/*
 Joel Espinosa Longi
 jlongi@im.unam.mx
 https://github.com/jlongi/DescartesJS
 LGPL - http://www.gnu.org/licenses/lgpl.html
 2016-07-15
*/
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return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.sin,e=Math.floor,d=Math.random,l=Math.round,c=Math.abs,h=String.fromCharCode,k,b,v,u,n,r,p,x,f,q;a.Krypto=function(a){this.key=(a||0).toString()};a.Krypto.prototype.getKey=function(a){k=[];for(var b=0;256>b;b++)k[b]=h(this.alfanum(e(c(7.5*(g(1*b-a)+g(1.4*b+a)+g(.6*b-a)+g(2.2*b+a))))));return k.join("")};a.Krypto.prototype.encode=function(a){b=e(31*d());this.key=this.getKey(b);return h(this.alfanum(b))+this.encripta(a)};
a.Krypto.prototype.decode=function(a){b=this.numalfa(a.charCodeAt(0));this.key=this.getKey(b);return this.desencripta(a.substring(1))};a.Krypto.prototype.encripta=function(a){return this.bytesToString(this.encriptaAux(this.stringToBytes(a)))};a.Krypto.prototype.encriptaAux=function(a){if(null==a||null==this.key)return null;r=Array(3*a.length);for(var b=0,c=a.length;b<c;b++)f=256*e(a[b]+128)+l(255*d())+65536*l(255*d()),q=e((f<<this.shift(b))/256),r[3*b]=this.alfanum(q%32),r[3*b+1]=this.alfanum(q/32%
32),r[3*b+2]=this.alfanum(q/1024%32);return r};a.Krypto.prototype.desencripta=function(a){return this.bytesToString(this.desencriptaAux(this.stringToBytes(a)))};a.Krypto.prototype.desencriptaAux=function(a){if(null==a||null==this.key)return null;p=Array(a.length/3);for(var b=0,c=p.length;b<c;b++)q=this.numalfa(a[3*b])+32*this.numalfa(a[3*b+1])+1024*this.numalfa(a[3*b+2]),f=e(256*q>>this.shift(b)),x=e(f/256)%256-128,0>x&&(x+=256),p[b]=x;return p};a.Krypto.prototype.alfanum=function(a){a=e(a);return 10>
a?48+a:87+a};a.Krypto.prototype.numalfa=function(a){return 58>a?a-48:a-87};a.Krypto.prototype.stringToBytes=function(a){u=Array(a.length);for(var b=0,f=a.length;b<f;b++)u[b]=a.charCodeAt(b);return u};a.Krypto.prototype.bytesToString=function(a){for(var b=0,f=a.length;b<f;b++)a[b]=h(a[b]);return a.join("")};a.Krypto.prototype.shift=function(a){v=this.key.charCodeAt(a%this.key.length);u=this.numalfa(v);n=e(u/2%8);0==n&&(n=4);return n};a.Krypto.prototype.parseByte=function(a){a=parseInt(a);a=0>a?0:a;
return 255<a?255:a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.max;a.Animation=function(e,d){this.parent=e;var g=e.evaluator,c=g.parser,h=new a.Auxiliary(e),k=this;k.delay=d.delay?c.parse(d.delay):c.parse("60");k.loop=d.loop?d.loop:!1;k.auto=void 0==d.auto?!0:d.auto;k.controls=d.controls;k.init=h.splitInstructions(c,d.init);k.doExpr=h.splitInstructions(c,d.doExpr);d.whileExpr&&(k.whileExpr=c.parse(d.whileExpr));var b,v=k.doExpr.length;k.animExec=function(){for(b=
0;b<v;b++)g.eval(k.doExpr[b]);k.parent.update();k.playing&&(0<g.eval(k.whileExpr)||k.loop)?k.timer=a.setTimeout(k.animExec,g.eval(k.delay)):(k.stop(),k.pause=!1,k.parent.update())};k.playing=!1;k.auto&&k.play()};a.Animation.prototype.play=function(){this.playing?(this.pause=!0,this.stop()):(this.pause||this.reinit(),this.playing=!0,this.pause=!1,this.timer=a.setTimeout(this.animExec,g(10,this.parent.evaluator.eval(this.delay))))};a.Animation.prototype.stop=function(){this.playing=!1;a.clearTimeout(this.timer)};
a.Animation.prototype.reinit=function(){for(var a=0,d=this.init.length;a<d;a++)this.parent.evaluator.eval(this.init[a])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Action=function(a,e){this.parent=a;this.evaluator=this.parent.evaluator};a.Action.prototype.execute=function(){};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Message=function(g,e){a.Action.call(this,g,e);this.parameter=(e||"").replace(/\\n/g,"\n").replace(/&squot;/g,"'")};a.extend(a.Message,
a.Action);a.Message.prototype.execute=function(){alert(this.parameter)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Calculate=function(g,e){a.Action.call(this,g,e);var d=this.evaluator,l=d.parser;e=(e||"").replace(/&squot;/g,"'");e=e.replace(/;/g,"\\n");e=e.split("\\n")||[""];for(var c=[],h,k=0,b=e.length;k<b;k++)(h=l.parse(e[k],!0))&&c.push(h);b=c.length;this.execute=function(){for(k=0;k<b;k++)d.eval(c[k])}};a.extend(a.Calculate,a.Action);return a}(descartesJS||{}),
descartesJS=function(a){if(a.loadLib)return a;a.OpenURL=function(g,e){a.Action.call(this,g,e);this.parameter=e;this.target="_blank";var d=this.parameter.indexOf("target");-1!=d&&(this.target=this.parameter.substring(d),this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,d-1));if("javascript"==this.parameter.substring(0,10)){this.parameter=new a.SimpleText(g,this.parameter.substring(11).replace(/&squot;/g,"'"));var l=this;this.actionExec=function(){try{eval(l.parameter.toString())}catch(a){}}}else"http"!=
this.parameter.substring(0,4)&&(this.parameter=window.location.href.substring(0,window.location.href.lastIndexOf("/")+1)+this.parameter),this.actionExec=function(){window.open(this.parameter,this.target)}};a.extend(a.OpenURL,a.Action);a.OpenURL.prototype.execute=function(){this.actionExec()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.OpenScene=function(g,e){a.Action.call(this,g,e);this.parameter=e;this.target="_blank";var d=this.parameter.indexOf("target");-1!=d&&(this.target=
this.parameter.substring(d),this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,d-1));"javascript"==this.parameter.substring(0,10)?(this.parameter=this.parameter.substring(11).replace(/&squot;/g,"'"),this.actionExec=function(){eval(this.parameter)}):("http://"!=this.parameter.substring(0,7)&&(this.parameter=window.location.href.substring(0,window.location.href.lastIndexOf("/")+1)+this.parameter),this.actionExec=function(){window.open(this.parameter,
this.target,"width="+this.parent.width+",height="+this.parent.height+",left="+(window.screen.width-this.parent.width)/2+", top="+(window.screen.height-this.parent.height)/2+"location=0,menubar=0,scrollbars=0,status=0,titlebar=0,toolbar=0")})};a.extend(a.OpenScene,a.Action);a.OpenScene.prototype.execute=function(){this.actionExec()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Config=function(g,e){a.Action.call(this,g,e)};a.extend(a.Config,a.Action);a.Config.prototype.execute=
function(){this.parent.editor?this.parent.editor.show():window.open("about:blank","_blank","width=800px,height=600px,location=no,menubar=no,scrollbars=yes").document.write("<xmp style='width:100%; height:100%;'><script type='text/javascript' src='http://arquimedes.matem.unam.mx/Descartes5/lib/descartes-min.js'>\x3c/script>\n"+this.parent.applet.outerHTML.replace(/<applet/g,"<ajs").replace(/<\/applet/g,"</ajs")+"</xmp>")};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Init=
function(g,e){a.Action.call(this,g,e)};a.extend(a.Init,a.Action);a.Init.prototype.execute=function(){this.parent.init()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Clear=function(g,e){a.Action.call(this,g,e)};a.extend(a.Clear,a.Action);a.Clear.prototype.execute=function(){this.parent.clear()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Animate=function(g,e){a.Action.call(this,g,e)};a.extend(a.Animate,a.Action);a.Animate.prototype.execute=
function(){this.parent.play()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.InitAnimation=function(g,e){a.Action.call(this,g,e)};a.extend(a.InitAnimation,a.Action);a.InitAnimation.prototype.execute=function(){this.parent.reinitAnimation()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav)/gi;a.PlayAudio=function(e,d){a.Action.call(this,e,d);d&&d.match(g)?this.filenameExpr=this.evaluator.parser.parse("'"+
d.match(g)+"'"):(""!=d&&"["==d[0]&&"]"==d[d.length-1]&&(d=d.substring(1,d.length-1)),this.filenameExpr=this.evaluator.parser.parse(d))};a.extend(a.PlayAudio,a.Action);a.PlayAudio.prototype.execute=function(){var a=this.theAudio=this.parent.getAudio(this.evaluator.eval(this.filenameExpr));a.paused?a.play():(a.pause(),a.currentTime=0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Auxiliary=function(a,e){this.parent=a;this.evaluator=this.parent.evaluator;this.expresion=
this.id="";this.evaluate="onlyOnce";this.local="";for(var c in e)e.hasOwnProperty(c)&&(this[c]=e[c])};a.Auxiliary.prototype.firstRun=function(){};a.Auxiliary.prototype.update=function(){};var g,e;a.Auxiliary.prototype.splitInstructions=function(a,l){e=[];l=l?l.split(";"):[""];for(var c=0,h=l.length;c<h;c++)(g=a.parse(l[c],!0))&&e.push(g);return e};a.Auxiliary.prototype.getPrivateVariables=function(a,l){e=[];l=l?l.split(/;|,/):[""];for(var c=0,h=l.length;c<h;c++)(g=a.parse(l[c],!0))&&e.push(g);c=0;
for(h=e.length;c<h;c++)e[c]="asign"===e[c].type?e[c].childs[0].value:"identifier"===e[c].type?e[c].value:"";return e};a.Auxiliary.prototype.parseExpressions=function(a){this.init=this.splitInstructions(a,this.init);this.privateVars=this.getPrivateVariables(a,this.local);this.doExpr=this.splitInstructions(a,this.doExpr);this.whileExpr=a.parse(this.whileExpr)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Variable=function(g,e){a.Auxiliary.call(this,g,e);var d=this.evaluator.parser;
this.expresionString=this.expresion;(this.expresion=d.parse(this.expresionString))&&d.setVariable(this.id,this.expresion);this.editable&&(this.registerTextField(),this.parent.editableRegionVisible=!0)};a.extend(a.Variable,a.Auxiliary);a.Variable.prototype.registerTextField=function(){var a=document.createElement("div"),e=document.createElement("label");e.appendChild(document.createTextNode("___"+this.id+"=___"));var d=document.createElement("input");d.value=this.expresionString;d.disabled=!this.editable;
a.appendChild(e);a.appendChild(d);var l=this,c=l.evaluator.parser;d.onkeydown=function(a){13==a.keyCode&&(l.expresion=c.parse(this.value),c.setVariable(l.id,l.expresion),l.parent.update())};this.parent.editableRegion.textFields.push({container:a,type:"div"})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Constant=function(g,e){a.Auxiliary.call(this,g,e);this.expresion=this.evaluator.parser.parse(this.expresion);this.update()};a.extend(a.Constant,a.Auxiliary);a.Constant.prototype.update=
function(){this.evaluator.setVariable(this.id,this.evaluator.eval(this.expresion))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d;a.Vector=function(d,c){g=d.evaluator;e=g.parser;this.size=e.parse("3");a.Auxiliary.call(this,d,c);this.expresion=this.expresion.split(";");this.parseFile=e.parse(this.file);this.update()};a.extend(a.Vector,a.Auxiliary);a.Vector.prototype.update=function(){var l=this.expresion;g=this.evaluator;e=g.parser;this.oldFile=this.file;if(d=g.eval(this.parseFile))this.file=
d;var c;if(this.file){c=(vectorElement=document.getElementById(this.file))&&"descartes/vectorFile"==vectorElement.type?vectorElement.text:a.openExternalFile(this.file);if(null!=c){c=c.replace(/\r/g,"").split("\n");for(var h=[],k=0,b=c.length;k<b;k++)""!=c[k]&&h.push(c[k]);c=h}null==c||1==c.length&&""==c[0]?this.size=e.parse("0"):(l=c,this.size=null);null===this.size&&(this.size=e.parse(l.length+""))}c=[];k=0;for(b=l.length;k<b;k++)(h=e.parse(l[k],!0))&&"asign"!=h.type&&(h=e.parse(this.id+"["+k+"]="+
l[k],!0)),c.push(h);l=[];l._size_=g.eval(this.size);k=0;for(b=this._size_;k<b;k++)l.push(0);g.vectors[this.id]=l;g.setVariable(this.id+".long",l._size_);k=0;for(b=c.length;k<b;k++)g.eval(c[k])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Matrix=function(g,e){var d=g.evaluator,l=d.parser;this.rows=l.parse("3");this.columns=l.parse("3");a.Auxiliary.call(this,g,e);this.expresion=this.splitInstructions(l,this.expresion);var l=d.eval(this.rows),c=d.eval(this.columns),h=[];
h.type="matrix";for(var k,b=0;b<c;b++){k=[];for(var v=0,u=l;v<u;v++)k.push(0);h[b]=k}d.matrices[this.id]=h;this.update()};a.extend(a.Matrix,a.Auxiliary);a.Matrix.prototype.update=function(){var a=this.evaluator,e=a.eval(this.rows),d=a.eval(this.columns);a.setVariable(this.id+".filas",e);a.setVariable(this.id+".columnas",d);var l=a.matrices[this.id];l.rows=e;l.cols=d;e=0;for(d=this.expresion.length;e<d;e++)a.eval(this.expresion[e])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
a.Function=function(g,e){a.Auxiliary.call(this,g,e);var d=this.evaluator,l=d.parser,c=this.id.indexOf("(");this.name=this.id.substring(0,c);this.params=this.id.substring(c+1,this.id.indexOf(")"));this.domain=this.range?l.parse(this.range):l.parse("1");this.params=""==this.params?[]:this.params.split(",");this.numberOfParams=this.params.length;this.algorithm||(this.whileExpr=this.doExpr=this.init="");this.parseExpressions(l);this.expresion=l.parse(this.expresion);var h=this;this.functionExec=function(){this.iterations=
0;if(h.numberOfParams<=arguments.length){for(var c=[],b=0,e=h.privateVars.length;b<e;b++)c.push(d.getVariable(h.privateVars[b])),d.setVariable(h.privateVars[b],0);for(var g=[],b=0,e=h.params.length;b<e;b++)g[b]=d.getVariable(h.params[b])||0,d.setVariable(h.params[b],arguments[b]);b=0;for(e=h.init.length;b<e;b++)d.eval(h.init[b]);do{b=0;for(e=h.doExpr.length;b<e;b++)d.eval(h.doExpr[b]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en la funci\u00f3n << "+
h.name+" >>"),0}while(0<d.eval(h.whileExpr));var n=d.eval(h.expresion);a.rangeOK=d.eval(h.domain);b=0;for(e=h.params.length;b<e;b++)d.setVariable(h.params[b],g[b]);b=0;for(e=h.privateVars.length;b<e;b++)d.setVariable(h.privateVars[b],c[b]);return n}return 0};d.setFunction(this.name,this.functionExec)};a.extend(a.Function,a.Auxiliary);return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Algorithm=function(g,e){a.Auxiliary.call(this,g,e);var d=this.evaluator;this.parseExpressions(d.parser);
this.algorithmExec=function(){for(var a=this.iterations=0,c=this.init.length;a<c;a++)d.eval(this.init[a]);do{a=0;for(c=this.doExpr.length;a<c;a++)d.eval(this.doExpr[a]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en el algoritmo << "+self.name+" >>"),0}while(0<d.eval(this.whileExpr))}};a.extend(a.Algorithm,a.Auxiliary);a.Algorithm.prototype.update=function(){this.algorithmExec();"onlyOnce"===this.evaluate&&(this.update=function(){})};return a}(descartesJS||
{}),descartesJS=function(a){if(a.loadLib)return a;a.Event=function(g,e){a.Auxiliary.call(this,g,e);var d=this.evaluator;delete this.evaluate;this.condition=d.parser.parse(this.condition);this.lastEvaluation=!1;this.action=this.parent.lessonParser.parseAction(this);"onlyOnce"==this.execution&&(this.eventExec=function(){0<this.evaluator.eval(this.condition)&&!this.lastEvaluation&&(this.lastEvaluation=!0,this.action.execute())});"alternate"==this.execution&&(this.eventExec=function(){var a=0<this.evaluator.eval(this.condition);
3==this.parent.version?a!=this.lastEvaluation&&(this.action.execute(),this.lastEvaluation=a?!0:!1):a&&!this.lastEvaluation?(this.action.execute(),this.lastEvaluation=!0):!a&&this.lastEvaluation&&(this.lastEvaluation=!1)});"always"==this.execution&&(this.eventExec=function(){0<this.evaluator.eval(this.condition)&&this.action.execute()})};a.extend(a.Event,a.Auxiliary);a.Event.prototype.update=function(){this.eventExec()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,
e,d,l,c;a.Graphic=function(c,e){this.parent=c;this.evaluator=c.evaluator;var b=this.evaluator.parser;this.spaceID="";this.background=!1;this.type="";this.drawif=b.parse("1");this.abs_coord=!1;this.color=new a.Color("blue");2!==this.parent.version&&(this.color=new a.Color("20303a"),this.parent.arquimedes&&(this.color=new a.Color("black")));this.trace="";this.expresion=b.parse("(0,0)");this.family="";this.family_interval=b.parse("[0,1]");this.family_steps=b.parse("8");this.editable=!1;this.font="Monospaced,PLAIN,"+
(5<=this.parent.version?"15":"12");this.fixed=!0;this.text="";this.decimals=b.parse("2");for(var d in e)e.hasOwnProperty(d)&&(this[d]=e[d]);this.space=this.getSpace();this.canvas=this.background?this.space.backCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");this.trace&&(this.traceCtx=this.space.backCtx);this.font=a.convertFont(this.font);this.fontSize=(this.fontSize=this.font.match(/([\d\.]+)px/))?parseFloat(this.fontSize[1]):10};a.Graphic.prototype.getSpace=function(){for(var a=this.parent.spaces,
c,b=0,e=a.length;b<e;b++)if(c=a[b],c.id==this.spaceID)return c;return a[0]};a.Graphic.prototype.getFamilyValues=function(){g=this.evaluator;e=g.eval(this.family_interval);this.familyInf=e[0][0];this.familySup=e[0][1];this.fSteps=Math.round(g.eval(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic.prototype.drawFamilyAux=function(a,c,b){g=this.evaluator;this.getFamilyValues();d=g.getVariable(this.family);if(0<=this.fSteps)for(var e=0,l=this.fSteps;e<=
l;e++)g.setVariable(this.family,this.familyInf+e*this.family_sep),0<g.eval(this.drawif)&&(this.update(),this.drawAux(a,c,b));g.setVariable("_Text_H_",0);g.setVariable(this.family,d)};a.Graphic.prototype.draw=function(a,c){""!=this.family?this.drawFamilyAux(this.ctx,a,c):0<this.evaluator.eval(this.drawif)&&(this.update(),this.drawAux(this.ctx,a,c))};a.Graphic.prototype.drawTrace=function(a,c){""!=this.family?this.drawFamilyAux(this.traceCtx,a,c):0<this.evaluator.eval(this.drawif)&&(this.update(),this.drawAux(this.traceCtx,
a,c))};a.Graphic.prototype.drawText=function(a,e,b,d,u,n,r,p,x,f,q){a.textNode=e;if("rtfNode"===e.type)a.fillStyle=u.getColor(),a.strokeStyle=u.getColor(),a.textBaseline="alphabetic",a.textNode.pos={x:b,y:d},e.draw(a,b,d+1,x,f,r,q,u.getColor());else for("simpleText"===e.type&&(e=e.toString(x,f).split("\\n")),b+=/Arial|Times/i.test(n)?-2:0,g=this.evaluator,a.fillStyle=u.getColor(),a.font=n,a.textAlign=r,a.textBaseline=p,this.border&&(a.strokeStyle=this.border.getColor(),a.lineWidth=4),c=1.2*this.fontSize||
0,u=0,n=e.length;u<n;u++)l=e[u],this.border&&(a.lineJoin="round",a.miterLimit=2,a.strokeText(l,b,d+c*u)),a.fillText(l,b,d+c*u)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.SimpleText=function(a,e){this.text=e=e.replace("&#x2013","\u2013").replace(/\&squot;/g,"'");this.textElements=[];this.textElementsMacros=[];this.parent=a;this.evaluator=a.evaluator;this.type="simpleText";for(var c="'",h=0,k=0,b=-1,g,u;h<e.length;)g=e.charAt(h),u=e.charAt(h-1),"["===g&&"\\"===u?(this.textElements.push(e.substring(k,
h-1)+"["),this.textElementsMacros.push("'"+e.substring(k,h-1)+"['"),k=h+1):"]"===g&&"\\"===u?(this.textElements.push(e.substring(k,h-1)+"]"),this.textElementsMacros.push("'"+e.substring(k,h-1)+"]'"),k=h+1):"["===g&&-1===b?(this.textElements.push(e.substring(k,h)),this.textElementsMacros.push("'"+e.substring(k,h)+"'"),k=h,b++):"["===g?b++:"]"===g&&0===b?(this.textElements.push(this.evaluator.parser.parse(e.substring(k,h+1))),this.textElementsMacros.push("["+e.substring(k,h+1)+"]"),k=h+1,b--):("]"==
e.charAt(h)&&(b=0>b?b:b-1),c+=e.charAt(h)),h++;this.textElements.push(e.substring(k,h));this.textElementsMacros.push("'"+e.substring(k,h)+"'")};var g,e;a.SimpleText.prototype.toString=function(d,l){g="";for(var c=0,h=this.textElements.length;c<h;c++)"string"===typeof this.textElements[c]?g+=this.textElements[c]:(e=this.evaluator.eval(this.textElements[c])[0][0],""!==e&&("string"===typeof e?g+=e:(e=parseFloat(e),e=l?e.toFixed(d):a.removeNeedlessDecimals(e.toFixed(d)),g+=e.toString().replace(".",this.parent.decimal_symbol))));
return g};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y,B,E,D,F,H,G,K,C;a._debug_vez=0;a.Equation=function(b,c){this.width=b.evaluator.parser.parse("1");this.fillM=this.fillP="";a.Graphic.call(this,b,c);this.parseExpression();(this.visible=2===this.parent.version&&void 0==this.visible?!0:this.visible)&&this.registerTextField();r=new a.R2;p=new a.R2;x=new a.R2;m=new a.R2;f=new a.R2;this.cInd=0};a.extend(a.Equation,a.Graphic);a.Equation.prototype.parseExpression=
function(){if("compOperator"===this.expresion.type){var b=this.expresion.childs[0],f=this.expresion.childs[1];"identifier"!=b.type||"y"!=b.value||f.contains("y")?"identifier"!=f.type||"y"!=f.value||b.contains("y")?"identifier"!=b.type||"x"!=b.value||f.contains("x")?"identifier"!=f.type||"x"!=f.value||b.contains("x")||(this.funExpr=f,this.of_y=!0,this.drawAux=this.drawAuxFun):(this.funExpr=f,this.of_y=!0,this.drawAux=this.drawAuxFun):(this.funExpr=b,this.of_y=!1,this.drawAux=this.drawAuxFun):(this.funExpr=
f,this.of_y=!1,this.drawAux=this.drawAuxFun)}this.newt=new a.R2Newton(this.evaluator,this.expresion)};a.Equation.prototype.update=function(){};a.Equation.prototype.draw=function(){""!=this.family?this.drawFamilyAux(this.ctx,this.fill,this.color):(this.update(),this.drawAux(this.ctx,this.fill,this.color))};a.Equation.prototype.drawFamilyAux=function(a,b,f){e=this.evaluator;this.getFamilyValues();tempParam=e.getVariable(this.family);if(0<=this.fSteps)for(var c=0,d=this.fSteps;c<=d;c++)e.setVariable(this.family,
this.familyInf+c*this.family_sep),this.update(),this.drawAux(a,b,f);e.setVariable(this.family,tempParam)};a.Equation.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.fill,this.trace)};var A,J,I,N,z,M,L;a.Equation.prototype.drawAux=function(O,Q,P){if(!(0>=this.evaluator.eval(this.drawif))){e=this.evaluator;d=e.parser;l=this.space;c=e.eval(this.width);O.strokeStyle=this.color.getColor();O.lineWidth=c;h=d.getVariable("x");k=d.getVariable("y");b=l.w+24;v=l.h+24;u=b/9;3>u&&(u=3);n=v/7;
3>n&&(n=3);0==this.cInd?(g=[],this.cInd++):this.cInd=(this.cInd+1)%1E5;r.set(0,0);p.set(0,0);x.set(0,0);M=.25;L=8;this.abs_coord||(M/=l.scale,L/=l.scale);O.beginPath();for(C=parseInt(n/2);C<v;C+=n)for(K=parseInt(u/2);K<b;K+=u){if(this.abs_coord){m.set(K,C);q=this.newt.findZero(m,M);if(null==q)continue;e.setVariable("x",q.x);e.setVariable("y",q.y);f.set(q.x,q.y)}else{m.set(l.getRelativeX(K),l.getRelativeY(C));q=this.newt.findZero(m,M);if(null==q)continue;e.setVariable("x",q.x);e.setVariable("y",q.y);
f.set(l.getAbsoluteX(q.x),l.getAbsoluteY(q.y))}w=f.ix();y=f.iy();if(-12<=w&&w<b+24&&-12<=y&&y<v+24){if(g[w+12+(y+12)*l.w]===this.cInd)continue;g[w+12+(y+12)*l.w]=this.cInd}a.rangeOK&&(O.moveTo(w,y),O.lineTo(w,y));r.x=q.x;r.y=q.y;p.x=q.x;p.y=q.y;B=this.newt.getUnitNormal();if(0!=B.x||0!=B.y)for(B.rotL90(),x.x=B.x,x.y=B.y,D=E=0,F=!1;2>D;)if(F&&(x.x=-B.x,x.y=-B.y,q.x=r.x,q.y=r.y,p.x=q.x,p.y=q.y,this.abs_coord?f.set(q.x,q.y):f.set(l.getAbsoluteX(q.x),l.getAbsoluteY(q.y)),w=f.ix(),y=f.iy(),F=!1,E=0),q.x+=
L*x.x,q.y+=L*x.y,q=this.newt.findZero(q,M),null!=q){e.setVariable("x",q.x);e.setVariable("y",q.y);x.x=q.x-p.x;x.y=q.y-p.y;x.normalize();if(0==x.x&&0==x.y)break;p.x=q.x;p.y=q.y;this.abs_coord?f.set(q.x,q.y):f.set(l.getAbsoluteX(q.x),l.getAbsoluteY(q.y));H=parseInt(f.ix());G=parseInt(f.iy());if(H!=w||G!=y)if(A=w,J=y,w=H,y=G,-12<=w&&w<b+24&&-12<=y&&y<v+24){E=0;I=g[w+12+(y+12)*l.w];g[w+12+(y+12)*l.w]=this.cInd;for(Q=1;8>Q;Q++)N=A+Math.round((w-A)*Q/8),z=J+Math.round((y-J)*Q/8),0<=N&&N<b&&0<=z&&z<v&&(g[N+
12+(z+12)*l.w]=this.cInd);a.rangeOK&&(O.moveTo(A,J),O.lineTo(w,y));if(I===this.cInd)break}else F=!0,D++;else 4<++E&&(F=!0,D++)}}O.stroke()}};a.Equation.prototype.X=function(a,b,f){f||(b=this.space.w/2+this.space.Ox+this.space.scale*b);b<-a&&(b=-a);b>this.space.w+a&&(b=this.space.w+a);return b};a.Equation.prototype.Y=function(a,b,f){f||(b=this.space.h/2+this.space.Oy-this.space.scale*b);b<-a&&(b=-a);b>this.space.h+a&&(b=this.space.h+a);return b};a.Equation.prototype.XX=function(a,b,f){return Math.round(this.X(a,
b,f))};a.Equation.prototype.YY=function(a,b,f){return Math.round(this.Y(a,b,f))};a.Equation.prototype.extrapolate=function(b,f,c,e,d,r){for(var k=this.evaluator.getVariable(f),p=r/2,h=0,g,m,n,q,l,x;1E-15<Math.abs(p);){g=this.evaluator.getVariable(f);m=this.evaluator.getVariable(f)+p;this.evaluator.setVariable(f,m);n=!0;try{q=d,d=this.evaluator.eval(this.funExpr),this.evaluator.setVariable(c,d),0<this.evaluator.eval(b)?(l=new a.R2(Math.min(q,d),Math.max(q,d)),x=0,x=0<r?this.Singularity(Math.abs(p),
f,e,g,q,m,d,l):this.Singularity(Math.abs(p),f,e,m,d,g,q,l),0<x&&(n=!1)):n=!1}catch(u){n=!1}n?h+=p:this.evaluator.setVariable(f,g);p/=2}this.evaluator.setVariable(f,k);return new a.R2(h/Math.abs(r),d)};a.Equation.prototype.extrapolateOnSingularity=function(b,f,c,e,d,r){e=this.evaluator.getVariable(f);for(var k=r/2,p=0,h=d,g;1E-15<Math.abs(k);){this.evaluator.setVariable(f,this.evaluator.getVariable(f)+k);g=!0;if(0<this.evaluator.eval(b))try{h=this.evaluator.eval(this.funExpr),this.evaluator.setVariable(c,
h),0>=this.evaluator.eval(b)&&(g=!1)}catch(m){g=!1}else g=!1;g?p+=k:this.evaluator.setVariable(f,this.evaluator.getVariable(f)-k);k/=2}if(0==p)for(k=r/2,p=r,h=d;1E-15<Math.abs(k);){this.evaluator.setVariable(f,this.evaluator.getVariable(f)-k);g=!0;if(0<this.evaluator.eval(b))try{h=this.evaluator.eval(this.funExpr)}catch(m){g=!1}else g=!1;g?p+=-k:this.evaluator.setVariable(f,this.evaluator.getVariable(f)+k);k/=2}this.evaluator.setVariable(f,e);return new a.R2(p/Math.abs(r),h)};a.Equation.prototype.Singularity=
function(a,b,f,c,e,d,r,k){if(isNaN(r)||isNaN(e)||isNaN(k.y)||isNaN(k.x)||c>=d)return 2;var p=this.evaluator.getVariable(b),g=0;try{if(1E-15>Math.abs(d-c)||1E-12>Math.abs(d-c)&&Math.abs(r-e)>Math.abs(a))return this.evaluator.setVariable(b,p),1;var h=(c+d)/2;this.evaluator.setVariable(b,h);var m=NaN;try{m=this.evaluator.eval(this.funExpr)}catch(n){return 2}if(isNaN(m))return 2;if(Math.abs(r-e)>a){this.evaluator.setVariable(b,c-1E-12);var q=this.evaluator.eval(this.funExpr),q=(e-q)/1E-12;this.evaluator.setVariable(b,
d+1E-12);var l=(this.evaluator.eval(this.funExpr)-r)/1E-12;if((10>Math.abs(l)||10>Math.abs(q))&&(0<=l&&0<=q||0>=l&&0>=q)&&4*Math.abs(l)<Math.abs((r-e)/(d-c)))return this.evaluator.setVariable(b,p),2}if(isNaN(k.x)||isNaN(k.y)||isNaN(m))return 2;if(!(k.x<=m&&m<=k.y)){this.evaluator.setVariable(b,h);k.x=Math.min(e,m);k.y=Math.max(e,m);var x=this.Singularity(a/2,b,f,c,e,h,m,k);this.evaluator.setVariable(b,d);k.x=Math.min(r,m);k.y=Math.max(r,m);var u=this.Singularity(a/2,b,f,h,m,d,r,k),g=Math.max(x,u)}}catch(n){g=
1}this.evaluator.setVariable(b,p);return g};a.Equation.prototype.drawAuxFun=function(b,f,c){h=this.evaluator.parser.getVariable("x");k=this.evaluator.parser.getVariable("y");a.rangeOK=1;f="x";c="y";this.of_y&&(f="y",c="x");var e=this.drawif,d=this.evaluator.eval(this.width),r=!1,p=new a.R2(this.space.w/2+this.space.Ox,this.space.h/2+this.space.Oy),p=this.of_y?p.ix():p.iy(),g=0,m=0,n=0,q=0,l=1/this.space.scale,x=l*(this.of_y?Math.ceil(-this.space.h+(this.space.h/2+this.space.Oy)):-Math.ceil(this.space.w/
2+this.space.Ox)),u=0;this.abs_coord&&(x=0,l=1);for(var v,z,w,y,A,E,B,M,D,C=this.of_y?this.space.h+4:this.space.w+4;n<=C;){v=!0;z=0;this.evaluator.setVariable(f,x);try{w=this.evaluator.eval(this.funExpr),isNaN(w)||(this.evaluator.setVariable(c,w),0<this.evaluator.eval(this.drawif)&&a.rangeOK?(r?(y=Math.min(u,w),A=Math.max(u,w),E=new a.R2(y,A),z=this.Singularity(l,f,0,x-l,u,x,w,E),0===z?(u<=w?(u=E.x,w=E.y):(w=E.x,u=E.y),B=parseInt(this.of_y?this.XX(d,u,this.abs_coord):this.YY(d,u,this.abs_coord)),
g=this.abs_coord?Math.round(w):parseInt(this.of_y?this.XX(d,w,this.abs_coord):this.YY(d,w,this.abs_coord)),this.fillM&&g>p&&(b.lineWidth=1,b.strokeStyle=this.fillM.getColor(),b.beginPath(),this.of_y?(b.moveTo(p+1,this.space.h-n+.5),b.lineTo(g,this.space.h-n+.5)):(b.moveTo(n+.5,p+1),b.lineTo(n+.5,g)),b.stroke()),this.fillP&&g<p&&(b.lineWidth=1,b.strokeStyle=this.fillP.getColor(),b.beginPath(),this.of_y?(b.moveTo(p-1,this.space.h-n+.5),b.lineTo(g,this.space.h-n+.5)):(b.moveTo(n+.5,p-1),b.lineTo(n+.5,
g)),b.stroke()),b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(B+.5,this.space.h-q),b.lineTo(g+.5,this.space.h-n)):(b.moveTo(q+.5,B),b.lineTo(n+.5,g))):1===z?(this.evaluator.setVariable(f,x-l),M=this.extrapolate(e,f,c,0,u,l),g=parseInt(this.of_y?this.XX(d,M.y,this.abs_coord):this.YY(d,M.y,this.abs_coord)),b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(m+.5,this.space.h-q),b.lineTo(g+.5,this.space.h-q+Math.round(M.x))):(b.moveTo(q+
.5,m),b.lineTo(q+Math.round(M.x)+.5,g)),this.evaluator.setVariable(f,x),D=this.extrapolate(e,f,c,0,w,-l),m=this.YY(d,D.y,this.abs_coord),g=this.YY(d,w,this.abs_coord),b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(m+.5,this.space.h-n),b.lineTo(g+.5,this.space.h-n)):(b.moveTo(n+.5,m),b.lineTo(n+.5,g))):(g=parseInt(this.of_y?this.XX(d,w,this.abs_coord):this.YY(d,w,this.abs_coord)),b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(g+
.5,this.space.h-n),b.lineTo(g+.5,this.space.h-n)):(b.moveTo(n+.5,g),b.lineTo(n+.5,g)))):(D=this.extrapolateOnSingularity(e,f,c,0,w,-l),m=this.of_y?this.XX(d,D.y,this.abs_coord):this.YY(d,D.y,this.abs_coord),g=parseInt(this.of_y?this.XX(d,w,this.abs_coord):this.YY(d,w,this.abs_coord)),b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(m,this.space.h-(n+Math.round(D.x))+.5),b.lineTo(g,this.space.h-n+.5)):(b.moveTo(n+Math.round(D.x),m),b.lineTo(n,g))),b.stroke(),u=w):
v=!1)}catch(F){v=!1}r&&!v&&(this.evaluator.setVariable(f,x-l),this.evaluator.setVariable(c,u),M=this.extrapolate(e,f,c,0,u,l),g=parseInt(this.of_y?this.XX(d,M.y,this.abs_coord):this.YY(d,M.y,this.abs_coord)),0<this.evaluator.eval(this.drawif)&&a.rangeOK&&(b.lineWidth=d,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(m,this.space.h-(q+Math.round(M.x))+.5),b.lineTo(g,this.space.h-(q+Math.round(M.x))+.5)):(b.moveTo(q+Math.round(M.x)+.5,m),b.lineTo(q+Math.round(M.x)+.5,g)),b.stroke()),
this.evaluator.setVariable(f,x));r=v;x+=l;m=g;q=n++}this.evaluator.parser.setVariable("x",h);this.evaluator.parser.setVariable("y",k)};a.Equation.prototype.registerTextField=function(){var a=document.createElement("input");a.value=this.expresionString;a.disabled=!this.editable;var b=this;a.onkeydown=function(a){13==a.keyCode&&(b.expresion=b.evaluator.parser.parse(this.value),b.parseExpression(),b.parent.update())};this.parent.editableRegion.textFields.push(a)};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var g=Math.round,e,d,l,c,h,k,b,v,u,n,r;a.Curve=function(b,c){this.parameter="t";this.parameter_interval=b.evaluator.parser.parse("[0,1]");this.parameter_steps=b.evaluator.parser.parse("8");this.width=b.evaluator.parser.parse("1");this.fill="";a.Graphic.call(this,b,c);(this.visible=2==this.parent.version&&void 0==this.visible)&&this.registerTextField()};a.extend(a.Curve,a.Graphic);a.Curve.prototype.update=function(){e=this.evaluator;d=e.eval(this.parameter_interval);
this.paraInf=d[0][0];this.paraSup=d[0][1];this.pSteps=e.eval(this.parameter_steps);this.paraSep=0<this.pSteps?Math.abs(this.paraSup-this.paraInf)/this.pSteps:0};a.Curve.prototype.draw=function(){this.uber.draw.call(this,this.fill,this.color)};a.Curve.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.fill,this.trace)};a.Curve.prototype.drawAux=function(d,x,f){e=this.evaluator;l=this.space;c=g(e.eval(this.width));d.lineWidth=0<c?c:1E-6;d.lineCap="round";d.lineJoin="round";d.strokeStyle=
f.getColor();h=e.getVariable(this.parameter);d.beginPath();e.setVariable(this.parameter,this.paraInf);k=e.eval(this.expresion);this.exprX=g(this.abs_coord?k[0][0]:l.getAbsoluteX(k[0][0]));this.exprY=g(this.abs_coord?k[0][1]:l.getAbsoluteY(k[0][1]));this.rotateExp&&(b=a.degToRad(e.eval(this.rotateExp)),v=Math.cos(b),u=Math.sin(b),n=this.exprX*v-this.exprY*u,r=this.exprX*u+this.exprY*v,this.exprX=n,this.exprY=r);d.moveTo(this.exprX+.5,this.exprY+.5);for(f=1;f<=this.pSteps;f++)e.setVariable(this.parameter,
this.paraInf+f*this.paraSep),k=e.eval(this.expresion),this.exprX=this.abs_coord?g(k[0][0]):g(l.getAbsoluteX(k[0][0])),this.exprY=this.abs_coord?g(k[0][1]):g(l.getAbsoluteY(k[0][1])),this.rotateExp&&(n=this.exprX*v-this.exprY*u,r=this.exprX*u+this.exprY*v,this.exprX=n,this.exprY=r),!isNaN(this.exprX)&&!isNaN(this.exprY)&&-1E7<this.exprX&&1E7>this.exprX&&-1E7<this.exprY&&1E7>this.exprY&&d.lineTo(this.exprX+.5,this.exprY+.5);this.fill&&(d.fillStyle=x.getColor(),d.fill("evenodd"));d.stroke();e.setVariable(this.parameter,
h)};a.Curve.prototype.registerTextField=function(){var a=document.createElement("input");a.value=this.expresionString;a.disabled=!this.editable;var b=this;a.onkeydown=function(a){13==a.keyCode&&(b.expresion=b.evaluator.parser.parse(this.value),b.parent.update())};this.parent.editableRegion.textFields.push(a)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=2*Math.PI,e=Math.round,d,l,c,h,k,b,v,u,n,r,p,x,f,q;a.Sequence=function(b,f){this.size=b.evaluator.parser.parse("2");
this.range=b.evaluator.parser.parse("[1, 100]");a.Graphic.call(this,b,f)};a.extend(a.Sequence,a.Graphic);a.Sequence.prototype.update=function(){d=this.evaluator;c=d.eval(this.expresion);this.exprX=c[0][0];this.exprY=c[0][1];this.rotateExp&&(h=a.degToRad(d.eval(this.rotateExp)),k=Math.cos(h),b=Math.sin(h),v=this.exprX*k-this.exprY*b,u=this.exprX*b+this.exprY*k,this.exprX=v,this.exprY=u);p=d.eval(this.range);this.rangeInf=p[0][0];this.rangeMax=p[0][1]};a.Sequence.prototype.draw=function(){this.uber.draw.call(this,
this.color,this.color)};a.Sequence.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Sequence.prototype.drawAux=function(a,b){d=this.evaluator;l=this.space;f=x=Math.ceil(d.eval(this.size)-.4);a.fillStyle=b.getColor();a.beginPath();this.rangeInf>this.rangeMax&&(q=this.rangeInf,this.rangeInf=this.rangeMax,this.rangeMax=q);for(var k=d.getVariable("n"),p=this.rangeInf,h=this.rangeMax;p<=h;p++)d.setVariable("n",p),c=d.eval(this.expresion),this.exprX=c[0][0],this.exprY=
