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index.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml"><head>
<title>Double Pendulum Simulation</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<link rel="stylesheet" type="text/css" href="index.css">
<script type="text/javascript" src="index.js"></script>
</head>
<body>
<div id="noSupport">
<p id="noWorkerSupport">
OoPs! Your browser doesn't appear to
support <a href="https://en.wikipedia.org/wiki/Web_Workers">Web
Workers</a>, so this page won't work.
See <a href="http://caniuse.com/webworkers">http://caniuse.com/webworkers</a>
for a list of browsers that do support Web Workers.
</p>
<p id="noSVGSupport">
OoPs! Your browser doesn't appear to
support <a href="https://en.wikipedia.org/wiki/Scalable_Vector_Graphics">SVG</a>,
so this page won't work.
See <a href="http://caniuse.com/svg-html5">http://caniuse.com/svg-html5</a>
for a list of browsers that do support SVG.
</p>
</div>
<div id="title"><a href="https://en.wikipedia.org/wiki/Double_pendulum">Double Pendulum</a></div>
<div id="controls">
<div id="controlsTitle">Initial Conditions</div>
<div id="confInput">
<form class="conditionsInput">
<label>L<sub>1</sub> <input id="l1" value="40" type="text"></label>
<label>L<sub>2</sub> <input id="l2" value="200" type="text"></label>
</form>
<form class="conditionsInput">
<label>M<sub>1</sub> <input id="m1" value="1" type="text"></label>
<label>M<sub>2</sub> <input id="m2" value="1" type="text"></label><br>
</form>
<form class="conditionsInput">
<label>θ<sub>1</sub> <input id="t1" value="179" type="text"></label>
<label>θ<sub>2</sub> <input id="t2" value="179" type="text"></label>
</form>
<form class="conditionsInput">
<label>ω<sub>1</sub> <input id="o1" value="0" type="text"></label>
<label>ω<sub>2</sub> <input id="o2" value="0" type="text"></label><br>
</form>
<form id="conditionsSubmit">
<input id="reload" value="Load new values" type="button">
</form>
</div>
<svg xmlns="http://www.w3.org/2000/svg" id="configHelpButtonSVG"
width="34px" height="34px" viewBox="-2 -2 34 34">
<g id="controlsHelpButton">
<rect rx="2" ry="2" width="30" height="30" stroke="#888" fill="#eee"></rect>
<text fill="#999" stroke="#666" font-size="28" x="8" y="26">?</text>
</g>
</svg>
<div id="controlsHelp">
<svg xmlns="http://www.w3.org/2000/svg" width="230px" height="220px">
<g transform="translate(5,5)">
<!--L_1 vertical-->
<line y2="50" stroke="black" stroke-width="2" stroke-dasharray="10,5"></line>
<!--L_2 vertical-->
<line x1="200" y1="80" x2="200" y2="130" stroke="black" stroke-width="2" stroke-dasharray="10,5"></line>
<!--theta_1 arc-->
<path d="M 0 40 A 40 40 0 0 0 37.14 14.86" fill="none" stroke="black" stroke-width="2"></path>
<!--theta_2 arc-->
<path d="M 164.78 98.96 A 40 40 0 0 0 200 120" fill="none" stroke="black" stroke-width="2"></path>
<circle r="5"></circle>
<!--omega_1 arrow-->
<!--http://stackoverflow.com/questions/12680166/how-to-use-an-arrow-marker-on-an-svg-line-element-->
<defs>
<marker id="triangle" viewBox="0 0 10 10" refX="0" refY="5" markerUnits="strokeWidth" markerWidth="8" markerHeight="6" orient="auto">
<path d="M 0 0 L 10 5 L 0 10 z"></path>
</marker>
</defs>
<line x1="200" y1="80" x2="220" y2="30" marker-end="url(#triangle)" stroke="black" stroke-width="2"></line>
<!--omega_1 label-->
<text x="190" y="40" font-size="15">ω<tspan dy="5">1</tspan></text>
<!--omega_2 arrow-->
<line x1="70" y1="150" x2="100" y2="205.71" marker-end="url(#triangle)" stroke="black" stroke-width="2"></line>
<!--omega_2 label-->
<text x="92" y="183" font-size="15">ω<tspan dy="5">2</tspan></text>
<!--L_1-->
<line stroke-width="5" stroke="#3E4BAE" x2="200" y2="80"></line>
<!--L_2-->
<line stroke-width="5" stroke="#43AE3E" x1="200" y1="80" x2="70" y2="150"></line>
<!--M_1 circle-->
<circle r="20" cx="200" cy="80" stroke="#3E4BAE" fill="#3E4BAE"></circle>
<!--M_1 label-->
<text x="188" y="82" font-size="15" stroke="#ff0" fill="#ff0">M<tspan dy="5">1</tspan></text>
<!--M_2 circle-->
<circle r="18" cx="70" cy="150" stroke="#43AE3E" fill="#43AE3E"></circle>
<!--M_2 label-->
<text x="58" y="152" font-size="15" stroke="black" fill="#555">M<tspan dy="5">2</tspan></text>
<!--theta_1 label-->
<text x="20" y="50" font-size="15">θ<tspan dy="5">1</tspan></text>
<!--theta_2 label-->
<text x="170" y="130" font-size="15">θ<tspan dy="5">2</tspan></text>
<!--L_1 label-->
<text x="100" y="30" font-size="15">L<tspan dy="5">1</tspan></text>
<!--L_2 label-->
<text x="115" y="100" font-size="15">L<tspan dy="5">2</tspan></text>
</g>
</svg>
<p>These settings define where the pendula begin the simulation.
L's are the lengths of the pendula, M's their masses, θ's
the angle from a downward vertical (measured in degrees,
positive in the counter-clockwise direction, negative in the
clockwise direction), and ω's are angular
velocities (how fast each pendulum is spinning; a non-zero value
would correspond to giving the pendulum a push when the
simulation starts).
</p>
</div><!-- end #controlsHelp -->
</div>
<div id="runControls">
<input id="startPause" value="Start" type="button">
<label>Show trail: <input id="trailCheckbox" type="checkbox"></label>
</div>
<!-- svg doesn't have the equivalent of innerHTML, so wrap the svg in a div that
does. -->
<div id="pendula">
<svg id="test" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 700 700" >
<rect width="700" height="700" fill="white"></rect>
<g transform="translate(350,350) scale(1 -1)">
<polyline id="trail" stroke="black" fill="none" stroke-width="1" points=""></polyline>
<circle r="10"></circle>
<line id="line1" stroke-width="10" stroke="#3E4BAE" y2="39.99" x2="0.7"></line>
<line id="line2" stroke-width="10" stroke="#43AE3E" y2="239.96" x2="4.19" y1="39.99" x1="0.7"></line>
</g>
</svg>
</div>
<form id="getSVG">
<div id="getSVGHeader">
<input id="genSVG" value="Generate SVG of current image" type="button">
<svg xmlns="http://www.w3.org/2000/svg" id="getSVGHelpButtonSVG"
width="34px" height="34px" viewBox="-2 -2 34 34">
<g id="getSVGHelpButton">
<rect rx="2" ry="2" width="30" height="30" stroke="#888" fill="#eee"></rect>
<text fill="#999" stroke="#666" font-size="28" x="8" y="26">?</text>
</g>
</svg>
<div id="getSVGHelpText" style="top: 20px;">
<p><em>If you're not familiar with SVG you can safely ignore
this.</em>
</p>
<p>Click the button to generate an SVG snapshot of the
image currently being shown in the simulator.
</p>
</div>
</div>
<textarea id="svgText" rows="10"></textarea>
</form>
</body></html>