of the product rule, we have
& = & [z^2^ (z) (z) + (z) 2z] - [z(-^2^(z)) + (z) 1]\
& = & z^2^ (z) (z) + 2z(z) + z^2^(z) - (z).
Thus, the instantaneous rate of change of $$p$$ at the point where
$$z = \frac{\pi}{4}$$ is
p’() & = & ()^2^ () () + 2() + ^2^() - ()\
& = & + 2 + 2 - 1\
& = & + + - 1
Using the sum and constant multiple rules, followed by the quotient rule
on the first term and the product rule on the second, we find that
& = & - 2(e^t^(-(t)) + (t)e^t^)\
& = & + 2e^t^ (t) - 2 e^t^(t)
Note that $$g$$ is fundamentally a quotient, so we need to use the
quotient rule. But the numerator of $$g$$ is a product, so the product
rule will be required to compute the derivative of the top function.
Executing the quotient rule and proceeding, we find that
$$\frac{ds}{dt} = \frac{e^t \cdot 15 \cos(t) - 15\sin(t) \cdot e^t}{(e^t)^2} = \frac{15\cos(t) - 15\sin(t)}{e^t}.$$
The function $$\frac{ds}{dt} = s'(t)$$ measures the instantaneous vertical
velocity of the mass that is attached to the spring. In particular,
$$s'(2) = \frac{15\cos(2) - 15\sin(2)}{e^2} \approx -2.69$$ inches per
second, which tells us at the instant $$t = 2$$, the mass is moving
downward at an instantaneous rate of 2.69 inches per second.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' An object moving vertically has its height at time $$t$$ (measured in
feet, with time in seconds) given by the function
$$h(t) = 3 + \frac{2\cos(t)}{1.2^t}$$.
''a)'' What is the object’s instantaneous velocity when $$t =2$$?
''b)'' What is the object’s acceleration at the instant $$t = 2$$?
''c)'' Describe in everyday language the behavior of the object at the instant
$$t = 2$$.
''2.'' Let $$f(x) = \sin(x) \cot(x)$$.
''a)'' Use the product rule to find $$f'(x)$$.
''b)'' True or false: for all real numbers $$x$$, $$f(x) = \cos(x)$$.
''c)'' Explain why the function that you found in (a) is almost the opposite of
the sine function, but not quite. (Hint: convert all of the
trigonometric functions in (a) to sines and cosines, and work to
simplify. Think carefully about the domain of $$f$$ and the domain of
$$f'$$.)
''3.'' Let $$p(z)$$ be given by the rule
$$p(z) = \frac{z\tan(z)}{z^2\sec(z) + 1} + 3 e^z + 1.$$
''a)'' Determine $$p'(z)$$.
''b)'' Find an equation for the tangent line to $$p$$ at the point where $$z = 0$$.
''c)'' At $$t = 0$$, is $$p$$ increasing, decreasing, or neither? Why?
What are the derivatives of the tangent, cotangent, secant, and cosecant
functions?
How do the derivatives of $$\tan(x)$$, $$\cot(x)$$, $$\sec(x)$$, and $$\csc(x)$$
combine with other derivative rules we have developed to expand the
library of functions we can quickly differentiate?
One of the powerful themes in trigonometry is that the entire subject
emanates from a very simple idea: locating a point on the unit circle.
<<figure "2_4_UnitCircle.svg">>
Because each angle $$\theta$$ corresponds to one and only one point
$$(x,y)$$ on the unit circle, the $$x$$- and $$y$$-coordinates of this point
are each functions of $$\theta$$. Indeed, this is the very definition of
$$\cos(\theta)$$ and $$\sin(\theta)$$: $$\cos(\theta)$$ is the $$x$$-coordinate
of the point on the unit circle corresponding to the angle $$\theta$$, and
$$\sin(\theta)$$ is the $$y$$-coordinate. From this simple definition, all
of trigonometry is founded. For instance, the fundamental trigonometric
identity,
$$\sin^2(\theta) + \cos^2(\theta) = 1,$$
is a restatement of the Pythagorean Theorem, applied to the right
triangle shown in <<figreference 2_4_UnitCircle.svg>>
We recall as well that there are four other trigonometric functions,
each defined in terms of the sine and/or cosine functions. These six
trigonometric functions together offer us a wide range of flexibility in
problems involving right triangles. The tangent function is defined by
$$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$$, while the cotangent
function is its reciprocal:
$$\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}$$. The secant function
is the reciprocal of the cosine function,
$$\sec(\theta) = \frac{1}{\cos(\theta)}$$, and the cosecant function is
the reciprocal of the sine function,
$$\csc(\theta) = \frac{1}{\sin(\theta)}$$.
Because we know the derivatives of the sine and cosine function, and the
other four trigonometric functions are defined in terms of these
familiar functions, we can now develop shortcut differentiation rules
for the tangent, cotangent, secant, and cosecant functions. In this
section’s preview activity, we work through the steps to find the
derivative of $$y = \tan(x)$$.
!!Derivatives of the cotangent, secant, and cosecant functions
In <<reference 2.4.PA1>>, we found that the derivative of the
tangent function can be expressed in several ways, but most simply in
terms of the secant function. Next, we develop the derivative of the
cotangent function.
Let $$g(x) = \cot(x)$$. To find $$g'(x)$$, we observe that
$$g(x) = \frac{\cos(x)}{\sin(x)}$$ and apply the quotient rule. Hence
<center>
<table class="equationtable">
<tr><td> $$g'(x) $$
</td><td>= $$\frac{\sin(x)(-\sin(x)) - \cos(x) \cos(x)}{\sin^2(x)} $$ </td></tr>
<tr><td></td><td>= $$-\frac{\sin^2(x) + \cos^2(x)}{\sin^2(x)} $$
</td></tr>
By the Fundamental Trigonometric Identity, we see that
$$g'(x) = -\frac{1}{\sin^2(x)}$$; recalling that
$$\csc(x) = \frac{1}{\sin(x)}$$, it follows that we can most simply
express
$$g'$$ by the rule $$g'(x) = -\csc^2(x).$$
Note that neither $$g$$ nor $$g'$$ is defined when $$\sin(x) = 0$$, which occurs at every integer multiple of $$\pi$$. Hence we have the following rule.
<table width="100%">
''Cotangent Function:'' For all real numbers $$x$$ such that $$x \ne k\pi$$, where $$k = 0, \pm 1, \pm 2, \ldots$$,
<br>
<br>
<center> $$\frac{d}{dx} [\cot(x)] = -\csc^2(x).$$
<br>
<br>
Observe that the shortcut rule for the cotangent function is very
similar to the rule we discovered in Preview Activity [PA:2.4] for the
tangent function.
<table width="100%">
''Tangent Function:''
For all real numbers $$x$$ such that $$x \ne \frac{(2k+1)\pi}{2}$$, where $$k = \pm 1, \pm 2, \ldots$$,
<br>
<br>
<center>
$$\frac{d}{dx} [\tan(x)] = \sec^2(x).$$
<br>
<br>
In the next two activities, we develop the rules for differentiating the
secant and cosecant functions.
The quotient rule has thus enabled us to determine the derivatives of
the tangent, cotangent, secant, and cosecant functions, expanding our
overall library of basic functions we can differentiate. Moreover, we
observe that just as the derivative of any polynomial function is a
polynomial, and the derivative of any exponential function is another
exponential function, so it is that the derivative of any basic
trigonometric function is another function that consists of basic
trigonometric functions. This makes sense because all trigonometric
functions are periodic, and hence their derivatives will be periodic,
too.
As has been and will continue to be the case throughout our work in
<<reference [[Chapter 2]]>>, the derivative retains all of its fundamental meaning as
an instantaneous rate of change and as the slope of the tangent line to
the function under consideration. Our present work primarily expands the
list of functions for which we can quickly determine a formula for the
derivative. Moreover, with the addition of $$\tan(x)$$, $$\cot(x)$$,
$$\sec(x)$$, and $$\csc(x)$$ to our library of basic functions, there are
many more functions we can differentiate through the sum, constant
multiple, product, and quotient rules.
!!Summary
---
In this section, we encountered the following important ideas:
---
* The derivatives of the other four trigonometric functions are
$$\frac{d}{dx}[\tan(x)] = \sec^2(x), \ \ \frac{d}{dx}[\cot(x)] = -\csc^2(x),$$
$$\frac{d}{dx}[\sec(x)] = \sec(x)\tan(x), \ {and} \ \frac{d}{dx}[\csc(x)] = -\csc(x)\cot(x).$$
* Each derivative exists and is defined on the same domain as the original function. For example, both the tangent function and its derivative are defined for all real numbers $$x$$ such that $$x \ne \frac{k\pi}{2}$$, where $$k = \pm 1, \pm 2, \ldots$$.
* The above four rules for the derivatives of the tangent, cotangent, secant, and cosecant can be used along with the rules for power functions, exponential functions, and the sine and cosine, as well as the sum, constant multiple, product, and quotient rules, to quickly differentiate a wide range of different functions.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$f(x) = \tan(x)$$, and remember that
$$\tan(x) = \frac{\sin(x)}{\cos(x)}$$.
''a)'' What is the domain of $$f$$?
''b)'' Use the quotient rule to show that one expression for $$f'(x)$$ is
$$f'(x) = \frac{\cos(x)\cos(x) + \sin(x)\sin(x)}{\cos^2(x)}.$$
''c)'' What is the Fundamental Trigonometric Identity? How can this identity be
used to find a simpler form for $$f'(x)$$?
''d)'' Recall that $$\sec(x) = \frac{1}{\cos(x)}$$. How can we express $$f'(x)$$ in
terms of the secant function?
''e)'' For what values of $$x$$ is $$f'(x)$$ defined? How does this set compare to
the domain of $$f$$?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each function given below, identify an inner function $$g$$ and outer
function $$f$$ to write the function in the form $$f(g(x))$$. Then,
determine $$f'(x)$$, $$g'(x)$$, and $$f'(g(x))$$, and finally apply the chain
rule to determine the derivative of the given function.
''a)''
$$h(x) = \cos(x^4)$$
''b)'' $$p(x) = \sqrt{ \tan(x) }$$
''c)'' $$s(x) = 2^{\sin(x)}$$
''d)'' $$z(x) = \cot^5(x)$$
''e)''
$$m(x) = (\sec(x) + e^x)^9$$
The outer function is $$f(x) = \cos(x)$$.
The outer function is $$f(x) = \sqrt{x}$$.
The outer function is $$f(x) = 2^x$$.
The outer function is $$f(x) = x^5$$.
The outer function is $$f(x) = x^9$$.
The outer function is $$f(x) = \cos(x)$$, while the inner function is
$$g(x) = x^4$$.
The outer function is $$f(x) = \sqrt{x}$$, while the inner function is
$$g(x) = \tan(x)$$.
The outer function is $$f(x) = 2^x$$, while the inner function is
$$g(x) = \sin(x)$$.
The outer function is $$f(x) = x^5$$, while the inner function is
$$g(x) = \cot(x)$$.
The outer function is $$f(x) = x^9$$, while the inner function is
$$g(x) = \sec(x) + e^x$$.
The outer function is $$f(x) = \cos(x)$$, while the inner function is
$$g(x) = x^4$$, and we know that
$$f'(x) = -\sin(x), g'(x) = 4x^3, \ {and} \ f'(g(x)) = -\sin(x^4).$$
Hence, by the chain rule,
$$h'(x) = f'(g(x))g'(x) = -4x^3\sin(x^4).$$
The outer function is $$f(x) = \sqrt{x}$$, while the inner function is
$$g(x) = \tan(x)$$, and we know that
$$f'(x) = \frac{1}{2\sqrt{x}}, g'(x) = \sec^2(x), \ {and} \ f'(g(x)) = \frac{1}{2\sqrt{\tan(x)}}.$$
Hence, by the chain rule,
$$h'(x) = f'(g(x))g'(x) = \frac{\sec^2(x)}{2\sqrt{\tan(x)}}.$$
The outer function is $$f(x) = 2^x$$, while the inner function is
$$g(x) = \sin(x)$$, and we know that
$$f'(x) = 2^x \ln(2), g'(x) = \cos(x), \ {and} \ f'(g(x)) = 2^{\sin(x)}\ln(2).$$
Hence, by the chain rule,
$$h'(x) = f'(g(x))g'(x) = 2^{\sin(x)}\ln(2)\cos(x).$$
The outer function is $$f(x) = x^5$$, while the inner function is
$$g(x) = \cot(x)$$, and we know that
$$f'(x) = 5x^4, g'(x) = -\csc^2(x), \ {and} \ f'(g(x)) = 5\cot^4(x).$$
Hence, by the chain rule,
$$h'(x) = f'(g(x))g'(x) = -5\cot^4(x) \csc^2(x).$$
The outer function is $$f(x) = x^9$$, while the inner function is
$$g(x) = \sec(x) + e^x$$, and we know that
$$f'(x) = 9x^8, g'(x) = \sec(x)\tan(x) + e^x, \ {and} \ f'(g(x)) = 9(\sec(x)+e^x)^8.$$
Hence, by the chain rule,
$$h'(x) = f'(g(x))g'(x) = 9(\sec(x)+e^x)^8 (\sec(x)\tan(x) + e^x).$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following functions, find the function’s derivative.
State the rule(s) you use, label relevant derivatives appropriately, and
be sure to clearly identify your overall answer.
''a)''
$$p(r) = 4\sqrt{r^6 + 2e^r}$$
''b)''
$$m(v) = \sin(v^2) \cos(v^3)$$
''c)''
$$h(y) = \frac{\cos(10y)}{e^{4y}+1}$$
''d)''
$$s(z) = 2^{z^2 \sec (z)}$$
''e)''
$$c(x) = \sin(e^{x^2})$$
Use the constant multiple rule first, followed by the chain rule.
Observe that $$m$$ is fundamentally a product of composite functions.
Note that $$h$$ is a quotient of composite functions.
The function $$s$$ is a composite function with outer function $$2^z$$.
It is possible for a function to be a composite function with more than
two functions in the chain.
Note that $$p'(r) = 4\frac{d}{dr}[\sqrt{r^6 + 2e^r}].$$ Now use the chain
rule to complete the remaining derivative.
Observe that by the product rule,
$$m'(v) = \sin(v^2) \frac{d}{dv}[\cos(v^3)] + \cos(v^3) \frac{d}{dv}[\sin(v^2)].$$
What rule is needed to execute the remaining two derivatives?
Note that by the quotient rule,
$$h'(y) = \frac{(e^{4y}+1) \frac{d}{dy}[\cos(10y)] - \cos(10y) \frac{d}{dy}[e^{4y}+1]}{(e^{4y}+1)^2}.$$
What work remains to find $$h'(y)$$?
By the chain rule,
$$s'(z) = 2^{z^2\sec(z)} \ln(2) \frac{d}{dz}[z^2 \sec(z)]$$. What rule
should next be applied?
If we first apply the chain rule to the outer function (the sine
function), note that $$c'(x) = \cos(e^{x^2}) \frac{d}{dx}[e^{x^2}].$$
What rule is needed to differentiate the inner function, $$e^{x^2}$$?
By the constant multiple rule,
$$p'(r) = 4\frac{d}{dr}[\sqrt{r^6 + 2e^r}].$$ Using the chain rule to
complete the remaining derivative, we see that
$$p'(r) = 4 \frac{1}{2\sqrt{r^6 + 2e^r}} \frac{d}{dr}[r^6 + 2e^r] = \frac{4(6r^5 + 2e^r)}{2\sqrt{r^6 + 2e^r}}.$$
Observe that by the product rule,
$$m'(v) = \sin(v^2) \frac{d}{dv}[\cos(v^3)] + \cos(v^3) \frac{d}{dv}[\sin(v^2)].$$
Applying the chain rule to differentiate $$\cos(v^3)$$ and $$\sin(v^2)$$, we
see that
$$m'(v) = \sin(v^2) [-\sin(v^3) \cdot 3v^2] + \cos(v^3) [\cos(v^2) \cdot 2v]$$ = $$-3v^2 \sin(v^2)\sin(v^3) + 2v \cos(v^3)\cos(v^2).$$
By the quotient rule,
$$h'(y) = \frac{(e^{4y}+1) \frac{d}{dy}[\cos(10y)] - \cos(10y) \frac{d}{dy}[e^{4y}+1]}{(e^{4y}+1)^2}.$$
Applying the chain rule to differentiate $$\cos(10y)$$ and $$e^{4y}$$, it
follows
$$h'(y) = \frac{(e^{4y}+1) [-10\sin(10y)] - \cos(10y) [4e^{4y}]}{(e^{4y}+1)^2}.$$
By the chain rule,
$$s'(z) = 2^{z^2\sec(z)} \ln(2) \frac{d}{dz}[z^2 \sec(z)]$$. Then by the
product rule, we find that
$$s'(z) = 2^{z^2\sec(z)} \ln(2) [z^2 \sec(z)\tan(z) + \sec(z) \cdot 2z].$$
If we first apply the chain rule to the outer function (the sine
function), note that $$c'(x) = \cos(e^{x^2}) \frac{d}{dx}[e^{x^2}].$$
Next, we again apply the chain rule, but this time to $$e^{x^2}$$, and get
$$c'(x) = \cos(e^{x^2}) [e^{x^2}\cdot 2x].$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use known derivative rules, including the chain rule, as needed to answer each of the following questions.
''a)'' Find an equation for the tangent line to the curve $$y= \sqrt{e^x + 3}$$
at the point where $$x=0$$.
''b)'' If $$\displaystyle s(t) = \frac{1}{(t^2+1)^3}$$ represents the position
function of a particle moving horizontally along an axis at time $$t$$
(where $$s$$ is measured in inches and $$t$$ in seconds), find the
particle’s instantaneous velocity at $$t=1$$. Is the particle moving to
the left or right at that instant?
''c)'' At sea level, air pressure is 30 inches of mercury. At an altitude of
$$h$$ feet above sea level, the air pressure, $$P$$, in inches of mercury,
is given by the function
$$P = 30 e^{-0.0000323 h}.$$
Compute $$dP/dh$$ and explain what this derivative function tells you
about air pressure, including a discussion of the units on $$dP/dh$$. In
addition, determine how fast the air pressure is changing for a pilot of
a small plane passing through an altitude of $$1000$$ feet.
''d)'' Suppose that $$f(x)$$ and $$g(x)$$ are differentiable functions and that the
following information about them is known:
If $$C(x)$$ is a function given by the formula $$f(g(x))$$, determine
$$C'(2)$$. In addition, if $$D(x)$$ is the function $$f(f(x))$$, find
$$D'(-1)$$.
Let $$f(x) = \sqrt{e^x + 3}.$$ Find $$f'(x)$$ and $$f'(0)$$.
Recall that $$s'(t)$$ tells us the instantaneous velocity at time $$t$$.
Note that the units on $$dP/dh$$ are inches of mercury per foot.
Since $$C(x) = f(g(x)),$$ it follows $$C'(x) = f'(g(x))g'(x).$$ What is
$$C'(2)$$?
Let $$f(x) = \sqrt{e^x + 3}.$$ Find $$f'(x)$$ and $$f'(0)$$ and recall the
point-slope form of the tangent line.
Recall that $$s'(t)$$ tells us the instantaneous velocity at time $$t$$.
Consider writing $$s(t) = (t^2 + 1)^{-3}$$ for ease of differentiation.
Note that the units on $$dP/dh$$ are inches of mercury per foot so this
derivative measures the instantaneous rate of change of barometric
pressure with respect to elevation.
Since $$C(x) = f(g(x)),$$ it follows $$C'(x) = f'(g(x))g'(x).$$ What is
$$C'(2)$$? What does the chain rule tell us about $$\frac{d}{dx}[f(f(x))]$$?
Let $$f(x) = \sqrt{e^x + 3}.$$ By the chain rule
$$f'(x) = \frac{e^x}{2\sqrt{e^x + 3}}$$, and thus $$f'(0) = \frac{1}{4}$$.
Note further that $$f(0) = \sqrt{1 + 3} = 2$$. The tangent line is
therefore the line through $$(0,2)$$ with slope $$1/4$$, which is
$$y - 2 = \frac{1}{4}(x-0).$$
Observe that $$s(t) = (t^2 + 1)^{-3}$$, and thus by the chain rule,
$$s'(t) = -3(t^2 + 1)^{-4}(2t).$$ We therefore see that
$$s'(1) = -\frac{6}{16} = -\frac{3}{8}$$ inches per second, so the
particle is moving left at the instant $$t = 1$$.
First, $$P'(h) = \frac{dP}{dh} = 30 e^{-0.0000323h} (-0.0000323).$$
Therefore, $$P'(1000) = 30 e^{-0.0323} (-0.0000323) \approx -0.000938$$
inches of mercury per foot. This tells us that the barometric pressure
is dropping very slightly for each additional foot of elevation gaine.
Since $$C(x) = f(g(x)),$$ it follows $$C'(x) = f'(g(x))g'(x).$$ Therefore,
$$C'(2) = f'(g(2))g'(2)$$. From the given table, $$g(2) = -1$$, so applying
this result and using additional given information,
$$C'(2) = f'(-1) g'(2) = (-5)(2) = -10.$$
For $$D(x) = f(f(x))$$, the chain rule tells us that
$$D'(x) = f'(f(x))f'(x)$$, so $$D'(-1) = f'(f(-1))f'(-1)$$. Using the given
table, it follows $$D'(-1) = f'(2)f'(-1) = (4)(-5) = -20.$$
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the basic functions $$f(x) = x^3$$ and $$g(x) = \sin(x)$$.
''a)'' Let $$h(x) = f(g(x))$$. Find the exact instantaneous rate of change of $$h$$
at the point where $$x = \frac{\pi}{4}.$$
''b)'' Which function is changing most rapidly at $$x = 0.25$$: $$h(x) = f(g(x))$$
or $$r(x) = g(f(x))$$? Why?
''c)'' Let $$h(x) = f(g(x))$$ and $$r(x) = g(f(x))$$. Which of these functions has
a derivative that is periodic? Why?
''2.'' Let $$u(x)$$ be a differentiable function. For each of the following
functions, determine the derivative. Each response will involve $$u$$
and/or $$u'$$.
''a)''
$$p(x) = e^{u(x)}$$
''c)''
$$r(x) = \cot(u(x))$$
''d)''
$$s(x) = u(\cot(x))$$
''3.'' Let functions $$p$$ and $$q$$ be the piecewise linear functions given by
their respective graphs in Figure [F:2.5.Ez3]. Use the graphs to answer
the following questions.
''a)'' Let $$C(x) = p(q(x))$$. Determine $$C'(0)$$ and $$C'(3)$$.
''b)'' Find a value of $$x$$ for which $$C'(x)$$ does not exist. Explain your
thinking.
''c)'' Let $$Y(x) = q(q(x))$$ and $$Z(x) = q(p(x))$$. Determine $$Y'(-2)$$ and
$$Z'(0)$$.
''4.'' If a spherical tank of radius 4 feet has $$h$$ feet of water present in
the tank, then the volume of water in the tank is given by the formula
$$V = \frac{\pi}{3} h^2(12-h).$$
''a)'' At what instantaneous rate is the volume of water in the tank changing
with respect to the ''height'' of the water at the instant $$h = 1$$? What
are the units on this quantity?
''b)'' Now suppose that the height of water in the tank is being regulated by
an inflow and outflow (e.g., a faucet and a drain) so that the height of
the water at time $$t$$ is given by the rule $$h(t) = \sin(\pi t) + 1$$,
where $$t$$ is measured in hours (and $$h$$ is still measured in feet). At
what rate is the height of the water changing with respect to time at
the instant $$t = 2$$?
''c)'' Continuing under the assumptions in (b), at what instantaneous rate is
the volume of water in the tank changing with respect to ''time'' at the
instant $$t = 2$$?
''d)'' What are the main differences between the rates found in (a) and (c)?
Include a discussion of the relevant units.
What is a composite function and how do we recognize its structure
algebraically?
Given a composite function $$C(x) = f(g(x))$$ that is built from
differentiable functions $$f$$ and $$g$$, how do we compute $$C'(x)$$ in terms
of $$f$$, $$g$$, $$f'$$, and $$g'$$? What is the statement of the Chain Rule?
In addition to learning how to differentiate a variety of basic
functions, we have also been developing our ability to understand how to
use rules to differentiate certain algebraic combinations of them. For
example, we not only know how to take the derivative of $$f(x) = \sin(x)$$
and $$g(x) = x^2$$, but now we can quickly find the derivative of each of
the following combinations of $$f$$ and $$g$$:
$$s(x) = 3x^2 - 5\sin(x),$$
$$p(x) = x^2 \sin(x)$$, and
$$q(x) = \frac{\sin(x)}{x^2}.$$
Finding $$s'$$ uses the sum and constant multiple rules, determining $$p'$$
requires the product rule, and $$q'$$ can be attained with the quotient
rule. Again, we note the importance of recognizing the algebraic
structure of a given function in order to find its derivative:
$$s(x) = 3g(x) - 5f(x)$$, $$p(x) = g(x) \cdot f(x)$$, and
$$q(x) =\frac{f(x)}{g(x)}.$$
There is one more natural way to algebraically combine basic functions,
and that is by ''composing'' them. For instance, let’s consider the
function
and observe that any input $$x$$ passes through a ''chain'' of functions. In
particular, in the process that defines the function $$C(x)$$, $$x$$ is
first squared, and then the sine of the result is taken. Using an arrow
diagram,
$$x \rightarrow x^2 \rightarrow \sin(x^2).$$
In terms of the elementary functions $$f$$ and $$g$$, we observe that $$x$$ is
first input in the function $$g$$, and then the result is used as the
input in $$f$$. Said differently, we can write
$$C(x) = f(g(x)) = \sin(x^2)$$
and say that $$C$$ is the ''composition'' of $$f$$ and $$g$$. We will refer to
$$g$$, the function that is first applied to $$x$$, as the ''inner'' function,
while $$f$$, the function that is applied to the result, is the ''outer''
function.
The main question that we answer in the present section is: given a
composite function $$C(x) = f(g(x))$$ that is built from differentiable
functions $$f$$ and $$g$$, how do we compute $$C'(x)$$ in terms of $$f$$, $$g$$,
$$f'$$, and $$g'$$? In the same way that the rate of change of a product of
two functions, $$p(x) = f(x) \cdot g(x)$$, depends on the behavior of both
$$f$$ and $$g$$, it makes sense intuitively that the rate of change of a
composite function $$C(x) = f(g(x))$$ will also depend on some combination
of $$f$$ and $$g$$ and their derivatives. The rule that describes how to
compute $$C'$$ in terms of $$f$$ and $$g$$ and their derivatives will be
called the ''chain rule''.
But before we can learn what the chain rule says and why it works, we
first need to be comfortable decomposing composite functions so that we
can correctly identify the inner and outer functions, as we did in the
example above with $$C(x) = \sin(x^2).$$
One of the challenges of differentiating a composite function is that it
often cannot be written in an alternate algebraic form. For instance,
the function $$C(x) = \sin(x^2)$$ cannot be expanded or otherwise
rewritten, so it presents no alternate approaches to taking the
derivative. But other composite functions can be expanded or simplified,
and these present a way to begin to explore how the chain rule might
have to work. To that end, we consider two examples of composite
functions that present alternate means of finding the derivative.
''Example 2.1'' Let $$f(x) = -4x + 7$$ and $$g(x) = 3x - 5$$. Determine a formula for
$$C(x) = f(g(x))$$ and compute $$C'(x)$$. How is $$C'$$ related to $$f$$ and $$g$$
and their derivatives?
''Solution:'' By the rules given for $$f$$ and $$g$$,
<center>
<table class="equationtable">
<tr><td> $$C(x) $$
</td><td>= $$f(g(x)) $$ </td></tr>
<tr><td></td><td>= $$f(3x-5) $$
</td></tr>
<tr><td></td><td>= $$-4(3x-5) + 7 $$
</td></tr>
<tr><td></td><td>= $$-12x + 20 + 7 $$
</td></tr>
<tr><td></td><td>= $$-12x + 27 $$
</td></tr>
Thus, $$C'(x) = -12$$. Noting that $$f'(x) = -4$$ and $$g'(x) = 3$$, we
observe that $$C'$$ appears to be the product of $$f'$$ and $$g'$$.
---
From one perspective, ''Example 2.1'' may be too elementary.
Linear functions are the simplest of all functions, and perhaps
composing linear functions (which yields another linear function) does
not exemplify the true complexity that is involved with differentiating
a composition of more complicated functions. At the same time, we should
remember the perspective that any differentiable function is ''locally''
linear, so any function with a derivative behaves like a line when
viewed up close. From this point of view, the fact that the derivatives
of $$f$$ and $$g$$ are multiplied to find the derivative of their
composition turns out to be a key insight.
We now consider a second example involving a nonlinear function to gain
further understanding of how differentiating a composite function
involves the basic functions that combine to form it.
''Example 2.2'' Let $$C(x) = \sin(2x).$$ Use the double angle identity to rewrite $$C$$ as a
product of basic functions, and use the product rule to find $$C'$$.
Rewrite $$C'$$ in the simplest form possible.
''Solution:'' By the double angle identity for the sine function,
$$C(x) = \sin(2x) = 2\sin(x)\cos(x).$$
Applying the product rule and simplifying,
$$C'(x) = 2\sin(x)(-\sin(x)) + \cos(x)(2\cos(x)) = 2(\cos^2(x) - \sin^2(x)).$$
Next, we recall that one of the double angle identities for the cosine
function tells us that
$$\cos(2x) = \cos^2(x) - \sin^2(x).$$
Substituting this result in our expression for $$C'(x)$$, we now have that
$$C'(x) = 2 \cos(2x).$$
---
So from ''Example 2.2'', we see that if $$C(x) = \sin(2x)$$,
then $$C'(x) = 2\cos(2x)$$. Letting $$g(x) = 2x$$ and $$f(x) = \sin(x)$$, we
observe that $$C(x) = f(g(x))$$. Moreover, with $$g'(x) = 2$$ and
$$f'(x) = \cos(x)$$, it follows that we can view the structure of $$C'(x)$$
as
$$C'(x) = 2\cos(2x) = g'(x) f'(g(x)).$$
In this example, we see that for the composite function
$$C(x) = f(g(x))$$, the derivative $$C'$$ is (as in the example involving
linear functions) constituted by multiplying the derivatives of $$f$$ and
$$g$$, but with the special condition that $$f'$$ is evaluated at $$g(x)$$,
rather than at $$x$$.
It makes sense intuitively that these two quantities are involved in
understanding the rate of change of a composite function: if we are
considering $$C(x) = f(g(x))$$ and asking how fast $$C$$ is changing at a
given $$x$$ value as $$x$$ changes, it clearly matters (a) how fast $$g$$ is
changing at $$x$$, as well as how fast $$f$$ is changing at the value of
$$g(x)$$. It turns out that this structure holds not only for the
functions in ''Example 2.1'' and ''Example 2.2'', but
indeed for all differentiable functions <<footnote [7] "Like other differentiation rules, the Chain Rule can be proved
formally using the limit definition of the derivative.">> as is stated in the Chain
Rule.
<table width="100%">
''Chain Rule:'' If $$g$$ is differentiable at $$x$$ and $$f$$ is differentiable at $$g(x)$$, then the composite function $$C$$ defined by $$C(x) = f(g(x))$$ is differentiable at $$x$$ and
$$C'(x) = f'(g(x)) g'(x).$$
As with the product and quotient rules, it is often helpful to think
verbally about what the chain rule says: “If $$C$$ is a composite function
defined by an outer function $$f$$ and an inner function $$g$$, then $$C'$$ is
given by the derivative of the outer function, evaluated at the inner
function, times the derivative of the inner function.”
At least initially in working particular examples requiring the chain
rule, it can also be helpful to clearly identify the inner function $$g$$
and outer function $$f$$, compute their derivatives individually, and then
put all of the pieces together to generate the derivative of the overall
composite function. To see what we mean by this, consider the function
The function $$r$$ is composite, with inner function $$g(x) = \tan(x)$$ and
outer function $$f(x) = x^2$$. Organizing the key information involving
$$f$$, $$g$$, and their derivatives, we have
<center>
<table width="100%">
<tr>
<td> $$f(x) = x^2$$ </td><td> $$g(x) = \tan(x)$$ </td>
</tr>
<tr>
<td> $$f'(x) = 2x$$ </td><td> $$g'(x) = \sec^2(x)$$ </td>
</tr>
<tr>
<td> $$f'(g(x)) = 2\tan(x)$$ </td><td> </td>
</tr>
</table>
Applying the chain rule, which tells us that $$r'(x) = f'(g(x)) g'(x)$$,
we find that for $$r(x) = (\tan(x))^2$$, its derivative is
$$r'(x) = 2\tan(x) \sec^2(x).$$
As a side note, we remark that another way to write $$r(x)$$ is
$$r(x) = \tan^2(x)$$. Observe that in this format, the composite nature of
the function is more implicit, but this is common notation for powers of
trigonometric functions: $$\cos^4(x)$$, $$\sin^5(x)$$, and $$\sec^2(x)$$ are
all composite functions, with the outer function a power function and
the inner function a trigonometric one.
The chain rule now substantially expands the library of functions we can
differentiate, as the following activity demonstrates.
!!Using multiple rules simultaneously
The chain rule now joins the sum, constant multiple, product, and
quotient rules in our collection of the different techniques for finding
the derivative of a function through understanding its algebraic
structure and the basic functions that constitute it. It takes
substantial practice to get comfortable with navigating multiple rules
in a single problem; using proper notation and taking a few extra steps
can be particularly helpful as well. We demonstrate with an example and
then provide further opportunity for practice in the following activity.
''Example 2.3:'' Find a formula for the derivative of $$h(t) = 3^{t^2 + 2t}\sec^4(t)$$.
''Solution:'' We first observe that the most basic structure of $$h$$ is that it is the
product of two functions: $$h(t) = a(t) \cdot b(t)$$ where
$$a(t) = 3^{t^2 + 2t}$$ and $$b(t) = \sec^4(t)$$. Therefore, we see that we
will need to use the product rule to differentiate $$h$$. When it comes
time to differentiate $$a$$ and $$b$$ in their roles in the product rule, we
observe that since each is a composite function, the chain rule will be
needed. We therefore begin by working separately to compute $$a'(t)$$ and
$$b'(t)$$.
Writing $$a(t) = f(g(t)) = 3^{t^2 + 2t}$$, and finding the derivatives of
$$f$$ and $$g$$, we have
<center>
<table width="100%">
<tr>
<td> $$f(t) = 3^t$$ </td><td> $$g(t) = t^2 + 2t$$ </td>
</tr>
<tr>
<td> $$f'(t) = 3^t \ln(3)$$ </td><td> $$g'(t) = 2t+1$$ </td>
</tr>
<tr>
<td> $$f'(g(t)) = 3^{t^2 + 2t}\ln(3)$$ </td><td> </td>
</tr>
</table>
Thus, by the chain rule, it follows that
$$a'(t) = f'(g(t))g'(t) = 3^{t^2 + 2t}\ln(3) (2t+1).$$
Turning next to $$b$$, we write $$b(t) = r(s(t)) = \sec^4(t)$$ and find the
derivatives of $$r$$ and $$g$$. Doing so,
<center>
<table width="100%">
<tr>
<td> $$r(t) = t^4$$ </td><td> $$s(t) = \sec(t)$$ </td>
</tr>
<tr>
<td> $$r'(t) = 4t^3$$ </td><td> $$s'(t) = \sec(t)\tan(t)$$ </td>
</tr>
<tr>
<td> $$r'(s(t)) = 4\sec^3(t)$$ </td><td> </td>
</tr>
</table>
By the chain rule, we now know that
$$b'(t) = r'(s(t))s'(t) = 4\sec^3(t)\sec(t)\tan(t) = 4 \sec^4(t) \tan(t).$$
Now we are finally ready to compute the derivative of the overall
function $$h$$. Recalling that $$h(t) = 3^{t^2 + 2t}\sec^4(t)$$, by the
product rule we have
$$h'(t) = 3^{t^2 + 2t} \frac{d}{dt}[\sec^4(t)] + \sec^4(t) \frac{d}{dt}[3^{t^2 + 2t}].$$
From our work above with $$a$$ and $$b$$, we know the derivatives of
$$3^{t^2 + 2t}$$ and $$\sec^4(t)$$, and therefore
$$h'(t) = 3^{t^2 + 2t} 4\sec^4(t) \tan(t) + \sec^4(t) 3^{t^2 + 2t}\ln(3) (2t+2).$$
The chain rule now adds substantially to our ability to do different
familiar problems that involve derivatives. Whether finding the equation
of the tangent line to a curve, the instantaneous velocity of a moving
particle, or the instantaneous rate of change of a certain quantity, if
the function under consideration involves a composition of other
functions, the chain rule is indispensable.
!!The composite version of basic function rules
As we gain more experience with differentiating complicated functions,
we will become more comfortable in the process of simply writing down
the derivative without taking multiple steps. We demonstrate part of
this perspective here by showing how we can find a composite rule that
corresponds to two of our basic functions. For instance, we know that
$$\frac{d}{dx}[\sin(x)] = \cos(x)$$. If we instead want to know
$$\frac{d}{dx}[\sin(u(x))],$$
where $$u$$ is a differentiable function of $$x$$, then this requires the
chain rule with the sine function as the outer function. Applying the
chain rule,
$$\frac{d}{dx}[\sin(u(x))] = \cos(u(x)) \cdot u'(x).$$
Similarly, since $$\frac{d}{dx}[a^x] = a^x \ln(a)$$, it follows by the
chain rule that
$$\frac{d}{dx}[a^{u(x)}] = a^{u(x)} \ln(a).$$
In the process of getting comfortable with derivative rules, an
excellent exercise is to write down a list of all basic functions whose
derivatives are known, list those derivatives, and then write the
corresponding chain rule for the composite version with the inner
function being an unknown function $$u(x)$$ and the outer function being
the known basic function. These versions of the chain rule are
particularly simple when the inner function is linear, since the
derivative of a linear function is a constant. For instance,
$$\frac{d}{dx} \left[ (5x+7)^{10} \right] = 10(5x+7)^9 \cdot 5,$$
$$\frac{d}{dx} \left[ \tan(17x) \right] = 17\sec^2(17x), $$
and
$$\frac{d}{dx} \left[ e^{-3x} \right] = -3e^{-3x}.$$
!!Summary
---
In this section, we encountered the following important ideas:
---
* A composite function is one where the input variable $$x$$ first passes through one function, and then the resulting output passes through another. For example, the function $$h(x) = 2^{\sin(x)}$$ is composite since $$x \rightarrow \sin(x) \rightarrow 2^{\sin(x)}.$$
* Given a composite function $$C(x) = f(g(x))$$ that is built from differentiable functions $$f$$ and $$g$$, the chain rule tells us that we compute $$C'(x)$$ in terms of $$f$$, $$g$$, $$f'$$, and $$g'$$ according to the formula $$C'(x) = f'(g(x)) g'(x).$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
For each function given below, identify its fundamental algebraic
structure. In particular, is the given function a sum, product,
quotient, or composition of basic functions? If the function is a
composition of basic functions, state a formula for the inner function
$$g$$ and the outer function $$f$$ so that the overall composite function
can be written in the form $$f(g(x))$$. If the function is a sum, product,
or quotient of basic functions, use the appropriate rule to determine
its derivative.
''a)'' $$h(x) = \tan(2^x)$$
''b)'' $$p(x) = 2^x \tan(x)$$
''c)'' $$r(x) = (\tan(x))^2$$
''d)'' $$m(x) = e^{\tan(x)}$$
''e)'' $$w(x) = \sqrt{x} + \tan(x)$$
''f)'' $$z(x) = \sqrt{\tan(x)}$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each function given below, find its derivative.
''a)'' $$h(x) = x^2\ln(x)$$
''b)'' $$p(t) = \frac{\ln(t)}{e^t + 1}$$
''c)'' $$s(y) = \ln(\cos(y) + 2)$$
''d)'' $$z(x) = \tan(\ln(x))$$
''e)'' $$m(z) = \ln(\ln(z))$$
Is $$h$$ a product, quotient, or composition of basic functions?
Is $$p$$ a product, quotient, or composition of basic functions?
Is $$s$$ a product, quotient, or composition of basic functions?
Is $$z$$ a product, quotient, or composition of basic functions?
Is $$m$$ a product, quotient, or composition of basic functions?
Try using the product rule.
Note that $$p$$ is a quotient of basic functions.
Observe that $$s$$ is a composite function with $$f(y) = \ln(y)$$ as the
outer function.
What is the outer function in this composite function? The inner
function?
The natural log function is being composed with itself. What are the
inner and outer functions?
$$h'(x) = x^2\cdot \frac{1}{x} + \ln(x) \cdot 2x = x + 2x\ln(x).$$
$$p'(t) = \frac{(e^t + 1) \frac{1}{t} - \ln(t) \cdot e^t}{(e^t + 1)^2}.$$
The chain rule tells us that
$$s'(y) = \frac{1}{\cos(y) + 2)} \cdot (-\sin(y)).$$
Again using the chain rule,
$$z'(x) = \sec^2(\ln(x)) \cdot \frac{1}{x}.$$
Noting that $$m$$ is composite with the natural logarithm function serving
as both the inner and outer function, we find that
$$m'(z) = \frac{1}{\ln(z)} \cdot \frac{1}{z}.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The following prompts in this activity will lead you to develop the
derivative of the inverse tangent function.
''a)'' Let $$r(x) = \arctan(x)$$. Use the relationship between the arctangent and
tangent functions to rewrite this equation using only the tangent
function.
''b)'' Differentiate both sides of the equation you found in (a). Solve the
resulting equation for $$r'(x)$$, writing $$r'(x)$$ as simply as possible in
terms of a trigonometric function evaluated at $$r(x)$$.
''c)'' Recall that $$r(x) = \arctan(x)$$. Update your expression for $$r'(x)$$ so
that it only involves trigonometric functions and the independent
variable $$x$$.
''d)'' Introduce a right triangle with angle $$\theta$$ so that
$$\theta = \arctan(x)$$. What are the three sides of the triangle?
''e)'' In terms of only $$x$$ and $$1$$, what is the value of $$\cos(\arctan(x))$$?
''f)'' Use the results of your work above to find an expression involving only
$$1$$ and $$x$$ for $$r'(x)$$.
Recall that for any function and its inverse, writing $$y = f^{-1}(x)$$ is
equivalent to writing $$f(y) = x$$.
Apply the chain rule to differentiate $$\tan(r(x))$$.
This question is only asking you to substitute the expression for $$r(x)$$
into what you found in (b).
Let the vertical leg of the triangle be $$x$$. What must the horizontal
leg be?
Recall that the cosine of an angle is the length of the adjacent leg
over the length of they hypotenuse.
Note that $$\cos^2(\alpha) = (\cos(\alpha))^2.$$
Recall that for any function and its inverse, writing $$y = f^{-1}(x)$$ is
equivalent to writing $$f(y) = x$$.
Remember that $$\frac{d}{dx}[\tan(u(x))] = \sec^2(u(x)) u'(x)$$.
This question is only asking you to substitute the expression for $$r(x)$$
into what you found in (b).
Let the vertical leg of the triangle be $$x$$. What must the horizontal
leg be? From there, how can you find the hypotenuse?
Recall that the cosine of an angle is the length of the adjacent leg
over the length of they hypotenuse.
Note that $$\cos^2(\alpha) = (\cos(\alpha))^2.$$
Since $$r(x) = \arctan(x)$$, it is equivalent to write $$\tan(r(x)) = x$$.
Differentiating, we have $$\frac{d}{dx}[\tan(r(x))] = \frac{d}{dx}[x]$$,
so $$\sec^2(r(x)) r'(x) = 1,$$
and thus $$r'(x) = \frac{1}{\sec^2(r(x))} = \cos^2(r(x)),$$
since $$\frac{1}{\sec(\alpha)} = \cos(\alpha).$$
Since $$r(x) = \arctan(x)$$, we now have that
$$r'(x) = \cos^2(\arctan(x)).$$
Letting $$\theta = \arctan(x)$$, it follows that we can view $$\theta$$ as
an angle in a right triangle with legs $$1$$ and $$x$$ (so that
$$\tan(\theta) = \frac{x}{1}$$, and thus by the Pythagorean Theorem, the
triangle’s hypotenuse is $$\sqrt{1+x^2}$$, as shown below.
<<figure 2_6_cosarctan.svg>>
To evaluate $$\cos(\arctan(x))$$, we use the right triangle developed in
(d) and observe that
$$\cos(\arctan(x)) = \frac{1}{\sqrt{1+x^2}}.$$
Finally, we recall that we know
$$r'(x) = \cos^2(\arctan(x)) = \left( \cos(\arctan(x)) \right)^2$$. Having
established that $$\cos(\arctan(x)) = \frac{1}{\sqrt{1+x^2}}$$, we now
have that $$r'(x) = \frac{1}{1+x^2}.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine the derivative of each of the following functions.
''a)'' $$\displaystyle f(x) = x^3 \arctan(x) + e^x \ln(x)$$
''b)'' $$\displaystyle p(t) = 2^{t\arcsin(t)}$$
''c)'' $$\displaystyle h(z) = (\arcsin(5z) + \arctan(4-z))^{27}$$
''d)'' $$\displaystyle s(y) = \cot(\arctan(y))$$
''e)'' $$\displaystyle m(v) = \ln(\sin^2(v)+1)$$
''f)'' $$\displaystyle g(w) = \arctan\left( \frac{\ln(w)}{1+w^2} \right)$$
Use the sum rule followed by the product rule on each term in the sum.
Use the chain rule first. What rule is needed to differentiate
$$t\arcsin(t)$$?
Note that the chain rule is needed to differentiate $$\arcsin(5z)$$.
You can use right triangle trigonometry to simplify the function first.
Use the chain rule twice.
Think about the overall structure of this function.
Use the sum rule followed by the product rule on each term in the sum.
Use the chain rule first. What rule is needed to differentiate
$$t\arcsin(t)$$?
Note that the chain rule is needed to differentiate $$\arcsin(5z)$$.
You can use right triangle trigonometry to simplify the function first.
Use the chain rule twice.
Think about the overall structure of this function.
By the sum rule followed by two applications of the product rule,
f’(x) & = & [x^3^ (x)] + [e^x^ (x)]\
Using the chain rule followed by the product rule,
p’(t) & = & 2^t(t)^ (2) [t(t)]\
& = & 2^t(t)^ (2) [t + (t) 1]
Applying the chain rule twice,
h’(z) & = & 27((5z) + (4-z))^26^ [(5z) + (4-z)]\
& = & 27((5z) + (4-z))^26^ + [4-z] ]\
& = & 27((5z) + (4-z))^26^\
Using right triangle trigonometry, it is straightforward to show that
$$\cot(\arctan(y)) = \frac{1}{y}$$. As such, $$s'(y) = -\frac{1}{y^2}.$$
By two applications of the chain rule (noting particularly that
$$\sin^2(v) = (\sin(v))^2$$, we have
By the chain rule followed by the quotient rule,
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Determine the derivative of each of the following functions. Use proper
notation and clearly identify the derivative rules you use.
''a)'' $$f(x) = \ln(2\arctan(x) + 3\arcsin(x) + 5)$$
''b)'' $$r(z) = \arctan(\ln(\arcsin(z)))$$
''c)'' $$q(t) = \arctan^2(3t) \arcsin^4(7t)$$
''d)'' $$g(v) = \ln\left( \frac{\arctan(v)}{\arcsin(v) + v^2} \right)$$
''2.'' Consider the graph of $$y = f(x)$$ provided in Figure [F:2.6.Ez4] and use
it to answer the following questions.
Use the provided graph to estimate the value of $$f'(1)$$.
''a)'' Use the provided graph to estimate the value of $$f'(1)$$.
''b)'' Sketch an approximate graph of $$y = f^{-1}(x)$$. Label at least three
distinct points on the graph that correspond to three points on the
graph of $$f$$.
''c)'' Based on your work in (a), what is the value of $$(f^{-1})'(-1)$$? Why?
Let $$f(x) = \frac{1}{4}x^3 + 4.$$
''3.'' Let $$f (x) = \frac{1}{4} x^3 + 4$$
''a)'' Sketch a graph of $$y = f(x)$$ and explain why $$f$$ is an invertible
function.
''b)'' Let $$g$$ be the inverse of $$f$$ and determine a formula for $$g$$.
''c)'' Compute $$f'(x)$$, $$g'(x)$$, $$f'(2)$$, and $$g'(6)$$. What is the special
relationship between $$f'(2)$$ and $$g'(6)$$? Why?
''4.'' Let $$h(x) = x + \sin(x)$$.
''a)'' Sketch a graph of $$y = h(x)$$ and explain why $$h$$ must be invertible.
''b)'' Explain why it does not appear to be algebraically possible to determine
a formula for $$h^{-1}$$.
''c)'' Observe that the point $$(\frac{\pi}{2}, \frac{\pi}{2} + 1)$$ lies on the
graph of $$y = h(x)$$. Determine the value of
$$(h^{-1})'(\frac{\pi}{2} + 1)$$.
What is the derivative of the natural logarithm function?
What are the derivatives of the inverse trigonometric functions
$$\arcsin(x)$$ and $$\arctan(x)$$?
If $$g$$ is the inverse of a differentiable function $$f$$, how is $$g'$$
computed in terms of $$f$$, $$f'$$, and $$g$$?
Much of mathematics centers on the notion of function. Indeed,
throughout our study of calculus, we are investigating the behavior of
functions, often doing so with particular emphasis on how fast the
output of the function changes in response to changes in the input.
Because each function represents a process, a natural question to ask is
whether or not the particular process can be reversed. That is, if we
know the output that results from the function, can we determine the
input that led to it? Connected to this question, we now also ask: if we
know how fast a particular process is changing, can we determine how
fast the inverse process is changing?
As we have noted, one of the most important functions in all of
mathematics is the natural exponential function $$f(x) = e^x$$. Because
the natural logarithm, $$g(x) = \ln(x)$$, is the inverse of the natural
exponential function, the natural logarithm is similarly important. One
of our goals in this section is to learn how to differentiate the
logarithm function, and thus expand our library of basic functions with
known derivative formulas. First, we investigate a more familiar setting
to refresh some of the basic concepts surrounding functions and their
inverses.
!!Basic facts about inverse functions
A function $$f : A \to B$$ is a rule that associates each element in the
set $$A$$ to one and only one element in the set $$B$$. We call $$A$$ the
''domain'' of $$f$$ and $$B$$ the ''codomain'' of $$f$$. If there exists a
function $$g : B \to A$$ such that $$g(f(a)) = a$$ for every possible choice
of $$a$$ in the set $$A$$ and $$f(g(b)) = b$$ for every $$b$$ in the set $$B$$,
then we say that $$g$$ is the ''inverse'' of $$f$$. We often use the notation
$$f^{-1}$$ (read “$$f$$-inverse”) to denote the inverse of $$f$$. Perhaps the
most essential thing to observe about the inverse function is that it
undoes the work of $$f$$. Indeed, if $$y = f(x)$$, then
$$f^{-1}(y) = f^{-1}(f(x)) = x,$$
and this leads us to another key observation: writing $$y = f(x)$$ and
$$x = f^{-1}(y)$$ say the exact same thing. The only difference between
the two equations is one of perspective – one is solved for $$x$$, while
the other is solved for $$y$$.
Here we briefly remind ourselves of some key facts about inverse
functions. For a function $$f : A \to B$$,
* $$f$$ has an inverse if and only if $$f$$ is one-to-one <<footnote "[1]" "A function ''f'' is ''one-to-one'' provided that no two distinct
inputs lead to the same output.">> and onto <<footnote "[2]" "A function ''f'' is ''onto'' provided that every possible element of the codomain can be realized as an output of the function for some choice of input from the domain.">>;
* provided $$f^{-1}$$ exists, the domain of $$f^{-1}$$ is the codomain of $$f$$, and the codomain of $$f^{-1}$$ is the domain of $$f$$;
* $$f^{-1}(f(x)) = x$$ for every $$x$$ in the domain of $$f$$ and $$f(f^{-1}(y)) = y$$ for every $$y$$ in the codomain of $$f$$;
* $$y = f(x)$$ if and only if $$x = f^{-1}(y)$$.
The last stated fact reveals a special relationship between the graphs
of $$f$$ and $$f^{-1}$$. In particular, if we consider $$y = f(x)$$ and a
point $$(x,y)$$ that lies on the graph of $$f$$, then it is also true that
$$x = f^{-1}(y)$$, which means that the point $$(y,x)$$ lies on the graph of
$$f^{-1}$$.
This shows us that the graphs of $$f$$ and $$f^{-1}$$ are the
reflections of one another across the line $$y = x$$, since reflecting
across $$y = x$$ is precisely the geometric action that swaps the
coordinates in an ordered pair. In <<figreference 2_6_InversePlot.svg>>, we see
this exemplified for the function $$y = f(x) = 2^x$$ and its inverse, with
the points $$(-1,\frac{1}{2})$$ and $$(\frac{1}{2},-1)$$ highlighting the
reflection of the curves across $$y = x$$.
<<figure 2_6_InversePlot.svg>>
To close our review of important facts about inverses, we recall that
the natural exponential function $$y = f(x) = e^x$$ has an inverse
function, and its inverse is the natural logarithm,
$$x = f^{-1}(y) = \ln(y)$$. Indeed, writing $$y = e^x$$ is interchangeable
with $$x = \ln(y)$$, plus $$\ln(e^x) = x$$ for every real number $$x$$ and $$e^{\ln(y)} = y$$ for every
positive real number $$y.$$
!!The derivative of the natural logarithm function
In what follows, we determine a formula for the derivative of
$$g(x) = \ln(x)$$. To do so, we take advantage of the fact that we know
the derivative of the natural exponential function, which is the inverse
of $$g$$. In particular, we know that writing $$g(x) = \ln(x)$$ is
equivalent to writing $$e^{g(x)} = x$$. Now we differentiate both sides of
this most recent equation. In particular, we observe that
$$\frac{d}{dx}\left[e^{g(x)}\right] = \frac{d}{dx}[x].$$
The righthand side is simply $$1$$; applying the chain rule to the left
side, we find that
Since our goal is to determine $$g'(x)$$, we solve for $$g'(x)$$, so
$$g'(x) = \frac{1}{e^{g(x)}}.$$
Finally, we recall that since $$g(x) = \ln(x)$$,
$$e^{g(x)} = e^{\ln(x)} = x$$, and thus
<table width="100%">
''Natural Logarithm:'' For all positive real numbers $$x$$, $$ \frac{d}{dx}[\ln(x)] = \frac{1}{x}.$$
</table>
This rule for the natural logarithm function now joins our list of other
basic derivative rules that we have already established. There are two
particularly interesting things to note about the fact that
$$\frac{d}{dx}[\ln(x)] = \frac{1}{x}$$. One is that this rule is
restricted to only apply to positive values of $$x$$, as these are the
only values for which the original function is defined. The other is
that for the first time in our work, differentiating a basic function of
a particular type has led to a function of a very different nature: the
derivative of the natural logarithm is not another logarithm, nor even
an exponential function, but rather a rational one.
Derivatives of logarithms may now be computed in concert with all of the
rules known to date. For instance, if $$f(t) = \ln(t^2 + 1)$$, then by the
chain rule, $$f'(t) = \frac{1}{t^2 + 1} \cdot 2t$$.
In addition to the important rule we have derived for the derivative of
the natural log functions, there are additional interesting connections
to note between the graphs of $$f(x) = e^x$$ and $$f^{-1}(x) = \ln(x)$$.
<<figure 2_6_LogExp.svg>>
In <<figreference 2_6_LogExp.svg>>, we are reminded that since the natural
exponential function has the property that its derivative is itself, the
slope of the tangent to $$y = e^x$$ is equal to the height of the curve at
that point. For instance, at the point $$A = (\ln(0.5), 0.5)$$, the slope
of the tangent line is $$m_A = 0.5$$, and at $$B = (\ln(5), 5)$$, the
tangent line’s slope is $$m_B = 5$$. At the corresponding points $$A'$$ and
$$B'$$ on the graph of the natural logarithm function (which come from
reflecting across the line $$y = x$$), we know that the slope of the
tangent line is the reciprocal of the $$x$$-coordinate of the point (since
$$\frac{d}{dx}[\ln(x)] = \frac{1}{x}$$). Thus, with
$$A' = (0.5, \ln(0.5))$$, we have $$m_{A'} = \frac{1}{0.5} = 2$$, and at
$$B' = (5, \ln(5))$$, $$m_{B'} = \frac{1}{5}$$.
In particular, we observe that $$m_{A'} = \frac{1}{m_A}$$ and
$$m_{B'} = \frac{1}{m_B}$$. This is not a coincidence, but in fact holds
for any curve $$y = f(x)$$ and its inverse, provided the inverse exists.
One rationale for why this is the case is due to the reflection across
$$y = x$$: in so doing, we essentially change the roles of $$x$$ and $$y$$,
thus reversing the rise and run, which leads to the slope of the inverse
function at the reflected point being the reciprocal of the slope of the
original function. At the close of this section, we will also look at
how the chain rule provides us with an algebraic formulation of this
general phenomenon.
!!Inverse trigonometric functions and their derivatives
Trigonometric functions are periodic, so they fail to be one-to-one, and
thus do not have inverses. However, if we restrict the domain of each
trigonometric function, we can force the function to be one-to-one. For
instance, consider the sine function on the domain
$$[-\frac{\pi}{2}, \frac{\pi}{2}]$$.
<<figure 2_6_arcsine.svg>>
Because no output of the sine function is repeated on this interval, the
function is one-to-one and thus has an inverse. In particular, if we
view $$f(x) = \sin(x)$$ as having domain $$[-\frac{\pi}{2}, \frac{\pi}{2}]$$
and codomain $$[-1,1]$$, then there exists an inverse function $$f^{-1}$$
such that
$$f^{-1} : [-1,1] \to [-\frac{\pi}{2}, \frac{\pi}{2}].$$
We call $$f^{-1}$$ the ''arcsine'' (or inverse sine) function and write
$$f^{-1}(y) = \arcsin(y).$$ It is especially important to remember that
writing
$$y = \sin(x) $$ and $$x = \arcsin(y)$$
say the exact same thing. We often read “the arcsine of $$y$$” as “the
angle whose sine is $$y$$.” For example, we say that $$\frac{\pi}{6}$$ is
the angle whose sine is $$\frac{1}{2}$$, which can be written more
concisely as $$\arcsin(\frac{1}{2}) = \frac{\pi}{6}$$, which is equivalent
to writing $$\sin(\frac{\pi}{6}) = \frac{1}{2}.$$
Next, we determine the derivative of the arcsine function. Letting
$$h(x) = \arcsin(x)$$, our goal is to find $$h'(x)$$. Since $$h(x)$$ is the
angle whose sine is $$x$$, it is equivalent to write
Differentiating both sides of the previous equation, we have
$$\frac{d}{dx}[\sin(h(x))] = \frac{d}{dx}[x],$$
and by the fact that the righthand side is simply $$1$$ and by the chain
rule applied to the left side,
$$\cos(h(x)) h'(x) = 1.$$
Solving for $$h'(x)$$, it follows that
$$h'(x) = \frac{1}{\cos(h(x))}.$$
Finally, we recall that $$h(x) = \arcsin(x)$$, so the denominator of
$$h'(x)$$ is the function $$\cos(\arcsin(x))$$, or in other words, “the
cosine of the angle whose sine is $$x$$.” A bit of right triangle
trigonometry allows us to simplify this expression considerably.
<<figure 2_6_cosarcsin.svg>>
Let’s say that $$\theta = \arcsin(x)$$, so that $$\theta$$ is the angle
whose sine is $$x$$. From this, it follows that we can picture $$\theta$$ as
an angle in a right triangle with hypotenuse $$1$$ and a vertical leg of
length $$x$$, as shown in <<figreference 2_6_cosarcsin.svg>>. The horizontal leg
must be $$\sqrt{1-x^2}$$, by the Pythagorean Theorem. Now, note
particularly that $$\theta = \arcsin(x)$$ since $$\sin(\theta) = x$$, and
recall that we want to know a different expression for
$$\cos(\arcsin(x))$$. From the figure,
$$\cos(\arcsin(x)) = \cos(\theta) = \sqrt{1-x^2}.$$
Thus, returning to our earlier work where we established that if
$$h(x) = \arcsin(x)$$, then $$h'(x) = \frac{1}{\cos(\arcsin(x))}$$, we have
now shown that
$$h'(x) = \frac{1}{\sqrt{1-x^2}}.$$
<table width="100%">
''Inverse sine:'' For all real numbers $$x$$ such that $$-1 < x < 1$$, $$ \frac{d}{dx}[\arcsin(x)] = \frac{1}{\sqrt{1-x^2}}.$$
While derivatives for other inverse trigonometric functions can be
established similarly, we primarily limit ourselves to the arcsine and
arctangent functions. With these rules added to our library of
derivatives of basic functions, we can differentiate even more functions
using derivative shortcuts. In <<reference 2.6.Act3>>, we see each of these
rules at work.
!!The link between the derivative of a function and the derivative of its inverse
In <<figreference 2_6_LogExp.svg>>, we saw an interesting relationship between the
slopes of tangent lines to the natural exponential and natural logarithm
functions at points that corresponded to reflection across the line
$$y = x$$. In particular, we observed that for a point such as
$$(\ln(2), 2)$$ on the graph of $$f(x) = e^x$$, the slope of the tangent
line at this point is $$f'(\ln(2)) = 2$$, while at the corresponding point
$$(2, \ln(2))$$ on the graph of $$f^{-1}(x) = \ln(x)$$, the slope of the
tangent line at this point is $$(f^{-1})'(2) = \frac{1}{2}$$, which is the
reciprocal of $$f'(\ln(2))$$.
That the two corresponding tangent lines having slopes that are
reciprocals of one another is not a coincidence. If we consider the
general setting of a differentiable function $$f$$ with differentiable
inverse $$g$$ such that $$y = f(x)$$ if and only if $$x = g(y)$$, then we know
that $$f(g(x)) = x$$ for every $$x$$ in the domain of $$f^{-1}$$.
Differentiating both sides of this equation with respect to $$x$$, we have
$$\frac{d}{dx} [f(g(x))] = \frac{d}{dx} [x],$$
Solving for $$g'(x)$$, we have $$g'(x) = \frac{1}{f'(g(x))}.$$ Here we see
that the slope of the tangent line to the inverse function $$g$$ at the
point $$(x,g(x))$$ is precisely the reciprocal of the slope of the tangent
line to the original function $$f$$ at the point
$$(g(x),f(g(x))) = (g(x),x)$$.
<<figure 2_6_GenInv.svg>>
To see this more clearly, consider the graph of the function $$y = f(x)$$
shown in <<figreference 2_6_GenInv.svg>>, along with its inverse $$y = g(x)$$. Given
a point $$(a,b)$$ that lies on the graph of $$f$$, we know that $$(b,a)$$ lies
on the graph of $$g$$; said differently, $$f(a) = b$$ and $$g(b) = a$$. Now,
applying the rule that $$g'(x) = 1/f'(g(x))$$ to the value $$x = b$$, we
have
$$g'(b) = \frac{1}{f'(g(b))} = \frac{1}{f'(a)},$$
which is precisely what we see in the figure: the slope of the tangent
line to $$g$$ at $$(b,a)$$ is the reciprocal of the slope of the tangent
line to $$f$$ at $$(a,b)$$, since these two lines are reflections of one
another across the line $$y = x$$.
<table width="100%">
''Derivative of an inverse function:''</span> Suppose that $$f$$ is
a differentiable function with inverse $$g$$ and that $$(a,b)$$ is a point
that lies on the graph of $$f$$ at which $$f'(a) \ne 0$$. Then
$$g'(b) = \frac{1}{f'(a)}.$$
<br>
<center>
{{g'(b)}}
</center>
<br>
More generally, for any $$x$$ in the domain of $$g'$$, we have $$g'(x) = 1/f'(g(x)).$$
<br>
<br>
The rules we derived for $$\ln(x)$$, $$\arcsin(x)$$, and $$\arctan(x)$$ are
all just specific examples of this general property of the derivative of
an inverse function. For example, with $$g(x) = \ln(x)$$ and $$f(x) = e^x$$,
it follows that
$$g'(x) = \frac{1}{f'(g(x))} = \frac{1}{e^{\ln(x)}} = \frac{1}{x}.$$
!!Summary
---
In this section, we encountered the following important ideas:
---
* For all positive real numbers $$x$$, $$\frac{d}{dx}[\ln(x)] = \frac{1}{x}$$.
* For all real numbers $$x$$ such that $$-1 \le x \le 1$$, $$\frac{d}{dx}[\arcsin(x)] = \frac{1}{\sqrt{1-x^2}}$$. In addition, for all real numbers $$x$$, $$\frac{d}{dx}[\arctan(x)] = \frac{1}{1+x^2}$$.
* If $$g$$ is the inverse of a differentiable function $$f$$, then for any point $$x$$ in the domain of $$g'$$,\ $$g'(x) = \frac{1}{f'(g(x))}.$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
The equation $$y = \frac{5}{9}(x-32)$$ relates a temperature given in $$x$$
degrees Fahrenheit to the corresponding temperature $$y$$ measured in
degrees Celcius.
''a)'' Solve the equation $$y = \frac{5}{9}(x-32)$$ for $$x$$ to write $$x$$
(Fahrenheit temperature) in terms of $$y$$ (Celcius temperature).
''b)'' Let $$C(x) = \frac{5}{9}(x-32)$$ be the function that takes a Fahrenheit
temperature as input and produces the Celcius temperature as output. In
addition, let $$F(y)$$ be the function that converts a temperature given
in $$y$$ degrees Celcius to the temperature $$F(y)$$ measured in degrees
Fahrenheit. Use your work in (a) to write a formula for $$F(y)$$.
''c)'' Next consider the new function defined by $$p(x) = F(C(x))$$. Use the
formulas for $$F$$ and $$C$$ to determine an expression for $$p(x)$$ and
simplify this expression as much as possible. What do you observe?
''d)'' Now, let $$r(y) = C(F(y))$$. Use the formulas for $$F$$ and $$C$$ to determine
an expression for $$r(y)$$ and simplify this expression as much as
possible. What do you observe?
''e)''
What is the value of $$C'(x)$$? of $$F'(y)$$? How do these values appear to
be related?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the curve defined by the equation $$x = y^5 - 5y^3 + 4y$$, whose
graph is pictured in <<figreference 2_7_Act1.svg>>
''a)'' Explain why it is not possible to express $$y$$ as an explicit function of
$$x$$.
''b)'' Use implicit differentiation to find a formula for $$dy/dx$$.
''c)'' Use your result from part (b) to determine all of the points at
''d)'' which the graph of $$x = y^5 - 5y^3 + 4y$$ has a vertical tangent line.
Does the graph pass the vertical line test?
Note, for instance, that $$\frac{d}{dx}[y^5] = 5y^4$$.
Remember the meaning of $$\left. \frac{dy}{dx} \right|_{(0,1)}$$.
What is the slope of a vertical line?
Does the graph pass the vertical line test? Can you solve the degree 5
equation $$x = y^5 - 5y^3 + 4y$$ for $$y$$?
Note, for instance, that $$\frac{d}{dx}[y^5] = 5y^4$$. After
differentiating, factor to get a single instance of $$\frac{dy}{dx}$$ on
one side of the equation.
Remember the meaning of $$\left. \frac{dy}{dx} \right|_{(0,1)}$$ and that
point-slope form of a line is $$y - y_0 = m(x-x_0)$$.
A line is vertical if and only if its slope is undefined. What point(s)
make $$\frac{dy}{dx}$$ undefined?
Because the graph of the curve fails the vertical line test, $$y$$ cannot
be a function of $$x$$. This also confirms our intuition that there is not
an algebraic means by which we can rearrange the equation
$$x = y^5 - 5y^3 + 4y$$ to write $$y$$ in terms of $$x$$.
We differentiate implicitly, taking the derivative of each side with
respect to $$x$$, $$\frac{d}{dx}[x ]= \frac{d}{dx}[y^5 - 5y^3 + 4y],$$
and evaluate the elementary derivative on the left and use the sum rule
on the right to find that
$$1 = \frac{d}{dx}[y^5] - \frac{d}{dx}[5y^3] + \frac{d}{dx}[4y].$$
By the chain and constant multiple rules, viewing $$y$$ as a function of
$$x$$, we now have
$$1 = 5y^4\frac{dy}{dx} - 15y^2\frac{dy}{dx} + 4\frac{dy}{dx}.$$
Factoring, $$1 = \frac{dy}{dx}(5y^4 - 15y^2 + 4),$$
and therefore $$\frac{dy}{dx} = \frac{1}{5y^4 - 15y^2 + 4}.$$
To find an equation of the line tangent to the graph of
$$x = y^5 - 5y^3 + 4y$$ at the point $$(0, 1)$$, we only need the slope of
the tangent line. Hence we compute
$$\left. \frac{dy}{dx} \right|_{(0,1)} = \frac{1}{5 \cdot 1^4 - 15 \cdot 1^2 + 4} = -\frac{1}{6}.$$
Therefore, the equation of the tangent line is
$$y - 1 = -\frac{1}{6}(x-0)$$ or $$y = -\frac{1}{6}x + 1$$.
Since a line is vertical whenever its slope is undefined, we seek all
points $$(x,y)$$ that make $$\frac{dy}{dx}$$ undefined. This will occur
precisely when the denominator, $$5y^4 - 15y^2 + 4$$, is zero. Using a
graphing utility or computer algebra system to solve the equation
$$5y^4 - 15y^2 + 4 = 0$$, we find that this happens at the four
approximate $$y$$-values $$y \approx \pm 0.543912, \pm 1.64443$$. For each
such value, we use the original equation $$x = y^5 - 5y^3 + 4y$$ to find
the $$x$$-value of the point. Doing so, we have established that there are
four points at which the tangent line is vertical, and they are
approximately $$(1.418697,0.543912)$$, $$(-1.418697,-0.543912)$$,
$$(-3.63143, 1.64443)$$, and $$(3.63143, -1.64443)$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the curve defined by the equation
$$y(y^2-1)(y-2) = x(x-1)(x-2)$$, whose graph is pictured in
<<figreference 2_7_Act2.svg>>.
Through implicit differentiation, it can be shown that
$$\frac{dy}{dx} = \frac{(x-1)(x-2) + x(x-2) + x(x-1)}{(y^2-1)(y-2) + 2y^2(y-2) + y(y^2-1)}.$$
Use this fact to answer each of the following questions.
''a)'' Determine all points $$(x,y)$$ at which the tangent line to the curve is
horizontal. (Use technology appropriately to find the needed zeros of
the relevant polynomial function.)
''b)'' Determine all points $$(x,y)$$ at which the tangent line is vertical. (Use
technology appropriately to find the needed zeros of the relevant
polynomial function.)
''c)'' Find the equation of the tangent line to the curve at one of the points
where $$x = 1$$.
Note that the numerator of $$\frac{dy}{dx}$$ is a quadratic function of
$$x$$.
The denominator of $$\frac{dy}{dx}$$ is a cubic function of $$y$$.
When $$x = 1$$, then $$y$$ must satisfy the equation $$y(y^2-1)(y-2) = 0$$.
Note that the numerator of $$\frac{dy}{dx}$$ is a quadratic function of
$$x$$. What are its zeros?
The denominator of $$\frac{dy}{dx}$$ is a cubic function of $$y$$. Use
appropriate technology to determine the zeros of this function.
When $$x = 1$$, then $$y$$ must satisfy the equation $$y(y^2-1)(y-2) = 0$$.
Evaluate $$\frac{dy}{dx}$$ at one such point and use your result
appropriately.
To find where the tangent line to the curve is horizontal, we set
$$\frac{dy}{dx} = 0$$, which requires that the numerator be zero, or in
other words that $$(x-1)(x-2) + x(x-2) + x(x-1) = 0.$$
Expanding and combining like terms, we find that $$3x^2 - 6x + 2 = 0$$,
which occurs where
$$x = \frac{3\pm\sqrt{3}}{3} \approx 0.42265, 1.57735$$. From the graph in
Figure [F:2.7.Act2], we observe that at each such $$x$$-value, there are
several corresponding $$y$$-values for which the tangent line will be
horizontal. For instance, when $$x = 0.42265$$, then $$y$$ must satisfy the
equation $$y(y^2-1)(y-2) = 0.42265(0.42265-1)(0.42265-2) = 0.384900.$$
Because this is a quartic equation (degree 4) equation in $$y$$, we use
computational technology to help us find the solutions. Doing so, we
find four approximate values for $$y$$,
$$y \approx -1.05782, 0.229478, 0.770522, 2.05782$$, and thus our
estimates for four points at which the tangent line is horizontal are
$$(0.42265, -1.05782); (0.42265, 0.229478); (0.42265, 0.770522); (0.42265, 2.05782).$$
Similar work can be done to find the four points at which the tangent
line is horizontal when $$x \approx 1.57735$$.
The tangent line to the curve is vertical wherever $$\frac{dy}{dx}$$ is
undefined, which occurs precisely where
$$(y^2-1)(y-2) + 2y^2(y-2) + y(y^2-1) = 0.$$
Expanding and combining like terms, we see that we need to solve the
cubic equation $$4y^3 - 6y^2 - 2y + 2 = 0$$; using a computer algebra
system, we find that this occurs when
$$y = \frac{1}{2}, \frac{1 \pm \sqrt{5}}{2}.$$ It now remains to find the
$$x$$-coordinate that corresponds to each such $$y$$-value. For instance,
when $$y = \frac{1}{2}$$, $$x$$ must satisfy
$$\frac{1}{2}(\frac{1}{4}-1)(\frac{1}{2}-2) = x(x-1)(x-2),$$
or in other words, $$x^3 - 3x^2 + 2x = \frac{9}{16}.$$ Here, too, we use
technology to determine that there is only one such $$x$$, and
$$x \approx 2.21028$$. Similar work can be done to find the $$x$$-values
that correspond to $$y = \frac{1 \pm \sqrt{5}}{2}$$.
There are four points on the curve where $$x = 1$$, which correspond to
the $$y$$-values that satisfy $$y(y^2-1)(y-2) = 0$$: $$(1,0)$$, $$(1,1)$$,
$$(1,-1)$$, $$(1,2)$$. We choose the point $$(1,1)$$ and evaluate
$$\frac{dy}{dx}$$ at this point. Doing so,
$$\left.\frac{dy}{dx} \right|_{(1,1)} = \frac{(1-1)(1-2) + 1(1-2) + 1(1-1)}{(1^2-1)(1-2) + 2\cdot 1^2(1-2) + 1(1^2-1)} = \frac{-1}{-2} = \frac{1}{2}.$$
Thus, the equation of the tangent line to the curve at $$(1,1)$$ is
$$y - 1 = \frac{1}{2}(x-1)$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following curves, use implicit differentiation to find
$$dy/dx$$ and determine the equation of the tangent line at the given
point.
''a)''
$$x^3 - y^3 = 6xy$$, $$(-3,3)$$
''b)''
$$\sin(y) + y = x^3 + x$$, $$(0,0)$$
''c)''
$$x e^{-xy} = y^2$$, $$(0.571433,1)$$
With $$y$$ being a function of $$x$$, $$\frac{d}{dx}[\sin(y)]$$ requires the
chain rule.
To calculate $$\frac{d}{dx}[x e^{-xy}]$$, first use the product rule and
temporarily defer computing $$\frac{d}{dx}[e^{-xy}]$$.
Note that $$\frac{d}{dx}[6xy]$$ requires the product rule; don’t forget to
use the chain rule for $$\frac{d}{dx}[y^3]$$.
With $$y$$ being a function of $$x$$, $$\frac{d}{dx}[\sin(y)]$$ requires the
chain rule.
To calculate $$\frac{d}{dx}[x e^{-xy}]$$, first use the product rule; when
you compute compute $$\frac{d}{dx}[e^{-xy}]$$, note that this uses the
chain rule and that differentiating the inner function will again use
the product rule.
Differentiating with respect to $$x$$,
$$\frac{d}{dx}[x^3 - y^3] = \frac{d}{dx}[6xy],$$
so that by the chain and product rules we have
$$3x^2 - 3y^2 \frac{dy}{dx} = 6x\frac{dy}{dx}+ 6y.$$
Rearranging to get all terms with $$\frac{dy}{dx}$$ on the same side, it
follows that $$-3y^2 \frac{dy}{dx} - 6x\frac{dy}{dx} = 6y-3x^2,$$
and thus $$\frac{dy}{dx}(-3y^2 - 6x) = 6y-3x^2.$$
Finally, we have established that
$$\frac{dy}{dx} = \frac{6y-3x^2}{-3y^2 - 6x},$$
so evaluating at $$(-3,3)$$, we have
$$\left. \frac{dy}{dx} \right|_{(-3,3)} = \frac{6(3)-3(-3)^2}{-3(3)^2 - 6(3)} = -1.$$
Thus, the tangent line has equation $$y - 3 = -1(x+3).$$
After differentiating with respect to $$x$$, we have
$$\cos(y) \frac{dy}{dx} + \frac{dy}{dx} = 3x^2 + 1.$$
Taking the usual steps to solve for $$\frac{dy}{dx}$$, we find that
$$\frac{dy}{dx} = \frac{3x^2 + 1}{\cos(y) + 1}.$$
Evaluating the slope of the tangent line at $$(0,0)$$, we have
$$\left. \frac{dy}{dx} \right|_{(0,0)} = \frac{1}{2},$$
and thus the tangent line at $$(0,0)$$ has equation $$y = \frac{1}{2}x$$.
When we differentiate both sides with respect to $$x$$,
$$\frac{d}{dx}[x e^{-xy}] = \frac{d}{dx}[y^2],$$
we first observe that the product rule is needed on the left and the
chain rule on the right. Applying those rules, we have
$$x\frac{d}{dx}[e^{-xy}] + e^{-xy} = 2y\frac{dy}{dx}.$$
Next, we apply the chain rule to differentiate $$e^{-xy}$$, which yields
$$xe^{-xy}\frac{d}{dx}[-xy] + e^{-xy} = 2y\frac{dy}{dx}.$$
Finally, to complete the process of differentiation, we use the product
rule and get
$$xe^{-xy}(-x\frac{dy}{dx} - y) + e^{-xy} = 2y\frac{dy}{dx}.$$
To solve for $$\frac{dy}{dx}$$, we first expand to have
$$-x^2e^{-xy}\frac{dy}{dx} - xye^{-xy} + e^{-xy} = 2y\frac{dy}{dx},$$
and then the usual algebraic work may be done to deduce that
$$\frac{dy}{dx} = \frac{-xye^{-xy} + e^{-xy}}{x^2e^{-xy}+2}.$$
$$(0.571433,1)$$, it follows that the slope of the tangent line is
$$\left. \frac{dy}{dx} \right|_{(0.571433,1)} = \frac{-0.571433 e^{-0.571433} + e^{-0.571433}}{(0.571433)^2e^{-0.571433}+2} \approx 0.110794.$$
Thus, the tangent line is given by $$y - 1 = 0.110794(x - 0.571433)$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the curve given by the equation
$$2y^3+y^2-y^5 = x^4 - 2x^3 + x^2$$. Find all points at which the tangent
line to the curve is horizontal or vertical.
''2.'' For the curve given by the equation $$\sin(x+y) + \cos(x-y) = 1$$, find
the equation of the tangent line to the curve at the point
$$(\frac{\pi}{2}, \frac{\pi}{2})$$.
''3.'' Implicit differentiation enables us a different perspective from which
to see why the rule $$\frac{d}{dx} [a^x] = a^x \ln(a)$$ holds, if we
assume that $$\frac{d}{dx}[\ln(x)] = \frac{1}{x}$$. This exercise leads
you through the key steps to do so.
''a)'' Let $$y = a^x$$. Rewrite this equation using the natural logarithm
function to write $$x$$ in terms of $$y$$ (and the constant $$a$$).
''b)'' Differentiate both sides of the equation you found in (a) with respect
to $$x$$, keeping in mind that $$y$$ is implicitly a function of $$x$$.
''c)'' Solve the equation you found in (b) for $$\frac{dy}{dx}$$, and then use
the definition of $$y$$ to write $$\frac{dy}{dx}$$ solely in terms of $$x$$.
What have you found?
What does it mean to say that a curve is an implicit function of $$x$$,
rather than an explicit function of $$x$$?
How does implicit differentiation enable us to find a formula for
$$\frac{dy}{dx}$$ when $$y$$ is an implicit function of $$x$$?
In the context of an implicit curve, how can we use $$\frac{dy}{dx}$$ to
answer important questions about the tangent line to the curve?
In all of our studies with derivatives to date, we have worked in a
setting where we can express a formula for the function of interest
explicitly in terms of $$x$$. But there are many interesting curves that
are determined by an equation involving $$x$$ and $$y$$ for which it is
impossible to solve for $$y$$ in terms of $$x$$.
Perhaps the simplest and most natural of all such curves are circles.
Because of the circle’s symmetry, for each $$x$$ value strictly between
the endpoints of the horizontal diameter, there are two corresponding
$$y$$-values. For instance, in <<figreference 2_7_Intro.svg>>, we have labeled
$$A = (-3,\sqrt{7})$$ and $$B = (-3,-\sqrt{7})$$, and these points
demonstrate that the circle fails the vertical line test. Hence, it is
impossible to represent the circle through a single function of the form
$$y = f(x)$$. At the same time, portions of the circle can be represented
explicitly as a function of $$x$$, such as the highlighted arc that is
magnified in the center of <<figreference 2_7_Intro.svg>>. Moreover, it is evident
that the circle is locally linear, so we ought to be able to find a
tangent line to the curve at every point; thus, it makes sense to wonder
if we can compute $$\frac{dy}{dx}$$ at any point on the circle, even
though we cannot write $$y$$ explicitly as a function of $$x$$. Finally, we
note that the righthand curve in <<figreference 2_7_Intro.svg>> is called a
''lemniscate'' and is just one of many fascinating possibilities for
implicitly given curves.
In working with implicit functions, we will often be interested in
finding an equation for $$\frac{dy}{dx}$$ that tells us the slope of the
tangent line to the curve at a point $$(x,y)$$. To do so, it will be
necessary for us to work with $$y$$ while thinking of $$y$$ as a function of
$$x$$, but without being able to write an explicit formula for $$y$$ in
terms of $$x$$. The following preview activity reminds us of some ways we
can compute derivatives of functions in settings where the function’s
formula is not known. For instance, recall the earlier example
$$\frac{d}{dx}[e^{u(x)}] = e^{u(x)}u'(x)$$.
!!Implicit Differentiation
Because a circle is perhaps the simplest of all curves that cannot be
represented explicitly as a single function of $$x$$, we begin our
exploration of implicit differentiation with the example of the circle
given by $$x^2 + y^2 = 16.$$ It is visually apparent that this curve is
locally linear, so it makes sense for us to want to find the slope of
the tangent line to the curve at any point, and moreover to think that
the curve is differentiable. The big question is: how do we find a
formula for $$\frac{dy}{dx}$$, the slope of the tangent line to the circle
at a given point on the circle? By viewing $$y$$ as an ''implicit''<<footnote [10] "Essentially the idea of an implicit function is that it can be
broken into pieces where each piece can be viewed as an explicit
function of ''x'', and the combination of those pieces constitutes the
full implicit function. For the circle, we could choose to take the
top half as one explicit function of ''x'', and the bottom half as
another.">>
function of $$x$$, we essentially think of $$y$$ as some function whose
formula $$f(x)$$ is unknown, but which we can differentiate. Just as $$y$$
represents an unknown formula, so too its derivative with respect to
$$x$$, $$\frac{dy}{dx}$$, will be (at least temporarily) unknown.
Consider the equation $$x^2 + y^2 = 16$$ and view $$y$$ as an unknown
differentiable function of $$x$$. Differentiating both sides of the
equation with respect to $$x$$, we have
$$\frac{d}{dx} \left[ x^2 + y^2 \right] = \frac{d}{dx} \left[ 16 \right].$$
On the right, the derivative of the constant 16 is 0, and on the left we
can apply the sum rule, so it follows that
$$\frac{d}{dx} \left[ x^2 \right] + \frac{d}{dx} \left[ y^2 \right] = 0.$$
Next, it is essential that we recognize the different roles being played
by $$x$$ and $$y$$. Since $$x$$ is the independent variable, it is the
variable with respect to which we are differentiating, and thus
$$\frac{d}{dx} \left[x^2\right] = 2x.$$ But $$y$$ is the dependent variable
and $$y$$ is an implicit function of $$x$$. Thus, when we want to compute
$$\frac{d}{dx}[y^2]$$ it is identical to the situation in <<reference 2.7.PA1>> where we computed $$\frac{d}{dx}[f(x)^2]$$. In both
situations, we have an unknown function being squared, and we seek the
derivative of the result. This requires the chain rule, by which we find
that $$\frac{d}{dx}[y^2] = 2y^1 \frac{dy}{dx}.$$ Therefore, continuing our
work in differentiating both sides of $$x^2 + y^2 = 16$$, we now have that
$$2x + 2y \frac{dy}{dx} = 0.$$
Since our goal is to find an expression for $$\frac{dy}{dx}$$, we solve
this most recent equation for $$\frac{dy}{dx}$$. Subtracting $$2x$$ from
both sides and dividing by $$2y$$,
$$\frac{dy}{dx} = -\frac{2x}{2y} = -\frac{x}{y}.$$
<<figure 2_7_Circle.svg>>
There are several important things to observe about the result that
$$\frac{dy}{dx} = -\frac{x}{y}$$. First, this expression for the
derivative involves both $$x$$ and $$y$$. It makes sense that this should be
the case, since for each value of $$x$$ between $$-4$$ and $$4$$, there are
two corresponding points on the circle, and the slope of the tangent
line is different at each of these points. Second, this formula is
entirely consistent with our understanding of circles. If we consider
the radius from the origin to the point $$(a,b)$$, the slope of this line
segment is $$m_r = \frac{b}{a}$$. The tangent line to the circle at
$$(a,b)$$ will be perpendicular to the radius, and thus have slope
$$m_t = -\frac{a}{b}$$, as shown in <<figreference 2_7_Circle.svg>>. Finally, the
slope of the tangent line is zero at $$(0,4)$$ and $$(0,-4)$$, and is
undefined at $$(-4,0)$$ and $$(4,0)$$; all of these values are consistent
with the formula $$\frac{dy}{dx} = -\frac{x}{y}$$.
We consider the following more complicated example to investigate and
demonstrate some additional algebraic issues that arise in problems
involving implicit differentiation.
''Example 2.4'' For the curve given implicitly by $$x^3 + y^2 - 2xy = 2$$, shown in
<<figreference 2_7_Ex1.svg>> , find the slope of the tangent line at $$(-1,1)$$.
''Solution.'' We begin by differentiating the curve’s equation implicitly. Taking the
derivative of each side with respect to $$x$$,
$$\frac{d}{dx}\left[ x^3 + y^2 - 2xy \right] = \frac{d}{dx} \left[ 2 \right],$$
by the sum rule and the fact that the derivative of a constant is zero,
we have
$$\frac{d}{dx}[x^3] + \frac{d}{dx}[y^2] - \frac{d}{dx}[2xy] = 0.$$
For the three derivatives we now must execute, the first uses the simple
power rule, the second requires the chain rule (since $$y$$ is an implicit
function of $$x$$), and the third necessitates the product rule (again
since $$y$$ is a function of $$x$$). Applying these rules, we now find that
$$3x^2 + 2y\frac{dy}{dx} - [2x \frac{dy}{dx} + 2y] = 0.$$
Remembering that our goal is to find an expression for $$\frac{dy}{dx}$$
so that we can determine the slope of a particular tangent line, we want
to solve the preceding equation for $$\frac{dy}{dx}$$. To do so, we get
all of the terms involving $$\frac{dy}{dx}$$ on one side of the equation
and then factor. Expanding and then subtracting $$3x^2 - 2y$$ from both
sides, it follows that
$$2y\frac{dy}{dx} - 2x \frac{dy}{dx}= 2y - 3x^2.$$
Factoring the left side to isolate $$\frac{dy}{dx}$$, we have
$$\frac{dy}{dx}(2y - 2x) = 2y - 3x^2.$$
Finally, we divide both sides by $$(2y - 2x)$$ and conclude that
$$\frac{dy}{dx} = \frac{2y-3x^2}{2y-2x}.$$
Here again, the expression for $$\frac{dy}{dx}$$ depends on both $$x$$ and
$$y$$. To find the slope of the tangent line at $$(-1,1)$$, we substitute
this point in the formula for $$\frac{dy}{dx}$$, using the notation
$$\left. \frac{dy}{dx} \right|_{(-1,1)} = \frac{2(1)-3(-1)^2}{2(1)-2(-1)} = -\frac14.$$
This value matches our visual estimate of the slope of the tangent line
shown in <<figreference 2_7_Ex1.svg>>.
''Example 2.4'' shows that it is possible when differentiating
implicitly to have multiple terms involving $$\frac{dy}{dx}$$. Regardless
of the particular curve involved, our approach will be similar each
time. After differentiating, we expand so that each side of the equation
is a sum of terms, some of which involve $$\frac{dy}{dx}$$. Next, addition
and subtraction are used to get all terms involving $$\frac{dy}{dx}$$ on
one side of the equation, with all remaining terms on the other.
Finally, we factor to get a single instance of $$\frac{dy}{dx}$$, and then
divide to solve for $$\frac{dy}{dx}$$.
Note, too, that since $$\frac{dy}{dx}$$ is often a function of both $$x$$
and $$y$$, we use the notation
$$\left. \frac{dy}{dx} \right|_{(a,b)}$$
to denote the evaluation of $$\frac{dy}{dx}$$ at the point $$(a,b)$$. This
is analogous to writing $$f'(a)$$ when $$f'$$ depends on a single variable.
Finally, there is a big difference between writing $$\frac{d}{dx}$$ and
$$\frac{dy}{dx}$$. For example,
$$\frac{d}{dx}[x^2 + y^2]$$
gives an instruction to take the derivative with respect to $$x$$ of the
quantity $$x^2 + y^2$$, presumably where $$y$$ is a function of $$x$$. On the
other hand,
$$\frac{dy}{dx}(x^2 + y^2)$$
means the product of the derivative of $$y$$ with respect to $$x$$ with the
quantity $$x^2 + y^2$$. Understanding this notational subtlety is
essential.
The following activities present opportunities to explore several
different problems involving implicit differentiation.
Two natural questions to ask about any curve involve where the tangent
line can be vertical or horizontal. To be horizontal, the slope of the
tangent line must be zero, while to be vertical, the slope must be
undefined. It is typically the case when differentiating implicitly that
the formula for $$\frac{dy}{dx}$$ is expressed as a quotient of functions
of $$x$$ and $$y$$, say
$$\frac{dy}{dx} = \frac{p(x,y)}{q(x,y)}.$$
Thus, we observe that the tangent line will be horizontal precisely when
the numerator is zero and the denominator is nonzero, making the slope
of the tangent line zero. Similarly, the tangent line will be vertical
whenever $$q(x,y) = 0$$ and $$p(x,y) \ne 0$$, making the slope undefined. If
both $$x$$ and $$y$$ are involved in an equation such as $$p(x,y) = 0$$, we
try to solve for one of them in terms of the other, and then use the
resulting condition in the original equation that defines the curve to
find an equation in a single variable that we can solve to determine the
point(s) that lie on the curve at which the condition holds. It is not
always possible to execute the desired algebra due to the possibly
complicated combinations of functions that often arise.
The closing activity in this section offers more opportunities to
practice implicit differentiation.
!!Summary
---
In this section, we encountered the following important ideas:
---
* When we have an equation involving $$x$$ and $$y$$ where $$y$$ cannot be solved for explicitly in terms of $$x$$, but where portions of the curve can be thought of as being generated by explicit functions of $$x$$, we say that $$y$$ is an implicit function of $$x$$. A good example of such a curve is the unit circle.
* In the process of implicit differentiation, we take the equation that generates an implicitly given curve and differentiate both sides with respect to $$x$$ while treating $$y$$ as a function of $$x$$. In so doing, the chain rule leads $$\frac{dy}{dx}$$ to arise, and then we may subsequently solve for $$\frac{dy}{dx}$$ using algebra.
* While $$\frac{dy}{dx}$$ may now involve both the variables $$x$$ and $$y$$, $$\frac{dy}{dx}$$ still measures the slope of the tangent line to the curve, and thus this derivative may be used to decide when the tangent line is horizontal ($$\frac{dy}{dx} = 0$$) or vertical ($$\frac{dy}{dx}$$ is undefined), or to find the equation of the tangent line at a particular point on the curve.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let $$f$$ be a differentiable function of $$x$$ (whose formula is not known)
and recall that $$\frac{d}{dx}[f(x)]$$ and $$f'(x)$$ are interchangeable
notations. Determine each of the following derivatives of combinations
of explicit functions of $$x$$, the unknown function $$f$$, and an arbitrary
constant $$c$$.
''a)''
$$\frac{d}{dx} \left[ x^2 + f(x) \right]$$
''b)''
$$\frac{d}{dx} \left[ x^2 f(x) \right]$$
''c)''
$$\frac{d}{dx} \left[ c + x + f(x)^2 \right]$$
''d)''
$$\frac{d}{dx} \left[ f(x^2) \right]$$
''e)''
$$\frac{d}{dx} \left[ (f(x)+ f(cx)+cf(x)) \right]$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following limits. If you use L’Hopital’s Rule,
indicate where it was used, and be certain its hypotheses are met before
you apply it.
''a)'' $$\lim_{x \to 0} \frac{\ln(1 + x)}{x}$$
''b)''
$$\lim_{x \to \pi} \frac{\cos(x)}{x}$$
''c)''
$$\lim_{x \to 1} \frac{2 \ln(x)}{1-e^{x-1}}$$
''d)''
$$\lim_{x \to 0} \frac{\sin(x) - x}{\cos(2x)-1}$$
Remember that $$\ln(1) = 0$$.
Note that $$x \to \pi$$, not $$x \to 0$$.
Observe that $$e^{x-1} \to 1$$ as $$x \to 1$$.
If necessary, L’Hopital’s Rule can be applied more than once.
Remember that $$\ln(1) = 0$$, so this limit takes on the indeterminate
form $$\frac{0}{0}$$.
Note that $$x \to \pi$$, not $$x \to 0$$, so this limit is not
indeterminate. The denominator tends to $$\pi$$; what does the numerator
approach?
Observe that $$e^{x-1} \to 1$$ as $$x \to 1$$, so this limit is
indeterminate in the form $$\frac{0}{0}$$.
After one application of L’Hopital’s Rule, you should find yet another
indeterminate form, to which you can again apply the rule.
As $$x \to 0$$, we see that $$\ln(1+x) \to \ln(1) = 0$$, thus this limit has
an indeterminate form. By L’Hopital’s Rule, we have
$$\lim_{x \to 0} \frac{\ln(1 + x)}{x} = \lim_{x \to 0} \frac{\frac{1}{1 + x}}{1}.$$
As this limit is no longer indeterminate, we may simply allow $$x \to 0$$,
and thus we find that
$$\lim_{x \to 0} \frac{\ln(1 + x)}{x} = \frac{\frac{1}{1 + 0}}{1} = 1.$$
Observe that
$$\lim_{x \to \pi} \frac{\cos(x)}{x} = \frac{\cos(\pi)}{\pi} = -\frac{1}{\pi},$$
since this limit is not indeterminate because the function
$$\frac{\cos(x)}{x}$$ is continuous at $$x = \pi$$.
Since $$\ln(x) \to 0$$ and $$e^{x-1} \to 1$$ as $$x \to 0$$, this limit is
indeterminate with form $$\frac{0}{0}$$. Hence, by L’Hopital’s Rule,
$$\lim_{x \to 1} \frac{2 \ln(x)}{1-e^{x-1}} = \lim_{x \to 1} \frac{\frac{2}{x}}{-e^{x-1}}.$$
The updated limit is not indeterminate, and allowing $$x \to 1$$, we find
$$\lim_{x \to 1} \frac{2 \ln(x)}{1-e^{x-1}} = \frac{\frac{2}{1}}{-e^{0}} = -2.$$
Since the given limit is indeterminate of form $$\frac{0}{0}$$, by
L’Hopital’s Rule we have
$$\lim_{x \to 0} \frac{\sin(x) - x}{\cos(2x)-1} = \lim_{x \to 0} \frac{\cos(x) - 1}{-2\sin(2x)}.$$
Now, as $$x \to 0$$, $$\cos(x) \to 1$$ and $$\sin(2x) \to 0$$, which makes the
latest limit also indeterminate in form $$\frac{0}{0}$$. Applying
L’Hopital’s Rule a second time, we now have
$$\lim_{x \to 0} \frac{\sin(x) - x}{\cos(2x)-1} = \lim_{x \to 0} \frac{-\sin(x)}{-4\cos(2x)}.$$
In the newest limit, we note that $$\sin(x) \to 0$$ but $$\cos(2x) \to 1$$
as $$x \to 0$$, so the numerator is tending to 0 while the denominator is
approaching $$-4$$. Thus, the value of the limit is determined to be
$$\lim_{x \to 0} \frac{\sin(x) - x}{\cos(2x)-1} = 0.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In this activity, we reason graphically from the following figure to
evaluate limits of ratios of functions about which some information is
known.
''a)'' Use the left-hand graph to determine the values of $$f(2)$$, $$f'(2)$$,
$$g(2)$$, and $$g'(2)$$. Then, evaluate
$$\lim_{x \to 2} \frac{f(x)}{g(x)}.$$
''b)'' Use the middle graph to find $$p(2)$$, $$p'(2)$$, $$q(2)$$, and $$q'(2)$$. Then,
determine the value of
$$\lim_{x \to 2} \frac{p(x)}{q(x)}.$$
''c)'' Use the right-hand graph to compute $$r(2)$$, $$r'(2)$$, $$s(2)$$, $$s'(2)$$.
Explain why you cannot determine the exact value of
$$\lim_{x \to 2} \frac{r(x)}{s(x)}$$
without further information being provided, but that you can determine
the sign of $$\lim_{x \to 2} \frac{r(x)}{s(x)}$$. In addition, state what
the sign of the limit will be, with justification.
Don’t forget that $$f'(a)$$ measures the slope of the tangent line to
$$y = f(x)$$ at the point $$(a,f(a))$$.
Do the functions $$p$$ and $$q$$ meet the criteria of L’Hopital’s Rule?
Remember that L’Hopital’s Rule can be applied more than once to a
particular limit.
Don’t forget that $$f'(a)$$ measures the slope of the tangent line to
$$y = f(x)$$ at the point $$(a,f(a))$$. Think about whether or not
L’Hopital’s Rule applies to the limit under consideration.
Do the functions $$p$$ and $$q$$ meet the criteria of L’Hopital’s Rule? If
not, what are your options for evaluating the limit?
Remember that L’Hopital’s Rule can be applied more than once to a
particular limit and that the sign of $$f''(a)$$ is connected to to the
concavity of the graph of $$f$$ at the value $$x = a$$.
From the given graph, we observe that $$f(2) = 0$$, $$f'(2) = \frac{1}{2}$$,
$$g(2)=0$$, and $$g'(2) = 4$$. By L’Hopital’s Rule,
$$\lim_{x \to 2} \frac{f(x)}{g(x)} = \frac{f'(2)}{g'(2)} = \frac{\frac{1}{2}}{4} = \frac{1}{8}.$$
The given graph tells us that $$p(2) = 1.5$$, $$p'(2)=-1$$, $$q(2)=1.5$$, and
$$q'(2)=0$$. Note well that the given limit,
$$\lim_{x \to 2} \frac{p(x)}{q(x)},$$
is not indeterminate, and thus L’Hopital’s Rule does not apply. Rather,
since $$p(x) \to 1.5$$ and $$q(x) \to 1.5$$ as $$x \to 2$$, we have that
$$\lim_{x \to 2} \frac{p(x)}{q(x)} = \frac{p(2)}{q(2)} = \frac{1.5}{1.5} = 1.$$
From the third graph, $$r(2)=0$$, $$r'(2)=0$$, $$s(2)=0$$, $$s'(2)=0$$. By
L’Hopital’s Rule,
$$\lim_{x \to 2} \frac{r(x)}{s(x)} = \lim_{x \to 2} \frac{r'(x)}{s'(x)},$$
but this limit is still indeterminate, so by L’Hopital’s Rule again,
$$\lim_{x \to 2} \frac{r(x)}{s(x)} = \lim_{x \to 2} \frac{r''(x)}{s''(x)} = \frac{r''(2)}{s''(2)},$$
provided that $$s''(2) \ne 0$$. Since we do not know the values of
$$r''(2)$$ and $$s''(2)$$, we can’t determine the actual value of the limit,
but from the graph it appears that $$r''(2) > 0$$ (since $$r$$ is concave
up) and that $$s''(2) < 0$$ (because $$s$$ is concave down), and therefore
$$\lim_{x \to 2} \frac{r(x)}{s(x)} < 0.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following limits. If you use L’Hopital’s Rule,
indicate where it was used, and be certain its hypotheses are met before
you apply it.
''a)'' $$\lim_{x \to \infty} \frac{x}{\ln(x)}$$
''b)'' $$\lim_{x \to \infty} \frac{e^{x} + x}{2e^{x} + x^2}$$
''c)'' $$\lim_{x \to 0^+} \frac{\ln(x)}{\frac{1}{x}}$$
''d)'' $$\lim_{x \to \frac{\pi}{2}^-} \frac{\tan(x)}{x-\frac{\pi}{2}}$$
''e)'' $$\lim_{x \to \infty} xe^{-x}$$
Remember that $$\ln(x) \to \infty$$ as $$x \to infty$$.
Both the numerator and denominator tend to $$\infty$$ as $$x \to \infty$$.
Note that $$x \to 0^+$$, not $$\infty$$.
As $$x \to \frac{\pi}{2}^-$$, $$\tan(x) \to \infty$$.
Observe that $$e^{-x} = \frac{1}{e^x}$$.
Remember that $$\ln(x) \to \infty$$ as $$x \to infty$$, so this limit is
indeterminate.
Both the numerator and denominator tend to $$\infty$$ as $$x \to \infty$$.
Remember that L’Hopital’s Rule can be applied more than once, if needed.
Note that $$x \to 0^+$$, not $$\infty$$, and that $$\ln(x) \to -\infty$$ as
$$x \to 0^+$$.
As $$x \to \frac{\pi}{2}^-$$, $$\tan(x) \to \infty$$.
Observe that $$e^{-x} = \frac{1}{e^x}$$, so this limit can be rearranged
to have indeterminate form $$\frac{\infty}{\infty}.$$
As both numerator and denominator tend to $$\infty$$ as $$x \to \infty$$, by
L’Hopital’s Rule followed by some elementary algebra,
$$\lim_{x \to \infty} \frac{x}{\ln(x)} = \lim_{x \to \infty} \frac{1}{\frac{1}{x}} = \lim_{x \to \infty} x = \infty.$$
Because this limit has indeterminate form $$\frac{\infty}{\infty}$$,
L’Hopital’s Rule tells us that
$$\lim_{x \to \infty} \frac{e^{x} + x}{2e^{x} + x^2} = \lim_{x \to \infty} \frac{e^{x} + 1}{2e^{x} + 2x}.$$
The latest limit is indeterminate for the same reason, and a second
application of the rule shows
$$\lim_{x \to \infty} \frac{e^{x} + x}{2e^{x} + x^2} = \lim_{x \to \infty} \frac{e^{x}}{2e^{x} + 2}.$$
Note how each application of the rule produces a simpler numerator and
denominator. With one more use of L’Hopital’s Rule, followed by a simple
algebraic simplification, we have
$$\lim_{x \to \infty} \frac{e^{x} + x}{2e^{x} + x^2} = \lim_{x \to \infty} \frac{e^{x}}{2e^{x}} = \lim_{x \to \infty} \frac{1}{2} = \frac{1}{2}.$$
As $$x \to 0^+$$, $$\ln(x) \to -\infty$$ and $$\frac{1}{x} \to +\infty$$, thus
by L’Hopital’s Rule,
$$\lim_{x \to 0^+} \frac{\ln(x)}{\frac{1}{x}} = \lim_{x \to 0^+} \frac{\frac{1}{x}}{-\frac{1}{x^2}}.$$
Reciprocating, multiplying, and simplifying, it follows that
$$\lim_{x \to 0^+} \frac{\ln(x)}{\frac{1}{x}} = \lim_{x \to 0^+} \frac{1}{x}\cdot \frac{x^2}{-1} = \lim_{x \to 0^+} -x = 0.$$
Here, the numerator tends to $$\infty$$ while the denominator tends to
$$0^-$$. Note well that this limit is not indeterminate, but rather
produces a collection of fractions with large positive numerators and
small negative denominators. Hence
$$\lim_{x \to \frac{\pi}{2}^-} \frac{\tan(x)}{x-\frac{\pi}{2}} = -\infty.$$
In particular, we observe that L’Hopital’s Rule is not applicable here.
In its original form, $$\lim_{x \to \infty} xe^{-x}$$, is
indeterminate of form $$\infty \cdot 0$$. Rewriting $$e^{-x}$$ as
$$\frac{1}{e^x}$$, a straightforward application of L’Hopital’s Rule tells
us that
$$\lim_{x \to \infty} xe^{-x} = \lim_{x \to \infty} \frac{x}{e^x} = \lim_{x \to \infty} \frac{1}{e^x}.$$
Since $$e^x \to \infty$$ as $$x \to \infty$$, we find that
$$\lim_{x \to \infty} xe^{-x} = 0.$$
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let $$f$$ and $$g$$ be differentiable functions about which the following
information is known: $$f(3) = g(3) = 0$$, $$f'(3) = g'(3) = 0$$,
$$f''(3) = -2$$, and $$g''(3) = 1$$. Let a new function $$h$$ be given by the
rule $$h(x) = \frac{f(x)}{g(x)}$$. On the same set of axes, sketch
possible graphs of $$f$$ and $$g$$ near $$x = 3$$, and use the provided
information to determine the value of
Provide explanation to support your conclusion.
''2.'' Find all vertical and horizontal asymptotes of the function
$$R(x) = \frac{3(x-a)(x-b)}{5(x-a)(x-c)},$$
where $$a$$, $$b$$, and $$c$$ are distinct, arbitrary constants. In addition,
state all values of $$x$$ for which $$R$$ is not continuous. Sketch a
possible graph of $$R$$, clearly labeling the values of $$a$$, $$b$$, and $$c$$.
''3.'' Consider the function $$g(x) = x^{2x}$$, which is defined for all $$x > 0$$.
Observe that $$\lim_{x \to 0^+} g(x)$$ is indeterminate due to its form of
$$0^0$$. (Think about how we know that $$0^k = 0$$ for all $$k > 0$$, while
$$b^0 = 1$$ for all $$b \ne 0$$, but that neither rule can apply to $$0^0$$.)
''a)'' Let $$h(x) = \ln(g(x))$$. Explain why $$h(x) = 2x \ln(x).$$
''b)'' Next, explain why it is equivalent to write
$$h(x) = \frac{2\ln(x)}{\frac{1}{x}}$$.
''c)'' Use L’Hopital’s Rule and your work in (b) to compute
$$\lim_{x \to 0^+} h(x)$$.
''d)'' Based on the value of $$\lim_{x \to 0^+} h(x)$$, determine
$$\lim_{x \to 0^+} g(x).$$
''4.'' Recall we say that function $$g$$ dominates function $$f$$ provided that
$$\lim_{x \to \infty} f(x) = \infty$$,
$$\lim_{x \to \infty} g(x) = \infty$$, and
$$\lim_{x \to \infty} \frac{f(x)}{g(x)} = 0$$.
''a)'' Which function dominates the other: $$\ln(x)$$ or $$\sqrt{x}$$?
''b)'' Which function dominates the other: $$\ln(x)$$ or $$^n\sqrt{x}$$? ($$n$$ can
be any positive integer)
''c)'' Explain why $$e^x$$ will dominate any polynomial function.
''d)'' Explain why $$x^n$$ will dominate $$\ln(x)$$ for any positive integer $$n$$.
How can derivatives be used to help us evaluate indeterminate limits of
the form $$\frac{0}{0}$$?
What does it mean to say that $$\lim_{x \to \infty} f(x) = L$$ and
$$\lim_{x \to a} f(x) = \infty$$?
How can derivatives assist us in evaluating indeterminate limits of the
form $$\frac{\infty}{\infty}$$?
Because differential calculus is based on the definition of the
derivative, and the definition of the derivative involves a limit, there
is a sense in which all of calculus rests on limits. In addition, the
limit involved in the limit definition of the derivative is one that
always generates an indeterminate form of $$\frac{0}{0}$$. If $$f$$ is a
differentiable function for which $$f'(x)$$ exists, then when we consider
$$f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h},$$
it follows that not only does $$h \to 0$$ in the denominator, but also
$$(f(x+h)-f(x)) \to 0$$ in the numerator, since $$f$$ is continuous. Thus,
the fundamental form of the limit involved in the definition of $$f'(x)$$
is $$\frac{0}{0}$$. Remember, saying a limit has an indeterminate form
only means that we don’t yet know its value and have more work to do:
indeed, limits of the form $$\frac{0}{0}$$ can take on any value, as is
evidenced by evaluating $$f'(x)$$ for varying values of $$x$$ for a function
such as $$f'(x) = x^2$$.
Of course, we have learned many different techniques for evaluating the
limits that result from the derivative definition, and including a large
number of shortcut rules that enable us to evaluate these limits quickly
and easily. In this section, we turn the situation upside-down: rather
than using limits to evaluate derivatives, we explore how to use
derivatives to evaluate certain limits. This topic will combine several
different ideas, including limits, derivative shortcuts, local
linearity, and the tangent line approximation.
!!Using derivatives to evaluate indeterminate limits of the form $$\frac{0}{0}$$.
The fundamental idea of <<reference 2.8.PA1>> – that we can evaluate
an indeterminate limit of the form $$\frac{0}{0}$$ by replacing each of
the numerator and denominator with their local linearizations at the
point of interest – can be generalized in a way that enables us to
easily evaluate a wide range of limits. We begin by assuming that we
have a function $$h(x)$$ that can be written in the form
$$h(x) = \frac{f(x)}{g(x)}$$ where $$f$$ and $$g$$ are both differentiable at
$$x=a$$ and for which $$f(a) = g(a) = 0$$. We are interested in finding a
way to evaluate the indeterminate limit given by
$$\lim_{x \to a} h(x).$$
In <<figreference 2_8_LHR.svg>>, we see a visual representation of the situation
involving such functions $$f$$ and $$g$$. In particular, we see that both
$$f$$ and $$g$$ have an $$x$$-intercept at the point where $$x = a$$. In
addition, since each function is differentiable, each is locally linear,
and we can find their respective tangent line approximations $$L_f$$ and
$$L_g$$ at $$x = a$$, which are also shown in the figure. Since we are
interested in the limit of $$\frac{f(x)}{g(x)}$$ as $$x \to a$$, the
individual behaviors of $$f(x)$$ and $$g(x)$$ as $$x \to a$$ are key to
understand. Here, we take advantage of the fact that each function and
its tangent line approximation become indistinguishable as $$x \to a$$.
First, let’s reall that $$L_f(x) = f'(a)(x-a) + f(a)$$ and
$$L_g(x) = g'(a)(x-a) +g(a)$$. The critical observation we make is that
when taking the limit, because $$x$$ is getting arbitrarily close to $$a$$,
we can replace $$f$$ with $$L_f$$ and replace $$g$$ with $$L_g$$, and thus we
observe that
<center>
<table class="equationtable">
<tr><td> $$\lim_{x \to a} \frac{f(x)}{g(x)} $$
</td><td>= $$\lim_{x \to a} \frac{L_f(x)}{L_g(x)} $$ </td></tr>
<tr><td></td><td>= $$\lim_{x \to a} \frac{f'(a)(x-a) + f(a)}{g'(a)(x-a) + g(a)} $$
</td></tr>
Next, we remember a key fundamental assumption: that both $$f(a) = 0$$ and
$$g(a) = 0$$, as this is precisely what makes the original limit
indeterminate. Substituting these values for $$f(a)$$ and $$g(a)$$ in the
limit above, we now have
<center>
<table class="equationtable">
<tr><td> $$\lim_{x \to a} \frac{f(x)}{g(x)} $$
</td><td>= $$\lim_{x \to a} \frac{f'(a)(x-a)}{g'(a)(x-a)} $$ </td></tr>
<tr><td></td><td>= $$\lim_{x \to a} \frac{f'(a)}{g'(a)} $$
</td></tr>
where the latter equality holds since $$x$$ is approaching (but not equal
to) $$a$$, so $$\frac{x-a}{x-a} = 1$$.
Finally, we note that $$\frac{f'(a)}{g'(a)}$$ is constant with respect to
$$x$$, and thus
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \frac{f'(a)}{g'(a)}.$$
We have, of course, implicitly made the assumption that $$g'(a) \ne 0$$,
which is essential to the overall limit having the value
$$\frac{f'(a)}{g'(a)}$$. We summarize our work above with the statement of
L’Hopital’s Rule, which is the formal name of the result we have shown.
<table width="100%">''L’Hopital’s Rule:'' Let $$f$$ and $$g$$ be differentiable at $$x=a$$, and suppose that $$f(a) = g(a) = 0$$} and that $$g'(a) \neq 0$$. Then
$$ \lim_{x \to a} \frac{f(x)}{g(x)} = \frac{f'(a)}{g'(a)}.$$
In practice, we typically work with a slightly more general version of
L’Hopital’s Rule, which states that (under the identical assumptions as
the boxed rule above)
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)},$$
provided the righthand limit exists. This form reflects the fundamental
benefit of L’Hopital’s Rule: if $$\frac{f(x)}{g(x)}$$ produces an
indeterminate limit of form $$\frac{0}{0}$$ as $$x \to a$$, it is equivalent
to consider the limit of the quotient of the two functions’ derivatives,
$$\frac{f'(x)}{g'(x)}.$$ For example, if we consider the limit from
<<reference 2.8.PA1>>,
$$\lim_{x \to 1} \frac{x^5 + x - 2}{x^2 - 1},$$
by L’Hopital’s Rule we
have that
$$\lim_{x \to 1} \frac{x^5 + x - 2}{x^2 - 1} = \lim_{x \to 1} \frac{5x^4 + 1}{2x} = \frac{6}{2} = 3. $$
By being able to replace the numerator and denominator with their
respective derivatives, we often move from an indeterminate limit to one
whose value we can easily determine.
While L’Hopital’s Rule can be applied in an entirely algebraic way, it is important to remember that the genesis of the rule is graphical:
the main idea is that the slopes of the tangent lines to $$f$$ and $$g$$ at
$$x = a$$ determine the value of the limit of $$\frac{f(x)}{g(x)}$$ as
$$x \to a$$. We see this in <<figreference 2_8_LHR.svg>>, which is a modified
version of <<figreference 2_8_LHR2.svg>>, where we can see from the grid that
$$f'(a) = 2$$ and $$g'(a) = -1$$, hence by L’Hopital’s Rule
$$\lim_{x \to a}\frac{f(x)}{g(x)} = \frac{f'(a)}{g'(a)} = \frac{2}{-1} = -2.$$
Indeed, what we observe is that it’s not the fact that $$f$$ and $$g$$ both
approach zero that matters most, but rather the ''rate'' at which each
approaches zero that determines the value of the limit. This is a good
way to remember what L’Hopital’s Rule says: if $$f(a) = g(a) = 0$$, the
the limit of $$\frac{f(x)}{g(x)}$$ as $$x \to a$$ is given by the ratio of
the slopes of $$f$$ and $$g$$ at $$x = a$$.
!!Limits involving $$\infty$$
The concept of infinity, denoted $$\infty$$, arises naturally in calculus,
like it does in much of mathematics. It is important to note from the
outset that $$\infty$$ is a concept, but not a number itself. Indeed, the
notion of $$\infty$$ naturally invokes the idea of limits. Consider, for
example, the function $$f(x) = \frac{1}{x}$$, whose graph is pictured in
<<figreference 2_8_Infty.svg>>.
We note that $$x = 0$$ is not in the domain of $$f$$, so we may naturally
wonder what happens as $$x \to 0$$. As $$x \to 0^+$$, we observe that $$f(x)$$
''increases without bound''. That is, we can make the value of $$f(x)$$ as
large as we like by taking $$x$$ closer and closer (but not equal) to 0,
while keeping $$x > 0$$. This is a good way to think about what infinity
represents: a quantity is tending to infinity if there is no single
number that the quantity is always less than.
Recall that when we write $$\lim_{x \to a} f(x) = L$$, this means that
can make $$f(x)$$ as close to $$L$$ as we’d like by taking $$x$$ sufficiently
close (but not equal) to $$a$$. We thus expand this notation and language
to include the possibility that either $$L$$ or $$a$$ can be $$\infty$$. For
instance, for $$f(x) = \frac{1}{x}$$, we now write
$$\lim_{x \to 0^+} \frac{1}{x} = \infty,$$
by which we mean that we can make $$\frac{1}{x}$$ as large as we like by
taking $$x$$ sufficiently close (but not equal) to 0. In a similar way, we
naturally write
$$\lim_{x \to \infty} \frac{1}{x} = 0,$$
since we can make $$\frac{1}{x}$$ as close to 0 as we’d like by taking $$x$$
sufficiently large (i.e., by letting $$x$$ increase without bound).
In general, we understand the notation
$$\lim_{x \to a} f(x) = \infty$$ to mean that we can make $$f(x)$$ as
large as we’d like by taking $$x$$ sufficiently close (but not equal) to
$$a$$, and the notation $$\lim_{x \to \infty} f(x) = L$$ to mean that we
can make $$f(x)$$ as close to $$L$$ as we’d like by taking $$x$$ sufficiently
large. This notation applies to left- and right-hand limits, plus we can
also use limits involving $$-\infty$$. For example, returning to
Figure [F:2.8.Infty] and $$f(x) = \frac{1}{x}$$, we can say that
$$\lim_{x \to 0^-} \frac{1}{x} = -\infty \ \ {and} \ \ \lim_{x \to -\infty} \frac{1}{x} = 0.$$
$$\lim_{x \to \infty} f(x) = \infty$$
when we can make the value of $$f(x)$$ as large as we’d like by taking $$x$$
sufficiently large. For example,
$$\lim_{x \to \infty} x^2 = \infty.$$
Note particularly that limits involving infinity identify ''vertical'' and
''horizontal asymptotes'' of a function. If
$$\lim_{x \to a} f(x) = \infty$$, then $$x = a$$ is a vertical asymptote of
$$f$$, while if $$\lim_{x \to \infty} f(x) = L$$, then $$y = L$$ is a
horizontal asymptote of $$f$$. Similar statements can be made using
$$-\infty$$, as well as with left- and right-hand limits as $$x \to a^-$$ or
$$x \to a^+$$.
In precalculus classes, it is common to study the ''end behavior'' of
certain families of functions, by which we mean the behavior of a
function as $$x \to \infty$$ and as $$x \to -\infty$$. Here we briefly
examine a library of some familiar functions and note the values of
several limits involving $$\infty$$.
<<figure 2_8_InftyLib.svg>>
For the natural exponential function $$e^x$$, we note that
$$\lim_{x \to \infty} e^x = \infty$$ and $$\lim_{x \to -\infty} e^x = 0,$$
while for the related exponential decay function $$e^{-x}$$, observe that
these limits are reversed, with $$\lim_{x \to \infty} e^{-x} = 0$$ and
$$\lim_{x \to -\infty} e^{-x} = \infty.$$ Turning to the natural logarithm
function, we have $$\lim_{x \to 0^+} \ln(x) = -\infty$$ and
$$\lim_{x \to \infty} \ln(x) = \infty.$$ While both $$e^x$$ and $$\ln(x)$$
grow without bound as $$x \to \infty$$, the exponential function does so
much more quickly than the logarithm function does. We’ll soon use
limits to quantify what we mean by “quickly.”
For polynomial functions of the form
$$p(x) = a_n x^n + a_{n-1}x^{n-1} + \cdots a_1 x + a_0$$, the end behavior
depends on the sign of $$a_n$$ and whether the highest power $$n$$ is even
or odd. If $$n$$ is even and $$a_n$$ is positive, then
$$\lim_{x \to \infty} p(x) = \infty$$ and
$$\lim_{x \to -\infty} p(x) = \infty$$, as in the plot of $$g$$ in
<<figreference 2_8_InftyLib.svg>>. If instead $$a_n$$ is negative, then
$$\lim_{x \to \infty} p(x) = -\infty$$ and
$$\lim_{x \to -\infty} p(x) = -\infty$$. In the situation where $$n$$ is
odd, then either $$\lim_{x \to \infty} p(x) = \infty$$ and
$$\lim_{x \to -\infty} p(x) = \infty$$ (which occurs when $$a_n$$ is
positive, as in the graph of $$f$$ in <<figreference 2_8_InftyLib.svg>>), or
$$\lim_{x \to \infty} p(x) = \infty$$ and
$$\lim_{x \to -\infty} p(x) = \infty$$ (when $$a_n$$ is negative).
A function can fail to have a limit as $$x \to \infty$$. For example,
consider the plot of the sine function at right in
<<figreference 2_8_InftyLib.svg>>. Because the function continues oscillating
between $$-1$$ and $$1$$ as $$x \to \infty$$, we say that
$$\lim_{x \to \infty} \sin(x)$$ does not exist.
Finally, it is straightforward to analyze the behavior of any rational
function as $$x \to \infty$$. Consider, for example, the function
$$q(x) = \frac{3x^2 - 4x + 5}{7x^2 + 9x - 10}.$$
Note that both $$(3x^2 - 4x + 5) \to \infty$$ as $$x \to \infty$$ and
$$(7x^2 + 9x - 10) \to \infty$$ as $$x \to \infty$$. Here we say that
$$\lim_{x \to \infty} q(x)$$ has indeterminate form
$$\frac{\infty}{\infty}$$, much like we did when we encountered limits of
the form $$\frac{0}{0}$$. We can determine the value of this limit through
a standard algebraic approach. Multiplying the numerator and denominator
each by $$\frac{1}{x^2}$$, we find that
<center>
<table class="equationtable">
<tr><td> $$\lim_{x \to a} {q(x)} $$
</td><td>= $$\lim_{x \to a} \frac{3x^2-4x+5}{7x^2 + 9x -10}.\frac{\frac{1}{x^2}}{\frac{1}{x^2}} $$ </td></tr>
<tr><td></td><td>= $$\lim_{x \to a} \frac{3-4\frac{1}{x}+5\frac{1}{x^2}}{7+9\frac{1}{x}-10\frac{1}{x^2}}. =\frac{3}{7} $$
</td></tr>
since $$\frac{1}{x^2} \to 0$$ and $$\frac{1}{x} \to 0$$ as $$x \to \infty$$.
This shows that the rational function $$q$$ has a horizontal asymptote at
$$y = \frac{3}{7}$$. A similar approach can be used to determine the limit
of any rational function as $$x \to \infty$$.
But how should we handle a limit such as
$$\lim_{x \to \infty} \frac{x^2}{e^x}?$$
Here, both $$x^2 \to \infty$$ and $$e^x \to \infty$$, but there is not an
obvious algebraic approach that enables us to find the limit’s value.
Fortunately, it turns out that L’Hopital’s Rule extends to cases
involving infinity.
<table>''L’Hopital’s Rule ($$\infty$$):'' If $$f$$ and $$g$$ are differentiable and both approach zero or both approach $$\pm \infty$$ as $$x \to a$$ (where $$a$$ is allowed to be $$\infty$$), then
<br>
<br>
<center>
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}.$$
<br>
<br>
To evaluate $$\lim_{x \to \infty} \frac{x^2}{e^x}$$, we observe that we
can apply L’Hopital’s Rule, since both $$x^2 \to \infty$$ and
$$e^x \to \infty$$. Doing so, it follows that
$$\lim_{x \to \infty} \frac{x^2}{e^x} = \lim_{x \to \infty} \frac{2x}{e^x}.$$
This updated limit is still indeterminate and of the form
$$\frac{\infty}{\infty}$$, but it is simpler since $$2x$$ has replaced
$$x^2$$. Hence, we can apply L’Hopital’s Rule again, by which we find that
$$\lim_{x \to \infty} \frac{x^2}{e^x} = \lim_{x \to \infty} \frac{2x}{e^x} = \lim_{x \to \infty} \frac{2}{e^x}.$$
Now, since $$2$$ is constant and $$e^x \to \infty$$ as $$x \to \infty$$, it
follows that $$\frac{2}{e^x} \to 0$$ as $$x \to \infty$$, which shows that
$$\lim_{x \to \infty} \frac{x^2}{e^x} = 0.$$
When we are considering the limit of a quotient of two functions
$$\frac{f(x)}{g(x)}$$ that results in an indeterminate form of
$$\frac{\infty}{\infty}$$, in essence we are asking which function is
growing faster without bound. We say that the function $$g$$ ''dominates''
the function $$f$$ as $$x \to \infty$$ provided that
$$\lim_{x \to \infty} \frac{f(x)}{g(x)} = 0,$$
whereas $$f$$ dominates $$g$$ provided that
$$\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty$$. Finally, if the value
of $$\lim_{x \to \infty} \frac{f(x)}{g(x)}$$ is finite and nozero, we say
that $$f$$ and $$g$$ ''grow at the same rate''. For example, from earlier work
we know that $$\lim_{x \to \infty} \frac{x^2}{e^x} = 0,$$ so $$e^x$$
dominates $$x^2$$, while
$$\lim_{x \to \infty} \frac{3x^2 - 4x + 5}{7x^2 + 9x - 10} = \frac{3}{7}$$,
so $$f(x) = 3x^2 - 4x + 5$$ and $$g(x) = 7x^2 + 9x - 10$$ grow at the same
rate.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Derivatives be used to help us evaluate indeterminate limits of the form $$\frac{0}{0}$$ through L’Hopital’s Rule, which is developed by replacing the functions in the numerator and denominator with their tangent line approximations. In particular, if $$f(a) = g(a) = 0$$ and $$f$$ and $$g$$ are differentiable at $$a$$, L’Hopital’s Rule tells us that $$\lim_{x \to a}\frac{f(x)}{g(x)} = \lim_{x \to a}\frac{f'(x)}{g'(x)}.$$
* When we write $$x \to \infty$$, this means that $$x$$ is increasing without bound. We thus use $$\infty$$ along with limit notation to write $$\lim_{x \to \infty} f(x) = L$$, which means we can make $$f(x)$$ as close to $$L$$ as we like by choosing $$x$$ to be sufficiently large, and similarly $$\lim_{x \to a} f(x) = \infty$$, which means we can make $$f(x)$$ as large as we like by choosing $$x$$ sufficiently close to $$a$$.
* A version of L’Hopital’s Rule also allows us to use derivatives to assist us in evaluating indeterminate limits of the form $$\frac{\infty}{\infty}$$. In particular, If $$f$$ and $$g$$ are differentiable and both approach zero or both approach $$\pm \infty$$ as $$x \to a$$ (where $$a$$ is allowed to be $$\infty$$), then
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}.$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let $$h$$ be the function given by
$$h(x) = \frac{x^5 + x - 2}{x^2 - 1}$$.
''a)'' What is the domain of $$h$$?
''b)'' Explain why $$\lim_{x \to 1} \frac{x^5 + x- 2}{x^2 - 1}$$ results in an indeterminate form.
''c)'' Next we will investigate the behavior of both the numerator and
denominator of $$h$$ near the point where $$x = 1$$. Let
$$f(x) = x^5 + x - 2$$ and $$g(x) = x^2 - 1$$. Find the local linearizations of $$f$$ and $$g$$ at
$$a = 1$$, and call these functions $$L_f(x)$$ and $$L_g(x)$$, respectively.
''d)'' Explain why $$h(x) \approx \frac{L_f(x)}{L_g(x)}$$ for $$x$$ near
$$a = 1$$.
''e)'' Using your work from (c) and (d), evaluate
$$\lim_{x \to 1} \frac{L_f(x)}{L_g(x)}.$$
What do you think your result tells us about $$\lim_{x \to 1} h(x)$$?
''f)'' Investigate the function $$h(x)$$ graphically and numerically near
$$x = 1$$. What do you think is the value of $$\lim_{x \to 1} h(x)$$?
Computing Derivatives {#C:2}
=====================
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$g(x)$$ is a function continuous for every value of $$x \ne 2$$ whose first derivative is $$ g'(x) = \frac{(x+4)(x-1)^2}{x-2}$$. Further, assume that it is known that $$g$$ has a vertical asymptote at $$x = 2$$.
''a)'' Determine all critical values of $$g$$.
''b)'' By developing a carefully labeled first derivative sign chart, decide
whether $$g$$ has as a local maximum, local minimum, or neither at each
critical value.
''c)'' Does $$g$$ have a global maximum? global minimum? Justify your claims.
''d)'' What is the value of $$\lim_{x \to \infty} g'(x)$$? What does the
value of this limit tell you about the long-term behavior of $$g$$?
''e)''
Sketch a possible graph of $$y = g(x)$$.
Note that $$(x-1)^2$$ is positive for all $$x \ne 1$$.
Use your first derivative sign chart from (b).
Try expanding the numerator before evaluating the limit.
Think carefully about the information from the sign chart found in (b).
For which $$x$$ is $$g'(x) = 0$$? Remember that a fraction’s value is zero
if and only if its numerator is zero.
Note that $$(x-1)^2$$ is positive for all $$x \ne 1$$. How do the signs of
$$(x+4)$$ and $$(x-2)$$ then determine the overall sign of $$g'(x)$$?
Use your first derivative sign chart from (b) and remember to the first
derivative test.
Try expanding the numerator before evaluating the limit and think about
what you know about the limit of a rational function as $$x \to \infty$$.
Focus on where $$g$$ is increasing and decreasing, along with where it
must have a horizontal tangent line.
Since $$g'(x) = \frac{(x+4)(x-1)^2}{x-2}$$, we see that $$g'(x) = 0$$
implies that $$x = -4$$ or $$x = 1$$. While $$x = 2$$ makes $$g'$$ undefined, we
are told that $$g$$ has a vertical asymptote at $$x = 2$$, so $$x = 2$$ is not
in the domain of $$g$$, and hence is technically not a critical value of
$$g$$. Nonetheless, we place $$x = 2$$ on our first derivative sign chart
since the vertical asymptote is a location at which $$g'$$ may change
sign.
The first derivative sign chart shows that $$g'(x) > 0$$ for $$x < -4$$,
$$g'(x) < 0$$ for $$-4 < x < 1$$, $$g'(x) < 0$$ for $$1 < x < 2$$, and
$$g'(x) > 0$$ for $$x > 2$$. By the first derivative test, $$g$$ has a local
maximum at $$x = -4$$ and neither a max nor min at $$x = 1$$. As these are
the only two critical values, these are the only two locations for
possible extremes. (Note: although $$g$$ changes from decreasing to
increasing at $$x = 2$$, this is due to a vertical asymptote, and $$g$$ does
not have a minimum there.)
Because $$g$$ is decreasing as $$x \to 2^-$$ (where $$g$$ has a vertical
asymptote), $$g$$ does not have a global minimum. For $$x > 2$$, $$g$$ is
always increasing, which suggests that $$g$$ does not have a global
maximum (though we do not know for sure that $$g$$ increases without
bound).
We observe that
~x\\ ~ g’(x) & = & ~x\\ ~\
Since $$g'(x) \to \infty$$ as $$x \to \infty$$, this tells us that $$g$$
increases without bound as $$x \to \infty$$.
From all of our work above, we know that $$g$$ has a local maximum at
$$x = -4$$, a horizontal tangent line with neither a max nor min at
$$x = 1$$, and a vertical asymptote at $$x = 2$$, plus $$g$$ and $$g'$$ both
increase without bound as $$x \to \infty$$. Thus, a possible graph of $$g$$
is the following.
![image](figures/3_1_Act1Soln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$g$$ is a function whose second derivative, $$g''$$, is given by the following graph.
''a)'' Find all points of inflection of $$g$$.
''b)'' Fully describe the concavity of $$g$$ by making an appropriate sign chart.
''c)'' Suppose you are given that $$g'(-1.67857351) = 0$$. Is there is a local
maximum, local minimum, or neither (for the function $$g$$) at this
critical value of $$g$$, or is it impossible to say? Why?
''d)'' Assuming that $$g''(x)$$ is a polynomial (and that all important behavior
of $$g''$$ is seen in the graph above, what degree polynomial do you think
$$g(x)$$ is? Why?
What must be true of $$g''(x)$$ at a point of inflection?
Use the given graph to decide where $$g''$$ is positive and negative.
What does the second derivative test say?
Can you guess a formula for $$g''(x)$$ based on its graph?
At what points on the given graph does $$g''(x)$$ change sign?
From the given graph, where is $$g''(x) > 0$$? $$g''(x) < 0$$?
What does the second derivative test say? What is $$g''(-1.67857351)$$?
Can you guess a formula for $$g''(x)$$ based on its graph? Note that $$g''$$
appears to have a repeated root at $$x = 2$$.
Based on the given graph of $$g''$$, the only point at which $$g''$$ changes
sign is $$x = -1$$, and hence this is an inflection point of $$g$$.
Note that $$g''(x) > 0$$ for $$x < -1$$, $$g''(x) < 0$$ for $$-1 < x < 2$$, and
$$g''(x) < 0$$ for $$x > 2$$. This tells us that $$g$$ is concave up for
$$x < -1$$, concave down for $$-1 < x < 2$$, and concave down for $$x > 2$$.
Given that $$g'(-1.67857351) = 0$$, we know that $$g$$ has a horizontal
tangent line at this critical value. In addition, from the given graph
of $$g''$$, we see that $$g''( -1.67857351) > 0$$ and observe that $$g$$ is
concave up at $$x$$-values near $$-1.67857351$$. By the second derivative
test, $$g$$ has a local minimum at $$x = -1.67857351$$.
From the given graph, since $$g''$$ has a simple zero at $$x = -1$$ and a
repeated zero at $$x = 2$$, it appears that $$g''$$ is a degree 3
polynomial. If so, then $$g'$$ is a degree 4 polynomial, and $$g$$ is a
degree 5 polynomial.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the family of functions given by $$h(x) = x^2 + \cos(kx)$$, where
$$k$$ is an arbitrary positive real number.
''a)'' Use a graphing utility to sketch the graph of $$h$$ for several different
$$k$$-values, including $$k = 1,3,5,10$$. Plot $$h(x) = x^2 + \cos(3x)$$ on
the axes provided below.
What is the smallest value of $$k$$ at which you think you can see (just
by looking at the graph) at least one inflection point on the graph of
$$h$$?
''b)'' Explain why the graph of $$h$$ has no inflection points if
$$k \le \sqrt{2}$$, but infinitely many inflection points if
$$k > \sqrt{2}$$.
''c)'' Explain why, no matter the value of $$k$$, $$h$$ can only have a finite
number of critical values.
Be sure to try some values between 1.5 and 2.
Treat $$k$$ as an arbitrary constant in computing $$h'(x)$$ and $$h''(x)$$.
What is the largest value of $$k\sin(kx)$$? How many times can
$$y = k\sin(kx)$$ intersect the line $$y = 2x$$?
Be sure to try some values between 1.5 and 2. Remember that an
inflection point is a point where concavity changes.
Treat $$k$$ as an arbitrary constant in computing $$h'(x)$$ and $$h''(x)$$. In
particular, note that $$h'(x) = 2x - k\sin(kx)$$.
Explain why $$-k \le k\sin(kx) \le k$$. How many times can $$y = k\sin(kx)$$
intersect the line $$y = 2x$$?
![image](figures/3_1_Act3Soln.eps)
$$h(x) = x^2 + \cos(3x)$$ is given in dark blue, while
$$h(x) = x^2 + \cos(1.6x)$$ is shown in light blue. Close inspection of
the light blue graph reveals some subtle changes in concavity around
$$x \approx \pm 0.5$$. For values smaller than $$1.6$$, it is very hard to
visually detect any inflection points in $$h(x)$$.
Treating $$k$$ as an arbitrary constant, we first observe that
$$h'(x) = 2x - k\sin(kx)$$. Again treating $$k$$ as a constant and
differentiating, we find $$h''(x) = 2 - k^2\cos(kx).$$
We seek the values of $$x$$ for which $$h''(x) = 0$$ at which $$h''$$ changes
sign. Setting $$h''(x) = 0$$ and rearranging the resulting equation, we
now seek $$x$$ such that $$k^2 \cos(kx) = 2,$$ or
$$\cos(kx) = \frac{2}{k^2}.$$
Now, remember that $$k$$ is an arbitrary positive constant and recall that
$$-1 \le \cos(\theta) \le 1$$ for all input values $$\theta$$. If
$$\frac{2}{k^2} > 1$$, then the equation $$\cos(kx) = \frac{2}{k^2}$$ has no
solution. Hence, whenever $$k^2 < 2$$, or $$k < \sqrt{2} \approx 1.414$$, it
follows that the equation $$\cos(kx) = \frac{2}{k^2}$$ has no solutions
$$x$$, which means that $$h''(x)$$ is never zero (indeed, for these
$$k$$-values, $$h''(x)$$ is always positive so that $$h$$ is always concave
up).
On the other hand, if $$k \ge \sqrt{2}$$, then $$\frac{2}{k^2} \le 1$$,
which guarantees that $$\cos(kx) = \frac{2}{k^2}$$ has infinitely many
solutions, due to the periodicity of the cosine function. At each such
point, $$h''(x) = 2 - k^2 \cos(kx)$$ changes sign, and therefore $$h$$ has
infinitely many inflection points whenever $$k \ge \sqrt{2}$$.
To see why $$h$$ can only have a finite number of critical values
regardless of the value of $$k$$, consider the equation
$$0 = h'(x) = 2x - k\sin(kx),$$
which implies that $$2x = k\sin(kx)$$. Since $$-1 \le \sin(kx) \le 1$$, we
know that $$-k \le k\sin(kx) \le k$$. Once $$|x|$$ is sufficiently large, we
are guaranteed that $$|2x| > k$$, which means that for large $$x$$, $$2x$$ and
$$k\sin(kx)$$ cannot intersect. Moreover, for relatively small values of
$$x$$, the functions $$2x$$ and $$k\sin(kx)$$ can only intersect finitely many
times since $$k\sin(kx)$$ oscillates a finite number of times. This is why
$$h$$ can only have a finite number of critical values, regardless of the
value of $$k$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$h$$ given by the graph in <<figreference 3_1_PA1.svg>>. Use
the graph to answer each of the following questions.
''a)'' Identify all of the values of $$c$$ for which $$h(c)$$ is a local maximum of
$$h$$.
''b)'' Identify all of the values of $$c$$ for which $$h(c)$$ is a local minimum of
$$h$$.
''c)''
Does $$h$$ have a global maximum? If so, what is the value of this global
maximum?
''d)''Does $$h$$ have a global minimum? If so, what is its value?
''e)'' Identify all values of $$c$$ for which $$h'(c) = 0$$.
''f)'' Identify all values of $$c$$ for which $$h'(c)$$ does not exist.
''g)'' True or false: every relative maximum and minimum of $$h$$ occurs at a
point where $$h'(c)$$ is either zero or does not exist.
''h)'' True or false: at every point where $$h'(c)$$ is zero or does not exist,
$$h$$ has a relative maximum or minimum.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' This problem concerns a function about which the following information
is known:
o $$f$$ is a differentiable function defined at every real number $$x$$
o $$y = f'(x)$$ has its graph given at center in <<figreference 3_1_Ez1.svg>>
''a)'' Construct a first derivative sign chart for $$f$$. Clearly identify all
critical numbers of $$f$$, where $$f$$ is increasing and decreasing, and
where $$f$$ has local extrema.
''b)'' On the right-hand axes, sketch an approximate graph of $$y = f''(x)$$.
''c)'' Construct a second derivative sign chart for $$f$$. Clearly identify where
$$f$$ is concave up and concave down, as well as all inflection points.
''d)'' On the left-hand axes, sketch a possible graph of $$y = f(x)$$.
''2.'' Suppose that $$g$$ is a differentiable function and $$g'(2) = 0$$. In
addition, suppose that on $$1 < x< 2$$ and $$2 < x < 3$$ it is known that
$$g'(x)$$ is positive.
''a)'' Does $$g$$ have a local maximum, local minimum, or neither at $$x = 2$$?
Why?
''b)'' Suppose that $$g''(x)$$ exists for every $$x$$ such that $$1 < x < 3$$.
Reasoning graphically, describe the behavior of $$g''(x)$$ for $$x$$-values
near $$2$$.
''c)'' Besides being a critical value of $$g$$, what is special about the value
$$x = 2$$ in terms of the behavior of the graph of $$g$$?
''3.'' Suppose that $$h$$ is a differentiable function whose first derivative is
given by the graph in <<figreference 3_1_Ez3.svg>>.
''a)'' How many real number solutions can the equation $$h(x) = 0$$ have? Why?
''b)'' If $$h(x) = 0$$ has two distinct real solutions, what can you say about
the signs of the two solutions? Why?
''c)'' Assume that $$\lim_{x \to \infty} h'(x) = 3$$, as appears to be indicated
in Figure [F:3.1.Ez3]. How will the graph of $$y = h(x)$$ appear as
$$x \to \infty$$? Why?
''d)'' Describe the concavity of $$y = h(x)$$ as fully as you can from the
provided information.
''4.'' Let $$p$$ be a function whose second derivative is
$$p''(x) = (x+1)(x-2)e^{-x}$$.
''a)'' Construct a second derivative sign chart for $$p$$ and determine all
inflection points of $$p$$.
''b)'' Suppose you also know that $$x = \frac{\sqrt{5}-1}{2}$$ is a critical
value of $$p$$. Does $$p$$ have a local minimum, local maximum, or neither
at $$x = \frac{\sqrt{5}-1}{2}$$? Why?
''c)'' If the point $$(2, \frac{12}{e^2})$$ lies on the graph of $$y = p(x)$$ and
$$p'(2) = -\frac{5}{e^2}$$, find the equation of the tangent line to
$$y = p(x)$$ at the point where $$x = 2$$. Does the tangent line lie above
the curve, below the curve, or neither at this value? Why?
What are the critical values of a function $$f$$ and how are they
connected to identifying the most extreme values the function achieves?
How does the first derivative of a function reveal important information
about the behavior of the function, including the function’s extreme
values?
How can the second derivative of a function be used to help identify
extreme values of the function?
In many different settings, we are interested in knowing where a
function achieves its least and greatest values. These can be important
in applications – say to identify a point at which maximum profit or
minimum cost occurs – or in theory to understand how to characterize the
behavior of a function or a family of related functions. Consider the
simple and familiar example of a parabolic function such as
$$s(t) = -16t^2 + 32t + 48$$ (shown at left in <<figreference 3_1_Intro.svg>>) that
represents the height of an object tossed vertically: its maximum value
occurs at the vertex of the parabola and represents the highest value
that the object reaches. Moreover, this maximum value identifies an
especially important point on the graph, the point at which the curve
changes from increasing to decreasing.
More generally, for any function we consider, we can investigate where
its lowest and highest points occur in comparison to points nearby or to
all possible points on the graph. Given a function $$f$$, we say that
$$f(c)$$ is a ''global'' or ''absolute maximum'' provided that $$f(c) \ge f(x)$$
for all $$x$$ in the domain of $$f$$, and similarly call $$f(c)$$ a ''global''
or ''absolute minimum'' whenever $$f(c) \le f(x)$$ for all $$x$$ in the domain
of $$f$$. For instance, for the function $$g$$ given at right in
<<figreference 3_1_Intro.svg>>, $$g$$ has a global maximum of $$g(c)$$, but $$g$$ does
not appear to have a global minimum, as the graph of $$g$$ seems to
decrease without bound. We note that the point $$(c,g(c))$$ marks a
fundamental change in the behavior of $$g$$, where $$g$$ changes from
increasing to decreasing; similar things happen at both $$(a,g(a))$$ and
$$(b,g(b))$$, although these points are not global mins or maxes.
For any function $$f$$, we say that $$f(c)$$ is a ''local maximum'' or
''relative maximum'' provided that $$f(c) \ge f(x)$$ for all $$x$$ near $$c$$,
while $$f(c)$$ is called a ''local'' or ''relative minimum'' whenever
$$f(c) \le f(x)$$ for all $$x$$ near $$c$$. Any maximum or minimum may be
called an ''extreme value'' of $$f$$. For example, in <<figreference 3_1_Intro.svg>>,
$$g$$ has a relative minimum of $$g(b)$$ at the point $$(b,g(b))$$ and a
relative maximum of $$g(a)$$ at $$(a,g(a))$$. We have already identified the
global maximum of $$g$$ as $$g(c)$$; this global maximum can also be
considered a relative maximum.
We would like to use fundamental calculus ideas to help us identify and
classify key function behavior, including the location of relative
extremes. Of course, if we are given a graph of a function, it is often
straightforward to locate these important behaviors visually. We
investigate this situation in the following preview activity.
!!Critical values and the first derivative test
If a function has a relative extreme value at a point $$(c,f(c))$$, the
function must change its behavior at $$c$$ regarding whether it is
increasing or decreasing before or after the point.