c[0][1],n=e(this.abs_coord?this.exprX:l.getAbsoluteX(this.exprX)),r=e(this.abs_coord?this.exprY:l.getAbsoluteY(this.exprY)),a.beginPath(),a.arc(n,r,x,0,g,!0),a.fill();a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,n+f,r-f,this.color,this.font,"start","alphabetic",d.eval(this.decimals),this.fixed,!0);d.setVariable("n",k)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=2*Math.PI,e=Math.round,d,l,c,h,k,b,v,u,n,r,p,x;a.Point=function(b,c){this.size=
b.evaluator.parser.parse("2");a.Graphic.call(this,b,c)};a.extend(a.Point,a.Graphic);a.Point.prototype.update=function(){d=this.evaluator;c=d.eval(this.expresion);this.exprX=c[0][0];this.exprY=c[0][1];this.rotateExp&&(h=a.degToRad(d.eval(this.rotateExp)),k=Math.cos(h),b=Math.sin(h),v=this.exprX*k-this.exprY*b,u=this.exprX*b+this.exprY*k,this.exprX=v,this.exprY=u)};a.Point.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Point.prototype.drawTrace=function(){this.uber.drawTrace.call(this,
this.trace,this.trace)};a.Point.prototype.drawAux=function(a,b){d=this.evaluator;l=this.space;p=e(d.eval(this.size));x=p+1;a.fillStyle=b.getColor();n=e(this.abs_coord?this.exprX:l.getAbsoluteX(this.exprX));r=e(this.abs_coord?this.exprY:l.getAbsoluteY(this.exprY));a.beginPath();a.arc(n,r,p,0,g,!0);a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,n+x+1,r-x,this.color,this.font,"start","alphabetic",d.eval(this.decimals),this.fixed,!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g=Math.round,e=2*Math.PI,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y,B;a.Segment=function(b,f){this.width=b.evaluator.parser.parse("1");this.size=b.evaluator.parser.parse("2");a.Graphic.call(this,b,f)};a.extend(a.Segment,a.Graphic);a.Segment.prototype.update=function(){d=this.evaluator;c=d.eval(this.expresion);this.endPoints=[];for(var f=0,e=c.length;f<e;f++)this.endPoints[f]={x:c[f][0],y:c[f][1]};if(this.rotateExp)for(h=a.degToRad(d.eval(this.rotateExp)),k=Math.cos(h),b=Math.sin(h),f=0,e=this.endPoints.length;f<
e;f++)v=this.endPoints[f].x*k-this.endPoints[f].y*b,u=this.endPoints[f].x*b+this.endPoints[f].y*k,this.endPoints[f].x=v,this.endPoints[f].y=u};a.Segment.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Segment.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Segment.prototype.drawAux=function(a,b,c){d=this.evaluator;l=this.space;n=g(d.eval(this.width));a.lineWidth=0<n?n:1E-6;f=d.eval(this.size);0>f&&(f=0);a.fillStyle=b.getColor();a.strokeStyle=
c.getColor();a.lineCap="round";r=10+a.lineWidth;q=0==a.lineWidth%2?0:.5;this.abs_coord?(m=g(this.endPoints[0].x),w=g(this.endPoints[0].y),y=g(this.endPoints[1].x),B=g(this.endPoints[1].y)):(m=g(l.getAbsoluteX(this.endPoints[0].x)),w=g(l.getAbsoluteY(this.endPoints[0].y)),y=g(l.getAbsoluteX(this.endPoints[1].x)),B=g(l.getAbsoluteY(this.endPoints[1].y)));a.beginPath();a.moveTo(m+q,w+q);a.lineTo(y+q,B+q);a.stroke();0<f&&(a.beginPath(),a.arc(m,w,f,0,e,!0),a.arc(y,B,f,0,e,!0),a.fill());this.text!=[""]&&
(p=parseInt((m+y)/2)-3,x=parseInt((w+B)/2)+3,this.uber.drawText.call(this,a,this.text,p+r,x-r,this.color,this.font,"start","alphabetic",d.eval(this.decimals),this.fixed,!0))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,e=Math.round,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y,B;a.Arrow=function(b,f){this.width=b.evaluator.parser.parse("5");this.size=b.evaluator.parser.parse("2");this.spear=b.evaluator.parser.parse("8");this.arrow=new a.Color("ee0022");a.Graphic.call(this,
b,f)};a.extend(a.Arrow,a.Graphic);a.Arrow.prototype.update=function(){d=this.evaluator;l=d.eval(this.expresion);this.endPoints=[];for(var f=0,e=l.length;f<e;f++)this.endPoints[f]={x:l[f][0],y:l[f][1]};if(this.rotateExp)for(c=a.degToRad(d.eval(this.rotateExp)),h=Math.cos(c),k=Math.sin(c),f=0,e=this.endPoints.length;f<e;f++)b=this.endPoints[f].x*h-this.endPoints[f].y*k,v=this.endPoints[f].x*k+this.endPoints[f].y*h,this.endPoints[f].x=b,this.endPoints[f].y=v};a.Arrow.prototype.draw=function(){this.uber.draw.call(this,
this.arrow,this.color)};a.Arrow.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.arrow,this.trace)};a.Arrow.prototype.drawAux=function(b,c,k){d=this.evaluator;u=this.space;d.eval(this.size);p=d.eval(this.width);0>p&&(p=0);x=Math.ceil(p/2);f=u.scale;this.vect=new a.Vector2D(this.endPoints[1].x-this.endPoints[0].x,this.endPoints[1].y-this.endPoints[0].y);q=this.vect.vectorLength();this.angle=this.vect.angleBetweenVectors(a.Vector2D.AXIS_X);b.fillStyle=c.getColor();b.strokeStyle=k.getColor();
b.lineWidth=2;this.abs_coord?(m=e(this.endPoints[0].x),w=e(this.endPoints[0].y),y=e(this.endPoints[1].x),B=e(this.endPoints[1].y)):(m=e(u.getAbsoluteX(this.endPoints[0].x)),w=e(u.getAbsoluteY(this.endPoints[0].y)),y=e(u.getAbsoluteX(this.endPoints[1].x)),B=e(u.getAbsoluteY(this.endPoints[1].y)));c=d.eval(this.spear);0>c&&(c=0);b.save();b.translate(m,w,q);this.abs_coord?0<=this.vect.x&&0<=this.vect.y||0>=this.vect.x&&0<=this.vect.y?b.rotate(this.angle):b.rotate(-this.angle):(q*=f,0<=this.vect.x&&0<=
this.vect.y||0>=this.vect.x&&0<=this.vect.y?b.rotate(-this.angle):b.rotate(this.angle));b.beginPath();b.moveTo(-x,g(-x));b.lineTo(g(q-c-p),g(-x));b.lineTo(g(q-2*c),g(-c-x));b.lineTo(g(q),0);b.lineTo(g(q-2*c),g(c+x));b.lineTo(g(q-c-p),g(x));b.lineTo(-x,g(x));b.closePath();b.stroke();b.fill();b.restore();this.text!=[""]&&(n=parseInt((m+y)/2)-3,r=parseInt((w+B)/2)+3,this.uber.drawText.call(this,b,this.text,n,r,k,this.font,"start","alphabetic",d.eval(this.decimals),this.fixed,!0))};return a}(descartesJS||
{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,e,d,l,c,h,k,b,v,u,n,r,p;a.Polygon=function(b,f){this.width=b.evaluator.parser.parse("1");this.fill="";a.Graphic.call(this,b,f);this.endPoints=[]};a.extend(a.Polygon,a.Graphic);a.Polygon.prototype.update=function(){e=this.evaluator;l=e.eval(this.expresion);for(var d=0,f=l.length;d<f;d++)this.endPoints[d]={x:l[d][0],y:l[d][1]};if(this.rotateExp)for(c=a.degToRad(e.eval(this.rotateExp)),h=Math.cos(c),k=Math.sin(c),d=0,f=this.endPoints.length;d<
f;d++)b=this.endPoints[d].x*h-this.endPoints[d].y*k,v=this.endPoints[d].x*k+this.endPoints[d].y*h,this.endPoints[d].x=b,this.endPoints[d].y=v};a.Polygon.prototype.draw=function(){this.uber.draw.call(this,this.fill,this.color)};a.Polygon.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Polygon.prototype.drawAux=function(a,b,c){e=this.evaluator;d=this.space;u=g(e.eval(this.width));a.lineWidth=0<u?u:1E-6;a.strokeStyle=c.getColor();a.lineCap="round";a.lineJoin="round";
n=0<u?.5:0;r=g(this.abs_coord?this.endPoints[0].x:d.getAbsoluteX(this.endPoints[0].x));p=g(this.abs_coord?this.endPoints[0].y:d.getAbsoluteY(this.endPoints[0].y));a.beginPath();a.moveTo(r+n,p+n);c=1;for(var k=this.endPoints.length;c<k;c++)r=g(this.abs_coord?this.endPoints[c].x:d.getAbsoluteX(this.endPoints[c].x)),p=g(this.abs_coord?this.endPoints[c].y:d.getAbsoluteY(this.endPoints[c].y)),a.lineTo(r+n,p+n);this.fill&&(a.fillStyle=b.getColor(),a.fill());a.stroke()};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var g=Math.round,e=Math.min,d=Math.max,l=Math.acos,c=Math.sqrt,h=Math.PI,k=h/2,b=2*h,v,u,n,r,p,x,f,q,m,w,y,B,E,D,F,H,G,K,C,A,J;a.Arc=function(b,f){this.width=b.evaluator.parser.parse("1");this.fill="";this.center=b.evaluator.parser.parse("(0,0)");this.radius=b.evaluator.parser.parse("1");this.init="0";this.end="90";a.Graphic.call(this,b,f);this.init.match(/^_\(/)&&(this.initFlag=!0,this.init=this.init.substring(1));this.end.match(/^_\(/)&&(this.endFlag=!0,this.end=
this.end.substring(1));this.initExpr=b.evaluator.parser.parse(this.init);this.endExpr=b.evaluator.parser.parse(this.end)};a.extend(a.Arc,a.Graphic);a.Arc.prototype.update=function(){v=this.evaluator;u=v.eval(this.center);this.exprX=u[0][0];this.exprY=u[0][1];n=0;this.rotateExp&&(n=a.degToRad(v.eval(this.rotateExp)),r=Math.cos(n),p=Math.sin(n),x=this.exprX*r-this.exprY*p,f=this.exprX*p+this.exprY*r,this.exprX=x,this.exprY=f);var g=v.eval(this.initExpr),A=v.eval(this.endExpr);/^(\(|\[)expr(\)|\])$/i.test(this.initExpr.type)&&
/^(\(|\[)expr(\)|\])$/i.test(this.endExpr.type)?(q=g[0][0],m=g[0][1],w=A[0][0],y=A[0][1],this.vectors?this.abs_coord&&(m=-m,y=-y):this.abs_coord?(q-=this.exprX,m=-m+this.exprY,w-=this.exprX,y=-y+this.exprY):(q-=this.exprX,m-=this.exprY,w-=this.exprX,y-=this.exprY),B=0==q?0>m?-k:k:l(1*q/c(q*q+m*m)),E=0==w?0>y?-k:k:l(1*w/c(w*w+y*y)),B+=n,E+=n,0<q&&0<m&&this.abs_coord&&(B=b-B),0<q&&0>m&&!this.abs_coord&&(B=b-B),0>q&&0>m&&!this.abs_coord&&(B=b-B),0>q&&0<m&&this.abs_coord&&(B=b-B),0<w&&0<y&&this.abs_coord&&
(E=b-E),0<w&&0>y&&!this.abs_coord&&(E=b-E),0>w&&0>y&&!this.abs_coord&&(E=b-E),0>w&&0<y&&this.abs_coord&&(E=b-E),this.initFlag?(D=B,B=E,E=D):(D=e(B,E),F=d(B,E),B=D,E=F,E-B>h&&this.abs_coord&&(B=F,E=D),E-B<=h&&!this.abs_coord&&(B=F,E=D)),this.iniAng=B,this.endAng=E,this.drawPoints=!0):(this.iniAng=a.degToRad(g)+n,this.endAng=a.degToRad(A)+n,this.drawAngle=!0)};a.Arc.prototype.draw=function(){this.uber.draw.call(this,this.fill,this.color)};a.Arc.prototype.drawTrace=function(){this.uber.drawTrace.call(this,
this.fill,this.trace)};a.Arc.prototype.drawAux=function(a,b,f){v=this.evaluator;H=this.space;C=v.eval(this.radius);0>C&&(C=0);J=g(v.eval(this.width));a.lineWidth=0<J?J:1E-6;a.lineCap="round";a.strokeStyle=f.getColor();this.drawAngle?(this.abs_coord?(G=g(this.exprX),K=g(this.exprY)):(G=g(H.getAbsoluteX(this.exprX)),K=g(H.getAbsoluteY(this.exprY)),C*=H.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng),this.iniAng>this.endAng&&(A=this.iniAng,this.iniAng=this.endAng,this.endAng=A)):this.drawPoints&&
(this.abs_coord?(G=g(this.exprX),K=g(this.exprY)):(G=g(H.getAbsoluteX(this.exprX)),K=g(H.getAbsoluteY(this.exprY)),C*=H.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng));this.fill&&(a.fillStyle=b.getColor(),a.beginPath(),a.moveTo(G,K),a.arc(G,K,C,this.iniAng,this.endAng,void 0),a.fill());a.beginPath();a.arc(G,K,C,this.iniAng,this.endAng,void 0);a.stroke();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,G+4,K-2,this.color,this.font,"start","alphabetic",v.eval(this.decimals),this.fixed,
!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y;a.Text=function(b,f){this.width=b.evaluator.parser.parse("0");a.Graphic.call(this,b,f);this.align||(this.align="start");this.ascent=this.fontSize-Math.ceil(this.fontSize/7)-(this.font.match("Courier")?3:0);this.descent=a.getFontMetrics(this.font).descent;this.abs_coord=!0};a.extend(a.Text,a.Graphic);a.Text.prototype.update=function(){g=this.evaluator;e=g.eval(this.expresion);this.exprX=
e[0][0];this.exprY=e[0][1];this.rotateExp&&(d=a.degToRad(g.eval(this.rotateExp)),l=Math.cos(d),c=Math.sin(d),h=this.exprX*l-this.exprY*c,k=this.exprX*c+this.exprY*l,this.exprX=h,this.exprY=k);4<=e[0].length&&(this.centered=!0,this.exprW=e[0][2],this.exprH=e[0][3])};a.Text.prototype.draw=function(){this.uber.draw.call(this,this.color)};a.Text.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.color)};a.Text.prototype.drawAux=function(a,b){w=this.evaluator.eval(this.decimals);"rtfNode"===
this.text.type?(n=this.text,this.ascent=0):n=this.splitText(this.text.toString(w,this.fixed).split("\\n"));if(this.text!=[""]){var f=parseInt(this.exprX)+5,c=parseInt(this.exprY)+this.ascent;this.centered&&(f=this.getMaxWidth(n),f=parseInt(this.exprX+(this.exprW-f)/2),c=parseInt(this.exprY+this.descent+(this.exprH-1.2*this.fontSize*(n.length-1))/2));this.uber.drawText.call(this,a,n,f,c,b,this.font,this.align,"alphabetic",w,this.fixed)}};a.Text.prototype.splitText=function(f){g=this.evaluator;b=g.eval(this.width);
n=[];if(20<=b&&"undefined"!=f.type){for(var c=0,d=f.length;c<d;c++)v=f[c],u=a.getTextWidth(v,this.font),u>b?n=n.concat(this.splitWords(v,b)):n.push(v);r=Math.floor(1.2*this.fontSize)*n.length;g.setVariable("_Text_H_",r);return n}g.setVariable("_Text_H_",0);return f};a.Text.prototype.splitWords=function(b,c){p=b;x=[];f="";for(var d=m=0,e=b.length;d<e;d++)q=p.charAt(d)," "===q&&(lastIndexOfWhite=d),f+=q,a.getTextWidth(f,this.font)>c&&(y=b.substring(m,d+1)," "!==q&&(-1===y.indexOf(" ")?(lastIndexOfWhite=
d,d--):d=lastIndexOfWhite),x.push(b.substring(m,lastIndexOfWhite)),f="",m=d+1);x.push(b.substring(m));return x};a.Text.prototype.getMaxWidth=function(b){for(var f=-1,c=0,d=b.length;c<d;c++)v=b[c],f=Math.max(f,a.getTextWidth(v,this.font));return f};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m;a.Image=function(b,f){this.file="";this.inirot=b.evaluator.parser.parse("0");a.Graphic.call(this,b,f);this.img=new Image;this.scaleY=
this.scaleX=1;this.ratio=b.ratio;this.update()};a.extend(a.Image,a.Graphic);a.Image.prototype.update=function(){e=this.evaluator;d=e.eval(this.expresion);this.exprX=d[0][0];this.exprY=d[0][1];this.rotateExp&&(l=a.degToRad(e.eval(this.rotateExp)),c=Math.cos(l),h=Math.sin(l),k=this.exprX*c-this.exprY*h,b=this.exprX*h+this.exprY*c,this.exprX=k,this.exprY=b);4<=d[0].length&&(this.centered=!0,this.scaleX=d[0][2],this.scaleY=d[0][3]);d[1]&&2==d[1].length&&(this.centered=!0,this.scaleX=d[1][0],this.scaleY=
d[1][1]);0==this.scaleX&&(this.scaleX=1E-5);0==this.scaleY&&(this.scaleY=1E-5);if((v=e.eval(this.file))||""==v)this.img=this.parent.getImage(v)};a.Image.prototype.draw=function(){this.uber.draw.call(this)};a.Image.prototype.drawTrace=function(){this.uber.drawTrace.call(this)};a.Image.prototype.drawAux=function(b){e=this.evaluator;u=this.space;this.img&&this.img.ready&&this.img.complete&&(q=this.img.width,m=this.img.height,this.img.canvas&&(q=g(q/this.ratio),m=g(m/this.ratio)),n=this.centered?0:g(q/
2),r=this.centered?0:g(m/2),p=g(this.abs_coord?this.exprX:u.getAbsoluteX(this.exprX)),x=g(this.abs_coord?this.exprY:u.getAbsoluteY(this.exprY)),f=a.degToRad(-e.eval(this.inirot)),b.save(),b.translate(p+n,x+r),b.rotate(f),this.opacity&&(b.globalAlpha=e.eval(this.opacity)),b.scale(this.scaleX,this.scaleY),b.drawImage(this.img,-q/2,-m/2,q,m),b.restore())};return a}(descartesJS||{}),descartesJS=function(a){function g(a,c,d){b=4*(c+d*a.width);return{r:a.data[b],g:a.data[b+1],b:a.data[b+2],a:a.data[b+3]}}
if(a.loadLib)return a;var e,d,l,c,h,k,b,v;a.Fill=function(b,c){a.Graphic.call(this,b,c)};a.extend(a.Fill,a.Graphic);a.Fill.prototype.update=function(){e=this.evaluator.eval(this.expresion);this.exprX=e[0][0];this.exprY=e[0][1]};a.Fill.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Fill.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Fill.prototype.drawAux=function(a,e){e.getColor();imageData=a.getImageData(0,0,this.space.w,this.space.h);
this.abs_coord?(d=parseInt(this.exprX),l=parseInt(this.exprY)):(d=parseInt(this.space.getAbsoluteX(this.exprX)),l=parseInt(this.space.getAbsoluteY(this.exprY)));if(!(0>d||0>l||d>=this.space.w||l>=this.space.h)){c=[[d,l]];k=g(imageData,d,l);for(v=0;0<c.length;){v++;h=c.pop();d=h[0];l=h[1];var r=g(imageData,d,l);if(k.r===r.r&&k.g===r.g&&k.b===r.b&&k.a===r.a){var r=imageData,p=e;b=4*(d+l*r.width);r.data[b+0]=p.r;r.data[b+1]=p.g;r.data[b+2]=p.b;r.data[b+3]=255*p.a;0<d&&c.push([d-1,l]);d<imageData.width-
1&&c.push([d+1,l]);c.push([d,l-1]);c.push([d,l+1])}if(v>=this.space.w*this.space.h*3)break}a.putImageData(imageData,0,0)}};return a}(descartesJS||{}),descartesJS=function(a,g){if(a.loadLib)return a;var e=new String("-_-rnd-pi-e-sqr-ra\u00edz-sqrt-exp-log-log10-abs-ent-sgn-ind-sen-sin-cos-tan-cot-sec-csc-senh-sinh-cosh-tanh-coth-sech-csch-asen-asin-acos-atan-min-max-_Num_-_Trace_-_Stop_Audios_-esCorrecto-escorrecto-_NumToStr_-_NumACadena_-_charAt_-_letraEn_-_substring_-_subcadena_-_length_-_longitud_-_indexOf_-\u00edndiceDe-_GetValues_-_GetMatrix_-_MatrixToStr_-_StrToMatrix_-_GetVector_-_VectorToStr_-_StrToVector_-_ExecStr_-_ExecBlock_-_Save_-_Open_-_SaveState_-_OpenState_-_AnchoDeCadena_-_strWidth_-_Rojo_-_Red_-_Verde_-_Green_-_Azul_-_Blue_-"),
d=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,l;a.Macro=function(c,h){this.hasExpresion=!1;this.inirot=c.evaluator.parser.parse("0");this.inipos=c.evaluator.parser.parse("(0,0)");a.Graphic.call(this,c,h);for(var k in h)"expresion"==k&&(this.hasExpresion=!0),h.hasOwnProperty(k)&&(this[k]=h[k]);this.graphics=[];k=c.lessonParser;var b=new a.Tokenizer;if(this.hasExpresion){"'"!==this.expresion.charAt(0)&&(this.expresion="'"+this.expresion+"'");this.expresion=this.evaluator.parser.parse(this.expresion);var l=
this.evaluator.eval(this.expresion),u;l&&((u=document.getElementById(l))&&"descartes/macro"==u.type?u=u.text:(u=a.openExternalFile(l))&&!u.match(/tipo_de_macro/g)&&(u=null));var n,r;if(u){r=u.replace(/&aacute;/g,"\u00e1").replace(/&eacute;/g,"\u00e9").replace(/&iacute;/g,"\u00ed").replace(/&oacute;/g,"\u00f3").replace(/&uacute;/g,"\u00fa").replace(/&Aacute;/g,"\u00c1").replace(/&Eacute;/g,"\u00c9").replace(/&Iacute;/g,"\u00cd").replace(/&Oacute;/g,"\u00d3").replace(/&Uacute;/g,"\u00da").replace(/&ntilde;/g,
"\u00f1").replace(/&Ntilde;/g,"\u00d1").replace(/\&gt;/g,">").replace(/\&lt;/g,"<").replace(/\&amp;/g,"&").replace(/\r/g,"").split("\n");u=[];for(var l=0,p=r.length;l<p;l++)if(n=r[l].indexOf("="),-1!==n){n=k.split(r[l]);for(var x=0,f=n.length;x<f;x++)n[x]&&1<n.length&&("id"!==g[n[x][0]]&&"type"!==g[n[x][0]]||u.push(n))}for(var q,m,l=0,p=u.length;l<p;l++)for(f=(x=u[l]||[],x[0])&&"id"===x[0][0],r=0,n=x.length;r<n;r++)if(q=x[r][0].indexOf("."),-1===q||f?q=g[x[r][0]]:(q=g[x[r][0].substring(q+1)],x[r][0]=
this.name+"."+x[r][0]),!("font"===q||("fill"===q||"color"===q||"border"===q||"arrow"===q)&&"("!==x[r][1].charAt(0)||"file"===q&&x[r][1].match(d)||"id"!==q&&void 0!==g[x[r][1]]))if("text"==q)if(x[r][1].match(/\{\\rtf1/)){q=x[r][1];var w=this;m=function(a,f){for(var c=b.tokenize(f.replace(/\&squot;/g,"'")),d=0,r=c.length;d<r;d++)"identifier"!=c[d].type||e.match("-"+c[d].value+"-")||(c[d].value=w.name+"."+c[d].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+b.flatTokens(c)};q=q.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,
m);q=q.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,m);x[r][1]=q}else{m=k.parseText(x[r][1]).textElementsMacros;for(var y=0,B=m.length;y<B;y++){q=b.tokenize(m[y].replace(/\&squot;/g,"'"));for(var E=0,D=q.length;E<D;E++)"identifier"!==q[E].type||e.match("-"+q[E].value+"-")||(q[E].value=this.name+"."+q[E].value);q=b.flatTokens(q).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");m[y]=q.substring(1,q.length-1)}x[r][1]=m.join("")}else{m=x[r][1].replace(/\&squot;/g,
"'").split(";");y=0;for(B=m.length;y<B;y++){q=b.tokenize(m[y].replace(/\\n/g,";"));E=0;for(D=q.length;E<D;E++)"identifier"!==q[E].type||e.match("-"+q[E].value+"-")||(q[E].value=this.name+"."+q[E].value);m[y]=b.flatTokens(q)}x[r][1]=m.join(";")}l=0;for(p=u.length;l<p;l++)if(u[l][0]){x="";f=!1;r=0;for(n=u[l].length;r<n;r++)"type"===g[u[l][r][0]]&&(x="espacio='"+this.spaceID+"' ",f=!0),x=x+u[l][r][0]+"='"+u[l][r][1]+"' ";u[l]=x;f?this.graphics.push(k.parseGraphic(u[l],this.abs_coord,this.background,
this.inirot)):k.parseAuxiliar(u[l])}}}};a.extend(a.Macro,a.Graphic);a.Macro.prototype.update=function(){l=this.evaluator.eval(this.inipos);this.iniPosX=l[0][0];this.iniPosY=l[0][1]};a.Macro.prototype.drawAux=function(a){for(var d=0,e=this.graphics.length;d<e;d++)this.graphics[d]&&(a.save(),this.graphics[d].abs_coord?a.translate(this.iniPosX,this.iniPosY):a.translate(this.iniPosX*this.space.scale,-this.iniPosY*this.space.scale),this.graphics[d].draw(),a.restore())};return a}(descartesJS||{},babel),
descartesJS=function(a){if(a.loadLib)return a;a.Generic=function(g,e){this.width=g.evaluator.parser.parse("1");a.Graphic.call(this,g,e)};a.extend(a.Generic,a.Graphic);a.Generic.prototype.update=function(){};a.Generic.prototype.draw=function(){this.uber.draw.call(this,this.fill,this.color)};a.Generic.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Generic.prototype.drawAux=function(a,e,d){var l=this.evaluator.getDefinition(this.expresionString);l&&l.draw(a,e,
d,this)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.sqrt,e=Math.sin,d=Math.cos,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w;a.norm3D=function(a){return g(a.x*a.x+a.y*a.y+a.z*a.z)};a.normalize3D=function(b){l=a.norm3D(b);if(0===l)return{x:0,y:0,z:0};if(1===l)return{x:b.x,y:b.y,z:b.z};l=1/l;return{x:b.x*l,y:b.y*l,z:b.z*l}};a.dotProduct3D=function(a,b){return a.x*b.x+a.y*b.y+a.z*b.z};a.crossProduct3D=function(a,b){return{x:a.y*b.z-a.z*b.y,y:a.z*b.x-a.x*b.z,z:a.x*b.y-a.y*b.x}};
a.scalarProduct3D=function(a,b){return{x:a.x*b,y:a.y*b,z:a.z*b}};a.subtract3D=function(a,b){return{x:a.x-b.x,y:a.y-b.y,z:a.z-b.z}};a.add3D=function(a,b){return{x:a.x+b.x,y:a.y+b.y,z:a.z+b.z}};a.equals3DEpsilon=function(a,b,f){return Math.abs(a.x-b.x)<=f&&Math.abs(a.y-b.y)<=f&&Math.abs(a.z-b.z)<=f};a.Vector4D=function(a,b,f,c){this.x=a||0;this.y=b||0;this.z=f||0;this.w=c||0};a.Matrix4x4=function(a,b,f,c,d,e,r,k,g,p,h,m,n,q,l,u){this.a00=a||0;this.a01=b||0;this.a02=f||0;this.a03=c||0;this.a10=d||0;
this.a11=e||0;this.a12=r||0;this.a13=k||0;this.a20=g||0;this.a21=p||0;this.a22=h||0;this.a23=m||0;this.a30=n||0;this.a31=q||0;this.a32=l||0;this.a33=u||0};a.Matrix4x4.prototype.setIdentity=function(){this.a00=1;this.a10=this.a03=this.a02=this.a01=0;this.a11=1;this.a21=this.a20=this.a13=this.a12=0;this.a22=1;this.a32=this.a31=this.a30=this.a23=0;this.a33=1;return this};a.Matrix4x4.prototype.multiplyVector4=function(b){return new a.Vector4D(b.x*this.a00+b.y*this.a10+b.z*this.a20+b.w*this.a30,b.x*this.a01+
b.y*this.a11+b.z*this.a21+b.w*this.a31,b.x*this.a02+b.y*this.a12+b.z*this.a22+b.w*this.a32,b.x*this.a03+b.y*this.a13+b.z*this.a23+b.w*this.a33)};a.Matrix4x4.prototype.translate=function(b){return new a.Matrix4x4(this.a00,this.a01,this.a02,this.a03,this.a10,this.a11,this.a12,this.a13,this.a20,this.a21,this.a22,this.a23,this.a00*b.x+this.a10*b.y+this.a20*b.z+this.a30,this.a01*b.x+this.a11*b.y+this.a21*b.z+this.a31,this.a02*b.x+this.a12*b.y+this.a22*b.z+this.a32,this.a03*b.x+this.a13*b.y+this.a23*b.z+
this.a33)};a.Matrix4x4.prototype.rotateX=function(b){c=e(b);h=d(b);n=this.a10;r=this.a11;p=this.a12;x=this.a13;f=this.a20;q=this.a21;m=this.a22;w=this.a23;return new a.Matrix4x4(this.a00,this.a01,this.a02,this.a03,n*h+f*c,r*h+q*c,p*h+m*c,x*h+w*c,n*-c+f*h,r*-c+q*h,p*-c+m*h,x*-c+w*h,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateY=function(r){c=e(r);h=d(r);k=this.a00;b=this.a01;v=this.a02;u=this.a03;f=this.a20;q=this.a21;m=this.a22;w=this.a23;return new a.Matrix4x4(k*h+f*-c,b*h+q*
-c,v*h+m*-c,u*h+w*-c,this.a10,this.a11,this.a12,this.a13,k*c+f*h,b*c+q*h,v*c+m*h,u*c+w*h,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateZ=function(f){c=e(f);h=d(f);k=this.a00;b=this.a01;v=this.a02;u=this.a03;n=this.a10;r=this.a11;p=this.a12;x=this.a13;return new a.Matrix4x4(k*h+n*c,b*h+r*c,v*h+p*c,u*h+x*c,k*-c+n*h,b*-c+r*h,v*-c+p*h,u*-c+x*h,this.a20,this.a21,this.a22,this.a23,this.a30,this.a31,this.a32,this.a33)};return a}(descartesJS||{}),descartesJS=function(a){function g(a){a.textNode=
null;0!==parseInt(this.size)&&(a.lineWidth=1,a.fillStyle=this.backColor,a.strokeStyle=this.frontColor,a.beginPath(),a.arc(this.projVert[0].x,this.projVert[0].y,this.size+.5,0,h),a.fill(),a.stroke())}function e(a,b){a.textNode=null;a.lineCap="round";a.lineJoin="round";a.lineWidth="#"==this.backColor.charAt(0)||"#"==this.frontColor.charAt(0)?1:.1;a.beginPath();a.moveTo(this.projVert[0].x,this.projVert[0].y);for(var c=1,f=this.projVert.length;c<f;c++)a.lineTo(this.projVert[c].x,this.projVert[c].y);a.closePath();
"color"===this.model?(a.fillStyle=0<=this.direction?this.backColor:this.frontColor,a.strokeStyle=a.fillStyle,a.stroke(),a.fill()):"light"===this.model||"metal"===this.model?(a.fillStyle=0<=this.direction?b.computeColor(this.backColor,this,"metal"===this.model):b.computeColor(this.frontColor,this,"metal"===this.model),a.strokeStyle=a.fillStyle,a.stroke(),a.fill()):"wire"===this.model&&(a.lineWidth=1.5,a.strokeStyle=this.frontColor,a.stroke());this.edges&&"wire"!==this.model&&(a.lineWidth=1,a.strokeStyle=
"#808080",a.stroke())}function d(a){a.textNode=null;u=this.evaluator.getVariable(this.family);this.evaluator.setVariable(this.family,this.familyValue);this.drawText(a,this.text,this.projVert[0].x,this.projVert[0].y+this.displace,this.frontColor,this.font,"left","alphabetic",this.decimals,this.fixed,!0);this.evaluator.setVariable(this.family,u)}function l(a){a.textNode=null;a.lineCap="round";a.lineJoin="round";a.lineWidth=this.lineWidth;a.strokeStyle=this.frontColor;a.beginPath();a.moveTo(this.projVert[0].x,
this.projVert[0].y);a.lineTo(this.projVert[1].x,this.projVert[1].y);a.stroke()}function c(b,c,d){return a.normalize3D(a.crossProduct3D(a.subtract3D(b,c),a.subtract3D(b,d)))}if(a.loadLib)return a;var h=2*Math.PI,k,b,v,u;a.Primitive3D=function(a,b){this.space=b;for(var k in a)a.hasOwnProperty(k)&&(this[k]=a[k]);this.projVert=[];this.spaceVertices=[];"vertex"===this.type?this.draw=g:"face"===this.type?(this.normal=c(this.vertices[0],this.vertices[1],this.vertices[2]),this.draw=e):"text"===this.type?
(this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?parseInt(this.fontSize[1]):10,this.draw=d):"edge"===this.type&&(this.draw=l);this.isText&&(this.computeDepth=function(){this.projVert=this.vertices;this.depth=this.vertices[0].z;this.average=this.vertices[0];this.passDraw=1})};a.Primitive3D.prototype.computeDepth=function(b){this.space=b;this.average={x:0,y:0,z:0};this.removeDoubles();this.normal={x:0,y:1,z:0};this.direction={x:1,y:0,z:0};for(var d=0,e=this.vertices.length;d<e;d++)this.spaceVertices[d]=
b.rotateVertex(this.vertices[d]),this.average.x+=this.spaceVertices[d].x,this.average.y+=this.spaceVertices[d].y,this.average.z+=this.spaceVertices[d].z;this.average=a.scalarProduct3D(this.average,1/e);this.depth=a.norm3D(a.subtract3D(b.eye,this.average));2<this.vertices.length&&(this.normal=c(this.spaceVertices[0],this.spaceVertices[1],this.spaceVertices[2]),this.direction=a.dotProduct3D(this.normal,a.normalize3D(b.eye)));this.passDraw=1;d=0;for(e=this.vertices.length;d<e;d++)this.projVert[d]=b.project(this.spaceVertices[d]),
this.passDraw=this.passDraw&&0<this.projVert[d].z;this.minDistanceToEye=Math.Inifinity;this.maxDistanceToEye=-Math.Inifinity;this.miny=this.minx=Math.Inifinity;this.maxx=-Math.Inifinity;this.maxy=-Math.Inifinity;d=0;for(e=this.vertices.length;d<e;d++){var f=a.norm3D(a.subtract3D(this.spaceVertices[d],b.eye));this.minDistanceToEye=Math.min(this.minDistanceToEye,f);this.maxDistanceToEye=Math.max(this.maxDistanceToEye,f)}d=0;for(e=this.vertices.length;d<e;d++)this.minx>this.projVert[d].x&&(minx=this.projVert[d].x),
this.maxx<this.projVert[d].x&&(maxx=this.projVert[d].x),this.miny>this.projVert[d].y&&(miny=this.projVert[d].y),this.mixy<this.projVert[d].y&&(mixy=this.projVert[d].y);b.new3D||(this.passDraw=1)};var n;a.Primitive3D.prototype.removeDoubles=function(){if("edge"!==this.type){n=[];for(var a=0,b=this.vertices.length;a<b;a++)this.vertices[a].x===this.vertices[(a+1)%b].x&&this.vertices[a].y===this.vertices[(a+1)%b].y&&this.vertices[a].z===this.vertices[(a+1)%b].z&&this.vertices[a].w===this.vertices[(a+
1)%b].w||n.push(this.vertices[a]);0===n.length&&n.push(this.vertices[0]);this.vertices=n}};a.Primitive3D.prototype.drawText=function(c,d,e,f,g,h,n,l,u,E,D){c.textNode=d;if("rtfNode"==d.type)c.fillStyle=g,c.strokeStyle=g,c.textBaseline="alphabetic",c.textNode.pos={x:e,y:f},d.draw(c,e,f,u,E,n,D);else for("simpleText"===d.type&&(d=d.toString(u,E).split("\\n")),e+=/Arial|Times/i.test(h)?-2:0,k=this.evaluator,c.fillStyle=a.getColor(k,g),c.font=h,c.textAlign=n,c.textBaseline=l,b=1.2*this.fontSize||0,g=
0,h=d.length;g<h;g++)v=d[g],this.border&&c.strokeText(v,e,f+b*g),c.fillText(v,e,f+b*g)};a.Primitive3D.prototype.splitFace=function(b){if(this.intersects(b)){var c=null,d=null,f=0,e=0,k,g,h,n,l,u;u=this.vertices;var v=b.vertices;k=0;for(l=v.length;k<l;k++)if(n=this.intersection(v[k],v[(k+1)%l]),null!==n)if(null===c){if(c=n,f=k,2===v.length){d=c;break}}else if(!a.equals3DEpsilon(n,c,1E-8)){d=n;e=k;break}if(null!==c&&null!==d){k=this.isInterior(c)||this.isInterior(d);h=g=null;if(!k&&3<=v.length)for(l=
0,u=u.length;l<u;l++)if(n=b.intersection(this.vertices[l],this.vertices[(l+1)%u]),null!==n)if(null===g)g=n;else if(!a.equals3DEpsilon(n,g,1E-8)){h=n;break}if(k||null!==g&&null!==h&&b.isInterior(g)&&b.isInterior(h)){h=!0;u=n=null;if(2===v.length)a.equals3DEpsilon(c,v[0],1E-8)||a.equals3DEpsilon(c,v[1],1E-8)?h=!1:(n=[],n[0]=v[0],n[1]=c,u=[],u[0]=c,u[1]=v[1]);else for(n=[],u=[],k=l=g=0;k<v.length;k++)k<f?n[g++]=v[k]:k==f?(n[g++]=v[k],n[g++]=c,u[l++]=c):k<e?u[l++]=v[k]:k==e?(u[l++]=v[k],u[l++]=d,n[g++]=
d):n[g++]=v[k];if(h)return c=[],c[0]=new a.Primitive3D({vertices:n,type:"face",frontColor:b.frontColor,backColor:b.backColor,edges:b.edges,model:b.model},this.space),c[0].normal=b.normal,c[1]=new a.Primitive3D({vertices:u,type:"face",frontColor:b.frontColor,backColor:b.backColor,edges:b.edges,model:b.model},this.space),c[1].normal=b.normal,c}}}return[b]};a.Primitive3D.prototype.intersects=function(a){return this.intersectsPlane(a)&&a.intersectsPlane(this)};a.Primitive3D.prototype.intersectsPlane=
function(b){var c,d,f,e=this.vertices;c=b.vertices;if(0<c.length){d=a.dotProduct3D(c[0],b.normal);f=a.dotProduct3D(e[0],b.normal);if(1E-8>Math.abs(d-f))return!0;for(var k=1,g=e.length;k<g;k++)if(c=a.dotProduct3D(e[k],b.normal),1E-8>Math.abs(d-c)||c>d&&f<d||c<d&&f>d)return!0}return!1};a.Primitive3D.prototype.intersection=function(b,c){var d=this.vertices;if(0<d.length){var f=a.subtract3D(c,b),e=a.dotProduct3D(f,this.normal);if(0!==e&&(d=a.dotProduct3D(a.subtract3D(d[0],b),this.normal)/e,-1E-8<d&&1.00000001>
d))return a.add3D(b,a.scalarProduct3D(f,d))}return null};a.Primitive3D.prototype.isInterior=function(b){var c=this.vertices;if(0<c.length)for(var d=0,f=a.subtract3D(c[0],b),e=0,k=c.length;e<k;e++){var g=a.subtract3D(c[(e+1)%k],b),h=a.dotProduct3D(a.crossProduct3D(f,g),this.normal);if(1E-8>Math.abs(h)){if(0>a.dotProduct3D(f,g))break}else{if(0>d&&0<h||0<d&&0>h)return!1;f=g;d=h}}return!0};a.Primitive3D.prototype.inFrontOf=function(a,b,c){var f,d;if(this.maxx<=b.minx||this.minx>=b.maxx||this.maxy<=b.miny||
this.miny>=b.maxy||this.minDistanceToEye>=b.maxDistanceToEye)return!1;for(var e=0;3>e;e++){f=null;switch(e){case 0:f=this.intersections(b);break;case 1:f=b.verticesContainedIn(this);break;case 2:f=this.verticesContainedIn(b)}if(null!=f&&f!=[]){for(var k=0;k<f.length;k++)a.push(f[k]);for(var k=0,g=f.length;k<g;k++){d=f[k];d=this.space.rayFromEye(d.x,d.y);try{t=this.distanceToEyeAlong(d)-b.distanceToEyeAlong(d);if(t<=-c)return!0;if(t>=c)return!1}catch(h){console.log("Error: inFrontOf")}}}}return!1};
a.Primitive3D.prototype.intersections=function(b){for(var c=[],d,f,e,k=new a.R2,g=this.spaceVertices,h=b.spaceVertices,n=this.projVert,l=b.projVert,u=0,v=g.length;u<v;u++){b=g[u];d=g[(u+1)%v];for(var H=0,G=h.length;H<G;H++)f=h[H],e=h[(H+1)%G],b!=f&&b!=e&&d!=f&&d!=e&&(f=k.intersection(n[u],n[(u+1)%v],l[H],l[(H+1)%G]),null!=f&&c.push(f))}return c};a.Primitive3D.prototype.distanceToEyeAlong=function(b){b=a.dotProduct3D(this.normal,b);if(1E-6<Math.abs(b))return a.dotProduct3D(a.subtract3D(this.average,
this.space.eye),this.normal)/b};a.Primitive3D.prototype.verticesContainedIn=function(a){for(var b=[],c=this.spaceVertices,f=this.projVert,d=0,e=c.length;d<e;d++)!a.isVertex(c[d])&&a.appearsToContain(f[d])&&b.push(f[d]);return b};a.Primitive3D.prototype.appearsToContain=function(a){for(var b=0,c,f=this.projVert,d=0,e=this.spaceVertices.length;d<e;d++){c=(f[d].x-a.x)*(f[(d+1)%e].y-a.y)-(f[(d+1)%e].x-a.x)*(f[d].y-a.y);if(0!=b)if(1E-8>Math.abs(c)){if(1E-8<Math.abs(f[d].x-f[(d+1)%e].x))return Math.min(f[d].x,
f[(d+1)%e].x)<=a.x+1E-8&&a.x<=Math.max(f[d].x,f[(d+1)%e].x)+1E-8;if(1E-8<Math.abs(f[d].y-f[(d+1)%e].y))return Math.min(f[d].y,f[(d+1)%e].y)<=a.y+1E-8&&a.y<=Math.max(f[d].y,f[(d+1)%e].y)+1E-8}else if(0<b&&0>c||0>b&&0<c)return!1;b=c}return!0};a.Primitive3D.prototype.isVertex=function(b){for(var d=this.spaceVertices,c=0,f=d.length;c<f;c++)if(a.equals3DEpsilon(b,d[c],1E-8))return!0;return!1};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g={x:0,y:0,z:0},e,d,l,c,h,k,b=a.degToRad;
a.Graphic3D=function(b,d){this.parent=b;this.evaluator=b.evaluator;var c=b.evaluator.parser;this.spaceID="E0";this.background=!1;this.type="";this.color=new a.Color("eeffaa");this.backcolor=new a.Color("6090a0");this.Nu=this.evaluator.parser.parse("7");this.Nv=this.evaluator.parser.parse("7");this.drawif=c.parse("1");this.abs_coord=!1;this.family="";this.family_interval=c.parse("[0,1]");this.family_steps=c.parse("8");this.font="Monospaced,PLAIN,12";this.fixed=!0;this.text="";this.decimals=c.parse("2");
this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=c.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=c.parse("(0,0,0)");this.model="color";for(var e in d)d.hasOwnProperty(e)&&(this[e]=d[e]);void 0==this.expresion&&"macro"!=this.type&&(this.expresion=c.parse("(0,0)"));this.space=this.getSpace();this.canvas=this.background?this.space.backCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");this.font=a.convertFont(this.font);this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?
