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OpenBoard/resources/library/applications/GraphMe.wgt/Grapheur.xhtml

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"/>
<meta name="description" content="Traceur de fonctions mathématiques en JavaScript"/>
<meta name="author" content="Yannick Vessaz"/>
<meta name="revised" content="2010/09/25"/>
<title>Graphics</title>
<link rel="stylesheet" type="text/css" href="Style/default.css"/>
<script type="text/javascript" src="JavaScript/ColorPicker.js"></script>
<script type="text/javascript" src="JavaScript/Interface.js"></script>
<script type="text/javascript" src="JavaScript/Outils.js"></script>
<script type="text/javascript" src="JavaScript/AffichageStandard.js"></script>
<script type="text/javascript" src="JavaScript/Affichage3D.js"></script>
<script type="text/javascript" src="JavaScript/AffichageUniboard.js"></script>
<script type="text/javascript" src="JavaScript/AffichageXPM.js"></script>
<script type="text/javascript" src="JavaScript/languages.js"></script>
<script type="text/javascript" src="JavaScript/Etude.js"></script>
<script type="text/javascript" src="JavaScript/Sauvegardes.js"></script>
<script src="JavaScript/jquery-1.3.2.min.js" type="text/javascript"></script>
<script src="JavaScript/jquery.disable.text.select.js" type="text/javascript"></script>
<script type="text/javascript">
// <![CDATA[
// --- Variables nécessaires au fonctionnement du widget ---
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var largeur = 500
var hauteur = 400
var graphique = ""
var image = ""
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var pointY = new Array()
var pente = new Array()
var pente2 = new Array()
var precision = 0.02
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var b = 0
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var couleurAxes = "rgba(0,0,0,0.5)"
var decalageX = 0
var decalageY = 0
var lineWidth = 3
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sankoreLang[lang].display;
} catch(e){
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sankore.setPreference("xAxisTo",$("#borneXDroite").val());
sankore.setPreference("yAxisFrom",$("#borneYGauche").val());
sankore.setPreference("yAxisTo",$("#borneYDroite").val());
sankore.setPreference("functionColor",$("#inputTeinte").val());
sankore.setPreference("functionValue",$("#inputValeur").val());
sankore.setPreference("functionSaturation",$("#inputSaturation").val());
sankore.setPreference("functionRed",$("#inputRouge").val());
sankore.setPreference("functionGreen",$("#inputVert").val());
sankore.setPreference("functionBlue",$("#inputBleu").val());
sankore.setPreference("functionOpacity",$("#inputOpacity").val());
sankore.setPreference("functionColorId", idColor);
if ($('#checkDerivee').is(":checked"))
sankore.setPreference("simplefx","1");
else
sankore.setPreference("simplefx","0");
if ($('#checkDerivee2').is(":checked"))
sankore.setPreference("hardfx","1");
else
sankore.setPreference("hardfx","0");
sankore.setPreference("squareUnderFrom", $("#aireG").val());
sankore.setPreference("squareUnderTo", $("#aireD").val());
sankore.setPreference("calculateThePoint", $("#inputX").val());
if ($('#checkAire').is(":checked"))
sankore.setPreference("checkboxDraw","1");
else
sankore.setPreference("checkboxDraw","0");
sankore.setPreference("selectedTheme", $("#selectTheme").val());
sankore.setPreference("graphicalMethodDisplaying", $("#selectMethodeAffichage").val());
sankore.setPreference("defaultZoom", $("#zoomDefaut").val());
if ($('#checkGrille').is(":checked"))
sankore.setPreference("showGrid","1");
else
sankore.setPreference("showGrid","0");
if ($('#checkAxes').is(":checked"))
sankore.setPreference("showAxis","1");
else
sankore.setPreference("showAxis","0");
if ($('#checkEchelle').is(":checked"))
sankore.setPreference("showScale","1");
else
sankore.setPreference("showScale","0");
sankore.setPreference("styleOf3DShow", $("#selectAffichage3D").val());
sankore.setPreference("accuracyFunction", $("#inputPrecision3D").val());
sankore.setPreference("redColor", $("#selectRouge3D").val());
sankore.setPreference("greenColor", $("#selectVert3D").val());
sankore.setPreference("blueColor", $("#selectBleu3D").val());
sankore.setPreference("3DGeneralColor", $("#couleur3Dgenerale").val());
sankore.setPreference("thickness", $("#inputTaille").val());
sankore.setPreference("offsetDiagrammX", $("#inputDecalageX").val());
sankore.setPreference("offsetDiagrammY", $("#inputDecalageY").val());
sankore.setPreference("accuracyGraph", $("#inputPrecision").val());
if(historique.length)
sankore.setPreference("graphmeHistory", historique.toString());
}
});
});
//alert(navigator.appName+" ; "+navigator.appVersion+" ; "+navigator.userAgent)
// ------------- Fonctions du widgets -------------
// Lance la procédure pour dessiner la fonction qui se trouve dans l'input en haut du widget.
// Permet aussi d'actualiser le graphique.
function actualiserGraph(){
evaluer(document.getElementById("inputEq").value)
}
// Cette fonction détermine si la fonction entrée est valide ou non.
