File: riemann.html

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jsxgraph 1.10.1%2Bdfsg1-1
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<html>
<head>
   <title>JSXGraph example</title>
   <link rel="stylesheet" type="text/css" href="../distrib/jsxgraph.css" />
<script type="text/javascript" src="../distrib/jsxgraphcore.js"></script>
</head>
<body>
<h1>Playground</h1>

<form>Riemann sum type: <select id="sumtype">
<option value='left' selected> left
<option value='right'> right
<option value='middle'> middle
<option value='trapezodial'> trapezodial
<option value='lower'> lower
<option value='upper'> upper
<option value='random'> random
</select></form>
<!-- Drawing area -->
<div id="box" class="jxgbox" style="width:800px; height:400px; overflow:hidden; /*position:absolute; top:0px; left:0px;*/"></div>
<!-- Drawing area -->
<div id="debug" style="display:block;"></div>

<script type="text/javascript">
/* <![CDATA[ */

var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50});
//brd.suspendUpdate();
var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n', snapWidth:1, withLabel:true});
var a = brd.create('slider',[[1,2],[5,2],[-10,-2*Math.PI,0]],{name:'start', snapWidth:0.25});
var b = brd.create('slider',[[1,1],[5,1],[0,Math.PI,10]],{name:'end'});
var f = function(x){ return Math.sin(x); }
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);
brd.unsuspendUpdate();

var os = brd.create('riemannsum',[f,
    function(){ return s.Value();}, function(){ return document.getElementById('sumtype').value;},
    function(){return a.Value();},
    function(){return b.Value();}
    ],
    {fillColor:'#ffff00', fillOpacity:0.3});

brd.create('text',[-6,-3,function(){
    return 'Sum=' +(JXG.Math.Numerics.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }
    ],{fontSize:40});

brd.create('text',[1,-3,function(){
    return 'Sum=' + os.Value().toFixed(4); }
    ],{fontSize:40});

//brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),'trapezodial',a.Value(),b.Value())).toFixed(2); }],{fontSize:40});
/* ]]> */
</script>
</body>
</html>