parseFloat(this.fontSize[1]):10;this.inirot.match("Euler")&&(this.inirot=this.inirot.replace("Euler",""),this.inirotEuler=!0);this.endrot.match("Euler")&&(this.endrot=this.endrot.replace("Euler",""),this.endrotEuler=!0);this.inirot=c.parse(this.inirot);this.endrot=c.parse(this.endrot);this.inirotM=new a.Matrix4x4;this.inirotM_X=new a.Matrix4x4;this.inirotM_Y=new a.Matrix4x4;this.inirotM_Z=new a.Matrix4x4;this.iniposM=new a.Matrix4x4;this.endrotM=new a.Matrix4x4;this.endrotM_X=new a.Matrix4x4;this.endrotM_Y=
new a.Matrix4x4;this.endrotM_Z=new a.Matrix4x4;this.endposM=new a.Matrix4x4};a.Graphic3D.prototype.getSpace=function(){for(var a=this.parent.spaces,b,c=0,d=a.length;c<d;c++)if(b=a[c],b.id==this.spaceID)return b;return a[0]};a.Graphic3D.prototype.getFamilyValues=function(){e=this.evaluator;d=e.eval(this.family_interval);this.familyInf=d[0][0];this.familySup=d[0][1];this.fSteps=Math.round(e.eval(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic3D.prototype.buildFamilyPrimitives=
function(){e=this.evaluator;this.getFamilyValues();l=e.getVariable(this.family);if(0<=this.fSteps)for(var a=0,b=this.fSteps;a<=b;a++)e.setVariable(this.family,this.familyInf+a*this.family_sep),this.familyValue=this.familyInf+a*this.family_sep,e.eval(this.drawif)&&this.buildPrimitives();e.setVariable(this.family,l)};a.Graphic3D.prototype.update=function(){this.primitives=[];this.evaluator.eval(this.drawif)&&(this.family||this.buildPrimitives());this.family&&this.buildFamilyPrimitives()};a.Graphic3D.prototype.updateMVMatrix=
function(){h=this.evaluator.eval(this.inirot);this.inirotEuler?(this.inirotM=this.inirotM.setIdentity(),this.inirotM=this.inirotM.rotateZ(b(h[0][0])),this.inirotM=this.inirotM.rotateX(b(h[0][1])),this.inirotM=this.inirotM.rotateZ(b(h[0][2]))):(this.inirotM_X=this.inirotM_X.setIdentity().rotateX(b(h[0][0])),this.inirotM_Y=this.inirotM_Y.setIdentity().rotateY(b(h[0][1])),this.inirotM_Z=this.inirotM_Z.setIdentity().rotateZ(b(h[0][2])));h=this.evaluator.eval(this.inipos);g={x:h[0][0],y:h[0][1],z:h[0][2]};
this.iniposM=this.iniposM.setIdentity().translate(g);h=this.evaluator.eval(this.endrot);this.endrotEuler?(this.endrotM=this.endrotM.setIdentity(),this.endrotM=this.endrotM.rotateZ(b(h[0][0])),this.endrotM=this.endrotM.rotateX(b(h[0][1])),this.endrotM=this.endrotM.rotateZ(b(h[0][2]))):(this.endrotM_X=this.endrotM_X.setIdentity().rotateX(b(h[0][0])),this.endrotM_Y=this.endrotM_Y.setIdentity().rotateY(b(h[0][1])),this.endrotM_Z=this.endrotM_Z.setIdentity().rotateZ(b(h[0][2])));h=this.evaluator.eval(this.endpos);
g={x:h[0][0],y:h[0][1],z:h[0][2]};this.endposM=this.endposM.setIdentity().translate(g)};a.Graphic3D.prototype.transformVertex=function(a){this.inirotEuler?c=this.inirotM.multiplyVector4(a):(c=this.inirotM_X.multiplyVector4(a),c=this.inirotM_Y.multiplyVector4(c),c=this.inirotM_Z.multiplyVector4(c));c=this.iniposM.multiplyVector4(c);this.endrotEuler?c=this.endrotM.multiplyVector4(c):(c=this.endrotM_X.multiplyVector4(c),c=this.endrotM_Y.multiplyVector4(c),c=this.endrotM_Z.multiplyVector4(c));c=this.endposM.multiplyVector4(c);
this.macroChildren&&(c=this.applyMacroTransform(c));return c};a.Graphic3D.prototype.applyMacroTransform=function(a){this.macro_inirotEuler?c=this.macro_inirotM.multiplyVector4(a):(c=this.macro_inirotM_X.multiplyVector4(a),c=this.macro_inirotM_Y.multiplyVector4(c),c=this.macro_inirotM_Z.multiplyVector4(c));c=this.macro_iniposM.multiplyVector4(c);this.macro_endrotEuler?c=this.macro_endrotM.multiplyVector4(c):(c=this.macro_endrotM_X.multiplyVector4(c),c=this.macro_endrotM_Y.multiplyVector4(c),c=this.macro_endrotM_Z.multiplyVector4(c));
return c=this.macro_endposM.multiplyVector4(c)};a.Graphic3D.prototype.parseExpression=function(){k=[];for(var a=this.expresion.replace(/\n/g," ").replace(/ ( )+/g," ").trim(),b=[],c=0,d,e=a.length,f=a.length-1;-1<f;f--)d=a.charAt(f),0==c?"="==d&&(c=1):1==c?" "!=d&&(c="<"==d||">"==d?0:2):2==c&&" "==d&&(b.unshift(a.substring(f+1,e)),e=f,c=0);b.unshift(a.substring(0,e));f=0;for(a=b.length;f<a;f++)k.push(this.evaluator.parser.parse(b[f],!0));return k};var v;a.Graphic3D.prototype.splitFace=function(a){for(var b=
0,c=this.primitives.length;b<c;b++)if(v=[],"face"===this.primitives[b].type){for(var d=0,e=a.primitives.length;d<e;d++)"face"===a.primitives[d].type?v=v.concat(this.primitives[b].splitFace(a.primitives[d])):v.push(a.primitives[d]);a.primitives=v}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c;a.Point3D=function(d,c){a.Graphic3D.call(this,d,c)};a.extend(a.Point3D,a.Graphic3D);a.Point3D.prototype.buildPrimitives=function(){g=this.evaluator;this.updateMVMatrix();
e=g.eval(this.expresion);d=e[0][0];l=e[0][1];c=e[0][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(d,l,c,1))],type:"vertex",backColor:this.backcolor.getColor(),frontColor:this.color.getColor(),size:g.eval(this.width)}));""!==this.text&&this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(d,l,c,1))],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:g.eval(this.decimals),fixed:this.fixed,displace:this.fontSize,
evaluator:g,text:this.text,family:this.family,familyValue:this.familyValue},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k;a.Segment3D=function(b,d){this.width=b.evaluator.parser.parse("1");a.Graphic3D.call(this,b,d)};a.extend(a.Segment3D,a.Graphic3D);a.Segment3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();k=evaluator.getVariable("u");evaluator.setVariable("u",this.Nu);expr=evaluator.eval(this.expresion);
g=expr[0][0];e=expr[0][1];d=expr[0][2];l=expr[1][0];c=expr[1][1];h=expr[1][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,e,d,1)),this.transformVertex(new a.Vector4D(l,c,h,1))],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.eval(this.width)},this.space));evaluator.setVariable("u",k)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u,n,r,p,x;a.Surface3D=function(b,d){this.parameter="t";this.parameter_interval=
b.evaluator.parser.parse("[0,1]");this.parameter_steps=b.evaluator.parser.parse("8");a.Graphic3D.call(this,b,d);this.expresion=this.parseExpression()};a.extend(a.Surface3D,a.Graphic3D);a.Surface3D.prototype.buildPrimitives=function(){g=this.evaluator;this.updateMVMatrix();l=g.getVariable("x");c=g.getVariable("y");h=g.getVariable("z");e=g.getVariable("u");d=g.getVariable("v");g.setVariable("u",0);g.setVariable("v",0);k=g.eval(this.Nu);b=g.eval(this.Nv);v=[];for(n=0;n<=k;n++)for(g.setVariable("u",n/
k),r=0;r<=b;r++){g.setVariable("v",r/b);p=0;for(x=this.expresion.length;p<x;p++)g.eval(this.expresion[p]);v.push(this.transformVertex(new a.Vector4D(g.getVariable("x"),g.getVariable("y"),g.getVariable("z"),1)))}for(n=0;n<k;n++)for(r=0;r<b;r++)u=[],u.push(v[r+n*b+n]),u.push(v[r+1+n*b+n]),u.push(v[r+2+(n+1)*b+n]),u.push(v[r+1+(n+1)*b+n]),this.primitives.push(new a.Primitive3D({vertices:u,type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},
this.space));g.setVariable("x",l);g.setVariable("y",c);g.setVariable("z",h);g.setVariable("u",e);g.setVariable("v",d)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h;a.Polygon3D=function(d,b){this.width=d.evaluator.parser.parse("1");a.Graphic3D.call(this,d,b)};a.extend(a.Polygon3D,a.Graphic3D);a.Polygon3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.eval(this.expresion);for(var k=0,b=expr.length-1;k<b;k++)g=
expr[k][0],e=expr[k][1],d=expr[k][2],l=expr[k+1][0],c=expr[k+1][1],h=expr[k+1][2],this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,e,d,1)),this.transformVertex(new a.Vector4D(l,c,h,1))],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.eval(this.width)},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h;a.Curve3D=function(d,b){this.width=d.evaluator.parser.parse("1");a.Graphic3D.call(this,d,b);
this.expresion=this.parseExpression()};a.extend(a.Curve3D,a.Graphic3D);a.Curve3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();l=evaluator.getVariable("x");c=evaluator.getVariable("y");h=evaluator.getVariable("z");d=evaluator.getVariable("u");evaluator.setVariable("u",0);e=evaluator.eval(this.Nu);g=[];for(var k=0;k<=e;k++){evaluator.setVariable("u",k/e);for(var b=0,v=this.expresion.length;b<v;b++)evaluator.eval(this.expresion[b]);g.push(this.transformVertex(new a.Vector4D(evaluator.getVariable("x"),
evaluator.getVariable("y"),evaluator.getVariable("z"),1)))}k=0;for(b=g.length-1;k<b;k++)this.primitives.push(new a.Primitive3D({vertices:[g[k],g[k+1]],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.eval(this.width)},this.space));evaluator.setVariable("x",l);evaluator.setVariable("y",h);evaluator.setVariable("z",c);evaluator.setVariable("u",d)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v;a.Triangle3D=function(b,d){a.Graphic3D.call(this,
b,d)};a.extend(a.Triangle3D,a.Graphic3D);a.Triangle3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.eval(this.expresion);g=expr[0][0];e=expr[0][1];d=expr[0][2];l=expr[1][0];c=expr[1][1];h=expr[1][2];k=expr[2][0];b=expr[2][1];v=expr[2][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,e,d,1)),this.transformVertex(new a.Vector4D(k,b,v,1)),this.transformVertex(new a.Vector4D(l,c,h,1))],type:"face",frontColor:this.color.getColor(),
backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.Face3D=function(e,d){a.Graphic3D.call(this,e,d)};a.extend(a.Face3D,a.Graphic3D);a.Face3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.eval(this.expresion);g=[];for(var e=expr.length-1;0<=e;e--)g.push(this.transformVertex(new a.Vector4D(expr[e][0],expr[e][1],expr[e][2],1)));this.primitives.push(new a.Primitive3D({vertices:g,
type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c;a.Polireg3D=function(d,c){this.width=d.evaluator.parser.parse("2");this.length=d.evaluator.parser.parse("2");a.Graphic3D.call(this,d,c)};a.extend(a.Polireg3D,a.Graphic3D);a.Polireg3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();g=evaluator.eval(this.Nu);
e=[this.transformVertex(new a.Vector4D(0,0,0,1))];d=evaluator.eval(this.width)/2;l=evaluator.eval(this.length)/2;c=2*Math.PI/g;for(var h=0;h<g;h++)e.push(this.transformVertex(new a.Vector4D(d*Math.cos(c*h),l*Math.sin(c*h),0,1)));for(h=0;h<g;h++)this.primitives.push(new a.Primitive3D({vertices:[e[0],h+2<=g?e[h+2]:e[1],e[h+1]],type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g,e,d,l;a.Text3D=function(d,e){a.Graphic3D.call(this,d,e)};a.extend(a.Text3D,a.Graphic3D);a.Text3D.prototype.buildPrimitives=function(){g=this.evaluator;e=g.eval(this.expresion);d=e[0][0];l=e[0][1];this.primitives.push(new a.Primitive3D({vertices:[new a.Vector4D(d,l,0,1)],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:g.eval(this.decimals),fixed:this.fixed,displace:0,isText:!0,evaluator:g,text:this.text,family:this.family,familyValue:this.familyValue},this.space))};return a}(descartesJS||
{}),descartesJS=function(a,g){if(a.loadLib)return a;var e=new String("-rnd-pi-e-sqr-sqrt-ra\u00edz-exp-log-log10-abs-ent-sgn-ind-sin-sen-cos-tan-cot-sec-csc-sinh-senh-cosh-tanh-coth-sech-csch-asin-asen-acos-atan-min-max-"),d=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,l,c;a.Macro3D=function(c,k){this.expresion=void 0;this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=c.evaluator.parser.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=c.evaluator.parser.parse("(0,0,0)");a.Graphic.call(this,
c,k);for(var b in k)k.hasOwnProperty(b)&&(this[b]=k[b]);this.inirot.match("Euler")&&(this.inirot=this.inirot.replace("Euler",""),this.inirotEuler=!0);this.endrot.match("Euler")&&(this.endrot=this.endrot.replace("Euler",""),this.endrotEuler=!0);this.inirot=this.evaluator.parser.parse(this.inirot);this.endrot=this.evaluator.parser.parse(this.endrot);this.inirotM=new a.Matrix4x4;this.inirotM_X=new a.Matrix4x4;this.inirotM_Y=new a.Matrix4x4;this.inirotM_Z=new a.Matrix4x4;this.iniposM=new a.Matrix4x4;
this.endrotM=new a.Matrix4x4;this.endrotM_X=new a.Matrix4x4;this.endrotM_Y=new a.Matrix4x4;this.endrotM_Z=new a.Matrix4x4;this.endposM=new a.Matrix4x4;this.graphics=[];b=c.lessonParser;var l=new a.Tokenizer;if(void 0!=this.expresion){"'"!==this.expresion.charAt(0)&&(this.expresion="'"+this.expresion+"'");this.expresion=this.evaluator.parser.parse(this.expresion);var u=this.evaluator.eval(this.expresion),n;u&&((n=document.getElementById(u))&&"descartes/macro"==n.type?n=n.text:(n=a.openExternalFile(u))&&
!n.match(/tipo_de_macro/g)&&(n=null));var r,p;if(n){p=n.replace(/&aacute;/g,"\u00e1").replace(/&eacute;/g,"\u00e9").replace(/&iacute;/g,"\u00ed").replace(/&oacute;/g,"\u00f3").replace(/&uacute;/g,"\u00fa").replace(/&Aacute;/g,"\u00c1").replace(/&Eacute;/g,"\u00c9").replace(/&Iacute;/g,"\u00cd").replace(/&Oacute;/g,"\u00d3").replace(/&Uacute;/g,"\u00da").replace(/&ntilde;/g,"\u00f1").replace(/&Ntilde;/g,"\u00d1").replace(/\&gt;/g,">").replace(/\&lt;/g,"<").replace(/\&amp;/g,"&").replace(/\r/g,"").split("\n");
n=[];for(var u=0,x=p.length;u<x;u++)r=p[u].indexOf("="),-1!==r&&(r=p[u].substring(0,r),"id"!==g[r]&&"type"!==g[r]||n.push(b.split(p[u])));for(var f,q,m,w,u=0,x=n.length;u<x;u++)for(w=(f=n[u]||[],f[0])&&"id"===f[0][0],p=0,r=f.length;p<r;p++)if(q=f[p][0].indexOf("."),-1===q||w?q=g[f[p][0]]:(q=g[f[p][0].substring(q+1)],f[p][0]=this.name+"."+f[p][0]),!("font"===q||("fill"===q||"color"===q||"backcolor"===q||"arrow"===q)&&"("!==f[p][1].charAt(0)||"file"===q&&f[p][1].match(d)||"id"!==q&&void 0!==g[f[p][1]])||
"width"===q||"height"===q||"length"===q)if("text"==q)if(f[p][1].match(/\{\\rtf1/)){q=f[p][1];var y=this;m=function(a,b){for(var d=l.tokenize(b.replace(/\&squot;/g,"'")),c=0,f=d.length;c<f;c++)"identifier"!=d[c].type||e.match("-"+d[c].value+"-")||(d[c].value=y.name+"."+d[c].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+l.flatTokens(d)};q=q.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,m);q=q.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,m);f[p][1]=
q}else{m=b.parseText(f[p][1]).textElementsMacro3Ds;for(var B=0,E=m.length;B<E;B++){q=l.tokenize(m[B].replace(/\&squot;/g,"'"));for(var D=0,F=q.length;D<F;D++)"identifier"!==q[D].type||e.match("-"+q[D].value+"-")||(q[D].value=this.name+"."+q[D].value);q=l.flatTokens(q).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");m[B]=q.substring(1,q.length-1)}f[p][1]=m.join("")}else{q=l.tokenize(f[p][1]);m=0;for(B=q.length;m<B;m++)"identifier"!==q[m].type||e.match("-"+q[m].value+"-")||(q[m].value=
this.name+"."+q[m].value);f[p][1]=l.flatTokens(q)}u=0;for(x=n.length;u<x;u++)if(n[u][0]){f="";w=!1;p=0;for(r=n[u].length;p<r;p++)"type"===g[n[u][p][0]]&&(f="espacio='"+this.spaceID+"' ",w=!0),f=f+n[u][p][0]+"='"+n[u][p][1]+"' ";n[u]=f;w?this.graphics.push(b.parse3DGraphic(n[u],this.abs_coord,this.background,this.inirot)):b.parseAuxiliar(n[u])}}u=0;for(x=this.graphics.length;u<x;u++)this.graphics[u].macroChildren=!0}};a.extend(a.Macro3D,a.Graphic);a.Macro3D.prototype.update=function(){this.updateTransformation();
if(this.inipos){var a=this.evaluator.eval(this.inipos);this.iniPosX=a[0][0];this.iniPosY=a[0][1]}this.primitives=[];for(var a=0,d=this.graphics.length;a<d;a++)l=this.graphics[a],l.macro_inirotEuler=this.inirotEuler,l.macro_inirotM=this.inirotM,l.macro_inirotM_X=this.inirotM_X,l.macro_inirotM_Y=this.inirotM_Y,l.macro_inirotM_Z=this.inirotM_Z,l.macro_iniposM=this.iniposM,l.macro_endrotEuler=this.endrotEuler,l.macro_endrotM=this.endrotM,l.macro_endrotM_X=this.endrotM_X,l.macro_endrotM_Y=this.endrotM_Y,
l.macro_endrotM_Z=this.endrotM_Z,l.macro_endposM=this.endposM,l.update();a=0;for(d=this.graphics.length;a<d;a++){l=this.graphics[a];if(l.split||this.split)for(var b=a+1;b<d;b++)c=this.graphics[b],(c.split||this.split)&&l.splitFace(c);this.primitives=this.primitives.concat(l.primitives||[])}};a.Macro3D.prototype.updateTransformation=function(){tmpExpr=this.evaluator.eval(this.inirot);this.inirotEuler?(this.inirotM=this.inirotM.setIdentity(),this.inirotM=this.inirotM.rotateZ(a.degToRad(tmpExpr[0][0])),
this.inirotM=this.inirotM.rotateX(a.degToRad(tmpExpr[0][1])),this.inirotM=this.inirotM.rotateZ(a.degToRad(tmpExpr[0][2]))):(this.inirotM_X=this.inirotM_X.setIdentity().rotateX(a.degToRad(tmpExpr[0][0])),this.inirotM_Y=this.inirotM_Y.setIdentity().rotateY(a.degToRad(tmpExpr[0][1])),this.inirotM_Z=this.inirotM_Z.setIdentity().rotateZ(a.degToRad(tmpExpr[0][2])));tmpExpr=this.evaluator.eval(this.inipos);translate={x:tmpExpr[0][0],y:tmpExpr[0][1],z:tmpExpr[0][2]};this.iniposM=this.iniposM.setIdentity().translate(translate);
tmpExpr=this.evaluator.eval(this.endrot);this.endrotEuler?(this.endrotM=this.endrotM.setIdentity(),this.endrotM=this.endrotM.rotateZ(a.degToRad(tmpExpr[0][0])),this.endrotM=this.endrotM.rotateX(a.degToRad(tmpExpr[0][1])),this.endrotM=this.endrotM.rotateZ(a.degToRad(tmpExpr[0][2]))):(this.endrotM_X=this.endrotM_X.setIdentity().rotateX(a.degToRad(tmpExpr[0][0])),this.endrotM_Y=this.endrotM_Y.setIdentity().rotateY(a.degToRad(tmpExpr[0][1])),this.endrotM_Z=this.endrotM_Z.setIdentity().rotateZ(a.degToRad(tmpExpr[0][2])));
tmpExpr=this.evaluator.eval(this.endpos);translate={x:tmpExpr[0][0],y:tmpExpr[0][1],z:tmpExpr[0][2]};this.endposM=this.endposM.setIdentity().translate(translate)};a.Macro3D.prototype.drawAux=function(a){};return a}(descartesJS||{},babel),descartesJS=function(a){function g(a,b,d,c,f){e.call(this,a/1.8,a/1.8,a/1.8,c,f)}function e(a,b,d,c,e){a/=2;b/=2;d/=2;this.changeGeometry(a,b,d,c,e)||(this.vertices=[new f(a,d,b,1),new f(a,-d,b,1),new f(a,d,-b,1),new f(a,-d,-b,1),new f(-a,d,b,1),new f(-a,-d,b,1),
new f(-a,d,-b,1),new f(-a,-d,-b,1)],this.faces=[[2,3,1,0],[1,5,4,0],[5,7,6,4],[6,7,3,2],[4,6,2,0],[3,7,5,1]],this.updateValues(a,b,d,c,e))}function d(a,b,d,c,e){a/=2;this.changeGeometry(a,b,d,c,e)||(this.vertices=[new f(0,0,a,1),new f(-.49*a,-.86*a,-.32*a,1),new f(-.49*a,.86*a,-.32*a,1),new f(1*a,0,-.32*a,1)],this.faces=[[3,2,1],[1,2,0],[2,3,0],[3,1,0]],this.updateValues(a,b,d,c,e))}function l(a,b,d,c,e){a/=2;this.changeGeometry(a,b,d,c,e)||(this.vertices=[new f(0,0,a,1),new f(a,0,0,1),new f(-a,0,
0,1),new f(0,a,0,1),new f(0,-a,0,1),new f(0,0,-a,1)],this.faces=[[3,1,0],[2,3,0],[1,4,0],[4,2,0],[1,3,5],[3,2,5],[4,1,5],[2,4,5]],this.updateValues(a,b,d,c,e))}function c(b,d,c,e,k){b/=3.4;if(!this.changeGeometry(b,d,c,e,k)){F=b/1.6180339887;H=1.6180339887*b;this.vertices=[new f(b,b,b,1),new f(b,b,-b,1),new f(b,-b,b,1),new f(b,-b,-b,1),new f(-b,b,b,1),new f(-b,b,-b,1),new f(-b,-b,b,1),new f(-b,-b,-b,1),new f(0,F,H,1),new f(0,F,-H,1),new f(0,-F,H,1),new f(0,-F,-H,1),new f(F,H,0,1),new f(F,-H,0,1),
new f(-F,H,0,1),new f(-F,-H,0,1),new f(H,0,F,1),new f(H,0,-F,1),new f(-H,0,F,1),new f(-H,0,-F,1)];G=(new a.Matrix4x4).setIdentity().rotateY(-p/6);A=0;for(J=this.vertices.length;A<J;A++)this.vertices[A]=G.multiplyVector4(this.vertices[A]);this.faces=[[0,16,2,10,8],[12,1,17,16,0],[8,4,14,12,0],[2,16,17,3,13],[13,15,6,10,2],[6,18,4,8,10],[3,17,1,9,11],[13,3,11,7,15],[1,12,14,5,9],[11,9,5,19,7],[5,14,4,18,19],[6,15,7,19,18]];this.updateValues(b,d,c,e,k)}}function h(b,d,c,e,k){b/=4;if(!this.changeGeometry(b,
d,c,e,k)){H=1.6180339887*b;this.vertices=[new f(0,b,H,1),new f(0,b,-H,1),new f(0,-b,H,1),new f(0,-b,-H,1),new f(b,H,0,1),new f(b,-H,0,1),new f(-b,H,0,1),new f(-b,-H,0,1),new f(H,0,b,1),new f(H,0,-b,1),new f(-H,0,b,1),new f(-H,0,-b,1)];this.faces=[[10,0,2],[0,8,2],[8,5,2],[5,7,2],[7,10,2],[6,0,10],[11,6,10],[7,11,10],[7,3,11],[5,3,7],[9,3,5],[8,9,5],[4,9,8],[0,4,8],[6,4,0],[11,3,1],[6,11,1],[4,6,1],[9,4,1],[3,9,1]];G=(new a.Matrix4x4).setIdentity().rotateY(-1.029);A=0;for(J=this.vertices.length;A<
J;A++)this.vertices[A]=G.multiplyVector4(this.vertices[A]);this.updateValues(b,d,c,e,k)}}function k(a,b,d,c,e){a/=2;this.isSphere?d=b=a:(b/=2,d/=2);if(!this.changeGeometry(a,b,d,c,e)){this.vertices=[new f(0,0,b,1)];for(A=1;A<c;A++)for(D=A*p/c,I=0;I<e;I++)E=I*x/e,w=a*n(D)*r(E),y=d*n(D)*n(E),B=b*r(D),this.vertices.push(new f(w,y,B,1));this.vertices.push(new f(0,0,-b,1));this.faces=[];for(A=0;A<e;A++)this.faces.push([0,(A+1)%e+1,A%e+1]);for(A=1;A<c-1;A++)for(I=0;I<e;I++)this.faces.push([I+1+(A-1)*e,
(I+1)%e+1+(A-1)*e,(I+1)%e+1+A*e,I+1+A*e]);for(A=0;A<e;A++)this.faces.push([this.vertices.length-1,this.vertices.length-1-e+A,this.vertices.length-1-e+(A+1)%e]);this.updateValues(a,b,d,c,e)}}function b(a,b,d,c,e){a/=2;b/=2;d/=2;if(!this.changeGeometry(a,b,d,c,e)){this.vertices=[];for(A=0;A<e;A++)for(I=0;I<c;I++)w=a*(e-A)/e*r(I*x/c),y=d*(e-A)/e*n(I*x/c),B=b-2*A*b/e,this.vertices.push(new f(w,y,B,1));this.vertices.push(new f(0,0,-b,1));this.faces=[];for(A=0;A<e-1;A++)for(I=0;I<c;I++)this.faces.push([I+
A*c,(I+1)%c+A*c,(I+1)%c+(A+1)*c,I+(A+1)*c]);for(A=0;A<c;A++)this.faces.push([this.vertices.length-1,this.vertices.length-1-c+A,this.vertices.length-1-c+(A+1)%c]);this.updateValues(a,b,d,c,e)}}function v(a,b,d,c,e){a/=2;b/=2;d/=2;if(!this.changeGeometry(a,b,d,c,e)){this.vertices=[];for(A=0;A<e+1;A++)for(I=0;I<c;I++)w=a*r(I*x/c),y=d*n(I*x/c),B=b-2*A*b/e,this.vertices.push(new f(w,y,B,1));this.faces=[];for(A=0;A<e;A++)for(I=0;I<c;I++)this.faces.push([I+A*c,(I+1)%c+A*c,(I+1)%c+(A+1)*c,I+(A+1)*c]);this.updateValues(a,
b,d,c,e)}}function u(){function a(b){return parseInt(b)}function b(a){return parseFloat(a)}this.vertices=[];this.faces=[];A=0;for(J=this.fileData.length;A<J;A++)K=this.fileData[A],K.match(/^V\(/)?(C=K.substring(2,K.length-1).split(",").map(b),this.vertices.push(new f(C[0]||0,C[1]||0,C[2]||0,1))):K.match(/^F\(/)&&(C=K.substring(2,K.length-1).split(",").map(a),this.faces.push(C.reverse()))}if(a.loadLib)return a;var n=Math.sin,r=Math.cos,p=Math.PI,x=2*p,f,q,m,w,y,B,E,D,F,H,G,K,C,A,J,I,N;a.OtherGeometry=
function(n,r){this.width=n.evaluator.parser.parse("2");this.height=n.evaluator.parser.parse("2");this.length=n.evaluator.parser.parse("2");f=a.Vector4D;a.Graphic3D.call(this,n,r);switch(this.type){case "cube":this.buildGeometry=g;break;case "box":this.buildGeometry=e;break;case "tetrahedron":this.buildGeometry=d;break;case "octahedron":this.buildGeometry=l;break;case "sphere":this.isSphere=!0;case "ellipsoid":this.buildGeometry=k;break;case "dodecahedron":this.buildGeometry=c;break;case "icosahedron":this.buildGeometry=
h;break;case "cone":this.buildGeometry=b;break;case "cylinder":this.buildGeometry=v;break;case "mesh":this.fileData=a.openExternalFile(this.evaluator.eval(this.file)).split(/\r/),this.buildGeometry=u}};a.extend(a.OtherGeometry,a.Graphic3D);a.OtherGeometry.prototype.buildPrimitives=function(){q=this.evaluator;this.updateMVMatrix();this.buildGeometry(q.eval(this.width),q.eval(this.height),q.eval(this.length),q.eval(this.Nu),q.eval(this.Nv));A=0;for(J=this.faces.length;A<J;A++){m=[];I=0;for(N=this.faces[A].length;I<
N;I++)m.push(this.transformVertex(this.vertices[this.faces[A][I]]));this.primitives.push(new a.Primitive3D({vertices:m,type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))}};a.OtherGeometry.prototype.changeGeometry=function(a,b,d,c,f){return this.oldWidth===a&&this.oldHeight===b&&this.oldLength===d&&this.oldNu===c&&this.oldNv===f};a.OtherGeometry.prototype.updateValues=function(a,b,d,c,f){this.oldWidth=a;this.oldHeight=b;
this.oldLength=d;this.oldNv=f;this.oldNu=c};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.max,e=Math.min,d=Math.PI,l=Math.cos,c=Math.sin,h=Math.abs,k=Math.round,b,v,u,n,r,p,x,f,q,m,w,y,B,E,D,F,H,G;a.R2=function(a,b){this.x=a||0;this.y=b||0};a.R2.prototype.set=function(a,b){this.x=a||0;this.y=b||0;return this};a.R2.prototype.copy=function(){return new a.R2(this.x,this.y)};a.R2.prototype.ix=function(){return k(g(e(this.x,32E3),-32E3))};a.R2.prototype.iy=function(){return k(g(e(this.y,
32E3),-32E3))};a.R2.prototype.equals=function(a){return this.x==a.x&&this.y==a.y};a.R2.prototype.norm2=function(){return this.x*this.x+this.y*this.y};a.R2.prototype.norm=function(){return Math.sqrt(this.norm2())};a.R2.prototype.distance=function(a){v=this.copy();v.sub(a);return v.norm()};a.R2.prototype.dot=function(a){return this.x*a.x+this.y*a.y};a.R2.prototype.det=function(a){return this.x*a.y-this.y*a.x};a.R2.prototype.mul=function(a){this.x*=a;this.y*=a};a.R2.prototype.div=function(a){this.x/=
a;this.y/=a};a.R2.prototype.add=function(a){this.x+=a.x;this.y+=a.y};a.R2.prototype.sub=function(a){this.x-=a.x;this.y-=a.y};a.R2.prototype.normalize=function(){b=this.norm();0!=b&&this.div(b)};a.R2.prototype.rotR90=function(){b=this.x;this.x=this.y;this.y=-b};a.R2.prototype.rotL90=function(){b=this.x;this.x=-this.y;this.y=b};a.R2.prototype.rot=function(a){u=this.copy();p=l(a);x=c(a);this.x=u.x*p-u.y*x;this.y=u.x*x+u.y*p};a.R2.prototype.rot=function(a){this.rot(a*d/180)};a.R2.prototype.intersection=
function(b,d,c,k){f=d.x-b.x;q=c.x-k.x;m=c.x-b.x;w=d.y-b.y;y=c.y-k.y;B=c.y-b.y;G=f*y-q*w;return 1E-6<h(G)?(n=(m*y-B*q)/G,r=(-m*w+B*f)/G,0<=n&&1>=n&&0<=r&&1>=r?new a.R2(b.x+f*n,b.y+w*n):null):(d.x-c.x)*B!=(d.y-c.y)*m?null:b.x!=d.x?(E=e(b.x,d.x),D=g(b.x,d.x),E<=c.x&&c.x<=D?c:E<=k.x&&k.x<=D?k:null):c.x!=k.x?(F=e(c.x,k.x),H=g(c.x,k.x),F<=b.x&&b.x<=H?b:F<=d.x&&d.x<=H?d:null):b.y!=d.y?(E=e(b.y,d.y),D=g(b.y,d.y),E<=c.y&&c.y<=D?c:E<=k.y&&k.y<=D?k:null):c.y!=k.y?(F=e(c.y,k.y),H=g(c.y,k.y),F<=b.y&&b.y<=H?b:
F<=d.y&&d.y<=H?d:null):b.x==c.x&&b.y==c.y?b:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v;a.R2Newton=function(b,d){this.evaluator=b;this.constraint=d;if("=="==this.constraint.value||"<"==this.constraint.value||"<="==this.constraint.value||">"==this.constraint.value||">="==this.constraint.value)this.sign="<"==this.constraint.value||"<="==this.constraint.value?"menor":">"==this.constraint.value||">="==this.constraint.value?"mayor":"igual",this.constraint=
this.constraint.equalToMinus(),this.constraint=this.constraint.childs[0];h=new a.R2(0,0);c=new a.R2(0,0);v=new a.R2(0,0)};a.R2Newton.prototype.getUnitNormal=function(){this.normal.normalize();return v.set(this.normal.x,this.normal.y)};a.R2Newton.prototype.gradient=function(a){g=this.evaluator;h.x=0;h.y=0;k=g.getVariable("x");b=g.getVariable("y");g.setVariable("x",a.x);g.setVariable("y",a.y);this.f0=g.eval(this.constraint);g.setVariable("x",g.getVariable("x")+1E-6);e=g.eval(this.constraint);h.x=(e-
this.f0)/1E-6;h.x=isNaN(h.x)?Infinity:h.x;g.setVariable("x",g.getVariable("x")-1E-6);g.setVariable("y",g.getVariable("y")+1E-6);e=g.eval(this.constraint);h.y=(e-this.f0)/1E-6;h.y=isNaN(h.y)?Infinity:h.y;g.setVariable("x",k);g.setVariable("y",b);return h};a.R2Newton.prototype.findZero=function(a,e,h){g=this.evaluator;c.x=a.x;c.y=a.y;k=g.getVariable("x");b=g.getVariable("y");g.setVariable("x",a.x);g.setVariable("y",a.y);this.f0=g.eval(this.constraint);if("menor"===this.sign&&0>=this.f0||"mayor"===this.sign&&
0<=this.f0)return c;g.setVariable("x",k);g.setVariable("y",b);for(var p=0;16>p;p++)if(d=c.x,l=c.y,this.normal=this.gradient(c),0!=this.normal.norm2()&&this.normal.mul(-this.f0/this.normal.norm2()),c.x=d+this.normal.x,c.y=l+this.normal.y,this.normal.norm()<e)return 0===this.normal.x&&0===this.normal.y&&(this.normal.x=c.x-a.x,this.normal.y=c.y-a.y),c;return h?c:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Vector2D=function(a,e){this.x=a;this.y=e};a.Vector2D.AXIS_X=
new a.Vector2D(1,0);a.Vector2D.AXIS_Y=new a.Vector2D(0,1);a.Vector2D.prototype.vectorLength=function(){return Math.sqrt(this.x*this.x+this.y*this.y)};a.Vector2D.prototype.dotProduct=function(a){return this.x*a.x+this.y*a.y};a.Vector2D.prototype.angleBetweenVectors=function(a){return Math.acos(this.dotProduct(a)/(this.vectorLength()*a.vectorLength()))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,e=Math.round,d,l,c,h,k,b,v,u,n,r,p,x,f;a.Control=function(b,
d){this.parent=b;this.evaluator=b.evaluator;var c=this.parser=b.evaluator.parser;this.id="graphic"!==d.type?"C":"G";this.gui=this.type="";this.region="south";this.y=this.x=0;this.w="video"!==d.type?100:350;this.h="video"!==d.type?23:120;"graphic"!==d.type&&"audio"!==d.type&&"video"!==d.type?"text"!==d.type?this.expresion=c.parse("(0,0,100,23)"):(this.expresion=c.parse("(0,0,300,200)"),this.w=300,this.h=200):this.expresion=c.parse("(0,0)");this.fixed=2!=this.parent.version?!1:!0;this.visible=!0;this.color=
new a.Color(4>this.parent.version?"000000":"222222");this.colorInt=new a.Color("graphic"!==d.type?"f0f8ff":"cc0022");this.underlined=this.italics=this.bold="";this.font_size=4>this.parent.version?-1:c.parse("12");this.parameter=this.action="";this.parameterFont="Monospace 12px";this.drawif=c.parse("1");this.activeif=c.parse("1");this.tooltip="";this.tooltipFont="Monospace 12px";this.Explanation="";this.ExplanationFont="Monospace 12px";this.cID=this.msg_pos="";this.valueExpr=c.parse("0");this.decimals=
c.parse("2");this.min=c.parse("-Infinity");this.max=c.parse("Infinity");this.incr=c.parse("0.1");this.exponentialif=this.discrete=!1;this.zIndex=-1;for(var f in d)d.hasOwnProperty(f)&&(this[f]=d[f]);"video"!==this.type&&"audio"!==this.type||"interior"===this.region||(this.region="interior");void 0==this.name&&(this.name=2==this.parent.version?this.id:"_nada_");this.name="_._"==this.name||"_nada_"==this.name||"_void_"==this.name?"":this.name;c=this.evaluator.eval(this.expresion);this.x=e(c[0][0]);
this.y=e(c[0][1]);4==c[0].length&&(this.w=e(c[0][2]),this.h=e(c[0][3]));this.actionExec=b.lessonParser.parseAction(this)};a.Control.prototype.init=function(){};a.Control.prototype.update=function(){};a.Control.prototype.draw=function(){};a.Control.prototype.getContainer=function(){var a=this.parent.spaces,b;if("interior"===this.region)for(var d=0,c=a.length;d<c;d++){if(b=a[d],b.id===this.spaceID)return b.addCtr(this),this.zIndex=b.zIndex,b.numericalControlContainer}else{if("external"===this.region)return this.parent.externalSpace.addCtr(this),
this.parent.externalSpace.container;if("scenario"===this.region)return this.cID?(this.expresion=this.evaluator.parser.parse("(0,-1000,"+this.w+","+this.h+")"),this.parent.stage.stageSpace.addCtr(this),this.zIndex=this.parent.stage.stageSpace.zIndex,this.parent.stage.stageSpace.numericalControlContainer):this.parent.externalSpace.container;if(/north|south|east|west/.test(this.region))return this.parent[this.region+"Space"].controls.push(this),this.parent[this.region+"Space"].container}a[0].addCtr(this);
this.zIndex=a[0].zIndex;return a[0].numericalControlContainer};a.Control.prototype.addControlContainer=function(a){var b=this.getContainer();b.childNodes[0]?b.insertBefore(a,b.childNodes[0]):b.appendChild(a)};a.Control.prototype.updatePositionAndSize=function(){c=h=k=b=!1;v=this.evaluator.eval(this.expresion);u=e(v[0][0]);c=e(this.x)!==u;this.x=u;u=e(v[0][1]);h=e(this.y)!==u;this.y=u;4===v[0].length&&(u=e(v[0][2]),k=e(this.w)!==u,this.w=u,u=e(v[0][3]),b=e(this.h)!==u,this.h=u);if(k||b||c||h)this.init(!0),
this.draw()};a.Control.prototype.formatOutputValue=function(a){f=this.parent;n=a+"";r=this.evaluator.eval(this.decimals);p=n.indexOf(".");-1!=p&&(x=n.substring(p+1),x.length>r&&(n=parseFloat(n).toFixed(r)));this.fixed&&(2!==f.version||2===f.version&&!this.exponentialif)&&(n=parseFloat(a).toFixed(r));this.exponentialif&&0!=parseFloat(n)&&(n=this.fixed&&2!==f.version?parseFloat(n).toExponential(r):parseFloat(n).toExponential(),n=n.toUpperCase().replace("+",""));return n.replace(".",f.decimal_symbol)};
a.Control.prototype.updateAndExecAction=function(){this.parent.updateControls();"init"===this.action&&(this.click=!1);this.actionExec.execute();this.parent.updateControls();"animate"!==this.action&&this.parent.update()};a.Control.prototype.createGradient=function(a,b){this.linearGradient=this.ctx.createLinearGradient(0,0,0,b);d=b*b;for(var c=0;c<b;c++)l=g(c-35*b/100),this.linearGradient.addColorStop(c/b,"rgba(0,0,0,"+l*l*192/d/255+")")};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g=Math.floor,e=Math.abs,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y,B,E=/[\w\.\-//]*(\.gif)/gi,D,F,H,G,K,C,A,J,I,N,z,M,L;a.Button=function(b,d){this.imageSrc="";this.image=new Image;this.imageOver=new Image;this.imageDown=new Image;a.Control.call(this,b,d);this.ratio=b.ratio;-1===this.font_size&&(this.fontSizeNotSet=!0);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");
var c;this.classContainer="";if(this.imageSrc.trim().match("^_STYLE_")){this.customStyle=!0;this.canvasStyle=[];this.conStyle=[];this.conStyle.textBorder=3;c=this.imageSrc.trim().substring(8).split("|");for(var f,e,k=0,g=c.length;k<g;k++)f=c[k],e=f.match(/rgb/g),f.match("class=")?this.classContainer=" "+f.substring(6):f.match("border=")?(this.canvasStyle.push({type:"border-style",value:"solid"}),this.canvasStyle.push({type:"border-width",value:f.substring(7).trim()+"px"})):f.match("borderRadius=")?
(this.canvasStyle.push({type:"border-radius",value:f.substring(13).trim()+"px"}),this.conStyle.push({type:"border-radius",value:f.substring(13).trim()+"px"})):f.match("borderColor=")?this.canvasStyle.push({type:"border-color",value:(e?"":"#")+f.substring(12).trim()}):f.match("overColor=")?this.conStyle.overColor=(e?"":"#")+f.substring(10).trim():f.match("downColor=")?this.conStyle.downColor=(e?"":"#")+f.substring(10).trim():f.match("font=")?this.conStyle.font=f.substring(5).trim().toLowerCase():f.match("inactiveColor=")?
this.conStyle.inactiveColor=(e?"":"#")+f.substring(14).trim():f.match("inactiveColorBorder=")?this.conStyle.inactiveColorBorder=(e?"":"#")+f.substring(20).trim():f.match("shadowTextBlur=")?this.conStyle.shadowTextBlur=parseFloat(f.substring(15).trim()):f.match("shadowTextOffsetX=")?this.conStyle.shadowTextOffsetX=parseFloat(f.substring(18).trim()):f.match("shadowTextOffsetY=")?this.conStyle.shadowTextOffsetY=parseFloat(f.substring(18).trim()):f.match("shadowTextColor=")?this.conStyle.shadowTextColor=
(e?"":"#")+f.substring(16).trim():f.match("shadowBoxBlur=")?this.conStyle.shadowBoxBlur=parseFloat(f.substring(14).trim()):f.match("shadowBoxOffsetX=")?this.conStyle.shadowBoxOffsetX=parseFloat(f.substring(17).trim()):f.match("shadowBoxOffsetY=")?this.conStyle.shadowBoxOffsetY=parseFloat(f.substring(17).trim()):f.match("shadowBoxColor=")?this.conStyle.shadowBoxColor=(e?"":"#")+f.substring(15).trim():f.match("shadowInsetBoxBlur=")?this.conStyle.shadowInsetBoxBlur=parseFloat(f.substring(19).trim()):
f.match("shadowInsetBoxOffsetX=")?this.conStyle.shadowInsetBoxOffsetX=parseFloat(f.substring(22).trim()):f.match("shadowInsetBoxOffsetY=")?this.conStyle.shadowInsetBoxOffsetY=parseFloat(f.substring(22).trim()):f.match("shadowInsetBoxColor=")?this.conStyle.shadowInsetBoxColor=(e?"":"#")+f.substring(20).trim():f.match("textBorder=")&&(this.conStyle.textBorder=parseFloat(f.substring(11).trim()));this.imageSrc="vacio.gif"}this.imageSrc.match("_COLORES_")&&(c=this.imageSrc.split("_"),this.colorInt=new a.Color(c[2]),
this.color=new a.Color(c[3]),this.font_size=this.parser.parse(c[5]),this.imageSrc="");"["==this.imageSrc.charAt(0)?this.imageSrc=this.parser.parse(this.imageSrc.substring(1,this.imageSrc.length-1)):this.imageSrc=this.parser.parse("'"+this.imageSrc+"'");c=this.evaluator.eval(this.imageSrc).toString().trim();""!=c&&(f=c.substr(0,c.lastIndexOf(".")),e=c.substr(c.lastIndexOf(".")),c.toLowerCase().match(/vacio.gif$/)?(this.imageSrc=this.parser.parse("'vacio.gif'"),this.image.ready=1,3===this.parent.version&&
(this.name=this.parser.parse("")),this.emptyImage={ready:!0},this.parser.parse("'vacio.gif'")):(this.image=this.parent.getImage(c),f&&(this.imageOver=this.parent.getImage(f+"_over"+e),this.imageDown=this.parent.getImage(f+"_down"+e))));this.container=document.createElement("div");this.container.setAttribute("class","DescartesButtonContainer"+this.classContainer);this.container.setAttribute("id",this.id);this.container.setAttribute("style","width:"+this.w+"px; height:"+this.h+"px; left:"+this.x+"px; top:"+
this.y+"px; z-index:"+this.zIndex+";");this.canvas=document.createElement("canvas");this.canvas.width=this.w*this.ratio;this.canvas.height=this.h*this.ratio;this.canvas.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px; -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box;");this.ctx=this.canvas.getContext("2d");this.ctx.imageSmoothingEnabled=!1;this.container.appendChild(this.canvas);this.addControlContainer(this.container);
this.addEvents();this.init()};a.extend(a.Button,a.Control);a.Button.prototype.init=function(b){d=this.evaluator;D=this.container;l=this.canvas;c=this.ctx;h=d.eval(this.expresion);this.x=h[0][0];this.y=h[0][1];4==h[0].length&&(this.w=parseInt(h[0][2]),this.h=parseInt(h[0][3]));l.width=this.w*this.ratio;l.height=this.h*this.ratio;l.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px; -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box;");
D.setAttribute("style","width:"+this.w+"px; height:"+this.h+"px; left:"+this.x+"px; top:"+this.y+"px; z-index:"+this.zIndex+"; display:block;");if(this.canvasStyle)for(var f=0,e=this.canvasStyle.length;f<e;f++)l.style[this.canvasStyle[f].type]=this.canvasStyle[f].value;if(this.conStyle){f=0;for(e=this.conStyle.length;f<e;f++)D.style[this.conStyle[f].type]=this.conStyle[f].value;if(this.conStyle.shadowBoxColor){var f=this.conStyle.shadowBoxOffsetX||0,e=this.conStyle.shadowBoxOffsetY||2,k=this.conStyle.shadowBoxBlur||
2;D.style.boxShadow=f+"px "+e+"px "+k+"px 1px "+this.conStyle.shadowBoxColor}this.conStyle.shadowInsetBoxColor&&(f=this.conStyle.shadowInsetBoxOffsetX||0,e=this.conStyle.shadowInsetBoxOffsetY||-2,k=this.conStyle.shadowInsetBoxBlur||1,l.style.boxShadow=f+"px "+e+"px "+k+"px 1px "+this.conStyle.shadowInsetBoxColor+" inset");this.conStyle.shadowTextColor&&(c.shadowBlur=this.conStyle.shadowTextBlur||1,c.shadowOffsetX=this.conStyle.shadowTextOffsetX||0,c.shadowOffsetY=this.conStyle.shadowTextOffsetY||
2,c.shadowColor=this.conStyle.shadowTextColor)}this.fontSizeNotSet&&(this.font_size=d.parser.parse(a.getFieldFontSize(this.h)+""));this.fs_evaluated=d.eval(this.font_size);this.createGradient(this.w,this.h);D.style.display=0<d.eval(this.drawif)?"block":"none";c.textAlign="center";c.textBaseline="middle";c.lineJoin="round";c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+"px "+a.sansserif_font;this.customStyle&&("serif"==this.conStyle.font?c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+
"px "+a.serif_font:"monospace"==this.conStyle.font&&(c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+"px "+a.monospace_font));this.draw(b)};a.Button.prototype.update=function(){d=this.evaluator;D=this.container;l=this.canvas;this.activeIfValue=0<d.eval(this.activeif);(this.drawIfValue=0<d.eval(this.drawif))?(D.style.display="block",this.draw()):(D.style.display="none",this.buttonClick=!1);D.style.cursor=this.activeIfValue?"pointer":"not-allowed";l.style.cursor=this.activeIfValue?"pointer":
"not-allowed";D.setAttribute("data-active",this.activeIfValue?"true":"false");this.updatePositionAndSize()};a.Button.prototype.draw=function(e){D=this.container;d=this.evaluator;l=this.canvas;c=this.ctx;b=d.eval(this.name);v=this.evaluator.eval(this.imageSrc).toString().trim();if(!e&&(F=this.over===this.oldOver,H=this.buttonClick===this.oldButtonClick,G=this.activeIfValue===this.oldActiveIfValue,K=this.drawIfValue===this.oldDrawIfValue,C=b===this.oldName,A=v===this.oldImageSrc,this.oldOver=this.over,
this.oldButtonClick=this.buttonClick,this.oldActiveIfValue=this.activeIfValue,this.oldDrawIfValue=this.drawIfValue,this.oldName=b,this.oldImageSrc=v,F&&H&&G&&K&&C&&A))return;c.save();c.setTransform(this.ratio,0,0,this.ratio,0,0);k=this.fs_evaluated;D.setAttribute("data-name",b);v?(u="vacio.gif"===v?this.emptyImage:this.parent.getImage(v),J=v.substr(0,v.lastIndexOf(".")),I=v.substr(v.lastIndexOf(".")),N=J+"_over"+I,z=J+"_down"+I,M="vacio.gif"===v?this.emptyImage:this.parent.getImage(N),L="vacio.gif"===
v?this.emptyImage:this.parent.getImage(z)):L=M=u=this.emptyImage;c.clearRect(0,0,this.w,this.h);r=n=0;this.buttonClick&&(r=n=1);q=g(this.w/2+n)-.5;m=g(this.h/2+r)-.5;u&&(w=u.height||1E8,y=a.getFontMetrics(this.italics+" "+this.bold+" "+k+"px descartesJS_sansserif, Arial, Helvetica, Sans-serif").h,B=""!=b?0<=this.h-w-y-2?!0:!1:!1,x=parseInt((this.w-u.width)/2)+n,f=B?parseInt((this.h-y-u.height+2)/2):parseInt((this.h-u.height)/2)+r,B&&(m=parseInt(this.h-y/2-2),D.style.backgroundColor=this.colorInt.getColor(),
c.strokeStyle=this.color.getColor(),c.lineWidth=1,c.beginPath(),c.moveTo(.5,.5),c.lineTo(this.w-.5,.5),c.lineTo(this.w-.5,this.h-.5),c.lineTo(.5,this.h-.5),c.closePath(),c.stroke()));u&&u.ready?u!==this.emptyImage&&u.complete?v.match(E)?(this.canvas.style.backgroundRepeat="no-repeat",this.canvas.style.backgroundImage="url('"+v+"')",this.canvas.style.backgroundPosition=x+"px "+f+"px"):c.drawImage(u,x,f):this.emptyImage&&this.customStyle&&(D.style.backgroundColor=this.colorInt.getColor()):(D.style.backgroundColor=
this.colorInt.getColor(),this.buttonClick||(a.drawLine(c,this.w-1,0,this.w-1,this.h,"rgba(0,0,0,0.5)"),a.drawLine(c,0,0,0,this.h,"rgba(0,0,0,0.09)"),a.drawLine(c,1,0,1,this.h,"rgba(0,0,0,0.03)")),c.fillStyle=this.linearGradient,c.fillRect(0,0,this.w,this.h));this.activeIfValue&&(M!==this.emptyImage&&this.over&&M.ready&&M.complete?N.match(E)?(this.canvas.style.backgroundImage="url('"+N+"')",this.canvas.style.backgroundPosition=x+"px "+f+"px"):c.drawImage(M,x,f):this.customStyle&&this.conStyle.overColor&&
this.over&&(D.style.backgroundColor=this.conStyle.overColor));this.activeIfValue?L!==this.emptyImage&&this.buttonClick&&L.ready&&L.complete?z.match(E)?(this.canvas.style.backgroundImage="url('"+z+"')",this.canvas.style.backgroundPosition=x+"px "+f+"px"):c.drawImage(L,x,f):this.customStyle&&this.conStyle.downColor&&this.buttonClick&&(D.style.backgroundColor=this.conStyle.downColor):this.buttonClick&&!u&&(c.fillStyle="rgba(0,0,0,0.09)",c.fillRect(0,0,this.w,this.h));c.fillStyle=this.color.getColor();
this.customStyle&&this.conStyle.shadowTextColor&&0<this.conStyle.textBorder&&(c.lineWidth=this.conStyle.textBorder,c.strokeStyle=this.conStyle.shadowTextColor,c.strokeText(b,q,m));B||this.conStyle||!this.drawTextBorder()||(c.lineWidth=parseInt(k/6),c.strokeStyle=this.colorInt.getColor(),c.strokeText(b,q,m));c.fillText(b,q,m);this.underlined&&(p=c.measureText(b).width,c.strokeStyle=this.color.getColor(),c.lineWidth=g(k/10)||2,c.lineCap="round",c.beginPath(),c.moveTo(parseInt((this.w-p)/2)+n,m+g(k/
2)+g(k/5)-1.5),c.lineTo(parseInt((this.w+p)/2)+n,m+g(k/2)+g(k/5)-1.5),c.stroke());this.activeIfValue||(this.customStyle&&this.conStyle.inactiveColor?D.style.backgroundColor=this.conStyle.inactiveColor:(c.fillStyle="rgba(240,240,240,0.6)",c.fillRect(0,0,this.w,this.h)));c.restore();this._image_pos_x=x;this._image_pos_y=f};a.Button.prototype.drawTextBorder=function(){this.colorInt.getColor();this.color.getColor();return!(.5>(e(this.colorInt.r-this.color.r)+e(this.colorInt.g-this.color.g)+e(this.colorInt.b-
this.color.b))/255)};a.Button.prototype.buttonPressed=function(){this.updateAndExecAction()};a.Button.prototype.addEvents=function(){function b(c,d,k){a.clearTimeout(e);f.buttonClick&&f.drawIfValue&&f.activeIfValue&&(d.call(f),c=k?c:100,e=a.setTimeout(function(){b(c,d,!1)},c))}function c(e){this.focus();e.preventDefault();e.stopPropagation();document.activeElement!=document.body&&document.activeElement.blur();f.whichBtn=a.whichBtn(e);"L"==f.whichBtn&&f.activeIfValue&&(f.buttonClick=!0,f.draw(),"calculate"==
f.action&&(f.evaluator.setVariable(f.id,f.evaluator.eval(f.valueExpr)),b(1E3,f.buttonPressed,!0)),f.canvas.removeEventListener("touchend",d),f.canvas.addEventListener("touchend",d),f.canvas.removeEventListener("mouseup",d),f.canvas.addEventListener("mouseup",d))}function d(a){this.focus();a.preventDefault();a.stopPropagation();if(f.activeIfValue||f.buttonClick)f.buttonClick=!1,f.draw(),"calculate"!=f.action&&(f.evaluator.setVariable(f.id,f.evaluator.eval(f.valueExpr)),f.buttonPressed()),f.canvas.removeEventListener("touchend",
d),f.canvas.removeEventListener("mouseup",d);f.parent.update()}var f=this,e;f.canvas.oncontextmenu=function(){return!1};this.over=this.buttonClick=!1;this.canvas.addEventListener("touchstart",c);this.canvas.addEventListener("mousedown",c);this.canvas.addEventListener("mouseover",function(a){a.preventDefault();a.stopPropagation();f.over=!0;f.draw()});this.canvas.addEventListener("mouseout",function(a){a.preventDefault();a.stopPropagation();f.over=!1;f.buttonClick=!1;f.draw()});document.addEventListener("visibilitychange",
function(a){f.buttonClick=!1})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w;a.Spinner=function(b,c){a.Control.call(this,b,c);this.tabindex=++this.parent.tabindex;"_._"==this.name&&(this.name="");"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");this.containerControl=document.createElement("div");
this.canvas=document.createElement("canvas");this.divUp=document.createElement("div");this.divDown=document.createElement("div");this.field=document.createElement("input");this.label=document.createElement("label");this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.field);this.containerControl.appendChild(this.canvas);this.containerControl.appendChild(this.divUp);this.containerControl.appendChild(this.divDown);this.addControlContainer(this.containerControl);w=this.evaluator.parser.parse("1");
this.originalIncr=this.incr;if(0>this.evaluator.eval(this.decimals)||0==this.evaluator.eval(this.incr)){var d=this.evaluator.eval(this.incr);0<d?this.originalIncr=this.incr=this.evaluator.parser.parse(parseInt(d).toString()):this.incr=w}this.addEvents();this.init()};a.extend(a.Spinner,a.Control);a.Spinner.prototype.init=function(){g=this.evaluator;var b=g.eval(this.name).toString();this.label.innerHTML=b;this.value=this.validateValue(g.eval(this.valueExpr));var c=this.formatOutputValue(this.value);
this.fieldFontSize=2!==this.parent.version?a.getFieldFontSize(this.h):10;var d=2!==this.parent.version?"__":"_____",f=a.getTextWidth(c+"_",this.fieldFontSize+"px Arial"),e=2+parseInt(this.h/2),k=parseInt(this.w/2-e/2),d=a.getTextWidth(b+d,this.fieldFontSize+"px Arial");this.visible||(k=this.w-e,f=0);k<d&&(k=d);""==b&&(k=0);this.w-k-e<f&&(k=this.w-e-f);0>k&&(k=0);b=this.w-(k+e);this.containerControl.setAttribute("class","DescartesSpinnerContainer");this.containerControl.setAttribute("style","width: "+
this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index: "+this.zIndex+";");this.containerControl.setAttribute("id",this.id);this.canvas.setAttribute("width",e+"px");this.canvas.setAttribute("height",this.h+"px");this.canvas.setAttribute("style","position: absolute; left: "+k+"px; top: 0px;");this.ctx=this.canvas.getContext("2d");this.ctx.imageSmoothingEnabled=!1;this.divUp.setAttribute("class","up");this.divUp.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+
e+"px; height : "+this.h/2+"px; left: "+k+"px; top: 0px;");this.divDown.setAttribute("class","down");this.divDown.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+e+"px; height : "+this.h/2+"px; left: "+k+"px; top: "+this.h/2+"px;");this.field.setAttribute("type","text");this.field.setAttribute("id",this.id+"_spinner");this.field.setAttribute("class","DescartesSpinnerField");this.field.setAttribute("style","font-family: Arial; font-size: "+
this.fieldFontSize+"px; width : "+b+"px; height : "+this.h+"px; left: "+(e+k)+"px;");this.field.setAttribute("tabindex",this.tabindex);this.field.value=c;this.visible||(this.field.style.display="none");this.label.setAttribute("class","DescartesSpinnerLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width: "+k+"px; height: "+this.h+"px; line-height: "+this.h+"px;");g.setVariable(this.id,this.value);this.createGradient(this.h/2,this.h)};a.Spinner.prototype.update=function(){g=
this.evaluator;this.label.innerHTML=g.eval(this.name).toString();0>g.eval(this.decimals)?(e=g.eval(this.incr),0<e?this.originalIncr=this.incr=g.parser.parse(parseInt(e).toString()):this.incr=w):this.incr=0!=g.eval(this.originalIncr)?this.originalIncr:w;this.activeIfValue=0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.drawIfValue?(this.containerControl.style.display="block",this.draw()):(this.click=!1,this.containerControl.style.display=
"none");this.updatePositionAndSize();this.parent.animation.playing&&document.activeElement==this.field||(d=this.field.value,l=this.value,this.value=this.validateValue(g.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),this.value==l&&this.field.value!=d&&(this.value=this.validateValue(d),this.field.value=this.formatOutputValue(this.value)),g.setVariable(this.id,this.value))};a.Spinner.prototype.draw=function(){c=this.ctx;h=this.canvas.width;k=this.canvas.height;c.fillStyle=
"#f0f8ff";c.fillRect(0,0,h,k);c.fillStyle=this.linearGradient;c.fillRect(0,0,h,k);this.up?(b="gray",v="#f0f8ff"):(b="#f0f8ff",v="gray");a.drawLine(c,0,0,h,0,b);a.drawLine(c,0,0,0,k/2,b);a.drawLine(c,0,k/2,h,k/2,v);this.down?(b="gray",v="#f0f8ff"):(b="#f0f8ff",v="gray");a.drawLine(c,0,k/2+1,h,k/2+1,b);a.drawLine(c,0,k/2+1,0,k,b);a.drawLine(c,0,k-1,h,k-1,v);u=[parseInt(h/2+1),parseInt(h/5+1),parseInt(h-h/5+1)];n=[parseInt(k/8+1),parseInt(k/8+1+k/4),parseInt(k/8+1+k/4)];c.fillStyle=this.activeIfValue?