<<figure 3_1_extremes.svg>>
For example, if a continuous function has a relative maximum at $$c$$,
such as those pictured in the two leftmost functions in
<<figreference 3_1_extremes.svg>>, then it is both necessary and sufficient that
the function change from being increasing just before $$c$$ to decreasing
just after $$c$$. In the same way, a continuous function has a relative
minimum at $$c$$ if and only if the function changes from decreasing to
increasing at $$c$$. See, for instance, the two functions pictured at
right in <<figreference 3_1_extremes.svg>>. There are only two possible ways for
these changes in behavior to occur: either $$f'(c) = 0$$ or $$f'(c)$$ is
undefined.
Because these values of $$c$$ are so important, we call them ''critical
values''. More specifically, we say that a function $$f$$ has a ''critical
value'' at $$x = c$$ provided that $$f'(c) = 0$$ or $$f'(c)$$ is undefined.
Critical values provide us with the only possible locations where the
function $$f$$ may have relative extremes. Note that not every critical
value produces a maximum or minimum; in the middle graph of
<<figreference 3_1_extremes.svg>>, the function pictured there has a horizontal
tangent line at the noted point, but the function is increasing before
and increasing after, so the critical value does not yield a location
where the function is greater than every value nearby, nor less than
every value nearby.
The ''first derivative test'' summarizes how sign changes in the first
derivative indicate the presence of a local maximum or minimum for a
given function.
<table width="100%">''First Derivative Test:'' If $$p$$ is a critical value of a continuous function $$f$$ that is differentiable near $$p$$ (except possibly at $$x = p$$), then $$f$$ has a relative maximum at $$p$$ if and only if $$f'$$ changes sign from positive to negative at $$p$$, and $$f$$ has a relative minimum at $$p$$ if and only if $$f'$$ changes sign from negative to positive at $$p$$.
We consider an example to show one way the first derivative test can be
used to identify the relative extreme values of a function.
''Example 3.1.'' Let $$f$$ be a function whose derivative is given by the formula
$$f'(x) = e^{-2x}(3-x)(x+1)^2$$. Determine all critical values of $$f$$ and
decide whether a relative maximum, relative minimum, or neither occurs
at each.
''Solution.'' Since we already have $$f'(x)$$ written in factored form, it is
straightforward to find the critical values of $$f$$. Since $$f'(x)$$ is
defined for all values of $$x$$, we need only determine where $$f'(x) = 0$$.
From the equation $$e^{-2x}(3-x)(x+1)^2 = 0$$
$$e^{-2x}(3-x)(x+1)^2 = 0$$
and the zero product property, it follows that $$x = 3$$ and $$x = -1$$ are
critical values of $$f$$. (Note particularly that there is no value of $$x$$
that makes $$e^{-2x} = 0$$.)
Next, to apply the first derivative test, we’d like to know the sign of
$$f'(x)$$ at values near the critical values. Because the critical values
are the only locations at which $$f'$$ can change sign, it follows that
the sign of the derivative is the same on each of the intervals created
by the critical values: for instance, the sign of $$f'$$ must be the same
for every value of $$x < -1$$. We create a first derivative sign chart to
summarize the sign of $$f'$$ on the relevant intervals along with the
corresponding behavior of $$f$$.
<<figure 3_1_signchart.svg>>
The first derivative sign chart in <<figreference 3_1_signchart.svg>> comes from
thinking about the sign of each of the terms in the factored form of
$$f'(x)$$ at one selected point in the interval under consideration. For
instance, for $$x < -1$$, we could consider $$x = -2$$ and determine the
sign of $$e^{-2x}$$, $$(3-x)$$, and $$(x+1)^2$$ at the value $$x = -2$$. We note
that both $$e^{-2x}$$ and $$(x+1)^2$$ are positive regardless of the value
of $$x$$, while $$(3-x)$$ is also positive at $$x = -2$$. Hence, each of the
three terms in $$f'$$ is positive, which we indicate by writing “$$+++$$.”
Taking the product of three positive terms obviously results in a value
that is positive, which we denote by the “$$+$$” in the interval to the
left of $$x = -1$$ indicating the overall sign of $$f'$$. And, since $$f'$$ is
positive on that interval, we further know that $$f$$ is increasing, which
we summarize by writing “INC” to represent the corresponding behavior of
$$f$$. In a similar way, we find that $$f'$$ is positive and $$f$$ is
increasing on $$-1 < x < 3$$, and $$f'$$ is negative and $$f$$ is decreasing
for $$x > 3$$.
Now, by the first derivative test, to find relative extremes of $$f$$ we
look for critical value at which $$f'$$ changes sign. In this example,
$$f'$$ only changes sign at $$x = 3$$, where $$f'$$ changes from positive to
negative, and thus $$f$$ has a relative maximum at $$x = 3$$. While $$f$$ has
a critical value at $$x = -1$$, since $$f$$ is increasing both before and
after $$x = -1$$, $$f$$ has neither a minimum nor a maximum at $$x = -1$$.
---
!!The second derivative test
Recall that the second derivative of a function tells us several
important things about the behavior of the function itself. For
instance, if $$f''$$ is positive on an interval, then we know that $$f'$$ is
increasing on that interval and, consequently, that $$f$$ is concave up,
which also tells us that throughout the interval the tangent line to
$$y = f(x)$$ lies below the curve at every point. In this situation where
we know that $$f'(p) = 0$$, it turns out that the sign of the second
derivative determines whether $$f$$ has a local minimum or local maximum
at the critical value $$p$$.
<<figure 3_1_2Dtest.svg>>
In <<figreference 3_1_2Dtest.svg>>, we see the four possibilities for a function
$$f$$ that has a critical point $$p$$ at which $$f'(p) = 0$$, provided
$$f''(p)$$ is not zero on an interval including $$p$$ (except possibly at
$$p$$). On either side of the critical point, $$f''$$ can be either positive
or negative, and hence $$f$$ can be either concave up or concave down. In
the first two graphs, $$f$$ does not change concavity at $$p$$, and in those
situations, $$f$$ has either a local minimum or local maximum. In
particular, if $$f'(p) = 0$$ and $$f''(p) < 0$$, then we know $$f$$ is concave
down at $$p$$ with a horizontal tangent line, and this guarantees $$f$$ has
a local maximum there. This fact, along with the corresponding statement
for when $$f''(p)$$ is positive, is stated in the ''second derivative
test''.
<table>
''Second Derivative Test:'' If $$p$$ is a critical value of a continuous function $$f$$ such that $$f'(p) = 0$$ and $$f''(p) \ne 0$$, then $$f$$ has a relative maximum at $$p$$ if and only if $$f''(p) < 0$$, and $$f$$ has a relative minimum at $$p$$ if and only if $$f''(p) > 0$$.
In the event that $$f''(p) = 0$$, the second derivative test is
inconclusive. That is, the test doesn’t provide us any information. This
is because if $$f''(p) = 0$$, it is possible that $$f$$ has a local minimum,
local maximum, or neither.<<footnote "[1]" "Consider the functions {{f(x) = x^4}}, {{g(x) = -x^4}}, and
{{h(x) = x^3}} at the critical point {{p = 0}}.">>
Just as a first derivative sign chart reveals all of the increasing and
decreasing behavior of a function, we can construct a second derivative
sign chart that demonstrates all of the important information involving
concavity.
''Example 3.2.'' Let $$f(x)$$ be a function whose first derivative is
$$f'(x) = 3x^4 - 9x^2$$. Construct both first and second derivative sign
charts for $$f$$, fully discuss where $$f$$ is increasing and decreasing and
concave up and concave down, identify all relative extreme values, and
sketch a possible graph of $$f$$.
''Solution.'' Since we know $$f'(x) = 3x^4 - 9x^2$$, we can find the critical values of
$$f$$ by solving $$3x^4 - 9x^2 = 0$$. Factoring, we observe that
$$0 = 3x^2(x^2 - 3) = 3x^2(x+\sqrt{3})(x-\sqrt{3}),$$
$$0 = 3x^2(x^2 - 3) = 3x^2(x+\sqrt{3})(x-\sqrt{3}),$$
so that $$x = 0, \pm\sqrt{3}$$ are the three critical values of $$f$$. It
then follows that the first derivative sign chart for $$f$$ is given in
<<figreference 3_1_signchart2.svg>>.
<<figure 3_1_signchart2.svg>>
Thus, $$f$$ is increasing on the intervals $$(-\infty, -\sqrt{3})$$ and
$$(\sqrt{3}, \infty)$$, while $$f$$ is decreasing on $$(-\sqrt{3},0)$$ and
$$(0, \sqrt{3})$$. Note particularly that by the first derivative test,
this information tells us that $$f$$ has a local maximum at
$$x = -\sqrt{3}$$ and a local minimum at $$x = \sqrt{3}$$. While $$f$$ also
has a critical value at $$x = 0$$, neither a maximum nor minimum occurs
there since $$f'$$ does not change sign at $$x = 0$$.
Next, we move on to investigate concavity. Differentiating
$$f'(x) = 3x^4 - 9x^2$$, we see that $$f''(x) = 12x^3 - 18x$$. Since we are
interested in knowing the intervals on which $$f''$$ is positive and
negative, we first find where $$f''(x) = 0$$. Observe that
$$0 = 12x^3 - 18x = 12x\left(x^2 - \frac{3}{2}\right) =$$ $$ 12x\left(x+\sqrt{\frac{3}{2}}\right)\left(x-\sqrt{\frac{3}{2}}\right)$$
which implies that $$x = 0, \pm\sqrt{\frac{3}{2}}$$. Building a sign chart
for $$f''$$ in the exact same way we do so for $$f$$, we see the result
shown in <<figreference 3_1_signchart3.svg>>.
<<figure 3_1_signchart3.svg>>
Therefore, $$f$$ is concave down on the intervals
$$(-\infty, -\sqrt{\frac{3}{2}})$$ and $$(0, \sqrt{\frac{3}{2}})$$, and
concave up on $$(0, \sqrt{\frac{3}{2}})$$ and
$$(\sqrt{\frac{3}{2}}, \infty)$$.
Putting all of the above information together, we now see a complete and
accurate possible graph of $$f$$ in <<figreference 3_1_Ex2.svg>>.
The point $$A = (-\sqrt{3}, f(-\sqrt{3})$$ is a local maximum, as $$f$$ is
increasing prior to $$A$$ and decreasing after; similarly, the point
$$E = (\sqrt{3}, f(\sqrt{3})$$ is a local minimum. Note, too, that $$f$$ is
concave down at $$A$$ and concave up at $$B$$, which is consistent both with
our second derivative sign chart and the second derivative test. At
points $$B$$ and $$D$$, concavity changes, as we saw in the results of the
second derivative sign chart in <<figreference 3_1_signchart3.svg>>. Finally, at
point $$C$$, $$f$$ has a critical value with a horizontal tangent line, but
neither a maximum nor a minimum occurs there since $$f$$ is decreasing
both before and after $$C$$. It is also the case that concavity changes at
$$C$$.
While we completely understand where $$f$$ is increasing and decreasing,
where $$f$$ is concave up and concave down, and where $$f$$ has relative
extremes, we do not know any specific information about the
$$y$$-coordinates of points on the curve. For instance, while we know that
$$f$$ has a local maximum at $$x = -\sqrt{3}$$, we don’t know the value of
that maximum because we do not know $$f(-\sqrt{3})$$. Any vertical
translation of our sketch of $$f$$ in <<figreference 3_1_Ex2.svg>> would satisfy the
given criteria for $$f$$.
---
Points $$B$$, $$C$$, and $$D$$ in <<figreference 3_1_Ex2.svg>> are locations at which
the concavity of $$f$$ changes. We give a special name to any such point:
if $$p$$ is a value in the domain of a continuous function $$f$$ at which
$$f$$ changes concavity, then we say that $$(p,f(p))$$ is an ''inflection
point'' of $$f$$. Just as we look for locations where $$f$$ changes from
increasing to decreasing at points where $$f'(p) = 0$$ or $$f'(p)$$ is
undefined, so too we find where $$f''(p) = 0$$ or $$f''(p)$$ is undefined to
see if there are points of inflection at these locations.
It is important at this point in our study to remind ourselves of the
big picture that derivatives help to paint: the sign of the first
derivative $$f'$$ tells us ''whether'' the function $$f$$ is increasing or
decreasing, while the sign of the second derivative $$f''$$ tells us ''how''
the function $$f$$ is increasing or decreasing.
As we will see in more detail in the following section, derivatives also
help us to understand families of functions that differ only by changing
one or more parameters. For instance, we might be interested in
understanding the behavior of all functions of the form
$$f(x) = a(x-h)^2 + k$$ where $$a$$, $$h$$, and $$k$$ are numbers that may vary.
In the following activity, we investigate a particular example where the
value of a single parameter has considerable impact on how the graph
appears.
!!Summary
---
In this section, we encountered the following important ideas:
---
* The critical values of a continuous function $$f$$ are the values of $$p$$ for which $$f'(p) = 0$$ or $$f'(p)$$ does not exist. These values are important because they identify horizontal tangent lines or corner points on the graph, which are the only possible locations at which a local maximum or local minimum can occur.
* Given a differentiable function $$f$$, whenever $$f'$$ is positive, $$f$$ isincreasing; whenever $$f'$$ is negative, $$f$$ is decreasing. The first derivative test tells us that at any point where $$f$$ changes from increasing to decreasing, $$f$$ has a local maximum, while conversely at any point where $$f$$ changes from decreasing to increasing $$f$$ has a local minimum.
* Given a twice differentiable function $$f$$, if we have a horizontal tangent line at $$x = p$$ and $$f''(p)$$ is nonzero, then the fact that $$f''$$ tells us the concavity of $$f$$ will determine whether $$f$$ has a maximum or minimum at $$x = p$$. In particular, if $$f'(p) = 0$$ and $$f''(p) < 0$$, then $$f$$ is concave down at $$p$$ and $$f$$ has a local maximum there, while if $$f'(p) = 0$$ and $$f''(p) > 0$$, then $$f$$ has a local minimum at $$p$$. If $$f'(p) = 0$$ and $$f''(p) = 0$$, then the second derivative does not tell us whether $$f$$ has a local extreme at $$p$$ or not.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the family of functions defined by $$p(x) = x^3 - ax$$, where $$a \ne 0$$ is an arbitrary constant.
''a)'' Find $$p'(x)$$ and determine the critical values of $$p$$. How many critical
values does $$p$$ have?
''b)'' Construct a first derivative sign chart for $$p$$. What can you say about
the overall behavior of $$p$$ if the constant $$a$$ is positive? Why? What
if the constant $$a$$ is negative? In each case, describe the relative
extremes of $$p$$.
''c)'' Find $$p''(x)$$ and construct a second derivative sign chart for $$p$$. What
does this tell you about the concavity of $$p$$? What role does $$a$$ play
in determining the concavity of $$p$$?
''d)'' Without using a graphing utility, sketch and label typical graphs of
$$p(x)$$ for the cases where $$a > 0$$ and $$a < 0$$. Label all inflection
points and local extrema.
''e)'' Finally, use a graphing utility to test your observations above by
entering and plotting the function $$p(x) = x^3 - ax$$ for at least four
different values of $$a$$. Write several sentences to describe your
overall conclusions about how the behavior of $$p$$ depends on $$a$$.
When solving $$p'(x) = 0$$, think about two possible cases: when $$a > 0$$
and when $$a < 0$$.
Remember that any quadratic function can be zero at most two times. How
does the graph of $$y = 3x^2 - a$$ look?
Don’t forget that $$\frac{d}{dx}[a] = 0$$.
Think about how a typical cubic polynomial’s graph behaves.
Note that $$p'(x) = 3x^2 - a$$. When solving $$p'(x) = 0$$, think about two
possible cases: when $$a > 0$$ and when $$a < 0$$.
Remember that any quadratic function can be zero at most two times. How
does the graph of $$y = 3x^2 - a$$ look?
Don’t forget that $$\frac{d}{dx}[a] = 0$$.
Think about how a typical cubic polynomial’s graph behaves and use your
work in (a) - (c).
We first note that $$p'(x) = 3x^2 - a$$, so to find critical values we set
$$p'(x) = 0$$ and solve for $$x$$. This leads to the equation
$$3x^2 - a = 0$$, which implies $$x^2 = \frac{a}{3}.$$
If $$a > 0$$, then the solutions to this equation are
$$x = \pm \sqrt{\frac{a}{3}}$$; if $$a < 0$$, then the equation has no
solution. Hence, $$p$$ has two critical numbers
($$x = \pm \sqrt{\frac{a}{3}}$$) whenever $$a > 0$$ and no critical numbers
when $$a < 0$$.
For the case when $$a < 0$$, we observe that $$p'(x) = 3x^2 - a$$ is
positive for every value of $$x$$, and thus $$p$$ is always increasing and
has no relative extreme values. (There are no critical numbers to place
on the first derivative sign chart, and $$p'$$ is always positive.)
For the case when $$a > 0$$, we observe that $$p'(x) = 3x^2 - a$$ is a
concave up parabola with zeros at $$x = -\sqrt{\frac{a}{3}}$$ and
$$x = +\sqrt{\frac{a}{3}}$$. It follows that for
$$x < -\sqrt{\frac{a}{3}}$$, $$p'(x) > 0$$ (so $$p$$ is increasing); for
$$-\sqrt{\frac{a}{3}} < x < \sqrt{\frac{a}{3}}$$, $$p'(x) > 0$$ (so $$p$$ is
decreasing); and for $$x > \sqrt{\frac{a}{3}}$$, $$p'(x) > 0$$ (so $$p$$ is
again increasing). In this situation, we see that $$p$$ has a relative
maximum at $$x = -\sqrt{\frac{a}{3}}$$ and a relative minimum at
$$x = +\sqrt{\frac{a}{3}}$$.
Since $$p'(x) = 3x^2 - a$$ and $$a$$ is constant, it follows that
$$p''(x) = 6x$$. Note that $$p''(x) = 0$$ when $$x = 0$$ and that $$p''(x) < 0$$
for $$x < 0$$ and $$p''(x) > 0$$ for $$x > 0$$. Hence $$p$$ is CCD for $$x < 0$$
and $$p$$ is CCU for $$x > 0$$, making $$x = 0$$ an inflection point.
Below, we show the two possible situations. At left, for the case when
$$a < 0$$ and $$p$$ is always increasing with an inflection point at
$$x = 0$$, and at right for when $$a > 0$$ and $$p$$ has a relative maximum at
$$x = -\sqrt{\frac{a}{3}}$$ and a relative minimum at
$$x = +\sqrt{\frac{a}{3}}$$, again with an inflection point at $$x = 0$$.
Note, too, that $$p$$ has its $$x$$-intercepts at $$x = \pm \sqrt{a}$$.
![image](figures/3_2_Act1Soln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the two-parameter family of functions of the form
$$h(x) = a(1-e^{-bx}),$$ where $$a$$ and $$b$$ are positive real numbers.
''a)'' Find the first derivative and the critical values of $$h$$. Use these to
construct a first derivative sign chart and determine for which values
of $$x$$ the function $$h$$ is increasing and decreasing.
''b)'' Find the second derivative and build a second derivative sign chart. For
which values of $$x$$ is a function in this family concave up? concave
down?
''c)'' What is the value of $$\lim_{x \to \infty} a(1-e^{-bx})$$?
$$\lim_{x \to -\infty} a(1-e^{-bx})$$?
''d)'' How does changing the value of $$b$$ affect the shape of the curve?
''e)'' Without using a graphing utility, sketch the graph of a typical member
of this family. Write several sentences to describe the overall behavior
of a typical function $$h$$ and how this behavior depends on $$a$$ and $$b$$.
Expand to write $$h(x) = a - ae^{-bx}$$ before differentiating.
Remember that $$e^{-bx}$$ is never zero and always positive, regardless of
the value of $$x$$.
Recall that $$e^{-x} \to 0$$ as $$x \to \infty$$ and $$e^{-x} \to \infty$$ as
$$x \to -\infty$$.
Consider how $$b$$ affects the value of $$h'(x)$$.
Use your work in (a)-(d).
Expand to write $$h(x) = a - ae^{-bx}$$ before differentiating, and
remember to treat $$a$$ and $$b$$ as constants.
Remember that $$e^{-bx}$$ is never zero and always positive, regardless of
the value of $$x$$, and that $$a$$ and $$b$$ are positive constants.
Recall that $$e^{-x} \to 0$$ as $$x \to \infty$$ and $$e^{-x} \to \infty$$ as
$$x \to -\infty$$.
Consider how $$b$$ affects the value of $$h'(x)$$.
Use your work in (a)-(d).
Since $$h(x) = a - ae^{-bx}$$, we have by the constant multiple and chain
rules that $$h'(x) = -ae^{-bx}(-b) = abe^{-bx}.$$
Since $$a$$ and $$b$$ are positive constants and $$e^{-bx} > 0$$ for all $$x$$,
we see that $$h'(x)$$ is never zero (nor undefined), and indeed
$$h'(x) > 0$$ for all $$x$$. Hence $$h$$ is an always increasing function.
Because $$h'(x) = abe^{-bx},$$ we have that
$$h''(x) = abe^{-bx}(-b) = -ab^2e^{-bx}$$. As with $$h'$$, we recognize that
$$a$$, $$b^2$$, and $$e^{-bx}$$ are always positive, and thus
$$h''(x) = -ab^2e^{-bx} < 0$$ for all values of $$x$$, making $$h$$ always
concave down.
As $$x \to \infty$$, $$e^{-bx} \to 0$$. Thus,
$$\lim_{x \to \infty} a(1-e^{-bx}) = \lim_{x \to \infty} a - ae^{-bx} = a - 0 = a.$$
This shows that $$h$$ has a horizontal asymptote at $$y = a$$ as we move
rightward on its graph.
As $$x \to -\infty$$, $$e^{-bx} \to \infty$$. Thus,
$$\lim_{x \to \infty} a(1-e^{-bx}) = \lim_{x \to \infty} a - ae^{-bx} = -\infty.$$
Noting that $$h'(x) = abe^{-bx}$$, we see that if we consider different
values of $$b$$, the slope of the graph changes. If $$b$$ is large and $$x$$
is close to zero, $$h'(x) \approx ab$$ (since $$e^0 = 1$$), so $$h'(x)$$ is
relatively large near $$x = 0$$. At the same time, for large $$b$$,
$$e^{-bx}$$ approaches zero quickly as $$x$$ increases, so the curve’s slope
will quickly approach zero as $$x$$ increases. If $$b$$ is small, the graph
is less steep near $$x = 0$$ and its slope goes to zero less quickly as
$$x$$ increases.
Observing that $$h(0) = 0$$ and $$\lim_{x \to \infty} h(x) = a$$, along with
the facts that $$h$$ is always increasing and always concave down, we see
that a typical member of this family looks like the following graph.
![image](figures/3_2_Act2Soln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$L(t) = \frac{A}{1+ce^{-kt}}$$, where $$A$$, $$c$$, and $$k$$ are all
positive real numbers.
''a)'' Observe that we can equivalently write $$L(t) = A(1+ce^{-kt})^{-1}$$. Find
$$L'(t)$$ and explain why $$L$$ has no critical values. Is $$L$$ always
increasing or always decreasing? Why?
''b)'' Given the fact that
$$L''(t) = Ack^2e^{-kt} \frac{ce^{-kt}-1}{(1+ce^{-kt})^3},$$
find all values of $$t$$ such that $$L''(t) = 0$$ and hence construct a
second derivative sign chart. For which values of $$t$$ is a function in
this family concave up? concave down?
''c)'' What is the value of $$\lim_{t \to \infty} \frac{A}{1+ce^{-kt}}$$?
$$\lim_{t \to -\infty} \frac{A}{1+ce^{-kt}}$$?
''d)'' Find the value of $$L(x)$$ at the inflection point found in (b).
''e)'' Without using a graphing utility, sketch the graph of a typical member
of this family. Write several sentences to describe the overall behavior
of a typical function $$h$$ and how this behavior depends on $$a$$ and $$b$$.
''f)'' Explain why it is reasonable to think that the function $$L(t)$$ models
the growth of a population over time in a setting where the largest
possible population the surrounding environment can support is $$A$$.
Use the chain rule, treating $$A$$, $$c$$, and $$k$$ as constants.
Note that the only way $$L''(t) = 0$$ is if $$ce^{-kt}-1 = 0$$.
Remember that $$e^{-t} \to 0$$ as $$t \to \infty$$ and $$e^{-t} \to \infty$$
as $$t \to -\infty$$.
Don’t forget that $$e^{\ln(x)} = x$$ for all $$x > 0$$.
Think about horizontal asymptotes, where $$L$$ is increasing and
decreasing, and concavity.
Use the chain rule, treating $$A$$, $$c$$, and $$k$$ as constants. Remember
that $$e^{-kt} > 0$$ for all values of $$t$$.
Note that the only way $$L''(t) = 0$$ is if $$ce^{-kt}-1 = 0$$. Observe that
since $$ce^{-kt} \to 0$$ as $$t \to \infty$$, the quantity $$ce^{-kt} - 1$$
will be positive to the left of where it is zero and negative to the
right of where it is zero.
Remember that $$e^{-t} \to 0$$ as $$t \to \infty$$ and $$e^{-t} \to \infty$$
as $$t \to -\infty$$.
Don’t forget that $$e^{\ln(x)} = x$$ for all $$x > 0$$.
Think about horizontal asymptotes, where $$L$$ is increasing and
decreasing, and concavity. In addition, find $$L(0)$$ and plot both this
point and the inflection point.
By the chain rule and treating $$A$$, $$c$$, and $$k$$ as constants, we find
that
$$L'(t) = A(-1)(1+ce^{-kt})^{-2} ce^{-kt}(-k) = Acke^{-kt}(1+ce^{-kt})^{-2}.$$
Since $$A$$, $$c$$, and $$k$$ are all positive and $$e^{-kt} > 0$$ for all
values of $$t$$, it is apparent that $$L'(t)$$ is never zero, and indeed is
positive for every value of $$t$$. Thus, $$L$$ is an always increasing
function.
$$L''(t) = Ack^2e^{-kt} \frac{ce^{-kt}-1}{(1+ce^{-kt})^3},$$ the only
way $$L''(t) = 0$$ is if $$ce^{-kt}-1 = 0$$. Solving $$ce^{-kt}-1 = 0$$ for
$$t$$, we first write $$e^{-kt} = \frac{1}{c}$$. Taking the natural
logarithm of both sides, $$-kt = \ln(\frac{1}{c})$$, so that
$$t = -\frac{1}{k} \ln \left(\frac{1}{c}\right)$$
is the only value of $$t$$ for which $$L''(t) = 0$$. Now, observe that since
$$ce^{-kt} \to 0$$ as $$t \to \infty$$, the quantity $$ce^{-kt} - 1$$ will be
positive to the left of where it is zero and negative to the right of
where it is zero. Since this is the only term in $$L''(t)$$ that can
change sign, it follows that $$L''(t) > 0$$ for
$$t < -\frac{1}{k} \ln \left(\frac{1}{c}\right)$$ and $$L''(t) > 0$$ for
$$t > -\frac{1}{k} \ln \left(\frac{1}{c}\right)$$, making $$L$$ concave up
to the left of the noted inflection point and concave down thereafter.
Recalling that $$e^{-kt} \to 0$$ as $$t \to \infty$$, we observe that
$$\lim_{t \to \infty} \frac{A}{1+ce^{-kt}} = \frac{A}{1+0} = A,$$
so $$L$$ has a horizontal asymptote of $$y = A$$ as $$t \to \infty$$. On the
other hand, since $$e^{-kt} \to \infty$$ as $$t \to -\infty$$, this causes
the denominator of $$L$$ to grow without bound (while the numerator
remains constant), and therefore
$$\lim_{t \to \infty} \frac{A}{1+ce^{-kt}} = 0,$$
which means $$L$$ has a horizontal asymptote of $$y = 0$$ as
$$t \to -\infty$$.
From (b), we know that $$t = -\frac{1}{k} \ln \left(\frac{1}{c}\right)$$
is the location of the inflection point of $$L$$. Evaluating the function
at this point, we find that
$$L\left( -\frac{1}{k} \ln \left(\frac{1}{c}\right) \right) = \frac{A}{1+ce^{-k [-\frac{1}{k} \ln \left(\frac{1}{c}\right)]}} = \frac{A}{1+ce^{\ln \left(\frac{1}{c}\right)}} = \frac{A}{1+c \cdot \frac{1}{c}} = \frac{A}{2}.$$
Thus, the inflection point on the graph of $$L$$ is located at
$$( -\frac{1}{k} \ln \left(\frac{1}{c}\right), \frac{A}{2})$$.
We have shown that $$L$$ is an always increasing function that has
horizontal asymptotes at $$y =0$$ and $$y = A$$, as well as an inflection
point at $$( -\frac{1}{k} \ln \left(\frac{1}{c}\right), \frac{A}{2})$$,
which we note lies vertically halfway between the asymptotes. In
addition, we see that $$L(0) = \frac{A}{1+c}$$. The combination of all of
this information shows us that a typical graph in this family of
functions is given by the following figure.
![image](figures/3_2_Act3Soln.eps)
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the one-parameter family of functions given by
$$p(x) = x^3-ax^2$$, where $$a>0$$.
''a)'' Sketch a plot of a typical member of the family, using the fact that
each is a cubic polynomial with a repeated zero at $$x = 0$$ and another
zero at $$x = a$$.
''b)'' Find all critical values of $$p$$.
''c)'' Compute $$p''$$ and find all values for which $$p''(x) = 0$$. Hence
construct a second derivative sign chart for $$p$$.
''d)'' Describe how the location of the critical values and the inflection
point of $$p$$ change as $$a$$ changes. That is, if the value of $$a$$ is
increased, what happens to the critical values and inflection point?
''2.'' Let $$q(x) = \frac{e^{-x}}{x-c}$$ be a one-parameter family of
functions where $$c > 0$$.
''a)'' Explain why $$q$$ has a vertical asymptote at $$x = c$$.
''b)'' Determine $$\lim_{x \to \infty} q(x)$$ and
$$\lim_{x \to -\infty} q(x)$$.
''c)'' Compute $$q'(x)$$ and find all critical values of $$q$$.
''d)'' Construct a first derivative sign chart for $$q$$ and determine whether
each critical value results in a local minimum, local maximum, or
neither.
''e)'' Sketch a typical member of this family of functions with important
behaviors clearly labeled.
''3.'' Let $$E(x) = e^{-\frac{(x-m)^2}{2s^2}}$$, where $$m$$ is any real number and
$$s$$ is a positive real number.
''a)'' Compute $$E'(x)$$ and hence find all critical values of $$E$$.
''b)'' Construct a first derivative sign chart for $$E$$ and classify each
critical value as a local minimum, local maximum, or neither.
''c)'' It can be shown that $$E''(x)$$ is given by the formula
$$E''(x) = e^{-\frac{(x-m)^2}{2s^2}} \left(\frac{(x-m)^2 - s^2}{s^4} \right).$$
Find all values of $$x$$ for which $$E''(x) = 0$$.
''d)'' Determine $$\lim_{x \to \infty} E(x)$$ and
$$\lim_{x \to -\infty} E(x)$$.
''e)'' Construct a labeled graph of a typical function $$E$$ that clearly shows
how important points on the graph of $$y = E(x)$$ depend on $$m$$ and $$s$$.
Given a family of functions that depends on one or more parameters, how
does the shape of the graph of a typical function in the family depend
on the value of the parameters?
How can we construct first and second derivative sign charts of
functions that depend on one or more parameters while allowing those
parameters to remain arbitrary constants?
Mathematicians are often interested in making general observations, say
by describing patterns that hold in a large number of cases. For
example, think about the Pythagorean Theorem: it doesn’t tell us
something about a single right triangle, but rather a fact about ''every''
right triangle, thus providing key information about every member of the
right triangle family. In the next part of our studies, we would like to
use calculus to help us make general observations about families of
functions that depend on one or more parameters. People who use applied
mathematics, such as engineers and economists, often encounter the same
types of functions in various settings where only small changes to
certain constants occur. These constants are called ''parameters''.
<<figure "3_2_SineFam.svg">>
We are already familiar with certain families of functions. For example,
$$f(t) = a \sin(b(t-c)) + d$$ is a stretched and shifted version of the
sine function with amplitude $$a$$, period $$\frac{2\pi}{b}$$, phase shift
$$c$$, and vertical shift $$d$$. We understand from experience with
trigonometric functions that $$a$$ affects the size of the oscillation,
$$b$$ the rapidity of oscillation, and $$c$$ where the oscillation starts,
as shown in <<figreference 3_2_SineFam.svg>>, while $$d$$ affects the vertical
positioning of the graph.
In addition, there are several basic situations that we already
understand completely. For instance, every function of the form
$$y = mx + b$$ is a line with slope $$m$$ and $$y$$-intercept $$(0,b)$$. Note
that this form allows us to consider every possible line through two
parameters. Further, we understand that the value of $$m$$ affects the
line’s steepness and whether the line rises or falls from left to right,
while the value of $$b$$ situates the line vertically on the coordinate
axes.
For other less familiar families of functions, we would like to use
calculus to understand and classify where key behavior occurs: where
members of the family are increasing or decreasing, concave up or
concave down, where relative extremes occur, and more, all in terms of
the parameters involved. To get started, we revisit a common collection
of functions to see how calculus confirms things we already know.
!!Describing families of functions in terms of parameters
Given a family of functions that depends on one or more parameters, our
goal is to describe the key characteristics of the overall behavior of
each member of the familiy in terms of those parameters. By finding the
first and second derivatives and constructing first and second
derivative sign charts (each of which may depend on one or more of the
parameters), we can often make broad conclusions about how each member
of the family will appear. The fundamental steps for this analysis are
essentially identical to the work we did in <<reference 3.1.Tests>>, as we
demonstrate through the following example.
''Example 3.3.'' Consider the two-parameter family of functions given by
$$g(x) = axe^{-bx},$$ where $$a$$ and $$b$$ are positive real numbers. Fully
describe the behavior of a typical member of the family in terms of $$a$$
and $$b$$, including the location of all critical values, where $$g$$ is
increasing, decreasing, concave up, and concave down, and the long term
behavior of $$g$$.
''Solution.'' We begin by computing $$g'(x)$$. By the product rule,
$$g'(x) = ax \frac{d}{dx}\left[e^{-bx}\right] + e^{-bx} \frac{d}{dx}[ax],$$
and thus by applying the chain rule and constant multiple rule, we find that
$$g'(x) = axe^{-bx}(-b) + e^{-bx}(a).$$
To find the critical values of $$g$$, we solve the equation $$g'(x) = 0$$.
Here, it is especially helpful to factor $$g'(x)$$. We thus observe that
setting the derivative equal to zero implies
$$0 = ae^{-bx}(-bx + 1).$$
Since we are given that $$a \ne 0$$ and we know that $$e^{-bx} \ne 0$$ for
all values of $$x$$, the only way the preceding equation can hold is when
$$-bx + 1 = 0.$$ Solving for $$x$$, we find that $$x = \frac{1}{b}$$, and this
is therefore the only critical value of $$g$$.
Now, recall that we have shown $$g'(x) = ae^{-bx}(1 - bx)$$ and that the
only critical number of $$g$$ is $$x = \frac{1}{b}$$. This enables us to
construct the first derivative sign chart for $$g$$ that is shown in <<figreference 3_2_signchartg.svg>>.
<<figure 3_2_signchartg.svg>>
Note particularly that in $$g'(x) = ae^{-bx}(1-bx)$$, the term $$ae^{-bx}$$
is always positive, so the sign depends on the linear term $$(1-bx)$$,
which is zero when $$x = \frac{1}{b}$$. Note that this line has negative
slope ($$-b$$), so $$(1-bx)$$ is positive for $$x < \frac{1}{b}$$ and negative
for $$x > \frac{1}{b}$$. Hence we can not only conclude that $$g$$ is always
increasing for $$x < \frac{1}{b}$$ and decreasing for $$x > \frac{1}{b}$$,
but also that $$g$$ has a global maximum at
$$(\frac{1}{b}, g(\frac{1}{b}))$$ and no local minimum.
We turn next to analyzing the concavity of $$g$$. With
$$g'(x) = -abxe^{-bx} + ae^{-bx}$$, we differentiate to find that
$$g''(x) = -abxe^{-bx}(-b) + e^{-bx}(-ab) + ae^{-bx}(-b).$$
Combining like terms and factoring, we now have
$$g''(x) = ab^2xe^{-bx} - 2abe^{-bx} = abe^{-bx}(bx - 2).$$
<<figure 3_2_signchartg2.svg>>
Similar to our work with the first derivative, we observe that
$$abe^{-bx}$$ is always positive, and thus the sign of $$g''$$ depends on
the sign of $$(bx-2)$$, which is zero when $$x = \frac{2}{b}$$. Since
$$(bx-2)$$ represents a line with positive slope $$(b)$$, the value of
$$(bx-2)$$ is negative for $$x < \frac{2}{b}$$ and positive for
$$x > \frac{2}{b}$$, and thus the sign chart for $$g''$$ is given by the one
shown in <<figreference 3_2_signchartg2.svg>>. Thus, $$g$$ is concave down for all
$$x < \frac{2}{b}$$ and concave up for all $$x > \frac{2}{b}$$.
Finally, we analyze the long term behavior of $$g$$ by considering two
limits. First, we note that
$$\lim_{x \to \infty} g(x) = \lim_{x \to \infty} axe^{-bx} = \lim_{x \to \infty} \frac{ax}{e^{bx}}.$$
Since this limit has indeterminate form $$\frac{\infty}{\infty}$$, we can
apply L’Hopital’s Rule and thus find that
$$\lim_{x \to \infty} g(x) = 0$$. In the other direction,
$$\lim_{x \to -\infty} g(x) = \lim_{x \to -\infty} axe^{-bx} = -\infty,$$
since $$ax \to -\infty$$ and $$e^{-bx} \to \infty$$ as $$x \to -\infty$$.
Hence, as we move left on its graph, $$g$$ decreases without bound, while
as we move to the right, $$g(x) \to 0$$.
All of the above information now allows us to produce the graph of a
typical member of this family of functions without using a graphing
utility (and without choosing particular values for $$a$$ and $$b$$), as
shown in <<figreference 3_2_SurgeFam.svg>>.
<<figure 3_2_SurgeFam.svg>>
We note that the value of $$b$$ controls the horizontal location of the
global maximum and the inflection point, as neither depends on $$a$$. The
value of $$a$$ affects the vertical stretch of the graph. For example, the
global maximum occurs at the point
$$(\frac{1}{b}, g(\frac{1}{b})) = (\frac{1}{b}, \frac{a}{b}e^{-1})$$, so
the larger the value of $$a$$, the greater the value of the global
maximum.
---
The kind of work we’ve completed in ''Example 3.3'' can often be
replicated for other families of functions that depend on parameters.
Normally we are most interested in determining all critical values, a
first derivative sign chart, a second derivative sign chart, and some
analysis of the limit of the function as $$x \to \infty$$. Throughout, we
strive to work with the parameters as arbitrary constants. If stuck, it
is always possible to experiment with some particular values of the
parameters present to reduce the algebraic complexity of our work. The
following sequence of activities offers several key examples where we
see that the values of different parameters substantially affect the
behavior of individual functions within a given family.
!!summary
---
In this section, we encountered the following important ideas:
---
* Given a family of functions that depends on one or more parameters, by investigating how critical values and locations where the second derivative is zero depend on the values of these parameters, we can often accurately describe the shape of the function in terms of the parameters.
* In particular, just as we can created first and second derivative sign charts for a single function, we often can do so for entire families of functions where critical values and possible inflection points depend on arbitrary constants. These sign charts then reveal where members of the family are increasing or decreasing, concave up or concave down, and help us to identify relative extremes and inflection points.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let $$a$$, $$h$$, and $$k$$ be arbitrary real numbers with $$a \ne 0$$, and let
$$f$$ be the function given by the rule $$f(x) = a(x-h)^2 + k$$.
''a)'' What familiar type of function is $$f$$? What information do you know
about $$f$$ just by looking at its form? (Think about the roles of $$a$$,
$$h$$, and $$k$$.)
''b)'' Next we use some calculus to develop familiar ideas from a different
perspective. To start, treat $$a$$, $$h$$, and $$k$$ as constants and compute
$$f'(x)$$.
''c)'' Find all critical values of $$f$$. (These will depend on at least one of
$$a$$, $$h$$, and $$k$$.)
''d)'' Assume that $$a < 0$$. Construct a first derivative sign chart for $$f$$.
''e)'' Based on the information you’ve found above, classify the critical
values of $$f$$ as maxima or minima.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$g(x) = \frac{1}{3}x^3 - 2x + 2.$$
''a)'' Find all critical values of $$g$$ that lie in the interval
$$-2 \le x \le 3$$.
''b)'' Use a graphing utility to construct the graph of $$g$$ on the interval
$$-2 \le x \le 3$$.
''c)'' From the graph, determine the $$x$$-values at which the absolute minimum
and absolute maximum of $$g$$ occur on the interval $$[-2,3]$$.
''d)'' How do your answers change if we instead consider the interval
$$-2 \le x \le 2$$?
''e)'' What if we instead consider the interval $$-2 \le x \le 1$$?
Check that each critical value you find satisfies $$-2 \le x \le 3$$.
[`http://wolframalfpha.com`](http://wolframalpha.com) is a great choice.
On the graph, look for the lowest and highest possible values of the
function.
Ask yourself the same questions as (a)-(c), simply using the new
interval.
Check that each critical value you find satisfies $$-2 \le x \le 3$$.
[`http://wolframalfpha.com`](http://wolframalpha.com) is a great choice.
On the graph, look for the lowest and highest possible values of the
function.
Ask yourself the same questions as (a)-(c), simply using the new
interval.
Since $$g'(x) = x^2 - 2$$, the critical values of $$g$$ are
$$x = \pm \sqrt{2} \approx \pm 1.414$$, both of which lie in the interval
$$-2 \le x \le 3$$.
The figure shown below shows three related plots, each with the emphases
on the interval provided in (c), (d), and (e).
![image](figures/3_3_Act1Soln.eps)
On $$[-2,3]$$, $$g$$ has a global maximum at $$x = 3$$ and a global minimum at
$$x = \sqrt{2}$$.
On $$[-2,2]$$, $$g$$ has a global maximum at $$x = -\sqrt{2}$$ and a global
minimum at $$x = \sqrt{2}$$.
On $$[-2,3]$$, $$g$$ has a global maximum at $$x = -\sqrt{2}$$ and a global
minimum at $$x = 1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Find the ''exact'' absolute maximum and minimum of each function on the stated interval.
''a)''
$$h(x) = xe^{-x}$$, $$[0,3]$$
''b)'' $$p(t) = \sin(t) + \cos(t)$$, $$[-\frac{\pi}{2}, \frac{\pi}{2}]$$
''c)''
$$q(x) = \frac{x^2}{x-2}$$, $$[3,7]$$
''d)''
$$f(x) = 4 - e^{-(x-2)^2}$$, $$(-\infty, \infty)$$
''e)''
$$h(x) = xe^{-ax}$$, $$[0, \frac{2}{a}]$$ ($$a > 0$$)
''f)''
$$f(x) = b - e^{-(x-a)^2}$$, $$(-\infty, \infty)$$, $$a, b > 0$$
After computing $$h'(x)$$, factor to write the derivative as a product.
The sine and cosine functions have the same value at
$$\frac{\pi}{4} \pm k\pi$$ for any integer $$k$$.
Upon finding $$q'(x)$$, factor its numerator.
Remember that $$e^{-(x-2)^2}$$ is never zero.
After computing $$h'(x)$$, factor to write the derivative as a product.
Remember that $$e^{-x} \ne 0$$ for all $$x$$.
The sine and cosine functions have the same value at
$$\frac{\pi}{4} \pm k\pi$$ for any integer $$k$$. Which of these occur
within the given interval?
Upon finding $$q'(x)$$, factor its numerator. Observe that even though
$$q'(2)$$ is not defined, $$2$$ is not a critical number because $$q(2)$$ is
not defined; moreover, $$2$$ is not in the interval under consideration.
Remember that $$e^{-(x-2)^2}$$ is never zero. Note that the domain being
considered is all real numbers.
For $$h(x) = xe^{-x}$$, we know that
$$h'(x) = xe^{-x}(-1) + e^{-x} = e^{-x}(-x+1)$$. Therefore, the only
critical value of $$h$$ is $$x = 1$$. Next, we compute $$h(1)$$, $$h(0)$$, and
$$h(3)$$. Observe that
Thus, on $$[0,3]$$, the absolute maximum of $$h$$ is $$e^{-1}$$ and the
absolute minimum is $$0$$.
Given $$p(t) = \sin(t) + \cos(t)$$, it follows
$$p'(t) = \cos(t) - \sin(t)$$, so $$p'(t) = 0$$ implies that
$$\cos(t) =\sin(t)$$. The sine and cosine functions have the same value at
$$\frac{\pi}{4} \pm k\pi$$ for any integer $$k$$. The only time this occurs
in $$[-\frac{\pi}{2}, \frac{\pi}{2}]$$ is for $$x = \frac{\pi}{4}$$, and
thus this is the only critical value of $$p$$ in the given interval. Now,
$$p(\frac{\pi}{4}) = \sin(\frac{\pi}{4}) + \cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = \sqrt{2} \approx 1.41421$$
$$p(-\frac{\pi}{2}) = \sin(-\frac{\pi}{2}) + \cos(-\frac{\pi}{2}) = -1 + 0 = -1$$
$$p(\frac{\pi}{2}) = \sin(\frac{\pi}{2}) + \cos(\frac{\pi}{2}) = 1 + 0 = 1$$
Therefore, on $$[-\frac{\pi}{2},\frac{\pi}{2}]$$, the absolute maximum of
$$p$$ is $$\sqrt{2}$$ and the absolute minimum is $$-1$$.
With $$q(x) = \frac{x^2}{x-2}$$, we have
$$q'(x) = \frac{(x-2)(2x) - x^2(1)}{(x-2)^2} = \frac{2x^2 - 4x - x^2}{(x-2)^2} = \frac{x^2-4x}{(x-2)^2} = \frac{x(x-4)}{(x-2)^2}.$$
Hence, the critical values of $$q$$ are $$x = 0$$ and $$x = 4$$. Only the
latter critical value lies in the interval $$[3,7]$$, and thus we evaluate
$$q$$ and find
We now see that on $$[3,7]$$ the absolute maximum of $$q$$ is 9.8 and the
absolute minimum is 8.
Here, we first observe that we are working on the domain of all real
numbers, not a closed bounded interval. Hence, we need to think about
the overall behavior of the function. First, since
$$f(x) = 4 - e^{-(x-2)^2}$$, by the chain rule we see that
$$f'(x) = -e^{-(x-2)^2}(-2(x-2)) = 2(x-2)e^{-(x-2)^2}.$$ Since
$$e^{-(x-2)^2}$$ is always positive (in particular, never zero), it
follows that the only critical value of $$f$$ is $$x = 2$$. Furthermore,
with $$f'(x) = 2(x-2)e^{-(x-2)^2}$$, we see that for $$x < 2$$, $$f'(x) < 0$$,
while for $$x > 2$$, $$f'(x) > 0$$. This tells us by the first derivative
test that $$f$$ is decreasing for $$x < 2$$ and increasing for $$x > 2$$,
which tells us that $$f$$ has an absolute minimum at $$x = 2$$, and $$f$$ does
not have an absolute maximum.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A piece of cardboard that is $$10 \times 15$$ (each measured in inches) is being made into a box without a top. To do so, squares are cut from each corner of the box and the remaining sides are
folded up. If the box needs to be at least 1 inch deep and no more than
3 inches deep, what is the maximum possible volume of the box? what is
the minimum volume? Justify your answers using calculus.
''a)'' Draw a labeled diagram that shows the given information. What variable
should we introduce to represent the choice we make in creating the box?
Label the diagram appropriately with the variable, and write a sentence
to state what the variable represents.
''b)'' Determine a formula for the function $$V$$ (that depends on the variable
in (a)) that tells us the volume of the box.
''c)'' What is the domain of the function $$V$$? That is, what values of $$x$$ make
sense for input? Are there additional restrictions provided in the
problem?
''d)'' Determine all critical values of the function $$V$$.
''e)'' Evaluate $$V$$ at each of the endpoints of the domain and at any critical
values that lie in the domain.
''f)'' What is the maximum possible volume of the box? the minimum?
Consider letting the length of one side of the removed squares be
represented by $$x$$.
Remember that the volume of a box is length $$\times$$ width $$\times$$
height.
Read the given information carefully and think about the picture.
Note that since $$V$$ is a cubic function, $$V'$$ is quadratic.
Which critical values satisfy $$1 \le x \le 3$$?
Evaluate the function at appropriate points.
Consider letting the length of one side of the removed squares be
represented by $$x$$. Note, then, that one side of the box will have
length $$10 - 2x$$.
Remember that the volume of a box is length $$\times$$ width $$\times$$
height. Write each of length, width, and height in terms of $$x$$.
Read the given information carefully and think about the picture.
Note that since $$V$$ is a cubic function, $$V'$$ is quadratic, so you can
find the critical values exactly.
Which critical values satisfy $$1 \le x \le 3$$?
Evaluate the function at appropriate points and see which is greatest
and which is least.
We let $$x$$ represent the length of a side of the square that is cut from
each corner, so that we have the following picture:
![image](figures/3_3_Act3Soln.eps)
Because the box has dimensions $$(10-2x) \times (15-2x) \times x$$, the
volume of the box is given by
$$V(x) = x (10-2x) (15-2x) = 4x^3 - 50x^2 + 150x.$$
Clearly the smallest $$x$$ can be is 0 and the largest $$x$$ can be is 5,
since one side of the cardboard has length 10. But we’re told in the
problem to restrict the value of $$x$$ to $$1 \le x \le 3$$, so this is the
domain we use for $$V$$, even though $$V$$ is defined for every real number
$$x$$.
Since $$V'(x) = 12x^2 - 100x + 150$$, it follows that the critical values
(where $$V'(x) = 0$$) are
$$x = \frac{25 \pm 5\sqrt{7}}{6} \approx 6.371459426, 1.961873908.$$
Only the latter critical number is in the relevant domain of $$V$$, and
hence we consider
Hence the absolute maximum possible volume of the box is 132.0382370 and
occurs when $$x = 1.961873908$$, while the absolute minimum is 104, which
occurs when $$x=1$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Based on the given information about each function, decide whether the
function has global maximum, a global minimum, neither, both, or that it
is not possible to say without more information. Assume that each
function is twice differentiable and defined for all real numbers,
unless noted otherwise. In each case, write one sentence to explain your
conclusion.
''a)'' $$f$$ is a function such that $$f''(x) < 0$$ for every $$x$$.
''b)'' $$g$$ is a function with two critical values $$a$$ and $$b$$ (where $$a < b$$),
and $$g'(x) < 0$$ for $$x < a$$, $$g'(x) < 0$$ for $$a < x < b$$, and
$$g'(x) > 0$$ for $$x > b$$.
''c)'' $$h$$ is a function with two critical values $$a$$ and $$b$$ (where $$a < b$$),
and $$h'(x) < 0$$ for $$x < a$$, $$h'(x) > 0$$ for $$a < x < b$$, and
$$h'(x) < 0$$ for $$x > b$$. In addition, $$\lim_{x \to \infty} h(x) = 0$$ and
$$\lim_{x \to -\infty} h(x) = 0$$.
''d)'' $$p$$ is a function differentiable everywhere except at $$x = a$$ and
$$p''(x) > 0$$ for $$x < a$$ and $$p''(x) < 0$$ for $$x > a$$.
''2.'' For each family of functions that depends on one or more parameters,
determine the function’s absolute maximum and absolute minimum on the
given interval.
''a)''
$$p(x) = x^3 - a^2x$$, $$[0,a]$$
''b)''
$$r(x) = axe^{-bx}$$, $$[\frac{1}{b}, b]$$
''c)''
$$w(x) = a(1-e^{-bx})$$, $$[b, 3b]$$
''d)''
$$s(x) = \sin(kx)$$, $$[\frac{\pi}{3k}, \frac{5\pi}{6k}]$$
''3.'' For each of the functions described below (each continuous on $$[a,b]$$),
state the location of the function’s absolute maximum and absolute
minimum on the interval $$[a,b]$$, or say there is not enough information
provided to make a conclusion. Assume that any critical values mentioned
in the problem statement represent all of the critical numbers the
function has in $$[a,b]$$. In each case, write one sentence to explain
your answer.
''a)''
$$f'(x) \le 0$$ for all $$x$$ in $$[a,b]$$
''b)''
$$g$$ has a critical value at $$c$$ such that $$a < c< b$$ and $$g'(x) > 0$$ for
$$x < c$$ and $$g'(x) < 0$$ for $$x > c$$
''c)''
$$h(a) = h(b)$$ and $$h''(x) < 0$$ for all $$x$$ in $$[a,b]$$
''d)''
$$p(a) > 0$$, $$p(b) < 0$$, and for the critical value $$c$$ such that
$$a < c < b$$, $$p'(x) < 0$$ for $$x < c$$ and $$p'(x) > 0$$ for $$x > c$$
''4.'' Let $$s(t) = 3\sin(2(t-\frac{\pi}{6})) + 5.$$ Find the exact absolute
maximum and minimum of $$s$$ on the provided intervals by testing the
endpoints and finding and evaluating all relevant critical values of
$$s$$.
''a)''$$[\frac{\pi}{6}, \frac{7\pi}{6}]$$
''b)''
$$[0, \frac{\pi}{2}]$$
''d)''$$[\frac{\pi}{3}, \frac{5\pi}{6}]$$
What are the differences between finding relative extreme values and
global extreme values of a function?
How is the process of finding the global maximum or minimum of a
function over the function’s entire domain different from determining
the global maximum or minimum on a restricted domain?
For a function that is guaranteed to have both a global maximum and
global minimum on a closed, bounded interval, what are the possible
points at which these extreme values occur?
We have seen that we can use the first derivative of a function to
determine where the function is increasing or decreasing, and the second
derivative to know where the function is concave up or concave down.
Each of these approaches provides us with key information that helps us
determine the overall shape and behavior of the graph, as well as
whether the function has a relative minimum or relative maximum at a
given critical value. Remember that the difference between a relative
maximum and a global maximum is that there is a relative minimum of $$f$$
at $$x = p$$ if $$f(p) \ge f(x)$$ for all $$x$$ near $$p$$, while there is a
global maximum at $$p$$ if $$f(p) \ge f(x)$$ for all $$x$$ in the domain of
$$f$$.
For instance, in <<figreference 3_3_Intro.svg>>, we see a function $$f$$ that has a
global maximum at $$x = c$$ and a relative maximum at $$x = a$$, since
$$f(c)$$ is greater than $$f(x)$$ for every value of $$x$$, while $$f(a)$$ is
only greater than the value of $$f(x)$$ for $$x$$ near $$a$$. Since the
function appears to decrease without bound, $$f$$ has no global minimum,
though clearly $$f$$ has a relative minimum at $$x = b$$.
Our emphasis in this section is on finding the global extreme values of
a function (if they exist). In so doing, we will either be interested in
the behavior of the function over its entire domain or on some
restricted portion. The former situation is familiar and similar to work
that we did in the two preceding sections of the text. We explore this
through a particular example in the following preview activity.
For the functions in <<figreference 3_3_Intro.svg>> and <<reference 3.3.PA1>>,
we were interested in finding the global minimum and global maximum on
the entire domain, which turned out to be $$(-\infty, \infty)$$ for each.
At other times, our perspective on a function might be more focused due
to some restriction on its domain. For example, rather than considering
$$f(x) = 2 + \frac{3}{1+(x+1)^2}$$ for every value of $$x$$, perhaps instead
we are only interested in those $$x$$ for which $$0 \le x \le 4$$, and we
would like to know which values of $$x$$ in the interval $$[0,4]$$ produce
the largest possible and smallest possible values of $$f$$. We are
accustomed to critical values playing a key role in determining the
location of extreme values of a function; now, by restricting the domain
to an interval, it makes sense that the endpoints of the interval will
also be important to consider, as we see in the following activity. When
limiting ourselves to a particular interval, we will often refer to the
''absolute'' maximum or minimum value, rather than the ''global'' maximum or
minimum.
In <<reference 3.3.Act1>>, we saw how the absolute maximum and absolute
minimum of a function on a closed, bounded interval $$[a,b]$$, depend not
only on the critical values of the function, but also on the selected
values of $$a$$ and $$b$$. These observations demonstrate several important
facts that hold much more generally. First, we state an important result
called the Extreme Value Theorem.
<table>
<span>''The Extreme Value Theorem:''</span>If $$f$$ is a continuous function on a closed interval $$[a,b]$$, then $$f$$ attains both an absolute minimum and absolute maximum on $$[a,b]$$. That is, for some value $$x_m$$ such that $$a \le x_m \le b$$, it follows that $$f(x_m) \le f(x)$$ for all $$x$$ in $$[a,b]$$. Similarly, there is a value $$x_M$$ in $$[a,b]$$ such that $$f(x_M) = M$$ for all $$x$$ in $$[a,b]$$. Letting $$m = f(x_m)$$ and $$M = f(x_M)$$, it follows that $$m \le f(x) \le M$$ for all $$x$$ in $$[a,b]$$.
The Extreme Value Theorem tells us that provided a function is
continuous, on any closed interval $$[a,b]$$ the function has to achieve
both an absolute minimum and an absolute maximum. Note, however, that
this result does not tell us where these extreme values occur, but
rather only that they must exist. As seen in the examples of
<<reference 3.3.Act1>>, it is apparent that the only possible locations for
relative extremes are either the endpoints of the interval or at a
critical value (the latter being where a relative miniumum or maximum
could occur, which is a potential location for an absolute extreme).
Thus, we have the following approach to finding the absolute maximum and
minimum of a continuous function $$f$$ on the interval $$[a,b]$$:
* find all critical values of $$f$$ that lie in the interval;
* evaluate the function $$f$$ at each critical value in the interval and at each endpoint of the interval;
* from among the noted function values, the smallest is the absolute minimum of $$f$$ on the interval, while the largest is the absolute maximum.
One of the big lessons in finding absolute extreme values is the
realization that the interval we choose has nearly the same impact on
the problem as the function under consideration. Consider, for instance,
the function pictured in <<figreference 3_3_Interval.svg>>.
<<figure 3_3_Interval.svg>>
In sequence, from left to right, as we see the interval under
consideration change from $$[-2,3]$$ to $$[-2,2]$$ to $$[-2,1]$$, we move from
having two critical values in the interval with the absolute minimum at
one critical value and the absolute maximum at the right endpoint, to
still having both critical numbers in the interval but then with the
absolute minimum and maximum at the two critical values, to finally
having just one critical value in the interval with the absolute maximum
at one critical value and the absolute minimum at one endpoint. It is
particularly essential to always remember to only consider the critical
values that lie within the interval.
!!Moving towards applications
In <<reference 3.4.AppliedOpt>>, we will focus almost exclusively on
applied optimization problems: problems where we seek to find the
absolute maximum or minimum value of a function that represents some
physical situation. We conclude this current section with an example of
one such problem because it highlights the role that a closed, bounded
domain can play in finding absolute extrema. In addition, these problems
often involve considerable preliminary work to develop the function
which is to be optimized, and this example demonstrates that process.
''Example 3.4'' A 20 cm piece of wire is cut into two pieces. One piece is used to form
a square and the other an equilateral triangle. How should the wire be
cut to maximize the total area enclosed by the square and triangle? to
minimize the area?
''Solution.'' We begin by constructing a picture that exemplifies the given situation.
The primary variable in the problem is where we decide to cut the wire.
We thus label that point $$x$$, and note that the remaining portion of the
wire then has length $$20-x$$
As shown in <<figreference 3_3_Ex1.svg>>, we see that the $$x$$ cm of the wire that
are used to form the equilateral triangle result in a triangle with
three sides of length $$\frac{x}{3}$$. For the remaining $$20-x$$ cm of
wire, the square that results will have each side of length
$$\frac{20-x}{4}$$.
At this point, we note that there are obvious restrictions on $$x$$: in
particular, $$0 \le x \le 20$$. In the extreme cases, all of the wire is
being used to make just one figure. For instance, if $$x = 0$$, then all
20 cm of wire are used to make a square that is $$5 \times 5$$.
Now, our overall goal is to find the absolute minimum and absolute
maximum areas that can be enclosed. We note that the area of the
triangle is
$$A_{\triangle} = \frac{1}{2} bh = \frac{1}{2} \cdot \frac{x}{3} \cdot \frac{x\sqrt{3}}{6}$$,
since the height of an equilateral triangle is $$\sqrt{3}$$ times half the
length of the base. Further, the area of the square is
$$A_{} = s^2 = \left( \frac{20-x}{4} \right)^2$$. Therefore, the total
area function is
$$A(x) = \frac{\sqrt{3}x^2}{36} + \left( \frac{20-x}{4} \right)^2.$$
Again, note that we are only considering this function on the restricted
domain $$[0,20]$$ and we seek its absolute minimum and absolute maximum.
Differentiating $$A(x)$$, we have
$$A'(x) = \frac{\sqrt{3}x}{18} + 2\left( \frac{20-x}{4} \right)\left( -\frac{1}{4} \right) = \frac{\sqrt{3}}{18} x + \frac{1}{8}x - \frac{5}{2}.$$
Setting $$A'(x) = 0$$, it follows that
$$x = \frac{180}{4\sqrt{3}+9} \approx 11.3007$$ is the only critical value
of $$A$$, and we note that this lies within the interval $$[0,20]$$.
Evaluating $$A$$ at the critical value and endpoints, we see that
* $$ A\left(\frac{180}{4\sqrt{3}+9}\right)$$ = $$\frac{\sqrt{3}(\frac{180}{4\sqrt{3}+9})^2}{4} + \left( \frac{20-\frac{180}{4\sqrt{3}+9}}{4} \right)^2 \approx 10.8741$$
* $$ A(0) = 25$$
* $$ A(20) = \frac{\sqrt{3}}{36}(400) = \frac{100}{9} \sqrt{3} \approx 19.2450$$
Thus, the absolute minimum occurs when $$x \approx 11.3007$$ and results
in the minimum area of approximately $$10.8741$$ square centimeters, while
the absolute maximum occurs when we invest all of the wire in the square
(and none in the triangle), resulting in 25 square centimeters of area.
These results are confirmed by a plot of $$y = A(x)$$ on the interval
$$[0,20]$$, as shown in <<figreference 3_3_Ex1Plot.svg>>.
<<figure 3_3_Ex1Plot.svg>>
The approaches shown in Example [Ex:3.3.1] and experienced in
Activity [A:3.3.3] include standard steps that we undertake in almost
every applied optimization problem: we draw a picture to demonstrate the
situation, introduce one or more variables to represent quantities that
are changing, work to find a function that models the quantity to be
optimized, and then decide an appropriate domain for that function. Once
that work is done, we are in the familiar situation of finding the
absolute minimum and maximum of a function over a particular domain, at
which time we apply the calculus ideas that we have been studying to
this point in Chapter [C:3].
!!Summary
---
In this section, we encountered the following important ideas:
---
* To find relative extreme values of a function, we normally use a first derivative sign chart and classify all of the function’s critical values. If instead we are interested in absolute extreme values, we first decide whether we are considering the entire domain of the function or a particular interval.
* In the case of finding global extremes over the function’s entire domain, we again use a first or second derivative sign chart in an effort to make overall conclusions about whether or not the function can have a absolute maximum or minimum.
* If we are working to find absolute extremes on a restricted interval, then we first identify all critical values of the function that lie in the interval.
* For a continuous function on a closed, bounded interval, the only possible points at which absolute extreme values occur are the critical values and the endpoints. Thus, to find said absolute extremes, we simply evaluate the function at each endpoint and each critical value in the interval, and then we compare the results to decide which is largest (the absolute maximum) and which is smallest (the absolute minimum).
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let $$ f(x) = 2 + \frac{3}{1+(x+1)^2}$$.
''a)'' Determine all of the critical values of $$f$$.
''b)'' Construct a first derivative sign chart for $$f$$ and thus determine all
intervals on which $$f$$ is increasing or decreasing.
''c)'' Does $$f$$ have a global maximum? If so, why, and what is its value and
where is the maximum attained? If not, explain why.
''d)'' Determine $$\lim_{x \to \infty} f(x)$$ and
$$\lim_{x \to -\infty} f(x)$$.
''e)'' Explain why $$f(x) > 2$$ for every value of $$x$$.
''f)'' Does $$f$$ have a global minimum? If so, why, and what is its value and
where is the minimum attained? If not, explain why.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can costs $0.015 per square inch and the material for the lids costs $0.027 per square inch. Suppose that we desire to construct a can that has a volume of 16 cubic inches. What dimensions minimize the cost of the can?
''a)'' Draw a picture of the can and label its dimensions with appropriate
variables.
''b)'' Use your variables to determine expressions for the volume, surface
area, and cost of the can.
''c)'' Determine the total cost function as a function of a single variable.
What is the domain on which you should consider this function?
''d)'' Find the absolute minimum cost and the dimensions that produce this
value.
Note that both the radius and the height of the can are variable.
Remember that volume is the area of the base times the height, while
surface are can be thought of in terms of the area of the two lids, plus
the area of the “side” of the can.
Use the fact that $$V = 16$$ to write one of the variables in terms of the
other to get the cost as a function of a single variable.
Differentiate the total cost function and find its critical value(s)
first.
Note that both the radius and the height of the can are variable.
Remember that volume is the area of the base times the height, while
surface are can be thought of in terms of the area of the two lids, plus
the area of the “side” of the can. The side of the can has the shape of
a rectangle (think about cutting the cylinder vertically and unrollling
it). The cost of the can is directly related to surface area. For
instance, the cost of the lids is $$2 \cdot 0.027 \cdot$$(area of one
lid).
Use the fact that $$V = 16$$ to write one of the variables in terms of the
other to get the cost as a function of a single variable.
Differentiate the total cost function and find its critical value(s)
first. Use either the first or second derivative test to justify your
conclusion.
We let $$r$$ be the radius of the base of the cylindrical can and $$h$$ be
its height.
Volume is the area of the base times the height, so $$V = \pi r^2 h$$.
Surface area is the area of the lids plus the area of the side, the
latter of which is a rectangle with height $$h$$ and width the perimeter
of the base. Hence, $$S = 2 \pi r^2 + 2 \pi r h$$. Finally, the total cost
is the cost of the lids plus the cost of the sides, which is
$$C = 2 \pi r^2 \cdot 0.027 + 2 \pi r h \cdot 0.015.$$
Because the volume is fixed at 16 cubic inches, we know that
$$16 = \pi r^2 h$$. Solving for $$h$$, $$h = \frac{16}{\pi r^2}$$.
Substituting this expression for $$h$$ in the formula for total cost, we
now have that
$$C = 2 \pi r^2 \cdot 0.027 + 2 \pi r \left( \frac{16}{\pi r^2} \right) \cdot 0.015 = 0.054 \pi r^2 + 0.48 \frac{1}{r} .$$
With $$C(r) = 0.054 \pi r^2 + 0.48 \frac{1}{r}$$, we note that the only
constraint on $$r$$ is that $$r > 0$$, hence this is the domain on which we
seek to minimize $$C$$.
Noting that $$C'(r) = 0.108 \pi r - 0.48 \frac{1}{r^2}$$, we set
$$C'(r) = 0$$ and solve for $$r$$ to find that
$$0.108 \pi r = \frac{0.48}{r^2},$$
so that $$r^3 = \frac{0.48}{0.108 \pi} \approx 1.41471$$, from which it
follows that $$r = \sqrt[3]{ \frac{0.48}{0.108 \pi} } \approx 1.12259$$ is
the only critical value of $$C$$.
At this point, we can use either the first or second derivative test to
justify that $$C$$ has an absolute minimum at $$r = 1.12259$$. We choose to
use the second derivative test; note that
$$C''(r) = 0.108 \pi + 0.96 \frac{1}{r^3}$$, which is always positive for
$$r > 0$$, hence $$C$$ is always concave up on the relevant domain
($$r > 0$$), which makes
$$r = \sqrt[3]{ \frac{0.48}{0.108 \pi} } \approx 1.12259$$ where the
absolute minimum of $$C$$ occurs. In addition, we note that since
$$h = \frac{16}{\pi r^2}$$, the corresponding $$h$$ value is
$$h \approx 4.041337$$, and the overall minimum cost is
$$C(1.12259) \approx 0.64137$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A hiker starting at a point $$P$$ on a straight road walks east towards point $$Q$$, which is on the road and 3 kilometers from point $$P$$. Two kilometers due north of point $$Q$$ is a cabin. The hiker will walk down the road for a while, at a pace of 8 kilometers per hour. At some point $$Z$$ between $$P$$ and $$Q$$, the hiker leaves the road and makes a straight line towards the cabin through the woods, hiking at a pace of 3 kph, as pictured in <<figreference 3_4_Act2.svg>>. In order to minimize the time to go from $$P$$ to $$Z$$ to the cabin, where should the hiker turn into the forest?
Let $$x$$ be the distance from $$Z$$ to $$Q$$. What is then the distance from
$$P$$ to $$Z$$ in terms of $$x$$? How about the distance from $$Z$$ to the
cabin? How does time depend on distance and rate?
Let $$x$$ be the distance from $$Z$$ to $$Q$$. What is then the distance from
$$P$$ to $$Z$$ in terms of $$x$$? How about the distance from $$Z$$ to the
cabin? Remember that since distance equals rate times time, time is
given by distance divided by rate. Find an expression for the total
time, $$T$$, as a function of $$x$$.
We begin by letting $$x$$ be the distance from $$Z$$ to $$Q$$. Since it is 3
km from $$P$$ to $$Q$$, the distance from $$P$$ to $$Z$$ is $$3-x$$. Further, by
the Pythagorean Theorem, the distance from $$Z$$ to the cabin is
$$\sqrt{4+x^2}$$.
Next, we want to determine the hiker’s time as a function of $$x$$.
Because distance equals rate times time, time is thus distance divided
by rate. Along the road, the hiker’s distance is $$3-x$$ km and her rate
is $$8$$ km/hr, thus her time on the road, $$T_r$$ is
$$T_r = \frac{3-x}{8}.$$
Once she enters the woods, her rate drops to $$3$$ km/hr and travels a
distance of $$\sqrt{4+x^2}$$ km, making her time in the woods, $$T_w$$,
given by $$T_w = \frac{\sqrt{4+x^2}}{3}.$$
Thus, the hiker’s total time is given by the function
$$T(x) = \frac{3-x}{8} + \frac{\sqrt{4+x^2}}{3}.$$
Because the only values of $$x$$ that make sense to use are
$$0 \le x \le 3$$ (using either negative values or values greater than 3
clearly add unnecessary time to the trip), we use this domain for $$T$$
and now seek the absolute minimum of $$T$$ on $$[0,3]$$. First, we find that
$$T'(x) = -\frac{1}{8} + \frac{1}{3} \cdot \frac{1}{2} (4+x^2)^{-1/2} (2x) = -\frac{1}{8} + \frac{x}{3\sqrt{4+x^2}}.$$
Setting $$T'(x) = 0$$ and solving for $$x$$, we have
$$\frac{x}{3\sqrt{4+x^2}} = \frac{1}{8}$$, so $$8x = 3\sqrt{4+x^2}$$.
Squaring both sides, $$64x^2 = 9(4+x^2) = 36 + 9x^2$$. Hence,
$$55x^2 = 36$$, so $$x = \sqrt{\frac{36}{55}} \approx 0.80904$$. (We don’t
consider the critical value $$x = -\sqrt{\frac{36}{55}}$$ because this
doesn’t lie in the relevant domain of $$T$$.)
Finally, we evaluate $$T$$ at the only critical value in the interval and
at the interval’s endpoints. Doing so, we find
$$T(0) = \frac{3}{8} + \frac{2}{3} \approx 1.0417$$,
$$T(3) = \frac{\sqrt{13}{3}} \approx 1.20185$$, and
$$T(\sqrt{\frac{36}{55}}) = \frac{3}{8} + \frac{\sqrt{55}}{12} \approx 0.99302$$,
and thus the absolute minimum time the hiker can achieve is $$0.99302$$
hours, which is attained by hiking about 2.2 km from $$P$$ to $$Q$$ and then
turning into the woods for the remainder of the trip.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the region in the $$x$$-$$y$$ plane that is bounded by the $$x$$-axis
and the function $$f(x) = 25-x^2$$. Construct a rectangle whose base lies
on the $$x$$-axis and is centered at the origin, and whose sides extend
vertically until they intersect the curve $$y = 25-x^2$$. Which such
rectangle has the maximum possible area? Which such rectangle has the
greatest perimeter? Which has the greatest combined perimeter and area?
(Challenge: answer the same questions in terms of positive parameters
$$a$$ and $$b$$ for the function $$f(x) = b-ax^2$$.)
Let $$x$$ represent half the width of the rectangle’s base. How does the
rectangle’s height depend on $$x$$?
Let $$x$$ represent half the width of the rectangle’s base. How does the
rectangle’s height depend on $$x$$? Don’t forget that every point that
lies on the parabola is of the form $$(x,25-x^2)$$.
Letting $$x$$ represent half the width of the rectangle’s base, it follows
that the rectangle’s height is $$25-x^2$$. Hence the area of the rectangle
is $$A(x) = 2x(25-x^2) = 50x - 2x^3.$$
Based on the region, the only possible values of $$x$$ are for
$$0 \le x \le 5$$; moreover, it is evident that for either $$x = 0$$ or
$$x = 5$$, the area of the corresponding rectangle is zero, which can’t be
where the maximum occurs. Differentiating, $$A'(x) = 50 - 6x^2,$$
so we find the critical value of $$A$$ by solving $$6x^2 = 50$$, which
yields $$x = \frac{5}{\sqrt{3}} \approx 2.8868$$, which results in the
maximum possible area of
$$A(\frac{5}{\sqrt{3}}) = \frac{500}{9}\sqrt{3} \approx 96.225$$
To maximize perimeter, we note that the rectangle’s perimeter is
$$P(x) = 2x + (25-x^2) + 2x + (25 - x^2) = -2x^2 + 4x + 50.$$
It is straightforward to show that the only critical number of the
quadratic function $$P$$ occurs when $$x = 1$$ and that the corresponding
absolute maximum value is $$P(1) = 52$$.
Finally, to consider combined area and perimeter, examine the function
$$f(x) = A(x) + P(x)$$ on the interval $$0 \le x \le 5.$$ You should find
that the only relevant critical number is $$x = \frac{\sqrt{82}-1}{3}$$
and that the absolute maximum of $$f$$ occurs at that value.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A trough is being constructed by bending a $$4 \times 24$$ (measured in
feet) rectangular piece of sheet metal. Two symmetric folds 2 feet apart
will be made parallel to the longest side of the rectangle so that the
trough has cross-sections in the shape of a trapezoid, as pictured in
<<figreference 3_4_Act4.svg>>. At what angle should the folds be made to produce
the trough of maximum volume?
Drop altitudes from the top of the trough to the base of length 2. In
the two triangles that are formed, what are the lengths of the legs in
terms of $$\theta$$?
Drop altitudes from the top of the trough to the base of length 2. In
the two triangles that are formed, what are the lengths of the legs in
terms of $$\theta$$? What is the overall area in terms of $$\theta$$? (Note
that since the length of the trough is constant, the volume will be
maximized by maximizing cross-sectional area.) Finally, after you
differentiate $$A(\theta)$$, use the identity
$$\sin^2(\theta) = 1 - \cos^2(\theta)$$ to write $$A'(\theta)$$ solely in
terms of the cosine function and note that the result is a quadratic
equation in $$\cos(theta)$$.
Once we choose the angle $$\theta$$, the two right triangles in the
trapezoid are determined, and each has a horizontal leg of length
$$\cos(\theta)$$ and a vertical leg of length $$\sin(\theta)$$. Thus, the
sum of the areas of the two triangles is $$\sin(\theta) \cos(\theta)$$,
and the area of the rectangle between them is $$2\sin(theta)$$. Hence, the
area of the trapezoidal cross-section is
$$A(\theta) = \sin(\theta) \cos(\theta) + 2 \sin(\theta)$$. Because the
length of the trough is constant, the trough’s volume will be maximized
by maximizing cross-sectional area. Note, too, that the domain for
$$\theta$$ is $$0 \le \theta \le \frac{\pi}{2}$$.
Differentiating, we find that
$$A'(\theta) = \sin(\theta) (-\sin(\theta)) + \cos(\theta) \cos(\theta) + 2 \cos(\theta) = -\sin^2(\theta) + \cos^2(\theta) + 2 \cos(\theta).$$
Using the identity $$\sin^2(\theta) = 1 - \cos^2(\theta)$$, it follows
that
$$A'(\theta) = \cos^2(\theta) - 1 + \cos^2(\theta) + 2 \cos(\theta) = 2\cos^2(\theta) + 2 \cos(\theta) - 1.$$
This most recent equation is quadratic in $$\cos(\theta)$$, so letting
$$u = \cos(\theta)$$, we can start to solve the equation $$A'(\theta) = 0$$
by solving $$2u^2 + 2u - 1 = 0$$. Doing so, we find that
$$u = \frac{-1 \pm \sqrt{3}}{2} \approx 0.3660254, -1.3660254,$$
so only $$u = \frac{-1 + \sqrt{3}}{2}$$ will be a potential value of the
cosine function from an angle that lies in the interval
$$[0,\frac{\pi}{2}]$$. Now, recalling that $$\cos(\theta) = u$$, to find the
critical value $$\theta$$, we solve
$$\cos(\theta) = \frac{-1 + \sqrt{3}}{2}$$, which implies
$$\theta = \arccos(\frac{-1 + \sqrt{3}}{2}) \approx 1.19606$$ radians, or
$$\theta \approx 68.5292^\circ$$.
Finally, to confirm that $$A$$ has an absolute maximum at
$$\theta = \arccos(\frac{-1 + \sqrt{3}}{2}) \approx 1.19606$$, we consider
this value as well as the endpoints of $$[0, \frac{\pi}{2}]$$, and
evaluate $$A$$ to find that $$A(0) = 0$$, $$A(\frac{\pi}{2}) = 2$$, and
$$A(1.19606) \approx 2.2018$$, which is the absolute maximum possible
cross-sectional area.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A rectangular box with a square bottom and closed top is to be made from
two materials. The material for the side costs $1.50 per square foot
and the material for the bottom costs $3.00 per square foot. If you are
willing to spend $15 on the box, what is the largest volume it can
contain? Justify your answer completely using calculus.
''2.'' A farmer wants to start raising cows, horses, goats, and sheep, and
desires to have a rectangular pasture for the animals to graze in.
However, no two different kinds of animals can graze together. In order
to minimize the amount of fencing she will need, she has decided to
enclose a large rectangular area and then divide it into four equally
sized pens, or grazing areas. She has decided to purchase 7500 ft of
fencing. What is the maximum possible area that each of the four pens
will enclose?
''3.'' Two vertical towers of heights 60 ft and 80 ft stand on level ground,
with their bases 100 ft apart. A cable that is stretched from the top of
one pole to some point on the ground between the poles, and then to the
top of the other pole. What is the minimum possible length of cable
required? Justify your answer completely using calculus.
''4.'' A company is designing propane tanks that are cylindrical with
hemispherical ends. Assume that the company wants tanks that will hold
1000 cubic feet of gas, and that the ends are more expensive to make,
costing $5 per square foot, while the cylindrical barrel between the
ends costs $2 per square foot. Use calculus to determine the minimum
cost to construct such a tank.
In a setting where a situation is described for which optimal parameters
are sought, how do we develop a function that models the situation and
use calculus to find the desired maximum or minimum?
Near the conclusion of <<reference 3.3.Optimization>>, we considered two
examples of optimization problems where determining the function to be
optimized was part of a broader question. In ''Example 3.4'', we
sought to use a single piece of wire to build two geometric figures (an
equilateral triangle and square) and to understand how various choices
for how to cut the wire led to different values of the area enclosed.
One of our conclusions was that in order to maximize the total combined
area enclosed by the triangle and square, all of the wire must be used
to make a square. In the subsequent <<reference 3.3.Act3>>, we investigated
how the volume of a box constructed from a piece of cardboard by
removing squares from each corner and folding up the sides depends on
the size of the squares removed.
Both of these problems exemplify situations where there is not a
function explicitly provided to optimize. Rather, we first worked to
understand the given information in the problem, drawing a figure and
introducing variables, and then sought to develop a formula for a
function that models the quantity (area or volume, in the two examples,
respectively) to be optimized. Once the function was established, we
then considered what domain was appropriate on which to pursue the
desired absolute minimum or maximum (or both). At this point in the
problem, we are finally ready to apply the ideas of calculus to
determine and justify the absolute minimum or maximum. Thus, what is
primarily different about problems of this type is that the
problem-solver must do considerable work to introduce variables and
develop the correct function and domain to represent the described
situation.
Throughout what follows in the current section, the primary emphasis is
on the reader solving problems. Initially, some substantial guidance is
provided, with the problems progressing to require greater independence
as we move along.
!!More applied optimization problems
Many of the steps in <<reference 3.4.PA1>> are ones that we will
execute in any applied optimization problem. We briefly summarize those
here to provide an overview of our approach in subsequent questions.
* Draw a picture and introduce variables. It is essential to first understand what quantities are allowed to vary in the problem and then to represent those values with variables. Constructing a figure with the variables labeled is almost always an essential first step. Sometimes drawing several diagrams can be especially helpful to get a sense of the situation. A nice example of this can be seen at http://gvsu.edu/s/99, where the choice of where to bend a piece of wire into the shape of a rectangle determines both the rectangle’s shape and area.
* Identify the quantity to be optimized as well as any key relationships among the variable quantities. Essentially this step involves writing equations that involve the variables that have been introduced: one to represent the quantity whose minimum or maximum is sought, and possibly others that show how multiple variables in the problem may be interrelated.
* Determine a function of a single variable that models the quantity to be optimized; this may involve using other relationships among variables to eliminate one or more variables in the function formula. For example, in <<reference 3.4.PA1>>, we initially found that $$V = x^2 y$$, but then the additional relationship that $$4x + y = 108$$ (girth plus length equals 108 inches) allows us to relate $$x$$ and $$y$$ and thus observe equivalently that $$y = 108-4x$$. Substituting for $$y$$ in the volume equation yields $$V(x) = x^2(108-4x)$$, and thus we have written the volume as a function of the single variable $$x$$.
* Decide the domain on which to consider the function being optimized. Often the physical constraints of the problem will limit the possible values that the independent variable can take on. Thinking back to the diagram describing the overall situation and any relationships among variables in the problem often helps identify the smallest and largest values of the input variable.
* Use calculus to identify the absolute maximum and/or minimum of the quantity being optimized. This always involves finding the critical values of the function first. Then, depending on the domain, we either construct a first derivative sign chart (for an open or unbounded interval) or evaluate the function at the endpoints and critical values (for a closed, bounded interval), using ideas we’ve studied so far in <<reference [[Chapter 3]]>>.
* Finally, we make certain we have answered the question: does the question seek the absolute maximum of a quantity, or the values of the variables that produce the maximum? That is, finding the absolute maximum volume of a parcel is different from finding the dimensions of the parcel that produce the maximum.
Familiarity with common geometric formulas is particularly helpful in
problems like the one in <<reference 3.4.Act1>>. Sometimes those involve
perimeter, area, volume, or surface area. At other times, the
constraints of a problem introduce right triangles (where the
Pythagorean Theorem applies) or other functions whose formulas provide
relationships among variables present.
In more geometric problems, we often use curves or functions to provide
natural constraints. For instance, we could investigate which isosceles
triangle that circumscribes a unit circle has the smallest area, which
you can explore for yourself at
http://gvsu.edu/s/9b. Or similarly, for a
region bounded by a parabola, we might seek the rectangle of largest
area that fits beneath the curve, as shown at
http://gvsu.edu/s/9c. The next activity is
similar to the latter problem.
!!Summary
---
In this section, we encountered the following important ideas:
---
* While there is no single algorithm that works in every situation where optimization is used, in most of the problems we consider, the following steps are helpful: draw a picture and introduce variables; identify the quantity to be optimized and find relationships among the variables; determine a function of a single variable that models the quantity to be optimized; decide the domain on which to consider the function being optimized; use calculus to identify the absolute maximum and/or minimum of the quantity being optimized.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
According to U.S. postal regulations, the girth plus the length of a
parcel sent by mail may not exceed 108 inches, where by “girth” we mean
the perimeter of the smallest end. What is the largest possible volume
of a rectangular parcel with a square end that can be sent by mail? What
are the dimensions of the package of largest volume?
''a)'' Let $$x$$ represent the length of one side of the square end and $$y$$ the
length of the longer side. Label these quantities appropriately on the
image shown in Figure [F:3.4.PA1].
''b)'' What is the quantity to be optimized in this problem? Find a formula for
this quantity in terms of $$x$$ and $$y$$.
''c)'' The problem statement tells us that the parcel’s girth plus length may
not exceed 108 inches. In order to maximize volume, we assume that we
will actually need the girth plus length to equal 108 inches. What
equation does this produce involving $$x$$ and $$y$$?
''d)'' Solve the equation you found in (c) for one of $$x$$ or $$y$$ (whichever is
easier).
''e)'' Now use your work in (b) and (d) to determine a formula for the volume
of the parcel so that this formula is a function of a single variable.
''f)'' Over what domain should we consider this function? Note that both $$x$$
and $$y$$ must be positive; how does the constraint that girth plus length
is 108 inches produce intervals of possible values for $$x$$ and $$y$$?
''g)'' Find the absolute maximum of the volume of the parcel on the domain you
established in (f) and hence also determine the dimensions of the box of
greatest volume. Justify that you’ve found the maximum using calculus.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant instantaneous rate of 4 cubic feet per minute.
''a)'' Draw a picture of the conical tank, including a sketch of the water
level at a point in time when the tank is not yet full. Introduce
variables that measure the radius of the water’s surface and the water’s
depth in the tank, and label them on your figure.
''b)'' Say that $$r$$ is the radius and $$h$$ the depth of the water at a given
time, $$t$$. What equation relates the radius and height of the water, and
why?
''c)'' Determine an equation that relates the volume of water in the tank at
time $$t$$ to the depth $$h$$ of the water at that time.
''d)'' Through differentiation, find an equation that relates the instantaneous
rate of change of water volume with respect to time to the instantaneous
rate of change of water depth at time $$t$$.
''e)'' Find the instantaneous rate at which the water level is rising when the
water in the tank is 3 feet deep.
''e)'' When is the water rising most rapidly: at $$h = 3$$, $$h = 4$$, or $$h = 5$$?
Think about similar triangles.
Recall that the volume of a cone is $$V = \frac{1}{3} \pi r^2 h$$.
Remember to differentiate implicitly with respect to $$t$$.
Use $$h = 3$$ and the fact that the value of $$\frac{dV}{dt}$$ is given.
Consider [`http://gvsu.edu/s/9p`](http://gvsu.edu/s/9p). Why does this
phenomenon occur?
Think about similar triangles and how the ratio of $$r$$ to $$h$$ must be
constant.
Recall that the volume of a cone is $$V = \frac{1}{3} \pi r^2 h$$, and use
the relationship established in (b) to write $$r$$ in terms of $$h$$.
Remember to differentiate implicitly with respect to $$t$$ and use the
chain rule appropriately.
Use $$h = 3$$ and the fact that the value of $$\frac{dV}{dt}$$ is given.
Solve for $$\frac{dh}{dt}$$.
Consider [`http://gvsu.edu/s/9p`](http://gvsu.edu/s/9p). Why does this
phenomenon occur?
Letting $$r$$ represent the water’s radius at time $$t$$ and $$h$$ the water’s
depth, we see the following situation:
![image](figures/3_5_Act1Soln.eps)
Observe that the right triangle with legs of length $$h$$ and $$r$$ is
similar to the right triangle with legs of length $$8$$ and $$6$$,
respectively, based on how the water assumes the shape of the tank, and
thus $$\frac{r}{h} = \frac{6}{8}$$, so that $$r = \frac{3}{4}h$$.
Since the water in the tank always takes the shape of a circular cone,
the volume of water in the tank at time $$t$$ is given by
$$V = \frac{1}{3}\pi r^2 h$$. Because we have established that
$$r = \frac{3}{4}h$$, it follows that
$$V = \frac{1}{3}\pi \left( \frac{3}{4}h \right)^2 h = \frac{3}{16} \pi h^3.$$
Differentiating with respect to $$t$$, we now find
$$\frac{dV}{dt} = \frac{1}{16} \pi h^2 \frac{dh}{dt},$$
which relates the rates of change of $$V$$ and $$h$$.
It is given in the problem setting that water is entering the tank at a
rate of 4 cubic feet per minute, hence $$\frac{dV}{dt} = 4$$, and we are
interested in the rate of change of the water’s depth when $$h = 3$$.
Substituting these values into the equation that relates $$\frac{dV}{dt}$$
and $$\frac{dh}{dt}$$, we find that
$$4 = \frac{1}{16} \pi 3^2 \left. \frac{dh}{dt} \right|_{h=3},$$
so that
$$\left. \frac{dh}{dt} \right|_{h=3} = \frac{64}{9\pi} \approx 2.2635$$
feet per minute.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A television camera is positioned 4000 feet from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. In addition, the auto-focus of the camera has to take into account the increasing distance between the camera and the rocket. We assume that the rocket rises vertically. (A similar problem is discussed and pictured dynamically at http://gvsu.edu/s/9t. Exploring the applet at the link will be helpful to you in answering the questions that follow.)
''a)'' Draw a figure that summarizes the given situation. What parts of the
picture are changing? What parts are constant? Introduce appropriate
variables to represent the quantities that are changing.
''b)'' Find an equation that relates the camera’s angle of elevation to the
height of the rocket, and then find an equation that relates the
instantaneous rate of change of the camera’s elevation angle to the
instantaneous rate of change of the rocket’s height (where all rates of
change are with respect to time).
''c)'' Find an equation that relates the distance from the camera to the rocket
to the rocket’s height, as well as an equation that relates the
instantaneous rate of change of distance from the camera to the rocket
to the instantaneous rate of change of the rocket’s height (where all
rates of change are with respect to time).
''d)'' Suppose that the rocket’s speed is 600 ft/sec at the instant it has
risen 3000 feet. How fast is the distance from the television camera to
the rocket changing at that moment? If the camera is following the
rocket, how fast is the camera’s angle of elevation changing at that
same moment?
''e)'' If from an elevation of 3000 feet onward the rocket continues to rise at
600 feet/sec, will the rate of change of distance with respect to time
be greater when the elevation is 4000 feet than it was at 3000 feet, or
less? Why?
Let $$\theta$$ represent the camera angle and note that one leg of the
right triangle is constant. Which two are changing?
Use the facts that $$h = 3000$$ and $$\frac{dh}{dt} = 600$$ in your
preceding work.
You can answer this question intuitively or by changing the value of $$h$$
in your work in (d).
Let $$\theta$$ represent the camera angle and note that one leg of the
right triangle is constant. Note that both the hypotenuse and the
vertical leg of the triangle are changing as the rocket rises.
Think trigonometrically; which trigonometric function will only use the
rocket’s height along with the constant value of 4000?
Use the Pythagorean Theorem to relate the three sides of the right
triangle.
Use the facts that $$h = 3000$$ and $$\frac{dh}{dt} = 600$$ in your
preceding work. Note that these only apply after you have completed the
work of differentiation, because $$h$$ is changing, not constant at 3000
feet.
You can answer this question intuitively or by changing the value of $$h$$
in your work in (d).
Letting $$\theta$$ be the camera’s elevation angle, $$h$$ the rocket’s
height, and $$z$$ the distance from the camera to the rocket, we have the
following situation at a given point in time:
![image](figures/3_5_Act2Soln.eps)
To relate $$\theta$$ and $$h$$, observe that the tangent function is a good
choice, since $$\tan(\theta) = \frac{h}{4000}$$, so that
$$h = 4000 \tan(\theta).$$
Differentiating implicitly with respect to $$t$$, we find that
$$\frac{dh}{dt} = 4000 \sec^2 (\theta) \frac{d\theta}{dt}.$$
To relate $$z$$ and $$h$$, the Pythagorean Theorem is natural to consider.
By this famous result, $$h^2 + 4000^2 = z^2.$$
Differentiating both sides implicitly with respect to $$t$$, it follows
$$2h \frac{dh}{dt} = 2z \frac{dz}{dt},$$
and thus $$h \frac{dh}{dt} = z \frac{dz}{dt}.$$
Using the given fact that the rocket’s speed is 600 ft/sec at the
instant it has risen 3000 feet, we know that
$$\left. \frac{dh}{dt} \right|_{h=3000} = 600$$. Note further in the
triangle that when $$h = 3000$$, it follows $$z = 5000$$, since the base leg
of the triangle is constant at 4000, by using the Pythagorean Theorem.
Substituting this information from the instant $$h = 3000$$ into the
equation that relates the rates of change of $$z$$ and $$h$$ found in (c),
we find that
$$2 \cdot 3000 \cdot 600 = 2 \cdot 5000 \cdot \left. \frac{dz}{dt} \right|_{h=3000}.$$
Solving for $$\left. \frac{dz}{dt} \right|_{h=3000}$$ we have
$$\left. \frac{dz}{dt} \right|_{h=3000} = \frac{1800}{5} = 360 \ {feet/sec}.$$
To answer the question about how fast the camera angle is changing, we
use the same information but now in the equation we found in (b) that
relates the rates of change of $$\theta$$ and $$h$$:
$$\frac{dh}{dt} = 4000 \sec^2 (\theta) \frac{d\theta}{dt}.$$
Observe that when $$h = 3000$$, in the 3000-4000-5000 right triangle, it
follows that $$\cos(\theta) = \frac{4}{5}$$, so
$$\sec(\theta) = \frac{5}{4}$$. Thus, using the instantaneous information,
$$600 = 4000 \cdot \frac{25}{16} \left. \frac{d\theta}{dt} \right|_{h=3000},$$
and thus
$$\left. \frac{d\theta}{dt} \right|_{h=3000} = \frac{6 \cdot 16}{40 \cdot 25} = \frac{12}{125},$$
which is measured in radians per second.
Recalling that $$2h \frac{dh}{dt} = 2z \frac{dz}{dt}$$, it follows that
$$\frac{dz}{dt} = \frac{h}{z} \frac{dh}{dt}.$$
Using this equation when $$h = 3000$$ and $$\frac{dh}{dt} = 600$$ led us to
conclude that
$$\left. \frac{dz}{dt} \right|_{h=3000} = \frac{3}{5} \cdot 600 = 360 \ {feet/sec}$$.
If we instead use $$h = 4000$$, it follows that $$z = 4000\sqrt{2}$$, so
that
$$\left. \frac{dz}{dt} \right|_{h=4000} = \frac{4}{4\sqrt{2}} \cdot 600 \approx 424.26 \ {feet/sec}.$$
Indeed, $$\frac{dz}{dt}$$ is an increasing function of $$h$$, provided that
$$\frac{dh}{dt}$$ is constant, because we can write $$h^2 + 4000^2 = z^2$$,
so $$z = \sqrt{h^2 + 4000^2}$$, making
$$\frac{dz}{dt} = \frac{h}{\sqrt{h^2 + 4000^2}} \frac{dh}{dt} = \frac{h}{\sqrt{h^2 + 4000^2}} 600.$$
It is straightforward to verify that $$\frac{h}{\sqrt{h^2 + 4000^2}}$$ is
an increasing function of $$h$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
As pictured in the applet at http://gvsu.edu/s/9q, a skateboarder who is 6 feet tall rides under a 15 foot tall lamppost at a constant rate of 3 feet per second. We are interested in understanding how fast his shadow is changing at various points in time.
''a)'' Draw an appropriate right triangle that represents a snapshot in time of
the skateboarder, lamppost, and his shadow. Let $$x$$ denote the
horizontal distance from the base of the lamppost to the skateboarder
and $$s$$ represent the length of his shadow. Label these quantities, as
well as the skateboarder’s height and the lamppost’s height on the
diagram.
''b)'' Observe that the skateboarder and the lamppost represent parallel line
segments in the diagram, and thus similar triangles are present. Use
similar triangles to establish an equation that relates $$x$$ and $$s$$.
''c)'' Use your work in (b) to find an equation that relates $$\frac{dx}{dt}$$
and $$\frac{ds}{dt}$$.
''d)'' At what rate is the length of the skateboarder’s shadow increasing at
the instant the skateboarder is 8 feet from the lamppost?
''e)'' As the skateboarder’s distance from the lamppost increases, is his
shadow’s length increasing at an increasing rate, increasing at a
decreasing rate, or increasing at a constant rate?
''f)'' Which is moving more rapidly: the skateboarder or the tip of his shadow?
Explain, and justify your answer.
Note that the lengths of the legs of the right triangle will be $$15$$ for
the vertical one and $$x + s$$ for the horizontal one.
The small triangle formed by the skateboarder and his shadow, with legs
$$6$$ and $$s$$ is similar to the large triangle that has the lamppost as
one of its legs.
Simplify the equation in (b) as much as possible before differentiating
implicitly with respect to $$t$$.
Find $$\left. \frac{ds}{dt} \right|_{x=8}$$.
Does the equation that relates $$\frac{dx}{dt}$$ and $$\frac{ds}{dt}$$
involve $$x$$? Is $$\frac{dx}{dt}$$ changing or constant?
Let $$y$$ represent the location of the tip of the shadow, so that
$$y = x + s$$.
Note that the lengths of the legs of the overall right triangle will be
$$15$$ for the vertical one and $$x + s$$ for the horizontal one, with a
smaller right triangle with legs of length 6 and $$s$$.
The small triangle formed by the skateboarder and his shadow, with legs
$$6$$ and $$s$$ is similar to the large triangle that has legs of length
$$15$$ and $$x + s$$. Remember that the ratios of the lengths of legs of
similar triangles must be equal.
Simplify the equation in (b) as much as possible before differentiating
implicitly with respect to $$t$$.
Find $$\left. \frac{ds}{dt} \right|_{x=8}$$. Your answer should not depend
on the value of $$x$$.
Does the equation that relates $$\frac{dx}{dt}$$ and $$\frac{ds}{dt}$$
involve $$x$$? Is $$\frac{dx}{dt}$$ changing or constant?
Let $$y$$ represent the location of the tip of the shadow, so that
$$y = x + s$$. Observe that you can then write $$\frac{dy}{dt}$$ in terms of
$$\frac{dx}{dt}$$ and $$\frac{ds}{dt}$$.
The given information leads us to construct the following diagram:
![image](figures/3_5_Act3Soln.eps)
The small triangle formed by the skateboarder and his shadow, with legs
of length $$6$$ and $$s$$ is similar to the large triangle that has the
lamppost as one of its legs (length 15) and horizontal leg of length
$$x + s$$. Because the ratios of the lengths of the legs of these two
triangles is equal, we have $$\frac{s}{6} = \frac{s+x}{15}.$$
Simplifying, we have $$15s = 6s + 6x$$, so that $$9s = 2x$$, or most simply,
$$3s = 2x$$.
Differentiating with respect to $$t$$, it is immediate that
$$3 \frac{ds}{dt} = 2\frac{dx}{dt}$$.
Since $$\frac{ds}{dt} = \frac{2}{3} \frac{dx}{dt}$$, and
$$\frac{dx}{dt} = 3$$, it follows $$\frac{ds}{dt} = 2$$ for every value of
$$t$$ (and $$x$$). Thus, $$\left. \frac{ds}{dt} \right|_{x=8} = 2$$ feet per
second.
Because $$\frac{ds}{dt}$$ is constant, the shadow’s length is increasing
at a constant rate (irrespective of the distance from the skateboarder
to the lamppost).
Let $$y$$ represent the location of the tip of the shadow, so that
$$y = x + s$$. Observe that we can now compute $$\frac{dy}{dt}$$ in terms of
$$\frac{dx}{dt}$$ and $$\frac{ds}{dt}$$, with
$$\frac{dy}{dt} = \frac{dx}{dt} + \frac{ds}{dt} = 3 + 2 = 5$$ feet/sec,
and hence the tip of the shadow is moving more rapidly than the
skateboarder himself.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A baseball diamond is $$90'$$ square. A batter hits a ball along the third
base line runs to first base. At what rate is the distance between the
ball and first base changing when the ball is halfway to third base, if
at that instant the ball is traveling 100 feet/sec? At what rate is the
distance between the ball and the runner changing at the same instant,
if at the same instant the runner is 1/8 of the way to first base
running at 30 feet/sec?
Let $$x$$ denote the position of the ball along the third base line at
time $$t$$, and $$z$$ the distance from the ball to first base. Note that
the basepaths meet at 90 degree angles.
Let $$x$$ denote the position of the ball along the third base line at
time $$t$$, and $$z$$ the distance from the ball to first base. Note that
the basepaths meet at 90 degree angles. Find a right triangle in which
you can use the Pythagorean Theorem. When including the runner for the
second question, let $$r$$ denote the runner’s position at time $$t$$, and
again work with a key right triangle.
We let $$x$$ denote the position of the ball at time $$t$$ and $$z$$ the
distance from the ball to first base, as pictured below.
![image](figures/3_5_Act4Soln1.eps)
By the Pythagorean Theorem, we know that $$x^2 + 90^2 = z^2$$;
differentiating with respect to $$t$$, we have
$$2x\frac{dx}{dt} = 2z\frac{dz}{dt}.$$
At the instant the ball is halfway to third base, we know $$x = 45$$ and
$$\left. \frac{dx}{dt} \right|_{x = 45} = 100$$. Moreover, by Pythagoras,
$$z^2 = 90^2 + 45^2$$, so $$z = 45\sqrt{5}$$. Thus,
$$2 \cdot 45 \cdot 100 = 2 \cdot 45 \sqrt{5} \cdot \left. \frac{dz}{dt} \right|_{x = 45},$$
so
$$\left. \frac{dz}{dt} \right|_{x = 45} = \frac{100}{\sqrt{5}} \approx 44.7214 \ {feet/sec}.$$
For the second question, we still let $$x$$ represent the ball’s position
at time $$t$$, but now we introduce $$r$$ as the runner’s position at time
$$t$$ and let $$s$$ be the distance between the runner and the ball. In this
setting, as seen in the diagram below,
![image](figures/3_5_Act4Soln2.eps)
$$x$$, $$r$$, and $$s$$ form the sides of a right triangle, so that
$$x^2 + r^2 = s^2,$$
by the Pythagorean Theorem. Differentiating each side with respect to
$$t$$, it follows that the three rates of change are related by the
equation $$2x \frac{dx}{dt} + 2r \frac{dr}{dt} = 2s \frac{ds}{dt}.$$
We are given that at the instant $$x = 45$$, $$r = \frac{90}{8}$$, so by
Pythagoras, $$s = \frac{45}{4}\sqrt{17}$$. In addition, at this same
instant we know that $$\left. \frac{dx}{dt} \right|_{x = 45} = 100$$ and
$$\left. \frac{dr}{dt} \right|_{x = 45} = 30$$. Applying this information,
$$2 \cdot 45 \cdot 100 + 2 \cdot \frac{45}{4} \cdot 30 = 2 \cdot \frac{45}{4}\sqrt{17} \cdot \left. \frac{ds}{dt} \right|_{x = 45}$$
and therefore
$$\left. \frac{ds}{dt} \right|_{x = 45} = \frac{430}{\sqrt{17}} \approx 104.2903 \ {feet/sec}.$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A spherical balloon is being inflated at a constant rate of 20 cubic
inches per second. How fast is the radius of the balloon changing at the
instant the balloon’s diameter is 12 inches? Is the radius changing more
rapidly when $$d = 12$$ or when $$d = 16$$? Why?
''a)'' Draw several spheres with different radii, and observe that as volume
changes, the radius, diameter, and surface area of the balloon also
change.
''b)'' Recall that the volume of a sphere of radius $$r$$ is
$$V = \frac{4}{3} \pi r^3$$. Note well that in the setting of this
problem, ''both'' $$V$$ and $$r$$ are changing as time $$t$$ changes, and thus
both $$V$$ and $$r$$ may be viewed as implicit functions of $$t$$, with
respective derivatives $$\frac{dV}{dt}$$ and $$\frac{dr}{dt}$$.
Differentiate both sides of the equation $$V = \frac{4}{3} \pi r^3$$ with
respect to $$t$$ (using the chain rule on the right) to find a formula for
$$\frac{dV}{dt}$$ that depends on both $$r$$ and $$\frac{dr}{dt}$$.
''c)'' At this point in the problem, by differentiating we have “related the
rates” of change of $$V$$ and $$r$$. Recall that we are given in the problem
that the balloon is being inflated at a constant ''rate'' of 20 cubic
inches per second. Is this rate the value of $$\frac{dr}{dt}$$ or
$$\frac{dV}{dt}$$? Why?
''d)'' From part (c), we know the value of $$\frac{dV}{dt}$$ at every value of
$$t$$. Next, observe that when the diameter of the balloon is 12, we know
the value of the radius. In the equation
$$\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}$$, substitute these values for
the relevant quantities and solve for the remaining unknown quantity,
which is $$\frac{dr}{dt}$$. How fast is the radius changing at the instant
$$d = 12$$?
''e)'' How is the situation different when $$d = 16$$? When is the radius
changing more rapidly, when $$d = 12$$ or when $$d = 16$$?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A sailboat is sitting at rest near its dock. A rope attached to the bow
of the boat is drawn in over a pulley that stands on a post on the end
of the dock that is 5 feet higher than the bow. If the rope is being
pulled in at a rate of 2 feet per second, how fast is the boat
approaching the dock when the length of rope from bow to pulley is 13
feet?
A swimming pool is 60 feet long and 25 feet wide. Its depth varies
uniformly from 3 feet at the shallow end to 15 feet at the deep end, as
shown in the <<figreference 3_5_Ez3.svg>>.
Suppose the pool has been emptied and is now being filled with water at
a rate of 800 cubic feet per minute. At what rate is the depth of water
(measured at the deepest point of the pool) increasing when it is 5 feet
deep at that end? Over time, describe how the depth of the water will
increase: at an increasing rate, at a decreasing rate, or at a constant
rate. Explain.
''3.'' A baseball diamond is a square with sides 90 feet long. Suppose a
baseball player is advancing from second to third base at the rate of 24
feet per second, and an umpire is standing on home plate. Let $$\theta$$
be the angle between the third baseline and the line of sight from the
umpire to the runner. How fast is $$\theta$$ changing when the runner is
30 feet from third base?
''4.'' Sand is being dumped off a conveyor belt onto a pile in such a way that
the pile forms in the shape of a cone whose radius is always equal to
its height. Assuming that the sand is being dumped at a rate of 10 cubic
feet per minute, how fast is the height of the pile changing when there
are 1000 cubic feet on the pile?
If two quantities that are related, such as the radius and volume of a
spherical balloon, are both changing as implicit functions of time, how
are their rates of change related? That is, how does the relationship
between the values of the quantities affect the relationship between
their respective derivatives with respect to time?
In most of our applications of the derivative so far, we have worked in
settings where one quantity (often called $$y$$) depends explicitly on
another (say $$x$$), and in some way we have been interested in the
instantaneous rate at which $$y$$ changes with respect to $$x$$, leading us
to compute $$\frac{dy}{dx}$$. These settings emphasize how the derivative
enables us to quantify how the quantity $$y$$ is changing as $$x$$ changes
at a given $$x$$-value.
We are next going to consider situations where multiple quantities are
related to one another and changing, but where each quantity can be
considered an implicit function of the variable $$t$$, which represents
time. Through knowing how the quantities are related, we will be
interested in determining how their respective rates of change with
respect to time are related. For example, suppose that air is being
pumped into a spherical balloon in such a way that its volume increases
at a constant rate of 20 cubic inches per second. It makes sense that
since the balloon’s volume and radius are related, by knowing how fast
the volume is changing, we ought to be able to relate this rate to how
fast the radius is changing. More specifically, can we find how fast the
radius of the balloon is increasing at the moment the balloon’s diameter
is 12 inches?
The following preview activity leads you through the steps to answer
this question.
In problems where two or more quantities can be related to one another,
and all of the variables involved can be viewed as implicit functions of
time, $$t$$, we are often interested in how the rates of change of the
individual quantities with respect to time are themselves related; we
call these ''related rates'' problems. Often these problems involve
identifying one or more key underlying geometric relationships to relate
the variables involved. Once we have an equation establishing the
fundamental relationship among variables, we differentiate implicitly
with respect to time to find connections among the rates of change.
For example, consider the situation where sand is being dumped by a
conveyor belt on a pile so that the sand forms a right circular cone, as
pictured in <<figreference 3_5_ConeEx.svg>>.
<<figure 3_5_ConeEx.svg>>
As sand falls from the conveyor belt onto the top of the pile, obviously
several features of the sand pile will change: the volume of the pile
will grow, the height will increase, and the radius will get bigger,
too. All of these quantities are related to one another, and the rate at
which each is changing is related to the rate at which sand falls from
the conveyor.
The first key steps in any related rates problem involve identifying
which variables are changing and how they are related. In the current
problem involving a conical pile of sand, we observe that the radius and
height of the pile are related to the volume of the pile by the standard
equation for the volume of a cone,
$$V = \frac{1}{3} \pi r^2 h.$$
Viewing each of $$V$$, $$r$$, and $$h$$ as functions of $$t$$, we can
differentiate implicitly to determine an equation that relates their
respective rates of change. Taking the derivative of each side of the
equation with respect to $$t$$,
$$\frac{d}{dt}[V] = \frac{d}{dt}\left[\frac{1}{3} \pi r^2 h\right].$$
On the left, $$\frac{d}{dt}[V]$$ is simply $$\frac{dV}{dt}$$. On the right,
the situation is more complicated, as both $$r$$ and $$h$$ are implicit
functions of $$t$$, hence we have to use the product and chain rules.
Doing so, we find that
<center>
<table class="equationtable">
<tr><td> $$\frac{dV}{dt} $$
</td><td>= $$\frac{d}{dt}\left[\frac{1}{3} \pi r^2 h\right] $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{3} \pi r^2 \frac{d}{dt}[h] + \frac{1}{3} \pi h \frac{d}{dt}[r^2] $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{3} \pi r^2 \frac{dh}{dt} + \frac{1}{3} \pi h 2r \frac{dr}{dt} $$
</td></tr>
Note particularly how we are using ideas from Section [S:2.7.Implicit]
on implicit differentiation. There we found that when $$y$$ is an implicit
function of $$x$$, $$\frac{d}{dx}[y^2] = 2y \frac{dy}{dx}$$. The exact same
thing is occurring here when we compute
$$\frac{d}{dt}[r^2] = 2r \frac{dr}{dt}$$.
With our arrival at the equation
$$\frac{dV}{dt} = \frac{1}{3} \pi r^2 \frac{dh}{dt} + \frac{2}{3} \pi rh \frac{dr}{dt},$$
we have now related the rates of change of $$V$$, $$h$$, and $$r$$. If we are
given sufficient information, we may then find the value of one or more
of these rates of change at one or more points in time. Say, for
instance, that we know the following: (a) sand falls from the conveyor
in such a way that the height of the pile is always half the radius, and
(b) sand falls from the conveyor belt at a constant rate of 10 cubic
feet per minute. With this information given, we can answer questions
such as: how fast is the height of the sandpile changing at the moment
the radius is 4 feet?
The information that the height is always half the radius tells us that
for all values of $$t$$, $$h = \frac{1}{2}r$$. Differentiating with respect
to $$t$$, it follows that $$\frac{dh}{dt} = \frac{1}{2} \frac{dr}{dt}$$.
These relationships enable us to relate $$\frac{dV}{dt}$$ exclusively to
just one of $$r$$ or $$h$$. Substituting the expressions involving $$r$$ and
$$\frac{dr}{dt}$$ for $$h$$ and $$\frac{dh}{dt}$$, we now have that
$$
\frac{dV}{dt} = \frac{1}{3} \pi r^2 \cdot \frac{1}{2} \frac{dr}{dt} + \frac{2}{3} \pi r \cdot \frac{1}{2}r \cdot \frac{dr}{dt}.
$$
Since sand falls from the conveyor at the constant rate of 10 cubic feet
per minute, this tells us the value of $$\frac{dV}{dt}$$, the rate at
which the volume of the sand pile changes. In particular,
$$\frac{dV}{dt} = 10$$ ft$$^3$$/min. Furthermore, since we are interested in
how fast the height of the pile is changing at the instant $$r = 4$$, we
use the value $$r = 4$$ along with $$\frac{dV}{dt} = 10$$ in
Equation ([E:ConeRR]), and hence find that
$$10 = \frac{1}{3} \pi 4^2 \cdot \frac{1}{2} \left. \frac{dr}{dt} \right|_{r=4} + \frac{2}{3} \pi 4 \cdot \frac{1}{2}4 \cdot \left. \frac{dr}{dt} \right|_{r=4} = \frac{8}{3}\pi \left. \frac{dr}{dt} \right|_{r=4} + \frac{16}{3} \pi \left. \frac{dr}{dt} \right|_{r=4}.$$
With only the value of $$\left. \frac{dr}{dt} \right|_{r=4}$$ remaining
unknown, we solve for $$\left. \frac{dr}{dt} \right|_{r=4}$$ and find that
$$10 = 8 \pi \left. \frac{dr}{dt} \right|_{r=4}$$, so that
$$\left. \frac{dr}{dt} \right|_{r=4} = \frac{10}{8\pi} \approx 0.39789$$
feet per second. Because we were interested in how fast the height of
the pile was changing at this instant, we want to know $$\frac{dh}{dt}$$
when $$r = 4$$. Since $$\frac{dh}{dt} = \frac{1}{2} \frac{dr}{dt}$$ for all
values of $$t$$, it follows
$$\left. \frac{dh}{dt} \right|_{r=4} = \frac{5}{8\pi} \approx 0.19894 \ {ft/min}.$$
Note particularly how we distinguish between the notations
$$\frac{dr}{dt}$$ and $$\left. \frac{dr}{dt} \right|_{r=4}$$. The former
represents the rate of change of $$r$$ with respect to $$t$$ at an arbitrary
value of $$t$$, while the latter is the rate of change of $$r$$ with respect
to $$t$$ at a particular moment, in fact the moment $$r = 4$$. While we
don’t know the exact value of $$t$$, because information is provided about
the value of $$r$$, it is important to distinguish that we are using this
more specific data.
The relationship between $$h$$ and $$r$$, with $$h = \frac{1}{2}r$$ for all
values of $$t$$, enables us to transition easily between questions
involving $$r$$ and $$h$$. Indeed, had we known this information at the
problem’s outset, we could have immediately simplified our work. Using
$$h = \frac{1}{2}r$$, it follows that since $$V = \frac{1}{3} \pi r^2 h$$,
we can write $$V$$ solely in terms of $$r$$ to have
$$V = \frac{1}{3} \pi r^2 \left(\frac{1}{2}h\right) = \frac{1}{6} \pi r^3.$$
From this last equation, differentiating with respect to $$t$$ implies
$$\frac{dV}{dt} = \frac{1}{2} \pi r^2,$$
from which the same conclusions made earlier about $$\frac{dr}{dt}$$ and
$$\frac{dh}{dt}$$ can be made.
Our work with the sandpile problem above is similar in many ways to our
approach in <<reference 3.5.PA1>>, and these steps are typical of
most related rates problems. In certain ways, they also resemble work we
do in applied optimization problems, and here we summarize the main
approach for consideration in subsequent problems.
* Identify the quantities in the problem that are changing and choose clearly defined variable names for them. Draw one or more figures that clearly represent the situation.
* Determine all rates of change that are known or given and identify the rate(s) of change to be found.
* Find an equation that relates the variables whose rates of change are known to those variables whose rates of change are to be found.
* Differentiate implicitly with respect to $$t$$ to relate the rates of change of the involved quantities.
* Evaluate the derivatives and variables at the information relevant to the instant at which a certain rate of change is sought. Use proper notation to identify when a derivative is being evaluated at a particular instant, such as $$\left. \frac{dr}{dt} \right|_{r=4}$$.
In the first step of identifying changing quantities and drawing a
picture, it is important to think about the dynamic ways in which the
involved quantities change. Sometimes a sequence of pictures can be
helpful; for some already-drawn pictures that can be easily modified as
applets built in Geogebra, see the following links<<footnote [2] "We again refer to the work of Prof. Marc Renault of Shippensburg
University, found at http://gvsu.edu/s/5p.
">> which represent
* how a circular oil slick’s area grows as its radius increases http://gvsu.edu/s/9n;
* how the location of the base of a ladder and its height along a wall change as the ladder slides http://gvsu.edu/s/9o
* how the water level changes in a conical tank as it fills with water at a constant rate. http://gvsu.edu/s/9p)(compare the problem in <<reference 3.5.Act1>>);
* how a skateboarder’s shadow changes as he moves past a lamppost http://gvsu.edu/s/9q.
Drawing well-labeled diagrams and envisioning how different parts of the
figure change is a key part of understanding related rates problems and
being successful at solving them.
Recognizing familiar geometric configurations is one way that we relate
the changing quantities in a given problem. For instance, while the
problem in <<reference 3.5.Act1>> is centered on a conical tank, one of the
most important observations is that there are two key right triangles
present. In another setting, a right triangle might be indicative of an
opportunity to take advantage of the Pythagorean Theorem to relate the
legs of the triangle. But in the conical tank, the fact that the water
at any time fills a portion of the tank in such a way that the ratio of
radius to depth is constant turns out to be the most important
relationship with which to work. That enables us to write $$r$$ in terms
of $$h$$ and reduce the overall problem to one where the volume of water
depends simply on $$h$$, and hence to subsequently relate $$\frac{dV}{dt}$$
and $$\frac{dh}{dt}$$. In other situations where a changing angle is
involved, a right triangle may offer the opportunity to find
relationships among various parts of the triangle using trigonometric
functions.
In addition to being able to find instantaneous rates of change at
particular points in time, we are often able to make more general
observations about how particular rates themselves will change over
time. For instance, when a conical tank (point down) is filling with
water at a constant rate, we naturally intuit that the depth of the
water should increase more slowly over time. Note how carefully we need
to speak: we mean to say that while the depth, $$h$$, of the water is
increasing, its rate of change $$\frac{dh}{dt}$$ is decreasing (both as a
function of $$t$$ and as a function of $$h$$). These observations may often
be made by taking the general equation that relates the various rates
and solving for one of them, and doing this without substituting any
particular values for known variables or rates. For instance, in the
conical tank problem in <<figreference 3.5.Act1>>, we established that
$$\frac{dV}{dt} = \frac{1}{16} \pi h^2 \frac{dh}{dt},$$
$$\frac{dh}{dt} = \frac{16}{\pi h^2} \frac{dV}{dt}.$$
Provided that $$\frac{dV}{dt}$$ is constant, it is immediately apparent
that as $$h$$ gets larger, $$\frac{dh}{dt}$$ will get smaller, while always
remaining positive. Hence, the depth of the water is increasing at a
decreasing rate.
As we progress further into related rates problems, less direction will
be provided. In the first three activities of this section, we have been
provided with guided instruction to build a solution in a step by step
way. For the closing activity and the following exercises, most of the
detailed work is left to the reader.
!!Summary
---
In this section, we encountered the following important ideas:
---
* When two or more related quantities are changing as implicit functions of time, their rates of change can be related by implicitly differentiating the equation that relates the quantities themselves. For instance, if the sides of a right triangle are all changing as functions of time, say having lengths $$x$$, $$y$$, and $$z$$, then these quantities are related by the Pythagorean Theorem: $$x^2 + y^2 = z^2$$. It follows by implicitly differentiating with respect to $$t$$ that their rates are related by the equation
$$2x \frac{dx}{dt} + 2y\frac{dy}{dt} = 2z \frac{dz}{dt},$$
so that if we know the values of $$x$$, $$y$$, and $$z$$ at a particular time,
as well as two of the three rates, we can deduce the value of the third.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Average vs. instantaneous rate of change
Draw
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
average vs. instantaneous velocity
maximizing rates of change – the spherical tank problem
!!Connecting Related Rates and Extremes
(Mathematics is a unified body of knowledge)
Using Derivatives {#C:3}
=================
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
Suppose that a person is walking in such a way that her velocity varies slightly according to the information given in the table below and graph given in <<figreference 4_1_Act1.svg>>.
[img width="100%" [4.1.act1.table]]
''a)'' Using the grid, graph, and given data appropriately, estimate the
distance traveled by the walker during the two hour interval from
$$t = 0$$ to $$t = 2$$. You should use time intervals of width
$$\triangle t = 0.5$$, choosing a way to use the function consistently to
determine the height of each rectangle in order to approximate distance
traveled.
''b)'' How could you get a better approximation of the distance traveled on
$$[0,2]$$? Explain, and then find this new estimate.
''c)'' Now suppose that you know that $$v$$ is given by
$$v(t) = 0.5t^3-1.5t^2+1.5t+1.5$$. Remember that $$v$$ is the derivative of
the walker’s position function, $$s$$. Find a formula for $$s$$ so that
$$s' = v$$.
''d)'' Based on your work in (c), what is the value of $$s(2) - s(0)$$? What is
the meaning of this quantity?
For instance, the approximate distance traveled on $$[0,0.5]$$ can be
computed by $$v(0) \cdot 0.5 = 1.5 \cdot 0.5 = 0.75$$ miles.
Think about the possibility of using a larger number of rectangles.
If $$v(t) = t^3$$ and we seek a function $$s$$ such that $$s' = v$$, note that
$$s$$ has to involve $$t^4$$.
Observe that this quantity is measuring a change in position.
For instance, the approximate distance traveled on $$[0,0.5]$$ can be
computed by $$v(0) \cdot 0.5 = 1.5 \cdot 0.5 = 0.75$$ mile, while the
approximate distance on $$[0.5,1]$$ can be computed by
$$v(0.5) \cdot 0.5 = 1.9375 \cdot 0.5 = 0.9688$$.
Think about the possibility of using a larger number of rectangles that
are narrower in width.
If $$v(t) = t^3$$ and we seek a function $$s$$ such that $$s' = v$$, note that
one possible formula for $$s$$ is $$s(t) = \frac{1}{4}t^4$$.
Observe that this quantity is measuring a change in position. How is its
value connected to other earlier work you’ve done?
Using rectangles of width $$\triangle t = 0.5$$ and choosing to set the
heights of the rectangles from the function value at the left end of the
interval, we see the following graph and find the sum of the areas of
the rectangles to be
![image](figures/4_1_Act1Soln.eps)
Thus, the distance traveled is approximately $$D \approx 3.75$$ miles.
It appears that a better approximation could be found using narrower
rectangles. If we move to 8 rectangles of width $$0.25$$, similar
computations show that $$D \approx 3.875$$.
By thinking about how the power rule for differentiation works, we can
undo this rule and find a position function $$s$$ whose derivative is $$v$$.
For instance, since $$\frac{d}{dt}[t^4] = 4t^3$$, we see that
$$\frac{d}{dt}[\frac{1}{8}t^4] = \frac{1}{2}t^3$$. Thus, if we let
$$s(t) = \frac{1}{8}t^4 - \frac{1}{2} t^3 + \frac{3}{4} t^2 + \frac{3}{2}t,$$
then it is straightforward to check that
$$s'(t) = \frac{1}{2}t^3 - \frac{3}{2}t^2 + \frac{3}{2}t + \frac{3}{2}$$,
which is precisely the formula for $$v(t)$$ that we were given.
By the rule found in (c) for $$s$$, we have that
$$s(2) - s(0) = \frac{1}{8}2^4 - \frac{1}{2}2^3 + \frac{3}{4}2^2 + \frac{3}{2} 2 = 2 - 4 + 3 + 3 = 4$$.
This is the change in the walker’s position over the time interval
$$[0,2]$$, and since the velocity is always positive, this is actually the
exact distance traveled. We see how both earlier estimates ($$3.75$$ and
$$3.785$$) are good approximations to this value.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A ball is tossed vertically in such a way that its velocity function is given by $$v(t) = 32 - 32t$$, where $$t$$ is measured in seconds and $$v$$ in feet per second. Assume that this function is valid for $$0 \le t \le 2$$.
''a)'' For what values of $$t$$ is the velocity of the ball positive? What does
this tell you about the motion of the ball on this interval of time
values?
''b)'' Find an antiderivative, $$s$$, of $$v$$ that satisfies $$s(0) = 0$$.
''c)'' Compute the value of $$s(1) - s(\frac{1}{2})$$. What is the meaning of the
value you find?
''d)'' Using the graph of $$y = v(t)$$ provided in <<figreference 4_1_Act2.svg>>, find the
exact area of the region under the velocity curve between
$$t = \frac{1}{2}$$ and $$t = 1$$. What is the meaning of the value you
find?
''e)'' Answer the same questions as in (c) and (d) but instead using the
interval $$[0,1]$$.
''f)'' What is the value of $$s(2) - s(0)$$? What does this result tell you about
the flight of the ball? How is this value connected to the provided
graph of $$y = v(t)$$? Explain.
Since $$v$$ is linear, note that $$s$$ must be quadratic.
Observe that you are taking the difference between two values of the
position function.
The region whose area is sought is triangular.
What does it mean for the change of the ball’s position to be zero?
Where is velocity zero? Recall that positive velocity makes the position
function increasing.
Since $$v$$ is linear, note that $$s$$ must be quadratic. What function has
derivative $$32$$? What function has derivative $$32t$$?
Observe that you are taking the difference between two values of the
position function.
The region whose area is sought is triangular. Simply use the known
formula for the area of a triangle; do not use approximating rectangles.
What does it mean for the change of the ball’s position to be zero? How
should we think of the area that lies beneath the $$t$$-axis on the
interval $$1 < t < 2$$?
Note that $$v(1) = 0$$ and for $$0 < t < 1$$, $$v(t) > 0$$. This means that on
the interval $$(0,1)$$, the position function $$s$$ is increasing because
velocity is positive.
We can check that the derivative of $$s(t) = 32t - 16t^2$$ is
$$s'(t) = v(t) = 32 - 32t$$, and that $$s(0) = 0$$, so this is the
antiderivative of $$v$$ that we desire.
Now, $$s(1) - s(\frac{1}{2}) = (32 - 16) - (16 - 4) = 4$$, which is the
change in position of the ball on the interval $$[\frac{1}{2},1]$$.
Equivalently, since $$v$$ is positive through this interval, 4 feet is the
vertical distance the ball traveled during this time.
On the interval from $$t = \frac{1}{2}$$ to $$t = 1$$, the corresponding
area under the velocity curve is the area of the right triangular region
whose width is $$\frac{1}{2}$$ seconds and whose height is
$$v(\frac{1}{2}) = 16$$ feet/sec. That area is therefore
$$A = \frac{1}{2} bh = \frac{1}{2} \cdot \frac{1}{2} \cdot 16 = 4$$ feet.
This is the total distance the ball traveled vertically on
$$[0,\frac{1}{2}]$$.
$$s(1) - s(0) = (32 - 16) - (0-0) = 16$$, which is the vertical distance
the ball traveled on the interval $$[0,1]$$. The area under the velocity
curve on $$[0,1]$$ is the area of the triangle with height 32 (ft/sec) and
base 1 (second), which is $$A = \frac{1}{2} \cdot 1 \cdot 32 = 16$$ feet.
These two results are identical, in part due to the fact that we are
using two different perspectives to compute the same quantity, which is
distance traveled.
Observe that $$s(2) - s(0) = (32 - 32) - (0 - 0) = 0$$. This means that
the ball has zero change in position on the interval $$[0,2]$$. But we
already established that on the interval $$[0,1]$$, the ball traveled 16
feet vertically; since the velocity becomes negative on the interval
$$1 < t < 2$$, there we know the ball’s position is decreasing, so it is
falling back to earth. The resulting zero change in position means that
at $$t = 2$$ the ball has returned to the location from which it was
tossed. If we view the area between the velocity function and the
$$t$$-axis as being negative wherever $$v$$ is negative, then we see that
the areas of the two triangles involved are opposites, which in some
sense results in the “total area” being zero, matching the change in
position.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that an object moving along a straight line path has its velocity $$v$$ (in meters per second) at time $$t$$ (in seconds) given by the piecewise linear function whose graph is pictured in <<figreference 4_1_Act3.svg>>. We view movement to the right as being in the positive direction (with positive velocity), while movement to the left is in the negative direction.
Suppose further that the object’s initial position at time $$t = 0$$ is
$$s(0) = 1$$.
''a)'' Determine the total distance traveled and the total change in position
on the time interval $$0 \le t \le 2$$. What is the object’s position at
$$t = 2$$?
''b)'' On what time intervals is the moving object’s position function
increasing? Why? On what intervals is the object’s position decreasing?
Why?
''c)'' What is the object’s position at $$t = 8$$? How many total meters has it
traveled to get to this point (including distance in both directions)?
Is this different from the object’s total change in position on $$t = 0$$
to $$t = 8$$?
''d)'' Find the exact position of the object at $$t = 1, 2, 3, \ldots, 8$$ and
use this data to sketch an accurate graph of $$y = s(t)$$ on the axes
provided at right. How can you use the provided information about
$$y = v(t)$$ to determine the concavity of $$s$$ on each relevant interval?
Find the area of each triangular region formed between $$y = v(t)$$ and
the $$t$$-axis.
Recall that $$v = s'$$, and here we are given complete information about
$$v$$.
Be careful to address whether $$v$$ is positive or negative when
calculating areas and adding the results.
Consider finding the area bounded by $$y = v(t)$$ and the $$t$$-axis on each
interval $$[0,1]$$, $$[1,2]$$, $$\ldots$$.
Find the area of the triangular regions formed between $$y = v(t)$$ and
the $$t$$-axis on $$[0,1]$$ and $$[1,2]$$.
Recall that $$v = s'$$, and here we are given complete information about
$$v$$.
Be careful to address whether $$v$$ is positive or negative when
calculating areas and adding the results.
Consider finding the area bounded by $$y = v(t)$$ and the $$t$$-axis on each
interval $$[0,1]$$, $$[1,2]$$, $$\ldots$$.
By finding the area of the triangular regions formed between $$y = v(t)$$
and the $$t$$-axis on $$[0,1]$$ and $$[1,2]$$ (each of which is $$1$$), it
follows that the object’s total distance traveled is $$2$$, while its
change in position is $$0$$. The latter is true since the net signed area
bounded by $$v$$ on $$[0,2]$$ is $$1 - 1 = 0$$.
The object’s position is increasing wherever its velocity is positive,
hence for $$0 \le t < 1$$ and $$4 < 5 < 8>$$.
By calculating the area bounded by the curve, we find 1 unit of area on
$$[0,1]$$, 4 units of area on $$[1,4]$$, and 8 units of area on $$[4,8]$$,
thus the total distance traveled on $$0 \le t \le 8$$ is $$D = 1 + 4 + 8$$
meters. As the change in position is given by the net signed area on
this interval, we find that the change in position is
$$s(8) - s(0) = 1 - 4 + 8 = 5 \ {m}.$$
In the figure below, at left we list all of the areas bounded by $$v$$ on
each one-unit subinterval. Along with the given starting point that
$$s(0) = 1$$, we use the resulting changes in position to plot points for
the function $$s$$. For instance, we know $$s(1) - s(0) = 1$$, hence
$$s(1) = 2$$. Similarly, $$s(2) - s(1) = -1$$, thus $$s(2) = 1$$. Continuing
across the interval, we generate the function $$s$$ that is pictured at
right. Note that the portion of $$s$$ from $$t = 2$$ to $$t = 3$$ is linear
because $$v$$ is constant there, while the other parts of $$s$$ appear to be
quadratic, as they correspond to intervals where $$v$$ is linear.
![image](figures/4_1_Act3Soln.eps)
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
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose that a person is taking a walk along a long straight path and
walks at a constant rate of 3 miles per hour.
''a)'' On the left-hand axes provided in <<figreference 4_1_PA1.svg>>, sketch a labeled
graph of the velocity function $$v(t) = 3$$.
Note that while the scale on the two sets of axes is the same, the units
on the right-hand axes differ from those on the left. The right-hand
axes will be used in question (d).
''b)'' How far did the person travel during the two hours? How is this distance
related to the area of a certain region under the graph of $$y = v(t)$$?
''c)'' Find an algebraic formula, $$s(t)$$, for the position of the person at
time $$t$$, assuming that $$s(0) = 0$$. Explain your thinking.
''d)'' On the right-hand axes provided in Figure [F:4.1.PA1], sketch a labeled
graph of the position function $$y = s(t)$$.
''e)'' For what values of $$t$$ is the position function $$s$$ increasing? Explain
why this is the case using relevant information about the velocity
function $$v$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Along the eastern shore of Lake Michigan from Lake Macatawa (near
Holland) to Grand Haven, there is a bike bath that runs almost directly
north-south. For the purposes of this problem, assume the road is
completely straight, and that the function $$s(t)$$ tracks the position of
the biker along this path in miles north of Pigeon Lake, which lies
roughly halfway between the ends of the bike path.
Suppose that the biker’s velocity function is given by the graph in
<<figreference 4_1_Ez1.svg>> on the time interval $$0 \le t \le 4$$ (where $$t$$ is
measured in hours), and that $$s(0) = 1$$.
''a)'' Approximately how far north of Pigeon Lake was the cyclist when she was
the greatest distance away from Pigeon Lake? At what time did this
occur?
''b)'' What is the cyclist’s total change in position on the time interval
$$0 \le t \le 2$$? At $$t = 2$$, was she north or south of Pigeon Lake?
''c)'' What is the total distance the biker traveled on $$0 \le t \le 4$$? At the
end of the ride, how close was she to the point at which she started?
''d)'' Sketch an approximate graph of $$y = s(t)$$, the position function of the
cyclist, on the interval $$0 \le t \le 4$$. Label at least four important
points on the graph of $$s$$.
''2.'' A toy rocket is launched vertically from the ground on a day with no
wind. The rocket’s vertical velocity at time $$t$$ (in seconds) is given
by $$v(t)= 500-32t$$ feet/sec.
''a)'' At what time after the rocket is launched does the rocket’s velocity
equal zero? Call this time value $$a$$. What happens to the rocket at
$$t = a$$?
''b)'' Find the value of the total area enclosed by $$y = v(t)$$ and the $$t$$-axis
on the interval $$0 \le t \le a$$. What does this area represent in terms
of the physical setting of the problem?
''c)'' Find an antiderivative $$s$$ of the function $$v$$. That is, find a function
$$s$$ such that $$s'(t) = v(t)$$.
''d)'' Compute the value of $$s(a) - s(0)$$. What does this number represent in
terms of the physical setting of the problem?
''e)'' Compute $$s(5) - s(1)$$. What does this number tell you about the rocket’s
flight?
''3.'' An object moving along a horizontal axis has its instantaneous velocity
at time $$t$$ in seconds given by the function $$v$$ pictured in
<<figreference 4_1_Ez3.svg>> , where $$v$$ is measured in feet/sec.
Assume that the curves that make up the parts of the graph of $$y=v(t)$$
are either portions of straight lines or portions of circles.
''a)'' Determine the exact total distance the object traveled on
$$0 \le t \le 2$$.
''b)'' What is the value and meaning of $$s(5) - s(2)$$, where $$y = s(t)$$ is the
position function of the moving object?
''c)'' On which time interval did the object travel the greatest distance:
$$[0,2]$$, $$[2,4]$$, or $$[5,7]$$?
''d)'' On which time interval(s) is the position function $$s$$ increasing? At
which point(s) does $$s$$ achieve a relative maximum?
''4.'' Filters at a water treatment plant become dirtier over time and thus
become less effective; they are replaced every 30 days. During one
30-day period, the rate at which pollution passes through the filters
into a nearby lake (in units of particulate matter per day) is measured
every 6 days and is given in the following table. The time $$t$$ is
measured in days since the filters were replaced.
[img width=100% [4.1.Ex.table]]
''a)'' Plot the given data on a set of axes with time on the horizontal axis
and the rate of pollution on the vertical axis.
''b)'' Explain why the amount of pollution that entered the lake during this
30-day period would be given exactly by the area bounded by $$y = p(t)$$
and the $$t$$-axis on the time interval $$[0,30]$$.
''c)'' Estimate the total amount of pollution entering the lake during this
30-day period. Carefully explain how you determined your estimate.
If we know the velocity of a moving body at every point in a given
interval, can we determine the distance the object has traveled on the
time interval?
How is the problem of finding distance traveled related to finding the
area under a certain curve?
What does it mean to antidifferentiate a function and why is this
process relevant to finding distance traveled?
If velocity is negative, how does this impact the problem of finding
distance traveled?
In the very first section of the text, we considered a situation where a
moving object had a known position at time $$t$$. In particular, we
stipulated that a tennis ball tossed into the air had its height $$s$$ (in
feet) at time $$t$$ (in seconds) given by $$s(t) = 64 - 16(t-1)^2$$. From
this starting point, we investigated the average velocity of the ball on
a given interval $$[a,b]$$, computed by the difference quotient
$$\frac{s(b)-s(a)}{b-a}$$, and eventually found that we could determine
the exact instantaneous velocity of the ball at time $$t$$ by taking the
derivative of the position function,
$$s'(t) = \lim_{h \to 0} \frac{s(t+h)-s(t)}{h}.$$
Thus, given a differentiable position function, we are able to know the
exact velocity of the moving object at any point in time.
Moreover, from this foundational problem involving position and velocity
we have learned a great deal. Given a differentiable function $$f$$, we
are now able to find its derivative and use this derivative to determine
the function’s instantaneous rate of change at any point in the domain,
as well as to find where the function is increasing or decreasing, is
concave up or concave down, and has relative extremes. The vast majority
of the problems and applications we have considered have involved the
situation where a particular function is known and we seek information
that relies on knowing the function’s instantaneous rate of change. That
is, we have typically proceeded from a function $$f$$ to its derivative,
$$f'$$, and then used the meaning of the derivative to help us answer
important questions.
In a much smaller number of situations so far, we have encountered the
reverse situation where we instead know the derivative, $$f'$$, and have
tried to deduce information about $$f$$. It is this particular problem
that will be the focus of our attention in most of <<reference [[Chapter 4]]>> : if we
know the instantaneous rate of change of a function, are we able to
determine the function itself? To begin, we start with a more focused
question: if we know the instantaneous velocity of an object moving
along a straight line path, can we determine its corresponding position
function?
!!Area under the graph of the velocity function
In <<reference 4.1.PA1>>, we encountered a fundamental fact: when a
moving object’s velocity is constant (and positive), the area under the
velocity curve over a given interval tells us the distance the object
traveled.
<<figure 4_1_VelArea.svg>>
As seen at left in <<figreference 4_1_VelArea.svg>>, if we consider an object
moving at 2 miles per hour over the time interval $$[1,1.5]$$, then the
area $$A_1$$ of the shaded region under $$y = v(t)$$ on $$[1,1.5]$$ is
$$A _1= 2 \, \frac{miles}{hour} \cdot \frac{1}{2} \, hours = 1 \, mile.$$
This principle holds in general simply due to the fact that distance
equals rate times time, provided the rate is constant. Thus, if $$v(t)$$
is constant on the interval $$[a,b]$$, then the distance traveled on
$$[a,b]$$ is the area $$A$$ that is given by
$$A = v(a) (b-a) = v(a) \triangle t,$$
where $$\triangle t$$ is the change in $$t$$ over the interval. Note, too,
that we could use any value of $$v(t)$$ on the interval $$[a,b]$$, since the
velocity is constant; we simply chose $$v(a)$$, the value at the
interval’s left endpoint. For several examples where the velocity
function is piecewise constant, see http://gvsu.edu/s/9T. <<footnote [1] "Marc Renault, calculus applets">>.
The situation is obviously more complicated when the velocity function
is not constant. At the same time, on relatively small intervals on
which $$v(t)$$ does not vary much, the area principle allows us to
estimate the distance the moving object travels on that time interval.
For instance, for the non-constant velocity function shown at right in <<figreference 4_1_VelArea.svg>>, we see that on the interval $$[1,1.5]$$, velocity
varies from $$v(1) = 2.5$$ down to $$v(1.5) \approx 2.1$$. Hence, one
estimate for distance traveled is the area of the pictured rectangle,
$$A_2 = v(1) \triangle t = 2.5 \, \frac{{miles}}{{hour}} \cdot \frac{1}{2} \, {hours} = 1.25 \, {miles}.$$
Because $$v$$ is decreasing on $$[1,1.5]$$ and the rectangle lies above the
curve, clearly $$A_2 = 1.25$$ is an over-estimate of the actual distance
traveled.
If we want to estimate the area under the non-constant velocity function
on a wider interval, say $$[0,3]$$, it becomes apparent that one rectangle
probably will not give a good approximation. Instead, we could use the
six rectangles pictured in <<figreference 4_1_VelArea2.svg>>,
<<figure 4_1_VelArea2.svg>>
find the area of each rectangle, and add up the total. Obviously there
are choices to make and issues to understand: how many rectangles should
we use? where should we evaluate the function to decide the rectangle’s
height? what happens if velocity is sometimes negative? can we attain
the exact area under any non-constant curve? These questions and more
are ones we will study in what follows; for now it suffices to realize
that the simple idea of the area of a rectangle gives us a powerful tool
for estimating both distance traveled from a velocity function as well
as the area under an arbitrary curve. To explore the setting of multiple
rectangles to approximate area under a non-constant velocity function,
see the applet found at
http://gvsu.edu/s/9U). <<footnote [2]
"Marc Renault, calculus applets.">>
!!Two approaches: area and antidifferentiation
When the velocity of a moving object is positive, the object’s position
is always increasing. While we will soon consider situations where
velocity is negative and think about the ramifications of this condition
on distance traveled, for now we continue to assume that we are working
with a positive velocity function. In that setting, we have established
that whenever $$v$$ is actually constant, the exact distance traveled on
an interval is the area under the velocity curve; furthermore, we have
observed that when $$v$$ is not constant, we can estimate the total
distance traveled by finding the areas of rectangles that help to
approximate the area under the velocity curve on the given interval.
Hence, we see the importance of the problem of finding the area between
a curve and the horizontal axis: besides being an interesting geometric
question, in the setting of the curve being the (positive) velocity of a
moving object, the area under the curve over an interval tells us the
exact distance traveled on the interval. We can estimate this area any
time we have a graph of the velocity function or a table of data that
tells us some relevant values of the function.
In <<reference 4.1.Act1>>, we also encountered an alternate approach to
finding the distance traveled. In particular, if we know a formula for
the instantaneous velocity, $$y = v(t)$$, of the moving body at time $$t$$,
then we realize that $$v$$ must be the derivative of some corresponding
position function $$s$$. If we can find a formula for $$s$$ from the formula
for $$v$$, it follows that we know the position of the object at time $$t$$.
In addition, under the assumption that velocity is positive, the change
in position over a given interval then tells us the distance traveled on
that interval.
For a simple example, consider the situation from <<reference 4.1.PA1>>, where a person is walking along a straight line and
has velocity function $$v(t) = 3$$ mph.
<<figure 4_1_PA1Soln.svg>>
As pictured in <<figreference 4_1_PA1Soln.svg>>, we see the already noted
relationship between area and distance traveled on the left-hand graph
of the velocity function. In addition, because the velocity is constant
at 3, we know that if <<footnote "[1]" "Here we are making the implicit assumption that $$s(0) = 0$$; we
will further discuss the different possibilities for values of
$$s(0)$$ in subsequent study.">> $$s(t) = 3t$$, then $$s'(t) = 3$$, so $$s(t) = 3t$$
is a function whose derivative is $$v(t)$$. Furthermore, we now observe
that $$s(1.5) = 4.5$$ and $$s(0.25) = 0.75$$, which are the respective
locations of the person at times $$t = 0.25$$ and $$t = 1.5$$, and therefore
$$s(1.5) - s(0.25) = 4.5 - 0.75 = 3.75 \ {miles}.$$
This is not only the change in position on $$[0.25,1.5]$$, but also
precisely the distance traveled on $$[0.25,1.5]$$, which can also be
computed by finding the area under the velocity curve over the same
interval. There are profound ideas and connections present in this
example that we will spend much of the remainder of <<reference [[Chapter 4]]>>
studying and exploring.
For now, it is most important to observe that if we are given a formula
for a velocity function $$v$$, it can be very helpful to find a function
$$s$$ that satisfies $$s = v'$$. In this context, we say that $$s$$ is an
''antiderivative'' of $$v$$. More generally, just as we say that $$f'$$ is the
derivative of $$f$$ for a given function $$f$$, if we are given a function
$$g$$ and $$G$$ is a function such that $$G' = g$$, we say that $$G$$ is an
''antiderivative'' of $$g$$. For example, if $$g(x) = 3x^2 + 2x$$, an
antiderivative of $$g$$ is $$G(x) = x^3 + x^2$$, since $$G'(x) = g(x)$$. Note
that we say “an” antiderivative of $$g$$ rather than “the” antiderivative
of $$g$$ because $$H(x) = x^3 + x^2 + 5$$ is also a function whose
derivative is $$g$$, and thus $$H$$ is another antiderivative of $$g$$.
!!When velocity is negative
Most of our work in this section has occurred under the assumption that
velocity is positive. This hypothesis guarantees that the movement of
the object under consideration is always in a single direction, and
hence ensures that the moving body’s change in position is the same as
the distance it travels on a given interval. As we saw in
<<reference 4.1.Act2>>, there are natural settings in which a moving
object’s velocity is negative; we would like to understand this scenario
fully as well.