// Elle retourne "true" si la fonction ne comporte pas de caractères interdits et "false" dans le cas contraire.
function check(eq){
for(var i=0; i<interdit.length; i++){
var condition = ""
for(var k=0; k<interdit[i].length; k++){
if(k==0){
condition = condition + "eq.charAt(j) == interdit[i].charAt(0)"
}
else{
condition = condition + "&& eq.charAt(j+"+k+") == interdit[i].charAt("+k+")"
}
}
//alert(interdit[i]+" ; "+condition)
for(var j=0; j<eq.length; j++){
if(eval(condition)){
document.getElementById("spanFctInterdite").innerHTML = interdit[i]
afficherMenu("fctInterdite")
//alert("------- Erreur -------\nImpossible de dessiner la fonction ... \nExpression ou carractère invalide : "+interdit[i]+"")
return false
}
}
}
return true
}
// Cette fonction permet de choisir la méthode d'affichage entre:
// 1) Image au format XPM
// 2) Affichage directe dans sankore
// 3) Autres Méthodes d'affichages (svg ou canvas)
function evaluer(eq){
if(check(eq)){
try{
if(historique[0]!=eq && eq!="1000"){
for(var i=0;i<historique.length;i++){
if(historique[i]==eq){
historique.splice(i, 1)
}
}
historique.unshift(eq)
actualiserHistorique()
}
if(fonction3D){
dessiner3D(eq)
}
else if(document.getElementById("selectMethodeAffichage").value == "xpm"){
evaluerXPM(eq)
}
else if(document.getElementById("selectMethodeAffichage").value == "sankore"){
evaluerUniboard(eq)
}
else if(document.getElementById("selectMethodeAffichage").value == "canvas" || document.getElementById("selectMethodeAffichage").value == "canvas2"){
evaluerCanvas(eq)
}
else{
evaluerSVG(eq)
}
}
catch(err){
afficherMenu("erreurFct")
}
}
}
// ---- Fonctions Mathématiques et constantes ----
// (rempalce sin() par Math.sin(), cos() par Math.cos(), tan() par Math.tan(), etc.
var pi = 4 * atan(1)
var e = exp(1)
function sin(valeur){
return Math.sin(valeur)
}
function cos(valeur){
return Math.cos(valeur)
}
function tan(valeur){
return Math.tan(valeur)
}
function cot(valeur){
return 1/Math.tan(valeur)
}
function sec(valeur){
return 1/cos(valeur)
}
function csc(valeur){
return 1/sin(valeur)
}
function asin(valeur){
return Math.asin(valeur)
}
function acos(valeur){
return Math.acos(valeur)
}
function atan(valeur){
return Math.atan(valeur)
}
function acot(valeur){
return Math.atan(1/valeur)
}
function asec(valeur){
return Math.acos(1/valeur)
}
function acsc(valeur){
return Math.asin(1/valeur)
}
var arcsin = asin
var arccos = acos
var arctan = atan
var arccot = acot
var arcsec = asec
var arccsc = acsc
function sinh(valeur){
return (Math.exp(valeur)-Math.exp(-valeur))/2
}
function cosh(valeur){
return (Math.exp(valeur)+Math.exp(-valeur))/2
}
function tanh(valeur){
return (Math.exp(valeur)-Math.exp(-valeur))/(Math.exp(valeur)+Math.exp(-valeur))
}
function coth(valeur){
return (Math.exp(valeur)+Math.exp(-valeur))/(Math.exp(valeur)-Math.exp(-valeur))
}
function sech(valeur){
return 1/cosh(valeur)
}
function csch(valeur){
return 1/sinh(valeur)
}
function asinh(valeur){
return Math.log(valeur+Math.sqrt(Math.pow(valeur,2)+1))
}
function acosh(valeur){
return Math.log(valeur+Math.sqrt(Math.pow(valeur,2)-1))
}
function atanh(valeur){
return Math.log((1+valeur)/(1-valeur))/2
}
function acoth(valeur){
return Math.log((valeur+1)/(valeur-1))/2
}
var arcsinh = asinh
var arccosh = acosh
var arctanh = atanh
var arccoth = acoth
function sqrt(valeur){
return Math.sqrt(valeur)
}
function pow(valeur1, valeur2){
return Math.pow(valeur1, valeur2)
}
function root(valeur1, valeur2){
if(valeur2%2==1 && valeur1<0){
return -Math.pow(-valeur1, (1/valeur2))
}
else{
return Math.pow(valeur1, (1/valeur2))
}
}
function exp(valeur){
return Math.exp(valeur)
}
function log(valeur){
return Math.log(valeur)/Math.log(10)
}
function ln(valeur){
return Math.log(valeur)
}
function abs(valeur){
return Math.abs(valeur)
}
function sign(valeur){
if(valeur<0){
return -1
}
else if(valeur>0){
return 1
}
else{
return undefined
}
}
function round(valeur){
return Math.round(valeur)
}
function ceil(valeur){
return Math.ceil(valeur)
}
function floor(valeur){
return Math.floor(valeur)
}
function random(){
return Math.random()
}
// ]]>
</script>
</head>
<body onload="evaluer(1000);checkCouleurs3D();loadOptions();majAuto()" onkeypress="keyPress(event)">
<!-- ..... Haut du Widget ..... -->
<span id="haut">
<span id="texteFonction">Function: </span><input id="inputEq" onkeypress='if(event.keyCode==13) evaluer(this.value)' onkeyup="document.getElementById('fonctionActuelle').innerHTML = this.value"/>
<input type="button" onclick='evaluer(document.getElementById("inputEq").value)' value="Display"/><input type="button" style="width:21px;" onclick="menuFonctions()" value="+"/>