"#2244cc":"#8888aa";c.beginPath();c.moveTo(u[0],n[0]);c.lineTo(u[1],n[1]);c.lineTo(u[2],n[2]);c.fill();n=[parseInt(k-k/8),parseInt(k-k/8-k/4),parseInt(k-k/8-k/4)];c.fillStyle=this.activeIfValue?"#d00018":"#aa8888";c.beginPath();c.moveTo(u[0],n[0]);c.lineTo(u[1],n[1]);c.lineTo(u[2],n[2]);c.fill();c.fillStyle="rgba(0,0,0,"+24/255+")";this.up&&c.fillRect(0,0,h,k/2);this.down&&c.fillRect(0,k/2,h,k)};a.Spinner.prototype.validateValue=function(a){g=this.evaluator;isNaN(parseFloat(a))||a.toString().match("e")&&
(a=parseFloat(a).toFixed(20));a=void 0!=a?a.toString():"0";a=a.replace(this.parent.decimal_symbol,".");r=a==parseFloat(a)?parseFloat(a):parseFloat(g.eval(g.parser.parse(a)));isNaN(r)&&(r=0);f=g.eval(this.min);q=g.eval(this.max);""===f&&(f=-Infinity);""===q&&(q=Infinity);r<f&&(r=f);r>q&&(r=q);this.discrete&&(p=g.eval(this.incr),r=0==p?0:p*Math.round(r/p));x=g.eval(this.decimals);0>=x&&(x=0);return r=parseFloat(parseFloat(r).toFixed(x))};a.Spinner.prototype.increase=function(){this.changeValue(parseFloat(this.value)+
this.evaluator.eval(this.incr))};a.Spinner.prototype.decrease=function(){this.changeValue(parseFloat(this.value)-this.evaluator.eval(this.incr))};a.Spinner.prototype.changeValue=function(a){this.activeIfValue&&(this.value=this.validateValue(a),this.field.value=this.formatOutputValue(this.value),this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction())};a.Spinner.prototype.addEvents=function(){function b(c,d,f){a.clearTimeout(h);if(k.up||k.down)d.call(k),c=f?c:30,h=a.setTimeout(function(){b(c,
d)},c)}function c(d){d.preventDefault();k.whichBtn=a.whichBtn(d);"L"==k.whichBtn&&k.activeIfValue&&(k.up=!0,b(g,k.increase,!0),k.draw())}function d(c){c.preventDefault();k.whichBtn=a.whichBtn(c);"L"==k.whichBtn&&k.activeIfValue&&(k.down=!0,b(g,k.decrease,!0),k.draw())}function f(b){k.up=!1;a.clearTimeout(h);k.draw()}function e(b){k.down=!1;a.clearTimeout(h);k.draw()}m=a.hasTouchSupport;var k=this,g=m?500:200,h;k.divUp.oncontextmenu=k.divDown.oncontextmenu=k.field.oncontextmenu=k.label.oncontextmenu=
function(){return!1};this.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});this.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.field.addEventListener("keydown",function(a){13==a.keyCode&&k.changeValue(k.field.value)});this.divUp.addEventListener("touchstart",c);this.divUp.addEventListener("mousedown",c);this.divDown.addEventListener("touchstart",d);this.divDown.addEventListener("mousedown",d);this.divUp.addEventListener("mouseout",function(b){k.up=
!1;a.clearTimeout(h);k.draw();b.preventDefault()});this.divDown.addEventListener("mouseout",function(b){k.down=!1;a.clearTimeout(h);k.draw();b.preventDefault()});this.divUp.addEventListener("touchend",f);window.addEventListener("touchend",f);this.divUp.addEventListener("mouseup",f);window.addEventListener("mouseup",f);this.divDown.addEventListener("touchend",e);window.addEventListener("touchend",e);this.divDown.addEventListener("mouseup",e);window.addEventListener("mouseup",e);document.addEventListener("visibilitychange",
function(b){k.up=!1;k.down=!1;a.clearTimeout(h);k.draw()});k.field.addEventListener("click",function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h;a.TextField=function(c,b){a.Control.call(this,c,b);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name.trim()+"'");void 0===this.valueExprString&&(this.valueExprString=
this.onlyText?"0":"");this.emptyString=!1;this.ok=0;this.tabindex=++this.parent.tabindex;this.regExpDecimalSymbol=new RegExp("\\"+this.parent.decimal_symbol,"g");if(this.answer)if(this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7))),this.answerPattern=this.answer,this.answer=a.buildRegularExpresionsPatterns(this.answer,this.evaluator),this.onlyText){var d=this.answerPattern.indexOf("|");this.firstAnswer=-1==d?this.answerPattern:this.answerPattern.substring(0,
d)}else this.firstAnswer=this.parser.parse(this.answerPattern.substring(1,this.answerPattern.indexOf(",")));this.onlyText&&(this.valueExprString.match(/^'/)&&this.valueExprString.match(/'$/)||(this.valueExpr=this.evaluator.parser.parse("'"+this.valueExprString+"'")),this.validateValue=function(a){a=a.toString();return"''"==a||"'"==a?"":a&&a.match(/^'/)&&a.match(/'$/)?a.substring(1,a.length-1):a},this.formatOutputValue=function(a){return a.toString()});""==name.trim()&&(name="");this.containerControl=
document.createElement("div");this.field=document.createElement("input");this.label=document.createElement("label");this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.field);this.addControlContainer(this.containerControl);this.addEvents();this.init()};a.extend(a.TextField,a.Control);a.TextField.prototype.init=function(){g=this.evaluator;var c=g.eval(this.name).toString();this.label.innerHTML=c;this.value=this.validateValue(g.eval(this.valueExpr));var b=this.formatOutputValue(this.value);
this.fieldFontSize=a.getFieldFontSize(this.h);var d=a.getTextWidth(b+"_",this.fieldFontSize+"px Arial"),e=parseInt(this.w/2),h=a.getTextWidth(c,this.fieldFontSize+"px Arial");this.visible||(e=this.w,d=0);e<h&&(e=h);""==c&&(e=0);this.w-e<d&&(e=this.w-d);0>e&&(e=0);c=this.w-e;this.containerControl.setAttribute("class","DescartesTextFieldContainer");this.containerControl.setAttribute("style","width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index: "+this.zIndex+";");
this.field.setAttribute("type","text");this.field.setAttribute("id",this.id+"TextField");this.field.setAttribute("class","DescartesTextFieldField");this.field.setAttribute("style","font-size: "+this.fieldFontSize+"px; width : "+c+"px; height : "+this.h+"px; left: "+e+"px;");this.field.setAttribute("tabindex",this.tabindex);this.field.value=b;this.label.setAttribute("class","DescartesTextFieldLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width: "+e+"px; height: "+this.h+
"px; line-height: "+this.h+"px;");this.evaluate&&(this.ok=this.evaluateAnswer());this.evaluator.setVariable(this.id,this.value);this.evaluator.setVariable(this.id+".ok",this.ok);this.oldValue=this.value;this.update()};a.TextField.prototype.update=function(){g=this.evaluator;this.label.innerHTML=g.eval(this.name).toString();this.activeIfValue=0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.containerControl.style.display=this.drawIfValue?"block":
"none";this.updatePositionAndSize();this.parent.animation.playing&&document.activeElement==this.field||(e=this.field.value,d=this.value,this.value=this.validateValue(g.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),this.value===d&&this.field.value!=e&&(this.value=this.validateValue(e),this.field.value=this.formatOutputValue(this.value)),g.setVariable(this.id,this.value))};a.TextField.prototype.validateValue=function(a){if(""===a||"''"==a)return"";g=this.evaluator;a=a.toString().replace(this.regExpDecimalSymbol,
".","g");l=a==parseFloat(a)?parseFloat(a):parseFloat(g.eval(g.parser.parse(a)));isNaN(l)&&(l=0);c=g.eval(this.min);""==c&&(c=-Infinity);h=g.eval(this.max);""==h&&(h=Infinity);l<c&&(l=c);l>h&&(l=h);this.discrete&&(a=g.eval(this.incr),l=0==a?0:a*Math.round(l/a));return l=parseFloat(parseFloat(l).toFixed(g.eval(this.decimals)))};a.TextField.prototype.formatOutputValue=function(a){return""===a?"":this.uber.formatOutputValue.call(this,a)};a.TextField.prototype.changeValue=function(a,b){this.activeIfValue&&
(this.value=this.validateValue(a),this.field.value=this.formatOutputValue(this.value),this.evaluate&&(this.ok=this.evaluateAnswer()),this.evaluator.setVariable(this.id,this.value),this.evaluator.setVariable(this.id+".ok",this.ok),this.updateAndExecAction())};a.TextField.prototype.evaluateAnswer=function(){return a.esCorrecto(this.answer,this.value,this.evaluator,this.answer)};a.TextField.prototype.getFirstAnswer=function(){return this.answer?this.onlyText?this.firstAnswer:this.evaluator.eval(this.firstAnswer):
""};a.TextField.prototype.addEvents=function(){var a=this;a.field.oncontextmenu=a.label.oncontextmenu=function(){return!1};a.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});a.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.field.addEventListener("blur",function(b){a.evaluator.eval(a.drawIf)&&a.changeValue(a.field.value,!0)});this.field.addEventListener("keydown",function(b){a.activeIfValue&&13==b.keyCode&&a.changeValue(a.field.value,
!0)});a.field.addEventListener("click",function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.abs,e,d,l,c,h,k,b,v,u,n;a.Menu=function(b,c){function k(a){f.options=a.split(",");f.menuOptions=[];f.strValue=[];var b;a=0;for(var c=f.options.length;a<c;a++)b=f.customSplit(f.options[a]),1==b.length?(f.menuOptions.push(b[0]),f.strValue.push(a.toString())):2==b.length&&(f.menuOptions.push(b[0]),""==b[1]?f.strValue.push(a.toString()):f.strValue.push(b[1]));
a=0;for(c=f.menuOptions.length;a<c;a++)f.menuOptions[a].match(/^\[/)&&f.menuOptions[a].match(/\]$/)?f.menuOptions[a]=e.parse(f.menuOptions[a].substring(1,f.menuOptions[a].length-1)):f.menuOptions[a]=e.parse("'"+f.menuOptions[a]+"'");a=0;for(c=f.strValue.length;a<c;a++)f.strValue[a].match(/^\[/)&&f.strValue[a].match(/\]$/)?f.strValue[a]=e.parse(f.strValue[a].substring(1,f.strValue[a].length-1)):f.strValue[a]=e.parse(f.strValue[a]);for(;f.select.firstChild;)f.select.removeChild(f.select.firstChild);
a=0;for(c=f.menuOptions.length;a<c;a++)b=document.createElement("option"),b.innerHTML=d.eval(f.menuOptions[a]),f.select.appendChild(b);return 0}this.options="";a.Control.call(this,b,c);e=this.parser;d=this.evaluator;this.ok=0;this.tabindex=++this.parent.tabindex;this.answer&&(this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7))),this.answer=parseInt(this.answer.split(",")[0].replace("[",""))||0);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-
1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");var f=this;this.evaluator.setFunction(this.id+".setOptions",k);this.containerControl=document.createElement("div");this.label=document.createElement("label");this.select=document.createElement("select");this.field=document.createElement("input");k(this.options);this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.select);this.visible&&this.containerControl.appendChild(this.field);
this.addControlContainer(this.containerControl);this.addEvents();this.init()};a.extend(a.Menu,a.Control);a.Menu.prototype.init=function(b){d=this.evaluator;var c=d.eval(this.name).toString();this.label.innerHTML=c;this.fieldFontSize=2!=this.parent.version?a.getFieldFontSize(this.h):10;var e=0,f=0,k=0;this.value=b?this.value:d.eval(this.valueExpr);this.indexValue=this.getIndex(this.value);b=0;for(var g=this.menuOptions.length;b<g;b++)k=a.getTextWidth(d.eval(this.menuOptions[b]).toString(),this.fieldFontSize+
"px Arial"),k>e&&(e=k,f=b);e+=25;k=a.getTextWidth(this.formatOutputValue(d.eval(this.strValue[f])),this.fieldFontSize+"px Arial")+7;f=a.getTextWidth(c,this.fieldFontSize+"px Arial")+10;""==c&&(f=0);this.visible||(k=0);for(c=this.w-k-f;c<e&&0<f;)f--,c++;for(;c<e&&0<k;)k--,c++;for(;f+c+k+1<this.w;)c++,k++;e=f;b=e+c;k=this.w-b;g=this.formatOutputValue(d.eval(this.strValue[this.indexValue]));this.containerControl.setAttribute("class","DescartesMenuContainer");this.containerControl.setAttribute("style",
"width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index:"+this.zIndex+";");this.label.setAttribute("class","DescartesMenuLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width:"+f+"px; height:"+this.h+"px; line-height:"+this.h+"px;");this.field.setAttribute("type","text");this.field.setAttribute("id",this.id+"_menuField");this.field.value=g;this.field.setAttribute("class","DescartesMenuField");this.field.setAttribute("style","font-size: "+
this.fieldFontSize+"px; width: "+k+"px; height: "+this.h+"px; left:"+b+"px;");this.field.setAttribute("tabindex",this.tabindex);this.select.setAttribute("id",this.id+"_menuSelect");this.select.setAttribute("class","DescartesMenuSelect");this.select.setAttribute("style","text-align:left; font-size:"+this.fieldFontSize+"px; width: "+c+"px; height: "+this.h+"px; left: "+e+"px; border: 1px solid #7a8a99;");this.select.setAttribute("tabindex",this.tabindex);this.select.selectedIndex=this.indexValue;d.setVariable(this.id,
parseFloat(g.replace(this.parent.decimal_symbol,".")));this.update()};a.Menu.prototype.update=function(){d=this.evaluator;this.activeIfValue=0<d.eval(this.activeif);this.drawIfValue=0<d.eval(this.drawif);this.field.disabled=this.activeIfValue?!1:!0;this.select.disabled=this.activeIfValue?!1:!0;this.drawIfValue?this.containerControl.style.display="block":(this.click=!1,this.containerControl.style.display="none");if(!this.parent.animation.playing||document.activeElement!=this.select){this.label.innerHTML=
d.eval(this.name).toString();for(var a=0,b=this.menuOptions.length;a<b;a++)this.select.options[a].innerHTML=d.eval(this.menuOptions[a]);this.value=d.getVariable(this.id);isNaN(this.value)&&(this.value=0);this.field.value=this.formatOutputValue(this.value);d.setVariable(this.id,parseFloat(this.value));this.select.selectedIndex=parseFloat(this.getIndex(this.value))}this.ok=this.value==this.answer?1:0;this.evaluator.setVariable(this.id+".ok",this.ok);this.updatePositionAndSize()};a.Menu.prototype.customSplit=
function(a){k=!1;b="";v=0;for(u=-1;v<a.length;){n=a.charAt(v);a.charAt(v-1);if("["===n&&-1===u){if(k||""!=b)b+="\u00a6";u++}else"["===n?u++:"]"===n&&0===u?(k=!0,u--):"]"==a.charAt(v)&&(u=0>u?u:u-1);b+=a.charAt(v);v++}return b.split("\u00a6")};a.Menu.prototype.getIndex=function(a){a=parseFloat(a.toString().replace(this.parent.decimal_symbol,"."));l=-1;c=Infinity;for(var b=0,d=this.strValue.length;b<d;b++)h=g(a-parseFloat(this.evaluator.eval(this.strValue[b]))),h<=c&&(c=h,l=b);return l};a.Menu.prototype.changeValue=
function(){this.activeIfValue&&(this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction())};a.Menu.prototype.addEvents=function(){var a=this;a.select.oncontextmenu=a.label.oncontextmenu=a.field.oncontextmenu=function(){return!1};a.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});a.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.select.addEventListener("change",function(b){a.value=a.evaluator.eval(a.strValue[this.selectedIndex]);
a.field.value=a.formatOutputValue(a.value);a.evaluator.setVariable(a.id,a.field.value);a.changeValue();b.preventDefault()});this.field.addEventListener("keydown",function(b){13==b.keyCode&&(a.indexValue=a.getIndex(a.field.value),a.value=a.evaluator.eval(a.strValue[a.indexValue]),a.field.value=a.formatOutputValue(a.indexValue),a.select.selectedIndex=a.indexValue,a.changeValue())});a.field.addEventListener("click",function(a){this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g=Math.floor,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y;a.Scrollbar=function(b,c){a.Control.call(this,b,c);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");this.orientation=this.w>=this.h?"h":"v";this.containerControl=document.createElement("div");this.canvas=document.createElement("canvas");this.divUp=document.createElement("div");this.divDown=document.createElement("div");
this.field=document.createElement("input");this.scrollManipulator=document.createElement("div");this.label=document.createElement("label");this.containerControl.appendChild(this.canvas);this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.divUp);this.containerControl.appendChild(this.divDown);this.containerControl.appendChild(this.field);this.containerControl.appendChild(this.scrollManipulator);this.addControlContainer(this.containerControl);this.addEvents();this.init()};
a.extend(a.Scrollbar,a.Control);a.Scrollbar.prototype.init=function(){e=this.evaluator;0==e.eval(this.decimals)?this.incr=1:this.incr=(e.eval(this.max)-e.eval(this.min))/100;this.value=this.validateValue(e.eval(this.valueExpr));l=this.formatOutputValue(this.value);c=this.evaluator.eval(this.expresion);this.x=c[0][0];this.y=c[0][1];4==c[0].length&&(this.w=c[0][2],this.h=c[0][3]);this.orientation=this.w>=this.h?"h":"v";this.initScroll(l);this.changeScrollPositionFromValue();this.prePos=this.pos;e.setVariable(this.id,
this.value)};a.Scrollbar.prototype.initScroll=function(b){d=this;e=d.evaluator;var c=e.eval(d.name).toString();d.label.innerHTML=c;var f="v"===d.orientation?parseInt(19+5*(d.h-100)/100):d.h;d.fieldFontSize="v"===d.orientation?f-parseInt(d.h/20)-1:2!==d.parent.version?a.getFieldFontSize(f):10;var k=a.getTextWidth(b+"_",d.fieldFontSize+"px Arial"),g=d.parent.getSpaceById(d.spaceID).h;d.labelHeight=""==c?0:f;d.fieldHeight=""==d.visible?0:f;if("v"===d.orientation)d.canvasWidth=d.w,d.canvasHeight=d.h-
d.labelHeight-d.fieldHeight,18<=d.canvasHeight+d.y-g&&(d.canvasHeight=g),c=0,c=d.fieldHeight,k=c+d.canvasHeight,d.canvasX=0,d.canvasY=d.fieldHeight,d.labelWidth=d.w,d.labelY=k,d.upWidth=d.downW=d.w,d.upHeight=d.downH=15,d.upX=0,d.upY=d.fieldHeight,d.downX=0,d.downY=k-d.downH,d.fieldWidth=d.w,d.fieldX=0,d.scrollManipulatorW=d.w,d.scrollManipulatorH=parseInt((d.canvasHeight-d.upHeight-d.downH-d.labelHeight-d.fieldHeight)/10),d.scrollManipulatorH=15>d.scrollManipulatorH?15:d.scrollManipulatorH,d.scrollManipulatorLimInf=
k-d.downH-d.scrollManipulatorH,d.scrollManipulatorLimSup=c+d.downH;else{f=a.getTextWidth(c,d.fieldFontSize+"px Arial")+10;d.labelWidth=f;d.fieldWidth=k;""==c&&(d.labelWidth=0);d.visible||(d.fieldWidth=0);for(k=d.w-d.fieldWidth-d.labelWidth;58>k&&0<d.labelWidth;)d.labelWidth--,k++;for(;58>k&&0<d.fieldWidth;)d.fieldWidth--,k++;c=d.labelWidth;f=c+k;d.fieldWidth=d.w-f;d.canvasWidth=k;d.canvasHeight=d.h;d.canvasX=d.labelWidth;d.canvasY=0;d.fieldX=d.canvasWidth+d.labelWidth;d.labelHeight=d.h;d.labelY=0;
d.upWidth=d.downW=15;d.upHeight=d.downH=d.h;d.upX=f-d.downW;d.upY=0;d.downX=d.labelWidth;d.downY=0;d.scrollManipulatorW=parseInt((d.canvasWidth-d.upWidth-d.downW)/10);d.scrollManipulatorW=15>d.scrollManipulatorW?15:d.scrollManipulatorW;d.scrollManipulatorH=d.h;d.scrollManipulatorLimInf=c+d.downW;d.scrollManipulatorLimSup=c+d.canvasWidth-d.downW-d.scrollManipulatorW}d.containerControl.setAttribute("class","DescartesScrollbarContainer");d.containerControl.setAttribute("id",d.id);d.containerControl.setAttribute("style",
"width: "+d.w+"px; height: "+d.h+"px; left: "+d.x+"px; top: "+d.y+"px; z-index: "+d.zIndex+";");d.canvas.setAttribute("width",d.w+"px");d.canvas.setAttribute("height",d.h+"px");d.canvas.setAttribute("style","position: absolute; left: 0px; top: 0px;");d.ctx=d.canvas.getContext("2d");d.ctx.imageSmoothingEnabled=!1;d.divUp.setAttribute("class","DescartesCatcher up");d.divUp.setAttribute("style","width : "+d.upWidth+"px; height : "+d.upHeight+"px; left: "+d.upX+"px; top: "+d.upY+"px;");d.divDown.setAttribute("class",
"DescartesCatcher down");d.divDown.setAttribute("style","width : "+d.downW+"px; height : "+d.downH+"px; left: "+d.downX+"px; top: "+d.downY+"px;");d.scrollManipulator.setAttribute("class","DescartesCatcher manipulator");d.scrollManipulator.setAttribute("style","width : "+d.scrollManipulatorW+"px; height : "+d.scrollManipulatorH+"px;");d.scrollManipulator.style.top=("v"===d.orientation?d.scrollManipulatorLimInf:0)+"px";d.scrollManipulator.style.left=("v"===d.orientation?0:d.scrollManipulatorLimInf)+
"px";d.field.setAttribute("type","text");d.field.setAttribute("id",d.id+"scrollbar");d.field.setAttribute("class","DescartesScrollbarField");d.field.setAttribute("style","font-size: "+d.fieldFontSize+"px; width : "+d.fieldWidth+"px; height : "+d.fieldHeight+"px; left: "+d.fieldX+"px; top: 0px;");d.field.value=b;0===d.fieldHeight&&(d.field.style.display="none");d.label.setAttribute("class","DescartesScrollbarLabel");d.label.setAttribute("style","font-size:"+d.fieldFontSize+"px; width: "+d.labelWidth+
"px; height: "+d.labelHeight+"px; line-height: "+d.labelHeight+"px; left: 0px; top:"+d.labelY+"px;")};a.Scrollbar.prototype.update=function(){e=this.evaluator;this.label.innerHTML=e.eval(this.name).toString();0==e.eval(this.decimals)?this.incr=1:this.incr=(e.eval(this.max)-e.eval(this.min))/100;this.activeIfValue=0<e.eval(this.activeif);this.drawIfValue=0<e.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.drawIfValue?(this.containerControl.style.display="block",this.draw()):this.containerControl.style.display=
"none";this.updatePositionAndSize();var a=this.validateValue(e.getVariable(this.id));a==this.value||0<Math.abs(a-this.value)&&1E-9>Math.abs(a-this.value)||(this.value=a,this.changeScrollPositionFromValue(),this.prePos=this.pos);this.value=a;this.field.value=this.formatOutputValue(this.value);e.setVariable(this.id,this.value)};a.Scrollbar.prototype.draw=function(){d=this;h=d.ctx;b=g(this.w);k=g(this.h);h.fillStyle="#e0e4e8";h.fillRect(0,0,b,k);h.strokeStyle="#7a8a99";d.down&&(h.fillStyle="#ccdcec",
h.fillRect(d.downX+.5,d.downY+.5,d.downW,d.downH-1));h.strokeRect(d.downX+.5,d.downY+.5,d.downW,d.downH-1);d.up&&(h.fillStyle="#ccdcec",h.fillRect(d.upX+.5,d.upY-.5,d.upWidth,d.upHeight+1));h.strokeRect(d.upX+.5,d.upY-.5,d.upWidth,d.upHeight+1);v=4;h.fillStyle="black";h.beginPath();"h"===d.orientation?(h.moveTo(d.downX+v,d.downH/2),h.lineTo(d.downX+d.downW-v,v),h.lineTo(d.downX+d.downW-v,d.downH-v),h.moveTo(d.upX+d.upWidth-v,d.downH/2),h.lineTo(d.upX+v,v),h.lineTo(d.upX+v,d.downH-v),h.fill(),d.activeIfValue&&
(u=g(d.pos),h.fillStyle="#ccdcec",h.fillRect(u+.5,0,g(d.scrollManipulatorW),k),h.strokeStyle="#6382bf",h.strokeRect(u+.5,0,g(d.scrollManipulatorW),k),n=g(d.scrollManipulatorW/2),h.beginPath(),h.moveTo(u+n+.5-2,3),h.lineTo(u+n+.5-2,k-3),h.moveTo(u+n+.5,3),h.lineTo(u+n+.5,k-3),h.moveTo(u+n+.5+2,3),h.lineTo(u+n+.5+2,k-3),h.stroke())):(h.moveTo(d.downX+d.downW/2,d.downY+d.downH-v),h.lineTo(d.downX+v,d.downY+v),h.lineTo(d.downX+d.downW-v,d.downY+v),h.moveTo(d.upX+d.upWidth/2,d.upY+v),h.lineTo(d.upX+v,
d.upY+d.upHeight-v),h.lineTo(d.upX+d.upWidth-v,d.upY+d.upHeight-v),h.fill(),d.activeIfValue&&(u=g(d.pos),h.fillStyle="#ccdcec",h.fillRect(0,u+.5,b,g(d.scrollManipulatorH)),h.strokeStyle="#6382bf",h.strokeRect(0,u+.5,b,g(d.scrollManipulatorH)),n=g(d.scrollManipulatorH/2),h.beginPath(),h.moveTo(3,u+n+.5-2),h.lineTo(b-3,u+n+.5-2),h.moveTo(3,u+n+.5),h.lineTo(b-3,u+n+.5),h.moveTo(3,u+n+.5+2),h.lineTo(b-3,u+n+.5+2),h.stroke()));h.strokeRect(.5,.5,b-1,k-1);d.activeIfValue||(h.fillStyle="rgba(240,240,240,"+
160/255+")",h.fillRect(0,0,b,k.h))};a.Scrollbar.prototype.validateValue=function(a){e=this.evaluator;r=a.toString();r=parseFloat(r.replace(this.parent.decimal_symbol,"."));isNaN(r)&&(r=0);this.minimo=e.eval(this.min);r<this.minimo&&(this.value=null,r=this.minimo);this.maximo=e.eval(this.max);r>this.maximo&&(this.value=null,r=this.maximo);p=this.incr;r=0!=p?r*p/p:0;this.fixed&&(r=parseFloat(parseFloat(r).toFixed(e.eval(this.decimals))));return r};a.Scrollbar.prototype.increase=function(){this.changeValue(parseFloat(this.value)+
this.incr)};a.Scrollbar.prototype.decrease=function(){this.changeValue(parseFloat(this.value)-this.incr)};a.Scrollbar.prototype.increase10=function(){v=(this.evaluator.eval(this.max)-this.evaluator.eval(this.min))/10;"h"==this.orientation?this.clickPos.x>this.prePos&&this.changeValue(parseFloat(this.value)+v):this.clickPos.y<this.prePos&&this.changeValue(parseFloat(this.value)+v)};a.Scrollbar.prototype.decrease10=function(){v=(this.evaluator.eval(this.max)-this.evaluator.eval(this.min))/10;"h"==this.orientation?
this.clickPos.x<this.prePos&&this.changeValue(parseFloat(this.value)-v):this.clickPos.y>this.prePos&&this.changeValue(parseFloat(this.value)-v)};a.Scrollbar.prototype.changeValue=function(a){this.activeIfValue&&(x=this.validateValue(a),x!=this.value&&(this.value=x,this.field.value=this.formatOutputValue(x),this.changeScrollPositionFromValue(),this.prePos=this.pos,this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction()))};a.Scrollbar.prototype.changeValueForScrollMovement=function(){e=
this.evaluator;f=this.scrollManipulatorLimInf;q=this.scrollManipulatorLimSup;m=e.eval(this.min);w=e.eval(this.max);p=this.incr;x=g((this.pos-f)*(w-m)/(q-f)/p)*p+m;x!=this.value&&(this.value=x,this.field.value=this.formatOutputValue(x),e.setVariable(this.id,this.value),this.parent.updateControls(),this.actionExec.execute(),this.parent.update())};a.Scrollbar.prototype.changeScrollPositionFromValue=function(){e=this.evaluator;f=this.scrollManipulatorLimInf;q=this.scrollManipulatorLimSup;m=e.eval(this.min);
w=e.eval(this.max);p=this.incr;this.pos=(this.value-m)*(q-f)/(w-m)+f;"h"==this.orientation?this.scrollManipulator.style.left=this.pos+"px":this.scrollManipulator.style.top=this.pos+"px"};a.Scrollbar.prototype.addEvents=function(){function b(c,d,f,e){a.clearTimeout(u);(p.up||p.down||p.canvasClick)&&1E-7<Math.abs(p.value-e)&&(d.call(p),c=f?c:30,u=a.setTimeout(function(){b(c,d,!1,e)},c))}function c(d){d.preventDefault();p.whichBtn=a.whichBtn(d);"L"==p.whichBtn&&p.activeIfValue&&(p.clickPos=a.getCursorPosition(d,
p.containerControl),p.canvasClick=!0,"h"==p.orientation?p.clickPos.x<p.prePos?b(q,p.decrease10,!0,p.minimo):b(q,p.increase10,!0,p.maximo):p.clickPos.y<p.prePos?b(q,p.increase10,!0,p.maximo):b(q,p.decrease10,!0,p.minimo))}function d(b){p.canvasClick=!1;a.clearTimeout(u)}function f(b){1==p.canvasClick&&(p.clickPos=a.getCursorPosition(b,p.containerControl),b.preventDefault())}function e(a){p.scrollClick=!1;p.prePos=p.pos;window.removeEventListener("mouseup",e,!1);window.removeEventListener("mousemove",
g,!1);a.preventDefault()}function k(a){p.scrollClick=!1;p.prePos=p.pos;window.removeEventListener("touchend",k,!1);window.removeEventListener("touchmove",g,!1);a.preventDefault()}function g(b){var c=a.getCursorPosition(b,p.containerControl);"h"==p.orientation?(p.pos=p.prePos-(p.initPos.x-c.x),p.pos<p.scrollManipulatorLimInf&&(p.pos=p.scrollManipulatorLimInf),p.pos>p.scrollManipulatorLimSup&&(p.pos=p.scrollManipulatorLimSup),p.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+
p.scrollManipulatorW+"px; height : "+p.h+"px; left: "+p.pos+"px; top: 0px;")):(p.pos=p.prePos-(p.initPos.y-c.y),p.pos>p.scrollManipulatorLimInf&&(p.pos=p.scrollManipulatorLimInf),p.pos<p.scrollManipulatorLimSup&&(p.pos=p.scrollManipulatorLimSup),p.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+p.w+"px; height : "+p.scrollManipulatorH+"px; left: 0px; top: "+p.pos+"px;"));p.changeValueForScrollMovement();b.preventDefault()}
function h(c){c.preventDefault();p.whichBtn=a.whichBtn(c);"L"==p.whichBtn&&p.activeIfValue&&(p.up=!0,b(q,p.increase,!0,p.maximo))}function n(c){c.preventDefault();p.whichBtn=a.whichBtn(c);"L"==p.whichBtn&&p.activeIfValue&&(p.down=!0,b(q,p.decrease,!0,p.minimo))}function r(b){p.down=!1;a.clearTimeout(u);b.preventDefault()}function l(b){p.up=!1;a.clearTimeout(u);p.draw()}function m(b){p.down=!1;a.clearTimeout(u);p.draw()}y=a.hasTouchSupport;var p=this,q=y?500:200,u;p.canvas.oncontextmenu=p.divUp.oncontextmenu=
p.divDown.oncontextmenu=p.label.oncontextmenu=p.field.oncontextmenu=p.scrollManipulator.oncontextmenu=function(){return!1};this.field.addEventListener("keydown",function(a){13==a.keyCode&&p.changeValue(p.field.value)});this.canvas.addEventListener("touchstart",c);this.canvas.addEventListener("mousedown",c);this.divDown.addEventListener("mouseout",r);window.addEventListener("touchend",d);window.addEventListener("mouseup",d);this.canvas.addEventListener("touchmove",f);this.canvas.addEventListener("mousemove",
f);this.scrollManipulator.addEventListener("touchstart",function(b){p.activeIfValue&&(p.scrollClick=!0,p.initPos=a.getCursorPosition(b,p.containerControl),window.addEventListener("touchend",k),window.addEventListener("touchmove",g),b.preventDefault())});this.scrollManipulator.addEventListener("mousedown",function(b){p.activeIfValue&&(p.scrollClick=!0,p.initPos=a.getCursorPosition(b,p.containerControl),window.addEventListener("mouseup",e),window.addEventListener("mousemove",g),b.preventDefault())});
this.divUp.addEventListener("touchstart",h);this.divUp.addEventListener("mousedown",h);this.divDown.addEventListener("touchstart",n);this.divDown.addEventListener("mousedown",n);this.divUp.addEventListener("mouseout",function(b){p.up=!1;a.clearTimeout(u);b.preventDefault()});this.divDown.addEventListener("mouseout",r);window.addEventListener("touchend",l);window.addEventListener("mouseup",l);window.addEventListener("touchend",m);window.addEventListener("mouseup",m)};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var g;a.Audio=function(d,e){this.controls=!0;this.file="";this.oldDrawIf=0;a.Control.call(this,d,e);var c=this,g=c.evaluator.eval(c.expresion);4==g[0].length?(c.w=g[0][2],c.h=g[0][3]):(c.w=200,c.h=28);c.audio=c.parent.getAudio(c.file);c.autoplay&&(c.audio.setAttribute("autoplay","autoplay"),c.audio.play());c.loop&&c.audio.setAttribute("loop","loop");c.controls&&c.audio.setAttribute("controls","controls");c.audio.setAttribute("style","position: absolute; width: "+
c.w+"px; left: "+c.x+"px; top: "+c.y+"px; z-index: "+c.zIndex+";");c.addControlContainer(c.audio);c.evaluator.setFunction(c.id+".play",function(){try{c.audio.play()}catch(a){}return 0});c.evaluator.setFunction(c.id+".pause",function(){try{c.audio.pause()}catch(a){}return 0});c.evaluator.setFunction(c.id+".stop",function(){try{c.audio.pause(),c.audio.currentTime=0}catch(a){}return 0});c.evaluator.setFunction(c.id+".currentTime",function(a){try{c.audio.currentTime=parseFloat(a)}catch(b){}return 0});
c.audio.addEventListener("timeupdate",function(a){c.evaluator.setVariable(c.id+".currentTime",c.audio.currentTime)})};a.extend(a.Audio,a.Control);a.Audio.prototype.init=function(){this.audio.style.left=this.x+"px";this.audio.style.top=this.y+"px";this.update()};var e;a.Audio.prototype.update=function(){g=this.evaluator;(e=0<g.eval(this.drawif))?this.audio.style.display="block":(this.audio.style.display="none",e!==this.oldDrawIf&&this.audio.pause());this.oldDrawIf=e;this.updatePositionAndSize()};return a}(descartesJS||
{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.Video=function(d,e){this.controls=!0;this.file="";this.oldDrawIf=0;a.Control.call(this,d,e);var c=this;g=c.evaluator;var h=c.evaluator.eval(c.expresion);4==h[0].length?(c.w=h[0][2],c.h=h[0][3]):(c.w=null,c.h=null);var h=c.file,k=h.lastIndexOf(".");-1!=k&&(h=c.file.substring(0,k));c.video=document.createElement("video");c.autoplay&&c.video.setAttribute("autoplay","autoplay");c.loop&&c.video.setAttribute("loop","loop");c.controls&&c.video.setAttribute("controls",
"controls");c.video.setAttribute("poster",h+".png");c.w&&(c.video.setAttribute("width",c.w),c.video.setAttribute("height",c.h));c.video.setAttribute("style","position:absolute; overflow:hidden; left:"+c.x+"px; top:"+c.y+"px; outline:none; background:rgba(0,0,0,0);");c.video.canPlayType("video/mp4")&&(k=document.createElement("source"),k.setAttribute("src",h+".mp4"),c.video.appendChild(k));c.video.canPlayType("video/ogg")&&(k=document.createElement("source"),k.setAttribute("src",h+".ogg"),k.setAttribute("type",
"video/ogg"),c.video.appendChild(k),k=document.createElement("source"),k.setAttribute("src",h+".ogv"),k.setAttribute("type","video/ogg"),c.video.appendChild(k));c.video.canPlayType("video/webm")&&(k=document.createElement("source"),k.setAttribute("src",h+".webm"),k.setAttribute("type","video/webm"),c.video.appendChild(k));c.addControlContainer(c.video);c.evaluator.setFunction(c.id+".play",function(){try{c.video.play()}catch(a){}return 0});c.evaluator.setFunction(c.id+".pause",function(){try{c.video.pause()}catch(a){}return 0});
c.evaluator.setFunction(c.id+".stop",function(){try{c.video.pause(),c.video.currentTime=0}catch(a){}return 0});c.evaluator.setFunction(c.id+".currentTime",function(a){try{c.video.currentTime=parseFloat(a)}catch(d){}return 0});c.video.addEventListener("timeupdate",function(a){c.evaluator.setVariable(c.id+".currentTime",c.video.currentTime)})};a.extend(a.Video,a.Control);a.Video.prototype.init=function(){this.video.style.left=this.x+"px";this.video.style.top=this.y+"px";this.update()};var e;a.Video.prototype.update=
function(){g=this.evaluator;(e=0<g.eval(this.drawif))?this.video.style.display="block":(this.video.style.display="none",e!==this.oldDrawIf&&this.video.pause());this.oldDrawIf=e;this.updatePositionAndSize()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e;a.TextArea=function(d,e){this.font="Monospaced,PLAIN,12";a.Control.call(this,d,e);this.region="interior";this.tabindex=++this.parent.tabindex;if(this.answer){this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7)));
var c=this.parent.lessonParser.parseText(this.answer)}this.containerControl=document.createElement("div");this.textArea=document.createElement("div");this.textAreaAnswer=document.createElement("div");this.showButton=document.createElement("div");this.activeCover=document.createElement("div");this.containerControl.appendChild(this.textArea);this.containerControl.appendChild(this.textAreaAnswer);this.containerControl.appendChild(this.showButton);this.containerControl.appendChild(this.activeCover);this.addControlContainer(this.containerControl);
this.showAnswer=!1;this.text=void 0==this.text||"simpleText"==this.text.type?this.rawText||"":this.text.hasFormula?this.rawText:this.text.toHTML();c&&"simpleText"!=c.type&&(this.answer=this.text.hasFormula?"":c.toHTML());this.evaluator.setVariable(this.id,this.text);this.drawButton();this.addEvents();this.init()};a.extend(a.TextArea,a.Control);a.TextArea.prototype.init=function(){e=this.answer?28:8;g=this.evaluator;var d;d=this.text.match(/<span/)?this.text:this.text.replace(/\\n/g,"<br/>");this.containerControl.setAttribute("class",
"DescartesTextAreaContainer");this.containerControl.setAttribute("style","width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index: "+this.zIndex+";");this.containerControl.style.display=0<g.eval(this.drawif)?"block":"none";this.containerControl.setAttribute("spellcheck","false");this.textArea.setAttribute("class","DescartesTextAreaContainer");this.textArea.setAttribute("style","width: "+(this.w-8)+"px; height: "+(this.h-e)+"px; left: 4px; top: 4px; background-color: white; text-align: left; font: "+
a.convertFont(this.font)+";");this.textArea.setAttribute("contenteditable","true");this.textArea.innerHTML="<span style='position: relative; top: 10px; left: 10px; white-space: nowrap;' >"+d+"</span>";this.textAreaAnswer.setAttribute("class","DescartesTextAreaContainer");this.textAreaAnswer.setAttribute("style","width: "+(this.w-8)+"px; height: "+(this.h-e)+"px; left: 4px; top: 4px; background-color: white; text-align: left; font: "+a.convertFont(this.font)+";");this.textAreaAnswer.style.display=
this.showAnswer?"block":"none";this.textAreaAnswer.innerHTML="<span style='position: relative; top: 10px; left: 10px; white-space: nowrap;'>"+this.answer+"</span>";this.showButton.setAttribute("style","width: 20px; height: 16px; position: absolute; bottom: 4px; right: 4px; cursor: pointer;");this.showButton.style.backgroundImage="url("+this.imageUnPush+")";this.showButton.style.display=this.answer?"block":"none";this.showButton.innerHTML="<span style='position: relative; top: 2px; text-align: center; font: 9px Arial'> S </span>";
this.activeCover.setAttribute("style","position: absolute; width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px;");this.update()};a.TextArea.prototype.drawButton=function(){var d=document.createElement("canvas");d.setAttribute("width",20);d.setAttribute("height",16);var e=d.getContext("2d");e.imageSmoothingEnabled=!1;this.canvas=d;this.ctx=e;this.createGradient(20,16);e.lineWidth=1;e.fillStyle="white";e.fillRect(0,0,20,16);e.fillStyle=this.linearGradient;e.fillRect(0,0,
20,16);a.drawLine(e,19,0,19,16,"rgba(0,0,0,"+128/255+")");a.drawLine(e,0,0,0,16,"rgba(0,0,0,"+24/255+")");a.drawLine(e,1,0,1,16,"rgba(0,0,0,"+8/255+")");this.imageUnPush=d.toDataURL();e.fillStyle="white";e.fillRect(0,0,20,16);e.fillStyle=this.linearGradient;e.fillRect(0,0,20,16);a.drawLine(e,0,0,0,14,"gray");a.drawLine(e,0,0,19,0,"gray");e.fillStyle="rgba(0, 0, 0,"+24/255+")";e.fillRect(0,0,this.w,this.h);this.imagePush=d.toDataURL()};a.TextArea.prototype.update=function(){g=this.evaluator;this.activeIfValue=
0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);var a;a=this.text.match(/<span/)?this.rawText:this.text;g.setVariable(this.id,a);this.activeCover.style.display=this.activeIfValue?"none":"block";this.containerControl.style.display=this.drawIfValue?"block":"none";this.updatePositionAndSize()};a.TextArea.prototype.addEvents=function(){function a(c){c.preventDefault();e.showButton.style.backgroundImage="url("+e.imageUnPush+")"}var e=this;this.showButton.addEventListener("mousedown",function(a){a.preventDefault();
e.showAnswer=!e.showAnswer;e.textAreaAnswer.style.display=e.showAnswer?"block":"none";e.showButton.childNodes[0].childNodes[0].textContent=e.showAnswer?"T":"S";e.showButton.style.backgroundImage="url("+e.imagePush+")"});this.showButton.addEventListener("mouseup",a);this.showButton.addEventListener("mouseout",a)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=2*Math.PI,e,d,l,c,h,k,b,v,u,n;a.GraphicControl=function(b,c){d=b.evaluator.parser;this.text=this.spaceID="";
this.size=d.parse("4");this.font="Monospaced,PLAIN,12";this.image=new Image;this.image.onload=function(){this.ready=1};this.imageSrc="";a.Control.call(this,b,c);this.font=a.convertFont(this.font);if(this.constraintExpr){this.constraint=d.parse(this.constraintExpr);"(expr)"==this.constraint.type&&(this.constraint=d.parse(this.constraintExpr.substring(1,this.constraintExpr.length-1)));if("compOperator"==this.constraint.type){var e=this.constraint.childs[0],f=this.constraint.childs[1];"identifier"!=
e.type||"y"!=e.value||f.contains("y")?"identifier"!=e.type||"x"!=e.value||f.contains("x")?this.newt=new a.R2Newton(this.evaluator,this.constraint):(this.constVar="y",this.noConstVar="x",this.evalConst=this.evalConstXoY,this.constraint=f):(this.constVar="x",this.noConstVar="y",this.evalConst=this.evalConstXoY,this.constraint=f)}else this.constraint=null;v=new a.R2(0,0)}this.container=this.getContainer();this.mouseCacher=document.createElement("div");this.mouseCacher.setAttribute("class","DescartesGraphicControl");
this.mouseCacher.setAttribute("id",this.id);this.mouseCacher.setAttribute("dragged",!0);this.mouseCacher.setAttribute("tabindex","-1");this.ctx=this.space.ctx;this.container.appendChild(this.mouseCacher);this.addEvents();this.xStr=this.id+".x";this.yStr=this.id+".y";this.activoStr=this.id+".activo";this.activeStr=this.id+".active";""!==this.space.id&&2!==b.version?(this.mxStr=this.space.id+".mouse_x",this.myStr=this.space.id+".mouse_y",this.mclickedStr=this.space.id+".mouse_clicked",this.mclicizquierdoStr=
this.space.id+".clic_izquierdo"):(this.mxStr="mouse_x",this.myStr="mouse_y",this.mclickedStr="mouse_clicked",this.mclicizquierdoStr="clic_izquierdo");this.init()};a.GraphicControl.prototype.init=function(){e=this.evaluator;u=a.hasTouchSupport;var b=e.eval(this.expresion);this.x=b[0][0];this.y=b[0][1];e.setVariable(this.xStr,this.x);e.setVariable(this.yStr,this.y);this.mouseCacher.setAttribute("style","cursor:pointer;background-color:rgba(255, 255, 255, 0);z-index:"+this.zIndex+";");""==this.imageSrc||
this.imageSrc.toLowerCase().match(/vacio.gif$/)?(this.width=2*e.eval(this.size),this.height=2*e.eval(this.size),this._w=u&&48>this.width?48:this.width,this._h=u&&48>this.height?48:this.height,this.mouseCacher.style.borderRadius=parseInt(Math.min(this._w,this._h)/2)+"px"):(this.image=this.parent.getImage(this.imageSrc),this.width=this.image.width,this.height=this.image.height,this._w=Math.max(this.width,32),this._h=Math.max(this.height,32));this.mouseCacher.style.width=this._w+"px";this.mouseCacher.style.height=
this._h+"px";this.mouseCacher.style.left=parseInt(this.space.getAbsoluteX(this.x)-this._w/2)+"px";this.mouseCacher.style.top=parseInt(this.space.getAbsoluteY(this.y)-this._h/2)+"px";e.setVariable(this.activoStr,0);e.setVariable(this.activeStr,0);this.setImage=!1;this.update()};a.GraphicControl.prototype.update=function(){e=this.evaluator;this.activeIfValue=0<e.eval(this.activeif);this.drawIfValue=0<e.eval(this.drawif);this.x=e.getVariable(this.xStr);this.y=e.getVariable(this.yStr);l=this.space.getAbsoluteX(this.x);
c=this.space.getAbsoluteY(this.y);this.mouseCacher.style.display=this.activeIfValue?"block":"none";this.mouseCacher.style.left=parseInt(l-this._w/2)+"px";this.mouseCacher.style.top=parseInt(c-this._h/2)+"px";this.constraint&&this.evalConst();this.draw()};a.GraphicControl.prototype.draw=function(){e=this.evaluator;this.drawIfValue&&(k=this.ctx,b=this.space.backgroundCtx,l=parseInt(this.space.getAbsoluteX(this.x))+.5,c=parseInt(this.space.getAbsoluteY(this.y))+.5,""!=this.text&&this.drawText(l,c),this.image.ready?
