/*
 Joel Espinosa Longi
 j.longi@gmail.com
 https://github.com/jlongi/DescartesJS
 LGPL - http://www.gnu.org/licenses/lgpl.html
 2014-10-17
*/
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function(a){if(a.loadLib)return a;var e=document.head,g=document.createElement("meta");g.setAttribute("http-equiv","X-UA-Compatible");g.setAttribute("content","IE=edge,chrome=1");e.appendChild(g);g=document.createElement("meta");g.setAttribute("name","viewport");g.setAttribute("content","width=device-width, initial-scale=1.0, user-scalable=yes");e.appendChild(g);g=document.createElement("meta");g.setAttribute("name","apple-mobile-web-app-capable");g.setAttribute("content","yes");e.appendChild(g);
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overflow:hidden; left:0px; top:0px; }\ndiv.DescartesSpace2DContainer, div.DescartesSpace3DContainer{ position:absolute; overflow:hidden; line-height:0px; }\ncanvas.DescartesButton{ position:absolute; cursor:pointer; }\ndiv.DescartesButtonContainer{ position:absolute; background-repeat:no-repeat; }\ndiv.DescartesSpinnerContainer, div.DescartesTextFieldContainer, div.DescartesMenuContainer{ background:lightgray; position:absolute; overflow:hidden; }\ninput.DescartesSpinnerField, input.DescartesTextFieldField, input.DescartesMenuField, input.DescartesScrollbarField{ -webkit-box-sizing: border-box; -moz-box-sizing: border-box; box-sizing: border-box; font-family:descartesJS_sansserif,Arial,Helvetica,Sans-serif; padding:0px; border:solid #666 1px; position:absolute; top:0px; }\nlabel.DescartesSpinnerLabel, label.DescartesMenuLabel, label.DescartesScrollbarLabel, label.DescartesTextFieldLabel{ font-family:descartesJS_sansserif,Arial,Helvetica,Sans-serif; font-weight:normal; text-align:center; text-overflow:ellipsis; white-space:nowrap; overflow:hidden; background-color:#e0e4e8; position:absolute; left:0px; top:0px; }\ndiv.DescartesGraphicControl{ border-style:none; position:absolute; }\ndiv.DescartesTextAreaContainer{ position:absolute; overflow:hidden; background:#c0d0d8; }\nselect.DescartesMenuSelect{ font-family:descartesJS_sansserif,Arial,Helvetica,Sans-serif; padding-top:0px; text-align:center; text-overflow:ellipsis; white-space:nowrap; overflow:hidden; background-color:white; position:absolute; left:0px; top:0px; }\ndiv.DescartesScrollbarContainer{ background:#eee; overflow:hidden; position:absolute; }\ndiv.DescartesEditorContainer{ font-family:descartesJS_sansserif,Arial,Helvetica,Sans-serif; position:fixed; left:0px; top:0px; width:100%; height:100%; background-color:#2e2e2e; z-index:10001; }\ndiv.DescartesEditorTabContainer{ width:100%; height:100%; position:absolute; padding:0px;  }\n.DescartesTabs{ height: 37px; }\n.DescartesTabs > ul{ font-size:18px; list-style:none; padding:0 1px 1px; margin-left:4px; text-align:center; }\n.DescartesTabs > ul > li{ margin-right:1px; padding:8px 8px; float:left; color:#fff; -webkit-user-select:none; -moz-user-select:none; user-select:none; border-radius:7px 7px 0px 0px; background:#0C91EC; background:-moz-linear-gradient(top, #0C91EC 0%, #257AB6 100%); background:-webkit-gradient(linear, left top, left bottom, color-stop(0%,#0C91EC), color-stop(100%,#257AB6)); }\n.DescartesTabs > ul > li:hover{ background:#fff; background:-moz-linear-gradient(top, #FFFFFF 0%, #F3F3F3 10%, #F3F3F3 50%, #FFFFFF 100%); background:-webkit-gradient(linear, left top, left bottom, color-stop(0%,#FFFFFF), color-stop(10%,#F3F3F3), color-stop(50%,#F3F3F3), color-stop(100%,#FFFFFF)); cursor:pointer; color:#000; }\n.DescartesTabs > ul > li.tabActiveHeader{ background:#fff; background:-moz-linear-gradient(top, #FFFFFF 0%, #F3F3F3 10%, #F3F3F3 50%, #FFFFFF 100%); background:-webkit-gradient(linear, left top, left bottom, color-stop(0%,#FFFFFF), color-stop(10%,#F3F3F3), color-stop(50%,#F3F3F3), color-stop(100%,#FFFFFF)); cursor:pointer; color:#000; }\n.DescartesTabscontent{ position:absolute; left:5px; right:5px; top:55px; bottom:45px; overflow:y-scroll; padding:10px 10px 25px; background:#000; background:-moz-linear-gradient(top, #FFFFFF 0%, #FFFFFF 90%, #e4e9ed 100%); background:-webkit-gradient(linear, left top, left bottom, color-stop(0%,#FFFFFF), color-stop(90%,#FFFFFF), color-stop(100%,#e4e9ed)); margin:0px; color:#000; background-color:#000; }\ndiv.DescartesConfigPanel{ position:absolute; left:10px; right:10px; top:10px; bottom:10px; overflow:y-scroll; border:solid 1px #000; border-radius:5px; font-size:18px; padding:10px; line-height:1.5em; overflow:auto; }\ndiv.DescartesLeftPanelClass{ position:absolute; left:10px; top:10px; bottom:10px; width:200px; background-color:; border:1px solid black; overflow:auto; }\ndiv.DescartesLeftPanelClass li:nth-child(odd){ background-color:#6495ED; }\ndiv.DescartesLeftPanelClass li:nth-child(even){ background-color:#ED6495; }\ndiv.DescartesLeftPanelClass > div > ul{ list-style:none; background:#bbb; padding:5px; }\ndiv.DescartesLeftPanelClass > div > ul > li{ padding:5px; -webkit-user-select:none; -moz-user-select:none; user-select:none; cursor:pointer; white-space: nowrap; overflow: hidden; }\ndiv.DescartesRightPanelClass{ position:absolute; left:220px; right: 10px; top:10px; bottom:10px; background-color:; border:1px solid black; overflow:auto; }\ndiv.DescartesLabelAndElementContainer{ padding:4px 8px; margin:4px; display:inline-block; background-color:lightgray; border-radius:3px; }\ndiv.DescartesLabelAndElementContainer > select{ font-family:Monospace; font-size:18px; }\ndiv.DescartesLabelAndElementContainer > input{ font-family:Monospace; font-size:18px; }\ndiv.DescarteslistContainer{ font-family:Arial,Helvetica,Sans-serif; font-size:20px; position:absolute; left:5px; right:5px; top:45px; bottom:45px; border-radius:5px; background-color:#DDD; overflow:auto; }\ndiv.DescarteslistContainer > ul{ margin:5px; padding:5px; padding-bottom:15px; list-style:none; }\ndiv.DescarteslistContainer > ul > li{ padding:7px; margin:1px; }\ndiv.DescarteslistContainer li:nth-child(odd){ background-color:#BBB; }\ndiv.DescarteslistContainer li:nth-child(even){ background-color:#999; }\ndiv.DescartesExtraInfo{ padding: 12px; }\nspan.DescartesSpanName{ background-color:lightblue; margin:5px; }\nspan.DescartesSpanValue{ background-color:#333; color:white; margin:0px; padding:5px; border-radius:3px; line-height:1.75em; }\nspan.DescartesSpanValue br{ display: none; }\nspan.DescartesSpanValue * { display: inline }\ndiv.Descartes_param_name{ background-color:#669; color:#ee5; margin-bottom:10px; }\n.DescartesToolbarPlace{ -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box; text-align:center; border-radius:4px 4px 4px 4px;  position:absolute; left:5px; right:5px; top:0px; height:40px; min-width:290px; background: #ccc; padding:4px; }\n.DescartesButtonsPlace{ -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box; text-align:center; border-radius:4px 4px 4px 4px;  position:absolute; left:5px; right:5px; bottom:0px; height:40px; min-width:290px; background: #ccc; padding:4px; }\ndiv.DescartesAddPanel{ position:absolute; top:10px; left:10px; width:350px; background-color:white; }\ndiv.DescarteslistContainer li.DescartesElementSelected{ border:1px solid black; background-color:#D66; }\ninput.DescartesEditorButton{ cursor:pointer; width:110px; height:30px; padding:5px 25px; margin:0px 2px; background:#257AB6; border:1px solid #fff; border-radius:7px; box-shadow: inset 0px 1px 0px #3e9cbf, 0px 2px 0px 0px #205c73, 0px 4px 5px #999; color:#fff; font-size:1em; }\ninput.DescartesEditorButton:hover, input.DescartesEditorButton:focus{ background-color:#0C91EC; box-shadow:0 0 1px rgba(0,0,0, .75); }\n";
return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.sin,g=Math.floor,c=Math.random,d=Math.round,b=Math.abs,h=String.fromCharCode,l,f,k,r,m,s,q,u,n,v;a.Krypto=function(a){this.key=(a||0).toString()};a.Krypto.prototype.getKey=function(a){l=[];for(var c=0;256>c;c++)l[c]=h(this.alfanum(g(b(7.5*(e(1*c-a)+e(1.4*c+a)+e(.6*c-a)+e(2.2*c+a))))));return l.join("")};a.Krypto.prototype.encode=function(a){f=g(31*c());this.key=this.getKey(f);r=h(this.alfanum(f));return r+this.encripta(a)};
a.Krypto.prototype.decode=function(a){f=this.numalfa(a.charCodeAt(0));this.key=this.getKey(f);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;s=Array(3*a.length);for(var b=0,f=a.length;b<f;b++)n=256*g(a[b]+128)+d(255*c())+65536*d(255*c()),v=g((n<<this.shift(b))/256),s[3*b]=this.alfanum(v%32),s[3*b+1]=this.alfanum(v/32%
32),s[3*b+2]=this.alfanum(v/1024%32);return s};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;q=Array(a.length/3);for(var b=0,c=q.length;b<c;b++)v=this.numalfa(a[3*b])+32*this.numalfa(a[3*b+1])+1024*this.numalfa(a[3*b+2]),n=g(256*v>>this.shift(b)),u=g(n/256)%256-128,0>u&&(u+=256),q[b]=u;return q};a.Krypto.prototype.alfanum=function(a){a=g(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){r=Array(a.length);for(var b=0,c=a.length;b<c;b++)r[b]=a.charCodeAt(b);return r};a.Krypto.prototype.bytesToString=function(a){for(var b=0,c=a.length;b<c;b++)a[b]=h(a[b]);return a.join("")};a.Krypto.prototype.shift=function(a){k=this.key.charCodeAt(a%this.key.length);r=this.numalfa(k);m=g(r/2%8);0==m&&(m=4);return m};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;window.requestAnimationFrame=window.requestAnimationFrame||window.mozRequestAnimationFrame||window.webkitRequestAnimationFrame||window.msRequestAnimationFrame;window.cancelAnimationFrame=window.cancelAnimationFrame||window.mozCancelAnimationFrame;a.Animation=function(e,g){this.parent=e;var c=e.evaluator,d=c.parser,b=new a.Auxiliary(e);this.start=null;this.delay=g.delay?d.parse(g.delay):d.parse("60");this.loop=
g.loop?g.loop:!1;this.auto=void 0==g.auto?!0:g.auto;this.controls=g.controls;this.init=b.splitInstructions(d,g.init);this.doExpr=b.splitInstructions(d,g.doExpr);g.whileExpr&&(this.whileExpr=d.parse(g.whileExpr));var h=this,l,f,k=h.doExpr.length;this.animationExec=function(){for(f=0;f<k;f++)c.evalExpression(h.doExpr[f]);h.parent.update();h.playing&&(0<c.evalExpression(h.whileExpr)||h.loop)?(l=c.evalExpression(h.delay),window.requestAnimationFrame||(h.timer=setTimeout(h.animationExec,10>l?10:l))):(h.stop(),
h.parent.update())};this.playing=!1;this.auto&&this.play()};a.Animation.prototype.play=function(){var a=this;this.playing?this.stop():(this.reinit(),this.playing=!0,delay=this.parent.evaluator.evalExpression(this.delay),this.timer=window.requestAnimationFrame?requestAnimationFrame(function(g){a.step(g)}):setTimeout(this.animationExec,10>delay?10:delay))};a.Animation.prototype.stop=function(){this.playing=!1;window.requestAnimationFrame?window.cancelAnimationFrame(this.timer):clearInterval(this.timer)};
a.Animation.prototype.reinit=function(){for(var a=0,g=this.init.length;a<g;a++)this.parent.evaluator.evalExpression(this.init[a])};a.Animation.prototype.step=function(a){var g=this;null===g.start&&(g.start=a);delay=g.parent.evaluator.evalExpression(g.delay);delay=10>delay?10:delay;a-g.start>delay&&(g.animationExec(),g.start=null);g.playing&&(g.timer=requestAnimationFrame(function(a){g.step(a)}))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Action=function(a,g){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(e,g){a.Action.call(this,e,g);this.parameter=(g||"").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(e,g){a.Action.call(this,e,g);var c=this.evaluator,
d=c.parser;g=(g||"").replace(/&squot;/g,"'");g=g.replace(/;/g,"\\n");g=g.split("\\n")||[""];for(var b=[],h,l=0,f=g.length;l<f;l++)(h=d.parse(g[l],!0))&&b.push(h);f=b.length;this.execute=function(){for(l=0;l<f;l++)c.evalExpression(b[l])}};a.extend(a.Calculate,a.Action);return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.OpenURL=function(e,g){a.Action.call(this,e,g);this.parameter=g;this.target="_blank";var c=this.parameter.indexOf("target");-1!=c&&(this.target=this.parameter.substring(c),
this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,c-1));if("javascript"==this.parameter.substring(0,10)){this.parameter=new a.SimpleText(e,this.parameter.substring(11).replace(/&squot;/g,"'"));var d=this;this.actionExec=function(){eval(d.parameter.toString())}}else"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)}};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(e,g){a.Action.call(this,e,g);this.parameter=g;this.target="_blank";var c=this.parameter.indexOf("target");-1!=c&&(this.target=this.parameter.substring(c),this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,c-1));"_blank"!==this.target&&"_parent"!==this.target&&
"_self"!==this.target&&"_top"!==this.target?this.actionExec=function(){window.parent.postMessage({type:"changeTarget",name:this.target,value:this.parameter},"*")}:"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.About=function(e,g){a.Action.call(this,e,g);g||(this.urlAbout=window.location.href.substring(0,
window.location.href.lastIndexOf("/")+1)+g)};a.extend(a.About,a.Action);a.About.prototype.execute=function(){console.log("about");if(this.urlAbout)var a=window.open(this.urlAbout,"_blank","width=800px,height=600px,location=no,menubar=no,scrollbars=yes");else a=window.open("about:blank","_blank","width=800px,height=600px,location=no,menubar=no,scrollbars=yes"),a.document.write("<hmtl><head><title>Cr\u00e9ditos</title></head><body><h1>Aqu\u00ed van los cr\u00e9ditos</h1></body></html>")};return a}(descartesJS||
{}),descartesJS=function(a){if(a.loadLib)return a;a.Config=function(e,g){a.Action.call(this,e,g)};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(e,g){a.Action.call(this,e,g)};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(e,g){a.Action.call(this,e,g)};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(e,g){a.Action.call(this,e,g)};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(e,g){a.Action.call(this,e,g)};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 e=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav|\.OGG|\.OGA\.MP3|\.WAV)/g;
a.PlayAudio=function(g,c){a.Action.call(this,g,c);c&&c.match(e)?this.filenameExpr=this.evaluator.parser.parse("'"+c.match(e)+"'"):this.filenameExpr=this.evaluator.parser.parse(c)};a.extend(a.PlayAudio,a.Action);a.PlayAudio.prototype.execute=function(){var a=this.theAudio=this.parent.getAudio(this.evaluator.evalExpression(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,d){this.parent=
