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Sébastien Loisel
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‎favicon.ico

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‎index.html

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<html>
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<head>
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<link rel="SHORTCUT ICON" href="favicon.ico">
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<title>Numeric Javascript</title>
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<style>
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body {
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font-family: sans-serif;
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font-size: 14px;
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margin-top: 10px;
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margin-left: 50px;
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margin-right: 50px;
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margin-bottom: 50px;
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}
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td.big {
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font-size: 36px;
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font-weight: bold;
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}
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td.beta {
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color: #b0b0b0;
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}
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a.tryit { font-size:24px; font-weight: bold; }
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a:link { color: #0000ff; }
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a:visited { color: #0000ff; }
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a:active { color: #0000ff; }
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a:hover { color: #ff0000; }
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h1 {
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font-size: 24px;
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}
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table.float {
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width: 405px;
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float: right;
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border-width: 5px;
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border-style: solid;
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border-color: #b0b0b0;
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margin-left:10px;
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}
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td { font-size: 14px; }
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td.float {
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padding:10px;
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font-weight: bold;
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}
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</style>
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<body>
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<table>
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<tr>
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<td><img src="resources/paperplane-small.png"></td>
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<td><table><tr>
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<td class="big">Numeric Javascript.</td>
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<td class="beta">(Beta)</td></tr>
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<table><tr>
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<td><a href="workshop.php?link=6b035104673d7847a8dd74b8d3b1a6dbe0034a50731fd2202208a27681d6811b" class="tryit">Try it now!</a>
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<td width=75 align="center">or</td>
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<td><a href="numeric-1.0.zip" class="tryit">Download Source Code (zip)</a>.</td>
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</tr></table></td>
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</tr>
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</table>
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<h1>What?</h1>
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<table class="float"><tr><td class="float">
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<a href="workshop.php?link=6b035104673d7847a8dd74b8d3b1a6dbe0034a50731fd2202208a27681d6811b"><img src="resources/workshop.png" alt="Numeric Javascript Workshop" width="400px"></a><br><br>
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Try <a href="workshop.php?link=6b035104673d7847a8dd74b8d3b1a6dbe0034a50731fd2202208a27681d6811b">Numeric Javascript Workshop</a> right from your browser!
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</td></tr></table>
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<a href="http://www.ma.hw.ac.uk/~loisel/numeric/">Numeric Javascript</a>
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is a library for numerical computations in Javascript. You can write Javascript
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programs that manipulate matrices, solve linear problems, find eigenvalues and
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solve optimization problems in the browser. You can also use
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Numeric Javascript outside the browser with <a href="http://nodejs.org/">Node.js</a>
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and similar server-side technologies.<br><br>
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In addition to the <tt>numeric.js</tt> Javascript library, you can use
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the <a hef="workshop.php?link=6b035104673d7847a8dd74b8d3b1a6dbe0034a50731fd2202208a27681d6811b">Numeric Javascript Workshop</a> (pictured right),
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to interact with a Javascript prompt that is preloaded with
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the Numeric Javascript library.
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<h1>Why?</h1>
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Computers are very powerful devices but your audience often doesn't have
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the software tools you use, such as Fortran compilers or a MATLAB license.
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For small and medium scientific programming tasks, you can use
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<a href="http://www.ma.hw.ac.uk/~loisel/numeric/">Numeric Javascript</a>
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to write numerical programs that will run in any modern browser <b>without installing any
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special software.</b>
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You can reach a much broader audience and communicate your ideas more clearly
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by using Numeric Javascript.<br><br>
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<h1>How?</h1>
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<a href="http://www.ma.hw.ac.uk/~loisel/numeric/">Numeric Javascript</a> is
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a Javascript library. It is loaded into each visitor's browser when
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they visit a page that uses Numeric Javascript. This means that their own
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browser is able to solve many scientific problems without ever having to
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contact the server. As a result, your server can serve essentially static
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pages -- all the computing power is in your visitors's browsers and computers.
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<h1>Who?</h1>
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Numeric Javascript is written by
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<a href="http://www.ma.hw.ac.uk/~loisel/">S&eacute;bastien Loisel</a>
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for use by anyone who needs to do numerical computations in Javascript.
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‎resources/license.txt