(this.image.complete&&!this.setImage&&k.drawImage(this.image,parseInt(l-this.image.width/2),parseInt(c-this.image.height/2)),this.trace&&(b.save(),b.translate(l,c),b.scale(parseInt(this.image.width/2),parseInt(this.image.height/2)),b.beginPath(),b.arc(0,0,1,0,g,!1),b.restore(),b.lineWidth=1,b.strokeStyle=this.trace.getColor(),b.stroke())):(k.beginPath(),k.arc(l,c,parseInt(this.width/2),0,g,!1),k.fillStyle=this.colorInt.getColor(),k.fill(),k.lineWidth=1,k.strokeStyle=this.color.getColor(),k.stroke(),
this.active&&(k.strokeStyle=this.colorInt.borderColor(),k.beginPath(),k.arc(l,c,parseInt(this.width/2)-2,0,g,!1),k.stroke()),this.trace&&(b.strokeStyle=this.trace.getColor(),b.beginPath(),b.arc(l,c,parseInt(this.width/2),0,g,!1),b.stroke())))};a.GraphicControl.prototype.evalConst=function(){v.set(this.x,this.y);h=this.newt.findZero(v,1/this.space.scale,!0);this.x=h.x;this.y=h.y;this.evaluator.setVariable(this.xStr,this.x);this.evaluator.setVariable(this.yStr,this.y)};a.GraphicControl.prototype.evalConstXoY=
function(){e=this.evaluator;n=e.getVariable(this.constVar);e.setVariable(this.constVar,this[this.constVar]);this[this.noConstVar]=e.eval(this.constraint);e.setVariable(this.xStr,this.x);e.setVariable(this.yStr,this.y);e.setVariable(this.constVar,n)};a.GraphicControl.prototype.drawText=function(a,b){k=this.ctx;e=this.evaluator;"simpleText"==this.text.type?(k.fillStyle=this.color.getColor(),k.font=this.font,k.textBaseline="alphabetic",k.fillText(this.text.toString(e.eval(this.decimals),this.fixed),
parseInt(a+1+this.width/2),parseInt(b-1-this.height/2))):(k.fillStyle=this.color.getColor(),k.strokeStyle=this.color.getColor(),k.textBaseline="alphabetic",this.text.draw(k,parseInt(a+1+this.width/2),parseInt(b-1-this.height/2),this.decimals,this.fixed,"start",!0,this.color.getColor()))};a.GraphicControl.prototype.getContainer=function(){for(var a=this.parent.spaces,b,c=0,d=a.length;c<d;c++)if(b=a[c],b.id==this.spaceID)return b.addCtr(this),this.zIndex=b.zIndex,this.space=b,b.graphicControlContainer;
a[0].addCtr(this);this.zIndex=a[0].zIndex;this.space=a[0];return a[0].graphicControlContainer};a.GraphicControl.prototype.deactivate=function(){this.active=!1;this.evaluator.setVariable(this.activoStr,0);this.evaluator.setVariable(this.activeStr,0);this.evaluator.setVariable(this.mclicizquierdoStr,0)};a.GraphicControl.prototype.addEvents=function(){function b(d){document.body.focus();d.preventDefault();d.stopPropagation();f.evaluator.setVariable(f.mclickedStr,1);f.evaluator.setVariable(f.mclicizquierdoStr,
1);if(f.activeIfValue||f.active)f.click=!1,window.removeEventListener("mouseup",b,!1),window.removeEventListener("mousemove",c,!1),window.removeEventListener("touchend",b,!1),window.removeEventListener("touchmove",c,!1),e=a.getCursorPosition(d,f.container),f.posX=f.prePos.x-(f.posAnte.x-e.x),f.posY=f.prePos.y-(f.posAnte.y-e.y),f.evaluator.setVariable(f.xStr,f.space.getRelativeX(f.posX)),f.evaluator.setVariable(f.yStr,f.space.getRelativeY(f.posY)),f.evaluator.setVariable(f.mxStr,f.space.getRelativeX(e.x)),
f.evaluator.setVariable(f.myStr,f.space.getRelativeY(e.y)),f.parent.updateControls(),f.parent.update(),f.mouseCacher.style.left=f.space.getAbsoluteX(f.x)-f._w/2+"px",f.mouseCacher.style.top=f.space.getAbsoluteY(f.y)-f._h/2+"px";f.parent.deactivateGraphiControls()}function c(b){b.preventDefault();f.evaluator.setVariable(f.mclickedStr,0);f.evaluator.setVariable(f.mclicizquierdoStr,0);e=a.getCursorPosition(b,f.container);f.posX=f.prePos.x-(f.posAnte.x-e.x);f.posY=f.prePos.y-(f.posAnte.y-e.y);f.evaluator.setVariable(f.xStr,
f.space.getRelativeX(f.posX));f.evaluator.setVariable(f.yStr,f.space.getRelativeY(f.posY));f.evaluator.setVariable(f.mxStr,f.space.getRelativeX(e.x));f.evaluator.setVariable(f.myStr,f.space.getRelativeY(e.y));20<Date.now()-d&&(f.parent.updateControls(),f.parent.update(),d=Date.now())}var d=0,f=this;this.active=this.over=this.click=!1;this.mouseCacher.oncontextmenu=function(){return!1};this.mouseCacher.addEventListener("touchstart",function(d){document.body.focus();d.preventDefault();f.activeIfValue&&
(f.parent.deactivateGraphiControls(),f.click=f.active=!0,f.evaluator.setVariable(f.activoStr,1),f.evaluator.setVariable(f.activeStr,1),f.evaluator.setVariable(f.mclickedStr,0),f.evaluator.setVariable(f.mclicizquierdoStr,0),f.posAnte=a.getCursorPosition(d,f.container),f.prePos={x:f.space.getAbsoluteX(f.x),y:f.space.getAbsoluteY(f.y)},f.evaluator.setVariable(f.mxStr,f.space.getRelativeX(f.posAnte.x)),f.evaluator.setVariable(f.myStr,f.space.getRelativeY(f.posAnte.y)),f.parent.update(),window.addEventListener("touchend",
b),window.addEventListener("touchmove",c))});this.mouseCacher.addEventListener("mousedown",function(d){document.body.focus();d.preventDefault();f.whichBtn=a.whichBtn(d);"L"==f.whichBtn&&f.activeIfValue&&f.over&&(f.parent.deactivateGraphiControls(),f.click=f.active=!0,f.evaluator.setVariable(f.activoStr,1),f.evaluator.setVariable(f.activeStr,1),f.evaluator.setVariable(f.mclickedStr,0),f.evaluator.setVariable(f.mclicizquierdoStr,0),f.posAnte=a.getCursorPosition(d,f.container),f.prePos={x:f.space.getAbsoluteX(f.x),
y:f.space.getAbsoluteY(f.y)},f.evaluator.setVariable(f.mxStr,f.space.getRelativeX(f.posAnte.x)),f.evaluator.setVariable(f.myStr,f.space.getRelativeY(f.posAnte.y)),f.parent.update(),window.addEventListener("mouseup",b),window.addEventListener("mousemove",c))});this.mouseCacher.addEventListener("mouseover",function(a){f.over=!0});this.mouseCacher.addEventListener("mouseout",function(a){f.over=!1;f.click=!1});var e};return a}(descartesJS||{}),descartesJS=function(a,g){var e,d,l,c,h,k,b,v,u,n;if(a.loadLib)return a;
var r,p,x,f,q,m,w,y,B=/[\w-//]*(\.png|\.jpg|\.gif|\.svg)/gi,E,D,F,H,G,K,C,A,J,I,N,z,M,L,O,Q,P,V,U,R,S;a.LessonParser=function(b){this.parent=b;this.parser=b.evaluator.parser;this.RTFparser=new a.RTFParser(b.evaluator)};a.LessonParser.prototype.parseButtonsConfig=function(a){var b={rowsNorth:0,rowsSouth:0,widthEast:125,widthWest:125,height:23};a=this.split(a);for(var c=0,d=a.length;c<d;c++)switch(x=a[c][0],f=a[c][1],p=g[x],p){case "rowsNorth":case "rowsSouth":case "widthEast":case "widthWest":case "height":b[p]=
parseInt(f);break;case "about":case "config":case "init":case "clear":b[p]="true"===g[f];break;default:console.log("Propiedad de botones no identificada: <"+x+"> valor: <"+f+">")}return b};a.LessonParser.prototype.parseSpace=function(b){q={};b=this.split(b);for(var c=0,d=b.length;c<d;c++)switch(x=b[c][0],f=b[c][1],p=g[x],p){case "type":case "id":case "cID":case "file":q[p]=f;break;case "fixed":case "numbers":case "sensitive_to_mouse_movements":case "R3":case "split":q[p]="true"===g[f];break;case "bg_display":case "render":q[p]=
g[f];break;case "net":case "net10":case "axes":case "text":q[p]=""!=f?"false"===g[f]?"":new a.Color(f,this.parent.evaluator):"";break;case "x_axis":case "y_axis":q[p]="false"===g[f]?"":f;break;case "O.x":q.OxExpr=f;break;case "O.y":q.OyExpr=f;break;case "image":q.imageSrc=f;break;case "x":r=f;"%"===r[r.length-1]?(q.xPercentExpr=r.trim(),r=(this.parent.container.width*parseFloat(r)/100).toString()):r=f;q.xExpr=this.parser.parse(r);break;case "y":r=f;"%"===r[r.length-1]?(q.yPercentExpr=r.trim(),r=(this.parent.container.height*
parseFloat(r)/100).toString()):r=f;q.yExpr=this.parser.parse(r);break;case "width":r=f.trim();"%"===r[r.length-1]?(q.wExpr=r,r=this.parent.container.width*parseFloat(r)/100):(r=parseFloat(f),r!=f&&(r=this.parent.container.width,q._w_=f.trim()));q.w=r;break;case "height":r=f.trim();"%"===r[r.length-1]?(q.hExpr=r,r=this.parent.container.height*parseFloat(r)/100):(r=parseFloat(f),r!=f&&(r=this.parent.container.height,q._h_=f.trim()));q.h=r;break;case "drawif":""!=f&&(q.drawif=this.parser.parse(f));break;
case "scale":r=parseFloat(f);isNaN(r)&&(r=48);q.scale=r;break;case "background":q.background=new a.Color(f,this.parent.evaluator);break;default:console.log("Propiedad del espacio no identificada: <"+x+"> valor: <"+f+">")}switch(q.type){case "R2":return new a.Space2D(this.parent,q);case "R3":return new a.Space3D(this.parent,q);case "AP":return new a.SpaceAP(this.parent,q);case "HTMLIFrame":return new a.SpaceHTML_IFrame(this.parent,q);default:return new a.Space2D(this.parent,q)}};a.LessonParser.prototype.parseControl=
function(b){m={type:"numeric"};b=this.split(b);for(var c=0,d=b.length;c<d;c++)switch(x=b[c][0],f=b[c][1],p=g[x],p){case "id":case "name":case "parameter":case "tooltip":case "tooltipFont":case "Explanation":case "ExplanationFont":case "cID":case "options":case "font":case "file":case "answer":m[p]=f;break;case "gui":case "region":case "action":case "msg_pos":case "poster":m[p]=g[f];break;case "fixed":case "visible":case "discrete":case "onlyText":case "evaluate":case "autoplay":case "loop":case "controls":m[p]=
"true"===g[f];break;case "color":case "colorInt":case "trace":m[p]=new a.Color(f,this.parent.evaluator);break;case "font_size":case "drawif":case "activeif":case "decimals":case "min":case "max":case "size":""!=f&&(m[p]=this.parser.parse(f));break;case "constraint":m.constraintExpr=f;break;case "image":m.imageSrc=f;break;case "space":m.spaceID=f;break;case "type":m.type=g[f.trim()];break;case "expresion":m.expresion=this.parser.parse(f.replace(")(",","));break;case "bold":"false"!=g[f]&&(m.bold="bold");
break;case "italics":"false"!=g[f]&&(m.italics="italic");break;case "underlined":"false"!=g[f]&&(m.underlined=!0);break;case "value":var e=f.replace(/&squot;/g,"'");e.match(/^\|/)&&(e="'"+e.substring(1),e.match(/\|$/)&&(e=e.substring(0,e.length-1)+"'"));m.valueExpr=this.parser.parse(e);m.valueExprString=e;break;case "incr":0!=f&&(m.incr=this.parser.parse(f));break;case "exponentialif":m.exponentialif=parseFloat(f);break;case "text":m.rawText=f;for(var e=this.parseText(f),k=0,h=e.length;k<h;k++)e[k]=
this.parser.parse(e[k],!1);m.text=e;break;default:k=x.indexOf(".");e=g[x.substring(0,k)];k=g[x.substring(k+1)];if("parameter"===e&&"font"===k){m.parameterFont=f;break}else if("Explanation"===e&&"font"===k){m.ExplanationFont=f;break}else if("tooltip"===e&&"font"===k){m.tooltipFont=f;break}console.log("Propiedad de control no identificada: <"+x+"> valor: <"+f+">")}if("numeric"===m.type)switch(m.gui){case "spinner":return new a.Spinner(this.parent,m);case "button":return new a.Button(this.parent,m);
case "textfield":return new a.TextField(this.parent,m);case "menu":return new a.Menu(this.parent,m);case "scrollbar":return new a.Scrollbar(this.parent,m);default:return new a.Spinner(this.parent,m)}else{if("video"===m.type)return new a.Video(this.parent,m);if("audio"===m.type)return new a.Audio(this.parent,m);if("graphic"===m.type)return new a.GraphicControl(this.parent,m);if("text"===m.type)return new a.TextArea(this.parent,m)}};a.LessonParser.prototype.parseGraphic=function(b,c,d,e){w={rotateExp:e,
parameter:"t"};b=this.split(b);e=0;for(var k=b.length;e<k;e++)if(x=b[e][0],f=b[e][1],p=g[x],""!=f)switch(p){case "type":case "align":w[p]=g[f];break;case "background":case "abs_coord":case "visible":case "editable":case "fixed":case "vectors":w[p]="true"===g[f];break;case "color":case "fill":case "fillP":case "fillM":case "arrow":case "trace":w[p]="false"===g[f]?"":new a.Color(f,this.parent.evaluator);break;case "family":case "parameter":case "info":case "font":case "name":case "init":case "end":w[p]=
f;break;case "drawif":case "width":case "decimals":case "size":case "spear":case "center":case "radius":case "opacity":case "inirot":case "inipos":case "range":""!=f&&(w[p]=this.parser.parse(f));break;case "space":w.spaceID=f;break;case "expresion":""!=f&&("macro"!=w.type?(w.expresion=this.parser.parse(f),w.expresionString=f):w.expresion=f);break;case "text":w.text=this.parseText(f);break;case "file":var h=f.replace(/&squot;/g,"'");"["===h.charAt(0)&&"]"===h.charAt(h.length-1)&&(h=h.substring(1,h.length-
1));h.match(B)&&(h="'"+h+"'");w.file=this.parser.parse(h);break;case "border":""!=f&&"false"!=g[f]&&(w.border=new a.Color(f,this.parent.evaluator));break;default:if(void 0!=w.family&&x.substring(0,w.family.length+1)===w.family+"."){switch(g[x.substring(w.family.length+1)]){case "interval":""!=f&&(w.family_interval=this.parser.parse(f));break;case "steps":""!=f&&(w.family_steps=this.parser.parse(f))}break}if(void 0!=w.parameter&&x.match(w.parameter+".")){w.parameter!==x.substring(0,x.indexOf(w.parameter)+
w.parameter.length)&&(w.parameter=x.substring(0,x.indexOf(w.parameter)+w.parameter.length));switch(g[x.substring(w.parameter.length+1)]){case "interval":""!=f&&(w.parameter_interval=this.parser.parse(f));break;case "steps":""!=f&&(w.parameter_steps=this.parser.parse(f))}break}console.log("Propiedad del grafico no identificada: <"+x+"> valor: <"+f+">")}c&&(w.abs_coord=c);d&&(w.background=d);switch(w.type){case "text":return new a.Text(this.parent,w);case "image":return new a.Image(this.parent,w);case "point":return new a.Point(this.parent,
w);case "polygon":return new a.Polygon(this.parent,w);case "arc":return new a.Arc(this.parent,w);case "segment":return new a.Segment(this.parent,w);case "arrow":return new a.Arrow(this.parent,w);case "macro":return new a.Macro(this.parent,w);case "curve":return new a.Curve(this.parent,w);case "equation":return new a.Equation(this.parent,w);case "sequence":return new a.Sequence(this.parent,w);case "fill":return new a.Fill(this.parent,w)}};a.LessonParser.prototype.parse3DGraphic=function(b,c,d,e){w=
{rotateExp:e,parameter:"t"};b=this.split(b);c=0;for(d=b.length;c<d;c++)switch(x=b[c][0],f=b[c][1],p=g[x],p){case "type":case "model":w[p]=g[f];break;case "background":case "fixed":case "edges":case "split":w[p]="true"===g[f];break;case "color":case "backcolor":w[p]=new a.Color(f,this.parent.evaluator);break;case "drawif":case "width":case "length":case "height":case "decimals":case "Nu":case "Nv":case "inipos":case "endpos":""!=f&&(w[p]=this.parser.parse(f));break;case "family":case "parameter":case "font":case "name":case "inirot":case "endrot":w[p]=
f;break;case "space":w.spaceID=f;break;case "expresion":"macro"!=w.type&&"curve"!=w.type&&"surface"!=w.type?(w.expresion=this.parser.parse(f),w.expresionString=f):w.expresion=f.replace(/\\n/g," ").replace(/;/g," ");break;case "text":e=this.parseText(f);for(var k=0,h=e.length;k<h;k++)e[k]=this.parser.parse(e[k],!1);w.text=e;break;case "file":e=f.replace(/&squot;/g,"'");"["===e.charAt(0)&&"]"===e.charAt(e.length-1)&&(e=e.substring(1,e.length-1));e.match(/./)&&(e="'"+e+"'");w.file=this.parser.parse(e);
break;default:if(void 0!==w.family&&x.substring(0,w.family.length+1)===w.family+"."){"interval"===g[x.substring(w.family.length+1)]?""!=f&&(w.family_interval=this.parser.parse(f)):""!=f&&(w.family_steps=this.parser.parse(f));break}console.log("Propiedad del grafico 3D no identificada: <"+x+"> valor: <"+f+">")}switch(w.type){case "point":return new a.Point3D(this.parent,w);case "segment":return new a.Segment3D(this.parent,w);case "polygon":return new a.Polygon3D(this.parent,w);case "curve":return new a.Curve3D(this.parent,
w);case "triangle":return new a.Triangle3D(this.parent,w);case "face":return new a.Face3D(this.parent,w);case "polireg":return new a.Polireg3D(this.parent,w);case "surface":return new a.Surface3D(this.parent,w);case "text":return new a.Text3D(this.parent,w);case "cube":case "box":case "tetrahedron":case "octahedron":case "sphere":case "dodecahedron":case "icosahedron":case "ellipsoid":case "cone":case "cylinder":case "mesh":return new a.OtherGeometry(this.parent,w);case "macro":return new a.Macro3D(this.parent,
w)}};a.LessonParser.prototype.parseAuxiliar=function(b){y={};b=this.split(b);for(var c=0,d=b.length;c<d;c++)b[c][1]=b[c][1].replace(/&squot;/g,"'");c=0;for(d=b.length;c<d;c++)switch(x=b[c][0],f=b[c][1],p=g[x],p){case "id":case "file":case "init":case "doExpr":case "whileExpr":case "range":case "local":case "expresion":case "condition":case "parameter":y[p]=f.replace(/&squot;/g,"'");break;case "editable":case "constant":case "array":case "matrix":case "algorithm":case "event":case "sequence":y[p]=
"true"===g[f];break;case "size":case "rows":case "columns":y[p]=this.parser.parse(f);break;case "evaluate":case "execution":case "msg_pos":case "action":y[p]=g[f];break;case "type":y[p]=g[f];break;case "x":case "y":case "width":case "height":y[p]=this.parser.parse(f);break;default:var e=x.indexOf("."),k=g[x.substring(0,e)],e=g[x.substring(e+1)];if("parameter"===k&&"font"===e){y.parameterFont=f;break}console.log("Propiedad del auxiliar no identificada: <"+x+"> valor: <"+f+">")}y.sequence?new a.Function(this.parent,
y):y.constant?(b=new a.Constant(this.parent,y),y.evaluate&&"always"===y.evaluate&&this.parent.auxiliaries.push(b)):y.algorithm&&y.evaluate?(b=new a.Algorithm(this.parent,y),this.parent.auxiliaries.push(b)):y.array&&!y.matrix&&")"!=y.id.charAt(y.id.length-1)?(b=new a.Vector(this.parent,y),y.evaluate&&"always"===y.evaluate&&this.parent.auxiliaries.push(b)):y.matrix&&")"!=y.id.charAt(y.id.length-1)?(b=new a.Matrix(this.parent,y),y.evaluate&&"always"===y.evaluate&&this.parent.auxiliaries.push(b)):y.event&&
")"!=y.id.charAt(y.id.length-1)?this.parent.events.push(new a.Event(this.parent,y)):")"===y.id.charAt(y.id.length-1)?new a.Function(this.parent,y):new a.Variable(this.parent,y)};a.LessonParser.prototype.parseAction=function(b){E=b.action;D=b.parent;F=b.parameter;if(E)switch(E){case "message":return new a.Message(D,F);case "calculate":return new a.Calculate(D,F);case "openURL":return new a.OpenURL(D,F);case "openScene":return new a.OpenScene(D,F);case "about":return new a.About(D,F);case "config":return new a.Config(D,
F);case "init":return new a.Init(D,F);case "clear":return new a.Clear(D,F);case "animate":return new a.Animate(D,F);case "initAnimation":return new a.InitAnimation(D,F);case "playAudio":return new a.PlayAudio(D,F);default:console.log("Accion no soportada: <"+E+">")}else return{execute:function(){}}};a.LessonParser.prototype.parseAnimation=function(b){var c={};b=this.split(b);for(var d=0,e=b.length;d<e;d++)switch(x=b[d][0],f=b[d][1],p=g[x],p){case "id":case "delay":case "init":case "doExpr":case "whileExpr":c[p]=
f.replace(/&squot;/g,"'");break;case "controls":case "auto":case "loop":case "algorithm":case "evaluate":c[p]="true"===g[f];break;default:console.log("Propiedad de la animacion no identificada: <"+x+">  <"+f+">")}return new a.Animation(this.parent,c)};a.LessonParser.prototype.parsePleca=function(g,p){g=this.split(g);d=e="";l=0;c="#536891";h="white";k="left";b="";v="SansSerif,BOLD,20";u="SansSerif,PLAIN,18";n=void 0;for(var r=0,m=g.length;r<m;r++)switch(x=g[r][0],f=g[r][1],x){case "title":e=f;break;
case "subtitle":d=f;break;case "subtitlines":l=f;break;case "bgcolor":""!=f&&(c=(new a.Color(f,this.parent.evaluator)).getColor());break;case "fgcolor":""!=f&&(h=(new a.Color(f,this.parent.evaluator)).getColor());break;case "align":""!=f&&(k=f);break;case "titleimage":b=f;break;case "titlefont":v=""!=f?a.convertFont(f):a.convertFont(v);break;case "subtitlefont":u=""!=f?a.convertFont(f):a.convertFont(u);break;default:console.log("Propiedad de la pleca no identificada: <"+x+">  <"+f+">")}if(""===e&&
""===d)return document.createElement("div");I=u.substring(0,u.indexOf("px"));I=I.substring(I.lastIndexOf(" "));""!=b&&(N=this.parent.getImage(b),z=N.height);n=document.createElement("div");n.setAttribute("id","descartesPleca");z?(n.setAttribute("style","position:absolute;left:0;top:0;text-align:"+k+";width:"+(p-30)+"px;height:"+(z-16)+"px;background:"+c+";color:"+h+";padding-top:8px;padding-bottom:8px;padding-left:15px;padding-right:15px;margin:0;overflow:hidden;z-index:100;"),N.setAttribute("style",
"position: absolute;left:0;top:0;z-index:-1;width:100%;height:100%;"),n.appendChild(N)):n.setAttribute("style","position:absolute;left:0;top:0;text-align:"+k+";width:"+(p-30)+"px;background:"+c+";color:"+h+";padding-top:12px;padding-bottom:12px;padding-left:15px;padding-right:15px;margin:0;z-index:100;");M=document.createElement("div");M.setAttribute("style","padding:0;margin:0;font:"+v+";overflow:hidden;white-space:nowrap;");M.innerHTML=e;L=document.createElement("div");if(1===parseInt(l)){U=0;O=
document.createElement("div");O.innerHTML=d;document.body.appendChild(O);P=I;do P-=U,O.setAttribute("style","padding:0;margin:0;font:"+u+";font-size:"+P+"px;width:"+(p-30)+"px;line-height:"+P+"px;"),Q=O.offsetHeight,V=Q/P,U=1;while(1<V&&8<P);document.body.removeChild(O);L.setAttribute("style","padding:0;margin:0;font:"+u+";font-size:"+P+"px;line-height: 110%;overflow:hidden;white-space:nowrap;")}else L.setAttribute("style","padding:0;margin:0;font:"+u+";line-height:110%;");L.innerHTML=d;n.appendChild(M);
n.appendChild(L);n.imageHeight=z;return n};a.LessonParser.prototype.split=function(a){if("string"!=typeof a)return[];a=(a||"").replace(/\\'/g,"\u2019");H=[];K=G=0;C=!1;A=0;for(J=!1;G<a.length;)" "!==a.charAt(G)||C||G++," "===a.charAt(G)||C||(C=!0,A=G),"="!==a.charAt(G)||"'"!==a.charAt(G+1)||J||(J=!0,H[K]=[a.substring(A,G)],A=G+2,G+=2),J&&"'"===a.charAt(G)&&(C=J=!1,H[K].push(a.substring(A,G)),K++),"="!==a.charAt(G)||"'"===a.charAt(G+1)||J||(H[K]=[a.substring(A,G)],A=G+1,G++,R=a.substring(G).indexOf("="),
-1===R?S=R=a.length:(R+=G,S=a.substring(G,R).lastIndexOf(" "),S=-1===S?a.length:S+G),H[K].push(a.substring(A,S)),K++,C=!1,G=S),G++;return H};a.LessonParser.prototype.parseText=function(b){b=b||"";return b.match(/^\{\\rtf1/)?this.RTFparser.parse(b.substring(10)):new a.SimpleText(this.parent,b)};return a}(descartesJS||{},babel),descartesJS=function(a){function g(a,b){x=[];x.type="matrix";x.rows=a;x.cols=b;var c;q=0;for(m=b;q<m;q++){c=[];f=0;for(w=a;f<w;f++)c.push(0);x[q]=c}return x}function e(a,b){r=
a.rows;p=a.cols;x=g(r,p);var c;for(q=0;q<r;q++)for(f=0;f<p;f++){for(m=c=0;m<p;m++)c+=a[m][q]*b[f][m];x[f][q]=c}return x}function d(a,b,c){for(var d=g(c.length-1,c.length-1),e=0,f=d.length;e<f;e++)for(var k=0;k<f;k++)d[e][k]=e<a?k<b?c[e][k]:c[e][k+1]:e<b?c[e+1][k]:c[e+1][k+1];return d}function l(a){if(1<a.cols){for(var b=0,c=1,e=0,f=a.cols;e<f;e++)b+=c*a[0][e]*l(d(0,e,a)),c=-c;return b}return a[0][0]}if(a.loadLib)return a;var c,h={},k=Math.floor,b,v,u,n;a.fullDecimals=!1;a.Node=function(a,b){this.sep=
"";this.type=a;this.value=b;this.parent=null;this.childs=[]};a.Node.prototype.getRoot=function(){return null===this.parent?this:this.parent.getRoot()};a.Node.prototype.addChild=function(a){a.parent=this;this.childs.push(a)};a.Node.prototype.replaceLastChild=function(a){b=this.childs.length-1;lastChild=this.childs[b];lastChild.parent=null;this.childs[b]=a;a.parent=this;return a};a.Node.prototype.contains=function(a){if(this.value===a)return!0;for(var b=0,c=this.childs.length;b<c;b++)if(this.childs[b].contains(a))return!0;
return!1};a.Node.prototype.equalToMinus=function(){return"compOperator"===this.type?(this.type="operator",this.value="-",u=new a.Node("compOperator","=="),n=new a.Node("number","0"),u.addChild(this),u.addChild(n),v=this.getRoot(),v.setAllEvalFun(),v):this};a.Node.prototype.setAllEvalFun=function(){this.setEvalFun();for(var a=0,b=this.childs.length;a<b;a++)this.childs[a].setAllEvalFun()};a.Node.prototype.setEvalFun=function(){if("number"===this.type)this.evaluate=function(a){return parseFloat(this.value)};
else if("string"===this.type)this.evaluate=function(a){return this.value};else if("identifier"===this.type&&0===this.childs.length)if("rnd"==this.value)this.evaluate=function(a){return Math.random()};else{var b;this.evaluate=function(a,c){b=a.variables[this.value];if("object"===typeof b&&void 0==b.length)return b.evaluate(a);void 0==b&&(c||a.matrices[this.value]?b=a.matrices[this.value]:a.vectors[this.value]&&(b=a.vectors[this.value]));return void 0!==b?b:0}}else if("identifier"===this.type&&"square_bracket"===
this.childs[0].type&&1===this.childs[0].childs.length){var n,m;this.evaluate=function(a){n=this.childs[0].childs[0].evaluate(a);try{return m=a.vectors[this.value][0>n?0:k(n)],void 0!==m?m:0}catch(b){return 0}}}else if("identifier"===this.type&&"square_bracket"===this.childs[0].type&&1<this.childs[0].childs.length){var u,v;this.evaluate=function(a){u=this.childs[0].childs[0].evaluate(a);v=this.childs[0].childs[1].evaluate(a);try{return m=a.matrices[this.value][0>u?0:k(u)][0>v?0:k(v)],void 0!==m?m:
0}catch(b){return 0}}}else if("identifier"===this.type&&"parentheses"===this.childs[0].type){var w,G,K;this.evaluate=function(a){w=[];for(var b=0,d=this.childs[0].childs.length;b<d;b++)w[b]=this.childs[0].childs[b].evaluate(a);if("_Eval_"===this.value){c=0<w.length?w[0]:0;if("number"==typeof c)return"NaN";c.match(",")&&parseFloat(c.replace(",","."))==c.replace(",",".")&&(c="'"+c+"'");void 0==h[c]&&(G=c.match(/:=/g)?!0:!1,h[c]=a.parser.parse(c,G));K=a.eval(h[c]);return void 0!=K?K:NaN}return a.functions[this.value].apply(a,
w)}}else if("operator"===this.type)"+"===this.value?this.evaluate=function(b){var c=this.childs[0].evaluate(b,!0);b=this.childs[1].evaluate(b,!0);if("matrix"!==c.type||"matrix"!==b.type)return"number"==typeof c&&"string"==typeof b?c=a.removeNeedlessDecimals(c.toString()):"string"==typeof c&&"number"==typeof b&&(b=a.removeNeedlessDecimals(b.toString())),c+b;r=c.rows;p=c.cols;x=g(r,p);for(q=0;q<r;q++)for(f=0;f<p;f++)x[f][q]=c[f][q]+b[f][q];return x}:"-"===this.value?this.evaluate=function(a){var b=
this.childs[0].evaluate(a,!0);a=this.childs[1].evaluate(a,!0);if("matrix"!==b.type||"matrix"!==a.type)return b-a;r=b.rows;p=b.cols;x=g(r,p);for(q=0;q<r;q++)for(f=0;f<p;f++)x[f][q]=b[f][q]-a[f][q];return x}:"*"===this.value?this.evaluate=function(a){var b=this.childs[0].evaluate(a,!0);a=this.childs[1].evaluate(a,!0);return"matrix"!==b.type||"matrix"!==a.type?b*a:e(b,a)}:"/"===this.value?this.evaluate=function(a){var b=this.childs[0].evaluate(a,!0);a=this.childs[1].evaluate(a,!0);if("matrix"!==b.type||
"matrix"!==a.type)return b/a;var c=g(a.length,a.length),f=l(a);if(0===f)a=0;else{var f=1/f,k;if(1<a.length)for(var h=0,n=a.length;h<n;h++){k=f;for(var p=0;p<n;p++)c[p][h]=k*l(d(h,p,a)),k=-k;f=-f}else c[0][0]=f;a=c}b=0===a?g(b.rows,b.cols):e(b,a);return b}:"%"===this.value?this.evaluate=function(a){var b=this.childs[0].evaluate(a);a=this.childs[1].evaluate(a);return b-k(b/a)*a}:"^"===this.value&&(this.evaluate=function(a){return Math.pow(this.childs[0].evaluate(a),this.childs[1].evaluate(a))});else if("compOperator"===
this.type)"<"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)<this.childs[1].evaluate(a)?1:0}:"<="===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)<=this.childs[1].evaluate(a)?1:0}:">"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)>this.childs[1].evaluate(a)?1:0}:">="===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)>=this.childs[1].evaluate(a)?1:0}:"=="===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)===
this.childs[1].evaluate(a)?1:0}:"!="===this.value&&(this.evaluate=function(a){return this.childs[0].evaluate(a)!==this.childs[1].evaluate(a)?1:0});else if("boolOperator"===this.type)"&"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)?this.childs[1].evaluate(a)?1:0:0}:"|"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)?1:this.childs[1].evaluate(a)?1:0}:"!"===this.value&&(this.evaluate=function(a){return this.childs[0].evaluate(a)?0:1});else if("conditional"===
this.type)this.evaluate=function(a){return 0<this.childs[0].evaluate(a)?this.childs[1].evaluate(a):this.childs[2].evaluate(a)};else if("sign"===this.type)this.evaluate="sign+"===this.value?function(a){return this.childs[0].evaluate(a)}:function(a){return-this.childs[0].evaluate(a)};else if("parentheses"===this.type)this.evaluate=function(a,b){return this.childs[0].evaluate(a,b)};else if("(expr)"===this.type||"[expr]"===this.type)this.evaluate=function(a){var b=this.childs.length,c=[],d;if(1===b&&
1===this.childs[0].childs.length&&"(expr)"===this.type)c=this.childs[0].childs[0].evaluate(a);else for(var e=0;e<b;e++){d=[];for(var f=0,k=this.childs[e].childs.length;f<k;f++)d.push(this.childs[e].childs[f].evaluate(a));c[e]=d}return c};else if("asign"===this.type){var C,A,J,I,N,z;this.evaluate=function(a){C=this.childs[0];A=this.childs[1];if(1===C.childs.length&&"square_bracket"===C.childs[0].type){n=C.childs[0].childs;if(1===n.length)return J=n[0].evaluate(a),J=0>J?0:k(J),a.vectors[C.value][J]=
A.evaluate(a),A.evaluate(a);if(2===n.length)return I=n[0].evaluate(a),N=n[1].evaluate(a),I=0>I?0:k(I),N=0>N?0:k(N),a.matrices[C.value][I]||(a.matrices[C.value][I]=[]),a.matrices[C.value][I][N]=A.evaluate(a),A.evaluate(a)}else return z=A.evaluate(a),z.type?a.matrices[C.value]=z:"object"!==typeof a.variables[C.value]?a.variables[C.value]=z:0}}};var r,p,x,f,q,m,w;a.Node.prototype.toString=function(){var a="tipo: "+this.type+", valor: "+this.value+"\n";this.sep="   "+(this.parent?this.parent.sep:"");
for(var b=0,c=this.childs.length;b<c;b++)a+=this.sep+this.childs[b].toString();return a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u=/^\s+/,n=/^[a-zA-Z_\u00C0-\u021B\u0391-\u03C9]+[a-zA-Z_0-9\u00C0-\u021B\u0391-\u03C9]*([.]*[0-9a-zA-Z_\u00C0-\u021B\u0391-\u03C9]+[0-9]*)*/,r=/^[0-9]+[.][0-9]+|^[.][0-9]+|^[0-9]+/,p=/^==|^!=|^<=|^<|^>=|^>|^#/,x=/^\!|^\~|^\&\&|^\&|^\|\||^\|/,f=/^=|^:=/,q=/^[\?\:]/,m=/^[\+\-\*\/\%\^\u2212\u00b7\u00D7\u00F7]/,w=/^\[|^\]/,
y=/^\(|^\)/,B=/^,/,E=/^;/,D=/\|/g,F=/\|\*/g,H=/\*\|/g;a.Tokenizer=function(){};a.Tokenizer.prototype.tokenize=function(a){function A(a,c,d){e.push({type:a,value:c});h=h.slice(d);l+=d;b++;v=a}if(g=a){a=a.replace(/\\u(\S+) /g,function(a,b){return String.fromCharCode(parseInt(b,16))});a=a.replace(/\&sup(.+);/g,"^ $1 ");a=a.replace(/&squot;/g,"'");a.match(/\=\|\*/g)&&(a=a.replace(F,"'").replace(H,"'"));a.match(/\=\|/g)&&(a=a.replace(D,"'"));var J=a.trim();"|"==J.charAt(0)&&"|"==J.charAt(J.length-1)&&
(a=J.replace(D,"'"))}e=[];d=!1;l=0;h=a;b=0;for(v="";a&&l<a.length;)if(d=l,"'"==h[0]){for(k=1;"'"!=h[k];)if(k<h.length)k++;else{console.log(">Error, unknown symbol: ["+h+"], in the string <<"+g+">>");return}c=h.substring(1,k);A("string",c,c.length+2)}else if(c=h.match(u))h=h.slice(c[0].length),l+=c[0].length,b++;else if(c=h.match(m))c[0]=c[0].replace(/\u00F7/g,"/").replace(/\u2212/g,"-").replace(/\u00b7/g,"*").replace(/\u00D7/g,"*"),A("operator",c[0],c[0].length);else if(c=h.match(n))"number"===v&&
e.push({type:"operator",value:"*"}),A("identifier",c[0],c[0].length);else if(c=h.match(r))A("number",c[0],c[0].length);else if(c=h.match(p))J=c[0],"#"==J&&(J="!="),A("compOperator",J,c[0].length);else if(c=h.match(x))J=c[0],"||"==J?J="|":"&&"==J?J="&":"~"==J&&(J="!"),A("boolOperator",J,c[0].length);else if((c=h.match(f))&&!h.match(/^==/))A("asign",c[0],c[0].length);else if(c=h.match(q))A("conditional",c[0],c[0].length);else if(c=h.match(w))A("square_bracket",c[0],c[0].length);else if(c=h.match(y))"("==
c&&"number"===v&&e.push({type:"operator",value:"*"}),A("parentheses",c[0],c[0].length);else if(c=h.match(B))A("separator",c[0],c[0].length);else if(178===h.charCodeAt(0))e.push({type:"operator",value:"^"}),A("number",2,1);else if(179===h.charCodeAt(0))e.push({type:"operator",value:"^"}),A("number",3,1);else if(c=h.match(E))A("final_of_expresion",c[0],c[0].length);else if(d==l){console.log("Error, simbolo no conocido: ["+h+"], en la cadena <<"+g+">>");return}return e};var G,K=/rnd|pi|e|Infinity|-Infinity|sqr|sqrt|ra\u00edz|exp|log|log10|abs|ent|sgn|ind|sin|sen|cos|tan|cot|sec|csc|sinh|senh|cosh|tanh|coth|sech|csch|asin|asen|acos|atan|min|max/;
a.Tokenizer.prototype.flatTokens=function(a,b){a=a||[];b=b||"";G="";for(var c=0,d=a.length;c<d;c++)G="string"==a[c].type?G+"&squot;"+a[c].value+"&squot;":"identifier"!=a[c].type||a[c].value.match(K)?G+a[c].value:G+b+a[c].value;return G};return a}(descartesJS||{}),descartesJS=function(a){function g(a){switch(a){case "=":return 1;case ":=":return 1;case "(":return 2;case "[":return 2;case "?":return 2;case ":":return 3;case "?:":return 3;case "|":return 6;case "&":return 7;case "<":return 5;case "<=":return 5;
case ">":return 5;case ">=":return 5;case "==":return 5;case "!=":return 5;case "+":return 6;case "-":return 6;case "/":return 7;case "*":return 7;case "sign-":return 7;case "sign+":return 7;case "!":return 8;case "%":return 8;case "^":return 9;default:return 9}}function e(a){return isNaN(parseFloat(a))?a.replace(/^\s|\s$/g,"").replace(/^'|'$/g,""):parseFloat(a)==a?parseFloat(a):a.replace(/^\s|\s$/g,"").replace(/^'|'$/g,"")}if(a.loadLib)return a;a.Parser=function(b){this.evaluator=b;this.tokenizer=
new a.Tokenizer;this.vectors={};this.matrices={};this.variables={};this.functions={};this.definitions={};this.registerDefaultValues();this.registerExternalValues&&this.registerExternalValues()};a.Parser.prototype.setDefinition=function(a,b){this.definitions[a]=b};a.Parser.prototype.getDefinition=function(a){return this.definitions[a]};a.Parser.prototype.setVariable=function(a,b){this.variables[a]=b};a.Parser.prototype.getVariable=function(a,b){b&&(this.variables[a]=void 0!==this.variables[a]?this.variables[a]:
void 0);return this.variables[a]};a.Parser.prototype.setVector=function(a,b,c){this.vectors[a][b]=c};a.Parser.prototype.getVector=function(a){this.vectors.hasOwnProperty(a)||(this.vectors[a]=[0,0,0]);return this.vectors[a]};a.Parser.prototype.setMatrix=function(a,b,c,d){this.matrices[a][b][c]=d};a.Parser.prototype.getMatrix=function(a){this.matrices.hasOwnProperty(a)||(this.matrices[a]=[[0,0,0],[0,0,0],[0,0,0]]);return this.matrices[a]};a.Parser.prototype.setFunction=function(a,b){this.functions[a]=
b};a.Parser.prototype.getFunction=function(a){this.functions.hasOwnProperty(a)||(this.functions[a]=function(){return 0});return this.functions[a]};var d,l,c,h,k,b,v,u,n,r,p,x;a.Parser.prototype.parse=function(e,q){(c=this.tokenizer.tokenize(e))||(c=[]);h=null;q=!q||!1;d=u=v=b=0;for(l=c.length;d<l;d++){n=c[d];r=n.value;p=n.type;if("identifier"===p)if(d+1<l&&"parentheses"===c[d+1].type&&"("===c[d+1].value)this.getFunction(r);else if(d+1<l&&"square_bracket"===c[d+1].type&&"["===c[d+1].value)c[d+3]&&
"square_bracket"===c[d+3].type&&"]"===c[d+3].value?this.getVector(r):this.getMatrix(r);else{var m=r.match(/(\w*)\.mouse_x|(\w*)\.mouse_y|(\w*)\.mouse_pressed|(\w*)\.mouse_clicked|(\w*)\.clic_izquierdo/);m&&(this.variables[m[1]+".DESCARTESJS_no_fixed"]=1);this.getVariable(r,!0)}"asign"===p&&q&&":="!=r&&(p="compOperator",r="==");if("asign"===p)if(k=new a.Node(p,r),null!=h)if("identifier"===h.type)h.parent&&h.parent.replaceLastChild(k),k.addChild(h),h=k,q=!0;else if("square_bracket"===h.type)k.addChild(h.parent),
h=k,q=!0;else{k.type="compOperator";k.value="==";for(q=!0;h.parent&&g(h.parent.value)>=g(k.value);)h=h.parent;h.parent&&h.parent.replaceLastChild(k);k.addChild(h);h=k}else{console.log("Error1: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else if("parentheses"===p&&"("===r||"square_bracket"===p&&"["===r)if(k=new a.Node(p,r),"("===r&&b++,"["===r&&v++,null===h)"("===r&&(new a.Node("(expr)","(expr)")).addChild(k),"["===r&&(new a.Node("[expr]","[expr]")).addChild(k),h=k;else if("operator"===
h.type||"boolOperator"===h.type||"compOperator"===h.type||"conditional"===h.type||"asign"===h.type)h.addChild(k),h=k;else if("sign"===h.type)h.addChild(k),h=k;else if("parentheses"===h.type&&"("===h.value)h.addChild(k),h=k;else if("square_bracket"===h.type&&"["===h.value)h.addChild(k),h=k;else if("parentheses"===h.type&&"()"===h.value)h.parent.addChild(k),h=k;else if("square_bracket"===h.type&&"[]"===h.value)h.parent.addChild(k),h=k;else if("identifier"===h.type)h.addChild(k),h=k;else{console.log("Error2: en la expresion <<"+
e+">>, en el token ["+d+"] {valor: "+r+", tipo: "+p+"}");break}else if("parentheses"===p&&")"===r)if(b--,null===h)console.log("Error3: en la expresion <<"+e+">>, en el token (valor:"+r+", tipo:"+p);else{for(;h&&h.parent&&("("!=h.value||"("==h.value&&"parentheses"!=h.type);)h=h.parent;if(h&&"("===h.value)h.value="()";else{console.log("Error4: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}}else if("square_bracket"===p&&"]"===r)if(v--,null===h)console.log("Error5: en la expresion <<"+
e+">>, en el token (valor:"+r+", tipo:"+p);else{for(;h&&h.parent&&("["!=h.value||"["==h.value&&"square_bracket"!=h.type);)h=h.parent;if(h&&"["===h.value)h.value="[]";else{console.log("Error6: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}}else if("number"===p||"string"===p||"identifier"===p)if(k=new a.Node(p,r),null===h)h=k;else if("operator"===h.type||"compOperator"===h.type||"boolOperator"===h.type||"parentheses"===h.type&&"("===h.value||"square_bracket"===h.type&&"["===
h.value||"sign"===h.type||"conditional"===h.type||"asign"===h.type)h.addChild(k),h=k;else{console.log("Error7: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else if("operator"===p||"compOperator"===p||"boolOperator"===p)if(k=new a.Node(p,r),null===h)if("-"===r||"+"===r)k.type="sign",k.value="sign"+r,h=k;else if("!"===r)h=k;else{console.log("Error8: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else if("operator"===h.type||"compOperator"===
h.type||"boolOperator"===h.type||"asign"===h.type||"conditional"===h.type||"square_bracket"===h.type&&"["===h.value&&("-"===r||"+"===r||"!"===r)||"parentheses"===h.type&&"("===h.value&&("-"===r||"+"===r||"!"===r)){if("-"===r||"+"===r)k.type="sign",k.value="sign"+r;h.addChild(k);h=k}else if("number"===h.type||"parentheses"===h.type&&"()"===h.value||"square_bracket"===h.type&&"[]"===h.value||"string"===h.type||"identifier"===h.type||"conditional"===h.type||"asign"===h.type){for(;h.parent&&g(h.parent.value)>=
g(k.value);)h=h.parent;h.parent&&h.parent.replaceLastChild(k);k.addChild(h);h=k}else{console.log("Error9: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else if("conditional"===p)if(k=new a.Node(p,r),null!=h)if("?"===k.value){for(u++;h.parent&&g(h.parent.value)>g(k.value);)h=h.parent;h.parent&&h.parent.replaceLastChild(k);k.addChild(h);h=k}else{for(u--;h&&h.parent&&("?"!=h.value||"?"==h.value&&"conditional"!=h.type);)h=h.parent;if(h&&"?"===h.value)h.value="?:";else{console.log("Error10: en la expresion <<"+
e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}}else{console.log("Error11: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else if("separator"===p)if(null!=h)for(;h.parent&&"("!=h.value&&"["!=h.value;)h=h.parent;else{console.log("Error12: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}else{console.log("Error13: en la expresion <<"+e+">>, en el token {valor: "+r+", tipo: "+p+"}");break}}0<b&&alert("Error, faltan parentesis por cerrar: "+
e);0>b&&alert("Error, faltan parentesis por abrir: "+e);0<v&&alert("Error, faltan corchetes por cerrar: "+e);0>v&&alert("Error, faltan corchetes por abrir: "+e);0!=u&&alert("Error, condicional incompleta: "+e);(x=h?h.getRoot():null)&&x.setAllEvalFun();return x};a.Parser.prototype.registerDefaultValues=function(){function b(a,c){for(var d in c)c.hasOwnProperty(d)&&(a[d]=c[d])}var c=this;c.variables.rnd=Math.random;c.variables.pi=c.variables["\u03c0"]=a.returnValue(Math.PI);c.variables.e=a.returnValue(Math.E);
c.variables.Infinity=Infinity;c.variables["-Infinity"]=-Infinity;c.variables.isTouch=c.variables["esT\u00e1ctil"]=a.hasTouchSupport?1:0;c.functions.sqr=function(a){return a*a};c.functions.sqrt=c.functions["ra\u00edz"]=Math.sqrt;c.functions.exp=Math.exp;c.functions.log=Math.log;c.functions.log10=function(a){return Math.log(a)/Math.log(10)};c.functions.abs=Math.abs;c.functions.ent=Math.floor;c.functions.sgn=function(a){return 0<a?1:0>a?-1:0};c.functions.ind=function(a){return a?1:0};c.functions.sin=
c.functions.sen=Math.sin;c.functions.cos=Math.cos;c.functions.tan=Math.tan;c.functions.cot=function(a){return 1/Math.tan(a)};c.functions.sec=function(a){return 1/Math.cos(a)};c.functions.csc=function(a){return 1/Math.sin(a)};c.functions.sinh=c.functions.senh=function(a){return(Math.exp(a)-Math.exp(-a))/2};c.functions.cosh=function(a){return(Math.exp(a)+Math.exp(-a))/2};c.functions.tanh=function(a){return(Math.exp(a)-Math.exp(-a))/(Math.exp(a)+Math.exp(-a))};c.functions.coth=function(a){return 1/c.functions.tanh(a)};