</span>
<!--<div id="miniMax" onclick="miniMax()">-</div> ▶▼ -->
<div id="boutonAgrandir" class="miniBouton" onclick="agrandirAffichage()">^</div>
<!--<div id="boutonFermer" class="miniBouton" onclick="close()"></div>-->
<br/>
<!-- ..... Millieu du Widget ..... -->
<!-- Zone d'affichage -->
<div id="affichage" onmousedown="sourisDown()" onmouseup="sourisUp()" onmousemove="sourisMove(event)" ondblclick="doubleClick(event.ctrlKey)"></div>
<!-- Zone de boutons gauche -->
<div id="gauche">
<span id="xAxis">X-axis:</span> <br/>
<input id="borneXGauche" class="smallInput" value="-5" onkeypress='if(event.keyCode==13) actualiserGraph()'/> ... <input id="borneXDroite" class="smallInput" value="5" onkeypress='if(event.keyCode==13) actualiserGraph()'/> <br/>
<span id="yAxis">Y-axis:</span> <br/>
<input id="borneYGauche" class="smallInput" value="-5" onkeypress='if(event.keyCode==13) actualiserGraph()'/> ... <input id="borneYDroite" class="smallInput" value="5" onkeypress='if(event.keyCode==13) actualiserGraph()'/>
<br/><span id="scaleZoom">Zoom:</span> <br/>
<input type="button" style="width:45%;" onclick='zoom(1.25)' value="-"/><input type="button" style="width:45%; position:relative; left: 9px;" onclick='zoom(0.8)' value="+"/><br/><br/>
<span id="graphColor">Color:</span> <br/>
<div id="buttonColor" title="couleurFonction" onclick="colorPicker(this.id); afficherMenu('menuCouleur')"></div>
<br/><br/>
<hr/>
<br/>
Menus:
<input type="button" class="boutonGauche" onclick='document.getElementById("etudeFct").innerHTML = document.getElementById("inputEq").value;afficherMenu("menuOutils")' value="Tools"/>
<input type="button" class="boutonGauche" onclick='afficherMenu("menuOptions")' value="Options"/>
<input type="button" class="boutonGauche" onclick='afficherMenu("menuAide")' value="Help"/>
<input type="button" class="boutonGauche" onclick='afficherMenu("menuCredits")' value="About"/>
<!-- ..... Menus ..... -->
<div id="menu" class="menu">
<div id="contenuMenu" class="contenuMenu"></div>
<div class="barreBasMenu">
<input type="button" onclick='cacherMenu()' value="Cancel"/>
</div>
</div>
</div>
<div id="gauche3D">
<input type="button" class="boutonGauche3D" onclick='afficherMenu("menuCredits")' value="About"/>
<input type="button" class="boutonGauche3D" onclick='afficherMenu("menuAide")' value="Help"/>
<input type="button" class="boutonGauche3D" onclick='afficherMenu("menuOptions")' value="Options"/>
<input type="button" style="width:30px;" onclick='zoom3D(0.8)' value="-"/><input type="button" style="width:30px;" onclick='zoom3D(1.25)' value="+"/>
</div>
<!-- Options -->
<div id="menuOptions" class="menu">
<table class="ongletMenu">
<tr>
<td class="ongletMenuActuel" onclick='afficherMenu("menuOptions")'>Widget</td>
<td onclick='afficherMenu("menuOptions2D")'>2D</td>
<td onclick='afficherMenu("menuOptions3D")'>3D</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<h3>Widget options</h3>
<span>Themes of widget:</span> <select id="selectTheme" onchange="changerTheme(this.value)">
<option value="noir">Black</option>
<option value="bleu">Blue</option>
<option value="blanc">White</option>
</select><br/>
<br/><br/><br/>
<span class="gras">Control options:</span><br/>
<input type="button" class="boutonSauvegarde" onclick="saveOptions()" value="Save"/><input type="button" class="boutonSauvegarde" onclick="loadOptions()" value="Load"/> <input class="boutonSauvegarde2" type="button" onclick="delOptions()" value="Delete"/><input class="boutonSauvegarde2" type="button" onclick="alertOptions()" value="Display"/><br/>
<span class="texteSecondaire">Save a widget options in cookies or load an options from cookies or delete a registered options.</span>
<br/>
<div id="cacheCookies"><br/><br/><h1>Cookies are disabled. You cannot save an options...</h1></div>
<div id="cacheMaJ">You are using the last version of this widget.</div>
<input type="button" onclick='reset()' value="Reload widget" style="position:absolute; bottom:20px; width:140px; height:32px;"/>
</div>
<div class="barreBasMenu"><input type="button" onclick="cacherMenu(); actualiserGraph()" value="Check"/></div>
</div>
<div id="menuOptions2D" class="menu">
<table class="ongletMenu">
<tr>
<td onclick='afficherMenu("menuOptions")'>Widget</td>
<td class="ongletMenuActuel" onclick='afficherMenu("menuOptions2D")'>2D</td>
<td onclick='afficherMenu("menuOptions3D")'>3D</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<h3>Options 2D</h3>
<span>The graphical method displaying:</span><select id="selectMethodeAffichage">