a;this.evaluator=this.parent.evaluator;this.expresion=this.id="";this.evaluate="onlyOnce";this.local="";for(var b in d)d.hasOwnProperty(b)&&(this[b]=d[b])};a.Auxiliary.prototype.firstRun=function(){};a.Auxiliary.prototype.update=function(){};var e,g;a.Auxiliary.prototype.splitInstructions=function(a,d){g=[];d=d?d.split(";"):[""];for(var b=0,h=d.length;b<h;b++)(e=a.parse(d[b],!0))&&g.push(e);return g};a.Auxiliary.prototype.getPrivateVariables=function(a,d){g=[];d=d?d.split(/;|,/):[""];for(var b=0,
h=d.length;b<h;b++)(e=a.parse(d[b],!0))&&g.push(e);b=0;for(h=g.length;b<h;b++)g[b]="asign"===g[b].type?g[b].childs[0].value:"identifier"===g[b].type?g[b].value:"";return g};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(e,
g){a.Auxiliary.call(this,e,g);var c=this.evaluator.parser;this.expresionString=this.expresion;(this.expresion=c.parse(this.expresionString))&&c.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"),g=document.createElement("label");g.appendChild(document.createTextNode("___"+this.id+"=___"));var c=document.createElement("input");
c.value=this.expresionString;c.disabled=!this.editable;a.appendChild(g);a.appendChild(c);var d=this,b=d.evaluator.parser;c.onkeydown=function(a){13==a.keyCode&&(d.expresion=b.parse(this.value),b.setVariable(d.id,d.expresion),d.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(e,g){a.Auxiliary.call(this,e,g);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.evalExpression(this.expresion))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c;a.Vector=function(c,b){e=c.evaluator;g=e.parser;this.size=g.parse("3");a.Auxiliary.call(this,c,b);this.expresion=this.expresion.split(";");this.parseFile=g.parse(this.file);this.update()};a.extend(a.Vector,a.Auxiliary);a.Vector.prototype.update=function(){var d=this.expresion;
e=this.evaluator;g=e.parser;this.oldFile=this.file;if(c=e.evalExpression(this.parseFile))this.file=c;var b;if(this.file){b=(vectorElement=document.getElementById(this.file))&&"descartes/vectorFile"==vectorElement.type?vectorElement.text:a.openExternalFile(this.file);if(null!=b){b=b.replace(/\r/g,"").split("\n");for(var h=[],l=0,f=b.length;l<f;l++)""!=b[l]&&h.push(b[l]);b=h}null==b||1==b.length&&""==b[0]?this.size=0:(d=b,this.size=null);null===this.size&&(this.size=g.parse(d.length+""))}b=[];l=0;for(f=
d.length;l<f;l++)(h=g.parse(d[l],!0))&&"asign"!=h.type&&(h=g.parse(this.id+"["+l+"]="+d[l],!0)),b.push(h);d=[];l=0;for(f=e.evalExpression(this.size);l<f;l++)d.push(0);e.vectors[this.id]=d;e.setVariable(this.id+".long",e.evalExpression(this.size));l=0;for(f=b.length;l<f;l++)e.evalExpression(b[l])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Matrix=function(e,g){var c=e.evaluator,d=c.parser;this.rows=d.parse("3");this.columns=d.parse("3");a.Auxiliary.call(this,e,g);this.expresion=
this.splitInstructions(d,this.expresion);var d=c.evalExpression(this.rows),b=c.evalExpression(this.columns),h=[];h.type="matrix";for(var l,f=0;f<b;f++){l=[];for(var k=0,r=d;k<r;k++)l.push(0);h[f]=l}c.matrices[this.id]=h;this.update()};a.extend(a.Matrix,a.Auxiliary);a.Matrix.prototype.update=function(){var a=this.evaluator,g=a.evalExpression(this.rows),c=a.evalExpression(this.columns);a.setVariable(this.id+".filas",g);a.setVariable(this.id+".columnas",c);var d=a.matrices[this.id];d.rows=g;d.cols=c;
g=0;for(c=this.expresion.length;g<c;g++)a.evalExpression(this.expresion[g])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Function=function(e,g){a.Auxiliary.call(this,e,g);var c=this.evaluator,d=c.parser,b=this.id.indexOf("(");this.name=this.id.substring(0,b);this.params=this.id.substring(b+1,this.id.indexOf(")"));this.domain=this.range?d.parse(this.range):d.parse("1");this.params=""==this.params?[]:this.params.split(",");this.numberOfParams=this.params.length;this.algorithm||
(this.whileExpr=this.doExpr=this.init="");this.parseExpressions(d);this.expresion=d.parse(this.expresion);var h=this;this.functionExec=function(){this.iterations=0;if(h.numberOfParams<=arguments.length){for(var b=[],f=0,d=h.privateVars.length;f<d;f++)b.push(c.getVariable(h.privateVars[f])),c.setVariable(h.privateVars[f],0);for(var e=[],f=0,d=h.params.length;f<d;f++)e[f]=c.getVariable(h.params[f])||0,c.setVariable(h.params[f],arguments[f]);f=0;for(d=h.init.length;f<d;f++)c.evalExpression(h.init[f]);
do{f=0;for(d=h.doExpr.length;f<d;f++)c.evalExpression(h.doExpr[f]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en la funci\u00f3n",this.id),0}while(0<c.evalExpression(h.whileExpr));var m=c.evalExpression(h.expresion);a.rangeOK=c.evalExpression(h.domain);f=0;for(d=h.params.length;f<d;f++)c.setVariable(h.params[f],e[f]);f=0;for(d=h.privateVars.length;f<d;f++)c.setVariable(h.privateVars[f],b[f]);return m}return 0};c.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(e,g){a.Auxiliary.call(this,e,g);var c=this.evaluator;this.parseExpressions(c.parser);this.algorithmExec=function(){for(var a=this.iterations=0,b=this.init.length;a<b;a++)c.evalExpression(this.init[a]);do{a=0;for(b=this.doExpr.length;a<b;a++)c.evalExpression(this.doExpr[a]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en el algoritmo",
this.id),0}while(0<c.evalExpression(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(e,g){a.Auxiliary.call(this,e,g);var c=this.evaluator;this.condition=c.parser.parse(this.condition);this.lastEvaluation=!1;this.action=this.parent.lessonParser.parseAction(this);"onlyOnce"==this.execution&&
(this.eventExec=function(){0<c.evalExpression(this.condition)&&!this.lastEvaluation&&(this.lastEvaluation=!0,this.action.execute())});"alternate"==this.execution&&(this.eventExec=function(){var a=0<c.evalExpression(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<
c.evalExpression(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 e,g,c,d,b;a.Graphic=function(b,c){this.parent=b;this.evaluator=b.evaluator;var f=this.evaluator.parser;this.spaceID="";this.background=!1;this.type="";this.drawif=f.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=f.parse("(0,0)");this.family="";this.family_interval=f.parse("[0,1]");this.family_steps=f.parse("8");this.editable=!1;this.font=5<=this.parent.version?"Monospaced,PLAIN,15":"Monospaced,PLAIN,12";this.fixed=!0;this.text="";this.decimals=f.parse("2");for(var d in c)c.hasOwnProperty(d)&&(this[d]=c[d]);this.space=this.getSpace();this.canvas=this.background?this.space.backgroundCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");
this.trace&&(this.traceCtx=this.space.backgroundCanvas.getContext("2d"));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,b,c=0,d=a.length;c<d;c++)if(b=a[c],b.id==this.spaceID)return b;return a[0]};a.Graphic.prototype.getFamilyValues=function(){e=this.evaluator;g=e.evalExpression(this.family_interval);this.familyInf=g[0][0];this.familySup=g[0][1];this.fSteps=
Math.round(e.evalExpression(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic.prototype.drawFamilyAux=function(a,b,f){e=this.evaluator;this.getFamilyValues();c=e.getVariable(this.family);if(0<=this.fSteps)for(var d=0,g=this.fSteps;d<=g;d++)e.setVariable(this.family,this.familyInf+d*this.family_sep),0<e.evalExpression(this.drawif)&&(this.update(),this.drawAux(a,b,f));e.setVariable("_Text_H_",0);e.setVariable(this.family,c)};a.Graphic.prototype.draw=
function(a,b){""!=this.family?this.drawFamilyAux(this.ctx,a,b):0<this.evaluator.evalExpression(this.drawif)&&(this.update(),this.drawAux(this.ctx,a,b))};a.Graphic.prototype.drawTrace=function(a,b){""!=this.family?this.drawFamilyAux(this.traceCtx,a,b):0<this.evaluator.evalExpression(this.drawif)&&(this.update(),this.drawAux(this.traceCtx,a,b))};a.Graphic.prototype.drawText=function(a,c,f,k,g,m,s,q,u,n,v){if("rtfNode"===c.type)a.fillStyle=g.getColor(),a.strokeStyle=g.getColor(),a.textBaseline="alphabetic",
c.draw(a,f,k+1,u,n,s,v,g.getColor());else for("simpleText"===c.type&&(c=c.toString(u,n).split("\\n")),f+=m.match("Arial")?-2:m.match("Times")?-2:0,e=this.evaluator,a.fillStyle=g.getColor(),a.font=m,a.textAlign=s,a.textBaseline=q,this.border&&(a.strokeStyle=this.border.getColor(),a.lineWidth=4),b=1.2*this.fontSize||0,g=0,m=c.length;g<m;g++)d=c[g],this.border&&(a.lineJoin="round",a.miterLimit=2,a.strokeText(d,f,k+b*g)),a.fillText(d,f,k+b*g)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
a.SimpleText=function(a,d){this.text=d=d.replace("&#x2013","\u2013").replace(/\&squot;/g,"'");this.textElements=[];this.textElementsMacros=[];this.parent=a;this.evaluator=a.evaluator;this.type="simpleText";for(var b="'",e=0,l=0,f=-1,k,g;e<d.length;)k=d.charAt(e),g=d.charAt(e-1),"["===k&&"\\"===g?(this.textElements.push(d.substring(l,e-1)+"["),this.textElementsMacros.push("'"+d.substring(l,e-1)+"['"),l=e+1):"]"===k&&"\\"===g?(this.textElements.push(d.substring(l,e-1)+"]"),this.textElementsMacros.push("'"+
d.substring(l,e-1)+"]'"),l=e+1):"["===k&&-1===f?(this.textElements.push(d.substring(l,e)),this.textElementsMacros.push("'"+d.substring(l,e)+"'"),l=e,f++):"["===k?f++:"]"===k&&0===f?(this.textElements.push(this.evaluator.parser.parse(d.substring(l,e+1))),this.textElementsMacros.push("["+d.substring(l,e+1)+"]"),l=e+1,f--):("]"==d.charAt(e)&&(f=0>f?f:f-1),b+=d.charAt(e)),e++;this.textElements.push(d.substring(l,e));this.textElementsMacros.push("'"+d.substring(l,e)+"'")};var e,g;a.SimpleText.prototype.toString=
function(c,d){e="";for(var b=0,h=this.textElements.length;b<h;b++)"string"===typeof this.textElements[b]?e+=this.textElements[b]:(g=this.evaluator.evalExpression(this.textElements[b])[0][0],""!==g&&("string"===typeof g?e+=g:(g=parseFloat(g),g=d?g.toFixed(c):a.removeNeedlessDecimals(g.toFixed(c)),e+=g.toString().replace(".",this.parent.decimal_symbol))));return e};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z,B,y,D,E,C,A,I;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();s=new a.R2;q=new a.R2;u=new a.R2;p=new a.R2;n=new a.R2};a.extend(a.Equation,a.Graphic);a.Equation.prototype.parseExpression=function(){if("compOperator"===this.expresion.type){var b=this.expresion.childs[0],c=this.expresion.childs[1];"identifier"!=b.type||"y"!=
b.value||c.contains("y")?"identifier"!=c.type||"y"!=c.value||b.contains("y")?"identifier"!=b.type||"x"!=b.value||c.contains("x")?"identifier"!=c.type||"x"!=c.value||b.contains("x")||(this.of_y=!0,this.funExpr=c,this.drawAux=this.drawAuxFun):(this.funExpr=c,this.of_y=!0,this.drawAux=this.drawAuxFun):(this.funExpr=b,this.of_y=!1,this.drawAux=this.drawAuxFun):(this.funExpr=c,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,c){g=this.evaluator;this.getFamilyValues();tempParam=g.getVariable(this.family);if(0<=this.fSteps)for(var f=0,l=this.fSteps;f<=l;f++)g.setVariable(this.family,this.familyInf+f*this.family_sep),this.update(),this.drawAux(a,b,c);g.setVariable(this.family,tempParam)};a.Equation.prototype.drawTrace=
function(){this.uber.drawTrace.call(this,this.fill,this.trace)};a.Equation.prototype.drawAux=function(G,H,K){if(!(0>=this.evaluator.evalExpression(this.drawif))){var x,L,F;g=this.evaluator;c=g.parser;d=this.space;b=g.evalExpression(this.width);G.strokeStyle=this.color.getColor();G.lineWidth=b;h=c.getVariable("x");l=c.getVariable("y");f=d.w;k=d.h;r=f/9;3>r&&(r=3);m=k/7;3>m&&(m=3);e=[];s.set(0,0);q.set(0,0);u.set(0,0);var M=.25,N=8;this.abs_coord||(M/=d.scale,N/=d.scale);G.beginPath();for(I=parseInt(m/
2);I<k;I+=m)for(A=parseInt(r/2);A<f;A+=r){if(this.abs_coord){p.set(A,I);v=this.newt.findZero(p,M);if(null==v)continue;g.setVariable("x",v.x);g.setVariable("y",v.y);n.set(v.x,v.y)}else{p.set(d.getRelativeX(A),d.getRelativeY(I));v=this.newt.findZero(p,M);if(null==v)continue;g.setVariable("x",v.x);g.setVariable("y",v.y);n.set(d.getAbsoluteX(v.x),d.getAbsoluteY(v.y))}t=n.ix();w=n.iy();if(0<=t&&t<f&&0<=w&&w<k){if(e[t+w*d.w])continue;e[t+w*d.w]=!0}a.rangeOK&&(G.moveTo(t,w),G.lineTo(t,w));s.x=v.x;s.y=v.y;
q.x=v.x;q.y=v.y;z=this.newt.getUnitNormal();if(0!=z.x||0!=z.y)for(z.rotL90(),u.x=z.x,u.y=z.y,y=B=0,D=!1;2>y;)if(D&&(u.x=-z.x,u.y=-z.y,v.x=s.x,v.y=s.y,q.x=v.x,q.y=v.y,this.abs_coord?n.set(v.x,v.y):n.set(d.getAbsoluteX(v.x),d.getAbsoluteY(v.y)),t=n.ix(),w=n.iy(),D=!1,B=0),v.x+=N*u.x,v.y+=N*u.y,v=this.newt.findZero(v,M),null!=v){g.setVariable("x",v.x);g.setVariable("y",v.y);u.x=v.x-q.x;u.y=v.y-q.y;u.normalize();if(0==u.x&&0==u.y)break;q.x=v.x;q.y=v.y;this.abs_coord?n.set(v.x,v.y):n.set(d.getAbsoluteX(v.x),
d.getAbsoluteY(v.y));E=parseInt(n.ix());C=parseInt(n.iy());if(E!=t||C!=w)if(H=t,K=w,t=E,w=C,0<=t&&t<f&&0<=w&&w<k){B=0;x=e[t+w*d.w];e[t+w*d.w]=!0;for(var J=1;8>J;J++)L=H+Math.round((t-H)*J/8),F=K+Math.round((w-K)*J/8),0<=L&&L<f&&0<=F&&F<k&&(e[L+F*d.w]=!0);a.rangeOK&&(G.moveTo(H,K),G.lineTo(t,w));if(x)break}else D=!0,y++;else 4<++B&&(D=!0,y++)}}G.stroke()}};a.Equation.prototype.X=function(a,b,c){c||(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,c){c||(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,c){return Math.round(this.X(a,b,c))};a.Equation.prototype.YY=function(a,b,c){return Math.round(this.Y(a,b,c))};a.Equation.prototype.extrapolate=function(b,c,f,l,d,e){for(var n=this.evaluator.getVariable(c),m=e/2,h=0;1E-12<Math.abs(m);){var k=this.evaluator.getVariable(c),g=this.evaluator.getVariable(c)+
m;this.evaluator.setVariable(c,g);var u=!0,r=d;d=this.evaluator.evalExpression(this.funExpr);this.evaluator.setVariable(f,d);if(0<this.evaluator.evalExpression(b)){var q=new a.R2(Math.min(r,d),Math.max(r,d)),p=0,p=0<e?this.Singularity(Math.abs(m),c,l,k,r,g,d,q):this.Singularity(Math.abs(m),c,l,g,d,k,r,q);0<p&&(u=!1)}else u=!1;u?h+=m:this.evaluator.setVariable(c,k);m/=2}this.evaluator.setVariable(c,n);return new a.R2(h/Math.abs(e),d)};a.Equation.prototype.extrapolateOnSingularity=function(b,c,f,l,
d,e){l=this.evaluator.getVariable(c);for(var n=e/2,m=0,h=d;1E-12<Math.abs(n);){this.evaluator.setVariable(this.evaluator.getVariable(c)+n);var k=!0;0<this.evaluator.evalExpression(b)?(h=this.evaluator.evalExpression(this.funExpr),this.evaluator.setVariable(f,h),0>=this.evaluator.evalExpression(b)&&(k=!1)):k=!1;k?m+=n:this.evaluator.setVariable(this.evaluator.getVariable(c)-n);n/=2}if(0==m)for(n=e/2,m=e,h=d;1E-12<Math.abs(n);)this.evaluator.setVariable(this.evaluator.getVariable(c)-n),k=!0,0<this.evaluator.evalExpression(b)?