c.functions.sech=function(a){return 1/c.functions.cosh(a)};c.functions.csch=function(a){return 1/c.functions.sinh(a)};c.functions.asin=c.functions.asen=Math.asin;c.functions.acos=Math.acos;c.functions.atan=Math.atan;c.functions.min=Math.min;c.functions.max=Math.max;c.functions._Trace_=c.functions._Print_=function(){console.log.apply(console,arguments);return 0};c.functions._Num_=function(a){if("number"==typeof a)return"NaN";a=a.replace(",",".");return parseFloat(a)==a?parseFloat(a):"NaN"};c.functions._Stop_Audios_=
function(){c.evaluator.parent.stopAudios()};c.functions.esCorrecto=function(b,d,e){return a.esCorrecto(b,d,c.evaluator,e)};c.functions.escorrecto=function(b,d,e){return a.escorrecto(b,d,c.evaluator,e)};window.parent!==window&&(c.functions["parent.set"]=function(a,b){window.parent.postMessage({type:"set",name:a,value:b},"*");return 0},c.functions["parent.update"]=function(){window.parent.postMessage({type:"update"},"*");return 0},c.functions["parent.exec"]=function(a,b){window.parent.postMessage({type:"exec",
name:a,value:b},"*");return 0});c.functions._NumToStr_=c.functions._NumACadena_=function(a,b){a=isNaN(parseFloat(a))?0:parseFloat(a);return a.toFixed(parseInt(b||0))};c.functions._charAt_=c.functions._letraEn_=function(a,b){a=(a||"").toString();b=isNaN(parseInt(b))?0:parseInt(b);return a.charAt(b)};c.functions._substring_=c.functions._subcadena_=function(a,b,c){a=(a||"").toString();b=isNaN(parseInt(b))?0:parseInt(b);c=isNaN(parseInt(c))?0:parseInt(c);return 0<=b&&0<=c?a.substring(b,c):0>b&&0<=c?a.substring(c):
0>c&&0<=b?a.substring(b):""};c.functions._length_=c.functions._longitud_=function(a){return(a||"").toString().length};c.functions._indexOf_=c.functions["_\u00edndiceDe_"]=function(a,b){return(a||"").toString().indexOf((b||"").toString())};this.functions._Load_=function(b){var c="";b&&(c=(c=document.getElementById(b))&&"descartes/archivo"==c.type?c.text:a.openExternalFile(b));return c||""};this.functions._GetValues_=function(a,b){var c=this.functions._Load_(a).replace(/&brvbar;/g,String.fromCharCode("166"));
return this.functions._ExecBlock_(c,b)};this.functions._GetMatrix_=function(a,b){var c=this.functions._Load_(a).replace(/&brvbar;/g,String.fromCharCode("166"));return this.functions._StrToMatrix_(c,b)};this.functions._MatrixToStr_=function(a){var b=this.matrices[a];if(b){for(var c="<"+a+">\\n",d=this.getVariable(a+".columnas_usadas")||b.rows||0,e=this.getVariable(a+".filas_usadas")||b.cols||0,f,k=0;k<d;k++){for(var g=0;g<e;g++)f=b[k][g],void 0!==f&&("string"==typeof f&&(f="'"+f+"'"),c+=f+(g<e-1?" \u00a6 ":
""));c=c.replace(/(\u00A6 )$/g,"")+"\\n"}return c+("</"+a+">")}return""};this.functions._StrToMatrix_=function(a,b){var d=[],f=!1;d.type="matrix";if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var k=0,g=a.length;k<g;k++)a[k].match("<"+b+">")?(f=a[k].trim().split("<"+b+">"),2==f.length&&""!=f[1]&&d.push(f[1].split(String.fromCharCode("166")).map(e)),f=!0):a[k].match("</"+b+">")?(f=a[k].trim().split("</"+b+">"),2==f.length&&""!=f[0]&&d.push(f[0].split(String.fromCharCode("166")).map(e)),f=!1):
f&&d.push(a[k].split(String.fromCharCode("166")).map(e));c.matrices[b]=d;c.setVariable(b+".filas",d[0].length);c.setVariable(b+".columnas",d.length)}return"OK"};this.functions._GetVector_=function(a,b){var c=this.functions._Load_(a);return this.functions._StrToVector_(c,b)};this.functions._VectorToStr_=function(a){var b=this.vectors[a];if(b){for(var c="<"+a+">\\n",d=this.getVariable(a+".long_usada")||b._size_||0,e,f=0;f<d;f++)e=b[f],void 0!==e?("number"==typeof e&&(e=parseFloat(e)),c+=e+"\\n"):c+=
"0\\n";return c+("</"+a+">")}return""};this.functions._StrToVector_=function(a,b){var d=[],f=!1;d.type="vector";if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var k=0,g=a.length;k<g;k++)a[k].match("<"+b+">")?f=!0:a[k].match("</"+b+">")?f=!1:f&&d.push(e(a[k]));d._size_=d.length;c.vectors[b]=d;c.setVariable(b+".long",d.length);c.setVariable(b+".long_usada",d.length)}return"OK"};this.functions._ExecStr_=function(a){return this.functions._ExecBlock_(a,"")};this.functions._ExecBlock_=function(a,b){var d=
[],e=""==b;if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var f=0,k=a.length;f<k;f++)a[f].match("<"+b+">")?(e=a[f].trim().split("<"+b+">"),2==e.length&&""!=e[1]&&(d=d.concat(e[1].split(String.fromCharCode("166")))),e=!0):a[f].match("</"+b+">")?(e=a[f].trim().split("</"+b+">"),2==e.length&&""!=e[0]&&(d=d.concat(e[0].split(String.fromCharCode("166")))),e=!1):e&&(d=d.concat(a[f].split(String.fromCharCode("166"))));f=0;for(k=d.length;f<k;f++)e=d[f].split("="),e[0]=e[0].trim(),2==e.length&&""!=e[0]&&
(isNaN(parseFloat(e[1]))?c.setVariable(e[0],e[1].replace(/^\s|\s$/g,"").replace(/^'|'$/g,"")):c.setVariable(e[0],parseFloat(e[1])))}return 0};var d=document.createElement("a");d.setAttribute("target","_blank");var k,g=null;this.functions._Save_=function(b,c){document.body.appendChild(d);k=new Blob(["\ufeff",c.replace(/\\n/g,"\n").replace(/\\q/g,"'").replace(/\\r/g,"").replace(/\\_/g,"\\")],{type:"text/plain"});d.setAttribute("download",b);d.setAttribute("href",window.URL.createObjectURL(k));null==
g&&(d.click(),g=!0,a.setTimeout(function(){g=null},1E3));document.body.removeChild(d);return 0};var h,n,p,r,l=document.createElement("input");l.setAttribute("type","file");onHandleFileSelect=function(b){h=b.target.files;n=new FileReader;n.onload=function(b){a.addExternalFileContent(h[0].name,b.target.result);c.setVariable(p,h[0].name);c.getFunction(r)&&(c.getFunction(r).apply(c.evaluator,[]),c.evaluator.parent.update())};0<h.length&&n.readAsText(h[0])};l.addEventListener("change",onHandleFileSelect);
this.functions._Open_=function(a,b){p=a;r=b;l.click();return 0};var u,v,x=document.createElement("input");x.setAttribute("type","file");onHandleFileSelect2=function(a){a.stopPropagation();a.preventDefault();u=a.target.files;v=new FileReader;v.onload=function(a){var d={};try{d=JSON.parse(a.target.result)}catch(e){}d.variables&&b(c.variables,d.variables);d.vectors&&b(c.vectors,d.vectors);d.matrices&&b(c.matrices,d.matrices);c.evaluator.parent.update()};0<u.length&&v.readAsText(u[0])};x.removeEventListener("change",
onHandleFileSelect2);x.addEventListener("change",onHandleFileSelect2);this.functions._AnchoDeCadena_=this.functions._strWidth_=function(b,c,d,e){return a.getTextWidth(b,a.convertFont(c+","+d+","+e))};this.functions._Rojo_=this.functions._Red_=function(b){return(new a.Color(b)).r/255};this.functions._Verde_=this.functions._Green_=function(b){return(new a.Color(b)).g/255};this.functions._Azul_=this.functions._Blue_=function(b){return(new a.Color(b)).b/255}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g=Math.floor;a.Evaluator=function(e){this.parent=e;this.parser=new a.Parser(this);this.variables=this.parser.variables;this.functions=this.parser.functions;this.vectors=this.parser.vectors;this.matrices=this.parser.matrices;this.definitions=this.parser.definitions};a.Evaluator.prototype.setDefinition=function(a,d){this.definitions[a]=d};a.Evaluator.prototype.getDefinition=function(a){return this.definitions[a]};a.Evaluator.prototype.setVariable=function(a,d){this.variables[a]=d};a.Evaluator.prototype.getVariable=
function(a){return this.variables[a]};a.Evaluator.prototype.setVector=function(a,d,l){d=0>d?0:g(d);this.vectors[a][d]=l};a.Evaluator.prototype.getVector=function(a,d){d=0>d?0:g(d);return this.vectors[a][d]};a.Evaluator.prototype.setMatrix=function(a,d,l,c){d=0>d?0:g(d);l=0>l?0:g(l);this.matrices[a][d][l]=c};a.Evaluator.prototype.getMatrix=function(a,d,l){d=0>d?0:g(d);l=0>l?0:g(l);return this.matrices[a][d][l]};a.Evaluator.prototype.setFunction=function(a,d){this.functions[a]=d};a.Evaluator.prototype.getFunction=
function(a){return this.functions[a]};a.Evaluator.prototype.eval=function(a){return a?a.evaluate(this):0};a.externalEvaluator=new a.Evaluator;return a}(descartesJS||{}),richTextEditor=function(a){a.narrowSpace=String.fromCharCode(65279);a.separatorNode=document.createElement("span");a.separatorNode.setAttribute("contenteditable","false");a.separatorNode.setAttribute("data-noedit","true");a.separatorNode.setAttribute("class","SeparatorNode");a.separatorNode.innerHTML=a.narrowSpace;a.getChildrenByType=
function(g,e){var d=g.children,l;if(g.hasChildNodes){for(var c=0,h=d.length;c<h;c++)if(d[c].getAttribute("class")===e)return d[c];c=0;for(h=d.length;c<h;c++)if(l=a.getChildrenByType(d[c],e))return l}else return null};a.newTextBlock=function(){var a=document.createElement("div");a.setAttribute("class","TextBlock");return a};a.newTextLineBlock=function(){var a=document.createElement("div");a.setAttribute("class","TextLine");return a};a.newTextNode=function(g,e){var d=document.createDocumentFragment(),
l=document.createElement("span");l.setAttribute("class","TextNode");l.setAttribute("style",g);l.innerHTML=e.replace(/ /g,"&nbsp;");var c=a.separatorNode.cloneNode(!0);c.setAttribute("style",g);d.appendChild(l);d.appendChild(c);return d};a.newNewLine=function(g){var e=document.createDocumentFragment(),d=document.createElement("span");d.setAttribute("class","TextNode");d.setAttribute("style",g);d.innerHTML=a.narrowSpace;var l=a.separatorNode.cloneNode(!0);l.setAttribute("style",g);e.appendChild(d);
e.appendChild(l);return e};a.newFormula=function(g,e){var d=document.createDocumentFragment(),l=document.createElement("span");l.setAttribute("class","FormulaNode");l.setAttribute("style",g);l.appendChild(e);var c=a.separatorNode.cloneNode(!0);c.setAttribute("style",g);d.appendChild(a.newTextNode(g,a.narrowSpace));d.appendChild(l);d.appendChild(c);d.appendChild(a.newTextNode(g,a.narrowSpace));return d};a.newHyperLink=function(a,e,d){var l=document.createElement("span");l.setAttribute("class","HyperLinkNode");
l.setAttribute("style",a);a=document.createElement("a");a.setAttribute("target","_blank");a.setAttribute("href",d);a.textContent=e;l.appendChild(a);return l};a.newComponentSpace=function(a,e){var d=document.createElement("span");d.setAttribute("class","ComponentSpaceNode");d.setAttribute("style","display:inline-block; vertical-align:top; width:"+a+"px; height:0px;");d.setAttribute("id","cID_"+e);return d};a.newComponentNumCtrl=function(a,e,d){var l=document.createElement("span");l.setAttribute("class",
"ComponentNumCtrlNode");l.setAttribute("style","display:inline-block; vertical-align:middle; width:"+a+"px; height:"+e+"px;");l.setAttribute("id","cID_"+d);return l};a.newDynamicTextNode=function(g){var e=document.createDocumentFragment(),d=document.createElement("span");d.setAttribute("class","DynamicTextNode");d.innerHTML="[expr]";d.setAttribute("contenteditable","false");d.setAttribute("data-decimals",g.decimals);d.setAttribute("data-fixed",g.fixed);d.setAttribute("data-value",g.value);d.setAttribute("data-noedit",
"true");e.appendChild(a.newFormulaTextNode(a.narrowSpace));e.appendChild(d);e.appendChild(a.separatorNode.cloneNode(!0));e.appendChild(a.newFormulaTextNode(a.narrowSpace));return e};a.newFormulaTextNode=function(g){var e=document.createDocumentFragment(),d=document.createElement("span");d.setAttribute("class","TextNode");d.innerHTML=g.replace(/ /g,"&nbsp;");e.appendChild(d);e.appendChild(a.separatorNode.cloneNode(!0));return e};a.newMathSymbolNode=function(g){var e=document.createDocumentFragment(),
d=document.createElement("span");d.setAttribute("class","TextNode MathSymbolNode");d.textContent=g;e.appendChild(d);e.appendChild(a.separatorNode.cloneNode(!0));return e};a.newSuperIndexNode=function(g){var e=document.createDocumentFragment(),d=document.createElement("span");d.setAttribute("class","SuperIndexNode");d.appendChild(g);e.appendChild(a.newFormulaTextNode(a.narrowSpace));e.appendChild(d);e.appendChild(a.newFormulaTextNode(a.narrowSpace));return e};a.newSubIndexNode=function(g){var e=document.createDocumentFragment(),
d=document.createElement("span");d.setAttribute("class","SubIndexNode");d.appendChild(g);e.appendChild(a.newFormulaTextNode(a.narrowSpace));e.appendChild(d);e.appendChild(a.newFormulaTextNode(a.narrowSpace));return e};a.newFractionNode=function(g,e){var d=document.createDocumentFragment(),l=document.createElement("table");l.setAttribute("class","FractionNode");var c=document.createElement("tr"),h=document.createElement("td"),k=document.createElement("span");k.setAttribute("class","NumeratorNode");
c.appendChild(h);h.appendChild(k);k.appendChild(g);l.appendChild(c);c=document.createElement("tr");h=document.createElement("td");k=document.createElement("span");k.setAttribute("class","DenominatorNode");c.appendChild(h);h.appendChild(k);k.appendChild(e);l.appendChild(c);d.appendChild(a.newFormulaTextNode(a.narrowSpace));d.appendChild(l);d.appendChild(a.separatorNode.cloneNode(!0));d.appendChild(a.newFormulaTextNode(a.narrowSpace));return d};a.newRadicalNode=function(g,e){var d=document.createDocumentFragment(),
l=document.createElement("span");l.setAttribute("class","RadicalNode");var c=document.createElement("span");c.setAttribute("class","IndexNode");c.appendChild(g);l.appendChild(c);c=document.createElement("span");c.setAttribute("class","RadicalSign");c.setAttribute("contenteditable","false");c.setAttribute("data-noedit","true");c.innerHTML="\u221a";l.appendChild(c);c=document.createElement("span");c.setAttribute("class","RadicandNode");c.appendChild(e);l.appendChild(c);d.appendChild(a.newFormulaTextNode(a.narrowSpace));
d.appendChild(l);d.appendChild(a.separatorNode.cloneNode(!0));d.appendChild(a.newFormulaTextNode(a.narrowSpace));return d};a.newSumNode=function(g,e,d){var l=document.createDocumentFragment(),c=document.createElement("span");c.setAttribute("class","SumNode");var h=document.createElement("table");h.setAttribute("class","SumContainer");var k=document.createElement("tr"),b=document.createElement("td"),v=document.createElement("span");v.setAttribute("class","SumToNode");k.appendChild(b);b.appendChild(v);
v.appendChild(g);h.appendChild(k);g=document.createElement("tr");k=document.createElement("td");b=document.createElement("span");b.setAttribute("class","SigmaSign");b.setAttribute("contenteditable","false");b.setAttribute("data-noedit","true");b.innerHTML="\u03a3";g.appendChild(k);k.appendChild(b);h.appendChild(g);g=document.createElement("tr");k=document.createElement("td");b=document.createElement("span");b.setAttribute("class","SumFromNode");g.appendChild(k);k.appendChild(b);b.appendChild(e);h.appendChild(g);
e=document.createElement("span");e.setAttribute("class","SumWhatNode");e.appendChild(d);c.appendChild(h);c.appendChild(a.separatorNode.cloneNode(!0));c.appendChild(e);l.appendChild(a.newFormulaTextNode(a.narrowSpace));l.appendChild(c);l.appendChild(a.separatorNode.cloneNode(!0));l.appendChild(a.newFormulaTextNode(a.narrowSpace));return l};a.newIntegralNode=function(g,e,d){var l=document.createDocumentFragment(),c=document.createElement("span");c.setAttribute("class","IntegralNode");var h=document.createElement("table");
h.setAttribute("class","IntegralContainer");var k=document.createElement("tr"),b=document.createElement("td"),v=document.createElement("span");v.setAttribute("class","IntegralToNode");k.appendChild(b);b.appendChild(v);v.appendChild(g);h.appendChild(k);g=document.createElement("tr");k=document.createElement("td");b=document.createElement("span");b.setAttribute("class","IntegralSign");b.setAttribute("contenteditable","false");b.setAttribute("data-noedit","true");b.innerHTML="\u222b";g.appendChild(k);
k.appendChild(b);h.appendChild(g);g=document.createElement("tr");k=document.createElement("td");b=document.createElement("span");b.setAttribute("class","IntegralFromNode");g.appendChild(k);k.appendChild(b);b.appendChild(e);h.appendChild(g);e=document.createElement("span");e.setAttribute("class","IntegralWhatNode");e.appendChild(d);c.appendChild(h);c.appendChild(a.separatorNode.cloneNode(!0));c.appendChild(e);l.appendChild(a.newFormulaTextNode(a.narrowSpace));l.appendChild(c);l.appendChild(a.separatorNode.cloneNode(!0));
l.appendChild(a.newFormulaTextNode(a.narrowSpace));return l};a.newLimitNode=function(g,e,d){var l=document.createDocumentFragment(),c=document.createElement("span");c.setAttribute("class","LimitNode");var h=document.createElement("span");h.setAttribute("class","LimitContainer");var k=document.createElement("span");k.setAttribute("class","LimitSign");k.setAttribute("contenteditable","false");k.setAttribute("data-noedit","true");k.innerHTML="&nbsp;l\u00edm";h.appendChild(k);k=document.createElement("span");
k.setAttribute("class","LimitFromToNode");h.appendChild(k);var b=document.createElement("span");b.setAttribute("class","LimitFromNode");b.appendChild(e);k.appendChild(b);e=document.createElement("span");e.setAttribute("class","LimitArrow");e.setAttribute("data-noedit","true");e.innerHTML="\u2192";k.appendChild(e);e=document.createElement("span");e.setAttribute("class","LimitToNode");e.appendChild(g);k.appendChild(e);g=document.createElement("span");g.setAttribute("class","LimitWhatNode");g.appendChild(d);
c.appendChild(h);c.appendChild(a.separatorNode.cloneNode(!0));c.appendChild(g);l.appendChild(a.newFormulaTextNode(a.narrowSpace));l.appendChild(c);l.appendChild(a.separatorNode.cloneNode(!0));l.appendChild(a.newFormulaTextNode(a.narrowSpace));return l};a.newElementNode=function(a,e){var d=document.createElement("span");d.setAttribute("class",a);d.appendChild(e);return d};a.newMatrixNode=function(g,e,d){var l=document.createDocumentFragment(),c=document.createElement("table");c.setAttribute("class",
"MatrixNode");for(var h=0;h<g;h++){for(var k=document.createElement("tr"),b=0;b<e;b++){var v=document.createElement("td");v.appendChild(a.newElementNode("MatrixElementNode",d[b+h*e]));k.appendChild(v)}c.appendChild(k)}l.appendChild(a.newFormulaTextNode(a.narrowSpace));l.appendChild(c);l.appendChild(a.separatorNode.cloneNode(!0));l.appendChild(a.newFormulaTextNode(a.narrowSpace));return l};a.newCasesElementNode=function(g,e){var d=document.createDocumentFragment(),l=document.createElement("table");
l.setAttribute("class","CasesNode");for(var c=0;c<g;c++){var h=document.createElement("tr"),k=document.createElement("td");k.appendChild(a.newElementNode("CasesElementNode",e[c]));h.appendChild(k);l.appendChild(h)}d.appendChild(a.newFormulaTextNode(a.narrowSpace));d.appendChild(a.newCurlyBracket(g));d.appendChild(l);d.appendChild(a.separatorNode.cloneNode(!0));d.appendChild(a.newFormulaTextNode(a.narrowSpace));return d};a.newCurlyBracket=function(a){var e=document.createDocumentFragment(),d=document.createElement("div");
d.setAttribute("class","CurlyBracket");d.setAttribute("contenteditable","false");d.setAttribute("data-noedit","true");for(var l=0,c=2*a-1;l<c;l++){a=0==l?"\u23a7":l==c-1?"\u23a9":l==parseInt(c/2)?"\u23a8":"\u23aa";var h=document.createElement("span");h.innerHTML=a;d.appendChild(h)}e.appendChild(d);return e};a.adjustFormulaFontSize=function(g,e){for(var d,l,c,h=0,k=g.children.length;h<k;h++)d=g.children[h],l=d.getAttribute("class")||" ",c=e,l&&(l.match("FormulaNode")?c=parseInt(d.style["font-size"]):
l.match("SuperIndexNode")||l.match("SubIndexNode")?(c=Math.max(Math.floor(c-c/3),8),d.style["font-size"]=c+"px",d.style["line-height"]=c+"px"):l.match("FractionNode")?(c=Math.max(Math.round(c-.1*c),8),d.style["font-size"]=c+"px",d.style["line-height"]=c+"px"):l.match("IndexNode")?(c=Math.max(Math.round(c-.2*c),8),d.style["font-size"]=c+"px",d.style["line-height"]=c+"px"):l.match("LimitFromToNode")?(d.style["font-size"]=c+"px",d.style["line-height"]=c+"px"):l.match("ToNode")||l.match("FromNode")?(d.style["font-size"]=
c+"px",d.style["line-height"]=c+"px",c=Math.max(Math.round(c-.2*c),8)):c&&(d.style["font-size"]=c+"px",d.style["line-height"]=c+"px")),a.adjustFormulaFontSize(d,c)};a.adjustHeight=function(g){for(var e,d,l,c,h=0,k=g.children.length;h<k;h++){e=g.children[h];d=e.getAttribute("class");a.adjustHeight(e);c=parseInt(e.offsetHeight);if("FractionNode"==d)e.style.verticalAlign=parseInt(e.style.fontSize)/3+"px";else if("SuperIndexNode"==d)e.style.verticalAlign=.5*l+"px";else if("SubIndexNode"==d)e.style.verticalAlign=
.28*-l+"px";else if("IndexNode"==d)e.style.verticalAlign=.7*c+"px";else if("RadicalNode"==d)d=a.getChildrenByType(e,"RadicalSign"),e=a.getChildrenByType(e,"RadicandNode"),d.style.fontSize=e.offsetHeight+"px",d.style.lineHeight="85%",d.style.height=e.offsetHeight+"px",d.style.verticalAlign="bottom",e.style.marginLeft=-(e.offsetHeight/31)+"px";else if("SumNode"==d)d=a.getChildrenByType(e,"SumContainer"),a.getChildrenByType(d,"SumToNode"),l=a.getChildrenByType(d,"SigmaSign"),a.getChildrenByType(d,"SumFromNode"),
a.getChildrenByType(e,"SumWhatNode"),d.style.verticalAlign=parseInt(.9*l.offsetHeight)+"px";else if("IntegralNode"==d){d=a.getChildrenByType(e,"IntegralContainer");l=a.getChildrenByType(d,"IntegralToNode");var b=a.getChildrenByType(d,"IntegralSign"),v=a.getChildrenByType(d,"IntegralFromNode");a.getChildrenByType(e,"IntegralWhatNode");d.style.verticalAlign=parseInt(.9*b.offsetHeight)+"px";l.style.paddingLeft=1.5*b.offsetWidth+"px";v.style.paddingLeft=b.offsetWidth/2+"px"}else if("MatrixNode"==d){l=
e.querySelectorAll(".MatrixElementNode");b=maxH=-1E4;for(d=0;d<l.length;d++)b=Math.max(b,l[d].offsetWidth),maxH=Math.max(maxH,l[d].offsetHeight);for(d=0;d<l.length;d++)l[d].parentNode.style.width=b+"px",l[d].parentNode.style.height=maxH+"px"}else if("CasesNode"==d){l=e.querySelectorAll(".CasesElementNode");b=maxH=-1E4;for(d=0;d<l.length;d++)b=Math.max(b,l[d].offsetWidth),maxH=Math.max(maxH,l[d].offsetHeight);for(d=0;d<l.length;d++)l[d].parentNode.style.width=b+"px",l[d].parentNode.style.height=maxH+
"px";if(e.previousSibling)for(l=e.offsetHeight/e.previousSibling.children.length,d=0,b=e.previousSibling.children.length;d<b;d++)e.previousSibling.children[d].style.height=l+"px",e.previousSibling.children[d].style.fontSize=.8*l+1+"px",d==parseInt(b/2)?e.previousSibling.children[d].style.lineHeight=2.3*l+"px":e.previousSibling.children[d].style.lineHeight=1.5*l+"px"}l=c}};return a}(richTextEditor||{}),descartesJS=function(a){function g(a){var b=document.createDocumentFragment(),c,d;0===a.children.length&&
(d=richTextEditor.newFormulaTextNode(richTextEditor.narrowSpace),b.appendChild(d));for(var e=0;e<a.children.length;e++){c=a.children[e];if("text"===c.nodeType)d=richTextEditor.newFormulaTextNode(c.value);else if("dynamicText"===c.nodeType)d=richTextEditor.newDynamicTextNode(c);else if("mathSymbol"===c.nodeType)d=richTextEditor.newMathSymbolNode(c.value);else if("superIndex"===c.nodeType)d=richTextEditor.newSuperIndexNode(g(c));else if("subIndex"===c.nodeType)d=richTextEditor.newSubIndexNode(g(c));
else if("fraction"===c.nodeType)d=richTextEditor.newFractionNode(g(c.children[0]),g(c.children[1]));else if("radical"===c.nodeType)d=richTextEditor.newRadicalNode(g(c.children[0]),g(c.children[1]));else if("sum"===c.nodeType)d=richTextEditor.newSumNode(g(c.children[1]),g(c.children[0]),g(c.children[2]));else if("integral"===c.nodeType)d=richTextEditor.newIntegralNode(g(c.children[1]),g(c.children[0]),g(c.children[2]));else if("limit"===c.nodeType)d=richTextEditor.newLimitNode(g(c.children[1]),g(c.children[0]),
g(c.children[2]));else if("matrix"===c.nodeType){d=[];for(var k=0,h=c.children.length;k<h;k++)d.push(g(c.children[k]));d=richTextEditor.newMatrixNode(c.rows,c.columns,d)}else if("defparts"===c.nodeType){d=[];for(k=0;k<c.parts;k++)d.push(g(c.children[k]));d=richTextEditor.newCasesElementNode(c.parts,d)}else d=document.createDocumentFragment(),console.log(">>>",c,"<<<");b.appendChild(d)}return b}if(a.loadLib)return a;var e=Math.floor,d=Math.max,l=2,c=!1,h;a.RTFNode=function(a,b,c,d){this.evaluator=
a;this.type="rtfNode";this.value=b;this.nodeType=c;this.style=d;this.styleString=d.toString();this.color=d.textColor;this.underline=d.textUnderline;this.overline=d.textOverline;this.parent=null;this.children=[];switch(this.nodeType){case "textBlock":this.draw=this.drawTextBlock;break;case "textLineBlock":this.draw=this.drawTextLineBlock;break;case "formula":this.draw=this.drawFormula;break;case "superIndex":this.draw=this.drawSuperIndex;break;case "subIndex":this.draw=this.drawSubIndex;break;case "dynamicText":this.draw=
this.drawDynamicText;this.decimal_symbol=this.evaluator.parent.decimal_symbol;break;case "fraction":this.draw=this.drawFraction;break;case "numerator":case "denominator":this.draw=this.drawNumDen;break;case "radical":this.draw=this.drawRadical;break;case "limit":this.draw=this.drawLimit;break;case "integral":this.draw=this.drawIntegral;break;case "sum":this.draw=this.drawSum;break;case "matrix":this.draw=this.drawMatrix;break;case "defparts":this.draw=this.drawDefparts;break;case "text":case "newLine":this.draw=
this.drawText;break;case "hyperlink":this.draw=this.drawHyperlink;break;case "mathSymbol":this.draw=this.drawMathSymbol;break;case "index":case "radicand":case "from":case "to":case "what":case "element":this.draw=this.drawGenericBlock;break;case "componentNumCtrl":this.draw=this.drawComponentNumCtrl;break;case "componentSpace":this.draw=this.drawComponentSpace}};a.RTFNode.prototype.getRoot=function(){return null==this.parent?this:this.parent.getRoot()};a.RTFNode.prototype.addChild=function(a){a.parent=
this;this.children.push(a)};var k=0,b=0,v=0,u;a.RTFNode.prototype.getTextMetrics=function(){this.spaceWidth=a.getTextWidth(" ",this.styleString);var e=k,g=b,h=v;if("textBlock"==this.nodeType)for(h=0,e=this.children.length;h<e;h++)this.children[h].getTextMetrics();else if("textLineBlock"==this.nodeType)this.getBlockMetric();else if("newLine"==this.nodeType)u=a.getFontMetrics(this.styleString),this.w=0,this.h=u.h,this.baseline=u.baseline,this.descent=u.descent,this.ascent=u.ascent;else if("text"==this.nodeType||
"dynamicText"==this.nodeType)u=a.getFontMetrics(this.styleString),this.baseline=u.baseline,this.descent=u.descent,this.ascent=u.ascent,g=this.value,"string"!=typeof this.value&&(h=void 0==this.decimals?l:this.evaluator.eval(this.decimals),e=void 0==this.fixed?c:this.fixed,g=this.evaluator.eval(this.value,h,e),parseFloat(g).toString()===g.toString()&&(g=e?parseFloat(g).toFixed(h):a.removeNeedlessDecimals(parseFloat(g).toFixed(h)),g=(""+g).replace(".",this.decimal_symbol)),g+=" "),this.w=a.getTextWidth(g,
this.styleString),this.h=u.h;else if("formula"==this.nodeType)this.getBlockMetric();else if("hyperlink"===this.nodeType){u=a.getFontMetrics(this.styleString);this.w=a.getTextWidth(this.value,this.styleString);this.h=u.h;this.baseline=u.baseline;this.descent=u.descent;this.ascent=u.ascent;this.clickCacher=document.createElement("div");this.clickCacher.setAttribute("style","position:absolute; width:"+this.w+"px; height:"+this.h+"px; cursor:pointer;");var x=new a.OpenURL(this.evaluator.parent,this.URL),
f=this;this.clickCacher.addEventListener("click",function(a){f.click=!0;x.actionExec()})}else if("superIndex"==this.nodeType)u=a.getFontMetrics(this.styleString),this.getBlockMetric(),0>this.h&&(this.ascent=u.ascent,this.descent=u.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),h=h/2-g+this.h,this.superIndexPos=h-this.ascent,this.ascent=h,this.descent=g,this.baseline=this.ascent,this.h=this.ascent+this.descent;else if("subIndex"==this.nodeType)u=a.getFontMetrics(this.styleString),
this.getBlockMetric(),0>this.h&&(this.ascent=u.ascent,this.descent=u.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),this.subIndexPos=g+1,this.ascent=e,this.descent=this.subIndexPos+this.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent;else if("fraction"==this.nodeType){var e=this.children[0],q=this.children[1];u=a.getFontMetrics(e.styleString);e.getBlockMetric();q.getBlockMetric();0>e.h&&(e.h=u.h,e.w=this.spaceWidth);0>q.h&&(q.h=u.h,q.w=this.spaceWidth);this.h=
e.h+q.h-1;this.ascent=e.h+Math.round(h/2)-g;this.descent=this.h-this.ascent;this.baseline=this.ascent;this.w=d(e.w,q.w)+this.spaceWidth+8}else if("radical"==this.nodeType){g=this.children[0].style.clone();if(1===this.children.length)this.children[1]=new a.RTFNode(this.evaluator," ","radicand",g),this.children[1].addChild(this.children[0]),this.children[0]=new a.RTFNode(this.evaluator," ","index",g);else if("index"!==this.children[0].nodeType||"radicand"!==this.children[1].nodeType){q=new a.RTFNode(this.evaluator,
"","radicand",g);h=0;for(e=this.children.length;h<e;h++)q.addChild(this.children[h]);this.children=[];this.children[0]=new a.RTFNode(this.evaluator,"","index",g);this.children[1]=q}h=this.children[0];e=this.children[1];0>=h.children.length&&(g=this.style.clone(),g.fontSize=parseInt(g.fontSize-.2*g.fontSize),h.addChild(new a.RTFNode(this.evaluator," ","text",g)));0>=e.children.length&&e.addChild(new a.RTFNode(this.evaluator," ","text",this.style.clone()));h.getBlockMetric();e.getBlockMetric();this.ascent=
e.h/2<h.h?e.h/2+h.h+2-e.descent:e.ascent+4;this.descent=e.descent;this.baseline=this.ascent;this.h=this.ascent+this.descent;this.w=h.w+e.w+4*this.spaceWidth}else if("sum"==this.nodeType||"integral"==this.nodeType)g=this.children[0],h=this.children[1],e=this.children[2],g.getBlockMetric(),h.getBlockMetric(),e.getBlockMetric(),-1==g.ascent&&(q=a.getFontMetrics(g.styleString),g.ascent=q.ascent,g.descent=q.descent,g.h=q.h),-1==h.ascent&&(q=a.getFontMetrics(h.styleString),h.ascent=q.ascent,h.descent=q.descent,
h.h=q.h),u=a.getFontMetrics(this.styleString),this.ascent=u.h+h.h>e.ascent?u.h-u.descent+h.h:e.ascent,this.descent=g.h>e.descent?g.h+u.descent:e.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent,q=this.style.clone(),q.fontType=a.serif_font,q.Bold="bold","sum"==this.nodeType?(q=q.toString(),q=a.getTextWidth(String.fromCharCode(8721),q),this.w=d(g.w,h.w,q)+d(e.w,this.spaceWidth)+this.spaceWidth):"integral"==this.nodeType&&(q.fontSize*=1.5,q=q.toString(),q=a.getTextWidth(String.fromCharCode(8747),
q),this.w=d(g.w,h.w,q)+d(e.w,this.spaceWidth)+2*this.spaceWidth);else if("limit"==this.nodeType)g=this.children[0],h=this.children[1],e=this.children[2],u=a.getFontMetrics(this.styleString),g.getBlockMetric(),h.getBlockMetric(),e.getBlockMetric(),-1==g.ascent&&(q=a.getFontMetrics(g.styleString),g.ascent=q.ascent,g.descent=q.descent,g.h=q.h),-1==h.ascent&&(q=a.getFontMetrics(h.styleString),h.ascent=q.ascent,h.descent=q.descent,h.h=q.h),-1==e.ascent&&(q=a.getFontMetrics(e.styleString),e.ascent=q.ascent,
e.descent=q.descent,e.h=q.h),this.ascent=e.ascent,this.descent=d(u.h,g.h,h.h,e.descent),this.baseline=this.ascent,this.h=this.ascent+this.descent,q=a.getTextWidth(" "+String.fromCharCode(8594),this.styleString),0==g.w&&(g.w=this.spaceWidth),0==h.w&&(h.w=this.spaceWidth),0==e.w&&(e.w=this.spaceWidth),this.w=h.w+g.w+e.w+q+this.spaceWidth;else if("matrix"==this.nodeType){u=a.getFontMetrics(this.styleString);for(var q=u.ascent,m=u.descent,w=u.h,y=this.spaceWidth,B,E,h=0,e=this.children.length;h<e;h++)this.children[h].getBlockMetric(),
B=this.children[h].h,E=this.children[h].w,w<B&&(w=B,q=this.children[h].ascent,m=this.children[h].descent),y<E&&(y=E);this.childWidth=y+2*this.spaceWidth;this.childHeight=w;this.childAscent=q;this.childDescent=m;this.h=this.rows*w;this.ascent=this.h/2;this.descent=this.h/2;this.w=this.columns*this.childWidth+this.spaceWidth}else if("defparts"==this.nodeType){u=a.getFontMetrics(this.styleString);q=u.ascent;m=u.descent;w=u.h;y=this.spaceWidth;h=0;for(e=this.children.length;h<e;h++)this.children[h].getBlockMetric(),
B=this.children[h].h,E=this.children[h].w,w<B&&(w=B,q=this.children[h].ascent,m=this.children[h].descent),y<E&&(y=E);this.childWidth=y+2*this.spaceWidth;this.childHeight=w;this.childAscent=q;this.childDescent=m;this.h=this.parts*w;this.ascent=this.h/2+g;this.descent=this.h-this.ascent;this.w=this.childWidth+ +this.spaceWidth/2}else"mathSymbol"==this.nodeType?(u=a.getFontMetrics(this.styleString),this.baseline=u.baseline,this.descent=u.descent,this.ascent=u.ascent,this.w=a.getTextWidth(this.value,
this.styleString)+this.spaceWidth,this.h=u.h):"componentNumCtrl"==this.nodeType?(u=a.getFontMetrics(this.styleString),this.componentNumCtrl=this.evaluator.parent.getControlByCId(this.value),this.baseline=u.baseline-2,this.descent=u.descent-2,this.ascent=u.ascent+2,this.h=this.componentNumCtrl.h||1,this.w=this.componentNumCtrl.w||1):"componentSpace"==this.nodeType?(this.componentSpace=this.evaluator.parent.getSpaceByCId(this.value),this.h=this.ascent=this.descent=this.baseline=0,this.w=this.componentSpace.w):
console.log("Element i=unknown",this.nodeType)};a.RTFNode.prototype.getBlockMetric=function(){this.w=0;for(var a=-1,c=-1,d,e=0,f=this.children.length;e<f;e++){d=this.children[e];d.getTextMetrics();childAscent=d.ascent;childDescent=d.descent;this.w+=d.w;var g=childDescent;d=d.h;k=childAscent;b=g;v=d;c<childAscent&&(c=childAscent);a<childDescent&&(a=childDescent)}this.ascent=c;this.descent=a;this.baseline=this.ascent;this.h=this.ascent+this.descent};a.RTFNode.prototype.drawTextBlock=function(a,b,d,
e,f,k,g,u){h=u;a.textAlign="start";a.textBaseline="alphabetic";this.stableWidth||(l=e,c=f,this.getTextMetrics());g=g?-this.children[0].ascent:0;u=f=e=0;for(var v=this.children.length;u<v;u++)0<u&&(f+=this.children[u-1].h),"center"==k?e=-this.children[u].w/2:"right"==k&&(e=-this.children[u].w),this.children[u].draw(a,b+e,d+g+f)};a.RTFNode.prototype.drawTextLineBlock=function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)a.strokeStyle=a.fillStyle=h,0<e&&(d+=this.children[e-1].w,"formula"==this.children[e-
1].nodeType&&(d+=2*this.children[e-1].spaceWidth)),this.children[e].draw(a,b+d,c+this.baseline)};a.RTFNode.prototype.drawFormula=function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)0<e&&(d+=this.children[e-1].w),this.children[e].draw(a,b+this.spaceWidth+d,c)};a.RTFNode.prototype.drawText=function(a,b,c){null!=this.color&&(a.fillStyle=this.color);a.font=this.styleString;a.fillText(this.value,b-1,c);if(this.underline){var d="bold"==this.style.textBold,e=d?1:.5;a.lineWidth=d?2:1;null!=this.color&&
(a.strokeStyle=this.color);a.beginPath();a.moveTo(b-1,parseInt(c+this.descent/2)+e);a.lineTo(b-1+this.w,parseInt(c+this.descent/2)+e);a.stroke()}this.overline&&(e=(d="bold"==this.style.textBold)?2:1.5,a.lineWidth=d?2:1,null!=this.color&&(a.strokeStyle=this.color),a.beginPath(),a.moveTo(b-1,parseInt(c-this.ascent)+e),a.lineTo(b-1+this.w,parseInt(c-this.ascent)+e),a.stroke())};a.RTFNode.prototype.drawDynamicText=function(b,d,k){var g=e(.5*this.spaceWidth),f=void 0==this.decimals?l:this.evaluator.eval(this.decimals),
h=void 0==this.fixed?c:this.fixed,m=this.evaluator.eval(this.value);parseFloat(m).toString()===m.toString()&&(m=h?parseFloat(m).toFixed(f):a.removeNeedlessDecimals(parseFloat(m).toFixed(f)),m=(""+m).replace(".",this.decimal_symbol));null!=this.color&&(b.fillStyle=this.color);b.font=this.styleString;this.w=a.getTextWidth(m,this.styleString);b.fillText(m,g+d,k);this.underline&&(h=(f="bold"==this.style.textBold)?1:.5,b.lineWidth=f?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(g+
d-1,parseInt(k+this.descent/2)+h),b.lineTo(g+d-1+this.w,parseInt(k+this.descent/2)+h),b.stroke());this.overline&&(h=(f="bold"==this.style.textBold)?2:1.5,b.lineWidth=f?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(g+d-1,parseInt(k-this.ascent)+h),b.lineTo(g+d-1+this.w,parseInt(k-this.ascent)+h),b.stroke());this.w+=2*g};a.RTFNode.prototype.drawHyperlink=function(a,b,c){this.clickCacher.parentNode||(a.canvas.nextSibling.className?a.canvas.parentNode.insertBefore(this.clickCacher,
a.canvas.nextSibling.nextSibling):a.canvas.parentNode.insertBefore(this.clickCacher,a.canvas.nextSibling),this.clickCacher.style.left=b-2+"px",this.clickCacher.style.top=c-this.ascent-2+"px");a.save();this.click?(a.fillStyle="red",a.strokeStyle="red"):(a.fillStyle="blue",a.strokeStyle="blue");a.font=this.styleStr;a.fillText(this.value,b-1,c);var d="bold"==this.style.textBold,e=d?1:.5;a.lineWidth=d?2:1;a.beginPath();a.moveTo(b-1,Math.ceil(c+this.descent/2)+e-2);a.lineTo(b-1+this.w,Math.ceil(c+this.descent/
2)+e-2);a.stroke();a.restore()};a.RTFNode.prototype.drawRadical=function(a,b,c){var d=e(this.spaceWidth);this.children[0].draw(a,b,e(c+this.children[1].descent-this.children[1].h/2-this.children[0].descent));this.children[1].draw(a,b+1.5*d+this.children[0].w,c);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(b,e(c+this.children[1].descent-this.children[1].h/2));a.lineTo(b+this.children[0].w,e(c+this.children[1].descent-this.children[1].h/2));a.lineTo(b+this.children[0].w+
.5*d,c+this.children[1].descent);a.lineTo(b+this.children[0].w+1*d,c-this.children[1].ascent);a.lineTo(b+this.children[0].w+2*d+this.children[1].w,c-this.children[1].ascent);a.stroke()};a.RTFNode.prototype.drawFraction=function(a,b,c){this.children[0].draw(a,b+(this.w-this.children[0].w)/2,c-this.ascent);this.children[1].draw(a,b+(this.w-this.children[1].w)/2,c-this.ascent+this.children[0].h-1);var d=e(.5*this.spaceWidth);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(b+
d,parseInt(c-this.ascent+this.children[0].h)-.5);a.lineTo(b-d+this.w-1,parseInt(c-this.ascent+this.children[0].h)-.5);a.stroke()};a.RTFNode.prototype.drawNumDen=function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)0<e&&(d+=this.children[e-1].w),this.children[e].draw(a,b+d,c+this.baseline)};a.RTFNode.prototype.drawSubIndex=function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)0<e&&(d+=this.children[e-1].w),this.children[e].draw(a,b+d,c+this.subIndexPos)};a.RTFNode.prototype.drawSuperIndex=
function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)0<e&&(d+=this.children[e-1].w),this.children[e].draw(a,b+d,c-this.superIndexPos)};a.RTFNode.prototype.drawLimit=function(b,c,d){var e=a.getFontMetrics(this.styleString),f=" "+String.fromCharCode(8594),k=a.getTextWidth(f,this.styleString);this.children[0].draw(b,c,d+e.descent+this.children[0].ascent);this.children[1].draw(b,c+this.children[0].w+k,d+e.descent+this.children[1].ascent);this.children[2].draw(b,c+k+this.children[0].w+this.children[1].w,
d);null!=this.color&&(b.fillStyle=this.color);b.font=this.styleString;b.fillText("l\u00edm",c+this.children[0].w,d);b.fillText(f,c+this.children[0].w,d+e.descent+this.children[0].ascent)};a.RTFNode.prototype.drawIntegral=function(b,c,k){var g=this.style.clone();g.fontSize*=1.5;g.fontType=a.serif_font;g.Bold="bold";var g=g.toString(),f=a.getTextWidth(String.fromCharCode(8747),g),h=a.getFontMetrics(g),m=d(this.children[0].w,this.children[1].w,e(1.5*f));this.children[0].draw(b,c+f,k+h.descent+this.children[0].ascent);
this.children[1].draw(b,c+f+this.spaceWidth/2,k-this.ascent+this.children[1].ascent);this.children[2].draw(b,c+m+f,k);null!=this.color&&(b.fillStyle=this.color);b.font=g;b.fillText(String.fromCharCode(8747),c,k+h.descent/2)};a.RTFNode.prototype.drawSum=function(b,c,k){var g=this.style.clone();g.fontType=a.serif_font;g.Bold="bold";var g=g.toString(),f=a.getTextWidth(String.fromCharCode(8721),g),h=a.getFontMetrics(this.styleString),m=d(this.children[0].w,this.children[1].w,f);this.children[0].draw(b,
c+(m-this.children[0].w)/2,k+h.descent+this.children[0].ascent);this.children[1].draw(b,c+(m-this.children[1].w)/2,k-h.ascent-this.children[1].descent);this.children[2].draw(b,c+m,k);null!=this.color&&(b.fillStyle=this.color);b.font=g;b.fillText(String.fromCharCode(8721),c+e((m-f)/2),k-5)};a.RTFNode.prototype.drawMatrix=function(a,b,c){for(var d,f,k=0,g=this.children.length;k<g;k++)d=k%this.columns,f=e(k/this.columns),this.children[k].draw(a,2*this.spaceWidth+b+d*this.childWidth,c-this.ascent+this.childAscent+
f*this.childHeight);a.lineWidth=1.5;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(e(b+this.spaceWidth)+.5,c-this.ascent+.5);a.lineTo(e(b+this.spaceWidth/2)+.5,c-this.ascent+.5);a.lineTo(e(b+this.spaceWidth/2)+.5,c+this.descent+.5);a.lineTo(e(b+this.spaceWidth)+.5,c+this.descent+.5);a.moveTo(e(b+this.w-this.spaceWidth)-.5,c-this.ascent+.5);a.lineTo(e(b+this.w-this.spaceWidth/2)-.5,c-this.ascent+.5);a.lineTo(e(b+this.w-this.spaceWidth/2)-.5,c+this.descent+.5);a.lineTo(e(b+this.w-