<option value="canvas">canvas (lines)</option>
<option value="canvas2">canvas (points)</option>
<option value="svg">svg</option>
<option value="svg2">svg (1 image)</option>
<option value="xpm">xpm</option>
<option value="sankore">sankore</option>
</select> <br/>
<span>Zoom default:</span>
<input value="5" class="smallInput" id="zoomDefaut"/>
<input type="button" onclick='reinitialiserZoom(document.getElementById("zoomDefaut").value)' value="Update zoom"/> <br/>
<br/>
<input type="checkbox" id="checkGrille" checked="true" onclick="actualiserGraph()"/><label for="checkGrille">Show grid</label> <br/>
<input type="checkbox" id="checkAxes" checked="true" onclick="actualiserGraph()"/><label for="checkAxes">Show axis</label> <br/>
<input type="checkbox" id="checkEchelle" checked="true" onclick="actualiserGraph()"/><label for="checkEchelle">Scale</label> <br/>
<span>Thickness:</span> <input id="inputTaille" class="smallInput" value="3" onkeypress='if(event.keyCode==13) actualiserGraph()' style=""/>
<div class="boutonPlus" type="button" onclick="boutonPlus('inputTaille', 1); actualiserGraph()">+</div><div class="boutonMoins" type="button" onclick="boutonMoins('inputTaille', 1); actualiserGraph()">-</div> <br/>
<br/>
<span>Offset diagram:</span>
x=<input value="0" class="smallInput" id="inputDecalageX" onkeyup="decalageX = parseFloat(this.value)"/>
y=<input value="0" class="smallInput" id="inputDecalageY" onkeyup="decalageY = parseFloat(this.value)"/>
<br/>
<span>Accuracy graph:</span>
<input value="0.02" class="smallInput" id="inputPrecision" onkeyup="precision = parseFloat(this.value)"/>
<div class="boutonPlus" type="button" onclick="boutonPlus('inputPrecision', 0.01); precision = parseFloat(document.getElementById('inputPrecision').value); actualiserGraph()">+</div><div class="boutonMoins" type="button" onclick="boutonMoins('inputPrecision', 0.01); precision = parseFloat(document.getElementById('inputPrecision').value); actualiserGraph()">-</div> <br/>
<br/>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu(); actualiserGraph()' value="Check"/></div>
</div>
<div id="menuOptions3D" class="menu">
<table class="ongletMenu">
<tr>
<td onclick='afficherMenu("menuOptions")'>Widget</td>
<td onclick='afficherMenu("menuOptions2D")'>2D</td>
<td class="ongletMenuActuel" onclick='afficherMenu("menuOptions3D")'>3D</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<h3>Options 3D</h3>
<span>Show the style:</span>
<select id="selectAffichage3D">
<option value="surfaces"> surfaces </option>
<option value="points"> points </option>
</select> <input type="button" onclick='reinitialiserZoom(5)' value="Reset display"/> <br/>
<br/>
<span>Accuracy function:</span> <input value="0.2" class="smallInput" id="inputPrecision3D" onkeyup="precisionFonction3D = parseFloat(this.value)"/>
<div class="boutonPlus" type="button" onclick="boutonPlus('inputPrecision3D', 0.1); precisionFonction3D = parseFloat(document.getElementById('inputPrecision3D').value); actualiserGraph()">+</div><div class="boutonMoins" type="button" onclick="boutonMoins('inputPrecision3D', 0.1); precisionFonction3D = parseFloat(document.getElementById('inputPrecision3D').value); actualiserGraph()">-</div> <br/>
<br/>
<span>Use the color:</span><br/>
<span>red:</span>
<select onchange="checkCouleurs3D()" id="selectRouge3D">
<option value="plus">positive value</option>
<option value="moins">negative value</option>
<option value="tout">general value</option>
</select>
<br/>
<span>green:</span>
<select onchange="checkCouleurs3D()" id="selectVert3D">
<option value="moins">negative value</option>
<option value="plus">positive value</option>
<option value="tout">general value</option>
</select>
<br/>
<span>blue:</span>
<select onchange="checkCouleurs3D()" id="selectBleu3D">
<option value="tout">general value</option>
<option value="plus">positive value</option>
<option value="moins">negative value</option>
</select>
<br/>
<span>General value:</span> <input class="smallInput" id="couleur3Dgenerale" type="texte" value="0" onkeyup="checkCouleurs3D()"/> (<span>from</span> 0 <span>to</span> 255)
<br/>
<span id="apercuCouleur3D"></span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu(); actualiserGraph()' value="Check"/></div>
</div>
<!-- Aide -->
<div id="menuAide" class="menu">
<table class="ongletMenu">
<tr>
<td class="ongletMenuActuel" onclick='afficherMenu("menuAide")'>Using</td>
<td onclick='afficherMenu("menuAideExemples")'>Examples</td>
<td onclick='afficherMenu("menuAideAutres")'>Other</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<h1>How it work.</h1>