h=this.evaluator.evalExpression(this.funExpr):k=!1,k?m+=-n:this.evaluator.setVariable(this.evaluator.getVariable(c)+n),n/=2;this.evaluator.setVariable(l);return new a.R2(m/Math.abs(e),h)};a.Equation.prototype.Singularity=function(a,b,c,f,l,d,e,n){if(f>=d)return 2;var m=this.evaluator.getVariable(b),h=0;if(1E-12>Math.abs(d-f)||1E-8>Math.abs(d-f)&&Math.abs(e-l)>Math.abs(a))return this.evaluator.setVariable(b,m),1;var k=(f+d)/2;this.evaluator.setVariable(b,k);var g=this.evaluator.evalExpression(this.funExpr);
if(Math.abs(e-l)>a){this.evaluator.setVariable(b,f-1E-6);var u=this.evaluator.evalExpression(this.funExpr),u=(l-u)/1E-6;this.evaluator.setVariable(b,d+1E-6);var r=(this.evaluator.evalExpression(this.funExpr)-e)/1E-6,q=(e-l)/(d-f);if((10>Math.abs(r)||10>Math.abs(u))&&(0<=r&&0<=u||0>=r&&0>=u)&&8*Math.abs(r)<Math.abs(q))return this.evaluator.setVariable(b,m),2}n.x<=g&&g<=n.y||(this.evaluator.setVariable(b,k),n.x=Math.min(l,g),n.y=Math.max(l,g),f=this.Singularity(a/2,b,c,f,l,k,g,n),this.evaluator.setVariable(b,
d),n.x=Math.min(e,g),n.y=Math.max(e,g),a=this.Singularity(a/2,b,c,k,g,d,e,n),h=Math.max(f,a));this.evaluator.setVariable(b,m);return h};a.Equation.prototype.drawAuxFun=function(b,c,f){h=this.evaluator.parser.getVariable("x");l=this.evaluator.parser.getVariable("y");a.rangeOK=1;c="x";f="y";this.of_y&&(c="y",f="x");var d=this.drawif,e=this.evaluator.evalExpression(this.width),n=!1,m=new a.R2(this.space.w/2+this.space.Ox,this.space.h/2+this.space.Oy),m=this.of_y?m.ix():m.iy(),k=0,g=0,u=0,r=1/this.space.scale,
q=r*(this.of_y?-this.space.h+(this.space.h/2+this.space.Oy):-(this.space.w/2+this.space.Ox)),k=0;this.abs_coord&&(q=0,r=1);for(var p=this.of_y?this.space.h:this.space.w;g<p;){var s=!0,t=0;this.evaluator.setVariable(c,q);var w=this.evaluator.evalExpression(this.funExpr);if(isNaN(w))s=!1;else{this.evaluator.setVariable(f,w);if(0<this.evaluator.evalExpression(this.drawif)&&a.rangeOK){if(n){var t=Math.min(k,w),v=Math.max(k,w),v=new a.R2(t,v),t=this.Singularity(r,c,0,q-r,k,q,w,v);0===t?(k<=w?(k=v.x,w=
v.y):(w=v.x,k=v.y),t=this.of_y?this.XX(e,k,this.abs_coord):this.YY(e,k,this.abs_coord),k=this.abs_coord?Math.round(w):this.of_y?this.XX(e,w,this.abs_coord):this.YY(e,w,this.abs_coord),this.fillM&&k>m&&(b.lineWidth=1,b.strokeStyle=this.fillM.getColor(),b.beginPath(),this.of_y?(b.moveTo(m+1,this.space.h-g+.5),b.lineTo(k,this.space.h-g+.5)):(b.moveTo(g+.5,m+1),b.lineTo(g+.5,k)),b.stroke()),this.fillP&&k<m&&(b.lineWidth=1,b.strokeStyle=this.fillP.getColor(),b.beginPath(),this.of_y?(b.moveTo(m-1,this.space.h-
g+.5),b.lineTo(k,this.space.h-g+.5)):(b.moveTo(g+.5,m-1),b.lineTo(g+.5,k)),b.stroke()),b.lineWidth=e,b.strokeStyle=this.color.getColor(),b.beginPath(),this.of_y?(b.moveTo(t+.5,this.space.h-u),b.lineTo(k+.5,this.space.h-g)):(b.moveTo(u+.5,t),b.lineTo(g+.5,k)),b.stroke()):(1===t&&(this.evaluator.setVariable(c,q-r),u=this.extrapolate(d,c,f,0,k,r),this.YY(e,u.y,this.abs_coord),this.evaluator.setVariable(c,q),u=this.extrapolate(d,c,f,0,w,-r),this.YY(e,u.y,this.abs_coord)),this.YY(e,w,this.abs_coord))}else u=
this.extrapolateOnSingularity(d,c,f,0,w,-r),this.YY(e,u.y,this.abs_coord),this.YY(e,w,this.abs_coord);k=w}else s=!1;n&&!s&&(this.evaluator.setVariable(c,q-r),this.evaluator.setVariable(f,k),u=this.extrapolate(d,c,f,0,k,r),this.YY(e,u.y,this.abs_coord),this.evaluator.setVariable(c,q))}n=s;q+=r;u=g++}this.evaluator.parser.setVariable("x",h);this.evaluator.parser.setVariable("y",l)};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 e=Math.round;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?!0:!1)&&this.registerTextField()};a.extend(a.Curve,a.Graphic);var g,c,d,b,h,l,f,k,r,m,s;a.Curve.prototype.update=function(){g=this.evaluator;c=g.evalExpression(this.parameter_interval);this.paraInf=c[0][0];this.paraSup=c[0][1];this.pSteps=g.evalExpression(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(c,u,n){g=this.evaluator;d=this.space;b=e(g.evalExpression(this.width));c.lineWidth=0<b?b:1E-6;c.lineCap="round";c.lineJoin="round";c.strokeStyle=n.getColor();h=g.getVariable(this.parameter);c.beginPath();g.setVariable(this.parameter,this.paraInf);l=g.evalExpression(this.expresion);this.exprX=this.abs_coord?e(l[0][0]):e(d.getAbsoluteX(l[0][0]));this.exprY=this.abs_coord?e(l[0][1]):
e(d.getAbsoluteY(l[0][1]));this.rotateExp&&(f=a.degToRad(g.evalExpression(this.rotateExp)),k=Math.cos(f),r=Math.sin(f),m=this.exprX*k-this.exprY*r,s=this.exprX*r+this.exprY*k,this.exprX=m,this.exprY=s);c.moveTo(this.exprX+.5,this.exprY+.5);for(n=1;n<=this.pSteps;n++)g.setVariable(this.parameter,this.paraInf+n*this.paraSep),l=g.evalExpression(this.expresion),this.exprX=this.abs_coord?e(l[0][0]):e(d.getAbsoluteX(l[0][0])),this.exprY=this.abs_coord?e(l[0][1]):e(d.getAbsoluteY(l[0][1])),this.rotateExp&&
(m=this.exprX*k-this.exprY*r,s=this.exprX*r+this.exprY*k,this.exprX=m,this.exprY=s),c.lineTo(this.exprX+.5,this.exprY+.5);this.fill&&(c.fillStyle=u.getColor(),c.fill("evenodd"));c.stroke();g.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 e=2*Math.PI,g=Math.round,c,d,b,h,l,f,k,r,m,s,q,u,n,v;a.Sequence=function(b,c){this.size=b.evaluator.parser.parse("2");this.range=b.evaluator.parser.parse("[1, 100]");a.Graphic.call(this,b,c)};a.extend(a.Sequence,a.Graphic);a.Sequence.prototype.update=function(){c=this.evaluator;b=c.evalExpression(this.expresion);this.exprX=b[0][0];this.exprY=b[0][1];this.rotateExp&&(h=a.degToRad(c.evalExpression(this.rotateExp)),l=Math.cos(h),
f=Math.sin(h),k=this.exprX*l-this.exprY*f,r=this.exprX*f+this.exprY*l,this.exprX=k,this.exprY=r);q=c.evalExpression(this.range);this.rangeInf=q[0][0];this.rangeMax=q[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,f){c=this.evaluator;d=this.space;n=u=Math.ceil(c.evalExpression(this.size)-.4);a.fillStyle=f.getColor();a.beginPath();
this.rangeInf>this.rangeMax&&(v=this.rangeInf,this.rangeInf=this.rangeMax,this.rangeMax=v);for(var l=c.getVariable("n"),k=this.rangeInf,h=this.rangeMax;k<=h;k++)c.setVariable("n",k),b=c.evalExpression(this.expresion),this.exprX=b[0][0],this.exprY=b[0][1],m=this.abs_coord?g(this.exprX):g(d.getAbsoluteX(this.exprX)),s=this.abs_coord?g(this.exprY):g(d.getAbsoluteY(this.exprY)),a.beginPath(),a.arc(m,s,u,0,e,!0),a.fill();a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,m+n,s-n,this.color,
this.font,"start","alphabetic",c.evalExpression(this.decimals),this.fixed,!0);c.setVariable("n",l)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=2*Math.PI,g=Math.round,c,d,b,h,l,f,k,r,m,s,q,u;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(){c=this.evaluator;b=c.evalExpression(this.expresion);this.exprX=b[0][0];this.exprY=b[0][1];this.rotateExp&&(h=a.degToRad(c.evalExpression(this.rotateExp)),
l=Math.cos(h),f=Math.sin(h),k=this.exprX*l-this.exprY*f,r=this.exprX*f+this.exprY*l,this.exprX=k,this.exprY=r)};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){c=this.evaluator;d=this.space;q=g(c.evalExpression(this.size));u=q+1;a.fillStyle=b.getColor();m=this.abs_coord?g(this.exprX):g(d.getAbsoluteX(this.exprX));s=this.abs_coord?g(this.exprY):
g(d.getAbsoluteY(this.exprY));a.beginPath();a.arc(m,s,q,0,e,!0);a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,m+u+1,s-u,this.color,this.font,"start","alphabetic",c.evalExpression(this.decimals),this.fixed,!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.round,g=2*Math.PI,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z;a.Segment=function(b,c){this.width=b.evaluator.parser.parse("1");this.size=b.evaluator.parser.parse("2");a.Graphic.call(this,b,c)};a.extend(a.Segment,
a.Graphic);a.Segment.prototype.update=function(){c=this.evaluator;b=c.evalExpression(this.expresion);this.endPoints=[];for(var e=0,d=b.length;e<d;e++)this.endPoints[e]={x:b[e][0],y:b[e][1]};if(this.rotateExp)for(h=a.degToRad(c.evalExpression(this.rotateExp)),l=Math.cos(h),f=Math.sin(h),e=0,d=this.endPoints.length;e<d;e++)k=this.endPoints[e].x*l-this.endPoints[e].y*f,r=this.endPoints[e].x*f+this.endPoints[e].y*l,this.endPoints[e].x=k,this.endPoints[e].y=r};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,f){c=this.evaluator;d=this.space;m=e(c.evalExpression(this.width));a.lineWidth=0<m?m:1E-6;n=c.evalExpression(this.size);0>n&&(n=0);a.fillStyle=b.getColor();a.strokeStyle=f.getColor();a.lineCap="round";s=10+a.lineWidth;v=0==a.lineWidth%2?0:.5;this.abs_coord?(p=e(this.endPoints[0].x),t=e(this.endPoints[0].y),w=e(this.endPoints[1].x),z=e(this.endPoints[1].y)):
(p=e(d.getAbsoluteX(this.endPoints[0].x)),t=e(d.getAbsoluteY(this.endPoints[0].y)),w=e(d.getAbsoluteX(this.endPoints[1].x)),z=e(d.getAbsoluteY(this.endPoints[1].y)));a.beginPath();a.moveTo(p+v,t+v);a.lineTo(w+v,z+v);a.stroke();a.beginPath();a.arc(p,t,n,0,g,!0);a.arc(w,z,n,0,g,!0);a.fill();this.text!=[""]&&(q=parseInt((p+w)/2)-3,u=parseInt((t+z)/2)+3,this.uber.drawText.call(this,a,this.text,q+s,u-s,this.color,this.font,"start","alphabetic",c.evalExpression(this.decimals),this.fixed,!0))};return a}(descartesJS||
{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.floor,g=Math.round,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z;a.Arrow=function(b,c){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,c)};a.extend(a.Arrow,a.Graphic);a.Arrow.prototype.update=function(){c=this.evaluator;d=c.evalExpression(this.expresion);this.endPoints=[];for(var e=0,n=d.length;e<n;e++)this.endPoints[e]=
{x:d[e][0],y:d[e][1]};if(this.rotateExp)for(b=a.degToRad(c.evalExpression(this.rotateExp)),h=Math.cos(b),l=Math.sin(b),e=0,n=this.endPoints.length;e<n;e++)f=this.endPoints[e].x*h-this.endPoints[e].y*l,k=this.endPoints[e].x*l+this.endPoints[e].y*h,this.endPoints[e].x=f,this.endPoints[e].y=k};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,
f,l){c=this.evaluator;r=this.space;c.evalExpression(this.size);q=c.evalExpression(this.width);0>q&&(q=0);u=Math.ceil(q/2);n=r.scale;this.vect=new a.Vector2D(this.endPoints[1].x-this.endPoints[0].x,this.endPoints[1].y-this.endPoints[0].y);v=this.vect.vectorLength();this.angle=this.vect.angleBetweenVectors(a.Vector2D.AXIS_X);b.fillStyle=f.getColor();b.strokeStyle=l.getColor();b.lineWidth=2;this.abs_coord?(p=g(this.endPoints[0].x),t=g(this.endPoints[0].y),w=g(this.endPoints[1].x),z=g(this.endPoints[1].y)):
(p=g(r.getAbsoluteX(this.endPoints[0].x)),t=g(r.getAbsoluteY(this.endPoints[0].y)),w=g(r.getAbsoluteX(this.endPoints[1].x)),z=g(r.getAbsoluteY(this.endPoints[1].y)));f=c.evalExpression(this.spear);0>f&&(f=0);b.save();b.translate(p,t,v);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):(v*=n,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(-u,e(-u));
b.lineTo(e(v-f-q),e(-u));b.lineTo(e(v-2*f),e(-f-u));b.lineTo(e(v),0);b.lineTo(e(v-2*f),e(f+u));b.lineTo(e(v-f-q),e(u));b.lineTo(-u,e(u));b.closePath();b.stroke();b.fill();b.restore();this.text!=[""]&&(m=parseInt((p+w)/2)-3,s=parseInt((t+z)/2)+3,this.uber.drawText.call(this,b,this.text,m,s,l,this.font,"start","alphabetic",c.evalExpression(this.decimals),this.fixed,!0))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.round,g,c,d,b,h,l,f,k,r,m,s,q;a.Polygon=function(b,
c){this.width=b.evaluator.parser.parse("1");this.fill="";a.Graphic.call(this,b,c);this.endPoints=[]};a.extend(a.Polygon,a.Graphic);a.Polygon.prototype.update=function(){g=this.evaluator;d=g.evalExpression(this.expresion);for(var c=0,e=d.length;c<e;c++)this.endPoints[c]={x:d[c][0],y:d[c][1]};if(this.rotateExp)for(b=a.degToRad(g.evalExpression(this.rotateExp)),h=Math.cos(b),l=Math.sin(b),c=0,e=this.endPoints.length;c<e;c++)f=this.endPoints[c].x*h-this.endPoints[c].y*l,k=this.endPoints[c].x*l+this.endPoints[c].y*