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The spinning wait icons by Andrew B. Davidson were taken from
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http://www.andrewdavidson.com/articles/spinning-wait-icons/
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The icons are copyrighted. As far as license goes, this is my understanding
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from the above web site:
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"These icons are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License."
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Link to license: http://creativecommons.org/licenses/by-nc-sa/2.5/

‎resources/paperplane-small.png

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‎resources/paperplane.png

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‎resources/wait16.gif

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‎resources/wait24.gif

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‎resources/workshop.png

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‎src/.externalToolBuilders/Call builder.sh.launch

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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<launchConfiguration type="org.eclipse.ui.externaltools.ProgramBuilderLaunchConfigurationType">
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<stringAttribute key="org.eclipse.debug.ui.ATTR_CAPTURE_IN_FILE" value="/Users/sebastienloisel/Dropbox/javascript/numeric/log/build.log"/>
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<booleanAttribute key="org.eclipse.debug.ui.ATTR_LAUNCH_IN_BACKGROUND" value="true"/>
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<stringAttribute key="org.eclipse.ui.externaltools.ATTR_LOCATION" value="/Users/sebastienloisel/Dropbox/javascript/numeric/tools/build.sh"/>
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<stringAttribute key="org.eclipse.ui.externaltools.ATTR_RUN_BUILD_KINDS" value="full,incremental,auto,"/>
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<booleanAttribute key="org.eclipse.ui.externaltools.ATTR_TRIGGERS_CONFIGURED" value="true"/>
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<stringAttribute key="org.eclipse.ui.externaltools.ATTR_WORKING_DIRECTORY" value="/Users/sebastienloisel/Dropbox/javascript/numeric/tools"/>
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</launchConfiguration>

‎src/.project

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<?xml version="1.0" encoding="UTF-8"?>
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<projectDescription>
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<name>numeric</name>
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<comment></comment>
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<projects>
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</projects>
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<buildSpec>
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<buildCommand>
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<name>org.eclipse.wst.jsdt.core.javascriptValidator</name>
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<arguments>
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</arguments>
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</buildCommand>
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<buildCommand>
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<name>org.eclipse.ui.externaltools.ExternalToolBuilder</name>
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<triggers>auto,full,incremental,</triggers>
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<arguments>
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<dictionary>
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<key>LaunchConfigHandle</key>
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<value>&lt;project&gt;/.externalToolBuilders/Call builder.sh.launch</value>
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</dictionary>
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</arguments>
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</buildCommand>
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</buildSpec>
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<natures>
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<nature>org.eclipse.wst.jsdt.core.jsNature</nature>
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</natures>
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</projectDescription>

