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Step functions: static and dynamic
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<iframe 
    src="https://www.jsxgraph.uni-bayreuth.de/share/iframe/step-function-ii" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Step functions: static and dynamic" 
    allowfullscreen
></iframe>
This code has to 
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });
    
    // Static example
    var curve = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]]);
    
    // Dynamic example
    var p = board.create('point', [-1, 5], { name: 'drag me' });
    var curve2 = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]], { strokeColor: 'red' });
    board.on('update', function() {
        var i, len = curve2.xterm.length;
        for (i = 0; i < len; i++) {
            curve2.yterm[i] = Math.random() * p.Y();
        }
    });
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-sa/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });

// Static example
var curve = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]]);

// Dynamic example
var p = board.create('point', [-1, 5], { name: 'drag me' });
var curve2 = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]], { strokeColor: 'red' });
board.on('update', function() {
    var i, len = curve2.xterm.length;
    for (i = 0; i < len; i++) {
        curve2.yterm[i] = Math.random() * p.Y();
    }
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Step functions: static and dynamic" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-sa/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });
   
   // Static example
   var curve = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]]);
   
   // Dynamic example
   var p = board.create('point', [-1, 5], { name: 'drag me' });
   var curve2 = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]], { strokeColor: 'red' });
   board.on('update', function() {
       var i, len = curve2.xterm.length;
       for (i = 0; i < len; i++) {
           curve2.yterm[i] = Math.random() * p.Y();
       }
   });
</jsxgraph>

Step functions: static and dynamic

Calculus
Function plotting
This is an example for the element step function. The first step function is just a static example. The second step function is dynamic and depends on the y-coordinate of the free point and the JavaScript function `Math.random()`. The function will be updated whenever the point is dragged. There is no real application for this, but it shows the dynamic nature of JSXGraph.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });

// Static example
var curve = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]]);

// Dynamic example
var p = board.create('point', [-1, 5], { name: 'drag me' });
var curve2 = board.create('stepfunction', [[0, 1, 2, 3, 4, 5], [1, 3, 0, 2, 2, 1]], { strokeColor: 'red' });
board.on('update', function() {
    var i, len = curve2.xterm.length;
    for (i = 0; i < len; i++) {
        curve2.yterm[i] = Math.random() * p.Y();
    }
});

license

This example is licensed under a Creative Commons Attribution ShareAlike 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.