Consider a simple example where a person goes for a walk on a beach
along a stretch of very straight shoreline that runs east-west. We can
naturally assume that their initial position is $$s(0) = 0$$, and further
stipulate that their position function increases as they move east from
their starting location. For instance, a position of $$s = 1$$ mile
represents being one mile east of the start location, while $$s = -1$$
tells us the person is one mile west of where they began walking on the
beach. Now suppose the person walks in the following manner. From the
outset at $$t = 0$$, the person walks due east at a constant rate of $$3$$
mph for 1.5 hours. After 1.5 hours, the person stops abruptly and begins
walking due west at the constant rate of $$4$$ mph and does so for 0.5
hours. Then, after another abrupt stop and start, the person resumes
walking at a constant rate of $$3$$ mph to the east for one more hour.
What is the total distance the person traveled on the time interval
$$t = 0$$ to $$t = 3$$? What is the person’s total change in position over
that time?
On one hand, these are elementary questions to answer because the
velocity involved is constant on each interval. From $$t = 0$$ to
$$t = 1.5$$, the person traveled
$$D_{[0,1.5]} = 3 \ {miles per hour} \cdot 1.5 \ {hours} = 4.5 \ {miles}.$$
Similarly, on $$t = 1.5$$ to $$t = 2$$, having a different rate, the
distance traveled is
$$D_{[1.5,2]} = 4 \ {miles per hour} \cdot 0.5 \ {hours} = 2 \ {miles}.$$
Finally, similar calculations reveal that in the final hour, the person
walked
$$D_{[2,3]} = 3 \ {miles per hour} \cdot 1 \ {hours} = 3 \ {miles},$$
so the total distance traveled is
$$D = D_{[0,1.5]} + D_{[1.5,2]} + D_{[2,3]} = 4.5 + 2 + 3 = 9.5 \ {miles}.$$
Since the velocity on $$1.5 < t < 2$$ is actually $$v = -4$$, being negative
to indication motion in the westward direction, this tells us that the
person first walked 4.5 miles east, then 2 miles west, followed by 3
more miles east. Thus, the walker’s total change in position is
change in position$$ = 4.5 - 2 + 3 = 5.5 \ {miles}.$$
While we have been able to answer these questions fairly easily, it is
also important to think about this problem graphically in order that we
can generalize our solution to the more complicated setting when
velocity is not constant, as well as to note the particular impact that
negative velocity has.
<<figure 4_1_NegVel.svg>>
In <<figreference 4_1_NegVel.svg>>, we see how the distances we computed above can
be viewed as areas: $$A_1 = 4.5$$ comes from taking rate times time
($$3 \cdot 1.5$$), as do $$A_2$$ and $$A_3$$ for the second and third
rectangles. The big new issue is that while $$A_2$$ is an area (and is
therefore positive), because this area involves an interval on which the
velocity function is negative, its area has a negative sign associated
with it. This helps us to distinguish between distance traveled and
change in position.
The distance traveled is the sum of the areas,
$$D = A_1 + A_2 + A_3 = 4.5 + 2 + 3 = 9.5 \ {miles}.$$
But the
change in position has to account for the sign associated with the area,
where those above the $$t$$-axis are considered positive while those below
the $$t$$-axis are viewed as negative, so that
$$s(3) - s(0) = (+4.5) + (-2) + (+3) = 5.5 \ {miles},$$
assigning the “$$-2$$” to the area in the interval $$[1.5,2]$$ because there
velocity is negative and the person is walking in the “negative”
direction. In other words, the person walks 4.5 miles in the positive
direction, followed by two miles in the negative direction, and then 3
more miles in the positive direction. This affect of velocity being
negative is also seen in the graph of the function $$y=s(t)$$, which has a
negative slope (specifically, its slope is $$-4$$) on the interval
$$1.5<t<2$$ since the velocity is $$-4$$ on that interval, which shows the
person’s position function is decreasing due to the fact that she is
walking east, rather than west. On the intervals where she is walking
west, the velocity function is positive and the slope of the position
function $$s$$ is therefore also positive.
To summarize, we see that if velocity is sometimes negative, this makes
the moving object’s change in position different from its distance
traveled. By viewing the intervals on which velocity is positive and
negative separately, we may compute the distance traveled on each such
interval, and then depending on whether we desire total distance
traveled or total change in position, we may account for negative
velocities that account for negative change in position, while still
contributing positively to total distance traveled. We close this
section with one additional activity that further explores the effects
of negative velocity on the problem of finding change in position and
total distance traveled.
!!Summary
---
In this section, we encountered the following important ideas:
---
* If we know the velocity of a moving body at every point in a given interval and the velocity is positive throughout, we can estimate the object’s distance traveled and in some circumstances determine this value exactly.
* In particular, when velocity is positive on an interval, we can find the total distance traveled by finding the area under the velocity curve and above the $$t$$-axis on the given time interval. We may only be able to estimate this area, depending on the shape of the velocity curve.
* The antiderivative of a function $$f$$ is a new function $$F$$ whose derivative is $$f$$. That is, $$F$$ is an antiderivative of $$f$$ provided that $$F' = f$$. In the context of velocity and position, if we know a velocity function $$v$$, an antiderivative of $$v$$ is a position function $$s$$ that satisfies $$s' = v$$. If $$v$$ is positive on a given interval, say $$[a,b]$$, then the change in position, $$s(b) - s(a)$$, measures the distance the moving object traveled on $$[a,b]$$.
* In the setting where velocity is sometimes negative, this means that the object is sometimes traveling in the opposite direction (depending on whether velocity is positive or negative), and thus involves the object backtracking. To determine distance traveled, we have to think about the problem separately on intervals where velocity is positive and negative and account for the change in position on each such interval.
{{4.1.VelocityDistance(Ex)}}
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each sum written in sigma notation, write the sum long-hand and evaluate the sum to find its value. For each sum written in expanded form, write the sum in sigma notation.
''a)'' $$ \sum_{k=1}^{5} (k^2 + 2)$$
''b)'' $$ \sum_{i=3}^{6} (2i-1)$$
''c)'' $$ 3 + 7 + 11 + 15 + \cdots + 27$$
''d)'' $$ 4 + 8 + 16 + 32 \cdots + 256$$
''e)'' $$ \sum_{i=1}^{6} \frac{1}{2^i}$$
Observe that when $$k = 1$$, $$k^2 + 2 = 1^2 + 2 = 3$$. This is the first
term in the sum.
Note that this sum starts at $$i = 3$$.
Since the terms in the sum increase by 4, try a function $$f(k)$$ that
somehow involves $$4k$$.
What pattern do you observe in the terms of the sum?
Write every term in the sum as a fraction with denominator $$2^6 = 64$$.
Observe that when $$k = 1$$, $$k^2 + 2 = 1^2 + 2 = 3$$. This is the first
term in the sum. The last term in the sum occurs when $$k = 5$$, which is
$$5^2 + 2 = 27$$.
Note that this sum starts at $$i = 3$$ and the first term is
$$(2\cdot 3 - 1) = 5$$.
Since the terms in the sum increase by 4, try a function $$f(k)$$ that
somehow involves $$4k$$. You have freedom to decide where your index $$k$$
starts; try $$k = 1$$.
What pattern do you observe in the terms of the sum?
Write every term in the sum as a fraction with denominator $$2^6 = 64$$.
Observe that each term in the sum $$3 + 7 + 11 + 15 + \cdots + 27$$
differs from the previous term by 4. If we view $$4$$ as
$$4 = 4 \cdot 1 - 1$$ and $$7$$ as $$7 = 4 \cdot 2 - 1$$, we see that the
pattern may be represented through the function $$f(k) = 4k-1$$, so that
$$3 + 7 + 11 + 15 + \cdots + 27 = \sum_{k=1}^{7} 4k-1.$$
We note that $$k=7$$ is the end value of the index since
$$4 \cdot 7 = 28$$.
The sum $$4 + 8 + 16 + 32 + \cdots + 256$$ is a sum of powers of $$2$$,
which we can express in sigma notation as
$$4 + 8 + 16 + 32 + \cdots + 256 = \sum{i=2}^{8} 2^i.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that an object moving along a straight line path has its velocity in feet per second at time $$t$$ in seconds given by $$v(t) = \frac{2}{9}(t-3)^2 + 2$$.
''a)'' Carefully sketch the region whose exact area will tell you the value of
the distance the object traveled on the time interval $$2 \le t \le 5$$.
''b)'' Estimate the distance traveled on $$[2,5]$$ by computing $$L_4$$, $$R_4$$, and
$$M_4$$.
''c)'' Does averaging $$L_4$$ and $$R_4$$ result in the same value as $$M_4$$? If
not, what do you think the average of $$L_4$$ and $$R_4$$ measures?
''d)'' For this question, think about an arbitrary function $$f$$, rather than
the particular function $$v$$ given above. If $$f$$ is positive and
increasing on $$[a,b]$$, will $$L_n$$ over-estimate or under-estimate the
exact area under $$f$$ on $$[a,b]$$? Will $$R_n$$ over- or under-estimate the
exact area under $$f$$ on $$[a,b]$$? Explain.
Recall the formulas for $$L_n$$, $$R_n$$, and $$M_n$$.
Think about what the average of $$L_1$$ and $$R_1$$ measures.
Consider carefully the role of endpoints in generating $$L_n$$ and $$R_n$$.
Recall the formulas for $$L_n$$, $$R_n$$, and $$M_n$$.
Think about what the average of $$L_1$$ and $$R_1$$ measures.
Consider carefully the role of endpoints in generating $$L_n$$ and $$R_n$$
and what you know about the behavior of an always increasing function.
The region whose exact area tells us the value of the distance the
object traveled on the time interval $$2 \le t \le 5$$ is shown below.
![image](figures/4_2_Act2Soln.eps)
$$R_4 = \frac{335}{48} \approx 6.97917$$, and
$$M_4 = \frac{637}{96} \approx 6.63542$$.
The average of $$L_4$$ and $$R_4$$ is
$$\frac{L_4 + M_4}{2} = \frac{311+335}{96} = \frac{646}{96} \ne \frac{637}{96} = M_4.$$
This average actually measures what would result from using four
trapezoids, rather than rectangles, to estimate the area on each
subinterval. One reason this is so is because the area of a trapezoid is
the average of the bases times the width, and the “bases” are given by
the function values at the left and right endpoints.
If $$f$$ is positive and increasing on $$[a,b]$$, $$L_n$$ will under-estimate
the exact area under $$f$$ on $$[a,b]$$. Because $$f$$ is increasing, its
value at the left endpoint of any subinterval will be lower than every
other function value in the interval, and thus the rectangle with that
height lies exclusively below the curve. In a similar way, $$R_n$$
over-estimates the exact area under $$f$$ on $$[a,b]$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that an object moving along a straight line path has its velocity $$v$$ (in feet per second) at time $$t$$ (in seconds) given by
$$v(t) = \frac{1}{2}t^2 - 3t + \frac{7}{2}.$$
''a)'' Compute $$M_5$$, the middle Riemann sum, for $$v$$ on the time interval
$$[1,5]$$. Be sure to clearly identify the value of $$\triangle t$$ as well
as the locations of $$t_0$$, $$t_1$$, $$\cdots$$, $$t_5$$. In addition, provide
a careful sketch of the function and the corresponding rectangles that
are being used in the sum.
''b)'' Building on your work in (a), estimate the total change in position of
the object on the interval $$[1,5]$$.
''c)'' Building on your work in (a) and (b), estimate the total distance
traveled by the object on $$[1,5]$$.
''d)'' Use appropriate computing technology <<footnote [5] "For instance, consider the applet at
[`http://gvsu.edu/s/a9`](http://gvsu.edu/s/a9) and change the
function and adjust the locations of the blue points that represent
the interval endpoints $$a$$ and $$b$$.
">> to compute $$M_{10}$$ and
$$M_{20}$$. What exact value do you think the middle sum eventually
approaches as $$n$$ increases without bound? What does that number
represent in the physical context of the overall problem?
Note that $$\triangle t = \frac{5-1}{5}$$.
Change in position is tied to the net signed area bounded by the
velocity function.
Think about how total distance is different from change in position when
the velocity is sometimes negative.
Besides the noted applet, computer algebra systems such as ''Maple'' and
''Mathematica'' offer this utility.
Note that $$\triangle t = \frac{5-1}{5}$$, so, for example,
$$t_1 = 1 + \frac{4}{5} = 1.8$$.
Change in position is tied to the net signed area bounded by the
velocity function.
Think about how total distance is different from change in position when
the velocity is sometimes negative.
Besides the noted applet, computer algebra systems such as ''Maple'' and
''Mathematica'' offer this utility.
For this Riemann sum with five subintervals,
$$\triangle t = \frac{5-1}{5} = \frac{4}{5}$$, so $$t_0 = 1$$, $$t_1 = 1.8$$,
$$t_2 = 2.6$$, $$t_3 = 3.4$$, $$t_4 = 4.2$$ and $$t_5 = 4$$. It follows that
M~5~ & = & v(1.4) t + v(2.2) t + v(3.0) t + v(3.8) t + v(4.6)\
& = & - - 1 - +\
& = & - = -1.44
![image](figures/4_2_Act3Soln.eps)
Since the net signed area bounded by $$v$$ on $$[1,5]$$ represents the total
change in position of the object on the interval $$[1,5]$$, it follows
that $$M_5$$ estimates the total change in position. Hence, the change in
position is approximately $$-1.44$$ feet.
To estimate the total distance traveled by the object on $$[1,5]$$, we
have to calculate the total area between the curve and the $$t$$-axis.
Thus,
$$D \approx \frac{7}{25} \cdot \frac{4}{5} + \frac{17}{25} \cdot \frac{4}{5} + 1 \cdot \frac{4}{5} + \frac{17}{25} \cdot \frac{4}{5} + \frac{7}{25} \cdot \frac{4}{5} = \frac{292}{125} \approx 2.336.$$
Using appropriate technology, $$M_{10} = -1.36$$ and $$M_{20} = -1.34$$.
Further calculations suggest that
$$M_n \to -\frac{4}{3} = -1.\overline{33}$$ as $$n \to \infty$$, and this
number represents the object’s total change in position on $$[1,5]$$.
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
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A person walking along a straight path has her velocity in miles per
hour at time $$t$$ given by the function $$v(t) = 0.25t^3-1.5t^2+3t+0.25$$,
for times in the interval $$0 \le t \le 2$$. The graph of this function is
also given in each of the three diagrams in <<figreference 4_2_PA1.svg>>.
Note that in each diagram, we use four rectangles to estimate the area
under $$y = v(t)$$ on the interval $$[0,2]$$, but the method by which the
four rectangles’ respective heights are decided varies among the three
individual graphs.
''a)'' How are the heights of rectangles in the left-most diagram being chosen?
Explain, and hence determine the value of
$$S = A_1 + A_2 + A_3 + A_4$$
by evaluating the function $$y = v(t)$$ at appropriately chosen values and
observing the width of each rectangle. Note, for example, that
$$A_3 = v(1) \cdot \frac{1}{2} = 2 \cdot \frac{1}{2} = 1.$$
''b)'' Explain how the heights of rectangles are being chosen in the middle
diagram and find the value of
$$T = B_1 + B_2 + B_3 + B_4.$$
''c)'' Likewise, determine the pattern of how heights of rectangles are chosen
in the right-most diagram and determine
$$U = C_1 + C_2 + C_3 + C_4.$$
''d)'' Of the estimates $$S$$, $$T$$, and $$U$$, which do you think is the best
approximation of $$D$$, the total distance the person traveled on $$[0,2]$$?
Why?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the function $$f(x) = 3x + 4$$.
''a)'' Compute $$M_4$$ for $$y=f(x)$$ on the interval $$[2,5]$$. Be sure to clearly
identify the value of $$\triangle x$$, as well as the locations of
$$x_0, x_1, \ldots, x_4$$. Include a careful sketch of the function and
the corresponding rectangles being used in the sum.
''b)'' Use a familiar geometric formula to determine the exact value of the
area of the region bounded by $$y = f(x)$$ and the $$x$$-axis on $$[2,5]$$.
''c)'' Explain why the values you computed in (a) and (b) turn out to be the
same. Will this be true if we use a number different than $$n = 4$$ and
compute $$M_n$$? Will $$L_4$$ or $$R_4$$ have the same value as the exact area
of the region found in (b)?
''d)'' Describe the collection of functions $$g$$ for which it will always be the
case that $$M_n$$, regardless of the value of $$n$$, gives the exact net
signed area bounded between the function $$g$$ and the $$x$$-axis on the
interval $$[a,b]$$.
''2.'' Let $$S$$ be the sum given by
$$S = ((1.4)^2 + 1) \cdot 0.4 + ((1.8)^2 + 1) \cdot 0.4 + ((2.2)^2 + 1) \cdot 0.4...$$ $$... + ((2.6)^2 + 1) \cdot 0.4 +((3.0)^2 + 1) \cdot 0.4.$$
''a)'' Assume that $$S$$ is a right Riemann sum. For what function $$f$$ and what
interval $$[a,b]$$ is $$S$$ an approximation of the area under $$f$$ and above
the $$x$$-axis on $$[a,b]$$? Why?
''b)'' How does your answer to (a) change if $$S$$ is a left Riemann sum? a
middle Riemann sum?
''c)'' Suppose that $$S$$ really is a right Riemann sum. What is geometric
quantity does $$S$$ approximate?
''d)'' Use sigma notation to write a new sum $$R$$ that is the right Riemann sum
for the same function, but that uses twice as many subintervals as $$S$$.
''3.'' A car traveling along a straight road is braking and its velocity is
measured at several different points in time, as given in the following
table.
[img width=100% [4.2.Ex.table]]
''a)'' Plot the given data on a set of axes with time on the horizontal axis
and the velocity on the vertical axis.
''b)'' Estimate the total distance traveled during the car the time brakes
using a middle Riemann sum with 3 subintervals.
''c)'' Estimate the total distance traveled on $$[0,1.8]$$ by computing $$L_6$$,
$$R_6$$, and $$\frac{1}{2}(L_6 + R_6)$$.
''d)'' Assuming that $$v(t)$$ is always decreasing on $$[0,1.8]$$, what is the
maximum possible distance the car traveled before it stopped? Why?
''4.'' The rate at which pollution escapes a scrubbing process at a
manufacturing plant increases over time as filters and other
technologies become less effective. For this particular example, assume
that the rate of pollution (in tons per week) is given by the function
$$r$$ that is pictured in <<figreference 4_2_Ez4.svg>>.
''a)'' Use the graph to estimate the value of $$M_4$$ on the interval $$[0,4]$$.
''b)'' What is the meaning of $$M_4$$ in terms of the pollution discharged by the
plant?
''c)'' Suppose that $$r(t) = 0.5 e^{0.5t}$$. Use this formula for $$r$$ to compute
$$L_5$$ on $$[0,4]$$.
''d)'' Determine an upper bound on the total amount of pollution that can
escape the plant during the pictured four week time period that is
accurate within an error of at most one ton of pollution.
How can we use a Riemann sum to estimate the area between a given curve
and the horizontal axis over a particular interval?
What are the differences among left, right, middle, and random Riemann
sums?
What is sigma notation and how does this enable us to write Riemann sums
in an abbreviated form?
In <<reference 4.1.VelocityDistance>>, we learned that if we have a moving
object with velocity function $$v$$, whenever $$v(t)$$ is positive, the area
between $$y = v(t)$$ and the $$t$$-axis over a given time interval tells us
the distance traveled by the object over that time period; in addition,
if $$v(t)$$ is sometimes negative and we view the area of any region below
the $$t$$-axis as having an associated negative sign, then the sum of
these signed areas over a given interval tells us the moving object’s
change in position over the time interval.
For instance, for the velocity function given in <<figreference 4_2_Intro.svg>>,
if the areas of shaded regions are $$A_1$$, $$A_2$$, and $$A_3$$ as labeled,
then the total distance $$D$$ traveled by the moving object on $$[a,b]$$ is
while the total change in the object’s position on $$[a,b]$$ is
$$s(b) - s(a) = A_1 - A_2 + A_3.$$
Because the motion is in the negative direction on the interval where
$$v(t) < 0$$, we subtract $$A_2$$ when determining the object’s total change
in position.
Of course, finding $$D$$ and $$s(b)-s(a)$$ for the situation given in
<<figreference 4_2_Intro.svg>> presumes that we can actually find the areas
represented by $$A_1$$, $$A_2$$, and $$A_3$$. In most of our work in
Section <<reference 4.1.VelocityDistance>>, such as in <<reference 4.1.Act2>>
and <<reference 4.1.Act3>>, we worked with velocity functions that were either
constant or linear, so that by finding the areas of rectangles and
triangles, we could find the area bounded by the velocity function and
the horizontal axis exactly. But when the curve that bounds a region is
not one for which we have a known formula for area, we are unable to
find this area exactly. Indeed, this is one of our biggest goals in
<<reference [[Chapter 4]]>>: to learn how to find the exact area bounded between a
curve and the horizontal axis for as many different types of functions
as possible.
To begin, we expand on the ideas in <<reference 4.1.Act1>>, where we
encountered a nonlinear velocity function and approximated the area
under the curve using four and eight rectangles, respectively. In the
following preview activity, we focus on three different options for
deciding how to find the heights of the rectangles we will use.
It is apparent from several different problems we have considered that
sums of areas of rectangles is one of the main ways to approximate the
area under a curve over a given interval. Intuitively, we expect that
using a larger number of thinner rectangles will provide a way to
improve the estimates we are computing. As such, we anticipate dealing
with sums with a large number of terms. To do so, we introduce the use
of so-called ''sigma notation'', named for the Greek letter $$\Sigma$$,
which is the capital letter $$S$$ in the Greek alphabet.
For example, say we are interested in the sum
$$1 + 2 + 3 + \cdots + 100,$$
which is the sum of the first 100 natural numbers. Sigma notation
provides a shorthand notation that recognizes the general pattern in the
terms of the sum. It is equivalent to write
$$\sum_{k=1}^{100} k = 1 + 2 + 3 + \cdots + 100.$$
We read the symbol $$\sum_{k=1}^{100} k$$ as “the sum from $$k$$ equals
1 to 100 of $$k$$.” The variable $$k$$ is usually called the index of
summation, and the letter that is used for this variable is immaterial.
Each sum in sigma notation involves a function of the index; for
example,
$$\sum_{k=1}^{10} (k^2 + 2k) = (1^2 + 2\cdot 1) + (2^2 + 2\cdot 2) + (3^2 + 2\cdot 3) + \cdots + (10^2 + 2\cdot 10),$$
$$\sum_{k=1}^n f(k) = f(1) + f(2) + \cdots + f(n).$$
Sigma notation allows us the flexibility to easily vary the function
being used to track the pattern in the sum, as well as to adjust the
number of terms in the sum simply by changing the value of $$n$$. We test
our understanding of this new notation in the following activity.
When a moving body has a positive velocity function $$y = v(t)$$ on a
given interval $$[a,b]$$, we know that the area under the curve over the
interval is the total distance the body travels on $$[a,b]$$. While this
is the fundamental motivating force behind our interest in the area
bounded by a function, we are also interested more generally in being
able to find the exact area bounded by $$y = f(x)$$ on an interval
$$[a,b]$$, regardless of the meaning or context of the function $$f$$. For
now, we continue to focus on determining an accurate estimate of this
area through the use of a sum of the areas of rectangles, doing so in
the setting where $$f(x) \ge 0$$ on $$[a,b]$$. Throughout, unless otherwise
indicated, we also assume that $$f$$ is continuous on $$[a,b]$$.
The first choice we make in any such approximation is the number of
rectangles.
<<figure 4_2_Interval.svg>>
If we say that the total number of rectangles is $$n$$, and we desire $$n$$
rectangles of equal width to subdivide the interval $$[a,b]$$, then each
rectangle must have width $$\triangle x = \frac{b-a}{n}$$. We observe
further that $$x_1 = x_0 + \triangle x$$, $$x_2 = x_0 + 2 \triangle x$$, and
thus in general $$x_{i} = a + i\triangle x,$$ as pictured in
<<figreference 4_2_Interval.svg>>.
We use each subinterval $$[x_i, x_{i+1}]$$ as the base of a rectangle, and
next must choose how to decide the height of the rectangle that will be
used to approximate the area under $$y = f(x)$$ on the subinterval. There
are three standard choices: use the left endpoint of each subinterval,
the right endpoint of each subinterval, or the midpoint of each. These
are precisely the options encountered in <<reference 4.2.PA1>> and
seen in <<figreference 4_2_PA1.svg>>. We next explore how these choices can be
reflected in sigma notation.
If we now consider an arbitrary positive function $$f$$ on $$[a,b]$$ with
the interval subdivided as shown in <<figreference 4_2_Interval.svg>>, and choose
to use left endpoints, then on each interval of the form
$$[x_{i}, x_{i+1}]$$, the area of the rectangle formed is given by
$$A_{i+1} = f(x_i) \cdot \triangle x,$$
as seen in <<figreference 4_2_LeftSum.svg>>
<<figure 4_2_LeftSum.svg>>
If we let $$L_n$$ denote the sum of the areas of rectangles whose heights
are given by the function value at each respective left endpoint, then
we see that
<center>
<table class="equationtable">
<tr><td> $$ L_n$$
</td><td>= $$A_1 + A_2 +...+ A_{i+1}~ + + A_{n}~$$ </td></tr>
<tr><td></td><td>= $$ f(x_0) x + f(x_1) x + + f(x_i) x + + f(x_{n-1}) x.$$
In the more compact sigma notation, we have
$$L_n = \sum_{i = 0}^{n-1} f(x_i) \triangle x.$$
Note particularly that since the index of summation begins at $$0$$ and
ends at $$n-1$$, there are indeed $$n$$ terms in this sum. We call $$L_n$$ the
''left Riemann sum'' for the function $$f$$ on the interval $$[a,b]$$.
There are now two fundamental issues to explore: the number of
rectangles we choose to use and the selection of the pattern by which we
identify the height of each rectangle. It is best to explore these
choices dynamically, and the applet <<footnote "[4]" "Marc Renault, Geogebra Calculus Applets.">> found at
http://gvsu.edu/s/a9 is a particularly useful
one. There we see
<<figure 4_2_RenaultApplet.svg>>
the image shown in <<figreference 4_2_RenaultAppletRS2.jpg>>, but with the
opportunity to adjust the slider bars for the left endpoint and the
number of subintervals. By moving the sliders, we can see how the
heights of the rectangles change as we consider left endpoints,
midpoints, and right endpoints, as well as the impact that a larger
number of narrower rectangles has on the approximation of the exact area
bounded by the function and the horizontal axis.
To see how the Riemann sums for right endpoints and midpoints are
constructed, we consider Figure <<figreference 4_2_RightMidSum.svg>>.
<<figure 4_2_RightMidSum.svg>>
For the sum with right endpoints, we see that the area of the rectangle
on an arbitrary interval $$[x_i, x_{i+1}]$$ is given by
$$B_{i+1} = f(x_{i+1}) \cdot \triangle x,$$ so that the sum of all such areas of rectangles is given by
<center>
<table class="equationtable">
<tr><td>$$R_n$$
</td><td>= $$B_1 + B_2 +... + B_{i+1} +... + B_n$$ </td></tr>
<tr><td></td><td>= $$ f(x_1) x + f(x_2) x + ...+ f(x_{i+1}) x +... + f(x_n) x$$
</td></tr>
<tr><td></td><td>= $$\sum =1^n f(x_i) x.$$
</td></tr>
We call $$R_n$$ the ''right Riemann sum'' for the function $$f$$ on the
interval $$[a,b]$$. For the sum that uses midpoints, we introduce the
notation
$$\overline{x}_{i+1} = \frac{x_{i} + x_{i+1}}{2}$$
so that $$\overline{x}_{i+1}$$ is the midpoint of the interval
$$[x_i, x_{i+1}]$$. For instance, for the rectangle with area $$C_1$$ in
<<figreference 4_2_RightMidSum.svg>>, we now have
$$C_1 = f(\overline{x}_1) \cdot \triangle x.$$
Hence, the sum of all the areas of rectangles that use midpoints is
<center>
<table class="equationtable">
<tr><td> $$M_n $$
</td><td>= $$ C_1 + C_2 + ...+ C_{i+1} +... + C_n$$ </td></tr>
<tr><td></td><td>= $$ f() x + f() x + ...+ f(_{i+1}) x +... + f(_n) x$$
</td></tr>
<tr><td></td><td>= $$\sum f(_i) x$$
</td></tr>
and we say that $$M_n$$ is the ''middle Riemann sum'' for $$f$$ on $$[a,b]$$.
When $$f(x) \ge 0$$ on $$[a,b]$$, each of the Riemann sums $$L_n$$, $$R_n$$, and
$$M_n$$ provides an estimate of the area under the curve $$y = f(x)$$ over
the interval $$[a,b]$$; momentarily, we will discuss the meaning of
Riemann sums in the setting when $$f$$ is sometimes negative. We also
recall that in the context of a nonnegative velocity function
$$y = v(t)$$, the corresponding Riemann sums are approximating the
distance traveled on $$[a,b]$$ by the moving object with velocity function
$$v$$.
There is a more general way to think of Riemann sums, and that is to not
restrict the choice of where the function is evaluated to determine the
respective rectangle heights. That is, rather than saying we’ll always
choose left endpoints, or always choose midpoints, we simply say that a
point $$x_{i+1}^{\prime\prime}$$ will be selected at random in the interval
$$[x_i, x_{i+1}]$$ (so that $$x_i \le x_{i+1}^{\prime\prime} \le x_{i+1}$$), which makes
the Riemann sum given by
$$f(x_1^{\prime\prime}) \cdot \triangle x + f(x_2^{\prime\prime}) \cdot \triangle x + \cdots + f(x_{i+1}^{\prime\prime}) \cdot \triangle x + \cdots + f(x_n^{\prime\prime}) \cdot \triangle x$$ = $$\sum_{i=1}^{n} f(x_i^{\prime\prime}) \triangle x.$$
At http://gvsu.edu/s/a9, the applet noted
earlier and referenced in <<figreference 4_2_RenaultAppletRS2.jpg>>, by unchecking
the “relative” box at the top left, and instead checking “random,” we
can easily explore the effect of using random point locations in
subintervals on a given Riemann sum. In computational practice, we most
often use $$L_n$$, $$R_n$$, or $$M_n$$, while the random Riemann sum is useful
in theoretical discussions. In the following activity, we investigate
several different Riemann sums for a particular velocity function.
!!When the function is sometimes negative
For a Riemann sum such as
$$L_n = \sum_{i=0}^{n-1} f(x_i) \triangle x,$$
we can of course compute the sum even when $$f$$ takes on negative values.
We know that when $$f$$ is positive on $$[a,b]$$, the corresponding left
Riemann sum $$L_n$$ estimates the area bounded by $$f$$ and the horizontal
axis over the interval.
For a function such as the one pictured in <<figreference 4_2_NegF.svg>>, where in
the first figure a left Riemann sum is being taken with 12 subintervals
over $$[a,d]$$, we observe that the function is negative on the interval
$$b \le x \le c$$, and so for the four left endpoints that fall in
$$[b,c]$$, the terms $$f(x_i) \triangle x$$ have negative function values.
This means that those four terms in the Riemann sum produce an estimate
of the ''opposite'' of the area bounded by $$y = f(x)$$ and the $$x$$-axis on
$$[b,c]$$.
In <<figreference 4_2_NegF.svg>>, we also see evidence that by increasing the
number of rectangles used in a Riemann sum, it appears that the
approximation of the area (or the opposite of the area) bounded by a
curve appears to improve. For instance, in the middle graph, we use 24
left rectangles, and from the shaded areas, it appears that we have
decreased the error from the approximation that uses 12. When we proceed
to <<reference 4.3.DefiniteIntegral>>, we will discuss the natural idea of
letting the number of rectangles in the sum increase without bound.
For now, it is most important for us to observe that, in general, any
Riemann sum of a continuous function $$f$$ on an interval $$[a,b]$$
approximates the difference between the area that lies above the
horizontal axis on $$[a,b]$$ and under $$f$$ and the area that lies below
the horizontal axis on $$[a,b]$$ and above $$f$$. In the notation of
<<figreference 4_2_NegF.svg>>, we may say that
$$L_{24} \approx A_1 - A_2 + A_3,$$
where $$L_{24}$$ is the left Riemann sum using 24 subintervals shown in
the middle graph, and $$A_1$$ and $$A_3$$ are the areas of the regions where
$$f$$ is positive on the interval of interest, while $$A_2$$ is the area of
the region where $$f$$ is negative. We will also call the quantity
$$A_1 - A_2 + A_3$$ the ''net signed area'' bounded by $$f$$ over the interval
$$[a,d]$$, where by the phrase “signed area” we indicate that we are
attaching a minus sign to the areas of regions that fall below the
horizontal axis.
Finally, we recall from the introduction to this present section that in
the context where the function $$f$$ represents the velocity of a moving
object, the total sum of the areas bounded by the curve tells us the
total distance traveled over the relevant time interval, while the total
net signed area bounded by the curve computes the object’s change in
position on the interval.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A Riemann sum is simply a sum of products of the form $$fx_i^{\prime\prime} \triangle x$$ that estimates the area between a positive function and the horizontal axis over a given interval. If the function is sometimes negative on the interval, the Riemann sum estimates the difference between the areas that lie above the horizontal axis and those that lie below the axis.
* The three most common types of Riemann sums are left, right, and middle sums, plus we can also work with a more general, random Riemann sum. The only difference among these sums is the location of the point at which the function is evaluated to determine the height of the rectangle whose area is being computed in the sum. For a left Riemann sum, we evaluate the function at the left endpoint of each subinterval, while for right and middle sums, we use right endpoints and midpoints, respectively.
* The left, right, and middle Riemann sums are denoted $$L_n$$, $$R_n$$, and
$$M_n$$, with formulas
$$L_n = f(x_0) \triangle x + f(x_1) \triangle x + \cdots + f(x_{n-1}) \triangle x = \sum_{i = 0}^{n-1} f(x_i) \triangle x,$$
$$R_n = f(x_1) \triangle x + f(x_2) \triangle x + \cdots + f(x_{n}) \triangle x = \sum_{i = 1}^{n} f(x_i) \triangle x,$$
$$M_n = f(\overline{x}_1) \triangle x + f(\overline{x}_2) \triangle x + \cdots + f(\overline{x}_{n}) \triangle x = \sum_{i = 1}^{n} f(\overline{x}_i) \triangle x,$$
where $$x_0 = a$$, $$x_i = a + i\triangle x$$, and $$x_n = b$$, using
$$\triangle x = \frac{b-a}{n}$$. For the midpoint sum,
$$\overline{x}_{i} = (x_{i-1} + x_i)/2$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use known geometric formulas and the net signed area interpretation of the definite integral to evaluate each of the definite integrals below.
''a)'' $$\int_0^1 3x \, dx$$
''b)'' $$\int_{-1}^4 (2-2x) \, dx$$
''c)'' $$\int_{-1}^1 \sqrt{1-x^2} \, dx$$
''d)'' $$\int_{-3}^4 g(x) \, dx$$, where $$g$$ is the function pictured in
Figure [F:4.3.Act1]. Assume that each portion of $$g$$ is either part of a
line or part of a circle.
Sketch the region bounded by $$y = 3x$$ and the $$x$$-axis on $$[0,1]$$.
Sketch the region bounded by $$y = 2-2x$$ and the $$x$$-axis on $$[-1,4]$$.
Observe that $$y = \sqrt{1-x^2}$$ is the top half the circle whose
equation is $$x^2 + y^2 = 1$$.
Use known formulas for the area of a triangle, square, or circle
appropriately.
Sketch the region bounded by $$y = 3x$$ and the $$x$$-axis on $$[0,1]$$ and
observe that it forms a familiar geometric shape.
Sketch the region bounded by $$y = 2-2x$$ and the $$x$$-axis on $$[-1,4]$$;
think carefully about the role of signed area in determining the value
of the integral, and subdivide the problem by considering regions on
which the curve is positive and negative.
Observe that $$y = \sqrt{1-x^2}$$ is the top half the circle whose
equation is $$x^2 + y^2 = 1$$.
Use known formulas for the area of a triangle, square, or circle
appropriately. Keep in mind the role of signed area when dealing with
the portions of the region that lie below the $$x$$-axis.
Because $$y = 3x$$ and the $$x$$-axis bound a triangle with base of length 1
and height $$3$$ on the interval $$[0,1]$$, it follows that
$$\int_0^1 3x \, dx = \frac{1}{2} \cdot 1 \cdot 3 = \frac{3}{2}.$$
For $$\int_{-1}^4 (2-2x) \, dx$$, we first sketch the region bounded
by the function, as shown below.
![image](figures/4_3_Act1bSoln.eps)
The line creates two triangles, one with area
$$A_1 = \frac{1}{2} \cdot 2 \cdot 4 = 4$$ and the other with area
$$A_2 = \frac{1}{2} \cdot 3 \cdot 6 = 9$$. Since the latter area
corresponds to a region below the $$x$$-axis, we associate a negative sign
to it, and hence find that
$$\int_{-1}^4 (2-2x) \, dx = A_1 - A_2 = 4 - 9 = -5.$$
For $$\int_{-1}^1 \sqrt{1-x^2} \, dx$$, we simply observe that this
function is the top half of a circle of radius 1, and thus the bounded
region is a semicircle of radius 1, thus having an area of
$$\frac{\pi}{2}$$. Therefore,
$$\int_{-1}^1 \sqrt{1-x^2} \, dx = \frac{\pi}{2}.$$
Finally, for $$\int_{-3}^4 g(x) \, dx$$, where $$g$$ is the function
pictured in Figure [F:4.3.Act1], we consider the function on seven
consecutive subintervals of length 1. Observe that on $$[-3,-2]$$, the
bounded area is $$\frac{1}{2}$$. On $$[-2,-1]$$, the area is
$$\frac{1}{4} \pi$$. Similarly, on the next five subintervals of length 1,
the areas bounded are respectively $$\frac{1}{2}$$, $$1$$, $$\frac{1}{2}$$,
$$\frac{1}{4} \pi$$, and $$\frac{1}{4} \pi$$. Thus, the value of the
integral is
$$\int_{-3}^4 g(x) \, dx = \frac{1}{2} + \frac{\pi}{4} - \frac{1}{2} - 1 - \frac{1}{2} + \frac{\pi}{4} + \frac{\pi}{4} = \frac{3\pi}{4} - \frac{3}{2},$$
which is approximately 0.8562.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that the following information is known about the functions $$f$$, $$g$$, $$x^2$$, and $$x^3$$:
''o'' $$\int_0^2 f(x) \, dx = -3$$; $$\int_2^5 f(x) \, dx = 2$$
''o'' $$\int_0^2 g(x) \, dx = 4$$; $$\int_2^5 g(x) \, dx = -1$$
''o'' $$\int_0^2 x^2 \, dx = \frac{8}{3}$$; $$\int_2^5 x^2 \, dx = \frac{117}{3}$$
''o'' $$\int_0^2 x^3 \, dx = 4$$; $$\int_2^5 x^3 \, dx = \frac{609}{4} $$
Use the provided information and the rules discussed in the preceding
section to evaluate each of the following definite integrals.
''a)'' $$\int_5^2 f(x) \, dx$$
''b)'' $$\int_0^5 g(x) \, dx$$
''c)'' $$\int_0^5 (f(x) + g(x))\, dx$$
''d)'' $$\int_2^5 (3x^2 - 4x^3) \, dx$$
''e)'' $$\int_5^0 (2x^3 - 7g(x)) \, dx$$
Note that the value of $$\int_2^5 f(x) \, dx$$ is given.
Use the values of $$\int_0^2 g(x) \,dx$$ and $$\int_2^5 g(x) \,dx$$.
First find $$\int_0^5 f(x) \, dx$$ and $$\int_0^5 g(x) \, dx$$.
Use the sum and constant multiple rules.
First write
$$\int_5^0 (2x^3 - 7g(x)) \, dx = -\int_0^5 (2x^3 - 7g(x)) \, dx$$.
Note that the value of $$\int_2^5 f(x) \, dx$$ is given.
Use the values of $$\int_0^2 g(x) \,dx$$ and $$\int_2^5 g(x) \,dx$$.
First find $$\int_0^5 f(x) \, dx$$ and $$\int_0^5 g(x) \, dx$$; then use the
sum rule.
Use the sum and constant multiple rules. Observe that
$$\int_2^5 (3x^2 - 4x^3) \, dx = 3\int_2^5 x^2 \, dx - 4\int_2^5 x^3 \, dx.$$
First write
$$\int_5^0 (2x^3 - 7g(x)) \, dx = -\int_0^5 (2x^3 - 7g(x)) \, dx$$. Then
use the sum and constant multiple rules.
Note that the value of $$\int_2^5 f(x) \, dx$$ is given, and thus
$$\int_5^2 f(x) \,dx = -\int_2^5 f(x) \, dx = -2.$$
Since $$\int_0^2 g(x) \,dx = 4$$ and $$\int_2^5 g(x) \,dx = -1$$, we have
$$\int_0^5 g(x) \,dx = \int_0^2 g(x) \,dx + \int_2^5 g(x) \,dx = 4 + (-1) = 3.$$
First, using work from and similar to that in (c), we find
$$\int_0^5 f(x) \, dx = -3 + 2 = -1$$ and $$\int_0^5 g(x) \, dx = 3$$, thus
by the sum rule,
$$\int_0^5 (f(x) + g(x))\, dx = \int_0^5 f(x)\, dx + \int_0^5 g(x)\, dx = -1 + 3 = 2.$$
By the sum and constant multiple rules,
$$\int_2^5 (3x^2 - 4x^3) \, dx = 3\int_2^5 x^2 \, dx - 4\int_2^5 x^3 \, dx = 3 \cdot \frac{8}{3} - 4 \frac{609}{4} = 8 - 609 = -608.$$
First, we write
$$\int_5^0 (2x^3 - 7g(x)) \, dx = -\int_0^5 (2x^3 - 7g(x)) \, dx$$. Then,
using the sum and constant multiple rules, it follows
~5~^0^ (2x^3^ - 7g(x)) dx & = & -~0~^5^ (2x^3^ - 7g(x)) dx\
& = & -(2 ~0~^5^ x^3^ dx - 7 ~0~^5^ g(x) dx )\
& = & -2 ( + ) + 7 (4 + (-1)))\
& = & - + 21\
& = & -.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$v(t) = \sqrt{4-(t-2)^2}$$ tells us the instantaneous velocity of a moving object on the interval $$0 \le t \le 4$$, where $$t$$ is measured in minutes and $$v$$ is measured in meters per minute.
''a)'' Sketch an accurate graph of $$y = v(t)$$. What kind of curve is
$$y = \sqrt{4-(t-2)^2}$$?
''b)'' Evaluate $$\int_0^4 v(t) \, dt$$ exactly.
''c)'' In terms of the physical problem of the moving object with velocity
$$v(t)$$, what is the meaning of $$\int_0^4 v(t) \, dt$$? Include units on
your answer.
''d)'' Determine the exact average value of $$v(t)$$ on $$[0,4]$$. Include units on
your answer.
''e)'' Sketch a rectangle whose base is the line segment from $$t=0$$ to $$t = 4$$
on the $$t$$-axis such that the rectangle’s area is equal to the value of
$$\int_0^4 v(t) \, dt$$. What is the rectangle’s exact height?
''f)'' How can you use the average value you found in (d) to compute the total
distance traveled by the moving object over $$[0,4]$$?
Note that $$y = \sqrt{4-(t-2)^2}$$ is part of the curve given by
$$(t-2)^2 + y^2 = 4$$.
What familiar shape is generated by the curve $$y = v(t)$$?
Recall the meaning of the area bounded by a nonnegative velocity
function on a given interval.
From the meaning of the average value of a function, we know
$$v_{{\tiny{AVG}}}[a,b] = \frac{1}{b-a} \int_a^b v(t) \, dt$$.
Consider a key recent figure in the text.
Distance equals average rate times $$\ldots$$.
Note that $$y = \sqrt{4-(t-2)^2}$$ is the top half of the curve given by
$$(t-2)^2 + y^2 = 4$$, which is a familiar one.
What familiar shape is generated by the curve $$y = v(t)$$? What known
formula for area helps?
Recall the meaning of the area bounded by a nonnegative velocity
function on a given interval. See, for instance,
Section [S:4.1.VelocityDistance].
From the meaning of the average value of a function, we know
$$v_{{\tiny{AVG}}}[a,b] = \frac{1}{b-a} \int_a^b v(t) \, dt$$. What
are $$a$$ and $$b$$ in this problem?
Consider a key recent figure in the text and construct a similar drawing
for the given function $$v$$.
Distance equals average rate times time!
The curve $$y = v(t) = \sqrt{4-(t-2)^2}$$ is the top half of the circle
$$(t-2)^2 + y^2 = 4$$, which has radius 2 and is centered at $$(2,0)$$.
Thus, the value of $$\int_0^4 v(t) \, dt$$ is the area of a semicircle of
radius 2, which is $$\frac{1}{2} \pi (2)^2 = 2\pi$$.
Because the velocity $$v(t)$$ is always nonnegative in this problem, the
meaning of $$\int_0^4 v(t) \, dt = 2\pi$$ is both the distance traveled
and the change in position of the object on the interval
$$0 \le t \le \pi$$. Specifically, the object moved $$2 \pi$$ meters in 4
minutes.
We know
$$v_{{\tiny{AVG}}}[a,b] = \frac{1}{b-a} \int_a^b v(t) \, dt$$, so
$$v_{{\tiny{AVG}}}[0,4] = \frac{1}{4-0} \int_0^4 \sqrt{4-(t-2)^2} \, dt = \frac{1}{4} 2\pi = \frac{\pi}{2},$$
which is measured in meters per minute, since the units on “4” are
minutes and on “$$2\pi$$” are meters.
Constructing a figure similar to those shown in this section on the
topic of average value of a function, we find the following, which
demonstrates a rectangle having the same area as the semicircle.
![image](figures/4_3_Act3Soln.eps)
The height of the rectangle is the average value of $$v$$, specifically
$$v_{{\tiny{AVG}}}[0,4] = \frac{\pi}{2} \approx 1.57$$.
Knowing that average velocity is $$\frac{\pi}{2}$$, it follows from the
fact that distance traveled equals average rate times time (provided
velocity is always nonnegative), we have
$$D = \frac{\pi}{2} \cdot 4 = 2\pi.$$
We see from (c) or (f) that we are simply considering the situation from
two different perspectives: if we know the distance traveled, we can
find average velocity, or if we know average velocity, we can find
distance traveled.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
The velocity of an object moving along an axis is given by the piecewise
linear function $$v$$ that is pictured in
''1.'' <<figreference 4_3_Ez1.svg>>. Assume that the object is moving to the right when
its velocity is positive, and moving to the left when its velocity is
negative. Assume that the given velocity function is valid for $$t = 0$$
to $$t = 4$$.
Write an expression involving definite integrals whose value is the
total change in position of the object on the interval $$[0,4]$$.
Use the provided graph of $$v$$ to determine the value of the total change
in position on $$[0,4]$$.
Write an expression involving definite integrals whose value is the
total distance traveled by the object on $$[0,4]$$. What is the exact
value of the total distance traveled on $$[0,4]$$?
What is the object’s exact average velocity on $$[0,4]$$?
Find an algebraic formula for the object’s position function on
$$[0, 1.5]$$ that satisfies $$s(0) = 0$$.
''2.'' Suppose that the velocity of a moving object is given by
$$v(t) = t(t-1)(t-3)$$, measured in feet per second, and that this
function is valid for $$0 \le t \le 4$$.
Write an expression involving definite integrals whose value is the
total change in position of the object on the interval $$[0,4]$$.
Use appropriate technology (such as
[`http://gvsu.edu/s/a9`](http://gvsu.edu/s/av)[^1]) to compute Riemann
sums to estimate the object’s total change in position on $$[0,4]$$. Work
to ensure that your estimate is accurate to two decimal places, and
explain how you know this to be the case.
[^1]: Marc Renault, Shippensburg University.
Write an expression involving definite integrals whose value is the
total distance traveled by the object on $$[0,4]$$.
Use appropriate technology to compute Riemann sums to estimate the
object’s total distance travelled on $$[0,4]$$. Work to ensure that your
estimate is accurate to two decimal places, and explain how you know
this to be the case.
What is the object’s average velocity on $$[0,4]$$, accurate to two
decimal places?
''3.'' Consider the graphs of two functions $$f$$ and $$g$$ that are provided in
<<figreference 4_3_Ez2.svg>>. Each piece of $$f$$ and $$g$$ is either part of a
straight line or part of a circle.
Determine the exact value of $$\int_0^1 [f(x) + g(x)]\,dx$$.
Determine the exact value of $$\int_1^4 [2f(x) - 3g(x)] \, dx$$.
Find the exact average value of $$h(x) = g(x) - f(x)$$ on $$[0,4]$$.
For what constant $$c$$ does the following equation hold?
$$\int_0^4 c \, dx = \int_0^4 [f(x) + g(x)] \, dx$$
''4.'' Let $$f(x) = 3 - x^2$$ and $$g(x) = 2x^2$$.
''a)'' On the interval $$[-1,1]$$, sketch a labeled graph of $$y = f(x)$$ and write
a definite integral whose value is the exact area bounded by $$y = f(x)$$
on $$[-1,1]$$.
''b)'' On the interval $$[-1,1]$$, sketch a labeled graph of $$y = g(x)$$ and write
a definite integral whose value is the exact area bounded by $$y = g(x)$$
on $$[-1,1]$$.
''c)'' Write an expression involving a difference of definite integrals whose
value is the exact area that lies between $$y = f(x)$$ and $$y = g(x)$$ on
$$[-1,1]$$.
''d)'' Explain why your expression in (c) has the same value as the single
integral $$\int_{-1}^1 [f(x) - g(x)] \, dx$$.
''e)'' Explain why, in general, if $$p(x) \ge q(x)$$ for all $$x$$ in $$[a,b]$$, the
exact area between $$y = p(x)$$ and $$y = q(x)$$ is given by
$$\int_a^b [p(x) - q(x)] \, dx.$$
How does increasing the number of subintervals affect the accuracy of
the approximation generated by a Riemann sum?
What is the definition of the definite integral of a function $$f$$ over
the interval $$[a,b]$$?
What does the definite integral measure exactly, and what are some of
the key properties of the definite integral?
In <<figreference 4_2_NegF.svg>>, which is repeated below as
<<figreference 4_3_IncreaseN.svg>>, we see visual evidence that increasing the
number of rectangles in a Riemann sum improves the accuracy of the
approximation of the net signed area that is bounded by the given
function on the interval under consideration.
<<figure 4_3_IncreaseN.svg>>
We thus explore the natural idea of allowing the number of rectangles to
increase without bound in an effort to compute the exact net signed area
bounded by a function on an interval. In addition, it is important to
think about the differences among left, right, and middle Riemann sums
and the different results they generate as the value of $$n$$ increases.
As we have done throughout our investigations with area, we begin with
functions that are exclusively positive on the interval under
consideration.
!!The definition of the definite integral
In both examples in <<reference 4.3.PA1>>, we saw that as the number
of rectangles got larger and larger, the values of $$L_n$$, $$M_n$$, and
$$R_n$$ all grew closer and closer to the same value. It turns out that
this occurs for any continuous function on an interval $$[a,b]$$, and even
more generally for a Riemann sum using any point $$x_{i+1}^{\prime\prime}$$ in the
interval $$[x_i, x_{i+1}]$$. Said differently, as we let $$n \to \infty$$,
it doesn’t really matter where we choose to evaluate the function within
a given subinterval, because
$$\lim_{n \to \infty} L_n = \lim_{n \to \infty} R_n = \lim_{n \to \infty} M_n = \lim_{n \to \infty} \sum_{i=1}^{n} f(x_i^{\prime\prime}) \triangle x.$$
That these limits always exist (and share the same value) for a
continuous<<footnote "[7]" "It turns out that a function need not be continuous in order to
have a definite integral. For our purposes, we assume that the
functions we consider are continuous on the interval(s) of interest.
It is straightforward to see that any function that is piecewise
continuous on an interval of interest will also have a well-defined
definite integral.
">> function $$f$$ allows us to make the following definition.
<table>
''Definition 4.1.'' The ''definite integral'' of a continuous function $$f$$ on the interval
$$[a,b]$$, denoted $$\int_a^b f(x) \, dx$$, is the real number given by
<br>
<br>
<center>
$$\int_a^b f(x) \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} f(x_i^{\prime\prime}) \triangle x,$$
</center>
<br>
where $$\triangle x = \frac{b-a}{n}$$, $$x_i = a + i\triangle x$$ (for
$$i = 0, \ldots, n$$), and $$x_i^{\prime\prime}$$ satisfies $$x_{i-1} \le x_i^{\prime\prime} \le x_i$$
(for $$i = 1, \ldots, n$$).
We call the symbol $$\int$$ the ''integral sign'', the values $$a$$ and $$b$$
the ''limits of integration'', and the function $$f$$ the ''integrand''. The
process of determining the real number $$\int_a^b f(x) \, dx$$ is called
''evaluating the definite integral''. While we will come to understand
that there are several different interpretations of the value of the
definite integral, for now the most important is that
$$\int_a^b f(x) \, dx$$ measures the net signed area bounded by $$y = f(x)$$
and the $$x$$-axis on the interval $$[a,b]$$.
<<figure 4_3_DefIntInterp.svg>>
For example, in the notation of the definite integral, if $$f$$ is the
function pictured in <<figreference 4_3_DefIntInterp.svg>> and $$A_1$$, $$A_2$$, and
$$A_3$$ are the exact areas bounded by $$f$$ and the $$x$$-axis on the
respective intervals $$[a,b]$$, $$[b,c]$$, and $$[c,d]$$, then
$$\int_a^b f(x) \, dx = A_1, \ \int_b^c f(x) \, dx = -A_2, \ \int_c^d f(x) \, dx = A_3,$$
$$\int_a^d f(x) \, dx = A_1 - A_2 + A_3.$$
We can also use definite integrals to express the change in position and
distance traveled by a moving object. In the setting of a velocity
function $$v$$ on an interval $$[a,b]$$, it follows from our work above and
in preceding sections that the change in position, $$s(b) - s(a)$$, is
given by
$$s(b) - s(a) = \int_a^b v(t) \, dt.$$
If the velocity function is nonnegative on $$[a,b]$$, then
$$\int_a^b v(t) \,dt$$ tells us the distance the object traveled. When
velocity is sometimes negative on $$[a,b],$$ the areas bounded by the
function on intervals where $$v$$ does not change sign can be found using
integrals, and the sum of these values will tell us the distance the
object traveled.
If we wish to compute the value of a definite integral using the
definition, we have to take the limit of a sum. While this is possible
to do in select circumstances, it is also tedious and time-consuming;
moreover, computing these limits does not offer much additional insight
into the meaning or interpretation of the definite integral. Instead, in
<<reference 4.4.FTC>>, we will learn the Fundamental Theorem of Calculus,
a result that provides a shortcut for evaluating a large class of
definite integrals. This will enable us to determine the exact net
signed area bounded by a continuous function and the $$x$$-axis in many
circumstances, including examples such as
$$\int_1^4 (x^2 + 1) \, dx$$, which we approximated by Riemann sums in
<<reference 4.3.PA1>>.
For now, our goal is to understand the meaning and properties of the
definite integral, rather than how to actually compute its value using
ideas in calculus. Thus, we temporarily rely on the net signed area
interpretation of the definite integral and observe that if a given
curve produces regions whose areas we can compute exactly through known
area formulas, we can thus compute the exact value of the integral.
<<figure 4_3_TrapArea.svg>>
For instance, if we wish to evaluate the definite integral\
$$\int_1^4 (2x+1) \, dx$$, we can observe that the region bounded by this
function and the $$x$$-axis is the trapezoid shown in
<<figreference 4_3_TrapArea.svg>>, and by the known formula for the area of a
trapezoid, its area is $$A = \frac{1}{2}(3+9) \cdot 3 = 18$$, so
$$\int_1^4 (2x+1) \, dx = 18.$$
!!Some properties of the definite integral
With the perspective that the definite integral of a function $$f$$ over
an interval $$[a,b]$$ measures the net signed area bounded by $$f$$ and the
$$x$$-axis over the interval, we naturally arrive at several different
standard properties of the definite integral. In addition, it is helpful
to remember that the definite integral is defined in terms of Riemann
sums that fundamentally consist of the areas of rectangles.
If we consider the definite integral $$\int_a^a f(x) \, dx$$ for any real
number $$a$$, it is evident that no area is being bounded because the
interval begins and ends with the same point. Hence,
<table width="100%">
If f is a continuous function and a is a real number, then $$\int_a^a f(x) \, dx = 0$$
<<figure 4_3_AdditiveProp.svg>>
Next, we consider the results of subdividing a given interval. In
Figure [F:4.3.AdditiveProp], we see that
$$\int_a^b f(x) \, dx = A_1, \ \int_b^c f(x) \, dx = A_2, \ {and} \ \int_a^c f(x) \, dx = A_1 + A_2,$$
which is indicative of the following general rule.
<table>
If $$f$$ is a continuous function and $$a$$, $$b$$, and $$c$$ are real numbers, then
<br>
<br>
<center>
$$\int_a^c f(x) \,dx = \int_a^b f(x) \,dx + \int_b^c f(x) \,dx.$$
While this rule is most apparent in the situation where $$a < b < c$$, it
in fact holds in general for any values of $$a$$, $$b$$, and $$c$$. This
result is connected to another property of the definite integral, which
states that if we reverse the order of the limits of integration, we
change the sign of the integral’s value.
<table>
If $$f$$ is a continuous function and $$a$$ and $$b$$ are real numbers, then
<br>
<br>
<center>
$$\int_b^a f(x) \,dx = -\int_a^b f(x) \,dx.$$
This result makes sense because if we integrate from $$a$$ to $$b$$, then in
the defining Riemann sum $$\triangle x = \frac{b-a}{n}$$, while if we
integrate from $$b$$ to $$a$$,
$$\triangle x = \frac{a-b}{n} = -\frac{b-a}{n}$$, and this is the only
change in the sum used to define the integral.
There are two additional properties of the definite integral that we
need to understand. Recall that when we worked with derivative rules in
Chapter [C:2], we found that both the Constant Multiple Rule and the Sum
Rule held. The Constant Multiple Rule tells us that if $$f$$ is a
differentiable function and $$k$$ is a constant, then
$$\frac{d}{dx} [kf(x)] = kf'(x),$$
and the Sum Rule states that if $$f$$ and $$g$$ are differentiable
functions, then
$$\frac{d}{dx}[f(x) + g(x)] = f'(x) + g'(x).$$
These rules are useful because they enable us to deal individually with
the simplest parts of certain functions and take advantage of the
elementary operations of addition and multiplying by a constant. They
also tell us that the process of taking the derivative respects addition
and multiplying by constants in the simplest possible way.
It turns out that similar rules hold for the definite integral. First,
let’s consider the situation pictured in <<figreference 4_3_ConstMult.svg>>, where we examine the effect of multiplying a function by a factor of 2
on the area it bounds with the $$x$$-axis. Because multiplying the
function by 2 doubles its height at every $$x$$-value, we see that if we
consider a typical rectangle from a Riemann sum, the difference in area
comes from the changed height of the rectangle: $$f(x_i)$$ for the
original function, versus $$2f(x_i)$$ in the doubled function, in the case
of left sum. Hence, in <<figreference 4_3_ConstMult.svg>>, we see that for the
pictured rectangles with areas $$A$$ and $$B$$, it follows $$B = 2A$$. As this
will happen in every such rectangle, regardless of the value of $$n$$ and
the type of sum we use, we see that in the limit, the area of the red
region bounded by $$y = 2f(x)$$ will be twice that of the area of the blue
region bounded by $$y = f(x)$$. As there is nothing special about the
value $$2$$ compared to an arbitrary constant $$k$$, it turns out that the
following general principle holds.
<<figure 4_3_ConstMult.svg>>
<table>
''constant multiple rule.'' If $$f$$ is a continuous function and $$k$$ is any real number then
<br>
<br>
<center>
$$ \int_a^b k \cdot f(x) \,dx = k \int_a^b f(x) \,dx.$$
<br>
<br>
Finally, we see a similar situation geometrically with the sum of two
functions $$f$$ and $$g$$.
In particular, as shown in <<figreference 4_3_Sum.svg>>, if we take the sum of two
functions $$f$$ and $$g$$, at every point in the interval, the height of the
function $$f+g$$ is given by $$(f+g)(x_i) = f(x_i) + g(x_i)$$, which is the
sum of the individual function values of $$f$$ and $$g$$ (taken at left
endpoints). Hence, for the pictured rectangles with areas $$A$$, $$B$$, and
$$C$$, it follows that $$C = A + B$$, and because this will occur for every
such rectangle, in the limit the area of the gray region will be the sum
of the areas of the blue and red regions. Stated in terms of definite
integrals, we have the following general rule.
<table width="100%">
''sum rule:'' If $$f$$ and $$g$$ are continuous functions, then
<br>
<br>
<center>
$$ \int_a^b [f(x) + g(x)] \,dx = \int_a^b f(x) \,dx + \int_a^b g(x) \,dx.$$
<br>
<br>
More generally, the Constant Multiple and Sum Rules can be combined to
make the observation that for any continuous functions $$f$$ and $$g$$ and
any constants $$c$$ and $$k$$,
$$\int_a^b [c f(x) \pm k g(x)] \,dx = c \int_a^b f(x) \,dx \pm k \int_a^b g(x) \,dx.$$
!!How the definite integral is connected to a function’s average value
One of the most valuable applications of the definite integral is that
it provides a way to meaningfully discuss the average value of a
function, even for a function that takes on infinitely many values.
Recall that if we wish to take the average of $$n$$ numbers $$y_1$$, $$y_2$$,
$$\ldots$$, $$y_n$$, we do so by computing
$${Avg} = \frac{y_1 + y_2 + \cdots + y_n}{n}.$$
Since integrals arise from Riemann sums in which we add $$n$$ values of a
function, it should not be surprising that evaluating an integral is
something like averaging the output values of a function. Consider, for
instance, the right Riemann sum $$R_n$$ of a function $$f$$, which is given
by
$$R_n = f(x_1) \triangle x + f(x_2) \triangle x + \cdots + f(x_n) \triangle x$$ = $$(f(x_1) + f(x_2) + \cdots + f(x_n))\triangle x.$$
Since $$\triangle x = \frac{b-a}{n}$$, we can thus write
$$R_n = (f(x_1) + f(x_2) +... + f(x_n))\frac{(b-a)}{n} = (b-a).\frac{f(x_1) + f(x_2) +... + f(x_n)}{n} $$
Here, we see that the right Riemann sum with $$n$$ subintervals is the
length of the interval $$(b-a)$$ times the average of the $$n$$ function
values found at the right endpoints. And just as with our efforts to
compute area, we see that the larger the value of $$n$$ we use, the more
accurate our average of the values of $$f$$ will be. Indeed, we will
define the average value of $$f$$ on $$[a,b]$$ to be
$$f_{{\tiny{AVG}}[a,b]} = \lim_{n \to \infty} \frac{f(x_1) + f(x_2) + \cdots + f(x_n)}{n}.$$
But we also know that for any continuous function $$f$$ on $$[a,b]$$, taking
the limit of a Riemann sum leads precisely to the definite integral.
That is, $$\lim_{n \to \infty} R_n = \int_a^b f(x) \, dx$$, and thus
taking the limit as $$n \to \infty$$ in ''Equation 4.1'', we have that
$$\int_a^b f(x) \, dx = (b-a) f_{AVG[a,b]}$$,
Solving ''Equation 4.2'' for $$f_{{\tiny{AVG}}[a,b]}$$, we have
the following general principle.
<table>
<span>''Average value of a function:''</span> If $$f$$ is a continuous
function on $$[a,b]$$, then its average value on $$[a,b]$$ is given by the
formula
<br>
<br>
<center>
$$f_{{\tiny{AVG}}[a,b]} = \frac{1}{b-a} \cdot \int_a^b f(x) \, dx.$$
<br>
<br>
Observe that tells us another way to interpret the
definite integral: the definite integral of a function $$f$$ from $$a$$ to
$$b$$ is the length of the interval $$(b-a)$$ times the average value of the
function on the interval. In addition, ''Equation 4.2'' has a
natural visual interpretation when the function $$f$$ is nonnegative on
$$[a,b]$$.
<<figure 4_3_AvgVal.svg>>
Consider <<figreference 4_3_AvgVal.svg>>, where we see at left the shaded region
whose area is $$\int_a^b f(x) \, dx$$, at center the shaded rectangle
whose dimensions are $$(b-a)$$ by $$f_{{\tiny{AVG}}[a,b]}$$, and at
right these two figures superimposed. Specifically, note that in dark
green we show the horizontal line $$y = f_{{\tiny{AVG}}[a,b]}$$.
Thus, the area of the green rectangle is given by
$$(b-a) \cdot f_{{\tiny{AVG}}[a,b]}$$, which is precisely the value
of $$\int_a^b f(x) \, dx$$. Said differently, the area of the blue region
in the left figure is the same as that of the green rectangle in the
center figure; this can also be seen by observing that the areas $$A_1$$
and $$A_2$$ in the rightmost figure appear to be equal. Ultimately, the
average value of a function enables us to construct a rectangle whose
area is the same as the value of the definite integral of the function
on the interval. The java applet<<footnote "[8]" "David Austin, http://gvsu.edu/s/5r">> at
http://gvsu.edu/s/az provides an opportunity
to explore how the average value of the function changes as the interval
changes, through an image similar to that found in
<<figreference 4_3_AvgVal.svg>>.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Any Riemann sum of a continuous function $$f$$ on an interval $$[a,b]$$ provides an estimate of the net signed area bounded by the function and the horizontal axis on the interval. Increasing the number of subintervals in the Riemann sum improves the accuracy of this estimate, and letting the number of subintervals increase without bound results in the values of the corresponding Riemann sums approaching the exact value of the enclosed net signed area.
* When we take the just described limit of Riemann sums, we arrive at what we call the definite integral of $$f$$ over the interval $$[a,b]$$. In particular, the symbol $$\int_a^b f(x) \, dx$$ denotes the definite integral of $$f$$ over $$[a,b]$$, and this quantity is defined by the equation
$$\int_a^b f(x) \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} f(x_i^{\prime\prime}) \triangle x,$$
where $$\triangle x = \frac{b-a}{n}$$, $$x_i = a + i\triangle x$$ (for $$i = 0, \ldots, n$$), and $$x_i^{\prime\prime}$$ satisfies $$x_{i-1} \le x_i^{\prime\prime} \le x_i$$ (for $$i = 1, \ldots, n$$).
* The definite integral $$\int_a^b f(x) \,dx$$ measures the exact net signed area bounded by $$f$$ and the horizontal axis on $$[a,b]$$; in addition, the value of the definite integral is related to what we call the average value of the function on $$[a,b]$$: $$f_{{\tiny{AVG}}[a,b]} = \frac{1}{b-a} \cdot \int_a^b f(x) \, dx.$$ In the setting where we consider the integral of a velocity function $$v$$, $$\int_a^b v(t) \,dt$$ measures the exact change in position of the moving object on $$[a,b]$$; when $$v$$ is nonnegative, $$\int_a^b v(t) \,dt$$ is the object’s distance traveled on $$[a,b]$$.
* The definite integral is a sophisticated sum, and thus has some of the same natural properties that finite sums have. Perhaps most important of these is how the definite integral respects sums and constant multiples of functions, which can be summarized by the rule
$$\int_a^b [c f(x) \pm k g(x)] \,dx = c \int_a^b f(x) \,dx \pm k \int_a^b g(x) \,dx$$
where $$f$$ and $$g$$ are continuous functions on $$[a,b]$$ and $$c$$ and $$k$$ are arbitrary constants.
{{4.3.DefiniteIntegral(Ex)}}
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the applet found at
http://gvsu.edu/s/a9 <<footnote "[6]" "Marc Renault, Shippensburg University, Geogebra Applets for Calclulus, http://gvsu.edu/s/5p">>. There, you will
initially see the situation shown in <<figreference 4_3_GGBApplet.svg>>.
<<figure 4_3_GGBApplet.svg>>
Note that the value of the chosen Riemann sum is displayed next to the
word “relative,” and that you can change the type of Riemann sum being
computed by dragging the point on the slider bar below the phrase
“sample point placement.”
Explore to see how you can change the window in which the function is
viewed, as well as the function itself. You can set the minimum and
maximum values of $$x$$ by clicking and dragging on the blue points that
set the endpoints; you can change the function by typing a new formula
in the “f(x)” window at the bottom; and you can adjust the overall
window by “panning and zooming” by using the Shift key and the scrolling
feature of your mouse. More information on how to pan and zoom can be
found at http://gvsu.edu/s/Fl.
Work accordingly to adjust the applet so that it uses a left Riemann sum
with $$n = 5$$ subintervals for the function is $$f(x) = 2x + 1$$. You
should see the updated figure shown in <<figreference 4_3_GGBApplet2.svg>>. Then,
answer the following questions.
<<figure 4_3_GGBApplet2.svg>>
''a)'' Update the applet (and view window, as needed) so that the function
being considered is $$f(x) = 2x+1$$ on $$[1,4]$$, as directed above. For
this function on this interval, compute $$L_{n}$$, $$M_{n}$$, $$R_{n}$$ for
$$n = 5$$, $$n = 25$$, and $$n = 100$$. What appears to be the exact area
bounded by $$f(x) = 2x+1$$ and the $$x$$-axis on $$[1,4]$$?
''b)'' Use basic geometry to determine the exact area bounded by $$f(x) = 2x+1$$
and the $$x$$-axis on $$[1,4]$$.
''c)'' Based on your work in (a) and (b), what do you observe occurs when we
increase the number of subintervals used in the Riemann sum?
''d)'' Update the applet to consider the function $$f(x) = x^2 + 1$$ on the
interval $$[1,4]$$ (note that you need to enter “`x\wedge2 + 1`” for the
function formula). Use the applet to compute $$L_{n}$$, $$M_{n}$$, $$R_{n}$$
for $$n = 5$$, $$n = 25$$, and $$n = 100$$. What do you conjecture is the
exact area bounded by $$f(x) = x^2+1$$ and the $$x$$-axis on $$[1,4]$$?
''e)'' Why can we not compute the exact value of the area bounded by
$$f(x) = x^2+1$$ and the $$x$$-axis on $$[1,4]$$ using a formula like we did
in (b)?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use the Fundamental Theorem of Calculus to evaluate each of the following integrals exactly. For each, sketch a graph of the integrand on the relevant interval and write one sentence that explains the meaning of the value of the integral in terms of the (net signed) area bounded by the curve.
''a)'' $$\int_{-1}^4 (2-2x) \, dx$$
''b)'' $$\int_{0}^{\frac{\pi}{2}} \sin(x) \, dx$$
''c)'' $$\int_0^1 e^x \, dx$$
''d)'' $$\int_{-1}^{1} x^5 \, dx$$
''e)'' $$\int_0^2 (3x^3 - 2x^2 - e^x) \, dx$$
Find a function whose derivative is $$2 - 2x$$.
Which familiar function has derivative $$\sin(x)$$?
What is special about $$e^x$$ when it comes to differentiation?
Consider the derivative of $$x^6$$.
Find an antiderivative for each of the three individual terms in the
integrand.
Find a function whose derivative is $$2 - 2x$$.
Recall that $$\frac{d}{dx}[\cos(x)] = -\sin(x)$$.
What is special about $$e^x$$ when it comes to differentiation?
Think about the derivative of $$x^6$$ and how you might choose an
appropriate constant by which to multiply this function.
Find an antiderivative for each of the three individual terms in the
integrand. Note, for instance, that
$$\frac{d}{dx} [\frac{3}{4} x^4 ] = 3x^3.$$
Because $$\frac{d}{dx}[2x - x^2] = 2-2x$$, by the Fundamental Theorem of
Calculus,
$$\int_{-1}^4 (2-2x) \, dx = \left. 2x - x^2 \right|_{-1}^4,$$
$$\int_{-1}^4 (2-2x) \, dx = (2 \cdot 4 - 4^2) - (2(-1) - (-1)^2) = -8 + 3 = -5.$$
Since $$\frac{d}{dx} [\cos(x)] = -\sin(x)$$, an antiderivative of
$$f(x) = \sin(x)$$ is $$F(x) = -\cos(x)$$. Therefore, by the FTC,
$$\int_{0}^{\frac{\pi}{2}} \sin(x) \, dx = \left. -\cos(x) \right|_{-\frac{\pi}{2}}^{\frac{\pi}{2}},$$
so
$$\int_{0}^{\frac{\pi}{2}} \sin(x) \, dx = -\cos(\frac{\pi}{2}) - (-\cos(0)) = -0 + 1 = 1.$$
Since $$e^x$$ is its own derivative, it is also its own antiderivative.
Hence,
$$\int_0^1 e^x \, dx = \left. e^x \right|_0^1 = e^1 - e^0 = e-1.$$
Note that since $$\frac{d}{dx} [x^6] = 6x^5$$, it follows that
$$\frac{d}{dx} [\frac{1}{6}x^6] = x^5$$, and thus
$$\int_{-1}^{1} x^5 \, dx = \left. \frac{1}{6}x^6 \right|_{-1}^1 = \frac{1}{6} (1)^6 - \frac{1}{6}(-1)^6 = 0.$$
Using the sum and constant multiple rules for differentiation, we can
see that similar results hold for antidifferentiation, and thus that
$$F(x) = \frac{3}{4} x^4 - \frac{2}{3} x^3 - e^x$$ is an antiderivative of
$$f(x) = 3x^3 - 2x^2 - e^x$$. Now, by the FTC,
~0~^2^ (3x^3^ - 2x^2^ - e^x^) dx & = & . x^4^ - x^3^ - e^x^ |~0~^2^\
& = & (2)^4^ - (2)^3^ - e^2^ - ( (0)^4^ - (0)^3^ - e^0^)\
& = & 12 - - e^2^ - (0 - 0 - 1)\
& = & - e^2^.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
[img width="90%" [table.4.4.Act2]]
Use your knowledge of derivatives of basic functions to complete the above table of antiderivatives. For each entry, your task is to find a function $$F$$ whose derivative is the given function $$f$$. When finished, use the FTC and the results in the table to evaluate the three given definite integrals.
''a)'' $$\displaystyle \int_0^1 \left(x^3 - x - e^x + 2\right) \,dx$$
''b)'' $$\displaystyle \int_0^{\pi/3} (2\sin (t) - 4\cos(t) + \sec^2(t) - \pi) \, dt$$
''c)'' $$\displaystyle \int_0^1 (\sqrt{x}-x^2) \, dx$$
For the table, you might start by constructing a list of all the basic
functions whose derivative you know. For the three definite integrals,
be sure to recall the sum and constant multiple rules, which work not
only for differentiating, but also for antidifferentiating.
For the table, you might start by constructing a list of all the basic
functions whose derivative you know. For example, we know that
$$\frac{d}{dx} [\csc(x)] = -\csc(x) \cot(x).$$ For the three definite
integrals, be sure to recall the sum and constant multiple rules, which
work not only for differentiating, but also for antidifferentiating.
Then use the FTC.
given function, $$f(x)$$
& antiderivative, $$F(x)$$
\
$$k$$, ($$k \ne 0$$) & $$kx$$\
$$x^n$$, $$n \ne -1$$ & $$\frac{1}{n+1}x^{n+1}$$\
$$\frac{1}{x}$$, $$x > 0$$ & $$\ln(x)$$\
$$\sin(x)$$ & $$-\cos(x)$$\
$$\cos(x)$$ & $$\sin(x)$$\
$$\sec(x) \tan(x)$$ & $$\sec(x)$$\
$$\csc(x) \cot(x)$$ & $$-\csc(x)$$\
$$\sec^2 (x)$$ & $$\tan(x)$$\
$$\csc^2 (x)$$ & $$\cot(x)$$\
$$a^x$$ $$(a > 1)$$ & $$\frac{1}{\ln(a)} a^x$$\
$$\frac{1}{1+x^2}$$ & $$\arctan(x)$$\
$$\frac{1}{\sqrt{1-x^2}}$$ & $$\arcsin(x)$$\
By standard antiderivative rules and the FTC,
~0~^1^ (x^3^ - x - e^x^ + 2) dx & = & . x^4^ - x^2^ - e^x^ + 2x |~0~^1^\
& = & ( (1)^4^ - (1)^2^ - e^1^ + 2(1) ) - ( (0)^4^ - (0)^2^ - e^0^ +
2(0) )\
& = & - - e + 2 - (0 - 0 - 1 + 0 )\
& = & - - e + 3\
& = & - 3.
Calculating the needed antiderivative and applying the FTC,
~0~^/3^ (2(t) - 4(t) + ^2^(t) - ) dt & = & . (-2(t) - 4(t) + (t) - t )
|~0~^/3^\
& = & (-2(/3) - 4(/3) + (/3) - (/3) ) -\
& & (-2(0)) - 4(0) + (0) - (0) )\
& = & -2 - 4 + - - (-2 - 0 + 0 - 0)\
& = & 1 - - .
Noting that $$\frac{d}{dx}[\frac{2}{3} x^{3/2}] = x^{1/2}$$, we find that
~0~^1^ ( - x^2^) dx & = & . x^3/2^ - x^3^ |~0~^1^\
& = & - - (0 - 0 )\
& = & .
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
During a 30-minute workout, a person riding an exercise machine burns calories at a rate of $$c$$ calories per minute, where the function $$y = c(t)$$ is given in <<figreference 4_4_Act3.svg>>. On the interval $$0 \le t \le 10$$, the formula for $$c$$ is $$c(t) = -0.05t^2 + t + 10$$, while on $$20 \le t \le 30$$, its formula is $$c(t) = -0.05t^2 + 2t - 5$$.
''a)'' What is the exact total number of calories the person burns during the
first 10 minutes of her workout?
''b)'' Let $$C(t)$$ be an antiderivative of $$c(t)$$. What is the meaning of
$$C(30) - C(0)$$ in the context of the person exercising? Include units on
your answer.
''c)'' Determine the exact average rate at which the person burned calories
during the 30-minute workout.
''d)'' At what time(s), if any, is the instantaneous rate at which the person
is burning calories equal to the average rate at which she burns
calories, on the time interval $$0 \le t \le 30$$?
What are the units on the area of a rectangle found in a Riemann sum for
the function $$y= c(t)$$?
Use the FTC.
Recall the formula for $$c_{{\tiny{AVG}}[0,30]}$$.
Think carefully about which function tells you the instantaneous rate at
which calories are burned.
What are the units on the area of a rectangle found in a Riemann sum for
the function $$y= c(t)$$? What will be the units on area bounded by the
curve?
Use a definite integral and the FTC, as well as your work in (a).
Recall the formula for $$c_{{\tiny{AVG}}[0,30]}$$. Think about the
relevant integral in terms of three subintervals: $$[0,10]$$, $$[10,20]$$,
and $$[20,30]$$.
Think carefully about which function tells you the instantaneous rate at
which calories are burned, and consider your result in (c).
Since the units on a rectangle in a Riemann sum are cal/min for the
height and min for the width, the units on the area of such a rectangle
are calories, and hence the units on area under the curve $$y = c(t)$$ are
given in total calories. Hence, the total calories burned during the
first 10 minutes of the workout is given by the definite integral
$$\int_0^{10} c(t) \, dt$$. We use the FTC and evaluate the integral,
finding that
~0~^10^ (-0.05t^2^ + t + 10) dt & = & . ( - t^3^ + t^2^ + 10t )
|~0~^10^\
& = & ( - (10)^3^ + (10)^2^ + 10(10) ) - (-0 + 0 + 0)\
& = & .
Thus, the person burned approximately 133.33 calories in the first 10
minutes of the workout.
We observe first that by the Total Change Theorem,
$$C(30) - C(0) = \int_0^{30} C'(t) \, dt = \int_0^{30} c(t) \, dt$$, and
therefore, as discussed in (a), the meaning of this value is the total
calories burned on $$[0,30]$$.
The exact average rate at which the person burned calories on
$$0 \le t \le 30$$ is given by
$$c_{{\tiny{AVG}}[0,30]} = \frac{1}{30-0} \int_0^{30} c(t) \, dt.$$
To calculate $$\int_0^{30} c(t) \, dt,$$ we recognize that $$c(t)$$ is
defined in piecewise fashion, and use the additive property of the
definite integral, which tells us that
$$\int_0^{30} c(t) \, dt = \int_0^{10} c(t) \, dt + \int_{10}^{20} c(t) \, dt + \int_{20}^{30} c(t) \, dt.$$
We know from our work in (a) that
$$\int_0^{10} c(t) \, dt = \frac{400}{3}$$. Since $$c(t) = 15$$ is constant
on $$10 \le t \le 20$$, it follows that
$$ \int_{10}^{20} c(t) \, dt = 15 \cdot 10 = 150$$. And finally, it is
straightforward to show using $$c(t) = -0.05t^2 + 2t - 5$$ on
$$20 \le t \le 30$$ that $$\int_{20}^{30} c(t) \, dt = \frac{400}{3}$$.
Hence,
~0~^30^ c(t) dt & = & ~0~^10^ c(t) dt + ~10~^20^ c(t) dt + ~20~^30^ c(t)
dt\
& = & + 150 +\
& = & 416.67 .
Now, it follows that the exact average rate at which calories were
burned on $$[0,30]$$ is
$$c_{{\tiny{AVG}}[0,30]} = \frac{1}{30-0} \int_0^{30} c(t) \, dt = \frac{1}{30} \cdot \frac{1250}{3} = \frac{1250}{90} \approx 13.89 \ {cal/min}.$$
It makes sense intuitively that there must be at least one time at which
the instantaneous rate at which calories are burned equals the average
rate at which calories are burned, as it would be impossible for a
continuous instantaneous rate of change to always be above its average
value. Since we know from (c) that
$$c_{{\tiny{AVG}}[0,30]} = \frac{125}{9}$$, and $$c(t)$$ tells us the
instantaneous rate at which calories are burned, it follows that we want
to solve the equation $$c(t) = \frac{125}{9}.$$
From the graph, it appears that there are two such values of $$t$$ for
which this equation is true, one in the first ten minutes, and one in
the last ten. For instance, solving
$$-0.05t^2 + t + 10 = \frac{125}{9},$$
it follows that $$t = 10 \pm 10\sqrt{2}/3 \approx 14.714, 5.286$$, only
the second of which lies in $$0 \le t \le 10$$. So one time at which the
instantaneous rate at which calories are burned equals the average rate
on $$[0,30]$$ is $$t = 10 - 10\sqrt{2}/3 \approx 5.286.$$ Similar reasoning
shows that the other time is $$t = 20 + 10\sqrt{2}/3 \approx 24.714$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' The instantaneous velocity (in meters per minute) of a moving object is
given by the function $$v$$ as pictured in <<figreference 4_4_Ez2.svg>>. Assume that
on the interval $$0 \le t \le 4$$, $$v(t)$$ is given by
$$v(t) = -\frac{1}{4}t^3 + \frac{3}{2}t^2 + 1$$, and that on every other
interval $$v$$ is piecewise linear, as shown.
''a)'' Determine the exact distance traveled by the object on the time interval
$$0 \le t \le 4$$.
''b)'' What is the object’s average velocity on $$[12,24]$$?
''c)'' At what time is the object’s acceleration greatest?
''d)'' Suppose that the velocity of the object is increased by a constant value
$$c$$ for all values of $$t$$. What value of $$c$$ will make the object’s
total distance traveled on $$[12,24]$$ be 210 meters?
''2.'' A function $$f$$ is given piecewise by the formula
''a)'' Determine the exact value of the net signed area enclosed by $$f$$ and the
$$x$$-axis on the interval $$[2,5]$$.
''b)'' Compute the exact average value of $$f$$ on $$[0,5]$$.
''c)'' Find a formula for a function $$g$$ on $$5 \le x \le 7$$ so that if we
extend the above definition of $$f$$ so that $$f(x) = g(x)$$ if
$$5 \le x \le 7$$, it follows that $$\int_0^7 f(x) \, dx = 0.$$
When an aircraft attempts to climb as rapidly as possible, its climb rate (in feet per minute) decreases as altitude increases, because the air is less dense at higher altitudes.
Given below is a table showing performance data for a certain single engine aircraft, giving its climb rate at various altitudes,
where $$c(h)$$ denotes the climb rate of the airplane at an altitude $$h$$.
[img width="100%"[table.4.4.ex]]
Let a new function called $$m(h)$$ measure the number of minutes required for a plane at altitude $$h$$ to climb the
next foot of altitude.
''a)'' Determine a similar table of values for $$m(h)$$ and explain how it is
related to the table above. Be sure to explain the units.
''b)'' Give a careful interpretation of a function whose derivative is $$m(h)$$. Describe what the input is and what the output is. Also, explain in plain English what the function tells us.
''c)'' Determine a definite integral whose value tells us exactly the number of
minutes required for the airplane to ascend to 10,000 feet of altitude. Clearly explain why the value of this integral
has the required meaning.
''d)'' Use the Riemann sum $$M_5$$ to estimate the value of the integral you
found in (c). Include units on your result.
''4.'' In <<reference [[Chapter 1]]>>, we showed that for an object moving along a straight
line with position function $$s(t)$$, the object’s “average velocity on
the interval $$[a,b]$$” is given by
$$\displaystyle AV_{[a,b]} = \frac{s(b)-s(a)}{b-a}.$$
More recently in Chapter [C:4], we found that for an object moving along
a straight line with velocity function $$v(t)$$, the object’s “average
value of its velocity function on $$[a,b]$$” is
$$\displaystyle v_{{\tiny{AVG}}[a,b]} = \frac{1}{b-a} \int_a^b v(t) \, dt.$$
Are the “average velocity on the interval $$[a,b]$$” and the “average
value of the velocity function on $$[a,b]$$” the same thing? Why or why
not? Explain.
How can we find the exact value of a definite integral without taking
the limit of a Riemann sum?
What is the statement of the Fundamental Theorem of Calculus, and how do
antiderivatives of functions play a key role in applying the theorem?
What is the meaning of the definite integral of a rate of change in
contexts other than when the rate of change represents velocity?
$$\frac{d}{dx}[-\cos(x)] = \sin(x),$$
Much of our work in <<reference [[Chapter 4]]>> has been motivated by the
velocity-distance problem: if we know the instantaneous velocity
function, $$v(t)$$, for a moving object on a given time interval $$[a,b]$$,
can we determine its exact distance traveled on $$[a,b]$$? In the vast
majority of our discussion in
<<reference 4.1.VelocityDistance>>-<<reference 4.3.DefiniteIntegral>>, we have
focused on the fact that this distance traveled is connected to the area
bounded by $$y = v(t)$$ and the $$t$$-axis on $$[a,b]$$. In particular, for
any nonnegative velocity function $$y = v(t)$$ on $$[a,b]$$, we know that
the exact area bounded by the velocity curve and the $$t$$-axis on the
interval tells us the total distance traveled, which is also the value
of the definite integral $$\int_a^b v(t) \, dt$$. In the situation where
velocity is sometimes negative, the total area bounded by the velocity
function still tells us distance traveled, while the net signed area
that the function bounds tells us the object’s change in position.
Recall, for instance, the introduction to <<reference 4.2.Riemann>>, where
we observed that for the velocity function in <<figreference 4_2_Intro.svg>>, the
total distance $$D$$ traveled by the moving object on $$[a,b]$$ is
while the total change in the object’s position on $$[a,b]$$ is
$$s(b) - s(a) = A_1 - A_2 + A_3.$$
While the areas $$A_1$$, $$A_2$$, and $$A_3$$, which are each given by
definite integrals, may be computed through limits of Riemann sums (and
in select special circumstances through familiar geometric formulas), in
the present section we turn our attention to an alternate approach,
similar to the one we encountered in <<reference 4.1.Act2>>. To explore
these ideas further, we consider the following preview activity.
!!The Fundamental Theorem of Calculus
Consider the setting where we know the position function $$s(t)$$ of an
object moving along an axis, as well as its corresponding velocity
function $$v(t)$$, and for the moment let us assume that $$v(t)$$ is
positive on $$[a,b]$$. Then, as shown in <<figreference 4_4_FTCVel.svg>>,
<<figure 4_4_FTCVel.svg>>
we know two different perspectives on the distance, $$D$$, the object
travels: one is that $$D = s(b) - s(a)$$, which is the object’s change in
position. The other is that the distance traveled is the area under the
velocity curve, which is given by the definite integral, so
$$D = \int_a^b v(t) \, dt$$.
Of course, since both of these expressions tell us the distance
traveled, it follows that they are equal, so
$$ s(b) - s(a) = \int_a^b v(t) dt.$$
Furthermore, we know that ''Equation 4.3'' holds even when velocity
is sometimes negative, since $$s(b) - s(a)$$ is the object’s change in
position over $$[a,b]$$, which is simultaneously measured by the total net
signed area on $$[a,b]$$ given by $$\int_a^b v(t) \, dt$$.
Perhaps the most powerful part of ''Equation 4.3'' lies in the fact
that we can compute the integral’s value if we can find a formula for
$$s$$. Remember, $$s$$ and $$v$$ are related by the fact that $$v$$ is the
derivative of $$s$$, or equivalently that $$s$$ is an antiderivative of $$v$$.
For example, if we have an object whose velocity is $$v(t) = 3t^2 + 40$$
feet per second (which is always nonnegative), and wish to know the
distance traveled on the interval $$[1,5]$$, we have that $$
$$D = \int_1^5 v(t) dt = \int_1^5 (3t^2 + 40) dt = s(5) - s(1), $$
where $$s$$ is an antiderivative of $$v$$. We know that the derivative of
$$t^3$$ is $$3t^2$$ and that the derivative of $$40t$$ is $$40$$, so it follows
that if $$s(t) = t^3 + 40t$$, then $$s$$ is a function whose derivative is
$$v(t) = s'(t) = 3t^2 + 40$$, and thus we have found an antiderivative of
$$v$$. Therefore,
$$D = \int _1^5 3t^2 + 40 dt $$ = $$ s(5) - s(1) = (5^3 + 40 . 5) - (1^3 + 40.1) = 284 feet .$$
Note the key lesson of this example: to find the distance traveled, we
needed to compute the area under a curve, which is given by the definite
integral. But to evaluate the integral, we found an antiderivative, $$s$$,
of the velocity function, and then computed the total change in $$s$$ on
the interval. In particular, observe that we have found the exact area
of the region shown in <<figreference 4_4_FTCVel2.svg>>, and done so without a
familiar formula (such as those for the area of a triangle or circle)
and without directly computing the limit of a Riemann sum.
<<figure 4_4_FTCVel2.svg>>
As we proceed to thinking about contexts other than just velocity and
position, it is advantageous to have a shorthand symbol for a function’s
antiderivative. In the general setting of a continuous function $$f$$, we
will often denote an antiderivative of $$f$$ by $$F$$, so that the
relationship between $$F$$ and $$f$$ is that $$F'(x) = f(x)$$ for all relevant
$$x$$. Using the notation $$V$$ in place of $$s$$ (so that $$V$$ is an
antiderivative of $$v$$) in ''Equation 4.3'', we find it is
equivalent to write that
$$ V(b) - V(a) = \int_a^b v(t) dt.
Now, in the general setting of wanting to evaluate the definite integral
$$\int_a^b f(x) \, dx$$ for an arbitrary continuous function $$f$$, we could
certainly think of $$f$$ as representing the velocity of some moving
object, and $$x$$ as the variable that represents time. And again,
Equations ''4.3'' and ''4.4'' hold for any continuous velocity
function, even when $$v$$ is sometimes negative. This leads us to see that
''Equation 4.4'' tells us something even more important than the
change in position of a moving object: it offers a shortcut route to
evaluating any definite integral, provided that we can find an
antiderivative of the integrand. The Fundamental Theorem of Calculus
(FTC) summarizes these observations.
<table>
''The Fundamental Theorem of Calculus:''
If $$f$$ is a continuous function on $$[a,b]$$, and $$F$$ is any antiderivative of $$f$$, then $$\int_a^b f(x) \, dx = F(b) - F(a).$$
A common alternate notation for $$F(b) - F(a)$$ is
$$F(b) - F(a) = \left. F(x) \right|_a^b,$$
where we read the righthand side as “the function $$F$$ evaluated from $$a$$
to $$b$$.” In this notation, the FTC says that
$$\int_a^b f(x) \, dx = \left. F(x) \right|_a^b.$$
The FTC opens the door to evaluating exactly a wide range of integrals.
In particular, if we are interested in a definite integral for which we
can find an antiderivative $$F$$ for the integrand $$f$$, then we can
evaluate the integral exactly. For instance since
$$\frac{d}{dx}[\frac{1}{3}x^3] = x^2$$, the FTC tells us that
<center>
<table class="equationtable">
<tr><td> $$\int _0^1 x^2 dx$$
</td><td>= $$ \frac{1}{3}x^3 |_0^1$$ </td></tr>
<tr><td></td><td>= $$\frac{1}{3}(1)^3 - \frac{1}{3}(0)^3 $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{3} $$
</td></tr>
But finding an antiderivative can be far from simple; in fact, often
finding a formula for an antiderivative is very hard or even impossible.
While we can differentiate just about any function, even some relatively
simple ones don’t have an elementary antiderivative. A significant
portion of integral calculus (which is the main focus of second semester
college calculus) is devoted to understanding the problem of finding
antiderivatives.
The general problem of finding an antiderivative is difficult. In part,
this is due to the fact that we are trying to undo the process of
differentiating, and the undoing is much more difficult than the doing.
For example, while it is evident that an antiderivative of
$$f(x) = \sin(x)$$ is $$F(x) = -\cos(x)$$ and that an antiderivative of
$$g(x) = x^2$$ is $$G(x) = \frac{1}{3} x^3$$, combinations of $$f$$ and $$g$$
can be far more complicated. Consider such functions as
$$5\sin(x) - 4x^2, \ x^2 \sin(x), \ \frac{\sin(x)}{x^2}, \ {and} \ \sin(x^2).$$
What is involved in trying to find an antiderivative for each? From our
experience with derivative rules, we know that while derivatives of sums
and constant multiples of basic functions are simple to execute,
derivatives involving products, quotients, and composites of familiar
functions are much more complicated. Thus, it stands to reason that
antidifferentiating products, quotients, and composites of basic
functions may be even more challenging. We defer our study of all but
the most elementary antiderivatives to later in the text.
We do note that each time we have a function for which we know its
derivative, we have a ''function-derivative pair'', which also leads us to
knowing the antiderivative of a function. For instance, since we know
that
$$\frac{d}{dx}[-\cos(x)] = \sin(x),$$
it follows that $$F(x) = -\cos(x)$$ is an antiderivative of
$$f(x) = \sin(x)$$. It is equivalent to say that $$f(x) = \sin(x)$$ is the
derivative of $$F(x) = -\cos(x)$$, and thus $$F$$ and $$f$$ together form the
function-derivative pair. Clearly, every basic derivative rule leads us
to such a pair, and thus to a known antiderivative. In
<<reference 4.4.Act2>>, we will construct a list of most of the basic
antiderivatives we know at this time. Furthermore, those rules will
enable us to antidifferentiate sums and constant multiples of basic
functions. For example, if $$f(x) = 5\sin(x) - 4x^2$$, note that since
$$-\cos(x)$$ is an antiderivative of $$\sin(x)$$ and $$\frac{1}{3}x^3$$ is an
antiderivative of $$x^2$$, it follows that
$$F(x) = -5\cos(x) - \frac{4}{3}x^3$$
is an antiderivative of $$f$$, by the sum and constant multiple rules for
differentiation.
Finally, before proceeding to build a list of common functions whose
antiderivatives we know, we revisit the fact that each function has more
than one antiderivative. Because the derivative of any constant is zero,
any time we seek an arbitrary antiderivative, we may add a constant of
our choice. For instance, if we want to determine an antiderivative of
$$g(x) = x^2$$, we know that $$G(x) = \frac{1}{3}x^3$$ is one such function.
But we could alternately have chosen $$G(x) = \frac{1}{3}x^3 + 7$$, since
in this case as well, $$G'(x) = x^2$$. In some contexts later on in
calculus, it is important to discuss the most general antiderivative of
a function. If $$g(x) = x^2$$, we say that the ''general antiderivative'' of
$$g$$ is $$G(x) = \frac{1}{3}x^3 + C,$$
where $$C$$ represents an arbitrary real number constant. Regardless of
the formula for $$g$$, including $$+C$$ in the formula for its
antiderivative $$G$$ results in the most general possible antiderivative.
Our primary current interest in antiderivatives is for use in evaluating
definite integrals by the Fundamental Theorem of Calculus. In that
situation, the arbitrary constant $$C$$ is irrelevant, and thus we usually
omit it. To see why, consider the definite integral
For the integrand $$g(x) = x^2$$, suppose we find and use the general
antiderivative $$G(x) = \frac{1}{3} x^3 + C.$$ Then, by the FTC,
<center>
<table class="equationtable">
<tr><td> $$ \int_0^1 x^2dx$$
</td><td>= $$ $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{3}x^3 + C |_0^1 $$
</td></tr>
<tr><td></td><td>= $$( (1)^3 + C ) - ( (0)^3 + C ) $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{3}+ C - 0 + C $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{3} $$
</td></tr>
Specifically, we observe that the $$C$$-values appear as opposites in the
evaluation of the integral and thus do not affect the definite
integral’s value. In the same way, the potential inclusion of $$+C$$ with
the antiderivative has no bearing on any definite integral, and thus we
generally choose to omit this possible constant whenever we evaluate an
integral using the Fundamental Theorem of Calculus.
In the following activity, we work to build a list of basic functions
whose antiderivatives we already know.
!!The total change theorem
As we use the Fundamental Theorem of Calculus to evaluate definite
integrals, it is essential that we remember and understand the meaning
of the numbers we find. We briefly summarize three key interpretations
to date.
* For a moving object with instantaneous velocity $$v(t)$$, the object’s change in position on the time interval $$[a,b]$$ is given by $$\int_a^b v(t) \, dt$$, and whenever $$v(t) \ge 0$$ on $$[a,b]$$, $$\int_a^b v(t) \, dt$$ tells us the total distance traveled by the object on $$[a,b]$$.
* For any continuous function $$f$$, its definite integral $$\int_a^b f(x) \, dx$$ represents the total net signed area bounded by $$y = f(x)$$ and the $$x$$-axis on $$[a,b]$$, where regions that lie below the $$x$$-axis have a minus sign associated with their area.
* The value of a definite integral is linked to the average value of a function: for a continuous function $$f$$ on $$[a,b]$$, its average value $$f_{{\tiny{AVG}}[a,b]}$$ is given by
$$f_{{\tiny{AVG}}[a,b]} = \frac{1}{b-a} \int_a^b f(x) \, dx.$$
The Fundamental Theorem of Calculus now enables us to evaluate exactly
(without taking a limit of Riemann sums) any definite integral for which
we are able to find an antiderivative of the integrand.
A slight change in notational perspective allows us to gain even more
insight into the meaning of the definite integral. To begin, recall
''Equation 4.4'', where we wrote the Fundamental Theorem of Calculus
for a velocity function $$v$$ with antiderivative $$V$$ as
$$V(b) - V(a) = \int_a^b v(t) \, dt.$$
If we instead replace $$V$$ with $$s$$ (which represents position) and
replace $$v$$ with $$s'$$ (since velocity is the derivative of position),
''Equation 4.4'' equivalently reads
$$ s(b) - s(a) = \int_a^b s'(t) dt.$$
In words, this version of the FTC tells us that the total change in the
object’s position function on a particular interval is given by the
definite integral of the position function’s derivative over that
interval.
Of course, this result is not limited to only the setting of position
and velocity. Writing the result in terms of a more general function
$$f$$, we have the Total Change Theorem.
<table>
''The Total Change Theorem:'' If $$f$$ is a continuously differentiable function on $$[a,b]$$ with derivative $$f'$$, then
$$f(b) - f(a) = \int_a^b f'(x) dx.$$
That is, the definite integral of the derivative of a function on $$[a,b]$$ is the total change of the function itself on $$[a,b]$$.
The Total Change Theorem tells us more about the relationship between
the graph of a function and that of its derivative. Recall
<<figreference 1_4_ffprimeplot.svg>>, which provided one of the first times we saw
that heights on the graph of the derivative function come from slopes on
the graph of the function itself. That observation occurred in the
context where we knew $$f$$ and were seeking $$f'$$; if now instead we think
about knowing $$f'$$ and seeking information about $$f$$, we can instead say
the following:
''differences in heights on $$f$$ correspond to net signed areas bounded by $$f'$$.''
To see why this is so, say we consider the difference $$f(1) - f(0)$$.
Note that this value is 3, in part because $$f(1) = 3$$ and $$f(0) = 0$$,
but also because the net signed area bounded by $$y = f'(x)$$ on $$[0,1]$$
is 3. That is, $$f(1) - f(0) = \int_0^1 f'(x) \, dx$$. A similar pattern
holds throughout, including the fact that since the total net signed
area bounded by $$f'$$ on $$[0,4]$$ is $$0$$, $$\int_0^4 f'(x) \, dx = 0$$, so
it must be that $$f(4) - f(0) = 0$$, so $$f(4) = f(0)$$.
Beyond this general observation about area, the Total Change Theorem
enables us to consider interesting and important problems where we know
the rate of change, and answer key questions about the function whose
rate of change we know.
''Example 4.1'' Suppose that pollutants are leaking out of an underground storage tank
at a rate of $$r(t)$$ gallons/day, where $$t$$ is measured in days. It is
conjectured that $$r(t)$$ is given by the formula
$$r(t) = 0.0069t^3 -0.125t^2+11.079$$ over a certain 12-day period. The
graph of $$y=r(t)$$ is given in <<figreference 4_4_TCTEx.svg>>. What is the meaning
of $$\int_4^{10} r(t) \, dt$$ and what is its value? What is the average
rate at which pollutants are leaving the tank on the time interval
$$4 \le t \le 10$$?
We know that since $$r(t) \ge 0$$, the value of $$\int_4^{10} r(t) \, dt$$
is the area under the curve on the interval $$[4,10]$$. If we think about
this area from the perspective of a Riemann sum, the rectangles will
have heights measured in gallons per day and widths measured in days,
thus the area of each rectangle will have units of
$$\frac{gallons}{day} \cdot days = gallons.$$
Thus, the definite integral tells us the total number of gallons of
pollutant that leak from the tank from day 4 to day 10. The Total Change
Theorem tells us the same thing: if we let $$R(t)$$ denote the function
that measures the total number of gallons of pollutant that have leaked
from the tank up to day $$t$$, then $$R'(t) = r(t)$$, and
$$\int_4^{10} r(t) \, dt = R(10) - R(4),$$
which is the total change in the function that measures total gallons
leaked over time, thus the number of gallons that have leaked from day 4
to day 10.
To compute the exact value, we use the Fundamental Theorem of Calculus.
Antidifferentiating $$r(t) = 0.0069t^3 -0.125t^2+11.079$$, we find that
$$\int_4~^{10} (0.0069t^3 -0.125t^2+11.079) dt $$ = $$ . ( 0.0069 t^4 - 0.125
t^3 + 11.079t ) |_4^{10}
\approx 44.282.
Thus, approximately 44.282 gallons of pollutant leaked over the six day
time period.
To find the average rate at which pollutant leaked from the tank over
$$4 \le t \le 10$$, we want to compute the average value of $$r$$ on
$$[4,10]$$. Thus,
$$r_{\tiny{AVG}[4,10]} = \frac{1}{10-4} \int_4^{10} r(t) \, dt \approx \frac{44.282}{6} = 7.380,$$
which has its units measured in gallons per day.
!!Summary
---
In this section, we encountered the following important ideas:
---
* We can find the exact value of a definite integral without taking the limit of a Riemann sum or using a familiar area formula by finding the antiderivative of the integrand, and hence applying the Fundamental Theorem of Calculus.
* The Fundamental Theorem of Calculus says that if $$f$$ is a continuous function on $$[a,b]$$ and $$F$$ is an antiderivative of $$f$$, then
$$\int_a^b f(x) \, dx = F(b) - F(a).$$
Hence, if we can find an antiderivative for the integrand $$f$$, evaluating the definite integral comes from simply computing the change in $$F$$ on $$[a,b]$$.
* A slightly different perspective on the FTC allows us to restate it as the Total Change Theorem, which says that
$$\int_a^b f'(x) \, dx = f(b) - f(a),$$
for any continuously differentiable function $$f$$. This means that the definite integral of the instantaneous rate of change of a function $$f$$ on an interval $$[a,b]$$ is equal to the total change in the function $$f$$ on $$[a,b]$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A student with a third floor dormitory window 32 feet off the ground
tosses a water balloon straight up in the air with an initial velocity
of 16 feet per second. It turns out that the instantaneous velocity of
the water balloon is given by the velocity function $$v(t) = -32t + 16$$,
where $$v$$ is measured in feet per second and $$t$$ is measured in seconds.
''a)'' Let $$s(t)$$ represent the height of the water balloon above the ground at
time $$t$$, and note that $$s$$ is an antiderivative of $$v$$. That is, $$v$$ is
the derivative of $$s$$: $$s'(t) = v(t)$$. Find a formula for $$s(t)$$ that
satisfies the initial condition that the balloon is tossed from 32 feet
above ground. In other words, make your formula for $$s$$ satisfy
$$s(0) = 32$$.
''b)'' At what time does the water balloon reach its maximum height? At what
time does the water balloon land?
''c)'' Compute the three differences $$s(\frac{1}{2}) - s(0)$$,
$$s(2) - s(\frac{1}{2})$$, and $$s(2) - s(0)$$. What do these differences
represent?
''d)'' What is the total vertical distance traveled by the water balloon from
the time it is tossed until the time it lands?
''e)'' Sketch a graph of the velocity function $$y = v(t)$$ on the time interval
$$[0,2]$$. What is the total net signed area bounded by $$y = v(t)$$ and the
$$t$$-axis on $$[0,2]$$? Answer this question in two ways: first by using
your work above, and then by using a familiar geometric formula to
compute areas of certain relevant regions.
The Definite Integral {#C:4}
=====================
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that the function $$y = f(x)$$ is given by the graph shown in <<figreference 5_1_Act1.svg>>, and that the pieces of $$f$$ are either portions of lines or portions of circles. In addition, let $$F$$ be an antiderivative of $$f$$ and say that $$F(0) = -1$$. Finally, assume that for $$x \le 0$$ and $$x \ge 7$$, $$f(x) = 0$$.
''a)'' On what interval(s) is $$F$$ an increasing function? On what intervals is
$$F$$ decreasing?
''b)'' On what interval(s) is $$F$$ concave up? concave down? neither?
''c)'' At what point(s) does $$F$$ have a relative minimum? a relative maximum?
''d)'' Use the given information to determine the exact value of $$F(x)$$ for
$$x = 1, 2, \ldots, 7$$. In addition, what are the values of $$F(-1)$$ and
$$F(8)$$?
''e)'' Based on your responses to all of the preceding questions, sketch a
complete and accurate graph of $$y = F(x)$$ on the axes provided, being
sure to indicate the behavior of $$F$$ for $$x < 0$$ and $$x > 7$$. Clearly
indicate the scale on the vertical and horizontal axes of your graph.
''f)'' What happens if we change one key piece of information: in particular,
say that $$G$$ is an antiderivative of $$f$$ and $$G(0) = 0$$. How (if at all)
would your answers to the preceding questions change? Sketch a graph of
$$G$$ on the same axes as the graph of $$F$$ you constructed in (e).
Consider the sign of $$F' = f$$.
Consider the sign of $$F'' = f'$$.
Where does $$F' = f$$ change sign?
Recall that $$F(1) = F(0) + \int_0^1 f(t) \, dt$$.
Use the function values found in (d) and the earlier information
regarding the shape of $$F$$.
Note that $$G(1) = G(0) + \int_0^1 f(t) \, dt$$.
Consider the sign of $$F' = f$$ and recall that wherever $$F' > 0$$, $$F$$ is
increasing.
Consider the sign of $$F'' = f'$$ and recall that wherever $$F''>0$$, $$F$$ is
concave up. Note particularly that $$F''>0$$ if and only if $$f$$ is
increasing.
Where does $$F' = f$$ change sign? A relative maximum for $$F$$ will occur
wherever $$F'$$ changes from positive to negative.
Recall that $$F(1) = F(0) + \int_0^1 f(t) \, dt$$. Similarly,
$$F(2) = F(0) + \int_0^1 f(t) \, dt$$.
Use the function values found in (d) and the earlier information
regarding the shape of $$F$$.
Note that $$G(1) = G(0) + \int_0^1 f(t) \, dt$$. Since $$G(0) = 0$$ (while
$$F(0) = -1$$), this changes each response in (e) by the same constant
amount.
Wherever $$F' > 0$$, $$F$$ is increasing, so $$F$$ is increasing on $$(0,2)$$
and $$(5,7)$$, while $$F$$ is decreasing on $$(2,5)$$.
Wherever $$F''>0$$, $$F$$ is concave up; note particularly that $$F''>0$$ if
and only if $$f$$ is increasing. Thus, $$F$$ is concave up on $$(0,1)$$,
$$(4,6)$$, and concave down on $$(1,3)$$, $$(6,7)$$, and neither on $$(3,4)$$.
A relative maximum for $$F$$ will occur wherever $$F'$$ changes from
positive to negative, and thus at $$x = 2$$; similarly, $$F$$ has a relative
minimum at $$x = 5$$.
Recall that $$F(1) = F(0) + \int_0^1 f(t) \, dt$$, so
$$F(1) = -1 + \frac{1}{2} = -\frac{1}{2}$$. Similarly,
$$F(2) = F(0) + \int_0^1 f(t) \, dt = -1 + \frac{1}{2} + \frac{\pi}{4} = \frac{\pi}{4} - \frac{1}{2}$$.
Continuing these calculations, $$F(3) = \frac{\pi}{4} - 1$$,
$$F(4) = \frac{\pi}{4}-2$$, $$F(5) = \frac{\pi}{4} - \frac{5}{2}$$,
$$F(6) = \frac{\pi}{2} - \frac{5}{2}$$,
$$F(7) = \frac{3\pi}{4} - \frac{5}{2}$$. Furthermore, since $$f(t) = 0$$ for
all $$t < 0$$ and all $$t > 7$$, it follows
$$F(8) = \frac{3\pi}{4} - \frac{5}{2}$$ and $$F(-1) = -1$$.
Use the function values found in (d) and the earlier information
regarding the shape of $$F$$.
Note that $$G(1) = G(0) + \int_0^1 f(t) \, dt$$. Since $$G(0) = 0$$ (while
$$F(0) = -1$$), this changes each response in by 1: $$G(x) = F(x) + 1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following functions, sketch an accurate graph of the antiderivative that satisfies the given initial condition. In addition, sketch the graph of two additional antiderivatives of the given function, and state the corresponding initial conditions that each of them satisfy. If possible, find an algebraic formula for the antiderivative that satisfies the initial condition.
''a)'' original function: $$g(x) = \left| x \right| - 1$$;
<br>
initial condition: $$G(-1) = 0$$;
<br>
interval for sketch: $$[-2,2]$$
''b)'' original function: $$h(x) = \sin(x)$$;\
<br>
initial condition: $$H(0) = 1$$;\
<br>
interval for sketch: $$[0,4\pi]$$
''c)'' original function
<br>
{{EX.5.1.piecewise}}
<br>
initial condition: $$P(0) = 1$$;\
<br>
interval for sketch: $$[-1,3]$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$g$$ is given by the graph at left in <<figreference 5_1_Act3.svg>>
and that $$A$$ is the corresponding integral function defined by
$$A(x) = \int_1^x g(t) \, dt$$.
On what interval(s) is $$A$$ an increasing function? On what intervals is
$$A$$ decreasing? Why?
On what interval(s) do you think $$A$$ is concave up? concave down? Why?
At what point(s) does $$A$$ have a relative minimum? a relative maximum?
Use the given information to determine the exact values of $$A(0)$$,
$$A(1)$$, $$A(2)$$, $$A(3)$$, $$A(4)$$, $$A(5)$$, and $$A(6)$$.
Based on your responses to all of the preceding questions, sketch a
complete and accurate graph of $$y = A(x)$$ on the axes provided, being
sure to indicate the behavior of $$A$$ for $$x < 0$$ and $$x > 6$$.
How does the graph of $$B$$ compare to $$A$$ if $$B$$ is instead defined by
$$B(x) = \int_0^x g(t) \, dt$$?
Where is $$A$$ accumulating positive signed area?
As $$A$$ accumulates positive or negative signed area, where is the rate
at which such area is accumulated increasing?
Where does $$A$$ change from accumulating positive signed area to
accumulating negative signed area?
Note, for instance, that $$A(2) = \int_1^2 g(t) \, dt$$.
Use your work in (a)-(d) appropriately.
What is the value of $$B(0)$$? How does this compare to $$A(0)$$?
Where is $$A$$ accumulating positive signed area? Where is $$A$$
accumulating negative signed area?
As $$A$$ accumulates positive or negative signed area, where is the rate
at which such area is accumulated increasing? Contrast, for instance,
the behavior of $$A$$ on the intervals $$(0,1)$$ and $$(1,2)$$.
Where does $$A$$ change from accumulating positive signed area to
accumulating negative signed area? From negative to positive?
Note, for instance, that $$A(2) = \int_1^2 g(t) \, dt$$,
$$A(0) = \int_1^0 g(t) \, dt$$, and particularly that
$$A(1) = \int_1^1 g(t) \, dt = 0$$.
Use your work in (a)-(d) appropriately.
What is the value of $$B(0)$$? How does this compare to $$A02)$$? What if we
compare $$B(1)$$ and $$A(1)$$?
$$A$$ is accumulating positive signed area wherever $$g$$ is positive, and
thus $$A$$ is increasing on $$(0,1.5)$$, $$(4,6)$$; $$A$$ is accumulating
negative signed area and therefore decreasing wherever $$g$$ is negative,
which occurs on $$(1.5,4)$$.
Here we want to consider where $$A$$ is changing at an increasing rate
(concave up) or changing at a decreasing rate (concave down). On $$(0,1)$$
and $$(4,5)$$, $$A$$ is increasing, and we can also see that since $$g$$ is
increasing, $$A$$ is increasing at an increasing rate. Similarly, on
$$(3,4)$$ (where $$g$$ is negative so $$A$$ is decreasing), since $$g$$ is
increasing it follows that $$A$$ is decreasing at an increasing rate.
Thus, $$A$$ is concave up on $$(0,1)$$ and $$(3,5)$$. Analogous reasoning
shows that $$A$$ is concave down on $$(1,3)$$ and $$(5,6)$$.
Based on our work in (a), we see that $$A$$ changes from increasing to
decreasing at $$x = 1.5$$, and thus $$A$$ has a relative maximum there.
Similarly, $$A$$ has a relative minimum at $$x = 4$$.
Using the fact that $$g$$ is piecewise linear and the definition of $$A$$,
we find that
$$A(0) = \int_1^0 g(t) \, dt = -\int_0^1 g(t) \, dt = -\frac{1}{2}$$;
$$A(1) = \int_1^1 g(t) \, dt = 0$$; $$A(2) = \int_1^2 g(t) \, dt = 0$$.
Analogous reasoning shows that $$A(3) = -2$$, $$A(4) = -3.5$$, $$A(5) = -2$$,
$$A(6) = -0.5$$.
Use your work in (a)-(d) appropriately.
Note that $$B(0) = 0$$, while $$A(0) = -\frac{1}{2}$$. Likewise,
$$B(1) = \frac{1}{2}$$, while $$A(1) = 0$$. Indeed, we can see that for any
value of $$x$$, $$B(x) = A(x) + \frac{1}{2}$$.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' A moving particle has its velocity given by the quadratic function $$v$$
pictured in <<figreference 5_1_Ez1.svg>>. In addition, it is given that
$$A_1 = \frac{7}{6}$$ and $$A_2 = \frac{8}{3}$$, as well as that for the
corresponding position function $$s$$, $$s(0) = 0.5$$.
''a)'' Use the given information to determine $$s(1)$$, $$s(3)$$, $$s(5)$$, and
$$s(6)$$.
''b)'' On what interval(s) is $$s$$ increasing? On what interval(s) is $$s$$
decreasing?
''c)'' On what interval(s) is $$s$$ concave up? On what interval(s) is $$s$$
concave down?
''d)'' Sketch an accurate, labeled graph of $$s$$ on the axes at right in
Figure [F:5.1.Ez1].
''e)'' Note that $$v(t) = -2 + \frac{1}{2}(t-3)^2$$. Find a formula for $$s$$.
''2.'' A person exercising on a treadmill experiences different levels of
resistance and thus burns calories at different rates, depending on the
treadmill’s setting. In a particular workout, the rate at which a person
is burning calories is given by the piecewise constant function $$c$$
pictured in <<figreference 5_1_Ez2.svg>>. Note that the units on $$c$$ are “calories
per minute.”
''a)'' Let $$C$$ be an antiderivative of $$c$$. What does the function $$C$$ measure?
What are its units?
''b)'' Assume that $$C(0) = 0$$. Determine the exact value of $$C(t)$$ at the
values $$t = 5, 10, 15, 20, 25, 30$$.
''c)'' Sketch an accurate graph of $$C$$ on the axes provided at right in
Figure [F:5.1.Ez2]. Be certain to label the scale on the vertical axis.
''d)'' Determine a formula for $$C$$ that does not involve an integral and is
valid for $$5 \le t \le 10$$.
''3.'' Consider the piecewise linear function $$f$$ given in <<figreference 5_1_Ez3.svg>>.
Let the functions $$A$$, $$B$$, and $$C$$ be defined by the rules
$$A(x) = \int_{-1}^{x} f(t) \, dt$$, $$B(x) = \int_{0}^{x} f(t) \, dt$$, and
$$C(x) = \int_{1}^{x} f(t) \, dt$$.
''a)'' For the values $$x = -1, 0, 1, \ldots, 6$$, make a table that lists
corresponding values of $$A(x)$$, $$B(x)$$, and $$C(x)$$.
''b)'' On the axes provided in Figure [F:5.1.Ez3], sketch the graphs of $$A$$,
$$B$$, and $$C$$.
''c)'' How are the graphs of $$A$$, $$B$$, and $$C$$ related?
''d)'' How would you best describe the relationship between the function $$A$$
and the function $$f$$?
Given the graph of a function’s derivative, how can we construct a
completely accurate graph of the original function?
How many antiderivatives does a given function have? What do those
antiderivatives all have in common?
Given a function $$f$$, how does the rule $$A(x) = \int_0^x f(t) \, dt$$
define a new function $$A$$?
A recurring theme in our discussion of differential calculus has been
the question “Given information about the derivative of an unknown
function $$f$$, how much information can we obtain about $$f$$ itself?” For
instance, in <<reference 1.8.Act2>>, we explored the situation where the
graph of $$y = f'(x)$$ was known (along with the value of $$f$$ at a single
point) and endeavored to sketch a possible graph of $$f$$ near the known
point. In ''Example 3.1'' – and indeed throughout
<<reference 3.1.Tests>> – we investigated how the first derivative test
enables us to use information regarding $$f'$$ to determine where the
original function $$f$$ is increasing and decreasing, as well as where $$f$$
has relative extreme values. Further, if we know a formula or graph of
$$f'$$, by computing $$f''$$ we can find where the original function $$f$$ is
concave up and concave down. Thus, the combination of knowing $$f'$$ and
$$f''$$ enables us to fully understand the shape of the graph of $$f$$.
We returned to this question in even more detail in
<<reference 4.1.VelocityDistance>>; there, we considered the situation
where we knew the instantaneous velocity of a moving object and worked
from that information to determine as much information as possible about
the object’s position function. We found key connections between the
net-signed area under the velocity function and the corresponding change
in position of the function; in <<reference 4.4.FTC>>, the Total Change
Theorem further illuminated these connections between $$f'$$ and $$f$$ in a
more general setting, such as the one found in <<figreference 4_4_TCT.svg>>,
showing that the total change in the value of $$f$$ over an interval
$$[a,b]$$ is determined by the exact net-signed area bounded by $$f'$$ and
the $$x$$-axis on the same interval.
In what follows, we explore these issues still further, with a
particular emphasis on the situation where we possess an accurate graph
of the derivative function along with a single value of the function
$$f$$. From that information, we desire to completely determine an
accurate graph of $$f$$ that not only represents correctly where $$f$$ is
increasing, decreasing, concave up, and concave down, and also find an
accurate function value at any point of interest to us.
!!Constructing the graph of an antiderivative
<<reference 5.1.PA1>> demonstrates that when we can find the exact
area under a given graph on any given interval, it is possible to
construct an accurate graph of the given function’s antiderivative: that
is, we can find a representation of a function whose derivative is the
given one. While we have considered this question at different points
throughout our study, it is important to note here that we now can
determine not only the overall shape of the antiderivative, but also the
actual ''height'' of the antiderivative at any point of interest.
Indeed, this is one key consequence of the Fundamental Theorem of
Calculus: if we know a function $$f$$ and wish to know information about
its antiderivative, $$F$$, provided that we have some starting point $$a$$
for which we know the value of $$F(a)$$, we can determine the value of
$$F(b)$$ via the definite integral. In particular, since
$$F(b) - F(a) = \int_a^b f(x) \, dx$$, it follows that
$$F(b) = F(a) + \int_a^b f(x) dx.$$
Moreover, in the discussion surrounding <<figreference 4_4_TCT.svg>>, we made the
observation that differences in heights of a function correspond to
net-signed areas bounded by its derivative. Rephrasing this in terms of
a given function $$f$$ and its antiderivative $$F$$, we observe that on an
interval $$[a,b]$$,
''differences in heights on the antiderivative'' (''such as $$F(b) - F(a)$$'')
''correspond to the net-signed area bounded by the original function on
the interval $$[a,b]$$'' ($$\int_a^b f(x) \, dx$$).
For example, say that $$f(x) = x^2$$ and that we are interested in an
antiderivative of $$f$$ that satisfies $$F(1) = 2$$. Thinking of $$a = 1$$ and
$$b = 2$$ in ''Equation 5.1'', it follows from the Fundamental
Theorem of Calculus that
<center>
<table class="equationtable">
<tr><td> $$F(2) $$
</td><td>= $$F(1) + \int_1^2 x^2 dx $$ </td></tr>
<tr><td></td><td>= $$2 + \frac{1}{3}x^3 |_1^2 $$
</td></tr>
<tr><td></td><td>= $$ 2 + (\frac{8}{3} -\frac{1}{3} )\ $$
</td></tr>
<tr><td></td><td>= $$ \frac{13}{3} $$
</td></tr>
In this way, we see that if we are given a function $$f$$ for which we can
find the exact net-signed area bounded by $$f$$ on a given interval, along
with one value of a corresponding antiderivative $$F$$, we can find any
other value of $$F$$ that we seek, and in this way construct a completely
accurate graph of $$F$$. We have two main options for finding the exact
net-signed area: using the Fundamental Theorem of Calculus (which
requires us to find an algebraic formula for an antiderivative of the
given function $$f$$), or, in the case where $$f$$ has nice geometric
properties, finding net-signed areas through the use of known area
formulas.
!!Multiple antiderivatives of a single function
In the final question of <<reference 5.1.Act1>>, we encountered a very
important idea: a given function $$f$$ has more than one antiderivative.
In addition, any antiderivative of $$f$$ is determined uniquely by
identifying the value of the desired antiderivative at a single point.
For example, suppose that $$f$$ is the function given at left in
<<figreference 5_1_Ex1.svg>>, and we say that $$F$$ is an antiderivative of $$f$$ that satisfies
$$F(0) = 1$$.
Then, using ''Equation 5.1'', we can compute $$F(1) = 1.5$$,
$$F(2) = 1.5$$, $$F(3) = -0.5$$, $$F(4) = -2$$, $$F(5) = -0.5$$, and $$F(6) = 1$$,
plus we can use the fact that $$F' = f$$ to ascertain where $$F$$ is
increasing and decreasing, concave up and concave down, and has relative
extremes and inflection points. Through work similar to what we
encountered in <<reference 5.1.PA1>>] and <<reference 5.1.Act1>>, we
ultimately find that the graph of $$F$$ is the one given in blue in
<<figreference 5_1_Act1.svg>>.
If we instead chose to consider a function $$G$$ that is an antiderivative
of $$f$$ but has the property that $$G(0) = 3$$, then $$G$$ will have the
exact same shape as $$F$$ (since both share the derivative $$f$$), but $$G$$
will be shifted vertically away from the graph of $$F$$, as pictured in
red in Figure [F:5.1.Act1]. Note that
$$G(1) - G(0) = \int_0^1 f(x) \, dx = 0.5$$, just as $$F(1) - F(0) = 0.5,$$,
but since $$G(0) = 3$$, $$G(1) = G(0) + 0.5 = 3.5$$, whereas
$$F(1) = F(0) + 0.5 = 1.5$$, since $$F(0) = 1$$. In the same way, if we
assigned a different initial value to the antiderivative, say
$$H(0) = -1$$, we would get still another antiderivative, as shown in
magenta in <<figreference 5_1_Act1.svg>>.
This example demonstrates an important fact that holds more generally:
<table>
If $$G$$ and $$H$$ are both antiderivatives of a function $$f$$, then the function $$G - H$$ must be constant.
To see why this result holds, observe that if $$G$$ and $$H$$ are both
antiderivatives of $$f$$, then $$G' = f$$ and $$H' = f$$. Hence,
$$\frac{d}{dx}[ G(x) - H(x) ] = G'(x) - H'(x) = f(x) - f(x) = 0$$. Since
the only way a function can have derivative zero is by being a constant
function, it follows that the function $$G - H$$ must be constant.
Further, we now see that if a function has a single antiderivative, it
must have infinitely many: we can add any constant of our choice to the
antiderivative and get another antiderivative. For this reason, we
sometimes refer to the ''general antiderivative'' of a function $$f$$. For
example, if $$f(x) = x^2$$, its general antiderivative is
$$F(x) = \frac{1}{3}x^3 + C$$, where we include the “$$+C$$” to indicate
that $$F$$ includes ''all'' of the possible antiderivatives of $$f$$. To
identify a particular antiderivative of $$f$$, we must be provided a
single value of the antiderivative $$F$$ (this value is often called an
''initial condition''). In the present example, suppose that condition is
$$F(2) = 3$$; substituting the value of 2 for $$x$$ in
$$F(x) = \frac{1}{3}x^3 + C$$, we find that
$$3 = \frac{1}{3}(2)^3 + C,$$
and thus $$C = 3 - \frac{8}{3} = \frac{1}{3}$$. Therefore, the particular
antiderivative in this case is $$F(x) = \frac{1}{3}x^3 + \frac{1}{3}.$$
!!Functions defined by integrals
In ''Equation 5.1'', we found an important rule that enables us to
compute the value of the antiderivative $$F$$ at a point $$b$$, provided
that we know $$F(a)$$ and can evaluate the definite integral from $$a$$ to
$$b$$ of $$f$$. Again, that rule is
$$F(b) = F(a) + \int_a^b f(x) \, dx.$$
In several examples, we have used this formula to compute several
different values of $$F(b)$$ and then plotted the points $$(b,F(b))$$ to
assist us in generating an accurate graph of $$F$$. That suggests that we
may want to think of $$b$$, the upper limit of integration, as a variable
itself. To that end, we introduce the idea of an ''integral function'', a
function whose formula involves a definite integral.
Given a continuous function $$f$$, we define the corresponding integral
function $$A$$ according to the rule
$$A(x) = \int_a^x f(t) dt.$$
Note particularly that because we are using the variable $$x$$ as the
independent variable in the function $$A$$, and $$x$$ determines the other
endpoint of the interval over which we integrate (starting from $$a$$), we
need to use a variable other than $$x$$ as the variable of integration. A
standard choice is $$t$$, but any variable other than $$x$$ is acceptable.
One way to think of the function $$A$$ is as the “net-signed area from $$a$$
up to $$x$$” function, where we consider the region bounded by $$y = f(t)$$
on the relevant interval. For example, in <<figreference 5_1_IntFxn.svg>>, we see
a given function $$f$$ pictured at left, and its corresponding area
function (choosing $$a = 0$$), $$A(x) = \int_0^x f(t) \, dt$$ shown at
right.
<<figure 5_1_IntFxn.svg>>
Note particularly that the function $$A$$ measures the net-signed area
from $$t = 0$$ to $$t = x$$ bounded by the curve $$y = f(t)$$; this value is
then reported as the corresponding height on the graph of $$y = A(x)$$. It
is even more natural to think of this relationship between $$f$$ and $$A$$
dynamically. At http://gvsu.edu/s/cz, we find
a java applet <<footnote "[1]" "David Austin, Grand Valley State University
" >> that brings the static picture in
<<figreference 5_1_IntFxn.svg>> to life. There, the user can move the red point on
the function $$f$$ and see how the corresponding height changes at the
light blue point on the graph of $$A$$.
The choice of $$a$$ is somewhat arbitrary. In the activity that follows,
we explore how the value of $$a$$ affects the graph of the integral
function, as well as some additional related issues.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Given the graph of a function $$f$$, we can construct the graph of its antiderivative $$F$$ provided that (a) we know a starting value of $$F$$, say $$F(a)$$, and (b) we can evaluate the integral $$\int_a^b f(x) \, dx$$ exactly for relevant choices of $$a$$ and $$b$$. For instance, if we wish to know $$F(3)$$, we can compute $$F(3) = F(a) + \int_a^3 f(x) \, dx$$. When we combine this information about the function values of $$F$$ together with our understanding of how the behavior of $$F' = f$$ affects the overall shape of $$F$$, we can develop a completely accurate graph of the antiderivative $$F$$.
* Because the derivative of a constant is zero, if $$F$$ is an antiderivative of $$f$$, it follows that $$G(x) = F(x) + C$$ will also be an antiderivative of $$f$$. Moreover, any two antiderivatives of a function $$f$$ differ precisely by a constant. Thus, any function with at least one antiderivative in fact has infinitely many, and the graphs of any two antiderivatives will differ only by a vertical translation.
* Given a function $$f$$, the rule $$A(x) = \int_a^x f(t) \, dt$$ defines a new function $$A$$ that measures the net-signed area bounded by $$f$$ on the interval $$[a,x]$$. We call the function $$A$$ the integral function corresponding to $$f$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose that the following information is known about a function $$f$$:
the graph of its derivative, $$y = f'(x)$$, is given in
<<figreference 5_1_PA1.svg>> Further, assume that $$f'$$ is piecewise linear (as
pictured) and that for $$x \le 0$$ and $$x \ge 6$$, $$f'(x) = 0$$. Finally, it
is given that $$f(0) = 1$$.
''a)'' On what interval(s) is $$f$$ an increasing function? On what intervals is
$$f$$ decreasing?
''b)'' On what interval(s) is $$f$$ concave up? concave down?
''c)'' At what point(s) does $$f$$ have a relative minimum? a relative maximum?
''d)'' Recall that the Total Change Theorem tells us that
$$f(1) - f(0) = \int_0^1 f'(x) \, dx.$$
What is the exact value of
$$f(1)$$?
''e)'' Use the given information and similar reasoning to that in (d) to
determine the exact value of $$f(2)$$, $$f(3)$$, $$f(4)$$, $$f(5)$$, and $$f(6)$$.
''f)'' Based on your responses to all of the preceding questions, sketch a
complete and accurate graph of $$y = f(x)$$ on the axes provided, being
sure to indicate the behavior of $$f$$ for $$x < 0$$ and $$x > 6$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$f$$ is the function given in <<figreference 5_2_Act1.svg>> and that $f$ is a piecewise function whose parts are either portions of lines or portions of circles, as pictured.
In addition, let $$A$$ be the function defined by the rule
$$A(x) = \int_2^x f(t) \, dt$$.
''a)'' What does the Second FTC tell us about the relationship between $$A$$ and
$$f$$?
''b)'' Compute $$A(1)$$ and $$A(3)$$ exactly.
''c)'' Sketch a precise graph of $$y = A(x)$$ on the axes at right that
accurately reflects where $$A$$ is increasing and decreasing, where $$A$$ is
concave up and concave down, and the exact values of $$A$$ at
$$x = 0, 1, \ldots, 7$$.
''d)'' How is $$A$$ similar to, but different from, the function $$F$$ that you
found in Activity [A:5.1.1]?
''e)'' With as little additional work as possible, sketch precise graphs of the
functions $$B(x) = \int_3^x f(t) \, dt$$ and $$C(x) = \int_1^x f(t) \, dt$$.
Justify your results with at least one sentence of explanation.
If you don’t recall it, review the statement of the Second FTC above.
Note that $$A(1)= \int_2^1 f(t) \, dt$$.
Don’t miss our key conclusion from (a).
Compare the values of $$A(1)$$ and $$F(1)$$.
What does the Second FTC tell us about the relationship between $$B$$ and
$$f$$?
Review the statement of the Second FTC above; what does that theorem
tell you about $$A'$$?
Note that $$A(1)= \int_2^1 f(t) \, dt$$; don’t forget that
$$\int_2^1 f(t) \, dt = -\int_1^2 f(t) \, dt$$.
Don’t miss our key conclusion from (a), which enables us to gain
information from the derivative of $$A$$ about where $$A$$ is increasing,
decreasing, concave up, and concave down.
Compare the values of $$A(1)$$ and $$F(1)$$; note that $$F$$ could be
equivalently defined by the rule $$F(x) = \int_0^x f(t) \, dt - 1$$.
What does the Second FTC tell us about the relationship between $$B$$ and
$$f$$? Between $$C$$ and $$f$$? Note, too, that we can write
$$B(x) = F(x) - F(3)$$, where $$F$$ is any antiderivative of $$f$$.
By the Second FTC, $$A'(x) = f(x)$$.
Since $$A(1)= \int_2^1 f(t) \, dt = -\int_1^2 f(t) \, dt$$, it follows
$$A(1) = -\frac{\pi}{4}$$.
Note that $$A$$ is increasing wherever $$f$$ is positive, and $$A$$ is CCU
wherever $$f$$ is increasing. Similar conclusions follow for $$A$$ being
decreasing and/or concave down. Moreover, $$A(2) = 0$$, $$A(3) = -0.5$$,
$$A(4) = -1.5$$, $$A(5) = -2$$, $$A(6) = -2 + \frac{\pi}{4}$$, and
$$A(7) = -2 + \frac{\pi}{2}$$.
In our current example, $$A$$ is an antiderivative of $$f$$ that satisfies
$$A(0) = -\frac{1}{2} - \frac{\pi}{4}$$. Our earlier work with $$F$$ showed
that $$F$$ is an antiderivative of $$F$$ that satisfied $$F(0) = -1$$. Since
$$F$$ and $$A$$ are both antiderivatives of $$f$$, they differ by a constant,
and that constant is
$$-1 - (-\frac{1}{2} - \frac{\pi}{4}) = \frac{\pi}{4} - \frac{1}{2}$$.
The Second FTC tells us that $$B' = f$$ and $$C' = f$$. Thus, $$B$$ and $$C$$
are each antiderivatives of $$f$$, have the same shape as $$A$$ and $$F$$, and
each differ from $$A$$ by just a constant. Observing that $$B(3) = 0$$ and
$$C(1) = 0$$ enables us to easily sketch these shifted versions of $$A$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that $$f(t) = \frac{t}{1+t^2}$$ and $$F(x) = \int_0^x f(t) \, dt$$.
''a)'' On the axes at left in Figure [F:5.2.Act2], plot a graph of
$$f(t) = \frac{t}{1+t^2}$$ on the interval $$-10 \le t \le 10$$. Clearly
label the vertical axes with appropriate scale.
''b)'' What is the key relationship between $$F$$ and $$f$$, according to the
Second FTC?
''c)'' Use the first derivative test to determine the intervals on which $$F$$ is
increasing and decreasing.
''d)'' Use the second derivative test to determine the intervals on which $$F$$
is concave up and concave down. Note that $$f'(t)$$ can be simplified to
be written in the form $$f'(t) = \frac{1-t^2}{(1+t^2)^2}.$$
''e)'' Using technology appropriately, estimate the values of $$F(5)$$ and
$$F(10)$$ through appropriate Riemann sums.
''f)'' Sketch an accurate graph of $$y = F(x)$$ on the righthand axes provided,
and clearly label the vertical axes with appropriate scale.
Use computing technology appropriately to generate the desired graph.
Again, recall the statement of the Second FTC.
Where is $$F'$$ positive? $$F'$$ negative?
Note that $$F'' = f'$$.
Remember that $$F(5) = \int_0^5 \frac{t}{1+t^2} \, dt$$.
Don’t forget that $$F(0) = 0$$.
Use computing technology appropriately to generate the desired graph.
Again, recall the statement of the Second FTC.
Where is $$F'$$ positive? $$F'$$ negative? Remember that $$F$$ is increasing
wherever $$F'$$ is positive.
Note that $$F'' = f'$$, which tells us that
$$F''(t) = \frac{1-t^2}{(1+t^2)^2}$$. Where is $$F''$$ positive? negative?
Remember that $$F(5) = \int_0^5 \frac{t}{1+t^2} \, dt$$. Try a midpoint
sum with at least 10 subintervals.
Don’t forget that $$F(0) = 0$$. Use the values and information you’ve
found in (b)-(e).
$$F' = f$$, by the Second FTC.
$$F$$ is increasing wherever $$F'=f$$ is positive, so for all $$x > 0$$.
Similarly, $$F$$ is decreasing for $$x < 0$$
$$F$$ is CCU wherever $$F' = f$$ is increasing or wherever $$F'' = f'$$ is
positive. It is straightforward to show that $$f''$$ is positive for
$$-1 < x < 1$$ and negative otherwise, thus $$F$$ is CCU on $$-1 < x < 1$$ and
CCD for $$x < -1$$ and $$x > 1$$.
$$F(5) = \int_0^5 \frac{t}{1+t^2} \, dt \approx 2.35973$$, using a
midpoint Riemann sum with 10 subintervals. Similarly,
$$F(10) = \int_0^{10} \frac{t}{1+t^2} \, dt \approx 2.35973$$.
Recalling that $$F(0) = 0$$ and using the values and information we’ve
found in (b)-(e), we arrive at the graph at below right.
![image](figures/5_2_Act2_soln.eps)
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following derivatives and definite integrals.
Clearly cite whether you use the First or Second FTC in so doing.
''a)'' $$\frac{d}{dx} \left[ \int_4^x e^{t^2} \, dt \right]$$
''b)'' $$\int_{-2}^x \frac{d}{dt} \left[ \frac{t^4}{1+t^4} \right] \, dt$$
''c)'' $$\frac{d}{dx} \left[ \int_{x}^1 \cos(t^3) \, dt \right]$$
''d)'' $$\int_{3}^x \frac{d}{dt} \left[ \ln(1+t^2) \right] \, dt$$
''e)'' $$\frac{d}{dx} \left[ \int_4^{x^3} \sin(t^2) \, dt \right]$$
<br>
(Hint: Let $$F(x) = \int_4^x \sin(t^2) \, dt$$ and observe that this
problem is asking you to evaluate $$\frac{d}{dx} \left[F(x^3)] \right]$$).
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let $$g$$ be the function pictured below at left, and let $$F$$ be defined
by $$F(x) = \int_{2}^x g(t) \, dt.$$ Assume that the shaded areas have
values $$A_1 = 4.3$$, $$A_2 = 12.7$$, $$A_3 = 0.4$$, and $$A_4 = 1.8$$. Assume
further that the portion of $$A_2$$ that lies between $$x = 0.5$$ and
$$x = 2$$ is $$5.4$$.
Sketch a carefully labeled graph of $$F$$ on the axes provided, and
include a written analysis of how you know where $$g$$ is zero,
increasing, decreasing, CCU, and CCD.
''2.'' The tide removes sand from the beach at a small ocean park at a rate
modeled by the function
$$R(t) = 2 + 5\sin \left( \frac{4\pi t}{25} \right)$$
A pumping station adds sand to the beach at rate modeled by the function
$$S(t) = \frac{15t}{1+3t}$$
Both $$R(t)$$ and $$S(t)$$ are measured in cubic yards of sand per hour, $$t$$
is measured in hours, and the valid times are $$0 \le t \le 6$$. At time
$$t = 0$$, the beach holds 2500 cubic yards of sand.
''a)'' What definite integral measures how much sand the tide will remove
during the time period $$0 \le t \le 6$$? Why?
''b)'' Write an expression for $$Y(x)$$, the total number of cubic yards of sand
on the beach at time $$x$$. Carefully explain your thinking and reasoning.
''c)'' At what instantaneous rate is the total number of cubic yards of sand on
the beach at time $$t = 4$$ changing?
''d)'' Over the time interval $$0 \le t \le 6$$, at what time $$t$$ is the amount
of sand on the beach least? What is this minimum value? Explain and
justify your answers fully.
When an aircraft attempts to climb as rapidly as
possible, its climb rate (in feet per minute) decreases as altitude
increases, because the air is less dense at higher altitudes.
Given below is a table showing performance data for a certain single engine aircraft, giving its climb rate at various altitudes,
where $$c(h)$$ denotes the climb rate of the airplane at an altitude $$h$$.
[img width="100%" [ex.5.2.table]]
Let a new function $$m$$, that also depends on $$h$$, (say $$y = m(h)$$)
measure the number of minutes required for a plane at altitude $$h$$ to climb the next foot of altitude.
''a)'' Determine a similar table of values for $$m(h)$$ and explain how it is
related to the table above. Be sure to discuss the units on $$m$$.
''b)'' Give a careful interpretation of a function whose derivative
is $$m(h)$$. Describe what the input is and what the output is. Also, explain in plain English what the function tells us.
''c)'' Determine a definite integral whose value tells us exactly the number of
minutes required for the airplane to ascend to 10,000 feet of altitude. Clearly explain why the value of this integral
has the required meaning.
''d)'' Determine a formula for a function $$M(h)$$ whose value tells us the exact
number of minutes required for the airplane to ascend to $$h$$ feet of
altitude.
''e)'' Estimate the values of $$M(6000)$$ and $$M(10000)$$ as accurately as you
can. Include units on your results.
How does the integral function $$A(x) = \int_1^x f(t) \, dt$$ define an
antiderivative of $$f$$?
What is the statement of the Second Fundamental Theorem of Calculus?
How do the First and Second Fundamental Theorems of Calculus enable us
to formally see how differentiation and integration are almost inverse
processes?
In <<reference 4.4.FTC>>, we learned the Fundamental Theorem of Calculus
(FTC), which from here forward will be referred to as the ''First''
Fundamental Theorem of Calculus, as in this section we develop a
corresponding result that follows it. In particular, recall that the
First FTC tells us that if $$f$$ is a continuous function on $$[a,b]$$ and
$$F$$ is any antiderivative of $$f$$ (that is, $$F' = f$$), then
$$\int_a^b f(x) \, dx = F(b) - F(a).$$
We have typically used this result in two settings: (1) where $$f$$ is a
function whose graph we know and for which we can compute the exact area
bounded by $$f$$ on a certain interval $$[a,b]$$, we can compute the change
in an antiderivative $$F$$ over the interval; and (2) where $$f$$ is a
function for which it is easy to determine an algebraic formula for an
antiderivative, we may evaluate the integral exactly and hence determine
the net-signed area bounded by the function on the interval. For the
former, see <<reference 5.1.Act1>> or <<reference 5.1.Act1>>. For the
latter, we can easily evaluate exactly integrals such as
since we know that the function $$F(x) = \frac{1}{3}x^3$$ is an
antiderivative of $$f(x) = x^2$$. Thus,
<center>
<table class="equationtable">
<tr><td> $$\int_1^4 x^2 dx$$
</td><td>= $$\frac{1}{3}x^3 |_1^4 $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{3}(4)^3- \frac{1}{3}(1)^3 $$
</td></tr>
<tr><td></td><td>= $$21 $$
</td></tr>
Here we see that the First FTC can be viewed from at least two
perspectives: first, as a tool to find the difference $$F(b) - F(a)$$ for
an antiderivative $$F$$ of the integrand $$f$$. In this situation, we need
to be able to determine the value of the integral $$\int_a^b f(x) \, dx$$
exactly, perhaps through known geometric formulas for area. It is
possible that we may not have a formula for $$F$$ itself. From a second
perspective, the First FTC provides a way to find the exact value of a
definite integral, and hence a certain net-signed area exactly, by
finding an antiderivative of the integrand and evaluating its total
change over the interval. In this latter case, we need to know a formula
for the antiderivative $$F$$, as this enables us to compute net-signed
areas exactly through definite integrals, as demonstrated in
<<figreference 5_2_Intro.svg>>.
We recall further that the value of a definite integral may have
additional meaning depending on context: change in position when the
integrand is a velocity function, total pollutant leaked from a tank
when the integrand is the rate at which pollution is leaking, or other
total changes that correspond to a given rate function that is the
integrand. In addition, the value of the definite integral is always
connected to the average value of a continuous function on a given
interval:
$$f_{{\tiny{AVG}}[a,b]} = \frac{1}{b-a} \int_a^b f(x) \, dx$$.
Next, remember that in the last part of <<reference 5.1.AntiDGraphs>>., we
studied integral functions of the form $$A(x) = \int_c^x f(t) \, dt$$.