h,this.endPoints[c].x=f,this.endPoints[c].y=k};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,f){g=this.evaluator;c=this.space;r=e(g.evalExpression(this.width));a.lineWidth=0<r?r:1E-6;a.strokeStyle=f.getColor();a.lineCap="round";a.lineJoin="round";m=0<r?.5:0;s=this.abs_coord?e(this.endPoints[0].x):e(c.getAbsoluteX(this.endPoints[0].x));
q=this.abs_coord?e(this.endPoints[0].y):e(c.getAbsoluteY(this.endPoints[0].y));a.beginPath();a.moveTo(s+m,q+m);f=1;for(var l=this.endPoints.length;f<l;f++)s=this.abs_coord?e(this.endPoints[f].x):e(c.getAbsoluteX(this.endPoints[f].x)),q=this.abs_coord?e(this.endPoints[f].y):e(c.getAbsoluteY(this.endPoints[f].y)),a.lineTo(s+m,q+m);this.fill&&(a.fillStyle=b.getColor(),a.fill());a.stroke()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.round,g,c,d,b,h,l,f,k,r,m,s,
q,u,n,v,p,t,w,z,B,y;a.Arc=function(b,c){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,c);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(){g=this.evaluator;c=g.evalExpression(this.center);this.exprX=c[0][0];this.exprY=c[0][1];d=0;this.rotateExp&&(d=a.degToRad(g.evalExpression(this.rotateExp)),b=Math.cos(d),h=Math.sin(d),l=this.exprX*b-this.exprY*h,f=this.exprX*h+this.exprY*b,this.exprX=l,this.exprY=f);var e=g.evalExpression(this.initExpr),p=g.evalExpression(this.endExpr);"(expr)"==this.initExpr.type&&"(expr)"==this.endExpr.type||"[expr]"==this.initExpr.type&&"[expr]"==this.endExpr.type||"(expr)"==this.initExpr.type&&
"[expr]"==this.endExpr.type||"[expr]"==this.initExpr.type&&"(expr)"==this.endExpr.type?(k=e[0][0],r=e[0][1],m=p[0][0],s=p[0][1],this.vectors?this.abs_coord&&(r=-r,s=-s):this.abs_coord?(k-=this.exprX,r=-r+this.exprY,m-=this.exprX,s=-s+this.exprY):(k-=this.exprX,r-=this.exprY,m-=this.exprX,s-=this.exprY),q=0==k?0>r?-Math.PI/2:Math.PI/2:Math.acos(1*k/Math.sqrt(k*k+r*r)),u=0==m?0>s?-Math.PI/2:Math.PI/2:Math.acos(1*m/Math.sqrt(m*m+s*s)),q+=d,u+=d,0<k&&0<r&&this.abs_coord&&(q=2*Math.PI-q),0<k&&0>r&&!this.abs_coord&&
(q=2*Math.PI-q),0>k&&0>r&&!this.abs_coord&&(q=2*Math.PI-q),0>k&&0<r&&this.abs_coord&&(q=2*Math.PI-q),0<m&&0<s&&this.abs_coord&&(u=2*Math.PI-u),0<m&&0>s&&!this.abs_coord&&(u=2*Math.PI-u),0>m&&0>s&&!this.abs_coord&&(u=2*Math.PI-u),0>m&&0<s&&this.abs_coord&&(u=2*Math.PI-u),n=Math.min(q,u),v=Math.max(q,u),q=n,u=v,u-q>Math.PI&&this.abs_coord&&(q=v,u=n),u-q<=Math.PI&&!this.abs_coord&&(q=v,u=n),this.iniAng=q,this.endAng=u,this.drawPoints=!0):(this.iniAng=a.degToRad(e)+d,this.endAng=a.degToRad(p)+d,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,c){g=this.evaluator;p=this.space;z=g.evalExpression(this.radius);0>z&&(z=0);y=e(g.evalExpression(this.width));a.lineWidth=0<y?y:1E-6;a.lineCap="round";a.strokeStyle=c.getColor();this.drawAngle?(this.abs_coord?(t=e(this.exprX),w=e(this.exprY)):(t=e(p.getAbsoluteX(this.exprX)),w=e(p.getAbsoluteY(this.exprY)),
z*=p.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng),this.iniAng>this.endAng&&(B=this.iniAng,this.iniAng=this.endAng,this.endAng=B)):this.drawPoints&&(this.abs_coord?(t=e(this.exprX),w=e(this.exprY)):(t=e(p.getAbsoluteX(this.exprX)),w=e(p.getAbsoluteY(this.exprY)),z*=p.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng));this.fill&&(a.fillStyle=b.getColor(),a.beginPath(),a.moveTo(t,w),a.arc(t,w,z,this.iniAng,this.endAng,void 0),a.fill());a.beginPath();a.arc(t,w,z,this.iniAng,this.endAng,
void 0);a.stroke();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,t+4,w-2,this.color,this.font,"start","alphabetic",g.evalExpression(this.decimals),this.fixed,!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t;a.Text=function(b,c){this.width=b.evaluator.parser.parse("0");a.Graphic.call(this,b,c);this.align||(this.align="start");this.ascent=this.fontSize-Math.ceil(this.fontSize/7)-(this.font.match("Courier")?3:0);this.abs_coord=
!0};a.extend(a.Text,a.Graphic);a.Text.prototype.update=function(){e=this.evaluator;g=e.evalExpression(this.expresion);this.exprX=g[0][0];this.exprY=g[0][1];this.rotateExp&&(c=a.degToRad(e.evalExpression(this.rotateExp)),d=Math.cos(c),b=Math.sin(c),h=this.exprX*d-this.exprY*b,l=this.exprX*b+this.exprY*d,this.exprX=h,this.exprY=l)};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){t=this.evaluator.evalExpression(this.decimals);"rtfNode"===this.text.type?(m=this.text,this.ascent=0):m=this.splitText(this.text.toString(t,this.fixed).split("\\n"));this.text!=[""]&&this.uber.drawText.call(this,a,m,parseInt(this.exprX)+5,parseInt(this.exprY)+this.ascent,b,this.font,this.align,"alphabetic",t,this.fixed)};a.Text.prototype.splitText=function(a){e=this.evaluator;f=e.evalExpression(this.width);m=[];this.ctx.font=this.font;if(20<=f&&"undefined"!=a.type){for(var b=0,c=a.length;b<
c;b++)k=a[b],r=this.ctx.measureText(k).width,r>f?m=m.concat(this.splitWords(k,f)):m.push(k);s=Math.floor(1.2*this.fontSize)*m.length;e.setVariable("_Text_H_",s);return m}e.setVariable("_Text_H_",0);e.setVariable("_Text_W_",1E3);return a};a.Text.prototype.splitWords=function(a,b){q=a;u=[];n="";p=0;for(var c,f=0,e=a.length;f<e;f++)v=q.charAt(f)," "===v&&(lastIndexOfWhite=f),n+=v,Math.round(this.ctx.measureText(n).width)>b&&(c=a.substring(p,f+1)," "!==v&&(-1===c.indexOf(" ")?(lastIndexOfWhite=f,f--):
f=lastIndexOfWhite),u.push(a.substring(p,lastIndexOfWhite)),n="",p=f+1);u.push(a.substring(p));return u};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.round,g,c,d,b,h,l,f,k,r,m,s,q,u,n;a.Image=function(b,c){this.file="";this.inirot=b.evaluator.parser.parse("0");this.pattern=!1;a.Graphic.call(this,b,c);this.img=new Image;this.scaleY=this.scaleX=1;this.update()};a.extend(a.Image,a.Graphic);a.Image.prototype.update=function(){g=this.evaluator;c=g.evalExpression(this.expresion);
this.exprX=c[0][0];this.exprY=c[0][1];this.rotateExp&&(d=a.degToRad(g.evalExpression(this.rotateExp)),b=Math.cos(d),h=Math.sin(d),l=this.exprX*b-this.exprY*h,f=this.exprX*h+this.exprY*b,this.exprX=l,this.exprY=f);4<=c[0].length&&(this.centered=!0,this.scaleX=c[0][2],0==this.scaleX&&(this.scaleX=1E-5),this.scaleY=c[0][3],0==this.scaleY&&(this.scaleY=1E-5),c[0][4]&&(this.pattern=1==c[0][4]?!0:!1));c[1]&&2==c[1].length&&(this.centered=!0,this.scaleX=c[1][0],0==this.scaleX&&(this.scaleX=1E-5),this.scaleY=
c[1][1],0==this.scaleY&&(this.scaleY=1E-5));if((k=g.evalExpression(this.file))||""==k)this.img=this.parent.getImage(k)};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){g=this.evaluator;r=this.space;this.img&&this.img.ready&&this.img.complete&&(m=this.centered?0:e(this.img.width/2),s=this.centered?0:e(this.img.height/2),q=this.abs_coord?e(this.exprX):e(r.getAbsoluteX(this.exprX)),
u=this.abs_coord?e(this.exprY):e(r.getAbsoluteY(this.exprY)),n=a.degToRad(-g.evalExpression(this.inirot)),b.save(),b.translate(q+m,u+s),b.rotate(n),this.opacity&&(b.globalAlpha=g.evalExpression(this.opacity)),this.pattern?(b.fillStyle=b.createPattern(this.img,"repeat"),b.translate(-e(this.img.width/2)*this.scaleX,-e(this.img.height/2)*this.scaleY),b.fillRect(0,0,this.img.width*this.scaleX,this.img.height*this.scaleY)):(b.scale(this.scaleX,this.scaleY),b.drawImage(this.img,-e(this.img.width/2),-e(this.img.height/
2))),b.restore())};return a}(descartesJS||{}),descartesJS=function(a){function e(a,b,c){f=4*(b+c*a.width);return{r:a.data[f],g:a.data[f+1],b:a.data[f+2],a:a.data[f+3]}}if(a.loadLib)return a;var g,c,d,b,h,l,f;a.Fill=function(b,c){a.Graphic.call(this,b,c)};a.extend(a.Fill,a.Graphic);a.Fill.prototype.update=function(){g=this.evaluator.evalExpression(this.expresion);this.exprX=g[0][0];this.exprY=g[0][1]};a.Fill.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Fill.prototype.drawTrace=
function(){};a.Fill.prototype.drawAux=function(a,g){g.getColor();imageData=this.ctx.getImageData(0,0,this.space.w,this.space.h);this.abs_coord?(c=parseInt(this.exprX),d=parseInt(this.exprY)):(c=parseInt(this.space.getAbsoluteX(this.exprX)),d=parseInt(this.space.getAbsoluteY(this.exprY)));if(!(0>c||0>d||c>=this.space.w||d>=this.space.h)){b=[{x:c,y:d}];for(l=e(imageData,c,d);0<b.length;){h=b.pop();c=h.x;d=h.y;var m=e(imageData,c,d);if(l.r===m.r&&l.g===m.g&&l.b===m.b&&l.a===m.a){var m=imageData,s=g;
f=4*(c+d*m.width);m.data[f+0]=s.r;m.data[f+1]=s.g;m.data[f+2]=s.b;m.data[f+3]=255-s.a;0<c&&b.push({x:c-1,y:d});c<imageData.width-1&&b.push({x:c+1,y:d});b.push({x:c,y:d-1});b.push({x:c,y:d+1})}}this.ctx.putImageData(imageData,0,0)}};return a}(descartesJS||{}),descartesJS=function(a,e){if(a.loadLib)return a;var g=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,c;a.Macro=function(c,b){this.hasExpresion=!1;this.inirot=c.evaluator.parser.parse("0");this.inipos=c.evaluator.parser.parse("(0,0)");a.Graphic.call(this,
c,b);for(var h in b)"expresion"==h&&(this.hasExpresion=!0),b.hasOwnProperty(h)&&(this[h]=b[h]);this.graphics=[];h=c.lessonParser;var l=new a.Tokenizer;if(this.hasExpresion){"'"!==this.expresion.charAt(0)&&(this.expresion="'"+this.expresion+"'");this.expresion=this.evaluator.parser.parse(this.expresion);var f=this.evaluator.evalExpression(this.expresion),k;f&&((k=document.getElementById(f))&&"descartes/macro"==k.type?k=k.text:(k=a.openExternalFile(f))&&!k.match(/tipo_de_macro/g)&&(k=null));var r,m;
if(k){m=k.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");k=[];for(var f=0,s=m.length;f<s;f++)if(r=
m[f].indexOf("="),-1!==r){r=h.split(m[f]);for(var q=0,u=r.length;q<u;q++)r[q]&&1<r.length&&("id"!==e[r[q][0]]&&"type"!==e[r[q][0]]||k.push(r))}for(var n,v,f=0,s=k.length;f<s;f++)for(u=(q=k[f]||[],q[0])&&"id"===q[0][0],m=0,r=q.length;m<r;m++)if(n=q[m][0].indexOf("."),-1===n||u?n=e[q[m][0]]:(n=e[q[m][0].substring(n+1)],q[m][0]=this.name+"."+q[m][0]),!("font"===n||("fill"===n||"color"===n||"arrow"===n)&&"("!==q[m][1].charAt(0)||"file"===n&&q[m][1].match(g)||"id"!==n&&void 0!==e[q[m][1]]))if("text"==
n)if(q[m][1].match(/\{\\rtf1/)){n=q[m][1];var p=this;v=function(a,b){for(var c=l.tokenize(b.replace(/\&squot;/g,"'")),f=0,e=c.length;f<e;f++)"identifier"!=c[f].type||"-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-_GetValues_-_GetMatrix_-_Save_-_Open_-_SaveState_-_OpenState_-_AnchoDeCadena_-_Rojo_-_Verde_-_Azul_-".match("-"+c[f].value+"-")||(c[f].value=
p.name+"."+c[f].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+l.flatTokens(c)};n=n.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,v);n=n.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,v);q[m][1]=n}else{v=h.parseText(q[m][1]).textElementsMacros;for(var t=0,w=v.length;t<w;t++){n=l.tokenize(v[t].replace(/\&squot;/g,"'"));for(var z=0,B=n.length;z<B;z++)"identifier"!==n[z].type||"-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-_GetValues_-_GetMatrix_-_Save_-_Open_-_SaveState_-_OpenState_-_AnchoDeCadena_-_Rojo_-_Verde_-_Azul_-".match("-"+
n[z].value+"-")||(n[z].value=this.name+"."+n[z].value);n=l.flatTokens(n).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");v[t]=n.substring(1,n.length-1)}q[m][1]=v.join("")}else{v=q[m][1].replace(/\&squot;/g,"'").split(";");t=0;for(w=v.length;t<w;t++){n=l.tokenize(v[t].replace(/\\n/g,";"));z=0;for(B=n.length;z<B;z++)"identifier"!==n[z].type||"-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-_GetValues_-_GetMatrix_-_Save_-_Open_-_SaveState_-_OpenState_-_AnchoDeCadena_-_Rojo_-_Verde_-_Azul_-".match("-"+
n[z].value+"-")||(n[z].value=this.name+"."+n[z].value);v[t]=l.flatTokens(n)}q[m][1]=v.join(";")}f=0;for(s=k.length;f<s;f++)if(k[f][0]){q="";u=!1;m=0;for(r=k[f].length;m<r;m++)"type"===e[k[f][m][0]]&&(q="espacio='"+this.spaceID+"' ",u=!0),q=q+k[f][m][0]+"='"+k[f][m][1]+"' ";k[f]=q;u?this.graphics.push(h.parseGraphic(k[f],this.abs_coord,this.background,this.inirot)):h.parseAuxiliar(k[f])}}}};a.extend(a.Macro,a.Graphic);a.Macro.prototype.update=function(){c=this.evaluator.evalExpression(this.inipos);