‎src/arithmetic.js

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/**
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* Adds tensors
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*
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* @example
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> numeric.add(1,2)
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t(3)
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> numeric.add(1,[2,3])
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t([3,4])
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> numeric.add([1,2],3)
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t([4,5])
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> numeric.add([1,2],[3,4])
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t([4,6])
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> numeric.add(numeric.t(1,2),numeric.t(3,4))
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t(4,6)
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> numeric.add(1,numeric.t(2,3))
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t(3,3)
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> numeric.add(numeric.t(2,3),1)
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t(3,3)
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> numeric.add(numeric.t([1,2],[3,4]),numeric.t([5,6],[7,8]))
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t([6,8],
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[10,12])
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> numeric.add(1,2,3,4,5,6,7,8,9)
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t(45)
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*/
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function add() {
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function adder(x,y) { var i; for(i=0;i<x.length;i++) { x[i] += y(i); } }
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var ret = copy(t(arguments[0])),foo;
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var i,j,foo,bar;
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for(i=1;i<arguments.length;i++) {
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foo = t(arguments[i]);
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if(ret.s.length === 0 && foo.s.length >0) {
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bar = ret;
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ret = copy(foo);
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foo = bar;
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}
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adder(ret.x,mkf(foo.x));
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if(typeof ret.y === "undefined") {
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if(typeof foo.y !== "undefined") {
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ret.y = foo.y.slice(0);
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}
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} else {
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if(typeof foo.y !== "undefined") {
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adder(ret.y,mkf(foo.y));
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}
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}
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}
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return ret;
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}
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expo(add);
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/**
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* Subtracts tensors.
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*
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* @example
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> numeric.sub(1,2)
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t(-1)
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> numeric.sub(1,[2,3])
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t([-1,-2])
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> numeric.sub(numeric.t(1,2),([3,4]))
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t([-2,-3],[2,2])
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> numeric.sub([1,2],numeric.t(3,4))
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t([-2,-1],[-4,-4])
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> numeric.sub(numeric.t([1,2],[3,4]),numeric.t([5,6],[7,8]))
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t([-4,-4],[-4,-4])
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*/
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function sub() {
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function subber(x,y) { var i; for(i=0;i<x.length;i++) { x[i] -= y(i); } }
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var ret = copy(t(arguments[0])),foo;
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var i,j,foo,bar;
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for(i=1;i<arguments.length;i++) {
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foo = t(arguments[i]);
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if(ret.s.length === 0 && foo.s.length >0) {
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if(typeof ret.y === "undefined") {
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ret = mkT(foo.s,mka(foo.x.length,ret.x[0]));
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} else {
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ret = mkT(foo.s,mka(foo.x.length,ret.x[0]),
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mka(foo.x.length,ret.y[0]));
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}
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}
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subber(ret.x,mkf(foo.x));
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if(typeof foo.y !== "undefined") {
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if(typeof ret.y === "undefined") {
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ret.y = mka(ret.x.length,0);
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}
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subber(ret.y,mkf(foo.y));
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}
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}
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return ret;
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}
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expo(sub);
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/**
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* Multiplies tensors pointwise.
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*
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* For matrix products, etc... see dot() and tensor().
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*
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* @example
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> numeric.mul(1,2)
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t(2)
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> numeric.mul([1,2],[3,4])
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t([3,8])
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> numeric.mul(numeric.t(1,2),numeric.t(3,4))
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t(-5,10)
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> numeric.mul(numeric.t([1,2],[3,4]),numeric.t([5,6],[7,8]))
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t([-16,-20],[22,40])
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*/
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function mul() {
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function muler(x,y) { var i; for(i=0;i<x.length;i++) { x[i] *= y(i); } }
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var ret = copy(t(arguments[0])),foo;
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var i,j,foo,bar,x1,y1,x2,y2,z1,z2;
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for(i=1;i<arguments.length;i++) {
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foo = t(arguments[i]);
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if(typeof ret.y !== "undefined" || typeof foo.y !== "undefined") {
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x1 = real(ret);
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y1 = imag(ret);
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x2 = real(foo);
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y2 = imag(foo);
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z1 = sub(mul(x1,x2),mul(y1,y2));
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z2 = add(mul(x1,y2),mul(y1,x2));
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ret = mkT(z1.s,z1.x,z2.x);
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} else {
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if(ret.s.length === 0 && foo.s.length > 0) {
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bar = ret;
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ret = copy(foo);
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foo = bar;
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}
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muler(ret.x,mkf(foo.x));
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}
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}
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return ret;
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}
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expo(mul);
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/**
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* Pointwise division of tensor.
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*
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* @example
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> numeric.div(1,2)
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t(0.5)
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> numeric.div([1,2],4)
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t([0.25,0.5])
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> numeric.div(4,[1,2])
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t([4,2])
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> numeric.div([1,2],[4,8])
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t([0.25,0.25])
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> numeric.div(numeric.t(1,2),numeric.t(3,4))
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t(0.44,0.08)
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> numeric.div(1,numeric.t(3,4))
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t(0.12,-0.16)
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> numeric.div(numeric.t(3,4),5)
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t(0.6,0.8)
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*/
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function div() {
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function diver(x,y) { var i; for(i=0;i<x.length;i++) { x[i] /= y(i); } }
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var ret = copy(t(arguments[0])),foo;
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var i,j,foo,bar,x1,y1,x2,y2,z1,z2,r;
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for(i=1;i<arguments.length;i++) {
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foo = t(arguments[i]);
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if(typeof ret.y !== "undefined" || typeof foo.y !== "undefined") {
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x1 = real(ret);
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y1 = imag(ret);
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x2 = real(foo);
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y2 = imag(foo);
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r = add(mul(x2,x2),mul(y2,y2));
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z1 = div(add(mul(x1,x2),mul(y1,y2)),r);
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z2 = div(sub(mul(y1,x2),mul(x1,y2)),r);
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ret = mkT(z1.s,z1.x,z2.x);
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} else {
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if(ret.s.length === 0 && foo.s.length > 0) {
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ret = mkT(foo.s,mka(foo.x.length,ret.x[0]));
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}
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diver(ret.x,mkf(foo.x));
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}
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}
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return ret;
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}
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expo(div);

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