<<figreference 5_1_IntFxn.svg>> is a particularly important image to keep in mind
as we work with integral functions, and the corresponding java applet at
http://gvsu.edu/s/cz is likewise foundational
to our understanding of the function $$A$$. In what follows, we use the
First FTC to gain additional understanding of the function
$$A(x) = \int_c^x f(t) \, dt$$, where the integrand $$f$$ is given (either
through a graph or a formula), and $$c$$ is a constant. In particular, we
investigate further the special nature of the relationship between the
functions $$A$$ and $$f$$.
!!The Second Fundamental Theorem of Calculus
The result of <<reference 5.2.PA1>> is not particular to the
function $$f(t) = 4-2t$$, nor to the choice of “$$1$$” as the lower bound in
the integral that defines the function $$A$$. For instance, if we let
$$f(t) = \cos(t) - t$$ and set $$A(x) = \int_2^x f(t) \, dt$$, then we can
determine a formula for $$A$$ without integrals by the First FTC.
Specifically,
<center>
<table class="equationtable">
<tr><td> $$ A(x) $$
</td><td>= $$\int_2^x (\cos(t) - t) dt $$ </td></tr>
<tr><td></td><td>= $$\sin(t) - \frac{}{} t^2|_2^x $$
</td></tr>
<tr><td></td><td>= $$\sin(x) - \frac{1}{2}x^2 - (\sin(2) - 2) $$
</td></tr>
Differentiating $$A(x)$$, since $$(\sin(2) - 2)$$ is constant, it follows
that
and thus we see that $$A'(x) = f(x)$$. This tells us that for this
particular choice of $$f$$, $$A$$ is an antiderivative of $$f$$. More
specifically, since $$A(2) = \int_2^2 f(t) \, dt = 0$$, $$A$$ is the only
antiderivative of $$f$$ for which $$A(2) = 0$$.
In general, if $$f$$ is any continuous function, and we define the
function $$A$$ by the rule
$$A(x) = \int_c^x f(t) \, dt,$$
where $$c$$ is an arbitrary constant, then we can show that $$A$$ is an
antiderivative of $$f$$. To see why, let’s demonstrate that $$A'(x) = f(x)$$
by using the limit definition of the derivative. Doing so, we observe
that
<center>
<table class="equationtable">
<tr><td> $$A'(x) $$
</td><td>= $$\lim_{h \to 0} \frac{A(x+h)- A(x)}{h}$$ </td></tr>
<tr><td></td><td>= $$\lim_{h \to 0} \frac{\int_c^{x+h}f(t)dt- \int_c^x f(t)dt}{h} $$
</td></tr>
<tr><td></td><td>= $$\lim_{h \to 0} \frac{\int_x^{x+h}f(t)dt}{h} $$
</td></tr>
where ''Equation 5.3'' in the preceding chain follows from the
fact that
$$\int_c^x f(t) \,dt + \int_x^{x+h} f(t) \, dt = \int_c^{x+h} f(t) \, dt$$.
Now, observe that for small values of $$h$$,
$$\int_x^{x+h} f(t) \, dt \approx f(x) \cdot h,$$
by a simple left-hand approximation of the integral. Thus, as we take
the limit in ''Equation 5.3'', it follows that
$$A'(x) = \lim_{h \to 0} \frac{\int_x^{x+h} f(t) \, dt}{h} = \lim_{h \to 0} \frac{f(x) \cdot h}{h} = f(x).$$
Hence, $$A$$ is indeed an antiderivative of $$f$$. In addition,
$$A(c) = \int_c^c f(t) \, dt = 0.$$ The preceding argument demonstrates
the truth of the Second Fundamental Theorem of Calculus, which we state
as follows.
<table>
''Theorem.'' (Second FTC) If f is a continuous function and c is any constant, then f
has a unique antiderivative A that satisfies A(c) = 0, and that antiderivative is given
by the rule
<br>
<center>
$$A(x) = \int_c^x f(t)dt.$$
!!Understanding Integral Functions
The Second FTC provides us with a means to construct an antiderivative
of any continuous function. In particular, if we are given a continuous
function $$g$$ and wish to find an antiderivative of $$G$$, we can now say
that
$$G(x) = \int_c^x g(t) \, dt$$
provides the rule for such an antiderivative, and moreover that
$$G(c) = 0$$. Note especially that we know that $$G'(x) = g(x)$$. We
sometimes want to write this relationship between $$G$$ and $$g$$ from a
different notational perspective. In particular, observe that
$$\frac{d}{dx}[\int_c^x g(x)dt]= g(x).
This result can be particularly useful when we’re given an integral
function such as $$G$$ and wish to understand properties of its graph by
recognizing that $$G'(x) = g(x)$$, while not necessarily being able to
exactly evaluate the definite integral $$\int_c^x g(t) \, dt$$. To see how
this is the case, we consider the following example.
''Example 5.1'' Investigate the behavior of the integral function
$$E(x) = \int_0^x e^{-t^2} \, dt.$$
''Solution.'' $$E$$ is closely related to the well known ''error function'' <<footnote [2] "The error function is defined by the rule
$${erf}(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} \,dt$$ and
has the key property that $$0 \le {erf}(x) < 1$$ for all
$$x \ge 0$$ and moreover that
$$\lim_{x \to \infty} {erf}(x) = 1$$.
">>, a
function that is particularly important in probability and statistics.
It turns out that the function $$e^{-t^2}$$ does not have an elementary
antiderivative that we can express without integrals. That is, whereas a
function such as $$f(t) = 4-2t$$ has elementary antiderivative
$$F(t) = 4t - t^2$$, we are unable to find a simple formula for an
antiderivative of $$e^{-t^2}$$ that does not involve a definite integral.
We will learn more about finding (complicated) algebraic formulas for
antiderivatives without definite integrals in the chapter on infinite
series.
Returning our attention to the function $$E$$, while we cannot evaluate
$$E$$ exactly for any value other than $$x = 0$$, we still can gain a tremendous amount of information about the function
$$E$$. To begin, applying the rule in ''Equation 5.4'' to $$E$$, it
follows that
$$E'(x) = \frac{d}{dx} \left[ \int_0^x e^{-t^2} \, dt \right] = e^{-x^2},$$
so we know a formula for the derivative of $$E$$. Moreover, we know that
$$E(0) = 0$$. This information is precisely the type we were given in
problems such as the one in <<reference 3.1.Act1>> and others in
<<reference 3.1.Tests>>, where we were given information about the
derivative of a function, but lacked a formula for the function itself.
Here, using the first and second derivatives of $$E$$, along with the fact
that $$E(0) = 0$$, we can determine more information about the behavior of
$$E$$. First, with $$E'(x) = e^{-x^2}$$, we note that for all real numbers
$$x$$, $$e^{-x^2} > 0$$, and thus $$E'(x) > 0$$ for all $$x$$. Thus $$E$$ is an
always increasing function. Further, we note that as $$x \to \infty$$,
$$E'(x) = e^{-x^2} \to 0$$, hence the slope of the function $$E$$ tends to
zero as $$x \to \infty$$ (and similarly as $$x \to -\infty$$). This tells us
that $$E$$ has horizontal asymptotes as $$x$$ increases or decreases without
bound.
In addition, we can observe that $$E''(x) = -2xe^{-x^2}$$, and that
$$E''(0) = 0$$, while $$E''(x) < 0$$ for $$x > 0$$ and $$E''(x) > 0$$ for
$$x < 0$$. This information tells us that $$E$$ is concave up for $$x<0$$ and
concave down for $$x > 0$$ with a point of inflection at $$x = 0$$.
The only thing we lack at this point is a sense of how big $$E$$ can get
as $$x$$ increases. If we use a midpoint Riemann sum with 10 subintervals
to estimate $$E(2)$$, we see that $$E(2) \approx 0.8822$$; a similar
calculation to estimate $$E(3)$$ shows little change
($$E(3) \approx 0.8862$$), so it appears that as $$x$$ increases without
bound, $$E$$ approaches a value just larger than $$0.886$$. Putting all of
this information together (and using the symmetry of $$f(t) = e^{-t^2}$$),
we see the results shown in <<figreference 5_2_erf.svg>>.
Again, $$E$$ is the antiderivative of $$f(t) = e^{-t^2}$$ that satisfies
$$E(0) = 0$$. Moreover, the values on the graph of $$y = E(x)$$ represent
the net-signed area of the region bounded by $$f(t) = e^{-t^2}$$ from 0 up
to $$x$$. We see that the value of $$E$$ increases rapidly near zero but
then levels off $$x$$ increases since there is less and less additional
accumulated area bounded by $$f(t) = e^{-t^2}$$ as $$x$$ increases.
!!Differentiating an Integral Function
We have seen that the Second FTC enables us to construct an
antiderivative $$F$$ of any continuous function $$f$$ by defining $$F$$ by the
corresponding integral function $$F(x) = \int_c^x f(t) \, dt$$. Said
differently, if we have a function of the form
$$F(x) = \int_c^x f(t) \, dt$$, then we know that
$$F'(x) = \frac{d}{dx} \left[\int_c^x f(t) \, dt \right] = f(x)$$. This
shows that integral functions, while perhaps having the most complicated
formulas of any functions we have encountered, are nonetheless
particularly simple to differentiate. For instance, if
$$F(x) = \int_{\pi}^x \sin(t^2) \, dt,$$
then by the Second FTC, we know immediately that
Stating this result more generally for an arbitrary function $$f$$, we
know by the Second FTC that
$$\frac{d}{dx} \left[ \int_a^x f(t) \, dt \right] = f(x).$$
In words, the last equation essentially says that “the derivative of the
integral function whose integrand is $$f$$, is $$f$$.” In this sense, we see
that if we first integrate the function $$f$$ from $$t = a$$ to $$t = x$$, and
then differentiate with respect to $$x$$, these two processes “undo” one
another.
Taking a different approach, say we begin with a function $$f(t)$$ and
differentiate with respect to $$t$$. What happens if we follow this by
integrating the result from $$t = a$$ to $$t = x$$? That is, what can we say
about the quantity
$$\int_a^x \frac{d}{dt} \left[ f(t) \right] \, dt?$$
Here, we use the First FTC and note that $$f(t)$$ is an antiderivative of
$$\frac{d}{dt} \left[ f(t) \right].$$ Applying this result and evaluating
the antiderivative function, we see that
<center>
<table class="equationtable">
<tr><td> $$\int_a^x \frac{d}{dt} \left[ f(t) \right] \, dt $$
</td><td>= $$f(t)|_a^x $$ </td></tr>
<tr><td></td><td>= $$f(x) - f(a) $$
Thus, we see that if we apply the processes of first differentiating $$f$$
and then integrating the result from $$a$$ to $$x$$, we return to the
function $$f$$, minus the constant value $$f(a)$$. So in this situation, the
two processes almost undo one another, up to the constant $$f(a)$$.
The observations made in the preceding two paragraphs demonstrate that
differentiating and integrating (where we integrate from a constant up
to a variable) are almost inverse processes. In one sense, this should
not be surprising: integrating involves antidifferentiating, which
reverses the process of differentiating. On the other hand, we see that
there is some subtlety involved, as integrating the derivative of a
function does not quite produce the function itself. This is connected
to a key fact we observed in <<reference 5.1.AntiDGraphs>>, which is that
any function has an entire family of antiderivatives, and any two of
those antiderivatives differ only by a constant.
!!Summary
---
In this section, we encountered the following important ideas:
---
* For a continuous function $$f$$, the integral function $$A(x) = \int_1^x f(t) \, dt$$ defines an antiderivative of $$f$$.
* The Second Fundamental Theorem of Calculus is the formal, more general statement of the preceding fact: if $$f$$ is a continuous function and $$c$$ is any constant, then $$A(x) = \int_c^x f(t) \, dt$$ is the unique antiderivative of $$f$$ that satisfies $$A(c) = 0$$.
* Together, the First and Second FTC enable us to formally see how differentiation and integration are almost inverse processes through the observations that
$$\int_c^x \frac{d}{dt} \left[ f(t) \right] \, dt = f(x) - f(c)$$
$$\frac{d}{dx} \left[ \int_c^x f(t) \, dt \right] = f(x).$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the function $$A$$ defined by the rule
$$A(x) = \int_1^x f(t) \, dt,$$
''a)'' Compute $$A(1)$$ and $$A(2)$$ exactly.
''b)'' Use the First Fundamental Theorem of Calculus to find an equivalent
formula for $$A(x)$$ that does not involve integrals. That is, use the
first FTC to evaluate $$\int_1^x (4-2t) \, dt$$.
''c)'' Observe that $$f$$ is a linear function; what kind of function is $$A$$?
''d)'' Using the formula you found in (b) that does not involve integrals,
compute $$A'(x)$$.
''e)'' While we have defined $$f$$ by the rule $$f(t) = 4-2t$$, it is equivalent to
say that $$f$$ is given by the rule $$f(x) = 4 - 2x$$. What do you observe
about the relationship between $$A$$ and $$f$$?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following indefinite integrals. Check each antiderivative that you find by differentiating.
''a)'' $$\int \sin(8-3x) \, dx$$
''b)'' $$\int \sec^2 (4x) \, dx$$
''c)'' $$\int \frac{1}{11x - 9} \, dx$$
''d)'' $$\int \csc(2x+1) \cot(2x+1) \, dx$$
''e)'' $$\int \frac{1}{\sqrt{1-16x^2}}\, dx$$
''f)'' $$\int 5^{-x}\, dx$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following indefinite integrals by using these steps:
''o'' Find two functions within the integrand that form (up to a possible missing constant) a function-derivative pair;
''o'' Make a substitution and convert the integral to one involving $$u$$ and
$$du$$;
''o'' Evaluate the new integral in $$u$$;
''o'' Convert the resulting function of $$u$$ back to a function of $$x$$ by using
your earlier substitution;
''o'' Check your work by differentiating the function of $$x$$. You should come
up with the integrand originally given.
''a)''$$\int \frac{x^2}{5x^3+1} \, dx$$
''b)'' $$\int e^x \sin(e^x) \, dx$$
''c)'' $$\int \frac{\cos(\sqrt{x})}{\sqrt{x}}~dx$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following definite integrals exactly through an appropriate $$u$$-substitution.
''a)'' $$\int_1^2 \frac{x}{1 + 4x^2} \, dx$$
''b)'' $$\int_0^1 e^{-x} (2e^{-x}+3)^{9} \, dx$$
''c)'' $$\int_{2/\pi}^{4/\pi} \frac{\cos\left(\frac{1}{x}\right)}{x^{2}} \,dx$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
In <<reference 2.5.Chain>>, we learned the Chain Rule and how it can be
applied to find the derivative of a composite function. In particular,
if $$u$$ is a differentiable function of $$x$$, and $$f$$ is a differentiable
function of $$u(x)$$, then
$$\frac{d}{dx} \left[ f(u(x)) \right] = f'(u(x)) \cdot u'(x).$$
In words, we say that the derivative of a composite function
$$c(x) = f(u(x))$$, where $$f$$ is considered the “outer” function and $$u$$
the “inner” function, is “the derivative of the outer function,
evaluated at the inner function, times the derivative of the inner
function.”
''a)'' For each of the following functions, use the Chain Rule to find the
function’s derivative. Be sure to label each derivative by name (e.g.,
the derivative of $$g(x)$$ should be labeled $$g'(x)$$).
''ii.''
$$h(x) = \sin(5x+1)$$
''iii.''
$$p(x) = \arctan(2x)$$
''iv.''
$$q(x) = (2-7x)^4$$
''v.''
$$r(x) = 3^{4-11x}$$
''b)'' For each of the following functions, use your work in (a) to help you
determine the general antiderivative <<footnote "[3]" "Recall that the general antiderivative of a function includes $$+C$$ to reflect the entire family of functions that share the same derivative.">> of the function. Label each
antiderivative by name (e.g., the antiderivative of $$m$$ should be called
$$M$$). In addition, check your work by computing the derivative of each
proposed antiderivative.
''ii.''
$$n(x) = \cos(5x+1)$$
''iii.''
$$s(x) = \frac{1}{1+4x^2}$$
''iv.''
$$v(x) = (2-7x)^3$$
''v.''
$$w(x) = 3^{4-11x}$$
''3.'' Based on your experience in parts (a) and (b), conjecture an
antiderivative for each of the following functions. Test your
conjectures by computing the derivative of each proposed antiderivative.
''i.''
$$a(x) = \cos(\pi x)$$
''ii.''
$$b(x) = (4x+7)^{11}$$
''iii.''
$$c(x) = xe^{x^2}$$
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' This problem centers on finding antiderivatives for the basic
trigonometric functions other than $$\sin(x)$$ and $$\cos(x)$$.
''a)'' Consider the indefinite integral $$\int \tan(x) \, dx$$. By rewriting
the integrand as $$\tan(x) = \frac{\sin(x)}{\cos(x)}$$ and identifying an
appropriate function-derivative pair, make a $$u$$-substitution and hence
evaluate $$\int \tan(x) \, dx$$.
''b)'' In a similar way, evaluate $$\int \cot(x) \, dx$$.
''c)'' Consider the indefinite integral
$$\int \frac{\sec^2(x) + \sec(x) \tan(x)}{\sec(x) + \tan(x)} \, dx.$$
Evaluate this integral using the substitution $$u = \sec(x) + \tan(x)$$.
''d)'' Simplify the integrand in (c) by factoring the numerator. What is a far
simpler way to write the integrand?
''e)'' Combine your work in (c) and (d) to determine $$\int \sec(x) \, dx$$.
''f)'' Using (c)-(e) as a guide, evaluate $$\int \csc(x) \, dx$$.
''2.'' Consider the indefinite integral $$\int x \sqrt{x-1} \, dx.$$
''a)'' At first glance, this integrand may not seem suited to substitution due
to the presence of $$x$$ in separate locations in the integrand.
Nonetheless, using the composite function $$\sqrt{x-1}$$ as a guide, let
$$u = x-1$$. Determine expressions for both $$x$$ and $$dx$$ in terms of $$u$$.
''b)'' Convert the given integral in $$x$$ to a new integral in $$u$$.
''c)'' Evaluate the integral in (b) by noting that $$\sqrt{u} = u^{1/2}$$ and
observing that it is now possible to rewrite the integrand in $$u$$ by
expanding through multiplication.
''d)'' Evaluate each of the integrals $$\int x^2 \sqrt{x-1} \, dx$$ and
$$\int x \sqrt{x^2 - 1} \, dx$$. Write a paragraph to discuss the
similarities among the three indefinite integrals in this problem and
the role of substitution and algebraic rearrangement in each.
''3.'' Consider the indefinite integral $$\int \sin^3(x) \, dx$$.
''a)'' Explain why the substitution $$u = \sin(x)$$ will not work to help
evaluate the given integral.
''b)'' Recall the Fundamental Trigonometric Identity, which states that
$$\sin^2(x) + \cos^2(x) = 1$$. By observing that
$$\sin^3(x) = \sin(x) \cdot \sin^2(x)$$, use the Fundamental Trigonometric
Identity to rewrite the integrand as the product of $$\sin(x)$$ with
another function.
''c)'' Explain why the substitution $$u = \cos(x)$$ now provides a possible way
to evaluate the integral in (b).
''d)'' Use your work in (a)-(c) to evaluate the indefinite integral
$$\int \sin^3(x) \, dx$$.
''e)'' Use a similar approach to evaluate $$\int \cos^3(x) \, dx$$.
''4.'' For the town of Mathland, MI, residential power consumption has shown
certain trends over recent years. Based on data reflecting average
usage, engineers at the power company have modeled the town’s rate of
energy consumption by the function
$$r(t) = 4 + \sin(0.263t + 4.7) + \cos(0.526t+9.4).$$
Here, $$t$$ measures time in hours after midnight on a typical weekday,
and $$r$$ is the rate of consumption in megawatts[^1] at time $$t$$.
[^1]: The unit ''megawatt'' is itself a rate, which measures energy
consumption per unit time. A ''megawatt-hour'' is the total amount of
energy that is equivalent to a constant stream of 1 megawatt of
power being sustained for 1 hour.
Units are critical throughout this problem.
''a)'' Sketch a carefully labeled graph of $$r(t)$$ on the interval [0,24] and
explain its meaning. Why is this a reasonable model of power
consumption?
''b)'' Without calculating its value, explain the meaning of
$$\int_0^{24} r(t) \, dt$$. Include appropriate units on your answer.
''c)'' Determine the exact amount of power Mathland consumes in a typical day.
''d)'' What is Mathland’s average rate of energy consumption in a given 24-hour
period? What are the units on this quantity?
How can we begin to find algebraic formulas for antiderivatives of more
complicated algebraic functions?
What is an indefinite integral and how is its notation used in
discussing antiderivatives?
How does the technique of $$u$$-substitution work to help us evaluate
certain indefinite integrals, and how does this process rely on
identifying function-derivative pairs?
In <<reference 4.4.FTC>>, we learned the key role that antiderivatives
play in the the process of evaluating definite integrals exactly. In
particular, the Fundamental Theorem of Calculus tells us that if $$F$$ is
any antiderivative of $$f$$, then
$$\int_a^b f(x) \, dx = F(b) - F(a).$$
Furthermore, we realized that each elementary derivative rule developed
in <<reference [[Chapter 2]]>> leads to a corresponding elementary antiderivative, as
summarized in ''Table 4.1''. Thus, if we wish to evaluate an
integral such as
$$\int_0^1 \left(x^3 - \sqrt{x} + 5^x \right) \,dx,$$
it is straightforward to do so, since we can easily antidifferentiate
$$f(x) = x^3 - \sqrt{x} + 5^x.$$ In particular, since a function $$F$$ whose
derivative is $$f$$ is given by
$$F(x) = \frac{1}{4}x^4 - \frac{2}{3}x^{3/2} + \frac{1}{\ln(5)}5^x$$, the
Fundamental Theorem of Calculus tells us that
<center>
<table class="equationtable">
<tr><td> $$\int_0^1 (x^3 - \sqrt{x}+ 5^x) dx $$
</td><td>= $$\frac{1}{4}x^4 - \frac{2}{3}x^{3/2} + \frac{5}{\ln(5)}5^x|_0^1 $$ </td></tr>
<tr><td></td><td>= $$( \frac{1}{4}(1)^4 - \frac{2}{3}(1)^{3/2} + \frac{1}{\ln(5)}5^1 ) - ( 0 - 0 + \frac{1}{\ln(5)}5^0 ) $$
</td></tr>
<tr><td></td><td>= $$- \frac{5}{12} + \frac{4}{\ln(5)} $$
</td></tr>
Because an algebraic formula for an antiderivative of $$f$$ enables us to
evaluate the definite integral $$\int_a^b f(x) \, dx$$ exactly, we see
that we have a natural interest in being able to find such algebraic
antiderivatives. Note that we emphasize ''algebraic'' antiderivatives, as
opposed to any antiderivative, since we know by the Second Fundamental
Theorem of Calculus that $$G(x) = \int_a^x f(t) \, dt$$ is indeed an
antiderivative of the given function $$f$$, but one that still involves a
definite integral. One of our main goals in this section and the one
following is to develop understanding, in select circumstances, of how
to “undo” the process of differentiation in order to find an algebraic
antiderivative for a given function.
!!Reversing the Chain Rule: First Steps
In <<reference 5.3.PA1>>, we saw that it is usually straightforward
to antidifferentiate a function of the form
whenever $$f$$ is a familiar function whose antiderivative is known and
$$u(x)$$ is a linear function. For example, if we consider
in this context the outer function $$f$$ is $$f(u) = u^6$$, while the inner
function is $$u(x) = 5x - 3$$. Since the antiderivative of $$f$$ is
$$F(u) = \frac{1}{7}u^7+C$$, we see that the antiderivative of $$h$$ is
$$H(x) = \frac{1}{7} (5x-3)^7 \cdot \frac{1}{5} + C = \frac{1}{35} (5x-3)^7 + C.$$
The inclusion of the constant $$\frac{1}{5}$$ is essential precisely
because the derivative of the inner function is $$u'(x) = 5$$. Indeed, if
we now compute $$H'(x)$$, we find by the Chain Rule (and Constant Multiple
Rule) that
$$H'(x) = \frac{1}{35} \cdot 7(5x-3)^6 \cdot 5 = (5x-3)^6 = h(x),$$
and thus $$H$$ is indeed the general antiderivative of $$h$$.
Hence, in the special case where the outer function is familiar and the
inner function is linear, we can antidifferentiate composite functions
according to the following rule.
<table>
If $$h(x) = f(ax + b)$$ and $$F$$ is a known algebraic antiderivative of $$f$$, then the general antiderivative of $$h$$ is given by
<br>
<br>
<center>
$$H(x) = \frac{1}{a} F(ax+b) + C.$$
<br>
<br>
When discussing antiderivatives, it is often useful to have shorthand
notation that indicates the instruction to find an antiderivative. Thus,
in a similar way to how the notation
$$\frac{d}{dx} \left[ f(x) \right]$$
represents the derivative of $$f(x)$$ with respect to $$x$$, we use the
notation of the ''indefinite integral'',
to represent the general antiderivative of $$f$$ with respect to $$x$$. For
instance, returning to the earlier example with $$h(x) = (5x-3)^6$$ above,
we can rephrase the relationship between $$h$$ and its antiderivative $$H$$
through the notation
$$\int (5x-3)^6 \, dx = \frac{1}{35} (5x-6)^7 + C.$$
When we find an antiderivative, we will often say that we ''evaluate an
indefinite integral''; said differently, the instruction to evaluate an
indefinite integral means to find the general antiderivative. Just as
the notation $$\frac{d}{dx} [o ]$$ means “find the derivative with
respect to $$x$$ of $$o$$,” the notation $$\int o, dx$$ means “find a
function of $$x$$ whose derivative is $$o$$.”
!!Reversing the Chain Rule
Of course, a natural question arises from our recent work: what happens
when the inner function is not a linear function? For example, can we
find antiderivatives of such functions as
$$g(x) = x e^{x^2} \ {and} \ h(x) = e^{x^2}?$$
It is important to explicitly remember that differentiation and
antidifferentiation are essentially inverse processes; that they are not
quite inverse processes is due to the $$+C$$ that arises when
antidifferentiating. This close relationship enables us to take any
known derivative rule and translate it to a corresponding rule for an
indefinite integral. For example, since
$$\frac{d}{dx} \left[x^5\right] = 5x^4,$$
we can equivalently write
$$\int 5x^4 \, dx = x^5 + C.$$
Recall that the Chain Rule states that
$$\frac{d}{dx} \left[ f(g(x)) \right] = f'(g(x)) \cdot g'(x).$$
Restating this relationship in terms of an indefinite integral,
$$f'(g(x)) g'(x) dx = f(g(x))+C.$$
Hence, ''Equation 5.5'' tells us that if we can take a given
function and view its algebraic structure as $$f'(g(x)) g'(x)$$ for some
appropriate choices of $$f$$ and $$g$$, then we can antidifferentiate the
function by reversing the Chain Rule. It is especially notable that both
$$g(x)$$ and $$g'(x)$$ appear in the form of $$f'(g(x)) g'(x)$$; we will
sometimes say that we seek to ''identify a function-derivative pair'' when
trying to apply the rule in ''Equation 5.5'.
In the situation where we can identify a function-derivative pair, we
will introduce a new variable $$u$$ to represent the function $$g(x)$$.
Observing that with $$u = g(x)$$, it follows in Leibniz notation that
$$\frac{du}{dx} = g'(x)$$, so that in terms of differentials <<footnote [4] "If we recall from the definition of the derivative that
$$\frac{du}{dx} \approx \frac{\triangle{u}}{\triangle{x}}$$ and use
the fact that $$\frac{du}{dx} = g'(x)$$, then we see that
$$g'(x) \approx \frac{\triangle{u}}{\triangle{x}}$$. Solving for
$$\triangle u$$, $$\triangle u \approx g'(x) \triangle x$$. It is this
last relationship that, when expressed in “differential” notation
enables us to write $$du = g'(x) \, dx$$ in the change of variable
formula.">>$$du = g'(x)\, dx$$. Now converting the indefinite integral of interest to
a new one in terms of $$u$$, we have
$$\int f'(g(x)) g'(x) \, dx = \int f'(u) \,du.$$
Provided that $$f'$$ is an elementary function whose antiderivative is
known, we can now easily evaluate the indefinite integral in $$u$$, and
then go on to determine the desired overall antiderivative of
$$f'(g(x)) g'(x)$$. We call this process ''$$u$$-substitution''. To see
$$u$$-substitution at work, we consider the following example.
''Example 5.2'' Evaluate the indefinite integral
$$\int x^3 \cdot \sin (7x^4 + 3) \, dx$$
and check the result by differentiating.
''Solution.'' We can make two key algebraic observations stand regarding the
integrand, $$x^3 \cdot \sin (7x^4 + 3)$$. First, $$\sin (7x^4 + 3)$$ is a
composite function; as such, we know we’ll need a more sophisticated
approach to antidifferentiating. Second, $$x^3$$ is almost the derivative
of $$(7x^4 + 3)$$; the only issue is a missing constant. Thus, $$x^3$$ and
$$(7x^4 + 3)$$ are nearly a function-derivative pair. Furthermore, we know
the antiderivative of $$f(u) = \sin(u)$$. The combination of these
observations suggests that we can evaluate the given indefinite integral
by reversing the chain rule through $$u$$-substitution.
Letting $$u$$ represent the inner function of the composite function
$$\sin (7x^4 + 3)$$, we have $$u = 7x^4 + 3,$$
and thus $$\frac{du}{dx} = 28x^3.$$ In differential notation, it follows
that $$du = 28x^3 \, dx$$, and thus $$x^3 \, dx = \frac{1}{28} \, du$$. We
make this last observation because the original indefinite integral may
now be written
$$\int \sin (7x^4 + 3) \cdot x^3 \, dx,$$
and so by substituting the expressions in $$u$$ for $$x$$ (specifically $$u$$
for $$7x^4 + 3$$ and $$\frac{1}{28} \, du$$ for $$x^3 \, dx$$), it follows
that
$$\int \sin (7x^4 + 3) \cdot x^3 \, dx = \int \sin(u) \cdot \frac{1}{28} \, du.$$
Now we may evaluate the original integral by first evaluating the easier
integral in $$u$$, followed by replacing $$u$$ by the expression $$7x^4 + 3$$.
Doing so, we find
<center>
<table class="equationtable">
<tr><td> $$\int (7x^4 + 3) x^3 dx $$
</td><td>= $$ \int\sin(u) \frac{1}{28}du $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{28}\int\sin(u) du $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{28}(-\cos(u)) +C $$
</td></tr>
<tr><td></td><td>= $$-\frac{1}{28}(\cos(7x^4+3)) +C $$
</td></tr>
To check our work, we observe by the Chain Rule that
$$\frac{d}{dx} \left[ -\frac{1}{28}\cos(7x^4 + 3) + C \right] = -\frac{1}{28} \cdot (-1)\sin(7x^4 + 3) \cdot 28x^3 = \sin(7x^4 + 3) \cdot x^3,$$
which is indeed the original integrand.
An essential observation about our work in ''Example 5.2'' is that
the $$u$$-substitution only worked because the function multiplying
$$\sin (7x^4 + 3)$$ was $$x^3$$. If instead that function was $$x^2$$ or
$$x^4$$, the substitution process may not (and likely would not) have
worked. This is one of the primary challenges of antidifferentiation:
slight changes in the integrand make tremendous differences. For
instance, we can use $$u$$-substitution with $$u = x^2$$ and $$du = 2xdx$$ to
find that
<center>
<table class="equationtable">
<tr><td> $$\int xe^{x^2} dx $$
</td><td>= $$\int e^u \cdot \frac{1}{2} du $$ </td></tr>
<tr><td></td><td>= $$ \frac{1}{2}\int e^u du $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{2}e^u + C $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{2}e^{x^2} + C $$
</td></tr>
If, however, we consider the similar indefinite integral
the missing $$x$$ to multiply $$e^{x^2}$$ makes the $$u$$-substitution
$$u = x^2$$ no longer possible. Hence, part of the lesson of
$$u$$-substitution is just how specialized the process is: it only applies
to situations where, up to a missing constant, the integrand that is
present is the result of applying the Chain Rule to a different, related
function.
!!Evaluating Definite Integrals via $$u$$-substitution
We have just introduced $$u$$-substitution as a means to evaluate
indefinite integrals of functions that can be written, up to a constant
multiple, in the form $$f(g(x))g'(x)$$. This same technique can be used to
evaluate definite integrals involving such functions, though we need to
be careful with the corresponding limits of integration. Consider, for
instance, the definite integral
$$\int_2^5 xe^{x^2} \, dx.$$
Whenever we write a definite integral, it is implicit that the limits of
integration correspond to the variable of integration. To be more
explicit, observe that
$$\int_2^5 xe^{x^2} \, dx = \int_{x=2}^{x=5} xe^{x^2} \, dx.$$
When we execute a $$u$$-substitution, we change the ''variable'' of
integration; it is essential to note that this also changes the ''limits''
of integration. For instance, with the substitution $$u = x^2$$ and
$$du = 2x \, dx$$, it also follows that when $$x = 2$$, $$u = 2^2 = 4$$, and
when $$x = 5$$, $$u = 5^2 = 25.$$ Thus, under the change of variables of
$$u$$-substitution, we now have
<center>
<table class="equationtable">
<tr><td> $$\int_{x=2}^{x=5} xe^{x^2} dx $$
</td><td>= $$\int_{u=4}^{u=25} e^u \frac{1}{2} du $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{2}e^u |_{u=4}^{u=25} $$
</td></tr>
<tr><td></td><td>= $$\frac{1}{2}e^{25} - \frac{1}{2}e^4 $$
</td></tr>
Alternatively, we could consider the related indefinite integral
$$\int_2^5 xe^{x^2} \, dx,$$ find the antiderivative $$\frac{1}{2}e^{x^2}$$
through $$u$$-substitution, and then evaluate the original definite
integral. From that perspective, we’d have
<center>
<table class="equationtable">
<tr><td> $$\int_2^5 xe^{x^2} dx $$
</td><td>= $$\frac{1}{2} e^{x^2} |_2^5 $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{2}e^{25} - \frac{1}{2}e^4 $$
</td></tr>
which is, of course, the same result.
!!Summary
---
In this section, we encountered the following important ideas:
---
*To begin to find algebraic formulas for antiderivatives of more complicated algebraic functions, we need to think carefully about how we can reverse known differentiation rules. To that end, it is essential that we understand and recall known derivatives of basic functions, as well as the standard derivative rules.
* The indefinite integral provides notation for antiderivatives. When we write “$$\int f(x) \, dx$$,” we mean “the general antiderivative of $$f$$.” In particular, if we have functions $$f$$ and $$F$$ such that $$F' = f$$, the following two statements say the exact thing:
$$\frac{d}{dx}[F(x)] = f(x) \ {and} \ \int f(x) \, dx = F(x) + C.$$
That is, $$f$$ is the derivative of $$F$$, and $$F$$ is an antiderivative of
$$f$$.
* The technique of $$u$$-substitution helps us evaluate indefinite integrals of the form $$\int f(g(x))g'(x) \, dx$$ through the substitutions $$u = g(x)$$ and $$du = g'(x) \, dx$$, so that
$$\int f(g(x))g'(x) \, dx = \int f(u) \, du.$$
A key part of choosing the expression in $$x$$ to let be represented by $$u$$ is the identification of a function-derivative pair. To do so, we often look for an “inner” function $$g(x)$$ that is part of a composite function, while investigating whether $$g'(x)$$ (or a constant multiple of $$g'(x)$$) is present as a multiplying factor of the integrand.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following indefinite integrals. Check each antiderivative that you find by differentiating.
''a)''
$$\int te^{-t} \, dt$$
''b)''
$$\int 4x \sin(3x) \, dx$$
''c)''
$$\int z \sec^2(z) \,dz$$
''d)''
$$\int x \ln(x) \, dx $$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following indefinite integrals, using the provided hints.
''a)'' Evaluate $$\int \arctan(x) \, dx$$ by using Integration by Parts with the
substitution $$u = \arctan(x)$$ and $$dv = 1 \, dx$$.
''b)'' Evaluate $$\int \ln(z) \,dz$$. Consider a similar substitution to the one
in (a).
''c)'' Use the substitution $$z = t^2$$ to transform the integral
$$\int t^3 \sin(t^2) \, dt$$ to a new integral in the variable $$z$$, and
evaluate that new integral by parts.
''d)'' Evaluate $$\int s^5 e^{s^3} \, ds$$ using an approach similar to that
described in (c).
''e)'' Evaluate $$\int e^{2t} \cos(e^t) \, dt$$. You will find it helpful to note
that $$e^{2t} = e^t \cdot e^t.$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Evaluate each of the following indefinite integrals.
''a)''
$$\int x^2 \sin(x) \, dx$$
''b)''
$$\int t^3 \ln(t) \, dt$$
''c)''
$$\int e^z \sin(z) \, dz$$
''d)''
$$\int s^2 e^{3s} \, ds$$
''e)''
$$\int t \arctan(t) \,dt$$\
<br>
(<span>''Hint:''</span> At a certain point in this problem, it is very
helpful to note that $$\frac{t^2}{1+t^2} = 1 - \frac{1}{1+t^2}.$$)
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
In <<reference 2.3.ProdQuot>>, we developed the Product Rule and studied
how it is employed to differentiate a product of two functions. In
particular, recall that if $$f$$ and $$g$$ are differentiable functions of
$$x$$, then
$$\frac{d}{dx} \left[ f(x) \cdot g(x) \right] = f(x) \cdot g'(x) + g(x) \cdot f'(x).$$
''a)'' For each of the following functions, use the Product Rule to find the
function’s derivative. Be sure to label each derivative by name (e.g.,
the derivative of $$g(x)$$ should be labeled $$g'(x)$$).
''i.'' $$g(x) = x\sin(x)$$
''iii.''
$$p(x) = x\ln(x)$$
''iv.''
$$q(x) = x^2 \cos(x)$$
''v.''
$$r(x) = e^x \sin(x)$$
''b.'' Use your work in (a) to help you evaluate the following indefinite
integrals. Use differentiation to check your work.
''i.'' $$\int xe^x + e^x \, dx$$
''ii.'' $$\int e^x(\sin(x) + \cos(x)) \, dx$$
''iii.'' $$\int 2x\cos(x) - x^2 \sin(x) \, dx$$
''iv.'' $$\int x\cos(x) + \sin(x) \, dx$$
''v.'' $$\int 1 + \ln(x) \, dx$$
''c)'' Observe that the examples in (b) work nicely because of the derivatives
you were asked to calculate in (a). Each integrand in (b) is precisely
the result of differentiating one of the products of basic functions
found in (a). To see what happens when an integrand is still a product
but not necessarily the result of differentiating an elementary product,
we consider how to evaluate
''i.''
First, observe that
$$\frac{d}{dx} \left[ x\sin(x) \right] = x\cos(x) + \sin(x).$$
Integrating both sides indefinitely and using the fact that the integral
of a sum is the sum of the integrals, we find that
$$\int \left(\frac{d}{dx} \left[ x\sin(x) \right] \right) \, dx = \int x\cos(x) \, dx + \int \sin(x) \, dx.$$
In this last equation, evaluate the indefinite integral on the left side
as well as the rightmost indefinite integral on the right.
''ii.'' In the most recent equation from (i.), solve the equation for the
expression $$\int x \cos(x) \, dx$$.
''iii.'' For which product of basic functions have you now found the
antiderivative?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let $$f(t) = te^{-2t}$$ and $$F(x) = \int_0^x f(t) \, dt$$.
''a)''
Determine $$F'(x)$$.
''b)''
Use the First FTC to find a formula for $$F$$ that does not involve an
integral.
''c)''
Is $$F$$ an increasing or decreasing function for $$x > 0$$? Why?
''2.'' Consider the indefinite integral given by $$\int e^{2x} \cos(e^x) \, dx$$.
''a)''
Noting that $$e^{2x} = e^x \cdot e^x$$, use the substitution $$z = e^{x}$$
to determine a new, equivalent integral in the variable $$z$$.
''b)''
Evaluate the integral you found in (a) using an appropriate technique.
''c)''
How is the problem of evaluating $$\int e^{2x} \cos(e^{2x}) \, dx$$
different from evaluating the integral in (a)? Do so.
''d)''
Evaluate each of the following integrals as well, keeping in mind the
approach(es) used earlier in this problem:
''o'' $$\int e^{2x} \sin(e^x) \, dx$$
''o'' $$\int e^{3x} \sin(e^{3x}) \, dx$$
''o'' $$\int xe^{x^2} \cos(e^{x^2}) \sin(e^{x^2}) \, dx$$
''3.'' For each of the following indefinite integrals, determine whether you
would use $$u$$-substitution, integration by parts, neither, or both to
evaluate the integral. In each case, write one sentence to explain your
reasoning, and include a statement of any substitutions used. (That is,
if you decide in a problem to let $$u = e^{3x}$$, you should state that,
as well as that $$du = 3e^{3x} \, dx$$.) Finally, use your chosen approach
to evaluate each integral.
''a)''
$$\int x^2 \cos(x^3) \, dx$$
''b)''
$$\int x^5 \cos(x^3) \, dx$$ (Hint: $$x^5 = x^2 \cdot x^3$$)
''c)''
$$\int x\ln(x^2) \, dx$$
''d)''
$$\int \sin(x^4) \, dx$$
''e)''
$$\int x^3 \sin(x^4) \, dx$$
''f)''
$$\int x^7 \sin(x^4) \, dx$$
How do we evaluate indefinite integrals that involve products of basic
functions such as $$\int x \sin(x) \, dx$$ and $$\int x e^x \, dx$$?
What is the method of integration by parts and how can we consistently
apply it to integrate products of basic functions?
How does the algebraic structure of functions guide us in identifying
$$u$$ and $$dv$$ in using integration by parts?
In <<reference 5.3.Substitution>>, we learned the technique of
$$u$$-substitution for evaluating indefinite integrals that involve
certain composite functions. For example, the indefinite integral
$$\int x^3 \sin(x^4) \, dx$$ is perfectly suited to $$u$$-substitution,
since not only is there a composite function present, but also the inner
function’s derivative (up to a constant) is multiplying the composite
function. Through $$u$$-substitution, we learned a general situation where
recognizing the algebraic structure of a function can enable us to find
its antiderivative.
It is natural to ask similar questions to those we considered in
<<reference 5.3.Substitution>> about functions with a different elementary
algebraic structure: those that are the product of basic functions. For
instance, suppose we are interested in evaluating the indefinite
integral
$$\int x \sin(x) \, dx.$$
Here, there is not a composite function present, but rather a product of
the basic functions $$f(x) = x$$ and $$g(x) = \sin(x)$$. From our work in
<<reference 2.3.ProdQuot>> with the Product Rule, we know that it is
relatively complicated to compute the derivative of the product of two
functions, so we should expect that antidifferentiating a product should
be similarly involved. In addition, intuitively we expect that
evaluating $$\int x \sin(x) \, dx$$ will involve somehow reversing the
Product Rule.
To that end, in <<reference 5.4.PA1>> we refresh our understanding
of the Product Rule and then investigate some indefinite integrals that
involve products of basic functions.
!!Reversing the Product Rule: Integration by Parts
Problem (c) in <<reference 5.4.PA1>> provides a clue for how we
develop the general technique known as Integration by Parts, which comes
from reversing the Product Rule. Recall that the Product Rule states
that
$$\frac{d}{dx} \left[ f(x) g(x) \right] = f(x) g'(x) + g(x) f'(x).$$
Integrating both sides of this equation indefinitely with respect to
$$x$$, it follows that
$$\int\frac{d}{dx} [f(x)g(x)]= \int f(x) g'(x) dx + \int g(x) f'(x) dx.$$
On the left in ''Equation 5.6'', we recognize that we have the
indefinite integral of the derivative of a function which, up to an
additional constant, is the original function itself. Temporarily
omitting the constant that may arise, we equivalently have
$$ f(x) g(x) = \int f(x) g'(x) dx + \int g(x) f'(x) dx.$$
The most important thing to observe about ''Equation 5.7'' is
that it provides us with a choice of two integrals to evaluate. That is,
in a situation where we can identify two functions $$f$$ and $$g$$, if we
can integrate $$f(x) g'(x)$$, then we know the indefinite integral of
$$g(x) f'(x)$$, and vice versa. To that end, we choose the first
indefinite integral on the left in ''Equation 5.7'' and solve for
it to generate the rule
$$ \int(x) g'(x) dx = \int f(x) g(x) - \int g(x) f'(x) dx.$$
Often we express ''Equation 5.8'' in terms of the variables $$u$$ and
$$v$$, where $$u = f(x)$$ and $$v = g(x)$$. Note that in differential
notation, $$du = f'(x) \, dx$$ and $$dv = g'(x) \, dx$$, and thus we can
state the rule for Integration by Parts in its most common form as
follows.
<center>
<table>
$$\int u \, dv = uv - \int v \, du.$$
To apply Integration by Parts, we look for a product of basic functions
that we can identify as $$u$$ and $$dv$$. If we can antidifferentiate $$dv$$
to find $$v$$, and evaluating $$\int v \, du$$ is not more difficult than
evaluating $$\int u \, dv$$, then this substitution usually proves to be
fruitful. To demonstrate, we consider the following example.
''Example 5.3.'' Evaluate the indefinite integral
using Integration by Parts.
''Solution.'' Whenever we are trying to integrate a product of basic function through
Integration by Parts, we are presented with a choice for $$u$$ and $$dv$$.
In the current problem, we can either let $$u = x$$ and
$$dv = \cos(x) \, dx$$, or let $$u = \cos(x)$$ and $$dv = x \, dx$$. While
there is not a universal rule for how to choose $$u$$ and $$dv$$, a good
guideline is this: do so in a way that $$\int v \, du$$ is at least as
simple as the original problem $$\int u \, dv$$.
In this setting, this leads us to choose <<footnote [6] "Observe that if we considered the alternate choice, and let $u = \cos(x)$ and $dv = x \, dx$, then $du = -\sin(x) \, dx$ and $v = \frac{1}{2}x^2$, from which we would write $$\int x\cos(x) \, dx = \frac{1}{2}x^2 \cos(x) - \int \frac{1}{2}x^2 (-\sin(x)) \, dx.$$ Thus we have replaced the problem of integrating x cos(x) with that of integrating 1 x2 sin(x); the latter is 2
clearly more complicated, which shows that this alternate choice is not as helpful as the first choice." >>
$$u = x$$ and $$dv = cos(x) dx$$, from which it follows that $$du = 1 dx$$ and $$v = sin(x)$$. With this substitution, the rule for Integration by Parts tells us that.
$$\int x \cos(x) \, dx = x \sin(x) - \int \sin(x) \cdot 1 \, dx.$$
At this point, all that remains to do is evaluate the (simpler) integral
$$\int \sin(x) \cdot 1 \, dx.$$ Doing so, we find
$$\int x \cos(x) \, dx = x \sin(x) - (-\cos(x)) + C = x\sin(x) + \cos(x) + C.$$
There are at least two additional important observations to make from
''Example 5.3''. First, the general technique of Integration by
Parts involves trading the problem of integrating the product of two
functions for the problem of integrating the product of two related
functions. In particular, we convert the problem of evaluating
$$\int u \, dv$$ for that of evaluating $$\int v \, du$$. This perspective
clearly shapes our choice of $$u$$ and $$v$$. In ''Example 5.3'', the
original integral to evaluate was $$\int x \cos(x) \,dx$$, and through the
substitution provided by Integration by Parts, we were instead able to
evaluate $$\int \sin(x) \cdot 1 \, dx$$. Note that the original function
$$x$$ was replaced by its derivative, while $$\cos(x)$$ was replaced by its
antiderivative. Second, observe that when we get to the final stage of
evaluating the last remaining antiderivative, it is at this step that we
include the integration constant, $$+C$$.
!!Some Subtleties with Integration by Parts
There are situations where Integration by Parts is not an obvious
choice, but the technique is appropriate nonetheless. One guide to
understanding why is the observation that integration by parts allows us
to replace one function in a product with its derivative while replacing
the other with its antiderivative. For instance, consider the problem of
evaluating
$$\int \arctan(x) \, dx.$$
Initially, this problem seems ill-suited to Integration by Parts, since
there does not appear to be a product of functions present. But if we
note that $$\arctan(x) = \arctan(x) \cdot 1$$, and realize that we know
the derivative of $$\arctan(x)$$ as well as the antiderivative of $$1$$, we
see the possibility for the substitution $$u = \arctan(x)$$ and
$$dv = 1 \, dx$$. We explore this substitution further in
<<reference 5.4.Act2>>.
In a related problem, if we consider $$\int t^3 \sin(t^2) \, dt$$, two key
observations can be made about the algebraic structure of the integrand:
there is a composite function present in $$\sin(t^2)$$, and there is not
an obvious function-derivative pair, as we have $$t^3$$ present (rather
than simply $$t$$) multiplying $$\sin(t^2)$$. This problem exemplifies the
situation where we sometimes use both $$u$$-substitution and Integration
by Parts in a single problem. If we write $$t^3 = t \cdot t^2$$ and
consider the indefinite integral
$$\int t \cdot t^2 \cdot \sin(t^2) \, dt,$$
we can use a mix of the two techniques we have recently learned. First,
let $$z = t^2$$ so that $$dz = 2t \, dt$$, and thus
$$t \, dt = \frac{1}{2} \, dz$$. (We are using the variable $$z$$ to perform
a “$$z$$-substitution” since $$u$$ will be used subsequently in executing
Integration by Parts.) Under this $$z$$-substitution, we now have
$$\int t \cdot t^2 \cdot \sin(t^2) \, dt = \int z \cdot \sin(z) \cdot \frac{1}{2} \, dz.$$
The remaining integral is a standard one that can be evaluated by parts.
This, too, is explored further in <<reference 5.4.Act2>>.
The problems briefly introduced here exemplify that we sometimes must
think creatively in choosing the variables for substitution in
Integration by Parts, as well as that it is entirely possible that we
will need use the technique of substitution for an additional change of
variables within the process of integrating by parts.
!!Using Integration by Parts Multiple Times
We have seen that the technique of Integration by Parts is well suited
to integrating the product of basic functions, and that it allows us to
essentially trade a given integrand for a new one where one function in
the product is replaced by its derivative, while the other is replaced
by its antiderivative. The main goal in this trade of $$\int u \, dv$$ for
$$\int v \, du$$ is to have the new integral not be more challenging to
evaluate than the original one. At times, it turns out that it can be
necessary to apply Integration by Parts more than once in order to
ultimately evaluate a given indefinite integral.
For example, if we consider $$\int t^2 e^t \, dt$$ and let $$u = t^2$$ and
$$dv = e^t \, dt$$, then it follows that $$du = 2t \, dt$$ and $$v = e^t$$,
thus
$$\int t^2 e^t \, dt = t^2 e^t - \int 2t e^t \, dt.$$
The integral on the righthand side is simpler to evaluate than the one
on the left, but it still requires Integration by Parts. Now letting
$$u = 2t$$ and $$dv = e^t \, dt$$, we have $$du = 2\, dt$$ and $$v = e^t$$, so
that
$$\int t^2 e^t \, dt = t^2 e^t - \left( 2t e^t - \int 2 e^t \, dt \right).$$
Note the key role of the parentheses, as it is essential to distribute
the minus sign to the entire value of the integral $$\int 2t e^t \, dt$$.
The final integral on the right in the most recent equation is a basic
one; evaluating that integral and distributing the minus sign, we find
$$\int t^2 e^t \, dt = t^2 e^t - 2t e^t + 2 e^t + C.$$
Of course, situations are possible where even more than two applications
of Integration by Parts may be necessary. For instance, in the preceding
example, it is apparent that if the integrand was $$t^3e^t$$ instead, we
would have to use Integration by Parts three times.
Next, we consider the slightly different scenario presented by the
definite integral $$\int e^t \cos(t) \, dt$$. Here, we can choose to let
$$u$$ be either $$e^t$$ or $$\cos(t)$$; we pick $$u = \cos(t)$$, and thus
$$dv = e^t \, dt$$. With $$du = -\sin(t) \, dt$$ and $$v = e^t$$, Integration
by Parts tells us that
$$\int e^t \cos(t) \, dt = e^t \cos(t) - \int e^t (-\sin(t))\, dt,$$
$$\int e^t \cos(t) \, dt = e^t \cos(t) - \int e^t (\sin(t))\, dt,$$
Observe that the integral on the right in ''Equation 5.9'',
$$\int e^t \sin(t) \, dt$$, while not being more complicated than the
original integral we want to evaluate, it is essentially identical to
$$\int e^t \cos(t) \, dt$$. While the overall situation isn’t necessarily
better than what we started with, the problem hasn’t gotten worse. Thus,
we proceed by integrating by parts again. This time we let $$u = \sin(t)$$
and $$dv = e^t \, dt$$, so that $$du = \cos(t) \, dt$$ and $$v = e^t$$, which
implies
$$ \int e^t \cos(t) dt = e^t \cos(t) + ( e^t \sin (t) -\int e^t \cos (t) dt )
We seem to be back where we started, as two applications of Integration
by Parts has led us back to the original problem,
$$\int e^t \cos(t) \, dt$$. But if we look closely at
''Equation 5.10'', we see that we can use algebra to solve for
the value of the desired integral. In particular, adding
$$\int e^t \cos(t) \, dt$$ to both sides of the equation, we have
$$2 \int e^t \cos(t) \, dt = e^t \cos(t) + e^t \sin(t),$$
$$\int e^t \cos(t) \, dt = \frac{1}{2} \left( e^t \cos(t) + e^t \sin(t) \right) + C.$$
Note that since we never actually encountered an integral we could
evaluate directly, we didn’t have the opportunity to add the integration
constant $$C$$ until the final step, at which point we include it as part
of the most general antiderivative that we sought from the outset in
evaluating an indefinite integral.
!!Evaluating Definite Integrals Using Integration by Parts
Just as we saw with $$u$$-substitution in <<reference 5.3.Substitution>>, we
can use the technique of Integration by Parts to evaluate a definite
integral. Say, for example, we wish to find the exact value of
$$\int_0^{\pi/2} t\sin(t) \, dt.$$
One option is to evaluate the related indefinite integral to find that
$$\int t\sin(t) \, dt = -t \cos(t) + \sin(t) + C,$$ and then use the
resulting antiderivative along with the Fundamental Theorem of Calculus
to find that
<center>
<table class="equationtable">
<tr><td> $$\int_0^{\pi/2} t \sin (t) dt$$
</td><td>= $$( -t \cos (t) + \sin (t) )| _0^{\pi/2} $$ </td></tr>
<tr><td></td><td>= $$(-{\pi/2}\cos ({\pi/2}) + \sin({\pi/2}))-(-0 \cos(0)+ \sin (0)) $$
</td></tr>
<tr><td></td><td>= $$1 $$
</td></tr>
Alternatively, we can apply Integration by Parts and work with definite
integrals throughout. In this perspective, it is essential to remember
to evaluate the product $$uv$$ over the given limits of integration. To
that end, using the substitution $$u = t$$ and $$dv = \sin(t) \, dt$$, so
that $$du = dt$$ and $$v = -\cos(t)$$, we write
<center>
<table class="equationtable">
<tr><td> $$\int_0^{\pi/2} t \sin (t) dt$$
</td><td>= $$ -t \cos (t)| _0^{\pi/2} + \int_0^{\pi/2}(-(\cos(t))dt $$ </td></tr>
<tr><td></td><td>= $$ -t \cos (t)| _0^{\pi/2} + \sin (t)| _0^{\pi/2} $$
</td></tr>
<tr><td></td><td>= $$(-{\pi/2}\cos ({\pi/2}) + \sin({\pi/2}))-(-0 \cos(0)+ \sin (0)) $$
</td></tr>
<tr><td></td><td>= $$1 $$
</td></tr>
As with any substitution technique, it is important to remember the
overall goal of the problem, to use notation carefully and completely,
and to think about our end result to ensure that it makes sense in the
context of the question being answered.
!!When $$u$$-substitution and Integration by Parts Fail to Help
As we close this section, it is important to note that both integration
techniques we have discussed apply in relatively limited circumstances.
In particular, it is not hard to find examples of functions for which
neither technique produces an antiderivative; indeed, there are many,
many functions that appear elementary but that do not have an elementary
algebraic antiderivative. For instance, if we consider the indefinite
integrals
$$\int e^{x^2} \, dx \ \ {and} \ \ \int x \tan(x) \, dx,$$
neither $$u$$-substitution nor Integration by Parts proves fruitful. While
there are other integration techniques, some of which we will consider
briefly, none of them enables us to find an algebraic antiderivative for
$$e^{x^2}$$ or $$x \tan(x)$$. There are at least two key observations to
make: one, we do know from the Second Fundamental Theorem of Calculus
that we can construct an integral antiderivative for each function; and
two, antidifferentiation is much, much harder in general than
differentiation. In particular, we observe that
$$F(x) = \int_0^x e^{t^2} \, dt$$ is an antiderivative of
$$f(x) = e^{x^2}$$, and $$G(x) = \int_0^{x} t \tan(t) \, dt$$ is an
antiderivative of $$g(x) = x \tan(x)$$. But finding an elementary
algebraic formula that doesn’t involve integrals for either $$F$$ or $$G$$
turns out not only to be impossible through $$u$$-substitution or
Integration by Parts, but indeed impossible altogether.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Through the method of Integration by Parts, we can evaluate indefiniteintegrals that involve products of basic functions such as$$\int x \sin(x) \, dx$$ and $$\int x \ln(x) \, dx$$ through a substitutionthat enables us to effectively trade one of the functions in the product for its derivative, and the other for its antiderivative, in an effort to find a different product of functions that is easier to integrate.
* If we are given an integral whose algebraic structure we can identify as a product of basic functions in the form $$\int f(x) g'(x) \, dx$$, we can use the substitution $$u = f(x)$$ and $$dv = g'(x) \,dx$$ and apply the rule
$$\int u \, dv = uv - \int v \, du$$
in an effort to evaluate the original integral $$\int f(x) g'(x) \, dx$$
by instead evaluating $$\int v \, du = \int f'(x) g(x) \, dx$$.
* When deciding to integrate by parts, we normally have a product of functions present in the integrand and we have to select both $$u$$ and $$dv$$. That selection is guided by the overall principal that we desire the new integral $$\int v \, du$$ to not be any more difficult or complicated than the original integral $$\int u \, dv$$. In addition, it is often helpful to recognize if one of the functions present is much easier to differentiate than antidifferentiate (such as $$\ln(x)$$), in which case that function often is best assigned the variable $$u$$. For sure, when choosing $$dv$$, the corresponding function must be one that we can antidifferentiate.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following problems, evaluate the integral by using the partial fraction decomposition provided.
''a)'' $$\int \frac{1}{x^2 - 2x - 3} \, dx$$, given that
$$\frac{1}{x^2 - 2x - 3} = \frac{1/4}{x-3} - \frac{1/4}{x+1}$$
''b)'' $$\int \frac{x^2+1}{x^3 - x^2} \, dx$$, given that
$$\frac{x^2+1}{x^3 - x^2} = -\frac{1}{x} - \frac{1}{x^2} + \frac{2}{x-1}$$
''c)'' $$\int \frac{x-2}{x^4 + x^2}\, dx$$, given that
$$\frac{x-2}{x^4 + x^2} = \frac{1}{x} - \frac{2}{x^2} + \frac{-x+2}{1+x^2}$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following integrals, evaluate the integral using $$u$$-substitution and/or an entry from the table found in ''Appendix A''.
''a)'' $$\int \sqrt{x^2 + 4} \, dx$$
''b)'' $$\int \frac{x}{\sqrt{x^2 +4}} \, dx$$
''c)'' $$\int \frac{2}{\sqrt{16+25x^2}}\, dx$$
''d)'' $$\int \frac{1}{x^2 \sqrt{49-36x^2}} \, dx$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' For each of the following integrals involving rational functions, (1)
use a CAS to find the partial fraction decomposition of the integrand;
(2) evaluate the integral of the resulting function without the
assistance of technology; (3) use a CAS to evaluate the original
integral to test and compare your result in (2).
''a)''
$$\int \frac{x^3 + x + 1}{x^4 - 1} \, dx$$
''b)''
$$\int \frac{x^5 + x^2 + 3}{x^3 - 6x^2 + 11x - 6} \, dx$$
''c)''
$$\int \frac{x^2 - x - 1}{(x-3)^3} \, dx$$
''2.'' For each of the following integrals involving radical functions, (1) use
an appropriate $$u$$-substitution along with Appendix [C:9.IntegralTable]
to evaluate the integral without the assistance of technology, and (2)
use a CAS to evaluate the original integral to test and compare your
result in (1).
''a)''
$$\int \frac{1}{x \sqrt{9x^2 + 25}} \, dx$$
''b)''
$$\int x \sqrt{1 + x^4} \, dx$$
''c)''
$$\int e^x \sqrt{4 + e^{2x}} \, dx$$
''d)''
$$\int \frac{\tan(x)}{\sqrt{9 - \cos^2(x)}} \, dx$$
''3.'' Consider the indefinite integral given by
$$\int \frac{\sqrt{x+\sqrt{1+x^2}}}{x} \, dx.$$
''a)'' Explain why $$u$$-substitution does not offer a way to simplify this
integral by discussing at least two different options you might try for
$$u$$.
''b)'' Explain why integration by parts does not seem to be a reasonable way to
proceed, either, by considering one option for $$u$$ and $$dv$$.
''c)'' Is there any line in the integral table in Appendix [C:9.IntegralTable]
that is helpful for this integral?
''d)'' Evaluate the given integral using ''WolframAlpha''. What do you observe?
How does the method of partial fractions enable any rational function to
be antidifferentiated?
What role have integral tables historically played in the study of
calculus and how can a table be used to evaluate integrals such as
$$\int \sqrt{a^2 + u^2} \, du$$?
What role can a computer algebra system play in the process of finding
antiderivatives?
In the preceding sections, we have learned two very specific
antidifferentiation techniques: $$u$$-substitution and integration by
parts. The former is used to reverse the chain rule, while the latter to
reverse the product rule. But we have seen that each only works in very
specialized circumstances. For example, while $$\int xe^{x^2} \, dx$$ may
be evaluated by $$u$$-substitution and $$\int x e^x \, dx$$ by integration
by parts, neither method provides a route to evaluate
$$\int e^{x^2} \, dx$$. That fact is not a particular shortcoming of these
two antidifferentiation techniques, as it turns out there does not exist
an elementary algebraic antiderivative for $$e^{x^2}$$. Said differently,
no matter what antidifferentiation methods we could develop and learn to
execute, none of them will be able to provide us with a simple formula
that does not involve integrals for a function $$F(x)$$ that satisfies
$$F'(x) = e^{x^2}$$.
In this section of the text, our main goals are to better understand
some classes of functions that can always be antidifferentiated, as well
as to learn some options for so doing. At the same time, we want to
recognize that there are many functions for which an algebraic formula
for an antiderivative does not exist, and also appreciate the role that
computing technology can play in helping us find antiderivatives of
other complicated functions. Throughout, it is helpful to remember what
we have learned so far: how to reverse the chain rule through
$$u$$-substitution, how to reverse the product rule through integration by
parts, and that overall, there are subtle and challenging issues to
address when trying to find antiderivatives.
!!The Method of Partial Fractions
The method of partial fractions is used to integrate rational functions,
and essentially involves reversing the process of finding a common
denominator. For example, suppoes we have the function
$$R(x) = \frac{5x}{x^2 - x - 2}$$ and want to evaluate
$$\int \frac{5x}{x^2-x-2} \, dx.$$
Thinking algebraically, if we factor the denominator, we can see how $$R$$
might come from the sum of two fractions of the form
$$\frac{A}{x-2} + \frac{B}{x+1}.$$ In particular, suppose that
$$\frac{5x}{(x-2)(x+1)} = \frac{A}{x-2} + \frac{B}{x+1}.$$
Multiplying both sides of this last equation by $$(x-2)(x+1)$$, we find
that
$$5x = A(x+1) + B(x-2).$$
Since we want this equation to hold for every value of $$x$$, we can use
insightful choices of specific $$x$$-values to help us find $$A$$ and $$B$$.
Taking $$x = -1$$, we have
$$5(-1) = A(0) + B(-3),$$
and thus $$B = \frac{5}{3}$$. Choosing $$x = 2$$, it follows
so $$A = \frac{10}{3}.$$ Therefore, we now know that
$$\int \frac{5x}{x^2-x-2} \, dx = \int \frac{10/3}{x-2} + \frac{5/3}{x+1} \, dx.$$
This equivalent integral expression is straightforward to evaluate, and
hence we find that
$$\int \frac{5x}{x^2-x-2} \, dx = \frac{10}{3} \ln|x-2| + \frac{5}{3}\ln|x+1| + C.$$
It turns out that for any rational function $$R(x) = \frac{P(x)}{Q(x)}$$
where the degree of the polynomial $$P$$ is less than <<footnote [7] "If the degree of $$P$$ is greater than or equal to the degree of
$$Q$$, long division may be used to write $$R$$ as the sum of a
polynomial plus a rational function where the numerator’s degree is
less than the denominator’s.
">> the degree of
the polynomial $$Q$$, the method of partial fractions can be used to
rewrite the rational function as a sum of simpler rational functions of
one of the following forms:
$$\frac{A}{x-c}, \ \ \ \frac{A}{(x-c)^n}, \ \ \ {or} \ \ \ \frac{Ax+B}{x^2 + k}$$
where $$A$$, $$B$$, and $$c$$ are real numbers, and $$k$$ is a positive real
number. Because each of these basic forms is one we can
antidifferentiate, partial fractions enables us to antidifferentiate any
rational function.
A computer algebra system such as ''Maple'', ''Mathematica'', or
''WolframAlpha'' can be used to find the partial fraction decomposition of
any rational function. In ''WolframAlpha'', entering
`partial fraction 5x/(x^2-x-2)`
$$\frac{5x}{x^2-x-2} = \frac{10}{3(x-2)} + \frac{5}{3(x+1)}$$
We will primarily use technology to generate partial fraction
decompositions of rational functions, and then work from there to
evaluate the integrals of interest using established methods.
!!Using an Integral Table
Calculus has a long history, with key ideas going back as far as Greek
mathematicians in 400-300 BC. Its main foundations were first
investigated and understood independently by Isaac Newton and Gottfried
Wilhelm Leibniz in the late 1600s, making the modern ideas of calculus
well over 300 years old. It is instructive to realize that until the
late 1980s, the personal computer essentially did not exist, so calculus
(and other mathematics) had to be done by hand for roughly 300 years.
During the last 30 years, however, computers have revolutionized many
aspects of the world we live in, including mathematics. In this section
we take a short historical tour to precede the following discussion of
the role computer algebra systems can play in evaluating indefinite
integrals. In particular, we consider a class of integrals involving
certain radical expressions that, until the advent of computer algebra
systems, were often evaluated using an integral table.
As seen in the short table of integrals found in
''Appendix A'', there are also many forms of integrals
that involve $$\sqrt{a^2 \pm w^2}$$ and $$\sqrt{w^2 - a^2}.$$ These integral
rules can be developed using a technique known as ''trigonometric
substitution'' that we choose to omit; instead, we will simply accept the
results presented in the table. To see how these rules are needed and
used, consider the differences among
$$\int \frac{1}{\sqrt{1-x^2}} \,dx, \ \ \ \int \frac{x}{\sqrt{1-x^2}} \,dx, \ \ \ {and} \ \ \ \int \sqrt{1-x^2} \,dx.$$
The first integral is a familiar basic one, and results in
$$\arcsin(x) + C$$. The second integral can be evaluated using a standard
$$u$$-substitution with $$u = 1-x^2$$. The third, however, is not familiar
and does not lend itself to $$u$$-substitution.
In ''Appendix A'', we find the rule
$$(3) ~ \int \sqrt{u^2 \pm a^2} \, du = \frac{u}{2}\sqrt{u^2 \pm a^2} \pm \frac{a^2}{2}\ln|u + \sqrt{u^2 \pm a^2}| + C.$$
Using the substitutions $$a = 1$$ and $$u = x$$ (so that $$du = dx$$), and
choosing the “$$-$$” option from the $$\pm$$ in the rule, it follows that
$$\int \sqrt{1-x^2} \, dx = \frac{x}{2} \sqrt{x^2 - 1} - \frac{1}{2} \ln|x + \sqrt{x^2-1}| + C.$$
One important point to note is that whenever we are applying a rule in
the table, we are doing a $$u$$-substitution. This is especially key when
the situation is more complicated than allowing $$u = x$$ as in the last
example. For instance, say we wish to evaluate the integral
$$\int \sqrt{9 + 64x^2} \, dx.$$
Once again, we want to use Rule (3) from the table, but now do so with
$$a = 3$$ and $$u = 8x$$; we also choose the “$$+$$” option in the rule. With
this substitution, it follows that $$du = 8dx$$, so $$dx = \frac{1}{du}$$.
Applying this substitution,
$$\int \sqrt{9 + 64x^2} \, dx = \int \sqrt{9 + u^2} \cdot \frac{1}{8} \, du = \frac{1}{8} \int \sqrt{9+u^2} \, du.$$
By Rule (3), we now find that
<center>
<table class="equationtable">
<tr><td> $$\int \sqrt{9 + 64x^2}dx $$
</td><td>= $$ \frac{1}{8}(\frac{u}{2}\sqrt{u^2+9} +\frac{9}{2}\ln |u + \sqrt{u^2+9}| + C ) $$ </td></tr>
<tr><td></td><td>= $$ \frac{1}{8}(\frac{8x}{2}\sqrt{64^2+9} +\frac{9}{2}\ln |8x + \sqrt{64^2+9}| + C ) $$
</td></tr>
In problems such as this one, it is essential that we not forget to
account for the factor of $$\frac{1}{8}$$ that must be present in the
evaluation.
!!Using Computer Algebra Systems
A computer algebra system (CAS) is a computer program that is capable of
executing symbolic mathematics. For a simple example, if we ask a CAS to
solve the equation $$ax^2 + bx + c = 0$$ for the variable $$x$$, where $$a$$,
$$b$$, and $$c$$ are arbitrary constants, the program will return
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$. While research to develop the
first CAS dates to the 1960s, these programs became more common and
publicly available in the early 1990s. Two prominent early examples are
the programs ''Maple'' and ''Mathematica'', which were among the first
computer algebra systems to offer a graphical user interface. Today,
''Maple'' and ''Mathematica'' are exceptionally powerful professional
software packages that are capable of executing an amazing array of
sophisticated mathematical computations. They are also very expensive,
as each is a proprietary program. The CAS ''SAGE'' is an open-source, free
alternative to ''Maple'' and ''Mathematica''.
For the purposes of this text, when we need to use a CAS, we are going
to turn instead to a similar, but somewhat different computational tool,
the web-based “computational knowledge engine” called ''WolframAlpha''.
There are two features of ''WolframAlpha'' that make it stand out from the
CAS options mentioned above: (1) unlike ''Maple'' and ''Mathematica'',
''WolframAlpha'' is free (provided we are willing to suffer through some
pop-up advertising); and (2) unlike any of the three, the syntax in
''WolframAlpha'' is flexible. Think of ''WolframAlpha'' as being a little
bit like doing a Google search: the program will interpret what is
input, and then provide a summary of options.
If we want to have ''WolframAlpha'' evaluate an integral for us, we can
provide it syntax such as
to which the program responds with
$$\int x^2 \, dx = \frac{x^3}{3} + {constant}.$$
While there is much to be enthusiastic about regarding CAS programs such
as ''WolframAlpha'', there are several things we should be cautious about:
(1) a CAS only responds to exactly what is input; (2) a CAS can answer
using powerful functions from highly advances mathematics; and (3) there
are problems that even a CAS cannot do without additional human insight.
Although (1) likely goes without saying, we have to be careful with our
input: if we enter syntax that defines a function other than the problem
of interest, the CAS will work with precisely the function we define.
For example, if we are interested in evaluating the integral
$$\int \frac{1}{16-5x^2} \, dx,$$
`integrate 1/16 - 5x^2 dx`
a CAS will (correctly) reply with
$$\frac{1}{16}x - \frac{5}{3} x^3.$$
It is essential that we are sufficiently well-versed in
antidifferentiation to recognize that this function cannot be the the
one that we seek: integrating a rational function such as
$$\frac{1}{16-5x^2}$$, we expect the logarithm function to be present in
the result.
Regarding (2), even for a relatively simple integral such as
$$\int \frac{1}{16-5x^2} \, dx,$$ some CASs will invoke advanced functions
rather than simple ones. For instance, if we use ''Maple'' to execute the
command
the program responds with
$$\int \frac{1}{16-5x^2} \, dx = \frac{\sqrt{5}}{20} {arctanh}(\frac{\sqrt{5}}{4}x).$$
While this is correct (save for the missing arbitrary constant, which
''Maple'' never reports), the inverse hyperbolic tangent function is not a
common nor familiar one; a simpler way to express this function can be
found by using the partial fractions method, and happens to be the
result reported by ''WolframAlpha'':
$$\int \frac{1}{16-5x^2} \, dx = \frac{1}{8\sqrt{5}} \left(\log(4\sqrt{5}+5\sqrt{x}) - \log(4\sqrt{5}-5\sqrt{x})\right) + {constant}.$$
Using sophisticated functions from more advanced mathematics is
sometimes the way a CAS says to the user “I don’t know how to do this
problem.” For example, if we want to evaluate
and we ask ''WolframAlpha'' to do so, the input
$$\int e^{-x^2} \, dx = \frac{\sqrt{\pi}}{2}{erf}(x) + {constant}.$$
The function “erf$$(x)$$” is the ''error function'', which is actually
defined by an integral:
$${erf}(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} \, dt.$$
So, in producing output involving an integral, the CAS has basically
reported back to us the very question we asked.
Finally, as remarked at (3) above, there are times that a CAS will
actually fail without some additional human insight. If we consider the
integral
$$\int (1+x)e^x \sqrt{1+x^2e^{2x}} \, dx$$
and ask ''WolframAlpha'' to evaluate
`int (1+x) '' exp(x) '' sqrt(1+x^2 '' exp(2x)) dx`,
the program thinks for a moment and then reports
(''no result found in terms of standard mathematical functions'')
But in fact this integral is not that difficult to evaluate. If we let
$$u = xe^{x}$$, then $$du = (1+x)e^x \, dx$$, which means that the preceding
integral has form
$$\int (1+x)e^x \sqrt{1+x^2e^{2x}} \, dx = \int \sqrt{1+u^2} \, du,$$
which is a straightforward one for any CAS to evaluate.
So, the above observations regarding computer algebra systems lead us to
proceed with some caution: while any CAS is capable of evaluating a wide
range of integrals (both definite and indefinite), there are times when
the result can mislead us. We must think carefully about the meaning of
the output, whether it is consistent with what we expect, and whether or
not it makes sense to proceed.
!!Summary
---
In this section, we encountered the following important ideas:
---
* The method of partial fractions enables any rational function to be antidifferentiated, because any polynomial function can be factored into a product of linear and irreducible quadratic terms. This allows any rational function to be written as the sum of a polynomial plus rational terms of the form $$\frac{A}{(x-c)^n}$$ (where $$n$$ is a natural number) and $$\frac{Bx+C}{x^2 + k}$$ (where $$k$$ is a positive real number).
* Until the development of computing algebra systems, integral tables enabled students of calculus to more easily evaluate integrals such as $$\int \sqrt{a^2 + u^2} \, du$$, where $$a$$ is a positive real number. A short table of integrals may be found in ''Appendix A''.
* Computer algebra systems can play an important role in finding antiderivatives, though we must be cautious to use correct input, to watch for unusual or unfamiliar advanced functions that the CAS may cite in its result, and to consider the possibility that a CAS may need further assistance or insight from us in order to answer a particular question.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
For each of the indefinite integrals below, the main question is to
decide whether the integral can be evaluated using $$u$$-substitution,
integration by parts, a combination of the two, or neither. For
integrals for which your answer is affirmative, state the
substitution(s) you would use. It is not necessary to actually evaluate
any of the integrals completely, unless the integral can be evaluated
immediately using a familiar basic antiderivative.
''a)'' $$\int x^2 \sin(x^3) \, dx$$, $$\int x^2 \sin(x) \, dx$$,
$$\int \sin(x^3) \, dx$$, $$\int x^5 \sin(x^3) \, dx$$
''b)'' $$\int \frac{1}{1+x^2} \, dx$$, $$\int \frac{x}{1+x^2} \, dx$$,
$$\int \frac{2x+3}{1+x^2} \, dx$$,
$$\int \frac{e^x}{1+(e^x)^2} \, dx$$,
''c)'' $$\int x \ln(x) \, dx$$, $$\int \frac{\ln(x)}{x} \, dx$$,
$$\int \ln(1+x^2) \, dx$$, $$\int x\ln(1+x^2) \, dx$$,
''d)'' $$\int x \sqrt{1-x^2} \, dx$$,
$$\int \frac{1}{\sqrt{1-x^2}} \, dx$$,
$$\int \frac{x}{\sqrt{1-x^2}}\, dx$$,
$$\int \frac{1}{x\sqrt{1-x^2}} \, dx$$,
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In this activity, we explore the relationships among the errors generated by left, right, midpoint, and trapezoid approximations to the definite integral $$\int_1^2 \frac{1}{x^2} \, dx$$
''a)'' Use the First FTC to evaluate $$\int_1^2 \frac{1}{x^2} \, dx$$ exactly.
''b)'' Use appropriate computing technology to compute the following
approximations for $$\int_1^2 \frac{1}{x^2} \, dx$$: $$T_4$$, $$M_4$$, $$T_8$$,
and $$M_8$$.
''c)'' Let the ''error'' of an approximation be the difference between the exact
value of the definite integral and the resulting approximation. For
instance, if we let $$E_{T,4}$$ represent the error that results from
using the trapezoid rule with 4 subintervals to estimate the integral,
we have
$$E_{T,4} = \int_1^2 \frac{1}{x^2} \, dx - T_4.$$
Similarly, we compute the error of the midpoint rule approximation with
8 subintervals by the formula
$$E_{M,8} = \int_1^2 \frac{1}{x^2} \, dx - M_8.$$
Based on your work in (a) and (b) above, compute $$E_{T,4}$$, $$E_{T,8}$$,
$$E_{M,4}$$, $$E_{M,8}$$.
''d)'' Which rule consistently over-estimates the exact value of the definite
integral? Which rule consistently under-estimates the definite integral?
''e)'' What behavior(s) of the function $$f(x) = \frac{1}{x^2}$$ lead to your
observations in (d)?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
./5.6.Act1.tex:1: Emergency stop. ...
[A:5.6.1] In this activity, we explore the relat...
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produced!
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A car traveling along a straight road is braking and its velocity is measured at several different points in time, as given in the following table. Assume that $$v$$ is continuous, always decreasing, and always decreasing at a decreasing rate, as is suggested by the data.
[img width="100%" [table.5.6.c]]
''a)'' Plot the given data on the set of axes provided in Figure [F:5.6.Act2]
with time on the horizontal axis and the velocity on the vertical axis.
''b)'' What definite integral will give you the exact distance the car traveled
on $$[0,1.8]$$?
''c)'' Estimate the total distance traveled on $$[0,1.8]$$ by computing $$L_3$$,
$$R_3$$, and $$T_3$$. Which of these under-estimates the true distance
traveled?
''d)'' Estimate the total distance traveled on $$[0,1.8]$$ by computing $$M_3$$. Is
this an over- or under-estimate? Why?
''e)'' Use your results from (c) and (d) improve your estimate further by using
Simpson’s Rule.
''f)'' What is your best estimate of the average velocity of the car on
$$[0,1.8]$$? Why? What are the units on this quantity?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the functions $$f(x) = 2-x^2$$, $$g(x) = 2-x^3$$, and $$h(x) = 2-x^4$$, all on the interval $$[0,1]$$. For each of the questions that require a numerical answer in what follows, write your answer exactly in fraction form.
''a)'' On the three sets of axes provided in Figure [F:5.6.Act3], sketch a
graph of each function on the interval $$[0,1]$$, and compute $$L_1$$ and
$$R_1$$ for each. What do you observe?
''b)'' Compute $$M_1$$ for each function to approximate $$\int_0^1 f(x) \,dx$$,
$$\int_0^1 g(x) \,dx$$, and $$\int_0^1 h(x) \,dx$$, respectively.
''c)'' Compute $$T_1$$ for each of the three functions, and hence compute $$S_1$$
for each of the three functions.
''d)'' Evaluate each of the integrals $$\int_0^1 f(x) \,dx$$,
$$\int_0^1 g(x) \,dx$$, and $$\int_0^1 h(x) \,dx$$ exactly using the First
FTC.
''e)'' For each of the three functions $$f$$, $$g$$, and $$h$$, compare the results
of $$L_1$$, $$R_1$$, $$M_1$$, $$T_1$$, and $$S_1$$ to the true value of the
corresponding definite integral. What patterns do you observe?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the definite integral $$\int_0^1 x \tan(x) \, dx$$.
''a)'' Explain why this integral cannot be evaluated exactly by using either
$$u$$-substitution or by integrating by parts.
''b)'' Using 4 subintervals, compute $$L_4$$, $$R_4$$, $$M_4$$, $$T_4$$, and $$S_4$$.
''c)'' Which of the approximations in (b) is an over-estimate to the true value
of $$\int_0^1 x \tan(x) \, dx$$? Which is an under-estimate? How do you
know?
''2.'' For an unknown function $$f(x)$$, the following information is known.
''o'' $$f$$ is continuous on $$[3,6]$$;
''o'' $$f$$ is either always increasing or always decreasing on $$[3,6]$$;
''o'' $$f$$ has the same concavity throughout the interval $$[3,6]$$;
''o'' As approximations to $$\int_3^6 f(x) \, dx$$, $$L_4 = 7.23$$, $$R_4 = 6.75$$,
and $$M_4 = 7.05$$.
''a)'' Is $$f$$ increasing or decreasing on $$[3,6]$$? What data tells you?
''b)'' Is $$f$$ concave up or concave down on $$[3,6]$$? Why?
''c)'' Determine the best possible estimate you can for $$\int_3^6 f(x) \, dx$$,
based on the given information.
''3.'' The rate at which water flows through Table Rock Dam on the White River
in Branson, MO, is measured in thousands of cubic feet per second
(TCFS). As engineers open the floodgates, flow rates are recorded
according to the following chart.
[img width="100%" [ex.5.6.table]]
''a)'' What definite integral measures the total volume of water to flow
through the dam in the 60 second time period provided by the table
above?
''b)'' Use the given data to calculate $$M_n$$ for the largest possible value of
$$n$$ to approximate the integral you stated in (a). Do you think $$M_n$$
over- or under-estimates the exact value of the integral? Why?
''c)'' Approximate the integral stated in (a) by calculating $$S_n$$ for the
largest possible value of $$n$$, based on the given data.
''d)'' Compute $$\frac{1}{60} S_n$$ and
$$\frac{2000+2100+2400+3000+3900+5100+6500}{7}$$. What quantity do both of
these values estimate? Which is a more accurate approximation?
How do we accurately evaluate a definite integral such as
$$\int_0^1 e^{-x^2} \, dx$$ when we cannot use the First Fundamental
Theorem of Calculus because the integrand lacks an elementary algebraic
antiderivative? Are there ways to generate accurate estimates without
using extremely large values of $$n$$ in Riemann sums?
What is the Trapezoid Rule, and how is it related to left, right, and
middle Riemann sums?
How are the errors in the Trapezoid Rule and Midpoint Rule related, and
how can they be used to develop an even more accurate rule?
When we were first exploring the problem of finding the net-signed area
bounded by a curve, we developed the concept of a Riemann sum as a
helpful estimation tool and a key step in the definition of the definite
integral. In particular, as we found in <<reference 4.2.Riemann>>, recall
that the left, right, and middle Riemann sums of a function $$f$$ on an
interval $$[a,b]$$ are denoted $$L_n$$, $$R_n$$, and $$M_n$$, with formulas
$$L_n = f(x_0)\triangle x + f(x_1) \triangle x +... + f(x_{n-1})\triangle x =\sum_{i=0}^{n-1} f(x_i) \triangle x,$$
$$R_n = f(x_0)\triangle x + f(x_1) \triangle x +... + f(x_{n})\triangle x =\sum_{i=1}^{n} f(x_i) \triangle x,$$
$$M_n = f(\bar{x_0})\triangle x + f(\bar{x_1}) \triangle x +... + f(\bar{x}_{n})\triangle x =\sum_{i=0}^{n-1} f(\bar{x_i}) \triangle x,$$
where $$x_0 = a$$, $$x_i = a + i\triangle x$$, $$x_n = b$$, and
$$\triangle x = \frac{b-a}{n}$$. For the middle sum, note that
$$\overline{x}_{i} = (x_{i-1} + x_i)/2$$.
Further, recall that a Riemann sum is essentially a sum of (possibly
signed) areas of rectangles, and that the value of $$n$$ determines the
number of rectangles, while our choice of left endpoints, right
endpoints, or midpoints determines how we use the given function to find
the heights of the respective rectangles we choose to use. Visually, we
can see the similarities and differences among these three options in
<<figreference 5_6_LRMsum.svg>>, where we consider the function
$$f(x) = \frac{1}{20}(x-4)^3 + 7$$ on the interval $$[1,8]$$, and use 5
rectangles for each of the Riemann sums.
<<figure 5_6_LRMsum.svg>>
While it is a good exercise to compute a few Riemann sums by hand, just
to ensure that we understand how they work and how varying the function,
the number of subintervals, and the choice of endpoints or midpoints
affects the result, it is of course the case that using computing
technology is the best way to determine $$L_n$$, $$R_n$$, and $$M_n$$ going
forward. Any computer algebra system will offer this capability; as we
saw in <<reference 4.3.PA1>>, a straightforward option that happens
to also be freely available online is the applet <<footnote [1] "Marc Renault, Shippensburg University
">> at
http://gvsu.edu/s/a9.
Note that we can adjust the formula for $$f(x)$$, the window of $$x$$- and
$$y$$-values of interest, the number of subintervals, and the method. See
<<reference 4.3.PA1>> for any needed reminders on how the applet
works.
In what follows in this section we explore several different
alternatives, including left, right, and middle Riemann sums, for
estimating definite integrals. One of our main goals in the upcoming
section is to develop formulas that enable us to estimate definite
integrals accurately without having to use exceptionally large numbers
of rectangles.
Throughout our work to date with developing and estimating definite
integrals, we have used the simplest possible quadrilaterals (that is,
rectangles) to subdivide regions with complicated shapes. It is natural,
however, to wonder if other familiar shapes might serve us even better.
In particular, our goal is to be able to accurately estimate
$$\int_a^b f(x) \, dx$$ without having to use extremely large values of
$$n$$ in Riemann sums.
To this end, we consider an alternative to $$L_n$$, $$R_n$$, and $$M_n$$, know
as the ''Trapezoid Rule''. The fundamental idea is simple: rather than
using a rectangle to estimate the (signed) area bounded by $$y = f(x)$$ on
a small interval, we use a trapezoid. For example, in
<<figreference 5_6_TRAP.svg>>, we estimate the area under the pictured curve using
three subintervals and the trapezoids that result from connecting the
corresponding points on the curve with straight lines.
The biggest difference between the Trapezoid Rule and a left, right, or
middle Riemann sum is that on each subinterval, the Trapezoid Rule uses
two function values, rather than one, to estimate the (signed) area
bounded by the curve. For instance, to compute $$D_1$$, the area of the
trapezoid generated by the curve $$y = f(x)$$ in <<figreference 5_6_TRAP.svg>> on
$$[x_0, x_1]$$, we observe that the left base of this trapezoid has length
$$f(x_0)$$, while the right base has length $$f(x_1)$$. In addition, the
height of this trapezoid is $$x_1 - x_0 = \triangle x = \frac{b-a}{3}$$.
Since the area of a trapezoid is the average of the bases times the
height, we have
$$D_1 = \frac{1}{2}(f(x_0) + f(x_1)) \cdot \triangle x.$$
Using similar computations for $$D_2$$ and $$D_3$$, we find that $$T_3$$, the
trapezoidal approximation to $$\int_a^b f(x) \, dx$$ is given by
<center>
<table class="equationtable">
<tr><td> $$T_3 $$
</td><td>= $$D_1 + D_2 +D_3 $$ </td></tr>
<tr><td></td><td>= $$ (f(x_0) + f(x_1)) \triangle x + \frac{1}{2}(f(x_1) + f(x_2)) \cdot \triangle x + \frac{1}{2}(f(x_2) +
f(x_3)) \cdot \triangle x$$
</td></tr>
Because both left and right endpoints are being used, we recognize
within the trapezoidal approximation the use of both left and right
Riemann sums. In particular, rearranging the expression for $$T_3$$ by
removing a factor of $$\frac{1}{2}$$, grouping the left endpoint
evaluations of $$f$$, and grouping the right endpoint evaluations of $$f$$,
we see that
.
$$T_3 = \frac{1}{2}[(f(x_0) \triangle x + f(x_1) \triangle x + f(x_2) \triangle x) + (f(x_1) \triangle x + f(x_2) \triangle x + f(x_3) \triangle x) ]$$
At this point, we observe that two familiar sums have arisen. Since the
left Riemann sum $$L_3$$ is
$$L_3 = f(x_0) \triangle x + f(x_1) \triangle x + f(x_2)$$, and the right
Riemann sum is
$$R_3 = f(x_1) \triangle x + f(x_2) \triangle x + f(x_3) \triangle x$$,
substituting $$L_3$$ and $$R_3$$ for the corresponding expressions in
''Equation 5.14'', it follows that
$$T_3 = \frac{1}{2} \left[ L_3 + R_3 \right].$$
We have thus seen the main ideas behind a very important result: using
trapezoids to estimate the (signed) area bounded by a curve is the same
as averaging the estimates generated by using left and right endpoints.
<table>
''The Trapezoid Rule.'' The trapezoidal approximation, $$T_n$$, of the
definite integral $$\int_a^b f(x) \, dx$$ using $$n$$ subintervals is given
by the rule
<br>
<br>
<center>
<table class="equationtable">
<tr><td> $$ T_n $$
</td><td>= $$ \frac{1}{2}(f(x_0) + f(x_1)) \triangle x + \frac{1}{2}(f(x_1) + f(x_2)) \triangle x +... $$ $$+
\frac{1}{2}(f(x_{n-1}) + f(x_n)) \triangle x$$ </td></tr>
<tr><td></td><td>= $$\sum_{i=0}^{n-1} \frac{1}{2}(f(x_i)+f(x_{i+1})$$
</td></tr>
<br>
<br>
Moreover, $$T_n = \frac{1}{2}[L_n +R_n]
!!Comparing the Midpoint and Trapezoid Rules
We know from the definition of the definite integral of a continuous
function $$f$$, that if we let $$n$$ be large enough, we can make the value
of any of the approximations $$L_n$$, $$R_n$$, and $$M_n$$ as close as we’d
like (in theory) to the exact value of $$\int_a^b f(x) \, dx$$. Thus, it
may be natural to wonder why we ever use any rule other than $$L_n$$ or
$$R_n$$ (with a sufficiently large $$n$$ value) to estimate a definite
integral. One of the primary reasons is that as $$n \to \infty$$,
$$\triangle x = \frac{b-a}{n} \to 0$$, and thus in a Riemann sum
calculation with a large $$n$$ value, we end up multiplying by a number
that is very close to zero. Doing so often generates roundoff error, as
representing numbers close to zero accurately is a persistent challenge
for computers.
Hence, we are exploring ways by which we can estimate definite integrals
to high levels of precision, but without having to use extremely large
values of $$n$$. Paying close attention to patterns in errors, such as
those observed in Activity [A:5.6.1], is one way to begin to see some
alternate approaches.
To begin, we make a comparison of the errors in the Midpoint and
Trapezoid rules from two different perspectives. First, consider a
function of consistent concavity on a given interval, and picture
approximating the area bounded on that interval by both the Midpoint and
Trapezoid rules using a single subinterval.
<<figure 5_6_MidVTrap.svg>>
As seen in <<figreference 5_6_MidVTrap.svg>>, it is evident that whenever the
function is concave up on an interval, the Trapezoid Rule with one
subinterval, $$T_1$$, will overestimate the exact value of the definite
integral on that interval. Moreover, from a careful analysis of the line
that bounds the top of the rectangle for the Midpoint Rule (shown in
magenta), we see that if we rotate this line segment until it is tangent
to the curve at the point on the curve used in the Midpoint Rule (as
shown at right in <<figreference 5_6_MidVTrap.svg>>), the resulting trapezoid has
the same area as $$M_1$$, and this value is less than the exact value of
the definite integral. Hence, when the function is concave up on the
interval, $$M_1$$ underestimates the integral’s true value.
These observations extend easily to the situation where the function’s
concavity remains consistent but we use higher values of $$n$$ in the
Midpoint and Trapezoid Rules. Hence, whenever $$f$$ is concave up on
$$[a,b]$$, $$T_n$$ will overestimate the value of $$\int_a^b f(x) \, dx$$,
while $$M_n$$ will underestimate $$\int_a^b f(x) \, dx$$. The reverse
observations are true in the situation where $$f$$ is concave down.
Next, we compare the size of the errors between $$M_n$$ and $$T_n$$. Again,
we focus on $$M_1$$ and $$T_1$$ on an interval where the concavity of $$f$$ is
consistent. In <<figreference 5_6_MidTrapError.svg>>, where the error of the
Trapezoid Rule is shaded in red, while the error of the Midpoint Rule is
shaded lighter red,
<<figure 5_6_MidTrapError.svg>>
it is visually apparent that the error in the Trapezoid Rule is more
significant. To see how much more significant, let’s consider two
examples and some particular computations.
If we let $$f(x) = 1-x^2$$ and consider $$\int_0^1 f(x) \,dx$$, we know by
the First FTC that the exact value of the integral is
$$\int_0^1 (1-x^2) \, dx = x - \frac{x^3}{3} \bigg\vert_0^1 = \frac{2}{3}.$$
Using appropriate technology to compute $$M_4$$, $$M_8$$, $$T_4$$, and $$T_8$$,
as well as the corresponding errors $$E_{M,4}$$, $$E_{M,8}$$, $$E_{T,4}$$, and
$$E_{T,8}$$, as we did in <<reference 5.6.Act1>>, we find the results
summarized in ''Table 5.1''. Note that in the table, we also include
the approximations and their errors for the example
$$\int_1^2 \frac{1}{x^2} \, dx$$ from <<reference 5.6.Act1>>.
[img width="100%" [table.5.5]]
Table 5.1: Calculations of T4, M4, T8, and M8, along with corresponding errors, for the definite integrals 1(1 − x2) dx and 2 1 dx. & $$\int_0^1 (1-x^2) \,dx = 0.\overline{6} $$ & error &
$$\int_1^2 \frac{1}{x^2} \, dx = 0.5$$ & error\
Recall that for a given function $$f$$ and interval $$[a,b]$$,
$$E_{T,4} = \int_a^b f(x) \,dx - T_4$$ calculates the difference between
the exact value of the definite integral and the approximation generated
by the Trapezoid Rule with $$n = 4$$. If we look at not only $$E_{T,4}$$,
but also the other errors generated by using $$T_n$$ and $$M_n$$ with
$$n = 4$$ and $$n = 8$$ in the two examples noted in ''Table 5.1'', we
see an evident pattern. Not only is the sign of the error (which
measures whether the rule generates an over- or under-estimate) tied to
the rule used and the function’s concavity, but the magnitude of the
errors generated by $$T_n$$ and $$M_n$$ seems closely connected. In
particular, the errors generated by the Midpoint Rule seem to be about
half the size of those generated by the Trapezoid Rule.
That is, we can observe in both examples that
$$E_{M,4} \approx -\frac{1}{2} E_{T,4}$$ and
$$E_{M,8} \approx -\frac{1}{2}E_{T,8}$$, which demonstrates a property of
the Midpoint and Trapezoid Rules that turns out to hold in general: for
a function of consistent concavity, the error in the Midpoint Rule has
the opposite sign and approximately half the magnitude of the error of
the Trapezoid Rule. Said symbolically,
$$E_{M,n} \approx -\frac{1}{2} E_{T,n}.$$
This important relationship suggests a way to combine the Midpoint and
Trapezoid Rules to create an even more accurate approximation to a
definite integral.
When we first developed the Trapezoid Rule, we observed that it can
equivalently be viewed as resulting from the average of the Left and
Right Riemann sums:
$$T_n = \frac{1}{2}(L_n + R_n).$$
Whenever a function is always increasing or always decreasing on the
interval $$[a,b]$$, one of $$L_n$$ and $$R_n$$ will over-estimate the true
value of $$\int_a^b f(x) \, dx$$, while the other will under-estimate the
integral. Said differently, the errors found in $$L_n$$ and $$R_n$$ will
have opposite signs; thus, averaging $$L_n$$ and $$R_n$$ eliminates a
considerable amount of the error present in the respective
approximations. In a similar way, it makes sense to think about
averaging $$M_n$$ and $$T_n$$ in order to generate a still more accurate
approximation.
At the same time, we’ve just observed that $$M_n$$ is typically about
twice as accurate as $$T_n$$. Thus, we instead choose to use the weighted
average
$$S_n = \frac{2M_n +T_n}{3}
The rule for $$S_n$$ giving by ''Equation 5.15'' is usually known as
''Simpson’s Rule''.<<footnote [9] "Thomas Simpson was an 18th century mathematician; his idea was to
extend the Trapezoid rule, but rather than using straight lines to
build trapezoids, to use quadratic functions to build regions whose
area was bounded by parabolas (whose areas he could find exactly).
Simpson’s Rule is often developed from the more sophisticated
perspective of using interpolation by quadratic functions.
">> We build upon the results in ''Table 5.1'' to
see the approximations generated by Simpson’s Rule. In particular, in
''Table 5.2'', we include all of the results in ''Table 5.1'',
but include additional results for $$S_4 = \frac{2M_4 + T_4}{3}$$ and
$$S_8 = \frac{2M_8 + T_8}{3}$$.
[img width="100%" [tabe.5.6.two]]
Table 5.2: Table 5.1 updated to include S4, S8, and the corresponding errors.
The results seen in ''Table 5.2'' are striking. If we consider the
$$S_8$$ approximation of $$\int_1^2 \frac{1}{x^2} \, dx$$, the error is only
$$E_{S,8} = 0.0000019434$$. By contrast, $$L_8 = 0.5491458502$$, so the
error of that estimate is $$E_{L,8} = -0.0491458502$$. Moreover, we
observe that generating the approximations for Simpson’s Rule is almost
no additional work: once we have $$L_n$$, $$R_n$$, and $$M_n$$ for a given
value of $$n$$, it is a simple exercise to generate $$T_n$$, and from there
to calculate $$S_n$$. The error in the Simpson’s Rule approximations of
$$\int_0^1 x^2 \, dx$$ is even smaller. <<footnote [10] "Similar to how the Midpoint and Trapezoid approximations are exact
for linear functions, Simpson’s Rule approximations are exact for
quadratic and cubic functions. See additional discussion on this
issue later in the section and in the exercises.
">>
These rules are not only useful for approximating definite integrals
such as $$\int_0^1 e^{-x^2} \, dx$$, for which we cannot find an
elementary antiderivative of $$e^{-x^2}$$, but also for approximating
definite integrals in the setting where we are given a function through
a table of data.
!!Overall observations regarding $$L_n$$, $$R_n$$, $$T_n$$, $$M_n$$, and $$S_n$$.
As we conclude our discussion of numerical approximation of definite
integrals, it is important to summarize general trends in how the
various rules over- or under-estimate the true value of a definite
integral, and by how much. To revisit some past observations and see
some new ones, we consider the following activity.
The results seen in the examples in <<reference 5.6.Act3>> generalize
nicely. For instance, for any function $$f$$ that is decreasing on
$$[a,b]$$, $$L_n$$ will over-estimate the exact value of
$$\int_a^b f(x) \,dx$$, and for any function $$f$$ that is concave down on
$$[a,b]$$, $$M_n$$ will over-estimate the exact value of the integral. An
excellent exercise is to write a collection of scenarios of possible
function behavior, and then categorize whether each of $$L_n$$, $$R_n$$,
$$T_n$$, and $$M_n$$ is an over- or under-estimate.
Finally, we make two important notes about Simpson’s Rule. When
T. Simpson first developed this rule, his idea was to replace the
function $$f$$ on a given interval with a quadratic function that shared
three values with the function $$f$$. In so doing, he guaranteed that this
new approximation rule would be exact for the definite integral of any
quadratic polynomial. In one of the pleasant surprises of numerical
analysis, it turns out that even though it was designed to be exact for
quadratic polynomials, Simpson’s Rule is exact for any cubic polynomial:
that is, if we are interested in an integral such as
$$\int_2^5 (5x^3 - 2x^2 + 7x - 4)\, dx$$, $$S_n$$ will always be exact,
regardless of the value of $$n$$. This is just one more piece of evidence
that shows how effective Simpson’s Rule is as an approximation tool for
estimating definite integrals. <<footnote [11] "One reason that Simpson’s Rule is so effective is that $$S_n$$
benefits from using $$2n+1$$ points of data. Because it combines
$$M_n$$, which uses $$n$$ midpoints, and $$T_n$$, which uses the $$n+1$$
endpoints of the chosen subintervals, $$S_n$$ takes advantage of the
maximum amount of information we have when we know function values
at the endpoints and midpoints of $$n$$ subintervals.
" >>
!!Summary
---
In this section, we encountered the following important ideas:
---
* For a definite integral such as $$\int_0^1 e^{-x^2} \, dx$$ when we cannot use the First Fundamental Theorem of Calculus because the integrand lacks an elementary algebraic antiderivative, we can estimate the integral’s value by using a sequence of Riemann sum approximations. Typically, we start by computing $$L_n$$, $$R_n$$, and $$M_n$$ for one or more chosen values of $$n$$.
* The Trapezoid Rule, which estimates $$\int_a^b f(x) \, dx$$ by using trapezoids, rather than rectangles, can also be viewed as the average of Left and Right Riemann sums. That is, $$T_n = \frac{1}{2}(L_n + R_n)$$.
* The Midpoint Rule is typically twice as accurate as the Trapezoid Rule, and the signs of the respective errors of these rules are opposites. Hence, by taking the weighted average $$S_n = \frac{2M_n + T_n}{3}$$, we can build a much more accurate approximation to $$\int_a^b f(x) \, dx$$ by using approximations we have already computed. The rule for $$S_n$$ is known as Simpson’s Rule, which can also be developed by approximating a given continuous function with pieces of quadratic polynomials.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
As we begin to investigate ways to approximate definite integrals, it
will be insightful to compare results to integrals whose exact values we
know. To that end, the following sequence of questions centers on
$$\int_0^3 x^2 \, dx$$.
''a)'' Use the applet at [`http://gvsu.edu/s/a9`](http://gvsu.edu/s/a9) with
the function $$f(x) = x^2$$ on the window of $$x$$ values from $$0$$ to $$3$$ to
compute $$L_3$$, the left Riemann sum with three subintervals.
''b)'' Likewise, use the applet to compute $$R_3$$ and $$M_3$$, the right and
middle Riemann sums with three subintervals, respectively.
''c)'' Use the Fundamental Theorem of Calculus to compute the exact value of
$$I = \int_0^3 x^2 \, dx$$.
''d)'' We define the ''error'' in an approximation of a definite integral to be
the difference between the integral’s exact value and the
approximation’s value. What is the error that results from using $$L_3$$?
From $$R_3$$? From $$M_3$$?
''e)'' In what follows in this section, we will learn a new approach to
estimating the value of a definite integral known as the Trapezoid Rule.
The basic idea is to use trapezoids, rather than rectangles, to estimate
the area under a curve. What is the formula for the area of a trapezoid
with bases of length $$b_1$$ and $$b_2$$ and height $$h$$?
''f)'' Working by hand, estimate the area under $$f(x) = x^2$$ on $$[0,3]$$ using
three subintervals and three corresponding trapezoids. What is the error
in this approximation? How does it compare to the errors you calculated
in (d)?
Finding Antiderivatives and Evaluating Integrals {#C:5}
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following problems, our goal is to determine the area of the region described. For each region, (i) determine the intersection points of the curves, (ii) sketch the region whose area is being found, (iii) draw and label a representative slice, and (iv) state the area of the representative slice. Then, state a definite integral whose value is the exact area of the region, and evaluate the integral to find the numeric value of the region's area.
''a)'' The finite region bounded by $$y = \sqrt{x}$$ and $$y = \frac{1}{4}x$$.
''b)'' The finite region bounded by $$y = 12-2x^2$$ and $$y = x^2 - 8$$.
''c)'' The area bounded by the $$y$$-axis, $$f(x) = \cos(x)$$, and
$$g(x) = \sin(x)$$, where we consider the region formed by the first
positive value of $$x$$ for which $$f$$ and $$g$$ intersect.
''d)'' The finite regions between the curves $$y = x^3-x$$ and $$y = x^2$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following problems, our goal is to determine the area of the region described. For each region, (i) determine the intersection points of the curves, (ii) sketch the region whose area is being found, (iii) draw and label a representative slice, and (iv) state the area of the representative slice. Then, state a definite integral whose value is the exact area of the region, and evaluate the integral to find the numeric value of the region's area. ''Note well'' At the step where you draw a representative slice, you need to make a choice about whether to slice vertically or horizontally.
\ba
''a)'' The finite region bounded by $$x=y^2$$ and $$x=6-2y^2$$.
''b)'' The finite region bounded by $$x=1-y^2$$ and $$x = 2-2y^2$$.
''c)'' The area bounded by the $$x$$-axis, $$y=x^2$$, and $$y=2-x$$.
''d)'' The finite regions between the curves $$x=y^2-2y$$ and $$y=x$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Each of the following questions somehow involves the arc length along a curve.
''a)'' Use the definition and appropriate computational technology to determine
the arc length along $$y = x^2$$ from $$x = -1$$ to $$x = 1$$.
''b)'' Find the arc length of $$y = \sqrt{4-x^2}$$ on the interval
$$-2 \le x \le 2$$. Find this value in two different ways: (a) by using a
definite integral, and (b) by using a familiar property of the curve.
''c)'' Determine the arc length of $$y = xe^{3x}$$ on the interval $$[0,1]$$.
''d)'' Will the integrals that arise calculating arc length typically be ones
that we can evaluate exactly using the First FTC, or ones that we need
to approximate? Why?
''e)'' A moving particle is traveling along the curve given by
$$y = f(x) = 0.1x^2 + 1$$, and does so at a constant rate of 7 cm/sec,
where both $$x$$ and $$y$$ are measured in cm (that is, the curve $$y = f(x)$$
is the path along which the object actually travels; the curve is not a
“position function”). Find the position of the particle when $$t = 4$$
sec, assuming that when $$t = 0$$, the particle’s location is $$(0,f(0))$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Find the exact area of each described region.
''a)'' The finite region between the curves $$x = y(y-2)$$ and $$x=-(y-1)(y-3)$$.
''b)'' The region between the sine and cosine functions on the interval
$$[\frac{\pi}{4}, \frac{3\pi}{4}]$$.
''c)'' The finite region between $$x = y^2 - y - 2$$ and $$y = 2x-1$$.
''d)'' The finite region between $$y = mx$$ and $$y = x^2-1$$, where $$m$$ is a
positive constant.
''2.'' Let $$f(x) = 1-x^2$$ and $$g(x) = ax^2 - a$$, where $$a$$ is an unknown real
number. For what value(s) of $$a$$ is the area between the curves $$f$$ and
$$g$$ equal to 2?
''3.'' Let $$f(x) = 2-x^2$$. Recall that the average value of any continuous
function $$f$$ on an interval $$[a,b]$$ is given by
$$\frac{1}{b-a} \int_a^b f(x) \, dx$$.
''a)'' Find the average value of $$f(x) = 2-x^2$$ on the interval $$[0,\sqrt{2}]$$.
Call this value $$r$$.
''b)'' Sketch a graph of $$y = f(x)$$ and $$y = r$$. Find their intersection
point(s).
''c)'' Show that on the interval $$[0,\sqrt{2}]$$, the amount of area that lies
below $$y = f(x)$$ and above $$y = r$$ is equal to the amount of area that
lies below $$y = r$$ and above $$y = f(x)$$.
''d)'' Will the result of (c) be true for any continuous function and its
average value on any interval? Why?
How can we use definite integrals to measure the area between two
curves?
How do we decide whether to integrate with respect to $$x$$ or with
respect to $$y$$ when we try to find the area of a region?
How can a definite integral be used to measure the length of a curve?
Early on in our work with the definite integral, we learned that if we
have a nonnegative velocity function, $$v$$, for an object moving along an
axis, the area under the velocity function between $$a$$ and $$b$$ tells us
the distance the object traveled on that time interval. Moreover, based
on the definition of the definite integral, that area is given precisely
by $$\int_a^b v(t) \, dt$$. Indeed, for any nonnegative function $$f$$ on an
interval $$[a,b]$$, we know that $$\int_a^b f(x) \, dx$$ measures the area
bounded by the curve and the $$x$$-axis between $$x = a$$ and $$x = b$$.
Through our upcoming work in the present section and chapter, we will
explore how definite integrals can be used to represent a variety of
different physically important properties. In Preview Activity [PA:6.1],
we begin this investigation by seeing how a single definite integral may
be used to represent the area between two curves.
!!The Area Between Two Curves
Through <<reference 6.1.PA1>>, we encounter a natural way to think
about the area between two curves: the area between the curves is the
area beneath the upper curve minus the area below the lower curve. For
the functions $$f(x) = (x-1)^2 + 1$$ and $$g(x) = x+2$$, shown in
<<figreference 6_1_PA1revisited.svg>>, we see that the upper curve is $$g(x) = x+2$$, and that the graphs
intersect at $$(0,2)$$ and $$(3,5)$$. Note that we can find these
intersection points by solving the system of equations given by
$$y = (x-1)^2 + 1$$ and $$y = x+2$$ through substitution: substituting $$x+2$$
for $$y$$ in the first equation yields $$x+2 = (x-1)^2 + 1$$, so
$$x+2 = x^2 - 2x + 1 + 1$$, and thus
$$x^2 - 3x = x(x-3) = 0,$$
from which it follows that $$x = 0$$ or $$x = 3$$. Using $$y = x+2$$, we find
the corresponding $$y$$-values of the intersection points.
<<figure 6_1_PA1revisited.svg>>
On the interval $$[0,3]$$, the area beneath $$g$$ is
$$\int_0^3 (x+2) \, dx = \frac{21}{2},$$
while the area under $$f$$ on the same interval is
$$\int_0^3 [(x-1)^2 + 1] \, dx = 6.$$
Thus, the area between the curves is
$$A = \int_0^3 (x+2) dx - \int_0^3 [(x-1)^2 + 1] dx =\frac{21}{2} - 6 =\frac{9}{2} .
$$
A slightly different perspective is also helpful here: if we take the
region between two curves and slice it up into thin vertical rectangles
(in the same spirit as we originally sliced the region between a single
curve and the $$x$$-axis in <<reference 4.2.Riemann>>), then we see that the
height of a typical rectangle is given by the difference between the two
functions. For example, for the rectangle shown at left in
<<figreference 6_1_PA1revisited2.svg>>, we see that the rectangle’s height is $$g(x) - f(x)$$, while its width can
be viewed as $$\triangle x$$, and thus the area of the rectangle is
$$A_{{\small{rect}}} = (g(x) - f(x)) \triangle x.$$
<<figure 6_1_PA1revisited2.svg>>
The area between the two curves on $$[0,3]$$ is thus approximated by the
Riemann sum
$$A \approx \sum_{i=1}^{n} (g(x_i) - f(x_i)) \triangle x,$$
and then as we let $$n \to \infty$$, it follows that the area is given by
the single definite integral
$$ A = \int_0^3 (g(x) - f(x)) dx.$$
In many applications of the definite integral, we will find it helpful
to think of a “representative slice” and how the definite integral may
be used to add these slices to find the exact value of a desired
quantity. Here, the integral essentially sums the areas of thin
rectangles.
Finally, whether we think of the area between two curves as the
difference between the area bounded by the individual curves (as
in ''6.1''. or as the limit of a Riemann sum that adds the areas
of thin rectangles between the curves (as in ''6.2''), these two
results are the same, since the difference of two integrals is the
integral of the difference:
$$\int_0^3 g(x) \, dx - \int_0^3 f(x) \, dx = \int_0^3 (g(x) - f(x)) \, dx.$$
Moreover, our work so far in this section exemplifies the following
general principle.
<table>
If two curves $$y = g(x)$$ and $$y = f(x)$$ intersect at $$(a,g(a))$$ and
$$(b,g(b))$$, and for all $$x$$ such that $$a \le x \le b$$, $$g(x) \ge f(x)$$,
then the area between the curves is $$ \int_a^b (g(x) - f(x)) \, dx.$$
!!Finding Area with Horizontal Slices
At times, the shape of a geometric region may dictate that we need to
use horizontal rectangular slices, rather than vertical ones. For
instance, consider the region bounded by the parabola $$x = y^2 - 1$$ and
the line $$y = x-1$$, pictured in <<figreference 6_1_IntWRTy.svg>>. First, we
observe that by solving the second equation for $$x$$ and writing
$$x = y + 1$$, we can eliminate a variable through substitution and find
that $$y+1 = y^2 - 1$$, and hence the curves intersect where
$$y^2 - y - 2 = 0$$. Thus, we find $$y = -1$$ or $$y = 2$$, so the
intersection points of the two curves are $$(0,-1)$$ and $$(3,2)$$.
We see that if we attempt to use vertical rectangles to slice up the
area, at certain values of $$x$$ (specifically from $$x = -1$$ to $$x = 0$$,
as seen in the center graph of <<figreference 6_1_IntWRTy.svg>>, the curves that
govern the top and bottom of the rectangle are one and the same. This
suggests, as shown in the rightmost graph in the figure, that we try
using horizontal rectangles as a way to think about the area of the
region.
<<figure 6_1_IntWRTy.svg>>
For such a horizontal rectangle, note that its width depends on $$y$$, the
height at which the rectangle is constructed. In particular, at a height
$$y$$ between $$y = -1$$ and $$y = 2$$, the right end of a representative
rectangle is determined by the line, $$x = y+1$$, while the left end of
the rectangle is determined by the parabola, $$x = y^2-1$$, and the
thickness of the rectangle is $$\triangle y$$.
Therefore, the area of the rectangle is
$$A_{{\small{rect}}} = [(y+1) - (y^2-1)] \triangle y,$$
from which it follows that the area between the two curves on the
$$y$$-interval $$[-1,2]$$ is approximated by the Riemann sum
$$A \approx \sum_{i=1}^{n} [(y_i+1)-(y_i^2-1)] \triangle y.$$
Taking the limit of the Riemann sum, it follows that the area of the
region is
$$A = \int_{y=1}^{y=2} [(y+1) - (y^2-1)] dy.$$
We emphasize that we are integrating with respect to $$y$$; this is
dictated by the fact that we chose to use horizontal rectangles whose
widths depend on $$y$$ and whose thickness is denoted $$\triangle y$$. It is
a straightforward exercise to evaluate the integral in
''Equation 6.3'' and find that $$A = \frac{9}{2}$$.
Just as with the use of vertical rectangles of thickness $$\triangle x$$,
we have a general principle for finding the area between two curves,
which we state as follows.
<table>
If two curves $$x = g(y)$$ and $$x = f(y)$$ intersect at $$(g(c),c)$$ and
$$(g(d),d)$$, and for all $$y$$ such that $$c \le y \le d$$, $$g(y) \ge f(y)$$,
then the area between the curves is
$$\int_{y=c}^{y=d} (g(y) - f(y))dy$$
!!Finding the length of a curve
In addition to being able to use definite integrals to find the areas of
certain geometric regions, we can also use the definite integral to find
the length of a portion of a curve. We use the same fundamental
principle: we take a curve whose length we cannot easily find, and slice
it up into small pieces whose lengths we can easily approximate. In
particular, we take a given curve and subdivide it into small
approximating line segments, as shown at left in
<<figreference 6_1_ArcLength.svg>>.
<<figure 6_1_ArcLength.svg>>
To see how we find such a definite integral that measures arc length on
the curve $$y = f(x)$$ from $$x = a$$ to $$x = b$$, we think about the portion
of length, $$L_{{\small{slice}}}$$, that lies along the curve on a
small interval of length $$\triangle x$$, and estimate the value of
$$L{{\small{slice}}}$$ using a well-chosen triangle. In particular,
if we consider the right triangle with legs parallel to the coordinate
axes and hypotenuse connecting two points on the curve, as seen at right
in <<figreference 6_1_ArcLength.svg>>, we see that the length, $$h$$, of the
hypotenuse approximates the length, $$L_{{\small{slice}}}$$, of the
curve between the two selected points. Thus,
$$L_{{\small{slice}}} \approx h = \sqrt{ (\triangle x)^2 + (\triangle y)^2 }.$$
By algebraically rearranging the expression for the length of the
hypotenuse, we see how a definite integral can be used to compute the
length of a curve. In particular, observe that by removing a factor of
$$(\triangle x)^2$$, we find that
<center>
<table class="equationtable">
<tr><td> $$L_{{\small{slice}}} $$
</td><td> $$\approx \sqrt{ (\triangle x)^2 + (\triangle y)^2 }. $$ </td></tr>
<tr><td></td><td>= $$ \sqrt{ (\triangle x)^2 ( 1 + (\frac{(\triangle y)^2}{(\triangle x)^2}) } $$
</td></tr>
<tr><td></td><td>= $$\sqrt{ 1 + (\frac{(\triangle y)^2}{(\triangle x)^2})} \cdot \triangle x $$
</td></tr>
Furthermore, as $$n \to \infty$$ and $$\triangle x \to 0$$, it follows that
$$\frac{\triangle y}{\triangle x} \to \frac{dy}{dx} = f'(x)$$. Thus, we
can say that
$$L_{{\small{slice}}} \approx \sqrt{1 + f'(x)^2} \triangle x.$$
Taking a Riemann sum of all of these slices and letting $$n \to \infty$$,
we arrive at the following fact.
<table>
Given a differentiable function $$f$$ on an interval $$[a,b]$$, the total
arc length, $$L$$, along the curve $$y = f(x)$$ from $$x = a$$ to $$x = b$$ is
given by $$L = \sqrt{1 + f'(x)^2} dx.$$
!!Summary
---
In this section, we encountered the following important ideas:
---
* To find the area between two curves, we think about slicing the region into thin rectangles. If, for instance, the area of a typical rectangle on the interval $$x = a$$ to $$x = b$$ is given by $$A_{{\small{rect}}} = (g(x) - f(x)) \triangle x,$$ then the exact area of the region is given by the definite integral
$$A = \int_a^b (g(x)-f(x))\, dx.$$
* The shape of the region usually dictates whether we should use vertical rectangles of thickness $$\triangle x$$ or horizontal rectangles of thickness $$\triangle y$$. We desire to have the height of the rectangle governed by the difference between two curves: if those curves are best thought of as functions of $$y$$, we use horizontal rectangles, whereas if those curves are best viewed as functions of $$x$$, we use vertical rectangles.
* The arc length, $$L$$, along the curve $$y = f(x)$$ from $$x = a$$ to $$x = b$$ is given by
$$L = \int_a^b \sqrt{1 + f'(x)^2} \, dx.$$
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the functions given by $$f(x) = 5-(x-1)^2$$ and $$g(x) = 4-x$$.
''a)'' Use algebra to find the points where the graphs of $$f$$ and $$g$$
intersect.
''b)'' Sketch an accurate graph of $$f$$ and $$g$$ on the axes provided, labeling
the curves by name and the intersection points with ordered pairs.
''c)'' Find and evaluate exactly an integral expression that represents the
area between $$y = f(x)$$ and the $$x$$-axis on the interval between the
intersection points of $$f$$ and $$g$$.
''d)'' Find and evaluate exactly an integral expression that represents the
area between $$y = g(x)$$ and the $$x$$-axis on the interval between the
intersection points of $$f$$ and $$g$$.
''e)'' What is the exact area between $$f$$ and $$g$$ between their intersection
points? Why?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following questions, draw a careful, labeled sketch of
the region described, as well as the resulting solid that results from
revolving the region about the stated axis. In addition, draw a
representative slice and state the volume of that slice, along with a
definite integral whose value is the volume of the entire solid. It is
not necessary to evaluate the integrals you find.
''a)'' The region $$S$$ bounded by the $$x$$-axis, the curve $$y = \sqrt{x}$$, and
the line $$x = 4$$; revolve $$S$$ about the $$x$$-axis.
''b)'' The region $$S$$ bounded by the $$y$$-axis, the curve $$y = \sqrt{x}$$, and
the line $$y = 2$$; revolve $$S$$ about the $$x$$-axis.
''c)'' The finite region $$S$$ bounded by the curves $$y = \sqrt{x}$$ and
$$y = x^3$$; revolve $$S$$ about the $$x$$-axis.
''d)'' The finite region $$S$$ bounded by the curves $$y = 2x^2 + 1$$ and
$$y = x^2 + 4$$; revolve $$S$$ about the $$x$$-axis
''e)'' The region $$S$$ bounded by the $$y$$-axis, the curve $$y = \sqrt{x}$$, and
the line $$y = 2$$; revolve $$S$$ about the $$y$$-axis. How does the problem
change considerably when we revolve about the $$y$$-axis?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following questions, draw a careful, labeled sketch of
the region described, as well as the resulting solid that results from
revolving the region about the stated axis. In addition, draw a
representative slice and state the volume of that slice, along with a
definite integral whose value is the volume of the entire solid. It is
not necessary to evaluate the integrals you find.
''a)'' The region $$S$$ bounded by the $$y$$-axis, the curve $$y = \sqrt{x}$$, and
the line $$y = 2$$; revolve $$S$$ about the $$y$$-axis.
''b)'' The region $$S$$ bounded by the $$x$$-axis, the curve $$y = \sqrt{x}$$, and
the line $$x = 4$$; revolve $$S$$ about the $$y$$-axis.
''c)'' The finite region $$S$$ in the first quadrant bounded by the curves
$$y = 2x$$ and $$y = x^3$$; revolve $$S$$ about the $$x$$-axis.
''d)'' The finite region $$S$$ in the first quadrant bounded by the curves
$$y = 2x$$ and $$y = x^3$$; revolve $$S$$ about the $$y$$-axis.
''e)'' The finite region $$S$$ bounded by the curves $$x = (y-1)^2$$ and
$$y = x-1$$; revolve $$S$$ about the $$y$$-axis
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following questions, draw a careful, labeled sketch of the region described, as well as the resulting solid that results from revolving the region about the stated axis. In addition, draw a representative slice and state the volume of that slice, along with a definite integral whose value is the volume of the entire solid. It is not necessary to evaluate the integrals you find. For each prompt, use the finite region $$S$$ in the first quadrant bounded by the curves $$y = 2x$$ and $$y = x^3$$.
''a)'' Revolve $$S$$ about the line $$y = -2$$.
''b)'' Revolve $$S$$ about the line $$y = 4$$.
''c)'' Revolve $$S$$ about the line $$x=-1$$.
''d)'' Revolve $$S$$ about the line $$x = 5$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider a circular cone of radius 3 and height 5, which we view horizontally as pictured in <<figreference 6_2_PA1.svg>>. Our goal in this activity is to use a definite integral to determine the volume of the cone.
''a)'' Find a formula for the linear function $$y = f(x)$$ that is pictured in
Figure [F:PA.6.2].
''b)'' For the representative slice of thickness $$\triangle x$$ that is located
horizontally at a location $$x$$ (somewhere between $$x = 0$$ and $$x = 5$$),
what is the radius of the representative slice? Note that the radius
depends on the value of $$x$$.
''c)'' What is the volume of the representative slice you found in (b)?
''d)'' What definite integral will sum the volumes of the thin slices across
the full horizontal span of the cone? What is the exact value of this
definite integral?
''e)'' Compare the result of your work in (d) to the volume of the cone that
comes from using the formula
$$V_{\text{\small{cone}}} = \frac{1}{3} \pi r^2 h.$$
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the curve $$f(x) = 3 \cos(\frac{x^3}{4})$$ and the portion of its
graph that lies in the first quadrant between the $$y$$-axis and the first
positive value of $$x$$ for which $$f(x) = 0$$. Let $$R$$ denote the region
bounded by this portion of $$f$$, the $$x$$-axis, and the $$y$$-axis.
''a)'' Set up a definite integral whose value is the exact arc length of $$f$$
that lies along the upper boundary of $$R$$. Use technology appropriately
to evaluate the integral you find.
''b)'' Set up a definite integral whose value is the exact area of $$R$$. Use
technology appropriately to evaluate the integral you find.
''c)'' Suppose that the region $$R$$ is revolved around the $$x$$-axis. Set up a
definite integral whose value is the exact volume of the solid of
revolution that is generated. Use technology appropriately to evaluate
the integral you find.
''d)'' Suppose instead that $$R$$ is revolved around the $$y$$-axis. If possible,
set up an integral expression whose value is the exact volume of the
solid of revolution and evaluate the integral using appropriate
technology. If not possible, explain why.
''2.'' Consider the curves given by $$y = \sin(x)$$ and $$y = \cos(x)$$. For each
of the following problems, you should include a sketch of the
region/solid being considered, as well as a labeled representative
slice.
''a)'' Sketch the region $$R$$ bounded by the $$y$$-axis and the curves
$$y = \sin(x)$$ and $$y = \cos(x)$$ up to the first positive value of $$x$$ at
which they intersect. What is the exact intersection point of the
curves?
''b)'' Set up a definite integral whose value is the exact area of $$R$$.
''c)'' Set up a definite integral whose value is the exact volume of the solid
of revolution generated by revolving $$R$$ about the $$x$$-axis.
''d)'' Set up a definite integral whose value is the exact volume of the solid
of revolution generated by revolving $$R$$ about the $$y$$-axis.
''e)'' Set up a definite integral whose value is the exact volume of the solid
of revolution generated by revolving $$R$$ about the line $$y = 2$$.
''f)'' Set up a definite integral whose value is the exact volume of the solid
of revolution generated by revolving $$R$$ about the $$x = -1$$.
''3.'' Consider the finite region $$R$$ that is bounded by the curves
$$y = 1+\frac{1}{2}(x-2)^2$$, $$y=\frac{1}{2}x^2$$, and $$x = 0$$.
''a)'' Determine a definite integral whose value is the area of the region
enclosed by the two curves.
''b)'' Find an expression involving one or more definite integrals whose value
is the volume of the solid of revolution generated by revolving the
region $$R$$ about the line $$y = -1$$.
''c)'' Determine an expression involving one or more definite integrals whose
value is the volume of the solid of revolution generated by revolving
the region $$R$$ about the $$y$$-axis.
''d)'' Find an expression involving one or more definite integrals whose value
is the perimeter of the region $$R$$.
How can we use a definite integral to find the volume of a
three-dimensional solid of revolution that results from revolving a
two-dimensional region about a particular axis?
In what circumstances do we integrate with respect to $$y$$ instead of
integrating with respect to $$x$$?
What adjustments do we need to make if we revolve about a line other
than the $$x$$- or $$y$$-axis?
Just as we can use definite integrals to add the areas of rectangular
slices to find the exact area that lies between two curves, we can also
employ integrals to determine the volume of certain regions that have
cross-sections of a particular consistent shape. As a very elementary
example, consider a cylinder of radius 2 and height 3, as pictured in
<<figreference 6_2_Intro.svg>>. While we know that we can compute the area of any
circular cylinder by the formula $$V = \pi r^2 h$$, if we think about
slicing the cylinder into thin pieces, we see that each is a cylinder of
radius $$r = 2$$ and height (thickness) $$\triangle x$$. Hence, the volume
of a representative slice is
$$V_{\small{\text{slice}}} = \pi \cdot 2^2 \cdot \triangle x.$$
Letting $$\triangle x \to 0$$ and using a definite integral to add the
volumes of the slices, we find that
$$V = \int_0^3 \pi \cdot 2^2 \, dx.$$
Moreover, since $$\int_0^3 4\pi \, dx = 12\pi$$, we have found that the
volume of the cylinder is $$4\pi$$. The principal problem of interest in
our upcoming work will be to find the volume of certain solids whose
cross-sections are all thin cylinders (or washers) and to do so by using
a definite integral. To that end, we first consider another familiar
shape in <<reference 6.2.PA1>>: a circular cone.
!!The Volume of a Solid of Revolution
A solid of revolution is a three dimensional solid that can be generated
by revolving one or more curves around a fixed axis. For example, we can
think of a circular cylinder as a solid of revolution: in
<<figreference 6_2_Intro.svg>>, this could be accomplished by revolving the line
segment from $$(0,2)$$ to $$(3,2)$$ about the $$x$$-axis. Likewise, the
circular cone in <<figreference 6_2_PA1.svg>> is the solid of revolution generated
by revolving the portion of the line $$y = 3 - \frac{3}{5}x$$ from $$x = 0$$
to $$x = 5$$ about the $$x$$-axis. It is particularly important to notice in
any solid of revolution that if we slice the solid perpendicular to the
axis of revolution, the resulting cross-section is circular.
We consider two examples to highlight some of the natural issues that
arise in determining the volume of a solid of revolution.
---
''Example 6.1.'' Find the volume of the solid of revolution generated when the region $$R$$
bounded by $$y = 4-x^2$$ and the $$x$$-axis is revolved about the $$x$$-axis.
First, we observe that $$y = 4-x^2$$ intersects the $$x$$-axis at the points
$$(-2,0)$$ and $$(2,0)$$. When we take the region $$R$$ that lies between the
curve and the $$x$$-axis on this interval and revolve it about the
$$x$$-axis, we get the three-dimensional solid pictured in
<<figreference 6_2_Ex1.svg>>.
Taking a representative slice of the solid located at a value $$x$$ that
lies between $$x = -2$$ and $$x = 2$$, we see that the thickness of such a
slice is $$\triangle x$$ (which is also the height of the cylinder-shaped
slice), and that the radius of the slice is determined by the curve
$$y = 4-x^2$$. Hence, we find that
$$V_{\text{\small{slice}}} = \pi (4-x^2)^2 \triangle x,$$
since the volume of a cylinder of radius $$r$$ and height $$h$$ is
$$V = \pi r^2 h$$.
Using a definite integral to sum the volumes of the representative
slices, it follows that
$$V = \int_{-2}^{2} \pi (4-x^2)^2 \, dx.$$
It is straightforward to evaluate the integral and find that the volume
is $$V = \frac{512}{15}\pi$$.
---
For a solid such as the one in ''Example 6.1'', where each
cross-section is a cylindrical disk, we first find the volume of a
typical cross-section (noting particularly how this volume depends on
$$x$$), and then we integrate over the range of $$x$$-values through which
we slice the solid in order to find the exact total volume. Often, we
will be content with simply finding the integral that represents the
sought volume; if we desire a numeric value for the integral, we
typically use a calculator or computer algebra system to find that
value.
The general principle we are using to find the volume of a solid of
revolution generated by a single curve is often called the ''disk
method''.
<table>
If $$y = r(x)$$ is a nonnegative continuous function on $$[a,b]$$, then the
volume of the solid of revolution generated by revolving the curve about
the $$x$$-axis over this interval is given by
<br>
<br>
<center>
$$V = \int_a^b \pi r(x)^2 dx$$
<br>
<br>
A different type of solid can emerge when two curves are involved, as we
see in the following example.
---
''Example 6.2.'' Find the volume of the solid of revolution generated when the finite
region $$R$$ that lies between $$y = 4-x^2$$ and $$y = x+2$$ is revolved about
the $$x$$-axis.
''Solution.'' First, we must determine where the curves $$y = 4-x^2$$ and $$y = x+2$$
intersect. Substituting the expression for $$y$$ from the second equation
into the first equation, we find that $$x + 2 = 4-x^2$$. Rearranging, it
follows that
and the solutions to this equation are $$x = -2$$ and $$x = 1$$. The curves
therefore cross at $$(-2,0)$$ and $$(1,1)$$.
When we take the region $$R$$ that lies between the curves and revolve it
about the $$x$$-axis, we get the three-dimensional solid pictured at left
in <<figreference 6_2_Ex2.svg>>.
Immediately we see a major difference between the solid in this example
and the one in ''Example 6.1'': here, the three-dimensional solid
of revolution isn’t “solid” in the sense that it has open space in its
center. If we slice the solid perpendicular to the axis of revolution,
we observe that in this setting the resulting representative slice is
not a solid disk, but rather a ''washer'', as pictured at right in
<<figreference 6_2_Ex2.svg>>. Moreover, at a given location $$x$$ between $$x = -2$$
and $$x = 1$$, the small radius $$r(x)$$ of the inner circle is determined
by the curve $$y = x+2$$, so $$r(x) = x+2$$. Similarly, the big radius
$$R(x)$$ comes from the function $$y = 4-x^2$$, and thus $$R(x) = 4-x^2$$.
Thus, to find the volume of a representative slice, we compute the
volume of the outer disk and subtract the volume of the inner disk.
Since
$$\pi R(x)^2 \triangle x - \pi r(x)^2 \triangle x = \pi [ R(x)^2 - r(x)^2] \triangle x,$$
it follows that the volume of a typical slice is
$$V_{\text{\small{slice}}} = \pi [ (4-x^2)^2 - (x+2)^2 ] \triangle x.$$
Hence, using a definite integral to sum the volumes of the respective
slices across the integral, we find that
$$V = \int_{-2}^1 \pi[ (4-x^2)^2 - (x+2)^2 ] \, dx.$$
Evaluating the integral, the volume of the solid of revolution is
$$V = \frac{108}{5}\pi$$.
The general principle we are using to find the volume of a solid of
revolution generated by a single curve is often called the ''washer
method''.
<table>
If $$y = R(x)$$ and $$y = r(x)$$ are nonnegative continuous functions on
$$[a,b]$$ that satisfy $$R(x) \ge r(x)$$ for all $$x$$ in $$[a,b]$$, then the
volume of the solid of revolution generated by revolving the region
between them about the $$x$$-axis over this interval is given by
<br>
<br>
<center>
$$V = \int_a^b \pi [R(x)^2 - r(x)^2] dx$$
<br>
<br>
!!Revolving about the $$y$$-axis
As seen in <<reference 6.2.Act1>>, problem (e), the problem changes
considerably when we revolve a given region about the $$y$$-axis.
Foremost, this is due to the fact that representative slices now have
thickness $$\triangle y$$, which means that it becomes necessary to
integrate with respect to $$y$$. Let’s consider a particular example to
demonstrate some of the key issues.
''Example 6.3.'' Find the volume of the solid of revolution generated when the finite
region $$R$$ that lies between $$y = \sqrt{x}$$ and $$y = x^4$$ is revolved
about the $$y$$-axis.
''Solution.'' We observe that these two curves intersect when $$x = 1$$, hence at the
point $$(1,1)$$. When we take the region $$R$$ that lies between the curves
and revolve it about the $$y$$-axis, we get the three-dimensional solid
pictured at left in <<figreference 6_2_Ex3.svg>>.
Now, it is particularly important to note that the thickness of a
representative slice is $$\triangle y$$, and that the slices are only
cylindrical washers in nature when taken perpendicular to the $$y$$-axis.
Hence, we envision slicing the solid horizontally, starting at $$y = 0$$
and proceeding up to $$y = 1$$. Because the inner radius is governed by
the curve $$y = \sqrt{x}$$, but from the perspective that $$x$$ is a
function of $$y$$, we solve for $$x$$ and get $$x = y^2 = r(y)$$. In the same
way, we need to view the curve $$y = x^4$$ (which governs the outer
radius) in the form where $$x$$ is a function of $$y$$, and hence
$$x = ^4\sqrt{y}$$. Therefore, we see that the volume of a typical slice
is
$$V_{{\small{slice}}} = \pi [R(y)^2 - r(y)^2] = \pi[^4\sqrt{y}^2 - (y^2)^2] \triangle y.$$
Using a definite integral to sum the volume of all the representative
slices from $$y = 0$$ to $$y = 1$$, the total volume is
$$V = \int_{y=0}^{y=1} \pi \left[ ^4\sqrt{y}^2 - (y^2)^2 \right] \, dy.$$
It is straightforward to evaluate the integral and find that
$$V = \frac{7}{15} \pi$$.
!!Revolving about horizontal and vertical lines other than the coordinate axes
Just as we can revolve about one of the coordinate axes ($$y = 0$$ or
$$x = 0$$), it is also possible to revolve around any horizontal or
vertical line. Doing so essentially adjusts the radii of cylinders or
washers involved by a constant value. A careful, well-labeled plot of
the solid of revolution will usually reveal how the different axis of
revolution affects the definite integral we set up. Again, an example is
instructive.
---
''Example 6.4.'' Find the volume of the solid of revolution generated when the finite
region $$S$$ that lies between $$y = x^2$$ and $$y = x$$ is revolved about the
line $$y = -1$$.
''Solution.'' Graphing the region between the two curves in the first quadrant between
their points of intersection ($$(0,0)$$ and $$(1,1)$$) and then revolving
the region about the line $$y = -1$$, we see the solid shown in
Figure [F:6.2.Ex4]. Each slice of the solid perpendicular to the axis of
revolution is a washer, and the radii of each washer are governed by the
curves $$y = x^2$$ and $$y = x$$. But we also see that there is one added
change: the axis of revolution adds a fixed length to each radius. In
particular, the inner radius of a typical slice, $$r(x)$$, is given by
$$r(x) = x^2 + 1$$, while the outer radius is $$R(x) = x+1$$. Therefore, the
volume of a typical slice is
$$V_{{\small{slice}}} = \pi[ R(x)^2 - r(x)^2 ] \triangle x = \pi \left[ (x+1)^2 - (x^2 + 1)^2 \right] \triangle x.$$
Finally, we integrate to find the total volume, and
$$V = \int_0^1 \pi \left[ (x+1)^2 - (x^2 + 1)^2 \right] \, dx = \frac{7}{15} \pi.$$
!!Summary
---
In this section, we encountered the following important ideas:
---
* We can use a definite integral to find the volume of a three-dimensional solid of revolution that results from revolving a two-dimensional region about a particular axis by taking slices perpendicular to the axis of revolution which will then be circular disks or washers.
* If we revolve about a vertical line and slice perpendicular to that line, then our slices are horizontal and of thickness $$\triangle y$$. This leads us to integrate with respect to $$y$$, as opposed to with respect to $$x$$ when we slice a solid vertically.
* If we revolve about a line other than the $$x$$- or $$y$$-axis, we need to carefully account for the shift that occurs in the radius of a typical slice. Normally, this shift involves taking a sum or difference of the function along with the constant connected to the equation for the horizontal or vertical line; a well-labeled diagram is usually the best way to decide the new expression for the radius.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the following situations in which mass is distributed in a non-constant manner.
''a)'' Suppose that a thin rod with constant cross-sectional area of 1 cm$$^2$$
has its mass distributed according to the density function
$$\rho(x) = 2e^{-0.2x}$$, where $$x$$ is the distance in cm from the left
end of the rod, and the units on $$\rho(x)$$ are g/cm. If the rod is 10 cm
long, determine the exact mass of the rod.
''b)'' Consider the cone that has a base of radius 4 m and a height of 5 m.
Picture the cone lying horizontally with the center of its base at the
origin and think of the cone as a solid of revolution.
''i.'' Write and evaluate a definite integral whose value is the volume of the
cone.
''ii.'' Next, suppose that the cone has uniform density of 800 kg/m$$^3$$. What is
the mass of the solid cone?
''iii.'' Now suppose that the cone’s density is not uniform, but rather that the
cone is most dense at its base. In particular, assume that the density
of the cone is uniform across cross sections parallel to its base, but
that in each such cross section that is a distance $$x$$ units from the
origin, the density of the cross section is given by the function
$$\rho(x) = 400 + \frac{200}{1+x^2}$$, measured in kg/m$$^3$$. Determine and
evaluate a definite integral whose value is the mass of this cone of
non-uniform density. Do so by first thinking about the mass of a given
slice of the cone $$x$$ units away from the base; remember that in such a
slice, the density will be ''essentially constant''.
''c)'' Let a thin rod of constant cross-sectional area 1 cm$$^2$$ and length 12
cm have its mass be distributed according to the density function
$$\rho(x) = \frac{1}{25}(x-15)^2$$, measured in g/cm. Find the exact
location $$z$$ at which to cut the bar so that the two pieces will each
have identical mass.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For quantities of equal weight, such as two children on a teeter-totter, the balancing point is found by taking the average of their locations. When the weights of the quantities differ, we use a weighted average of their respective locations to find the balancing point.
''a)'' Suppose that a shelf is 6 feet long, with its left end situated at
$$x = 0$$. If one book of weight 1 lb is placed at $$x_1 = 0$$, and another
book of weight 1 lb is placed at $$x_2 = 6$$, what is the location of
$$\overline{x}$$, the point at which the shelf would (theoretically)
balance on a fulcrum?
''b)'' Now, say that we place four books on the shelf, each weighing 1 lb: at
$$x_1 = 0$$, at $$x_2 = 2$$, at $$x_3 = 4$$, and at $$x_4 = 6$$. Find
$$\overline{x}$$, the balancing point of the shelf.
''c)'' How does $$\overline{x}$$ change if we change the location of the third
book? Say the locations of the 1-lb books are $$x_1 = 0$$, $$x_2 = 2$$,
$$x_3 = 3$$, and $$x_4 = 6$$.
''d)'' Next, suppose that we place four books on the shelf, but of varying
weights: at $$x_1 = 0$$ a 2-lb book, at $$x_2 = 2$$ a 3-lb book, and
$$x_3 = 4$$ a 1-lb book, and at $$x_4 = 6$$ a 1-lb book. Use a weighted
average of the locations to find $$\overline{x}$$, the balancing point of
the shelf. How does the balancing point in this scenario compare to that
found in (b)?
''e)'' What happens if we change the location of one of the books? Say that we
keep everything the same in (d), except that $$x_3 = 5$$. How does
$$\overline{x}$$ change?
''f)'' What happens if we change the weight of one of the books? Say that we
keep everything the same in (d), except that the book at $$x_3 = 4$$ now
weighs 2 lbs. How does $$\overline{x}$$ change?
''g)'' Experiment with a couple of different scenarios of your choosing where
you move the location of one of the books to the left, or you decrease
the weight of one of the books.
''h)'' Write a couple of sentences to explain how adjusting the location of one
of the books or the weight of one of the books affects the location of
the balancing point of the shelf. Think carefully here about how your
changes should be considered relative to the location of the balancing
point $$\overline{x}$$ of the current scenario.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider a thin bar of length 20 cm whose density is distributed according to the function $$\rho(x) = 4 + 0.1x$$, where $$x = 0$$ represents the left end of the bar. Assume that $$\rho$$ is measured in g/cm and $$x$$ is measured in cm.
''a)'' Find the total mass, $$M$$, of the bar.
''b)'' Without doing any calculations, do you expect the center of mass of the
bar to be equal to 10, less than 10, or greater than 10? Why?
''c)'' Compute $$\overline{x}$$, the exact center of mass of the bar.
''d)'' What is the average density of the bar?
''e)'' Now consider a different density function, given by
$$p(x) = 4e^{0.020732x}$$, also for a bar of length 20 cm whose left end
is at $$x = 0$$. Plot both $$\rho(x)$$ and $$p(x)$$ on the same axes. Without
doing any calculations, which bar do you expect to have the greater
center of mass? Why?
''f)'' Compute the exact center of mass of the bar described in (e) whose
density function is $$p(x) = 4e^{0.020732x}$$. Check the result against
the prediction you made in (e).
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Let a thin rod of length $$a$$ have density distribution function
$$\rho(x) = 10e^{-0.1x}$$, where $$x$$ is measured in cm and $$\rho$$ in grams
per centimeter.
''a)''
If the mass of the rod is 30 g, what is the value of $$a$$?
''b)''
For the 30g rod, will the center of mass lie at its midpoint, to the
left of the midpoint, or to the right of the midpoint? Why?
''c)''
For the 30g rod, find the center of mass, and compare your prediction in
(b).
''d)''
At what value of $$x$$ should the 30g rod be cut in order to form two
pieces of equal mass?
''1.''
Consider two thin bars of constant cross-sectional area, each of length
10 cm, with respective mass density functions
$$\rho(x) = \frac{1}{1+x^2}$$ and $$p(x) = e^{-0.1x}$$.
''a)'' Find the mass of each bar.
''b)'' Find the center of mass of each bar.
''c)'' Now consider a new 10 cm bar whose mass density function is
$$f(x) = \rho(x) + p(x)$$.
''i.'' Explain how you can easily find the mass of this new bar with little to
no additional work.
''ii.'' Similarly, compute $$\int_0^{10} xf(x) \, dx$$ as simply as possible, in
light of earlier computations.
''iii.'' True or false: the center of mass of this new bar is the average of the
centers of mass of the two earlier bars. Write at least one sentence to
say why your conclusion makes sense.
''3.'' Consider the curve given by
$$y = f(x) = 2xe^{-1.25x} + (30-x) e^{-0.25(30-x)}$$.
''a)'' Plot this curve in the window $$x = 0 \ldots 30$$, $$y = 0 \ldots 3$$ (with
constrained scaling so the units on the $$x$$ and $$y$$ axis are equal), and
use it to generate a solid of revolution about the $$x$$-axis. Explain why
this curve could generate a reasonable model of a baseball bat.
''b)'' Let $$x$$ and $$y$$ be measured in inches. Find the total volume of the
baseball bat generated by revolving the given curve about the $$x$$-axis.