<p><span>This widget allow to draw mathematical function. Enter function in the field in the top part of widget and press "Show".</span></p>
<p><span>You can enter following mathematical function:</span><br/>
<h2>Basic operations</h2>
<ul>
<li><span>Plus</span> -> <span class="gras">+</span></li>
<li><span>Minus</span> -> <span class="gras">-</span></li>
<li><span>Multiplication</span> -> <span class="gras">*</span></li>
<li><span>Division</span> -> <span class="gras">/</span></li>
<li><span>Mod</span> -> <span class="gras">%</span></li>
</ul>
<h2>Trigonometric functions</h2>
<ul>
<li><span>Sine</span> -> <span class="gras">sin(x)</span></li>
<li><span>Cosine</span> -> <span class="gras">cos(x)</span></li>
<li><span>Tangent</span> -> <span class="gras">tan(x)</span></li>
<li><span>Cotangent</span> -> <span class="gras">cot(x)</span></li>
<li><span>Secant</span> -> <span class="gras">sec(x)</span></li>
<li><span>Cosecant</span> -> <span class="gras">csc(x)</span></li>
</ul>
<ul>
<li><span>Arc sine</span> -> <span class="gras">arcsin(x)</span> <span>or</span> <span class="gras">asin(x)</span></li>
<li><span>Arc cosine</span> -> <span class="gras">arccos(x)</span> <span>or</span> <span class="gras">acos(x)</span></li>
<li><span>Arc tangent</span> -> <span class="gras">arctan(x)</span> <span>or</span> <span class="gras">atan(x)</span></li>
<li><span>Arc cotangent</span> -> <span class="gras">arccot(x)</span> <span>or</span> <span class="gras">acot(x)</span></li>
</ul>
<h2>Hyperbolic functions</h2>
<ul>
<li><span>Hyperbolic sine</span> -> <span class="gras">sinh(x)</span></li>
<li><span>Hyperbolic cosine</span> -> <span class="gras">cosh(x)</span></li>
<li><span>Hyperbolic tangent</span> -> <span class="gras">tanh(x)</span></li>
<li><span>Hyperbolic cotangent</span> -> <span class="gras">coth(x)</span></li>
<li><span>Hyperbolic secant</span> -> <span class="gras">sech(x)</span></li>
<li><span>Hyperbolic cosecant</span> -> <span class="gras">csch(x)</span></li>
</ul>
<ul>
<li><span>Hyperbolic arc sine</span> -> <span class="gras">arcsinh(x)</span> <span>or</span> <span class="gras">asinh(x)</span></li>
<li><span>Hyperbolic arc cosine</span> -> <span class="gras">arccosh(x)</span> <span>or</span> <span class="gras">acosh(x)</span></li>
<li><span>Hyperbolic arc tangent</span> -> <span class="gras">arctanh(x)</span> <span>or</span> <span class="gras">atanh(x)</span></li>
<li><span>Hyperbolic arc cotangent</span> -> <span class="gras">arccoth(x)</span> <span>or</span> <span class="gras">acoth(x)</span></li>
</ul>
<h2>Square roots and degrees</h2>
<ul>
<li><span>Square root</span> -> <span class="gras">sqrt(x)</span></li>
<li><span>Degree</span> -> <span class="gras">pow(x, y)</span> <span class="texteSecondaire">Variable x to the power y</span></li>
<li><span>Root</span> -> <span class="gras">root(x, y)</span> <span class="texteSecondaire">Root y of x</span></li>
</ul>
<h2>Exponential and logarithm</h2>
<ul>
<li>e<span style="vertical-align:super;">x</span> -> <span class="gras">exp(x)</span></li>
<li><span>Natural logarithm</span> -> <span class="gras">ln(x)</span></li>
<li><span>Decimal logarithm</span> -> <span class="gras">log(x)</span></li>
</ul>
<h2>Absolute number value</h2>
<ul>
<li>|x| -> <span class="gras">abs(x)</span></li>
</ul>
<h2>Rounding</h2>
<ul>
<li><span class="gras">round(x)</span> -> <span>rounding to the nearest whole number</span></li>
<li><span class="gras">ceil(x)</span> -> <span>rounding to the nearest whole number in a big way</span></li>
<li><span class="gras">floor(x)</span> -> <span>rounding to the nearest whole number the smaller side</span></li>
</ul>
</p> <br/>
<hr/>
<h1>Constants</h1>
<p><span>Also are available some constants:</span><br/>
<ul>
<li><span class="gras">pi</span> = 4 * atan(1) ≈ 3,141592653589793</li>
<li><span class="gras">e</span> = exp(1) ≈ 2.718281828459045</li>
</ul>
</p>
<br/>
<hr/>
<h1>Keyboard keys</h1>
<p style="font-size:90%;">
esc -> <span>reset widget</span> <br/>
ctrl + <span>left arrow</span> -> <span>graph will be moved left</span><br/>
ctrl + <span>top arrow</span> -> <span>graph will be moved top</span><br/>
ctrl + <span>right arrow</span> -> <span>graph will be moved right</span><br/>
ctrl + <span>bottom arrow</span> -> <span>graph will be moved bottom</span><br/>
<br/>
</p>
<br/>
<input type="button" value="User's guide" onclick="navigateur('Guide_Utilisateur.html')" style="position:absolute;bottom:0px;left:0px;"/>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<div id="menuAideExemples" class="menu">
<table class="ongletMenu">
<tr>
<td onclick='afficherMenu("menuAide")'>Using</td>