this.spaceWidth)-.5,c+this.descent+.5);a.stroke()};a.RTFNode.prototype.drawDefparts=function(a,b,c){for(var d=0,e=this.children.length;d<e;d++)this.children[d].draw(a,b+this.style.fontSize/2,c-this.ascent+this.childAscent+d%this.parts*this.childHeight);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(parseInt(b+.4*this.style.fontSize)+.5,c-this.ascent-1.5);a.lineTo(parseInt(b+.18*this.style.fontSize)+.5,c-this.ascent+3.5);a.lineTo(parseInt(b+.18*this.style.fontSize)+
.5,c+this.descent-this.h/2-4.5);a.lineTo(b,c+this.descent-this.h/2);a.lineTo(parseInt(b+.18*this.style.fontSize)+.5,c+this.descent-this.h/2+4.5);a.lineTo(parseInt(b+.18*this.style.fontSize)+.5,c+this.descent-3.5);a.lineTo(parseInt(b+.4*this.style.fontSize)+.5,c+this.descent+1.5);a.stroke()};a.RTFNode.prototype.drawMathSymbol=function(a,b,c){a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color,a.fillStyle=this.color);a.beginPath();"("==this.value?(a.font=this.styleString,a.fillText("(",b,c)):
")"==this.value?(a.font=this.styleString,a.fillText(")",b+this.spaceWidth,c)):(a.font=this.styleString,a.fillText(this.value,b,c))};a.RTFNode.prototype.drawGenericBlock=function(a,b,c){for(var d=0,e=0,k=this.children.length;e<k;e++)0<e&&(d+=this.children[e-1].w),this.children[e].draw(a,b+d,c)};a.RTFNode.prototype.drawComponentNumCtrl=function(a,b,c){this.parent.getTextMetrics();this.componentNumCtrl.expresion=this.evaluator.parser.parse("("+b+","+(c-this.ascent)+","+this.componentNumCtrl.w+","+this.componentNumCtrl.h+
")")};a.RTFNode.prototype.drawComponentSpace=function(a,b,c){this.getTextMetrics();this.componentSpace.xExpr=this.evaluator.parser.parse(b.toString());this.componentSpace.yExpr=this.evaluator.parser.parse((c-this.parent.ascent).toString())};a.RTFNode.prototype.draw=function(a,b,c){console.log(">>> Dibujo desconocido ",this.nodeType)};a.RTFNode.prototype.toHTML=function(a){return this.toHTMLAux(a)};a.RTFNode.prototype.toHTMLAux=function(a){var b=document.createDocumentFragment(),c=this.style?this.style.toCSS():
"";if("textBlock"===this.nodeType)for(var c=richTextEditor.newTextBlock(),d=0,e=this.children.length;d<e;d++)c.appendChild(this.children[d].toHTMLAux(a));else if("textLineBlock"===this.nodeType)for(c=richTextEditor.newTextLineBlock(),d=0,e=this.children.length;d<e;d++)c.appendChild(this.children[d].toHTMLAux(a));else"text"===this.nodeType?c=richTextEditor.newTextNode(c,this.value):"newLine"===this.nodeType?c=richTextEditor.newNewLine(c):"hyperlink"===this.nodeType?c=richTextEditor.newHyperLink(c,
this.value,this.URL):"formula"===this.nodeType?c=richTextEditor.newFormula(c,g(this)):"componentSpace"===this.nodeType?(a.spaces.push({cID:"cID_"+this.value,value:this.componentSpace}),c=richTextEditor.newComponentSpace(this.componentSpace.w,this.value)):"componentNumCtrl"===this.nodeType?(a.ctrs.push({cID:"cID_"+this.value,value:this.componentNumCtrl}),c=richTextEditor.newComponentNumCtrl(this.componentSpace.w,this.componentSpace.h,this.value)):(c=document.createDocumentFragment(),console.log(">>>",
this,"<<<"));b.appendChild(c);return b};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=String.fromCharCode,e,d,l,c,h,k,b,v,u,n,r,p;a.RTFTokenizer=function(){};a.RTFTokenizer.prototype.tokenize=function(a){if(a)a=a.replace(/\&gt;/g,">").replace(/\&lt;/g,"<").replace(/\&quote;/g,"''").replace(/\&squot;/g,"'").replace(/\\rquote /g,"'").replace(/\\endash /g,"-").replace(/\n/g," ").replace(/\r/g,"").replace(/\\uc(\d+) /g,"").replace(/\\uc(\d+)/g,"");else return[];e=[];d=
a.length;e=[];l="";h=c=0;b=a.charAt(0);v=!1;for(u="text";c<d;)k=b,b=a.charAt(c+1),v?"\\"===b||"{"===b||"}"===b||" "===b||";"===b?(v=!1,l+=k," "===b?(c++,b=a.charAt(c+1),p=!0):p=!1,(n=l.match(/^\'([0-9a-f]{2})/))?(r="","text"===u&&(r=e.pop().value),l=r+=g(parseInt(n[1],16))+l.substring(3)):(n=l.match(/^u[0-9]+/))?(r="","text"===u&&(r=e.pop().value),l=r+=g(n[0].substring(1))):("{"===l||"}"===l||"\\"==k?(e.push({type:"text",value:l+(p?" ":"")}),u="text"):(e.push({type:"controlWord",value:l}),u="controlWord"),
l="")):"{"==k||"}"==k||"\\"==k?(v=!1,e.push({type:"text",value:k}),u="text"):l+=k:"\\"===k?(v=!0,""!==l&&(e.push({type:"text",value:l}),u="text"),l=""):"{"===k?(h++,""!==l&&e.push({type:"text",value:l}),l="",e.push({type:"openBlock",value:h}),u="openBlock"):"}"===k?(""!==l&&e.push({type:"text",value:l}),l="",e.push({type:"closeBlock",value:h}),u="closeBlock",h--):l+=k,c++;""!==l&&e.push({type:"text",value:l});return e};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=
Math.max,e,d,l,c,h,k,b,v,u,n,r,p,x,f,q,m,w,y,B,E,D,F,H,G,K,C,A,J,I,N;a.RTFParser=function(b){this.evaluator=b;this.tokenizer=new a.RTFTokenizer};a.RTFParser.prototype.parse=function(z){z=e=this.tokenizer.tokenize(z);for(var M=[],L=!1,O=!1,Q=[],P=0,V=z.length;P<V;P++)if("openBlock"==z[P].type&&Q.push(z[P].value),"closeBlock"==z[P].type&&(Q.pop(),0>=Q.length&&(L=!1)),"controlWord"!=z[P].type||"expr"!=z[P].value&&"decimals"!=z[P].value||(O=!0),"controlWord"==z[P].type&&"mjaformula"==z[P].value&&(L=!0),
"text"==z[P].type&&L&&!O){for(var U=0,R=z[P].value,S="",T=0,ca=R.length;T<ca;T++)if("("==R.charAt(T)||")"==R.charAt(T)||"+"==R.charAt(T)||"-"==R.charAt(T)||"*"==R.charAt(T)||"="==R.charAt(T))S=R.substring(U,T),""!=S&&M.push({type:"text",value:S}),M.push({type:R.charAt(T),value:R.charAt(T)}),U=T+1;S=R.substring(U,T);""!=S&&M.push({type:"text",value:S})}else M.push(z[P]),"text"==z[P].type&&O&&(O=!1);e=M;d={};c=2;if("openBlock"==e[0].type&&"fonttbl"==e[1].value){for(l=e[0].value;"closeBlock"!=e[c].type&&
e[c].value!=l;)d[e[c].value]=e[c+2].value.substring(0,e[c+2].value.length-1),c+=3;c++}h={};k=0;if("openBlock"==e[c].type&&"colortbl"==e[c+1].value){l=e[c++].value;for(c++;"closeBlock"!=e[c].type&&e[c].value!=l;)b=parseInt(e[c++].value.substring(3)).toString(16),v=parseInt(e[c++].value.substring(5)).toString(16),u=parseInt(e[c++].value.substring(4)).toString(16),";"===e[c].value&&c++,h[k++]="#"+(2>b.length?"0"+b:b)+(2>v.length?"0"+v:v)+(2>u.length?"0"+u:u);c++}n=new a.RTFNode(this.evaluator,"","textBlock",
"",!1,"");r=new a.RTFNode(this.evaluator,"","textLineBlock","",!1,"");n.addChild(r);f=x=p=null;E=B=y=w=m=q=!1;D=[new a.FontStyle(20,"Arial","","",!1,!1,null)];F=D[0];H=!0;K=G=-1;C=[];N=I=J=A=!1;z=c;for(M=e.length;z<M;z++)if("controlWord"==e[z].type&&d[e[z].value])F.fontType=d[e[z].value];else if("controlWord"==e[z].type&&e[z].value.match(/^fs(\d+)/))F.fontSize=parseInt(e[z].value.match(/^fs(\d+)/)[1]/2);else if("controlWord"==e[z].type&&"b"==e[z].value)F.textBold="bold";else if("controlWord"==e[z].type&&
"b0"==e[z].value)F.textBold="";else if("controlWord"==e[z].type&&"i"==e[z].value)F.textItalic="italic";else if("controlWord"==e[z].type&&"i0"==e[z].value)F.textItalic="";else if("controlWord"==e[z].type&&"ul"==e[z].value)F.textUnderline=!0;else if("controlWord"==e[z].type&&"ulnone"==e[z].value)F.textUnderline=!1;else if("controlWord"==e[z].type&&"ol"==e[z].value)F.textOverline=!0;else if("controlWord"==e[z].type&&"olnone"==e[z].value)F.textOverline=!1;else if("controlWord"==e[z].type&&e[z].value.match(/^cf(\d+)/))F.textColor=
h[parseInt(e[z].value.substring(2))],0<C.length&&(C[C.length-1].style.textColor=F.textColor);else if("openBlock"==e[z].type)G=e[z].value,F=F.clone(),D.push(F),C.push(null);else if("closeBlock"==e[z].type)e[z].value==K&&(K=-1,q=!1,r=r.parent),D.pop(),F=D[D.length-1],C.pop();else if("controlWord"==e[z].type&&"par"==e[z].value){r.addChild(new a.RTFNode(this.evaluator,"","newLine",F.clone()));n=new a.RTFNode(this.evaluator,"","textLineBlock",F.clone());if("textBlock"!=r.nodeType)for(r=r.parent;"textBlock"!=
r.nodeType;)r=r.parent;r.addChild(n);r=n}else if("controlWord"==e[z].type&&"mjaformula"==e[z].value)A=!0,K=G,q=!0,n=new a.RTFNode(this.evaluator,"","formula",F.clone()),r.addChild(n),r=n,C[C.length-1]=n;else if("controlWord"==e[z].type&&("fraction"==e[z].value||"radicand"==e[z].value||"radical"==e[z].value||"what"==e[z].value||"sum"==e[z].value||"integral"==e[z].value||"limit"==e[z].value))L=C[C.length-2].style.clone(),n=new a.RTFNode(this.evaluator,"",e[z].value,L),C[C.length-2].addChild(n),C[C.length-
1]=n;else if("controlWord"==e[z].type&&"index"==e[z].value||"to"==e[z].value||"from"==e[z].value)L=C[C.length-2].style.clone(),L.fontSize=g(parseInt(L.fontSize-.2*L.fontSize),8),n=new a.RTFNode(this.evaluator,"",e[z].value,L),C[C.length-2].addChild(n),C[C.length-1]=n;else if("controlWord"==e[z].type&&("num"==e[z].value||"den"==e[z].value))L=C[C.length-2].style.clone(),L.fontSize=g(Math.round(L.fontSize-.1*L.fontSize),8),"num"==e[z].value?n=new a.RTFNode(this.evaluator,"","numerator",L):"den"==e[z].value&&
(n=new a.RTFNode(this.evaluator,"","denominator",L)),C[C.length-2].addChild(n),C[C.length-1]=n;else if("controlWord"==e[z].type&&("subix"==e[z].value||"supix"==e[z].value))L=C[C.length-2].style.clone(),L.fontSize=g(Math.floor(L.fontSize-L.fontSize/3),8),"subix"==e[z].value?n=new a.RTFNode(this.evaluator,"","subIndex",L):"supix"==e[z].value&&(n=new a.RTFNode(this.evaluator,"","superIndex",L)),n.originalStyle=C[C.length-2].style.clone(),C[C.length-2].addChild(n),C[C.length-1]=n;else if("controlWord"==
e[z].type&&("defparts"==e[z].value||"matrix"==e[z].value||"element"==e[z].value))L=C[C.length-2].style.clone(),n=new a.RTFNode(this.evaluator,"",e[z].value,L),C[C.length-2].addChild(n),C[C.length-1]=n,"defparts"==e[z].value?f=n:"matrix"==e[z].value&&(x=n);else if("controlWord"==e[z].type&&"parts"==e[z].value)E=!0;else if("text"==e[z].type&&E)f.parts=parseInt(e[z].value),E=!1;else if("controlWord"==e[z].type&&"rows"==e[z].value)y=!0;else if("text"==e[z].type&&y)x.rows=parseInt(e[z].value),y=!1;else if("controlWord"==
e[z].type&&"columns"==e[z].value)B=!0;else if("text"==e[z].type&&B)x.columns=parseInt(e[z].value),B=!1;else if("controlWord"==e[z].type&&"expr"==e[z].value)H=!1,m=!0;else if("controlWord"==e[z].type&&"decimals"==e[z].value)w=!0;else if("text"==e[z].type&&w)p.decimals=this.evaluator.parser.parse(e[z].value+""),w=!1;else if("controlWord"==e[z].type&&"fixed1"==e[z].value)p.fixed=!0;else if("controlWord"==e[z].type&&"fixed0"==e[z].value)p.fixed=!1;else if("controlWord"!=e[z].type||"component"!=e[z].value)if("controlWord"==
e[z].type&&"NumCtrl"==e[z].value)J=!0;else if("controlWord"==e[z].type&&"Space"==e[z].value)I=!0;else if("controlWord"==e[z].type&&"hyperlink"==e[z].value)N=!0;else if("text"==e[z].type&&N){textContent=e[z].value.split("|")[0];L=F.clone();n=new a.RTFNode(this.evaluator,textContent,"hyperlink",L);n.URL=e[z].value.split("|")[1];if("textLineBlock"!=r.nodeType)for(r=r.parent;"textLineBlock"!=r.nodeType;)r=r.parent;r.addChild(n);N=!1}else if("text"==e[z].type&&J)n=new a.RTFNode(this.evaluator,e[z].value,
"componentNumCtrl",F.clone()),r.addChild(n),J=!1;else if("text"==e[z].type&&I)n=new a.RTFNode(this.evaluator,e[z].value,"componentSpace",F.clone()),r.addChild(n),I=!1;else if("text"==e[z].type&&m)L=C[C.length-2].style.clone(),textContent=this.evaluator.parser.parse(e[z].value),n=new a.RTFNode(this.evaluator,textContent,"dynamicText",L),C[C.length-2].addChild(n),p=C[C.length-1]=n,m=!1;else if("text"==e[z].type&&!m&&!q){textContent=e[z].value;n=new a.RTFNode(this.evaluator,textContent,"text",F.clone());
if("textLineBlock"!=r.nodeType)for(r=r.parent;"textLineBlock"!=r.nodeType;)r=r.parent;r.addChild(n)}else if("text"==e[z].type&&!m&&q)textContent=e[z].value,n=new a.RTFNode(this.evaluator,textContent,"text",C[C.length-1].style.clone()),C[C.length-1].addChild(n);else if("("==e[z].type||")"==e[z].type)L=C[C.length-1].style.clone(),L.textItalic="",n=new a.RTFNode(this.evaluator,e[z].type,"mathSymbol",L),C[C.length-1].addChild(n);else if("+"==e[z].type||"-"==e[z].type||"*"==e[z].type||"="==e[z].type)n=
new a.RTFNode(this.evaluator,e[z].type,"mathSymbol",C[C.length-1].style.clone()),C[C.length-1].addChild(n);if(null!=r){var W=r.getRoot();W.stableWidth=H;W.getTextMetrics();W.hasFormula=A}return W};a.FontStyle=function(a,b,c,d,e,f,k){this.fontSize=a;this.fontType=b;this.textItalic=c;this.textBold=d;this.textUnderline=e;this.textOverline=f;this.textColor=k};a.FontStyle.prototype.toString=function(){/arial/i.test(this.fontType)?this.fontType=a.sansserif_font:/times/i.test(this.fontType)?this.fontType=
a.serif_font:/courier/i.test(this.fontType)&&(this.fontType=a.monospace_font);return(this.textBold+" "+this.textItalic+" "+this.fontSize+"px "+this.fontType).trim()};a.FontStyle.prototype.toCSS=function(a){var b="";a||(b="font-size:"+this.fontSize+"px; line-height:"+this.fontSize+"px; font-family:"+this.fontType+";",this.textUnderline&&!this.textOverline&&(b+="text-decoration:underline;"),!this.textUnderline&&this.textOverline&&(b+="text-decoration:overline;"),this.textUnderline&&this.textOverline&&
(b+="text-decoration:underline overline;"),this.textBold&&!this.textItalic&&(b+="font-style:normal; font-weight:bold;"),!this.textBold&&this.textItalic&&(b+="font-style:italic; font-weight:normal;"),this.textBold&&this.textItalic&&(b+="font-style:italic; font-weight:bold;"),this.textBold||this.textItalic||(b+="font-style:normal; font-weight:normal;"));this.textColor&&(b+="color:"+this.textColor+";");return b};a.FontStyle.prototype.clone=function(){return new a.FontStyle(this.fontSize,this.fontType,
this.textItalic,this.textBold,this.textUnderline,this.textOverline,this.textColor)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d,l,c,h,k,b,v,u,n;a.Space=function(b,c){this.parent=b;e=this.evaluator=this.parent.evaluator;d=e.parser;this.id="";this.values=c;this.type="R2";this.xExpr=d.parse("0");this.yExpr=d.parse("0");this.w=parseInt(b.container.width);this.h=parseInt(b.container.height);this.drawif=d.parse("1");this.fixed=2==b.version;this.scale=48;this.Oy=this.Ox=
0;this.image=new Image;this.image.onload=function(){this.ready=1};this.imageSrc="";this.bg_display="topleft";this.background=new a.Color(/DescartesJS.class/i.test(b.code)||b.arquimedes?"f0f8fa":"ffffff");this.net=2!=b.version?new a.Color("c0c0c0"):"";this.net10=2!=b.version?new a.Color("808080"):"";this.axes=2!=b.version?new a.Color("808080"):"";this.text=new a.Color("ffafaf");this.numbers=!1;this.y_axis=this.x_axis=2!=b.version?"":" ";this.sensitive_to_mouse_movements=!1;this.cID="";this.mouse_y=
this.mouse_x=0;this.ctrs=[];this.graphicsCtr=[];this.graphics=[];this.backGraphics=[];this.zIndex=b.zIndex;this.plecaHeight=b.plecaHeight||0;this.displaceRegionNorth=b.displaceRegionNorth||0;this.displaceRegionWest=b.displaceRegionWest||0;for(var k in c)c.hasOwnProperty(k)&&(this[k]=c[k]);this.init()};a.Space.prototype.init=function(){g=this.parent;e=this.evaluator;l=this.id;this.displaceRegionNorth=g.displaceRegionNorth||0;this.displaceRegionSouth=g.displaceRegionSouth||0;this.displaceRegionEast=
g.displaceRegionEast||0;this.displaceRegionWest=g.displaceRegionWest||0;b=parseInt(g.container.width);k=parseInt(g.container.height);void 0!=this.wExpr&&(this.w=parseInt(b-this.displaceRegionWest-this.displaceRegionEast)*parseFloat(this.wExpr)/100);void 0!=this.hExpr&&(this.h=parseInt(k-this.displaceRegionNorth-this.displaceRegionSouth)*parseFloat(this.hExpr)/100);void 0!=this.xPercentExpr&&(this.xExpr=e.parser.parse((parseInt(b-this.displaceRegionWest-this.displaceRegionEast)*parseFloat(this.xPercentExpr)/
100).toString()));void 0!=this.yPercentExpr&&(this.yExpr=e.parser.parse((parseInt(k-this.displaceRegionNorth-this.displaceRegionSouth)*parseFloat(this.yPercentExpr)/100).toString()));this.x=e.eval(this.xExpr)+this.displaceRegionWest;this.y=e.eval(this.yExpr)+this.plecaHeight+this.displaceRegionNorth;this.container&&(this.container.style.left=this.x+"px",this.container.style.top=this.y+"px");0<=this.y?(c=k-this.y,this.h>c&&(this.h=c)):(c=this.h+this.y,this.h=c>=k?k:c);0<=this.x?(h=b-this.x,this.w>
h&&(this.w=h)):(h=this.w+this.x,this.w=h>=b?b:h);""==this.imageSrc&&/vacio.gif$/i.test(this.imageSrc.trim())||(this.image=g.getImage(this.imageSrc));this.OxExpr&&(u=this.OxExpr,"%"===u[u.length-1]?this.Ox=this.w*parseFloat(u)/100:(v=parseFloat(u),v!=u&&(v=0),this.Ox=v));this.OyExpr&&(n=this.OyExpr,"%"===n[n.length-1]?this.Oy=this.h*parseFloat(n)/100:(v=parseFloat(n),v!=n&&(v=0),this.Oy=v));""!==this.id&&2!==g.version?(e.setVariable(l+"._w",this.w),e.setVariable(l+"._h",this.h),e.setVariable(l+".escala",
this.scale),e.setVariable(l+".Ox",this.Ox),e.setVariable(l+".Oy",this.Oy),e.setVariable(l+".mouse_x",0),e.setVariable(l+".mouse_y",0),e.setVariable(l+".mouse_pressed",0),e.setVariable(l+".mouse_clicked",0),e.setVariable(l+".clic_izquierdo",0)):(v=e.getVariable("_w"),void 0===v&&(v=this.w),e.setVariable("_w",v),v=e.getVariable("_h"),void 0===v&&(v=this.h),e.setVariable("_h",v),v=e.getVariable("escala"),void 0===v&&(v=this.scale),e.setVariable("escala",v),v=e.getVariable("Ox"),void 0===v&&(v=this.Ox),
e.setVariable("Ox",v),v=e.getVariable("Oy"),void 0===v&&(v=this.Oy),e.setVariable("Oy",v),e.setVariable("mouse_x",0),e.setVariable("mouse_y",0),e.setVariable("mouse_pressed",0),e.setVariable("mouse_clicked",0),e.setVariable("clic_izquierdo",0),2==g.version&&""===this.x_axis&&""===this.y_axis&&(this.axes=""));this.w_2=this.w/2;this.h_2=this.h/2};a.Space.prototype.addCtr=function(a){"graphic"===a.type?this.graphicsCtr.push(a):this.ctrs.push(a)};a.Space.prototype.addGraph=function(a,b){"R2"===this.type&&
b||"R3"===this.type&&!b||(a.background&&"R3"!==this.type?this.backGraphics.push(a):this.graphics.push(a))};a.Space.prototype.clearClick=function(){this.evaluator.setVariable(this.mclickedString,0);this.evaluator.setVariable(this.mclicizquierdoString,0)};a.Space.prototype.getRelativeX=function(a){return(parseInt(a)-this.w_2-this.Ox)/this.scale};a.Space.prototype.getRelativeY=function(a){return(-parseInt(a)+this.h_2+this.Oy)/this.scale};a.Space.prototype.getAbsoluteX=function(a){return a*this.scale+
this.w_2+this.Ox};a.Space.prototype.getAbsoluteY=function(a){return-a*this.scale+this.h_2+this.Oy};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.SpaceExternal=function(a){g=this;g.parent=a;g.width=228;g.vSpace=25;g.container=document.createElement("div");g.container.setAttribute("style","box-sizing:border-box;border-style:ridge;border-width:5px;border-color:gray;box-shadow:#000 0 0 25px 5px;overflow-y:scroll;overflow-x:hidden;position:fixed;left:0;top:0;z-index:10000;width:"+
(g.width+27)+"px;height:460px;background-color:#63b4fb");g.movable=document.createElement("div");g.movable.setAttribute("style"," position:absolute;left:0;top:0;width:"+(g.width+27)+"px;height:"+g.vSpace+"px;line-height:"+g.vSpace+"px;background-color:#ddd;cursor:move;padding-left:75px;font-family:Sans-Serif;font-size:18px;");g.movable.innerHTML="Descartes";g.container.appendChild(g.movable);g.ctrs=[]};a.SpaceExternal.prototype.init=function(){function e(c){g.newPos=a.getCursorPosition(c,document.body);
g.container.style.left=g.initialPosition.x+(g.newPos.x-g.oldPos.x)*a.cssScale+"px";g.container.style.top=g.initialPosition.y+(g.newPos.y-g.oldPos.y)*a.cssScale+"px"}function d(a){a.preventDefault();document.body.removeEventListener("mousemove",e);document.body.removeEventListener("mouseup",d)}document.body.appendChild(this.container);g=this;for(var l=g.parent.evaluator.parser,c=0,h=g.ctrs.length;c<h;c++)g.ctrs[c].expresion=l.parse("(0,"+(g.vSpace+23+35*c)+","+g.width+",35)"),g.ctrs[c].update();g.numCtr=
h;c=new a.Button(g.parent,{region:"external",name:"english"==g.language?"about":"cr\u00e9ditos",font_size:l.parse("15"),expresion:l.parse("(0,"+g.vSpace+","+g.width/2+",25)")});c.actionExec={execute:a.showAbout};c.update();(new a.Button(g.parent,{region:"external",name:"config",font_size:l.parse("15"),action:"config",expresion:l.parse("("+g.width/2+","+g.vSpace+","+g.width/2+",25)")})).update();(new a.Button(g.parent,{region:"external",name:"english"==g.language?"init":"inicio",font_size:l.parse("15"),
action:"init",expresion:l.parse("(0,"+(g.vSpace+23+35*h)+","+g.width/2+",25)")})).update();(new a.Button(g.parent,{region:"external",name:"english"==g.language?"clear":"limpiar",font_size:l.parse("15"),action:"clear",expresion:l.parse("("+g.width/2+","+(g.vSpace+23+35*h)+","+g.width/2+",25)")})).update();l=new a.Button(g.parent,{region:"external",name:"english"==g.language?"close":"cerrar",font_size:l.parse("15"),expresion:l.parse("("+g.width/4+","+(g.vSpace+46+35*h)+","+g.width/2+",25)")});l.update();
l.canvas.addEventListener("click",function(a){g.hide()});g.setPositionAndSize();g.movable.addEventListener("mousedown",function(c){c.preventDefault();g.oldPos=a.getCursorPosition(c,document.body);g.initialPosition={x:g.container.offsetLeft,y:g.container.offsetTop};document.body.addEventListener("mousemove",e);document.body.addEventListener("mouseup",d)});g.hide()};a.SpaceExternal.prototype.addCtr=function(a){this.ctrs.push(a)};a.SpaceExternal.prototype.show=function(){this.setPositionAndSize();this.container.style.display=
"block"};a.SpaceExternal.prototype.hide=function(){this.container.style.display="none"};a.SpaceExternal.prototype.setPositionAndSize=function(){g=this;var a=g.vSpace+46+35*g.numCtr+25+10;g.container.style.left=Math.max(parseInt(window.innerWidth-g.width)/2,0)+"px";g.container.style.top="5px";g.container.style.height=window.innerHeight<g.vSpace+75?g.vSpace+75+"px":a>window.innerHeight-10?window.innerHeight-10:a+"px"};return a}(descartesJS||{}),descartesJS=function(a){var g,e;if(a.loadLib)return a;
var d=Math.floor,l=Math.round,c=2*Math.PI,h=a.convertFont("SansSerif,PLAIN,12"),k=a.convertFont("Monospaced,PLAIN,12"),b,v,u,n,r,p,x,f,q,m,w,y,B,E,D,F,H,G,K,C,A,J,I,N,z,M,L,O;a.Space2D=function(c,d){a.Space.call(this,c,d);b=this;b.ratio=c.ratio;b.canvas=document.createElement("canvas");b.canvas.setAttribute("id",b.id+"_canvas");b.canvas.setAttribute("class","DescartesSpace2DCanvas");b.backCanvas=document.createElement("canvas");b.backCanvas.setAttribute("id",b.id+"_background");b.canvas.style.zIndex=
b.zIndex;b.canvas.width=b.backCanvas.width=b.w*b.ratio;b.canvas.height=b.backCanvas.height=b.h*b.ratio;b.canvas.style.width=b.backCanvas.style.width=b.w+"px";b.canvas.style.height=b.backCanvas.style.height=b.h+"px";b.ctx=b.canvas.getContext("2d");b.backCtx=b.backCanvas.getContext("2d");b.ctx.imageSmoothingEnabled=b.backCtx.imageSmoothingEnabled=!1;b.graphicControlContainer=document.createElement("div");b.graphicControlContainer.setAttribute("id",b.id+"_graphicControls");b.graphicControlContainer.setAttribute("style",
"position:absolute;left:0;top:0;z-index:"+b.zIndex+";");b.numericalControlContainer=document.createElement("div");b.numericalControlContainer.setAttribute("id",b.id+"_numericalControls");b.numericalControlContainer.setAttribute("style","position:absolute;left:0;top:0;z-index:"+b.zIndex+";");b.container=document.createElement("div");b.container.setAttribute("id",b.id);b.container.setAttribute("class","DescartesSpace2DContainer");b.container.setAttribute("style","left:"+b.x+"px;top:"+b.y+"px;z-index:"+
b.zIndex+";");b.parent.arquimedes&&"#f0f8fa"===b.background.getColor()&&(b.container.style.border="1px solid #b8c4c8");b.container.appendChild(b.backCanvas);b.container.appendChild(b.canvas);b.container.appendChild(b.graphicControlContainer);b.container.appendChild(b.numericalControlContainer);c.container.insertBefore(b.container,c.loader);b.parent.images[b.id+".image"]=b.canvas;b.parent.images[b.id+".image"].ready=1;b.parent.images[b.id+".image"].complete=!0;b.parent.images[b.id+".image"].canvas=
!0;b.evaluator.setVariable(b.id+".image",b.id+".image");b.parent.images[b.id+".back"]=b.backCanvas;b.parent.images[b.id+".back"].ready=1;b.parent.images[b.id+".back"].complete=!0;b.parent.images[b.id+".back"].canvas=!0;b.evaluator.setVariable(b.id+".back",b.id+".back");var e=""!==b.id&&2!==c.version?b.id+".":"";b.OxStr=e+"Ox";b.OyStr=e+"Oy";b.scaleStr=e+"escala";b.wStr=e+"_w";b.hStr=e+"_h";b.mxStr=e+"mouse_x";b.myStr=e+"mouse_y";b.mpressedStr=e+"mouse_pressed";b.mclickedStr=e+"mouse_clicked";b.mclickIzqStr=
e+"clic_izquierdo";b.click=0;"descartesJS_stage"!==b.id?b.addEvents():b.canvas.oncontextmenu=function(a){return!1}};a.extend(a.Space2D,a.Space);a.Space2D.prototype.init=function(){b=this;b.uber.init.call(b);b.canvas&&(b.canvas.width=b.backCanvas.width=b.w*b.ratio,b.canvas.height=b.backCanvas.height=b.h*b.ratio,b.canvas.style.width=b.backCanvas.style.width=b.w+"px",b.canvas.style.height=b.backCanvas.style.height=b.h+"px")};a.Space2D.prototype.update=function(a){b=this;v=b.evaluator;u=b.parent;v.setVariable(b.wStr,
b.w);v.setVariable(b.hStr,b.h);b.drawIfValue=0<v.eval(b.drawif);if(b.drawIfValue){r=b.x!==v.eval(b.xExpr)+b.displaceRegionWest;p=b.y!==v.eval(b.yExpr)+u.plecaHeight+b.displaceRegionNorth;b.spaceChange=a||r||p||b.drawBefore!==b.drawIfValue||b.Ox!==v.getVariable(b.OxStr)||b.Oy!==v.getVariable(b.OyStr)||b.scale!==v.getVariable(b.scaleStr)||b.backColor!==b.background.getColor();b.x=r?v.eval(b.xExpr)+b.displaceRegionWest:b.x;b.y=p?v.eval(b.yExpr)+u.plecaHeight+b.displaceRegionNorth:b.y;b.Ox=v.getVariable(b.OxStr);
b.Oy=v.getVariable(b.OyStr);b.scale=v.getVariable(b.scaleStr);b.drawBefore=b.drawIfValue;b.scale=Math.max(1E-6,Math.min(1E6,b.scale));v.setVariable(b.scaleStr,b.scale);if(r||p)b.container.style.left=b.x+"px",b.container.style.top=b.y+"px";b.container.style.display="block";b.drawTrace=!b.spaceChange&&(!b.fixed&&!b.click||b.fixed);b.spaceChange&&(b.backCtx.setTransform(b.ratio,0,0,b.ratio,0,0),b.drawBackground());b.ctx.setTransform(b.ratio,0,0,b.ratio,0,0);b.draw()}else b.container.style.display="none"};
a.Space2D.prototype.drawBackground=function(){b=this;v=b.evaluator;n=b.backCtx;n.clearRect(0,0,b.backCanvas.width,b.backCanvas.height);b.backColor=b.background.getColor();n.fillStyle=b.backColor;n.fillRect(0,0,b.backCanvas.width,b.backCanvas.height);b.image&&""!=b.image.src&&b.image.ready&&b.image.complete&&("topleft"===b.bg_display?n.drawImage(b.image,0,0):"stretch"===b.bg_display?n.drawImage(b.image,0,0,b.w,b.h):"patch"===b.bg_display?(n.fillStyle=n.createPattern(b.image,"repeat"),n.fillRect(0,
0,b.w,b.h)):"imgcenter"===b.bg_display&&n.drawImage(b.image,(b.w-b.image.width)/2,(b.h-b.image.height)/2));f=b.scale;q=0;for(m=0>b.w+b.h?0:b.w+b.h;f>m;)f/=10,q++;for(;f<m/10;)f*=10;n.lineWidth=1;""!==b.net&&(n.strokeStyle=b.net.getColor(),b.drawMarks(n,f/10,-1));if(2!==b.parent.version&&""!==b.net10||2===b.parent.version&&""!==b.net&&""!==b.net10)n.strokeStyle=b.net10.getColor(),b.drawMarks(n,f,-1);if(""!==b.axes){n.strokeStyle=b.axes.getColor();n.beginPath();if(""!==b.x_axis||2!==b.parent.version)n.moveTo(0,
d(b.h/2+b.Oy)+.5),n.lineTo(b.w,d(b.h/2+b.Oy)+.5);if(""!==b.y_axis||2!==b.parent.version)n.moveTo(d(b.w/2+b.Ox)+.5,0),n.lineTo(d(b.w/2+b.Ox)+.5,b.h);n.stroke();b.drawMarks(n,f,4);b.drawMarks(n,f/2,2);b.drawMarks(n,f/10,1)}if(""!==b.x_axis||""!==b.y_axis)n.fillStyle=""!==b.axes?b.axes.getColor():"#000",n.font=h,n.textAlign="right",n.textBaseline="alphabetic",n.fillText(b.x_axis,d(b.w)-2,d(b.h/2+b.Oy)+12),n.fillText(b.y_axis,d(b.w/2+b.Ox)-2,12);b.numbers&&""!=b.axes&&(n.fillStyle=b.axes.getColor(),n.font=
h,n.textAlign="start",n.textBaseline="bottom",f>(b.w+b.h)/2?b.drawNumbers(n,f/5,f<=b.scale?q+1:q):f>(b.w+b.h)/4?b.drawNumbers(n,f/2,f<=b.scale?q+1:q):b.drawNumbers(n,f,q));for(var a=0,c=b.backGraphics.length;a<c;a++)b.backGraphics[a].draw()};a.Space2D.prototype.draw=function(){b=this;n=b.ctx;n.clearRect(0,0,b.canvas.width,b.canvas.height);for(var a=0,e=b.graphics.length;a<e;a++)x=b.graphics[a],""!==x.trace&&b.drawTrace&&x.drawTrace(),x.draw();a=0;for(e=b.graphicsCtr.length;a<e;a++)b.graphicsCtr[a].draw();
""!=b.text&&b.click&&"L"===b.whichBtn&&(n.fillStyle=b.text.getColor(),n.strokeStyle=n.fillStyle,n.lineWidth=1,n.font=k,n.textAlign="center",n.textBaseline="alphabetic",A=1>=b.scale?b.mouse_x.toFixed(0):b.mouse_x.toFixed(b.scale.toString().length),J=1>=b.scale?b.mouse_y.toFixed(0):b.mouse_y.toFixed(b.scale.toString().length),I="("+A+","+J+")",N=d(n.measureText(I).width/2),z=b.getAbsoluteX(b.mouse_x),M=b.getAbsoluteY(b.mouse_y),L=d(z),O=d(M-10),L+N>b.w?L=b.w-N:0>L-N&&(L=N),O+1>b.h?O=b.h:0>O-14&&(O=
15),n.fillText(I,L,O),n.beginPath(),n.arc(z,M,2.5,0,c,!0),n.stroke())};a.Space2D.prototype.drawMarks=function(a,b,c){w=this.w;y=this.h;H=0;G=w;K=0;C=y;D=d(w/2+this.Ox);F=d(y/2+this.Oy);0<=c&&(H=D-c,G=D+c,K=F-c,C=F+c);a.beginPath();for(c=-l(D/b);(B=D+l(c*b))<w;c++)a.moveTo(B+.5,K+.5),a.lineTo(B+.5,C+.5);for(c=-l(F/b);(E=F+l(c*b))<y;c++)a.moveTo(H+.5,E+.5),a.lineTo(G+.5,E+.5);a.stroke()};a.Space2D.prototype.drawNumbers=function(a,b,c){w=this.w;y=this.h;D=d(w/2+this.Ox);F=d(y/2+this.Oy);for(c=-l(D/b);(B=
D+l(c*b))<w;c++)a.fillText(parseFloat((c*b/this.scale).toFixed(4)),B+1,F-2);for(c=-l(F/b);(E=F+l(c*b))<y;c++)0!==parseFloat(-c*b/this.scale)&&a.fillText(parseFloat((-c*b/this.scale).toFixed(4)),D+5,E+5)};a.Space2D.prototype.addEvents=function(){function b(a){window.focus();if(h.evaluator.variables[h.id+".DESCARTESJS_no_fixed"]||!h.fixed||h.sensitive_to_mouse_movements)h.click=0,h.evaluator.setVariable(h.mpressedStr,0),h.evaluator.setVariable(h.mclickedStr,1),h.evaluator.setVariable(h.mclickIzqStr,
1),window.removeEventListener("touchmove",k),window.removeEventListener("touchend",b),a.stopPropagation(),a.preventDefault(),h.parent.update()}function c(b){window.focus();b.stopPropagation();b.preventDefault();h.click=0;h.evaluator.setVariable(h.mpressedStr,0);h.evaluator.setVariable(h.mclickedStr,1);h.evaluator.setVariable(h.mclickIzqStr,1);"R"===h.whichBtn&&(window.removeEventListener("mousemove",f),h.posZoom==h.posZoomNew&&a.showConfig&&(h.parent.externalSpace.show(),h.posZoom=!1,h.posZoomNew=
!0));window.removeEventListener("mousemove",k);window.removeEventListener("mouseup",c);h.parent.deactivateGraphiControls();h.parent.update()}function d(b){h.posAnte=a.getCursorPosition(b,h.container);h.mouse_x=h.getRelativeX(h.posAnte.x);h.mouse_y=h.getRelativeY(h.posAnte.y);h.evaluator.setVariable(h.mxStr,h.mouse_x);h.evaluator.setVariable(h.myStr,h.mouse_y);h.evaluator.setVariable(h.mclickedStr,0);h.evaluator.setVariable(h.mclickIzqStr,0);h.parent.update()}function f(b){b.preventDefault();h.posZoomNew=
a.getCursorPosition(b,h.container).y;h.evaluator.setVariable(h.scaleStr,h.tempScale+h.tempScale/45*((h.posZoom-h.posZoomNew)/10));h.parent.update()}function k(b){b.preventDefault();b.stopPropagation();h.fixed||(h.posNext=a.getCursorPosition(b,h.container),g=(h.posAnte.x-h.posNext.x).toFixed(8),e=(h.posAnte.y-h.posNext.y).toFixed(8),h.evaluator.setVariable(h.OxStr,h.Ox-g),h.evaluator.setVariable(h.OyStr,h.Oy-e));d(b)}var h=this;h.posZoom=null;h.posZoomNew=null;h.canvas.oncontextmenu=function(a){return!1};
this.sensitive_to_mouse_movements&&this.canvas.addEventListener("touchmove",d);this.canvas.addEventListener("touchstart",function(a){window.focus();if(h.evaluator.variables[h.id+".DESCARTESJS_no_fixed"]||!h.fixed||h.sensitive_to_mouse_movements)h.parent.clearClick(),h.click=1,h.evaluator.setVariable(h.mpressedStr,1),h.evaluator.setVariable(h.mclickedStr,0),h.evaluator.setVariable(h.mclickIzqStr,0),h.parent.deactivateGraphiControls(),d(a),window.addEventListener("touchmove",k),window.addEventListener("touchend",
b),a.stopPropagation(),a.preventDefault()});this.sensitive_to_mouse_movements&&this.canvas.addEventListener("mousemove",d);this.canvas.addEventListener("mousedown",function(b){window.focus();b.stopPropagation();b.preventDefault();h.parent.clearClick();h.click=1;h.parent.deactivateGraphiControls();h.whichBtn=a.whichBtn(b);"R"===h.whichBtn?(window.addEventListener("mouseup",c),h.posZoom=a.getCursorPosition(b,h.container).y,h.posZoomNew=h.posZoom,h.fixed||(h.tempScale=h.scale,window.addEventListener("mousemove",
f))):"L"===h.whichBtn&&(h.evaluator.setVariable(h.mpressedStr,1),h.evaluator.setVariable(h.mclickedStr,0),h.evaluator.setVariable(h.mclickIzqStr,0),d(b),window.addEventListener("mousemove",k),window.addEventListener("mouseup",c))});document.addEventListener("visibilitychange",function(a){c(a)})};return a}(descartesJS||{}),descartesJS=function(a){var g,e,d;function l(b,c){S=a.subtract3D(b,a.scalarProduct3D(c,a.dotProduct3D(b,c)));T=a.add3D(b,a.scalarProduct3D(S,-2));ca=a.norm3D(T);return 0!==ca?a.scalarProduct3D(T,
1/ca):a.scalarProduct3D(b,-1)}if(a.loadLib)return a;var c=Math.floor,h=Math.round,k=Math.max,b=Math.cos,v=Math.sin,u=Math.sqrt,n=15*Math.PI/180,r=Math.cos(n),p=Math.sin(n),x=Math.tan(n),f,q,m,w,y,B,E,D,F,H,G,K,C,A,J,I,N,z,M,L=[],O,Q,P,V,U,R,S,T,ca,W;a.Space3D=function(b,c){a.Space.call(this,b,c);m=this;m.backCanvas=document.createElement("canvas");m.backCanvas.setAttribute("id",m.id+"_background");m.backCanvas.setAttribute("width",m.w+"px");m.backCanvas.setAttribute("height",m.h+"px");m.canvas=document.createElement("canvas");
m.canvas.setAttribute("id",m.id+"_canvas");m.canvas.setAttribute("width",m.w+"px");m.canvas.setAttribute("height",m.h+"px");m.canvas.setAttribute("class","DescartesSpace3DCanvas");m.canvas.setAttribute("style","z-index: "+m.zIndex+";");m.ctx=m.canvas.getContext("2d");m.ctx.imageSmoothingEnabled=!1;m.parent.images[m.id+".image"]=m.canvas;m.parent.images[m.id+".image"].ready=1;m.parent.images[m.id+".image"].complete=!0;m.evaluator.setVariable(m.id+".image",m.id+".image");m.graphicControlContainer=document.createElement("div");
m.graphicControlContainer.setAttribute("id",m.id+"_graphicControls");m.graphicControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+m.zIndex+";");m.numericalControlContainer=document.createElement("div");m.numericalControlContainer.setAttribute("id",m.id+"_numericalControls");m.numericalControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+m.zIndex+";");m.container=document.createElement("div");m.container.setAttribute("id",
m.id);m.container.setAttribute("class","DescartesSpace3DContainer");m.container.setAttribute("style","left: "+m.x+"px; top: "+m.y+"px; z-index: "+m.zIndex+";");m.container.appendChild(m.backCanvas);m.container.appendChild(m.canvas);m.container.appendChild(m.graphicControlContainer);m.container.appendChild(m.numericalControlContainer);b.container.insertBefore(m.container,b.loader);m.eye={x:0,y:0,z:0};m.lights=[{x:50,y:50,z:70},{x:50,y:-50,z:30},{x:20,y:0,z:-80},{x:0,y:0,z:0}];for(var d=0,e=m.lights.length;d<
e;d++)m.lights[d]=a.normalize3D(m.lights[d]);m.light3={x:0,y:0,z:0};m.intensity=[.4,.5,.3,0];m.userIntensity=0;m.dim=1;m.tmpIntensity=[];m.OxStr=m.id+".Ox";m.OyStr=m.id+".Oy";m.scaleStr=m.id+".escala";m.wStr=m.id+"._w";m.hStr=m.id+"._h";m.obsStr=m.id+".observador";m.rotZStr=m.id+".rot.z";m.rotYStr=m.id+".rot.y";m.userIDimStr=m.id+".userIlum.dim";m.userIIStr=m.id+".userIlum.I";m.userIxStr=m.id+".userIlum.x";m.userIyStr=m.id+".userIlum.y";m.userIzStr=m.id+".userIlum.z";m.new3DStr=m.id+"._3Dnew_";m.xOStr=
m.id+".xO";m.yOStr=m.id+".yO";m.zOStr=m.id+".zO";m.AOStr=m.id+".AO";m.BOStr=m.id+".BO";m.COStr=m.id+".CO";m.zoomStr=m.id+".zoom";m.evaluator.setVariable(m.rotZStr,0);m.evaluator.setVariable(m.rotYStr,0);m.evaluator.setVariable(m.userIDimStr,m.dim);m.evaluator.setVariable(m.userIIStr,m.userIntensity);m.evaluator.setVariable(m.userIxStr,0);m.evaluator.setVariable(m.userIyStr,0);m.evaluator.setVariable(m.userIzStr,0);m.addEvents()};a.extend(a.Space3D,a.Space);a.Space3D.prototype.init=function(a){m=this;
m.uber.init.call(m);m.canvas&&(m.canvas.width=m.backCanvas.width=m.w,m.canvas.height=m.backCanvas.height=m.h,m.canvas.style.width=m.backCanvas.style.width=m.w+"px",m.canvas.style.height=m.backCanvas.style.height=m.h+"px");m.w_2=m.w/2;m.h_2=m.h/2;m.w_plus_h=m.w+m.h;m.oldMouse={x:0,y:0}};a.Space3D.prototype.update=function(a){m=this;f=m.evaluator;q=m.parent;m.new3D=0<f.getVariable(m.new3DStr);f.setVariable(m.wStr,m.w);f.setVariable(m.hStr,m.h);m.drawIfValue=0<f.eval(m.drawif);if(m.drawIfValue){B=m.x!==
f.eval(m.xExpr)+m.displaceRegionWest;E=m.y!==f.eval(m.yExpr)+q.plecaHeight+m.displaceRegionNorth;m.spaceChange=a||B||E||m.drawBefore!==m.drawIfValue||m.Ox!==f.getVariable(m.OxStr)||m.Oy!==f.getVariable(m.OyStr)||m.scale!==f.getVariable(m.scaleStr);m.x=B?f.eval(m.xExpr)+m.displaceRegionWest:m.x;m.y=E?f.eval(m.yExpr)+q.plecaHeight+m.displaceRegionNorth:m.y;m.Ox=f.getVariable(m.OxStr);m.Oy=f.getVariable(m.OyStr);m.scale=f.getVariable(m.scaleStr);m.drawBefore=m.drawIfValue;if(a||void 0==m.observer){a=
0;for(var b=m.parent.controls.length;a<b;a++)m.parent.controls[a].id===m.obsStr&&(W=!0);m.observer=W?f.getVariable(m.obsStr)||2.5*m.w_plus_h:2.5*m.w_plus_h;m.observer=k(m.observer,.25*m.w_plus_h);f.setVariable(m.obsStr,m.observer)}m.new3D?(void 0==f.getVariable(m.xOStr)&&f.setVariable(m.xOStr,m.observer/m.scale*r),void 0==f.getVariable(m.yOStr)&&f.setVariable(m.yOStr,0),void 0==f.getVariable(m.zOStr)&&f.setVariable(m.zOStr,m.observer/m.scale*p),void 0==f.getVariable(m.AOStr)&&f.setVariable(m.AOStr,
0),void 0==f.getVariable(m.BOStr)&&f.setVariable(m.BOStr,345),void 0==f.getVariable(m.COStr)&&f.setVariable(m.COStr,0),m.xO=f.getVariable(m.xOStr),m.yO=f.getVariable(m.yOStr),m.zO=f.getVariable(m.zOStr),m.AO=f.getVariable(m.AOStr),m.BO=f.getVariable(m.BOStr),m.CO=f.getVariable(m.COStr),m.zoom=f.getVariable(m.zoomStr),m.eye={x:parseFloat(f.getVariable(m.xOStr)),y:parseFloat(f.getVariable(m.yOStr)),z:parseFloat(f.getVariable(m.zOStr))}):(m.D=m.observer/3,m.eye={x:m.D/m.scale,y:0,z:m.D/m.scale*x},m.RX0=
m.Ox,m.RY0=m.Oy-m.D*x,m.bfactor=m.scale*m.eye.x,m.observer=k(f.getVariable(m.obsStr),.25*m.w_plus_h),m.observer!=f.getVariable(m.obsStr)&&(f.setVariable(m.obsStr,m.observer),m.parent.updateControls()));1E-6>m.scale?(m.scale=1E-6,f.setVariable(m.scaleStr,1E-6)):1E6<m.scale&&(m.scale=1E6,f.setVariable(m.scaleStr,1E6));if(B||E)m.container.style.left=m.x+"px",m.container.style.top=m.y+"px";m.container.style.display="block";m.dim=f.getVariable(m.userIDimStr);m.userIntensity=f.getVariable(m.userIIStr);
m.light3={x:parseInt(f.getVariable(m.userIxStr)),y:parseInt(f.getVariable(m.userIyStr)),z:parseInt(f.getVariable(m.userIzStr))};m.updateCamera();m.draw()}else m.container.style.display="none"};a.Space3D.prototype.updateCamera=function(){m=this;m.new3D?(m.D=m.scale*m.eye.x/r,m.XE=h(m.scale*m.eye.y+.5),m.YE=h(m.scale*m.eye.z+.5)):(m.D=m.observer/3,m.eye.x=m.D/m.scale,m.eye.y=0,m.eye.z=m.D/m.scale*x)};a.Space3D.prototype.rotateVertex=function(c){C=a.degToRad(m.evaluator.getVariable(m.rotZStr));A=b(C);
J=v(C);g=c.x*A-c.y*J;e=c.x*J+c.y*A;d=c.z;C=a.degToRad(m.evaluator.getVariable(m.rotYStr));A=b(C);J=v(C);return{x:d*J+g*A,y:e,z:d*A-g*J}};var ma,ia,X,Y,na,ja,da,Z,oa,ka,aa,ba,pa,qa,ra,sa,ta,ua,va,wa,xa,ea,fa,ga,ha,ya,za,la;a.Space3D.prototype.project=function(a){m=this;if(m.new3D){H=m.eye.x-a.x;G=m.eye.y-a.y;K=m.eye.z-a.z;var b=u(H*H+G*G+K*K);ma=m.AO%360;ia=ma*Math.PI/180;X=Math.cos(ia);Y=Math.sin(ia);na=m.BO%360;ja=na*Math.PI/180;da=Math.cos(ja);Z=Math.sin(ja);oa=m.CO%360;ka=oa*Math.PI/180;aa=Math.cos(ka);
ba=Math.sin(ka);pa=da*X;qa=-aa*da*Y-ba*Z;ra=-ba*da*Y+aa*Z;sa=Y;ta=aa*X;ua=ba*X;va=-Z*X;wa=aa*Z*Y-ba*X;xa=ba*Z*Y+aa*X;ea=-m.eye.x+a.x;fa=-m.eye.y+a.y;ga=-m.eye.z+a.z;ha=pa*ea+sa*fa+va*ga;ya=qa*ea+ta*fa+wa*ga;za=ra*ea+ua*fa+xa*ga;la=parseFloat(m.evaluator.getVariable(m.zoomStr));return{x:this.getAbsoluteX(-la*ya/ha),y:this.getAbsoluteY(-la*za/ha),z:0<ha?-b:b}}b=m.bfactor/(a.x-m.eye.x);return{x:this.w_2+m.RX0-b*(a.y-m.eye.y),y:this.h_2+m.RY0+b*(a.z-m.eye.z),z:m.eye.x-a.x}};a.Space3D.prototype.computeColor=
function(b,d,e){b.match("rgba")?b=a.RGBAToHexColor(b):b.match("#")&&(b=new a.Color(b.substring(1)));V=a.subtract3D(this.eye,d.average);U=a.norm3D(V);R=a.scalarProduct3D(V,1/U);this.lights[3]=a.subtract3D(this.light3,d.average);M=a.norm3D(this.lights[3]);for(var f=0,k=this.intensity.length-1;f<k;f++)L[f]=this.intensity[f]*this.dim;L[3]=this.userIntensity*this.userIntensity/M||0;O=e?this.dim/2:this.dim/4;Q=0;P=0<=d.direction?d.normal:a.scalarProduct3D(d.normal,-1);f=0;for(k=this.lights.length;f<k;f++)e?