Include units on your answer
''c)'' Suppose that the baseball bat has constant weight density, and that the
weight density is 0.6 ounces per cubic inch. Find the total weight of
the bat whose volume you found in (b).
''d)'' Because the baseball bat does not have constant cross-sectional area, we
see that the amount of weight concentrated at a location $$x$$ along the
bat is determined by the volume of a slice at location $$x$$. Explain why
we can think about the function $$\rho(x) = 0.6 \pi f(x)^2$$ (where $$f$$ is
the function given at the start of the problem) as being the weight
density function for how the weight of the baseball bat is distributed
from $$x = 0$$ to $$x = 30$$.
''e)'' Compute the center of mass of the baseball bat.
How are mass, density, and volume related?
How is the mass of an object with varying density computed?
What is the center of mass of an object, and how are definite integrals
used to compute it?
We have seen in several different circumstances how studying the units
on the integrand and variable of integration enables us to better
understand the meaning of a definite integral. For instance, if $$v(t)$$
is the velocity of an object moving along an axis, measured in feet per
second, while $$t$$ measures time in seconds, then both the definite
integral and its Riemann sum approximation,
$$\int_a^b v(t) \, dt \approx \sum_{i=1}^n v(t_i) \triangle t,$$
have their overall units given by the product of the units of $$v(t)$$ and
$$t$$:
Thus, $$\int_a^b v(t) \, dt$$ measures the total change in position (in
feet) of the moving object.
This type of unit analysis will be particularly helpful to us in what
follows. To begin, in the following preview activity we consider two
different definite integrals where the integrand is a function that
measures how a particular quantity is distributed over a region and
think about how the units on the integrand and the variable of
integration indicate the meaning of the integral.
The ''mass'' of a quantity, typically measured in metric units such as
grams or kilograms, is a measure of the amount of a quantity. In a
corresponding way, the ''density'' of an object measures the distribution
of mass per unit volume. For instance, if a brick has mass 3 kg and
volume 0.002 m$$^3$$, then the density of the brick is
$$\frac{3 {kg}}{0.002 {m}^3} = 1500 \frac{{kg}}{{m}^3}.$$
As another example, the mass density of water is 1000 kg/m$$^3$$. Each of
these relationships demonstrate the following general principle.
<table>
For an object of constant density d, with mass m and volume V,
<br>
<br>
<center>
$$ d = \frac{m}{V}$$ or $$ m = d \cdot V $$
<br>
<br>
But what happens when the density is not constant?
If we consider the formula $$m = d \cdot V$$, it is reminiscent of two
other equations that we have used frequently in recent work: for a body
moving in a fixed direction, distance = rate $$\cdot$$ time, and, for a
rectangle, its area is given by $$A = l \cdot w$$. These formulas hold
when the principal quantities involved, such as the rate the body moves
and the height of the rectangle, are ''constant''. When these quantities
are not constant, we have turned to the definite integral for
assistance. The main idea in each situation is that by working with
small slices of the quantity that is varying, we can use a definite
integral to add up the values of small pieces on which the quantity of
interest (such as the velocity of a moving object) are approximately
constant.
For example, in the setting where we have a nonnegative velocity
function that is not constant, over a short time interval $$\triangle t$$
we know that the distance traveled is approximately $$v(t) \triangle t$$,
since $$v(t)$$ is almost constant on a small interval, and for a constant
rate, distance = rate $$\cdot$$ time. Similarly, if we are thinking about
the area under a nonnegative function $$f$$ whose value is changing, on a
short interval $$\triangle x$$ the area under the curve is approximately
the area of the rectangle whose height is $$f(x)$$ and whose width is
$$\triangle x$$: $$f(x) \triangle x$$. Both of these principles are
represented visually in <<figreference 6_3_VelArea.svg>>.
<<figure 6_3_VelArea.svg>>
In a similar way, if we consider the setting where the density of some
quantity is not constant, the definite integral enables us to still
compute the overall mass of the quantity. Throughout, we will focus on
problems where the density varies in only one dimension, say along a
single axis, and think about how mass is distributed relative to
location along the axis.
Let’s consider a thin bar of length $$b$$ that is situated so its left end
is at the origin, where $$x = 0$$, and assume that the bar has constant
cross-sectional area of 1 cm$$^2$$. We let the function $$\rho(x)$$
represent the mass density function of the bar, measured in grams per
cubic centimeter. That is, given a location $$x$$, $$\rho(x)$$ tells us
approximately how much mass will be found in a one-centimeter wide slice
of the bar at $$x$$.
If we now consider a thin slice of the bar of width $$\triangle x$$, as
pictured in <<figreference 6_3_Bar.svg>>, the volume of such a slice is the
cross-sectional area times $$\triangle x$$. Since the cross-sections each
have constant area 1 cm$$^2$$, it follows that the volume of the slice is
$$1 \triangle x$$ cm$$^3$$. Moreover, since mass is the product of density
and volume (when density is constant), we see that the mass of this
given slice is approximately
$${mass}_{{slice}} \approx \rho(x) \ \frac{{g}}{{cm}^3} \cdot 1 \triangle x \ {cm}^3 = \rho(x) \cdot \triangle x \ {g}.$$
Hence, for the corresponding Riemann sum (and thus for the integral that
it approximates),
$$\sum_{i=1}^n \rho(x_i) \triangle x \approx \int_0^b \rho(x) \, dx,$$
we see that these quantities measure the mass of the bar between $$0$$ and
$$b$$. (The Riemann sum is an approximation, while the integral will be
the exact mass.)
At this point, we note that we will be focused primarily on situations
where mass is distributed relative to horizontal location, $$x$$, for
objects whose cross-sectional area is constant. In that setting, it
makes sense to think of the density function $$\rho(x)$$ with units “mass
per unit length,” such as g/cm. Thus, when we compute
$$\rho(x) \cdot \triangle x$$ on a small slice $$\triangle x$$, the
resulting units are g/cm $$\cdot$$ cm = g, which thus measures the mass of
the slice. The general principle follows.
<table>
For an object of constant cross-sectional area whose mass is distributed
along a single axis according to the function $$\rho(x)$$ (whose units are
units of mass per unit of length), the total mass, $$M$$ of the object
between $$x = a$$ and $$x = b$$ is given by
<br>
<br>
<center>
$$M= \int_a^b \rho(x)dx.$$
<br>
<br>
The concept of an average is a natural one, and one that we have used
repeatedly as part of our understanding of the meaning of the definite
integral. If we have $$n$$ values $$a_1$$, $$a_2$$, $$\ldots$$, $$a_n$$, we know
that their average is given by
$$\frac{a_1 + a_2 + \cdots + a_n}{n},$$
and for a quantity being measured by a function $$f$$ on an interval
$$[a,b]$$, the average value of the quantity on $$[a,b]$$ is
$$\frac{1}{b-a} \int_a^b f(x) \, dx.$$
As we continue to think about problems involving the distribution of
mass, it is natural to consider the idea of a ''weighted'' average, where
certain quantities involved are counted more in the average.
A common use of weighted averages is in the computation of a student’s
GPA, where grades are weighted according to credit hours. Let’s consider
the scenario in Table [T:6.3.grades].
If all of the classes were of the same weight (i.e., the same number of
credits), the student’s GPA would simply be calculated by taking the
average
$$\frac{3.3 + 3.7 + 2.7 + 2.7}{4} = 3.1.$$
But since the chemistry and calculus courses have higher weights (of 5
and 4 credits respectively), we actually compute the GPA according to
the weighted average
$$\frac{3.3 \cdot 5 + 3.7 \cdot 4 + 2.7 \cdot 3 + 2.7 \cdot 3}{5 + 4 + 3 + 3} = 3.1\overline{6}.$$
The weighted average reflects the fact that chemistry and calculus, as
courses with higher credits, have a greater impact on the students’
grade point average. Note particularly that in the weighted average,
each grade gets multiplied by its weight, and we divide by the sum of
the weights.
In the following activity, we explore further how weighted averages can
be used to find the balancing point of a physical system.
In <<reference 6.3.Act2>>, we saw that the balancing point of a system of
point-masses <<footnote [1] " In the activity, we actually used ''weight'' rather than ''mass''.
Since weight is computed by the gravitational constant times mass,
the computations for the balancing point result in the same location
regardless of whether we use weight or mass, since the gravitational
constant is present in both the numerator and denominator of the
weighted average.
">> (such as books on a shelf) is found by taking a
weighted average of their respective locations. In the activity, we were
computing the ''center of mass'' of a system of masses distributed along
an axis, which is the balancing point of the axis on which the masses
rest.
<table>
For a collection of $$n$$ masses $$m_1$$, $$\ldots$$, $$m_n$$ that are
distributed along a single axis at the locations $$x_1$$, $$\ldots$$, $$x_n$$,
the ''center of mass'' is given by
<br>
<br>
<center>
$$\bar{x}= \frac{x_1m_1+x_2m_2+...x_nm_n}{m_1 + m_2 +...+ m_n} $$
<br>
<br>
What if we instead consider a thin bar over which density is distributed
continuously? If the density is constant, it is obvious that the
balancing point of the bar is its midpoint. But if density is not
constant, we must compute a weighted average. Let’s say that the
function $$\rho(x)$$ tells us the density distribution along the bar,
measured in g/cm. If we slice the bar into small sections, this enables
us to think of the bar as holding a collection of adjacent point-masses.
For a slice of thickness $$\triangle x$$ at location $$x_i$$, note that the
mass of the slice, $$m_i$$, satisfies $$m_i \approx \rho(x_i) \triangle x$$.
Taking $$n$$ slices of the bar, we can approximate its center of mass by
$$\overline{x} \approx \frac{x_1 \cdot \rho(x_1) \triangle x + x_2 \cdot \rho(x_2) \triangle x + \cdots + x_n \cdot \rho(x_n) \triangle x }{\rho(x_1) \triangle x + \rho(x_2) \triangle x + \cdots + \rho(x_n) \triangle x}.$$
Rewriting the sums in sigma notation, it follows that
$$\overline{x} \approx \frac{ \sum_{i=1}^{n} x_i \rho(x_i) \triangle x }{\sum_{i=1}^{n} \rho(x_i) \triangle x}.$$
Moreover, it is apparent that the greater the number of slices, the more
accurate our estimate of the balancing point will be, and that the sums
in ''Equation 6.4'' can be viewed as Riemann sums. Hence, in the
limit as $$n \to \infty$$, we find that the center of mass is given by the
quotient of two integrals.
<table>
For a thin rod of density $$\rho(x)$$ distributed along an axis from
$$x = a$$ to $$x = b$$, the center of mass of the rod is given by
<br>
<br>
<center>
$$\overline{x} \approx \frac{ \int_{a}^{b} x \rho(x) d x }{\int_{a}^{b} \rho(x) d x}.$$
<br>
<br>
Note particularly that the denominator of $$\overline{x}$$ is the mass of
the bar, and that this quotient of integrals is simply the continuous
version of the weighted average of locations, $$x$$, along the bar.
!!Summary
---
In this section, we encountered the following important ideas:
---
* For an object of constant density $$D$$, with volume $$V$$ and mass $$m$$, we know that $$m = D \cdot V.$$
* If an object with constant cross-sectional area (such as a thin bar) has its density distributed along an axis according to the function $$\rho(x)$$, then we can find the mass of the object between $$x = a$$ and $$x = b$$ by
$$m = \int_a^b \rho(x) \, dx.$$
* For a system of point-masses distributed along an axis, say $$m_1, \ldots, m_n$$ at locations $$x_1, \ldots, x_n$$, the center of mass, $$\overline{x}$$, is given by the weighted average
$$\overline{x} = \frac{\sum_{i=1}^n x_i m_i}{\sum_{i=1}^n m_i}.$$
If instead we have mass continuously distributed along an axis, such as
by a density function $$\rho(x)$$ for a thin bar of constant
cross-sectional area, the center of mass of the portion of the bar
between $$x = a$$ and $$x = b$$ is given by
$$\overline{x} = \frac{\int_a^b x \rho(x) \, dx}{\int_a^b \rho(x) \, dx}.$$
In each situation, $$\overline{x}$$ represents the balancing point of the
system of masses or of the portion of the bar.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
In each of the following scenarios, we consider the distribution of a quantity along an axis.
''a)'' Suppose that the function $$c(x) = 200 + 100 e^{-0.1x}$$ models the
density of traffic on a straight road, measured in cars per mile, where
$$x$$ is number of miles east of a major interchange, and consider the
definite integral $$\int_0^2 (200 + 100 e^{-0.1x}) \, dx$$.
''i.'' What are the units on the product $$c(x) \cdot \triangle x$$?
''ii.'' What are the units on the definite integral and its Riemann sum
approximation given by
$$\int_0^2 c(x) \, dx \approx \sum_{i=1}^n c(x_i) \triangle x?$$
''iii.'' Evaluate the definite integral
$$\int_0^2 c(x) \, dx = \int_0^2 (200 + 100 e^{-0.1x}) \, dx$$ and write
one sentence to explain the meaning of the value you find.
''b)'' On a 6 foot long shelf filled with books, the function $$B$$ models the
distribution of the weight of the books, measured in pounds per inch,
where $$x$$ is the number of inches from the left end of the bookshelf.
Let $$B(x)$$ be given by the rule $$B(x) = 0.5 + \frac{1}{(x+1)^2}$$.
''i.'' What are the units on the product $$B(x) \cdot \triangle x$$?
''ii.'' What are the units on the definite integral and its Riemann sum
approximation given by
$$\int_{12}^{36} B(x) \, dx \approx \sum_{i=1}^n B(x_i) \triangle x?$$
''iii.'' Evaluate the definite integral
$$\int_{0}^{72} B(x) \, dx = \int_0^{72} (0.5 + \frac{1}{(x+1)^2}) \, dx$$
and write one sentence to explain the meaning of the value you find.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the following situations in which a varying force accomplishes work.
''a)''
Suppose that a heavy rope hangs over the side of a cliff. The rope is
200 feet long and weighs 0.3 pounds per foot; initially the rope is
fully extended. How much work is required to haul in the entire length
of the rope? (Hint: set up a function $$F(h)$$ whose value is the weight
of the rope remaining over the cliff after $$h$$ feet have been hauled
in.)
''b)''
A leaky bucket is being hauled up from a 100 foot deep well. When lifted
from the water, the bucket and water together weigh 40 pounds. As the
bucket is being hauled upward at a constant rate, the bucket leaks water
at a constant rate so that it is losing weight at a rate of 0.1 pounds
per foot. What function $$B(h)$$ tells the weight of the bucket after the
bucket has been lifted $$h$$ feet? What is the total amount of work
accomplished in lifting the bucket to the top of the well?
''c)''
Now suppose that the bucket in (b) does not leak at a constant rate, but
rather that its weight at a height $$h$$ feet above the water is given by
$$B(h) = 25 + 15e^{-0.05h}$$. What is the total work required to lift the
bucket 100 feet? What is the average force exerted on the bucket on the
interval $$h = 0$$ to $$h = 100$$?
''d)''
From physics, ''Hooke’s Law'' for springs states that the amount of force
required to hold a spring that is compressed (or extended) to a
particular length is proportionate to the distance the spring is
compressed (or extended) from its natural length. That is, the force to
compress (or extend) a spring $$x$$ units from its natural length is
$$F(x) = kx$$ for some constant $$k$$ (which is called the ''spring
constant''.) For springs, we choose to measure the force in pounds and
the distance the spring is compressed in feet.
Suppose that a force of 5 pounds extends a particular spring 4 inches
(1/3 foot) beyond its natural length.
''i.'' Use the given fact that $$F(1/3) = 5$$ to find the spring constant $$k$$.
''ii.'' Find the work done to extend the spring from its natural length to 1
foot beyond its natural length.
''iii.'' Find the work required to extend the spring from 1 foot beyond its
natural length to 1.5 feet beyond its natural length.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In each of the following problems, determine the total work required to accomplish the described task. In parts (b) and (c), a key step is to find a formula for a function that describes the curve that forms the side boundary of the tank.
<<figure 6_4_Act2Trough.svg>>
''a)'' Consider a vertical cylindrical tank of radius 2 meters and depth 6
meters. Suppose the tank is filled with 4 meters of water of mass
density 1000 kg/m$$^3$$, and the top 1 meter of water is pumped over the
top of the tank.
''b)'' Consider a hemispherical tank with a radius of 10 feet. Suppose that the
tank is full to a depth of 7 feet with water of weight density 62.4
pounds/ft$$^3$$, and the top 5 feet of water are pumped out of the tank to
a tanker truck whose height is 5 feet above the top of the tank.
''c)'' Consider a trough with triangular ends, as pictured in
Figure [F:6.4.Act2Trough], where the tank is 10 feet long, the top is 5
feet wide, and the tank is 4 feet deep. Say that the trough is full to
within 1 foot of the top with water of weight density 62.4
pounds/ft$$^3$$, and a pump is used to empty the tank until the water
remaining in the tank is 1 foot deep.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
<<figure 6_4_Act2Trough2.svg>>
''a)'' Consider a rectangular dam that is 100 feet wide and 50 feet tall, and
suppose that water presses against the dam all the way to the top.
''b)'' Consider a semicircular dam with a radius of 30 feet. Suppose that the
water rises to within 10 feet of the top of the dam.
''c)'' Consider a trough with triangular ends, as pictured in
Figure [F:6.4.Act3Trough], where the tank is 10 feet long, the top is 5
feet wide, and the tank is 4 feet deep. Say that the trough is full to
within 1 foot of the top with water of weight density 62.4
pounds/ft$$^3$$. How much force does the water exert against one of the
triangular ends?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A bucket is being lifted from the bottom of a 50-foot deep well; its weight (including the water), $$B$$, in pounds at a height $$h$$ feet above the water is given by the function $$B(h)$$. When the bucket leaves the water, the bucket and water together weigh $$B(0) = 20$$ pounds, and when the bucket reaches the top of the well, $$B(50) = 12$$ pounds. Assume that the bucket loses water at a constant rate (as a function of height, $$h$$) throughout its journey from the bottom to the top of the well.
''a)'' Find a formula for $$B(h)$$.
''b)'' Compute the value of the product $$B(5) \triangle h$$, where
$$\triangle h = 2$$ feet. Include units on your answer. Explain why this
product represents the approximate work it took to move the bucket of
water from $$h = 5$$ to $$h = 7$$.
''c)'' Is the value in (b) an over- or under-estimate of the actual amount of
work it took to move the bucket from $$h = 5$$ to $$h = 7$$? Why?
''d)'' Compute the value of the product $$B(22) \triangle h$$, where
$$\triangle h = 0.25$$ feet. Include units on your answer. What is the
meaning of the value you found?
''e)'' More generally, what does the quantity
$$W_{{\small{slice}}} = B(h) \triangle h$$ measure for a given value
of $$h$$ and a small positive value of $$\triangle h$$?
''f)'' Evaluate the definite integral $$\int_0^{50} B(h) \, dh$$. What is the
meaning of the value you find? Why?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Consider the curve $$f(x) = 3 \cos(\frac{x^3}{4})$$ and the portion of its
graph that lies in the first quadrant between the $$y$$-axis and the first
positive value of $$x$$ for which $$f(x) = 0$$. Let $$R$$ denote the region
bounded by this portion of $$f$$, the $$x$$-axis, and the $$y$$-axis. Assume
that $$x$$ and $$y$$ are each measured in feet.
''a)'' Picture the coordinate axes rotated 90 degrees clockwise so that the
positive $$x$$-axis points straight down, and the positive $$y$$-axis points
to the right. Suppose that $$R$$ is rotated about the $$x$$ axis to form a
solid of revolution, and we consider this solid as a storage tank.
Suppose that the resulting tank is filled to a depth of 1.5 feet with
water weighing 62.4 pounds per cubic foot. Find the amount of work
required to lower the water in the tank until it is 0.5 feet deep, by
pumping the water to the top of the tank.
''b)'' Again picture the coordinate axes rotated 90 degrees clockwise so that
the positive $$x$$-axis points straight down, and the positive $$y$$-axis
points to the right. Suppose that $$R$$, together with its reflection
across the $$x$$-axis, forms one end of a storage tank that is 10 feet
long. Suppose that the resulting tank is filled completely with water
weighing 62.4 pounds per cubic foot. Find a formula for a function that
tells the amount of work required to lower the water by $$h$$ feet.
''c)'' Suppose that the tank described in (b) is completely filled with water.
Find the total force due to hydrostatic pressure exerted by the water on
one end of the tank.
''2.'' A cylindrical tank, buried on its side, has radius 3 feet and length 10
feet. It is filled completely with water whose weight density is 62.4
lbs/ft$$^3$$, and the top of the tank is two feet underground.
''a)'' Set up, but do not evaluate, an integral expression that represents the
amount of work required to empty the top half of the water in the tank
to a truck whose tank lies 4.5 feet above ground.
''b)'' With the tank now only half-full, set up, but do not evaluate an
integral expression that represents the total force due to hydrostatic
pressure against one end of the tank.
How do we measure the work accomplished by a varying force that moves an
object a certain distance?
What is the total force exerted by water against a dam?
How are both of the above concepts and their corresponding use of
definite integrals similar to problems we have encountered in the past
involving formulas such as “distance equals rate times time” and “mass
equals density times volume”?
In our work to date with the definite integral, we have seen several
different circumstances where the integral enables us to measure the
accumulation of a quantity that varies, provided the quantity is
approximately constant over small intervals. For instance, based on the
fact that the area of a rectangle is $$A = l \cdot w$$, if we wish to find
the area bounded by a nonnegative curve $$y = f(x)$$ and the $$x$$-axis on
an interval $$[a,b]$$, a representative slice of width $$\triangle x$$ has
area $$A_{{\small{slice}}} = f(x) \triangle x$$, and thus as we let
the width of the representative slice tend to zero, we find that the
exact area of the region is
$$A = \int_a^b f(x) \, dx.$$
In a similar way, if we know that the velocity of a moving object is
given by the function $$y = v(t)$$, and we wish to know the distance the
object travels on an interval $$[a,b]$$ where $$v(t)$$ is nonnegative, we
can use a definite integral to generalize the fact that $$d = r \cdot t$$
when the rate, $$r$$, is constant. More specifically, on a short time
interval $$\triangle t$$, $$v(t)$$ is roughly constant, and hence for a
small slice of time, $$d_{{\small{slice}}} = v(t) \triangle t$$, and
so as the width of the time interval $$\triangle t$$ tends to zero, the
exact distance traveled is given by the definite integral
$$d = \int_a^b v(t) \, dt.$$
Finally, when we recently learned about the mass of an object of
non-constant density, we saw that since $$M = D \cdot V$$ (mass equals
density times volume, provided that density is constant), if we can
consider a small slice of an object on which the density is
approximately constant, a definite integral may be used to determine the
exact mass of the object. For instance, if we have a thin rod whose
cross sections have constant density, but whose density is distributed
along the $$x$$ axis according to the function $$y = \rho(x)$$, it follows
that for a small slice of the rod that is $$\triangle x$$ thick,
$$M_{{\small{slice}}} = \rho(x) \triangle x$$. In the limit as
$$\triangle x \to 0$$, we then find that the total mass is given by
$$M = \int_a^b \rho(x) \, dx.$$
Note that all three of these situations are similar in that we have a
basic rule ($$A = l \cdot w$$, $$d = r \cdot t$$, $$M = D \cdot V$$) where one
of the two quantities being multiplied is no longer constant; in each,
we consider a small interval for the other variable in the formula,
calculate the approximate value of the desired quantity (area, distance,
or mass) over the small interval, and then use a definite integral to
sum the results as the length of the small intervals is allowed to
approach zero. It should be apparent that this approach will work
effectively for other situations where we have a quantity of interest
that varies.
We next turn to the notion of ''work'': from physics, a basic principal is
that work is the product of force and distance. For example, if a person
exerts a force of 20 pounds to lift a 20-pound weight 4 feet off the
ground, the total work accomplished is
$$W = F \cdot d = 20 \cdot 4 = 80 \ {foot-pounds}.$$
If force and distance are measured in English units (pounds and feet),
then the units on work are ''foot-pounds''. If instead we work in metric
units, where forces are measured in Newtons and distances in meters, the
units on work are ''Newton-meters''.
Of course, the formula $$W = F \cdot d$$ only applies when the force is
constant while it is exerted over the distance $$d$$. In <<reference 6.4.PA1>>, we explore one way that we can use a definite
integral to compute the total work accomplished when the force exerted
varies.
Because work is calculated by the rule $$W = F \cdot d$$, whenever the
force $$F$$ is constant, it follows that we can use a definite integral to
compute the work accomplished by a varying force. For example, suppose
that in a setting similar to the problem posed in <<reference 6.4.PA1>>, we have a bucket being lifted in a 50-foot well whose
weight at height $$h$$ is given by $$B(h) = 12 + 8e^{-0.1h}$$.
In contrast to the problem in the preview activity, this bucket is not
leaking at a constant rate; but because the weight of the bucket and
water is not constant, we have to use a definite integral to determine
the total work that results from lifting the bucket. Observe that at a
height $$h$$ above the water, the approximate work to move the bucket a
small distance $$\triangle h$$ is
$$W_{{\small{slice}}} = B(h) \triangle h = (12 + 8e^{-0.1h}) \triangle h.$$
Hence, if we let $$\triangle h$$ tend to 0 and take the sum of all of the
slices of work accomplished on these small intervals, it follows that
the total work is given by
$$W = \int_0^{50} B(h) \, dh = \int_0^{50} (12 + 8e^{-0.1h}) \, dh.$$
While is a straightforward exercise to evaluate this integral exactly
using the First Fundamental Theorem of Calculus, in applied settings
such as this one we will typically use computing technology to find
accurate approximations of integrals that are of interest to us. Here,
it turns out that
$$W = \int_0^{50} (12 + 8e^{-0.1h}) \, dh \approx 679.461$$ foot-pounds.
Our work in <<reference 6.4.PA1>> and in the most recent example
above employs the following important general principle.
<table>
For an object being moved in the positive direction along an axis, $$x$$,
by a force $$F(x)$$, the total work to move the object from $$a$$ to $$b$$ is
given by
<br>
<br>
<center>
$$W= \int_a^bF(x)dx$$
<br>
<br>
!!Work: Pumping Liquid from a Tank
In certain geographic locations where the water table is high,
residential homes with basements have a peculiar feature: in the
basement, one finds a large hole in the floor, and in the hole, there is
water. For example, in Figure [F:6.4.SumpCrock]
<<figure 6_4_SumpCrock.svg>>
where we see a ''sump crock'' <<footnote [2] "Image credit to
http://www.warreninspect.com/basement-moisture.
">>. Essentially, a sump crock provides an
outlet for water that may build up beneath the basement floor; of
course, as that water rises, it is imperative that the water not flood
the basement. Hence, in the crock we see the presence of a floating pump
that sits on the surface of the water: this pump is activated by
elevation, so when the water level reaches a particular height, the pump
turns on and pumps a certain portion of the water out of the crock,
hence relieving the water buildup beneath the foundation. One of the
questions we’d like to answer is: how much work does a sump pump
accomplish?
To that end, let’s suppose that we have a sump crock that has the shape
of a frustum of a cone, as pictured in <<figreference 6_4_Crock.svg>>. Assume that
the crock has a diameter of 3 feet at its surface, a diameter of 1.5
feet at its base, and a depth of 4 feet. In addition, suppose that the
sump pump is set up so that it pumps the water vertically up a pipe to a
drain that is located at ground level just outside a basement window. To
accomplish this, the pump must send the water to a location 9 feet above
the surface of the sump crock.
It turns out to be advantageous to think of the depth below the surface
of the crock as being the independent variable, so, in problems such as
this one we typically let the positive $$x$$-axis point down, and the
positive $$x$$-axis to the right, as pictured in the figure. As we think
about the work that the pump does, we first realize that the pump sits
on the surface of the water, so it makes sense to think about the pump
moving the water one “slice” at a time, where it takes a thin slice from
the surface, pumps it out of the tank, and then proceeds to pump the
next slice below.
For the sump crock described in this example, each slice of water is
cylindrical in shape. We see that the radius of each approximately
cylindrical slice varies according to the linear function $$y = f(x)$$
that passes through the points $$(0,1.5)$$ and $$(4,0.75)$$, where $$x$$ is
the depth of the particular slice in the tank; it is a straightforward
exercise to find that $$f(x) = 1.5 - 0.375x$$. Now we are prepared to
think about the overall problem in several steps: (a) determining the
volume of a typical slice; (b) finding the weight <<footnote [3] "We assume that the weight density of water is 62.4 pounds per
cubic foot.">> of a typical slice
(and thus the force that must be exerted on it); (c) deciding the
distance that a typical slice moves; and (d) computing the work to move
a representative slice. Once we know the work it takes to move one
slice, we use a definite integral over an appropriate interval to find
the total work.
Consider a representative cylindrical slice that sits on the surface of
the water at a depth of $$x$$ feet below the top of the crock. It follows
that the approximate volume of that slice is given by
$$V_{{\small{slice}}} = \pi f(x)^2 \triangle x = \pi (1.5 - 0.375x)^2 \triangle x.$$
Since water weighs 62.4 lb/ft$$^3$$, it follows that the approximate
weight of a representative slice, which is also the approximate force
the pump must exert to move the slice, is
$$F_{{\small{slice}}} = 62.4 \cdot V_{{\small{slice}}} = 62.4 \pi (1.5 - 0.375x)^2 \triangle x.$$
Because the slice is located at a depth of $$x$$ feet below the top of the
crock, the slice being moved by the pump must move $$x$$ feet to get to
the level of the basement floor, and then, as stated in the problem
description, be moved another 9 feet to reach the drain at ground level
outside a basement window. Hence, the total distance a representative
slice travels is
$$d_{{\small{slice}}} = x + 9.$$
Finally, we note that the work to move a representative slice is given
by
$$W_{{\small{slice}}} = F_{{\small{slice}}} \cdot d_{{\small{slice}}} = 62.4 \pi (1.5 - 0.375x)^2 \triangle x \cdot (x+9),$$
since the force to move a particular slice is constant.
We sum the work required to move slices throughout the tank (from
$$x = 0$$ to $$x = 4$$), let $$\triangle x \to 0$$, and hence
$$W = \int_0^4 62.4 \pi (1.5 - 0.375x)^2 (x+9) \, dx,$$
which, when evaluated using appropriate technology, shows that the total
work is $$W = 1872\pi$$ foot-pounds.
The preceding example demonstrates the standard approach to finding the
work required to empty a tank filled with liquid. The main task in each
such problem is to determine the volume of a representative slice,
followed by the force exerted on the slice, as well as the distance such
a slice moves. In the case where the units are metric, there is one key
difference: in the metric setting, rather than weight, we normally first
find the mass of a slice. For instance, if distance is measured in
meters, the mass density of water is 1000 kg/m$$^3$$. In that setting, we
can find the mass of a typical slice (in kg). To determine the force
required to move it, we use $$F = ma$$, where $$m$$ is the object’s mass and
$$a$$ is the gravitational constant $$9.81$$ N/kg$$^3$$. That is, in metric
units, the weight density of water is 9810 N/m$$^3$$.
!!Force due to Hydrostatic Pressure
When a dam is built, it is imperative to for engineers to understand how
much force water will exert against the face of the dam. The first thing
we realize is the the force exerted by the fluid is related to the
natural concept of pressure. The pressure a force exerts on a region is
measured in units of force per unit of area: for example, the air
pressure in a tire is often measured in pounds per square inch (PSI).
Hence, we see that the general relationship is given by
$$P = \frac{F}{A}, \ {or} \ F = P \cdot A,$$
where $$P$$ represents pressure, $$F$$ represents force, and $$A$$ the area of
the region being considered. Of course, in the equation $$F = PA$$, we
assume that the pressure is constant over the entire region $$A$$.
Most people know from experience that the deeper one dives underwater
while swimming, the greater the pressure that is exerted by the water.
This is due to the fact that the deeper one dives, the more water there
is right on top of the swimmer: it is the force that “column” of water
exerts that determines the pressure the swimmer experiences. To get
water pressure measured in its standard units (pounds per square foot),
we say that the total water pressure is found by computing the total
weight of the column of water that lies above a region of area 1 square
foot at a fixed depth. Such a rectangular column with a $$1 \times 1$$
base and a depth of $$d$$ feet has volume $$V = 1 \cdot 1 \cdot d$$ ft$$^3$$,
and thus the corresponding weight of the water overhead is $$62.4d$$.
Since this is also the amount of force being exerted on a 1 square foot
region at a depth $$d$$ feet underwater, we see that $$P = 62.4 d$$
(lbs/ft$$^2$$) is the pressure exerted by water at depth $$d$$.
The understanding that $$P = 62.4d$$ will tell us the pressure exerted by
water at a depth of $$d$$, along with the fact that $$F = PA$$, will now
enable us to compute the total force that water exerts on a dam, as we
see in the following example.
''Example 6.5.'' Consider a trapezoid-shaped dam that is 60 feet wide at its base and 90
feet wide at its top, and assume the dam is 25 feet tall with water that
rises to within 5 feet of the top of its face. Water weighs 62.5 pounds
per cubic foot. How much force does the water exert against the dam?
''Solution.'' First, we sketch a picture of the dam, as shown in <<figreference 6_4_DamEx.svg>>.
Note that, as in problems involving the work to pump out a tank, we let
the positive $$x$$-axis point down.
It is essential to use the fact that pressure is constant at a fixed
depth. Hence, we consider a slice of water at constant depth on the
face, such as the one shown in the figure. First, the approximate area
of this slice is the area of the pictured rectangle. Since the width of
that rectangle depends on the variable $$x$$ (which represents the how far
the slice lies from the top of the dam), we find a formula for the
function $$y = f(x)$$ that determines one side of the face of the dam.
Since $$f$$ is linear, it is straightforward to find that
$$y = f(x) = 45 - \frac{3}{5}x$$. Hence, the approximate area of a
representative slice is
$$A_{{\small{slice}}} = 2 f(x) \triangle x = 2 (45 - \frac{3}{5}x) \triangle x.$$
At any point on this slice, the depth is approximately constant, and
thus the pressure can be considered constant. In particular, we note
that since $$x$$ measures the distance to the top of the dam, and because
the water rises to within 5 feet of the top of the dam, the depth of any
point on the representative slice is approximately $$(x-5)$$. Now, since
pressure is given by $$P = 62.4d$$, we have that at any point on the
representative slice
$$P_{{\small{slice}}} = 62.4(x-5).$$
Knowing both the pressure and area, we can find the force the water
exerts on the slice. Using $$F = PA$$, it follows that
$$F_{{\small{slice}}} = P_{{\small{slice}}} \cdot A_{{\small{slice}}} = 62.4(x-5) \cdot 2 (45 - \frac{3}{5}x) \triangle x.$$
Finally, we use a definite integral to sum the forces over the
appropriate range of $$x$$-values. Since the water rises to within 5 feet
of the top of the dam, we start at $$x = 5$$ and slice all the way to the
bottom of the dam, where $$x = 30$$. Hence,
$$F = \int_{x=5}^{x=30} 62.4(x-5) \cdot 2 (45 - \frac{3}{5}x) \, dx.$$
Using technology to evaluate the integral, we find
$$F \approx 1.248 \times 10^6$$ pounds.
While there are many different formulas that we use in solving problems
involving work, force, and pressure, it is important to understand that
the fundamental ideas behind these problems are similar to several
others that we’ve encountered in applications of the definite integral.
In particular, the basic idea is to take a difficult problem and somehow
slice it into more manageable pieces that we understand, and then use a
definite integral to add up these simpler pieces.
!!Summary
---
In this section, we encountered the following important ideas:
---
* To measure the work accomplished by a varying force that moves an object, we subdivide the problem into pieces on which we can use the formula $$W = F \cdot d$$, and then use a definite integral to sum the work accomplished on each piece.
* To find the total force exerted by water against a dam, we use the formula $$F = P \cdot A$$ to measure the force exerted on a slice that lies at a fixed depth, and then use a definite integral to sum the forces across the appropriate range of depths.
* Because work is computed as the product of force and distance (provided force is constant), and the force water exerts on a dam can be computed as the product of pressure and area (provided pressure is constant), problems involving these concepts are similar to earlier problems we did using definite integrals to find distance (via “distance equals rate times time”) and mass (“mass equals density times volume”).
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In this activity we explore the improper integrals $$\int_1^{\infty} \frac{1}{x} \, dx$$ and $$ \int_1^{\infty} \frac{1}{x^{3/2}} \, dx$$.
''a)'' First we investigate $$ \int_1^{\infty} \frac{1}{x} \, dx$$.
''i.'' Use the First FTC to determine the exact values of
$$ \int_1^{10} \frac{1}{x} \, dx$$, $$ \int_1^{1000} \frac{1}{x} \, dx$$,
and $$ \int_1^{100000} \frac{1}{x} \, dx$$. Then, use your calculator to
compute a decimal approximation of each result.
''ii.'' Use the First FTC to evaluate the definite integral
$$ \int_1^{b} \frac{1}{x} \, dx$$ (which results in an expression that
depends on $$b$$).
''iii.'' Now, use your work from (ii.) to evaluate the limit given by
$$\lim_{b \to \infty} \int_1^{b} \frac{1}{x} \, dx.$$
''b)'' Next, we investigate $$ \int_1^{\infty} \frac{1}{x^{3/2}} \, dx$$.
''i.'' Use the First FTC to determine the exact values of
$$ \int_1^{10} \frac{1}{x^{3/2}} \, dx$$,
$$ \int_1^{1000} \frac{1}{x^{3/2}} \, dx$$, and
$$ \int_1^{100000} \frac{1}{x^{3/2}} \, dx$$. Then, use your calculator to
compute a decimal approximation of each result.
''ii.'' Use the First FTC to evaluate the definite integral
$$ \int_1^{b} \frac{1}{x^{3/2}} \, dx$$ (which results in an expression
that depends on $$b$$).
''iii.'' Now, use your work from (ii.) to evaluate the limit given by
$$\lim_{b \to \infty} \int_1^{b} \frac{1}{x^{3/2}} \, dx.$$
''c)'' Plot the functions $$y = \frac{1}{x}$$ and $$y = \frac{1}{x^{3/2}}$$ on the
same coordinate axes for the values $$x = 0 \ldots 10$$. How would you
compare their behavior as $$x$$ increases without bound? What is similar?
What is different?
''d)'' How would you characterize the value of
$$ \int_1^{\infty} \frac{1}{x} \, dx$$? of
$$ \int_1^{\infty} \frac{1}{x^{3/2}} \, dx$$? What does this tell us about
the respective areas bounded by these two curves for $$x \ge 1$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine whether each of the following improper integrals converges or diverges. For each integral that converges, find its exact value.
''a)''
$$\int_1^{\infty} \frac{1}{x^2} \, dx$$
''b)''
$$\int_0^{\infty} e^{-x/4} \, dx$$
''c)''
$$\int_2^{\infty} \frac{9}{(x+5)^{2/3}} \, dx$$
''d)''
$$\int_4^{\infty} \frac{3}{(x+2)^{5/4}} \, dx$$
''e)''
$$\int_0^{\infty} x e^{-x/4} \, dx$$
''f)''
$$\int_1^{\infty} \frac{1}{x^p} \, dx$$, where $$p$$ is a positive real
number
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For each of the following definite integrals, decide whether the integral is improper or not. If the integral is proper, evaluate it using the First FTC. If the integral is improper, determine whether or not the integral converges or diverges; if the integral converges, find its exact value.
''a)''
$$\int_0^1 \frac{1}{x^{1/3}} \, dx$$
''b)''
$$\int_0^2 e^{-x} \, dx$$
''c)''
$$\int_1^4 \frac{1}{\sqrt{4-x}} \, dx$$
''d)''
$$\int_{-2}^2 \frac{1}{x^2} \, dx$$
''e)''
$$\int_0^{\pi/2} \tan(x) \, dx$$
''f)''
$$\int_0^1 \frac{1}{\sqrt{1-x^2}} \, dx$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Determine, with justification, whether each of the following improper
integrals converges or diverges.
''a)''
$$\int_e^{\infty} \frac{\ln(x)}{x} \, dx$$
''b)''
$$\int_e^{\infty} \frac{1}{x\ln(x)} \, dx$$
''c)''
$$\int_e^{\infty} \frac{1}{x(\ln(x))^2} \, dx$$
''d)''
$$\int_e^{\infty} \frac{1}{x(\ln(x))^p} \, dx$$, where $$p$$ is a
positive real number
''e)''
$$\int_0^1 \frac{\ln(x)}{x} \, dx$$
''f)''
$$\int_0^1 \ln(x) \, dx$$
''2.'' Sometimes we may encounter an improper integral for which we cannot
easily evaluate the limit of the corresponding proper integrals. For
instance, consider $$\int_1^{\infty} \frac{1}{1+x^3} \, dx$$. While it is
hard (or perhaps impossible) to find an antiderivative for
$$\frac{1}{1+x^3}$$, we can still determine whether or not the improper
integral converges or diverges by comparison to a simpler one. Observe
that for all $$x > 0$$, $$1 + x^3 > x^3$$, and therefore
$$\frac{1}{1+x^3} < \frac{1}{x^3}.$$
It therefore follows that
$$\int_1^b \frac{1}{1+x^3} \, dx < \int_1^b \frac{1}{x^3} \, dx$$
for every $$b > 1$$. If we let $$b \to \infty$$ so as to consider the two
improper integrals $$\int_1^\infty \frac{1}{1+x^3} \, dx$$ and
$$\int_1^\infty \frac{1}{x^3} \, dx$$, we know that the larger of the two
improper integrals converges. And thus, since the smaller one lies below
a convergent integral, it follows that the smaller one must converge,
too. In particular, $$\int_1^\infty \frac{1}{1+x^3} \, dx$$ must converge,
even though we never explicitly evaluated the corresponding limit of
proper integrals. We use this idea and similar ones in the exercises
that follow.
''a)'' Explain why $$x^2 + x + 1 > x^2$$ for all $$x \ge 1$$, and hence show that
$$\int_1^{\infty} \frac{1}{x^2 + x + 1} \, dx$$ converges by comparison to
$$\int_1^{\infty} \frac{1}{x^2} \, dx$$.
''b)'' Observe that for each $$x > 1$$, $$\ln(x) < x$$. Explain why
$$\int_2^b \frac{1}{x} \, dx < \int_2^b \frac{1}{\ln(x)} \,dx$$
for each $$b > 2$$. Why must it be true that
$$\int_2^b \frac{1}{\ln(x)} \, dx$$ diverges?
''c)'' Explain why $$\sqrt{\frac{x^4+1}{x^4}} > 1$$ for all $$x > 1$$. Then,
determine whether or not the improper integral
$$\int_1^{\infty} \frac{1}{x} \cdot \sqrt{\frac{x^4+1}{x^4}} \, dx$$
What are improper integrals and why are they important?
What does it mean to say that an improper integral converges or
diverges?
What are some typical improper integrals that we can classify as
convergent or divergent?
Another important application of the definite integral regards how the likelihood of certain events can be measured. For
example, consider a company that manufactures incandescent light bulbs,
and suppose that based on a large volume of test results, they have
determined that the fraction of light bulbs that fail between times
$$t = a$$ and $$t = b$$ of use (where $$t$$ is measured in months) is given by
$$\int_a^b 0.3 e^{-0.3t} \, dt.$$
For example, the fraction of light bulbs that fail during their third
month of use is given by
<center>
<table class="equationtable">
<tr><td> $$\int_2^3 0.3e^{-0.3t} dt $$
</td><td>= $$e^{-0.3t} |_2^3 $$ </td></tr>
<tr><td></td><td>= $$-e^{-0.9} + e^{-0.6} $$
</td></tr>
<tr><td></td><td> $$ \approx 0.1422 $$
</td></tr>
Thus about 14.22% of all lightbulbs fail between $$t = 2$$ and $$t = 3$$.
Clearly we could adjust the limits of integration to measure the
fraction of light bulbs that fail during any time period of interest.
!!Improper Integrals Involving Unbounded Intervals
In light of our example with light bulbs that fail, as well as with the
problem involving customer wait time in <<reference 6.5.PA1>>, we
see that it is natural to consider questions where we desire to
integrate over an interval whose upper limit grows without bound. For
example, if we are interested in the fraction of light bulbs that fail
within the first $$b$$ months of use, we know that the expression
$$\int_0^b 0.3e^{-0.3t} \, dt$$
measures this value. To think about the fraction of light bulbs that
fail ''eventually'', we understand that we wish to find
$$\lim_{b \to \infty} \int_0^b 0.3e^{-0.3t} \, dt,$$
for which we will also use the notation
$$\int _0^{\infty} {0.3e} ^{-0.3t} dt.
Note particularly that we are studying the area of an unbounded region,
as pictured in <<figreference 6_5_InfReg.svg>>.
<<figure 6_5_InfReg.svg>>
Anytime we are interested in an integral for which the interval of
integration is unbounded (that is, one for which at least one of the
limits of integration involves $$\infty$$), we say that the integral is
''improper''. For instance, the integrals
$$\int_1^{\infty} \frac{1}{x^2} \, dx, \ \ \int_{-\infty}^0 \frac{1}{1+x^2} \, dx, \ \ {and} \int_{-\infty}^{\infty} e^{-x^2} \, dx$$
are all improper due to having limits of integration that involve
$$\infty$$. We investigate the value of any such integral be replacing the
improper integral with a limit of proper integrals; for an improper
integral such as $$\int_0^\infty f(x) \, dx$$, we write
$$\int_0^\infty f(x) \, dx = \lim_{b \to \infty} \int_0^b f(x) \,dx.$$
We can then attempt to evaluate $$\int_0^b f(x) \,dx$$ using the First
FTC, after which we can evaluate the limit. An immediate and important
question arises: is it even possible for the area of such an unbounded
region to be finite? The following activity explores this issue and
others in more detail.
!!Convergence and Divergence
Our work so far has suggested that when we consider a nonnegative
function $$f$$ on an interval $$[1,\infty]$$, such as $$f(x) = \frac{1}{x}$$
or $$f(x) = \frac{1}{x^{3/2}}$$, there are at least two possibilities for
the value of $$\lim_{b \to \infty} \int_1^b f(x) \, dx$$: the limit is
finite or infinite. With these possibilities in mind, we introduce the
following terminology.
<<table>
If $$f(x)$$ is nonnegative for $$x \ge a$$, then we say that the improper
integral $$\int_a^{\infty} f(x) \, dx$$ ''converges'' provided that
<br>
<br>
<center>
$$\lim_{b \to \infty} \int_a^{b} f(x) \, dx$$
<br>
<br>
</center>
exists and is finite. Otherwise, we say that $$\int_a^{\infty} f(x) \, dx$$ ''diverges''
We normally restrict our interest to improper integrals for which the
integrand is nonnegative. Further, we note that our primary interest is
in functions $$f$$ for which $$\lim_{x \to \infty} f(x) = 0$$, for if the
function $$f$$ does not approach $$0$$ as $$x \to \infty$$, then it is
impossible for $$\int_a^{\infty} f(x) \, dx$$ to converge.
!!Improper Integrals Involving Unbounded Integrands
It is also possible for an integral to be improper due to the integrand
being unbounded on the interval of integration. For example, if we
consider
$$\int_0^1 \frac{1}{\sqrt{x}} \, dx,$$
we see that because $$f(x) = \frac{1}{\sqrt{x}}$$ has a vertical asymptote
at $$x = 0$$, $$f$$ is not continuous on $$[0,1]$$, and the integral is
attempting to represent the area of the unbounded region shown at right
in <<figreference 6_5_InfIntegrand.svg>>.
<<figure 6_5_InfIntegrand.svg>>
Just as we did with improper integrals involving infinite limits, we
address the problem of the integrand being unbounded by replacing such
an improper integral with a limit of proper integrals. For example, to
evaluate $$\int_0^1 \frac{1}{\sqrt{x}} \, dx$$, we replace $$0$$ with $$a$$
and let $$a$$ approach 0 from the right. Thus,
$$\int_0^1 \frac{1}{\sqrt{x}} \, dx = \lim_{a \to 0^+} \int_a^1 \frac{1}{\sqrt{x}} \, dx,$$
and then we evaluate the proper integral
$$\int_a^1 \frac{1}{\sqrt{x}} \, dx$$, followed by taking the limit. In
the same way as with improper integrals involving unbounded regions, we
will say that the improper integral converges provided that this limit
exists, and diverges otherwise. In the present example, we observe that
<center>
<table class="equationtable">
<tr><td> $$\int_0^1 \frac{1}{\sqrt x}dx $$
</td><td>= $$\lim_{a \to 0^{+} } \int_a^1 \frac{1}{\sqrt x}dx $$ </td></tr>
<tr><td></td><td>= $$\lim_{a \to 0^{+} } 2\sqrt{x}|_a^1 $$
</td></tr>
<tr><td></td><td>= $$\lim_{a \to 0^{+} } 2\sqrt{1} - 2\sqrt{a}$$
</td></tr>
<tr><td></td><td>= $$2 $$
</td></tr>
and therefore the improper integral $$\int_0^1 \frac{1}{\sqrt{x}} \, dx$$
converges (to the value 2).
We have to be particularly careful with unbounded integrands, for they
may arise in ways that may not initially be obvious. Consider, for
instance, the integral
$$\int_1^3 \frac{1}{(x-2)^2} \, dx.$$
At first glance we might think that we can simply apply the Fundamental
Theorem of Calculus by antidifferentiating $$\frac{1}{(x-2)^2}$$ to get
$$-\frac{1}{x-2}$$ and then evaluate from $$1$$ to $$3$$. Were we to do so, we
would be erroneously applying the FTC because $$f(x) = \frac{1}{(x-2)^2}$$
fails to be continuous throughout the interval, as seen in
<<figreference 6_5_InfIntegrand2.svg>>.
<<figure 6_5_InfIntegrand2.svg>>
Such an incorrect application of the FTC leads to an impossible result
($$-2$$), which would itself suggest that something we did must be wrong.
Indeed, we must address the vertical asymptote in
$$f(x) = \frac{1}{(x-2)^2}$$ at $$x = 2$$ by writing
$$\int_1^3 \frac{1}{(x-2)^2} \, dx = \lim_{a \to 2^-} \int_1^a \frac{1}{(x-2)^2} \, dx + \lim_{b \to 2^+} \int_b^3 \frac{1}{(x-2)^2} \, dx$$
and then evaluate two separate limits of proper integrals. For instance,
doing so for the integral with $$a$$ approaching $$2$$ from the left, we
find
<center>
<table class="equationtable">
<tr><td> $$\int_1^2 \frac{1}{(x-2)^2} \, dx $$
</td><td>= $$\lim_{a \to 2^-} \int_1^a \frac{1}{(x-2)^2} \, dx $$ </td></tr>
<tr><td></td><td>= $$\lim_{a \to 2^-} - \frac{1}{(x-2)} |_1^a $$
</td></tr>
<tr><td></td><td>= $$\lim_{a \to 2^-} - \frac{1}{(a-2)}+\frac{1}{1-2} $$
</td></tr>
<tr><td></td><td>= $$ \infty$$
</td></tr>
since $$\frac{1}{a-2} \to -\infty$$ as $$a$$ approaches 2 from the left.
Thus, the improper integral $$\int_1^2 \frac{1}{(x-2)^2} \, dx$$ diverges;
similar work shows that $$\int_2^3 \frac{1}{(x-2)^2} \, dx$$ also
diverges. From either of these two results, we can conclude that that
the original integral, $$\int_1^3 \frac{1}{(x-2)^2} \, dx$$ diverges, too.
!!Summary
---
In this section, we encountered the following important ideas:
---
* An integral $$\int_a^b f(x) \, dx$$ can be improper if at least one of $$a$$ or $$b$$ is $$\pm \infty$$, making the interval unbounded, or if $$f$$ has a vertical asymptote at $$x = c$$ for some value of $$c$$ that satisfies $$a \le c \le b$$. One reason that improper integrals are important is that certain probabilities can be represented by integrals that involve infinite limits.
* When we encounter an improper integral, we work to understand it by replacing the improper integral with a limit of proper integrals. For instance, we write
$$\int_a^\infty f(x) \, dx = \lim_{b \to \infty} \int_a^b f(x) \, dx,$$
and then work to determine whether the limit exists and is finite. For
any improper integral, if the resulting limit of proper integrals exists
and is finite, we say the improper integral converges. Otherwise, the
improper integral diverges.
* An important class of improper integrals is given by
$$\int_1^{\infty} \frac{1}{x^p} \, dx$$
where $$p$$ is a positive real number. We can show that this improper
integral converges whenever $$p > 1$$, and diverges whenever
$$0 < p \le 1$$. A related class of improper integrals is
$$\int_0^1 \frac{1}{x^p} \, dx$$, which converges for $$0 < p < 1$$, and
diverges for $$p \ge 1$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
A company with a large customer base has a call center that receives thousands of calls a day. After studying the data that represents how long callers wait for assistance, they find that the function $$p(t) = 0.25e^{-0.25t}$$ models the time customers wait in the following way: the fraction of customers who wait between $t = a$ and $$t = b$$ minutes is given by
Use this information to answer the following questions.
''a)'' Determine the fraction of callers who wait between 5 and 10 minutes.
''b)'' Determine the fraction of callers who wait between 10 and 20 minutes.
''c)'' Next, let’s study how the fraction who wait up to a certain number of
minutes:
''i.'' What is the fraction of callers who wait between 0 and 5 minutes?
''ii.'' What is the fraction of callers who wait between 0 and 10 minutes?
''iii.'' Between 0 and 15 minutes? Between 0 and 20?
''d)'' Let $$F(b)$$ represent the fraction of callers who wait between $$0$$ and
$$b$$ minutes. Find a formula for $$F(b)$$ that involves a definite
integral, and then use the First FTC to find a formula for $$F(b)$$ that
does not involve a definite integral.
''e)'' What is the value of $$\lim_{b \to \infty} F(b)$$? Why?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The units on $$p$$ are “fraction of the population per year of age” where
$$x$$ measures the age of a person in years. A graph of $$p$$ is shown in
Figure [F:]
What fraction of the population is between the ages of 10 and 12? Write
a definite integral and use computational technology to evaluate it.
Make two observations about trends in the population based on the graph
of this density function.
Use computational technology to evaluate the integral expression
$$\frac{\int_0^{105} xp(x) \, dx}{\int_0^{105} p(x) \, dx}.$$
What is the meaning of the value you found?
Use computational technology to estimate the value of $$M$$ for which
$$\int_0^M p(x) \, dx = \frac{1}{2}$$. What is the meaning of the value
$$M$$ in the context of the problem?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Determine the fraction of students who
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
The probability of a transistor failing between months $$t = a$$ and
$$t = b$$ is given by the probability density function $$p(t) = ce^{-ct}$$,
where this formula is valid for all $$t \ge 0$$ and $$p(t) = 0$$ for all
$$t < 0$$.
If the probability of the transistor failing in the first 6 months is
0.1, what is the value of $$c$$?
Suppose that for a different transistor, the value of $$c$$ is known to be
$$c = 0.05$$. For this $$c$$ value, find the mean time it takes for a
transistor to fail.
For the same $$c$$-value ($$c = 0.05$$), find the median time it takes for a
transistor to fail.
A probability density function is given by
$$p(x) = \frac{1}{4a^2} (x-a)^2$$, where $$a > 0$$ and the formula is valid
of $$0 \le x \le a$$, while $$p(x) = 0$$ if $$x < 0$$ or $$x > a$$. Suppose that
$$p(x)$$ models the amount of time, in minutes, a customer waits at a
drive-in bank teller.
What is the value of $$a$$?
For the (similar, but different) pdf $$p(x) = \frac{3}{125} (x-5)^2$$
(which is valid for $$0 \le x \le 5$$, otherwise $$p(x) = 0$$), find the
mean wait time.
Determine the median wait time.
Find a formula that does not involve an integral for the cdf, $$P$$, that
corresponds to this pdf.
What is a probability density function?
What is a cumulative distribution function?
How does the subject of probability tie together such key calculus ideas
as density, area under a curve, improper integrals, and the Second FTC?
!!More on density functions
In Section [S:6.3.Mass], we learned that if $$\rho(x)$$ measures the mass
density distribution of a quantity along an axis, say with units “grams
per centimeter,” then $$\int_a^b \rho(x) \, dx$$ measures the total mass
of the quantity that lies between $$a$$ and $$b$$. Certainly it makes sense
to think about how other quantities might be distributed relative to a
given variable. For instance, we might be interested in how people are
distributed relative to their height or age.
Mean female height: 64 in.
Probability Density Functions {#probability-density-functions .unnumbered}
-----------------------------
In the two examples we’ve considered so far, the functions we have
considered are called ''probability density functions''.
A function $$p(x)$$ is a <span>''probability density function''</span>
provided that
The ''mean'' of a characteristic of a population given by a density
function $$p(x)$$ is
(Note well how this is related to the center of mass of a physical
object whose density we know.)
The ''median'' of a characteristic of a population given by a density
function $$p(x)$$ is
Cumulative Distribution Functions {#cumulative-distribution-functions .unnumbered}
---------------------------------
Using Definite Integrals {#C:6}
========================
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Express the following statements as differential equations. In each case, you will need to introduce
notation to describe the important quantities in the statement.
''a)'' The population of a town grows at an annual rate of 1.25%.
''b)''
A radioactive sample losses 5.6% of its mass every day.
''c)''
You have a bank account that earns 4% interest every year. At the same time, you withdraw money continually from the account at the rate of $1000 per year.
''d)'' A cup of hot chocolate is sitting in a 70$$^\circ$$ room. The temperature
of the hot chocolate cools by 10% of the difference between the hot chocolate’s temperature and the room temperature every minute.
''e)'' A can of cold soda is sitting in a 70$$^\circ$$ room. The temperature of
the soda warms at the rate of 10% of the difference between the soda’s temperature and the room’s temperature every minute.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Shown below are two graphs depicting the velocity of falling objects. On the left is the velocity of a skydiver, while on the right is the velocity of a meteorite entering the Earth’s atmosphere.
skydiver, while on the right is the velocity of a meteorite entering the
Earth’s atmosphere.
''a)'' Begin with the skydiver’s velocity and measure the rate will want to think carefully about this: you are plotting the derivative $$dv/dt$$ as a function of <span>''velocity''</span>.
<<figure 7_1_dataplot.svg>>
''b)'' Now do the same thing with the meteorite’s velocity: measure the rate of change $$dv/dt$$ when the velocity is $$v=3.5,4.0,4.5$$, and $$5.0$$. Plot your values on the graph above.
''c)'' You should find that all your point lie on a line. Write the equation of this line being careful to use proper notation for the quantities on the horizontal and vertical axes.
''d)'' The relationship you just found is a differential equation. Write a complete sentence that explains its meaning.
''e)'' By looking at the differential equation, determine the values of the
velocity for which the velocity increases?
''f)'' By looking at the differential equation, determine the values of the
velocity for which the velocity decreases?
''g)'' By looking at the differential equation, determine the values of the
velocity for which the velocity remains constant.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the differential equation
$$\frac{dv}{dt} = 1.5 - 0.5v.$$
Which of the following functions are solutions of this differential equation?
''a)''
$$ v(t) = 1.5t - 0.25t^2.$$
''b)''
$$v(t)=3+2e^{-0.5t}.$$
''d)''
$$ v(t) = 3 + Ce^{-0.5t}$$ where C is any constant.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Suppose that $$T(t)$$ represents the temperature of a cup of coffee set out in a room, where $$T$$ is expressed in degrees Fahrenheit and $$t$$ in minutes. A physical principle known as Newton’s
Law of Cooling tells us that
$$\frac{dT}{dt}= -\frac1{15}T+5.$$
''a)'' Supposes that $$T(0)=105$$. What does the differential equation give us for the value of $$\frac{dT}{dt}\vert_{T=0}$$?
Explain in a complete sentence the meaning of these two facts.
''b)'' Is $$T$$ increasing or decreasing at $$t=0$$?
''c)''
What is the approximate temperature at $$t=1$$?
''d)'' On the graph below, make a plot of $$dT/dt$$ as a function of $$T$$.
<<figure 7_1_exercise_1.svg>>
''e)'' For which values of $$T$$ does $$T$$ increase? For which values of $$T$$ does
$$T$$ decrease?
''f)'' What do you think is the temperature of the room?
Explain your thinking.
''g)''
Verify that $$T(t) = 75 + 30e^{-t/15}$$ is the solution to the differential equation with initial value $$T(0) = 105$$. What happens to this solution after a long time?
''2.'' Suppose that the population of a particular species is described by the function $$P(t)$$, where $$P$$ is expressed in millions. Suppose further that the population’s rate of change is governed by the differential equation
where $$f(P)$$ is the function graphed below.
<<figure 7_1_threshold.svg>>
''a)'' For which values of the population $$P$$ does the population increase?
''b)'' For which values of the population $$P$$ does the population decrease?
''c)'' If $$P(0) = 3$$, how will the population change in time?
''d)'' If the initial population satisfies $$0<P(0)<1$$, what will happen to the population after a very long time?
''e)'' If the initial population satisfies $$1<P(0)<3$$, what will happen to the population after a very long time?
''f)'' If the initial population satisfies $$3<P(0)$$, what will happen to the population after a very long time?
''g)'' This model for a population’s growth is sometimes called “growth with a threshold.” Explain why this is an appropriate name.
''3.'' In this problem, we test further what it means for a function to be a
solution to a given differential equation.
''a.'' Consider the differential equation
$$\frac{dy}{dt} = y - t.$$
Determine whether the following functions are solutions to the given
differential equation.
''b)'' When you weigh bananas in a scale at the grocery store, the height $$h$$ of the bananas is described by the differential equation
$$\frac{d^2h}{dt^2} = -kh$$
where $$k$$ is the <span>''spring constant''</span>, a constant that depends on the properties of the spring in the scale. After you put the bananas in the scale, you (cleverly) observe that the height of the
bananas is given by $$h(t) = 4\sin(3t)$$. What is the value of the spring constant?
What is a differential equation and what kinds of information can it tell us?
How do differential equations arise in the world around us?
What do we mean by a solution to a differential equation?
In previous chapters, we have seen that a function’s derivative tells us the rate at which the function is changing. More recently, the Fundamental Theorem of Calculus helped us to determine the total change of a function over an interval when we know the function’s rate of change. For instance, an object’s velocity tells us the rate of change of that object’s position. By integrating the velocity over a time interval, we may determine by how much the position changes over that time interval. In particular, if we know where the object is at the beginning of that interval, then we have enough information to accurately predict where it will be at the end of the interval.
In this chapter, we will introduce the concept of ''differential
equations'' and explore this idea in more depth. Simply said, a differential equation is an equation that provides a description of a function’s derivative, which means that it tells us the function’s rate of change. Using this information, we would like to learn as much as possible about the function itself. For instance, we would ideally like to have an algebraic description of the function. As we’ll see, this may be too much to ask in some situations, but we will still be able to make accurate approximations.
!!What is a differential equation?
A differential equation is an equation that describes the derivative, or derivatives, of a function that is unknown to us. For instance, the equation
$$\frac{dy}{dx}= x \sin x $$
is a differential equation since it describes the derivative of a function $$y(x)$$ that is unknown to us.
As many important examples of differential equations involve quantities that change in time, the independent variable in our discussion will frequently be time $$t$$. For instance, in the preview activity, we considered the differential equation
$$\frac{ds}{dt} = 4t + 1.$$
Knowing the velocity and the starting position of the object, we were able to find the position at any later time.
Because differential equations describe the derivative of a function, they give us information about how that function changes. Our goal will be to take this information and use it to predict the value of the function in the future; in this way, differential equations provide us with something like a crystal ball.
Differential equations arise frequently in our every day world. For instance, you may hear a bank advertising:
//''Your money will grow at a 3% annual interest rate with us.''//
This innocuous statement is really a differential equation. Let’s translate: $$A(t)$$ will be amount of money you have in your account at time $$t$$. On one hand, the rate at which your money grows is the $$0.03 A$$. This leads to the differential equation
$$\frac{dA}{dt} = 0.03 A.$$
This differential equation has a slightly different feel than the previous equation $$\frac{ds}{dt} = 4t+1$$. In the earlier example, the rate of change depends only on the independent variable $$t$$, and we may find $$s(t)$$ by integrating the velocity $$4t+1$$. In the banking example, however, the rate of change depends In the banking example, however, the rate of change depends on the dependent variable $$A$$, so we’ll need some new techniques in
order to find $$A(t)$$.
!!Differential equations in the world around us
As we have noted, differential equations give a natural way to describe phenomena we see in the real world. For instance, physical principles are frequently expressed as a description of how a quantity changes. A good example is Newton’s Second Law, an important physcial principle that says:
//''The product of an object’s mass and acceleration equals the force applied to it.''//
For instance, when gravity acts on an object near the earth’s surface,
it exerts a force equal to $$mg$$, the mass of the object times the gravitational constant $$g$$. We therefore have
$$ma=mg$$ or
$$\frac{dv}{dt} = g$$
where $$v$$ is the velocity of the object, and $$g = 9.8$$ meters per second squared. Notice that this physical principle does not tell us what the object’s velocity is, but rather how the object’s velocity changes.
The point of this activity is to demonstrate how differential equations model processes in the real world. In this example, two factors are influencing the velocities: gravity and wind resistance. The differential equation describes how these factors influence the rate of change of the objects’ velocities.
!!Solving a differential equation
We have said that a differential equation is an equation that describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential equation, we mean simply a function that satisies this description.
For instance, the first differential equation we looked at is
$$\frac{ds}{dt} = 4t+1,$$
which describes an unknown function s(t). We may check that $$s(t) = 2t^2 + t$$ is a solution
because it satisfies this description. Notice that $$s(t) = 2t^2+t+4$$ is also a solution.
If we have a candidate for a solution, it is straightforward to check whether it is a solution or not. Before we demonstrate, however, let’s consider the same issue in a simpler context. Suppose we are given the equation $$2x^2 - 2x = 2x + 6$$ and asked whether $$x = 3$$ is a solution. To answer this question, we could rewrite the variable x in the equation with the symbol ''o'' :
To determine whether $$x=3$$ is a solution, we can investigate the value
of each side of the equation separately when the value $$3$$ is placed in
''o'' and see if indeed the two resulting values are equal. Doing so,
we observe that
$$2o^2 - 2o = 2 \cdot 3^2 - 2 \cdot 3 = 12$$
$$2o + 6 = 2\cdot3 + 6 = 12.$$
Therefore, $$x=3$$ is indeed a solution.
We will do the same thing with differential equations. Consider the differential equation
$$\frac{dv}{dt} = 1.5 - 0.5v$$ or,
$$\frac{do}{dt} = 1.5 - 0.5o$$
Let’s ask whether $$v(t) = 3 - 2e^{-0.5t}$$ is a solution <<footnote [1] "At this time, don’t worry about why we chose this function; we will learn techniques for finding solutions to differential equations soon enough.">>. Using this formula for $$v$$, observe first that
$$\frac{dv}{dt} = \frac{do}{dt} = \frac{d}{dt}[3 - 2e^{-0.5t}] = -2e^{-0.5t} \cdot (-0.5) = e^{-0.5t}$$
$$1.5 - 0.5v = 1.5 - 0.5o= 1.5 - 0.5(3 - 2e^{-0.5t}) = 1.5 - 1.5 + e^{-0.5t} = e^{-0.5t}.$$
Since $$\frac{dv}{dt}$$ and $$1.5 - 0.5v$$ agree for all values of $$t$$ when
$$v = 3-2e^{-0.5t}$$, we have indeed found a solution to the differential equation.
This activity shows us something interesting. Notice that the differential equation has infinitely many solutions, which are parametrized by the constant $$C$$ in $$v(t) = 3+Ce^{-0.5t}$$. In
<<figreference 7_1_family.svg>>, we see the graphs of these solutions for a few
values of $$C$$, as labeled.
<<figure 7_1_family.svg>>
Notice that the value of $$C$$ is connected to the initial value of the velocity $$v(0)$$, since $$v(0) = 3+C$$. In other words, while the differential equation describes how the velocity changes as a function
of the velocity itself, this is not enough information to determine the
velocity uniquely: we also need to know the initial velocity. For this reason, differential equations will typically have infinitely many solutions, one corresponding to each initial value. We have seen this
phenomenon before, such as when given the velocity of a moving object $$v(t)$$, we were not able to uniquely determine the object’s position unless we also know its initial position.
If we are given a differential equation and an initial value for the unknown function, we say that we have an <span>''initial value
problem.''</span> For instance,
$$\frac{dv}{dt} = 1.5-0.5v, \ v(0) = 0.5$$
is an initial value problem. In this situation, we know the value of $$v$$ at one time and we know how $$v$$ is changing. Consequently, there
should be exactly one function $$v$$ that satisfies the initial value problem.
This demonstrates the following important general property of initial
value problems.
<table>
Initial value problems that are “well behaved” have exactly one solution, which exists in some interval around the initial point.
We won’t worry about what “well behaved” means—it is a technical condition that will be satisfied by all the differential equations we consider.
To close this section, we note that differential equations may be classified based on certain characteristics they may possess. Indeed, you may see many different types of differential equations in a later course in differential equations. For now, we would like to introduce a few terms that are used to describe differential equations.
A <span>''first-order''</span> differential equation is one in which only
the first derivative of the function occurs. For this reason,
$$\frac{dv}{dt} = 1.5-0.5v$$
is a first-order equation while
$$\frac{d^2 y}{dt^2} = -10y$$
is a second-order equation.
A differential equation is <span>''autonomous''</span> if the independent variable does not appear in the description of the derivative. For instance,
$$\frac{dv}{dt} = 1.5-0.5v$$
is autonomous because the description of the derivative $$dv/dt$$ does not depend on time. The equation
$$\frac{dy}{dt} = 1.5t - 0.5y,$$
however, is not autonomous.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A differential equation is simply an equation that describes the derivative(s) of an unknown function.
* Physical principles, as well as some everyday situations, often describe how a quantity changes, which lead to differential equations.
* A solution to a differential equation is a function whose derivatives satisfy the equation’s description. Differential equations typically have infinitely many solutions, parametrized by the initial values. situations, but we will still be able to make accurate approximations.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
The position of a moving object is given by the function $$s(t)$$, where $$s$$ is measured in feet and $$t$$ in seconds. We determine that the velocity is $$v(t) = 4t + 1$$ feet per second.
''a)'' How much does the position change over the time interval $$[0,4]$$?
''b)'' Does this give you enough information to determine $$s(4)$$, the position at time $$t=4$$? If so, what is $$s(4)$$? If not, what additional information would you need to know to determine $$s(4)$$?
''c)'' Suppose you are told that the object’s initial position $$s(0) = 7$$. Determine $$s(2)$$, the object’s position 2 seconds later.
''d)'' If you are told instead that the object’s initial position is
$$s(0) = 3$$, what is $$s(2)$$?
''e)'' If we only know the velocity $$v(t)=4t+1$$, is it possible that the object’s position at all times is $$s(t) = 2t^2 + t - 4$$? Explain how you know.
''f)''
Are there other possibilities for $$s(t)$$? If so, what are they?
''g)'' If, in addition to knowing the velocity function is $$v(t) = 4t+1$$, we
know the initial position $$s(0)$$, how many possibilities are there for
$$s(t)$$?
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the differential equation
$$\frac{dy}{dt} = -\frac 12( y - 4).$$
''a)''
Make a plot of $$\frac{dy}{dt}$$ versus $$y$$. Looking at the graph, for what values of $$y$$ does $$y$$ increase and for what values does
it decrease?
<<figure 7_2_Act1_1.svg>>
''b)'' Now sketch the slope field for this differential equation on the axes provided.
<<figure 7_2_Act1_2.svg>>
''c)'' Use your work in (b) to sketch the solutions that satisfy $$y(0) = 0$$, $$y(0) = 2$$, $$y(0) = 4$$ and $$y(0) = 6.$$
''d)'' Verify that $$y(t) = 4 + 2e^{-t/2}$$ is a solution to the differential equation with the initial value $$y(0) = 6.$$ Compare its graph to the one you sketched in (c).
''e)'' What is special about the solution where $$y(0) = 4$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the differential equation
$$\frac{dy}{dt} = -\frac 12 y(y-4).$$
''a)'' Make a plot of $$\frac{dy}{dt}$$ versus $$y$$. Looking at the graph, for what values of $$y$$ does $$y$$ increase and for what values does
it decrease?
<<figure 7_2_Act2_1.svg>>
''b)'' Identify any equilibrium solutions of this differential equation.
''c)'' Now sketch the slope field for this differential equation.
<<figure 7_2_Act2_2.svg>>
''d)'' Sketch the solutions to the given differential equation that correspond to initial values $$y(0) = -1,0,1,. . . ,5$$.
''e)'' An equilibrium solution $$\overline{y}$$ is called <span>''stable''</span> if nearby solutions converge to $$\overline{y}$$. This means that if the inital condition varies slightly from $$\overline{y}$$, then $$\lim_{t\to\infty}y(t) = \overline{y}$$. Conversely, an equilibrium solution $$\overline{y}$$ is called <span>''unstable''</span> if nearby solutions are pushed away
from $$\overline{y}$$.
Using your work above, classify the equilibrium solutions you found as either stable or unstable.
''f)'' Suppose that $$y(t)$$ describes the population of a species of living organisms and that the initial value $$y(0)>0$$. What can you say about the eventual fate of this population?
''g)'' Remember that an equilibrium solution $$\overline{y}$$ satisfies $$f(\overline{y}) = 0$$. If we graph $$dy/dt = f(y)$$ as a function of $$y$$, for which of the following differential equations is $$\overline{y}$$ a stable equilibrium and for which is it unstable? Why?
<<figure 7_2_Act2_3.svg>>
<<figure 7_2_Act2_4.svg>>
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Let’s consider the initial value problem
$$\frac{dy}{dt} = t - 2, \ \ y(0) = 1.$$
''a)'' Use the differential equation to find the slope of the tangent line to the solution $$y(t)$$ at $$t=0$$. Then use the initial value to find the equation of the tangent line at $$t=0$$. Sketch this tangent line over the interval $$-0.25\leq t\leq0.25$$ on the axes provided.
<<figure 7_2_PA_tangents.svg>>
''b)'' Also shown in the given figure are the tangent lines to the solution
$$y(t)$$ at the points $$t=1, 2,$$ and $$3$$ (we will see how to find these later). Use the graph to measure the slope of each tangent line and verify that each agrees with the value specified by the differential equation.
''c)'' Using these tangent lines as a guide, sketch a graph of the solution $$y(t)$$ over the interval $$0\leq t\leq 3$$ so that the lines are tangent to the graph of $$y(t)$$.
''d)'' Use the Fundamental Theorem of Calculus to find $$y(t)$$, the solution to this initial value problem.
''e)'' Graph the solution you found in (d) on the axes provided, and compare it
to the sketch you made using the tangent lines.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Consider the differential equation
$$
\frac{dy}{dt} = t-y.
$$
''a)'' Sketch a slope field on the plot below:
''b)'' Sketch the solutions whose initial values are $$y(0)= -4, -3, \ldots, 4$$.
''c)'' What do your sketches suggest is the solution whose initial
value is $y(0) = -1$? Verify that this is indeed the solution to
this initial value problem.
''d)'' By considering the differential equation and the graphs you
have sketched, what is the relationship between $$t$$ and $$y$$ at a
point where a solution has a local minimum?
''2.'' Consider the situation from problem 2 of Section~\ref{S:7.1.DEIntro}: Suppose
that the population of a particular species is
described by the function $P(t)$, where $P$ is expressed in
millions. Suppose further that the population's rate of change is
governed by the differential equation
$$ \frac{dP}{dt} = f(P)$$
where $$f(P)$$ is the function graphed below.
<<figure 7_1_threshold.svg>>
''a)'' Sketch a slope field for this differential equation. You do
not have enough information to determine the actual slopes, but
you should have enough information to determine where slopes are positive, negative, zero, large, or small, and hence determine the qualitative
behavior of solutions.
''b)'' Sketch some solutions to this differential equation when the
initial population $$P(0)>0$$.
''c)'' Identify any equilibrium solutions to the differential equation and classify them as stable
or unstable.
''d)'' If $$P(0)>1$$, what is the eventual fate of the species?
''e)'' if $$P(0)<1$$, what is the eventual fate of the species?
''f)'' Remember that we referred to this model for population growth
as ''growth with a threshold.'' Explain why this characterization makes sense by considering
solutions whose inital value is close to 1.
''3.'' The population of a species of fish in a lake is $$P(t)$$ where
$$P$$ is measured in thousands of fish and $$t$$ is measured in
months. The growth of the population is described by the
differential equation
$$\frac{dP}{dt} = f(P) = P(6-P)$$
''a)'' Sketch a graph of $f(P) = P(6-P)$ and use it to determine the
equilibrium solutions and whether they are stable or unstable.
Write a complete sentence that describes the long-term behavior of
the fish population.
''b)'' Suppose now that the owners of the lake allow fishers to
remove 1000 fish from the lake every month (remember that $P(t)$
is measured in {\em thousands} of fish). Modify the differential
equation to take this into account. Sketch the new graph of
$dP/dt$ versus $P$. Determine the new equilibrium solutions and
decide whether they are stable or unstable.
''c)'' Given the situation in part (b), give a description of
the long-term behavior of the fish population.
''d)'' Suppose that fishermen remove $$h$$ thousand fish per month.
How is the differential equation modified?
''e)'' What is the largest
number of fish that can be removed per month without eliminating the fish
population? If fish are removed at this maximum rate, what is the
eventual population of fish?
''4.'' Let $$y(t)$$ be the number of thousands of mice that live on a
farm; assume time $$t$$ is measured in years.<<footnote [2] "This problem is based on an ecological analysis
presented in a research paper by C.S. Hollings: The Components of
Predation as Revealed by a Study of Small Mammal Predation of the
European Pine Sawfly, Canadian Entomology} {\bf 91}: 283-320. >>
''a)'' The population of the mice grows at a yearly rate that is twenty times
the number of mice. Express this as a differential equation.
''b)'' At some point, the farmer brings $C$ cats to the farm. The
number of mice that the cats can eat in a year is
$$M(y) = C\frac{y}{2+y}$$
thousand mice per year. Explain how this modifies the
differential equation that you found in part a)
''c)'' Sketch a graph of the function $$M(y)$$ for a single cat $$C = 1$$ and explain its features by looking, for instance, at the behavior of $$M(y)$$ when y is small and when y is large.
''d)'' Suppose that $$C=1$$. Find the equilibrium solutions and
determine whether they are stable or unstable. Use this to
explain the long-term behavior of the mice population depending on
the initial population of the mice.
''e)'' Suppose that $$C=20$$. Find the equilibrium solutions and
determine whether they are stable or unstable. Use this to
explain the long-term behavior of the mice population depending on
the initial population of the mice.
''f)'' What is the largest number of cats for which the mice
population can survive?
How can we use a slope field to obtain qualitative information about the solutions of a differential equation?
What are stable and unstable equilibrium solutions of an autonomous differential equation?
In earlier work, we have used the tangent line to the graph of a function $$f$$ at a point $$a$$ to approximate the values of $$f$$ near $$a$$. The usefulness of this approximation is that we need to know very little about the function; armed with only the value $$f(a)$$ and the derivative $$f'(a)$$, we may find the equation of the tangent line and the approximation
$$f(x) \approx f(a) + f'(a)(x-a).$$
Remember that a first-order differential equation gives us information about the derivative of an unknown function. Since the derivative at a point tells us the slope of the tangent line at this point, a differential equation gives us crucial information about the tangent lines to the graph of a solution. We will use this information about the tangent lines to create a ''slope field'' for the differential equation, which enables us to sketch solutions to initial value problems. Our aim will be to understand the solutions qualitatively. That is, we would like to understand the basic nature of solutions, such as their long-range behavior, without precisely determining the value of a solution at a particular point.
<<reference 7.2.PA1>> shows that we may sketch the solution to an
initial value problem if we know an appropriate collection of tangent lines.
Because we may use a given differential equation to determine the slope
of the tangent line at any point of interest, by plotting a useful collection of these,
we can get an accurate sense of how certain solution curves must behave.
Let’s continue looking at the differential equation $$
\frac{dy}{dt} = t-2.
$$ If $$t=0$$, this equation says that $$dy/dt = 0-2=-2$$. Note that this value
holds regardless of the value of $$y$$. We will therefore sketch tangent lines for several values of $$y$$ and $$t=0$$ with a slope of
$$-2$$.
<<figure 7_2_field_0.svg>>
Let’s continue in the same way: if $$t=1$$, the differential equation tells us that $$dy/dt = 1-2=-1$$, and this holds regardless of the value
of $$y$$. We now sketch tangent lines for several values of $$y$$ and $$t=1$$ with a slope of $$-1$$.
<<figure 7_2_field_1.svg>>
Similarly, we see that when $$t=2$$, $$dy/dt = 0$$ and when $$t=3$$, $$dy/dt=1$$. We may therefore add to our growing collection of tangent
line plots to achieve the next figure.
<<figure 7_2_field_3.svg>>
In this figure, you may see the solutions to the differential equation emerge. However, for the sake of clarity, we will add more tangent lines to provide the more complete picture shown below.
<<figure 7_2_field_23a.svg>>
This most recent figure, which is called a <span>''slope field''</span>
for the differential equation, allows us to sketch solutions just as we did in the preview activity. Here, we will begin
with the initial value $$y(0) = 1$$ and start sketching the solution by following the tangent line, as shown in the next figure.
<<figure 7_2_field_30.svg>>
We then continue using this principle: whenever the solution passes through a point at which a tangent line is drawn, that line is tangent to the solution. Doing so leads us to the following sequence of images.
<<figure 7_2_field_31.svg>>
<<figure 7_2_field_32.svg>>
<<figure 7_2_field_33.svg>>
In fact, we may draw solutions for any possible initial value, and doing
this for several different initial values for $$y(0)$$ results in the
graphs shown next.
<<figure 7_2_field_4.svg>>
Just as we have done for the most recent example with
$$\frac{dy}{dt} = t-2$$, we can construct a slope field for any
differential equation of interest. The slope field provides us with
visual information about how we expect solutions to the differential
equation to behave.
!!Equilibrium solutions and stability
As our work in <<reference 7.2.Act1>> demonstrates, first-order autonomous solutions may have solutions that are constant. In fact, these are quite easy to detect by inspecting the differential equation $$ \frac{dy}{dt} = f (y)$$: constant solutions necessarily have a zero derivative so $$\frac {dy}{dt} = 0 = f (y)$$.
For example, in <<reference 7.2.Act1>>, we considered the equation
$$\frac{dy}{dt} = f(y)=-\frac12(y-4).$$
Constant solutions are found by setting $$f(y) = -\frac12(y-4) = 0$$,
which we immediately see implies that $$y = 4$$.
Values of $$y$$ for which $$f(y) = 0$$ in an autonomous differential
equation $$\frac{dy}{dt} = f(y)$$ are usually called or <span>''equilibrium
solutions''</span> of the differential equation.
A slope field is a plot created by graphing the tangent lines of
many different solutions to a differential equation.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A slope field is a plot created by graphing the tangent lines of many different solutions to a differential equation.
* Once we have a slope field, we may sketch the graph of solutions by drawing a curve that is always tangent to the lines in the slope field.
* Autonomous differential equations sometimes have constant solutions that we call equilibrium solutions. These may be classified as stable or unstable, depending on the behavior of nearby solutions.
Consider the differential equation $$\frac{dy}{dt} = t-y.$$
Sketch a slope field on the plot below:
![image](figures/7_2_ex_1.eps)
Sketch the solutions whose initial values are $$y(0)= -4, -3, \ldots, 4$$.
What do your sketches suggest is the solution whose initial
value is $$y(0) = -1$$? Verify that this is indeed the solution to
this initial value problem.
By considering the differential equation and the graphs you
have sketched, what is the relationship between $$t$$ and $$y$$ at a
point where a solution has a local minimum?
Consider the situation from problem 2 of Section [S:7.1.DEIntro]:
Suppose
that the population of a particular species is
described by the function $$P(t)$$, where $$P$$ is expressed in
millions. Suppose further that the population’s rate of change is
governed by the differential equation $$\frac{dP}{dt} = f(P)$$
where $$f(P)$$ is the function graphed below.
![image](figures/7_1_threshold.eps)
Sketch a slope field for this differential equation. You do
not have enough information to determine the actual slopes, but
you should have enough information to determine where slopes are
positive, negative, zero, large, or small, and hence determine the
qualitative
Sketch some solutions to this differential equation when the
initial population $$P(0)>0$$.
Identify any equilibrium solutions to the differential equation and
classify them as stable
If $$P(0)>1$$, what is the eventual fate of the species?
if $$P(0)<1$$, what is the eventual fate of the species?
Remember that we referred to this model for population growth
as “growth with a threshold.” Explain why this characterization makes
sense by considering
solutions whose inital value is close to 1.
The population of a species of fish in a lake is $$P(t)$$ where
$$P$$ is measured in thousands of fish and $$t$$ is measured in
months. The growth of the population is described by the
differential equation $$\frac{dP}{dt} = f(P) = P(6-P).$$
Sketch a graph of $$f(P) = P(6-P)$$ and use it to determine the
equilibrium solutions and whether they are stable or unstable.
Write a complete sentence that describes the long-term behavior of
Suppose now that the owners of the lake allow fishers to
remove 1000 fish from the lake every month (remember that $$P(t)$$
is measured in <span>''thousands''</span> of fish). Modify the
differential
equation to take this into account. Sketch the new graph of
$$dP/dt$$ versus $$P$$. Determine the new equilibrium solutions and
decide whether they are stable or unstable.
Given the situation in part (b), give a description of
the long-term behavior of the fish population.
Suppose that fishermen remove $$h$$ thousand fish per month.
How is the differential equation modified?
What is the largest
number of fish that can be removed per month without eliminating the
fish
population? If fish are removed at this maximum rate, what is the
eventual population of fish?
Let $$y(t)$$ be the number of thousands of mice that live on a
presented in a research paper by C.S. Hollings: The Components of
Predation as Revealed by a Study of Small Mammal Predation of the
The population of the mice grows at a yearly rate that is twenty times
the number of mice. Express this as a differential equation.
At some point, the farmer brings $$C$$ cats to the farm. The
number of mice that the cats can eat in a year is
$$M(y) = C\frac{y}{2+y}$$
thousand mice per year. Explain how this modifies the
differential equation that you found in part a).
Sketch a graph of the function $$M(y)$$ for a single cat $$C=1$$ and
explain its features by looking, for instance, at the behavior of
$$M(y)$$ when $$y$$ is small and when $$y$$ is large.
Suppose that $$C=1$$. Find the equilibrium solutions and
determine whether they are stable or unstable. Use this to
explain the long-term behavior of the mice population depending on
the initial population of the mice.
Suppose that $$C=20$$. Find the equilibrium solutions and
determine whether they are stable or unstable. Use this to
explain the long-term behavior of the mice population depending on
the initial population of the mice.
What is the largest number of cats for which the mice
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the initial value problem:
$$\frac{dy}{dt} =2t-1, y(0)=0$$
''a)'' Use Euler’s method with $$\Delta t = 0.2$$ to approximate the solution at $$t_i = 0.2,0.4,0.6,0.8$$, and 1.0. Record your work in the following table, and sketch the points $$(ti , yi )$$ on the following axes provided.
<<figure 7_3_euler_empty.svg>>
''b)'' Find the exact solution to the initial value problem in part b) and find the error in your approximation at each one of the points
$$t_i$$.
''c)'' Explain why the value $$y_5$$ generated by Euler’s method for this initial value problem produces the same value as a left Riemann sum for the definite integral $$\int_0^1
(2t-1)~dt$$.
''d)'' How would your computations differ if the initial value was $$y(0) = 1$$? What does this mean about different solutions to this differential equation?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the differential equation: $$\frac{dy}{dt} = 6y-y^2$$
''a)'' Sketch the slope field for this differential equation below.
<<multifigure multifig.7.3.a>>
''b)'' Identify any equilibrium solutions and determine whether they are stable or unstable.
''c)'' What is the long-term behavior of the solution with initial value
$$y(0) = 1$$ ?
''d)'' Using the initial value $$y(0) = 1$$, use Euler’s method with $$ \triangle t = 0.2$$ to approxi- mate the solution at $$t_i = 0.2,0.4,0.6,0.8$$, and $$1.0$$. Sketch the points (ti,yi) on the axes provided at right in (a). (Note the different horizontal scale on the two sets of axes.)
''e)'' What happens if you apply Euler’s method to approximate the solution with $$y(0) = 6$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Newton's Law of Cooling says that the rate at which an
object, such as a cup of coffee, cools is proportional to the
difference in the object's temperature and room temperature. If
$$T(t)$$ is the object's temperature and $$T_r$$ is room temperature,
this law is expressed at
$$\frac{dT}{dt} = -k(T-T_r)$$
where $$k$$ is a constant of proportionality. In this problem,
temperature is
measured in degrees Fahrenheit and time in minutes.
''a)'' Two calculus students, Alice and Bob, enter a $$70^\circ$$
classroom at the same time. Each has a cup of coffee that is
$$100^\circ$$. The differential equation for Alice has a constant
of proportionality $$k=0.5$$, while the constant of proportionality
for Bob is $$k=0.1$$.
What is the initial rate of change for Alice's coffee?
What is the initial rate of change for Bob's coffee?
''b)'' What feature of Alice's and Bob's cups of coffee could explain
this difference?
''c)'' As the heating unit turns on and off in the room, the
temperature in the room is
Implement Euler's method with a step size of $$\Delta t = 0.1$$ to approximate the
temperature of Alice's coffee over the time interval $$0\leq t\leq
50$$. This will most easily be performed using a spreadsheet such
as ''Excel''. Graph the temperature of her coffee and room
temperature over this interval.
''d)'' In the same way, implement Euler's method to approximate the
temperature of Bob's
coffee over the same time interval. Graph the temperature of his
coffee and room temperature over the interval.
''e)'' Explain the similarities and differences that you see in the
behavior of Alice's and Bob's cups of coffee.
''2.'' We have seen that the error in approximating the solution to
an initial value problem is proportional to $$\triangle t$$. That is,
if $$E_{\triangle t}$$ is the Euler's method approximation to the
solution to an initial value problem at $$\overline{t}$$, then
$$y(\overline{t})-E_{\Delta t} \approx K\Delta t
$$
for some constant of proportionality $$K$$.
In this problem, we will see how to use this fact to improve our
estimates, using an idea called ''accelerated convergence''
''a)'' We will create a new approximation by assuming the error is
{\em exactly} proportional to $$\triangle t$$, according to the formula
$$y(\overline{t})-E_{\Delta t} =K\Delta t.
$$
Using our earlier results from the initial value problem $$dy/dt = y$$ and
$$y(0)=1$$ with $$\triangle t = 0.2$$ and $$\triangle t = 0.1$$, we have
<center>
<table class="equationtable">
<tr><td> $$y(1) - 2.4883 $$
</td><td>= $$ 0.2K $$ </td></tr>
<tr><td>$$y(1) - 2.5937 $$</td><td>= $$0.1K $$
</td></tr>
This is a system of two linear equations in the unknowns $$y(1)$$
and $$K$$. Solve this system to find a new approximation for
$$y(1)$$. (You may remember that the exact value is $$y(1) = e =
2.71828\ldots.$$)
''b)'' Use the other data, $$E_{0.05} = 2.6533$$ and $$E_{0.025} = 2.6851$$
to do similar work as in (a) to obtain another approximation. Which gives the better
approximation? Why do you think this is?
''c)'' Let's now study the initial value problem
$$
\frac{dy}{dt} = t-y, \ y(0) = 0.
$$
Approximate $$y(0.3)$$ by applying Euler’s method to find approximations $$E0.1$$ and $$E0.05$$. Now use the idea of accelerated convergence to obtain a better approximation. (For the sake of comparison, you want to note that the actual value is $$y(0.3) = 0.0408$$.)
''3.'' In this problem, we’ll modify Euler’s method to obtain better approximations to solutions of initial value problems. This method is called the Improved Euler’s method.
In Euler's method, we walk across an interval of width $\Delta t$
using the slope obtained from the differential equation at the
left endpoint of the interval. Of course, the slope of the
solution will most likely change over this interval. We can
improve our approximation by trying to incorporate the change in
the slope over the interval.
Let's again consider the initial value problem $$dy/dt = y$$ and
$$y(0) = 1$$, which we will approximate using steps of width $$\triangle
t = 0.2$$. Our first interval is therefore $$0\leq t \leq 0.2$$. At
$$t=0$$, the differential equation tells us that the slope is 1, and
the approximation we obtain from Euler's method is that
$$y(0.2)\approx y_1= 1+ 1(0.2)= 1.2$$.
This gives us some idea for how the slope has changed over the
interval $$0\leq t\leq 0.2$$. We know the slope at $$t=0$$ is 1,
while the slope at $$t=0.2$$ is 1.2, trusting in the Euler's method
approximation. We will therefore refine our estimate of the
initial slope to be the average of these two slopes; that is, we
will estimate the slope to be $$(1+1.2)/2 = 1.1$$. This gives the
new approximation $$y(1) = y_1 = 1 + 1.1(0.2) = 1.22$$.
The first few steps look like this:
''a)'' Continue with this method to obtain an approximation for $$y(1) =
e$$.
''b)'' Repeat this method with $$\Delta t = 0.1$$ to obtain a better
approximation for $$y(1)$$.
''c)'' We saw that the error in Euler's method is proportional to
$$\Delta t$$. Using your results from parts (a) and (b), what power
of $$\Delta t$$ appears to be proportional to the error in the
Improved Euler's Method?
What is Euler’s method and how can we use it to approximate the solution to an initial value problem?
How accurate is Euler’s method?
In <<reference 7.2.Qualitative>>, we saw how a slope field can be used to
sketch solutions to a differential equation. In particular, the slope field is a plot of a large collection of tangent lines to a large number of
solutions of the differential equation, and we sketch a single solution by simply
following these tangent lines. With a little more thought, we may use this same idea to numerically approximate the solutions of a differential
equation.
<<reference 7.3.PA1>> demonstrates the essence of an algorithm,
which is known as Euler’s Method, that generates a numerical approximation to the solution will approximate the solution by taking horizontal steps of a fixed size that we denote by $$\Delta t$$.
Before explaining the algorithm in detail, let’s remember how we compute the slope of a line: the slope is the ratio of the vertical change to the horizontal change, as shown in the following figure.
In other words, $$m = \frac{\Delta y}{\Delta t}$$. Said differently, the vertical change is the product of the slope and the horizontal change:
$$\Delta y = m\Delta t.$$
Suppose that we would like to solve the initial value problem
$$\frac{dy}{dt} = t - y, \ y(0) = 1.$$
While there is an algorithm by which we can find an algebraic formula
for the solution to this initial value problem, and we can check that
this solution is $$y(t) = t -1 + 2e^{-t}$$, we are instead interested in
generating an approximate solution by creating a sequence of points $$(t_i, y_i)$$, where $$y_i\approx y(t_i)$$. For this first
example, we choose $$\Delta t = 0.2$$.
Since we know that $$y(0) = 1$$, we will take the initial point to be $$(t_0,y_0) = (0,1)$$ and move horizontally by $$\Delta t = 0.2$$ to the point $$(t_1,y_1)$$. Therefore, $$t_1=t_0+\Delta t = 0.2$$. The differential equation tells us that the slope of the tangent line at this point is
$$m=\frac{dy}{dt}\bigg\vert_{(0,1)} = 0-1 = -1.$$
Therefore, if we move along the tangent line by taking a horizontal step
of size $$\Delta t=0.2$$, we must also move vertically by
$$\Delta y = m\Delta t = -1\cdot 0.2 = -0.2.$$
We then have the approximation $$y(0.1) \approx y_1= y_0 + \Delta y = 1 - 0.2 = 0.8.$$ At
this point, we have executed one step of Euler’s method.
<<figure 7_3_euler_points_1.svg>>
Now we repeat this process: at $$(t1,y1) = (0.2,0.8)$$, the differential equation tells us that the slope is
$$m=\frac{dy}{dt}\bigg\vert_{(0.2,0.8)} = 0.2-0.8 = -0.6.$$
If we move horizontally by $$\Delta t$$ to $$t_2=t_1+\Delta = 0.4$$, we must
move vertically by
$$\Delta y = -0.6\cdot0.2 = -0.12.$$
We consequently arrive at $$y_2=y_1+\Delta y = 0.8-0.12 = 0.68$$, which gives $$y(0.2)\approx 0.68$$. Now we have completed the second step of
Euler’s method.
<<figure 7_3_euler_points_2.svg>>
If we continue in this way, we may generate the points $$(t_i, y_i)$$ shown at left in Figure [F:7.3.EulerPts]. In situations where we are
able to find a formula for the actual solution $$y(t)$$, we can graph
$$y(t)$$ to compare it to the points generated by Euler’s method, as shown
at right in <<figreference 7_3_multifig1>>.
<<multifigure 7_3_multifig1>>
Because we need to generate a large number of points $$(t_i,y_i)$$, it is
convenient to organize the implementation of Euler’s method in a table as shown. We begin with the given initial data.
From here, we compute the slope of the tangent line $$m=dy/dt$$ using the formula for $$dy/dt$$ from the differential equation, and then we find $$\Delta y$$, the change in $$y$$, using the rule
$$\Delta y = m\Delta t$$.
{{equation, and then we find $$\Delta y$$, the change in $$y$$, using the rule
$$\Delta y = m\Delta t$$.
}}
Next, we increase $$t_i$$ by $$\Delta t$$ and $$y_i$$ by $$\Delta y$$ to get
and then we simply continue the process for however many steps we
decide, eventually generating a table like the one that follows.
!!The error in Euler’s method
Since we are approximating the solutions to an initial value problem using tangent lines, we should expect that the error in the approximation will be less when the step size is smaller. To explore this observation quantitatively, let’s consider the initial
value problem
$$\frac{dy}{dt} = y, \ y(0) = 1$$
whose solution we can easily find.
Consider the question posed by this initial value problem: "what
function do we know that is the same as its own derivative and has value 1 when $$t=0$$?” It is not hard to see that the solution is $$y(t) = e^t$$. We now apply Euler’s method to approximate $$y(1) = e$$ using several values of $$\Delta t$$. These approximations will be denoted by $$E_{\Delta t}$$, and these estimates
provide us a way to see how accurate Euler’s Method is.
To begin, we apply Euler’s method with a step size of $$\triangle t = 0.2$$. In that case, we find that $$y(1) \approx E_{0.2} = 2.4883$$. The error is therefore $$y(1) - E_{0.2} = e - 2.4883 \approx 0.2300$$.
Repeatedly halving $$\Delta t$$ gives the following results, expressed in both tabular and graphical form.
Notice, both numerically and graphically, that the error is roughly
halved when $$\Delta t$$ is halved. This example illustrates the following general principle.
<table>
If Euler’s method is to approximate the solution to an initial value problem at a point $$\overline{t}$$, then the error is proportional to $$\Delta t$$. That is,
<br>
<br>
<center>
$$y() - E_t Kt $$
<br>
</center>
for some constant of proportionality ''K''.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Euler’s method is an algorithm for approximating the solution to an initial value problem by following the tangent lines while we take horizontal steps across the $$t$$-axis.
* If we wish to approximate $$y(\overline{t})$$ for some fixed $$\overline{t}$$ by taking horizontal steps of size $$\Delta t$$, then the error in our approximation is proportional to $$\Delta t$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Consider the initial value problem
$$\frac{dy}{dt} = \frac12 (y + 1), \ y(0) = 0.$$
''a)'' Use the differential equation to find the slope of the tangent line to the solution $$y(t)$$ at $$t=0$$. Then use the given initial value
to find the equation of the tangent line at $$t=0$$.
''b)'' Sketch the tangent line on the axes below on the interval 0 ≤ t ≤ 2 and use it to approximate y(2), the value of the solution at $$t=2$$.
''c)'' Assuming that your approximation for $$y(2)$$ is the actual value of $$y(2)$$, use the differential equation to find the slope of the tangent line to $$y(t)$$ at $$t=2$$. Then, write the equation of the tangent line at $$t=2$$.
''d)'' Add a sketch of this tangent line to your plot on the axes above on the interval $$2 < t \leq 4$$; use this new tangent line to approximate $$y(4)$$, the value of the solution at $$t = 4$$.
''e)'' Repeat the same step to find an approximation for $$y(6)$$.
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
Newton’s Law of Cooling says that the rate at which an
object, such as a cup of coffee, cools is proportional to the
difference in the object’s temperature and room temperature. If
$$T(t)$$ is the object’s temperature and $$T_r$$ is room temperature, this
law is expressed at $$\frac{dT}{dt} = -k(T-T_r),$$
where $$k$$ is a constant of proportionality. In this problem, temperature
is
measured in degrees Fahrenheit and time in minutes.
Two calculus students, Alice and Bob, enter a 70$$^\circ$$ classroom at
the same time. Each has a cup of coffee that is
100$$^\circ$$. The differential equation for Alice has a constant
of proportionality $$k=0.5$$, while the constant of proportionality for
Bob is $$k=0.1$$.
What is the initial rate of change for Alice’s coffee?
What is the initial rate of change for Bob’s coffee?
What feature of Alice’s and Bob’s cups of coffee could explain
As the heating unit turns on and off in the room, the
temperature in the room is $$T_r=70+10\sin t.$$ Implement Euler’s method
with a step size of $$\Delta t = 0.1$$ to approximate the
as ''Excel''. Graph the temperature of her coffee and room
temperature over this interval.
In the same way, implement Euler’s method to approximate the temperature
of Bob’s
coffee over the same time interval. Graph the temperature of his
coffee and room temperature over the interval.
Explain the similarities and differences that you see in the
behavior of Alice’s and Bob’s cups of coffee.
We have seen that the error in approximating the solution to
an initial value problem is proportional to $$\Delta t$$. That is,
if $$E_{\Delta t}$$ is the Euler’s method approximation to the
solution to an initial value problem at $$\overline{t}$$, then
$$y(\overline{t})-E_{\Delta t} \approx K\Delta t$$
for some constant of proportionality $$K$$.
In this problem, we will see how to use this fact to improve our
estimates, using an idea called <span>''accelerated convergence''</span>.
We will create a new approximation by assuming the error is
<span>''exactly''</span> proportional to $$\Delta t$$, according to the
formula
$$y(\overline{t})-E_{\Delta t} =K\Delta t.$$
Using our earlier results from the initial value problem $$dy/dt = y$$ and
$$y(0)=1$$ with $$\Delta t = 0.2$$ and $$\Delta t = 0.1$$, we have
This is a system of two linear equations in the unknowns $$y(1)$$
and $$K$$. Solve this system to find a new approximation for $$y(1)$$. (You
may remember that the exact value is $$y(1) = e =
2.71828\ldots.$$)
Use the other data, $$E_{0.05} = 2.6533$$ and $$E_{0.025} = 2.6851$$
to do similar work as in (a) to obtain another approximation. Which
gives the better
approximation? Why do you think this is?
Let’s now study the initial value problem
$$\frac{dy}{dt} = t-y, \ y(0) = 0.$$
Approximate $$y(0.3)$$ by applying Euler’s method to find
approximations $$E_{0.1}$$ and $$E_{0.05}$$. Now use the idea of
accelerated convergence to obtain a better approximation. (For the sake
of comparison, you want to note that the actual value is $$y(0.3) =
0.0408$$.)
In this problem, we’ll modify Euler’s method to obtain better
approximations to solutions of initial value problems. This method is
called the <span>''Improved Euler’s method.''</span>
In Euler’s method, we walk across an interval of width $$\Delta t$$
using the slope obtained from the differential equation at the
left endpoint of the interval. Of course, the slope of the
solution will most likely change over this interval. We can
improve our approximation by trying to incorporate the change in
the slope over the interval.
Let’s again consider the initial value problem $$dy/dt = y$$ and
$$t=0$$, the differential equation tells us that the slope is 1, and
the approximation we obtain from Euler’s method is that
$$y(0.2)\approx y_1= 1+ 1(0.2)= 1.2$$.
This gives us some idea for how the slope has changed over the
interval $$0\leq t\leq 0.2$$. We know the slope at $$t=0$$ is 1,
while the slope at $$t=0.2$$ is 1.2, trusting in the Euler’s method
approximation. We will therefore refine our estimate of the
initial slope to be the average of these two slopes; that is, we will
estimate the slope to be $$(1+1.2)/2 = 1.1$$. This gives the
new approximation $$y(1) = y_1 = 1 + 1.1(0.2) = 1.22$$.
The first few steps look like this:
$$t_i$$ & $$y_i$$ & Slope at $$(t_{i+1},y_{i+1})$$ & Average slope\
0.0&1.0000&1.2000&1.1000\
0.2&1.2200&1.4640&1.3420\
0.4&1.4884&1.7861&1.6372\
& & &\
Continue with this method to obtain an approximation for $$y(1) =
e$$.
Repeat this method with $$\Delta t = 0.1$$ to obtain a better
approximation for $$y(1)$$.
We saw that the error in Euler’s method is proportional to
$$\Delta t$$. Using your results from parts (a) and (b), what power
of $$\Delta t$$ appears to be proportional to the error in the Improved
Euler’s Method?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that the population of a town is increases by 3% every year.
''a)'' Let $$P(t)$$ be the population of the town in year $$t$$. Write a differential equation that describes the annual growth rate.
''b)'' Find the solutions of this differential equation.
''c)'' If you know that the town’s population in year 0 is 10,000, find the population $$P(t)$$.
''d)'' How long does it take for the population to double? This time is called the <span>''doubling time''</span>.
''e)'' Working more generally, find the doubling time if the annual growth rate is $$k$$ times the population,
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose that a cup of coffee is initially at a temperature of 105$$^\circ$$ and is placed in a 75$$^\circ$$ room. Newton’s law of cooling says that
$$\frac{dT}{dt} = -k(T-75),$$
where $$k$$ is a constant of proportionality.
''a)'' Suppose you measure that the coffee is cooling at one degree per minute at the time the coffee is brought into the room. Determine the value of the constant $$k$$.
''b)'' Find all the solutions of this differential equation.
''c)'' What happens to all the solutions as $$t\to\infty$$? Explain how this agrees with your intuition.
''d)'' What is the temperature of the cup of coffee after 20 minutes?
''e)'' How long does it take for the coffee to cool down to 80$$^\circ$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Solve each of the following differential equations or initial value problems.
''a)''
$$ \frac{dy}{dt} - (2-t) y = 2-t$$
''b)''
$$ \frac{1}{t} \frac{dy}{dt} = e^{t^2-2y}$$
''c)''
$$y' = 2y+2$$, $$y(0)=2$$
''d)''
$$y' = 2y^2$$, $$y(-1) = 2$$
''e)''
$$ \frac{dy}{dt} = \frac{-2ty}{t^2 + 1}$$, $$y(0) = 4$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
In this preview activity, we explore whether certain differential equations are separable or not, and then revisit some key ideas from earlier work in integral calculus.
''a)'' Which of the following differential equations are separable? If the
equation is separable, write the equation in the revised form
$$g(y) \frac{dy}{dt} = h(t)$$.
''1.'' $$ \frac{dy}{dt} = -3y$$.
''2.'' $$\frac{dy}{dt} = ty - y$$
''3.'' $$ \frac{dy}{dt} = t + 1$$.
''4.'' $$ \frac{dy}{dt} = t^2 - y^2$$.
''b)'' Explain why any autonomous differential equation is guaranteed to be
separable.
''c)'' Why do we include the term “$$+C$$” in the expression
$$\int x~dx =
\frac{x^2}{2} + C?$$
''d)'' Suppose we know that a certain function $$f$$ satisfies the equation $$
$$ \int f'(x) dx = x dx. $$
What can you conclude about $$f$$?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' The mass of a radioactive sample decays at a rate that is
proportional to its mass.
''a)'' Express this fact as a differential equation for the mass
$$M(t)$$ using $$k$$ for the constant of proportionality.
''b)'' If the initial mass is $$M_0$$, find an expression for the mass $$M(t)$$.
''c)'' The ''half-life'' of the sample is the amount of time
required for half of the mass to decay. Knowing that the
half-life of Carbon-14 is 5730 years, find the value of $$k$$ for a sample of Carbon-14.
''d)'' How long does it take for a sample of Carbon-14 to be
reduced to one-quarter its original mass?
''e)'' Carbon-14 naturally occurs in our environment; any
living organism takes in Carbon-14 when it eats and breathes. Upon
dying, however, the organism no longer takes in Carbon-14.
Suppose that you find remnants of a pre-historic firepit. By
analyzing the charred wood in the pit, you determine that the
amount of Carbon-14 is only 30\% of the amount in living trees.
Estimate the age of the firepit.\footnote{This approach is the basic idea behind radiocarbon dating.}
''a)'' Consider the initial value problem
$$ \frac{dy}{dt} = -\frac ty, \ y(0) = 8$$
''a)'' Find the solution of the initial value problem and sketch its
graph.
''b)'' For what values of $$t$$ is the solution defined?
''c)'' What is the value of $$y$$ at the last time that the
solution is defined?
''d)'' By looking at the differential equation, explain why we
should not expect to find solutions with the value of $$y$$ you noted in (c).
''3.'' Suppose that a cylindrical water tank with a hole in the
bottom is filled with water. The water, of course, will leak out
and the height of the water will decrease. Let $$h(t)$$ denote the
height of the water. A physical principle called {\em Torricelli's
Law} implies that the height decreases at a rate proportional to
the square root of the height.
''a)'' Express this fact using $$k$$ as the constant of
proportionality.
''b)'' Suppose you have two tanks, one with $$k=1$$ and another with
$$k=10$$. What physical differences would you expect to find?
''c)'' Suppose you have a tank for which the height decreases at 20
inches per minute when the water is filled to a depth of 100
inches. Find the value of $$k$$.
''d)'' Solve the initial value problem for the tank in part (c), and graph the solution you determine.
''e)'' How long does it take for the water to run out of the tank?
''f)'' Is the solution that you found valid for all time $$t$$? If
so, explain how you know this. If not, explain why not.
''4.'' The ''Gompertz equation'' is a model that is used to
describe the growth of certain populations. Suppose that $$P(t)$$
is the population of some organism and that
$$ \frac{dP}{dt} = -P\ln\left(\frac P3\right) = -P(\ln P - \ln 3).
$$
''a)'' Sketch a slope field for $P(t)$ over the range $0\leq P\leq
6$.
''b)'' Identify any equilibrium solutions and determine whether
they are stable or unstable.
''c)'' Find the population $$P(t)$$ assuming that $$P(0) = 1$$ and sketch
its graph. What happens to $$P(t) $$ after a very long time?
''d)'' Find the population $$P(t)$$ assuming that $$P(0) = 6$$ and sketch
its graph. What happens to $$P(t)$$ after a very long time?
''e)'' Verify that the long-term behavior of your solutions agrees
with what you predicted by looking at the slope field.
What is a separable differential equation?
How can we find solutions to a separable differential equation?
Are some of the differential equations that arise in applications
separable?
In <<reference 7.2.Qualitative>> and <<reference 7.3.Euler>>, we have seen several
ways to approximate the solution to an initial value problem. Given the frequency with which differential
equations arise in the world around us, we would like to have some
techniques for finding explicit algebraic solutions of certain initial value problems. In this section, we focus on a particular class of
differential equations (called <span>''separable''</span>) and develop a method for
finding algebraic formulas for solutions to these equations.
A <span>''separable differential equation''</span> is a differential
equation whose algebraic structure permits the variables present to be
separated in a particular way. For instance, consider the equation
We would like to separate the variables $$t$$ and $$y$$ so that all occurrences of $$t$$ appear on the right-hand side, and all occurrences of $$y$$ appears on the left and multiply $$dy/dt$$. We may do this in the
preceding differential equation by dividing both sides by $$y$$:
$$\frac1y\frac{dy}{dt} = t.$$
Note particularly that when we attempt to separate the variables in a
differential equation, we require that the left-hand side be a product
in which the derivative $$dy/dt$$ is one term.
Not every differential equation is separable. For example, if we
consider the equation
it may seem natural to separate it by writing
$$y + \frac{dy}{dt} = t.$$
As we will see, this will not be helpful since the left-hand side is not a product of a function of $$y$$ with $$\frac{dy}{dt}$$.
!!Solving separable differential equations
Before we discuss a general approach to solving a separable differential
equation, it is instructive to consider an example.
---
''Example 7.1.'' Find all functions $$y$$ that are solutions to the differential equation
$$\frac{dy}{dt}= \frac{t}{y^2}.$$
''Solution.'' We begin by separating the variables and writing
$$y^2\frac{dy}{dt} = t.$$
Integrating both sides of the equation with respect to the independent
variable $$t$$ shows that $$
$$\int y^2 \frac{dy}{dt} dt =\int t dt. $$
Next, we notice that the left-hand side allows us to change the variable of antidifferentiation from t to y. In particular, $$dy = \frac{dy}{dt}~dt$$, so we now have $$
$$ \int y^2 dy = \int t dt. $$
This most recent equation says that two families of antiderivatives are equal to one another. Therefore, when we find representative antiderivatives of both sides, we know they must differ by arbitrary constant $$C$$. Antidifferentiating and including the
integration constant $$C$$ on the right, we find that
$$\frac{y^3}{3} = \frac{t^2}{2} + C.$$
Again, note that it is not necessary to include an arbitrary constant on
both sides
of the equation; we know that $$y^3/3$$ and $$t^2/2$$ are in the same
family of antiderivatives and must therefore differ by a single
constant.
Finally, we may now solve the last equation above for $$y$$ as a function
of $$t$$, which gives $$
$$y(t) = ^3\sqrt{\frac{3}{2}t^2+3C} $$
Of course, the term $$3C$$ on the right-hand side represents 3 times an unknown constant. It is, therefore, still an unknown
constant, which we will rewrite as $$C$$. We thus conclude that the
funtion $$
$$y(t) = ^3\sqrt{\frac{3}{2}t^2+C} $$
is a solution to the original differential equation for any value of
$$C$$.
Notice that because this solution depends on the arbitrary constant $$C$$,
we have found an infinite family of
solutions. This makes sense because we expect to find a unique solution
that corresponds to any given
initial value.
For example, if we want to solve the initial value problem
$$\frac{dy}{dt} = \frac{t}{y^2}, y(0) = 2,$$
we know that the solution has the form $$y(t) = ^3\sqrt{\frac{3}{2}t^2+C} $$
for some constant $$C$$. We
therefore must find the appropriate value for $$C$$ that gives the initial value $$y(0)=2$$. Hence, $$
$$2 = y(0) ^3\sqrt{\frac{3}{2}0^2+C} = ^3\sqrt{C}$$
which shows that $$C = 2^3 = 8$$. The solution to the initial value
problem is then $$
$$y(t) = ^3\sqrt{\frac{3}{2}t^2+8 }$$
The strategy of ''Example 7.1'' may be applied to any differential
equation of the form $$\frac{dy}{dt} = g(y) \cdot h(t)$$, and any
differential equation of this form is said to be ''separable''. We work to
solve a separable differential equation by writing
$$\frac{1}{g(y)} \frac{dy}{dt} = h(t),$$
and then integrating both sides with respect to $$t$$. After integrating,
we strive to solve algebraically for $$y$$ in order to write $$y$$ as a
function of $$t$$.
We consider one more example before doing further exploration in some
activities.
---
''Example 7.2.'' Solve the differential equation
''Solution.'' Following the same strategy as in ''Example 7.1'', we have
$$\frac 1y \frac{dy}{dt} = 3.$$
Integrating both sides with respect to $$t$$,
$$\int \frac 1y\frac{dy}{dt}~dt = \int 3~dt,$$
$$\int \frac 1y~dy = \int 3~dt.$$
Antidifferentiating and including the integration constant, we find that
Finally, we need to solve for $$y$$. Here, one point deserves careful attention. By the definition of the natural logarithm function, it
follows that
$$|y| = e^{3t+C} = e^{3t}e^C.$$
Since $$C$$ is an unknown constant, $$e^C$$ is as well, though we do know that it is positive (because $$e^x$$ is positive for any $$x$$). When we remove the absolute value in order to solve for $$y$$, however,
this constant may be either positive or negative. We will denote this updated constant (that accounts for a possible $$+$$ or
$$-$$) by $$C$$ to obtain
There is one more slightly technical point to make. Notice that $$y=0$$ is an equilibrium solution to this differential equation. In solving the equation above, we begin by dividing both sides by $$y$$, which is not allowed if $$y=0$$. To be perfectly careful, therefore, we will
typically consider the equilibrium solutions separably. In this case, notice that
the final form of our solution captures the equilibrium solution by allowing
$$C=0$$.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A separable differential equation is one that may be rewritten with all occurrences of the dependent variable multiplying the derivative and all occurrences of the independent variable on the other side of the equation.
* We may find the solutions to certain separable differential equations by separating variables, integrating with respect to $$t$$, and ultimately solving the resulting algebraic equation for $$y$$.
* This technique allows us to solve many important differential equations that arise in the world around us. For instance, questions of growth and decay and Newton’s Law of Cooling give rise to separable differential equations. Later, we will learn in <<reference 7.6.Logistic>>
that the important logistic differential equation is also separable.
proportional to its mass.
Express this fact as a differential equation for the mass
$$M(t)$$ using $$k$$ for the constant of proportionality.
If the initial mass is $$M_0$$, find an expression for the mass $$M(t)$$.
The <span>''half-life''</span> of the sample is the amount of time
required for half of the mass to decay. Knowing that the
half-life of Carbon-14 is 5730 years, find the value of $$k$$ for
How long does it take for a sample of Carbon-14 to be
reduced to one-quarter its original mass?
Carbon-14 naturally occurs in our environment; any
living organism takes in Carbon-14 when it eats and breathes. Upon
dying, however, the organism no longer takes in Carbon-14.
Suppose that you find remnants of a pre-historic firepit. By
analyzing the charred wood in the pit, you determine that the
amount of Carbon-14 is only 30% of the amount in living trees.
Estimate the age of the firepit.[^1]
[^1]: This approach is the basic idea behind radiocarbon dating.
Consider the initial value problem
$$\frac{dy}{dt} = -\frac ty, \ y(0) = 8$$
Find the solution of the initial value problem and sketch its graph.
For what values of $$t$$ is the solution defined?
What is the value of $$y$$ at the last time that the
By looking at the differential equation, explain why we
should not expect to find solutions with the value of $$y$$ you noted in
(c).
Suppose that a cylindrical water tank with a hole in the bottom is
filled with water. The water, of course, will leak out
and the height of the water will decrease. Let $$h(t)$$ denote the
Express this fact using $$k$$ as the constant of
Suppose you have two tanks, one with $$k=1$$ and another with
$$k=10$$. What physical differences would you expect to find?
Suppose you have a tank for which the height decreases at 20
inches per minute when the water is filled to a depth of 100
inches. Find the value of $$k$$.
Solve the initial value problem for the tank in part (c), and graph the
solution you determine.
How long does it take for the water to run out of the tank?
Is the solution that you found valid for all time $$t$$? If
so, explain how you know this. If not, explain why not.
The <span>''Gompertz equation''</span> is a model that is used to
describe the growth of certain populations. Suppose that $$P(t)$$
is the population of some organism and that $$
Sketch a slope field for $$P(t)$$ over the range $$0\leq P\leq
6$$.
Identify any equilibrium solutions and determine whether
they are stable or unstable.
Find the population $$P(t)$$ assuming that $$P(0) = 1$$ and sketch
its graph. What happens to $$P(t)$$ after a very long time?
Find the population $$P(t)$$ assuming that $$P(0) = 6$$ and sketch
its graph. What happens to $$P(t)$$ after a very long time?
Verify that the long-term behavior of your solutions agrees
with what you predicted by looking at the slope field.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Suppose you have a bank account that grows by 5% every year. Let $$A(t)$$ be the amount of money in the account in year $$t$$.
''a)'' What is the rate of change of $$A$$?
''b)'' Suppose that you are also withdrawing $10,000 per year. Write a differential equation that expresses the total rate of change of $$A$$.
''c)'' Sketch a slope field for this differential equation, find any equilibrium solutions, and identify them as either stable or unstable.
''d)'' Suppose that you initially deposit $100,000 into the account. How long does it take for you to deplete the account?
''e)'' What is the smallest amount of money you would need to have in the account to guarantee that you never deplete the money in the account?
''f)'' If your initial deposit is $300,000, how much could you withdraw every year without depleting the account?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
A dose of morphine is absorbed from the bloodstream of a patient at a rate proportional to the amount in the bloodstream.
''a)''
Write a differential equation for $$M(t)$$, the amount of morphine in the patient’s bloodstream, using $$k$$ as the constant proportionality.
''b)''
Assuming that the initial dose of morphine is $$M_0$$, solve the initial value problem to find $$M(t)$$. Use the fact that the half-life for the absorption of morphine is two hours to find the constant $$k$$.
''c)''
Suppose that a patient is given morphine intraveneously at the rate of 3 milligrams per hour. Write a differential equation that combines the intraveneous administration of morphine with the body’s natural absorption.
''d)''
Find any equilibrium solutions and determine their stability.
''e)''
Assuming that there is initially no morphine in the patient’s bloodstream, solve the initial value problem to determine $$M(t)$$. What happens to $$M(t)$$ after a very long time?
''f)''
Suppose that a doctor asks you to reduce the intraveneous rate so that there is eventually 7 milligrams of morphine in the patient’s body. To what rate would you reduce the intraveneous flow?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Suppose you have a bank account that grows by 5% every year.
Let $$A(t)$$ be the amount of money in the account in year $$t$$.
What is the rate of change of $$A$$?
Suppose that you are also withdrawing \$$10,000 per year. Write
a differential equation that expresses the total rate of change of $$A$$.
Sketch a slope field for this differential equation, find
any equilibrium solutions, and identify them as either stable or
Suppose that you initially deposit \$$9500 into the account. How
long does it take for you to deplete the account?
What is the smallest amount of money you would need to have in
the account to guarantee that you never deplete the money in the
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
absorbed from the bloodstream of a patient at a rate
proportional to the amount in the bloodstream.
Write a differential equation for $$M(t)$$, the amount of
morphine in the patient’s bloodstream, using $$k$$ as the
constant proportionality.
Assuming that the initial dose of morphine is $$M_0$$,
solve the initial value problem to find $$M(t)$$. Use the
fact that the half-life for the absorption of morphine is
two hours to find the constant $$k$$.
Suppose that a patient is given morphine intraveneously
at the rate of 3 milligrams per hour. Write a differential
equation that combines the intraveneous administration of
morphine with the body’s natural absorption.
Find any equilibrium solutions and determine their stability.
Assuming that there is initially no morphine in the
patient’s bloodstream, solve the initial value problem to
What happens to $$M(t)$$ after a very long time?
Suppose that a doctor asks you to reduce the
intraveneous rate so that there is eventually 7 milligrams
of morphine in the patient’s body. To what rate would you reduce
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' Congratulations, you just won the lottery! In one option
presented to you, you will be paid one million dollars a year for
the next 25 years. You can deposit this money in an account that
will earn 5% each year.
''a)'' Set up a differential equation that describes the rate of
change in the amount of money in the account. Two factors cause
the amount to grow---first, you are depositing one millon dollars
per year and second, you are earning 5% interest.
''b)'' If there is no amount of money in the account when you open
it, how much money will you have in the account after 25 years?
''c)'' The second option presented to you is to take a lump sum of 10
million dollars, which you will deposit into a similar account. How
much money will you have in that account after 25 years?
''d)'' Do you prefer the first or second option? Explain your thinking.
''e)'' At what time does the amount of money in the account under the
first option overtake the amount of money in the account under the
second option?
''2.'' When a skydiver jumps from a plane, gravity causes
her downward velocity to increase at the rate of $$g\approx 9.8$$
meters per second squared. At the same time, wind resistance
causes her velocity to decrease at a rate proportional to the
velocity.
''a)'' Using $$k$$ to represent the constant of proportionality,
write a differential equation that describes the rate of change
of the skydiver's velocity.
''b)'' Find any equilibrium solutions and decide whether they are
stable or unstable. Your result should depend on $$k$$.
''c)'' Suppose that the initial velocity is zero. Find the
velocity $$v(t)$$.
''d)'' A typical terminal velocity for a skydiver falling face
down is 54 meters per second. What is the value of $$k$$ for
this skydiver?
''e)'' How long does it take to reach 50% of the terminal
velocity?
''3.'' During the first few years of life, the rate at which a baby
gains rate is proportional to the reciprocal of its weight.
''a)'' Express this fact as a differential equation.
''b)'' Suppose that a baby weighs 8 pounds at birth and 9 pounds
one month later. How much will he weigh at one year?
''c)'' Do you think this is a realistic model for a long time?
''4.'' Suppose that you have a water tank that holds 100 gallons of water.
A briny solution, which contains 20 grams of salt per gallon, enters
the tank at the rate of 3 gallons per minute.
At the same time, the solution is well mixed, and water is pumped
out of the tank at the rate of 3 gallons per minute.
''a)'' Since 3 gallons enters the tank every minute and 3 gallons
leaves every minute, what can you conclude about the volume of water
in the tank.
''b)'' How many grams of salt enters the tank every minute?
''c)'' Suppose that $$S(t)$$ denotes the number of grams of salt in the
tank in minute $$t$$. How many grams are there in each gallon in
minute $$t$$?
''d)'' Since water leaves the tank at 3 gallons per minute, how many
grams of salt leave the tank each minute?
''e)'' Write a differential equation that expresses the total rate of
change of $$S$$.
''f)'' Identify any equilibrium solutions and determine whether they
are stable or unstable.
''g)'' Suppose that there is initially no salt in the tank. Find the
amount of salt $$S(t)$$ in minute $$t$$.
''h)'' What happens to $$S(t)$$ after a very long time? Explain how you
could have predicted this only knowing how much salt there is in
each gallon of the
briny solution that enters the tank.
How can we use differential equations to describe phenomena in the world around us?
How can we use differential equations to better understand these phenomena?
In our work to date, we have seen several ways that differential equations arise in the natural world, from the growth of a population to the temperature of a cup of coffee. In this section, we will look more closely at how differential equations give us a natural way to describe various phenoma. As we’ll see, the key is to focus on understanding the different factors that cause a quantity to change.
!!Developing a differential equation
<<reference 7.5.PA1>> demonstrates the kind of thinking we will be doing in this section. In each of the two examples we considered, there
is a quantity, such as the amount of money in the bank account or the amount of salt in the tank, that is changing due to several factors. The governing differential equation results from the total rate of
change being the difference between the rate of increase and the rate of decrease.
''Example 7.3.'' In the Great Lakes region, rivers flowing into the lakes carry a great deal of pollution in the form of small pieces of plastic averaging 1 millimeter in diameter. In order to understand how the amount of plastic in Lake Michigan is changing, construct a model for how this
type pollution has built up in the lake.
''Solution.'' First, some basic facts about Lake Michigan.
* The volume of the lake is 5 · 1012 cubic meters.
* Water flows into the lake at a rate of $$5\cdot10^{10}$$ cubic meters per year. It flows out of the lake at the same rate.
* Each cubic meter flowing into the lake contains roughly $$3\cdot10^{-8}$$ cubic meters of plastic pollution.
Let’s denote the amount of pollution in the lake by $$P(t)$$, where $$P$$ is measured in cubic meters of plastic and $$t$$ in years. Our goal is to describe the rate of change of this function; in other words, we want to develop a differential equation describing $$P(t)$$.
First, we will measure how $$P(t)$$ increases due to pollution flowing into the lake. We know that $$5\cdot10^{10}$$ cubic meters of water enters the lake every year and each cubic meter of water contains $$3\cdot10^{-8}$$ cubic meters of pollution. Therefore, pollution enters the lake at the rate of
$$(5\cdot 10^{10} \frac{m^3 {\ water}}{{year}}) \cdot \left(3\cdot10^{-8} \frac{m^3 {\ plastic}}{m^3 {\ water}} \right) = 1.5\cdot 10^3\quad$$
cubic ''m'' of plastic per year
Second, we will measure how $$P(t)$$ decreases due to pollution flowing out of the lake. If the total amount of pollution is $$P$$ cubic meters and the volume of Lake Michigan is $$5\cdot 10^{12}$$ cubic meters, then the concentration of plastic pollution in Lake Michigan is
$$\frac{P}{5\cdot10^{12}} \quad$$ cubic meters of plastic per cubic meter of water
Since $$5\cdot10^{10}$$ cubic meters of water flow out each year <<footnote [6] "and we assume that each cubic meter of water that flows out
carries with it the plastic pollution it contains
">>, then the plastic pollution leaves the lake at the rate of
$$\left(\frac{P}{5\cdot10^{12}} \frac{m^3 {\ plastic}}{m^3 {\ water}} \right) \cdot \left(5\cdot10^{10} \frac{m^3 {\ water}}{{year}} \right)=\frac{P}{100}
\quad $$cubic meters of plastic
per year
The total rate of change of $$P$$ is thus the difference between the rate
at which pollution enters the lake minus the rate at which pollution leaves the
lake; that is,
<center>
<table class="equationtable">
<tr><td> $$\frac{dP}{dt} $$
</td><td>= $$1.5 \cdot 10^3 - \frac{P}{100} $$ </td></tr>
<tr><td></td><td>= $$\frac{1}{100}(1.5 \cdot 10^5 - P) $$
</td></tr>
We have now found a differential equation that describes the rate at which the amount of pollution is changing. To better understand the behavior of $$P(t)$$, we now apply some of the techniques we have recently developed.
Since this is an autonomous differential equation, we can sketch $$dP/dt$$ as a function of $$P$$ and then construct a slope field, as shown
in <<figreference 7_5>>.
These plots both show that $$P = 1.5 \cdot 105$$ is a stable equilibrium. Therefore, we should expect that the amount of pollution in Lake Michigan will stabilize near $$1.5\cdot10^5$$ cubic meters of pollution.
Next, assuming that there is initially no pollution in the lake, we will solve the initial value problem
$$\frac{dP}{dt} = \frac{1}{100}(1.5\cdot10^{5} - P), \ P(0) = 0.$$
Separating variables, we find that
$$\frac1{1.5\cdot10^5-P} \frac{dP}{dt} = \frac1{100}.$$
Integrating with respect to $$t$$, we have
$$\int \frac1{1.5\cdot10^5-P} \frac{dP}{dt}~dt = \int \frac1{100}~dt,$$
and thus changing variables on the left and antidifferentiating on both
sides, we find that
<center>
<table class="equationtable">
<tr><td> $$\int \frac{dP}{1.5 \cdot 10^5 - P} $$
</td><td>= $$\int \frac{1}{100}dt $$ </td></tr>
<tr><td>$$ - \ln|1.5 \cdot10^5| $$</td><td>= $$\frac{1}{100}t+C $$
</td></tr>
Finally, multiplying both sides by $$-1$$ and using the definition of the
logarithm, we find that
$$ 1.5 \cdot 10^5 - P = Ce^{\frac{-t}{100}}$$
This is a good time to determine the constant $$C$$. Since $$P = 0$$ when $$t = 0$$, we have
$$1.5 \cdot 10^5 - 0 = Ce^0 = C.$$
In other words, $$C=1.5\cdot10^5$$.
Using this value of $$C$$ in Equation ([E:7.5.Ex1C]) and solving for $$P$$,
we arrive at the solution
$$P(t) = 1.5\cdot10^5(1-e^{-t/100}).$$
Superimposing the graph of $$P$$ on the slope field we saw in
<<figreference 7_5>>, we see, as shown in <<figreference 7_5_solution.svg>>. We see that, as expected, the amount of plastic pollution stabilizes
around $$1.5\cdot10^5$$ cubic meters.
<<figure 7_5_solution.svg>>
There are many important lessons to learn from ''Example 7.3''.
Foremost is how we can develop a differential equation by thinking about
the “total rate = rate in - rate out” model. In addition, we note how we
can bring together all of our available understanding (plotting
$$\frac{dP}{dt}$$ vs. $$P$$, creating a slope field, solving the
differential equation) to see how the differential equation describes
the behavior of a changing quantity.
Of course, we can also explore what happens when certain aspects of the
problem change. For instance, let’s suppose we are at a time when the
plastic pollution entering Lake Michigan has stabilized at $$1.5\cdot10^5$$ cubic meters, and that new legislation is passed to prevent this type of pollution entering the lake. So, there is
no longer any inflow of plastic pollution to the lake. How does the
amount of plastic pollution in Lake Michigan now change? For example,
how long does it take for the amount of plastic pollution in the lake to
halve?
Restarting the problem at time $$t=0$$, we now have the modified initial
value problem
$$\frac{dP}{dt} = -\frac{1}{100}P, \ P(0) = 1.5\cdot10^5.$$
It is a straightforward and familiar exercise to find that the solution to this equation is $$P(t) = 1.5 \cdot 105e-t/100$$. The time that it takes for half of the pollution to flow out of the lake is given by $$T$$ where $$P(T) = 0.75\cdot10^5$$. Thus, we
must solve the equation
$$0.75\cdot10^5 = 1.5\cdot10^5e^{-T/100},$$
$$\frac12 = e^{-T/100}.$$
$$T = -100 \ln \frac{1}{2} \approx 69.3 \quad$$ years
In the upcoming activities, we explore some other natural settings in
which differential equation model changing quantities.
!!Summary
---
In this section, we encountered the following important ideas:
---
* Differential equations arise in a situation when we understand how various factors cause a quantity to change.
* We may use the tools we have developed so far—slope fields, Euler’s methods, and our method for solving separable equations—to understand a quantity described by a differential equation.
Any time that the rate of change of a quantity is related to the amount
of a quantity, a differential equation naturally arises. In the
following two problems, we see two such scenarios; for each, we want to
develop a differential equation whose solution is the quantity of
interest.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Any time that the rate of change of a quantity is related to the amount
of a quantity, a differential equation naturally arises. In the
following two problems, we see two such scenarios; for each, we want to
develop a differential equation whose solution is the quantity of
interest.
''a)'' Suppose you have a bank account in which money grows at an annual rate of 3%.
''i.'' If you have $10,000 in the account, at what rate is your money growing?
''ii.'' Suppose that you are also withdrawing money from the account at $1,000 per year. What is the rate of change in the amount of money in the account? What are the units on this rate of change?
''b)'' Suppose that a water tank holds 100 gallons and that a salty solution, which contains 20 grams of salt in every gallon, enters the tank at 2 gallons per minute.
''i.'' How much salt enters the tank each minute?
''ii.'' Suppose that initially there are 300 grams of salt in the tank. How much salt is in each gallon at this point in time?
''iii.'' Finally, suppose that evenly mixed solution is pumped out of the tank at
the rate of 2 gallons per minute. How much salt leaves the tank each minute?
''iv.'' What is the total rate of change in the amount of salt in the tank?
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Suppose you have a bank account that grows by 5% every year; that
is, the annual growth rate is 1.05 times the amount of money in the
Let $$A(t)$$ be the amount of money in the account in year $$t$$.
What is the rate of change of $$A$$?
Suppose that you are also withdrawing \$$10,000 per year. Write
a differential equation that expresses the total rate of change of $$A$$.
Sketch a slope field for this differential equation, find
any equilibrium solutions, and identify them as either stable or
Suppose that you initially deposit \$$9500 into the account. How
long does it take for you to deplete the account?
What is the smallest amount of money you would need to have in
the account to guarantee that you never deplete the money in the
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Suppose that you have a water tank that holds 100 gallons of water.
A briny solution, which contains 20 grams of salt per gallon, enters
the tank at the rate of 3 gallons per minute.
At the same time, the solution is well mixed, and water is pumped
out of the tank at the rate of 3 gallons per minute.
Since 3 gallons enters the tank every minute and 3 gallons
leaves every minute, what can you conclude about the volume of water
How many grams of salt enters the tank every minute?
Suppose that $$S(t)$$ denotes the number of grams of salt in the
tank in minute $$t$$. How many grams are there in each gallon in
Since water leaves the tank at 3 gallons per minute, how many
grams of salt leave the tank each minute?
Write a differential equation that expresses the total rate of
Identify any equilibrium solutions and determine whether they
Suppose that there is initially no salt in the tank. Find the
amount of salt $$S(t)$$ in minute $$t$$.
What happens to $$S(t)$$ after a very long time? Explain how you
could have predicted this only knowing how much salt there is in
briny solution that enters the tank.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
Any time that the rate of change of a quantity is related to the amount
of a quantity, a differential equation naturally arises. In the
following two problems, we see two such scenarios; for each, we want to
develop a differential equation whose solution is the quantity of
interest.
Suppose you have a bank account in which money grows at an
If you have \$$10,000 in the account, at what rate is your
Suppose that you are also withdrawing money from the account
at \$$1,000 per year. What is the rate of change in the amount
of money in the account? What are the units on this rate of change?
Suppose that a water tank holds 100 gallons and that a salty
solution, which contains 20 grams of salt in every gallon, enters the
tank at 2 gallons per minute.
How much salt enters the tank each minute?
Suppose that initially there are 300 grams of salt in the tank. How
much salt is in each gallon at this point in time?
Finally, suppose that evenly mixed solution is pumped out of the tank at
the
rate of 2 gallons per minute. How much salt leaves the tank
What is the total rate of change in the amount of salt in
Any time that the rate of change of a quantity is related to the amount
of a quantity, a differential equation naturally arises. In the
following two problems, we see two such scenarios; for each, we want to
develop a differential equation whose solution is the quantity of
interest.
The growth of the earth's population is one of the pressing issues of
our time. Will the population continue to grow? Or will it perhaps
level off at some point, and if so, when? In this section, we
will look at two ways in which we may use differential equations to
help us address questions such as these.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Our first model will be based on the following assumption:
''The rate of change of the population is proportional to the
population.''
On the face of it, this seems pretty reasonable. When there is a
relatively small number of people, there will be fewer births and
deaths so the rate of change will be small. When there is a larger
number of people, there will be more births and deaths so we expect
a larger rate of change.
If $$P(t)$$ is the population $$t$$ years after the year 2000, we may
express this assumption as
where $$k$$ is a constant of proportionality.
''a)'' Use the data in the table to estimate the derivative $P'(0)$
using a central difference. Assume that $t=0$ corresponds to the
year 2000.
''b)'' What is the population $P(0)$?
''c)'' Use these two facts to estimate the constant of proportionality
$k$ in the differential equation.
''d)'' Now that we know the value of $$k$$, we have the initial
value problem
$$ \frac{dP}{dt} = kP, \ P(0) = 6.084.$$
Find the solution to this initial value problem.
''e)'' What does your solution predict for the population in the year
2010? Is this close to the actual population given in the table?
''f)'' When does your solution predict that the population will reach
12 billion?
''g)'' What does your solution predict for the population in the year
2500?
''h)'' Do you think this is a reasonable model for the earth's
population? Why or why not? Explain your thinking using a couple
of complete sentences.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the logistic equation
$$\frac{dP}{dt} = kP(N-P)$$
with the graph of $$\frac{dP}{dt}$$ vs. $$P$$ shown below.
<<figure 7_6_activity_2.svg>>
''a)'' At what value of $$P$$ is the rate of change greatest?
''b)'' Consider the model for the earth’s population that we created. At what value of $$P$$ is the rate of change greatest? How does that compare to the population in recent years?
''c)'' According to the model we developed, what will the population be in the year 2100?
''d)'' According to the model we developed, when will the population reach 9 billion?
''e)'' Now consider the general solution to the general logistic initial value
problem that we found, given by
$$P(t) = \frac{N}{\left(\frac{N-P_0}{P_0}\right)e^{-kNt} + 1}.$$
Verify algebraically that $$P(0) = P_0$$ and that
$$\lim_{t\to\infty} P(t) = N$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' The logistic equation may be used to model how a rumor spreads through a group of people. Suppose that $$p(t)$$ is the fraction of
people that have heard the rumor on day $$t$$. The equation
$$ \frac{dp}{dt} = 0.2p(1-p) $$
describes how $$p$$ changes. Suppose initially that one-tenth of
the people have heard the rumor; that is, $$p(0) = 0.1$$.
''a)'' What happens to $$p(t)$$ after a very long time?
''b)'' Determine a formula for the function $$p(t)$$.
''c)'' At what time is $$p$$ changing most rapidly?
''d)'' How long does it take before 80% of the people have heard
the rumor?
''2.'' Suppose that $$b(t)$$ measures the number of bacteria living in
a colony in a Petri dish, where $$b$$ is measured in thousands and
$$t$$ is measured in days. One day, you measure that there are
6,000 bacteria and the per capita growth rate is 3. A few days
later, you measure that there are 9,000 bacteria and the per
capita growth rate is 2.
''a)'' Assume that the per capita growth rate
$$\frac{db/dt}{b}$$ is a linear function of $$b$$. Use the
measurements to find this function and write a logistic equation
to describe $$\frac{db}{dt}$$.
''b)'' What is the carrying capacity for the bacteria?
''c)'' At what population is the number of bacteria increasing most
rapidly?
''d)'' If there are initially 1,000 bacteria, how long will it take
to reach 80% of the carrying capacity?
''3.'' Suppose that the population of a species of fish is controlled by
the logistic equation
$$ \frac{dP}{dt} = 0.1P(10 - P), $$
where $$P$$ is measured in thousands of fish and $$t$$ is measured in
years.
''a)'' What is the carrying capacity of this population?
''b)'' Suppose that a long time has passed and that the fish
population is stable at the carrying capacity. At this time,
humans begin harvesting 20% of the fish every year. Modify the
differential equation by adding a term to incorporate the
harvesting of fish.
''c)'' What is the new carrying capacity?
''d)'' What will the fish population be one year after the
harvesting begins?
''e)'' How long will it take for the population to be within 10%
of the carrying capacity?
How can we use differential equations to realistically model the growth of a
population?
How can we assess the accuracy of our models?
The growth of the earth's population is one of the pressing issues of
our time. Will the population continue to grow? Or will it perhaps
level off at some point, and if so, when? In this section, we
will look at two ways in which we may use differential equations to
help us address questions such as these.
Before we begin, let's consider again two important differential
equations that we have seen in earlier work this chapter.
We will now begin studying the earth's population. To get started,
here are some data for the earth's population in recent years that we
will use in our investigations.
Our work in <<reference 7.6.Act1>> shows that that the exponential model is fairly accurate for years
relatively close to 2000. However, if we go too far into the
future, the model predicts increasingly large rates of change, which
causes the population to grow arbitrarily large. This does not make
much sense since it is unrealistic to expect that the earth would be able to support
such a large population.
The constant $$k$$ in the differential equation has an important
interpretation. Let's rewrite the differential equation $$\frac{dP}{dt} = kP$$ by solving for $$k$$, so that we have
$$k = \frac{dP/dt}{P}.$$
Viewed in this light, $$k$$ is the ratio of the rate of change to the
population; in other words, it is the contribution to the rate of change
from a single person. We call this the ''per capita
growth rate''
In the exponential model we introduced in <<reference 7.6.Act1>>, the per capita growth rate is
constant. In particular, we are assuming that when the population is
large, the per capita growth rate is the same as when the population
is small. It is natural to think that the per capita growth rate should
decrease when the population becomes large, since there will not be
enough resources to support so many people. In other words, we expect that a more realistic model would hold if we assume
that the per capita growth rate depends on the population $$P$$.
In the previous activity, we computed the per capita growth rate in a
single year by computing $$k$$, the quotient of $$\frac{dP}{dt}$$ and $$P$$ (which we did for $$t = 0$$). If we return data and compute the per capita
growth rate over a range of years, we generate the data shown in <<figreference 7_6_census.svg>>, which shows how the per capita growth rate is a function of the population, $$P$$.
<<figure 7_6_census.svg>>
From the data, we see that the per capita growth rate appears to decrease as
the population increases. In fact, the points seem to lie very close
to a line, which is shown at two different scales in <<figreference 7_6_census_1.svg>>
<<figure 7_6_census_1.svg>>
<<figure 7_6_census_2.svg>>
Looking at this line carefully, we can find its equation to be
$$
$$\frac{dP/dt}{P} = 0.025 - 0.002P.$$
If we multiply both sides by $$P$$, we arrive at the differential
equation
$$ \frac{dP}{dt} = P(0.025 - 0.002P).$$
Graphing the dependence of $$dP/dt$$ on the population $$P$$, we see that this differential equation demonstrates a quadratic relationship between $$\frac{dP}{dt}$$ and $$P$$, as shown in <<figreference 7_6_logistic_de.svg>>
<<figure 7_6_logistic_de.svg>>
The equation $$\frac{dP}{dt} = P(0.025 - 0.002P)$$ is an example of the ''logistic equation'',
and is the second model for population growth that we will consider. We
have reason to believe that it will be more realistic since the per
capita growth rate is a decreasing function of the population.
Indeed, the graph in <<figreference 7_6_logistic_de.svg>> shows that there are two equilibrium
solutions, $$P=0$$, which is unstable, and $$P=12.5$$, which is a stable
equilibrium. The graph shows that any solution with $$P(0) >0$$ will
eventually stabilize around 12.5. In other words, our model predicts
the the world's population will eventually stabilize around 12.5
billion.
A prediction for the long-term behavior of the population is a
valuable conclusion to draw from our differential equation. We would,
however, like to answer some quantitative questions. For instance,
how long will it take to reach a population of 10 billion? To determine this,
we need to find an explicit solution of the equation.