<td class="ongletMenuActuel" onclick='afficherMenu("menuAideExemples")'>Examples</td>
<td onclick='afficherMenu("menuAideAutres")'>Other</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<span class="texteSecondaire">(You can view example. Do not forget to set accuracy in options if necessary.)</span>
<br/><br/>
<hr/>
<h1>Functions 2D</h1>
<p>
<span class="survol" onclick="document.getElementById('inputEq').value = '0.5*x+1' ; actualiserGraph()">0.5*x+1</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'pow(x,2)-3' ; actualiserGraph()">pow(x,2)-3</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = '1/x' ; actualiserGraph()">1/x</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'atan(x)' ; actualiserGraph()">atan(x)</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = '(x+1/x)/1.2' ; actualiserGraph()">(x+1/x)/1.2</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'sin(10*x*x)*0.5' ; actualiserGraph()">sin(10*x*x)*0.5</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'log(pow(x-2,2))' ; actualiserGraph()">log(pow(x-2,2))</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = '(x*x-5*x+5)*exp(x)/5' ; actualiserGraph()">(x*x-5*x+5)*exp(x)/5</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'random()' ; evaluer('random()')">random()</span> <br/>
</p>
<br/><br/>
<hr/>
<h1>Functions 3D</h1>
<p>
<span class="survol" onclick="document.getElementById('inputEq').value = 'sin(x)+cos(y)' ; actualiserGraph()">sin(x)+cos(y)</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'sqrt(10-x*x)' ; actualiserGraph()">sqrt(10-x*x)</span> <br/>
<span class="survol" onclick="document.getElementById('inputEq').value = 'atan(x)+atan(y)' ; actualiserGraph()">atan(x)+atan(y)</span> <br/>
</p>
<br/>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<div id="menuAideAutres" class="menu">
<table class="ongletMenu">
<tr>
<td onclick='afficherMenu("menuAide")'>Using</td>
<td onclick='afficherMenu("menuAideExemples")'>Examples</td>
<td class="ongletMenuActuel" onclick='afficherMenu("menuAideAutres")'>Other</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<h4>Save graph</h4>
<span>In some browsers when used display method "Canvas" you can save graph by clicking it with right mouse button and selecting "Save image". Also you can save 3D-graphs.</span>
<br/><br/>
<h4>Offset</h4>
<span>If graph isn't in the right place (larger than canvas) then can you set necessary parameters graph displaying in settings menu.</span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!-- Crédits -->
<div id="menuCredits" class="menu">
<div class="contenuMenu" style="text-align:justify;">
<br/>
<table id="credits">
<tr>
<td>
<img src="icon.png"/>
<h3>Widget is developed by</h3>
Yannick Vessaz <br/>
<a href='mailto:yannick.vessaz@gmail.com'>yannick.vessaz@gmail.com</a>
</td>
</tr>
</table>
<span class="texteSecondaire">
<br/><br/>
<span>If you want to inform about bug, make a proposal or just ask some questions then you can contact to me at the following e-mail:</span> <a href='mailto:yannick.vessaz@gmail.com'>e-mail</a>.
<br/><br/>
<span>If you want to change background design then you can contact at following address:</span> <a href="http://kde.org">KDE</a>.
</span>
<span id="version" class="texteSecondaire" style="position:absolute;bottom:10px;left:15px;">version 1.3</span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!-- Outils -->
<div id="menuOutils" class="menu">
<div class="contenuMenu">
<h3 style="margin-top:0px; margin-bottom:15px;">Tools</h3>
<span>Mouse events:</span><br/>
<input type="button" class="choixOutil" onclick="choixOutil('deplacement');cacherMenu()" value="Moving"/>
<input type="button" class="choixOutil" onclick="choixOutil('tangente');cacherMenu()" value="Tangente"/>
<input type="button" class="choixOutil" onclick="choixOutil('point');cacherMenu()" value="Point"/>
<br/><br/>
<span>Derivative:</span><br/>
<label for="checkDerivee"> f'(x) </label><input type="checkbox" id="checkDerivee" onclick="actualiserGraph()"/><label for="checkDerivee2"> f''(x) </label><input type="checkbox" id="checkDerivee2" onclick="actualiserGraph()"/>
<br/><br/>
<span>Square under function:</span><br/>
<span>From</span> <input value="-5" class="smallInput" id="aireG"/> <span>to</span> <input value="5" class="smallInput" id="aireD"/> <input type="button" onclick='calculerAire()' value="Calculate"/> <span id="outputAire"></span>
<div style="float: right;"><label for="checkAire">Draw </label><input type="checkbox" id="checkAire" onclick="actualiserGraph()"/></div>
<br/><br/>
<span>Calculate the point on the function:</span><br/>
