Difference between revisions of "Change Equation of a Graph"

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This example shows how you can change the equation of a graph without creating the whole construction again. Dependend elements are updated automatically.
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This example shows how you can change the equation of a graph without creating the whole construction again. Dependent elements are updated automatically.
<html>
+
<html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
 
<div style="width:960px">
 
<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
 
<p>
 
 
<input type="text" id="eingabe" value="Math.sin(x)*Math.cos(x)">
 
<input type="text" id="eingabe" value="Math.sin(x)*Math.cos(x)">
 
<input type="button" value="set" onClick="doIt()" style='margin:1em'>  
 
<input type="button" value="set" onClick="doIt()" style='margin:1em'>  
</p>
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</html>
</div>
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<jsxgraph width="600" height="400" box="jxgbox">
<div id="debug" style="display:none;"></div>
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var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-6, 12, 8, -6], axis: true});
<script type="text/javascript">
 
    /* <![CDATA[ */
 
 
 
        board = JXG.JSXGraph.initBoard('jxgbox', {originX: 250, originY: 250, unitX: 40, unitY: 20});
 
        b1axisx = board.createElement('axis', [[1,0], [0,0]], {});
 
        b1axisy = board.createElement('axis', [[0,1], [0,0]], {});
 
 
 
eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
+
eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
graph = board.createElement('curve', [function(x){ return x; }, function(x){ return f(x); }, "x", -10, 10]);
+
var graph = board.create('functiongraph', [function(x){ return f(x); }, -10, 10]),
//graph = eval("board.createElement('curve', ['x', function(x){ return "+document.getElementById("eingabe").value+";}, 'x', -10, 10])",{curveType:'plot'});
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    p1 = board.create('glider', [0,0,graph], {style:6, name:'P'}),
        p1 = board.createElement('glider', [graph], {style:6, name:'P'});
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    p2 = board.create('point', [function() { return p1.X()+1;}, function() {return p1.Y()+JXG.Math.Numerics.D(graph.Y)(p1.X());}], {style:1, name:''}),
        p2 = board.createElement('point', [function() { return p1.X()+1;}, function() {return p1.Y()+board.algebra.D(graph.Y)(p1.X());}], {style:1, name:''});
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    l1 = board.create('line', [p1,p2],{}),
        l1 = board.createElement('line', [p1,p2],{});
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    p3 = board.create('point', [function() { return p2.X();}, function() {return p1.Y();}],{style:1, name:''}),
        p3 = board.createElement('point', [function() { return p2.X();}, function() {return p1.Y();}],{style:1, name:''});
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    pol = board.create('polygon', [p1,p2,p3], {}),
        pol = board.createElement('polygon', [p1,p2,p3], {});
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    t = board.create('text', [function(){return p1.X()+1.1;},function(){return p1.Y()+(p2.Y()-p3.Y())/2;},function(){ return "m="+((p2.Y()-p3.Y()).toFixed(2));}]);
        t = board.createElement('text', [function(){return p1.X()+1.1;},function(){return p1.Y()+(p2.Y()-p3.Y())/2;},function(){ return "m="+(board.round(p2.Y()-p3.Y(),2));}]);  
 
 
              
 
              
        function doIt(){
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    function doIt(){
        eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
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        eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
        graph.Y = function(x){ return f(x); };
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        graph.Y = function(x){ return f(x); };
    graph.updateCurve();
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        graph.updateCurve();
    board.update();
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        board.update();
        }  
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    }  
       
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</jsxgraph>
  /* ]]> */
 
  </script>
 
</html>
 
  
  
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=== JavaScript Part ===
 
=== JavaScript Part ===
'''Setting up the board'''
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Setting up the board
 
<source lang="javascript">
 
<source lang="javascript">
board = JXG.JSXGraph.initBoard('jxgbox', {originX: 250, originY: 250, unitX: 40, unitY: 20});
+
board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-6, 12, 8, -6], axis: true});
// Axes
 
b1axisx = board.createElement('axis', [[1,0], [0,0]], {});
 
b1axisy = board.createElement('axis', [[0,1], [0,0]], {});
 
 
</source>
 
</source>
  
'''Create a JavaScript Function f(x) From the Text Field'''
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Create a JavaScript Function f(x) From the Text Field
 
<source lang="javascript">
 
<source lang="javascript">
 
eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
 
eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
 
</source>
 
</source>
  
'''Use f(x) for defining the Graph'''
+
Use f(x) for defining the Graph
 
<source lang="javascript">
 
<source lang="javascript">
graph = board.createElement('curve', [function(x){ return x; }, function(x){ return f(x); }, "x", -10, 10]);
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graph = board.create('functiongraph', [function(x){ return f(x); },-10, 10]);
 
</source>
 
</source>
  
'''Define Further Elements'''
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The slope triangle
 
<source lang="javascript">
 
<source lang="javascript">
 
//glider on the curve
 
//glider on the curve
p1 = board.createElement('glider', [graph], {style:6, name:'P'});
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p1 = board.create('glider', [0,0,graph], {style:6, name:'P'});
 