!!Solving the logistic differential equation
Since we would like to apply the logistic model in more general situations, we state the logistic equation\index{logistic equation} in its more general form,
$$\frac{dP}{dt} = kP(N-P).$$
The equilibrium solutions here are when $$P=0$$ and $$1-\frac PN = 0$$,
which shows that $$P=N$$. The equilibrium at $$P=N$$ is called the ''carrying capacity'' of the population for it represents the stable
population that can be sustained by the environment.
We now solve the logistic Equation ''(7.2)''. The equation is separable, so we separate the variables
$$ \frac{1}{P(N-P)}\frac{dP}{dt} = k,$$
and integrate to find that
$$ \int \frac{1}{P(N-P)}dP = \int k dt.$$
To find the antiderivative on the left, we use the partial fraction decomposition
$$ \frac{1}{P(N-P)} = \frac 1N\left[\frac 1P + \frac 1{N-P}\right].$$
Now we are ready to integrate, with
$$ \int \frac 1N\left[\frac 1P + \frac 1{N-P}\right] ~dP = \int k~dt. $$
On the left, observe that $$N$$ is constant, so we can remove the factor of $$\frac{1}{N}$$ and antidifferentiate to find that
$$ \frac 1N (\ln|P| - \ln|N-P|) = kt + C.$$
Multiplying both sides of this last equation by N and using an important rule of logarithms,
we next find that
$$\ln\left|\frac{P}{N-P}\right| = kNt + C.$$
$$\frac{P}{N-P} = Ce^{kNt}.$$
At this point, all that remains is to determine $$C$$ and solve algebraically for $$P$$.
If the initial population is $$P(0) = P_0$$, then it follows that $$C = \frac{P_0}{N-P_0}$$, so
$$\frac{P}{N-P} = \frac{P_0}{N-P_0}e^{kNt}.$$
We will solve this most recent equation for $$P$$$ by multiplying both sides by $$(N-P)(N-P_0)$$ to obtain
<center>
<table class="equationtable">
<tr><td> $$P(N-P_0)$$
</td><td>= $$P_0(N-P)e^{kNt} $$ </td></tr>
<tr><td></td><td>= $$ P_0Ne^{kNt} - P_0Pe^{kNt}$$
</td></tr>
Swapping the left and right sides, expanding, and factoring, it follows that
<center>
<table class="equationtable">
<tr><td> $$P_0Ne^{kNt} $$
</td><td>= $$P(N-P_0) + P_0 Pe^{kNt} $$ </td></tr>
<tr><td></td><td>= $$P(N-P_0 + P_0e^{kNt}) $$
</td></tr>
Dividing to solve for $P$, we see that
$$P = \frac{P_0Ne^{kNt}}{N-P_0 + P_0e^{kNt}}.$$
Finally, we choose to multiply the numerator and denominator by $$\frac{1}{P_0}e^{-kNt}$$
to obtain
$$P(t) = \frac{N}{\left(\frac{N-P_0}{P_0}\right) e^{-kNt} + 1}.$$
While that was a lot of algebra, notice the result: we have
found an explicit solution to the initial value problem
$$ \frac{dP}{dt} = kP(N-P), \ P(0) = P_0, $$
$$ P(t) = \frac{N}{\left(\frac{N-P_0}{P_0}\right) e^{-kNt} + 1}.$$
For the logistic equation describing the earth's population that we worked with earlier in this section, we have
$$k=0.002, \quad N= 12.5, \quad $$ and $$ \quad P_0 = 6.084.$$
$$
P(t) = \frac{12.5}{1.0546e^{-0.025t} + 1},
$$
whose graph is shown in <<figreference 7_6_logistic_sol.svg>>
<<figure 7_6_logistic_sol.svg>>
Notice that the graph shows the population leveling off at 12.5 billion, as
we expected, and that the population will be around 10 billion in the
year 2050. These results, which we have found using a relatively simple
mathematical model, agree fairly well with predictions made using a
much more sophisticated model developed by the United Nations.
The logistic equation is useful in other situations, too, as it is good for modeling any situation in which limited growth is possible. For instance, it could model the spread of a flu virus through a population contained on a cruise ship, the rate at which a rumor spreads within a small town, or the behavior of an animal population on an island. Again, it is important to realize that through our work in this section, we have completely solved the logistic equation, regardless of the values of the constants $$N$$, $$k$$, and $$P_0$$. Anytime we encounter a logistic equation, we can apply the formula we found in ''Equation 7.3''
!!Summary
---
In this section, we encountered the following important ideas:
---
* If we assume that the rate of growth of a population is proportional to the population, we are led to a model in which the population grows without bound and at a rate that grows without bound.
* By assuming that the per capita growth rate decreases as the population grows, we are led to the logistic model of population growth, which predicts that the population will eventually stabilize at the carrying capacity.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Consider the logistic equation $$\frac{dP}{dt} = kP(N-P)$$
with the graph of $$\frac{dP}{dt}$$ vs. $$P$$ shown below.
![image](figures/7_6_activity_2.eps)
At what value of $$P$$ is the rate of change greatest?
Consider the model for the earth’s population that we created.
At what value of $$P$$ is the rate of change greatest? How does that
compare to the population in recent years?
According to the model we developed, what will the population be
According to the model we developed, when will the population
Now consider the general solution to the general logistic initial value
problem that
we found, given by
$$P(t) = \frac{N}{\left(\frac{N-P_0}{P_0}\right)e^{-kNt} + 1}.$$
Verify algebraically that $$P(0) = P_0$$ and that
$$\lim_{t\to\infty} P(t) = N$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Solutions for each of the prompts above.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
''a)'' Recall that one model for population growth states that a population grows at a rate proportional to its size.
$$\frac{dP}{dt} = \frac{1}{2}P $$
Sketch a slope field below as well as a few typical solutions on the
axes provided.
<<figure 7_6_preview.svg>>
''b)'' Find all equilibrium solutions of the equation
$$\frac{dP}{dt} = \frac12 P$$ and classify them as stable or unstable.
''c)'' If $$P(0)$$ is positive, describe the long-term behavior of the solution to $$\frac{dP}{dt} = \frac12 P$$.
''d)'' Let’s now consider a modified differential equation given by
$$\frac{dP}{dt} = \frac 12 P(3-P).$$
As before, sketch a slope field as well as a few typical solutions on
the following axes provided.
<<figure 7_6_preview.svg>>
''e)'' Find any equilibrium solutions and classify them as stable or unstable.
''f)'' If $$P(0)$$ is positive, describe the long-term behavior of the solution.
We begin with the differential equation $$\frac{dP}{dt} = \frac12 P.$$
Sketch a slope field below as well as a few typical solutions on the
axes provided.
![image](figures/7_6_preview.eps)
Find all equilibrium solutions of the equation
$$\frac{dP}{dt} = \frac12 P$$ and classify them as stable or
If $$P(0)$$ is positive, describe the long-term behavior of the
solution to $$\frac{dP}{dt} = \frac12 P$$.
Let’s now consider a modified differential equation given by
$$\frac{dP}{dt} = \frac 12 P(3-P).$$
As before, sketch a slope field as well as a few typical solutions on
the following axes provided.
![image](figures/7_6_preview.eps)
Find any equilibrium solutions and classify them as stable or
If $$P(0)$$ is positive, describe the long-term behavior of the
Differential Equations {#C:7}
======================
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<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Let $$s_n$$ be the $$n$$th term in the sequence $$1, 2, 3, \ldots$$.
Find a formula for $$s_n$$ and use appropriate technological tools to draw
a graph of entries in this sequence by plotting points of the form
$$(n,s_n)$$ for some values of $$n$$. Most graphing calculators can plot
sequences; directions follow for the TI-84.
''o'' In the MODE menu, highlight SEQ in the FUNC line and press ENTER.
''o'' In the Y= menu, you will now see lines to enter sequences. Enter a value
for $$n$$Min (where the sequence starts), a function for $$u(n)$$ (the $$n$$th
term in the sequence), and the value of $$u_{n\text{Min}}$$.
''o'' Set your window coordinates (this involves choosing limits for $$n$$ as
well as the window coordinates XMin, XMax, YMin, and YMax.
''o'' The GRAPH key will draw a plot of your sequence.
Using your knowledge of limits of continuous functions as
$$x \to \infty$$, decide if this sequence $$\{s_n\}$$ has a limit as
$$n \to \infty$$. Explain your reasoning.
''b)'' Let $$s_n$$ be the $$n$$th term in the sequence
$$1, \frac{1}{2}, \frac{1}{3}, \ldots$$. Find a formula for $$s_n$$. Draw a
graph of some points in this sequence. Using your knowledge of limits of
continuous functions as $$x \to \infty$$, decide if this sequence
$$\{s_n\}$$ has a limit as $$n \to \infty$$. Explain your reasoning.
''c)'' Let $$s_n$$ be the $$n$$th term in the sequence
$$2, \frac{3}{2}, \frac{4}{3}, \frac{5}{4}, \ldots$$. Find a formula for
$$s_n$$. Using your knowledge of limits of continuous functions as
$$x \to \infty$$, decide if this sequence $$\{s_n\}$$ has a limit as
$$n \to \infty$$. Explain your reasoning.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
By observation we see that a formula for $$s_n$$ is $$s_n = n$$. A plot of
the first 50 points in the sequence is shown here.
We recalling that a function $$f$$ has a limit $$L$$ at infinity if we can
make the values of $$f(x)$$ as large as we want by choosing $$x$$ as large
as we need. Since we can make the values of $$n$$ in our sequence as large
as we want by choosing $$n$$ to be as large as we need, we suspect that
this sequence does not have a limit as $$n$$ goes to infinity.
By observation we see that a formula for $$s_n$$ is $$s_n = \frac{1}{n}$$. A
plot of the first 50 points in the sequence is shown here.
Since we can make the values of $$\frac{1}{n}$$ in our sequence as close
to 0 as we want by choosing $$n$$ to be as large as we need, we suspect
that this sequence has a limit of 0 as $$n$$ goes to infinity.
Since the numerator is always 1 more than the denominator, a formula for
$$s_n$$ is $$s_n = \frac{n+1}{n}$$. A plot of the first 50 points in the
sequence is shown here.
Since we can make the values of $$\frac{n+1}{n}$$ in our sequence as close
to 1 as we want by choosing $$n$$ to be as large as we need, we suspect
that this sequence has a limit of 1 as $$n$$ goes to infinity.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Recall our earlier work with limits involving infinity in
Section [S:2.8.LHR]. State clearly what it means for a continuous
function $$f$$ to have a limit $$L$$ as $$x \to \infty$$.
''b)'' Given that an infinite sequence of real numbers is a function from the
integers to the real numbers, apply the idea from part (a) to explain
what you think it means for a sequence $$\{s_n\}$$ to have a limit as
$$n \to \infty$$.
''c)'' Based on your response to (b), decide if the sequence
$$\left\{ \frac{1+n}{2+n}\right\}$$ has a limit as $$n \to \infty$$. If so,
what is the limit? If not, why not?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
A continuous function $$f$$ has a limit $$L$$ as the independent variable
$$x$$ goes to infinity if we can make the values of $$f(x)$$ as close to $$L$$
as we want by choosing $$x$$ as large as we need.
We expect that a sequence $$\{s_n\}$$ will have a limit $$L$$ as $$n$$ goes to
infinity if we can make the entries $$s_n$$ in the sequence as close to
$$L$$ as we want by choosing $$n$$ as large as we need.
As $$n$$ gets large, the constant terms become infinitesimally small
compared to $$n$$ and so $$\frac{1+n}{2+n}$$ looks like $$\frac{n}{n}$$ or 1
for large $$n$$. So the sequence $$\left\{ \frac{1+n}{2+n}\right\}$$ has a
limit of 1 at infinity.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use graphical and/or algebraic methods to determine whether each of the following sequences converges or diverges.
''a)'' $$\left\{\frac{1+2n}{3n-2}\right\}$$
''b)'' $$\left\{\frac{5+3^n}{10+2^n}\right\}$$
''c)'' $$\left\{\frac{10^n}{n!}\right\}$$ (where $$!$$ is the ''factorial'' symbol
and $$n! = n(n-1)(n-2) \cdots (2)(1)$$ for any positive integer $$n$$ (as
convention we define $$0!$$ to be 1)).
Small hints for each of the prompts above.
Big hints for each of the prompts above.
A plot of the first 50 terms of the sequence
$$\left\{\frac{1+2n}{3n-2}\right\}$$ is shown here.
The plot implies that the sequence has a limit between 0.5 and 1. For
large $$n$$ the $$2n$$ term dominates the numerator and the $$3n$$ term the
denominator. So $$\frac{1+2n}{3n-2}$$ looks like
$$\frac{2n}{3n} = \frac{2}{3}$$ when $$n$$ is big. So the sequence
$$\left\{\frac{1+2n}{3n-2}\right\}$$ converges to $$\frac{2}{3}$$.
A plot of the first 50 terms of the sequence
$$\left\{\frac{5+3^n}{10+2^n}\right\}$$ is shown here.
The plot implies that the sequence does not have a limit as $$n$$ goes to
infinity. For large $$n$$ the $$3^n$$ term dominates the numerator and the
$$2^n$$ term the denominator. So $$\frac{5+3^n}{10+2^n}$$ looks like
$$\frac{3^n}{2^n} = \left(\frac{3}{2}\right)^n$$ when $$n$$ is big. Since
$$\frac{3}{2} > 1$$, the sequence $$\left\{\frac{5+3^n}{10+2^n}\right\}$$
diverges to infinity.
A plot of the first 50 terms of the sequence
$$\left\{\frac{10^n}{n!}\right\}$$ is shown here.
Initially, it looks as though the terms increase without bound, but
beginning at about $$n=10$$ the factorial in the denominator dominates the
numerator. Notice that
$$\frac{10^n}{n!} = \frac{10 \times 10 \times 10 \times \cdots \times 10}{1 \times 2 \times 3 \times \cdots n}$$
When $$n > 20$$, we have that $$\frac{10}{n} < \frac{1}{2}$$ and
Since $$\frac{1}{2}<1$$, the term $$\left(\frac{1}{2}\right)^{n-20}$$ goes
to 0 as $$n$$ goes to infinity. The fact that $$\frac{10^{20}}{20!}$$ is a
constant means that $$\frac{10^n}{n!} \to 0$$ as $$n \to \infty$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Suppose you receive $5000 through an inheritance. You decide to
invest this money into a fund that pays 8% annually, compounded
monthly. That means that each month your investment earns
$$\frac{0.08}{12} \cdot P$$ additional dollars, where $$P$$ is your
principal balance at the start of the month. So in the first month your
investment earns
$$5000 \left(\frac{0.08}{12}\right)$$
or $33.33. If you reinvest this money, you will then have $5033.33
in your account at the end of the first month. From this point on,
assume that you reinvest all of the interest you earn.
''a)'' How much interest will you earn in the second month? How much money will
you have in your account at the end of the second month?
''b)'' Complete ''Table 8.1'' to determine the interest earned and
total amount of money in this investment each month for one year.
''c)'' As we will see later, the amount of money $$P_n$$ in the account after month $$n$$ is given by
$$ P_n=5000(1+ \frac{0.08}{12})^n $$
[img width="100%" [table.8.1]]
<center>
Table 8.1: Interest
Use this formula to check your calculations in ''Table 8.1.'' Then find the amount of money in the account after
5 years.
''d)'' How many years will it be before the account has doubled in value to
$10000?
''1.'' Finding limits of convergent sequences can be a challenge. However,
there is a useful tool we can adapt from our study of limits of
continuous functions at infinity to use to find limits of sequences. We
illustrate in this exercise with the example of the sequence
''a)'' Calculate the first 10 terms of this sequence. Based on these
calculations, do you think the sequence converges or diverges? Why?
''b)'' For this sequence, there is a corresponding continuous function $$f$$
defined by
$$f(x) = \frac{\ln(x)}{x}.$$
Draw the graph of $$f(x)$$ on the interval $$[0,10]$$ and then plot the
entries of the sequence on the graph. What conclusion do you think we
can draw about the sequence $$\left\{\frac{\ln(n)}{n}\right\}$$ if
$$\lim_{x \to \infty} f(x) = L$$? Explain.
''c)'' Note that $$f(x)$$ has the indeterminate form $$\frac{\infty}{\infty}$$ as
$$x$$ goes to infinity. What idea from differential calculus can we use to
calculate $$\lim_{x \to \infty} f(x)$$? Use this method to find
$$\lim_{x \to \infty} f(x)$$. What, then, is
$$\lim_{n \to \infty} \frac{\ln(n)}{n}$$?
''2.'' We return to the example begun in Preview Activity [PA:8.1] to see how
to derive the formula for the amount of money in an account at a given
time. We do this in a general setting. Suppose you invest $$P$$ dollars
(called the ''principal'') in an account paying $$r\%$$ interest compounded
monthly. In the first month you will receive $$\frac{r}{12}$$ (here $$r$$ is
in decimal form; e.g., if we have $$8\%$$ interest, we write
$$\frac{0.08}{12}$$) of the principal $$P$$ in interest, so you earn
$$P\left(\frac{r}{12}\right)$$
dollars in interest. Assume that you reinvest all interest. Then at the
end of the first month your account will contain the original principal
$$P$$ plus the interest, or a total of
$$P_1 = P + P\left(\frac{r}{12}\right) = P\left( 1 + \frac{r}{12}\right)$$
''a)'' Given that your principal is now $$P_1$$ dollars, how much interest will
you earn in the second month? If $$P_2$$ is the total amount of money in
your account at the end of the second month, explain why
$$P_2 = P_1\left( 1 + \frac{r}{12}\right) = P\left( 1 + \frac{r}{12}\right)^2.$$
''b)'' Find a formula for $$P_3$$, the total amount of money in the account at
the end of the third month in terms of the original investment $$P$$.
''c)'' There is a pattern to these calculations. Let $$P_n$$ the total amount of
money in the account at the end of the third month in terms of the
original investment $$P$$. Find a formula for $$P_n$$.
''3.'' Sequences have many applications in mathematics and the sciences. In a
recent paper <<footnote [3] "Hui H, Farilla L, Merkel P, Perfetti R. The short half-life of glucagon-like peptide-1 in plasma does not reflect its long-lasting
beneficial effects, 'Eur J Endocrinol' 2002 Jun;146(6):863-9.">> the authors write
''The incretin hormone glucagon-like peptide-1 (GLP-1) is capable of
ameliorating glucose-dependent insulin secretion in subjects with
diabetes. However, its very short half-life (1.5-5 min) in plasma
represents a major limitation for its use in the clinical setting.
''
The half-life of GLP-1 is the time it takes for half of the hormone to
decay in its medium. For this exercise, assume the half-life of GLP-1 is
5 minutes. So if $$A$$ is the amount of GLP-1 in plasma at some time $$t$$,
then only $$\frac{A}{2}$$ of the hormone will be present after $$t+5$$
minutes. Suppose $$A_0 = 100$$ grams of the hormone are initially present
in plasma.
''a)'' Let $$A_1$$ be the amount of GLP-1 present after 5 minutes. Find the value
of $$A_1$$.
''b)'' Let $$A_2$$ be the amount of GLP-1 present after 10 minutes. Find the
value of $$A_2$$.
''c)'' Let $$A_3$$ be the amount of GLP-1 present after 15 minutes. Find the
value of $$A_3$$.
''d)'' Let $$A_4$$ be the amount of GLP-1 present after 20 minutes. Find the
value of $$A_4$$.
''e)'' Let $$A_n$$ be the amount of GLP-1 present after $$5n$$ minutes. Find a
formula for $$A_n$$.
''f)'' Does the sequence $$\{A_n\}$$ converge or diverge? If the sequence
converges, find its limit and explain why this value makes sense in the
context of this problem.
''g)'' Determine the number of minutes it takes until the amount of GLP-1 in
plasma is 1 gram.
''4.'' Continuous data is the basis for analog information, like music stored
on old cassette tapes or vinyl records. A digital signal like on a CD or
MP3 file is obtained by sampling an analog signal at some regular time
interval and storing that information. For example, the sampling rate of
a compact disk is 44,100 samples per second. So a digital recording is
only an approximation of the actual analog information. Digital
information can be manipulated in many useful ways that allow for, among
other things, noisy signals to be cleaned up and large collections of
information to be compressed and stored in much smaller space. While we
won’t investigate these techniques in this chapter, this exercise is
intended to give an idea of the importance of discrete (digital)
techniques.
Let $$f$$ be the continuous function defined by $$f(x) = \sin(4x)$$ on the
interval $$[0,10]$$. A graph of $$f$$ is shown in <<figreference 8_1_Exercise_1.svg>>.
<<figure 8_1_Exercise_1.svg>>
We approximate $$f$$ by ''sampling'', that is by partitioning the interval
$$[0,10]$$ into uniform subintervals and recording the values of $$f$$ at
the endpoints.
''a)'' Ineffective sampling can lead to several problems in reproducing the
original signal. As an example, partition the interval $$[0,10]$$ into 8
equal length subintervals and create a list of points (the ''sample'')
using the endpoints of each subinterval. Plot your sample on graph of
$$f$$ in Figure Figure [F:8.1.PA1]. What can you say about the period of
your sample as compared to the period of the original function?
''b)'' The sampling rate is the number of samples of a signal taken per second.
As part (a) illustrates, sampling at too small a rate can cause serious
problems with reproducing the original signal (this problem of
inefficient sampling leading to an inaccurate approximation is called
''aliasing''). There is an elegant theorem called the Nyquist-Shannon
Sampling Theorem that says that human perception is limited, which
allows that replacement of a continuous signal with a digital one
without any perceived loss of information. This theorem also provides
the ''lowest'' rate at which a signal can be sampled (called the Nyquist
rate) without such a loss of information. The theorem states that we
should sample at double the maximum desired frequency so that every
cycle of the original signal will be sampled at at least two points.
Recall that the frequency of a sinusoidal function is the reciprocal of
the period. Identify the frequency of the function $$f$$ and determine the
number of partitions of the interval $$[0,10]$$ that give us the Nyquist
rate.
''c)'' Humans cannot typically pick up signals above 20 kHz. Explain why, then,
that information on a compact disk is sampled at 44,100 Hz.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
What does it mean for a sequence to converge?
What does it mean for a sequence to diverge?
We encounter sequences every day. Your monthly rent payments, the annual
interest you earn on investments, a list of your car’s miles per gallon
every time you fill up; all are examples of sequences. Other sequences
with which you may be familiar include the Fibonacci sequence
$$1, 1, 2, 3, 5, 8, \ldots$$
in which each entry is the sum of the two preceding entries and the
triangular numbers
$$1, 3, 6, 10, 15, 21, 28, 36, 45, 55, \ldots$$
which are numbers that correspond to the number of vertices seen in the
triangles in <<figreference 8_1_Triangular_Numbers.svg>>
<<figure 8_1_Triangular_Numbers.svg>>
Sequences of integers are of such interest to mathematicians and others
that they have a journal<<footnote "[1]" "''The Journal of Integer Sequences'' at http://www.cs.uwaterloo.ca/journals/JIS/">> devoted to them and an on-line encyclopedia<<footnote "[2]" "The On-Line Encyclopedia of Integer Sequences at http://oeis.org/" >> that catalogs a huge number of integer sequences and
their connections. Sequences are also used in digital recordings and
digital images.
To this point, most of our studies in calculus have dealt with
continuous information (e.g., continuous functions). The major
difference we will see now is that sequences model ''discrete'' instead of
continuous information. We will study ways to represent and work with
discrete information in this chapter as we investigate ''sequences'' and
''series'', and ultimately see key connections between the discrete and
continuous.
As our discussion in the introduction and <<reference 8.1.PA1>>
illustrate, many discrete phenomena can be represented as lists of
numbers (like the amount of money in an account over a period of
months). We call these any such list a ''sequence''. In other words, a
sequence is nothing more than list of terms in some order. To be able to
refer to a sequence in a general sense, we often list the entries of the
sequence with subscripts,
$$s_1, s_2, \ldots, s_n \ldots,$$
where the subscript denotes the position of the entry in the sequence.
More formally,
''Definition 8.1.'' A sequence is a list of terms $$s_1, s_2, s_3, \ldots$$ in a specified
order.
As an alternative to ''Definition 8.1'', we can also consider a
sequence to be a function $$f$$ whose domain is the set of positive
integers. In this context, the sequence $$s_1$$, $$s_2$$, $$s_3$$, $$\ldots$$
would correspond to the function $$f$$ satisfying $$f(n) = s_n$$ for each
positive integer $$n$$. This alternative view will be be useful in many
situations.
We will often write the sequence
$$s_1, s_2, s_3, \ldots$$
using the shorthand notation $$\{s_n\}$$. The value $$s_n$$ (alternatively
$$s(n)$$) is called the $$n$$th ''term'' in the sequence. If the terms are all
0 after some fixed value of $$n$$, we say the sequence is finite.
Otherwise the sequence is infinite. We will work with both finite and
infinite sequences, but focus more on the infinite sequences. With
infinite sequences, we are often interested in their end behavior and
the idea of ''convergent'' sequences.
Next we formalize the ideas from <<reference 8.1.Act1>>.
In <<reference 8.1.Act1>> and <<reference 8.1.Act2>> we investigated the notion of a
sequence $$\{s_n\}$$ having a limit as $$n$$ goes to infinity. If a sequence
$$\{s_n\}$$ has a limit as $$n$$ goes to infinity, we say that the sequence
''converges'' or is a ''convergent sequence''. If the limit of a convergent
sequence is the number $$L$$, we use the same notation as we did for
continuous functions and write
$$\lim_{n \to \infty} s_n = L.$$
If a sequence $$\{s_n\}$$ does not converge then we say that the sequence
$$\{s_n\}$$ ''diverges''. Convergence of sequences is a major idea in this
section and we describe it more formally as follows.
<table>
A sequence $${s_n}$$ of real numbers converges to a number $$L$$ if we can make all values of sk for $$k \geq n$$ as close to $$L$$ as we want by choosing n to be sufficiently large.
Remember, the idea of sequence having a limit as $$n \to \infty$$ is the
same as the idea of a continuous function having a limit as
$$x \to \infty$$. The only new wrinkle here is that our sequences are
discrete instead of continuous.
We conclude this section with a few more examples in the following
activity.
!!Summary
---
In this section, we encountered the following important ideas:
---
* A sequence is a list of objects in a specified order. We will typically work with sequences of real numbers and can also think of a sequence as a function from the positive integers to the set of real numbers.
* A sequence $$\{s_n\}$$ of real numbers converges to a number $$L$$ if we can make every value of $$s_k$$ for $$k \ge n$$ as close as we want to $$L$$ by choosing $$n$$ sufficiently large.
* A sequence diverges if it does not converge.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$a$$ and $$r$$ be real numbers (with $$r \neq 1$$) and let
$$S_n = a+ar+ar^2 + \cdots + ar^{n-1}.$$
In this activity we will find a shortcut formula for $$S_n$$ that does not
involve a sum of $$n$$ terms.
''a)'' Multiply $$S_n$$ by $$r$$. What does the resulting sum look like?
''b)'' Subtract $$rS_n$$ from $$S_n$$ and explain why
$$ S_n - rS_n = a - ar^n$$.
''c)'' Solve equation ([eq:8.2.1~p~artial~g~eometric~s~um]) for $$S_n$$ to find a
simple formula for $$S_n$$ that does not involve adding $$n$$ terms.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
$$rS_n = ar+ar^2+ar^3 + \cdots + ar^n.$$
When we subtract $$rS_n$$ from $$S_n$$ the middle terms all cancel and we
are left with
S~n~ - rS~n~ &= (a+ar+ar^2^ + + ar^n-1^) - (ar+ar^2^+ar^3^ + + ar^n^)\
&=a + (ar-ar) + (ar^2^-ar^2^) + + (ar^n-1^-ar^n-1^) - ar^n^\
Factoring $$S_n$$ from left hand side and dividing gives us a formula for
$$S_n$$:
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$r \ne 1$$ and $$a$$ be real numbers and let
$$S = a+ar+ar^2 + \cdots ar^{n-1} + \cdots$$
be an infinite geometric series. For each positive integer $$n$$, let
$$S_n = a+ar+ar^2 + \cdots + ar^{n-1}.$$
$$S_n = a\frac{1-r^n}{1-r}.$$
''a)'' What should we allow $$n$$ to approach in order to have $$S_n$$ approach
$$S$$?
''b)'' What is the value of $$\lim_{n \to \infty} r^n$$ for
''c)'' If $$|r| < 1$$, use the formula for $$S_n$$ and your observations in (a) and
(b) to explain why $$S$$ is finite and find a resulting formula for $$S$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
$$S = \lim_{n \to \infty} S_n.$$
If $$r > 1$$, then $$\lim_{n \to \infty} r^n = \infty$$.
If $$0 < r < 1$$, then $$\lim_{n \to \infty} r^n = 0$$.
$$S = \lim_{n \to \infty} S_n = \lim_{n \to \infty} a\frac{1-r^n}{1-r}$$
$$\lim_{n \to \infty} r^n = 0$$
for $$0 < r < 1$$, we conclude that
$$S = \lim_{n \to \infty} a\frac{1-r^n}{1-r} = \frac{a}{1-r}$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The formulas we have derived for the geometric series and its partial sum so far have assumed we begin indexing our sums at $$n=0$$. If instead we have a sum that does not begin at $$n=0$$, we can factor out common terms and use our established formulas. This process is illustrated in the examples in this activity.
$$\sum_{k=1}^{\infty} (2)\left(\frac{1}{3}\right)^k = (2)\left(\frac{1}{3}\right) + (2)\left(\frac{1}{3}\right)^2 + (2)\left(\frac{1}{3}\right)^3 + \cdots .$$
Remove the common factor of $$(2)\left(\frac{1}{3}\right)$$ from each term
and hence find the sum of the series.
''b)'' Next let $$a$$ and $$r$$ be real numbers with $$-1<r<1$$. Consider the sum
$$\sum_{k=3}^{\infty} ar^k = ar^3+ar^4+ar^5 + \cdots.$$
Remove the common factor of $$ar^3$$ from each term and find the sum of
the series.
''c)'' Finally, we consider the most general case. Let $$a$$ and $$r$$ be real
numbers with $$-1<r<1$$, let $$n$$ be a positive integer, and consider the
sum
$$\sum_{k=n}^{\infty} ar^k = ar^n+ar^{n+1}+ar^{n+2} + \cdots .$$
Remove the common factor of $$ar^n$$ from each term to find the sum of the
series.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Factoring out $$(2)\left(\frac{1}{3}\right)$$ gives us
(2)() &= (2)()~k=0~^^ ()^k^\
&= (2)() ()\
&= (2)() ()\
&= 4.
Factoring out $$ar^3$$ gives us
&= ar^3^~k=0~^^ r^k^\
&= ar^3^ ()\
&= .
Factoring out $$ar^n$$ gives us
ar^n^+ar^n+1^+ar^n+2^ + &= ar^n^(1+r+r^2^+ )\
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' There is an old question that is often used to introduce the power of
geometric growth. Here is one version. Suppose you are hired for a one
month (30 days, working every day) job and are given two options to be
paid.
''Option 1.'' You can be paid $500 per day or
''Option 2.'' You can be paid 1 cent the first day, 2 cents the second day, 4 cents
the third day, 8 cents the fourth day, and so on, doubling the amount
you are paid each day.
''a)'' How much will you be paid for the job in total under Option 1?
''b)'' Complete ''Table8.3:'' to determine the pay you will receive
under Option 2 for the first 10 days.
<center>
[img width="80%" [table.8.2.b]]
<br>
Table 8.3: Option 2 payments
''c)'' Find a formula for the amount paid on day $$n$$, as well as for the total
amount paid by day $$n$$. Use this formula to determine which option (1 or
2) you should take.
so Option 2 is definitely the better deal.
''2.'' Suppose you drop a golf ball onto a hard surface from a height $$h$$. The
collision with the ground is causes the ball to lose energy and so it
will not bounce back to its original height. The ball will then fall
again to the ground, bounce back up, and continue. Assume that at each
bounce the ball rises back to a height $$\frac{3}{4}$$ of the height from
which it dropped. Let $$h_n$$ be the height of the ball on the $$n$$th
bounce, with $$h_0 = h$$. In this exercise we will determine the distance
traveled by the ball and the time it takes to travel that distance.
''a)'' Determine a formula for $$h_1$$ in terms of $$h$$.
''b)'' Determine a formula for $$h_2$$ in terms of $$h$$.
''c)'' Determine a formula for $$h_3$$ in terms of $$h$$.
''d)'' Determine a formula for $$h_n$$ in terms of $$h$$.
''e)'' Write an infinite series that represents the total distance traveled by
the ball. Then determine the sum of this series.
''f)'' Next, let’s determine the total amount of time the ball is in the air.
''i.'' When the ball is dropped from a height $$H$$, if we assume the only force
acting on it is the acceleration due to gravity, then the height of the
ball at time $$t$$ is given by
Use this formula to determine the time it takes for the ball to hit the
ground after being dropped from height $$H$$.
''ii.'' Use your work in the preceding item, along with that in (a)-(e) above to
determine the total amount of time the ball is in the air.
''3.'' Suppose you play a game with a friend that involves rolling a standard
six-sided die. Before a player can participate in the game, he or she
must roll a six with the die. Assume that you roll first and that you
and your friend take alternate rolls. In this exercise we will determine
the probability that you roll the first six.
''a)'' Explain why the probability of rolling a six on any single roll
(including your first turn) is $$\frac{1}{6}$$.
''b)'' If you don’t roll a six on your first turn, then in order for you to
roll the first six on your second turn, both you and your friend had to
fail to roll a six on your first turns, and then you had to succeed in
rolling a six on your second turn. Explain why the probability of this
event is
$$\left(\frac{5}{6}\right)\left(\frac{5}{6}\right)\left(\frac{1}{6}\right) = \left(\frac{5}{6}\right)^2\left(\frac{1}{6}\right).$$
''c)'' Now suppose you fail to roll the first six on your second turn. Explain
why the probability is
$$\left(\frac{5}{6}\right)\left(\frac{5}{6}\right)\left(\frac{5}{6}\right)\left(\frac{5}{6}\right)\left(\frac{1}{6}\right) = \left(\frac{5}{6}\right)^4\left(\frac{1}{6}\right)$$
that you to roll the first six on your third turn.
''d)'' The probability of you rolling the first six is the probability that you
roll the first six on your first turn plus the probability that you roll
the first six on your second turn plus the probability that your roll
the first six on your third turn, and so on. Explain why this
probability is
$$\frac{1}{6} + \left(\frac{5}{6}\right)^2\left(\frac{1}{6}\right) + \left(\frac{5}{6}\right)^4\left(\frac{1}{6}\right) + \cdots.$$
Find the sum of this series and determine the probability that you roll
the first six.
''4.'' The goal of a federal government stimulus package is to positively
affect the economy. Economists and politicians quote numbers like “$$k$$
million jobs and a net stimulus to the economy of $$n$$ billion of
dollars.” Where do they get these numbers? Let’s consider one aspect of
a stimulus package: tax cuts. Economists understand that tax cuts or
rebates can result in long-term spending that is many times the amount
of the rebate. For example, assume that for a typical person, 75% of her
entire income is spent (that is, put back into the economy). Further,
assume the government provides a tax cut or rebate that totals $$P$$
dollars for each person.
''a)'' The tax cut of $$P$$ dollars is income for its recipient. How much of this
tax cut will be spent?
''b)'' In this simple model, we will say that the spent portion of the tax
cut/rebate from part (a) then becomes income for another person who, in
turn, spends 75% of this income. After this ''second round'' of spent
income, how many total dollars have been added to the economy as a
result of the original tax cut/rebate?
''c)'' This second round of spending becomes income for another group who spend
75% of this income, and so on. In economics this is called the
''multiplier effect''. Explain why an original tax cut/rebate of $$P$$
dollars will result in multiplied spending of
$$0.75P(1+0.75+0.75^2+ \cdots ).$$
''d)'' Based on these assumptions, how much stimulus will a 200 billion dollar
tax cut/rebate to consumers add to the economy, assuming consumer
spending remains consistent forever.
''5.'' Like stimulus packages, home mortgages and foreclosures also impact the
economy. A problem for many borrowers is the adjustable rate mortgage,
in which the interest rate can change (and usually increases) over the
duration of the loan, causing the monthly payments to increase beyond
the ability of the borrower to pay. Most financial analysts recommend
fixed rate loans, ones for which the monthly payments remain constant
throughout the term of the loan. In this exercise we will analyze fixed
rate loans.
When most people buy a large ticket item like car or a house, they have
to take out a loan to make the purchase. The loan is paid back in
monthly installments until the entire amount of the loan, plus interest,
is paid. With a loan, we borrow money, say $$P$$ dollars (called the
principal), and pay off the loan at an interest rate of $$r$$%. To pay
back the loan we make regular monthly payments, some of which goes to
pay off the principal and some of which is charged as interest. In most
cases, the interest is computed based on the amount of principal that
remains at the beginning of the month. We assume a fixed rate loan, that
is one in which the we make a constant monthly payment $$M$$ on our loan,
beginning in the original month of the loan.
Suppose you want to buy a house. You have a certain amount of money
saved to make a down payment, and you will borrow the rest to pay for
the house. Of course, for the privilege of loaning you the money, the
bank will charge you interest on this loan, so the amount you pay back
to the bank is more than the amount you borrow. In fact, the amount you
ultimately pay depends on three things: the amount you borrow (called
the ''principal''), the interest rate, and the length of time you have to
pay off the loan plus interest (called the ''duration'' of the loan). For
this example, we assume that the interest rate is fixed at $$r$$%.
To pay off the loan, each month you make a payment of the same amount
(called ''installments''). Suppose we borrow $$P$$ dollars (our principal)
and pay off the loan at an interest rate of $$r$$% with regular monthly
installment payments of $$M$$ dollars. So in month 1 of the loan, before
we make any payments, our principal is $$P$$ dollars. Our goal in this
exercise is to find a formula that relates these three parameters to the
time duration of the loan.
We are charged interest every month at an annual rate of $$r$$%, so each
month we pay $$\frac{r}{12}$$% interest on the principal that remains.
Given that the original principal is $$P$$ dollars, we will pay
$$\left(\frac{0.0r}{12}\right)P$$ dollars in interest on our first
payment. Since we paid $$M$$ dollars in total for our first payment, the
remainder of the payment ($$M-\left(\frac{r}{12}\right)P$$) goes to pay
down the principal. So the principal remaining after the first payment
(let’s call it $$P_1$$) is the original principal minus what we paid on
the principal, or
$$P_1 = P - \left( M - \left(\frac{r}{12}\right)P\right) = \left(1 + \frac{r}{12}\right)P - M.$$
As long as $$P_1$$ is positive, we still have to keep making payments to
pay off the loan.
''a)'' Recall that the amount of interest we pay each time depends on the
principal that remains. How much interest, in terms of $$P_1$$ and $$r$$, do
we pay in the second installment?
In the second installment, we are charged $$\left(\frac{r}{12}\right)P_1$$
dollars in interest.
''b)'' How much of our second monthly installment goes to pay off the
principal? What is the principal $$P_2$$, or the balance of the loan, that
we still have to pay off after making the second installment of the
loan? Write your response in the form $$P_2 = ( \ )P_1 - ( \ )M$$, where
you fill in the parentheses.
''c)'' Show that $$P_2 = (1 + \frac{r}{12})^2 P - (1+(1+\frac{r}{12})]M$$.
''d)'' Let $$P_3$$ be the amount of principal that remains after the third
installment. Show that
$$P_3 = \left(1 + \frac{r}{12}\right)^3P - \left[1 + \left(1+\frac{r}{12}\right) + \left(1+\frac{r}{12}\right)^2 \right] M.$$
''e)'' If we continue in the manner described in the problems above, then the
remaining principal of our loan after $$n$$ installments is
$$ P_n = (1 + \frac{r}{12})^n P - [\sum_{k=0}^{n-1}(1 + \frac{r}{12})^k ]M.
This is a rather complicated formula and one that is difficult to use.
However, we can simplify the sum if we recognize part of it as a partial
sum of a geometric series. Find a formula for the sum
$$ \sum_{k=0}^{n-1} (1+ \frac{r}{12})^k.
and then a general formula for $$P_n$$ that does not involve a sum.
''f)'' It is usually more convenient to write our formula for $$P_n$$ in terms of
years rather than months. Show that $$P(t)$$, the principal remaining
after $$t$$ years, can be written as
$$ P(t) = (P - \frac{12M}{r})(1 + \frac{r}{12})^{12t} +\frac{12M}{r}
''g)'' Now that we have analyzed the general loan situation, we apply formula
(''8.9'') to an actual loan. Suppose we charge $1,000 on a credit
card for holiday expenses. If our credit card charges 20% interest and
we pay only the minimum payment of $25 each month, how long will it
take us to pay off the $1,000 charge? How much in total will we have
paid on this $1,000 charge? How much total interest will we pay on this
loan?
''h)'' Now we consider larger loans, e.g. automobile loans or mortgages, in
which we borrow a specified amount of money over a specified period of
time. In this situation, we need to determine the amount of the monthly
payment we need to make to pay off the loan in the specified amount of
time. In this situation, we need to find the monthly payment $$M$$ that
will take our outstanding principal to $$0$$ in the specified amount of
time. To do so, we want to know the value of $$M$$ that makes $$P(t) = 0$$
in formula ([eq:loan2]). If we set $$P(t) = 0$$ and solve for $$M$$, it
follows that
$$M = \frac{rP \left(1+\frac{r}{12}\right)^{12t}}{12\left(\left(1+\frac{r}{12}\right)^{12t} - 1 \right)}.$$
''i.'' Suppose we want to borrow $15,000 to buy a car. We take out a 5 year
loan at 6.25%. What will our monthly payments be? How much in total will
we have paid for this $15,000 car? How much total interest will we pay
on this loan?
''ii.'' Suppose you charge your books for winter semester on your credit card.
The total charge comes to $525. If your credit card has an interest
rate of 18% and you pay $20 per month on the card, how long will it
take before you pay off this debt? How much total interest will you pay?
Say you need to borrow $100,000 to buy a house. You have several
options on the loan:
– 30 years at 6.5%
<br>
– 25 years at 7.5%
<br>
– 15 years at 8.25%.
''a)'' What are the monthly payments for each loan?
''b)'' Which mortgage is ultimately the best deal (assuming you can afford the
monthly payments)? In other words, for which loan do you pay the least
amount of total interest?
What is a geometric series?
What is a partial sum of a geometric series? What is a simplified form
of the $$n$$th partial sum of a geometric series?
Under what conditions does a geometric series converge? What is the sum
of a convergent geometric series?
Many important sequences are generated through the process of addition.
In <<reference 8.2.PA1>>, we see a particular example of a special
type of sequence that is connected to a sum.
In <<reference 8.2.PA1>> we encountered the sum
$$(5 \times 0.08)\left(1+0.08+0.08^2+0.08^3+ \cdots + 0.08^{n-1}\right).$$
In order to evaluate the long-term level of Warfarin in the patient’s
system, we will want to fully understand the sum in this expression.
This sum has the form
$$a+ar+ar^2+ + ar^{n-1}$$
where $$a=5 \times 0.08$$ and $$r=0.08$$. Such a sum is called a ''geometric
sum'' with ratio $$r$$. We will analyze this sum in more detail in the next
activity.
We can summarize the result of <<reference 8.2.Act1>> in the following way.
<table>
A geometric sum $$S_n$$ is a sum of the form
<br>
<br>
<center>
$$S_n = a + ar + ar^2 + + ar^{n-1},$$
</center>
<br>
where $$a$$ and $$r$$ are real numbers such that $$r \ne 1$$. The geometric
sum $$S_n$$ can be written more simply as
<br>
<center>
$$S_n = a+ar+ar^2+ + ar^{n-1} = .$$
<br>
<br>
We now apply equation (''8.4'') to the example
involving warfarin from <<reference 8.2.PA1>>. Recall that
$$Q(n)=(5 \times 0.08)\left(1+0.08+0.08^2+0.08^3+ \cdots + 0.08^{n-1}\right) \text{ mg},$$
so $$Q(n)$$ is a geometric sum with $$a=5 \times 0.08 = 0.4$$ and
$$r = 0.08$$. Thus,
$$Q(n) = 0.4\left(\frac{1-0.08^n}{1-0.08}\right) = \frac{1}{2.3} \left(1-0.08^n\right).$$
Notice that as $$n$$ goes to infinity, the value of $$0.08^n$$ goes to 0.
So,
$$\lim_{n \to \infty} Q(n) = \lim_{n \to \infty} \frac{1}{2.3} \left(1-0.08^n\right) = \frac{1}{2.3} \approx 0.435.$$
Therefore, the long-term level of Warfarin in the blood under these
conditions is $$\frac{1}{2.3}$$, which is approximately 0.435 mg.
To determine the long-term effect of Warfarin, we considered a geometric
sum of $$n$$ terms, and then considered what happened as $$n$$ was allowed
to grow without bound. In this sense, we were actually interested in an
infinite geometric sum (the result of letting $$n$$ go to infinity in the
finite sum). We call such an infinite geometric sum a ''geometric
series''.
<table>
''Definition 8.2.'' A geometric series is an infinite sum of the form
<br>
<br>
<center>
$$a + ar + ar^2 +... = \sum_{n=0}^{\infty} ar^n.$$
<br>
<br>
The value of $$r$$ in the geometric series (''8.5'')
is called the ''common ratio'' of the series because the ratio of the
($$n+1$$)st term $$ar^n$$ to the $$n$$th term $$ar^{n-1}$$ is always $$r$$.
Geometric series are very common in mathematics and arise naturally in
many different situations. As a familiar example, suppose we want to
write the number with repeating decimal expansion
$$N=0.1212\overline{12}$$
as a rational number. Observe that
<center>
<table class="equationtable">
<tr><td> $$N $$
</td><td>= $$0.12+0.0012+0.000012+... $$ </td></tr>
<tr><td></td><td>= $$(\frac{12}{100}) + (\frac{12}{100})(\frac{1}{100}) + (\frac{12}{100})(\frac{1}{100})^2+... $$
</td></tr>
which is an infinite geometric series with $$a=\frac{12}{100}$$ and
$$r = \frac{1}{100}$$. In the same way that we were able to find a
shortcut formula for the value of a (finite) geometric sum, we would
like to develop a formula for the value of a (infinite) geometric
series. We explore this idea in the following activity.
From our work in <<reference 8.2.Act2>>, we can now find the value of the
geometric series
$$N = \left(\frac{12}{100}\right) + \left(\frac{12}{100}\right)\left(\frac{1}{100}\right) + \left(\frac{12}{100}\right)\left(\frac{1}{100}\right)^2 + \cdots.$$
In particular, using $$a = \frac{12}{100}$$ and $$r = \frac{1}{100}$$, we
see that
$$N = \frac{12}{100} \left(\frac{1}{1-\frac{1}{100}}\right) = \frac{12}{100} \left(\frac{100}{99}\right) = \frac{4}{33}.$$
It is important to notice that a geometric sum is simply the sum of a
finite number of terms of a geometric series. In other words, the
geometric sum $$S_n$$ for the geometric series
$$\sum_{k=0}^{\infty} ar^k$$
$$S_n = a+ar+ar^2 + \cdots + ar^{n-1} = \sum_{k=0}^{n-1} ar^k.$$
We also call this sum $$S_n$$ the $$n$$th ''partial sum'' of the geometric
series. We summarize our recent work with geometric series as follows.
<table>
''o'' A geometric series is an infinite sum of the form
<br>
<br>
<center>
$$a + ar + ar^2 + ...= \sum_{n=0}^{\infty} ar^n,$$
</center>
<br>
<br>
where $$a$$ and $$r$$ are real numbers such that $$r \ne 0$$.
<br>
<br>
''o'' The $$n$$th partial sum $$S_n$$ of the geometric series is
<br>
<br>
<center>
$$S_n = a+ar+ar^2+ \cdots + ar^{n-1}.$$
</center>
<br>
<br>
''o'' If $$|r| < 1$$, then using the fact that $$S_n = a\frac{1-r^n}{1-r}$$, it
follows that the sum $$S$$ of the geometric series
(''8.6'') is
<br>
<br>
<center>
$$S = \lim_{n \to \infty} S_n = \lim_{n \to \infty} a\frac{1-r^n}{1-r} = \frac{a}{1-r}$$
<br>
<br>
!!Summary
---
In this section, we encountered the following important ideas:
---
* A geometric series is an infinite sum of the form
$$\sum_{k=0}^{\infty} ar^k$$
where $$a$$ and $$r$$ are real numbers and $$r \neq 0$$.
* For the geometric series $$\sum_{k=0}^{\infty} ar^k$$, its $$n$$th partial sum is
$$S_n = \sum_{k=0}^{n-1} ar^k.$$
* An alternate formula for the $$n$$th partial sum is
$$S_n = a \frac{1-r^n}{1-r}.$$
* Whenever $$|r| < 1$$, the infinite geometric series $$\sum_{k=0}^{\infty} ar^k$$ has the finite sum $$\frac{a}{1-r}$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Warfarin is an anticoagulant that prevents blood clotting; often it is
prescribed to stroke victims in order to help ensure blood flow. The
level of warfarin has to reach a certain concentration in the blood in
order to be effective.
Suppose warfarin is taken by a particular patient in a 5 mg dose each
day. The drug is absorbed by the body and some is excreted from the
system between doses. Assume that at the end of a 24 hour period, 8% of
the drug remains in the body. Let $$Q(n)$$ be the amount (in mg) of
warfarin in the body before the $$(n+1)$$st dose of the drug is
administered.
''a)'' Explain why $$Q(1) = 5 \times 0.08$$ mg.
''b)'' Explain why $$Q(2) = (5+Q(1)) \times 0.08$$ mg. Then show that
$$Q(2) = (5 \times 0.08)\left(1+0.08\right) \text{ mg}.$$
''c)'' Explain why $$Q(3) = (5+Q(2)) \times 0.08$$ mg. Then show that
$$Q(3) = (5 \times 0.08)\left(1+0.08+0.08^2\right) \text{ mg}.$$
''d)'' Explain why $$Q(4) = (5+Q(3)) \times 0.08$$ mg. Then show that
$$Q(4) = (5 \times 0.08)\left(1+0.08+0.08^2+0.08^3\right) \text{ mg}.$$
''e)'' There is a pattern that you should see emerging. Use this pattern to
find a formula for $$Q(n)$$, where $$n$$ is an arbitrary positive integer.
''f)'' Complete Table [T:8.2~W~arfarin] with values of $$Q(n)$$ for the provided
$$n$$-values (reporting $$Q(n)$$ to 10 decimal places). What appears to be
happening to the sequence $$Q(n)$$ as $$n $$ increases?
{{table.8.2}}
<center>
Table 8.2: Values of Q(n) for selected values of n
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
$$\sum_{k=1}^{\infty} \frac{1}{k^2}.$$
While it is physically impossible to add an infinite collection of
numbers, we can, of course, add any finite collection of them. In what
follows, we investigate how understanding how to find the $$n$$th partial
sum (that is, the sum of the first $$n$$ terms) enables us to make sense
of what the infinite sum.
''a)'' Sum the first two numbers in this series. That is, find a numeric value
for $$\sum_{k=1}^2 \frac{1}{k^2}$$
''b)'' Next, add the first three numbers in the series.
''c)'' Continue adding terms in this series to complete
Table [T:8.3.1~p~art~s~um~e~x]. Carry each sum to at least 8 decimal
places.
[img width="70%" [table.8.3.b]]
<center>
Table 8.4: Sums of some of the first terms of the series ∞ 1
''d)'' The sums in the table in (c) form a sequence whose $$n$$th term is
$$S_n = \sum_{k=1}^{n} \frac{1}{k^2}$$. Based on your calculations in the
table, do you think the sequence $$\{S_n\}$$ converges or diverges?
Explain. How do you think this sequence $$\{S_n\}$$ is related to the
series $$ \sum_{k=1}^{\infty} \frac{1}{k^2}$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
See the Table in part (c).
See the Table in part (c).
If we add the first few terms of the sequence
$$\left\{\frac{1}{k^2}\right\}$$ we obtain the entries (to 10 decimal
places) in the following table.
These sums in the table in part (c) seem to indicate that the sequence
$$\{S_n\}$$ converges to something a bit larger than 1.5. Since the
sequence $$\{S_n\}$$ is found by adding up the first $$k$$ terms of the
series, we should expect that the series
$$\sum_{k=1}^{n} \frac{1}{k^2}$$ is the limit of the sequence
$$\{S_n\}$$ as $$n$$ goes to infinity.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
If the ''series'' $$\sum a_k$$ converges, then an important result necessarily follows regarding the \emph{sequence} $$\{a_n\}$$. This activity explores this result.
Assume that the series $$ \sum_{k=1}^{\infty} a_k$$ converges and has sum equal to $$L$$.
''a)'' What is the $$n$$th partial sum $$S_n$$ of the series
$$ \sum_{k=1}^{\infty} a_k$$?
''b)'' What is the $$(n-1)$$st partial sum $$S_{n-1}$$ of the series
$$ \sum_{k=1}^{\infty} a_k$$?
''c)'' What is the difference between the $$n$$th partial sum and the $$(n-1)$$st
partial sum of the series $$ \sum_{k=1}^{\infty} a_k$$?
''d)'' Since we are assuming that $$ \sum_{k=1}^{\infty} a_k = L$$, what does
that tell us about $$ \lim_{n \to \infty} S_n$$? Why? What does that tell
us about $$ \lim_{n \to \infty} S_{n-1}$$? Why?
''e)'' Combine the results of the previous two parts of this activity to
determine
$$ \lim_{n \to \infty} a_n = \lim_{n \to \infty} (S_n - S_{n-1})$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
The $$n$$th partial sum of the series $$\sum_{k=1}^{\infty} a_k$$ is
$$S_n = \sum_{k=1}^n a_k.$$
The $$(n-1)$$st partial sum of the series $$\sum_{k=1}^{\infty} a_k$$ is
$$S_{n-1} = \sum_{k=1}^{n-1} a_k.$$
The difference between $$S_n$$ and $$S_{n-1}$$ is
$$\sum_{k=1}^{n} a_k - \sum_{k=1}^{n-1} a_k = a_{n}.$$
Since $$\sum_{k=1}^{\infty} a_k = \lim_{n \to \infty} S_n$$ we must
have $$\lim_{n \to \infty} S_n = L$$. Also,
$$\lim_{n \to \infty} S_n = \lim_{n \to \infty} S_{n-1},$$
so $$\lim_{n \to \infty} S_{n-1} = L$$ as well.
We have
~n\\ ~ a~n~ &= ~n\\ ~ (S~n~ - S~n-1~)\
&= ~n\\ ~ S~n~ - ~n\\ ~ S~n-1~\
&= L - L\
&= 0.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine if the Divergence Test applies to the following series. If the test does not apply, explain why. If the test does apply, what does it tell us about the series?
''a)'' $$\sum \frac{k}{k+1}$$
''c)''
$$\sum \frac{1}{k}$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Since the sequence $$\frac{k}{k+1}$$ converges to 1 and not 0 as $$k$$ goes
to infinity, the Divergence Test applies here and shows that the series
$$\sum \frac{k}{k+1}$$ diverges.
Since $$\lim_{k \to \infty} \frac{1}{k} = 0$$, the Divergence Test
does not apply to this series.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the harmonic series $$ \sum_{k=1}^{\infty} \frac{1}{k}$$. Recall that the harmonic series will converge provided that its sequence of partial sums converges. The $$n$$th partial sum $$S_n$$ of the series $$ \sum_{k=1}^{\infty} \frac{1}{k}$$ is
<center>
<table class="equationtable">
<tr><td> $$S_n $$
</td><td>= $$\sum_{k=1}^n \frac{1}{k}$$ </td></tr>
<tr><td></td><td>= $$ 1 + \frac{1}{2}+\frac{1}{3} +...+\frac{1}{n} $$
</td></tr>
<tr><td></td><td>= $$ (1)1 +(1) \frac{1}{2}+(1)\frac{1}{3} +...+(1)\frac{1}{n} $$
</td></tr>
Through this last expression for $$S_n$$, we can visualize this partial
sum as a sum of areas of rectangles with heights $$\frac{1}{m}$$ and bases
of length 1, as shown in <<figreference 8_3_Integral_test1.svg>>, which uses
the 9th partial sum.
<<figure 8_3_Integral_test1.svg>>
The graph of the continuous function $$f$$ defined by $$f(x) = \frac{1}{x}$$
is overlaid on this plot.
''a)'' Explain how this picture represents a particular Riemann sum.
''b)'' What is the definite integral that corresponds to the Riemann sum you
considered in (a)?
''c)'' Which is larger, the definite integral in (b), or the corresponding
partial sum $$S_9$$ of the series? Why?
''d)'' If instead of considering the 9th partial sum, we consider the $$n$$th
partial sum, and we let $$n$$ go to infinity, we can then compare the
series $$ \sum_{k=1}^{\infty} \frac{1}{k}$$ to the improper integral
$$ \int_{1}^{\infty} \frac{1}{x} \ dx$$. Which of these quantities is
larger? Why?
''e)'' Does the improper integral $$ \int_{1}^{\infty} \frac{1}{x} \ dx$$
converge or diverge? What does that result, together with your work in
(d), tell us about the series $$ \sum_{k=1}^{\infty} \frac{1}{k}$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Notice that the $$n$$th partial sum of the series
$$\sum_{k=1}^{\infty} \frac{1}{k}$$ is equal to the left hand Riemann
sum of $$f(x)$$ on the interval $$[1,n]$$.
Since $$f$$ is a decreasing function, it follows that
$$\sum_{k=1}^{n} \frac{1}{k} > \int_{1}^{n} \frac{1}{x} \ dx.$$
Letting Since $$f$$ is decreasing, the improper integral
$$\int_{1}^{\infty} \frac{1}{x} \ dx$$ is smaller than the limit of
the Riemann sums as $$n$$ goes to infinity. So we wind up with a
comparison between the series $$\sum_{k=1}^{\infty} \frac{1}{n}$$ and
the improper integral:
$$\sum_{k=1}^{\infty} \frac{1}{k} > \int_{1}^{\infty} \frac{1}{x} \ dx.$$
We can evaluate the improper integral as follows:
~1~^^ f(x) dx &= ~t\\ ~ ~1~^t^ dx\
Since the value of the series $$\sum_{k=1}^{\infty} \frac{1}{k}$$
exceeds the value of the infinite improper integral, we must conclude
that the series $$\sum_{k=1}^{\infty} \frac{1}{k}$$ diverges.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
The series $$\sum \frac{1}{k^p}$$ are special series called $$p$$-series. We have already seen that the $$p$$-series with $$p=1$$ (the harmonic series) diverges. We investigate the behavior of other $$p$$-series in this activity.
''a)'' Evaluate the improper integral $$ \int_1^{\infty} \frac{1}{x^2} \ dx$$.
Does the series $$ \sum_{k=1}^{\infty} \frac{1}{k^2}$$ converge or diverge? Explain.
''b)'' Evaluate the improper integral $$ \int_1^{\infty} \frac{1}{x^p} \ dx$$
where $$p > 1$$. For which values of $$p$$ can we conclude that the series
$$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$ converges?
''c)'' Evaluate the improper integral $$ \int_1^{\infty} \frac{1}{x^p} \ dx$$
where $$p < 1$$. What does this tell us about the corresponding $$p$$-series $$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$?
''d)'' Summarize your work in this activity by completing the following
statement. The $$p$$-series $$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$ converges if and
only if _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Small hints for each of the prompts above.
Big hints for each of the prompts above.
We evaluate the improper integral:
~1~^^ dx &= ~t\\ ~ ~1~^t^ dx\
So the improper integral converges. The Integral Test then shows that
the series $$ \sum_{k=1}^{\infty} \frac{1}{k^2}$$ converges.
Assume $$p > 1$$. Then $$p-1 > 0$$ and so $$x^{-p+1} = \frac{1}{x^{p-1}}$$ and
$$\lim_{x \to \infty} x^{-p+1} = \lim_{x \to \infty} \frac{1}{x^{p-1}} = 0.$$
Thus,
~1~^^ dx &= ~t\\ ~ ~1~^t^ dx\
&= ~t\\ ~ (t^-p+1^ - 1 )\
&= .
So the improper integral $$ \int_1^{\infty} \frac{1}{x^p} \ dx$$ converges
when $$p > 1$$. The Integral Test then shows that the series
$$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$ converges when $$p > 1$$.
Assume $$p < 1$$. Then $$1-p > 0$$ and so
$$\lim_{x \to \infty} x^{-p+1} = \infty.$$ Thus,
~1~^^ dx &= ~t\\ ~ ~1~^t^ dx\
&= ~t\\ ~ (t^-p+1^ - 1 )\
So the improper integral $$ \int_1^{\infty} \frac{1}{x^p} \ dx$$ diverges
when $$p < 1$$. The Integral Test then shows that the series
$$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$ also diverges when $$p < 1$$.
We complete the statement as
The $$p$$-series $$ \sum_{k=1}^{\infty} \frac{1}{k^p}$$ converges if and
only if $$p > 1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the series $$ \sum \frac{k+1}{k^3+2}$$. Since the convergence or divergence of a series only depends on the behavior of the series for large values of $$k$$, we might examine the terms of this series more closely as $$k$$ gets large.
''a)'' By computing the value of $$ \frac{k+1}{k^3+2}$$ for $$k = 100$$ and
$$k = 1000$$, explain why the terms $$ \frac{k+1}{k^3+2}$$ are essentially
$$ \frac{k}{k^3}$$ when $$k$$ is large.
''b)'' Let’s formalize our observations in (a) a bit more. Let
$$a_k = \frac{k+1}{k^3+2}$$ and $$b_k = \frac{k}{k^3}$$. Calculate
$$\lim_{k \to \infty} \frac{a_k}{b_k}.$$
What does the value of the limit tell you about $$a_k$$ and $$b_k$$ for
large values of $$k$$? Compare your response from part (a).
''c)'' Does the series $$ \sum \frac{k}{k^3}$$ converge or diverge? Why? What do
you think that tells us about the convergence or divergence of the
series $$ \sum \frac{k+1}{k^3+2}$$? Explain.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
When $$k$$ is very large, the constant 1 in the numerator is negligible
compared to $$k$$ and the constant 2 in the denominator is negligible
compared to $$k^3$$. So the numerator looks like $$k$$ and the denominator
$$k^3$$ when $$k$$ is large. It follows that $$ \frac{k+1}{k^3+2}$$ looks like
$$ \frac{k}{k^3}$$ when $$k$$ is large.
Note that
This tells us that $$a_k \approx b_k$$ for large values of $$k$$, which is
what we suggested in part (a).
Since $$\frac{k}{k^3} = \frac{1}{k^2}$$, the series $$ \sum \frac{k}{k^3}$$
is a $$p$$-series with $$p=2$$ and so converges. Since $$a_k \approx b_k$$ for
large values of $$k$$, it seems reasonable to expect that
$$\sum a_k \approx \sum b_k$$ for large $$k$$s. Since $$\sum a_k$$ is finite,
we should then conclude that $$\sum b_k$$ is also finite. So
$$ \sum \frac{k+1}{k^3+2}$$ should be a convergent series.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Use the Limit Comparison Test to determine the convergence or divergence of the series
$$\sum \frac{3k^2+1}{5k^4+2k+2}.$$
by comparing it to the series $$ \sum \frac{1}{k^2}$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Let $$b_k = \frac{k^2+1}{k^4+2k+2}$$ and $$a_k = \frac{1}{k^2}$$. Then
Since $$ \lim_{k \to \infty} \frac{b_k}{a_k}$$ is a finite positive
constant, the Limit Comparison Test shows that $$ \sum \frac{1}{k^2}$$ and
$$ \sum \frac{k^2+1}{k^4+2k+2}$$ either both converge or both diverge. We
know that $$ \sum \frac{1}{k^2}$$ is a $$p$$-series with $$p > 1$$ and so
$$ \sum \frac{1}{k^2}$$ converges. Therefore, the series
$$ \sum \frac{k^2+1}{k^4+2k+2}$$ also converges.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Consider the series defined by
$$ \sum_{k=1}^{\infty} \frac{2^k}{3^k-k}.$$
This series is not a geometric series, but this activity will illustrate
how we might compare this series to a geometric one. Recall that a
series $$\sum a_k$$ is geometric if the ratio $$\frac{a_{k+1}}{a_k}$$ is
always the same. For the series in (''8.14''), note that
$$a_k = \frac{2^k}{3^k-k}$$.
''a)'' To see if $$\sum \frac{2^k}{3^k-k}$$ is comparable to a geometric series,
we analyze the ratios of successive terms in the series. Complete Table
[T:8.3.3~r~atio~t~est], listing your calculations to at least 8 decimal
places.
{{table.8.3.d}}
Table 8.6: Ratios of successive terms in the series $$\sum \frac {2^k}{3^k - k}$$
''b)'' Based on your calculations in Table [T:8.3.3~r~atio~t~est], what can we
say about the ratio $$\frac{a_{k+1}}{a_k}$$ if $$k$$ is large?
''c)'' Do you agree or disagree with the statement: “the series
$$\sum \frac{2^k}{3^k-k}$$ is approximately geometric when $$k$$ is large”?
If not, why not? If so, do you think the series $$\sum \frac{2^k}{3^k-k}$$
converges or diverges? Explain.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Ratios of successive summands in the series are shown (to 10 decimal
places) in the following table.
The calculations in the table in part (a) seem to indicate that the
ratio $$\frac{a_{k+1}}{a_k}$$ is roughly $$\frac{2}{3}$$ when $$k$$ is large.
Since $$\frac{a_{k+1}}{a_k} \approx \frac{2}{3}$$ for large $$k$$, the
series $$\sum \frac{2^k}{3^k-k}$$ is approximately the same as
$$\sum \left(\frac{2}{3}\right)^k$$ when $$k$$ is large. So the series
$$\sum \frac{2^k}{3^k-k}$$ is approximately geometric with ratio
$$\frac{2}{3}$$ when $$k$$ is large. Since the series
$$\sum \left(\frac{2}{3}\right)^k$$ converges because the ratio is less
than 1, we expect that the series $$\sum \frac{2^k}{3^k-k}$$ will also
converge.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine whether each of the following series converges or diverges. Explicitly state which test you use.
''a)'' $$ \sum \frac{k}{2^k}$$
''b)'' $$ \sum \frac{k^3+2}{k^2+1}$$
''c)'' $$ \sum \frac{10^k}{k!}$$
''d)'' $$ \sum \frac{k^3-2k^2+1}{k^6+4}$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Since $$\lim_{n \to \infty} \frac{n}{2^n} = 0$$, the Divergence Test does
not apply. The Ratio Test is a good one to apply with series whose terms
involve exponentials and polynomials.
In this example we have $$a_{n+1} = \frac{n+1}{2^{n+1}}$$ and
$$a_n = \frac{n}{2^n}$$. So
$$\frac{a_{n+1}}{a_n} = \frac{\frac{n+1}{2^{n+1}}}{\frac{n}{2^n}} = \frac{n+1}{2n}.$$
As $$n$$ goes to infinity, the fraction $$\frac{n+1}{n}$$ goes to 1 and so
$$\lim_{n \to \infty} \frac{n+1}{2n} = \frac{1}{2}.$$
So in this example, for large $$n$$ we have that
$$\frac{a_{n+1}}{a_n} \approx \frac{1}{2}$$ or that $$\sum a_n$$ is roughly
a geometric series for large $$n$$ with ratio $$\frac{1}{2}$$. Since
geometric series with ratio $$\frac{1}{2}$$ converges, we can conclude
that
For this series, notice that the degree of the numerator is greater than
the degree of the denominator, so
$$\lim_{n \to \infty} \frac{n^3+2}{n^2+1} = \infty.$$
Since this limit is not 0, the Divergence Test shows that
$$\sum \frac{k^3+2}{k^2+1}$$ diverges.
We use the Ratio Test here with $$a_k = \frac{10^k}{k!}$$. Now
so the Ratio Test shows that $$\sum \frac{10^k}{k!}$$ converges.
If we ignore the highest powered terms, then the series
$$\sum \frac{k^3-2k^2+1}{k^6+4}$$ looks like the series
$$\sum \frac{k^3}{k^6} = \sum \frac{1}{k^3}$$. We formally apply the
Limit Comparison Test as follows:
Since $$\sum \frac{1}{k^3}$$ is a $$p$$-series with $$p=3>1$$, the series
$$\sum \frac{1}{k^3}$$ converges. Consequently, the Limit Comparison
Test shows that $$\sum \frac{k^3-2k^2+1}{k^6+4}$$ converges as well.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
Have you ever wondered how your calculator can produce a numeric
approximation for complicated numbers like $$e$$, $$\pi$$ or $$\ln(2)$$? After
all, the only operations a calculator can really perform are addition,
subtraction, multiplication, and division, the operations that make up
polynomials. This activity provides the first steps in understanding how
this process works. Throughout the activity, let $$f(x) = e^x$$.
''a)'' Find the tangent line to $$f$$ at $$x=0$$ and use this linearization to
approximate $$e$$. That is, find a formula $$L(x)$$ for the tangent line,
and compute $$L(1)$$, since $$L(1) \approx f(1) = e$$.
''b)'' The linearization of $$e^x$$ does not provide a good approximation to $$e$$
since 1 is not very close to 0. To obtain a better approximation, we
alter our approach a bit. Instead of using a straight line to
approximate $$e$$, we put an appropriate bend in our estimating function
to make it better fit the graph of $$e^x$$ for $$x$$ close to 0. With the
linearization, we had both $$f(x)$$ and $$f'(x)$$ share the same value as
the linearization at $$x=0$$. We will now use a quadratic approximation
$$P_2(x)$$ to $$f(x) = e^x$$ centered at $$x=0$$ which has the property that
$$P_2(0) = f(0)$$, $$P'_2(0) = f'(0)$$, $$P''_2(0) = f''(0)$$.
''i.'' Let $$P_2(x) = 1+x+\frac{x^2}{2}$$. Show that $$P_2(0) = f(0)$$,
$$P'_2(0) = f'(0)$$, and $$P''_2(0) = f''(0)$$. Then, use $$P_2(x)$$ to
approximate $$e$$ by observing that $$P_2(1) \approx f(1)$$.
''ii.'' We can continue approximating $$e$$ with polynomials of larger degree
whose higher derivatives agree with those of $$f$$ at 0. This turns out to
make the polynomials fit the graph of $$f$$ better for more values of $$x$$
around 0. For example, let $$P_3(x) = 1+x+\frac{x^2}{2}+\frac{x^3}{6}$$.
Show that $$P_3(0) = f(0)$$, $$P'_3(0) = f'(0)$$, $$P''_3(0) = f''(0)$$, and
$$P'''_3(0) = f'''(0)$$. Use $$P_3(x)$$ to approximate $$e$$ in a way similar
to how you did so with $$P_2(x)$$ above.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
In this exercise we investigate the sequence
$$\left\{\frac{b^n}{n!}\right\}$$ for any constant $$b$$.
''a)'' Use the Ratio Test to determine if the series $$\sum \frac{10^k}{k!}$$
converges or diverges.
''b)'' Now apply the Ratio Test to determine if the series
$$\sum \frac{b^k}{k!}$$ converges for any constant $$b$$.
''c)'' Use your result from (b) to decide whether the sequence
$$\left\{\frac{b^n}{n!}\right\}$$ converges or diverges. If the sequence
$$\left\{\frac{b^n}{n!}\right\}$$ converges, to what does it converge?
Explain your reasoning.
''2.'' There is a test for convergence similar to the
Ratio Test called the ''Root Test''. Suppose we have a series $$ \sum a_k$$
of positive terms so that $$a_n \to 0$$ as $$n \to \infty$$.
as $$n$$ goes to infinity. Explain why this tells us that
$$a_n \approx r^n$$ for large values of $$n$$.
''c)'' Using the result of part (a), explain why $$\sum a_k$$ looks like a
geometric series when $$n$$ is big. What is the ratio of the geometric
series to which $$\sum a_k$$ is comparable?
''c)'' Use what we know about geometric series to determine that values of $$r$$
so that $$\sum a_k$$ converges if $$^n\sqrt{a_n} \to r$$ as $$n \to \infty$$.
''3.'' The associative and distributive laws of addition allow us to add finite
sums in any order we want. That is, if $$ \sum_{k=0}^n a_k$$ and
$$ \sum_{k=0}^n b_k$$ are finite sums of real numbers, then
$$\sum_{k=0}^{n} a_k + \sum_{k=0}^n b_k = \sum_{k=0}^n (a_k+b_k).$$
However, we do need to be careful extending rules like this to infinite
series.
''a)'' Let $$a_n = 1 + \frac{1}{2^n}$$ and $$b_n = -1$$ for each nonnegative
integer $$n$$.
''i.'' Explain why the series $$ \sum_{k=0}^{\infty} a_k$$ and
$$ \sum_{k=0}^{\infty} b_k$$ both diverge.
''ii.'' Explain why the series $$ \sum_{k=0}^{\infty} (a_k+b_k)$$ converges.
$$\sum_{k=0}^{\infty} a_k + \sum_{k=0}^{\infty} b_k \neq \sum_{k=0}^{\infty} (a_k+b_k).$$
This shows that it is possible to have to two divergent series
$$ \sum_{k=0}^{\infty} a_k$$ and $$ \sum_{k=0}^{\infty} b_k$$ but yet have
the series $$ \sum_{k=0}^{\infty} (a_k+b_k)$$ converge.
''b)'' While part (a) shows that we cannot add series term by term in general,
we can under reasonable conditions. The problem in part (a) is that we
tried to add divergent series. In this exercise we will show that if
$$\sum a_k$$ and $$\sum b_k$$ are convergent series, then $$\sum (a_k+b_k)$$
is a convergent series and
$$\sum (a_k+b_k) = \sum a_k + \sum b_k.$$
''i.'' Let $$A_n$$ and $$B_n$$ be the $$n$$th partial sums of the series
$$\sum_{k=1}^{\infty} a_k$$ and $$\sum_{k=1}^{\infty} b_k$$, respectively.
Explain why
$$A_n + B_n = \sum_{k=1}^n (a_k+b_k).$$
''ii.'' Use the previous result and properties of limits to show that
$$\sum_{k=1}^{\infty} (a_k+b_k) = \sum_{k=1}^{\infty} a_k + \sum_{k=1}^{\infty} b_k.$$
(Note that the starting point of the sum is irrelevant in this problem,
so it doesn’t matter where we begin the sum.)
''iii.'' Use the prior result to find the sum of the series
$$ \sum_{k=0}^{\infty} \frac{2^k+3^k}{5^k}$$.
''4)'' Series are sums, just like improper
integrals. Recall that we had a comparison test for improper integrals,
so it is reasonable to expect that we could have a similar test for
infinite series. We consider such a test in this exercise. First we
consider an example.
''a)'' Consider the series
$$\sum \frac{1}{k^2} $$and $$\sum \frac{1}{k^2+k}.$$
We know that the series $$ \sum \frac{1}{k^2}$$ is a $$p$$-series with
$$p = 2 > 1$$ and so $$ \sum \frac{1}{k^2}$$ converges. In this part of the
exercise we will see how to use information about $$ \sum \frac{1}{k^2}$$
to determine information about $$ \sum \frac{1}{k^2+k}$$. Let
$$a_k = \frac{1}{k^2}$$ and $$b_k = \frac{1}{k^2+k}$$.
''i.'' Let $$S_n$$ be the $$n$$th partial sum of $$ \sum \frac{1}{k^2}$$ and $$T_n$$
the $$n$$th partial sum of $$ \sum \frac{1}{k^2+k}$$. Which is larger, $$S_1$$
or $$T_1$$? Why?
$$S_2 = S_1 + a_2 $$ and $$T_2 = T_1 + b_2.$$
Which is larger, $$a_2$$ or $$b_2$$? Based on that answer, which is larger,
$$S_2$$ or $$T_2$$?
$$S_3 = S_2 + a_3$$ and $$ T_3 = T_2 + b_3.$$
Which is larger, $$a_3$$ or $$b_3$$? Based on that answer, which is larger,
$$S_3$$ or $$T_3$$?
''iv.'' Which is larger, $$a_n$$ or $$b_n$$? Explain. Based on that answer, which is
larger, $$S_n$$ or $$T_n$$?
''v.'' Based on your response to the previous part of this exercise, what
relationship do you expect there to be between $$ \sum \frac{1}{k^2}$$ and
$$ \sum \frac{1}{k^2+k}$$? Do you expect $$ \sum \frac{1}{k^2+k}$$ to
converge or diverge? Why?
''b)'' The example in the previous part of this exercise illustrates a more
general result. Explain why the Direct Comparison Test, stated here,
works.
<table>
''The Direct Comparison Test.'' If
<br>
<br>
<center>
$$0 \leq b_k \leq a_k$$
</center>
<br>
<br>
for every $$k$$, then we must have $$0 \leq \sum b_k \leq \sum a_k$$
<br>
<br>
1. If $$\sum a_k$$ converges, then $$\sum b_k$$ converges.
<br>
2. If $$\sum b_k$$ diverges, then $$\sum a_k$$ diverges.
''Important Note:'' This comparison test applies only to series with
nonnegative terms.
''i.'' Use the Direct Comparison Test to determine the convergence or
divergence of the series $$ \sum \frac{1}{k-1}$$. Hint: Compare to the
harmonic series.
''ii.'' Use the Direct Comparison Test to determine the convergence or
divergence of the series $$ \sum \frac{k}{k^3+1}$$.
What is an infinite series?
What is the $$n$$th partial sum of an infinite series?
How do we add up an infinite number of numbers? In other words, what
does it mean for an infinite series of real numbers to converge?
What does is mean for an infinite series of real numbers to diverge?
$$N = 0.1212121212 \cdots = \frac{12}{100} + \frac{12}{100} \cdot \frac{1}{100} + \frac{12}{100} \cdot \frac{1}{100^2} + \cdots$$
as a geometric series, we found a way to write the repeating decimal
expansion of $$N$$ as a single fraction: $$N = \frac{4}{33}$$. There are
many other situations in mathematics where infinite sums of numbers
arise, but often these are not geometric. In this section, we begin
exploring these other types of infinite sums. <<reference 8.3.PA1>>
provides a context in which we see how one such sum is related to the
famous number $$e$$.
<<reference 8.3.PA1>> shows that an approximation to $$e$$ using a
linear polynomial is 2, an approximation to $$e$$ using a quadratic
polynomial is $$2.5$$, and an approximation using a cubic polynomial is
2.6667. As we will see later, if we continue this process we can obtain
approximations from quartic (degree 4), quintic (degree 5), and higher
degree polynomials giving us the following approximations to $$e$$:
[img width="90%" [table.8.3.a]]
We see an interesting pattern here. The number $$e$$ is being approximated
by the sum
$$1+1+ \frac{1}{2}+\frac{1}{6} +\frac{1}{24} +\frac{1}{120} +... + \frac{1}{n!}$$
for increasing values of $$n$$. And just as we did with Riemann sums, we can use the summation notation
as a shorthand <<footnote [4] "Note that $$0!$$ appears in Equation ([eq:8.3~e~]). By definition,
$$0! = 1$$.">> for writing the sum in ''Equation 8.11'' so
that
$$e \approx 1+1+ \frac{1}{2}+\frac{1}{6} +\frac{1}{24} +\frac{1}{120} +... + \frac{1}{n!} = \sum_{k=0}^n \frac{1}{k!}$$
We can calculate this sum using as large an $$n$$ as we want, and the
larger $$n$$ is the more accurate the approximation (''8.12'') is.
Ultimately, this argument shows that we can write the number $$e$$ as the
infinite sum
$$e =\sum_{k=0}^{\infty} \frac{1}{k!} .
This sum is an example of a ''series'' (or an ''infinite series''). Note
that the series (''8.13'') is the sum of the terms of the
(infinite) sequence $$\left\{\frac{1}{n!}\right\}$$. In general, we use
the following notation and terminology.
''Definition 8.3.'' An infinite series of real numbers is the sum of the entries in an infinite sequence of real numbers. In other words, an infinite series is sum of the form
$$a_1+a_2+ \cdots + a_n + \cdots = \sum_{k=1}^{\infty} a_k,$$
where $$a_1$$, $$a_2$$, $$\ldots$$, are real numbers.
We will normally use summation notation to identify a series. If the
series adds the entries of a sequence $$\{a_n\}_{n \geq 1}$$, then we will
write the series as
$$\sum_{k=1}^{\infty} a_k.$$
Note well: each of these notations is simply shorthand for the infinite
sum $$a_1 + a_2 + \cdots + a_n + \cdots$$.
Is it even possible to sum an infinite list of numbers? This question is
one whose answer shouldn’t come as a surprise. After all, we have used
the definite integral to add up continuous (infinite) collections of
numbers, so summing the entries of a sequence might be even easier.
Moreover, we have already examined the special case of geometric series
in the previous section. The next activity provides some more insight
into how we make sense of the process of summing an infinite list of
numbers.
The example in <<reference 8.3.Act1>> illustrates how we define the sum of
an infinite series. We can add up the first $$n$$ terms of the series to
obtain a new sequence of numbers (called the ''sequence of partial
sums''). Provide that sequence converges, the corresponding infinite
series is said to converge, and we say that we can find the sum of the
series.
''Definition 8.4.'' The ''//n//th partial sum'' of the series $$\sum_{k=1}^{\infty} a_k$$ is the finite sum $$S_n = \sum_{k=1}^{n} a_k.$$
In other words, the $$n$$th partial sum $$S_n$$ of a series is the sum of
the first $$n$$ terms in the series, or
$$S_n = a_1 + a_2 + \cdots + a_n.$$
We then investigate the behavior of a given series by examining the
sequence
$$S_1, S_2, \ldots, S_n, \ldots$$
of its partial sums. If the sequence of partial sums converges to some
finite number, then we say that the corresponding series ''converges''.
Otherwise, we say the series ''diverges''. From our work in
<<reference 8.3.Act1>>, the series
$$\sum_{k=1}^{\infty} \frac{1}{k^2}$$
appears to converge to some number near 1.54977. We formalize the
concept of convergence and divergence of an infinite series in the
following definition.
''Definition 8.5.'' The infinite series
$$\sum_{k=1}^{\infty} a_k$$
''converges'' (or is ''convergent'') if the sequence $$\{S_n\}$$ of partial
sums converges, where
$$S_n = \sum_{k=1}^n a_k.$$
If $$\lim_{n \to \infty} S_n = S$$, then we call $$S$$ the sum of the series
$$\sum_{k=1}^{\infty} a_k$$. That is,
$$\sum_{k=1}^{\infty} a_k = \lim_{n \to \infty} S_n = S.$$
If the sequence of partial sums does not converge, then the series
$$\sum_{k=1}^{\infty} a_k$$
''diverges'' (or is ''divergent'').
The early terms in a series do not contribute to whether or not the
series converges or diverges. Rather, the convergence or divergence of a
series
$$\sum_{k=1}^{\infty} a_k$$
is determined by what happens to the terms $$a_k$$ for very large values
of $$k$$. To see why, suppose that $$m$$ is some constant larger than 1.
Then
$$\sum_{k=1}^{\infty} a_k = (a_1+a_2+ \cdots + a_m) + \sum_{k=m+1}^{\infty} a_k.$$
Since $$a_1+a_2+ \cdots + a_m$$ is a finite number, the series
$$\sum_{k=1}^{\infty} a_k$$ will converge if and only if the series
$$\sum_{k=m+1}^{\infty} a_k$$ converges. Because the starting index of the
series doesn’t affect whether the series converges or diverges, we will
often just write
when we are interested in questions of convergence/divergence and not
necessarily the exact sum of a series.
In <<reference 8.2.Geometric>> we encountered the special family of
infinite geometric series whose convergence or divergence we completely
determined. Recall that a geometric series is a special series of the
form $$\sum_{k=0}^{\infty} ar^k$$ where $$a$$ and $$r$$ are real numbers (and
$$r \ne 1$$). We found that the $$n$$th partial sum $$S_n$$ of a geometric
series is given by the convenient formula
$$S_n = \frac{1-r^{n}}{1-r},$$
and thus a geometric series converges if $$|r| < 1$$. Geometric series
diverge for all other values of $$r$$. While we have completely determined
the convergence or divergence of geometric series, it is generally a
difficult question to determine if a given nongeometric series converges
or diverges. There are several tests we can use that we will consider in
the following sections.
The first question we ask about any infinite series is usually “Does the
series converge or diverge?” There is a straightforward way to check
that certain series diverge; we explore this test in the next activity.
The result of <<reference 8.3.Act2>> is the following important conditional
statement:
If the series $$\sum_{k = 1}^{\infty} a_k$$ converges, then the
sequence $$\{a_k\}$$ of $$k$$th terms converges to 0.
It is logically equivalent to say that if the sequence $$\{a_k\}$$ of $$n$$
terms does not converge to 0, then the series
$$ \sum_{k = 1}^{\infty} a_k$$ cannot converge. This statement is called
the Divergence Test.
''The Divergence Test.'' If $$ \lim_{k -> \infty} a_k \neq 0$$, then the series $$\sum a_k$$ diverges.
<span>''Note well:''</span> be very careful with the Divergence Test.
This test only tells us what happens to a series if the terms of the
corresponding sequence do not converge to 0. If the sequence of the
terms of the series does converge to 0, the Divergence Test does not
apply: indeed, as we will soon see, a series whose terms go to zero may
either converge or diverge.
The Divergence Test settles the questions of divergence or convergence
of series $$\sum a_k$$ in which $$\lim_{k \to \infty} a_k \neq 0$$.
Determining the convergence or divergence of series $$\sum a_k$$ in which
$$\lim_{k \to \infty} a_k = 0$$ turns out to be more complicated. Often,
we have to investigate the sequence of partial sums or apply some other
technique.
As an example, consider the ''harmonic'' series <<footnote [5] "This series is called harmonic because the each term in the series
after the first is the harmonic mean of the term before it and the
term after it. The harmonic mean of two numbers $$a$$ and $$b$$ is
$$\frac{2ab}{a+b}$$. See \`\`What’s Harmonic about the Harmonic
Series", by David E. Kullman (in the ''The College Mathematics
Journal'', Vol. 32, No. 3 (May, 2001), 201-203) for an interesting
discussion of the harmonic mean.
">>
$$\sum_{k=1}^{\infty} \frac{1}{k}.$$
''Table 8.3'' shows some partial sums of this series.
{{table.8.3.c}}
<center>
Table 8.5: Sums of some of the first terms of the sequence $$\sum_{k=1}^{\infty}\frac{1}{k} $$ .
This information doesn’t seem to be enough to tell us if the series
$$ \sum_{k=1}^{\infty} \frac{1}{k}$$ converges or diverges. The partial
sums could eventually level off to some fixed number or continue to grow
without bound. Even if we look at larger partial sums, such as
$$ \sum_{n=1}^{1000} \frac{1}{k} \approx 7.485470861$$, the result doesn’t
particularly sway us one way or another. The Integral Test is one way to
determine whether or not the harmonic series converges, and we explore
this further in the next activity.
The ideas from <<reference 8.3.Act4>> hold more generally. Suppose that $$f$$
is a continuous decreasing function and that $$a_k = f(k)$$ for each value
of $$k$$. Consider the corresponding series $$ \sum_{k=1}^{\infty} a_k$$.
The partial sum
$$S_n = \sum_{k=1}^{n} a_k$$
can always be viewed as a left hand Riemann sum of $$f(x)$$ using
rectangles with heights given by the values $$a_k$$ and bases of length 1.
A representative picture is shown at left in <<figreference multifig.8.3.integraltest>>. Since $$f$$ is a decreasing function, we have that
$$S_n > \int_1^n f(x) \ dx.$$
Taking limits as $$n$$ goes to infinity shows that
$$\sum_{k=1}^{\infty} a_k > \int_{1}^{\infty} f(x) \ dx.$$
Therefore, if the improper integral $$ \int_{1}^{\infty} f(x) \ dx$$
diverges, so does the series $$ \sum_{k=1}^{\infty} a_k$$.
<<multifigure multifig.8.3.integraltest>>
What’s more, if we look at the right hand Riemann sums of $$f$$ on $$[1,n]$$
as shown at right in Figure <<figreference multifig.8.3.integraltest>>, we see that
$$\int_{1}^{\infty} f(x) \ dx > \sum_{k=2}^{\infty} a_k.$$
So if $$ \int_{1}^{\infty} f(x) \ dx$$ converges, then so does
$$ \sum_{k=2}^{\infty} a_k$$, which also means that the series
$$ \sum_{k=1}^{\infty} a_k$$ converges. Our preceding discussion has
demonstrated the truth of the Integral Test.
<table>
''The Integral Test.'' Let $$f$$ be a real valued function and assume $$f$$
is decreasing and positive for all $$x$$ larger than some number $$c$$. Let
$$a_k = f(k)$$ for each positive integer $$k$$.
<br>
<br>
''1.'' If the improper integral $$ \int_{c}^{\infty} f(x) \, dx$$ converges, then
the series $$ \sum_{k=1}^{\infty} a_k$$ converges.
<br>
<br>
''2.'' If the improper integral $$ \int_{c}^{\infty} f(x) \, dx$$ diverges, then
the series $$ \sum_{k=1}^{\infty} a_k$$ diverges.
<br>
<br>
Note that the Integral Test compares a given infinite series to a
natural, corresponding improper integral and basically says that the
infinite series and corresponding improper integral both have the same
convergence status. In the next activity, we apply the Integral Test to
determine the convergence or divergence of a class of important series.
!!The Limit Comparison Test
The Integral Test allows us to determine the convergence of an entire
family of series: the $$p$$-series. However, we have seen that it is in
general difficult to integrate functions, so the Integral Test is not
one that we can use all of the time. In fact, even for a relatively
simple series like $$ \sum \frac{k^2+1}{k^4+2k+2}$$, the Integral Test is
not an option. In this section we will develop a test that we can use to
apply to series of rational functions like this by comparing their
behavior to the behavior of $$p$$-series.
<<reference 8.3.Act6>> illustrates how we can compare one series with
positive terms to another whose behavior (that is, whether the series
converges or diverges) we know. More generally, suppose we have two
series $$\sum a_k$$ and $$\sum b_k$$ with positive terms and we know the
behavior of the series $$\sum a_k$$. Recall that the convergence or
divergence of a series depends only on what happens to the terms of the
series for large values of $$k$$, so if we know that $$a_k$$ and $$b_k$$ are
essentially proportional to each other for large $$k$$, then the two
series $$\sum a_k$$ and $$\sum b_k$$ should behave the same way. In other words, if there is a positive
finite constant $$c$$ such that
$$\lim_{k \to \infty} \frac{b_k}{a_k} = c,$$
then $$b_k \approx ca_k$$ for large values of $$k$$. So
$$\sum b_k \approx \sum ca_k = c \sum a_k.$$
Since multiplying by a nonzero constant does not affect the convergence
or divergence of a series, it follows that the series $$\sum a_k$$ and
$$\sum b_k$$ either both converge or both diverge. The formal statement of
this fact is called the Limit Comparison Test.
<table>
''The Limit Comparison Test.'' Let $$\sum a_k$$ and $$\sum b_k$$ be series
with positive terms. If
<br>
<br>
<center>
$$\lim_{k \to \infty} \frac{b_k}{a_k} = c$$
</center>
<br>
<br>
for some positive (finite) constant $$c$$, then $$ \sum a_k$$ and
$$ \sum b_k$$
In essence, the Limit Comparison Test shows that if we have a series
$$\sum \frac{p(k)}{q(k)}$$ of rational functions where $$p(k)$$ is a
polynomial of degree $$m$$ and $$q(k)$$ a polynomial of degree $$l$$, then the
series $$\sum \frac{p(k)}{q(k)}$$ will behave like the series
$$\sum \frac{k^m}{k^l}$$. So this test allows us to quickly and easily
determine the convergence or divergence of series whose summands are
rational functions.
The Limit Comparison Test works well if we can find a series with known
behavior to compare. But such series are not always easy to find. In
this section we will examine a test that allows us to examine the
behavior of a series by comparing it to a geometric series, without
knowing in advance which geometric series we need.
We can generalize the argument in <<reference 8.3.Act8>> in the following
way. Consider the series $$ \sum a_k.$$ If
$$\frac{a_{k+1}}{a_k} \approx r$$
for large values of $$k$$, then $$a_{k+1} \approx ra_k$$ for large $$k$$ and
the series $$\sum a_k$$ is approximately the geometric series $$\sum ar^k$$
for large $$k$$. Since the geometric series with ratio $$r$$ converges only
for $$-1 < r < 1$$, we see that the series $$ \sum a_k$$ will converge if
$$\lim_{k \to \infty} \frac{a_{k+1}}{a_k} = r$$
for a value of $$r$$ such that $$|r| < 1$$. This result is known as the
Ratio Test.
<table>
''The Ratio Test.'' Let $$\sum a_k$$ be an infinite series. Suppose
<br>
<br>
<center>
$$\lim_{k \to \infty} \frac{|a_{k+1}|}{|a_k|} = r.$$
</center>
<br>
<br>
''1.'' If $$0 \leq r < 1$$, then the series $$\sum a_k$$ converges.
<br>
''2.'' If $$1 < r$$, then the series $$\sum a_k$$ diverges.
<br>
''3.'' If $$r = 1$$, then the test is inconclusive.
<span>''Note well:''</span> The Ratio Test takes a given series and
looks at the limit of the ratio of consecutive terms; in so doing, the
test is essentially asking, “is this series approximately geometric?” If
the series can be thought of as essentially geometric, the test use the
limiting common ratio to determine if the given series converges.
We have now encountered several tests for determining convergence or
divergence of series. The Divergence Test can be used to show that a
series diverges, but never to prove that a series converges. We used the
Integral Test to determine the convergence status of an entire class of
series, the $$p$$-series. The Limit Comparison Test works well for series
that involve rational functions and which can therefore by compared to
$$p$$-series. Finally, the Ratio Test allows us to compare our series to a
geometric series; it is particularly useful for series that involve
$$n$$th powers and factorials. Two other tests, the Direct Comparison Test
and the Root Test, are discussed in the exercises. Now it is time for
some practice.
!!Summary
---
In this section, we encountered the following important ideas:
---
* An infinite series is a sum of the elements in an infinite sequence. In other words, an infinite series is a sum of the form
$$a_1 + a_2 + \cdots + a_n + \cdots = \sum_{k=1}^{\infty} a_k$$
where $$a_k$$ is a real number for each positive integer $$k$$.
* The $$n$$th partial sum $$S_n$$ of the series $$\sum_{k=1}^{\infty} a_k$$ is the sum of the first $$n$$ terms of the series. That is,
$$S_n = a_1+a_2+ \cdots + a_n = \sum_{k=1}^{\infty} a_k.$$
* The sequence $$\{S_n\}$$ of partial sums of a series $$\sum_{k=1}^{\infty} a_k$$ tells us about the convergence or divergence
of the series. In particular
- The series $$\sum_{k=1}^{\infty} a_k$$ converges if the sequence $$\{S_n\}$$
of partial sums converges. In this case we saw that the series is the
limit of the sequence of partial sums and write
$$\sum_{k=1}^{\infty} a_k =\lim_{n \to \infty} S_n.$$
- The series $$\sum_{k=1}^{\infty} a_k$$ diverges if the sequence $$\{S_n\}$$
of partial sums diverges.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Remember that, by definition, a series converges if and only if its corresponding sequence of partial sums converges.
''a)'' Complete ''Table 8.7'' by calculating the first few
partial sums (to 10 decimal places) of the alternating series
$$\sum_{k=1}^{\infty} (-1)^{k+1}\frac{1}{k}.$$
''b)'' Plot the sequence of partial sums from part (a) in the plane. What do
you notice about this sequence?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
The completed table is shown below.
The entries in the sequence of partial sums from part (a) is shown in
the figure below.
Notice that the partial sums seem to oscillate back and forth around
some fixed number, getting closer to that fixed number at each
successive step. So there appears to be a limit for this sequence of
partial sums.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Which series converge and which diverge? Justify your answers.
''a)'' $$\sum_{k=1}^{\infty} \frac{(-1)^k}{k^2+2}$$
''b)'' $$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}2k}{k+5}$$
''c)'' $$\sum_{k=2}^{\infty} \frac{(-1)^{k}}{\ln(k)}$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Since $$(k+1)^2 + 2 > k^2+2$$ it follows that
$$\frac{1}{(k+1)^2+2} < \frac{1}{k^2+2}$$ and the sequence
$$\frac{1}{k^2+2}$$ decreases to 0. The Alternating Series Test shows then
that the series $$\sum_{k=1}^{\infty} \frac{(-1)^k}{k^2+2}$$
converges.
In this case we have that $$\lim_{k \to \infty} \frac{2k}{k+5} = 2$$ and
so the sequence of $$k$$th terms does not even converge to 0. So the
series $$\sum_{k=1}^{\infty} \frac{2(-1)^{k+1}k}{k+5}$$ diverges by
the Divergence Test.
We know that the natural log is an increasing function, so
$$\frac{1}{\ln(k)}$$ is a decreasing function. It is also true that
$$\lim_{k \to \infty} \frac{1}{\ln(k)} = 0$$ and so the series
$$\sum_{k=2}^{\infty} \frac{(-1)^{k}}{\ln(k)}$$ converges by the
Alternating Series Test.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine the number of terms it takes to approximate the sum of the convergent alternating series
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k^4}$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
First note that the sequence $$\left\{\frac{1}{k^4}\right\}$$
decreases to 0, so the series
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k^4}$$ converges by the
Alternating Series Test. Let $$S$$ be the sum
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k^4}$$ and $$S_n$$ the $$n$$th
partial sum of the series. We know that
$$|S - S_n| < a_{n+1} = \frac{1}{(n+1)^4}.$$
So we only need to determine the value of $$n$$ so that
$$\frac{1}{(n+1)^4} < 0.0001.$$
This happens when $$(n+1)^4 < 10000$$ or when $$n+1 > 10$$. So $$n = 10$$ will
do. A computer algebra system gives $$S_{10} \approx 0.9469925924$$ while
$$\frac{7}{720} \pi^4 \approx 0.9470328299$$. These do agree to $$0.0001$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Explain why the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
must have a sum that is less than the series
$$\sum_{k=1}^{\infty} \frac{1}{k^2}.$$
''b)'' Explain why the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
must have a sum that is greater than the series
$$\sum_{k=1}^{\infty} -\frac{1}{k^2}.$$
Given that the terms in the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
converge to 0, what do you think the previous two results tell us about
the convergence status of this series?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Each term in the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
is of the form $$\frac{1}{k^2}$$ or $$-\frac{1}{k^2}$$. Since each of these
terms is less than or equal to $$\frac{1}{k^2}$$ it follows that
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots < \sum_{k=1}^{\infty} \frac{1}{k^2}.$$
Each term in the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
is of the form $$\frac{1}{k^2}$$ or $$-\frac{1}{k^2}$$. Since each of these
terms is greater than or equal to $$-\frac{1}{k^2}$$ it follows that
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots > \sum_{k=1}^{\infty} -\frac{1}{k^2}.$$
We know that $$\sum_{k=1}^{\infty} \frac{1}{k^2}$$ is a $$p$$-series
with $$p = 2 > 1$$ and so is a convergent series. Since
$$\sum_{k=1}^{\infty} \frac{1}{k^2} = -\sum_{k=1}^{\infty} \frac{1}{k^2}$$,
the series $$\sum_{k=1}^{\infty} -\frac{1}{k^2}$$ also converges.
Since the terms in the series
$$1 - \frac{1}{4} - \frac{1}{9} + \frac{1}{16} + \frac{1}{25} + \frac{1}{36} - \frac{1}{49} - \frac{1}{64} - \frac{1}{81} - \frac{1}{100} + \cdots$$
converge to 0 and the series itself is bounded between two convergent
series, we should expect this series to converge to some finite number
between $$\sum_{k=1}^{\infty} -\frac{1}{k^2}$$ and
$$\sum_{k=1}^{\infty} \frac{1}{k^2}$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Consider the series $$\sum (-1)^k \frac{\ln(k)}{k}$$.
''i.'' Does this series converge? Explain.
''ii.'' Does this series converge absolutely? Explain what test you use to
determine your answer.
''b)'' Consider the series $$\sum (-1)^k \frac{\ln(k)}{k^2}$$.
''i.'' Does this series converge? Explain.
''ii.'' Does this series converge absolutely? Hint: Use the fact that
$$\ln(k) < \sqrt{k}$$ for large values of $$k$$ and the compare to an
appropriate $$p$$-series.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
$$\lim_{k \to \infty} \frac{\ln(k)}{k} = \lim_{k \to \infty} \frac{1}{k} = 0.$$
Also, $$\frac{d}{dk} \frac{\ln(k)}{k} = \frac{1-ln(k)}{k^2}$$ is negative
when $$k > e$$, so the sequence $$\left\{ \frac{\ln(k)}{k} \right\}$$
ultimately decreases to 0. Since the first few terms in a series are
irrelevant to its convergence or divergence, we conclude that the series
$$\sum (-1)^k \frac{\ln(k)}{k}$$ converges by the Alternating Series
test.
Note that
~t\\ ~ ~1~^t^ &= ~t\\ ~ . |~1~^t^\
Since the improper integral diverges, the Integral Test shows that the
series $$\sum (-1)^k \frac{\ln(k)}{k}$$ diverges. So the series
$$\sum (-1)^k \frac{\ln(k)}{k}$$ converges conditionally.
By L’Hopital’s Rule we have
$$\lim_{k \to \infty} \frac{\ln(k)}{k^2} = \lim_{k \to \infty} \frac{1}{2k^2} = 0.$$
Also,
$$\frac{d}{dk} \frac{\ln(k)}{k^2} = \frac{k-2kln(k)}{k^4} = \frac{1-2ln(k)}{k^3}$$
is negative when $$k > e$$, so the sequence
$$\left\{ \frac{\ln(k)}{k^2} \right\}$$ ultimately decreases to 0. Since
the first few terms in a series are irrelevant to its convergence or
divergence, we conclude that the series
$$\sum (-1)^k \frac{\ln(k)}{k^2}$$ converges by the Alternating Series
test.
Notice that
$$\lim_{k \to \infty} \frac{ \ln(k) }{ k^{1/2} } = \lim_{k \to \infty} \frac{2}{k^{1/2}} = 0,$$
So $$\frac{1}{\sqrt{k}}$$ dominates $$\ln(k)$$ and $$\ln(k) < sqrt{k}$$ for
large $$k$$. It follows that
$$\frac{\ln(k)}{k^2} < \frac{ \sqrt{k} }{k^2} = \frac{1}{k^{3/2}}$$ for
large $$k$$. Therefore,
$$\sum \frac{\ln(k)}{k^2} < \sum \frac{1}{k^{3/2}}$$
for large $$k$$. Since $$\sum \frac{1}{k^{3/2}}$$ is a $$p$$-series with
$$p=\frac{3}{2} > 1$$, the series $$\sum \frac{1}{k^{3/2}}$$ converges.
This forces the series $$\sum \frac{\ln(k)}{k^2}$$ to converge as well. So
$$\sum (-1)^k \frac{\ln(k)}{k^2}$$ converges absolutely.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
For ''( a )'' - ''( j )'', use appropriate tests to determine the convergence or divergence of the following series. Throughout, if a series is a convergent geometric series, find its sum.
\ba
''a)'' $$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k-2}}$$
''b)'' $$\sum_{k=1}^{\infty} \ \frac{k}{1+2k}$$
''c)'' $$\sum_{k=0}^{\infty} \ \frac{2k^2+1}{k^3+k+1}$$
''d)'' $$\sum_{k=0}^{\infty} \ \frac{100^k}{k!}$$
''e)'' $$\sum_{k=1}^{\infty} \ \frac{2^k}{5^k}$$
''f)'' $$\sum_{k=1}^{\infty} \ \frac{k^3-1}{k^5+1}$$
''g)'' $$\sum_{k=2}^{\infty} \ \frac{3^{k-1}}{7^k}$$
''h)'' $$\sum_{k=2}^{\infty} \ \frac{1}{k^k}$$
''i)'' $$\sum_{k=1}^{\infty} \ \frac{(-1)^{k+1}}{\sqrt{k+1}}$$
''j)'' $$\sum_{k=2}^{\infty} \ \frac{1}{k \ln(k)}$$
''k)'' Determine a value of $$n$$ so that the $$n$$th partial sum $$S_n$$ of the
alternating series $$\sum_{n=2}^{\infty} \frac{(-1)^n}{\ln(n)}$$
approximates the sum to within 0.001.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
For large values of $$k$$, $$\frac{2}{\sqrt{k-2}}$$ looks like
$$\frac{2}{\sqrt{k}}$$. We will use the Limit Comparison Test to compare
these two series:
Since this limit is a positive constant, we know that the two series
$$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k-2}}$$ and
$$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k}}$$ either both converge or
both diverge. Now
$$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k}} = 2\sum_{k=3}^{\infty} \ \frac{1}{k^{1/2}}$$
is constant times a $$p$$-series with $$p=\frac{1}{2}$$, so
$$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k}}$$ diverges. Therefore,
$$\sum_{k=3}^{\infty} \ \frac{2}{\sqrt{k-2}}$$ diverges as well.
Note that
$$\lim_{k \to \infty} \frac{k}{1+2k} = \lim_{k \to \infty} \frac{k}{2k} = \frac{1}{2},$$
so the Divergence Test shows that
$$\sum_{k=1}^{\infty} \ \frac{k}{1+2k}$$ diverges.
For large values of $$k$$, $$\frac{2k^2+1}{k^3+k+1}$$ looks like
$$\frac{2}{k}$$. We will use the Limit Comparison Test to compare these
two series:
Since this limit is a positive constant, we know that the two series
$$\sum_{k=1}^{\infty} \ \frac{2k^2+1}{k^3+k+1}$$ and
$$\sum_{k=1}^{\infty} \ \frac{2}{k}$$ either both converge or both
diverge. Now
$$\sum_{k=1}^{\infty} \ \frac{2}{k} = 2\sum_{k=1}^{\infty} \ \frac{1}{k}$$
is constant times a $$p$$-series with $$p=1$$, so
$$\sum_{k=1}^{\infty} \ \frac{2}{k}$$ diverges. Therefore,
$$\sum_{k=0}^{\infty} \ \frac{2k^2+1}{k^3+k+1}$$ diverges as well.
Series that involve factorials are good candidates for the Ratio Test:
Since this limit is 0, the Ratio Test tells us that the series
$$\sum_{k=0}^{\infty} \ \frac{100^k}{k!}$$ converges.
Notice that
$$\sum_{k=1}^{\infty} \ \frac{2^k}{5^k} = \sum_{k=1}^{\infty} \ \left(\frac{2}{5}\right)^k$$
is a geometric series with ratio $$\frac{2}{5}$$. Let’s write out the
first few terms to identify the value of $$a$$:
$$\sum_{k=1}^{\infty} \ \left(\frac{2}{5}\right)^k = \frac{2}{5} + \left(\frac{2}{5}\right)^2 + \left(\frac{2}{5}\right)^3 + \cdots = \left(\frac{2}{5}\right)\left[ 1 + \frac{2}{5} + \left(\frac{2}{5}\right)^2 + \cdots \right].$$
So $$a = \frac{2}{5}$$. Since the ratio of this geometric series is
between $$-1$$ and 1, the series converges. The sum of the series is
$$\sum_{k=1}^{\infty} \ \frac{2^k}{5^k} = \left(\frac{2}{5}\right) \left(\frac{1}{1-\frac{2}{5}} \right) = \left(\frac{2}{5}\right)\left(\frac{5}{3}\right) = \frac{2}{3}.$$
For large values of $$n$$, $$\frac{k^3-1}{k^5+1}$$ looks like
$$\frac{k^3}{k^5}=\frac{1}{k^2}$$. We will use the Limit Comparison Test
to compare $$\sum_{k=1}^{\infty} \ \frac{k^3-1}{k^5+1}$$ and
$$\sum_{k=1}^{\infty} \ \frac{1}{k^2}$$:
Since this limit is 1, we know that the two series
$$\sum_{k=1}^{\infty} \ \frac{k^3-1}{k^5+1}$$ and
$$\sum_{k=1}^{\infty} \ \frac{1}{k^2}$$ either both converge or both
diverge. Now $$\sum_{k=1}^{\infty} \ \frac{1}{k^2}$$ is a $$p$$-series
with $$p=2$$, so $$\sum_{k=1}^{\infty} \ \frac{1}{k^2}$$ converges.
Therefore, $$\sum_{k=1}^{\infty} \ \frac{k^3-1}{k^5+1}$$ converges as
well.
This series looks geometric, but to be sure let’s write out the first
few terms of this series:
$$\sum_{k=2}^{\infty} \ \frac{3^{k-1}}{7^k} = \frac{3}{7^2} + \frac{3^2}{7^3} + \frac{3^3}{7^4} + \cdots = \left( \frac{3}{7^2} \right) \left[1 + \frac{3}{7} + \left( \frac{3}{7} \right)^2 + \left( \frac{3}{7} \right)^3 + \cdots \right].$$
So $$\sum_{k=2}^{\infty} \ \frac{3^{k-1}}{7^k}$$ is a geometric series
with $$a = \frac{3}{49}$$ and $$r = \frac{3}{7}$$. Since the ratio of this
geometric series is between $$-1$$ and 1, the series converges. The sum of
the series is
~k=2~^^ &= () ( )\
&= ()()\
&= .
$$\sum_{k=2}^{\infty} \ \frac{1}{k^k}$$
This series is an alternating series of the form
$$\sum_{k=1}^{\infty} (-1)^{k+1} a_k$$ with
$$a_k = \frac{1}{\sqrt{k+1}}$$. Since
$$\lim_{k \to \infty} \frac{1}{\sqrt{k+1}} = 0$$
and $$\frac{1}{\sqrt{k+1}}$$ decreases to 0, the Alternating Series Test
shows that $$\sum_{k=1}^{\infty} \ \frac{(-1)^{k+1}}{\sqrt{k+1}}$$
converges.
For this example we will use the Integral Test with the substitution
$$w = \ln(x)$$, $$dw = \frac{1}{x} \ dx$$:
~2~^^ dx &= ~b\\ ~ ~2~^b^ dx\
&= ~b\\ ~ (w) |~(2)~^(b)^\
Since $$\int_2^{\infty} \frac{1}{x \ln(x)} \ dx$$ diverges, we
conclude $$\sum_{k=2}^{\infty} \ \frac{1}{k \ln(k)}$$ diverges.
First note that the terms $$\frac{1}{\ln(k)}$$ decrease to $$0$$, so the
Alternating Series Test shows that the alternating series
$$\sum_{k=2}^{\infty} \frac{(-1)^k}{\ln(k)}$$ converges. Let
$$S = \sum_{k=2}^{\infty} \frac{(-1)^k}{\ln(k)}$$ and let $$S_n$$ be the
$$n$$th partial sum of this series. Recall that
$$|S_n - S| < |S_n - S_{n+1}| = a_{n+1}$$
where $$a_{n+1} = \frac{1}{\ln(n+1)}$$. If we can find a value of $$n$$ so
that $$a_{n+1} < 0.001$$, then $$|S_n - S| < 0.001$$ as desired. Now
So if we choose $$n = e^{1000}$$, then $$S_n$$ approximates the sum of the
series to within 0.001. Notice that
$$e^{1000} \approx 1.97 \times 10^{434}$$ is a very large number. This
shows that the series $$\sum_{k=2}^{\infty} \frac{(-1)^k}{\ln(k)}$$
converges very slowly.
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
Conditionally convergent series converge very slowly. As an example,
consider the famous formula <<footnote [6] "We will derive this formula in upcoming work.">>
$$\frac{\pi}{4}= 1 - \frac{1}{3}+ \frac{1}{5}- \frac{1}{7}+... = \sum_{k=0}^{\infty} (-1)^k \cdot \frac{1}{2k+1}$$
In theory, the partial sums of this series could be used to approximate
$$\pi$$.
''a)'' Show that the series in ([Ex:8.4~p~i]) converges conditionally.
''b)'' Let $$S_n$$ be the $$n$$th partial sum of the series in Series (''8.17'').
Calculate the error in approximating $$\frac{\pi}{4}$$ with $$S_{100}$$ and
explain why this is not a very good approximation.
''c)'' Determine the number of terms it would take in the series (''8.17'')
to approximate $$\frac{\pi}{4}$$ to 10 decimal places. (The fact that it
takes such a large number of terms to obtain even a modest degree of
accuracy is why we say that conditionally convergent series converge
very slowly.)
''2.'' We have shown that if $$\sum (-1)^{k+1} a_k$$ is a convergent alternating
series, then the sum $$S$$ of the series lies between any two consecutive
partial sums $$S_n$$. This suggests that the average
$$\frac{S_n+S_{n+1}}{2}$$ is a better approximation to $$S$$ than is $$S_n$$.
''a)'' Show that $$\frac{S_n+S_{n+1}}{2} = S_n + \frac{1}{2}(-1)^{n+2} a_{n+1}$$.
''b)'' Use this revised approximation in (a) with $$n = 20$$ to approximate
$$\ln(2)$$ given that
$$\ln(2) = \sum_{k=1}^{\infty} (-1)^{k+1} \frac{1}{k}.$$
Compare this to the approximation using just $$S_{20}$$. For your
convenience, $$S_{20} = \frac{155685007}{232792560}$$.
''3.'' In this exercise, we examine one of the conditions of the Alternating
Series Test. Consider the alternating series
$$1 - 1 + \frac{1}{2} - \frac{1}{4} + \frac{1}{3} - \frac{1}{9} + \frac{1}{4} - \frac{1}{16} + \cdots,$$
where the terms are selected alternately from the sequences
$$\left\{\frac{1}{n}\right\}$$ and $$\left\{-\frac{1}{n^2}\right\}$$.
''a)'' Explain why the $$n$$th term of the given series converges to 0 as $$n$$
goes to infinity.
''b)'' Rewrite the given series by grouping terms in the following manner:
$$(1 - 1) + \left(\frac{1}{2} - \frac{1}{4}\right) + \left(\frac{1}{3} - \frac{1}{9}\right) + \left(\frac{1}{4} - \frac{1}{16}\right) + \cdots.$$
Use this regrouping to determine if the series converges or diverges.
''c)'' Explain why the condition that the sequence $$\{a_n\}$$ ''decreases'' to a
limit of 0 is included in the Alternating Series Test.
''4.'' Conditionally convergent series exhibit interesting and unexpected
behavior. In this exercise we examine the conditionally convergent
alternating harmonic series
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}$$ and discover that
addition is not commutative for conditionally convergent series. We will
also encounter Riemann’s Theorem concerning rearrangements of
conditionally convergent series. Before we begin, we remind ourselves
that
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k} = \ln(2),$$
a fact which will be verified in a later section.
''a)'' First we make a quick analysis of the positive and negative terms of the
alternating harmonic series.
''i.'' Show that the series $$\sum_{k=1}^{\infty} \frac{1}{2k}$$ diverges.
''ii.'' Show that the series $$\sum_{k=1}^{\infty} \frac{1}{2k+1}$$ diverges.
''iii.'' Based on the results of the previous parts of this exercise, what can we
say about the sums $$\sum_{k=C}^{\infty} \frac{1}{2k}$$ and
$$\sum_{k=C}^{\infty} \frac{1}{2k+1}$$ for any positive integer $$C$$?
Be specific in your explanation.
''b)'' Recall addition of real numbers is commutative; that is
for any real numbers $$a$$ and $$b$$. This property is valid for any sum of
finitely many terms, but does this property extend when we add
infinitely many terms together?
The answer is no, and something even more odd happens. Riemann’s Theorem
(after the nineteenth-century mathematician Georg Friedrich Bernhard
Riemann) states that a conditionally convergent series can be rearranged
to converge to ''any'' prescribed sum. More specifically, this means that
if we choose any real number $$S$$, we can rearrange the terms of the
alternating harmonic series
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}$$ so that the sum is $$S$$.
To understand how Riemann’s Theorem works, let’s assume for the moment
that the number $$S$$ we want our rearrangement to converge to is
positive. Our job is to find a way to order the sum of terms of the
alternating harmonic series to converge to $$S$$.
''i.'' Explain how we know that, regardless of the value of $$S$$, we can find a
partial sum $$P_1$$ of the positive terms
$$P_1 = \sum_{k=1}^{n_1} \frac{1}{2k+1} = 1 + \frac{1}{3} + \frac{1}{5} + \cdots + \frac{1}{2n_1+1}$$
of the positive terms of the alternating harmonic series that equals or
exceeds $$S$$. Let $$S_1 = P_1.$$
''ii.'' Explain how we know that, regardless of the value of $$S_1$$, we can find
a partial sum $$N_1$$
$$N_1 = -\sum_{k=1}^{m_1} \frac{1}{2k} = -\frac{1}{2} - \frac{1}{4} - \frac{1}{6} - \cdots - \frac{1}{2m_1}$$
$$S_2 = S_1 + N_1 \leq S.$$
''iii.'' Explain how we know that, regardless of the value of $$S_2$$, we can find
a partial sum $$P_2$$
$$P_2 = \sum_{k=n_1+1}^{n_2} \frac{1}{2k+1} = \frac{1}{2(n_1+1)+1} + \frac{1}{2(n_1+2)+1} + \cdots + \frac{1}{2n_2+1}$$
of the remaining positive terms of the alternating harmonic series so
that
$$S_3 = S_2 + P_2 \geq S.$$
''iv.'' Explain how we know that, regardless of the value of $$S_3$$, we can find
a partial sum
$$N_2 = -\sum_{k=m_1+1}^{m_2} \frac{1}{2k} = -\frac{1}{2(m_1+1)} - \frac{1}{2(m_1+2)} - \cdots - \frac{1}{2m_2}$$
of the remaining negative terms of the alternating harmonic series so
that
$$S_4 = S_3 + N_2 \leq S.$$
''v.'' Explain why we can continue this process indefinitely and find a
sequence $$\{S_n\}$$ whose terms are partial sums of a rearrangement of
the terms in the alternating harmonic series so that
$$\lim_{n \to \infty} S_n = S$$.
What is an alternating series?
What does it mean for an alternating series to converge?
Under what conditions does an alternating series converge? Why?
How well does the $$n$$th partial sum of a convergent alternating series
approximate the actual sum of the series? Why?
What is the difference between absolute convergence and conditional
convergence?
In our study of series so far, almost every series that we’ve considered
has exclusively nonnegative terms. Of course, it is possible to consider
series that have some negative terms. For instance, if we consider the
geometric series
$$2 - \frac{4}{3} + \frac{8}{9} - \cdots + 2 \left( \frac{-2}{3} \right)^n + \cdots,$$
which has $$a = 2$$ and $$r = -\frac{2}{3}$$, we see that not only does
every other term alternate in sign, but also that this series converges
to
$$S = \frac{a}{1-r} = \frac{2}{1- \left(-\frac{2}{3}\right)} = \frac{6}{5}.$$
In <<reference 8.4.PA1>> and our following discussion, we
investigate the behavior of similar series where consecutive terms have
opposite signs.
<<reference 8.4.PA1>> gives us several approximations to $$\ln(2)$$,
the linear approximation is 1 and the quadratic approximation is
$$1 - \frac{1}{2} = \frac{1}{2}$$. If we continue this process we will
obtain approximations from cubic, quartic (degree 4), quintic (degree
5), and higher degree polynomials giving us the following approximations
to $$\ln(2)$$:
The pattern here shows the fact that the number $$\ln(2)$$ can be
approximated by the partial sums of the infinite series
$$\sum_{k=1}^{\infty} (-1)^{k+1} \frac{1}{k} $$
where the alternating signs are determined by the factor $$(-1)^{k+1}$$.
Using computational technology, we find that 0.6881721793 is the sum of
the first 100 terms in this series. As a comparison,
$$\ln(2) \approx 0.6931471806$$. This shows that even though the
series (''8.15'') converges to $$\ln(2)$$, it must do so quite slowly,
since the sum of the first 100 terms isn’t particularly close to
$$\ln(2)$$. We will investigate the issue of how quickly an alternating
series converges later in this section. Again, note particularly that
the series (''8.15'') is different from the series we have consider
earlier in that some of the terms are negative. We call such a series an
''alternating series''.
''Definition 8.6.'' An alternating series is a series of the form
$$\sum_{k=0}^{\infty} (-1)^k a_k,$$
where $$a_k \geq 0$$ for each $$k$$.
We have some flexibility in how we write an alternating series; for
example, the series
$$\sum_{k=1}^{\infty} (-1)^{k+1} a_k,$$
whose index starts at $$k = 1$$, is also alternating. As we will soon see,
there are several very nice results that hold about alternating series,
while alternating series can also demonstrate some unusual behaivior.
It is important to remember that most of the series tests we have seen
in previous sections apply only to series with nonnegative terms. Thus,
alternating series require a different test. To investigate this idea,
we return to the example in <<reference 8.4.PA1>>.
<<reference 8.4.Act1>> exemplifies the general behavior that any convergent
alternating series will demonstrate. In this example, we see that the
partial sums of the alternating harmonic series oscillate around a fixed
number that turns out to be the sum of the series.
[img width="80%"[table.8.4.b]]
Recall that if $$ \lim_{k \to \infty} a_k \neq 0$$, then the series
$$\sum a_k$$ diverges by the Divergence Test. From this point forward, we
will thus only consider alternating series
$$\sum_{k=1}^{\infty} (-1)^{k+1} a_k$$
in which the sequence $$a_k$$ consists of positive numbers that decrease
to 0. For such a series, the $$n$$th partial sum $$S_n$$ satisfies
$$S_n = \sum_{k=1}^n (-1)^{k+1} a_k.$$
* $$S_2 = a_1 - a_2$$, and since $$a_1 > a_2$$ we have
* $$S_3 = S_2+a_3$$ and so $$S_2 < S_3$$. But $$a_3 < a_2$$, so $$S_3 < S_1$$. Thus,
$$S_4 = S_3-a_4$$ and so $$S_4 < S_3$$. But $$a_4 < a_3$$, so $$S_2 < S_4$$.
Thus,
$$0 < S_2 < S_4 < S_3 < S_1.$$
$$S_5 = S_4+a_5$$ and so $$S_4 < S_5$$. But $$a_5 < a_4$$, so $$S_5 < S_3$$.
Thus,
$$0 < S_2 < S_4 < S_5 < S_3 < S_1.$$
This pattern continues as illustrated in Figure
<<figreference 8_4_Alternating_Series_Test.svg>> (with $$n$$ odd) so that each partial
sum lies between the previous two partial sums. Note further that the
absolute value of the difference between the $$(n-1)$$st partial sum
$$S_{n-1}$$ and the $$n$$th partial sum $$S_n$$ is
$$\left| S_n - S_{n-1} \right| = a_n.$$
Since the sequence $$\{a_n\}$$ converges to 0, the distance between
successive partial sums becomes as close to zero as we’d like, and thus
the sequence of partial sums converges (even though we don’t know the
exact value to which the sequence of partial sums converges).
The preceding discussion has demonstrated the truth of the Alternating
Series Test.
<<figure 8_4_Alternating_Series_Test.svg>>
<table>
''The Alternating Series Test.'' The alternating series
<br>
<br>
<center>
$$\sum (-1)^k a_k$$
</center>
<br>
<br>
converges if and only if the sequence {ak } of positive terms decreases to $$0$$ as $$k -> \infty$$.
Note particularly that if the limit of the sequence $$\{a_k\}$$ is not 0,
then the alternating series diverges.
The argument for the Alternating Series Test also provides us with a
method to determine how close the $$n$$th partial sum $$S_n$$ is to the
actual sum of a convergent alternating series. To see how this works,
let $$S$$ be the sum of a convergent alternating series, so
$$S = \sum_{k=1}^{\infty} (-1)^k a_k.$$
Recall that the sequence of partial sums oscillates around the sum $$S$$
so that
$$\left|S - S_n \right| < \left| S_{n+1} - S_n \right| = a_{n+1}.$$
Therefore, the value of the term $$a_{n+1}$$ provides an error estimate
for how well the partial sum $$S_n$$ approximates the actual sum $$S$$. We
summarize this fact in the statement of the Alternating Series
Estimation Theorem.
<table>
''Alternating Series Estimation Theorem.'' If the alternating series
<br>
<br>
<center>
$$\sum_{k=1}^{\infty} (-1)^{k+1}a_k$$
</center>
<br>
<br>
converges and has sum $$S$$, and
<br>
<br>
<center>
$$S_n = \sum_{k=1}^{n} (-1)^{k+1}a_k$$
</center>
<br>
<br>
is the $$n$$th partial sum of the alternating series, then
<br>
<br>
<center>
$$|\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k}| \leq a_{n+1} $$
<br>
<br>
''Example 8.1.'' Let’s determine how well the 100th partial sum $$S_{100}$$ of
$$\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}$$
approximates the sum of the
series.
''Solution.'' If we let $$S$$ be the sum of the series
$$ \sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}$$, then we know that
$$\left| S_{100} - S \right| < a_{101}.$$
$$a_{101} = \frac{1}{101} \approx 0.0099,$$
so the 100th partial sum is within 0.0099 of the sum of the series. We
have discussed the fact (and will later verify) that
$$S = \sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k} = \ln(2),$$
and so $$S \approx 0.693147$$
while
$$S_{100} = \sum_{k=1}^{100} \frac{(-1)^{k+1}}{k} \approx 0.6881721793.$$
We see that the actual difference between $$S$$ and $$S_{100}$$ is
approximately $$0.0049750013$$, which is indeed less than $$0.0099$$.
---
!!Absolute and Conditional Convergence
$$ 1-\frac{1}{4}-\frac{1}{9}+\frac{1}{16}+\frac{1}{25}+\frac{1}{36}-\frac{1}{9}-\frac{1}{49}-\frac{1}{81}- \frac{1}{100}- \frac{1}{100} +...$$
whose terms are neither all nonnegative nor alternating is different
from any series that we have considered to date. The behavior of these
series can be rather complicated, but there is an important connection
between these arbitrary series that have some negative terms and series
with all nonnegative terms that we illustrate with the next activity.
As the example in <<reference 8.4.Act4>> suggests, if we have a series
$$ \sum a_k,$$ (some of whose terms may be negative) such that $$ \sum |a_k|$$ converges, it turns out to always be the case that the original series,
$$ \sum a_k$$, must also converge. That is, if $$ \sum | a_k |$$ converges, then so must $$ \sum a_k.$$
As we just observed, this is the case for the series
([eq:8.4~a~bs~c~onvergence]), since the corresponding series of the
absolute values of its terms is the convergent $$p$$-series
$$ \sum \frac{1}{k^2}$$. At the same time, there are series like the
alternating harmonic series $$ \sum (-1)^{k+1} \frac{1}{k}$$ that
converge, while the corresponding series of absolute values,
$$ \sum \frac{1}{k}$$, diverges. We distinguish between these behaviors by
introducing the following language.
''Definition 8.7.'' Consider a series $$\sum a_k$$ .
''1.'' The series $$\sum a_k$$ ''converges absolutely'' (or is ''absolutely
convergent'') provided that $$\sum | a_k |$$ converges.
''2.'' The series $$\sum a_k$$ ''converges conditionally'' (or is ''conditionally
convergent'') provided that $$\sum | a_k |$$ diverges and $$\sum a_k$$
converges.
In this terminology, the series (''8.16'') converges
absolutely while the alternating harmonic series is conditionally
convergent.
Conditionally convergent series turn out to be very interesting. If the
sequence $$\{a_n\}$$ decreases to 0, but the series $$\sum a_k$$ diverges,
the conditionally convergent series $$\sum (-1)^k a_k$$ is right on the
borderline of being a divergent series. As a result, any conditionally
convergent series converges very slowly. Furthermore, some very strange
things can happen with conditionally convergent series, as illustrated
in some of the exercises.
!!Summary of Tests for Convergence of Series
We have discussed several tests for convergence/divergence of series in
our sections and in exercises. We close this section of the text with a
summary of all the tests we have encountered, followed by an activity
that challenges you to decide which convergence test to apply to several
different series.
__''Geometric Series''__
The geometric series $$\sum ar^k$$ with ratio $$r$$
converges for $$-1 < r < 1$$ and diverges for $$|r| \geq 1$$.
The sum of
the convergent geometric series $$\displaystyle \sum_{k=0}^{\infty} ar^k$$
is $$\frac{a}{1-r}$$.\
__''Divergence Test''__
If the sequence $$a_n$$ does not converge to 0, then
the series $$\sum a_k$$ diverges.
This is the first test to apply because
the conclusion is simple. However, if $$\lim_{n \to \infty} a_n = 0$$, no
conclusion can be drawn.
__''Integral Test'' __
Let $$f$$ be a positive, decreasing function on an interval $$[c,\infty]$$
and let $$a_k = f(k)$$ for each positive integer $$k \geq c$$.
* If $$\int_c^{\infty} f(t) \ dt$$ converges, then $$\sum a_k$$ converges.
* If $$ \int_c^{\infty} f(t) \ dt$$ diverges, then $$\sum a_k$$ diverges.
Use this test when $$f(x)$$ is easy to integrate.\
__''Direct Comparision Test''__
(see Ex 4 in Section [S:8.3.Series])
Let $$0 \leq a_k \leq b_k$$ for each positive integer $$k$$.
* If $$\sum b_k$$ converges, then $$\sum a_k$$ converges.
* If $$\sum a_k$$ diverges, then $$\sum b_k$$ diverges.
Use this test when you have a series with known behavior that you can
compare to – this test can be difficult to apply.
__''Limit Comparison Test''__
Let $$a_n$$ and $$b_n$$ be sequences of positive
terms. If
$$\displaystyle \lim_{k \to \infty} \frac{a_k}{b_k} = L$$
for some positive finite number $$L$$, then the two series $$\sum a_k$$ and
$$\sum b_k$$ either both converge or both diverge. &Easier to apply in
general than the comparison test, but you must have a series with known
behavior to compare.
Useful to apply to series of rational functions.
__''Ratio Test''__
Let $$a_k \neq 0$$ for each $$k$$ and suppose
$$\displaystyle \lim_{k \to \infty} \frac{|a_{k+1}|}{|a_k|} = r.$$
* If $$r < 1$$, then the series $$\sum a_k$$ converges absolutely.
* If $$r > 1$$, then the series $$\sum a_k$$ diverges.
* If $$r=1$$, then test is inconclusive.
This test is useful when a series involves factorials and powers.\
__''Root Test''__
(see Exercise 2 in Section [S:8.3.Series])
Let
$$a_k \geq 0$$ for each $$k$$ and suppose
$$\lim_{k \to \infty} .^k \sqrt{a_k} = r.$$
* If $$r < 1$$, then the series $$\sum a_k$$ converges.
* If $$r > 1$$, then the series $$\sum a_k$$ diverges.
* If $$r=1$$, then test is inconclusive.
In general, the Ratio Test can usually be used in place of the Root
Test. However, the Root Test can be quick to use when $$a_k$$ involves
$$k$$th powers.
__''Alternating Series Test''__
If $$a_n$$ is a positive, decreasing sequence
so that $$\displaystyle \lim_{n \to \infty} a_n = 0$$, then the
alternating series $$\sum (-1)^{k+1} a_k$$ converges.
This test applies
only to alternating series – we assume that the terms $$a_n$$ are all
positive and that the sequence $$\{a_n\}$$ is decreasing.\
__''Alternating Series Estimation Theorem''__
Let
$$S_n = \displaystyle \sum_{k=1}^n (-1)^{k+1} a_k$$ be the $$n$$th partial
sum of the alternating series
$$\displaystyle \sum_{k=1}^{\infty} (-1)^{k+1} a_k$$. Assume $$a_n > 0$$ for
each positive integer $$n$$, the sequence $$a_n$$ decreases to 0 and
$$\displaystyle \lim_{n \to \infty} S_n = S$$. Then it follows that $$|S - S_n| < a_{n+1}.$$
This bound can be used to determine the accuracy of the partial sum
$$S_n$$ as an approximation of the sum of a convergent alternating
series.
!!Summary
---
In this section, we encountered the following important ideas:
---
* An alternating series is a series whose terms alternate in sign. In other words, an alternating series is a series of the form
where $$a_k$$ is a positive real number for each $$k$$.
* An alternating series $$\sum_{k=1}^{\infty} (-1)^ka_k$$ converges if and only if its sequence $$\{S_n\}$$ of partial sums converges, where
$$S_n = \sum_{k=1}^{n} (-1)^ka_k.$$
* The sequence of partial sums of a convergent alternating series oscillates around and converge to the sum of the series if the sequence of $$n$$th terms converges to 0. That is why the Alternating Series Test shows that the alternating series $$\sum_{k=1}^{\infty} (-1)^ka_k$$ converges whenever the sequence $$\{a_n\}$$ of $$n$$th terms decreases to 0.
* The difference between the $$n-1$$st partial sum $$S_{n-1}$$ and the $$n$$th partial sum $$S_n$$ of a convergent alternating series $$\sum_{k=1}^{\infty} (-1)^ka_k$$ is $$|S_n - S_{n-1}| = a_n$$. Since the partial sums oscillate around the sum $$S$$ of the series, it follows that
So the $$n$$th partial sum of a convergent alternating series
$$\sum_{k=1}^{\infty} (-1)^ka_k$$ approximates the actual sum of the
series to within $$a_n$$.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
<<reference 8.3.PA1>> showed how we can approximate the number $$e$$
with linear, quadratic, and other polynomial approximations. We use a
similar approach in this activity to obtain linear and quadratic
approximations to $$\ln(2)$$. Along the way, we encounter a type of series
that is different than most of the ones we have seen so far. Throughout
this activity, let $$f(x) = \ln(1+x)$$.
''a)'' Find the tangent line to $$f$$ at $$x=0$$ and use this linearization to
approximate $$\ln(2)$$. That is, find $$L(x)$$, the tangent line
approximation to $$f(x)$$, and use the fact that $$L(1) \approx f(1)$$ to
estimate $$\ln(2)$$.
''b)'' The linearization of $$\ln(1+x)$$ does not provide a very good
approximation to $$\ln(2)$$ since 1 is not that close to 0. To obtain a
better approximation, we alter our approach; instead of using a straight
line to approximate $$\ln(2)$$, we use a quadratic function to account for
the concavity of $$\ln(1+x)$$ for $$x$$ close to 0. With the linearization,
both the function’s value and slope agree with the linearization’s value
and slope at $$x=0$$. We will now make a quadratic approximation $$P_2(x)$$
to $$f(x) = \ln(1+x)$$ centered at $$x=0$$ with the property that
$$P_2(0) = f(0)$$, $$P'_2(0) = f'(0)$$, $$P''_2(0) = f''(0)$$.
''i.'' Let $$P_2(x) = x - \frac{x^2}{2}$$. Show that $$P_2(0) = f(0)$$,
$$P'_2(0) = f'(0)$$, $$P''_2(0) = f''(0)$$. Use $$P_2(x)$$ to approximate
$$\ln(2)$$ by using the fact that $$P_2(1) \approx f(1)$$.
''ii.'' We can continue approximating $$\ln(2)$$ with polynomials of larger degree
whose derivatives agree with those of $$f$$ at 0. This makes the
polynomials fit the graph of $$f$$ better for more values of $$x$$ around 0.
For example, let $$P_3(x) = x - \frac{x^2}{2}+\frac{x^3}{3}$$. Show that
$$P_3(0) = f(0)$$, $$P'_3(0) = f'(0)$$, $$P''_3(0) = f''(0)$$, and
$$P'''_3(0) = f'''(0)$$. Taking a similar approach to preceding questions,
use $$P_3(x)$$ to approximate $$\ln(2)$$.
''iii.'' If we used a degree 4 or degree 5 polynomial to approximate $$\ln(1+x)$$,
what approximations of $$\ln(2)$$ do you think would result? Use the
preceding questions to conjecture a pattern that holds, and state the
degree 4 and degree 5 approximation.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Find the 4th order Taylor polynomial for $$f(x) = \frac{1}{1+x}$$
Find the 3rd order Taylor polynomial for $$f(x) = \sqrt(1 + x)$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
f’(x) &= - &
& f’(0) &= -1\
f^(3)^(x) &= - &
& f^(3)^(0) &= -6\
f^(4)^(x) &= &
& f^(4)^(0) &= 24\
and so the 4th order Taylor polynomial for $$f$$ centered at $$x=0$$ is
$$f(0) + f'(0)x + \frac{f''(0)}{2} x^2 + \frac{f^{(3)}(0)}{3!} x^3 + \frac{f^{(4)}(0)}{4!} x^4 = 1 - x + x^2 - x^3 + x^4.$$
The first three derivatives of $$f$$ at $$x=3$$ are as follows:
f”(x) &= - &
& f”(3) &= -\
f^(3)^(x) &= &
& f^(3)^(3) &=\
and so the 3rd order Taylor polynomial for $$f$$ centered at $$x=3$$ is
$$f(3) + f'(3)(x-3) + \frac{f''(3)}{2} (x-3)^2 + \frac{f^{(3)}(3)}{3!} (x-3)^3 = 2 + \frac{1}{4} (x-3) - \frac{1}{512} (x-3)^2 + \frac{1}{16} (x-3)^3.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
We have just seen that the $$n$$th order Taylor polynomial centered at $$a = 0$$ for the exponential function $$e^x$$ is
$$\sum_{k=0}^{n} \frac{x^k}{k!}.$$
In this activity, we determine the $$n$$th order Taylor polynomials for
several other familiar functions and look for general patterns that will help us find the Taylor series expansions a bit later.
''a)''
Let $$f(x) = \frac{1}{1-x}$$.
''i.'' Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find a
general formula for $$f^{(k)}(0)$$.
''ii.'' Determine the $$n$$th order Taylor polynomial for $$f(x) = \frac{1}{1-x}$$
centered at $$x=0$$.
''iii.'' Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find a
general formula for $$f^{(k)}(0)$$. (Think about how $$k$$ being even or odd
affects the value of the $$k$$th derivative.)
''b.'' Determine the $$n$$th order Taylor polynomial for $$f(x) = \cos(x)$$
centered at $$x=0$$.
''c)'' Let $$f(x) = \sin(x)$$.
''i.'' Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find a
general formula for $$f^{(k)}(0)$$. (Think about how $$k$$ being even or odd
affects the value of the $$k$$th derivative.)
''ii.'' Determine the $$n$$th order Taylor polynomial for $$f(x) = \sin(x)$$
centered at $$x=0$$. Hint: Your answer should depend on whether $$n$$ is
even or odd.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
f(x) &= (x) &
& f(0) &= 1\
f’(x) &= -(x) &
& f’(0) &= 0\
f”(x) &= -(x) &
& f”(0) &= -1\
f^(3)^(x) &= (x) &
& f^(3)^(0) &= 0\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 1.\
It appears that the odd derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the even derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the even numbers can be represented in the form $$2k$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is odd } \ \ \ \text{ and } \ \ \ f^{2k}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\cos(x)$$ is
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{n/2}\frac{x^n}{n!}$$
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{(n-1)/2}\frac{x^(n-1)}{(n-1)!}$$
if $$n$$ is odd.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f(x) &= (x) &
& f(0) &= 0\
f’(x) &= (x) &
& f’(0) &= 1\
f”(x) &= -(x) &
& f”(0) &= 0\
f^(3)^(x) &= -(x) &
& f^(3)^(0) &= -1\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 0.\
It appears that the even derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the odd derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the odd numbers can be represented in the form $$2k+1$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is even } \ \ \ \text{ and } \ \ \ f^{2k+1}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\sin(x)$$ is
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{(n-1)/2}\frac{x^n}{n!}$$
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{n/2+1}\frac{x^{n-1}}{(n-1)!}$$
if $$n$$ is even.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f^(3)^(x) &= &
& f^(3)^(0) &= 3!\
f^(4)^(x) &= &
& f^(4)^(0) &= 4!.\
It appears that the pattern is $$f^{(k)}(0) = k!.$$
Determine the $$n$$ order Taylor polynomial for $$f(x) = \frac{1}{1-x}$$
centered at $$x=0$$.
The $$n$$th order Taylor polynomial for $$f$$ at $$x=0$$ is
$$\sum_{k=0}^n \frac{f^{(k)}}{k!} x^k = \sum_{k=0}^n \frac{k!}{k!} x^k = \sum_{k=0}^n x^k.$$
This makes sense since $$f(x)$$ is the sum of the geometric series with
ratio $$x$$, so the $$n$$th order Taylor polynomial should just be the $$n$$th
partial sum of this geometric series.
$$\sum_{k=0}^{n} \frac{x^k}{k!}.$$
In this activity, we determine small order Taylor polynomials for
several other familiar functions, and look for general patterns that
will help us find the Taylor series expansions a bit later.
Let $$f(x) = \frac{1}{1-x}$$.
Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find the
fourth order Taylor polynomial $$P_4(x)$$ for $$\frac{1}{1-x}$$ centered at
0.
Based on your results from part (i), determine a general formula for
$$f^{(k)}(0)$$.
Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find the
fourth order Taylor polynomial $$P_4(x)$$ for $$\cos(x)$$ centered at 0.
Based on your results from part (i), find a general formula for
$$f^{(k)}(0)$$. (Think about how $$k$$ being even or odd affects the value
of the $$k$$th derivative.)
Calculate the first four derivatives of $$f(x)$$ at $$x=0$$. Then find the
fourth order Taylor polynomial $$P_4(x)$$ for $$\sin(x)$$ centered at 0.
Based on your results from part (i), find a general formula for
$$f^{(k)}(0)$$. (Think about how $$k$$ being even or odd affects the value
of the $$k$$th derivative.)
Small hints for each of the prompts above.
Big hints for each of the prompts above.
f(x) &= (x) &
& f(0) &= 1\
f’(x) &= -(x) &
& f’(0) &= 0\
f”(x) &= -(x) &
& f”(0) &= -1\
f^(3)^(x) &= (x) &
& f^(3)^(0) &= 0\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 1.\
It appears that the odd derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the even derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the even numbers can be represented in the form $$2k$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is odd } \ \ \ \text{ and } \ \ \ f^{2k}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\cos(x)$$ is
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{n/2}\frac{x^n}{n!}$$
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{(n-1)/2}\frac{x^(n-1)}{(n-1)!}$$
if $$n$$ is odd.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f(x) &= (x) &
& f(0) &= 0\
f’(x) &= (x) &
& f’(0) &= 1\
f”(x) &= -(x) &
& f”(0) &= 0\
f^(3)^(x) &= -(x) &
& f^(3)^(0) &= -1\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 0.\
It appears that the even derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the odd derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the odd numbers can be represented in the form $$2k+1$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is even } \ \ \ \text{ and } \ \ \ f^{2k+1}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\sin(x)$$ is
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{(n-1)/2}\frac{x^n}{n!}$$
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{n/2+1}\frac{x^{n-1}}{(n-1)!}$$
if $$n$$ is even.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f^(3)^(x) &= &
& f^(3)^(0) &= 3!\
f^(4)^(x) &= &
& f^(4)^(0) &= 4!.\
It appears that the pattern is $$f^{(k)}(0) = k!.$$
Determine the $$n$$ order Taylor polynomial for $$f(x) = \frac{1}{1-x}$$
centered at $$x=0$$.
The $$n$$th order Taylor polynomial for $$f$$ at $$x=0$$ is
$$\sum_{k=0}^n \frac{f^{(k)}}{k!} x^k = \sum_{k=0}^n \frac{k!}{k!} x^k = \sum_{k=0}^n x^k.$$
This makes sense since $$f(x)$$ is the sum of the geometric series with
ratio $$x$$, so the $$n$$th order Taylor polynomial should just be the $$n$$th
partial sum of this geometric series.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
In <<reference 8.5.Act2(v1)>> we determined small order Taylor polynomials for a few familiar functions, and also found general patterns in the derivatives evaluated at 0. Use that information to write the Taylor series centered at 0 for the following functions.
''a)'' $$f(x) = \frac{1}{1-x}$$
''b)'' $$f(x) = \cos(x)$$ (You will need to carefully consider how to indicate
that many of the coefficients are 0. Think about a general way to
represent an even integer.)
''c)'' $$f(x) = \sin(x)$$ (You will need to carefully consider how to indicate
that many of the coefficients are 0. Think about a general way to
represent an odd integer.)
Small hints for each of the prompts above.
Big hints for each of the prompts above.
f(x) &= (x) &
& f(0) &= 1\
f’(x) &= -(x) &
& f’(0) &= 0\
f”(x) &= -(x) &
& f”(0) &= -1\
f^(3)^(x) &= (x) &
& f^(3)^(0) &= 0\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 1.\
It appears that the odd derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the even derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the even numbers can be represented in the form $$2k$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is odd } \ \ \ \text{ and } \ \ \ f^{2k}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\cos(x)$$ is
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{n/2}\frac{x^n}{n!}$$
$$1 - \frac{x^2}{2} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^{(n-1)/2}\frac{x^(n-1)}{(n-1)!}$$
if $$n$$ is odd.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f(x) &= (x) &
& f(0) &= 0\
f’(x) &= (x) &
& f’(0) &= 1\
f”(x) &= -(x) &
& f”(0) &= 0\
f^(3)^(x) &= -(x) &
& f^(3)^(0) &= -1\
f^(4)^(x) &= (x) &
& f^(4)^(0) &= 0.\
It appears that the even derivatives of $$f(x)$$ are all plus or minus
$$\sin(x)$$ and so have values of 0 at $$x=0$$ and the odd derivatives are
$$\pm \cos(x)$$ and have alternating values of 1 and $$-1$$ at $$x-0$$. Since
the odd numbers can be represented in the form $$2k+1$$ where $$k$$ is an
integer we have
$$f^{k}(0) = 0 \text{ if } k \text{ is even } \ \ \ \text{ and } \ \ \ f^{2k+1}(0) = (-1)^k.$$
Based on the previous part of this problem the $$n$$th order Taylor
polynomial for $$\sin(x)$$ is
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{(n-1)/2}\frac{x^n}{n!}$$
$$x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots + (-1)^{n/2+1}\frac{x^{n-1}}{(n-1)!}$$
if $$n$$ is even.