x=<input value="0" class="smallInput" id="inputX" onkeypress='if(event.keyCode==13) execute(document.getElementById("inputEq").value)'/>
<input type="button" onclick='execute(document.getElementById("inputEq").value)' value="Estimate"/>
<span id="outputX"></span>
<br/><br/>
<span>Analysis of function:</span> <br/>
f(x) = <span id="etudeFct"></span> <input type="button" value="Start to analysis" onclick='etudier(document.getElementById("inputEq").value);afficherMenu("menuEtude")'/>
<br/><br/>
<span>Display test:</span><br/>
<input type="button" onclick='cacherMenu(); testXPM()' value="Test XPM"/><input type="button" onclick='cacherMenu(); testSVG()' value="Test SVG"/><input type="button" onclick='cacherMenu(); testCanvas()' value="Test Canvas"/>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!--Etude de fonction -->
<div id="menuEtude" class="menu">
<div class="contenuMenu">
<h3>Analysis of function</h3>
<span>Set of definitions:</span> <span id="etudeEDF">...</span> <br/>
<span>Parity:</span> <span id="etudeParite">...</span> <br/>
<span>Zeros of functions:</span> <span id="etudeZeros">...</span> <br/>
<table>
<tr id="etudeSigne">
<td>Sign : ...</td>
</tr>
</table>
<span>Asymptotes</span> <br/>
<span>AH left:</span> : <span id="etudeAHG">...</span> <br/>
<span>AH right:</span> <span id="etudeAHD">...</span> <br/>
<span>AV:</span> <span id="etudeAV">...</span>
<span id="etudeMin">...</span>
<span id="etudeMax">...</span>
<span id="etudeI">...</span> <br/><br/>
<span class="texteSecondaire" style="font-size:10px;">Tool for analysis of function is not reliable on 100%. Don't forget check results of analysis before use it.</span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!-- Fonctions multiples -->
<div id="menuFonctions" class="menu">
<table class="ongletMenu">
<tr>
<td class="ongletMenuActuel" onclick='afficherMenu("menuFonctions")'>Functions</td>
<td onclick='afficherMenu("menuHistorique")'>History</td>
</tr>
</table>
<div class="contenuMenu avecBordures">
<em>Current</em><br/>
f(x) = <span id="fonctionActuelle">x</span> <input type="button" value="+" onclick="ajouterFonction(document.getElementById('fonctionActuelle').innerHTML)"/>
<br/><br/>
<em>Additional</em><br/>
<span id="fonctionsSupp">n/a ...</span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!-- Historique -->
<div id="menuHistorique" class="menu">
<table class="ongletMenu">
<tr>
<td onclick='afficherMenu("menuFonctions")'>Functions</td>
<td class="ongletMenuActuel" onclick='afficherMenu("menuHistorique")'>History</td>
</tr>
</table>
<div class="contenuMenu avecBordures" id="divHistorique">
<span id="spanHistorique"></span>
</div>
<div class="barreBasMenu"><input type="button" onclick='cacherMenu()' value="Cancel"/></div>
</div>
<!-- Couleur -->
<div id="menuCouleur" class="menu">
<div class="contenuMenu">
<em>Choosing the color:</em> <br/><br/>
<div id="colorSV" onmousemove="if(mouseDown==true){colorSV(event)}" onmousedown="colorSV(event); mouseDown = true" onmouseup="mouseDown = false">
<svg:svg width="100%" height="100%" version="1.1" xmlns="http://www.w3.org/2000/svg">
<svg:defs id="defs1">
<svg:linearGradient id="linearGradient1" x1="0%" y1="0%" x2="100%" y2="0%">
<svg:stop
style="stop-color:#000000;stop-opacity:1;"
offset="0%" />
<svg:stop
style="stop-color:#000000;stop-opacity:0;"
offset="100%" />
</svg:linearGradient>
<svg:linearGradient id="linearGradient2" x1="0%" y1="0%" x2="0%" y2="100%">
<svg:stop
style="stop-color:#ffffff;stop-opacity:0;"
offset="0%" />
<svg:stop
style="stop-color:#ffffff;stop-opacity:1;"
offset="100%" />
</svg:linearGradient>
</svg:defs>
<svg:rect
style="fill:url(#linearGradient2);fill-rule:evenodd;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;fill-opacity:1"
width="255"
height="255"
x="0"
y="0"
ry="0" />
<svg:rect
style="fill:url(#linearGradient1);fill-rule:evenodd;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;fill-opacity:1"
width="255"
height="255"
x="0"
y="0"
ry="0" />
<svg:line
id="ligneValeur"
x1="255"
y1="0"
x2="255"
y2="255"
style="stroke:rgb(0,0,0);stroke-width:2"/>
<svg:line
id="ligneSaturation"
x1="0"
y1="0"
x2="255"
y2="0"
style="stroke:rgb(0,0,0);stroke-width:2"/>
</svg:svg>
</div>
<div id="colorT" onmousemove="if(mouseDown==true){colorT(event)}" onmousedown="colorT(event); mouseDown = true" onmouseup="mouseDown = false">
<svg:svg width="100%" height="100%" version="1.1" xmlns="http://www.w3.org/2000/svg">
<svg:defs id="defs2">
<svg:linearGradient id="linearGradient3" x1="0%" y1="100%" x2="0%" y2="0%">
<svg:stop
style="stop-color:#ff0000;stop-opacity:1;"