(Q=Math.max(0,a.dotProduct3D(l(this.lights[f],P),R)),Q*=Q*Q):Q=Math.max(0,a.dotProduct3D(this.lights[f],P)),O+=L[f]*Q;O=Math.min(O,1);I=c(b.r*O);N=c(b.g*O);z=c(b.b*O);return"rgba("+I+","+N+","+z+","+b.a+")"};a.Space3D.prototype.draw=function(){this.ctx.clearRect(0,0,this.canvas.width,this.canvas.height);this.ctx.fillStyle=this.background.getColor();this.ctx.fillRect(0,0,this.canvas.width,this.canvas.height);this.image&&""!=this.image.src&&this.image.ready&&this.image.complete&&("topleft"===this.bg_display?
this.ctx.drawImage(this.image,0,0):"stretch"===this.bg_display?this.ctx.drawImage(this.image,0,0,this.w,this.h):"patch"===this.bg_display?(this.ctx.fillStyle=ctx.createPattern(this.image,"repeat"),this.ctx.fillRect(0,0,this.canvas.width,this.canvas.height)):"center"===this.bg_display&&this.ctx.drawImage(this.image,(this.w-this.image.width)/2,(this.h-this.image.height)/2));if(!this.click){for(var a=0,b=this.graphics.length;a<b;a++)this.graphics[a].update();this.primitives=[];a=0;for(b=this.graphics.length;a<
b;a++){w=this.graphics[a];if(w.split||this.split)for(var c=a+1;c<b;c++)y=this.graphics[c],(y.split||this.split)&&w.splitFace(y);this.primitives=this.primitives.concat(w.primitives||[])}}a=0;for(b=this.primitives.length;a<b;a++)this.primitives[a].computeDepth(this);this.primitives=this.primitives.sort(function(a,b){return b.depth-a.depth});if("painter"===this.render)this.drawPainter(this.primitives);else for(a=0,b=this.primitives.length;a<b;a++)this.primitives[a].passDraw&&this.primitives[a].draw(this.ctx,
this);a=0;for(b=this.graphicsCtr.length;a<b;a++)this.graphicsCtr[a].draw()};a.Space3D.prototype.drawPainter=function(a){for(var b=a.length,c=0;c<b;c++)a[c].drawn=!1,a[c].draw(this.ctx,this);for(var d=[],e=[],f=0,k=a.length,h=.001,g,m;;){g=k;for(c=0;c<b;c++)if(!a[c].drawn){m=!0;for(var l=0;l<b;l++)if(l!=c&&!a[l].drawn&&a[c].inFrontOf(d,a[l],h)){m=!1;break}m&&(k--,e[f++]=a[c],a[c].drawn=!0)}if(0==k)break;else if(k==g){if(h*=10,.1<h){for(c=0;c<b;c++)a[c].drawn||(e[f++]=a[c],a[c].drawn=!0);break}}else h=
.001}for(c=0;c<b;c++)e[c].draw(this.ctx,this)};a.Space3D.prototype.rayFromEye=function(a,b){return{x:-this.eye.x,y:(a-(this.w_2+this.Ox))/this.scale-this.eye.y,z:(this.h_2+this.Oy-b)/this.scale-this.eye.z}};a.Space3D.prototype.addEvents=function(){function b(a){document.body.focus();k.click=0;k.evaluator.setVariable(k.id+".mouse_pressed",0);window.removeEventListener("touchmove",f,!1);window.removeEventListener("touchend",b,!1);a.preventDefault()}function c(b){document.body.focus();k.click=0;k.evaluator.setVariable(k.id+
".mouse_pressed",0);b.preventDefault();"R"===k.whichBtn&&(window.removeEventListener("mousemove",e,!1),k.posZoom==k.posZoomNew&&a.showConfig&&k.parent.externalSpace.show());window.removeEventListener("mousemove",f,!1);window.removeEventListener("mouseup",c,!1);k.parent.update()}function d(b){k.posAnte=a.getCursorPosition(b,k.container);k.mouse_x=k.getRelativeX(k.posAnte.x);k.mouse_y=k.getRelativeY(k.posAnte.y);k.evaluator.setVariable(k.id+".mouse_x",k.mouse_x);k.evaluator.setVariable(k.id+".mouse_y",
k.mouse_y);70<Date.now()-g&&(k.parent.update(),g=Date.now())}function e(b){b.preventDefault();k.posZoomNew=a.getCursorPosition(b,k.container).y;k.evaluator.setVariable(k.scaleStr,k.tempScale+k.tempScale/45*((k.posZoom-k.posZoomNew)/10));k.posObserverNew=a.getCursorPosition(b,k.container).x;k.evaluator.setVariable(k.obsStr,k.tempObserver-2.5*(k.posObserver-k.posObserverNew));k.parent.update()}function f(b){if(!k.fixed&&k.click){D=parseInt(50*(k.oldMouse.x-k.mouse_x));F=parseInt(50*(k.oldMouse.y-k.mouse_y));
if(D!==k.disp.x||F!==k.disp.y)k.alpha=a.degToRad(k.evaluator.getVariable(k.rotZStr)),k.beta=a.degToRad(-k.evaluator.getVariable(k.rotYStr)),k.alpha=h(a.radToDeg(k.alpha)-D),k.beta=h(a.radToDeg(k.beta)-F),k.evaluator.setVariable(k.rotZStr,k.alpha),k.evaluator.setVariable(k.rotYStr,-k.beta),k.disp.x=D,k.disp.y=F,k.oldMouse.x=k.getRelativeX(k.posAnte.x),k.oldMouse.y=k.getRelativeY(k.posAnte.y);d(b);b.preventDefault()}}var k=this,g=0;this.canvas.oncontextmenu=function(){return!1};this.canvas.addEventListener("touchstart",
function(c){document.body.focus();k.click=1;k.evaluator.setVariable(k.id+".mouse_pressed",1);k.parent.deactivateGraphiControls();k.posAnte=a.getCursorPosition(c,k.container);k.oldMouse.x=k.getRelativeX(k.posAnte.x);k.oldMouse.y=k.getRelativeY(k.posAnte.y);d(c);window.addEventListener("touchmove",f);window.addEventListener("touchend",b);c.preventDefault()});this.canvas.addEventListener("mousedown",function(b){document.body.focus();k.click=1;k.parent.deactivateGraphiControls();k.whichBtn=a.whichBtn(b);
"R"===k.whichBtn?(window.addEventListener("mouseup",c),k.posObserver=a.getCursorPosition(b,k.container).x,k.posObserverNew=k.posObserver,k.posZoom=a.getCursorPosition(b,k.container).y,k.posZoomNew=k.posZoom,k.fixed||(k.tempScale=k.scale,k.tempObserver=k.observer,window.addEventListener("mousemove",e))):"L"==k.whichBtn&&(k.evaluator.setVariable(k.id+".mouse_pressed",1),k.posAnte=a.getCursorPosition(b,k.container),k.oldMouse.x=k.getRelativeX(k.posAnte.x),k.oldMouse.y=k.getRelativeY(k.posAnte.y),d(b),
window.addEventListener("mousemove",f),window.addEventListener("mouseup",c));b.preventDefault()});this.disp={x:0,y:0}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.SpaceAP=function(e,d){a.Space.call(this,e,d);this.eVars=this.iVars=null;g=e.evaluator;this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=g.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&this.file.match(/\'$/)?this.file=g.parser.parse(this.file):this.file=g.parser.parse("'"+
this.file+"'");this.oldFile=g.eval(this.file);this.initFile()};a.extend(a.SpaceAP,a.Space);a.SpaceAP.prototype.initFile=function(){this.firstUpdate=!0;var e;if(this.oldFile){var d=document.getElementById(this.oldFile);e=d&&"descartes/spaceApFile"==d.type?d.text:a.openExternalFile(this.oldFile);null!=e&&(e=e.split("\n"))}if(e&&e.toString().match(/<applet/gi)){for(var d="",g=!1,c=0,h=e.length;c<h&&(e[c].match("<applet")&&(g=!0),g&&(d+=e[c]),!e[c].match("</applet"));c++);e=document.createElement("div");
e.innerHTML=d;e.firstChild.setAttribute("width",this.w);e.firstChild.setAttribute("height",this.h);d=this.descApp?this.descApp.container:null;this.descApp=new a.DescartesApp(e.firstChild);this.descApp.container.setAttribute("class","DescartesAppContainer");this.descApp.container.setAttribute("style","position:absolute;overflow:hidden;background-color:"+this.background+";width:"+this.w+"px;height:"+this.h+"px;left:"+this.x+"px;top:"+this.y+"px;z-index:"+this.zIndex+";");d?this.parent.container.replaceChild(this.descApp.container,
d):this.parent.container.insertBefore(this.descApp.container,this.parent.loader);this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none";var k=this;this.descApp.update=function(){this.updateAuxiliaries();this.updateEvents();this.updateControls();this.updateSpaces();k.exportar()}}else d=this.descApp?this.descApp.container:null,this.descApp={},this.descApp.container=document.createElement("div"),this.descApp.container.setAttribute("class","DescartesAppContainer"),e="position:absolute;overflow:hidden;background-color:"+
this.background+";width:"+this.w+"px;height:"+this.h+"px;left:"+this.x+"px;top:"+this.y+"px;z-index:"+this.zIndex+";",this.image&&("topleft"==this.bg_display?e+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat;":"stretch"==this.bg_display?e+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat; background-size: 100% 100%;":"patch"==this.bg_display?e+="background-image: url("+this.imageSrc+");":"imgcenter"==this.bg_display&&(e+="background-image: url("+this.imageSrc+
"); background-repeat:no-repeat; background-position: center center;")),this.descApp.container.setAttribute("style",e),d?this.parent.container.replaceChild(this.descApp.container,d):this.parent.container.insertBefore(this.descApp.container,this.parent.loader),this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none"};a.SpaceAP.prototype.update=function(){var a=this.evaluator.eval(this.file);if(this.oldFile!=a)this.oldFile=a,this.initFile();else{var a=this.x!=this.evaluator.eval(this.xExpr),
d=this.y!=this.evaluator.eval(this.yExpr)+this.plecaHeight;this.x=a?this.evaluator.eval(this.xExpr):this.x;this.y=d?this.evaluator.eval(this.yExpr)+this.plecaHeight:this.y;a&&(this.descApp.container.style.left=this.x+"px");d&&(this.descApp.container.style.top=this.y+"px");this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none";if(this.firstUpdate&&(this.firstUpdate=!1,null==this.iVars)){this.iVars=[];for(var g in this.evaluator.variables)this.evaluator.variables.hasOwnProperty(g)&&
g.match(/^public./)&&this.iVars.push({varName:g,value:this.evaluator.getVariable(g)})}this.importar()}};a.SpaceAP.prototype.importar=function(){for(var a,d=!1,g=0,c=this.iVars.length;g<c;g++)a=this.evaluator.getVariable(this.iVars[g].varName),a!=this.iVars[g].value&&(this.iVars[g].value=a,this.descApp.evaluator.setVariable(this.iVars[g].varName,this.iVars[g].value),d=!0);d&&this.descApp.update()};a.SpaceAP.prototype.exportar=function(){};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g,e,d,l,c,h;a.SpaceHTML_IFrame=function(c,b){a.Space.call(this,c,b);g=this.parent.evaluator;if(void 0!=this._w_){var d=g.parser.parse(this._w_);this._w_="number"!=d.type?d:void 0}void 0!=this._h_&&(d=g.parser.parse(this._h_),this._h_="number"!=d.type?d:void 0);this.isFirefox=/firefox/i.test(window.navigator.userAgent);this.file=this.file?this.file.trim():"";this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=g.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&
this.file.match(/\'$/)?this.file=g.parser.parse(this.file):this.file=g.parser.parse("'"+this.file+"'");this.oldFile=g.eval(this.file);this.MyIFrame=document.createElement("iframe");0!=this.oldFile&&this.MyIFrame.setAttribute("src",this.oldFile);this.MyIFrame.setAttribute("marginheight",0);this.MyIFrame.setAttribute("marginwidth",0);this.MyIFrame.setAttribute("frameborder",0);this.MyIFrame.setAttribute("scrolling","auto");this.MyIFrame.setAttribute("style","position:static;left:0px;top:0px;");this.container=
document.createElement("div");this.container.setAttribute("id",this.id);this.container.setAttribute("style",(a.isIOS?"overflow:scroll;-webkit-overflow-scrolling:touch;overflow-scrolling:touch;":"")+"position:absolute; width:"+this.w+"px;height:"+this.h+"px;left:"+this.x+"px;top:"+this.y+"px;z-index:"+this.zIndex+";background-repeat:no-repeat;background-position:center;");this.container.appendChild(this.MyIFrame);this.imageSrc&&(this.container.style.backgroundImage="url("+this.imageSrc+")");this.parent.container.insertBefore(this.container,
this.parent.loader);var e=this;this.MyIFrame.onload=function(a){var b=this;e.evaluator.setFunction(e.id+".set",function(a,c){b.contentWindow.postMessage({type:"set",name:a,value:c},"*");return 0});e.evaluator.setFunction(e.id+".update",function(){b.contentWindow.postMessage({type:"update"},"*");return 0});e.evaluator.setFunction(e.id+".exec",function(a,c){b.contentWindow.postMessage({type:"exec",name:a,value:c},"*");return 0});e.ImReady=!e.isFirefox;e.isFirefox||(e.container.style.visibility="visible",
e.container.style.opacity="1",e.container.style.zIndex=e.zIndex,e.container.style.display=e.drawIfValue?"block":"none");e.MyIFrame.style.visibility="visible";e.container.style.backgroundImage=""};this.update=this.iframeUpdate;this.evaluator.setVariable(this.id+"._scroll",0)};a.extend(a.SpaceHTML_IFrame,a.Space);a.SpaceHTML_IFrame.prototype.init=function(){c=this;c.uber.init.call(c);c.MyIFrame&&(c.MyIFrame.style.width=c.w+"px",c.MyIFrame.style.height=c.h+"px",c.MyIFrame.style.left=c.x+"px",c.MyIFrame.style.top=
c.y+"px")};a.SpaceHTML_IFrame.prototype.iframeUpdate=function(a){g=this.evaluator;this.drawIfValue=0<g.eval(this.drawif);this.ImReady?this.container.style.display=this.drawIfValue?"block":"none":(this.container.style.visibility=this.drawIfValue?"visible":"hidden",this.container.style.opacity=this.drawIfValue?"1":"0",this.container.style.zIndex=this.drawIfValue?this.zIndex:-1E3);if(this.drawIfValue){this.MyIFrame.contentWindow.focus();a&&(this.y=this.x=Infinity);e=this.x!==g.eval(this.xExpr)+this.displaceRegionWest;
d=this.y!==g.eval(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth;this.x=e?g.eval(this.xExpr)+this.displaceRegionWest:this.x;this.y=d?g.eval(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth:this.y;void 0!=this._w_&&(a=g.eval(this._w_),this.w!==a&&(this.container.style.width=a+"px",this.MyIFrame.style.width=a+"px",this.w=a));void 0!=this._h_&&(a=g.eval(this._h_),this.h!==a&&(this.container.style.height=a+"px",this.MyIFrame.style.height=a+"px",this.h=a));if(e||d)this.container.style.left=
this.x+"px",this.container.style.top=this.y+"px";l=g.eval(this.file);l!==this.oldFile&&(this.ImReady=!1,this.isFirefox||(this.container.style.display="block",this.container.style.visibility=this.drawIfValue?"visible":"hidden",this.container.style.opacity=this.drawIfValue?"1":"0",this.container.style.zIndex=this.drawIfValue?this.zIndex:-1E3),this.imageSrc&&(this.container.style.backgroundImage="url("+this.imageSrc+")"),this.MyIFrame.style.visibility="hidden",this.oldFile=l,this.MyIFrame.contentWindow.location.replace(l));
h=g.getVariable(this.id+"._scroll");1==h?(this.MyIFrame.setAttribute("scrolling","yes"),this.MyIFrame.style.overflow=""):-1==h?(this.MyIFrame.setAttribute("scrolling","no"),this.MyIFrame.style.overflow="hidden"):(this.MyIFrame.setAttribute("scrolling","auto"),this.MyIFrame.style.overflow="")}else this.MyIFrame.contentWindow.blur()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,e,d;a.DescartesLoader=function(c){var d=this;this.children=c.children;this.lessonParser=
c.lessonParser;this.images=c.images;this.images.length=c.images.length;this.audios=c.audios;this.audios.length=c.audios.length;this.descartesApp=c;var e=c.imgLoader?c.imgLoader:l(c.loader.width,c.loader.height,c.ratio);this.imageLoader=document.createElement("div");this.imageLoader.width=c.width;this.imageLoader.height=c.height;this.imageLoader.setAttribute("class","DescartesLoaderImage");this.imageLoader.setAttribute("style","background-image:url("+e+");background-size:cover;width:"+c.width+"px;height:"+
c.height+"px;");c.loader.appendChild(this.imageLoader);this.loaderBar=document.createElement("canvas");this.loaderBar.width=c.width;this.loaderBar.height=c.height;this.loaderBar.setAttribute("class","DescartesLoaderBar");this.loaderBar.setAttribute("style","width:"+c.width+"px;height:"+c.height+"px;");this.loaderBar.ctx=this.loaderBar.getContext("2d");c.loader.appendChild(this.loaderBar);this.barWidth=80;this.barHeight=Math.floor(c.loader.height/70);this.timer=a.setInterval(function(){d.drawLoaderBar(d.loaderBar.ctx,
c.width,c.height)},10);c.firstRun=!1;this.initPreloader()};a.DescartesLoader.prototype.initPreloader=function(){var c=this.children,d=this.images,e=this.audios,b=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,g=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav)/gi;d["lib/DescartesCCLicense.png"]=a.getCCLImg();d["lib/DescartesCCLicense.png"].addEventListener("load",function(){this.ready=1});d["lib/DescartesCCLicense.png"].addEventListener("error",function(){this.errorload=1});var l,n,r,p,x,f;r=0;for(x=c.length;r<x;r++)if("rtf"!==
c[r].name){if(c[r].value.match(/'macro'|'makro'/g)){p="";var q;l=this.lessonParser.split(c[r].value);n=0;for(f=l.length;n<f;n++)"expresion"===babel[l[n][0]]&&(p=l[n][1]);p&&((q=document.getElementById(p))&&"descartes/macro"==q.type?q=q.text:(q=a.openExternalFile(p))&&!q.match(/tipo_de_macro/g)&&(q=null));if(q&&(l=q.match(b)))for(p=0,f=l.length;p<f;p++)n=l[p],n.toLowerCase().match(/vacio.gif$/)||""==n.substring(0,n.length-4)||(d[n]=new Image,d[n].addEventListener("load",function(){this.ready=1}),d[n].addEventListener("error",
function(){this.errorload=1}),d[n].src=n)}if(l=c[r].value.match(b))for(p=0,f=l.length;p<f;p++)n=l[p],n.toLowerCase().match(/vacio.gif$/)||""==n.substring(0,n.length-4)||(d[n]=new Image,d[n].addEventListener("load",function(){this.ready=1}),d[n].addEventListener("error",function(){this.errorload=1}),d[n].src=n);if(l=c[r].value.match(g))for(p=0,n=l.length;p<n;p++)this.initAudio(l[p])}for(var m in d)d.hasOwnProperty(m)&&this.images.length++;for(m in e)e.hasOwnProperty(m)&&this.audios.length++;var w=
this,y=this.images.length+this.audios.length;this.sep=2*(this.barWidth-2)/y;var B=function(){w.readys=0;for(var b in d)d.hasOwnProperty(b)&&(d[b].ready||d[b].errorload)&&w.readys++;for(b in w.audios)e.hasOwnProperty(b)&&(e[b].ready||e[b].errorload)&&w.readys++;w.readys!=y?a.setTimeout(B,30):(a.clearInterval(w.timer),w.descartesApp.initBuildApp())};B()};a.DescartesLoader.prototype.initAudio=function(c){var d=this.audios;d[c]=new Audio(c);d[c].filename=c;var e=function(){this.ready=1},b=function(){this.canPlayType("audio/"+
this.filename.substring(this.filename.length-3))||"mp3"!=this.filename.substring(this.filename.length-3)?(console.log("El archivo '"+c+"' no puede ser reproducido"),this.errorload=1):(d[c]=new Audio(this.filename.replace("mp3","ogg")),d[c].filename=this.filename.replace("mp3","ogg"),d[c].addEventListener("canplaythrough",e),d[c].addEventListener("load",e),d[c].addEventListener("error",b),d[c].load())};d[c].addEventListener("canplaythrough",e);d[c].addEventListener("load",e);d[c].addEventListener("error",
b);a.hasTouchSupport?(d[c].load(),d[c].play(),a.setTimeout(function(){d[c].pause()},20),d[c].ready=1):d[c].load()};a.DescartesLoader.prototype.drawLoaderBar=function(a,h,k){e=this.barWidth;d=this.barHeight;a.translate(h/2,(k-65*g)/2+90*g);a.scale(g,g);a.strokeRect(-e,-d,2*e,d);a.fillStyle="#888";a.fillRect(-e+2,-d+2,2*(e-2),d-4);a.fillStyle="#1f358d";a.fillRect(-e+2,-d+2,this.readys*this.sep,d-4);a.setTransform(1,0,0,1,0,0)};var l=function(a,d,e){var b=document.createElement("canvas");e=5E6<a*this.ratio*
d*this.ratio?1:e;b.width=a*e;b.height=d*e;b.style.width=a+"px";b.style.height=d+"px";var l=b.getContext("2d");l.save();l.setTransform(e,0,0,e,0,0);l.strokeStyle=l.fillStyle="#1f358d";l.lineCap="round";l.lineWidth=2;l.beginPath();g=a<d?a/360:d/195;g=2.5<g?2.5:g;l.translate((a-120*g)/2,(d-65*g)/2);l.scale(g,g);l.moveTo(3,25);l.lineTo(3,1);l.lineTo(21,1);l.bezierCurveTo(33,1,41,15,41,25);l.stroke();l.beginPath();l.moveTo(1,63);l.lineTo(1,64);l.moveTo(5,62);l.lineTo(5,64);l.moveTo(9,61);l.lineTo(9,64);
l.moveTo(13,60);l.lineTo(13,64);l.moveTo(17,58);l.lineTo(17,64);l.moveTo(21,56);l.lineTo(21,64);l.moveTo(25,53);l.lineTo(25,64);l.moveTo(29,50);l.lineTo(29,64);l.moveTo(33,46);l.lineTo(33,64);l.moveTo(37,41);l.lineTo(37,64);l.moveTo(41,32);l.lineTo(41,64);l.stroke();l.font="20px descartesJS_sansserif, Arial, Helvetica, Sans-serif";l.fillText("escartes",45,33);l.fillText("JS",98,64);l.restore();return b.toDataURL()};return a}(descartesJS||{}),descartesJS=function(a){function g(a){for(var b="[",c=0,
e=a.length;c<e;c++)a[c]instanceof Array?b+=g(a[c]):(d=a[c],"undefined"!=typeof d&&d||(d=0),"string"==typeof d&&(d="'"+d+"'"),b+=d),c<e-1&&(b+=",");return b+"]"}function e(){l=window.innerWidth/this.width;c=window.innerHeight/this.height;h=Math.min(l,c);a.cssScale=h.toFixed(3);this.container.parentNode.setAttribute("align","");this.container.style.transformOrigin="0 0";l<c?(this.container.style.left="",this.container.style.transform="perspective(1px) scale("+h+") translate3d(0, 0, 0)"):(this.container.style.left=
"50%",this.container.style.transform="perspective(1px) scale("+h+") translate3d(-50%, 0, 0)")}if(a.loadLib)return a;a.DescartesApp=function(c){this.animation={playing:!1,stop:function(){}};this.ratio=a._ratio;this.applet=c;this.parentC=c.parentNode;this.width=parseFloat(c.getAttribute("width"));this.height=parseFloat(c.getAttribute("height"));this.decimal_symbol=".";this.decimal_symbol_regexp=new RegExp("\\"+this.decimal_symbol,"g");this.language="espa\u00f1ol";this.children=c.getElementsByTagName("param");
a.ccLicense=!0;for(var b=0,d=this.children.length;b<d;b++)"CreativeCommonsLicense"===this.children[b].name&&(a.ccLicense="no"===this.children[b].value?!1:!0);this.code=c.getAttribute("code");this.saveState=[];this.images={};this.images.length=-1;this.audios={};this.audios.length=-1;this.firstRun=!0;this.scaleToFit=function(){};this.init()};a.DescartesApp.prototype.init=function(){this.stop();this.evaluator=new a.Evaluator(this);this.lessonParser=new a.LessonParser(this);this.arquimedes=/DescartesWeb2_0|Arquimedes|Discurso/i.test(this.code);
this.licenseA=a.ccLicense?"{\\rtf1\\uc0{\\fonttbl\\f0\\fcharset0 Arial;\\f1\\fcharset0 Arial;\\f2\\fcharset0 Arial;\\f3\\fcharset0 Arial;\\f4\\fcharset0 Arial;}{\\f0\\fs34 __________________________________________________________________________________\\par \\fs22                                        Los contenidos de esta unidad did\u00e1ctica interactiva est\u00e1n bajo una {\\*\\hyperlink licencia Creative Commons|http://creativecommons.org/licenses/by-nc-sa/4.0/}, si no se indica lo contrario.\\par                                        La unidad did\u00e1ctica fue creada con Arqu\u00edmedes, que es un producto de c\u00f3digo abierto, {\\*\\hyperlink Creditos|http://arquimedes.matem.unam.mx/Descartes5/creditos/conCCL.html}\\par }":
"";for(var c=this.children,b,d=0,g=0,h=a.ccLicense?90:0,l=0,p=c.length;l<p;l++)b=c[l],"rtf_height"==b.name&&(d=parseInt(b.value)||this.height),"Buttons"==babel[b.name]&&(this.buttonsConfig=this.lessonParser.parseButtonsConfig(b.value),g=this.buttonsConfig.height),"image_loader"==b.name&&(this.imgLoader=b.value),"expand"==b.name&&("cover"==b.value?this.expand=b.value:"fit"==b.value&&(this.scaleToFit=e)),"docBase"==b.name&&(this.docBase=b.value,b=document.createElement("base"),b.setAttribute("id","descartesJS_base"),
b.setAttribute("href",this.docBase),document.head.appendChild(b));this.expand&&"cover"==this.expand&&(this.width=window.innerWidth,this.height=window.innerHeight);this.arquimedes&&(this.ratio=1,d&&(this.height=d+g+h));this.spaces=[];this.externalSpace&&document.body.removeChild(this.externalSpace.container);this.externalSpace=new a.SpaceExternal(this);this.northSpace={container:document.createElement("div"),controls:[]};this.southSpace={container:document.createElement("div"),controls:[]};this.eastSpace=
{container:document.createElement("div"),controls:[]};this.westSpace={container:document.createElement("div"),controls:[]};this.editableRegion={container:document.createElement("div"),textFields:[]};a.Editor&&(this.editor=new a.Editor(this));this.controls=[];this.auxiliaries=[];this.events=[];this.nIframes=this.plecaHeight=this.tabindex=this.zIndex=0;void 0!=this.container&&this.parentC.removeChild(this.container);this.container=document.createElement("div");this.loader=document.createElement("div");
this.parentC.appendChild(this.container);this.container.width=this.width;this.container.height=this.height;this.container.setAttribute("class","DescartesAppContainer");this.container.setAttribute("style","width:"+this.width+"px;height:"+this.height+"px;");this.scaleToFit();this.container.appendChild(this.loader);this.loader.width=this.width;this.loader.height=this.height;this.loader.setAttribute("class","DescartesLoader");this.loader.setAttribute("style","width:"+this.width+"px;height:"+this.height+
"px;z-index:1000;");this.imgLoader&&(this.loader.style.backgroundColor="rgba(0,0,0,0)");this.firstRun?this.descartesLoader=new a.DescartesLoader(this):this.initBuildApp()};a.DescartesApp.prototype.initBuildApp=function(){a.showConfig=!0;for(var c=this.children,b=this.lessonParser,d=[],e=[],g=[],h=[],l=[],x=[],f,q=0,m=c.length;q<m;q++)if(f=c[q],"editable"==babel[f.name]&&(a.showConfig="false"==babel[f.value]?!1:!0),"language"==babel[f.name]&&(this.language=f.value),"pleca"==f.name)f=b.parsePleca(f.value,
this.width),this.container.insertBefore(f,this.loader),this.plecaHeight=f.imageHeight?f.imageHeight:f.offsetHeight;else if("Buttons"==babel[f.name])this.buttonsConfig=b.parseButtonsConfig(f.value);else if("decimal_symbol"==babel[f.name])this.decimal_symbol=f.value,this.decimal_symbol_regexp=new RegExp("\\"+this.decimal_symbol,"g");else if("version"==babel[f.name])this.version=parseInt(f.value);else if("language"==babel[f.name])this.language=f.value;else if("rtf"==f.name){var w=(this.width-780)/2,
y=parseInt(this.height)-this.plecaHeight-this.buttonsConfig.height-45;h.push("space='descartesJS_stage' type='text' expresion='[10,20]' background='yes' text='"+f.value.replace(/'/g,"&squot;")+"'");h.push("space='descartesJS_stage' type='text' expresion='["+w+","+(y-25)+"]' background='yes' text='"+this.licenseA+"'");a.ccLicense&&h.push("space='descartesJS_stage' type='image' expresion='["+(w+15)+","+y+"]' background='yes' abs_coord='yes' file='lib/DescartesCCLicense.png'")}else if("E"==f.name.charAt(0))f.value.match(/'HTMLIFrame'/)&&
this.nIframes++,d.push(f.value);else if(/^C_/.test(f.name))e.push(f.value);else if(/^A_/.test(f.name))g.push(f.value);else if(/^G_/.test(f.name)){if(f.value.match("type='fill'")||f.value.match("tipo='relleno'")||f.value.match("tipus='ple'")||f.value.match("mota='betea'")||f.value.match("type='plein'")||f.value.match("tipo='recheo'")||f.value.match("tipo='curva_piena'")||f.value.match("tipo='preencher'")||f.value.match("tipus='ple'"))this.ratio=1;h.push(f.value)}else/^S_/.test(f.name)?l.push(f.value):
"Animation"==babel[f.name]&&x.push(f.value);this.stage={container:document.createElement("div"),scroll:0};this.stage.container.setAttribute("id","descartesJS_Stage");this.stage.stageSpace=this.lessonParser.parseSpace("tipo='R2' id='descartesJS_stage' fondo='blanco' x='0' y='0' fijo='yes' red='no' red10='no' ejes='no' text='no' ancho='"+this.width+"' alto='"+this.height+"'");this.stage.container.appendChild(this.stage.stageSpace.container);this.arquimedes&&(this.container.appendChild(this.stage.container),
this.spaces.push(this.stage.stageSpace));q=0;for(m=d.length;q<m;q++)c=b.parseSpace(d[q]),this.arquimedes&&this.stage.container.appendChild(c.container),this.spaces.push(c),this.zIndex++;q=0;for(m=h.length;q<m;q++)if(d=b.parseGraphic(h[q]))d.visible&&(this.editableRegionVisible=!0),d.space.addGraph(d);q=0;for(m=l.length;q<m;q++)(d=b.parse3DGraphic(l[q]))&&d.space.addGraph(d,!0);q=0;for(m=e.length;q<m;q++)this.controls.push(b.parseControl(e[q]));q=0;for(m=g.length;q<m;q++)b.parseAuxiliar(g[q]);q=0;
for(m=x.length;q<m;q++)this.animation=b.parseAnimation(x[q]);this.configRegions();this.updateAuxiliaries();this.updateAuxiliaries();q=0;for(m=this.controls.length;q<m;q++)this.controls[q].init();this.updateControls();this.updateSpaces(!0);var B=this;this.nIframes?a.setTimeout(function(){B.finishInit()},200*this.nIframes):this.finishInit()};a.DescartesApp.prototype.finishInit=function(){this.evaluator.setVariable("decimalSymbol",this.decimal_symbol);this.update();this.loader.style.display="none";window.parent!==
window&&(this.parentC.style.margin="0px",this.parentC.style.padding="0px",window.parent.postMessage({type:"reportSize",href:window.location.href,width:this.width,height:this.height},"*"),window.parent.postMessage({type:"ready",value:window.location.href},"*"),a.onResize());window.opener&&window.opener.postMessage({type:"isResizeNeeded",href:window.location.href},"*");this.externalSpace.init();if(this.arquimedes){var c=this.stage.stageSpace.container.style.left,b=this.stage.stageSpace.container.style.top,
d=document.createElement("div");d.setAttribute("style","position:relative;left:"+c+";top:"+b+";text-align:left;margin:0;padding:18px 0 0 18px;");c={ctrs:[],spaces:[]};d.appendChild(this.stage.stageSpace.backGraphics[0].text.toHTML(c));b=d.firstChild;this.stage.stageSpace.container.style.visibility="hidden";this.stage.stageSpace.container.style.display="none";this.stage.container.replaceChild(d,this.stage.stageSpace.container);this.stage.container.style.background="#fff";this.container.style.height=
"100%";this.stage.container.style.height="100%";this.container.style.overflow="visible";var e=document.createElement("div");e.setAttribute("style","margin:auto;width:100%;padding:0;padding-bottom:30px;text-align:center;");var g=document.createElement("div");g.setAttribute("style","position:relative;display:inline-block;");var h=document.createElement("a");h.setAttribute("href","https://creativecommons.org/licenses/by-nc-sa/4.0/deed.es");h.setAttribute("target","_blank");g.appendChild(h);var l=a.getCCLImg();
l.setAttribute("style","position:absolute;left:15px;padding-top:20px;");h.appendChild(l);h=document.createElement("div");h.setAttribute("style","display:inline-block;width:100%;text-align:left;");h.appendChild(this.stage.stageSpace.backGraphics[1].text.toHTML());g.appendChild(h);e.appendChild(g);d.appendChild(e);for(e=0;e<c.spaces.length;e++)g=c.spaces[e],g.value.container&&(d=document.getElementById(g.cID),h=g.value.container.style.border,h=""!=h?"border:"+h+";":"",g.value.container.setAttribute("style",
h),d.appendChild(g.value.container));for(e=0;e<c.ctrs.length;e++)if(g=c.ctrs[e],h=g.value.containerControl||g.value.container)d=document.getElementById(g.cID),h.setAttribute("style","width:"+g.value.w+"px;height:"+g.value.h+"px;"),d.appendChild(h);richTextEditor.adjustFormulaFontSize(b);richTextEditor.adjustHeight(b)}var x;try{x=new CustomEvent("descartesReady",{detail:""})}catch(f){x=document.createEvent("CustomEvent"),x.initCustomEvent("descartesReady",!1,!1,{cmd:""})}window.dispatchEvent(x)};a.DescartesApp.prototype.adjustSize=
function(){document.body.style.margin="0px";document.body.style.padding="0px";this.parentC.style.margin="0px";this.parentC.style.padding="0px";var c=parseInt(this.width)+30,b=parseInt(this.height)+90;window.moveTo((parseInt(screen.width)-c)/2,(parseInt(screen.height)-b)/2);window.resizeTo(c,b);a.onResize()};a.DescartesApp.prototype.adjustDimensions=function(){var a,b,c;if(void 0==this.init_w||void 0==this.init_h)this.init_w=parseInt(this.container.style.width),this.init_h=parseInt(this.container.style.height);
b=parseInt(this.parentC.offsetWidth);a=this.init_w;c=b/a;a>b?(this.parentC!=document.body&&(this.parentC.style.height=this.init_h*c+"px"),this.percent=c,this.container.style.webkitTransform=this.container.style.MozTransform="scale("+c+")",this.container.style.webkitTransformOrigin=this.container.style.MozTransformOrigin="top left"):(this.parentC!=document.body&&(this.parentC.style.height="auto"),this.percent=1,this.container.style.webkitTransform=this.container.style.MozTransform="",this.container.style.webkitTransformOrigin=
this.container.style.MozTransformOrigin="")};a.DescartesApp.prototype.configRegions=function(){var c=this.evaluator.parser,b=this.buttonsConfig,d=this.container,e="15",g=100,h=100,l=100,x=100;2==this.version&&(e="14",g=63,h=50,l=44,x=53);var f=0,q=0,m=0,w=0,y=0,B=0,E=0,D=0,F=0,E=this.northSpace.controls,D=this.southSpace.controls,H=this.eastSpace.controls,y=this.westSpace.controls;if(0<b.rowsNorth||0<E.length||b.about||b.config){0>=b.rowsNorth?(f=b.height,b.rowsNorth=1):f=b.height*b.rowsNorth;B=this.northSpace.container;
B.setAttribute("id","descartesJS_north");B.setAttribute("style","width:"+d.width+"px; height:"+f+"px; background:#c0c0c0; position:absolute; left:0px; top: "+this.plecaHeight+"px; z-index:100;");d.insertBefore(B,this.loader);var B=d.width,G=0;b.about?(G=g,B-=G):g=0;b.config&&(B-=h);for(var K=Math.ceil(E.length/b.rowsNorth),C=B/K,w=0,A=E.length;w<A;w++)E[w].expresion=c.parse("("+(G+w%K*C)+","+b.height*Math.floor(w/K)+","+C+","+b.height+")"),E[w].drawif=c.parse("1"),E[w].init();b.about&&(w=new a.Button(this,
{region:"north",name:"english"==this.language?"about":"cr\u00e9ditos",font_size:c.parse(e),expresion:c.parse("(0, 0, "+g+", "+f+")")}),w.actionExec={execute:a.showAbout},w.update());b.config&&(new a.Button(this,{region:"north",name:"config",font_size:c.parse(e),action:"config",expresion:c.parse("("+(B+g)+", 0, "+h+", "+f+")")})).update()}if(0<b.rowsSouth||0<D.length||b.init||b.clear){0>=b.rowsSouth?(q=b.height,b.rowsSouth=1):q=b.height*b.rowsSouth;E=d.width;G=0;b.init?(G=l,E-=G):l=0;b.clear&&(E-=
x);B=this.southSpace.container;B.setAttribute("id","descartesJS_south");B.setAttribute("style","width:"+d.width+"px; height:"+q+"px; background:#c0c0c0; position:absolute; left: 0px; top:"+(d.height-q)+"px; z-index:100;");d.insertBefore(B,this.loader);K=Math.ceil(D.length/b.rowsSouth);C=E/K;w=0;for(A=D.length;w<A;w++)D[w].expresion=c.parse("("+(G+w%K*C)+","+b.height*Math.floor(w/K)+","+C+","+b.height+")"),D[w].drawif=c.parse("1"),D[w].init();b.init&&(new a.Button(this,{region:"south",name:"english"==
this.language?"init":"inicio",font_size:c.parse(e),action:"init",expresion:c.parse("(0, 0, "+l+", "+q+")")})).update();b.clear&&(new a.Button(this,{region:"south",name:"english"==this.language?"clear":"limpiar",font_size:c.parse(e),action:"clear",expresion:c.parse("("+(E+l)+", 0, "+x+", "+q+")")})).update()}if(0<H.length)for(m=d.height-f-q,D=b.widthEast,B=this.eastSpace.container,B.setAttribute("id","descartesJS_east"),B.setAttribute("style","width:"+D+"px; height:"+m+"px; background:#c0c0c0; position:absolute; left:"+
(d.width-D)+"px; top:"+f+"px; z-index:100;"),d.insertBefore(B,this.loader),w=0,A=H.length;w<A;w++)H[w].expresion=c.parse("(0,"+b.height*w+","+D+","+b.height+")"),H[w].drawif=c.parse("1"),H[w].init();if(0<y.length)for(w=d.height-f-q,F=b.widthWest,B=this.westSpace.container,B.setAttribute("id","descartesJS_west"),B.setAttribute("style","width: "+F+"px; height: "+w+"px; background: #c0c0c0; position: absolute; left: 0px; top: "+f+"px; z-index: 100;"),d.insertBefore(B,this.loader),w=0,A=y.length;w<A;w++)y[w].expresion=
c.parse("(0,"+b.height*w+","+F+","+b.height+")"),y[w].drawif=c.parse("1"),y[w].init();if(this.editableRegionVisible)for(y=b.height,B=this.editableRegion.container,B.setAttribute("id","descartesJS_editableRegion"),B.setAttribute("style","width:"+d.width+"px; height:"+y+"px; position:absolute; left:0px; top:"+(d.height-q-b.height)+"px; z-index:100; background:#c0c0c0; overflow:hidden;"),d.insertBefore(B,this.loader),c=this.editableRegion.textFields,d=d.width/c.length,b=a.getFieldFontSize(y),w=0,A=c.length;w<
A;w++)"div"==c[w].type?(B.appendChild(c[w].container),c[w].container.setAttribute("style","font-family:descartesJS_sansserif,Arial,Sans-serif;width:"+(d-4)+"px;height:"+y+"px;position:absolute;left:"+w*d+"px;top:0;"),e=c[w].container.firstChild,e.setAttribute("style","font-family:descartesJS_sansserif,Arial,Sans-serif;font-size:"+b+"px;padding-top:0%;background-color:#e0e4e8;position:absolute;left:0;top:0;height:"+y+"px;text-align:center;line-height:"+y+"px;"),g=e.offsetWidth,e.style.width=g+"px",
e.firstChild.textContent=e.firstChild.textContent.substring(3,e.firstChild.textContent.length-3),c[w].container.lastChild.setAttribute("style","font-family:descartesJS_monospace,'Courier New',Monospace;font-size:"+b+"px;width:"+(d-g)+"px;height:"+y+"px;position:absolute;left:"+g+"px;top:0;border:2px groove white;")):(B.appendChild(c[w]),c[w].setAttribute("style","font-family:descartesJS_monospace,'Courier New',Monospace;font-size:"+b+"px;width:"+d+"px;height:"+y+"px;position:absolute;left:"+w*d+"px;top:0;border:2px groove white;"));
this.displaceRegionNorth=f;this.displaceRegionSouth=q;this.displaceRegionEast=m;this.displaceRegionWest=F;w=0;for(A=this.spaces.length;w<A;w++)this.spaces[w].init()};a.DescartesApp.prototype.update=function(){this.updateAuxiliaries();this.updateControls();this.updateEvents();this.updateControls();this.updateSpaces()};a.DescartesApp.prototype.clearClick=function(){for(var a=0,b=this.spaces.length;a<b;a++)this.spaces[a].clearClick()};a.DescartesApp.prototype.deactivateGraphiControls=function(){for(var a,
b=0,c=this.controls.length;b<c;b++)a=this.controls[b],"graphic"==a.type&&a.deactivate()};a.DescartesApp.prototype.updateAuxiliaries=function(){for(var a=0,b=this.auxiliaries.length;a<b;a++)this.auxiliaries[a].update()};a.DescartesApp.prototype.updateEvents=function(){for(var a=0,b=this.events.length;a<b;a++)this.events[a].update()};a.DescartesApp.prototype.updateControls=function(){for(var a=0,b=this.controls.length;a<b;a++)this.controls[a].update()};a.DescartesApp.prototype.updateSpaces=function(a){for(var b=
0,c=this.spaces.length;b<c;b++)this.spaces[b].update(a)};a.DescartesApp.prototype.clear=function(){for(var a=0,b=this.spaces.length;a<b;a++)this.spaces[a].spaceChange=!0,this.spaces[a].drawBackground&&this.spaces[a].drawBackground()};a.DescartesApp.prototype.play=function(){this.animation&&this.animation.play()};a.DescartesApp.prototype.stop=function(){this.animation&&this.animation.stop()};a.DescartesApp.prototype.reinitAnimation=function(){this.animation&&this.animation.reinit()};a.DescartesApp.prototype.stopAudios=
function(){this.stop();for(var a in this.audios)this.audios.hasOwnProperty(a)&&this.audios[a].pause&&(this.audios[a].pause(),this.audios[a].currentTime=0)};a.DescartesApp.prototype.getImage=function(a){var b=this.images;return a?(b[a]||(b[a]=new Image,b[a].addEventListener("load",function(){this.ready=1}),b[a].addEventListener("error",function(){this.ready=0;this.errorload=1}),b[a].src=a),b[a]):new Image};a.DescartesApp.prototype.getAudio=function(c){var b=this.audios;if(c){if(!b[c]){var d=c.lastIndexOf("."),
d=-1===d?c.lenght:d;c.substring(0,d);b[c]=new Audio(c);var e=function(a){this.ready=1};b[c].addEventListener("canplaythrough",e);var g=function(a){this.canPlayType("audio/"+c.substring(c.length-3))||"mp3"!=c.substring(c.length-3)?(console.log("El archivo '"+c+"' no puede ser reproducido"),this.errorload=1):(b[c]=new Audio(c.replace("mp3","ogg")),b[c].addEventListener("canplaythrough",e),b[c].addEventListener("load",e),b[c].addEventListener("error",g),b[c].load())};b[c].addEventListener("error",g);
b[c].play();a.setTimeout(function(){b[c].pause()},15)}return b[c]}return new Audio};a.DescartesApp.prototype.getControlByCId=function(a){for(var b,c=0,d=this.controls.length;c<d;c++)if(b=this.controls[c],b.cID==a)return b;return{update:function(){},w:0}};a.DescartesApp.prototype.getControlById=function(a){for(var b,c=0,d=this.controls.length;c<d;c++)if(b=this.controls[c],b.id==a)return b;return{update:function(){}}};a.DescartesApp.prototype.getSpaceByCId=function(a){for(var b,c=0,d=this.spaces.length;c<
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b?b+"\n"+d+"="+a:d+"="+a));var c=this.evaluator.vectors,e;for(e in c)c.hasOwnProperty(e)&&(a=c[e],b=b+"\n"+e+"="+g(a));e=this.evaluator.matrices;for(var h in e)e.hasOwnProperty(h)&&(a=e[h],b=b+"\n"+h+"="+g(a));return b};a.DescartesApp.prototype.setState=function(a,b){for(var c=a.split("\n"),d,e,g=0,h=c.length;g<h;g++)d=c[g].split("="),2<=d.length&&(e=eval(d[1]),-1!=d[1].indexOf("[[")?(this.evaluator.matrices[d[0]]=e,this.evaluator.matrices[d[0]].rows=e.length,this.evaluator.matrices[d[0]].cols=e[0].length):
-1!=d[1].indexOf("[")?(this.evaluator.vectors[d[0]]=e,this.evaluator.variables[d[0]+".long"]=e.length):this.evaluator.variables[d[0]]=e);b||this.update()};a.DescartesApp.prototype.getEvaluation=function(){for(var a=0,b=0,c="",d=0,e=this.controls.length;d<e;d++)"textfield"==this.controls[d].gui&&this.controls[d].evaluate&&(a++,b+=this.controls[d].ok,this.controls[d].value=""==this.controls[d].value?"''":this.controls[d].value,c+=" \\n "+this.controls[d].id+"="+this.controls[d].value+"|"+this.controls[d].ok);
return"questions="+a+" \\n correct="+b+" \\n wrong="+(a-b)+c};a.DescartesApp.prototype.showSolution=function(){for(var a=this.controls,b=0,c=a.length;b<c;b++)"textfield"==a[b].gui&&a[b].evaluate&&a[b].changeValue(a[b].getFirstAnswer());this.update()};a.DescartesApp.prototype.showAnswer=function(){for(var a=0,b=this.saveState.length;a<b;a++)this.evaluator.eval(this.saveState[a]);this.update()};var l,c,h;return a}(descartesJS||{}),descartesJS=function(a){function g(){var a=document.getElementById("StyleDescartesApps");
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