this.iniPosX=c[0][0];this.iniPosY=c[0][1]};a.Macro.prototype.drawAux=function(a){for(var b=0,c=this.graphics.length;b<c;b++)this.graphics[b]&&(a.save(),this.graphics[b].abs_coord?a.translate(this.iniPosX,this.iniPosY):a.translate(this.iniPosX*this.space.scale,-this.iniPosY*this.space.scale),this.graphics[b].draw(),a.restore())};return a}(descartesJS||{},babel),descartesJS=function(a){if(a.loadLib)return a;a.Generic=function(e,g){this.width=e.evaluator.parser.parse("1");a.Graphic.call(this,e,g)};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,g,c){var d=this.evaluator.getDefinition(this.expresionString);d&&d.draw(a,g,c,this)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.sqrt,g=Math.sin,c=Math.cos,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t;a.norm3D=
function(a){return e(a.x*a.x+a.y*a.y+a.z*a.z)};a.normalize3D=function(b){d=a.norm3D(b);if(0===d)return{x:0,y:0,z:0};if(1===d)return{x:b.x,y:b.y,z:b.z};d=1/d;return{x:b.x*d,y:b.y*d,z:b.z*d}};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,c){return Math.abs(a.x-b.x)<=c&&Math.abs(a.y-b.y)<=c&&Math.abs(a.z-b.z)<=c};a.Vector4D=function(a,b,c,f){this.x=a||0;this.y=b||0;this.z=c||0;this.w=f||0};a.Matrix4x4=function(a,b,c,f,e,l,d,n,m,k,h,g,r,u,q,p){this.a00=a||0;this.a01=b||0;this.a02=c||0;this.a03=f||0;this.a10=e||0;this.a11=l||0;this.a12=d||0;this.a13=n||0;this.a20=m||0;this.a21=k||0;this.a22=h||0;this.a23=g||0;this.a30=r||0;this.a31=u||0;this.a32=q||0;this.a33=p||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(f){b=g(f);h=c(f);m=this.a10;s=this.a11;q=this.a12;u=this.a13;n=this.a20;v=this.a21;p=this.a22;t=this.a23;return new a.Matrix4x4(this.a00,this.a01,this.a02,this.a03,m*h+n*
b,s*h+v*b,q*h+p*b,u*h+t*b,m*-b+n*h,s*-b+v*h,q*-b+p*h,u*-b+t*h,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateY=function(e){b=g(e);h=c(e);l=this.a00;f=this.a01;k=this.a02;r=this.a03;n=this.a20;v=this.a21;p=this.a22;t=this.a23;return new a.Matrix4x4(l*h+n*-b,f*h+v*-b,k*h+p*-b,r*h+t*-b,this.a10,this.a11,this.a12,this.a13,l*b+n*h,f*b+v*h,k*b+p*h,r*b+t*h,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateZ=function(e){b=g(e);h=c(e);l=this.a00;f=this.a01;k=this.a02;r=this.a03;
m=this.a10;s=this.a11;q=this.a12;u=this.a13;return new a.Matrix4x4(l*h+m*b,f*h+s*b,k*h+q*b,r*h+u*b,l*-b+m*h,f*-b+s*h,k*-b+q*h,r*-b+u*h,this.a20,this.a21,this.a22,this.a23,this.a30,this.a31,this.a32,this.a33)};return a}(descartesJS||{}),descartesJS=function(a){function e(a){0!==parseInt(this.size)&&(a.lineWidth=1,a.fillStyle=this.backColor,a.strokeStyle=this.frontColor,a.beginPath(),a.arc(this.newV[0].x,this.newV[0].y,this.size+.5,0,h),a.fill(),a.stroke())}function g(a,b){a.lineCap="round";a.lineJoin=
"round";a.lineWidth=1;a.beginPath();a.moveTo(this.newV[0].x,this.newV[0].y);for(var c=1,f=this.newV.length;c<f;c++)a.lineTo(this.newV[c].x,this.newV[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.strokeStyle="#808080",a.stroke())}function c(a){s=this.evaluator.getVariable(this.family);this.evaluator.setVariable(this.family,this.familyValue);this.drawText(a,this.text,this.newV[0].x,this.newV[0].y+this.displace,this.frontColor,this.font,"left","alphabetic",this.decimals,this.fixed,!0);this.evaluator.setVariable(this.family,s)}function d(a){a.lineCap=
"round";a.lineJoin="round";a.lineWidth=this.lineWidth;a.strokeStyle=this.frontColor;a.beginPath();a.moveTo(this.newV[0].x,this.newV[0].y);a.lineTo(this.newV[1].x,this.newV[1].y);a.stroke()}function b(b,c,e){l=a.subtract3D(b,c);f=a.subtract3D(b,e);return a.normalize3D(a.crossProduct3D(l,f))}if(a.loadLib)return a;var h=2*Math.PI,l,f,k,r,m,s;a.Primitive3D=function(a,f){this.space=f;for(var l in a)a.hasOwnProperty(l)&&(this[l]=a[l]);this.newV=[];this.spaceVertices=[];"vertex"===this.type?this.draw=e:
"face"===this.type?(this.normal=b(this.vertices[0],this.vertices[1],this.vertices[2]),this.draw=g):"text"===this.type?(this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?parseInt(this.fontSize[1]):10,this.draw=c):"edge"===this.type&&(this.draw=d);this.isText&&(this.computeDepth=function(){this.newV=this.vertices;this.depth=this.vertices[0].z;this.average=this.vertices[0]})};a.Primitive3D.prototype.computeDepth=function(c){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 f=0,e=this.vertices.length;f<e;f++)this.newV[f]=c.rotateVertex(this.vertices[f]),this.spaceVertices[f]=c.rotateVertex(this.vertices[f]),this.average.x+=this.newV[f].x,this.average.y+=this.newV[f].y,this.average.z+=this.newV[f].z;this.average=a.scalarProduct3D(this.average,1/e);this.averageP=c.project(this.average);this.depth=this.averageP.z;2<this.vertices.length&&(this.normal=b(this.newV[0],this.newV[1],this.newV[2]),this.direction=a.dotProduct3D(this.normal,
a.normalize3D(c.eye)));f=0;for(e=this.vertices.length;f<e;f++)this.newV[f]=c.project(this.newV[f])};var q;a.Primitive3D.prototype.removeDoubles=function(){if("edge"!==this.type){q=[];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||q.push(this.vertices[a]);0===q.length&&q.push(this.vertices[0]);this.vertices=q}};a.Primitive3D.prototype.drawText=
function(b,c,f,e,l,d,h,g,q,s,E){if("rtfNode"==c.type)b.fillStyle=l,b.strokeStyle=l,b.textBaseline="alphabetic",c.draw(b,f,e,q,s,h,E);else for("simpleText"===c.type&&(c=c.toString(q,s).split("\\n")),f+=d.match("Arial")?-2:d.match("Times")?-2:0,k=this.evaluator,b.fillStyle=a.getColor(k,l),b.font=d,b.textAlign=h,b.textBaseline=g,r=1.2*this.fontSize||0,l=0,d=c.length;l<d;l++)m=c[l],this.border&&b.strokeText(m,f,e+r*l),b.fillText(m,f,e+r*l)};a.Primitive3D.prototype.splitFace=function(b){if(this.intersects(b)){for(var c=
null,f=null,e=0,l=0,d=0,m=b.vertices.length;d<m;d++){var k=this.intersection(b.vertices[d],b.vertices[(d+1)%m]);if(null!==k)if(null===c){if(c=k,e=d,2===b.vertices.length){f=c;break}}else if(!a.equals3DEpsilon(k,c,1E-8)){f=k;l=d;break}}if(null!==c&&null!==f){var d=this.isInterior(c)||this.isInterior(f),h=null,g=null;if(!d&&3<=b.vertices.length)for(var m=0,r=this.vertices.length;m<r;m++)if(k=b.intersection(this.vertices[m],this.vertices[(m+1)%r]),null!==k)if(null===h)h=k;else if(!a.equals3DEpsilon(k,
h,1E-8)){g=k;break}if(d||null!==h&&null!==g&&b.isInterior(h)&&b.isInterior(g)){g=!0;r=b.vertices;h=k=null;if(2===r.length)a.equals(c,r[0],1E-8)||a.equals(c,r[1],1E-8)?g=!1:(k=[],k[0]=r[0],k[1]=c,h=[],h[0]=c,h[1]=r[1]);else for(var k=[],h=[],q=0,d=m=0;d<r.length;d++)d<e?k[q++]=r[d]:d==e?(k[q++]=r[d],k[q++]=c,h[m++]=c):d<l?h[m++]=r[d]:d==l?(h[m++]=r[d],h[m++]=f,k[q++]=f):k[q++]=r[d];if(g)return c=[],c[0]=new a.Primitive3D({vertices:k,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:h,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=a.dotProduct3D(b.vertices[0],b.normal),f=a.dotProduct3D(this.vertices[0],b.normal);if(1E-8>Math.abs(c-f))return!0;for(var e=
1,l=this.vertices.length;e<l;e++){var d=a.dotProduct3D(this.vertices[e],b.normal);if(1E-8>Math.abs(c-d)||d>c&&f<c||d<c&&f>c)return!0}return!1};a.Primitive3D.prototype.intersection=function(b,c){if(0<this.vertices.length){var f=a.subtract3D(c,b),e=a.dotProduct3D(f,this.normal);if(0!==e&&(e=a.dotProduct3D(a.subtract3D(this.vertices[0],b),this.normal)/e,-1E-8<e&&1.00000001>e))return a.add3D(b,a.scalarProduct3D(f,e))}return null};a.Primitive3D.prototype.isInterior=function(b){if(0<this.vertices.length)for(var c=
0,f=a.subtract3D(this.vertices[0],b),e=0,l=this.vertices.length;e<l;e++){var d=a.subtract3D(this.vertices[(e+1)%l],b),m=a.dotProduct3D(a.crossProduct3D(f,d),this.normal);if(1E-8>Math.abs(m)){if(0>a.dotProduct3D(f,d))break}else{if(0>c&&0<m||0<c&&0>m)return!1;f=d;c=m}}return!0};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e={x:0,y:0,z:0},g,c,d,b,h,l;a.Graphic3D=function(b,c){this.parent=b;this.evaluator=b.evaluator;var f=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=f.parse("1");this.abs_coord=!1;this.family="";this.family_interval=f.parse("[0,1]");this.family_steps=f.parse("8");this.font="Monospaced,PLAIN,12";this.fixed=!0;this.text="";this.decimals=f.parse("2");this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=f.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=
f.parse("(0,0,0)");this.model="color";for(var e in c)c.hasOwnProperty(e)&&(this[e]=c[e]);void 0==this.expresion&&"macro"!=this.type&&(this.expresion=f.parse("(0,0)"));this.space=this.getSpace();this.canvas=this.background?this.space.backgroundCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");this.font=a.convertFont(this.font);this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?parseInt(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=f.parse(this.inirot);this.endrot=f.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,f=a.length;c<f;c++)if(b=a[c],b.id==this.spaceID)return b;return a[0]};a.Graphic3D.prototype.getFamilyValues=function(){g=this.evaluator;c=g.evalExpression(this.family_interval);this.familyInf=c[0][0];this.familySup=c[0][1];this.fSteps=Math.round(g.evalExpression(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic3D.prototype.buildFamilyPrimitives=function(){g=this.evaluator;this.getFamilyValues();
d=g.getVariable(this.family);if(0<=this.fSteps)for(var a=0,b=this.fSteps;a<=b;a++)g.setVariable(this.family,this.familyInf+a*this.family_sep),this.familyValue=this.familyInf+a*this.family_sep,g.evalExpression(this.drawif)&&this.buildPrimitives();g.setVariable(this.family,d)};a.Graphic3D.prototype.update=function(){this.primitives=[];this.evaluator.evalExpression(this.drawif)&&(this.family||this.buildPrimitives());this.family&&this.buildFamilyPrimitives()};a.Graphic3D.prototype.updateMVMatrix=function(){h=
this.evaluator.evalExpression(this.inirot);this.inirotEuler?(this.inirotM=this.inirotM.setIdentity(),this.inirotM=this.inirotM.rotateZ(a.degToRad(h[0][0])),this.inirotM=this.inirotM.rotateX(a.degToRad(h[0][1])),this.inirotM=this.inirotM.rotateZ(a.degToRad(h[0][2]))):(this.inirotM_X=this.inirotM_X.setIdentity().rotateX(a.degToRad(h[0][0])),this.inirotM_Y=this.inirotM_Y.setIdentity().rotateY(a.degToRad(h[0][1])),this.inirotM_Z=this.inirotM_Z.setIdentity().rotateZ(a.degToRad(h[0][2])));h=this.evaluator.evalExpression(this.inipos);
e={x:h[0][0],y:h[0][1],z:h[0][2]};this.iniposM=this.iniposM.setIdentity().translate(e);h=this.evaluator.evalExpression(this.endrot);this.endrotEuler?(this.endrotM=this.endrotM.setIdentity(),this.endrotM=this.endrotM.rotateZ(a.degToRad(h[0][0])),this.endrotM=this.endrotM.rotateX(a.degToRad(h[0][1])),this.endrotM=this.endrotM.rotateZ(a.degToRad(h[0][2]))):(this.endrotM_X=this.endrotM_X.setIdentity().rotateX(a.degToRad(h[0][0])),this.endrotM_Y=this.endrotM_Y.setIdentity().rotateY(a.degToRad(h[0][1])),
this.endrotM_Z=this.endrotM_Z.setIdentity().rotateZ(a.degToRad(h[0][2])));h=this.evaluator.evalExpression(this.endpos);e={x:h[0][0],y:h[0][1],z:h[0][2]};this.endposM=this.endposM.setIdentity().translate(e)};a.Graphic3D.prototype.transformVertex=function(a){this.macroChildren&&(a=this.applyMacroTransform(a));this.inirotEuler?b=this.inirotM.multiplyVector4(a):(b=this.inirotM_X.multiplyVector4(a),b=this.inirotM_Y.multiplyVector4(b),b=this.inirotM_Z.multiplyVector4(b));b=this.iniposM.multiplyVector4(b);
this.endrotEuler?b=this.endrotM.multiplyVector4(b):(b=this.endrotM_X.multiplyVector4(b),b=this.endrotM_Y.multiplyVector4(b),b=this.endrotM_Z.multiplyVector4(b));return b=this.endposM.multiplyVector4(b)};a.Graphic3D.prototype.applyMacroTransform=function(a){this.macro_inirotEuler?b=this.macro_inirotM.multiplyVector4(a):(b=this.macro_inirotM_X.multiplyVector4(a),b=this.macro_inirotM_Y.multiplyVector4(b),b=this.macro_inirotM_Z.multiplyVector4(b));b=this.macro_iniposM.multiplyVector4(b);this.macro_endrotEuler?