offset="0%" />
<svg:stop
style="stop-color:#ff00ff;stop-opacity:1;"
offset="16.66%" />
<svg:stop
style="stop-color:#0000ff;stop-opacity:1;"
offset="33.33%" />
<svg:stop
style="stop-color:#00ffff;stop-opacity:1;"
offset="50%" />
<svg:stop
style="stop-color:#00ff00;stop-opacity:1;"
offset="66.66%" />
<svg:stop
style="stop-color:#ffff00;stop-opacity:1;"
offset="83.33%" />
<svg:stop
style="stop-color:#ff0000;stop-opacity:1;"
offset="100%" />
</svg:linearGradient>
</svg:defs>
<svg:rect
style="fill:url(#linearGradient3);fill-rule:evenodd;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;fill-opacity:1"
width="255"
height="255"
x="0"
y="0"
ry="0" />
<svg:line
id="ligneTeinte"
x1="0"
y1="0"
x2="20"
y2="0"
style="stroke:rgb(0,0,0);stroke-width:2"/>
</svg:svg>
</div>
<table id="colorValues">
<tr>
<td>Color: </td><td><input id="inputTeinte" class="smallInput" value="0" onkeypress=''/></td>
</tr><tr>
<td>Value: </td><td><input id="inputValeur" class="smallInput" value="0" onkeypress=''/></td>
</tr><tr>
<td>Saturation: </td><td><input id="inputSaturation" class="smallInput" value="0" onkeypress=''/></td>
</tr><tr>
<td>Red: </td><td><input id="inputRouge" class="smallInput" value="255" onkeypress=''/></td>
</tr><tr>
<td>Green: </td><td><input id="inputVert" class="smallInput" value="0" onkeypress=''/></td>
</tr><tr>
<td>Blue: </td><td><input id="inputBleu" class="smallInput" value="0" onkeypress=''/></td>
</tr><tr>
<td>Opacity: </td><td><input id="inputOpacity" class="smallInput" value="1" onkeypress=''/></td>
</tr><!--<tr>
<td><input id="inputCouleur" style="width: 70%" value="cyan" onkeypress='couleurFonction = this.value; if(event.keyCode==13) actualiserGraph()'/></td>
</tr>-->
</table>
<div id="apercuCouleur" title="New Color"></div><div id="apercuCouleur2" title="Old Color"></div>
</div>
<div class="barreBasMenu"><input type="button" onclick="if(idColor=='buttonColor'){cacherMenu()}else{afficherMenu('menuFonctions')}; actualiserGraph()" value="Check"/></div>
</div>
<!-- Erreurs Fonctions interdites -->
<div id="fctInterdite" class="miniMenu">
<br/>
<h1>------- Error -------</h1>
<br/>
Impossible to draw the function ...
<br/><br/>
Error in expression or unexpected char: <br/>
<span id="spanFctInterdite" style="font-style:italic;"></span>
<br/><br/>
<input type="button" onclick="cacherMenu()" value="Ok"/>
</div>
<!-- Autres erreurs -->
<div id="erreurFct" class="miniMenu">
<h1>------- Error -------</h1>
Runtime error! Check your function and try to draw it again.
<br/>
Description and parameters various functions which are available to help.
<br/><br/>
<input type="button" onclick="afficherMenu('menuAide')" value="Help"/>
<input type="button" onclick="cacherMenu()" value="Ok"/>
</div>
<!-- Menu des mises à jour -->
<div id="mAj" class="menu">
<h1>Updated</h1>
<span>Current version:</span> <br/><span id="thisVersion"></span><br/>
<span>The last on-line version:</span> <br/><span id="newVersion"></span><br/>
<br/>
<span>This widget is available to using on web-site:</span> <em>http://gyb.educanet2.ch/tm-widgets/yannick</em><br/>
<br/>
</div>
<!-- Erreur mise à jour -->
<div id="erreurMaJ" class="miniMenu">
<br/>
<h1>------- Error -------</h1>
<br/><br/>
Update to latest version is not available because you already use the latest version.
<br/><br/><br/>
<input type="button" onclick="cacherMenu()" value="Ok"/>
</div>
<!-- Info options sauvegardées -->
<div id="infoSauvegarde" class="alertMenu">
<br/>
<h1>Options saved!</h1>
<br/>
<input type="button" onclick="document.getElementById('infoSauvegarde').style.display = 'none'" value="Ok"/>
</div>
<!-- ..... Flèches de déplacement ..... -->
<div class="flecheDeplacement" id="flecheHaut" onclick="if(fonction3D){zoom3D(1.25)}else{deplacerY(1)}" onmousemove="sourisMove(event)"></div>
<div class="flecheDeplacement" id="flecheGauche" onclick="deplacerX(-1)" onmousemove="sourisMove(event)"></div>
<div class="flecheDeplacement" id="flecheBas" onclick="if(fonction3D){zoom3D(0.8)}else{deplacerY(-1)}" onmousemove="sourisMove(event)"></div>
<div class="flecheDeplacement" id="flecheDroite" onclick="deplacerX(1)" onmousemove="sourisMove(event)"></div>
<!-- ..... Bas du Widget ..... -->
<div class="info" id="info"></div>
<div id="point">o</div>
<div id="tangente"></div>
<!-- .... Autres .... -->
<div id="onglet3D" onclick="activer3D()">3D</div>
</body>
<!-- .............................. Widget réalisé par Yannick Vessaz .............................. -->
<!-- .............................. e-mail: yannick.vessaz@gmail.com .............................. -->
</html>