The first four derivatives of $$f(x)$$ at $$x=0$$ are
f^(3)^(x) &= &
& f^(3)^(0) &= 3!\
f^(4)^(x) &= &
& f^(4)^(0) &= 4!.\
It appears that the pattern is $$f^{(k)}(0) = k!.$$
Determine the $$n$$ order Taylor polynomial for $$f(x) = \frac{1}{1-x}$$
centered at $$x=0$$.
The $$n$$th order Taylor polynomial for $$f$$ at $$x=0$$ is
$$\sum_{k=0}^n \frac{f^{(k)}}{k!} x^k = \sum_{k=0}^n \frac{k!}{k!} x^k = \sum_{k=0}^n x^k.$$
This makes sense since $$f(x)$$ is the sum of the geometric series with
ratio $$x$$, so the $$n$$th order Taylor polynomial should just be the $$n$$th
partial sum of this geometric series.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Plot the graphs of several of Taylor polynomials centered at 0 (of order
at least 5) for $$e^x$$ and convince yourself that these Taylor
polynomials converge to $$e^x$$ for every value of $$x$$.
''b)'' Draw the graphs of several of the Taylor polynomials centered at 0 (of
order at least 6) for $$\cos(x)$$ and convince yourself that these Taylor
polynomials converge to $$\cos(x)$$ for every value of $$x$$. Write the
Taylor series centered at 0 for $$\cos(x)$$.
''c)'' Draw the graphs of several of the Taylor polynomials centered at 0 for
$$\frac{1}{1-x}$$. Based on your graphs, for what values of $$x$$ do these
Taylor polynomials appear converge to $$\frac{1}{1-x}$$? How is this
situation different from what we observe with $$e^x$$ and $$\cos(x)$$? In
addition, write the Taylor series centered at 0 for $$\frac{1}{1-x}$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
The graphs of the 10th (magenta), 20th (blue), and 30th (green) Taylor
polynomials centered at 0 for $$e^x$$ are shown below along with the graph
of $$f(x)$$ in red:
It appears that as we increase the order of the Taylor polynomials, they
fit the graph of $$f$$ better and better over larger intervals. So it
looks like the Taylor polynomials converge to $$e^x$$ for every value of
$$x$$.
The graphs of the 10th (magenta), 20th (blue), and 30th (green) Taylor
polynomials centered at 0 for $$\cos(x)$$ are shown below along with the
graph of $$f(x)$$ in red:
It appears that as we increase the order of the Taylor polynomials, they
fit the graph of $$f$$ better and better over larger intervals. So it
looks like the Taylor polynomials converge to $$\cos(x)$$ for every value
of $$x$$.
Based on the $$n$$th order Taylor polynomials we found earlier for
$$\cos(x)$$, the Taylor series for $$f(x)$$ centered at 0 is
$$\sum_{k=0}^{\infty} \frac{x^{2k}}{(2k)!}.$$
The graphs of the 10th (magenta), 20th (blue), and 30th (green) Taylor
polynomials centered at 0 for $$\frac{1}{1-x}$$ are shown below along with
the graph of $$f(x)$$ in red:
It appears that as we increase the order of the Taylor polynomials, they
only fit the graph of $$f$$ better and better over the interval $$(-1,1)$$
and appear to diverge outside that interval. So it looks like the Taylor
polynomials converge to $$\frac{1}{1-x}$$ only on the interval $$(-1,1)$$.
Based on the $$n$$th order Taylor polynomials we found earlier for
$$\frac{1}{1-x}$$, the Taylor series for $$f(x)$$ centered at 0 is
$$\sum_{k=0}^{\infty} x^k.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Use the Ratio Test to explicitly determine the interval of convergence
of the Taylor series for $$f(x) = \frac{1}{1-x}$$ centered at $$x=0$$.
''b)'' Use the Ratio Test to explicitly determine the interval of convergence
of the Taylor series for $$f(x) = \cos(x)$$ centered at $$x=0$$.
''c)'' Use the Ratio Test to explicitly determine the interval of convergence
of the Taylor series for $$f(x) = \sin(x)$$ centered at $$x=0$$.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
Using the Ratio Test with the $$k$$th term $$\frac{|x|^{2k}}{(2k)!}$$ we get
So the interval of convergence of the Taylor series for $$f(x) = \cos(x)$$
centered at $$x=0$$ is $$(-\infty, \infty)$$.
Using the Ratio Test with the $$k$$th term $$\frac{|x|^{2k+1}}{(2k+1)!}$$ we
get
So the interval of convergence of the Taylor series for $$f(x) = \sin(x)$$
centered at $$x=0$$ is $$(-\infty, \infty)$$.
Using the Ratio Test with the $$k$$th term $$|x|^{k}$$ we get
$$\lim_{k \to \infty} \frac{ |x|^{k+1} }{ |x|^{k} } = \lim_{k \to \infty} |x| = |x|,$$
So the series $$\sum_{k=0}^{\infty} x^k$$ converges absolutely when
$$|x| < 1$$ or for $$-1 < x < 1$$ and diverges when $$|x| > 1$$. Since the
Ratio Test doesn’t tell us what happens when $$x=1$$, we need to check the
endpoints separately.
When $$x=1$$ we have the series $$\sum_{k=0}^{\infty} 1$$ which diverges
since $$\lim_{k \to \infty} 1 \neq 0$$.
When $$x=-1$$ we have the series $$\sum_{k=0}^{\infty} (-1)^k$$ which
diverges since $$\lim_{k \to \infty} (-1)^k$$ does not exist.
Therefore, the interval of convergence of the Taylor series for
$$f(x) = \frac{1}{1-x}$$ centered at $$x=0$$ is $$(-1,1)$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$P_n(x)$$ be the $$n$$th order Taylor polynomial for $$\sin(x)$$ centered at $x=0$. Determine how large we need to choose $$n$$ so that $$P_n(2)$$ approximates $$\sin(2)$$ to 20 decimal places.
Small hints for each of the prompts above.
Big hints for each of the prompts above.
In this example, if we can find a value of $$n$$ so that
$$M\frac{|2-0|^{n+1}}{(n+1)!} < 10^{-20}$$
$$|P_n(2) - f(2)| \leq M\frac{|2-0|^{n+1}}{(n+1)!} < 10^{-20}.$$
Again we use $$f(x) = \sin(x)$$, $$c = 2$$, $$a=0$$, and $$M = 1$$ from the
previous example. So we need to find $$n$$ to make
$$\frac{2^{n+1}}{(n+1)!} \leq 10^{-20}.$$
There is no good way to solve equations involving factorials, so we
simply use trial and error, evaluating $$\frac{2^{n+1}}{(n+1)!}$$ at
different values of $$n$$ until we get one we need.
$$n$$ &$$\frac{2^{n+1}}{(n+1)!}$$\
10 &$$5.130671797 \times 10^{-5}$$\
20 &$$4.104743250 \times 10^{-14}$$\
25 &$$1.664028884 \times 10^{-19}$$\
26 &$$1.232613988 \times 10^{-20}$$\
27 &$$8.804385630 \times 10^{-22}$$\
So we need to use an $$n$$ of at least 27 to ensure accuracy to 20 decimal
places.
A computer algebra system gives
$$P_{27}(2) \approx 0.9092974268256816953960 \ \ \text{ and } \sin(2) \approx 0.9092974268256816953960$$
and we can see that these agree to 20 places.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''a)'' Show that the Taylor series centered at 0 for $$\cos(x)$$ converges to
$$\cos(x)$$ for every real number $$x$$.
''b)'' Next we consider the Taylor series for $$e^x$$.
''i.'' Show that the Taylor series centered at 0 for $$e^x$$ converges to $$e^x$$
for every nonnegative value of $$x$$.
''ii.'' Show that the Taylor series centered at 0 for $$e^x$$ converges to $$e^x$$
for every negative value of $$x$$.
''iii.'' Explain why the Taylor series centered at 0 for $$e^x$$ converges to $$e^x$$
for every real number $$x$$. Recall that we earlier showed that the Taylor
series centered at 0 for $$e^x$$ converges for all $$x$$, and we have now
completed the argument that the Taylor series for $$e^x$$ actually
converges to $$e^x$$ for all $$x$$.
''c)'' Let $$P_n(x)$$ be the $$n$$th order Taylor polynomial for $$e^x$$ centered at
0. Find a value of $$n$$ so that $$P_n(5)$$ approximates $$e^5$$ correct to 8
decimal places.
Small hints for each of the prompts above.
Since the derivatives of $$\cos(x)$$ are all either $$\pm \cos(x)$$ or
$$\pm \sin(x)$$, we see that all of the derivatives of $$\cos(x)$$ are
bounded above by 1. If $$P_n(x)$$ is the $$n$$th order Taylor polynomial for
$$\cos(x)$$, then for any $$x$$ we have
$$\left|P_n(x) - f(x)\right| \leq (1)\frac{|x|^{n+1}}{(n+1)!}.$$
$$\lim_{n \to \infty} \frac{|x|^{n+1}}{(n+1)!} = 0,$$
we conclude that $$P_n(x) \to f(x)$$ as $$n \to \infty$$ for all $$x$$ and the
Taylor series for $$\cos(x)$$ converges to $$\cos(x)$$ for every real number
$$x$$.
Let $$c$$ be a nonnegative number. The derivatives of $$e^x$$ are all equal
to $$e^x$$. Now $$e^x$$ is an increasing function so $$e^x < e^c$$ for all $$x$$
in the interval $$[0,c]$$. So if $$P_n(x)$$ is the $$n$$th order Taylor
polynomial centered at 0 for $$e^x$$, then for any $$x$$ in $$[0,c]$$ we have
$$\left|P_n(x) - f(x)\right| \leq 1\frac{e^c|x|^{n+1}}{(n+1)!}.$$
$$\lim_{n \to \infty} e^c\frac{|x|^{n+1}}{(n+1)!} = e^c\lim_{n \to \infty} \frac{|x|^{n+1}}{(n+1)!} = 0,$$
we conclude that $$P_n(x) \to f(x)$$ as $$n \to \infty$$ for all nonnegative
$$x$$.
Let $$c$$ be a negative number. The derivatives of $$e^x$$ are all equal to
$$e^x$$. Now $$e^x$$ is an increasing function so $$e^x < 1$$ for all $$x$$ in
the interval $$[c,0]$$. So if $$P_n(x)$$ is the $$n$$th order Taylor
polynomial centered at 0 for $$e^x$$, then for any $$x$$ in $$[c,0]$$ we have
$$\left|P_n(x) - f(x)\right| \leq 1\frac{(1)|x|^{n+1}}{(n+1)!}.$$
$$\lim_{n \to \infty} \frac{|x|^{n+1}}{(n+1)!} = 0,$$
we conclude that $$P_n(x) \to f(x)$$ as $$n \to \infty$$ for all negative
$$x$$.
Since the Taylor series centered at 0 for $$e^x$$ converges to $$e^x$$ for
all nonnegative and all negative numbers, we conclude that the Taylor
series centered at 0 for $$e^x$$ converges to $$e^x$$ for all real numbers
$$x$$.
Since $$e^x$$ is increasing on $$[0,5]$$ we know that $$e^x < e^5$$ on
$$[0,5]$$. Now $$e^5 < 243$$, so
$$\left|P_n(5) - e^5\right| \leq 243\frac{|5|^{n+1}}{(n+1)!}.$$
We want a value of $$n$$ that makes this error term less than $$10^{-8}$$.
Testing various values of $$n$$ gives us
$$243\frac{|5|^{28+1}}{(28+1)!} \approx 5.119146745 \times 10^{-9}$$
so we can choose $$n=28$$. A computer algebra system shows that
$$P_{28}(5) \approx 148.413159102551$$ while
$$e^5 \approx 148.413159102577$$ and we can see that these two
approximations agree to 8 decimal places.
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
<<reference 8.3.PA1>> showed how we can approximate the number $$e$$
using linear, quadratic, and other polynomial functions; we then used
similar ideas in <<reference 8.4.PA1>> to approximate $$\ln(2)$$. In
this activity, we review and extend the process to find the ''best''
quadratic approximation to the exponential function $$e^x$$ around the
origin. Let $$f(x) = e^x$$ throughout this activity.
''a)'' Find a formula for $$P_1(x)$$, the linearization of $$f(x)$$ at $$x=0$$. (We
label this linearization $$P_1$$ because it is a first degree polynomial
approximation.) Recall that $$P_1(x)$$ is a good approximation to $$f(x)$$
for values of $$x$$ close to $$0$$. Plot $$f$$ and $$P_1$$ near $$x=0$$ to
illustrate this fact.
''b)'' Since $$f(x) = e^x$$ is not linear, the linear approximation eventually is
not a very good one. To obtain better approximations, we want to develop
a different approximation that “bends” to make it more closely fit the
graph of $$f$$ near $$x=0$$. To do so, we add a quadratic term to $$P_1(x)$$.
In other words, we let
$$P_2(x) = P_1(x) + c_2x^2$$
for some real number $$c_2$$. We need to determine the value of $$c_2$$ that
makes the graph of $$P_2(x)$$ best fit the graph of $$f(x)$$ near $$x=0$$.
Remember that $$P_1(x)$$ was a good linear approximation to $$f(x)$$ near
$$0$$; this is because $$P_1(0) = f(0)$$ and $$P'_1(0) = f'(0)$$. It is
therefore reasonable to seek a value of $$c_2$$ so that
<center>
<table class="equationtable">
<tr><td> $$P_2(0) $$
</td><td>= $$f(0) $$ </td></tr>
<tr><td>$$ P'_2(0)$$</td><td>= $$f'(0) $$ and
</td></tr>
<tr><td>$$ P''_2(0)$$ </td><td>= $$f''(0) $$
</td></tr>
Remember, we are letting $$P_2(x) = P_1(x) + c_2x^2$$.
''i.'' Calculate $$P_2(0)$$ to show that $$P_2(0) = f(0)$$.
''ii.'' Calculate $$P'_2(0)$$ to show that $$P'_2(0) = f'(0)$$.
''iii.'' Calculate $$P''_2(x)$$. Then find a formula for $$c_2$$ so that
$$P''_2(0) = f''(0)$$.
''iv.'' Explain why the condition $$P''_2(0) = f''(0)$$ will put an appropriate
\`\`bend" in the graph of $$P_2$$ to make $$P_2$$ fit the graph of $$f$$
around $$x=0$$.
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
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' In this exercise we investigation the Taylor series of polynomial
functions.
''a)'' Find the 3rd order Taylor polynomial centered at $$a = 0$$ for
$$f(x) = x^3-2x^2+3x-1$$. Does your answer surprise you? Explain.
''b)'' Without doing any additional computation, find the 4th, 12th, and 100th
order Taylor polynomials (centered at $$a = 0$$) for
$$f(x) = x^3-2x^2+3x-1$$. Why should you expect this?
''c)'' Now suppose $$f(x)$$ is a degree $$m$$ polynomial. Completely describe the
$$n$$th order Taylor polynomial (centered at $$a = 0$$) for each $$n$$.
''2.'' The examples we have considered in this section have all been for Taylor
polynomials and series centered at 0, but Taylor polynomials and series
can be centered at any value of $$a$$. We look at examples of such Taylor
polynomials in this exercise.
''a)'' Let $$f(x) = \sin(x)$$. Find the Taylor polynomials up through order four
of $$f$$ centered at $$x = \frac{\pi}{2}$$. Then find the Taylor series for
$$f(x)$$ centered at $$x = \frac{\pi}{2}$$. Why should you have expected the
result?
''b)'' Let $$f(x) = \ln(x)$$. Find the Taylor polynomials up through order four
of $$f$$ centered at $$x = 1$$. Then find the Taylor series for $$f(x)$$
centered at $$x = 1$$.
''c)'' Use your result from (b) to determine which Taylor polynomial will
approximate $$\ln(2)$$ to two decimal places. Explain in detail how you
know you have the desired accuracy.
''3.'' We can use known Taylor series to obtain other Taylor series, and we
explore that idea in this exercise, as a preview of work in the
following section.
''a)'' Calculate the first four derivatives of $$\sin(x^2)$$ and hence find the
fourth order Taylor polynomial for $$\sin(x^2)$$ centered at $$a=0$$.
''b)'' Part (a) demonstrates the brute force approach to computing Taylor
polynomials and series. Now we find an easier method that utilizes a
known Taylor series. Recall that the Taylor series centered at 0 for
$$f(x) = \sin(x)$$ is
$$\sum_{k=0}^{\infty} (-1)^k \frac{x^{2k+1}}{(2k+1)!} $$
''i.'' Substitute $$x^2$$ for $$x$$ in the Taylor series (''8.24'').
Write out the first several terms and compare to your work in part (a).
Explain why the substitution in this problem should give the Taylor
series for $$\sin(x^2)$$ centered at 0.
''ii.'' What should we expect the interval of convergence of the series for
$$\sin(x^2)$$ to be? Explain in detail.
''4.'' Based on the examples we have seen, we might expect that the Taylor series for a function $$f$$ always converges to the values $$f(x)$$ on its interval of convergence. We explore that idea in more detail in this exercise. Let f(x) = {{8.5.piecewise}}
''a)'' Show, using the definition of the derivative, that $$f'(0) = 0$$.
''b)'' It can be shown that $$f^{(n)}(0) = 0$$ for all $$n \geq 2$$. Assuming that
this is true, find the Taylor series for $$f$$ centered at 0.
''c)'' What is the interval of convergence of the Taylor series centered at 0
for $$f$$? Explain. For which values of $$x$$ the interval of convergence of
the Taylor series does the Taylor series converge to $$f(x)$$?
What is a Taylor polynomial? For what purposes are Taylor polynomials
used?
How are Taylor polynomials and Taylor series different? How are they
related?
How do we determine the accuracy when we use a Taylor polynomial to
approximate a function?
In our work to date in <<reference [[Chapter 8]]>>, essentially every sum we have
considered has been a sum of numbers. In particular, each infinite
series that we have discussed has been a series of real numbers, such as
$$1 + \frac{1}{2} +\frac{1}{4}+... +\frac{1}{2^k} = \sum_{k=0}^{\infty} \frac{1}{2^k}$$
In the remainder of this chapter, we will expand our notion of series to
include series that involve a variable, say $$x$$. For instance, if in the
geometric series in Equation (''8.18'') we replace the ratio
$$r = \frac{1}{2}$$ with the variable $$x$$, then we have the infinite
(still geometric) series
$$1 + x + x^2 +... + x^k +... =\sum{k=0}^{\infty} x^k.$$
Here we see something very interesting: since a geometric series
converges whenever its ratio $$r$$ satisfies $$|r|<1$$, and the sum of a
convergent geometric series is $$\frac{a}{1-r}$$, we can say that for
$$|x| < 1$$,
$$1 + x + x^2 +... + x^k +... =\frac{1}{1-x}$$
Note well what Equation (''8.20'') states: the non-polynomial
function $$\frac{1}{1-x}$$ on the right is equal to the infinite
polynomial expresssion on the left. Moreover, it appears natural to
truncate the infinite sum on the left (whose terms get very small as $$k$$
gets large) and say, for example, that
$$1 + x + x^2 + x^3 \approx \frac{1}{1-x}$$
for small values of $$x$$. This shows one way that a polynomial function
can be used to approximate a non-polynomial function; such
approximations are one of the main themes in this section and the next.
In <<reference 8.5.PA1>>, we begin our explorations of approximating
non-polynomial functions with polynomials, from which we will also
develop ideas regarding infinite series that involve a variable, $$x$$.
<<reference 8.5.PA1>> illustrates the first steps in the process of
approximating complicated functions with polynomials. Using this process
we can approximate trigonometric, exponential, logarithmic, and other
nonpolynomial functions as closely as we like (for certain values of
$$x$$) with polynomials. This is extraordinarily useful in that it allows
us to calculate values of these functions to whatever precision we like
using only the operations of addition, subtraction, multiplication, and
division, which are operations that can be easily programmed in a
computer.
We next extend the approach in <<reference 8.5.PA1>> to arbitrary
functions at arbitrary points. Let $$f$$ be a function that has as many
derivatives at a point $$x=a$$ as we need. Since first learning it in
<<reference 1.8.TanLineApprox>>, we have regularly used the linear
approximation $$P_1(x)$$ to $$f$$ at $$x=a$$, which in one sense is the best
linear approximation to $$f$$ near $$a$$. Recall that $$P_1(x)$$ is the
tangent line to $$f$$ at $$(a,f(a))$$ and is given by the formula
$$P_1(x) = f(a) + f'(a)(x-a).$$
If we proceed as in <<reference 8.5.PA1>>, we then want to find the
best quadratic approximation
$$P_2(x) = P_1(x) + c_2(x-a)^2$$
so that $$P_2(x)$$ more closely models $$f(x)$$ near $$x=a$$. Consider the following calculations of the values and derivatives of
$$P_2(x)$$:
<center>
<table class="equationtable">
<tr><td> $$P_2(x) $$ </td><td>= $$P_1(x) + c_2(x - a)^2 $$
</td></tr>
<tr><td>$$P_2'(x) $$</td><td>= $$P_1'(x) + 2c_2(x - a) $$
</td></tr>
<tr><td>$$P_2''(x) $$</td><td>= $$2c_2 $$
</td></tr>
</table>
<table class="equationtable">
<tr><td> $$P_2(a) $$ </td><td>= $$P_1(a) $$
</td><td>= $$f(a)$$</td></tr>
<tr><td>$$P_2'(a) $$</td><td>= $$P_1'(a) $$
</td><td>= $$f'(a) $$</td></tr>
<tr><td>$$P_2''(a) $$</td><td>= $$2c_2 $$
</td><td></td></tr>
To make $$P_2(x)$$ fit $$f(x)$$ better than $$P_1(x)$$, we want $$P_2(x)$$ and
$$f(x)$$ to have the same concavity at $$x=a$$. That is, we want to have
$$c_2 = \frac{f''(a)}{2}.$$
Therefore, the quadratic approximation $$P_2(x)$$ to $$f$$ centered at $$x=0$$
is
$$P_2(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2.$$
This approach extends naturally to polynomials of higher degree. In this
situation, we define polynomials
<center>
<table class="equationtable">
<tr><td> $$P_3(x) $$ </td><td>= $$P_2(x) + c_3(x - a)^3 $$
</td></tr>
<tr><td>$$P_4(x) $$</td><td>= $$P_3(x) + c_4(x - a)^4 $$
</td></tr>
<tr><td>$$P_5(x) $$</td><td>= $$P_4(x) + c_5(x - a)^5$$
</td></tr>
and so on, with the general one being
$$P_n(x) = P_{n-1}(x) + c_n(x-a)^n.$$
The defining property of these polynomials is that for each $$n$$,
$$P_n(x)$$ must have its value and all its first $$n$$ derivatives agree
with those of $$f$$ at $$x = a$$. In other words we require that
$$P^{(k)}_n(a) = f^{(k)}(a)$$
for all $$k$$ from 0 to $$n$$.
To see the conditions under which this happens, suppose
$$P_n(x) = c_0 + c_1(x-a) + c_2(x-a)^2 + \cdots + c_n(x-a)^n.$$
<center>
<table class="equationtable">
<tr><td> $$P_n^{(0)}(a) $$ </td><td>= $$c_0 $$
</td></tr>
<tr><td> $$P_n^{(1)}(a) $$ </td><td>= $$c_1 $$
</td></tr>
<tr><td> $$P_n^{(2)}(a) $$ </td><td>= $$(2)c_2 $$
</td></tr>
<tr><td> $$P_n^{(3)}(a) $$ </td><td>= $$(2)(3)c_3 $$
</td></tr>
<tr><td> $$P_n^{(4)}(a) $$ </td><td>= $$(2)(3)(4)c_4 $$
</td></tr>
<tr><td> $$P_n^{(5)}(a) $$ </td><td>= $$(2)(3)(4)(5)c_5 $$
</td></tr>
$$P^{(k)}_n(a) = (2)(3)(4) \cdots (k-1)(k)c_k = k!c_k.$$
$$P^{(k)}_n(a) = f^{(k)}(a)$$
$$c_k = \frac{f^{(k)}(a)}{k!}$$
for each value of $$k$$. In this expression for $$c_k$$, we have found the
formula for the degree $$n$$ polynomial approximation of $$f$$ that we seek.
The $$n$$th ''order Taylor polynomial'' of $$f$$ centered at $$x = a$$ is given
by
<center>
<table class="equationtable">
<tr><td>
$$P_n(x)$$ </td><td>= $$ f(a)+f'(a)(x-a)+\frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!} (x-a)^n = \sum_{k=0}^n \frac{x^k}{k!}.$$ </td></tr>
<tr><td></td><td>= $$\sum_{k=0}^{n}\frac{f^{(k)}(a)}{k!}(x-a)^k $$
</td></tr>
</table>
</center>
This degree n polynomial approximates $$f (x)$$ near $$x = a$$ and has the property that $$P_n^{(k)}(a)= f^{(k)}(a)$$ for $$k=0...n.$$
''Example 8.2.'' Determine the third order Taylor polynomial for $$f(x) = e^x$$, as well as
the general $$n$$th order Taylor polynomial for $$f$$ centered at $$x=0$$.
''Solution.'' We know that $$f'(x) = e^x$$ and so $$f''(x) = e^x$$ and $$f'''(x) = e^x$$.
Thus,
$$f(0) = f'(0) = f''(0) = f'''(0) = 1.$$
So the third order Taylor polynomial of $$f(x) = e^x$$ centered at $$x=0$$
is
$$P_3(x) = f(0) + f'(0)(x-0) + \frac{f''(0)}{2!}(x-0)^2 + \frac{f'''(0)}{3!}(x-0)^3 = 1 + x + \frac{x^2}{2} + \frac{x^3}{6}.$$
In general, for the exponential function $$f$$ we have $$f^{(k)}(x) = e^x$$
for every positive integer $$k$$. Thus, the $$k$$th term in the $$n$$th order
Taylor polynomial for $$f(x)$$ centered at $$x=0$$ is
$$\frac{f^{(k)}(0)}{k!}(x-0)^k = \frac{1}{k!}x^k.$$
Therefore, the $$n$$th order Taylor polynomial for $$f(x) = e^x$$ centered
at $$x=0$$ is
$$P_n(x) = 1+x+\frac{x^2}{2!} + \cdots + \frac{1}{n!}x^n = \sum_{k=0}^n \frac{x^k}{k!}.$$
It is possible that an $$n$$th order Taylor polynomial is not a polynomial
of degree $$n$$; that is, the order of the approximation can be different
from the degree of the polynomial. For example, in <<reference 8.5.Act2(v1)>>
we found that the second order Taylor polynomial $$P_2(x)$$ centered at 0
for $$\sin(x)$$ is $$P_2(x) = x$$. In this case, the second order Taylor
polynomial is a degree 1 polynomial.
In <<reference 8.5.Act2(v1)>> we saw that the fourth order Taylor polynomial
$$P_4(x)$$ for $$\sin(x)$$ centered at 0 is
$$P_4(x) = x - \frac{x^3}{3!}.$$
The pattern we found for the derivatives $$f^{(k)}(0)$$ describe the
higher-order Taylor polynomials, e.g.,
$$P_5(x) = x - \frac{x^3}{3!} + \frac{x^{(5)}}{5!}, \ P_7(x) = x - \frac{x^3}{3!} + \frac{x^{(5)}}{5!} - \frac{x^{(7)}}{7!}, \ P_9(x) = x - \frac{x^3}{3!} + \frac{x^{(5)}}{5!} - \frac{x^{(7)}}{7!} + \frac{x^{(9)}}{9!},$$
and so on. It is instructive to consider the graphical behavior of these
functions; <<figreference 8_5_Taylor1to9>> shows the graphs of a few of the
Taylor polynomials centered at 0 for the sine function.
<<multifigure 8_5_Taylor1to9>>
Notice that $$P_1(x)$$ is close to the sine function only for values of
$$x$$ that are close to 0, but as we increase the degree of the Taylor
polynomial the Taylor polynomials provide a better fit to the graph of
the sine function over larger intervals. This illustrates the general
behavior of Taylor polynomials: for any sufficiently well-behaved
function, the sequence $$\{P_n(x)\}$$ of Taylor polynomials converges to
the function $$f$$ on larger and larger intervals (though those intervals
may not necessarily increase without bound). If the Taylor polynomials
ultimately converge to $$f$$ on its entire domain, we write
$$f(x) = \sum_{k=0}^{\infty} \frac{f^{(k)}(a)}{k!}(x-a)^k.$$
''Definition 8.8.'' Let $$f$$ be a function all of whose derivatives exist at $$x=a$$. The
''Taylor series'' for $$f$$ centered at $$x=a$$ is the series $$T_f(x)$$
defined by
$$T_f(x) = \sum_{k=0}^{\infty} \frac{f^{(k)}(a)}{k!}(x-a)^k.$$
In the special case where $$a=0$$ in ''Definition 8.8'',
the Taylor series is also called the ''Maclaurin'' series for $$f$$. From
''Example 8.2'' we know the $$n$$th order Taylor polynomial centered at
0 for the exponential function $$e^x$$; thus, the Maclaurin series for
$$e^x$$ is
$$\sum_{k=0}^{\infty} \frac{x^k}{k!}.$$
The next activity further considers the important issue of the
$$x$$-values for which the Taylor series of a function converges to the
function itself.
The Maclaurin series for $$e^x$$, $$\sin(x)$$, $$\cos(x)$$, and
$$\frac{1}{1-x}$$ will be used frequently, so we should be certain to know
and recognize them well.
!!The Interval of Convergence of a Taylor Series
In the previous section <<figreference 8_5_Taylor1to9>> and <<reference 8.5.Act3>> we observed that the Taylor polynomials centered at 0 for
$$e^x$$, $$\cos(x)$$, and $$\sin(x)$$ converged to these functions for all
values of $$x$$ in their domain, but that the Taylor polynomials centered
at 0 for $$\frac{1}{1-x}$$ converged to $$\frac{1}{1-x}$$ for only some
values of $$x$$. In fact, the Taylor polynomials centered at 0 for
$$\frac{1}{1-x}$$ converge to $$\frac{1}{1-x}$$ on the interval $$(-1,1)$$ and
diverge for all other values of $$x$$. So the Taylor series for a function
$$f(x)$$ does not need to converge for all values of $$x$$ in the domain of
$$f$$.
Our observations to date suggest two natural questions: can we determine
the values of $$x$$ for which a given Taylor series converges? Moreover,
given the Taylor series for a function $$f$$, does it actually converge to
$$f(x)$$ for those values of $$x$$ for which the Taylor series converges?
''Example 8.3.'' Graphical evidence suggests that the Taylor series centered
at 0 for $$e^x$$ converges for all values of $$x$$. To verify this, use the
Ratio Test determine all values of $$x$$ for which the Taylor series
$$\sum_{k=0}^{\infty}
\frac{x^k}{k!}$$
''Solution.'' In previous work, we used the Ratio Test on series of numbers that did
not involve a variable; recall, too, that the Ratio Test only applies to
series of nonnegative terms. In this example, we have to address the
presence of the variable $$x$$. Because we are interested in absolute
convergence, we apply the Ratio Test to the series
$$\sum_{k=0}^{\infty} \left| \frac{x^k}{k!} \right| = \sum_{k=0}^{\infty} \frac{| x |^k}{k!}.$$
<center>
<table class="equationtable">
<tr><td> $$\lim_{k -> \infty} \frac{a_{k+1}}{a_k}$$
</td><td>= $$\lim_{k -> \infty} \frac{ \frac{|x|^{k+1}}{(k+1)!}}{ \frac{|x|^k}{k}}$$ </td></tr>
<tr><td></td><td>= $$\lim_{k -> \infty} \frac{|x|^{k+1}k!}{|x|^k (k+1)!}$$
</td></tr>
<tr><td></td><td>= $$\lim_{k -> \infty} \frac{|x|}{k+1}$$
</td></tr>
<tr><td></td><td>= $$0 $$
</td></tr>
for any value of $$x$$. So the Taylor series (''8.21'')
converges absolutely for every value of $$x$$, and thus converges for
every value of $$x$$.
One key question remains: while the Taylor series for $$e^x$$ converges
for all $$x$$, what we have done does not tell us that this Taylor series
actually converges to $$e^x$$ for each $$x$$. We’ll return to this question
when we consider the error in a Taylor approximation near the end of
this section.
We can apply the main idea from ''Example 8.3'' in general. To
determine the values of $$x$$ for which a Taylor series
$$\sum_{k=0}^{\infty} c_k (x-a)^k,$$
centered at $$x = a$$ will converge, we apply the Ratio Test with
$$a_k = | c_k (x-a)^k |$$ and recall that the series to which the Ratio
Test is applied converges if
$$\lim_{k \to \infty} \frac{a_{k+1}}{a_k} < 1$$.
Observe that
$$\frac{a_{k+1}}{{a_k}} = | x-a | \frac{| c_{k+1} |}{| c_{k} |},$$
so when we apply the Ratio Test, we get that
$$\lim_{k \to \infty} \frac{a_{k+1}}{a_k} = \lim_{k \to \infty} |x-a| \frac{c_{k+1}}{c_k}.$$
Note further that $$c_k = \frac{f^{(k)}(a)}{k!}$$, and say that
$$\lim_{k \to \infty} \frac{c_{k+1}}{c_k} = L.$$
$$\lim_{k \to \infty} \frac{a_{k+1}}{a_k} = |x-a| \cdot L.$$
There are three important possibilities for $$L$$: $$L$$ can be 0, a finite
positive value, or infinite. Based on this value of $$L$$, we can
therefore determine for which values of $$x$$ the original Taylor series
converges.
* If $$L = 0$$, then the Taylor series converges on $$(-\infty, \infty)$$.
* If $$L$$ is infinite, then the Taylor series converges only at $$x = a$$.
* If $$L$$ is finite and nonzero, then the Taylor series converges absolutely for all $$x$$ that satisfy $$|x-a| \cdot L < 1.$$
In other words, the series converges absolutely for all $$x$$ such that
which is also the interval
$$\left(a-\frac{1}{L}, a+\frac{1}{L}\right).$$
Because the Ratio Test is inconclusive when the $$|x-a| \cdot L = 1$$, the
endpoints $$a \pm \frac{1}{L}$$ have to be checked separately.
It is important to notice that the set of $$x$$ values at which a Taylor
series converges is always an interval centered at $$x=a$$. For this
reason, the set on which a Taylor series converges is called the
''interval of convergence''. Half the length of the interval of
convergence is called the ''radius of convergence''. If the interval of
convergence of a Taylor series is infinite, then we say that the radius
of convergence is infinite.
The Ratio Test tells us how we can determine the set of $$x$$ values for
which a Taylor series converges absolutely. However, just because a
Taylor series for a function $$f$$ converges, we cannot be certain that
the Taylor series actually converges to $$f(x)$$ on its interval of
convergence. To show why and where a Taylor series does in fact converge
to the function $$f$$, we next consider the error that is present in
Taylor polynomials.
!!Error Approximations for Taylor Polynomials
We now know how to find Taylor polynomials for functions such as
$$\sin(x)$$, as well as how to determine the interval of convergence of
the corresponding Taylor series. We next develop an error bound that
will tell us how well an $$n$$th order Taylor polynomial $$P_n(x)$$
approximates its generating function $$f(x)$$. This error bound will also
allow us to determine whether a Taylor series on its interval of
convergence actually equals the function $$f$$ from which the Taylor
series is derived. Finally, we will be able to use the error bound to
determine the order of the Taylor polynomial $$P_n(x)$$ for a function $$f$$
that we need to ensure that $$P_n(x)$$ approximates $$f(x)$$ to any desired
degree of accuracy.
In all of this, we need to compare $$P_n(x)$$ to $$f(x)$$. For this
argument, we assume throughout that we center our approximations at 0 (a
similar argument holds for approximations centered at $$a$$). We define
the exact error, $$E_n(x)$$, that results from approximating $$f(x)$$ with
$$P_n(x)$$ by
$$E_n(x) = f(x) - P_n(x).$$
We are particularly interested in $$|E_n(x)|$$, the distance between $$P_n$$
and $$f$$. Note that since
$$P^{(k)}_n(0) = f^{(k)}(0)$$
for $$0 \leq k \leq n$$, we know that
for $$0 \leq k \leq n$$. Furthermore, since $$P_n(x)$$ is a polynomial of
degree less than or equal to $$n$$, we know that
Thus, since $$E^{(n+1)}_n(x) = f^{(n+1)}(x) - P_n^{(n+1)}(x)$$, it follows
that
$$E^{(n+1)}_n(x) = f^{(n+1)}(x)$$
Suppose that we want to approximate $$f(x)$$ at a number $$c$$ close to 0
using $$P_n(c)$$. If we assume $$|f^{(n+1)}(t)|$$ is bounded by some number
$$M$$ on $$[0, c]$$, so that
$$\left|f^{(n+1)}(t)\right| \leq M$$
for all $$0 \leq t \leq c$$, then we can say that
$$\left|E^{(n+1)}_n(t)\right| = \left|f^{(n+1)}(t)\right| \leq M$$
for all $$t$$ between 0 and $$c$$. Equivalently,
$$-M \leq E^{(n+1)}_n(t) \leq M$$
on [0, c]. Next, we integrate the three terms in the
inequality (''8.22'') from $$t = 0$$ to $$t = x$$, and thus find that
$$\int_0^x -M \ dt \leq \int_0^x E^{(n+1)}_n(t) \ dt \leq \int_0^x M \ dt$$
for every value of $$x$$ in $$[0, c]$$. Since $$E^{(n)}_n(0) = 0$$, the First
FTC tells us that
$$-Mx \leq E^{(n)}_n(x) \leq Mx$$
for every $$x$$ in $$[0, c]$$.
Integrating the most recent inequality, we obtain
$$\int_0^x -Mt \ dt \leq \int_0^x E^{(n)}_n(t) \ dt \leq \int_0^x Mt \ dt$$
$$-M\frac{x^2}{2} \leq E^{(n-1)}_n(x) \leq M\frac{x^2}{2}$$
for all $$x$$ in $$[0, c]$$.
Integrating $$n$$ times, we arrive at
$$-M\frac{x^{n+1}}{(n+1)!} \leq E_n(x) \leq M\frac{x^{n+1}}{(n+1)!}$$
for all $$x$$ in $$[0, c]$$. This enables us to conclude that
$$\left|E_n(x)\right| \leq M\frac{|x|^{n+1}}{(n+1)!}$$
for all $$x$$ in $$[0, c]$$, which shows an important bound on the
approximation’s error, $$E_n$$.
Our work above was based on the approximation centered at $$a = 0$$; the
argument may be generalized to hold for any value of $$a$$, which results
in the following theorem.
<table>
''The Lagrange Error Bound for $$P_n(x)$$.'' Let $$f$$ be a continuous
function with $$n+1$$ continuous derivatives. Suppose that $$M$$ is a
positive real number such that $$\left|f^{(n+1)}(x)\right| \le M$$ on the
interval $$[a, c]$$. If $$P_n(x)$$ is the $$n$$th order Taylor polynomial for
$$f(x)$$ centered at $$x=a$$, then
<br>
<br>
<center>
$$\left|P_n(c)-f(c)\right| \leq M\frac{|c-a|^{n+1}}{(n+1)!}$$
<br>
<br>
This error bound may now be used to tell us important information about
Taylor polynomials and Taylor series, as we see in the following
examples and activities.
''Example 8.4.'' Determine how well the 10th order Taylor polynomial $$P_{10}(x)$$ for
$$\sin(x)$$, centered at 0, approximates $$\sin(2)$$.
''Solution.'' To answer this question we use $$f(x) = \sin(x)$$, $$c = 2$$, $$a=0$$, and
$$n = 10$$ in the Lagrange error bound formula. To use the bound, we also
need to find an appropriate value for $$M$$. Note that the derivatives of
$$f(x) = \sin(x)$$ are all equal to $$\pm \sin(x)$$ or $$\pm \cos(x)$$. Thus,
$$\left| f^{(n+1)}(x) \right| \leq 1$$
for any $$n$$ and $$x$$. Therefore, we can choose $$M$$ to be 1. Then
$$\left|P_{10}(2) - f(2)\right| \leq (1)\frac{|2-0|^{11}}{(11)!} = \frac{2^{11}}{(11)!} \approx 0.00005130671797.$$
So $$P_{10}(2)$$ approximates $$\sin(2)$$ to within at most
0.00005130671797. A computer algebra system tells us that
$$P_{10}(2) \approx 0.9093474427 \ \ \text{ and } \ \ \sin(2) \approx 0.9092974268$$
with an actual difference of about 0.0000500159.
''Example 8.5.'' Show that the Taylor series for $$\sin(x)$$ actually converges
to $$\sin(x)$$ for all $$x$$.
''Solution.'' Recall from the previous example that since $$f(x) = \sin(x)$$, we know
$$\left| f^{(n+1)}(x) \right| \leq 1$$
for any $$n$$ and $$x$$. This allows us to choose $$M = 1$$ in the Lagrange
error bound formula. Thus,
$$\left|P_n(x)-\sin(x)\right| \leq \frac{|x|^{n+1}}{(n+1)!}$$
We showed in earlier work with the Taylor series
$$\sum_{k=0}^{\infty} \frac{x^k}{k!}$$ converges for every value of
$$x$$. Since the terms of any convergent series must approach zero, it
follows that
$$\lim_{n \to \infty} \frac{x^{n+1}}{(n+1)!} = 0$$
for every value of $$x$$. Thus, taking the limit as $$n \to \infty$$ in the
inequality (''8.23''), it follows that
$$\lim_{n \to \infty} |P_n(x) - \sin(x)| = 0.$$
As a result, we can now
write
$$\sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^nx^{2n+1}}{(2n+1)!}$$
for every real number $$x$$.
---
!!Summary
---
In this section, we encountered the following important ideas:
---
* We can use Taylor polynomials to approximate complicated functions. This allows us to approximate values of complicated functions using only addition, subtraction, multiplication, and division of real numbers. The $$n$$th order Taylor polynomial centered at $$x=a$$ of a function $$f$$ is
<center>
<table class="equationtable">
<tr><td> $$P_n(x)$$ </td><td>= $$ f(a)+f'(a)(x-a)+\frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!} (x-a)^n = \sum_{k=0}^n \frac{x^k}{k!}.$$ </td></tr>
<tr><td></td><td>= $$\sum_{k=0}^{n}\frac{f^{(k)}(a)}{k!}(x-a)^k $$
</td></tr>
* The Taylor series centered at $$x=a$$ for a function $$f$$ is
$$\sum_{k=0}^{\infty} \frac{f^{(k)}(a)}{k!}(x-a)^k.$$
* The $$n$$th order Taylor polynomial centered at $$a$$ for $$f$$ is the $$n$$th partial sum of its Taylor series centered at $$a$$. So the $$n$$th order Taylor polynomial for a function $$f$$ is an approximation to $$f$$ on the interval where the Taylor series converges; for the values of $$x$$ for which the Taylor series converges to $$f$$ we write
$$f(x) = \sum_{k=0}^{\infty} \frac{f^{(k)}(a)}{k!}(x-a)^k.$$
* The Lagrange Error Bound shows us how to determine the accuracy in using a Taylor polynomial to approximate a function. More specifically, if $$P_n(x)$$ is the $$n$$th order Taylor polynomial for $$f$$ centered at $$x=a$$ and if $$M$$ is an upper bound for $$\left|f^{(n+1)}(x)\right|$$ on the interval $$[a, c]$$, then
$$\left|P_n(c) - f(c)\right| \leq M\frac{|c-a|^{n+1}}{(n+1)!}.$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Determine the interval of convergence of each power series.
''a)'' $$\sum_{k=1}^{\infty} \frac{(x-1)^k}{3k}$$
''b)'' $$\sum_{k=1}^{\infty} kx^k$$
''c)'' $$\sum_{k=1}^{\infty} \frac{k^2(x+1)^k}{4^k}$$
''d)'' $$\sum_{k=1}^{\infty} \frac{x^k}{(2k)!}$$
''e)'' $$\sum_{k=1}^{\infty} k!x^k$$
Small hints for each of the prompts above.
Big hints for each of the prompts above.
&= |x-1| ~k\\ ~\
&= |x-1|.
So the power series $$\sum_{k=1}^{\infty} \frac{(x-1)^k}{3k}$$
converges absolutely when $$|x-1| < 1$$ or when $$0 < x < 2$$ and diverges
outside this interval. To completely determine the interval of
convergence, we need to check what happens at the endpoints of this
interval.
When $$x=0$$ our power series is
$$\sum_{k=1}^{\infty} \frac{(-1)^k}{3k}$$ which is just a scalar
multiple of the alternating harmonic series and so converges.
When $$x=2$$ our power series is $$\sum_{k=1}^{\infty} \frac{1}{3k}$$
which is just a scalar multiple of the harmonic series and so diverges.
Therefore, the interval of convergence of the power series
$$\sum_{k=1}^{\infty} \frac{(x-1)^k}{3k}$$ is $$[0,2)$$.
We use the Ratio Test with $$a_k = k|x|^k$$:
~k\\ ~ &= |x|~k\\ ~\
&= |x|.
So the power series $$\sum_{k=1}^{\infty} kx^k$$ converges absolutely
when $$|x| < 1$$ or when $$-1 < x < 1$$ and diverges outside this interval.
To completely determine the interval of convergence, we need to check
what happens at the endpoints of this interval.
When $$x=-1$$ our power series is $$\sum_{k=1}^{\infty} (-1)^k k$$.
Since $$k \to \infty$$ as $$k \to infty$$, this series diverges by the
Divergence Test.
When $$x=1$$ our power series is $$\sum_{k=1}^{\infty} k$$ which again
diverges by the Divergence Test.
Therefore, the interval of convergence of the power series
$$\sum_{k=1}^{\infty} kx^k$$ is $$(-1,1)$$.
We use the Ratio Test with $$a_k = \frac{k^2|x+1|^k}{4^k}$$:
&= |x+1| ~k\\ ~ ()^2^\
&= |x+1|.
So the power series $$\sum_{k=1}^{\infty} \frac{k^2(x+1)^k}{4^k}$$
converges absolutely when $$\frac{1}{4}|x+1| < 1$$ or when $$-5 < x < 3$$
and diverges outside this interval. To completely determine the interval
of convergence, we need to check what happens at the endpoints of this
interval.
When $$x=-5$$ our power series is $$\sum_{k=1}^{\infty} (-1)^k k^2$$.
Since $$k^2 \to \infty$$ as $$k \to \infty$$, this series diverges by the
Divergence Test.
When $$x=3$$ our power series is $$\sum_{k=1}^{\infty} k^2$$, which
again diverges by the Divergence Test.
Therefore, the interval of convergence of the power series
$$\sum_{k=1}^{\infty} \frac{k^2(x+1)^k}{4^k}$$ is $$(-5,3)$$.
We use the Ratio Test with $$a_k = \frac{|x|^k}{(2k)!}$$:
So the power series $$\sum_{k=1}^{\infty} \frac{x^k}{(2k)!}$$
converges absolutely on the interval $$(-\infty, \infty)$$.
We use the Ratio Test with $$a_k = k!|x|^k$$:
~k\\ ~ &= ~k\\ ~ |x|(k+1)\
unless $$x=0$$. So the interval of convergence of the power series
$$\sum_{k=1}^{\infty} \frac{x^k}{k!}$$ is $$\{0\}$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Our goal in this activity is to find a power series expansion for $$ f(x) = \frac{1}{1+x^2}$$ centered at $$x=0$$.
While we could use the methods of Section [S:8.5.Taylor] and
differentiate $$f(x) = \frac{1}{1+x^2}$$ several times to look for
patterns and find the Taylor series for $$f(x)$$, we seek an alternate
approach because of how complicated the derivatives of $$f(x)$$ quickly
become.
''a)'' What is the Taylor series expansion for $$g(x) = \frac{1}{1-x}$$? What is
the interval of convergence of this series?
''b)'' How is $$g(-x^2)$$ related to $$f(x)$$? Explain, and hence substitute $$-x^2$$
for $$x$$ in the power series expansion for $$g(x)$$. Given the relationship
between $$g(-x^2)$$ and $$f(x)$$, how is the resulting series related to
$$f(x)$$?
''c)'' For which values of $$x$$ will this power series expansion for $$f(x)$$ be
valid? Why?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
$$g(x) = \frac{1}{1-x} = \sum_{k=0}^{\infty} x^k$$ for $$-1 < x < 1$$.
Substituting $$-x^2$$ for $$x$$ in the power series expansion for $$g(x)$$
gives
&= ~k=0~^^ (-1)^k^ x^2k^.
This power series expansion for $$f(x)$$ will be valid as long as
$$-1 < (-x)^2 < 1$$ or for $$-1 < x < 1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Let $$f$$ be the function given by the power series expansion
$$f(x) = \sum_{k=0}^{\infty} (-1)^k \frac{x^{2k}}{(2k)!}.$$
''a)'' Assume that we can differentiate a power series term by term, just like
we can differentiate a (finite) polynomial. Use the fact that
$$f(x) = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots + (-1)^k \frac{x^{2k}}{(2k)!} + \cdots$$
to find a power series expansion for $$f'(x)$$.
''b)'' Observe that $$f(x)$$ and $$f'(x)$$ have familiar Taylor series. What
familiar functions are these? What known relationship does our work
demonstrate?
''c)'' What is the series expansion for $$f''(x)$$? What familiar function is
$$f''(x)$$?
Small hints for each of the prompts above.
Big hints for each of the prompts above.
We recognize $$f(x)$$ as $$\cos(x)$$ and $$f'(x)$$ as $$-\sin(x)$$. this gives
the known differentiation formula
$$\frac{d}{dx} \cos(x) = -\sin(x).$$
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
Find a power series expansion for $$\ln(1+x)$$ centered at $$x=0$$ and
determine its interval of convergence. (<span>''Hint''</span>: Use the
Taylor series expansion for $$\frac{1}{1+x}$$ centered at $$x=0$$.)
Small hints for each of the prompts above.
Big hints for each of the prompts above.
$$\frac{1}{1-x} = \sum_{k=0}^{\infty} x^k$$ for $$-1 < x < 1$$ we have
that
$$\frac{1}{1+x} = \sum_{k=0}^{\infty} (-1)^k x^k.$$
Integrating the left and right sides of this last equation gives us
$$\ln(1+x) = \sum_{k=0}^{\infty} (-1)^k \frac{x^{k+1}}{k+1} + C$$
for $$-1 < x < 1$$. Since $$\ln(1) = 0$$ we have that
$$0 = \sum_{k=0}^{\infty} (-1)^k \frac{0^{k+1}}{k+1} + C$$
and so $$C = 0$$. We conclude that
$$\ln(1+x) = \sum_{k=0}^{\infty} (-1)^k \frac{x^{k+1}}{k+1}.$$ for
$$-1 < x < 1$$.
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
''Abel’s Limit Theorem.'' Suppose $$f(x)$$ has a power series expansion
$$f(x) = \sum_{k=0}^{\infty} c_kx^k$$
We have already shown that $$\arctan(x)$$ has the power series expansion
on $$(-1,1)$$. Use Abel’s Limit Theorem to show that the power series
expansion is also valid at $$x=-1$$ and $$x=1$$.
Conclude from part (a) the series expansion for $$\frac{\pi}{4}$$ we
investigated in Exercise 1 of Section [S:8.4.Alternating~S~eries]
Verify the Taylor series for $$\ln(2)$$ that we introduced in Preview
Activity [PA:8.4]. Hint: Use the result of Activity [8.6.Act4] and
Abel’s Limit Theorem.
Small hints for each of the prompts above.
The arctangent function is continuous everywhere, so all we need do is
determine if the series in ([eq:A8.6.4~a~rctan]) converges at $$x=-1$$ and
$$x=1$$.
When $$x=-1$$ the series in ([eq:A8.6.4~a~rctan]) becomes
$$\sum_{k=0}^{\infty} (-1)^k\frac{(-1)^{2k+1}}{2k+1} = \sum_{k=0}^{\infty} (-1)^{k+1}\frac{1}{2k+1}.$$
Since the sequence $$\frac{1}{2k+1}$$ decreases to $$0$$, the series
$$\sum_{k=0}^{\infty} (-1)^k\frac{(-1)^{2k+1}}{2k+1}$$ converges by the
Alternating Series Test.
When $$x=1$$ the series in ([eq:A8.6.4~a~rctan]) becomes
$$\sum_{k=0}^{\infty} (-1)^k\frac{1}{2k+1}$$
which also converges by the Alternating Series Test.
So the power series in ([eq:A8.6.4~a~rctan]) converges to $$\arctan(x)$$
for all $$x$$ in the interval $$[-1,1]$$.
Notice that when $$x=1$$ equation ([eq:A8.6.4~a~rctan]) yields
$$\frac{\pi}{4} = \arctan(1) = \sum_{k=0}^{\infty} (-1)^k\frac{1}{2k+1}$$
which verifies the series expansion for $$\frac{\pi}{4}$$ we investigated
in Exercise 1 of Section [S:8.4.Alternating~S~eries].
In Activity [8.6.Act4] we saw that
$$\ln(1+x) = \sum_{k=0}^{\infty} (-1)^k \frac{x^{k+1}}{k+1}.$$
for $$-1 < x < 1$$. Now $$\ln(1+x)$$ is continuous at $$x=1$$ and when $$x=1$$
the series for $$\ln(1+x)$$ becomes
$$\sum_{k=0}^{\infty} (-1)^k \frac{1}{k+1}.$$
Since the sequence $$\frac{1}{k+1}$$ decreases to 0, the series
$$\sum_{k=0}^{\infty} (-1)^k \frac{1}{k+1}$$ converges by the
Alternating Series Test. Thus, Abel’s Limit Theorem shows that
$$\ln(2) = \sum_{k=0}^{\infty} (-1)^k \frac{1}{k+1}$$
which is exactly the Taylor series for $$\ln(2)$$ that we introduced in
Preview Activity [PA:8.4].
<$macrocall $name="renderPreview" previewName={{!!title}} previewCaption={{!!bookcaption}}>
In <<reference [[Chapter 7]]>>, we learned some of the many important applications of
differential equations, and learned some approaches to solve or analyze
them. Here, we consider an important approach that will allow us to
solve a wider variety of differential equations.
Let’s consider the familiar differential equation from exponential
population growth given by
where $$k$$ is the constant of proportionality. While we can solve this
differential equation using methods we have already learned, we take a
different approach now that can be applied to a much larger set of
differential equations. For the rest of this activity, let’s assume that
$$k=1$$. We will use our knowledge of Taylor series to find a solution to
the differential equation (''8.25'').
To do so, we assume that we have a solution $$y=f(x)$$ and that $$f(x)$$ has
a Taylor series that can be written in the form
$$y = f(x) = \sum_{k=0}^{\infty} a_kx^k,$$
where the coefficients $$a_k$$ are undetermined. Our task is to find the
coefficients.
''a)'' Assume that we can differentiate a power series term by term. By taking
the derivative of $$f(x)$$ with respect to $$x$$ and substituting the result
into the differential equation (''8.25''), show that
the equation
$$\sum_{k=1}^{\infty} ka_kx^{k-1} = \sum_{n=0}^{\infty} a_kx^{k}$$
must be satisfied in order for $$f(x) = \sum_{k=0}^{\infty} a_kx^k$$ to be
a solution of the DE.
''b)'' Two series are equal if and only if they have the same coefficients on
like power terms. Use this fact to find a relationship between $$a_1$$ and
$$a_0$$.
''c)'' Now write $$a_2$$ in terms of $$a_1$$. Then write $$a_2$$ in terms of $$a_0$$.
''d)'' Write $$a_3$$ in terms of $$a_2$$. Then write $$a_3$$ in terms of $$a_0$$.
''e)'' Write $$a_4$$ in terms of $$a_3$$. Then write $$a_4$$ in terms of $$a_0$$.
''f)'' Observe that there is a pattern in (b)-(e). Find a general formula for
$$a_k$$ in terms of $$a_0$$.
''g)'' Write the series expansion for $$y$$ using only the unknown coefficient
$$a_0$$. From this, determine what familiar functions satisfy the
differential equation (''8.25'').
(<span>''Hint''</span>: Compare to a familiar Taylor series.)
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
''1.'' We can use power series to approximate definite integrals to which known
techniques of integration do not apply. We will illustrate this in this
exercise with the definite integral $$\int_0^1 \sin(x^2) \ ds$$.
''a)'' Use the Taylor series for $$\sin(x)$$ to find the Taylor series for
$$\sin(x^2)$$. What is the interval of convergence for the Taylor series
for $$\sin(x^2)$$? Explain.
''b)'' Integrate the Taylor series for $$\sin(x^2)$$ term by term to obtain a
power series expansion for $$\int \sin(x^2) \ dx$$.
''c)'' Use the result from part (b) to explain how to evaluate
$$\int_0^1 \sin(x^2) \ dx$$. Determine the number of terms you will need
to approximate $$\int_0^1 \sin(x^2) \ dx$$ to 3 decimal places.
''2.'' There is an important connection between power series and
Taylor series. Suppose $$f$$ is defined by a power series centered at 0 so
that
$$f(x) = \sum_{k=0}^{\infty} a_kx^k.$$
''a)'' Determine the first 4 derivatives of $$f$$ evaluated at 0 in terms of the
coefficients $$a_k$$.
''b)'' Show that $$f^{(n)}(0) = n!a_n$$ for each positive integer $$n$$.
''c)'' Explain how the result of (b) tells us the following:
''3.'' In this exercise we will begin with a strange power series and then find
its sum. The Fibonacci sequence $$\{f_n\}$$ is a famous sequence whose
first few terms are
$$f_0 = 0, f_1 = 1, f_2 = 1, f_3 = 2, f_4 = 3, f_5 = 5, f_6 = 8, f_7 = 13, \cdots,$$
where each term in the sequence after the first two is the sum of the
preceding two terms. That is, $$f_0 = 0$$, $$f_1 = 1$$ and for $$n \geq 2$$ we
have
$$f_n = f_{n-1} + f_{n-2}.$$
Now consider the power series
$$F(x) = \sum_{k=0}^{\infty} f_kx^k.$$
We will determine the sum of this power series in this exercise.
''a)'' Explain why each of the following is true.
''i.'' $$xF(x) = \sum_{k=1}^{\infty} f_{k-1}x^k$$
''ii.'' $$x^2F(x) = \sum_{k=2}^{\infty} f_{k-2}x^k$$
$$ F(x) - xF(x) - x^2F(x) = x.$$
''c)'' Now use the equation
$$F(x) - xF(x) - x^2F(x) = x$$
to find a simple form for $$F(x)$$ that doesn’t involve a sum.
''d)'' Use a computer algebra system or some other method to calculate the
first 8 derivatives of $$\frac{x}{1-x-x^2}$$ evaluated at 0. Why shouldn’t
the results surprise you?
can be used to model an undamped vibrating spring with spring constant
$$x$$ (note that $$y$$ is an unknown function of $$x$$). So the solution to
this differential equation will tell us the behavior of a spring-mass
system as the spring ages (like an automobile shock absorber). Assume
that a solution $$y=f(x)$$ has a Taylor series that can be written in the
form
$$y = \sum_{k=0}^{\infty} a_kx^k,$$
where the coefficients are undetermined. Our job is to find the
coefficients.
''a)'' Differentiate the series for $$y$$ term by term to find the series for
$$y'$$. Then repeat to find the series for $$y''$$.
''b)'' Substitute your results from part (a) into the Airy equation and show
that we can write Equation (''8.28'') in the form
$$\sum_{k=2}^{\infty} (k-1)ka_kx^{k-2} + \sum_{k=0}^{\infty} a_k x^{k+1} = 0.$$
''c)'' At this point, it would be convenient if we could combine the series on
the left in (''8.29''), but one written with terms of the
form $$x^{k-2}$$ and the other with terms in the form $$x^{k+1}$$. Explain
why
$$\sum_{k=2}^{\infty} (k-1)ka_kx^{k-2} + \sum_{k=0}^{\infty} (k+1)(k+2)a_{k+2} x^{k} = 0.$$
$$\sum_{k=2}^{\infty} a_kx^{k+1} + \sum_{k=0}^{\infty} a_{k-1} x^{k} = 0.$$
''e)'' We can now substitute (''8.30'') and (''8.31'') into (''8.29'') to obtain
$$\sum_{k=0}^{\infty} (n+1)(n+2)a_{n+2}x^{n} + \sum_{k=0}^{\infty} a_{n-1} x^{n} = 0.$$
Combine the like powers of $$x$$ in the two series to show that our
solution must satisfy
$$2a_2 + \sum_{k=1}^{\infty}[(k+1)(k+2)a_{k+2}+a_{k-1}] x^k = 0.
''f)'' Use equation (''8.33'') to show the following:
''i.''
$$a_{3k+2} = 0$$ for every positive integer $$k$$,
''ii.''
$$a_{3k} = \frac{1}{(2)(3)(5)(6) \cdots (3k-1)(3k)} a_0 \text{ for } k \geq 1$$,
''iii.''
$$a_{3k+1} = \frac{1}{(3)(4)(6)(7) \cdots (3k)(3k+1)} a_1 \text{ for } k \geq 1$$.
''g)'' Use the previous part to conclude that the general solution to the Airy equation(''8.28'') is
$$ y =a_0(1+\sum_{k=1}^{\infty} \frac{x^{3k}}{(2)(3)(5)(6)...(3k-1)(3k)})+a_1(x+ \frac{x^{3k+1}}{(3)(4)(6)(7)...(3k)(3k+1)})
Any values for $$a_0$$ and $$a_1$$ then determine a specific solution that
we can approximate as closely as we like using this series solution.
What are some important uses of power series?
What is the connection between power series and Taylor series?
We have noted at several points in our work with Taylor polynomials and
Taylor series that polynomial functions are the simplest possible
functions in mathematics, in part because they essentially only require
addition and multiplication to evaluate. Moreover, from the point of
view of calculus, polynomials are especially nice: we can easily
differentiate or integrate any polynomial. In light of our work in
Section [S:8.5.Taylor], we now know that several important
non-polynomials have polynomial-like expansions. For example, for any
real number $$x$$,
$$e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots + \frac{x^n}{n!} + \cdots.$$
As we continue our study of infinite series, there are two settings
where other series like the one for $$e^x$$ arise: one is where we are
simply given an expression like
$$1 + 2x + 3x^2 + 4x^3 + \cdots$$
and we seek the values of $$x$$ for which the expression makes sense,
while another is where we are trying to find an unknown function $$f$$,
and we think about the possibility that the function has expression
$$f(x) = a_0 + a_1 x + a_2 x^2 + \cdots + a_k x^k + \cdots,$$
and we try to determine the values of the constants $$a_0$$, $$a_1$$,
$$\ldots$$. The latter situation is explored in <<reference 8.6.PA1>>.
As <<reference 8.6.PA1>> shows, it can be useful to treat an unknown
function as if it has a Taylor series, and then determine the
coefficients from other information. In other words, we define a
function as an infinite series of powers of $$x$$ and then determine the
coefficients based on something besides a formula for the function. This
method of using series illustrated in <<reference 8.6.PA1>> to solve
differential equations is a powerful and important one that allows us to
approximate solutions to many different types of differential equations
even if we cannot explicitly solve them. This approach is different from
defining a Taylor series based on a given function, and these functions
we define with arbitrary coefficients are given a special name.
''Definition 8.9.'' A ''power series'' centered at x = a is a function of the form
$$\sum_{k=0}^{\infty} c_k (x-a)^k$$
where $$\{c_k\}$$ is a sequence of real numbers and $$x$$ is an independent
variable.
We can substitute different values for $$x$$ and test whether the
resulting series converges or diverges. Thus, a power series defines a
function $$f$$ whose domain is the set of $$x$$ values for which the power
series converges. We therefore write
$$f(x) = \sum_{k=0}^{\infty} c_k(x-a)^k.$$
It turns out that <<footnote [7] "See Exercise 2 in this section. ">>, on its interval of convergence, a power series is
the Taylor series of the function that is the sum of the power series,
so all of the techniques we developed in the previous section can be
applied to power series as well.
''
Example 8.6.'' Consider the power series defined by
$$f(x) = \sum_{k=0}^{\infty} \frac{x^k}{2^k}.$$
What are $$f(1)$$ and $$f\left(\frac{3}{2}\right)$$? Find a general formula
for $$f(x)$$ and determine the values for which this power series
converges.
''Solution.'' If we evaluate $$f$$ at $$x=1$$ we obtain the series
$$\sum_{k=0}^{\infty} \frac{1}{2^k}$$
which is a geometric series with ratio $$\frac{1}{2}$$. So we can sum this
series and find that
$$f(1) = \frac{1}{1-\frac{1}{2}} = 2.$$
$$f(3/2) = \sum_{k=0}^{\infty} \left(\frac{3}{4}\right)^k = \frac{1}{1-\frac{3}{4}} = 4.$$
In general, $$f(x)$$ is a geometric series with ratio $$\frac{x}{2}$$ and
$$f(x) = \sum_{k=0}^{\infty} \left(\frac{x}{2}\right)^n = \frac{1}{1-\frac{x}{2}} = \frac{2}{2-x}$$
provided that $$-1 < \frac{x}{2} < 1$$ (so that the ratio is less than 1
in absolute value). Thus, the power series that defines $$f$$ converges
for $$-2 < x < 2$$.
As with Taylor series, we define the interval of convergence of a power
series (''8.26'') to be the set of values of $$x$$ for
which the series converges. In the same way as we did with Taylor
series, we typically use the Ratio Test to find the values of $$x$$ for
which the power series converges absolutely, and then check the
endpoints separately if the radius of convergence is finite.
''Example 8.7.'' Let $$f(x) = \sum_{k=1}^{\infty} \frac{x^k}{k^2}$$.
Determine the interval of convergence of this power series.
''Solution.'' First we will draw graphs of some of the partial sums of this power
series to get an idea of the interval of convergence. Let
$$S_n(x) = \sum_{k=1}^{n} \frac{x^k}{k^2}$$
for each $$n \geq 1$$.<<figreference 8_6_Power_Series.svg>> shows plots of
$$S_{10}(x)$$ (in red), $$S_{25}(x)$$ (in blue), and $$S_{50}(x)$$ (in green).
<<figure 8_6_Power_Series.svg>>
The behavior of $$S_{50}$$ particularly highlights that it appears to be
converging to a particular curve on the interval $$(-1,1)$$, while growing
without bound outside of that interval. This suggests that the interval
of convergence might be $$-1 < x < 1$$. To more fully understand this
power series, we apply the Ratio Test to determine the values of $$x$$ for
which the power series converges absolutely. For the given series, we
have
<center>
<table class="equationtable">
<tr><td> $$\lim_{k -> \infty} \frac{|a_{k+1}|}{|a_k|}$$
</td><td>= $$\lim_{k -> \infty} \frac{ \frac{|x|^{k+1}}{(k+1)^2}}{ \frac{|x|^k}{k^2}}$$ </td></tr>
<tr><td></td><td>= $$\lim_{k -> \infty} |x| (\frac{k}{k+1})^2$$
</td></tr>
<tr><td></td><td>= $$ |x| \lim_{k -> \infty}(\frac{k}{k+1})^2$$
</td></tr>
<tr><td></td><td>= $$|x| $$
</td></tr>
Therefore, the Ratio Test tells us that the given power series $$f(x)$$
converges absolutely when $$| x | < 1$$ and diverges when $$| x | > 1$$.
Since the Ratio Test is inconclusive when $$|x| = 1$$, we need to check
$$x = 1$$ and $$x = -1$$ individually.
When $$x = 1$$, observe that
$$f(1) = \sum_{k=1}^{\infty} \frac{1}{k^2}.$$
This is a $$p$$-series with $$p > 1$$, which we know converges. When
$$x = -1$$, we have
$$f(-1) = \sum_{k=1}^{\infty} \frac{(-1)^k}{k^2}.$$
This is an alternating series, and since the sequence
$$\left\{ \frac{1}{n^2} \right\}$$ decreases to 0, the power series
converges when $$x=-1$$ by the Alternating Series Test. Thus, the interval
of convergence of this power series is $$-1 \le x \le 1$$.
!!Manipulating Power Series
Recall that we know several power series expressions for important
functions such as $$\sin(x)$$ and $$e^x$$. Often, we can take a known power
series expression for such a function and use that series expansion to
find a power series for a different, but related, function. The next
activity demonstrates one way to do this.
In a previous section we determined several important Maclaurin series
and their intervals of convergence. Here, we list these key functions
and remind ourselves of their corresponding expansions.
$$\sin(x)$$ & = &
$$\sum_{k=0}^{\infty} \frac{(-1)^k x^{2k+1}}{(2k+1)!}$$ & &
$$-\infty < x < \infty$$\
$$\cos(x)$$ & = & $$\sum_{k=0}^{\infty} \frac{(-1)^k x^{2k}}{(2k)!}$$ &
& $$-\infty < x < \infty$$\
$$e^x$$ & = & $$\sum_{k=0}^{\infty} \frac{x^{k}}{k!}$$ & &
$$-\infty < x < \infty$$\
$$\frac{1}{1-x}$$ & = & $$\sum_{k=0}^{\infty} x^k$$ & &
$$-1 < x < 1$$\
As we saw in <<reference 8.6.Act2>>, we can use these known series find
other power series expansions for related functions such as $$\sin(x^2)$$,
$$e^{5x^3}$$, and $$\cos(x^5)$$. Another important way that we can
manipulate power series is illustrated in the next activity.
It turns out that our work in <<reference 8.6.Act2>> holds more generally.
The corresponding theorem, which we will not prove, states that we can
differentiate a power series for a function $$f$$ term by term and obtain
the series expansion for $$f'$$, and similarly we can integrate a series
expansion for a function $$f$$ term by term and obtain the series
expansion for $$\int f(x) \ dx$$. For both, the radius of convergence
of the resulting series is the same as the original, though it is
possible that the convergence status of the resulting series may differ
at the endpoints. The formal statement of the Power Series
Differentiation and Integration Theorem follows.
<table>
<span>''Power Series Differentiation and Integration Theorem.''</span>
Suppose $$f(x)$$ has a power series expansion
<br>
<br>
<center>
$$f(x) = \sum_{k=0}^{\infty} c_kx^k$$
</center>
<br>
<br>
so that the series converges absolutely to $$f(x)$$ on the interval
$$-r < x < r$$. Then, the power series
$$\sum_{k=1}^{\infty} kc_kx^{k-1}$$ obtained by differentiating the
power series for $$f(x)$$ term by term converges absolutely to $$f'(x)$$ on
the interval $$-r < x < r$$. That is,
<br>
<br>
<center>
$$f'(x) = \sum_{k=1}^{\infty} kc_kx^{k-1}, \ {for} \ |x| < r.$$
</center>
<br>
<br>
Similarly, the power series
$$\sum_{k=0}^{\infty} c_k\frac{x^{k+1}}{k+1}$$ obtained by integrating
the power series for $$f(x)$$ term by term converges absolutely on the
interval $$-r < x < r$$, and
<br>
<br>
<center>
$$\int f(x)dx = \sum_{k=0}^{\infty}c_k \frac{x^{k+1}}{k+1}+C$$ for $$|x| < r$$.
</center>
<br>
<br>
This theorem validates the steps we took in <<reference 8.6.Act3>>. It is
important to note that this result about differentiating and integrating
power series tells us that we can differentiate and integrate term by
term on the interior of the interval of convergence, but it does not
tell us what happens at the endpoints of this interval. We always need
to check what happens at the endpoints separately. More importantly, we
can use use the approach of differentiating or integrating a series term
by term to find new series.
''Example 8.8.'' Find a series expansion centered at $$x = 0$$ for $$\arctan(x)$$,
as well as its interval of convergence.
''Solution.'' While we could differentiate $$\arctan(x)$$ repeatedly and look for
patterns in the derivative values at $$x = 0$$ in an attempt to find the
Maclaurin series for $$\arctan(x)$$ from the definition, it turns out to
be far easier to use a known series in an insightful way. In Activity
[8.6.Act2], we found that
$$\frac{1}{1+x^2} = \sum_{k=0}^{\infty} (-1)^k x^{2k}$$
for
$$-1 < x < 1$$.
Recall that
$$\frac{d}{dx} \left[ \arctan(x) \right] = \frac{1}{1+x^2},$$
$$\int \frac{1}{1+x^2} \ dx = \arctan(x) + C.$$
It follows that we can integrate the series for $$\frac{1}{1+x^2}$$
term by term to obtain the power series expansion for $$\arctan(x)$$.
Doing so, we find that
<center>
<table class="equationtable">
<tr><td> $$\arctan(x) $$
</td><td>= $$\int(\sum_{k=0}^{\infty}(-1)^k x^{2k}) dx $$ </td></tr>
<tr><td></td><td>= $$\sum(\int_{k=0}^{\infty}(-1)^k x^{2k}) dx $$
</td></tr>
<tr><td></td><td>= $$(\sum_{k=0}^{\infty}(-1)^k \frac{x^{2k+1}}{2k+1}) + C $$
</td></tr>
The Power Series Differentiation and Integration Theorem tells us that
this equality is valid for at least $$-1 < x < 1$$.
To find the value of the constant $$C$$, we can use the fact that
$$\arctan(0) = 0$$. So
$$0 = \arctan(0) = \left( \sum_{k=0}^{\infty} (-1)^k\frac{0^{2k+1}}{2k+1} \right) + C = C,$$
and we must have $$C = 0$$. Therefore,
$$\arctan(x) = \sum_{k=0}^{\infty} (-1)^k\frac{x^{2k+1}}{2k+1}$$
for at least $$-1 < x < 1$$.
It is a straightforward exercise to check that the power series
$$\sum_{k=0}^{\infty} (-1)^k\frac{x^{2k+1}}{2k+1}$$
converges both when $$x = -1$$ and when $$x = -1$$; in each case, we have an
alternating series with terms $$\frac{1}{2k+1}$$ that decrease to 0, and
thus the interval of convergence for the series expansion for
$$\arctan(x)$$ in Equation (''8.27'') is $$-1 \le x \le 1.$$
!!Summary
---
In this section, we encountered the following important ideas:
---
* A power series is a series of the form
$$\sum_{k=0}^{\infty} a_kx^k.$$
* We can often assume a solution to a given problem can be written as a power series, then use the information in the problem to determine the coefficients in the power series. This method allows us to approximate solutions to certain problems using partial sums of the power series; that is, we can find approximate solutions that are polynomials.
* The connection between power series and Taylor series is that they are essentially the same thing: on its interval of convergence a power series is the Taylor series of its sum.
Sequences and Series {#C:8}
====================
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
<$macrocall $name="renderSection" sectionName={{!!title}} sectionCaption={{!!sectioncaption}}>
A Short Table of Integrals {#C:9.IntegralTable}
==========================
$$\int \frac{du}{a^2 + u^2} = \frac{1}{a} \arctan \frac{u}{a} + C$$
$$\int \frac{du}{\sqrt{u^2 \pm a^2}} = \ln |u + \sqrt{u^2 \pm a^2}| + C$$
$$\int \sqrt{u^2 \pm a^2} \, du = \frac{u}{2}\sqrt{u^2 \pm a^2} \pm \frac{a^2}{2}\ln|u + \sqrt{u^2 \pm a^2}| + C $$
$$\int \frac{u^2 du}{\sqrt{u^2 \pm a^2}} = \frac{u}{2}\sqrt{u^2 \pm a^2} \mp \frac{a^2}{2}\ln|u + \sqrt{u^2 \pm a^2}| + C $$
$$\int \frac{du}{u\sqrt{u^2+a^2}} = -\frac{1}{a} \ln \left| \frac{a+\sqrt{u^2 + a^2}}{u} \right| + C $$
$$\int \frac{du}{u\sqrt{u^2-a^2}} = \frac{1}{a} \sec^{-1} \frac{u}{a} + C$$
$$\int \frac{du}{\sqrt{a^2 - u^2}} = \arcsin \frac{u}{a} + C$$
$$\int \sqrt{a^2 - u^2} \, du = \frac{u}{2}\sqrt{a^2 - u^2} + \frac{a^2}{2} \arcsin \frac{u}{a} + C$$
$$\int \frac{u^2}{\sqrt{a^2 - u^2}} \, du = -\frac{u}{2}\sqrt{a^2 - u^2} + \frac{a^2}{2} \arcsin \frac{u}{a} + C$$
$$\int \frac{du}{u\sqrt{a^2 - u^2}} = -\frac{1}{a} \ln \left| \frac{a + \sqrt{a^2 - u^2}}{u} \right| + C$$
$$\int \frac{du}{u^2\sqrt{a^2 - u^2}} = -\frac{\sqrt{a^2-u^2}}{a^2 u} + C$$
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<<tabs "[tag[Chapter]]" "Preface" "$:/state/booktab" "">>
<$macrocall $name="renderApplication" appCaption={{!!bookcaption}} sectionNumber={{!!booknumber}}>
<table>
<$list filter="[tag[Application]]">
<tr>
<td><$link>{{!!title}}</$link></td>
<td><$edit-text field="bookcaption"/></td>
</tr>
</$list>
</table>
[[0.copyright]]
[[0.preface]]
[[1.1.Act1]]
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[[1.chap]]
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[[2.chap]]
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[[3.5.RelatedRates]]
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[[3.6.VelocityRevisited]]
[[3.chap]]
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[[4.4.FTC(Ex)]]
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[[4.chap]]
[[5.1.Act1]]
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<<tabs "[tag[Section]prefix[1]]" "1.1.Velocity" "$:/state/1tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[2]]" "2.1.ElemRules" "$:/state/2tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[3]]" "3.1.Tests" "$:/state/3tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[4]]" "4.1.VelocityDistance" "$:/state/4tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[5]]" "5.1.AntiDGraphs" "$:/state/5tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[6]]" "6.1.Area" "$:/state/6tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[7]]" "7.1.DEIntro" "$:/state/7tab" "tc-vertical" "setCurrentTiddler">>
<<tabs "[tag[Section]prefix[8]]" "8.1.Sequences" "$:/state/8tab" "tc-vertical" "setCurrentTiddler">>
\define renderChapter(number)
<<tabs "[tag[Section]prefix[$number$]]" {{!!defaulttab}} "$:/state/$number$tab" "tc-vertical" "setCurrentTiddler">>
\end
\define renderChapter(number)
<<tabs "[tag[Section]prefix[$number$]" "SampleTabTwo" "$:/state/chapter$number$tab" "tc-vertical">>
\define clonebutton(currentname)
<$button>
<$action-setfield $tiddler="$currentname$1" text=" "/>
New Here
</$button>
\end
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
$$\frac{d}{dx} \left[ ~~\right]$$
Evaluate each of the following definite integrals exactly through an appropriate $$u$$-substitution.
For each of the following problems, evaluate the integral by using the partial fraction decomposition provided.
\begin{activity} \label{8.3.Act9} Determine whether each of the following series converges or diverges. Explicitly state which test you use.
\ba
\item $\ds \sum \frac{k}{2^k}$
\item $\ds \sum \frac{k^3+2}{k^2+1}$
\item $\ds \sum \frac{10^k}{k!}$
\item $\ds \sum \frac{k^3-2k^2+1}{k^6+4}$
\ea
[[Editoy]]
<<renderEditoy>>
$$$
''a)''
<<reference 1.2.PA1>>
<<figreference 1__>>
<center>
<table class="equationtable">
<tr><td> $$ $$
</td><td>= $$ $$ </td></tr>
<tr><td></td><td>= $$ $$
</td></tr>
<tr><td></td><td>= $$ $$
</td></tr>
$$$
\define renderEditoy()
<$set name="refer" value={{Editoy!!ref}}>
tags<$edit-text tiddler=<<refer>> field="tags" size="40"/>
<br>
eqNumber<$edit-text tiddler=<<refer>> field="number" size="40"/>
<br>
eqCaption<$edit-text tiddler=<<refer>> field="bookcaption" size="40"/>
<br>
<$edit-text tiddler="Editoy" field="ref"/>
<br>
<$edit-text tiddler=<<refer>> field="text" class="rs-edit"/>
<br>
[[Editoy]]
[[Editoy Macro]]
</$set>
\end
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\define figure(image)
<center>
[img[$image$]]
<$transclude tiddler=$image$ field="number"/>:
<$transclude tiddler=$image$ field="bookcaption"/>
<$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=$image$ />
{{$image$!!title}}
</$button>
<$link to=$image$ >-></$link>
</center>
\end
\define multifigure(image)
<center>
{{$image$}}
<$transclude tiddler=$image$ field="number"/>:
<$transclude tiddler=$image$ field="bookcaption"/>
<$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=$image$ />
{{$image$!!title}}
</$button>
<$link to=$image$ >-></$link>
</center>
\end
\define figure(image)
<center>
[img[$image$]]
<$transclude tiddler=$image$ field="number"/>:
<$transclude tiddler=$image$ field="bookcaption"/>
</center>
\end
<table>
<$list filter="[regexp[.svg]]">
<tr>
<td><$link>{{!!title}}</$link></td>
<td><$edit-text field="number"/></td>
<td><$edit-text field="bookcaption"/></td>
</tr>
</$list>
</table>
\define ref(label)
<$button popup="$:/state/$label$" class="tc-btn-invisible tc-slider"><sup style="color:green">$label$</sup></$button>
\end
\define definition(label,text)
<$reveal type="popup" state="$:/state/$label$" animate="yes">
<div class="tc-drop-down">
<dl>
<dt>$label$</dt>
<dd>$text$</dd>
</dl>
</div>
</$reveal>
\end
\define footnote(label,text)
<<ref "$label$">>
<<definition "$label$" "$text$">>
\end
\define footnotes(label,text)
<<definition "$label$" "$text$">>
<sub><span style="color:green">$label$ : </span> $text$</sub>
\end
<table>
<$list filter="[prefix[8.6.Power]]">
<tr><td><$edit-text field="title"size="40"/></td><td><$button>
<$action-deletetiddler $tiddler={{!!title}}/>
{{!!title}}
</$button></td></tr>
</$list>
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
$$g'(b) = \frac{1}{f'(a)}.$$
\define reference(ref)
<$link to="$ref$">''{{$ref$!!bookcaption}}''</$link>
\end
\define figreference(ref)
<$link to="$ref$">''{{$ref$!!number}}''</$link>
\end
<table>
<$list filter="[tag[Application]]">
<tr><td>{{!!title}}</td>
<td><$edit-text field="text"/></td>
<td><$edit-text field="bookcaption" size="50"/></td>
<td><$edit-text field="sectioncaption"/></td></tr>
</$list>
</table>
<table>
<$list filter="[tag[Preview]]">
<tr><td>{{!!title}}</td>
<td><$edit-text field="text"/></td>
<td><$edit-text field="bookcaption" size="50"/></td>
<td><$edit-text field="sectioncaption"/></td></tr>
</$list>
</table>
<table>
<$list filter="[tag[Section]]">
<tr><td>{{!!title}}</td>
<td><$edit-text field="text"/></td>
<td><$edit-text field="bookcaption" size="50"/></td>
<td><$edit-text field="sectioncaption"/></td></tr>
</$list>
</table>
<table>
<$list filter="[tag[Chapter]]">
<tr><td>{{!!title}}</td><$edit-text field="bookcaption"/><td></td></tr>
</$list>
</table>
<table width="50%">
<tr>
<td> [img [7_3_slopefield.svg]] </td>
<td> [img [7_3_euler_empty_2.svg]] </td>
</tr>
</table>
<table width="50%">
<tr>
<td> [img width="90%" [8_3_Integral_test1.svg]] </td>
<td> [img width="90%" [8_3_Integral_test2.svg]] </td>
</tr>
</table>
<center>
<table class="equationtable">
<tr><td> $$1$$
</td> <td>= $$2$$
</td></tr>
<tr><td></td><td>= $$3$$
</td></tr>
<tr><td></td><td>= $$4$$
</td></tr>
<tr><td></td><td>= $$5$$
</td></tr>
<tr><td></td><td>= $$6$$
</td></tr>
<tr><td></td><td>= $$7$$
</td></tr>
<$set name="test001" value="1.2.Limits">
<$list filter='[prefix<test001>]'>
</$list>
</$set>
.rs-edit {
width: 100%;
}
.tc-tagged-EQ {
}
.tc-tagged-EQ .tc-tiddler-body {
background-color:light-grey;
color: orange;
padding: 35px 35px;
text-align: center;
font-size: 1.5em;
}
\define poplink(text,target)
<$set name="tv-wikilink-tooltip" value="{{$target$!!text}}">
<$link to="$target$">$text$</$link>
</$set>
\end
.tc-drop-down dd
{
max-width:300px;
word-break: break;
white-space:normal;
padding :0;
padding-left: 5px;}
.tc-drop-down dl
{
padding: 5px;
}
tc-drop-down a {display:inline;padding:0}
<<tabs "[tag[Section]prefix[0]]" "0.copyright" "$:/state/0tab" "tc-vertical" "setCurrentTiddler">>
<table>
<$list filter="[tag[Preview]]">
<tr>
<td><$link>{{!!title}}</$link></td>
<td><$edit-text field="bookcaption"/></td>
</tr>
</$list>
</table>
<$list filter="[regexp[Macro]]">
<$checkbox tag="$:/tags/Macro"/> <$link>{{!!title}}</$link> {{!!tags}}
</$list>
--
<$list filter="[regexp[Production]]">
<$checkbox tag="$:/tags/Macro"/> <$link>{{!!title}}</$link> {{!!tags}}
</$list>
--
<$list filter="[regexp[macro]]">
</$list>
\define renderCopyright()
<center>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>]'>
<$transclude field="text"/>
</$list>
</center>
\end
\define renderSection()
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] -[regexp[(Ex)]] +[sort[]]'>
<$transclude field="text"/>
</$list>
\end
\define renderExercise()
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] +[sort[]]'>
<$transclude field="text"/>
</$list>
\end
\define renderApplication()
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] -[regexp[(Ex)]] +[sort[]]'>
<$transclude field="text"/>
</$list>
\end
\define renderPreview()
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] -[regexp[(Ex)]] +[sort[]]'>
<$transclude field="text"/>
</$list>
\end
$$Q'(x) = \frac{g(x)f'(x) - f(x) g'(x)}{g(x)^2}.$$
\define renderApplication(appCaption)
<$link>-></$link>
<h2>$appCaption$</h2>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] -[tag[SOL]] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<figureVariable>> >
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
s.<$checkbox tag="SOL">.</$checkbox>.<$checkbox tag="IN">.</$checkbox><$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=<<currentTiddler>> />
{{!!title}}
</$button><$macrocall $name="clonebutton" currentname=<<currentTiddler>>>
<$link>-></$link>
</$list>
\end
\define renderApplication(appCaption)
<h2>$appCaption$</h2>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] -[tag[SOL]] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<figureVariable>> >
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
</$list>
\end
\define renderCopyright()
<center>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>]'>
<$transclude field="text"/>
</$list>
</center>
\end
\define renderExercise()
<table class="exercisetable">
<h1>Exercises</h1>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<figureVariable>> >
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
in<$checkbox tag="IN">.</$checkbox><$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=<<currentTiddler>> />
{{!!title}}
</$button><$macrocall $name="clonebutton" currentname=<<currentTiddler>> /><$link>-></$link>
</$list>
</table>
\end
\define renderCopyright()
<center>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>]'>
<$transclude field="text"/>
</$list>
</center>
\end
\define renderExercise()
<table class="exercisetable">
<h1>Exercises</h1>
<$list filter='[prefix<currentTiddler>] -[<currentTiddler>] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<figureVariable>> >
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
</$list>
</table>
\end
\define renderPreview(previewName,previewCaption)
<$link to=$previewName$>-></$link>
<b>$previewCaption$</b>
<table>
<$list filter='[prefix[$previewName$]] -[[$previewName$]] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</$set>
</$set>
in<$checkbox tag="IN">.</$checkbox><$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=<<currentTiddler>> />
{{!!title}}
</$button>
<$link>-></$link><$macrocall $name="clonebutton" currentname=<<currentTiddler>>>
</$list>
</table>
\end
\define renderPreview(previewName,previewCaption)
<b>$previewCaption$</b>
<table>
<$list filter='[prefix[$previewName$]] -[[$previewName$]] +[sort[]]'>
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="myVariable" filter="[all[current]tag[IN]]" value="previewClass" emptyValue="">
<div class=<<equationVariable>> >
<div class=<<myVariable>> >
<$transclude field="text"/>
</div>
</div>
</$set>
</$set>
</$list>
</table>
\end
\define renderSection(sectionName:"test section",sectionCaption:"this is a test")
<$edit-text tiddler="$sectionName$" field="sectioncaption"/>
<$link to=$sectionName$>-></$link>
<h2>$sectionCaption$</h2>
<table>
<tr>
<th>
Motivating Questions
</th>
</tr>
<tr>
<td>
<i>
In this section, we strive to understand the ideas generated by the following important questions:
</i>
</td>
</tr>
<$list filter='[prefix[$sectionName$]] -[[$sectionName$]] -[regexp[(Ex)]] +[sort[]] +[tag[MQ]]'>
<tr>
<td>
<ul><$transclude field="text"/></ul>
<ul><$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=<<currentTiddler>> />
{{!!title}}
</$button></ul>
</td>
</tr>
</$list>
</table>
<$list filter='[prefix[$sectionName$]] -[[$sectionName$]] -[regexp[(Ex)]] +[sort[]] -[tag[MQ]]'>
<$set name="exampleVariable" filter="[all[current]tag[EX]]" value="exampleClass" emptyValue="">
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<exampleVariable>> >
<div class=<<equationVariable>> >
<div class=<<figureVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
.<$checkbox tag="EX">.</$checkbox>.<$checkbox tag="IN">in</$checkbox>
<$checkbox tag="EQ">eq</$checkbox>
<$button>
<$action-setfield $tiddler="Editoy" $field="ref" $value=<<currentTiddler>> />
{{!!title}}
</$button>
<$link>-></$link>
<$macrocall $name="clonebutton" currentname=<<currentTiddler>>>
</$list>
\end
\define renderSection(sectionName:"test section",sectionCaption:"this is a test")
<h2>$sectionCaption$</h2>
<table>
<tr>
<th>
Motivating Questions
</th>
</tr>
<tr>
<td>
<i>
In this section, we strive to understand the ideas generated by the following important questions:
</i>
</td>
</tr>
<$list filter='[prefix[$sectionName$]] -[[$sectionName$]] -[regexp[(Ex)]] +[sort[]] +[tag[MQ]]'>
<tr>
<td>
<ul><$transclude field="text"/></ul>
</td>
</tr>
</$list>
</table>
<$list filter='[prefix[$sectionName$]] -[[$sectionName$]] -[regexp[(Ex)]] +[sort[]] -[tag[MQ]]'>
<$set name="exampleVariable" filter="[all[current]tag[EX]]" value="exampleClass" emptyValue="">
<$set name="equationVariable" filter="[all[current]tag[EQ]]" value="equationClass" emptyValue="">
<$set name="figureVariable" filter="[all[current]tag[FI]]" value="figureClass" emptyValue="">
<div class=<<exampleVariable>> >
<div class=<<equationVariable>> >
<div class=<<figureVariable>> >
<$transclude field="text"/>
</div>
</div>
</div>
</$set>
</$set>
</$set>
</$list>
\end
richardwilliamsmith@gmail.com
@richardwsmith
<table>
<th>Tiddler</th>
<th>Text</th>
<th>Tags</th>
<th>is a</th>
<th>is a</th>
<th>is a</th>
<$list filter='[list[bodyList!!text]]'>
<tr>
<td><$link to=<<currentTiddler>>>{{!!title}}</$link></td>
<td><$transclude field="tags"/></td>
<td>
<$button>
<$action-setfield $field="text" $value={{1.1.Velocity}} />
<$action-setfield $field="tags" $value="Section" />
Section
</$button>
</td>
<td>
<$button>
<$action-setfield $field="text" $value={{ApplicationSkeleton}} />
<$action-setfield $field="tags" $value="Application" />
Application
</$button>
</td>
<td>
<$button>
<$action-setfield $field="text" $value={{1.1.PA1}} />
<$action-setfield $field="tags" $value="Preview" />
Preview
</$button>
</td>
<td>
<$button>
<$action-setfield $field="text" $value={{1.1.Velocity(Ex)}} />
<$action-setfield $field="tags" $value="Exercise" />
Exercise
</$button>
</td>
</tr>
</$list>
</$set>
<table>
<$list filter="[tag[Section]]">
<tr>
<td><$link>{{!!title}}</$link></td>
<td><$edit-text field="bookcaption" size="80"/></td>
</tr>
</$list>
</table>
<$tiddler tiddler=<<currentTab>>><$transclude/></$tiddler>
<table>
<$list filter="[tag[SH]][tag[EX]][tag[PR]][tag[AC]][tag[XE]] +[sort[]]">
<tr>
<td>
<$link>{{!!title}}</$link>
</td>
<td>
<$edit-text field="text" autoHeight="no"/></td>
<td>
<$transclude field="tags"/>
</td>
<td>
<$transclude field="bookcaption"/>
</td>
</tr>
</$list>
</table>
.previewClass {
padding-left: 50px;
}
.equationClass {
text-align: center;
}
.figureClass {
text-align: center;
border: 1px;
}
.exampleClass {
font-size: 100%;
line-height: 100%;
}
.equationtable, .equationtable td {
border: 0;
padding: 10px;
}
.equationtable td:first-child + td { text-align: left; }
.exercisetable {
border-width:medium;
/*border-collapse: separate; */
/* border-spacing: 10px; */
}
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