b=this.macro_endrotM.multiplyVector4(b):(b=this.macro_endrotM_X.multiplyVector4(b),b=this.macro_endrotM_Y.multiplyVector4(b),b=this.macro_endrotM_Z.multiplyVector4(b));return b=this.macro_endposM.multiplyVector4(b)};a.Graphic3D.prototype.parseExpression=function(){l=[];for(var a=this.expresion.replace(/\n/g," ").replace(/ ( )+/g," ").trim(),b=[],c=0,f,e=a.length,d=a.length-1;-1<d;d--)f=a.charAt(d),0==c?"="==f&&(c=1):1==c?" "!=f&&(c="<"==f||">"==f?0:2):2==c&&" "==f&&(b.unshift(a.substring(d+1,e)),
e=d,c=0);b.unshift(a.substring(0,e));d=0;for(a=b.length;d<a;d++)l.push(this.evaluator.parser.parse(b[d],!0));return l};var f;a.Graphic3D.prototype.splitFace=function(a){for(var b=0,c=this.primitives.length;b<c;b++)if(f=[],"face"===this.primitives[b].type){for(var e=0,l=a.primitives.length;e<l;e++)"face"===a.primitives[e].type?f=f.concat(this.primitives[b].splitFace(a.primitives[e])):f.push(a.primitives[e]);a.primitives=f}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,
g,c,d,b;a.Point3D=function(b,c){a.Graphic3D.call(this,b,c)};a.extend(a.Point3D,a.Graphic3D);a.Point3D.prototype.buildPrimitives=function(){e=this.evaluator;this.updateMVMatrix();g=e.evalExpression(this.expresion);c=g[0][0];d=g[0][1];b=g[0][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(c,d,b,1))],type:"vertex",backColor:this.backcolor.getColor(),frontColor:this.color.getColor(),size:e.evalExpression(this.width)}));""!==this.text&&this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(c,
d,b,1))],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:e.evalExpression(this.decimals),fixed:this.fixed,displace:this.fontSize,evaluator:e,text:this.text,family:this.family,familyValue:this.familyValue},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l;a.Segment3D=function(b,c){this.width=b.evaluator.parser.parse("1");a.Graphic3D.call(this,b,c)};a.extend(a.Segment3D,a.Graphic3D);a.Segment3D.prototype.buildPrimitives=function(){evaluator=
this.evaluator;this.updateMVMatrix();l=evaluator.getVariable("u");evaluator.setVariable("u",this.Nu);expr=evaluator.evalExpression(this.expresion);e=expr[0][0];g=expr[0][1];c=expr[0][2];d=expr[1][0];b=expr[1][1];h=expr[1][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(e,g,c,1)),this.transformVertex(new a.Vector4D(d,b,h,1))],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.evalExpression(this.width)},this.space));evaluator.setVariable("u",l)};
return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k,r;a.Surface3D=function(b,c){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,c);this.expresion=this.parseExpression()};a.extend(a.Surface3D,a.Graphic3D);a.Surface3D.prototype.buildPrimitives=function(){e=this.evaluator;this.updateMVMatrix();d=e.getVariable("x");b=e.getVariable("y");h=e.getVariable("z");
g=e.getVariable("u");c=e.getVariable("v");e.setVariable("u",0);e.setVariable("v",0);l=e.evalExpression(this.Nu);f=e.evalExpression(this.Nv);k=[];for(var m=0;m<=l;m++){e.setVariable("u",m/l);for(var s=0;s<=f;s++){e.setVariable("v",s/f);for(var q=0,u=this.expresion.length;q<u;q++)e.evalExpression(this.expresion[q]);k.push(this.transformVertex(new a.Vector4D(e.getVariable("x"),e.getVariable("y"),e.getVariable("z"),1)))}}for(m=0;m<l;m++)for(s=0;s<f;s++)r=[],r.push(k[s+m*f+m]),r.push(k[s+1+m*f+m]),r.push(k[s+
2+(m+1)*f+m]),r.push(k[s+1+(m+1)*f+m]),this.primitives.push(new a.Primitive3D({vertices:r,type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space));e.setVariable("x",d);e.setVariable("y",b);e.setVariable("z",h);e.setVariable("u",g);e.setVariable("v",c)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h;a.Polygon3D=function(b,c){this.width=b.evaluator.parser.parse("1");a.Graphic3D.call(this,
b,c)};a.extend(a.Polygon3D,a.Graphic3D);a.Polygon3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.evalExpression(this.expresion);for(var l=0,f=expr.length-1;l<f;l++)e=expr[l][0],g=expr[l][1],c=expr[l][2],d=expr[l+1][0],b=expr[l+1][1],h=expr[l+1][2],this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(e,g,c,1)),this.transformVertex(new a.Vector4D(d,b,h,1))],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.evalExpression(this.width)},
this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h;a.Curve3D=function(b,c){this.width=b.evaluator.parser.parse("1");a.Graphic3D.call(this,b,c);this.expresion=this.parseExpression()};a.extend(a.Curve3D,a.Graphic3D);a.Curve3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();d=evaluator.getVariable("x");b=evaluator.getVariable("y");h=evaluator.getVariable("z");c=evaluator.getVariable("u");evaluator.setVariable("u",
0);g=evaluator.evalExpression(this.Nu);e=[];for(var l=0;l<=g;l++){evaluator.setVariable("u",l/g);for(var f=0,k=this.expresion.length;f<k;f++)evaluator.evalExpression(this.expresion[f]);e.push(this.transformVertex(new a.Vector4D(evaluator.getVariable("x"),evaluator.getVariable("y"),evaluator.getVariable("z"),1)))}l=0;for(f=e.length-1;l<f;l++)this.primitives.push(new a.Primitive3D({vertices:[e[l],e[l+1]],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.evalExpression(this.width)},this.space));
evaluator.setVariable("x",d);evaluator.setVariable("y",h);evaluator.setVariable("z",b);evaluator.setVariable("u",c)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k;a.Triangle3D=function(b,c){a.Graphic3D.call(this,b,c)};a.extend(a.Triangle3D,a.Graphic3D);a.Triangle3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.evalExpression(this.expresion);e=expr[0][0];g=expr[0][1];c=expr[0][2];d=expr[1][0];b=expr[1][1];
h=expr[1][2];l=expr[2][0];f=expr[2][1];k=expr[2][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(e,g,c,1)),this.transformVertex(new a.Vector4D(l,f,k,1)),this.transformVertex(new a.Vector4D(d,b,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 e;a.Face3D=function(e,c){a.Graphic3D.call(this,e,c)};
a.extend(a.Face3D,a.Graphic3D);a.Face3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.evalExpression(this.expresion);e=[];for(var g=expr.length-1;0<=g;g--)e.push(this.transformVertex(new a.Vector4D(expr[g][0],expr[g][1],expr[g][2],1)));this.primitives.push(new a.Primitive3D({vertices:e,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 e,g,c,d,b;a.Polireg3D=function(b,c){this.width=b.evaluator.parser.parse("2");this.length=b.evaluator.parser.parse("2");a.Graphic3D.call(this,b,c)};a.extend(a.Polireg3D,a.Graphic3D);a.Polireg3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();e=evaluator.evalExpression(this.Nu);g=[this.transformVertex(new a.Vector4D(0,0,0,1))];c=evaluator.evalExpression(this.width)/2;d=evaluator.evalExpression(this.length)/2;b=2*Math.PI/e;for(var h=
0;h<e;h++)g.push(this.transformVertex(new a.Vector4D(c*Math.cos(b*h),d*Math.sin(b*h),0,1)));for(h=0;h<e;h++)this.primitives.push(new a.Primitive3D({vertices:[g[0],h+2<=e?g[h+2]:g[1],g[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 e,g,c,d;a.Text3D=function(b,c){a.Graphic3D.call(this,b,c)};a.extend(a.Text3D,a.Graphic3D);a.Text3D.prototype.buildPrimitives=
function(){e=this.evaluator;g=e.evalExpression(this.expresion);c=g[0][0];d=g[0][1];this.primitives.push(new a.Primitive3D({vertices:[new a.Vector4D(c,d,0,1)],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:e.evalExpression(this.decimals),fixed:this.fixed,displace:0,isText:!0,evaluator:e,text:this.text,family:this.family,familyValue:this.familyValue,joel:"hola"},this.space))};return a}(descartesJS||{}),descartesJS=function(a,e){if(a.loadLib)return a;var g=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,
c,d;a.Macro3D=function(b,c){this.expresion=void 0;this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=b.evaluator.parser.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=b.evaluator.parser.parse("(0,0,0)");a.Graphic.call(this,b,c);for(var l in c)c.hasOwnProperty(l)&&(this[l]=c[l]);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=[];l=b.lessonParser;var f=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 d=this.evaluator.evalExpression(this.expresion),r;d&&((r=document.getElementById(d))&&"descartes/macro"==r.type?r=r.text:(r=a.openExternalFile(d))&&!r.match(/tipo_de_macro/g)&&(r=null));var m,s;if(r){s=r.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");r=[];for(var d=0,q=s.length;d<q;d++)m=s[d].indexOf("="),-1!==m&&(m=s[d].substring(0,m),"id"!==e[m]&&"type"!==e[m]||r.push(l.split(s[d])));for(var u,n,v,p,d=0,q=r.length;d<q;d++)for(p=(u=r[d]||[],u[0])&&"id"===u[0][0],s=0,m=u.length;s<m;s++)if(n=
u[s][0].indexOf("."),-1===n||p?n=e[u[s][0]]:(n=e[u[s][0].substring(n+1)],u[s][0]=this.name+"."+u[s][0]),!("font"===n||("fill"===n||"color"===n||"backcolor"===n||"arrow"===n)&&"("!==u[s][1].charAt(0)||"file"===n&&u[s][1].match(g)||"id"!==n&&void 0!==e[u[s][1]])||"width"===n||"height"===n||"length"===n)if("text"==n)if(u[s][1].match(/\{\\rtf1/)){n=u[s][1];var t=this;v=function(a,b){for(var c=f.tokenize(b.replace(/\&squot;/g,"'")),e=0,d=c.length;e<d;e++)"identifier"!=c[e].type||"-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-".match("-"+
c[e].value+"-")||(c[e].value=t.name+"."+c[e].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+f.flatTokens(c)};n=n.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,v);n=n.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,v);u[s][1]=n}else{v=l.parseText(u[s][1]).textElementsMacro3Ds;for(var w=0,z=v.length;w<z;w++){n=f.tokenize(v[w].replace(/\&squot;/g,"'"));for(var B=0,y=n.length;B<y;B++)"identifier"!==n[B].type||"-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-".match("-"+
n[B].value+"-")||(n[B].value=this.name+"."+n[B].value);n=f.flatTokens(n).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");v[w]=n.substring(1,n.length-1)}u[s][1]=v.join("")}else{n=f.tokenize(u[s][1]);v=0;for(w=n.length;v<w;v++)"identifier"!==n[v].type||"-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-".match("-"+n[v].value+"-")||(n[v].value=this.name+"."+n[v].value);u[s][1]=f.flatTokens(n)}d=
0;for(q=r.length;d<q;d++)if(r[d][0]){u="";p=!1;s=0;for(m=r[d].length;s<m;s++)"type"===e[r[d][s][0]]&&(u="espacio='"+this.spaceID+"' ",p=!0),u=u+r[d][s][0]+"='"+r[d][s][1]+"' ";r[d]=u;p?this.graphics.push(l.parse3DGraphic(r[d],this.abs_coord,this.background,this.inirot)):l.parseAuxiliar(r[d])}}d=0;for(q=this.graphics.length;d<q;d++)this.graphics[d].macroChildren=!0}};a.extend(a.Macro3D,a.Graphic);a.Macro3D.prototype.update=function(){this.updateTransformation();if(this.inipos){var a=this.evaluator.evalExpression(this.inipos);
this.iniPosX=a[0][0];this.iniPosY=a[0][1]}this.primitives=[];for(var a=0,e=this.graphics.length;a<e;a++)c=this.graphics[a],c.macro_inirotEuler=this.inirotEuler,c.macro_inirotM=this.inirotM,c.macro_inirotM_X=this.inirotM_X,c.macro_inirotM_Y=this.inirotM_Y,c.macro_inirotM_Z=this.inirotM_Z,c.macro_iniposM=this.iniposM,c.macro_endrotEuler=this.endrotEuler,c.macro_endrotM=this.endrotM,c.macro_endrotM_X=this.endrotM_X,c.macro_endrotM_Y=this.endrotM_Y,c.macro_endrotM_Z=this.endrotM_Z,c.macro_endposM=this.endposM,
c.update();a=0;for(e=this.graphics.length;a<e;a++){c=this.graphics[a];if(c.split||this.split)for(var l=a+1;l<e;l++)d=this.graphics[l],(d.split||this.split)&&c.splitFace(d);this.primitives=this.primitives.concat(c.primitives||[])}};a.Macro3D.prototype.updateTransformation=function(){tmpExpr=this.evaluator.evalExpression(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.evalExpression(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.evalExpression(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.evalExpression(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 e(a,b,c,f,e){g.call(this,a/1.8,a/1.8,a/1.8,f,e)}function g(a,b,c,f,e){a/=2;b/=2;c/=2;this.changeGeometry(a,b,c,f,e)||(this.vertices=[new n(a,c,b,1),new n(a,-c,b,1),new n(a,c,-b,1),new n(a,-c,-b,1),new n(-a,c,b,1),new n(-a,-c,b,1),new n(-a,c,-b,1),new n(-a,-c,-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,c,f,e))}function c(a,b,c,f,e){a/=2;this.changeGeometry(a,b,c,f,e)||(this.vertices=[new n(0,0,a,1),new n(-.49*a,-.86*a,-.32*a,1),new n(-.49*a,.86*a,-.32*a,1),new n(1*a,0,-.32*a,1)],this.faces=[[3,2,1],[1,2,0],[2,3,0],[3,1,0]],this.updateValues(a,b,c,f,e))}function d(a,b,c,f,e){a/=2;this.changeGeometry(a,b,c,f,e)||(this.vertices=[new n(0,0,a,1),new n(a,0,0,1),new n(-a,0,0,1),new n(0,a,0,1),new n(0,-a,0,1),new n(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,c,f,e))}function b(b,c,f,e,d){b/=3.4;if(!this.changeGeometry(b,c,f,e,d)){D=b/1.6180339887;E=1.6180339887*b;this.vertices=[new n(b,b,b,1),new n(b,b,-b,1),new n(b,-b,b,1),new n(b,-b,-b,1),new n(-b,b,b,1),new n(-b,b,-b,1),new n(-b,-b,b,1),new n(-b,-b,-b,1),new n(0,D,E,1),new n(0,D,-E,1),new n(0,-D,E,1),new n(0,-D,-E,1),new n(D,E,0,1),new n(D,-E,0,1),new n(-D,E,0,1),new n(-D,-E,0,1),new n(E,0,D,1),
new n(E,0,-D,1),new n(-E,0,D,1),new n(-E,0,-D,1)];C=(new a.Matrix4x4).setIdentity().rotateY(-q/6);for(var l=0,m=this.vertices.length;l<m;l++)this.vertices[l]=C.multiplyVector4(this.vertices[l]);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,c,f,e,d)}}function h(b,c,f,e,d){b/=4;if(!this.changeGeometry(b,c,f,e,d)){E=1.6180339887*b;this.vertices=
[new n(0,b,E,1),new n(0,b,-E,1),new n(0,-b,E,1),new n(0,-b,-E,1),new n(b,E,0,1),new n(b,-E,0,1),new n(-b,E,0,1),new n(-b,-E,0,1),new n(E,0,b,1),new n(E,0,-b,1),new n(-E,0,b,1),new n(-E,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]];C=(new a.Matrix4x4).setIdentity().rotateY(-1.029);for(var l=0,m=this.vertices.length;l<m;l++)this.vertices[l]=C.multiplyVector4(this.vertices[l]);
this.updateValues(b,c,f,e,d)}}function l(a,b,c,f,e){a/=2;this.isSphere?c=b=a:(b/=2,c/=2);if(!this.changeGeometry(a,b,c,f,e)){this.vertices=[new n(0,0,b,1)];for(var d=1;d<f;d++){y=d*q/f;for(var l=0;l<e;l++)B=l*u/e,t=a*m(y)*s(B),w=c*m(y)*m(B),z=b*s(y),this.vertices.push(new n(t,w,z,1))}this.vertices.push(new n(0,0,-b,1));this.faces=[];for(d=0;d<e;d++)this.faces.push([0,(d+1)%e+1,d%e+1]);for(d=1;d<f-1;d++)for(l=0;l<e;l++)this.faces.push([l+1+(d-1)*e,(l+1)%e+1+(d-1)*e,(l+1)%e+1+d*e,l+1+d*e]);for(d=0;d<