//define the derivative of f
 
//define the derivative of f
g = board.algebra.D(f);
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g = JXG.Math.Numerics.D(f);
 
//a point on the tangent
 
//a point on the tangent
 
//                                variable x coordinate          variable y coordinate depending on the derivative of f at point p1.X()
 
//                                variable x coordinate          variable y coordinate depending on the derivative of f at point p1.X()
p2 = board.createElement('point', [function() { return p1.X()+1;}, function() {return p1.Y()+board.algebra.D(graph.Y)(p1.X());}], {style:1, name:''});
+
p2 = board.create('point', [function() { return p1.X()+1;}, function() {return p1.Y()+JXG.Math.Numerics.D(graph.Y)(p1.X());}], {style:1, name:''});
 
//the tangent  
 
//the tangent  
l1 = board.createElement('line', [p1,p2],{});  
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l1 = board.create('line', [p1,p2],{});  
 
//a third point fpr the slope triangle
 
//a third point fpr the slope triangle
p3 = board.createElement('point', [function() { return p2.X();}, function() {return p1.Y();}],{style:1, name:''});
+
p3 = board.create('point', [function() { return p2.X();}, function() {return p1.Y();}],{style:1, name:''});
 
//the slope triangle
 
//the slope triangle
pol = board.createElement('polygon', [p1,p2,p3], {});
+
pol = board.create('polygon', [p1,p2,p3], {});
 
//a text for displaying slope's value
 
//a text for displaying slope's value
 
//                              variable x coordinate          variable y coordinate                        variable value
 
//                              variable x coordinate          variable y coordinate                        variable value
t = board.createElement('text', [function(){return p1.X()+1.1;},function(){return p1.Y()+(p2.Y()-p3.Y())/2;},function(){ return "m="+(board.round(p2.Y()-p3.Y(),2));}],{color:ff0000});  
+
t = board.create('text', [function(){return p1.X()+1.1;},function(){return p1.Y()+(p2.Y()-p3.Y())/2;},function(){ return "m="+(p2.Y()-p3.Y()).toFixed(2);}],{color:ff0000});  
 
</source>
 
</source>
  
'''Define JavaScript Function doIt() for Reacting on User Input'''
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Change the plotted function
 
<source lang="javascript">
 
<source lang="javascript">
 
function doIt(){
 
function doIt(){
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== Remarks ==
 
== Remarks ==
The doIt() function is only responsible for updating the graph. All other dependend objects are self-updating, especially the object p2 which depends on the derivative of function f. This is all done by aononymous functions of JavaScript.
+
The doIt() function is only responsible for updating the graph. All other dependend objects are self-updating, especially the object p2 which depends on the derivative of function f. This is all done by anonymous functions of JavaScript.
 +
 
 
[[Category:Examples]]
 
[[Category:Examples]]
 +
[[Category:Calculus]]

Latest revision as of 10:30, 3 April 2019

This example shows how you can change the equation of a graph without creating the whole construction again. Dependent elements are updated automatically.


How to Create this Construction

HTML Part

Adding a text input field somewhere on the page together with a button

<input type="text" id="eingabe" value="Math.sin(x)*Math.cos(x)">
<input type="button" value="set" onClick="doIt()">

JavaScript Part

Setting up the board

board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-6, 12, 8, -6], axis: true});

Create a JavaScript Function f(x) From the Text Field

eval("function f(x){ return "+document.getElementById("eingabe").value+";}");

Use f(x) for defining the Graph

graph = board.create('functiongraph', [function(x){ return f(x); },-10, 10]);

The slope triangle

//glider on the curve
p1 = board.create('glider', [0,0,graph], {style:6, name:'P'});
//define the derivative of f
g = JXG.Math.Numerics.D(f);
//a point on the tangent
//                                 variable x coordinate           variable y coordinate depending on the derivative of f at point p1.X()
p2 = board.create('point', [function() { return p1.X()+1;}, function() {return p1.Y()+JXG.Math.Numerics.D(graph.Y)(p1.X());}], {style:1, name:''});
//the tangent 
l1 = board.create('line', [p1,p2],{}); 
//a third point fpr the slope triangle
p3 = board.create('point', [function() { return p2.X();}, function() {return p1.Y();}],{style:1, name:''});
//the slope triangle
pol = board.create('polygon', [p1,p2,p3], {});
//a text for displaying slope's value
//                               variable x coordinate          variable y coordinate                        variable value
t = board.create('text', [function(){return p1.X()+1.1;},function(){return p1.Y()+(p2.Y()-p3.Y())/2;},function(){ return "m="+(p2.Y()-p3.Y()).toFixed(2);}],{color:ff0000});

Change the plotted function

function doIt(){
  //redefine function f according to the current text field value
  eval("function f(x){ return "+document.getElementById("eingabe").value+";}");
  //change the Y attribute of the graph to the new function 
  graph.Y = function(x){ return f(x); };
  //update the graph
  graph.updateCurve();
  //update the whole board
  board.update();
}

Remarks

The doIt() function is only responsible for updating the graph. All other dependend objects are self-updating, especially the object p2 which depends on the derivative of function f. This is all done by anonymous functions of JavaScript.