iVBORw0KGgoAAAANSUhEUgAAAd8AAADzCAIAAABIe4v2AAAYSWlDQ1BJQ0MgUHJvZmlsZQAAWAmtWWdUFM3S7pnZxJJzlpxFcs45B8lJZck5LDkrIkoQECWrIGJCBCNBEQREFFExgBhQFFExIggKgny9GN733HPvv2/O2dlnq6trnqrq6ZmqBYCfgRITE4GyABAZFU91sjAW9vD0EiY+BwjAADtQATiKf1yMkaOjLfifx8Io1IbHfXmarf+p9t8HWAMC4/wBQBzhsF9AnH8kxOcBwDH5x1DjAcBfhXKxpPgYGn4LMQcVEoR4mYaD1zABsgccfr+w+JqOi5MJAARNAEgMFAo1GAAmUygXTvQPhnaYAuAYW1RAaBSclgyxvn8IBcr42qHO+sjIaBp+BbG037/sBP8LUyh+f21SKMF/8S9f4Ex4YdPQuJgISsraj//PU2REAozX2iECzwwhVEsn+M0B47Y/PNqGhhkgPh3lZ+8AMRvEnaHQo9/4dkiCpSvENP0J/zgTGEvABfHXAIqpDcQCAKDkhHBXo99YkkKFaE0fNQ6Nt3L5jd2o0U6/7aNhURH2tPUB7aDpIYFWf3BpYJyZM5RDDmhYUKi5FcQwV+jx1BAXd4ghT7Q9MdTNHmImiK/GhTvTONDs3EsNMaHJ13SoCU40zuJQ/jaIak7zEepgDJFxEK3Zx0T9KWvX4oFy1fgQF0soh3Mx24BAUzOI4XUxj8Ao1998sJCYeGOaHZp+akzE2vqGPLHSwAgLmlwU4oa4ROc/c6/FU11ochg3bDSMYk1br5Az9i4m3pEWExqf78AWmABTIAwS4McPRIMwEHr7Q9sH+OvXiDmgACoIBoFA/rfkzwz3tZEoeHYGqeAjiII6cX/nGa+NBoJEKF/5K/01Vx4ErY0mrs0IB6/hFSJxfDh9nA7OFp4N4UcZp4nT+jNPmPkPT4IZwZRgSTAnyPyRAH/IOgJ+qCD0v8hs4Fgg9I4Kz1F/fPjHHv41/i7+JX4EP4F/BNzAqzUrvz3dEppN/cPgr2U7MAGt/YpKIIxYFJj+o4OThKzVcMY4Pcgfcsdx4fiAPE4VemKEM4C+qUHpn+jRWCf85fZPLP/E/Y8ejbXwv3z8LWeSZVL7zcLvj1cwk38i8Z9W/hkJBQFQy+Y/NbFd2DlsAOvBbmCdWBsQxrqxdmwIu0zDvzmbr0Un+O/VnNYiGg59CP2jo3hScVpx+c+vv75SoITGgJYDuP7jA5Pj4foDJtExKdTQ4JB4YSO4CwcKW0X5b1gvrKyopAYAbU+n6QAw57S2VyNcd/6RUeC61uQEgLz0jyy6EYCWJbhlbv9HJvEYAO4vABw77Z9ATfxlD0f7wgMyYIZ3Bi9YB8SANPRJGagDHWAIzIA1cAAuwBNshlEPAZGQdRJIB9tALigAJaAMVINacBgcB6fAWdAGOkEPuAZugmEwAp7AtTEF3oMZsAB+IAhCRBgRdoQXEUIkEDlEGdFE9BEzxBZxQjwRXyQYiUISkHRkO1KAlCLVyCHkBHIG6UB6kBvIXeQR8gKZRmaRJRRDGVAOVBCVRBVQTdQItUFd0E1oMBqLpqI5aBFaidajTWgr2oPeREfQCfQ9Oo8BjB7jwkQweUwTM8EcMC8sCKNimVg+Vo7VY83YRZjr+9gE9gFbxBFw7DhhnDxcn5Y4V5w/LhaXiSvEVeOO41pxV3H3cS9wM7ifeEa8AF4Or423wnvgg/FJ+Fx8Of4o/gK+H947U/gFAoHARZAiaMB705MQRkgjFBIOEFoIVwh3CZOEeSKRyEuUI+oRHYgUYjwxl1hFbCJ2E+8Rp4jfSfQkIZIyyZzkRYoiZZPKSY2kLtI90hvSDzoWOgk6bToHugC6FLpiuga6i3R36KbofpBZyVJkPbILOYy8jVxJbib3k5+S5+jp6UXpteg30ofSb6WvpD9Nf53+Bf0iAxuDLIMJgw9DAkMRwzGGKwyPGOYYGRklGQ0ZvRjjGYsYTzD2MT5j/M7EzrSByYopgCmLqYapleke0ydmOmYJZiPmzcypzOXM55jvMH9goWORZDFhobBkstSwdLA8ZJlnZWdVYnVgjWQtZG1kvcH6lo3IJslmxhbAlsN2mK2PbZIdYxdjN2H3Z9/O3sDezz7FQeCQ4rDiCOMo4DjFcZtjhpONU5XTjTOZs4bzMucEF8YlyWXFFcFVzHWWa5RriVuQ24g7kDuPu5n7Hvc3Hn4eQ55AnnyeFp4RniVeYV4z3nDePbxtvON8OD5Zvo18SXwH+fr5PvBz8Ovw+/Pn85/lfyyACsgKOAmkCRwWGBKYF1wnaCEYI1gl2Cf4YR3XOsN1Yev2retaNy3ELqQvFCq0T6hb6J0wp7CRcIRwpfBV4RkRARFLkQSRQyK3RX6ISom6imaLtoiOi5HFNMWCxPaJ9YrNiAuJ24mni58UfyxBJ6EpESJRITEg8U1SStJdcqdkm+RbKR4pK6lUqZNST6UZpQ2kY6XrpR/IEGQ0ZcJlDsgMy6KyarIhsjWyd+RQOXW5ULkDcnfX49drrY9aX7/+oTyDvJF8ovxJ+RcbuDbYbsje0Lbhk4K4gpfCHoUBhZ+KaooRig2KT5TYlKyVspUuKs0qyyr7K9coP1BhVDFXyVJpV/miKqcaqHpQdUyNXc1Obadar9qKuoY6Vb1ZfVpDXMNXY7/GQ00OTUfNQs3rWngtY60srU6tRW117Xjts9qfdeR1wnUadd7qSukG6jboTuqJ6lH0DulN6Avr++rX6U8YiBhQDOoNXhqKGQYYHjV8YyRjFGbUZPTJWNGYanzB+JuJtkmGyRVTzNTCNN/0thmbmatZtdkzc1HzYPOT5jMWahZpFlcs8ZY2lnssH1oJWvlbnbCasdawzrC+asNg42xTbfPSVtaWanvRDrWztttr99Rewj7Kvs0BOFg57HUYd5RyjHW8tJGw0XFjzcbXTkpO6U4DzuzOW5wbnRdcjF2KXZ64SrsmuPa6Mbv5uJ1w++Zu6l7qPuGh4JHhcdOTzzPUs92L6OXmddRr3tvMu8x7ykfNJ9dndJPUpuRNNzbzbY7YfHkL8xbKlnO+eF9330bfZYoDpZ4y72flt99vxt/Ev8L/fYBhwL6A6UC9wNLAN0F6QaVBb4P1gvcGT4cYhJSHfAg1Ca0O/RJmGVYb9i3cIfxY+GqEe0RLJCnSN7Ijii0qPOpq9Lro5Oi7MXIxuTETsdqxZbEzVBvq0TgkblNcezwHfHkeSpBO2JHwIlE/sSbxe5Jb0rlk1uSo5KEU2ZS8lDep5qlH0nBp/mm96SLp29JfZBhlHMpEMv0ye7PEsnKyprZabD2+jbwtfNutbMXs0uyv2923X8wRzNmaM7nDYsfJXKZcau7DnTo7a3fhdoXuup2nkleV9zM/IH+wQLGgvGC50L9wcLfS7srdq0VBRbeL1YsPlhBKokpG9xjsOV7KWppaOrnXbm/rPuF9+fu+lm0pu1GuWl5bQa5IqJiotK1srxKvKqlarg6pHqkxrmnZL7A/b/+3AwEH7h00PNhcK1hbULtUF1o3dsjiUGu9ZH35YcLhxMOvG9waBo5oHjlxlO9owdGVY1HHJo47Hb96QuPEiUaBxuKT6MmEk9NNPk3Dp0xPtTfLNx9q4WopOA1OJ5x+d8b3zOhZm7O95zTPNZ+XOL//AvuF/FakNaV1pi2kbaLds/1uh3VH70Wdixcubbh0rFOks+Yy5+XiLnJXTtdqd2r3/JWYKx96gnsme7f0Punz6HtwdePV2/02/devmV/rGzAa6L6ud73zhvaNjkHNwbab6jdbh9SGLtxSu3Xhtvrt1jsad9qHtYYv3tW923XP4F7PfdP71x5YPbg5Yj9yd9R1dOyhz8OJsYCxt48iHn15nPj4x5OtT/FP88dZxsufCTyrfy7zvGVCfeLyC9MXQy+dXz6Z9J98/yru1fJUzmvG1+VvhN6ceKv8tnPafHr4nfe7qfcx7398yP3I+nH/J+lP5z8bfh6a8ZiZ+kL9sjpbOMc7d+yr6tfeecf5ZwuRCz++5X/n/X58UXNxYMl96c2PpGXicuWKzMrFnzY/n65Grq7GUKiUtXcBDJ7RoCAAZo8BwOgJAPswfKdg+lVzrWnAV2QE6kDshuShsZgZzgSvQBAnMpP46XjJwvT6DC6MiUxVzC9ZVdky2Uc5lbhyud/w2vJdEOAXLBYCwgkis2IR4l8ls6RZZGrkZNe3bTBWuKcUpDynmqPOp9GopaU9pOuuN2EQZPjeONJkxizS/LXlFqv7Nha25+1FHIocZ510nTNcOl2/u6t4RHjWe436kDZpbg7aUup7mTLtzxagFOgQFB68PaQy9GRYZ/hgxFjkq6gv0cuxRCp7nEA8fwJHIjlxOeld8oOU9tSqtMR0hwzJjB+Zd7IatiZv887W3y6aQ8z5tGM098rOpl3Vefn5mQXUwrDdfkXuxdolvCWLe56UXt5bu297WWi5Q4VGpXAVuepr9fOaof19By4ePFVbW1d4KLHe57Bhg+gR9MjLo1eO1R3POhHQ6HLSqsnwlGazUovMaZEzPGcZzv489+H8wwvdrQ1tue3hHY4XNS4Jd9J1fr38omu4u+fK+Z7jvQf7yq7u7t96jTKge53n+sKNB4MXblYMpd3yvW15R2mY/y7h7ty95/e7H9SOpI+6P1QYw8buPap87PmE88nNp8njYuODzxKeSz9/NVH3YtNL/pdjk+WvnKdYpm69zntj+mb1bcc05R36rua9zvvJD+Uf7T4RP3V/jpsRnun54vhldNZ6tn1u/dzRryJfa+dF5psWjBZefKv5Hr7os5T+4+FKw+rqWv7NUCUMh03jevBlhHiiL8mDzplsTW/NsJHRn6mQuYflO5siewjHYc433Eo8qbx9/NwC4YLdQoJwDYyLmYlfkBSTKpZekg2Xeypvu6FDUV6pWoVJNUttRmOL5oC2gk6V7k/9AIN+IzHjTJMxMwXzXIsxK1nrZJtm23F7egdNR7+NeU7NzndcPrsxust5mHv6eqV4l/g0bGrdfG3LiO8k5bPfYgAIJATRBzOFsISyhXGEc0SwRTJHkaPR6O8x72OfUAfizsRXJKQleidpJXMlz6YMp55OK0mPznDIVMpiz1rY+mRbT/ax7cU5yTv8cq13ysC98UVed/7+grRCz91aRbxFP4rHS7r31Jfu2Bu+z7PMslytQqSSXDlbNVbdWVO7P/uA30GTWvE6fN30odH664cvNrQcaThafWzP8Z0n0hqjT/o2OZ7Sa5ZpYWtZPv36zN2zXXC/OnShvLW4raC9oGP3xdJLVZ31lxu7Krq3X4nu2dRr12dwVa1f/prMgMx1+Ruqg/o3rYecbzncNr+jO6x0V/Ie/32mB8iDuZFXoyMP+8cuPDryeM+ThKeu42rPOJ/NP38wce5F6cvYScdXClPMU59e33nT8rZoOvKd9XvJ9z8/3P/Y8In6WW8GN3P9S96s5Rxhrvvrpq8z84nzPxf2fVP+Nv794CJ1yfOH+3LISuHP7t/5F0NOo54YK3YW540n4zsIVKIaCUe6TldCDqA3Z1BiFGMSYGZjYWLlYRNiV+Gw46RyHeS+x4vw6fEHCZQK9qz7KMwnYiwaLlYq3i7xXApIi8gYyHrLUddvly/bcFyhQ3FQ6YnyR5UVNXp1fg1pTQ0tM20HnY26jnp2+pYGBobKRiLGDMZfTR6ZXjSrMk+2cLVUtCJbjVu32GTbutnJ2xPsXzp0Ox7cmOnk62zsIuaKc33l1ude65Hu6eGl4s3o/cbnyqbKzdFbzH0FfGco/X5V/qEBGoGEwJGghuD4EJNQ9tDJsPPhuREekTKRy1HXowtiLGNxsVeo6XHqcV/iGxP8E/kT7yXlJxsmL6Q0pVLSuNPupO/KMM5YybyUlbJVa+vSts7szO1GOVhO346tuVq5cztP7QrJk8ibzD9cEFAoUzizu6NoR7FTiXDJxz0X4Rpy2Me971nZ4fLgCpmKd5WNVaHV0tVvak7sLzgQfdCpVrWOs27u0HB94+FtDS5HJI8sHL16rOR40Am3xo0nbZvMTxk0q7fInhY4Qz6zcPbZub7zRy7saI1uS24v6mi42HnpQeenLlK32BX9Hq/epL69V0/3D117f533hvVgFnyCzd5WuZM83HeP837kgxujsg+LxhYeBz75MF74XGPi08u2V5Wv9709/27lY+6M/VzUwtcfvLT8/+q90Z4JBHUASvsAcF0AwHkbAAXXAJCCvT1uMgCOjAC4aAH0hQVA96UC5JDF3+cHAp8iBFh1sgBuWA3LAFVYa9oCL1hhJoNdoAIcAx1gEIyDGQQPK0YFWCf6IHFIIdKAdCFjyBzKhMqiFmgAug2tRS+jT9FlTBDTx3yx7dgx7CY2g+PE6cLarQB3DvcUT8Ar4Tfh8/Ct+CkCJ+yYJBEaCeNENqIFMZPYSvxMkiUFkupJE3RCdL509XRTZBlyFLmdnkTvRd/MgDF4M5xnZGaMYLzJtJ6pmOkrszfzVRYFlhpWOtZU1i9soWyv2P3YJzmCOT5yJsGKpZRbjLuVx5Znkjedj4+vlz9KQEhgRLB0nZuQiNCc8JBIo2iRWIK4r4S+5DopRGpKelDmtGyFXOb6QLgLqioIKOIVF5SBCoMqn5qMuo6GvSZFK0l7t84R3W69J/qLhoxGosb6JltM88w6zGctlaySrHtsWewo9hccsY2GThnOl1yW3HTct3pc9+LyDvO5tll2SzmF3m9nABKYEbQYkhg6Fx4b8TEqNHoqlkIdj/dKeJgUkCKQOpJenGm9Fdt2eXvijg25r3cdyHcrZN49WFy3J30vpWxjhUOVb03hgZE6vfrBI4nHWRtTm163uJy5dl63taND99JAl9eV+b6lAcVBqaGZO8fvhYxYjaU99XjBN5U63fXxyBe2ue8LMd9zlix+3F1h/Sm/yrW2f9C600TY32OH/UpJoAT0YA/GC3bb0kAhOABaQC8YBe9hz4AH5t4CdgdSkTLkNDKETKNEVAI1g5nPQY+g19C3sLJXwFywVKwO1vCfcTyw3xSJq8T142bxwngHfBb+NP4lrMVtCNsIbYQZogzRn1hLfEriJ3mTDpCe04nThdKdplskm5CLyBP06vRF9G9hfXyIEWH0Z7zOpMBUyYxjjmV+weLMMsCqx9rGpsJ2ll2FvY1Dj2OA05lzkiuBm8xdz6PH85g3hU8A5jtcgEfghmDWOq11i0JdwnkiXqKKYgxiH8WHJc5JVkllS0fKeMlayWmtl5Vft4FNgaQIFFeU6VUEVDeomah7acRrFms1ad/U+aDHoq9u4GOYbFRl3GUybcZr7mBRYDlkzWrjY3vCbtHB1nHvxhFnHhdv1zq31x4bPFO9Bn2ENqVufuxrRGn2Fw7YF0QXnBnyJcwv/F6kQVRjDFtsCvV5vFlCYxJ7clOqedrLjIwsnq2ns823j+0Izp3dlZaPFuzcTV90qMR+z+re82URFTKV76pb9qccNK/jOfTx8LUjh48VnCg+WX6qvuXsmf5z4xe+t3Nf1Ozc1LXjSnPvk37GAfMbO2+O3FYaPnhfYKRpzPEJOt43Uf1K663q+1uflr/0ftVbyPxetlS4HPlT73f+8YAedpyEwQagDztM/iAFFIOjoAs8BLMIEyKLWCJByA54v19FXqF4VBq1RmPQCrQbZpwdM8Aisf3YLWwVp4ILwdXhHuE58BvxJfj7BG7CJkID4RNRC3ZVHpAkSMmkIToxujS6EbIyeR95kZ5CP8Sgw9DMKMF4iEmE6SizIvNlFnuWSdZ0tnVsfeyhHCwc7ZwULnquNu4AHg6eAd4MPg2+Bf4OgSxBS9gjeCN0WbhCJF7UTUxXXEKCW5JJiiRNkCHIkuVY1vPKS2xQUTBT9FDaodyjiqlZq1doTGuZaNfrEvXi9CcNvY0emNib3jA3sei20rZut9W063QwdXzmlO0i43rfPcNT0uu2D3Uzx5bzFGe/+YCDQXYhuNC+8MLITdGasbxxaPxM4svk/FTltImMvVl221iyn+acyy3btS0/qTCxaEsJfk/TXo8yUvnlypRqvf3kAy9qew+dOnz4SP2xnSdkGm82RTWztbSd2XQOd76p1bUddJy85HmZruvSleheib7+fr9rP69XDirdHLjlefvtcPzd5ftZD36Opj/89ij68eunPuN3n5tNNL1EJ61fFU8Nv6F/azod967ufc+HZx+/fFqdATM/v3ycfTZ36WvFfNiC8sLSt/Pfgxf5FnuWtiyt/KhZFltuWlFbufxT+eeRVZ7VQlr+44JUlGlPD4AwGMP247PV1TlJAIilAKzsWV39Ub+6unIYFhtPAbgS8ev/HJoy7X+i/bM0NCg7spX2/e/j/wBUu75v4GLYuQAAAZ1pVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6ZXhpZj0iaHR0cDovL25zLmFkb2JlLmNvbS9leGlmLzEuMC8iPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+NDc5PC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjI0MzwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgrSKwQBAABAAElEQVR4Ae29DVRTV7o3frwTEGyDRQe0UBdQagddw3FGrhf7gZ1gx0L7lkNbHL0aO2U+Arf/rorzgRP/I/81cUbedN55a1x9baTvFG8FbcXpEDpzYzsTaIOj8bpCx6TXsCoMYTQsDZq0SWuCyVz++3zmJCQhhHwQeM5acPbZ+9nPx2/v85x99n7OzqLJyUkMDkAAEAAEAIE5hsA/zTF9QB1AABAABAABEgHwztAPAAFAABCYiwiAd56LrQI6AQKAACAA3hn6ACAACAACcxEB8M5zsVVAJ0AAEAAEBAEQlJSUuN3ugEy4BAQAAUAAEIgHAs8//7xMJgvKeRFE1AXFBTIBAUAAEEguAjCzkVz8QTogAAgAAsERAO8cHBfIBQQAAUAguQiAd04u/iAdEAAEAIHgCIB3Do4L5AICgAAgkFwEwDsnF3+QDggAAoBAcATAOwfHBXIBAUAAEEguAuCdk4s/SAcEAAFAIDgC4J2D4wK5gAAgAAgkFwHwzsnFH6QDAoAAIBAcAfDOwXGBXEAAEAAEkosAeOfk4g/SAQFAABAIjgB45+C4QC4gAAgAAslFALxzcvEH6YAAIAAIBEdglt7Za7c7gzOGXEAAEAAEAIFZIBC4v3NkrNz9R3/ddlZv6FAZMKzd5HihRBhZRaCKBoExY+/pk+9dvHwTW/HVDY89XfdsZV5GNHygDiCQKghAn0ctFeXY2T7a10G5ZsTCcdvLNfn44IUzPb2D47B/PwfJLBPOnn2V+fjm394qkrTsqS6+uXvn5vzMdccGxmfJF6oDAnMVAejzbMug3fejOywaGc1DobfRHDwWNctVao6OKdTyR8CsakKQipU6LtuspmEntAzqXAkkAIH5gAD0ea4Voxw7I5chzMllfTF7dn3BpnTXYTqaxWIWZ+eZNw9hGLFnRznHpODxWjF5ofrNqQEuExKAwHxBAPq8ryWj984+HmxKUPBNOUFeELLmdTARzcIym/NisnLZSj6YgsLNFMgO62ez4Qx1AYG5iQD0ea5dYumdMUFxczc5Ku/eXwWrVhzEs0lMOFDtltdOD/qYuM3nVeTVLdcd33y/rxhSgEBqIwB9nmu/6GI2uOq8hNdtt9uuXR02nj2PlYt3lOehMrfTfsN6zXTh3Gj6hu/WFp07dfwd9cUbTqew6OGXfvpyuX/kwZjxzG/f7NRfsmBZ+WXVOxsbqnJ47McGek//8b2LqNiRlb+ujHh2a21FCac9EmSzXhv8+Nxf/nZvU/OWyz1vf3Tp6tI1W75bV57Kzwnh0z+XN/btbd26psDgaCilhtCuz65QsBStzOXM5+EESUAgpRGAPs9rPm4GeqYJh0FJs6FXBfVynOMqklOrWA6dL4sr8yXEBhcn06NVULOpGNYkl4vparhsiCHwaGQiup5E0dWlkNBpQqln6ocWpDQ4OBkpmnBYLRarzwqDkgFKrrWmqEWgNiAQHgHo8zQ+WHiYwpQGeGeXzazi/KaC9psus17FuFoMEzW1D9mQu3VoWEfMBXtYmfAPvNNABSK4TGSkAobhMi2pgEPP+GainXbXWjmVgcssjH6kIAn3KBDJdAZtE3mJa6yeMCakXpFLz/hmTDo0vyxLvbYAjRODwALu8zHzzmRLeQy07yAY70zmmdqZPD03UraoaUfKemcLM+wWd5EVqGOIqUWPrx1dTWghjOgyMSw4njrfmJITJGJCzTwuG/kwmFeHln2HgIHzvGpXMCY0Agu5z8d06lJw36ME1kGtWVFjX/KfZ4JNejCMngNelo+8M/rIkDmc18/RF5aOXbvIykuWYG1tHVSp5TZZS1j3avfkq2SG2z52+eMPj79Fl2JpFBH9Lx9/FMNQftZdtE2CjOxsXnHqJ8f7X9nU0ofswKXqH1Xw5+RT3zawABAIhsAC7/O0JwsGTDR5AioaZtqayOPyjjSMCRjrczyoeHgx9ZmhXKHA3O4JLHcl44Cd/cdeb3urs6PP59V5LKgk31UHlqX8tXe45/FNe0kzJJ0fHqyKbbOlPDpgwHxEAPr8HLrNCaVif0NpsG5mP7Fr2c4OVIIrVPr6mvWWEw1rdrYFo5yneeP9dQ8Q5HNJ0mk7uoN+JXA73RnCVA5ImadtBWbFBgHo81HvsxGiAbzcNMZUAv8BM13OPBvo7wpV6nMB23N4vRSZe+QU6ZoxqVr9cs16cqB95zZVgPF5en1zKHThfPk/fmFX7iY040PI1S7ONRuPZWY9OQAfZM6XRgY7/BCAPk/BEf3XKJlp7DSGhx2Ae6+pyXljzMFDmqNKy2RzXV9aqORFA3XOwBupAAtMdeRdo8/fDPfsS0urHXBjbvMgxRW7Onqdqjc+gGKiyWPFEu/o0T0HLoyTXvzGxYtUJuaZR1Mc7uEztbkbyWcToTjw3Gqz0WgcHBzoP/YkXo+iYJYzU0K03fAfEJgPCECf97Vi6MXScCVWk5YNS0bzDRK1weKymrrkTCQychwKNYpmdpm0nVxEHSFtN1ldLqtBwcW+4ZIuHRXTbNNRHycjrUSduiGb1aymgvPwJhUZlOHSs6UYIZEw0XWkBaImMpYDhc25TLouHle51sTG2oUzYs6XeUwcoL4GY1NobXDOGwAKAgIzRAD6PA+w6CLqHAouuJh2FriiT8Fzm2QmoR/TBWSJO01DXQEOR8RExdkMPndP8ZQoNGy8HPpWxVdLJO00mdScv5Z0GiYdgYLQBPU82MEN7fkXADMNNv1fqp4XTyBeX4QkIAB9nt8HFqEL/j2f3LRzfMx22+P1ejOX5edl+y15ue3jNpcnLXNZDp3vto/esKUtyc3Lgdf75DYaSAcEAIG4IDC3vHNcTASmgAAgAAikIALRrwqmoLGgMiAACAACKYMAeOeUaSpQFBAABBYUAuCdF1Rzg7GAACCQMgiAd06ZpgJFAQFAYEEhAN55QTU3GAsIAAIpgwB455RpKlAUEAAEFhQC4J0XVHODsYAAIJAyCIB3TpmmAkUBAUBgQSEA3nlBNTcYCwgAAimDAHjnlGkqUBQQAAQWFALs5p+s0W+99Rba5oK9gjMgAAgAAoBAHBFYu3btxo0bgwoI9M5jY2MeD39T+6C1IBMQAAQAAUAgBgjk5eWF4gK7IIVCBvIBAUAAEEgmAjDvnEz0QTYgAAgAAqEQAO8cChnIBwQAAUAgmQiAd04m+iAbEAAEAIFQCIB3DoUM5AMCgAAgkEwEwDsnE32QDQgAAoBAKATAO4dCBvIBAUAAEEgmAuCdk4k+yAYEAAFAIBQC4J1DIQP5gAAgAAgkEwHwzslEf4HLttudCxwBMB8QCIMAeOcw4EBRfBDw2gd6jjVULlr2rXZ7fCQAV0BgHiAQuM/GPDAJTJjjCDhNp8qIRlJJYjH0vzneWKBeEhGAsXMSwV+gooWlDZMuvXiBWg9mAwKRIpDq3tlrHx93R2os0AECgMACRMA9nporHCn6ZunuP/rrjrN6XYfKgIl0jt5y4Xzuc2776Ifqvrse2V5RkBE/OxMjJX76A+f5hMCYsff0yfcuXr6Jrfjqhseernu2Mi+yvu80nv7JawPFxSuXLl28eLEQm7imObK3wyAZ8hwtTjlvN5mSh6urCWf7IqF3xNEGq0mnVmlMVlccZYRk7TLr1TIJQVsq19tCEs6qIDFS/FWkZzYIZTybzl8iXKUMAg6VVIT6PC5RaPX6Tjk9B4a3662RWGBQMvcL6x9ITl2mlOxoKfc0oTHPqHv1ku7e2o17Vbw2mG3Sbbe7BMJsoQ8T79iZ3DXVFF+pefJgwWwlzKy+c+BwYdlerk5kQweOPNJEYqREqg3QLXgERntaiNY+sVJ3vKGcBGP98UfwBwurW+rLflhs667Ingagzz53kI69qXIJRZh577p/rReX5vhu6mnqz6XiFJ53XltN+81YwTl+eNmyZa/r/di5vmAvddcTHpsrxP/NanOYVFJWh7icEyMlLqoD03mIgPPMm4dQNM+eHZRrpgwseLyWGj+rfnNqYDqLnZfP9OHytqOvMsfB5hdS1DUjS1PYO0/XTjMsd189hzpFRhq/mqDgm3LqPYmQNa9L/NS2QJiTLSwsimbIbjy9b926PcZInihRS3Ea91Wu23PCyEcM0oDALBFYTNYvW8m/3QSFm6nb0GH9bDrmNmsfttz/Lp6uytwtT2Hv7OdHZ43wwL8fJWdJFvtzFRQ3d5OTXd37q+I0sTCt4lH9yKP93JFWg2Hk9rTcWYIopDiv9LX2GUZuRlEVSaVxpu5EVgc4AwIIgQk0M4G1vHZ60IeG23yemsK85bozzS9Su2/1YVjVo6t9dVM5NdvpGPtg7xtH3zHeRH5gyYZq8a7vVGBDvapP7hHXrbcbe/9kvI7AuYPdveU7NXkCzDs2cOqDQSydzLu7eEtNOftzh87R3vdU73108dIVS1ZWflklsXVXbUl2oG6j/ScO/ub/6kZuLV+OV724Z9v9fve222m3Wa8NfnzuL3+7t6l5y+Wetz+6dHXpmi3frSsnHWs4Efbewz/bvLsNUY2cPXkU65vACuu+X5OHoYlo27Wrw8az57Fy8Q5OW0SHOS+cPvG2Sj3iFK4oWrX+kepnayvm0tSWYHEWqaX/o4bMieWR5of/jDg7b1gsqIJK89ex7RURLsbPSAAQpyoCwqd/Lm/s29u6dU2BwdFQSg2hXZ9docwpWpkb6BT8zfTeuIa88zrDX3qvfWG7k77q6/9cXsI6GX/K1LiKZBk0FI2+vYkxUkQQ5Core+AK26SrS8JekkFvJA+XqdOXJdfRbD0WDVtV0qXmKhE6vwgFj5aeYkD1A2RhVMyGQ8fFcHAi6ITS4JhGhMskE7MqYJikqUksUQx5JvVyH0sRqy2ps8MgZUrEMin3UUUTqhKPw2FQ0oYoZhCz4Wgn3wRnEM0ShRS6CqHQz9RqQzsHGmkZaqCZcgD6+Y2Aw2qxWH29wqBkOoxcO03YhsvUTt8suIhg7lFCnprxGmQLY1E3s02noIEQSdV0uNmQWk7nYCImUsrMrGjx3ISV8cXcXa1XMBEw7QaKjU1Le0qZxsLpZtXIaM6EQkv7QJtJzVRjfBAKC1NJOHcqkukMWiroDtdYPdOL8Bjo9ieUJk6oy2ZWKZgnDKft5KRNyXhyCRXJ52JdjUjr604cjxgkovCb6DlIeWexIeIHRhRS6DtBrDTEwEhgAQiEQsD3Wal02gHQUBc5XlTqKNfhMTMjOlxmDsV8bueHf1FgnG2wk/1U624qX9Z+kJmTLa5q1ivOle2mpoioshVTV7RyvrmNwPp8JNjqLd8RYaosadf2UmpqNzsnn6rb98n1/ZX0W8mYck8LmSdSvPFyBa1xdknVGxqZajOVT5ZlFKyv2bNH3Fbfgei0v9tfno2V610tTiw7W+CcVoSLnTyd8E3VZmQX1Lz4knh3G+LIHfaBU43o3QnDZNpfriffujJeOGyYeLB7YtWGr/PXMbgKCUl47cPnPx5jJzLS09Ptn5KTdx0nuyWeVdiXd2gl0ks2lOdEP33uHR44P/Yla096+pemS6SMxpOSDbd9MnJKyktyWKLAs9vtvnOH0Sag7K677vrKV74SkAmXgED/r39C34By7Z5pPye5fesSRrQzk5CCgh/9z/a9qnrM0PLzE1uP7yhJOTBpXzdztZ0jasrDiuRbCni109DHObyD9Xm8LEwQMFspLNnRO7mDonCPDV7+sOc43RhZXCX3db2BvCC2Pcq/7zNycjkSOpGPP4rcBYZl3UWbJcjIziZLphcRaoJWcN+jBNbBe5aMnFVTsvA1eayl2aUN+0tpBZL13zXyu02bfZHRnBqtWze1chcoClSuv9S8npcxo6Tzd2WbgsjAWjeV+QnROS6F+nSzoaHhrbfeCir1/fff37JlS9AiyFywCIz3v7KphRwN4VL1jyr4d39wSEobeicbfEWCQhy9EyOPYPjE7MVKaK/gK57zqWgVTsNo55QVi+AV53Dv66+1dx7qoJxwIGZuyyDjHicCiwKvQzlZtIoXVkQgH9914LOEffzg9+dHPwr1sY9RKnNVtaqrhFpuJTmmp3/x+7072wy4vOsAno5WZenjzt1Fq5hkNCdhtUZVwsV/p6ff+fT3W3e3oQ+65M88yI2I0QrwqsyQ3H/84x9v3749aPH69VE/NoLyg8yUR8A73PM4PR6QdH54sCpaV0XiYLhqc6FRWqpBMhuTKVsDRsIzt99pPJaF16N6uFihl9evz7U0pK1p4/HJyC1GU8ykgw4Id+PRhE9OKyJ89WClHYYrR9bTC8rBihOcJ8gpranjj9/d15VYm6GouramdNYtzNoiKK2s4cvwFl7HsLai9aKqKn42Sx7sjFNHsBLIAwT8ERjvr3uAIIdrkk7b0R3UOzDmdrozhKFGRc6BM+9bszdUlfNe5p2fkaFB6LV7Q0nKuWakdrTxzh6M/tBhZNRKmR/+n+qimfsugh3fsm79Sl83VVnac/zl9Wi6wOvxTf3SXNOYKqrBES9PDsvIB7vXE3x0Pb0I1hyM1YqV4w3g6JlgDPl0nLOIpPU6nW6+cmz9JJ2ZKSUPGjDE7XDRaE8Em76aRqhzdNA4YBwcs8P2gtMgtUCLxy/syt2EBmSEXO3iXLPxWGbWkwN+t50PHudAe1n11uqNhT2jvvtw+KP3qEUirOzrK32kqZOK1jsL14qpcAZDq7J3jIPDPTJKP6sYANKWMK5z1MKA6h49d36ELB2x0gtM7r/9Fz1vcesWRTJ+2UjPbwi/umSs/+i+YxewDPxlOoTt0KE/+6Af//dXGikxBit7j9+4eJEW7GE9N3UZgYjM5WupeI+RQfJhQ8o93E/W9V6jp9cdFCP0b7Wolk62bv6Fr6M4B+qyssqPDLBUsTzzTInZMHiqfomRguS6h3sqF2UV/urkn9/8Wf6yzF2He9nWm6oU5CxEBNzDZ2pzN3Yg0wnFgedWm41G4+DgQP+xJ8k3bNFyxqO4zxyoXbRoUe2+HtZdMwMr8y12SOIefGXrIRJBXNHIxBekGp5Rh5R4zCo2gI3o0hr0mq4mJtQMYcjuPcZGqiFUmhTtShkbAk3WxOUqPYqh8+0phRMSXtwxLm4SIyqZltTQoWdrEp26IfOQjot+JvEWy7Wmv5t0XVxEHS5BOb6AvAhEONg4ORROTZqByzQuq6lLzopF8SJqOuLPo5GzduIStWHIbFBTRGL/AO2oceVV9DjMJq2MjRzERFKNweyIKEhuJvHO0UqJJt7ZM4QingglEyJtUZOBkk2qFI134rUUJGOFgMfE3XLkre1/oLVBRo5Dx96EEua2tKhpd0TINeQt4jCxLkKis0Z0z8TKghjyiT7eGSnhGtJwDpGEUSxlHDTnnScnfUHQJAVap1IrSKdLH+RXKh6L1peBiTp1JjWLK7pzfV8qOIaUErZFqNoSGbXPIM3p6z96lOHJnsgvYpgjEhEus4ZTQ6LQoMeGXuEnDnkVbqvSIU077zmCJEo0ZlQjxgcXg8yaRJ4j+3aD9s5iTuEwmkUthfHOrKsNI8JX5NCLMNwXGA77iPqggRSJgId1svw+z6Wlam7IZZExY0OpmfW9DpPa30NgErnKwpamIr6LkNKc8VElvONjltseLG1JVl5O9uCxXWtQxDHyzr0N3Hyw1zlusaHJ5LRl+Xn09pwo7hUTCATUHyXUPTZmIwnymHhc+9iozZOWW8CFrTGque1jN2weTJCWtSI3O0MwPjzoyFyeKxRmCjOme+2PRASaPfamZWZMy4vWxmm3u71elBbmzCKMmLFsYZycFyqzNq5u1/+fF9aT7eUcqM0qU4kUtt6X6WWfhYECWBkLBLz20VFHVn5Btv8yoXN8zIb8EXImK/JCriDGQn4CeEzn06ZXQZCT51skDboshzZBK+BcNcUwI8MfUSwjLy+PLyo7ryDo7ZrhX5BTHPrLBz47Mh2JCIGQt7lzIIMp18LsbH+zplBARgACwrXNcnH1q8f3bF9fkoHZL59Faw646OtB2zqgKlwCAn4ICLILioN0HGFO4JDOr1ZKXczeO6eUuaBskhEQVjUfn2ymlXCqqM9Nn9pQnGSlQDwgMCcRiDZmI7gxbuPZDrIkK9rI5OBsIXceIjDe/3o9GjmLlD+t8r17zUM7wSRAIFoEYuad3fbxwQvvnqKcM6bqfrd/0ElOycIBCARDYKx3G/kZGKF9pyHI22mwGpAHCCw0BGa/KkgjZj+8aBm9KxKHoExnI/ciggMQCEDAaWzIwtswQm1+uwr9yjhaWUUrxHAAAoCAPwKx8s6Y2+30+H81lhZBIIW/MnC1ABBwGvdk4YfwJv2Hr65Hz263cVfm7pccvaE2TloAiICJgEBwBGLmnYOzh1xAgI+AfaBhWRm5iQoukVZit25jV9ra0I90Wi81T7//GJ8PpAGBBYAAvFEugEaeMybaPz1LuWYcM7S10h/so3XBnQ+Ba54zTQSKzCEEYOw8hxoDVAEEAAFAgEMgZjEbHEdIAAKAACAACMweAfDOs8cQOAACgAAgEHsEwDvHHlPgCAgAAoDA7BEIXBV8+OGHyS2K4AAEAAFAABCIPwLbtm3buxd9mRXkCFwVtNvts961LogYyAIEAAFAABCYigDaEm7JkiVT81FOoHcOSgSZgAAgAAgAAglGAOadEww4iAMEAAFAICIEwDtHBBMQAQKAACCQYATAOycYcBAHCAACgEBECIB3jggmIAIEAAFAIMEIgHdOMOAgDhAABACBiBAA7xwRTEAECAACgECCEQDvnGDAQRwgAAgAAhEhEPitYESVgAgQiAUCdrszKT9rniy5scAMeARH4JNPPhkfHw9exuampaU9+uij7FUKnOFrlBRopPmmotc+8B+qo4fq224pbJdeTtyPmyVL7nxrv7lozzPPPNPd3R1es3vuuQd9Cx2eZk6Vwth5TjXHglDGaTpVRjSSphKLE9n/kiV3QTRqso08duzYxMREeC3+6Z9SbCI3kXdHeOigdKEgICxtmHRt2JVZ1pFYi5MlN7FWLlBpS5cunX+Wp9jDZP41AFgECAACgEBQBJLunb3O8TE7bFkatHEgExAABBYwAsma2XD3Hzvccd54pa2jD8PkOltzeeIWh1Kuud320Q/VfXc9sr2iICN+yidGSvz0B87zCYExY+/pk+9dvHwTW/HVDY89XfdsZd5M+v74YP+7Xe+q+y45srJWF5V9e/vzdeUFKYdP0sbO9k/PtFGuGUGWkTYNbuODF8709A6OL7Qxtnt04MyBhtrMZYXVO+vP33JNA1OUxYmREqVyUG3hIeDs2VeZj2/+7a0iScue6uKbu3duzs9cd2xgmoA5Bijv2NGGdblrNjVeW/ebdzp+UDTSdqhl68b6C84UBBLttZ+sw6KR04Ap9LYwOngsahZXqTkM3bwrcugZfCJBKWrrEyMlUD2XXoysIpSOwII4XydLbpzNmk/szaom1DXESh1nlFkto24BQhvOT9Dkjk6yY6H67UzXsmlF5LXE5OL4pUwiaWNnBJgwJ7JlVtcXJLzkobueig9AWveZ/xfi/2a1OUwq6cyrzqBGYqTMQCEgXdAIOM+8eQg9t/fsKOdgKHi8lnK5qt+cGuAygybGzrTuJCOBRGr5C0KaIrviA5fD4fo/JTOZGAnKPPGZyfTOEVorKPimnCBpCVnzOgbyCKumOJlAmJMtLCyKZr7MeHrfunV7jJE8zKKW4jTuq1y354QxKpTpyazF0dRNltxodIU6M0aA6hNlK/l3uqBwM+UBHNbPwrIb79jbigjwpuaqPB+hIEMozEjWAptPjShSc8Q7h8VOUNzcTb6MdO+vSsHnXxSN4lfF43cV4YX93JFWg2HkdoTkGBaFFOeVvtY+w8jNKKpizhsWC9JNpfnr2IzXEpIlN2IsgXBWCEw4UPWW104P+ri4zedV5NUt1x2vL3dKakzfaSAzn3qibEpZSmaEdYsRWOQcvXDirbfV+hGhcMWq0oeqa56qKMnBvOO93X+6fgfVv3N38ZaacvQgcw/0vDtITVHcwe7e8p2aPL7kL829x7rbu/VoqCdcsZYQf7+uopgR7nXb7bZrV4eNZ89j5eIdJCvucF44feJtlXrEKVxRtGr9I9XP1lbk8NlyhAsuIVicRdo83Wrr7HBJi2rki2HGY7vw+g5Kdsem/A6lwdFQyh8pTadVsuROpxeUxwIB4dM/lzf27W3duqaA6xiuz65QrItW5oa5v4fPvU85Z+zWp3985ffdnbqR5ctx0badjd+vSlW3MJsZclMXMyUqlsrEONM0TV1DrqEurp1Ecnp239Up8eXpqBl7h0HJZZEJEUGwTERSFT2pr5ezWaicYUWp7DBImRKxTEovBCAWTUOe2Rg0F+tyKIVfO/VX3dFOvgkS+ogX3aKQQlchFHp/0XG/SpbcuBsGAlgEHFaLxerruwYlc4PLtVaWJMhZr6SmP0hXgokVaovNopLROZKwYQdBWM2RrOhnNpwDR9dsJWd5JO2G4wf3v/FOOwUL1vu3mxnFdZOeIdp7ZjHhchk7jk5qZNTyKZYVOKbDJVqzY7K3u/uSS0PNMfe1Ei09o4jh2h/2qBSMX2dZoWz7UQJvJR+UEr3j+P6Db7QzzXdpLE5RZ7RtKfOfBliYlhlHjdOoMaxwcWBjxlEkxTpZcuNtF/DnEBDm5OXlsK9T7oFXGuk3LelzD+VwNFMTaRhThZBrj79clZedV7P/eKcEDeLayuqPRbIEM5VncnPCvCiEV8x+QtZIUuDyX75Qis4ZJS8YVBPdlyY21DxI5gtyHyzCMPpNg7wmjw1P1WIt6OuTwEPe9j8rCmhkMyqb35B3qvYasEP73/ppzf687IKaF18S726j24euaR841UixkWl/uZ6sl/HCYcPEg90TqzZ8nWmgQBHz+9prHz7/8Rg7kZGenm7/1IEs7jjZLfGswr4kp5jQkV6yoTwn+pl77/DA+bEvaVaIWfqXpkvooqPxpGTDbZ+MnJJyNLUV4vjDH/5gNAZfRdy+fXtREeoxU48YyO3r69PpdFNZo5yvfe1rzz77bNAiyJwLCPT/+if0vS/X7ikO667GrRZKYdHL9RWs5sJnX3oRa2vEVPXvDW/fURx972cZJvQc1twwmjhH1NQ8PVZZwvnD0pqG0powddA8aPCZyow0vho5D9WJMEMfZtBfdWJ5iLvgvkcJrIMWR7EfOUtHQONryGLqyC5t2F/KpBfeyTXyu02b9061u3XrJvLthj1wuf5S83r2aqZn5+/KNgWRgbVuKvMTonNcKmebJUDGhx9++O677wZk0pcVFRUhvHMM5P7nf/7nG2+8EVTuE088Ad45KDJzIXO8/5VN1HgOl6p/VBHyqU+p6rZdu0Ul8u/hOeGM+9ai2Q3kPD75rxtYcTThT0nEge8WZ6IG+xZBlBTxoJgJBz9av5XYe3Lz6UL2nVkQ4NTTFtN3P35/fiyE+2mSkheZq6pVXSVYOqN8evoXv9+7s82Ay7sO4OkYM3RGK7RFq2ZhnrBaoyrhQs/T0+98+vutu9twiUL+zIN37jBC0JLvqtDTKf+LOmaoQwzk7qWOGcoF8iQj4B3ueZweD0g6PzxYNZ2ryvjaQzjWht7WlyxhHQdlgIce1+kGr2M1C8Q7sw2nUuud4VfcAzwrWzHMmQvR4hIhiDsMV46sn9FyfwhGqZ4tyCmtqeO/OrivK1FHLaqurSmdrlNHbLugtLKGL8NbeB3N6BWtF1VV8bMj4eccHTTf8qStvK8wL3va52sM5ZK62UeNH5vG78rNWVW0OgLpkZgDNHFAYLy/7gEC+VpM0mk7uiObkuB2ujOEoTsMs73zjdvIcXBUgnvosfPq+5bGQcv4sox2VdCDMbPsI2j6gX94nU4mgpXGSqU2cAT0eg6fmk4v9pvZcBvUHVT+iqXMM9DLwM7W9EwwLD8d53iTZaRsv1E4W2HBnZnnmieea6QuD9UsE9M9Q/3Bdw/3VC7KKvzVyT+/+bP8ZZm7DvfONOA5OrmUFuQGDssKd1/54oq0DM9f9kPjTGX72wJX8UJg/MKu3E1ozEvI1S7ONRuPZWY9OeB3x/vJX/1YNXXt+IzXrG6LgR47ry/N96NOhYtovbNwNf1xJWZo+cUxI2fpwNG6rKxyasORtOUrqOyRqzam2H3ug/NU0g8+lHPkzfc5PN2Df3iVglMk/x7z8aX3Gj3H7WD4YKtFtXSydfMvfK3lHCBlHxlgqebJmfeWFrNh8FRoEiMF8w5LHyCylPrJ4webX+22qGUduzdLqeCcqSrFOsfds+9RovWW2tLbUNfQgfZ4wVctibUM4Dd7BNzDZ2pzN5IDNEJx4LnVZrSOPDg40H/sSbweRdUupyc1MfeZA7WLFi2q3dfDueuMkm9T8bd9v2zv59S49IGGSkurUvElO+rIPo9FI2IxkCjUZsuQWkmGvhHo3qMOExvmhoma2juVEo4aEYnleovLoVewDDA0fakfMpu07SxVE71rictq6pIzEXWobRRqA7WZiUcjZwlxidowZDaoKSKxbvp9UqK2OOEVPQ6ECBOyiZASSTUGsyOigO6ZxDtHKyWauGOHXoThWi6SNao9iaKROznp0Cv5nTPhbQkCI0PAY+Luds45cAm0NshwcejY+19CewQ6H31pgVPUCq0F5Vi0jIdR6MIFSkemWRKosFnJdAy1y5hIYxpBsULr8x6uIXp/DAZcFCCu8m26hqNPS6ykfxfLlQrf5yQkLdHUbmY3lNIr2FZguPi+sBjStIv9CiUartqsrJorlWk3xNjNntCXdRHoR3tncSRfo0QthfGS7MM4Aq2QjyRvKkm7nukkDj35tYBIMaNHajRyJ5lY+y6zr3tGpDAQJRYBtCEl7V7Z/u53lqpJn0sdFhlDJw1oUseQ2s8lYeIuQ0q6ZmRmLH6T2+u026n53gxhTuCcvXd81IJ2e0hbsowJL/e6EamAOvjAow+2rTccHi+2ZNmKnOlXinxVKdnkZLMwZxaxvD5+kIorAs4zr7xY3flV04VX0bSV/cLhZRt34zLNpf2VcZVKfr5Uu6wRzZjhItFyDIU/i2Vd/3t/XfgQrTirBOxnh4DXPjrqyMovCOYt3GOjFpcXeZklKwpS2C3EwjvPDmSovVARcB6rzapXYVK1+WBVnEOd3APMj8xKNZMHK9HKZOYDBCbpch2t49b2F2orgN1zF4FoVwXnrkWgWWogMN7/OnLNmEj503i7Zh8ehL6FHKRnFNfoFQTWtvXdQW412kcEKUBgjiAA3nmONMQCU2Osdxv5oQGhfachOwGm0wGgomru0ymPm4wAunk7niGHCbALRMxrBMA7z+vmnZvGOY0N+Zv7MEJtfpv8Otcb/xj1zKVrERS3PgdnPDd7BGgVFAHwzkFhgcy4IeA07snC2/Amva27Cv3EuNu4K21L3H+RU1CwCf1YneEM9+lU2tIsZGHWkjiGkMcNQWC8UBAA77xQWnpO2GkfaMjC0c/GYdjt07IGdFRm4h141f3MJwbx01HwrYZODOuTvt5Lyhjv/QkK4CCUz/m28IqfaOAMCESJAIwdogQOqkWBgP3Ts22oGo5jhjZqe26Sh2hn2F17oxATrEpGyQ6L1pm/afOiMwTWp0Lbsw+90RD3h0IwTSAPEIgQAYioixAoIJsXCLid4zYnlkn+nO68sAeMmM8IgHeez60LtgECgEDqIgDzzqnbdqA5IAAIzGcEwDvP59YF2wABQCB1EQhcFUS/8fOPf/wjde0BzQEBQAAQSCEEVq5cGeI327BA73zkyBHuV4hSyEJQFRAABACBVERgy5YtobwzrAqmYoOCzoAAIDD/EYB55/nfxmAhIAAIpCIC4J1TsdVAZ0AAEJj/CIB3nv9tDBYCAoBAKiIA3jkVWw10BgQAgfmPAHjn+d/GYCEgAAikIgLgnVOx1UBnQAAQmP8IgHee/20MFgICgEAqIgDeORVbDXQGBACB+Y9A4LeC899isHDOIGC3O7OTsZNnsuT6Ae+2O7FsIfwkuB8oKXNx8uTJ3/3ud+HV/d73vvfkk0+GpwlfCmPn8PhAaRwQ8NoHeo41VC5a9q12exzYh2SZLLn+CtlHLxw70LAoc9nrlxJqvb8WcDUrBBZFdsxKBjZln41ZsoPqgMC0CDhNp8qIRpKMWJzId7dkyfUHxHlq90b0s1noyEjzL4Gr1EFgO3XEW18YO8cbYeAfiICwtGHSpRcHZsf9Olly/Q0TNnRPGpSJt95fC7hKBQTAO6dCK4GOgAAgMB0CzvExu3c6opQqT+SbZUoBM5eUddtHP1T33fXI9oqCOK4iJUbKXMIVdJm7CIwZe0+ffO/i5ZvYiq9ueOzpumcr86bp+84Tj+c3Lm9SPr9uMd+siYmJxQVPi6vyfK7Obez9g/ovps9crnsefLxeXJnjK+LXdA/2f9Cj/qPx8m1sxapHH3u86ulNBcIAUu/whf/43dt/NI7cXlL04GNP1D5dVRrLH6ycnKeH1aRTqzQmqyuV7XOZ9WqZhKC7jFxvi48tiZHirzs9s0EoHf7Zcb9Kllx/w+iZDUW8GtRfWOpdOVRSEerzuESh1es75fQsEN6ut4Y1xSzD+b6Vn8Y1XFXPkJzkjRGyzi6lhEzhUtNUJ2HTUypgmFiu0em6FBQlhsnVQzwdrO2UatJO7dCQXsGo2aSPXZ/GeMJSNemy2WwOD197j0VN4k4eUjO/IKXSDr2ctoH+H6ebOTFSAoFPlpdMllx/+8E7++Phd2VWNaEOL1bquFyzWkbdAoQ2zPjEpadHMTghkbKHTEaywppUrHfwqJtIFy6SaWjmhnbK7Yrb/T2qVUF5cI4MEVsYHbB2A6OEQ68gWck5PW20s8YIZRg1OaMiScwD72wlfZgPI9Jqz1AXyqMOkc4f+EhAmSs0HofV5jCppLQlcfLOk4mREoBpsrxksuT6mw/e2R8P/pVDSXpZwm8E6jHQA1NCqeeT8tMOgxJVk6pM/MxJhw65We7GYd0CrrawVHR/wDCZlhtdT9KskOP1fxiwLpt1NbR3xsSd3MjbqqGfIgEVWVkzP6f+qqD76jnUmP7RSYKCb8qpJykha14Xy3kg2k8m6r9AmJMtLCwqiEKe8fS+dev2GJ0RVI1aitO4r3LdnhPGCGTElCRZcjFsBqjG1OIFxYyaNS5byb9tBYWbqdvZYf0sFBSZK1eLCflLNSV8gt7WjX2YlFifTWfq/9hBJkTfL8tjqTLWVlOOv6XtIzebx57z78lkk9T58z7y1Hfur/Rdlbnqm2TVjp3vDjNVhTm5FGHf5WuR3HgUbdh/Ke+dB/79KBk8utg/dlRQ3NxNPqq691dNs5YQFp25UOiJRgn7uSOtBsPI7YjrRiHFeaWvtc8wcjOKqkgtur381m8iVDZZcjFsxqiGt2hxWsASU3jyhVI64UCWtrx2etBnsNt8nooQv+W64/Xl+qUEOZXHu5s5r4vKvKM9m1vRNMO/sqMb+4VukgtR+2iOr2pG6aOUe+74k5lzz54Jqrzj5AfDPkIsYxX1hBA9/A36wSHIqTg+6XG5XDuKGR/jYSoS3yjkP1t4PGaYnG3/sA/2vnH0HeNN5AeWbKgW7/pOBTbUq/rkHnHderux90/G60ifO9jdW75Tg9ZMvWMDpz4YxNLJvLuLt9SUs2A6R3vfU7330cVLVyxZWflllcTWXbUl2axuXrfdbrv2t8FzH/zl3q1NW7Iuv336I6t76WPbiC9V/9/m3W2I3cjZk0exvgmssO77NXkYRX912Hj2PFYu3sFJIaFxXjh94m2VesQpXFG0av0j1c/WVoRYsSWpU/YQLM4idfd/ZMXamrRofCuthPOGxYJSKs1fx7ZXTLcYH6h3suRisULVabGS1p/t++v3SyvYXh5o5UK9Fj79c3lj397WrWsKDI4GOgLC9dkVCo6ilbkRw+XuPoi8Kd749BoGSedILzX4DQA2TbiEymkbMCtKSkg/K1z1IJqcNmBYK/HALYV6X/3jKFTDOXCinnpCbPznVTwOgowMTiP3e6/uporKVsXGOWOzmnfWt1OT7kgjEUFQ8+iM3rjCNunqYtY5yWJ68tdl6mQIUBY7feOxaNiqki41V4nQsVPrenmItdj/cXC/mK2KYZKmJrFEMeSZ5NNzUsiBtMMgZTiJZVLqgUlq04SqzOWDnQXzTZ9FoK2jnXzO+0/eha0WhRS6CqEIORUYSqCBWT1h+oLSMLOVgWTJRR1opqgGQcDFTKEyxhMB61FBaizALIfVYrH6egX38Y6cNzscHhbG1fCX+xzMsqHIv8e6TO10W3DT02jdSstEYDCtJGLdjFih5WaZGQU8NpNebzKZ1EwVQjXk0zy8ktOWRu+dbToFrbtIqqY1HlKzMQYiJlLKzKxo8dyElfHF3F2tV1AvDBhaDKXY2LQ0FDINM3XvsZlVbEQLkihT6bTUUwFHC6++5QITZ6qLR89JmZy0KRmIJdSCg4t1ESJtzMDkVIhlIgq/OTnpovyI2BDxgycKKXS3FisNsbQ2Al7JkhsFqhFYAyTTIcAu3KE1v4gHUvRzFJP5Ium4tT6/BUAk26all/ICRj9W39iScdHkSaoJCAFzdXHDPJqMaGdHldPZFUE5NyznqRBR0n6qlR7Gy9oPMnO7xVXNesW5st3UCwDFZMXUFa2cb24jsD4fCbZ6y3dEmCpL2rW9lJq+yc7Jp+r2fXJ9fyU59SHILqh58SXx7rYOcsSt3V9TjmHlLqIFE2ZjrgFG2QnfFGsGj54pRVOGA6caqfcamfaX68n3jowXDhsmHuyeWLXh67F6DeGEJTzhtQ+f/3iMnchIT0+3f0pO3nWc7JZ4VmFf3qEVSi/ZUJ7DTJFFoaJ3eOD82JdsxfT0L02XSBmNJyUbbvtk5JSUl/Cm9VjyWZyTJRdLCKqzAGZhVO3/9U/QjY8OuXZPcWTuip2FkGx92NcV05aw97nHb6VEcA+9lMdH03l6z+PkhCkmUqp+fq/tL4fqW0jngWOtmwsz1eb9VQUstWDZgyKR9Adv/PTZXMe5Fws3d6jql1U6rL0v+wSzpNGcI/DgwUi41wR2goImYt5B2LEzOyLjjZ2Z10OMN6rl+LssJhR8zsyW+BPYqDibKbXY56o/MWIYSM+O0PGuocBXE0783EywGAY82/2UDYhZDtUPcHnIWYgIpNjYN6NQ7Ol8PEwIY1NTU36I46OPPvIzyXcRA7m/+tWvQojN/8EPfuAT5Z+aPap///vfQ8kNk//555/7K7Jwr6xaptPhUnXE74E2JlpZrvUDjp1TCpjZ4EQo2LlULqfdN+fm0ncyga0YLg81OnbolfQ90KQKGGL7KRL5RWQPo6n3YxpGP4my/EPZphJGkuMc7n39tfbOQx1oJj7EIZjhClQgfdpiWl/8/vzoR48hdEt+duaqalVXCbXcSiqTnv7F7/fubDPg8q4DeDpalaWPO3cX8Rc0mNyIT8JqjarkC5Y8Pf3Op7/fursNfdAlf+bBO3cYIWgFeFUmSzPl/MQTT9x3331TssmMggJuPBJQHgO5FRUVixcH70GrV68OkMddzh7VpUuX7tmzh2MYYSKUqhFWnzdk3uGexzftJc2RdH54sCpCVzXe/8Zu6i35B89tCApFln9819WPUUQuOvAHmbU855/aKKEiBeH7Kjtj/Y6D2mu6TXv7MMO5T51YOeVO3E53Bm+LbuHah9E8BxrpH/rjxdaaGOy6EKHJQc2kMoP3+dD0U0qcxmNZeD3KxsUKvbx+fa6lIW0N9VoxhTQGGR2GK0fW+0CPAce5wEKQU1pTV8rTxH1dibUZiqpra0pn3cIsW0FpZQ1fhrfwOoa1Fa0XVVXxs1nyYOcq6ghWEiYvBnKRd0ZHGBlBi2aPalZW1o9//OOgzCFzGgTG++seIMjhmqTTdnRHNkUd4A2DcRhTvsT41mo20I0hyyhEoc0dHZjqrNHdQM+iUiW0B8PrcGYnDq+TDKjBsKzA7W3vysiiCugZxPGju3IbO2SWyf15dC76L1jyVTp9ZcyFJk+5/GgT0cY7ezA63npk1BqBaNVFMxeencbQs279Sl83lSPtOf7y+jwh5vX4ppB9rL10CKIvg06xamAsN5YgkN4zwSjw6TinCUnrdTrdXrbS/DkzM2se1Efidrjo6M4Jv1m8yKQ5RweNA8bBMTsXYhpZPYpqFnLJ+vZRY++Z3gsDxplLjx5V5/iocWDAODwW0mD3+Oh4yMIZoDM/SMcv7MrdhBanCLnaxblm47HMrCcH/G7fQGtHe15roV7Am158inboPAphOUEt9XVctPhu+bE/H0FyMFHdt1gnK7x3HRXapRq18SqjJL+juwf/2IgGycSqZXwa7+cj1CUu+voU6Xy6SNPRemfhWjFlqaFV2TvG2eoeGaWfO4x4biZ+1MKA6h49d56yYMT6JUXk/tt/kehg2K1bFMn4ZSM9vyH86pKx/qP7jl0gC73X1BSVg7zgHZnL11JIjgySDwmS/nA/WTyFfrWolq7WuvkXvgZ2DtRlZZUfGaCL5uZ/9mmGtIvZMHiqpYmRguS6h3sqF2UV/urkn9/8Wf6yzF2HexPok5w9+yqXFe6+8sUVaRmev+yHxkTIdvYcqMzKrTn55z/ufyA/c9GuM6NBpF44/MO3BuP5LJ3a5HM1xz18pjZ3I3J9aJXpwHOrzUajcXBwoP/Yk+Qbtmg5NaWA+tGZA7Xo90lq9/X43LV3+BDRSplFbH+ieKp9xf/jJTTzgCYeTmjH6VLv8Id7SXeDNz3/EJ2D7rJ/fuIpKt36Tj9DRl46B16j4x3E4rWMDmTAPv/3bUY/OE37sqfWBZHO8p/JOfIp6gBKj1lFOUYkjOjSGvSariYmZI1c6mSi1NiIN0TUpGhXytgwFbImLlfp0QqdgV7vIzMICS9+GRc3kVDKtC6rqUvOVkRRG11ai29hz8HGyaGQa1I8CrMLoFeo6Ug9j4benIokkqgNQ2aDmmIqZhcDAuybA5ceh9mklTEBhwhVqcZg9t/uKZSSM4nMjVYKvZA4ZT02lEpUvmcIrflyuyXQO8vMdAklGrmkcJeKDHdn9liwaORoc7IZrhDPBFUWBrMK9TIxu2sEvY9akzlghYvatIsXb8tWXoBnj4m71dGdGnCgtUEGEmoDDapUQt/eZL7HxEQUNIVcQmRX/MRaq2fSZZJRLovrkCzeri5qsyTUW9p15Pqew6xjP5Wg43FRnplZJcSbNEMUL42C0bapy+efWI7RnaOPd0byXEMaCeuhSc3EUsZBc955ctIXBE1SoHUqNmqbvCS/UvFYtNQDjbxGOZ06k5reI4O8bEKrpnp6CZa8ZA45z6G6zBquukShQbhMofdFjAxp2nn+H3GTaMyxQjI6/MPV4uIoWLvJc2TfbtB+hHMKcZHCeMnQG9MEkerQizDcF2Ae1Z5E0chFNxi1nj7lPgyiY+isGaDKMdErcEzGbWPG/CqKfyO6OqkeDN4ZgYZ2l+R7FH7PR2mpb/siC7tfqNT3qGOjMrrC3tT+HglratcFPCuptnPpu7jRHKOFRN7FGxeiLmVSNHFDJ4oGJxSqyL8x4PpIyMSsvDPF1WO1mNFhsZJxJib6Gw+ed0aZaBM0ksJs4cZ96ON0lwcdnFouC3n4NmO2WcxDiJ4rnybhcTgQw2mIuGKHzWaljrnrmDld51mCGvJI2vVMW9FxmSL0ZWncDw01TOry3cpxl0gLoMYKEh0aXVGHnnpT5IK3UJ5NxwSNKWG7ZxqjCP+jr9SGzDb/e9iBfBHvI8NQnDwOC3IvVqsloPoUehft3BAt57sCaDwO5Kso72a1ReyBAniEvJy9d/ZjHRDv7FcGF4DApEONNlPHm+j9zunPTclvPuN+MPHvGC5CBxrniGVdvi0j4yndNaQW41hTp4kSQofiijSss0Z73aIXeZmS/FwNxs7xbIeU5B3HhSbmfQBOgIAPAWFV8/HJZvraqaI+N31qQ4yWUHxSpqTcI2eZ9Zqf9x6sRCuTmQ8QHde6XEfrZh/2NEWYX0ZGcdXxS5N0ltN4igzFxUXF7M5bA0eebZNqbY9fbfGrBBeAAIlAtDEbwdFzG8+Sa60oVJAXAxCcFHIXOALj/a+Tm36JlD/1fRcbb0gIfUslkpFRXEN+O9q29d3BIOETcVNi/PXdjYi5ov2lAlrGWE/Z7uW6lgrhbTruAIZKccM+NRnHzDu77eODF949RTlnTNX9bv+g05uakIDWCUBgrHcb+RkYoX2nITsB4ui4eFF1ETtU9rjJ4MybtxMWxObtPbANfWhGKLQvM5vBu4+JCaL9SHkG5qIiaRenuQdP7HuldywBeICI1EAgRvMxNjacxGe1jBdZESMpwGZeIOAwUFFThJpeW+etDsfLPM8QGf+Ey7lfLNJRC/IJm+o1dJIWi+QaeuEIWWxhfuXId7/QKf9wjnjhAXxTAoFYjZ2zJS5HwPHTskSMigJ7N1zPcQScxj1ZeBvepLd1V6GtCNzGXWlbLvi+KIiP9oKCTSgU1nDmKisobWkWkpS1JBGTCcYTe/CdbU2d+t7mSiRv8Niusv99IXdDE3O/uDwWajNeBYrjd7mY/ebjAwNwTS0EYuWdsYwMYcDh+9GA1IIEtI0fAvaBhiz8EMn/9mlZAzoqM/EOvOp+7uOreIkWfKuhE/0mnPT1XlLCeO9PGlXoq5jnSuIueOBYA76TtPj2J8eRvbt2Va6p76h76H4Bd7dkCBxXyc9nez++mpHBzryQWsKx4BFIiRE+KDk/EGB+sQH3++AA7dmdGOssWiV5u4uoLwjEihl+KBidjsxulv4WE/yf+OB++AOpRiT8pwyiswpqJQaBRUjMgn9CAQALBgG3c9zmxDLJHztfMDaDoamKAHjnVG050BsQAATmNwIxm3ee3zCBdYAAIAAIJBgB8M4JBhzEAQKAACAQEQKBEUXf+973uF8hiogBEAECgAAgAAhEi8C3v/3t7373u0FrB84763S6f/zjH0FJIRMQAAQAAUAgtgjce++9999/f1Cegd45KBFkAgKAACAACCQYAZh3TjDgIA4QAAQAgYgQAO8cEUxABAgAAoBAghEA75xgwEEcIAAIAAIRIQDeOSKYgAgQAAQAgQQjAN45wYCDOEAAEAAEIkIAvHNEMAERIAAIAAIJRgC8c4IBB3GAACAACESEQOC3ghFVAiJAABAABFIfAfRzB59//vm0dixfvjwtLQk/lQreedqmAYJ4IWC3O7OTsZNnsuT64ei2O7Fs4dzcbX8u6+YH4mwv3nnnnfr6+mm5fPTRR5s2bZqWLOYE8K1gzCEFhtMh4LUP/Ifq6KH6tlsK26WXE/f7ZsmS64+HffSC6q0361va5Dpbc3nirPfXIvjVXNYtuMazy71x48bg4OC0PL7xjW8sXbp0WrKYE8DYOeaQAsNpEHCaTpURjSQRsTiR/S9Zcv3hcJ7avRH9bBY6MpLwruyvS+DVXNYtUNeYXK+gjpiwigcTWBWMB6rAMxwCwtKGSZdeHI4kLmXJkutvjLChe5L/a1X+pcm9msu6JReZ5EgH75wc3EEqIAAIxBYB5/iY3Rtblknmlsg3yySbmrri3fbRD9V9dz2yvaIgjqtIiZGSuq0AmicSgTFj7+mT7128fBNb8dUNjz1d92xl3jR933ni8fzG5U3K59ct5is6MTGxuOBpcVUe4+rcowMf9g3etX1HRRB+7vH+D959t0t9yeLIyl+9dsO3GyR18bzn+IoGSyfmx2WnkeKy6tRqjc7kmoYu0mKrSadWaUzWWPGLVG6s6VxmvVomoX5DGsPkelus+dP8EiPFX3d6ZoNQOvyz436VLLn+htEzG4p4Nai/sBlezQHdHCqpCPkqXKLQ6vWdcnoODG/XW8OaYpb5/dQ739nhGuuky2ZWt8uYewlXTL2X0E+20wyU2iGLoZNO43JdWKHxLZwLY2fvGWluuLHI5AAAEwpJREFU9SESzSaV+dWaAj6u06bddrtLIMwW+gzxjp3JXVNNVZSaJw/OjN208hJI4Bw4XFi2lxMY5FHPlc0ikRgps1AQqi4sBEZ7WojWPrFSd7yhnLR8/fFH8AcLq1vqy35YbOuuCBXk4r6lN5DkOCF5au1yMoVhmZmulpZDWNOBTTnOI4sKd9O56P/ywOVo9+CJ/E2NqESpdzSsR7/XXtymOLVxtwq/LwmhGpyac2He2Tl6idHn0uB1TrPIEuOHly1b9rrej9j1BXupu+5kkyl4FuL/ZrU5TCppXHVPjJS4mgDM5xECzjNvopEasWcH5Zopwwoer6XGz6rfnBoIZanzykUUCCNVmS51Hz3IHvubtqNBuGJXhQAT1tusNptJGnx8PSpbsxNxxqUayjWTQspfPu1wONp3lISSmID8ueCds6ua5ZSpRPO2dTOz2X31HGpJ/9AkQcE35dQLDCFrXoeegql7CIQ52cLComhG/8bT+9at22OM5OEUtRSncV/luj0njIkGOFlyMWwGqCYGlORBET/7qFnjspX8O1dQuJm6ox3Wz0LJzVy5WkzIX6rxc6a9rRv7MCmxnhxvC7NzsrPzHywKwsDe/04rmY0feIn/yYlAKOS9kgepF/esueCdsYKqZmr+prtqhjPwA/9+FD0wscX+gaOC4uZukl/3/qqMuAMYdwGeaCTYzx1pNRhGbkdcNwopzit9rX2GkZtRVEVq0U3mt34TobLJkothM0Y1vEWL03zTceEpQ5XODopQXMn82esWjnvYsgkHKm557TTvIxG3+Tx5n2O3XHdCBWUIciqPdzfn8Th7R3s2t2KE8l+nHd18rO4k6+F1/8wuHfLYJDM52/5hH+x94+g7xpvIDyzZUC3e9Z0KbKhX9ck94rr1dmPvn4zkTMUd7O4t36lBhnvHBk59MIilk3l3F2+pKSfBdDvtNuu14SvG84Z08Y/qEBnKuWG9ZrpwbjR9w3dri86dOv6O+uINp1NY9PBLP325nFm7tfce/tnm3W2Iw8jZk0exvgmssO77NXkYmoi2Xbs6bDx7HisX76BEIBp0OEcvnHjrbbV+RChcsar0oeqapypKcuiiefdfsDiLtMn/qRVrK9Oi8a20Es4bFgtKqTR/HdteMd1ifKDeyZKLxQpVp8VKWn+276/fL0Uv3bM4ZgFFCKmx0y2EgOmyhU//XN7Yt7d165oCg6OhlBpCuz67QlUrWpkbMVzu7oNovI03Pr1mGone4fdaqRlrw7UPT7xySt45gi3HN4p2vtRYVZps/zCbRUd9exNjuYggyFVW9iCXRF1dEvYSE+motXmXiXpGUdkiejHUoeNNBFFkfjkcBy4hNtCBGC6TTOwTKWlqEksUQ55JvdzHjxFBWWjqYmZvxVKZmCVp6hqajfmJqeswKGnjZ7LE72gn3wQJfcQhEVFIoasQCv1McTC006vwTJsqDRFrSUlKltzJyRmjGgQZl8HPeKJ9Zsb7c4waCn827FVMdWOZRnN2WC0Wqw8Y7uMduTZ82IZPFuNqxAHw0i2IYSJesJBDT82a0L1RojZZLAYVnSNpn3Hf9mkQixQWNRObTkEbJJKqaYc5pKanj33Gm5kVLZ6bsGpon8re1SicSyVh3CVNRuZwDlTU1D5kQ+wdGgXTq31OysN0dEJp4qxAcTMqBfNYYEVMOvSMg5O0GxCly9ROa57ccBlO5/CJKPwmMpHyzmKDJzxvX2kUUmgYxUoS0kQeyZIbBarxhiV5UMTbMh5/32elUjT8iuxgvLAMRdL5HcG8s48/wZE7DIyLmOnQwU/arC8iflFgBjrcyX6qdTd1IWs/yEzvFlc16xXnynZTU0RU2YqpK1o539xGYH0+koyC9TV79ojb6jtY1mTO/7tH3EHmEP+r9YVicvI4o7JuJ767g3oDYQld7IznhG9+NSO7oObFl8S72zh2aLrwhKyRrIPLf/lCKcmr5AWDaqL70sSGmgdZXql99tqHz388xk5kpKen2z8lJ+86TnZLPKuwL+/Q1qWXbCjPiX4m3js8cH7sSxao9PQvTZdIGY0nJRtu+2TklJSHni8aGBj4+9//zrLwOz/yyCM5OUFfJGMg9/Lly59++qmfPPYiLy/vX/7lX9grv/PsUb19+/YHH3zgxzSCi6eeeirEfpUxgOLs2bM3b96MQItpSNDGQIWFhdMQxaK4/9c/oe9luXZPsSAijs6BE/Wkh5FsfThoj/Jn4vyMnGZC7kH240qWXFj6nJKoR9uhNL72/neP1kV/0/iLmvFVlP6dfR3gzx4gVsw7CPviwI7IeGNn5vUQ4wa2qBY7tvWRse8yvpxJ9rXLN3ZmH3p8VpQ5NiX1ZsLks6qiaGp6jB+lyUmqxmKI+QyfoolDz761hG1/XB7yTS0CKbaIZGA4PYs1RUcy4/nnnw+l4Pvvvx+0yuRkDOQ2NzeHkvvMM8+EkIu6ZUQWh0H1b3/7Wyi5YfLtdnsIlWIAxWOPPRZGdORFr7/+egglY5lt1TJNgEvVkY6bJ20K6vVcJNdOUSXI2Nk11EVbTfi/BerowC9Mao5Y8BRxs82I7GE0tdHSMDriJcs/mm0qYUQ5aZFQsSPl6WkFfstVrKpESVHSnoHT6zwrisxV1aquEmq5leSTnv7F7/fubDPg8q4DeDpalaWPO3cXrWKS0ZyE1RpVCRdKnp5+59Pfb93dhj7okj/z4J07jBC0ArwqMyT33/72t21tbUGL0YA/aD4KhZq9XBT/KpPJgvL/yle+EjQfZc4e1aKiIrfbHYp/qPzFi/36L48sBlD86U9/+u///m8ezyiTIUb3UXILWs073PP4JuprLEnnhwerInRV4/1v7O4j+f3guQ1B2QZkZuR/Dc2ZouH5CqGfG7rzGf2Cf/m6Cyvgh/cF1I/nZYQmh1YhVEcKXSNZJSq13smsASdLhXjJFeSU1tSRkzbs4b6uxNoMRdW1NaWzbmGWp6C0soYvw1t4HcPaitaLqqr42Sx5sLOAOsjwmUHzLU/ayvsK87KnfWLGQC5ywZwXto8aPzaN35Wbs6podXjpMUGVdrXO8VHz1VvY0pWri0NEqLjHR53CgmkmnmIABedVA36CILyG46PDt1zY8vyCnIRFAI/31z1AkDOZkk7b0R3ZVHdyO90Z0/xgwZjyJcqhixTV1JRosG4YkMcM+26QgWe+464C2mkXLfVz2j6CBKSijXf2YPSHDiOj1gi0VF00c99FsLby3LrXMxGKSbABM+tvWB0wHiuKj9ePHUc2cpVTgiZzOmc8rgml5xzLZ2DzuOKol4tutYlgTRRarHu4p3JRVuGvTv75zZ/lL8vcdbh3pm0QnVxKI2fPvsplhbuvfHFFWobnL/uhcWayo0PV2XOgMiu35uSf/7j/gfzMRbvOjAaReuHwD98anHFrRQMF+gmCnmMNlYuWfavdzjRTeA3dPfvW5RY+++qrP8zNSjs2MB66bWNXMn5hV+4mNHYl5GoX55qNxzKznhzwv4cDRI72vNZCrU01vfgU7dADCJjLLF52xtpqKuBg5HP+py5ugxqNp5EG6/KnHT/wmMU2Ga13Fq4VU5ERhlZl75iX1ck9Mmph0+Q5bQnzSjBqYUB1j547P0IWjVi/JE/UcePiRTrhYV03F8eZxr0mu76kWV80sCIyl6+lgj1GBsknxFj/0X2H+0k+3mtq6qWEXBhDh3A1/R0oZmj5xTEjnYf+Dxyty8oqvxC2sTniJCZYSJAK7GMpDtokRgrmHZY+QGQp9ZPHDza/2m1Ryzp2b5b2jMbBoKkskZd5lGi9pbb0NtQ1dGjkGL5qyVSqWOeM9vyEaMnXOy4dbN7fPYl26umoLpSOcncMLW7szMa9qqV3xVp2MH7UTxDUt6F3/yJmr4nwGg6e2E20GlRm/dGjvVq5qL5sW3+c/bN7+Ext7kbSNRKKA8+tNhuNxsHBgf5jT+L1KBpsOeNR3GcO1C5atKh2X4/vDvYOHyJaKaOJ7U8UB7M+jRm3Ma6BJsn4toSc9TK0/LKffV5h9ksayoc0fU/ECAzGLu55UU9ce8wqJhAOI7q0Br2mq4majCc1ZlcFJ9mgN5TXpGhXyphYN4ysictVehcKb9N1sRF1mEiiNFjsJm0nF1FHSNvRVnMuq0HBEeGSLt0Qtb7nULISRVS4NS7TuKymLjkrBRMp1GR4tMfChPEhqRKF2mwZUitJGgK5ibl8eBxmk5bdVguhKtUYzI6I1ijo1Q/emmoYM6OVQi8kTlmSDSOJXP8VYbiWi2SNase4aOSyK8+za/GZoMrCoFfgmMy3zxm93O0fp+XqpMZuYVZ9WWaB5+igYH76gN0gMJyGLioWWNzOLKdbSI8VbLUtULHorz0m7u5FsgIOtDbIcHbo2FtfwnwAgQo8Jub7i6YgS4gOq1nb5Vt7aGrXmH0h1S5VE+XMCIWFFGBRUGEFyEEEROQx0hN1ij7eGWnoGtJwPpPEUSxlHDTnnScnfUHQJAVap1KzgcvoUqQb41Ami9EheuUYizudgYk7TUO8L1toKubzFrOG6thknkShQX1IT6/XMlXRifVQjqF2GUdLFosV2ogcXaJaYqocLo7CZw3aQyuibzdoPyKO5GuUqKUwrmFGTzjqpkJB/gzydDiNKMh2jlPR4HKikTs5qZGR3aprVgvwM0CV05bqkBKdlbFYT4UTKXS+DSxtOiYsQTnzDUWjg2KKd0bIBNeQ4e/74MhMftOFyykXxpkYy4THombHfPxez6Slak6yhd0vlBdTwYZ1dZmZpwlPM99IzseX56bQ41vNbFXKlItlXcl1zUj5WXlnyniP1WJGh8VKdjgT/RmYn9mTHvTYoki4cR/6oXKXBx089KJPehwOxC2y+h6HzUodjqntFxkHoJoVAtQ9gDfRO3nTHzShN55ZsYyoMhNkieEidKD7L2H3nmtIjV4EmzpNlJp0sJdIwzrrSc8QGirKlOSYLoqxc0SmTyXyf2UJoyH95JBpOJ/IvD2ECZqcKi1eOR6bechMfqnGOxzIF/lGxLyCyJIum2VoaAj5KmsA38iqx5xq9lOZgpy8Au5xFHR5D22CFhCSkpERw5l2tJVUxFagnaBzkjmPxAG1UBPCqubjk0zwsVNFfdD01IagU4QxRcg9cpaaRsSe+nnvwUq0Mpn5ANFxrcsV/w8NMoqrjl+apI1xGk+RwV64qDiH6bEDR55tk2ptj19tiam5M2IWRsORC+cQq9x7uFvG66BmbHmrFDMSFVNiQXZBcXYAR2FegKcJKJ/mMiM7bwrLaarEtTjaVcG4KgXMFwAC4/2vkx90iZQ/rfI93eNsN6FvqUQiMopr9GhmsW3ru4NBwifipsP467sbEXNF+0uMwWM9ZbuX61oqhLfpla2IBxnxUnGKhpSgCSxgETNe4oFvAAKx9c5u49kOUkBWwJ6eAULhcsEjMNa7jfzQgNC+0xA4/okHNnRUpaia+x7J4yYHgTdvzziILVrtvL0Htu3tQ2EI2pep7YbR5ozHxATRfqQ8A6O3JFichn6gY98rvWPRiphlvakaYkXlD5NMfTGTgqysWUqB6jNAIGbe2W0fH7zw7inKOWOq7nf7B53wxJ1BQywkUqexIX8z8lRq89sVaGcDb/w7SubStQjgW58nzBkHNKfxxP+zuaVPJNecfrkCFSGLx3p/Xd+HqerXoLCwrDJyTN2I567Z2bo0STNvUzVEKgmWLEX/ey+MoP/k4bVcIl93Kou4qQ46H/7HCYEYzWTbFFP0k/EWpmMkBdikPgIOAxn2hDcxEQrkOjuzwWw8bfOoSak+QXTsRLuJC+6Lo3BDJym7qZMJ30Qr52hzRLSWzRwuj4Xa7lGhtaDF8jjqwbGmYxt4m5cG1ZAkpyPq2Ng7D70lRbB4NY43JGKIwOxjNhhlXC62t7HnSOMoYmgNsJrjCNj0TDQrLpE2SdBBxk/g8gSELtEb/qLRK4kQvY0t63Tiipm+nbGYNlhMbUou89+n2NRFum9C4QuLjqtKDrOahB0To8cBEhRewyFKNyoE0KOi1IRBV1xbh888Zt6ZzxTSgEBQBJg9wXG/kNb4ft3A08OiVZJOSUR9aSBW0F808crjkWT2S/O3mOA7Z3Y7RlK1gG3S4qHQlJ8++Dv9hUBoDT0aarc2EdloeFdC3jbiYXgq8lyElCb7BRyAwEJAwO0ctzmxTPLndBeCubGy0Wm3e1HkRmbO9JtWxUok8MEw8M7QCwABQAAQmIsIxCxmYy4aBzoBAoAAIJCyCIB3TtmmA8UBAUBgXiMQ+HnS559/DjPR87rFwThAABCYQwig32fIzOQ2SvZTLHDe+aGHHorit3b8WMIFIAAIAAKAQGQIbNu27Wc/+1lQ2kDvHJQIMgEBQAAQAAQSjADMOycYcBAHCAACgEBECIB3jggmIAIEAAFAIMEIgHdOMOAgDhAABACBiBAA7xwRTEAECAACgECCEQDvnGDAQRwgAAgAAhEhAN45IpiACBAABACBBCMA3jnBgIM4QAAQAAQiQuD/B4cfG0hXyzW5AAAAAElFTkSuQmCC
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
iVBORw0KGgoAAAANSUhEUgAAAy0AAAGaCAIAAACNIju1AAAYSWlDQ1BJQ0MgUHJvZmlsZQAAWAmtWWdUFM3S7pnZxJJzlpxFcs45B8lJZck5LDkrIkoQECWrIGJCBCNBEQREFFExgBhQFFExIggKgny9GN733HPvv2/O2dlnq6trnqrq6ZmqBYCfgRITE4GyABAZFU91sjAW9vD0EiY+BwjAADtQATiKf1yMkaOjLfifx8Io1IbHfXmarf+p9t8HWAMC4/wBQBzhsF9AnH8kxOcBwDH5x1DjAcBfhXKxpPgYGn4LMQcVEoR4mYaD1zABsgccfr+w+JqOi5MJAARNAEgMFAo1GAAmUygXTvQPhnaYAuAYW1RAaBSclgyxvn8IBcr42qHO+sjIaBp+BbG037/sBP8LUyh+f21SKMF/8S9f4Ex4YdPQuJgISsraj//PU2REAozX2iECzwwhVEsn+M0B47Y/PNqGhhkgPh3lZ+8AMRvEnaHQo9/4dkiCpSvENP0J/zgTGEvABfHXAIqpDcQCAKDkhHBXo99YkkKFaE0fNQ6Nt3L5jd2o0U6/7aNhURH2tPUB7aDpIYFWf3BpYJyZM5RDDmhYUKi5FcQwV+jx1BAXd4ghT7Q9MdTNHmImiK/GhTvTONDs3EsNMaHJ13SoCU40zuJQ/jaIak7zEepgDJFxEK3Zx0T9KWvX4oFy1fgQF0soh3Mx24BAUzOI4XUxj8Ao1998sJCYeGOaHZp+akzE2vqGPLHSwAgLmlwU4oa4ROc/c6/FU11ochg3bDSMYk1br5Az9i4m3pEWExqf78AWmABTIAwS4McPRIMwEHr7Q9sH+OvXiDmgACoIBoFA/rfkzwz3tZEoeHYGqeAjiII6cX/nGa+NBoJEKF/5K/01Vx4ErY0mrs0IB6/hFSJxfDh9nA7OFp4N4UcZp4nT+jNPmPkPT4IZwZRgSTAnyPyRAH/IOgJ+qCD0v8hs4Fgg9I4Kz1F/fPjHHv41/i7+JX4EP4F/BNzAqzUrvz3dEppN/cPgr2U7MAGt/YpKIIxYFJj+o4OThKzVcMY4Pcgfcsdx4fiAPE4VemKEM4C+qUHpn+jRWCf85fZPLP/E/Y8ejbXwv3z8LWeSZVL7zcLvj1cwk38i8Z9W/hkJBQFQy+Y/NbFd2DlsAOvBbmCdWBsQxrqxdmwIu0zDvzmbr0Un+O/VnNYiGg59CP2jo3hScVpx+c+vv75SoITGgJYDuP7jA5Pj4foDJtExKdTQ4JB4YSO4CwcKW0X5b1gvrKyopAYAbU+n6QAw57S2VyNcd/6RUeC61uQEgLz0jyy6EYCWJbhlbv9HJvEYAO4vABw77Z9ATfxlD0f7wgMyYIZ3Bi9YB8SANPRJGagDHWAIzIA1cAAuwBNshlEPAZGQdRJIB9tALigAJaAMVINacBgcB6fAWdAGOkEPuAZugmEwAp7AtTEF3oMZsAB+IAhCRBgRdoQXEUIkEDlEGdFE9BEzxBZxQjwRXyQYiUISkHRkO1KAlCLVyCHkBHIG6UB6kBvIXeQR8gKZRmaRJRRDGVAOVBCVRBVQTdQItUFd0E1oMBqLpqI5aBFaidajTWgr2oPeREfQCfQ9Oo8BjB7jwkQweUwTM8EcMC8sCKNimVg+Vo7VY83YRZjr+9gE9gFbxBFw7DhhnDxcn5Y4V5w/LhaXiSvEVeOO41pxV3H3cS9wM7ifeEa8AF4Or423wnvgg/FJ+Fx8Of4o/gK+H947U/gFAoHARZAiaMB705MQRkgjFBIOEFoIVwh3CZOEeSKRyEuUI+oRHYgUYjwxl1hFbCJ2E+8Rp4jfSfQkIZIyyZzkRYoiZZPKSY2kLtI90hvSDzoWOgk6bToHugC6FLpiuga6i3R36KbofpBZyVJkPbILOYy8jVxJbib3k5+S5+jp6UXpteg30ofSb6WvpD9Nf53+Bf0iAxuDLIMJgw9DAkMRwzGGKwyPGOYYGRklGQ0ZvRjjGYsYTzD2MT5j/M7EzrSByYopgCmLqYapleke0ydmOmYJZiPmzcypzOXM55jvMH9goWORZDFhobBkstSwdLA8ZJlnZWdVYnVgjWQtZG1kvcH6lo3IJslmxhbAlsN2mK2PbZIdYxdjN2H3Z9/O3sDezz7FQeCQ4rDiCOMo4DjFcZtjhpONU5XTjTOZs4bzMucEF8YlyWXFFcFVzHWWa5RriVuQ24g7kDuPu5n7Hvc3Hn4eQ55AnnyeFp4RniVeYV4z3nDePbxtvON8OD5Zvo18SXwH+fr5PvBz8Ovw+/Pn85/lfyyACsgKOAmkCRwWGBKYF1wnaCEYI1gl2Cf4YR3XOsN1Yev2retaNy3ELqQvFCq0T6hb6J0wp7CRcIRwpfBV4RkRARFLkQSRQyK3RX6ISom6imaLtoiOi5HFNMWCxPaJ9YrNiAuJ24mni58UfyxBJ6EpESJRITEg8U1SStJdcqdkm+RbKR4pK6lUqZNST6UZpQ2kY6XrpR/IEGQ0ZcJlDsgMy6KyarIhsjWyd+RQOXW5ULkDcnfX49drrY9aX7/+oTyDvJF8ovxJ+RcbuDbYbsje0Lbhk4K4gpfCHoUBhZ+KaooRig2KT5TYlKyVspUuKs0qyyr7K9coP1BhVDFXyVJpV/miKqcaqHpQdUyNXc1Obadar9qKuoY6Vb1ZfVpDXMNXY7/GQ00OTUfNQs3rWngtY60srU6tRW117Xjts9qfdeR1wnUadd7qSukG6jboTuqJ6lH0DulN6Avr++rX6U8YiBhQDOoNXhqKGQYYHjV8YyRjFGbUZPTJWNGYanzB+JuJtkmGyRVTzNTCNN/0thmbmatZtdkzc1HzYPOT5jMWahZpFlcs8ZY2lnssH1oJWvlbnbCasdawzrC+asNg42xTbfPSVtaWanvRDrWztttr99Rewj7Kvs0BOFg57HUYd5RyjHW8tJGw0XFjzcbXTkpO6U4DzuzOW5wbnRdcjF2KXZ64SrsmuPa6Mbv5uJ1w++Zu6l7qPuGh4JHhcdOTzzPUs92L6OXmddRr3tvMu8x7ykfNJ9dndJPUpuRNNzbzbY7YfHkL8xbKlnO+eF9330bfZYoDpZ4y72flt99vxt/Ev8L/fYBhwL6A6UC9wNLAN0F6QaVBb4P1gvcGT4cYhJSHfAg1Ca0O/RJmGVYb9i3cIfxY+GqEe0RLJCnSN7Ijii0qPOpq9Lro5Oi7MXIxuTETsdqxZbEzVBvq0TgkblNcezwHfHkeSpBO2JHwIlE/sSbxe5Jb0rlk1uSo5KEU2ZS8lDep5qlH0nBp/mm96SLp29JfZBhlHMpEMv0ye7PEsnKyprZabD2+jbwtfNutbMXs0uyv2923X8wRzNmaM7nDYsfJXKZcau7DnTo7a3fhdoXuup2nkleV9zM/IH+wQLGgvGC50L9wcLfS7srdq0VBRbeL1YsPlhBKokpG9xjsOV7KWppaOrnXbm/rPuF9+fu+lm0pu1GuWl5bQa5IqJiotK1srxKvKqlarg6pHqkxrmnZL7A/b/+3AwEH7h00PNhcK1hbULtUF1o3dsjiUGu9ZH35YcLhxMOvG9waBo5oHjlxlO9owdGVY1HHJo47Hb96QuPEiUaBxuKT6MmEk9NNPk3Dp0xPtTfLNx9q4WopOA1OJ5x+d8b3zOhZm7O95zTPNZ+XOL//AvuF/FakNaV1pi2kbaLds/1uh3VH70Wdixcubbh0rFOks+Yy5+XiLnJXTtdqd2r3/JWYKx96gnsme7f0Punz6HtwdePV2/02/devmV/rGzAa6L6ud73zhvaNjkHNwbab6jdbh9SGLtxSu3Xhtvrt1jsad9qHtYYv3tW923XP4F7PfdP71x5YPbg5Yj9yd9R1dOyhz8OJsYCxt48iHn15nPj4x5OtT/FP88dZxsufCTyrfy7zvGVCfeLyC9MXQy+dXz6Z9J98/yru1fJUzmvG1+VvhN6ceKv8tnPafHr4nfe7qfcx7398yP3I+nH/J+lP5z8bfh6a8ZiZ+kL9sjpbOMc7d+yr6tfeecf5ZwuRCz++5X/n/X58UXNxYMl96c2PpGXicuWKzMrFnzY/n65Grq7GUKiUtXcBDJ7RoCAAZo8BwOgJAPswfKdg+lVzrWnAV2QE6kDshuShsZgZzgSvQBAnMpP46XjJwvT6DC6MiUxVzC9ZVdky2Uc5lbhyud/w2vJdEOAXLBYCwgkis2IR4l8ls6RZZGrkZNe3bTBWuKcUpDynmqPOp9GopaU9pOuuN2EQZPjeONJkxizS/LXlFqv7Nha25+1FHIocZ510nTNcOl2/u6t4RHjWe436kDZpbg7aUup7mTLtzxagFOgQFB68PaQy9GRYZ/hgxFjkq6gv0cuxRCp7nEA8fwJHIjlxOeld8oOU9tSqtMR0hwzJjB+Zd7IatiZv887W3y6aQ8z5tGM098rOpl3Vefn5mQXUwrDdfkXuxdolvCWLe56UXt5bu297WWi5Q4VGpXAVuepr9fOaof19By4ePFVbW1d4KLHe57Bhg+gR9MjLo1eO1R3POhHQ6HLSqsnwlGazUovMaZEzPGcZzv489+H8wwvdrQ1tue3hHY4XNS4Jd9J1fr38omu4u+fK+Z7jvQf7yq7u7t96jTKge53n+sKNB4MXblYMpd3yvW15R2mY/y7h7ty95/e7H9SOpI+6P1QYw8buPap87PmE88nNp8njYuODzxKeSz9/NVH3YtNL/pdjk+WvnKdYpm69zntj+mb1bcc05R36rua9zvvJD+Uf7T4RP3V/jpsRnun54vhldNZ6tn1u/dzRryJfa+dF5psWjBZefKv5Hr7os5T+4+FKw+rqWv7NUCUMh03jevBlhHiiL8mDzplsTW/NsJHRn6mQuYflO5siewjHYc433Eo8qbx9/NwC4YLdQoJwDYyLmYlfkBSTKpZekg2Xeypvu6FDUV6pWoVJNUttRmOL5oC2gk6V7k/9AIN+IzHjTJMxMwXzXIsxK1nrZJtm23F7egdNR7+NeU7NzndcPrsxust5mHv6eqV4l/g0bGrdfG3LiO8k5bPfYgAIJATRBzOFsISyhXGEc0SwRTJHkaPR6O8x72OfUAfizsRXJKQleidpJXMlz6YMp55OK0mPznDIVMpiz1rY+mRbT/ax7cU5yTv8cq13ysC98UVed/7+grRCz91aRbxFP4rHS7r31Jfu2Bu+z7PMslytQqSSXDlbNVbdWVO7P/uA30GTWvE6fN30odH664cvNrQcaThafWzP8Z0n0hqjT/o2OZ7Sa5ZpYWtZPv36zN2zXXC/OnShvLW4raC9oGP3xdJLVZ31lxu7Krq3X4nu2dRr12dwVa1f/prMgMx1+Ruqg/o3rYecbzncNr+jO6x0V/Ie/32mB8iDuZFXoyMP+8cuPDryeM+ThKeu42rPOJ/NP38wce5F6cvYScdXClPMU59e33nT8rZoOvKd9XvJ9z8/3P/Y8In6WW8GN3P9S96s5Rxhrvvrpq8z84nzPxf2fVP+Nv794CJ1yfOH+3LISuHP7t/5F0NOo54YK3YW540n4zsIVKIaCUe6TldCDqA3Z1BiFGMSYGZjYWLlYRNiV+Gw46RyHeS+x4vw6fEHCZQK9qz7KMwnYiwaLlYq3i7xXApIi8gYyHrLUddvly/bcFyhQ3FQ6YnyR5UVNXp1fg1pTQ0tM20HnY26jnp2+pYGBobKRiLGDMZfTR6ZXjSrMk+2cLVUtCJbjVu32GTbutnJ2xPsXzp0Ox7cmOnk62zsIuaKc33l1ude65Hu6eGl4s3o/cbnyqbKzdFbzH0FfGco/X5V/qEBGoGEwJGghuD4EJNQ9tDJsPPhuREekTKRy1HXowtiLGNxsVeo6XHqcV/iGxP8E/kT7yXlJxsmL6Q0pVLSuNPupO/KMM5YybyUlbJVa+vSts7szO1GOVhO346tuVq5cztP7QrJk8ibzD9cEFAoUzizu6NoR7FTiXDJxz0X4Rpy2Me971nZ4fLgCpmKd5WNVaHV0tVvak7sLzgQfdCpVrWOs27u0HB94+FtDS5HJI8sHL16rOR40Am3xo0nbZvMTxk0q7fInhY4Qz6zcPbZub7zRy7saI1uS24v6mi42HnpQeenLlK32BX9Hq/epL69V0/3D117f533hvVgFnyCzd5WuZM83HeP837kgxujsg+LxhYeBz75MF74XGPi08u2V5Wv9709/27lY+6M/VzUwtcfvLT8/+q90Z4JBHUASvsAcF0AwHkbAAXXAJCCvT1uMgCOjAC4aAH0hQVA96UC5JDF3+cHAp8iBFh1sgBuWA3LAFVYa9oCL1hhJoNdoAIcAx1gEIyDGQQPK0YFWCf6IHFIIdKAdCFjyBzKhMqiFmgAug2tRS+jT9FlTBDTx3yx7dgx7CY2g+PE6cLarQB3DvcUT8Ar4Tfh8/Ct+CkCJ+yYJBEaCeNENqIFMZPYSvxMkiUFkupJE3RCdL509XRTZBlyFLmdnkTvRd/MgDF4M5xnZGaMYLzJtJ6pmOkrszfzVRYFlhpWOtZU1i9soWyv2P3YJzmCOT5yJsGKpZRbjLuVx5Znkjedj4+vlz9KQEhgRLB0nZuQiNCc8JBIo2iRWIK4r4S+5DopRGpKelDmtGyFXOb6QLgLqioIKOIVF5SBCoMqn5qMuo6GvSZFK0l7t84R3W69J/qLhoxGosb6JltM88w6zGctlaySrHtsWewo9hccsY2GThnOl1yW3HTct3pc9+LyDvO5tll2SzmF3m9nABKYEbQYkhg6Fx4b8TEqNHoqlkIdj/dKeJgUkCKQOpJenGm9Fdt2eXvijg25r3cdyHcrZN49WFy3J30vpWxjhUOVb03hgZE6vfrBI4nHWRtTm163uJy5dl63taND99JAl9eV+b6lAcVBqaGZO8fvhYxYjaU99XjBN5U63fXxyBe2ue8LMd9zlix+3F1h/Sm/yrW2f9C600TY32OH/UpJoAT0YA/GC3bb0kAhOABaQC8YBe9hz4AH5t4CdgdSkTLkNDKETKNEVAI1g5nPQY+g19C3sLJXwFywVKwO1vCfcTyw3xSJq8T142bxwngHfBb+NP4lrMVtCNsIbYQZogzRn1hLfEriJ3mTDpCe04nThdKdplskm5CLyBP06vRF9G9hfXyIEWH0Z7zOpMBUyYxjjmV+weLMMsCqx9rGpsJ2ll2FvY1Dj2OA05lzkiuBm8xdz6PH85g3hU8A5jtcgEfghmDWOq11i0JdwnkiXqKKYgxiH8WHJc5JVkllS0fKeMlayWmtl5Vft4FNgaQIFFeU6VUEVDeomah7acRrFms1ad/U+aDHoq9u4GOYbFRl3GUybcZr7mBRYDlkzWrjY3vCbtHB1nHvxhFnHhdv1zq31x4bPFO9Bn2ENqVufuxrRGn2Fw7YF0QXnBnyJcwv/F6kQVRjDFtsCvV5vFlCYxJ7clOqedrLjIwsnq2ns823j+0Izp3dlZaPFuzcTV90qMR+z+re82URFTKV76pb9qccNK/jOfTx8LUjh48VnCg+WX6qvuXsmf5z4xe+t3Nf1Ozc1LXjSnPvk37GAfMbO2+O3FYaPnhfYKRpzPEJOt43Uf1K663q+1uflr/0ftVbyPxetlS4HPlT73f+8YAedpyEwQagDztM/iAFFIOjoAs8BLMIEyKLWCJByA54v19FXqF4VBq1RmPQCrQbZpwdM8Aisf3YLWwVp4ILwdXhHuE58BvxJfj7BG7CJkID4RNRC3ZVHpAkSMmkIToxujS6EbIyeR95kZ5CP8Sgw9DMKMF4iEmE6SizIvNlFnuWSdZ0tnVsfeyhHCwc7ZwULnquNu4AHg6eAd4MPg2+Bf4OgSxBS9gjeCN0WbhCJF7UTUxXXEKCW5JJiiRNkCHIkuVY1vPKS2xQUTBT9FDaodyjiqlZq1doTGuZaNfrEvXi9CcNvY0emNib3jA3sei20rZut9W063QwdXzmlO0i43rfPcNT0uu2D3Uzx5bzFGe/+YCDQXYhuNC+8MLITdGasbxxaPxM4svk/FTltImMvVl221iyn+acyy3btS0/qTCxaEsJfk/TXo8yUvnlypRqvf3kAy9qew+dOnz4SP2xnSdkGm82RTWztbSd2XQOd76p1bUddJy85HmZruvSleheib7+fr9rP69XDirdHLjlefvtcPzd5ftZD36Opj/89ij68eunPuN3n5tNNL1EJ61fFU8Nv6F/azod967ufc+HZx+/fFqdATM/v3ycfTZ36WvFfNiC8sLSt/Pfgxf5FnuWtiyt/KhZFltuWlFbufxT+eeRVZ7VQlr+44JUlGlPD4AwGMP247PV1TlJAIilAKzsWV39Ub+6unIYFhtPAbgS8ev/HJoy7X+i/bM0NCg7spX2/e/j/wBUu75v4GLYuQAAAZ1pVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6ZXhpZj0iaHR0cDovL25zLmFkb2JlLmNvbS9leGlmLzEuMC8iPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+ODEzPC9leGlmOlBpeGVsWERpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjQxMDwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgIDwvcmRmOkRlc2NyaXB0aW9uPgogICA8L3JkZjpSREY+CjwveDp4bXBtZXRhPgrA3r2jAABAAElEQVR4Aey9D1Bb15n/fXgHbEgrWvCKpHI94J/tLM5b5B2cDDQuuMJu1ryZWEyWbLIGd6HdIDbJ8Kfb2MHzmncjb0NE+ouNJ7+sIG8LEzCNY7e16HYhWyMS7CYweSFBpIGNYY3qinVgjWrdJpKD9qf3XAmBsCSjK+6VdK++d8bWveee85zn+ZwrnkfnnHtOgsvlIjhAAARAAARAAARAAAQiTuD/iHiNqBAEQAAEQAAEQAAEQIAlgDgMzwEIgAAIgAAIgAAIRIcA4rDocEetIAACIAACIAACIIA4DM8ACIAACIAACIAACESHAOKw6HBHrSAAAiAAAiAAAiCAOAzPAAiAAAiAAAiAAAhEhwDisOhwR60gAAIgAAIgAAIggDgMzwAIgAAIgAAIgAAIRIcA4rDocEetIAACIAACIAACIIA4DM8ACIAACIAACIAACESHAOKw6HBHrSAAAiAAAiAAAiCAOAzPAAiAAAiAAAiAAAhEhwDisOhwR60gAAIgAAIgAAIggDgMzwAIgAAIgAAIgAAIRIcA4rDocEetIAACIAACIAACIIA4DM8ACIAACIAACIAACESHAOKw6HBHrSAAAiAAAiAAAiCAOAzPAAiAAAiAAAiAAAhEhwDisOhwR60gAAIgAAIgAAIggDgMzwAIgAAIgAAIgAAIRIcA4rDocEetIAACIAACIAACIIA4DM8ACIAACIAACIAACESHAOKw6HBHrSAAAiAAAiAAAiCQGEUEViuTliaLogKoGgRAAARAIGoEnNbx9z6YJ1+Sy7fsyFYkR00PVAwC0SQQjf4wp3W0p0NTlJD+7XZrNG1H3SAAAiAAAtEhwEz2FCWll/de+X1vg3Ln5ic6xqOjB2oFgWgTiEJ/GDPx5m51NWu4emMUqo82cdQPAiAAAnFOwGHu+dZONWnoHXvhACGPzA0V/zH9rjhnAvPjlkCCy+WKgvGO0cMpu7vUetsFDQYmo8AfVYIACIBA1AhYW4vSqwfKh2ydeXAAUWsFVBwrBKIxLhkrtkMPEAABEACBiBOY/+DVAUKqHttNgzBnxGtHhSAQYwQQh8VYg0AdEAABEJA0AebaRyZqYJv6oaKioocSEhIOnx+fl7TFMA4E7kQAcdid6OAeCIAACIAAvwRm3n/fI/BI178ZjXZDnekxZUb3pIPfWiANBMRCAHGYWFoKeoIACICAdAio9aYDCvqmVvJBbZuakLIf/QKBmHRaF5ZwIYA4jAst5AUBEAABEFgfgUXCUAFFD3zdK+YLGz2zMHbvNT5BIK4IIA6LreZ2WM193R2XzPhlGFvtAm1AAAT4IrDpa1upqJt/RNwVmCi8QGAu0k2NVhyW5Ea6UbpguVrmMI/2ndCUpKRnFZdVvncDf6G4AkR+EAABcRDYfL+KKjrw/11bUjfpS6n0bLMsRRzqC6clvIBwbGNacnQWUmU+tVgoFkP/h7NPFGA3C0KY0dNZu48uPynY32MZBU5AAAQkRiBR8dC5KvLY0QZjpbFITi6d/qGBEH39I3H+dw9eQGLPeejmRKE/bLzjcGpWMV0+hpCuws0prePsXIE4P2TKv59bsE0YGuKcA8wHARCIAwLJpf/Loq8a2JeRUFKUUHh0oKV3SpMb7yu6wgvEwZMf2MQo9IflVHS6KjoDqxO3qYkyeRqRbc2MWwAwHARAII4IJCo0ra5D/zRPf4V3psllUXBEsQcbXiD22iQyGuHxjwznkGpZDCkXMoEACICAFAjI5PJ47wTza0Z4AT8k0k+Iwrik9KHCQhAAARAAARAAARAIgQDisBAgIQsIgAAIgAAIgAAICECA/3FJ5+xo16/eJxv5WJPiFtn5yBN5eKFSgIaHSBAAARAQiAC8gEBgIVaSBPiPwxJTPnu9utr9OiQPxHQPqBGH8cARIkAABEAgUgTgBSJFGvVIgQD/cRhJKzg7qMsoXF4Nq3xk7uV7FtecfUhzJNHVXW9Mvt1cX9ZlWoIbEyvKOJ2MnWHm/jB55Y/Z+wvYLdHCOBxWhqTJYsKeMLRHERAAARAImQC8QEBU8AIBsSDRJcix2NugXGZbd26KYyVz7VVLxVtGFjiW5T/7lEGnWlJHPWLnLH9hZqhdW0Vp6IbWsMVm0nugxYLVnO1EARAAARBYIQAvsMICXmCFBc78CAg0Tz/xgPZsnTcQO/XYo32zTu9VKJ/yitZe7UogF0oRAfNsO3jEeLGXVaf8r+/j3KHFvFmbX9nYRksnezZzElBTiAYBEACBGCEAL7DcEPACyyhwEoCAQHEYIYnZWlO7t0JTcfmr896L0D4Vh457ArnwRgFDqyTkXNPv/JKOlFYV5905DJufvNRjnFwdcso0F1wmfXnIVSEjCIAACEiCALzAUjPCC0jieRbMCMHiMEJkORVDLeolzQdqf9AxzsmKbXsfofkdnzk4lRIms+OD37AdWt/Zs5kQpyfMci59rqrw2r89o97XE/Y+TT79ZTERfa6yDRcgAAIgwJEAvABHYARegCsxCeQXMA6jdPJqXtV5hxe7KsvPT3MJquQ5WkLOfHAtOGXHpdb6Y+eng2cI+Y5z+kSJpm86SATlnHGHYQ0PZiYamyuTEtgjKenZcT9rkjZuIsqvhBNDORnz5KWXjld7NK79YZNx3Mys7lgL2RhkBAEQAIFYISAaL0CIuefE4ea+wG4AXiBWHigJ6iFsHEaI4gc9Bm8kZnrs0dOzHBjK99QR081gL1pauzUphdVX9z9A+6jCORxWc193xyWzO5hK3PxQCSnento6HGD41DE1RHvDlA37FSTxS+zApPrc0Myi62SO3yBlEkmlt31+0ISqGDPRnbWzsNHgzT/QtE+Z1T0R+A+CNxM+QQAEQCD2CYjECxBy9/0P3XW0OLWk1d8NwAvE/nMmXg3D6bvhZG1i5sGzZ6p2lrHjesR09KnW/Rc0uSFKePDZqQmSESizo6c+vaxN2Ws5X8R5GQmHefTt11v1jW1s1KMbURdk0ngqOa+idcj2aX5+hmzCdih71aZnM0P9NGdpbtL5Y7seu1E/56qQ++g0P258598XNmzYQDaQmdGrhIz+oqfny4R88cUXd39jX0F2mk/eoKeyHI3LpQl6GzdAAARAQLQEROIFSLIir3Vh6NP0/AyNzNZ6yNcNwAuI9ukTg+J+b1AKkbDQ7p0nRpGcmeC+9sNqpUba2WnvdYaZ1ckhXdlGdL7NsnqFiBn3S5rqwTlfUTZ3bZ5C6gnfO+7zkeU5cL5yPecqvc2dxzNPf3VdfoKQAAIgAAKSJSAWL+Cy9NIZMUSlG/RpCngBHxg45ZsA4VtgEHkLgz6RmDacAMor2D7hfg1TpVsVLHnvrv25aJtbsE0YGjyR0m2x0dwg+w0k6nZP/MRKs424NVeVq9nxVW2/5Q5VmPQqomzxXyUMcdgdoOEWCIBAXBAQiRdwuSyeac16k9cPwAvExQMaNSOFnh/miXYIXWT/1X53iMMmNFY2D3tvcP1k3niukpbRPV/pOzjIQUqiTJ4my9qaGbCIvOD7bJeYobJ7dGlulvXKZTp+qdL9uPN8u4qqXv8TdoqbY3bSHGzy1sZgY70bk4LdCagLEkEABEBAQgRE4gXotOZyHeutqo93e/7KwwtI6CmMRVMiFYfRR7uowVC3NGV/4Gh+x3iwOOZOmJzmtyrZaV3lxQ+EGYZ5pAeb/E/VLHmK7f+qPvkrz9uQn1w00ssD39xCEnN/rFcTU+NTzec7ajefHFvwiPL7/5bfa46MZc5Cs10e+NDvll/pCCc4HYyVCXpYGb9XQiOsH6oDARCQDgGReAGi2PMw6wYM1T+fZP2U9L1AUB/guRFzjks6XwmPJRHtibOb2P19lo66qUXOlQ/qaJ8U7Z5amnfFuby3wB12ELKNtLgVVBosVD+be2abemlHokXPBDK6ous5b4e1V6L7c4JOJasyrDLLbmLnsi0fviOeq4pG5WLxnE97LOvoe6LWm6KiGSoFARCQJgExeAGXa4HOMaGHsq53UeJegE69WTVn2vfvv/dcbVrvpG5pPst8WRXZkbLknB+P6Nt2e1bJOvVk0yPG40Xelg7lk/n43QGaT3XgL3zfZAmlZOh5ZFu+Qb+AA8Q0c50hirSKC66K5cKJmcfH7NXzdrk88FuQ2RWdPrndxZJzOl2uzmUJsXXi3LJXr8/duHFjYLVu3bLJ7ksNfA+pIAACIBAGATF4ATqTZodKRQYGTGNmOzkgaS9Aku7Zq2/Rb0wN4gbILdutTXADYTzpoReJbBxGF9nP1QzqzhYeZcOpgcZ9px9eqMkNHNMEsoGZu8ompwq6U6Psq54VyW7+0U6/jX5qJMvlfuuG+WUSSUJy3iFNnkh0hZogAALSICACL0CIPMPtB27cpAOTfj/7peQF2NU6NDXwA9H8bkU6DqO2Fhxp157JaqT7NRJSu/s5la01x+8xD4yEuT7iLuV31zk9+t7sZ37JqxM2yLPzsjnMKhv46PrxIsVqGTxf/f73v3c41p6ClZ6e/md/9mc81+0WN913+pW3rqekBJZtt9sfONx4iEOgHFgOUkEABEDAl4BYvAAxvXuNjouE6KF8LQz5/Nq1a/Qv7ZrZv/rVr2ZkBFxNc82ia2RwTPdpm98im4K4AWK3p+xpPF7q3yexhlzcDplAFOIwQjIbegzns9TumKqt9+MXc/JCa+Ik/98lHkPtv95dWLu2zcoh21heyN+oCPTElpSUfPDBB2sqfvTo0RdffHHNbNwzMBeba0+xXZNBD9XXnjiUi59KQfngBgiAQFgExOEFqGlh7I/CCcihQ4cuX768ZpGnn376lVdeWTNbGBkWb37S1HbqjgXHnqgrDd113lEUbgYgEJU4jCSmpm3yKKPWPxliEEbzL5Ig71jK/sbUr7j6pw0BDFxJ+oJ8eUuwiH8l18qZbeVUqLOf/exnn3/++ZrS77777jXzhJVBpjFiFf+wyKEQCIDA+giIwgtQE4O/XL8++72lf/rTn/7pT3/yXgX9lMs5DOYElRLohiy3xuWqCXQHaREiEJU4bLb5rwrdvTBVpk5NaF1hbhwpm+5TEkOgoUl5TlFpDs/I8u9dihV5lusj7s///M99rnAKAiAAAnFCQBxegCh338Pl13sYjbdjx44wSqGIlAhEbv0wLzVn37Fi9zR9usFRS6gzwzyFE9Pv3cqe2RxC/kRZXPT0ut2Tke7VGZ8gAAIgAAJ8EYh5L0C7wW65/cCmjPSodFbwRRpyxEAg0nHYdM+zxU1sj1bdualD2VxfPExJ36qkZQf6PgwyQBkqcp8h/9u/ZMzMhwZWjDIr6LzFUGtBPhAAARAAgdsIxL4XIIQxGVk/oNyVKXB32G1scBmPBCIahzkmu7er2fmAyobel0q3ceedqPpePVtqYHRm7bcMg4h3MubJSy8d96xhRmp/2GQcNzM+ywVbxkfZkur6hzJvD9GCSEQyCIAACIBASARE4QWI0/Ke++d4/ff2wA2E1K7ItB4CfC0Iu7Yc28jSyvJK7Z32yl5D0NIyx7qlFe7XyO1/e3klfV9oK/u5uhZa3Mso6wbD3Ebcv0akgAAIgAAIsATE4QVcC0MtrINQ6uAG8NxGgEACrcM3IhHs3Npakl7N/sJQ989dKFrHmx/MaGsqXZFfrbdd0IS8BkWoZllHT6fvrmW/fmNH1qFjqNUt57NOD1/63bX/nBy93NfElIxcqMldvoUTEAABEJAEAXF4AUKW9KS/xo8URM4PwAtI4iEPy4gIxHq0ikEdu2sqPVqGuP7AWLSv2q+RClvs17J9VmF3iQU32aJlp58pDTO3Vxm8CD93bFO9de5+OFp9nWGGH6GQAgIgAAIxQ0AkXsBl6deybqCB7iwZ0QNeIKK4Y6kyEgFlPI81fbLV+hGu1S1aaB9ald+O4At0Q22azu/mo0MtbLDIPVLkalOQ/DPnaO1sFMjuL44DBEAABKRDQCxegA5Jsm5ArefaYcBPU8EL8MNRZFIEn4PoNPcU72tkA4zy9k4N5+E26+QYIZ/epLs+rBqDTKvotNgsm5Upm0wL2py09VvhHO54Or/WoOu31ORFriOaxeI9pt//rfu09H7F+s3xCsUnCIAACESbgEi8AHHODz+dkW9Qtcyc10TFDcALRPtRjU79Ar8v6Zh8dmn/orqJ1ypWhVKh2Tt+sZGoincEKKmoMS6ca/j4p/1ToUm6Yy7n1Buvf26YsB0ReEPJ4Eo4hg2eN0n3CLulZXANcAcEQAAE+CcgFi9AiPmdNz7VGmzGmii9Kw8vwP/TJwqJgna9MN1P7nRvW6U8N9XEebEwlp/5YhMh3olTfkDTSl+4UOqXGk5CYvZJY2c4Bfkq47jyThcrq3R/Nl8iIQcEQAAEok1APF6AkG2lJy9EkRe8QBThR7VqAfvDRlufKnPHFg2GntJtXJdsZakw4300DCOpUSUUkcodMyNtbEWqbz+gmDc2F+0qoluAlxQVJSQktI6vc83aiBiASkAABEDAjwC8gB+SoAnwAkHRSP2GUHHY/PDp3dVsFKbS9r9wMDMsjPPtntVWbWGVFlWhK0P9rL6qA9kyIi868nwpMdAjVTU4YfnbnQEGZUVlHJQFARCIRwLwApxaHV6AEy4pZRZmXHLe+Hh+LYtJ1XL2eFFYvJjz9ftr2fXG6HHLZ7l7T4rE/mdGLrhj1gN76eTQyZ5jhY0D5frB1zQF4fQiSowNzAEBEBAjAXgBbq0GL8CNl5RyCxGHmU/s3zfAQlIa2ivTHA46ruazn+Pa9BjLmP4f8huXgjCizL9X4j1CzJULbmO/W7xltEOzu7JN1z9zpCi8TsS18SIHCIAACAhMAF6AI2B4AY7ApJSd9zjM0VN/sJHdyJseJnUWD3O7tmZm8K6lR78Y+Z+5ctkTc1Yqiym0hsGFIwVpMaIb1AABEAABjgTgBTgCo5Oh4QU4M5NOAZ7nh41316pPLUVhvEG6xZuk2BT08WWjVzE3us/iYEKc12B8ggAISIwAvEAYDQovEAY0yRThtafJOf0zXRtRKtnNgfg6TCbZRr5kxaac+WH3qKS6Qf/gteqjXaSp2fDsgRp0iMVma0ErEACBOxGAF7gTnWD34AWCkYmL9Ijt8x0XNMMx0nqpKL2QTqfTT7g0pCNhZyUVcmbCfoiut+ZkGGeKLJnXWDkcFVEGBEAABEBAMALwAoKhFYVgnsclRWFzTCk5/9F77ncayh/MIiT7YZ170dqyH73hIKTn6dTUNr4HeWPKeCgDAiAAAnFPAF4gzh8BoeIwp4Oxzs+ODxuN4/NhI7Zapb+E6fjbfSyf8uId7BoV8srntexlV2XergR1m3qkMpe9xAECIAACYiMALxBii8ELhAhKqtmEicMcky8/eTg9Y7Myf98/vXudMzundbSnQ1OUkP7tdivnwuIqwPz+E7Y7rKo417NUmLyg7kwVa4LJRPRDr+VKfMUOcTUWtAUBEAiZALxAqKjgBUIlJdV8As4P6zu2q7jJtDTViQs/Zrw1VVnNllDrbRc08ReKOGbNFpKaqUjDzDAuzw3yggAIxBgBeIFwGwReIFxyIiwnTH8YBeGc/GUTndtUl7vd09HDgY0sR+Oyj5RzKCGxrMmKzG0IwiTWqDAHBOKOALxA+E0OLxA+O9GVFCoOc5o/YjeurlJtTyROp2dfoqUP0TGCwiAAAiAAAlwJwAtwJYb88UlAqJEv8/BvKNC6h+9PnDceztjX5aZbdWai9VA2IY7ZaYs9MdGvbhqopWZmyv3S47NpYDUIgAAIiJgAvICIGw+qR5CAQDGPY7iXdocp//KbCpI4Tc1Ra8+1PFOS6ZnwxIxt3p4fzMYWk60mJ/6mhAXDgXQQAAEQECUBeAFRNhuUjjwBYeIwx5XeLkJUpV/6j+5d+WX1I3MVufIV22S75iyWRbr1N/vvtmMxJR1B2G1McAkCIAACYiMALyC2FoO+0SIgSBzGXHmXhmFkoLEwn6jap1YFYayhyXKFIloGo14QAAEQAAGhCcALCE0Y8iVDQJA47Mq7vRSQqrz8RlfXwMnu2Yrjq8Iux/TphuarKZtSbqdot9u3arQ12egRu50MrkEABEBATATgBcTUWtA1qgSEiMOs75810DCs6bXOux5glLWNr/R9/4UDitnJyZTsbPf21Ys3r376X7LP/Q1nLFdHZyqz2flhniFLiW/x7U8AKSAAAiAgfgLwAuJvQ1gQKQICrOPq2bJUpZszHpEzoyWpuw2k/Ezvt8qKJ2dcJzNDM4wx96mzigdI+aDltQIF5xXIQqsEuUAABEAABAQgAC8gAFSIlCoB/tcPY/7wMd2pR12yl52ZL8tt6dXS7RLLiqvPTGhDDMLGOw6nskEYPboKN6e0jkt/l0mpPl6wCwRAIA4JwAvEYaPD5LAJCNAf5qeLwzpvT5GnoVfLjwwSQAAEQCAeCMALxEMrw8bwCEQiDgtPM5QCARAAARAAARAAAWkT4H9cUtq8YB0IgAAIgAAIgAAI8EUAcRhfJCEHBEAABEAABEAABLgRQBzGjRdygwAIgAAIgAAIgABfBIRYP2xt3Zh588y1G+Qr9+zYhkUp1saFHCAAAiAgHQLO6daXh/dXFqcS57JRsjR5cnTc0bIKOAGB6BCIfH8Y03OiKDXj4M8u/vr49s0pCYf7zI7omI5aQQAEQAAEIk7Aafld9dGy7RnpGT6HdnA24oqgQhCICQKR/gFi7vmhunHziM2YS9fMP/LdE7uyirP+bGbxZGakFYkJ+lACBEAABOKNgN32n9Tkcm1L8bY/I2QDYUbLqj8ufXDV7nfxxgT2xjOBSK9bMXp61+6bba7jeR7o462HldVdepNNw+5lhAMEQAAEQEDiBKgXqCTtYzW5Hjtne+o3D/yl6+QBiZsN80AgCIHIj0tuIo0/HZ5fmhawSNi18m99vjJLIIieSAYBEAABEJACAWXV5WFvEEack0fVp/SaPVIwDDaAQFgEIh2H3ffwkXJl2xu/mXJra73s3hH8G/8DnWFhtR4KgQAIgIDYCCQmy5Z3Vxnveq6LaB/NhgsQWytCX/4IRHpc0ldzZrw1VVlNlNqZseMhbj3pWxznIAACIAACIibAjJak7padmeg8lC1iK6A6CKyPQBSnx8//c201Vb6l/RkEYetrRJQGARAAAfERGG7/oYGoBosRhImv7aAxjwSiFYc5jScePzpA1C2DNblpPNoDUSAAAiAAAiIgYL3UUDtAqs59Ex5ABK0FFQUkEOn5YR5Txruf3tc4oNL1n68poClOTNP3NrHDau7r7riENdW8QPAJAiAgSQLGl/6fAToe8r190eoMiFmq8AIx2zQCKRaFOGy8u15Z1lZ3ZsR4pIh+Ayc7Du9+eVgg88Qj1mEe7TuhKUlJzyouq3zvhl08mkNTEAABEOBGwGnuqW+iYVjDw3noDVtGBy+wjCK+TiL9U2S0Q7O7so0y/vyjTo2m9fPPr3R1DWgHX44v6n7WMqOns3YfXU5efploOQUnIAACICAZAhN950yEzksp3SYZk9ZtCLzAuhGKVUCE+8Osl19ngzClkrQ1nWpra6NBGP0yfjtbLlZ+POktU/793IJtwtDAkzyIAQEQAIHYJZDErlOhrPmbpaVcY1fRCGoGLxBB2LFVVYT7w9JqjK6a2CIQG9okyuRpRLYVb47GRnNACxAAASEJZD/66txCEv2jh2OFALzACov4OotwHBZfcLlau8i1APKDAAiAgBgJJMvkmH4RqOHgBQJRkXhahMclJU4T5oEACIAACIAACIBA6AQQh4XOCjlBAARAAARAAARAgE8C/I9LOmdHu371Ptm4kQc1b5GdjzyRp0D/NQ8sIQIEQAAEIkMAXiAynFGLNAjwH4clpnz2enU1fQ2Sl0P3gBpxGC8kIQQEQAAEIkMAXiAynFGLNAjwH4eRtIKzg7qMwuXVsMpH5l6+Z3HN2Yc0R1ISITcm326uL+uia8u4j5joCnM6GTvDzP1h8sofs/cXKMJj5rAyJE0WE/ZI49GFFSAAArFKAF4gYMvACwTEgkSXIMdib4NymW3duSmOlcy1Vy0VbxlZ4FiW/+xTBp1qSR31iJ2z/IWZoXZtFaWhG1rDFptJ74EWC1ZzthMFQAAEQGCFALzACgt4gRUWOPMjINA8/cQD2rN13kDs1GOP9s1y2kJSXtHaq10J5LyCovS57eAR48VeVp3yv76Pc4cW82ZtfmUju3ptMu3uwwECIAACcUEAXmC5meEFllHgJAABgeIwQhKztaZ2b4Wm4vJX570XoX0qDh33BHLhjQKGVknIuabf+SUdKa0qzrtzGDY/eanHOLk65JRpLrhM+vKQq0JGEAABEJAEAXiBpWaEF5DE8yyYEYLFYYTIciqGWtRLmg/U/qBjnJMV2/Y+QvM7PnNwKiVMZscHv2E7tL6zZzMhTk+Y5Vz6XFXhtX97Rr2vh1mVxuHCp78sJqJPDqojKwiAAAj4EYAX8EOyRgK8wBqApHhbwDiM4sqreVXnHV7sqiw/P80lqJLnaAk588G14Ngdl1rrj52fDp4h5DvO6RMlmr7pIBGUc8YdhjU8mJlobK5MSmCPpKRnx/2sSdq4iSi/Ek4M5WTMk5deOl7t0bj2h03GcTOzumMtZGOQEQRAAARihYBovAAh5p4Th5v7ArsBeIFYeaAkqIewcRghih/0GLyRmOmxR0/PcmAo31NHTDeDvWhp7dakFFZf3f8A7aMK53BYzX3dHZfM7mAqcfNDJaR4e2rrcIDhU8fUEO0NUzbsV5DEL7EDk+pzQzOLrpM5foOUSSSV3vb5QROqYsxEd9bOwkaDN/9A0z5lVvdE4D8I3kz4BAEQAIHYJyASL0DI3fc/dNfR4tSSVn83AC8Q+8+ZeDUMp++Gk7WJmQfPnqnaWcaO6xHT0ada91/Q5IYo4cFnpyZIRqDMjp769LI2Za/lfBHnZSQc5tG3X2/VN7axUY9uRF2QSeOp5LyK1iHbp/n5GbIJ26FsmW+lM0P99LI0N+n8sV2P3aifc1XIfW7Pjxvf+feFDRs2kA1kZvQqIaO/6On5MiFffPHF3d/YV5Ad0k62shyNy6XxkYpTEAABEJAIAZF4AZKsyGtdGPo0PT9DI7O1HvJ1A/ACEnkWY9MMvzcohUhYaPfOE6MQzkxwX/thtVIj7ey09zrDzOrkkK5sIzrfhli9QsSM+yVN9eCcryibuzZPIfWE7x33+cjyHDhfuZ5zld7mzuOZp7+6Lj9BSAABEAAByRIQixdwWXrpjBii0g36NAW8gA8MnPJNgPAtMIi8hUGfSEwbTgDlFWyfcL+GqdKtCpa8d9f+XLTNLdgmDA2eSOm22GhukP0GEnW7J35ipdlG3JqrytXs+Kq233KHKkx6FVG2+K8ShjjsDtBwCwRAIC4IiMQLuFwWz7RmvcnrB+AF4uIBjZqRQs8P80Q7hC6y/2q/O8RhExorm4e9N7h+Mm88V0nL6J6v9B0c5CAlUSZPk2VtzQxYRF7wfbZLzFDZPbo0N8t65TIdv1Tpftx5vl1FVa//CTvFzTE7aQ42eWtjsLHejUnB7gTUBYkgAAIgICECIvECdFpzuY71VtXHuz1/5eEFJPQUxqIpkYrD6KNd1GCoW5qyP3A0v2M8WBxzJ0xO81uV7LSu8uIHwgzDPNKDTf6napY8xfZ/VZ/8ledtyE8uGunlgW9uIYm5P9arianxqebzHbWbT44teET5/X/L7zVHxjJnodkuD3zod8uvdIQTnA7GygQ9rIzfK6ER1g/VgQAISIeASLwAUex5mHUDhuqfT7J+SvpeIKgP8NyIOcclna+Ex5KI9sTZTez+PktH3dQi58oHdbRPinZPLc274lzeW+AOOwjZRlrcCioNFqqfzT2zTb20I9GiZwIZXdH1nLfD2ivR/TlBp5JVGVaZZTexc9mWD98Rz1VFo3KxeM6nPZZ19D1R601R0QyVggAISJOAGLyAy7VA55jQQ1nXuyhxL0Cn3qyaM+379997rjatd1K3NJ9lvqyK7EhZcs6PR/Rtuz2rZJ16sukR4/Eib0uH8sl8/O4Azac68Be+b7KEUjL0PLIt36BfwAFimrnOEEVaxQVXxXLhxMzjY/bqebtcHvgtyOyKTp/c7mLJOZ0uV+eyhNg6cW7Zq9fnbty4MbBat27ZZPelBr6HVBAAARAIg4AYvACdSbNDpSIDA6Yxs50ckLQXIEn37NW36DemBnED5Jbt1ia4gTCe9NCLRDYOo4vs52oGdWcLj7Lh1EDjvtMPL9TkBo5pAtnAzF1lk1MF3alR9lXPimQ3/2in30Y/NZLlcr91w/wyiSQhOe+QJk8kukJNEAABaRAQgRcgRJ7h9gM3btKBSb+f/VLyAuxqHZoa+IFofrciHYdRWwuOtGvPZDXS/RoJqd39nMrWmuP3mAdGwlwfcZfyu+ucHn1v9jO/5NUJG+TZedkcZpUNfHT9eJFitQyer373u9999tlaetM5awrF17/+dZ7rdoub7jv9ylvXU1ICy7bb7Q8cbjzEIVAOLAepIAACIOBLQCxegJjevUbHRUL0UL4Whnw+MTFBJ2Gtmf3uu+/OzAz8etmaZe+cwTHdp21+i2wK4gaI3Z6yp/F4qX+fxJ3F4m7oBKIQhxGS2dBjOJ+ldsdUbb0fv5iTF1oTJ/n/LvFYav/17sLatY1WDtnG8kL+RkWgJ/bw4cMffPDBmoofPXr0xRdfXDMb9wzMxebaU2zXZNBD9bUnDuXip1JQPrgBAiAQFgFxeAFqWhj7o3ACUlVVdfny5TWLPP3006+88sqa2cLIsHjzk6a2U3csOPZEXWnorvOOonAzAIGoxGEkMTVtk0cZtf7JEIMwmn+RBPnVIPsbU7/i6p82BDBwJekL8uUtwSL+lVwrZ7aVU6HO/uVf/uXWrVtrSv/qV7+6Zp6wMsg0RqziHxY5FAIBEFgfAVF4AWpi8Jfr12e/t/Sbb77pcKz9YnpqqlA9A7LcGperxqsOPqNAICpx2GzzXxW6e2GqTJ2a0LrC3GhSNt2nJIZAQ5PynKLSHJ7x5d+7FCvyLNdHHB1w9LnCKQiAAAjECQFxeAGi3H0Pl1/vYTTe1772tTBKoYiUCERu/TAvNWffsWL3NH26wVFLqDPDPIUT0+/dyp7ZHEL+RFlc9PS63ZOR7tUZnyAAAiAAAnwRiHkvQLvBbrn9wKaM9Kh0VvBFGnLEQCDScdh0z7PFTWyPVt25qUPZXF88TEnfqqRlB/o+DDJAGSpynyH/279kzMyHBlaMMivovMVQa0E+EAABEACB2wjEvhcghDEZWT+g3JUpcHfYbWxwGY8EIhqHOSa7t6vZ+YDKht6XSrdx552o+l49W2pgdGbt8fQg4p2MefLSS8c9a5iR2h82GcfNjHMls2V8lL1Q1z+UeXuItpIJZyAAAiAAAtwJiMILEKflPffP8frv7YEb4N7IKMGRAF8Lwq4txzZS7tFNqb3TXtlrCFpa5li3tML9Grn9by+vpO/LaWU/V9dCi3sZZd1gmNuI+9eIFBAAARAAAZaAOLyAa2GohXUQSh3cAJ7bCBBIoHX4RiSCnVtbS9Kr2V8Y6v65C0UclvG6XSNmtDWVrsiv1tsuaEJeg+J2IcGuraOn03fXsl+/sSPr0DGY+KDp1unhS7+79p+To5f7mpiSkQs1uUGz4gYIgAAIiJKAOLwAIUt60l/jRwoi5wfgBUT5UPOidARiPVrFoI7dNZUeLUNcf2As2lft10iFLfZr2T6rsLvEgpts0bLTz5SGmdurDF6Enzu2qd46dz8crb7OMMOPUEgBARAAgZghIBIv4LL0a1k30EB3lozoAS8QUdyxVBmJgDKex5o+2Wr9CNfqFi20D63Kb0fwBbqhNk3nd/PRoRY2WOQeKXK1KUj+mXO0djYKZPcXxwECIAAC0iEgFi9AhyRZN6DWc+0w4Kep4AX44SgyKYLPQXSae4r3NbIBRnl7p4bzcJt1coyQT2/SnR5XjUGmVXRabJbNypRNpgVtTtr6rXAOdzydX2vQ9Vtq8iLXEc1i8R7T7//WfVp6v2L95niF4hMEQAAEok1AJF6AOOeHn87IN6haZs5rouIG4AWi/ahGp36B35d0TD67tH9R3cRrFatCqdDsHb/YSFTFOwKUVNQYF841fPzT/qnQJN0xl3Pqjdc/N0zYjgi8oWRwJRzDBs+bpHuwtGtwSrgDAiAgNgJi8QKEmN9541OtwWasidK78vACYnu2edJX0K4XpvvJne5tq5Tnppo4LxbGWmi+2ESId+KUn8lppS9cKPVLDSchMfuksTOcgnyVcVx5p4uVVbo/my+RkAMCIAAC0SYgHi9AyLbSkxeiyAteIIrwo1q1gP1ho61PlbljiwZDT+k2rku2slSY8T4ahpHUqBKKSOWOmZE2tiLVtx9QzBubi3YVldCjqCghIaF1fJ1r1kbEAFQCAiAAAn4E4AX8kARNgBcIikbqN4SKw+aHT++uZqMwlbb/hYOZYWGcb/estmoLq7SoCl0Z6mf1VR3IlhF50ZHnS4mBHqmqwQnL3+4MMCgrKuOgLAiAQDwSgBfg1OrwApxwSSmzMOOS88bH82tZTKqWs8eLwuLFnK/fX8uuN0aPWz7L3XtSJPY/M3LBHbMe2Esnh072HCtsHCjXD76mKQinF1FibGAOCICAGAnAC3BrNXgBbryklFuIOMx8Yv++ARaS0tBemeZw0HE1n/0c16bHWMb0/5DfuBSEEWX+vRLvEWKuXHAb+93iLaMdmt2Vbbr+mSNF4XUiro0XOUAABEBAYALwAhwBwwtwBCal7LzHYY6e+oON7Ebe9DCps3iY27U1M4N3LT36xcj/zJXLnpizUllMoTUMLhwpSIsR3aAGCIAACHAkAC/AERidDA0vwJmZdArwPD9svLtWfWopCuMN0i3eJMWmoI8vG72KudF9FgcT4rwG4xMEQEBiBOAFwmhQeIEwoEmmCK89Tc7pn+naiFLJbg7E12EyyTbyJSs25cwPu0cl1Q36B69VH+0iTc2GZw/UoEMsNlsLWoEACNyJALzAnegEuwcvEIxMXKRHbJ/vuKAZjpHWS0XphXQ6nX7CpSEdCTsrqZAzE/ZDdL01J8M4U2TJvMbK4aiIMiAAAiAAAoIRgBcQDK0oBPM8LikKm2NKyfmP3nO/01D+YBYh2Q/r3IvWlv3oDQchPU+nprbxPcgbU8ZDGRAAARCIewLwAnH+CAgVhzkdjHV+dnzYaByfDxux1Sr9JUzH3+5j+ZQX72DXqJBXPq9lL7sq83YlqNvUI5W57CUOEAABEBAbAXiBEFsMXiBEUFLNJkwc5ph8+cnD6Rmblfn7/und65zZOa2jPR2aooT0b7dbORcWVwHm95+w3WFVxbmepcLkBXVnqlgTTCaiH3otV+IrdoirsaAtCIBAyATgBUJFBS8QKimp5hNwfljfsV3FTaalqU5c+DHjranKaraEWm+7oIm/UMQxa7aQ1ExFGmaGcXlukBcEQCDGCMALhNsg8ALhkhNhOWH6wygI5+Qvm+jcprrc7Z6OHg5sZDkal32knEMJiWVNVmRuQxAmsUaFOSAQdwTgBcJvcniB8NmJrqRQcZjT/BG7cXWVansicTo9+xItfYiOERQGARAAARDgSgBegCsx5I9PAkKNfJmHf0OB1j18f+K88XDGvi433aozE62HsglxzE5b7ImJfnXTQC01M1Pulx6fTQOrQQAEQEDEBOAFRNx4UD2CBASKeRzDvbQ7TPmX31SQxGlqjlp7ruWZkkzPhCdmbPP2/GA2tphsNTnxNyUsGA6kgwAIgIAoCcALiLLZoHTkCQgThzmu9HYRoir90n9078ovqx+Zq8iVr9gm2zVnsSzSrb/Zf7cdiynpCMJuY4JLEAABEBAbAXgBsbUY9I0WAUHiMObKuzQMIwONhflE1T61KghjDU2WKxTRMhj1ggAIgAAICE0AXkBowpAvGQKCxGFX3u2lgFTl5Te6ugZOds9WHF8VdjmmTzc0X03ZlHI7RbvdvlWjrclGj9jtZHANAiAAAmIiAC8gptaCrlElIEQcZn3/rIGGYU2vdd71AKOsbXyl7/svHFDMTk6mZGe7t69evHn10/+Sfe5vOGO5OjpTmc3OD/MMWUp8i29/AkgBARAAAfETgBcQfxvCgkgREGAdV8+WpSrdnPGInBktSd1tIOVner9VVjw54zqZGZphjLlPnVU8QMoHLa8VKDivQBZaJcgFAiAAAiAgAAF4AQGgQqRUCfC/fhjzh4/pTj3qkr3szHxZbkuvlm6XWFZcfWZCG2IQNt5xOJUNwujRVbg5pXVc+rtMSvXxgl0gAAJxSABeIA4bHSaHTUCA/jA/XRzWeXuKPA29Wn5kkAACIAAC8UAAXiAeWhk2hkcgEnFYeJqhFAiAAAiAAAiAAAhImwD/45LS5gXrQAAEQAAEQAAEQIAvAojD+CIJOSAAAiAAAiAAAiDAjYAQ61asrQEzO33l+s27Nm3JzvRZZ3/tcsgBAiAAAiAgBQIO6+zMH64vJn3l61nbMHtYCi0KG8IlEPn+MGt3/a7U4ub3TRcfz8pIKDkxibchw208lAMBEAABERJg+poPp6Rv/tGFiz97bnt6SsKJnnERWgGVQYAfApGep8+Mnk7d/ZPBhbECuqLrbM+uzWpT1bnF1tLo9MvxwxBSQAAEQAAEQiUw2X14Z1lXu8lWwS7ZTS6dLimsNehNNo37MlQpyAcCUiEQ6f6wpLtSCTF1XTKzABUFT6kIafut2SkVnLADBEAABEDgTgSYd/7fLkKqCnYubWD3F98qotnPDly5UyHcAwHpEoh0HJacXbEwM3Xkm+lupM6b9EP5tVT0hkn3CYNlIAACILCKAP0xTtqGJ5ampHj2sNuc6vlclREXIBAPBCIdh1GmaZnbtsnZX0KzxvajA0RVej/m6sfDowYbQQAEQIDusvJgsZpyKFOmHmvtmzaPt538Cf05rlbtABwQiE8CkZ4fxlJ2mpsfyqIRmPtQzbiMIe535CmA/0EABEAABMRMYP5YQkaTrwF1g66TBb4JOAeB+CEQhf4wYr/xn6kNg1OWkXNaQgayNN3W+OENS0EABEAgvgmYje1sEFauPXeuvYpOEabHqcLmS/PuM/wHAnFHIBr9YSuQHR0lKZUGcm5msTQTc8RWuOAMBEAABCRKwHwsIauJNMy4XvCMhIx3H1OWNZHyM/bOQ9iFWKKNDrPuRCDS/WHj3SdO9Ex7NUrOLymn57M3sIbYEhKH1dzX3XHJ7PAiwicIgAAISIgAc+Njao36Xs+7WvQ056+/y7oBC2OXkJXrMQVeYD30xFg2snGYc/qVssbzM+xbku7D+dF79AVmeqAzzGEe7TuhKUlJzyouq3zvBv4iuZ8L/AcCICAxAp7XIq/OrfzWtM6Y3DbGvRuAF5DYsx6qOZGNwxLT/08lMdW2Ds+yK4bNj755oo2+KKMrzV1aSCZUrSWXjy5vm7W7uLHN4LEMnfOSa2EYBAIg4CaQnPsPOhUxHX2h27OG/nz3C0dpHKZ7/tE4dwPwAnH7DYlsHEbSKn/RX6Vsy9+clLArIWN32aY6/dTlI4q4xe81XKb8+7kF24ShwZuATxAAARCQJoGCI4Z+fd2pMmUCdQMJGWWntrYPzhwpiPf1i+AFpPm4h2BVpHuCZduKWsdcP7ZaHU5noiwtLTnSCoTAJBpZEmXyNCLbihU8ogEfdYIACESUgKxIc9L1fe281UESk9PSZHADLH54gYg+hDFUWXSefxqAxXkXdMBHYDFgKhJBAARAQHoEaNjhXtBbepatxyJ4gfXQE2nZCI9LipQS1AYBEAABEAABEAAB/gkgDuOfKSSCAAiAAAiAAAiAQCgE+B+XdM6Odv3qfbJxYyjVr5HnFtn5yBN5Crw+uAYn3AYBEACB2CEALxA7bQFNYp8A/3FYYspnr1dXL+0euW4AugfUiMPWTRECQAAEQCByBOAFIscaNYmfAP9xGEkrODuoyyg86oVTPjL38j2La84+pDmS6Ap/Nybfbq4v6/Ks60cIusK8GPEJAiAAAiIhAC8gkoaCmrFAQIA4jBB5wQ96G84UN3mCqa7Od/7xZOm2EK1VKA51jn1nn2Z/ZZs3FguxpHDZnE7GzjBzf5i88sfs/QWK8Jg5rAxJkyGuFK6ZIBkEQCBmCMALBGgKeIEAUJBEBJqnn3hAe7bOi/fUY4/2uRfQ9yas+SmvaO3VKtfMFqEM0//6svpb6Zu3K/cV/8/r7EYA3A6rebjjhCYhJf2fx6zcSiI3CIAACIiVALzASsvBC6ywwJkfAYHiMLokXbbW1O6tzlRc/uq89yK0T8Wh455ALrzep9AqCS3XtoNHjBd72bCw/K/v49yhxbxZm1/ZSPdvIsmejdVCqxS5QAAEQEDcBOAFltoPXkDcD7LQ2gsWhxEiy6kYalEvGTBQ+4MOz25ioVq0be8jNKvjs5XdYEMtKUC+6Xd+SUdJq4rz7hyGzU9e6jFOru4yk2kuuEz68lCU8onToh99hqIw8oAACIDAHQjAC7jhwAvc4RnBLaHGJZfI5tW8qvMOL3ZVlp+f5hJUyXO0hJz54FoMtJLjg9+wHVrf2bOZEKcnzHIufa7S7tq/PaPe18OsSgvtwsmYJy+9dLzak7v2h03GcTOzOqALTRBygQAIgEAMEYAXCLUx4AVCJSW1fAL2h7lRKX7QY/BGYqbHHj09ywGgfE8dMd28w4uWjkut9cfOT3MQGSyrc/pEiaZvOkgE5Zxxh2END2YmGpsrkxLYIynp2XG/qDJp4yai/EoYfVnMRHfWzsJGg1e/gaZ9yqzuiSD6eHPhEwRAAARinoBIvAAh5p4Th5v7Av/ZhReI+edMvAoKHYeRxMyDZ89ULQEyHX2qdTR0WA8+OzXx/fuC5Ld2a1IKq6/uf4D2UYVzOKzmvu6OS2Z3MJW4+aESUrw9tXU4wDQ2x9QQ7Q1TNuxXkMQvsQOT6nNDM4uukzl+g5RJJJXe9hleDFUxWY7G5XdocrAJZ6gAkQ8EQCBmCYjDCxBy9/0P3XW0OLWk1d8NwAvE7NMlAcXC6LvhbHX2oRfb32yrdHf2GKp3d++1H8r2C2ECSU1WbMsOlE6njfXUp5e1KXst54s4LyPhMI++/XqrvrGNVUg3oi7IpMok51W0Dtk+zc/PkE3YDmWvCoBmhvppztLcpPPHdj12o37OVSH30Wp+3PjOvy9s2LCBbCAzo1cJGf1FT8+XCfniiy/u/sa+guw0n7w4BQEQAIF4JCAGL0CSFXmtC0OfpudnaGS21kO+bgBeIB6f2ojZ7NcLI0zCwqB3xj61TDuzvkpG2tlp73WGcMTYRnS+bFtGFnx0mXEvlqEenPNJc9nctXkKqSd877jPR5bfRfCV6zlX6W3uPJ55+qvr8hOEBBAAARCQMAFxeAGXpZfOTCYq3aBPU8AL+MDAKd8ECN8Cg8qz9LMPt+dQ6YaC5lvrhn3CvRyGSrcqWFqr1Mr9Rdvcgm3C0ODR5LbYaG7QraS63RM/saVsI+4IUlWuZue5afstK6L8zkx6FVG2+EZ2niyIw/xQIQEEQCDuCIjCC7hcFs/rZXqT1w/AC8TdoxpRgwWfH7YUeRGiKGow1C1N2R84mt8xHng25HL+ICfMG89V0lu65yt9BweDZA6UnCiTp8mytmYGukd3Avg+2yVmqOweXVLPeuUyHb9U6X7ceb5dRUhj/U/YVw0cs5PmYPpvDDbWuzEp2J2AuiARBEAABCRFQBRegDqrch37g7z6eLfnrzy8gKSewtgzJnJxGF3a9WBTl3fGPqlUNk5zX5fBaX7LPc+svPiBMMMwTxMEfwlTUfIU2/9VffJXnrchP7lopJcHvrmFJOb+WK8mpsanms931G4+ObYQpDVv+ZnFWOYsNPPlgQ/9bgWREbFkp4OxMkEPK+P3SmjENENFIAAC0iMgCi9AFHseZt2Aofrnk2wkJn0vENQHeG7EnOOS2hcjor1v7CiffpmgStvPtfZBHe2Tot1TS/OuuBZfzm8zLalx27gkzWAbaXFrqDRYFulVO/t1VA95xhoXPRPI6Iqu57wd1ssi2ZMJOpWsykCLrRx2U7lb3NJ/viOeK5midbZ4bjku9lXS51ytN0VLOdQLAiAgSQKx7wVcrgU6x4QeyrreRYl7AeryVs2Z9vnzv3yqNtkl+STGilGRHimT5WoGdWcLjw7QFh5o3Hf64YWa3NDfKGQ+fpctqDrwF75vsiw/LLycyLZ8g34BB4hp5jpDFGkVF1wVy3ITM4+P2avn7XJ5YJ2zKzp9cruLJed0ulydyxJi68S5Za9en7tx48bAat26ZZPdlxr4HlJBAARAICwCse8FCEnboVKRgQHTmNlODkjaC5Cke/bqW/QbU4O4AXLLdmsT3EBYT3qohSIdh1G9Co60a89kNdJ9ggip3f2cytYa8jpZzNxVtlSqoDs1yr7qWZHs5h/t9NvI1rfqSJbLQ1p0Y1WhGL1IzjukyYtR3aAWCICAZAnEuhcgRJ7h9gM3btKBSb+f/VLyAuxqHZoa+IFofteiEIcRktnQYzifpXZHYm29H7+Yk+cf7gSCwlwfcZfxu+ecHn1v9jO/5NUJG+TZedkcZpUNfHT9eJFitQyer/7u7/7uk08+WVNoWVmZRqNZM1sYGab7Tr/y1vWUlMBF7Xb7A4cbD3HosAwsB6kgAAIgsJqAOLwAMb17jY6L+AViq21Z19UzzzxjMgV2bL5yH3300bq6Ot8Uvs4d033a5rfIpiBugNjtKXsaj5eG5qT5Uiq+5EQlDiOJqWmbPJzV+idDDMJo/iT/3yUeKfZf7y6sXbvhlEO2sbyQv1ER6Indvn170EFBH3PuuecenyseT5mLzbWn2JHeoIfqa08cysVPpaB8cAMEQCA8AqLwAtS0MPZH4QRk27ZtdJrSmkUUCqE6BRZvftLUduqOCow9UVcauuu8oyjcDEAgKnHYbPNfFbq9f5WpU8Mhyl4knreI/eyQ/Y2pX3H1Txv8bvgmfEG+vCVYxO+bz3tu854I9/ncc88JJzwEyTKN0SVIP1sIdSMLCIBAHBMQhxegDRT85Xp+Wq++vp4fQeFKkeXWuFw14ZZGOR4IRD4Oc/YdK3ZP0ydnJlpCnhnmNjVl031KYgjUgyvPKSrN4QGHr4j8e5f67HwTcQ4CIAACILA+AqLxAkS5+x4uv97XhwWl45RAJNcPYxFP9zxb3MRGUnXnpkLcZXKlZRLT793KXtkcQv5EWVz09Lrdk5G+UjXOQAAEQAAE+CAgAi9Au8Fuuf3Apoz0yHdW8AEZMkREIKJxmGOye7uaHYdWNvS+VLqNO6aU9K1KWmqg78MgA5ShivQZ8r/9S8bMfGhgxSizgs5bDLUW5AMBEAABEPAlIAovQAhjMrJ+QLkrE91hvs2HcyEIRDAOY0af3FnG2qDU9r5w4PbwJyTjElXfcw+lD4zOOEIqECCTkzFPXnrpeLXnVu0Pm4zjZsZnuWDL+Ch7S13/UGZYOgaoEkkgAAIgAAI0vBGHFyBOy3vun+P139sDN4AHV3ACkVpQdoHuCeQ+1P1hbtDt0XRpmWPd0gr3nNVfXknfl+zKfq6uhRb3Msq6wXVpyVWthakhg+GcXtdQriLqlhGuxZEfBEAABGKegFi8gGthqIV1EEpdJN0AvEDMP8BCKUiEErxa7qBuKQprGeL6YC/aV+0T5N0ZSb3erY1WK7h0teDZ1CiyXz9at22qt84d/9Hvfp1hJqBuSAQBEAAB8RIQixdgNzVy+6sI/xqHFxDvs71OzSMRh1n6tZ7OJ7Wec0/PooX2DldNrQrFFvu1bMwSdpdYcGQWLTv9TGmYWVVf8Py83pk556bk2deSV8kQBgIgAAJRJSAeL+DyqEonMUfBDcALRPUpjVblgs8Pc5p7ivc1shFGhZbgogAAN3pJREFUeXunJtcdanD4zzo5RsinN+kOQytHYtHxn9MNtY/mPzce9iyxFWkrZ8Onn6K7LbUMXTwYjZlh0+//1q1K6f0KTEhYaRScgQAIiJ2AiLwAsQ4/RR2WWn8xzEnM62oreIF14RNtYYFdvmPy2aX9i+omXqsIeSn7FZzjFxuJSr/j9pJpFZ0Wm2WzMmWTaUGbk7Z+K5zDHU/n1xp0/ZaaPA57H60out4zx7DB8ybpHqFWTV6vhigPAiAAAtwJiMYLEOf88NMZ+QZVy8x5TTTcALwA96dLEiUE7Q9jup/c6d4uQXluqik7nN2xzRebgmFW1BgXzjV8/NP+qWA5OKQ7p954/XPDhO2IwBtKBlXJceWdLvZm6f7soHlwAwRAAARERkA8XoAQ8ztvfKo12Iw10RgRIQReQGTPNm/qJtABUd6ErRY02np4dzUbXDQYZl44mLn6ZkhXzHhrqrKadhHbLmhu7xELSYBoMjkmO1J2VhKiGrQZs99vfry+L3VrKrHZDAMD9F1ODbdtB0RjNRQFARCQNgF4gdDbF14gdFYSyylUf9j88GlPEKbS9ocXhBEy3+5Z5csmMeYBzLky1M+mqg5ky4i86MjzpcRAj1TV4ITlb3dKOwQNQANJIAACEiAAL8CpEeEFOOGSUub1z6wKRGPe+Hh+LXtD1XL2eFGgHGumMefr99e6V9Ij5JbPMqtrFhRjBmbkAttxqDqwl05KmOw5Vtg4UK4ffE1TEM5YrhgBQGcQAAGJEYAX4Nag8ALceEkptxBxmPnE/n0DLCSlob0yzeGgexD57CO0Nj3GMqb/h/zGpSCMKPPvlXiPEHPlgtvY7xZvGe3Q7K5s0/XPHCkKZyR3bbjIAQIgAAKCE4AX4IgYXoAjMCll5z0Oc/TUH6SrP7gPkzordf2wtmZm8K7l+rXiUQJz5bIn5qxUFhNiahhcOFKQxqN8iAIBEACBCBKAF+AMG16AMzIJFeB5fth4d6361FIUxhulW7xJik1BH182ehVzo/ssDibEeQ3GJwiAgMQIwAuE0aDwAmFAk0wRXnuanNM/07URpZJdlJ6vw2SSbeRLVmzKmR92j0qqG/QPXqs+2kWamg3PHqhBh1hstha0AgEQuBMBeIE70Ql2D14gGJm4SBdw3Yq44Ld+I62XitIL6XQ6/YRLQzoS2NUryJkJ+yG63pqTYZwpsmReY+X1KwwJIAACIAACPBKAF+ARpghF8TwuKUICUVZ5/qP33O80lD+YRUj2wzr3bt9lP3qD7tjU83Rqahvfg7xRNhfVgwAIgAAIrCIAL7AKR/xdIA6LcpuPv93HalBevINdo0Je+byWveyqzNuVoG5Tj1Tmspc4QAAEQAAEJEoAXkCiDRuqWULFYU4HY52fHR82GsfnQ9XFL5/VSpe8kPbB/P4TtjusqjjXs1SYvKDuTBVrsslE9EOv5Up8xQ5pNy6sA4G4JgAvEFrzwwuExkm6uYSZH+aYbH7yuaNd7GoMKr3JqMnhBtBpHf1XQ+upyrYbLQtjcThj3TFrtpDUTAUP+5dzA4/cIAACIMAPAXiBdXGEF1gXPnEVFmYOeHL2kc4Lyi27iptMf7d3B1cizMSbu9XVbCn1RmH046pRhPMnKzK3RbhKVAcCIAACfBKAF1gXTXiBdeETV2GhxiWJc/KXTXSOeV3uds5788hyNC77SLm4QEJbEAABEAABXwLwAr40cA4CQQgIFYc5zR+10SqrVNsTidPp2R9y6SOIJkgGARAAARCQDgF4Aem0JSwRkoBQ437m4d9Qtesevj9x3ng4Y1+X24aqMxOth7IJccxOW+yJiX5100AtNTNT7pcuJADIBgEQAAEQEIAAvIAAUCFSggQEinkcw720O0z5l99UkMRpik2tPdfyTEmmZ+I5M7Z5e34wli0mW00O3hIMhgfpIAACICAKAvAComgmKBl9AsLEYY4rvV30VcnSL/1H9678svqRuYpc+Yqtsl1zFstiEiHsv9uOxZR0BGG3McElCIAACIiNALyA2FoM+kaLgCBxGHPlXRqGkYHGwnyiap9aFYSxhibLFYpoGYx6QQAEQAAEhCYALyA0YciXDAFB4rAr7/ZSQKry8htdXQMnu2crjq8KuxzTpxuar6ZsSrmdot1u36rR1mSjR+x2MrgGARAAATERgBcQU2tB16gSECIOs75/lq7gqmp6rfOuBxhlbeMrfd9/4YBidnIyJTs7jbV28ebVT/9L9rm/4Yzl6uhMZTY7P8wzZLnRPw9SQAAEQAAEYpsAvEBstw+0iyUCAqyn79k6XqWbMx6RM6MlqbsNpPxM77fKiidnXCczQzOeMfeps4oHSPmg5bUCBecVyEKrBLlAAARAAAQEIAAvIABUiJQqAf7XD2P+8DHdMVFdspedmS/LbenV0m2ry4qrz0xoQwzCxjsOp7JBGD26CjentI5LfpdJqT5dsAsEQCAeCcALxGOrw+ZwCQjQH+anisM6b0+Rp6FXy48MEkAABEAgHgjAC8RDK8PG8AhEIg4LTzOUAgEQAAEQAAEQAAFpE+B/XFLavGAdCIAACIAACIAACPBFAHEYXyQhBwRAAARAAARAAAS4EYhyHDY/bXZwUxi5QQAEQAAEJEDAYR4fHR4dn7U6JWAMTACBsAlENQ5jhh9/9Kw9bN1REARAAARAQIQEnPPDmoSUrOaLExebN6cntQ7Pi9AIqAwC/BAQYh3XUDUzNuUPEH00NQhVU+QDARAAARDgi4C5MSO/TdUy11lDlzfaRiyF+ft3WEaKFPAGfBGGHDERiFp/mGOye18TIVvFBAu6ggAIgAAIrJPArPF1+re/4YiaXWOSkG/+1VOEmP7pvGmdYlEcBERKIFpx2Hzb42UiRQa1QQAEQAAEwiZw/aMRWjZzc7pHQuLm/6EmZODC+9awJaIgCIiZQHTisOnz/3etUqsrJ8QmZnjQHQRAAARAIDwCi95ii4usH0glGJX0EsFnfBGIRhzGDD/5WFv/y898Pb5Qw1oQAAEQAAFyzzd2Uwq971/xsHBYJthd7PCbHI9GvBKIQhzW15h/QzdSJE/5AvtGxutjB7tBAATiloCi6Bm9mhiqK3voskXO6Zcer2RRpMYtDxge7wQiHYc5JluLT5WfrcklxH7LDd/JjB/TnJ6N94aA/SAAAiAQJwTSNBcW+ttLTx38v4pK//GTTXFiNcwEgcAEIry/5OyJhM2N/pqo2m3GCpl/evylOKzmt3sHvrTniYJM7Isef80Pi0EgDglMdydsL1PrTRc0OXFovb/J8AL+TKSdEuH+sIy6BZvnsNsttGuaqFosdrv9XxGEOcyjfSc0JSnpWcVlle/dwOq20v7ewToQiF8C0z3HEnYdm/auoj/86zcpi/L9O+KXyJLl8AJx+ghE+A2VRFmat9uLsUwaKHTjNPOUwrOMTJw2AWs2M3o6a/fRZQDoCltGgRMQAAGJEbg58zExGV65oDlZmjk/fDq/1qDWD5Vui/c/e/ACEnvOQzcnwv1hXsUco4dTd55irwyFGZWjcT9hX6b8+7kF24ShwQsInyAAAiAgTQL3Pfw9OhZy6rGsopJdGfm1de1D5zV50jSVi1XwAlxoSSpvhPvDvOyScztdrk7vFT5JokyeRmRbM4ECBEAABKRNIHnbwQuuRcZqZeyLKZ0ZabIouaFYowwvEGstEil98AWIFOkQ6lle1zCEvMgCAiAAAuIlQOeoyGVp4tVfKM3hBYQiG8NyozQuGcNEoBoIgAAIgAAIgAAIRIYA//1hztnRrl+9TzZu5MGAW2TnI0/kKeJ9/iYPJCECBEAABCJFAF4gUqRRjxQI8B+HJaZ89np1NbtPBR+H7gE14jA+QEIGCIAACESIALxAhECjGkkQ4D8OI2kFZwd1GYXLqzCUj8y9fM/imqPeNEdSEiE3Jt9uri/rMi3RRVeYJB4zGAECIBBPBOAF4qm1Yes6CQgQhxEiL/hBb8OZ4iZPMNXV+c4/nizdFqKiCsWhzrHv7NPsr2zzxmIhlhQum9PJ2Blm7g+TV/6Yvb9AER4zh5UhaTLElcI1EySDAAjEDAF4gQBNAS8QAAqSiEDz9BMPaM/WefGeeuzRvlnv2snexDt+yitae7XKO2aJ4M3pf31Z/a30zduV+4r/53VOdriVtJqHO05oElLS/3nMGkGtURUIgAAIRJEAvMAKfHiBFRY48yMgUBxGSGK21tTurc5UXP7qvPcitE/FoeOeQC683qfQKgkt17aDR4wXe9mwsPyv7+PcocW8WZtf2dhGSyfTYVccIAACIBAnBOAFlhoaXiBOnvgwzRQsDiNEllMx1EKXTXYfA7U/6BjnpOO2vY/Q/I7PHJxKCZR5+p1f0lHSquK8O4dh85OXeoyTq7vMZJoLLpO+XCDFIBYEQAAEYpYAvIC7aeAFYvYJjQnFBIzDqH15Na/qvMOLXZXl56e5BFXyHC0hZz64FgOcHB/8hu3Q+s6ezYQ4PWGWc+lzlXbX/u0Z9b6esHdp8ukvi34v4CrDcAECIAACYRGAF+CEDV6AEy5pZBY2DiNE8YMegzcSMz326OlZDtjke+qI6eYdXrR0XGqtP3Z+moPIYFmd0ydKNH3TQSIo54w7DGt4MDPR2FyZlMAeSUnPjvtFlUkbNxHlV8KJoZyMefLSS8erPQrW/rDJOG5mVnesBdMd6SAAAiAQwwRE4gUIMfecONzcF9gNwAvE8BMmdtWEjsNIYubBs2eqljCZjj7VOho6sgefnZr4/n1B8lu7NSmF1Vf3P0D7qMI5HFZzX3fHJbM7mErc/FAJKd6e2jocYBqbY2qI9oYpG/YrSOKX2IFJ9bmhmUXXyRy/Qcokkkpv+/ygCVUxZqI7a2dho8Gbf6BpnzKreyLwHwRvJnyCAAiAgAgIiMMLEHL3/Q/ddbQ4taTV3w3AC4jgOROtiuH03XA1NvvQi+1vtlW6gwxD9e7uvfZD2X4hTCChyYpt2YHS6bSxnvr0sjZlr+V8EedlJBzm0bdfb9U3trEK6UbUBZlUmeS8itYh26f5+RmyCduhbJlvtTND/fSyNDfp/LFdj92on3NVyH1uz48b3/n3hQ0bNpANZGb0KiGjv+jp+TIhX3zxxd3f2FeQHdIOarIcjcul8ZGKUxAAARCQDgExeAGSrMhrXRj6ND0/QyOztR7ydQPwAtJ5FmPQEldkjoVB74x9ykA7s75KR9rZae91hnDE2EZ0vq3QMrLgo8uMe7EM9eCcT5rL5q7NU0g94XvHfT6y/C6Cr1zPuUpvc+fxzNNfXZefICSAAAiAgIQJiMMLuCy9dGYyUekGfZoCXsAHBk75JkD4FhhUnqWffbg9h0o3FDTfWjfsE+7lMFS6VcHSWqVW7i/a5hZsE4YGjya3xUZzg24l1e2e+IktZRtxR5CqcjU7z03bb1kR5Xdm0quIssU3svNkQRzmhwoJIAACcUdAFF7A5bJ4Xi/Tm7x+AF4g7h7ViBos+PywpciLztgvajDULU3ZHzia3zEe3uQn5o3nKqlM3fOVvoODy7WsfZIok6fJsrZmBswpL/g+2yVmqOweXVLPeuUyHb9U6X7ceb5dRUhj/U/YVw0cs5PmYPpvDDbWuzEp2J2AuiARBEAABCRFQBRegDqrch37g7z6eLfnrzy8gKSewtgzJnJxGF3a9WBTl3fGPqlUNk5zfx/QaX7LPc+svPiBMMMwTxMEfwlTUfIU2/9VffJXnrchP7lopJcHvrmFJOb+WK8mpsanms931G4+ObYQpDVv+ZnFWOYsNPPlgQ/9bgWREbFkp4OxMkEPK+P3SmjENENFIAAC0iMgCi9AFHseZt2Aofrnk2wkJn0vENQHeG7EnOOS2hcjor1v7CiffpmgStvPtfZBHe2Tot1TS/OuuBZfzm8zLalx27gkzWAbaXFrqDRYFulVO/t1VA95xhoXPRPI6Iqu57wd1ssi2ZMJOpWsykCLrRx2U7lb3NJ/viOeK5midbZ4bjku9lXS51ytN0VLOdQLAiAgSQKx7wVcrgU6x4QeyrreRYl7AeryVs2Z9vnzv3yqNtkl+STGilGRHimT5WoGdWcLjw7QFh5o3Hf64YWa3JDeKHQ/EczH77IFVQf+wvdNluWHhZcT2ZZv0C/gADHNXGeIIq3igqtiWW5i5vExe/W8XS4PrHN2RadPbnex5JxOl6tzWUJsnTi37NXrczdu3BhYrVu3bLL7UgPfQyoIgAAIhEUg9r0AIWk7VCoyMGAaM9vJAUl7AZJ0z159i35jahA3QG7Zbm2CGwjrSQ+1UKTjMKpXwZF27ZmsRrpPECG1u59T2VpzQo2qmLmrbKlUQXdqlH3VsyLZzT/a6beRrW/VkSyXh7ToxqpCMXqRnHdIkxejukEtEAAByRKIdS9AiDzD7Qdu3KQDk34OSkpegF2tQ1MDPxDN71oU4jBCMht6DOez1O5IrK334xdz8vzDnUBQmOsj7jJ+95zTo+/NfuaXvDphgzw7L5vDrLKBj64fL1KslsHz1TvvvHPz5s01he7YsWPnzp1rZgsjw3Tf6Vfeup6SErio3W5/4HDjIQ4dloHlIBUEQAAEVhMQhxcgpnev0XERv0BstS3ruvrtb39748aNNUVs3bo1JydnzWxhZHBM92mb3yKbgrgBYren7Gk8Xhqakw6jfhQhUYnDSGJq2iYPfLX+yRCDMJo/yf93iUeK/de7C2vXbk3lkG0sL+RvVAR6Yuvr6z/44IM1FT969OiLL764ZjbuGZiLzbWn2JHeoIfqa08cysVPpaB8cAMEQCA8AqLwAtS0MPZH4QTkueeeu3z58ppFnn766VdeeWXNbGFkWLz5SVPbqTsWHHuirjR013lHUbgZgEBU4rDZ5r8qdHv/KlOnhkOUvUg8bxH72SH7G1O/4uqfNvjd8E34gnx5S7CI3zef99zmPRHu87333vvf//t/ryk/KUmgPwUyjRGr+K+JHxlAAAR4JyAOL0DNDv5yPT9M+vv7//u//3tNWYmJQjlrWW6Ny1WzpgLIIBwBoZo2uMbOvmPF7mn65MxES8gzw9zyUjbdpySGQEOT8pyiUr67bPPvXeqzC27Leu8EnSG/XsEoDwIgAAIxS0A0XoAod9/D5dd7GMTZPfFwxDeBSK4fxpKe7nm2uImNpOrOTYW4y+RKAyWm37uVvbI5hPyJsrjo6XW7JyN9pWqcgQAIgAAI8EFABF6AdoPdcvuBTRnpke+s4AMyZIiIQETjMMdk93Y1Ow6tbOh9qXQbd0wp6VuVtNRA34dBBihDFekzznf7l4yZ+dDAilFmBZ23GGotyAcCIAACIOBLQBRegBDGZGT9gHJXpsDdYb5scB6nBCIYhzGjT+4sYzErtb0vHLg9/AmJf6Lqe/VsxoHRmbAXency5slLLx2v9lRY+8Mm47iZ8Vku2DI+yt5S1z+UGZaOHrn4HwRAAARA4DYCIvECxGl5z/1zvP57e+AGbmtDXPJPIFILyi7QPYHch7o/zA26PZouLXOsW1rhnrP6yyvp+6Jc2c/VtdDiXkZZN7guLbmqtTA1ZDCc0+saylVE3TLCtTjygwAIgEDMExCLF3AtDLWwDkKpi6QbgBeI+QdYKAWJUIJXyx3ULUVhLUNcH+xF+6p9grw7I6nXu7XRagWXrhY8mxpF9utH67ZN9da54z/63a8zzATUDYkgAAIgIF4CYvEC7KZGbn8V4V/j8ALifbbXqXkk4jBLv9bT+aTWc+7pWbTQ3uGqqVWh2GK/lo1Zwu4SC47MomWnnykNM6vqC56f1zsz59yUPPta8ioZwkAABEAgqgTE4wVcHlXpJOYouAF4gag+pdGqXPD5YU5zT/G+RjbCKG/v1OS6Qw0O/1knxwj59CbdYWjlSCw6/nO6ofbR/OfGw54ltiJt5Wz49FN0t6WWoYsHozEzbPr937pVKb1fgQkJK42CMxAAAbETEJEXINbhp6jDUusvhjmJeV1tBS+wLnyiLSywy3dMPru0f1HdxGsVIS9lv4Jz/GIjUel33F4yraLTYrNsVqZsMi1oc9LWb4VzuOPp/FqDrt9Sk8dh76MVRdd75hg2eN4k3SPsVkrr1RPlQQAEQIALAdF4AeKcH346I9+gapk5r4mGG4AX4PJcSSivoP1hTPeTO93bJSjPTTVlh7M7tvliUzDYihrjwrmGj3/aPxUsB4d059Qbr39umLAdEXhDyaAqOa6808XeLN2fHTQPboAACICAyAiIxwsQYn7njU+1BpuxJhojIoTAC4js2eZN3QQ6IMqbsNWCRlsP765mg4sGw8wLBzNX3wzpihlvTVVW0y5i2wXN7T1iIQkQTSbHZEfKzkpCVIM2Y/b7zY/X96VuTSU2m2FggL7LqeG27YBorIaiIAAC0iYALxB6+8ILhM5KYjmF6g+bHz7tCcJU2v7wgjBC5ts9q3zZJMY8gDlXhvrZVNWBbBmRFx15vpQY6JGqGpyw/O1OaYegAWggCQRAQAIE4AU4NSK8ACdcUsq8/plVgWjMGx/Pr2VvqFrOHi8KlGPNNOZ8/f5a90p6hNzyWWZ1zYJizMCMXGA7DlUH9tJJCZM9xwobB8r1g69pCsIZyxUjAOgMAiAgMQLwAtwaFF6AGy8p5RYiDjOf2L9vgIWkNLRXpjkcdA8in32E1qbHWMb0/5DfuBSEEWX+vRLvEWKuXHAb+93iLaMdmt2Vbbr+mSNF4Yzkrg0XOUAABEBAcALwAhwRwwtwBCal7LzHYY6e+oN09Qf3YVJnpa4f1tbMDN61XL9WPEpgrlz2xJyVymJCTA2DC0cK0niUD1EgAAIgEEEC8AKcYcMLcEYmoQI8zw8b765Vn1qKwnijdIs3SbEp6OPLRq9ibnSfxcGEOK/B+AQBEJAYAXiBMBoUXiAMaJIpwmtPk3P6Z7o2olSyi9LzdZhMso18yYpNOfPD7lFJdYP+wWvVR7tIU7Ph2QM16BCLzdaCViAAAnciAC9wJzrB7sELBCMTF+kCrlsRF/zWb6T1UlF6IZ1Op59waUhHArt6BTkzYT9E11tzMowzRZbMa6y8foUhAQRAAARAgEcC8AI8whShKJ7HJUVIIMoqz3/0nvudhvIHswjJfljn3u277Edv0B2bep5OTW3je5A3yuaiehAAARAAgVUE4AVW4Yi/C8RhUW7z8bf7WA3Ki3ewa1TIK5/XspddlXm7EtRt6pHKXPYSBwiAAAiAgEQJwAtItGFDNUuoOMzpYKzzs+PDRuP4fKi6+OWzWumSF9I+mN9/wnaHVRXnepYKkxfUnaliTTaZiH7otVyJr9gh7caFdSAQ1wTgBUJrfniB0DhJN5cw88Mck81PPne0i12NQaU3GTU53AA6raP/amg9Vdl2o2VhLA5nrDtmzRaSmqngYf9ybuCRGwRAAAT4IQAvsC6O8ALrwieuwsLMAU/OPtJ5QbllV3GT6e/27uBKhJl4c7e6mi2l3iiMflw1inD+ZEXmtghXiepAAARAgE8C8ALrogkvsC584ios1LgkcU7+sonOMa/L3c55bx5ZjsZlHykXF0hoCwIgAAIg4EsAXsCXBs5BIAgBoeIwp/mjNlpllWp7InE6PftDLn0E0QTJIAACIAAC0iEALyCdtoQlQhIQatzPPPwbqnbdw/cnzhsPZ+zrcttQdWai9VA2IY7ZaYs9MdGvbhqopWZmyv3ShQQA2SAAAiAAAgIQgBcQACpESpCAQDGPY7iXdocp//KbCpI4TbGptedaninJ9Ew8Z8Y2b88PxrLFZKvJwVuCwfAgHQRAAAREQQBeQBTNBCWjT0CYOMxxpbeLvipZ+qX/6N6VX1Y/MleRK1+xVbZrzmJZTCKE/XfbsZiSjiDsNia4BAEQAAGxEYAXEFuLQd9oERAkDmOuvEvDMDLQWJhPVO1Tq4Iw1tBkuUIRLYNRLwiAAAiAgNAE4AWEJgz5kiEgSBx25d1eCkhVXn6jq2vgZPdsxfFVYZdj+nRD89WUTSm3U7Tb7Vs12pps9IjdTgbXIAACICAmAvACYmot6BpVAkLEYdb3z9IVXFVNr3Xe9QCjrG18pe/7LxxQzE5OpmRnp7HWLt68+ul/yT73N5yxXB2dqcxm54d5hiw3+udBCgiAAAiAQGwTgBeI7faBdrFEQID19D1bx6t0c8Yjcma0JHW3gZSf6f1WWfHkjOtkZmjGM+Y+dVbxACkftLxWoOC8AllolSAXCIAACICAAATgBQSACpFSJcD/+mHMHz6mOyaqS/ayM/NluS29WrptdVlx9ZkJbYhB2HjH4VQ2CKNHV+HmlNZxye8yKdWnC3aBAAjEIwF4gXhsddgcLgEB+sP8VHFY5+0p8jT0avmRQQIIgAAIxAMBeIF4aGXYGB6BSMRh4WmGUiAAAiAAAiAAAiAgbQL8j0tKmxesAwEQAAEQAAEQAAG+CCAO44sk5IAACIAACIAACIAANwKIw7jxQm4QAAEQAAEQAAEQ4IuAEOuHra3b/PSkLTE15a6kFLL4yTvnhzc8XHNw29rFkAMEQAAEQEDUBBxWhqTJfF/bcsxPW26QxE2ZmfLoOCRR84Ty4icQlf4w8wvbd27P2rw5IyM9Y3P+Yxe+cf9m8ZOEBSAAAiAAAkEJWM3DHSc0CSnp/zxmXc7kmO7ZlZLx6D+efDIrI+lwx/zyDZyAQNwQiMbPD8eNq0Sl0383g9wisq8VPHJwGzYyipsHDoaCAAjEJQHmzdr8arrTCt1g2LNbCj1zjNduV5vqDK6TB8np8qL0wsdzthmPFMQlHxgdvwSisG6Fc7o76dH/so/V+PZMx28LwHIQAAEQiA8C462HldVdLSMLNbnsFnfjrSX/f3vnA9TGdefx5xlhoK24A4/cnDwe8NjJyLkgdyAJNC72CLupNZ5anp5zydn4CsnFIkmHP7naDpkx18hzIXJ6sfF0WkHmDi5gLo7dq0UnBbdGSnD+wGQgRmQMjc0ZnSsmhhpq7SWSg2Z0byUEAklGK3Yl7eq7M7b2z3u//b3PW/H96b2376krzS02Zzm7lp2nu7ZQe2pN77SlxLf+XWogQSlBgCSgX9J1589EjbWK8PCBAAiAQCoTYAa6aPuYbnOev0NEpv7BbkKs732KzslUfipSsewJiMMmRy2k/bhef/Cg/uXz/fZUpI4ygwAIgECqE3A7nYSoC9cHxqXkrHuAIrF+djPVwaD8KUYgAXHYVwz98q15+l+MFX979YnivINNgynGHMUFARAAgZQnwNy00FWEN6wNhGHE9dUkhZKV8mAAINUIJCAOmyVbTDZzkVJZWtXSqCHtlRXdE55U447yggAIgAAIBBOQpWHMcDAP7KcKgQTEYQX6k3p2VCbd5Hlb1ITYPr/JpApvlBMEQAAEQIASkK8v1RDivDv/KzwtzdcWlg46IJBaBOIdh00MD45OuAOMXdM3bOx+WiKmzwg4kVSf7hl7d0frZfs8oqTyDs6AAAiAAF8EMrJo3GW13Aj8DHf8cYiaLv3OBr5uIFI7UAGRVlzMbsc3DnMPH1UXbi77z7nvncfxMX1dhpRpHpwfIRBzQcSe0W0f7D6u35uZk6c9UPHxbZfYywP/QQAEQCAsgfS5H97yQq2OEPMn1/yC4P70D6fouP28+XH7YTNL+SRUQMq1e4+yxTcO8ztiHXSwLdFMZ/2TzYTUmH+Wn/KjApjB03mF2vpmNiylW8rz8GPA/yAAAlIiwDgmHbQ8H1iv+Psi83/8Wg0hlYYOOr++x/77J5qJrrF5jzJFu0egAlJ61jmVJb5xWEb+G30tGtK8uXBv6aosXcOGlt7xk1hZko6UUD83Oe0cMddxqjwkBgEQAAFxEHAPH1yVpa2nb0iS9uptaXtb2UawDNXr4z06c2XOltK0PJ267lxbVZE4iiOAl1ABAaCKw2S8f3koisot3qdmphgPaclWZMf79klbKTK5IpvIN+QmrYNwDARAAARiJ5CR3+b1toXkl+WWXph1soLgIQr6RzCVN6hAqtZ+QgKhjGwFet7CPHGzYc7hFAiAAAhImoAv/pB0CTkUDirAAZZUksa3X1Iq1FAOEAABEAABEAABEFg5Af7bwzwTg+2//YSk8zEJzF2y+YdPFWEtypXXMyyAAAiAQLwIQAXiRRr3kQIB/uMwWeaXb1VWsqMx+diMj+gQh/EBEjZAAARAIE4EoAJxAo3bSIIA/3EYyS4522tcu+1ogE/ZwOQb980u2+tNU6SlEXJ79L0TtQfafdO7UgsYRxbAiE8QAAEQEAkBqIBIKgpuJgMBAeIwQhQlL3bVndE2+IOp9rb3f3Zy38YoS6tU7m8b+v4O/c6K5kAsFmVO4ZJ5PIyLYSb/NHrtL6qdJTHObuOeYUi2HHGlcNUEyyAAAklDACoQpiqgAmGg4BQRaJy+bJfhLJ2gz7+deuJHHFfyVpQ3dRnoypPJsY397g3d93LWbVLv0P7bF/NroUXt24y9v/W4flVmzq+G6GyF2EAABEAgFQhABRZqGSqwwAJ7IQQEisMIkakMtpbA7Wzasl9OBQ6i+1TuP+YP5ARpsYvOh7lUG/ccsVzqYsPCsr9/kHODFvNOdXFFPV04gGTQbldsIAACIJAiBKACcxUNFUiRJz7GYgoWh9E54vPL+xrp8mG+zVr9YuswJx83bv8hTe/+MilWvB57/ze0l/SQtujeYdjU6OVOy+jiJjO5/oLXZirjVHYkBgEQAAEJEIAK+CoRKiCBZ1nAIggYh1Gvi6p+aQx0L7ZXlJ0f4xJUKfINhJz59KaApY/WNF2Alm3Q+v7WdXQZNH+Y5Zn7XGTi5u9/otvRObeK+aIrUR0EtZclvhUwKo+RCARAAATuSQAqcE88Sy9CBZYSSYFjYeMwQpQvdpoDkZjtiR+dnuDAVLG1htju3ONFS/flptqXz49xMBkpqWfs+F5991iECMoz7gvD6h7LlVlOVKStYre0tMPDIVFlWvoaov6rWGIoD2Mfvfz6sUq/g9U/bbAM2+lSH9hAAARAQOQERKIChNg7jx880R1eBqACIn8Kk9l9oeMwIsvdc/bMoTkEtqPPNw1Gj+Oxw9dHnnkwQvqZDn3mtsobOx+hbVSxbO4Ze3dH62W7L5iSrXt8L9FuymrqDzOMzX29j7aGqet2Konsm2zHpO5c3/is92R+SCdlGsmil4N+0ETrGDPSkbd5W705kN7asEOd1zES/g9CIBE+QQAEQEAEBMShAoR8++HHv3FUm7W3KVQGoAIieM5E62IsbTdcC6va/1rLO80VviDDXFnYsd21XxUSwoQzmqHcqAp3ng4b66zNOdCs7nKcL+U8jYTbPvjeW02m+mbWIeOAriSXOpNRVN7U57xVXLxWPuLcr5IH33a8r4ce7itIO//ylidu1056yxVBl6eGLe//cXr16tVkNRkfvEHI4H93dn6LkK+//vrbD+0oUUW1cq08X+/16oOsYhcEQAAEpENADCpAMpRFTdN9t3KK1+rlzqb9wTIAFZDOs5iEJfHGZ5vuDYzYpwwM4yu76UALO+y9xhyLGeeAMbgWGgemg3wZ902WoeudDDrndfru5s+kGwm+4tsfmH8XIdiuf19jcvrS+MfpL75XiCGcAAEQAAEJExCHCngdXXRkMtEYe4OqAioQBAO7fBMgfBuMaM/Rwz7c/k1j7IuYbrkLrhHfdBga46JgablcC9dnnZPTzhFznd+TJbHRZK/PSV2LP35iczkHfBGkpkzHjnMz9DgWTIXs2Uwaom4Mjuz8SRCHhaDCCRAAgZQjIAoV8Hod/tfLTLaADkAFUu5RjWuBBR8fNhd50RH7pXXmmrkh+9ajxa3DsQ1+Yt5+qYLaNL5SEdw5OH+X5XdkckW2PG9DbtiUipJn2CYxc0XH4Jx7M9c+oP2XGuPP2863aAipr/139lUD98SoPZL/6ZH6etPTIl0J6wtOggAIgICkCIhCBahYlRnZH+SVxzr8f+WhApJ6CpOvMPGLw+jUrnsa2gMj9kmFun6M+/uAHvtF3zizMu0jMYZh/iqI/BKmcu/zbPtX5cnf+t+G/PyShR7u+u56Iiv4uUlHbPXPnzjfWr3u5NB0hNq8G1IsxjHpoIk/sF4JuRTBRtxOe9zMDBNxm2FCXgmNm2e4EQiAgPQIiEIFiHLrblYGzJW/HmUjMemrQEQN8F9IOuGS2hcjrq1vbC+faZ6gxtDD9e69RtomRZun5sZdcc0+n95pm3NjSb8kTeAcaPR5qDY7ZulRC/t11PX5+xpn/QPI6Iyu5wIN1vMm2Z0ROpTskJlmW9hctjKfubn/gns8FxIlam/23HxcHOxk0L7OZEuUc7gvCICAJAkkvwp4vdN0jAnd1DVdsxJXASp5i8ZMB/35n9/V2VySfBKTpVDx7imTF+h7jWe3HbXSGrbW7zi9e7qqIKo3Cn1PBHP1IzajZtd3gt9kmX9YeNmRr3+IfgGtxDb+BUOU2eUXvOXzdmW5x4ZclVMuhSK8z6rytqDUvmwZ+W1eb9u8heTa8azfbjIVpKenh3fr7l2n/MGs8NdwFgRAAARiIpD8KkBI9v0aDbFabUN2F9klaRUgafdtNzWa0rMiyAC567y7BjIQ05MebaZ4x2HUr5IjLYYzefV0nSBCqgtf0jib8qONqpjJG2yuLEFXapT/tX9Gsjt/cdFvI3u/RVuGQhHVpBuLMiXpQUbRfn1RkvoGt0AABCRLINlVgBDFWp8O3L5DOyZDBEpKKsDO1qGvgg4k8ruWgDiMkNy6TvP5PJ0vEmvuuvpaflFouBMOCvPFgC9PyDXP2ODHE1+GnF58YrVCVaTiMKrM+tkXx0qVi23wfPTuu+/evn17WaMPPfRQQUHBssliSDDWffoXF7/IzAyf1eVyPXKwfj+HBsvwdnAWBEAABBYTEIcKENtHN2m/SEggtrgsKzq6ePHirVu3ljWhUqkeffTRZZPFkMA91m04cZGsiSADxOXK3Fp/bF90Ih3D/ZGFJCQOI7Ks7DV++DrTs1EGYTR9WujvEr8V17uF26qXr011n3OoKOpvVBxaYg0Gw5UrV5Z1/PDhw8LEYcylE9Wn2J7eiJvmb57aX4CfShH54AIIgEBsBEShArRoMayPwgmI0Wj88MMPl83y3HPPCRSHzd75vKH51D0dGHqqZl/00nlPU7gYhkBC4rCJE3+3zaf+h2xteg5R9izxv0UcUg75P9h6lDf+b3XIheATX5NvrY8U8QenC+w7AzvCffb39wtnPArLcr0Fs/hHwQlJQAAEeCYgDhWghY78cj0/RCwW9pX8BG7ygiqvtyqBDuDW8Y/DPN0va33D9MmZkcaoR4b5aipzzYNqYg7XNanIL92Xz3NtFj8w12bHs12YAwEQAIGUJiAaFSDqwvu4/HpP6VpF4WMlEM/5w1gfxzoPaxvYSKrm3PUoV5lcKJos54EN7JHTLeRPlNlZf6vbfWtzFm6NPRAAARAAAT4IiEAFaDPYXZ8OrFmbE//GCj4gw4aICMQ1DnOPdmzSsf3Q6rqu1/dt5I4pM2eDmuaydl+J0EEZrcmgLv+lXzJm/IqZNaPOizhuMdq7IB0IgAAIgEAwAVGoACGMzcLqgHpLLprDgqsP+0IQiGMcxgw+u/kAWwa1oevVXUvDn6gKJ9M8XcsmtA6OxzzRu4exj15+/Vil/4bVP22wDNuZoOmCHcOD7CVd7eO5Mfnot4v/QQAEQAAElhAQiQoQj+Nj38/x2qe3QgaW1CEO+ScQrwllp+maQL5N1xPjAt1+T+emOTbOzXDP2f35mfSDUS6s5+qdbvRNo2zsXZGXXN2avt5nNp8zGevKNETXOMA1O9KDAAiAQNITEIsKeKf7GlmBUBvjKQNQgaR/gIVykAhleLHdXuNcFNbYx/XBnnUtWicosDKSbqVLGy12cO5o2r+oUXy/fvTezutdNb74j373a8zjYX3DSRAAARAQLwGxqAC7qJFPr+L8axwqIN5ne4WexyMOc/QY/I1POhPnlp5ZB20dPnR9USg222NgY5aYm8QiI3MY2OFnavP4ovtFTs/rlfFzPkr+dS15tQxjIAACIJBQAuJRAa/fVTqIOQEyABVI6FOaqJsLPj7MY+/U7qhnI4yyljZ9gS/U4PDfzOgQIbfu0BWGFjZZ6bFf0wW1jxa/NBzzKLEFawt7/aefp6stNfZd2pOIkWFjn/in8tv3sBIDEhYqBXsgAAJiJyAiFSAz/c9TwdKZLsU4iHlFdQUVWBE+0WYWWPLdo4fn1i+qGXmzPOqp7BdwDl+qJxrT/UtzZpe3OZyOderMNbZpQ372ykvh6W99objabOxxVBVxWPtowdGV7rn7zf43SbcKu5TSSv1EfhAAARDgQkA0KkA8U/0vrC02axrHz+sTIQNQAS7PlYTSCtoexnQ8u9m3XIL63PUGVSyrY9svNUSCrayyTJ+ru/ofPdcjpeBw3nP97be+Mo84jwi8oGREl9zX3m9nL+7bqYqYBhdAAARAQGQExKMChNjff/uWwey0VCWiR4QQqIDInm3e3F1FO0R5M7bY0GDTwcJKNrioM4+/uid38cWojpjhpix1JW0idl7QL20Ri8qAaBK5R1szN1cQoul1WlSfnHiytjtrQxZxOs1WK32XU89t2QHRlBqOggAISJsAVCD6+oUKRM9KYimFag+b6j/tD8I0hp7YgjBCplr8s3w5JcY8THGu9fWwZzW7VHKiKD3yyj5ipluWpnfE8ePN0g5Bw9DAKRAAAQkQgApwqkSoACdcUkq88pFV4WhMWZ4srmYvaBrPHisNl2LZc8z52p3Vvpn0CLkbNM3qshnFmIAZuMA2HGp2baeDEkY7X95Wby0z9b6pL4mlL1eMAOAzCICAxAhABbhVKFSAGy8ppRYiDrMf37nDykJSm1sqst1uugZR0DpCy9NjHEOmfy6unwvCiLr4AYm3CDHXLvgK+4/a9YOt+sKKZmPP+JHSWHpyl4eLFCAAAiAgOAGoAEfEUAGOwKSUnPc4zN1Zu4fO/uDbbLq8rJXD2pC7lncvV+4VjxaYax/4Y84KtZYQW13v9JGSbB7twxQIgAAIxJEAVIAzbKgAZ2QSysDz+LDhjmrdqbkojDdKd3mzlJyGrn5gCTjmQ/dlCgyICxQYnyAAAhIjABWIoUKhAjFAk0wWXluaPGP/ZWwmajU7KT1fm80mT+fLVnLamer39Urq6kyP3aw82k4aTpgP76pCg1hy1ha8AgEQuBcBqMC96ES6BhWIRCYlzgs4b0VK8Ft5IWcul+Zso8PpTCNePWldxc5eQc6MuPbT+dY8DOPJlGfwGiuv3GFYAAEQAAEQ4JEAVIBHmCI0xXO/pAgJJNjlqc8+9r3TUPZYHiGq3Ubfat8H/vVtumJT5wtZWc18d/ImuLi4PQiAAAiAwCICUIFFOFLvAHFYgut8+L1u1oMy7f3sHBWKilcM7GF7RdGWVbpm3UBFAXuIDQRAAARAQKIEoAISrdhoiyVUHOZxMzNTE8P9FsvwVLS+hKSbmaFTXkh7Y/73c7Y57JC2wD9VmKKk5swhtsg2GzH1vVkg8Rk7pF25KB0IpDQBqEB01Q8ViI6TdFMJMz7MPXri2ZeOtrOzMWhMNos+nxtAz8zg78xNpyqabzdOD6XgiHX3hN1BsnKVPKxfzg08UoMACIAAPwSgAiviCBVYET5xZRZmDHiG6kjbBfX6LdoG2z9tv58rEWbknUJdJZtLly6Mf1w9inP6DGXuxjjfErcDARAAAT4JQAVWRBMqsCJ84sosVL8k8Yz+poGOMa8p2MR5bR55vt7rGigTF0h4CwIgAAIgEEwAKhBMA/sgEIGAUHGYx/5ZM73lIc0mGfF4/OtDzn1E8ASnQQAEQAAEpEMAKiCdukRJhCQgVL+fvf8P1O2a3Q/LpiwH1+5o95Xh0JmRpv0qQtwTYw6XTBZybxqoZeXmKkLOCwkAtkEABEAABAQgABUQACpMSpCAQDGPu7+LNoepf/BdJZGNUWw6w7nGn+zN9Q88Z4bWbSqOxLLR5qzKx1uCkfDgPAiAAAiIggBUQBTVBCcTT0CYOMx9raudviq575v/07Gl+EDtwGR5gWKhrPItkw7HbBoh7L8l22xmDoKwJUxwCAIgAAJiIwAVEFuNwd9EERAkDmOufUTDMGKt31ZMNC3XFwVhbEEzFEplogqM+4IACIAACAhNACogNGHYlwwBQeKwax91UUCasrLb7e3Wkx0T5ccWhV3usdN1J25krslcStHlcm3QG6pUaBFbSgbHIAACICAmAlABMdUWfE0oASHisJlPztIZXDUNb7Z94xFGXV3/i+5nXt2lnBgdzVSpstnSzt65cevP8q9CC844bgyOV6jY8WH+Lsv00DQ4AwIgAAIgkNwEoALJXT/wLpkICDCfvn/peI1x0nJEwQzuzSo0k7IzXd87oB0d957Mja7wjL1bl6e1krJex5slSs4zkEV3E6QCARAAARAQgABUQACoMClVAvzPH8b86SpdMVG3dzs7Ml9e0NhloMtWH9BWnhkxRBmEDbcezGKDMLq1b1uX2TQs+VUmpfp0oVwgAAKpSAAqkIq1jjLHSkCA9rAQV9wzU65MRTZatULI4AQIgAAIpAIBqEAq1DLKGBuBeMRhsXmGXCAAAiAAAiAAAiAgbQL890tKmxdKBwIgAAIgAAIgAAJ8EUAcxhdJ2AEBEAABEAABEAABbgQQh3HjhdQgAAIgAAIgAAIgwBcBxGF8kYQdEAABEAABEAABEOBGAHEYN15IDQIgAAIgAAIgAAJ8EUAcxhdJ2AEBEAABEAABEAABbgQQh3HjhdQgAAIgAAIgAAIgwBcBxGF8kYQdEAABEAABEAABEOBGAHEYN15IDQIgAAIgAAIgAAJ8EUAcxhdJ2AEBEAABEAABEAABbgQQh3HjhdQgAAIgAAIgAAIgwBcBxGF8kYQdEAABEAABEAABEOBGAHEYN15IDQIgAAIgAAIgAAJ8EUAcxhdJ2AEBEAABEAABEAABbgQQh3HjhdQgAAIgAAIgAAIgwBeB/wfvUoKtXGCX0wAAAABJRU5ErkJggg==
\define tidname(currentname)
$currentname$1
\end
$$V(100) = N(100) \cdot S(100) = 520 \cdot 27.50 = 14300$$
$$V(101) = N(101) \cdot S(101) = 532 \cdot 28.25 = 15029$$.
$$V(101) = V(100) + 720 = 15020.$$
v0.1 : December 2014 - [[RWS]]