e;d++)this.faces.push([this.vertices.length-1,this.vertices.length-1-e+d,this.vertices.length-1-e+(d+1)%e]);this.updateValues(a,b,c,f,e)}}function f(a,b,c,f,e){a/=2;b/=2;c/=2;if(!this.changeGeometry(a,b,c,f,e)){this.vertices=[];for(var d=0;d<e;d++)for(var l=0;l<f;l++)t=a*(e-d)/e*s(l*u/f),w=c*(e-d)/e*m(l*u/f),z=b-2*d*b/e,this.vertices.push(new n(t,w,z,1));this.vertices.push(new n(0,0,-b,1));this.faces=[];for(d=0;d<e-1;d++)for(l=0;l<f;l++)this.faces.push([l+d*f,(l+1)%f+d*f,(l+1)%f+(d+1)*f,l+(d+1)*f]);
for(d=0;d<f;d++)this.faces.push([this.vertices.length-1,this.vertices.length-1-f+d,this.vertices.length-1-f+(d+1)%f]);this.updateValues(a,b,c,f,e)}}function k(a,b,c,f,e){a/=2;b/=2;c/=2;if(!this.changeGeometry(a,b,c,f,e)){this.vertices=[];for(var d=0;d<e+1;d++)for(var l=0;l<f;l++)t=a*s(l*u/f),w=c*m(l*u/f),z=b-2*d*b/e,this.vertices.push(new n(t,w,z,1));this.faces=[];for(d=0;d<e;d++)for(l=0;l<f;l++)this.faces.push([l+d*f,(l+1)%f+d*f,(l+1)%f+(d+1)*f,l+(d+1)*f]);this.updateValues(a,b,c,f,e)}}function r(){function a(b){return parseInt(b)}
function b(a){return parseFloat(a)}this.vertices=[];this.faces=[];for(var c=0,f=this.fileData.length;c<f;c++)A=this.fileData[c],A.match(/^V\(/)?(I=A.substring(2,A.length-1).split(",").map(b),this.vertices.push(new n(I[0]||0,I[1]||0,I[2]||0,1))):A.match(/^F\(/)&&(I=A.substring(2,A.length-1).split(",").map(a),this.faces.push(I.reverse()))}if(a.loadLib)return a;var m=Math.sin,s=Math.cos,q=Math.PI,u=2*q,n,v,p,t,w,z,B,y,D,E,C,A,I;a.OtherGeometry=function(m,q){this.width=m.evaluator.parser.parse("2");this.height=
m.evaluator.parser.parse("2");this.length=m.evaluator.parser.parse("2");n=a.Vector4D;a.Graphic3D.call(this,m,q);switch(this.type){case "cube":this.buildGeometry=e;break;case "box":this.buildGeometry=g;break;case "tetrahedron":this.buildGeometry=c;break;case "octahedron":this.buildGeometry=d;break;case "sphere":this.isSphere=!0;case "ellipsoid":this.buildGeometry=l;break;case "dodecahedron":this.buildGeometry=b;break;case "icosahedron":this.buildGeometry=h;break;case "cone":this.buildGeometry=f;break;
case "cylinder":this.buildGeometry=k;break;case "mesh":this.fileData=a.openExternalFile(this.evaluator.evalExpression(this.file)).split(/\r/),this.buildGeometry=r}};a.extend(a.OtherGeometry,a.Graphic3D);a.OtherGeometry.prototype.buildPrimitives=function(){v=this.evaluator;this.updateMVMatrix();this.buildGeometry(v.evalExpression(this.width),v.evalExpression(this.height),v.evalExpression(this.length),v.evalExpression(this.Nu),v.evalExpression(this.Nv));for(var b=0,c=this.faces.length;b<c;b++){p=[];
for(var f=0,e=this.faces[b].length;f<e;f++)p.push(this.transformVertex(this.vertices[this.faces[b][f]]));this.primitives.push(new a.Primitive3D({vertices:p,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,c,f,e){return this.oldWidth===a&&this.oldHeight===b&&this.oldLength===c&&this.oldNu===f&&this.oldNv===e};a.OtherGeometry.prototype.updateValues=function(a,b,c,f,
e){this.oldWidth=a;this.oldHeight=b;this.oldLength=c;this.oldNv=e;this.oldNu=f};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.max,g=Math.min,c=Math.PI,d=Math.cos,b=Math.sin,h=Math.abs,l=Math.round,f,k,r,m,s,q,u,n,v,p,t,w,z,B,y,D,E,C;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 l(e(g(this.x,32E3),
-32E3))};a.R2.prototype.iy=function(){return l(e(g(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){k=this.copy();k.sub(a);return k.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(){f=this.norm();0!=f&&this.div(f)};a.R2.prototype.rotR90=function(){f=this.x;this.x=this.y;this.y=-f};a.R2.prototype.rotL90=function(){f=this.x;this.x=-this.y;this.y=f};a.R2.prototype.rot=function(a){r=this.copy();q=d(a);u=b(a);this.x=r.x*q-r.y*u;this.y=r.x*u+r.y*q};a.R2.prototype.rot=function(a){this.rot(a*
c/180)};a.R2.prototype.intersection=function(b,c,f,d){n=c.x-b.x;v=f.x-d.x;p=f.x-b.x;t=c.y-b.y;w=f.y-d.y;z=f.y-b.y;C=n*w-v*t;return 1E-6<h(C)?(m=(p*w-z*v)/C,s=(-p*t+z*n)/C,0<=m&&1>=m&&0<=s&&1>=s?new a.R2(b.x+n*m,b.y+t*m):null):(c.x-f.x)*z!=(c.y-f.y)*p?null:b.x!=c.x?(B=g(b.x,c.x),y=e(b.x,c.x),B<=f.x&&f.x<=y?f:B<=d.x&&d.x<=y?d:null):f.x!=d.x?(D=g(f.x,d.x),E=e(f.x,d.x),D<=b.x&&b.x<=E?b:D<=c.x&&c.x<=E?c:null):b.y!=c.y?(B=g(b.y,c.y),y=e(b.y,c.y),B<=f.y&&f.y<=y?f:B<=d.y&&d.y<=y?d:null):f.y!=d.y?(D=g(f.y,
d.y),E=e(f.y,d.y),D<=b.y&&b.y<=E?b:D<=c.y&&c.y<=E?c:null):b.x==f.x&&b.y==f.y?b:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k;a.R2Newton=function(c,f){this.evaluator=c;this.constraint=f;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);b=new a.R2(0,0);k=new a.R2(0,0)};a.R2Newton.prototype.getUnitNormal=function(){this.normal.normalize();return k.set(this.normal.x,this.normal.y)};a.R2Newton.prototype.gradient=function(a){e=this.evaluator;h.x=0;h.y=0;l=e.getVariable("x");f=e.getVariable("y");e.setVariable("x",a.x);e.setVariable("y",a.y);this.f0=e.evalExpression(this.constraint);e.setVariable("x",e.getVariable("x")+
1E-6);g=e.evalExpression(this.constraint);h.x=(g-this.f0)/1E-6;h.x=isNaN(h.x)?Infinity:h.x;e.setVariable("x",e.getVariable("x")-1E-6);e.setVariable("y",e.getVariable("y")+1E-6);g=e.evalExpression(this.constraint);h.y=(g-this.f0)/1E-6;h.y=isNaN(h.y)?Infinity:h.y;e.setVariable("x",l);e.setVariable("y",f);return h};a.R2Newton.prototype.findZero=function(a,m,h){e=this.evaluator;b.x=a.x;b.y=a.y;l=e.getVariable("x");f=e.getVariable("y");e.setVariable("x",a.x);e.setVariable("y",a.y);this.f0=e.evalExpression(this.constraint);
if("menor"===this.sign&&0>=this.f0||"mayor"===this.sign&&0<=this.f0)return b;e.setVariable("x",l);e.setVariable("y",f);for(var g=0;16>g;g++)if(c=b.x,d=b.y,this.normal=this.gradient(b),0!=this.normal.norm2()&&this.normal.mul(-this.f0/this.normal.norm2()),b.x=c+this.normal.x,b.y=d+this.normal.y,this.normal.norm()<m)return 0===this.normal.x&&0===this.normal.y&&(this.normal.x=b.x-a.x,this.normal.y=b.y-a.y),b;return h?b:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Vector2D=
function(a,g){this.x=a;this.y=g};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 e=Math.floor,g=Math.round,
c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z,B,y;a.Control=function(b,c){this.parent=b;this.evaluator=b.evaluator;var f=this.parser=b.evaluator.parser;this.id="graphic"!==c.type?"C":"G";this.gui=this.type="";this.region="south";this.y=this.x=0;this.w="video"!==c.type?100:350;this.h="video"!==c.type?23:120;"graphic"!==c.type&&"audio"!==c.type&&"video"!==c.type?"text"!==c.type?this.expresion=f.parse("(0,0,100,23)"):(this.expresion=f.parse("(0,0,300,200)"),this.w=300,this.h=200):this.expresion=f.parse("(0,0)");
this.fixed=2!=this.parent.version?!1:!0;this.visible=!0;this.color=4>this.parent.version?new a.Color("000000"):new a.Color("222222");this.colorInt="graphic"!==c.type?new a.Color("f0f8ff"):new a.Color("cc0022");this.underlined=this.italics=this.bold="";this.font_size=4>this.parent.version?-1:f.parse("12");this.parameter=this.action="";this.parameterFont="Monospace 12px";this.drawif=f.parse("1");this.activeif=f.parse("1");this.tooltip="";this.tooltipFont="Monospace 12px";this.Explanation="";this.ExplanationFont=
"Monospace 12px";this.cID=this.msg_pos="";this.valueExpr=f.parse("0");this.decimals=f.parse("2");this.min=f.parse("-Infinity");this.max=f.parse("Infinity");this.incr=f.parse("0.1");this.exponentialif=this.discrete=!1;this.zIndex=-1;for(var e in c)c.hasOwnProperty(e)&&(this[e]=c[e]);"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;f=this.evaluator.evalExpression(this.expresion);this.x=g(f[0][0]);this.y=g(f[0][1]);4==f[0].length&&(this.w=g(f[0][2]),this.h=g(f[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 c=0,f=a.length;c<f;c++){if(b=a[c],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.scenarioRegion.scenarioSpace.addCtr(this),this.zIndex=this.parent.scenarioRegion.scenarioSpace.zIndex,this.parent.scenarioRegion.scenarioSpace.numericalControlContainer):this.parent.externalSpace.container;
if("north"===this.region)return this.parent.northSpace.controls.push(this),this.parent.northSpace.container;if("south"===this.region)return this.parent.southSpace.controls.push(this),this.parent.southSpace.container;if("east"===this.region)return this.parent.eastSpace.controls.push(this),this.parent.eastSpace.container;if("west"===this.region)return this.parent.westSpace.controls.push(this),this.parent.westSpace.container;if("special"===this.region)return this.parent.specialSpace.controls.push(this),
this.parent.specialSpace.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);b.childNodes[0]?b.insertBefore(a,b.childNodes[0]):b.appendChild(a)};a.Control.prototype.updatePositionAndSize=function(){b=h=l=f=!1;k=this.evaluator.evalExpression(this.expresion);r=g(k[0][0]);b=g(this.x)!==r;this.x=r;r=g(k[0][1]);h=g(this.y)!==
r;this.y=r;4===k[0].length&&(r=g(k[0][2]),l=g(this.w)!==r,this.w=r,r=g(k[0][3]),f=g(this.h)!==r,this.h=r);if(l||f||b||h)this.init(!0),this.draw()};a.Control.prototype.formatOutputValue=function(a){n=this.parent;m=a+"";s=this.evaluator.evalExpression(this.decimals);q=m.indexOf(".");-1!=q&&(u=m.substring(q+1),u.length>s&&(m=parseFloat(m).toFixed(s)));this.fixed&&(2!==n.version||2===n.version&&!this.exponentialif)&&(m=parseFloat(a).toFixed(s));this.exponentialif&&0!=parseFloat(m)&&(m=this.fixed&&2!==
n.version?parseFloat(m).toExponential(s):parseFloat(m).toExponential(),m=m.toUpperCase(),m=m.replace("+",""));return m=m.replace(".",n.decimal_symbol)};a.Control.prototype.updateAndExecAction=function(){this.parent.updateControls();"init"===this.action&&(this.click=!1);this.actionExec.execute();"animate"!==this.action&&this.parent.update()};a.Control.prototype.createGradient=function(a,b){this.linearGradient=this.ctx.createLinearGradient(0,0,0,b);c=b*b;for(var f=0;f<b;f++)d=e(f-35*b/100),this.linearGradient.addColorStop(f/
b,"rgba(0,0,0,"+d*d*192/c/255+")")};a.Control.prototype.getScreenshot=function(){t=this;v=document.createElement("canvas");v.setAttribute("width",t.w);v.setAttribute("height",t.h);p=v.getContext("2d");p.font=t.fieldFontSize+"px Arial, Helvetica, 'Droid Sans', Sans-serif";t.canvas&&(w=t.canvas.offsetLeft,z=t.canvas.offsetTop,p.drawImage(t.canvas,w,z));t.label&&(w=t.label.offsetLeft,z=t.label.offsetTop,B=t.label.offsetWidth,y=t.label.offsetHeight,p.fillStyle="#e0e4e8",p.fillRect(w,z,B,y),p.fillStyle=
"black",p.textAlign="center",p.textBaseline="middle",p.fillText(t.name,w+B/2,z+y/2));t.field&&(w=t.field.offsetLeft,z=t.field.offsetTop,B=t.field.offsetWidth,y=t.field.offsetHeight,p.fillStyle="white",p.strokeStyle="#666666",p.lineWidth=1,p.fillRect(w,0,B,y),p.strokeRect(w+.5,.5,B-1,y-1),p.fillStyle="black",p.textAlign="center",p.textAlign="left",p.fillText(t.field.value,w+2,y/2));t.select&&(w=t.select.offsetLeft,z=t.select.offsetTop,B=t.select.offsetWidth,y=t.select.offsetHeight,p.fillStyle="#e0e4e8",
p.strokeStyle="#666666",p.lineWidth=1,p.fillRect(w,0,B,y),p.strokeRect(w+.5,.5,B,y-1),p.fillStyle="black",p.textAlign="center",p.textAlign="left",p.fillText(t.select.value,w+2,y/2),p.fillStyle="#c0c0c0",p.fillRect(w+B-15+.5,.5,15,y-1),p.strokeRect(w+B-15+.5,.5,15,y-1),p.fillStyle="black",p.beginPath(),p.moveTo(w+B-15+4.5,y/2-2.5),p.lineTo(w+B-15+8,y/2+2.5),p.lineTo(w+B-15+11.5,y/2-2.5),p.closePath(),p.fill());return v};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=
Math.floor,g=Math.abs,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z,B,y;a.Button=function(b,c){this.imageSrc="";this.image=new Image;this.imageOver=new Image;this.imageDown=new Image;a.Control.call(this,b,c);-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 f;this.imageSrc.match("_COLORES_")&&(f=this.imageSrc.split("_"),this.colorInt=
new a.Color(f[2]),this.color=new a.Color(f[3]),this.font_size=this.parser.parse(f[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+"'");f=this.evaluator.evalExpression(this.imageSrc).toString().trim();if(""!=f){var e=f.substr(0,f.lastIndexOf(".")),d=f.substr(f.lastIndexOf("."));f.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(f),e&&(this.imageOver=this.parent.getImage(e+"_over"+d),this.imageDown=this.parent.getImage(e+"_down"+d)))}this.container=document.createElement("div");this.container.setAttribute("class","DescartesButtonContainer");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*a._ratio;this.canvas.height=this.h*a._ratio;this.canvas.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px;");this.ctx=this.canvas.getContext("2d");this.ctx.imageSmoothingEnabled=!1;this.ctx.mozImageSmoothingEnabled=!1;this.ctx.webkitImageSmoothingEnabled=!1;this.container.appendChild(this.canvas);this.addControlContainer(this.container);
this.registerMouseAndTouchEvents();this.init()};a.extend(a.Button,a.Control);a.Button.prototype.init=function(){c=this.evaluator;y=this.container;d=this.canvas;h=c.evalExpression(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]));d.width=this.w*a._ratio;d.height=this.h*a._ratio;d.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px;");y.setAttribute("style","width:"+this.w+"px; height:"+this.h+
"px; left:"+this.x+"px; top:"+this.y+"px; z-index:"+this.zIndex+"; display:block;");this.fontSizeNotSet&&(this.font_size=c.parser.parse(a.getFieldFontSize(this.h)+""));this.createGradient(this.w,this.h);y.style.display=0<c.evalExpression(this.drawif)?"block":"none";y.setAttribute("data-color",this.colorInt.getColor())};a.Button.prototype.update=function(){c=this.evaluator;y=this.container;d=this.canvas;this.activeIfValue=0<c.evalExpression(this.activeif);(this.drawIfValue=0<c.evalExpression(this.drawif))?
(y.style.display="block",this.draw()):(y.style.display="none",this.buttonClick=!1);y.style.cursor=this.activeIfValue?"pointer":"not-allowed";d.style.cursor=this.activeIfValue?"pointer":"not-allowed";y.setAttribute("data-active",this.activeIfValue?"true":"false");this.updatePositionAndSize()};a.Button.prototype.draw=function(){y=this.container;c=this.evaluator;b=this.ctx;b.save();b.setTransform(a._ratio,0,0,a._ratio,0,0);l=c.evalExpression(this.font_size);f=c.evalExpression(this.name);y.setAttribute("data-name",
f);k=c.evalExpression(this.imageSrc);r="vacio.gif"===k?this.emptyImage:this.parent.getImage(k);var d=k.substr(0,k.lastIndexOf(".")),g=k.substr(k.lastIndexOf(".")),h=d+"_over"+g,d=d+"_down"+g,g="vacio.gif"===k?this.emptyImage:this.parent.getImage(h),u="vacio.gif"===k?this.emptyImage:this.parent.getImage(d);b.clearRect(0,0,this.w,this.h);s=m=0;this.buttonClick&&(s=m=1);p=e(this.w/2+m)-.5;t=e(this.h/2+s)-.5;r&&(w=r.height||1E8,z=a.getFontMetrics(this.italics+" "+this.bold+" "+l+"px descartesJS_sansserif, Arial, Helvetica, Sans-serif").h,
B=""!=f?0<=this.h-w-z-2?!0:!1:!1,n=parseInt((this.w-r.width)/2)+m,v=B?parseInt((this.h-z-r.height+2)/2):parseInt((this.h-r.height)/2)+s,B&&(t=parseInt(this.h-z/2-2),y.style.backgroundColor=this.colorInt.getColor(),b.strokeStyle=this.color.getColor(),b.lineWidth=1,b.beginPath(),b.moveTo(.5,.5),b.lineTo(this.w-.5,.5),b.lineTo(this.w-.5,this.h-.5),b.lineTo(.5,this.h-.5),b.closePath(),b.stroke()));r&&r.ready?r!==this.emptyImage&&r.complete&&(y.style.backgroundImage="url('"+k+"')",y.style.backgroundPosition=
n+"px "+v+"px"):(y.style.backgroundColor=this.colorInt.getColor(),this.buttonClick||(a.drawLine(b,this.w-1,0,this.w-1,this.h,"rgba(0,0,0,"+128/255+")"),a.drawLine(b,0,0,0,this.h,"rgba(0,0,0,"+24/255+")"),a.drawLine(b,1,0,1,this.h,"rgba(0,0,0,"+8/255+")")),b.fillStyle=this.linearGradient,b.fillRect(0,0,this.w,this.h));this.activeIfValue&&g!==this.emptyImage&&g.ready&&this.over&&(y.style.backgroundImage="url('"+h+"')",y.style.backgroundPosition=n+"px "+v+"px");this.activeIfValue&&u!==this.emptyImage&&
u.ready&&this.buttonClick?(y.style.backgroundImage="url('"+d+"')",y.style.backgroundPosition=n+"px "+v+"px"):this.buttonClick&&!r&&(b.fillStyle="rgba(0, 0, 0,"+24/255+")",b.fillRect(0,0,this.w,this.h));b.fillStyle=this.color.getColor();b.font=this.italics+" "+this.bold+" "+l+"px Arial";b.textAlign="center";b.textBaseline="middle";!r&&this.drawTextBorder()&&(b.lineJoin="round",b.lineWidth=parseInt(l/6),b.strokeStyle=this.colorInt.getColor(),b.strokeText(f,p,t));b.fillText(f,p,t);this.underlined&&(q=
b.measureText(f).width,b.strokeStyle=this.color.getColor(),b.lineWidth=e(l/10)||2,b.lineCap="round",b.beginPath(),b.moveTo(parseInt((this.w-q)/2)+m,t+e(l/2)+e(l/5)-1.5),b.lineTo(parseInt((this.w+q)/2)+m,t+e(l/2)+e(l/5)-1.5),b.stroke());this.activeIfValue||(b.fillStyle="rgba(240,240,240,"+160/255+")",b.fillRect(0,0,this.w,this.h));b.restore()};a.Button.prototype.drawTextBorder=function(){this.colorInt.getColor();this.color.getColor();return!(.5>(g(this.colorInt.r-this.color.r)+g(this.colorInt.g-this.color.g)+
g(this.colorInt.b-this.color.b))/255)};a.Button.prototype.buttonPressed=function(){this.updateAndExecAction()};a.Button.prototype.registerMouseAndTouchEvents=function(){function b(a,c,f){clearInterval(m);l.buttonClick&&l.drawIfValue&&l.activeIfValue&&(c.call(l),a=f?a:100,m=setTimeout(function(){b(a,c)},a))}function c(e){document.body.focus();e.preventDefault();e.stopPropagation();document.activeElement!=document.body&&document.activeElement.blur();l.whichButton=a.whichButton(e);"L"==l.whichButton&&
l.activeIfValue&&(l.buttonClick=!0,l.draw(),l.evaluator.setVariable(l.id,l.evaluator.evalExpression(l.valueExpr)),"calculate"==l.action&&b(2E3,l.buttonPressed,!0),u?(l.canvas.removeEventListener("touchend",f),l.canvas.addEventListener("touchend",f)):(l.canvas.removeEventListener("mouseup",f),l.canvas.addEventListener("mouseup",f)))}function f(a){document.body.focus();a.preventDefault();a.stopPropagation();if(l.activeIfValue||l.buttonClick)l.buttonClick=!1,l.draw(),"calculate"!=l.action&&l.buttonPressed(),
u?l.canvas.removeEventListener("touchend",f):l.canvas.removeEventListener("mouseup",f)}function e(a){a.preventDefault();a.stopPropagation();l.over=!0;l.draw()}function d(a){a.preventDefault();a.stopPropagation();l.over=!1;l.buttonClick=!1;l.draw()}u=a.hasTouchSupport;var l=this,m;l.canvas.oncontextmenu=function(){return!1};this.over=this.buttonClick=!1;u?this.canvas.addEventListener("touchstart",c):(this.canvas.addEventListener("mousedown",c),this.canvas.addEventListener("mouseover",e),this.canvas.addEventListener("mouseout",
d))};a.Button.prototype.getScreenshot=function(){return this.canvas};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t;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);
t=this.evaluator.parser.parse("1");this.originalIncr=this.incr;if(0>=this.evaluator.evalExpression(this.decimals)||0==this.evaluator.evalExpression(this.incr)){var f=this.evaluator.evalExpression(this.incr);0<f?this.originalIncr=this.incr=this.evaluator.parser.parse(parseInt(f).toString()):this.incr=t}this.registerMouseAndTouchEvents();this.init()};a.extend(a.Spinner,a.Control);a.Spinner.prototype.init=function(){e=this.evaluator;var b=e.evalExpression(this.name).toString();this.label.innerHTML=b;
this.value=this.validateValue(e.evalExpression(this.valueExpr));var c=this.formatOutputValue(this.value);this.fieldFontSize=2!==this.parent.version?a.getFieldFontSize(this.h):10;var f=2!==this.parent.version?"":"_____",d=a.getTextWidth(c+"_",this.fieldFontSize+"px Arial"),l=2+parseInt(this.h/2),m=parseInt(this.w/2-l/2),f=a.getTextWidth(b+f,this.fieldFontSize+"px Arial");this.visible||(m=this.w-l,d=0);m<f&&(m=f);""==b&&(m=0);this.w-m-l<d&&(m=this.w-l-d);0>m&&(m=0);b=this.w-(m+l);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",l+"px");this.canvas.setAttribute("height",this.h+"px");this.canvas.setAttribute("style","position: absolute; left: "+m+"px; top: 0px;");this.ctx=this.canvas.getContext("2d");this.divUp.setAttribute("class","up");this.divUp.setAttribute("style",
"background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+l+"px; height : "+this.h/2+"px; left: "+m+"px; top: 0px;");this.divDown.setAttribute("class","down");this.divDown.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+l+"px; height : "+this.h/2+"px; left: "+m+"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: "+(l+m)+"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: "+m+"px; height: "+this.h+"px; line-height: "+this.h+"px;");e.setVariable(this.id,
this.value);this.createGradient(this.h/2,this.h)};a.Spinner.prototype.update=function(){e=this.evaluator;this.label.innerHTML=e.evalExpression(this.name).toString();0>=e.evalExpression(this.decimals)?(g=e.evalExpression(this.incr),0<g?this.originalIncr=this.incr=e.parser.parse(parseInt(g).toString()):this.incr=t):this.incr=0!=e.evalExpression(this.originalIncr)?this.originalIncr:t;this.activeIfValue=0<e.evalExpression(this.activeif);this.drawIfValue=0<e.evalExpression(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||(c=this.field.value,d=this.value,this.value=this.validateValue(e.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),this.value==d&&this.field.value!=c&&(this.value=this.validateValue(c),this.field.value=this.formatOutputValue(this.value)),
e.setVariable(this.id,this.value))};a.Spinner.prototype.draw=function(){b=this.ctx;h=this.canvas.width;l=this.canvas.height;b.fillStyle="#f0f8ff";b.fillRect(0,0,h,l);b.fillStyle=this.linearGradient;b.fillRect(0,0,h,l);this.up?(f="gray",k="#f0f8ff"):(f="#f0f8ff",k="gray");a.drawLine(b,0,0,h,0,f);a.drawLine(b,0,0,0,l/2,f);a.drawLine(b,0,l/2,h,l/2,k);this.down?(f="gray",k="#f0f8ff"):(f="#f0f8ff",k="gray");a.drawLine(b,0,l/2+1,h,l/2+1,f);a.drawLine(b,0,l/2+1,0,l,f);a.drawLine(b,0,l-1,h,l-1,k);r=[parseInt(h/
2+1),parseInt(h/5+1),parseInt(h-h/5+1)];m=[parseInt(l/8+1),parseInt(l/8+1+l/4),parseInt(l/8+1+l/4)];b.fillStyle=this.activeIfValue?"#2244cc":"#8888aa";b.beginPath();b.moveTo(r[0],m[0]);b.lineTo(r[1],m[1]);b.lineTo(r[2],m[2]);b.fill();m=[parseInt(l-l/8),parseInt(l-l/8-l/4),parseInt(l-l/8-l/4)];b.fillStyle=this.activeIfValue?"#d00018":"#aa8888";b.beginPath();b.moveTo(r[0],m[0]);b.lineTo(r[1],m[1]);b.lineTo(r[2],m[2]);b.fill();b.fillStyle="rgba(0,0,0,"+24/255+")";this.up&&b.fillRect(0,0,h,l/2);this.down&&
b.fillRect(0,l/2,h,l)};a.Spinner.prototype.validateValue=function(a){e=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,".");s=a==parseFloat(a)?parseFloat(a):parseFloat(e.evalExpression(e.parser.parse(a)));isNaN(s)&&(s=0);n=e.evalExpression(this.min);v=e.evalExpression(this.max);""===n&&(n=-Infinity);""===v&&(v=Infinity);s<n&&(s=n);s>v&&(s=v);this.discrete&&(q=e.evalExpression(this.incr),
s=0==q?0:q*Math.round(s/q));u=e.evalExpression(this.decimals);0>=u&&(u=0);return s=parseFloat(parseFloat(s).toFixed(u))};a.Spinner.prototype.increase=function(){this.changeValue(parseFloat(this.value)+this.evaluator.evalExpression(this.incr))};a.Spinner.prototype.decrease=function(){this.changeValue(parseFloat(this.value)-this.evaluator.evalExpression(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.registerMouseAndTouchEvents=function(){function b(a,c,f){clearInterval(n);if(g.up||g.down)c.call(g),a=f?a:30,n=setTimeout(function(){b(a,c)},a)}function c(f){f.preventDefault();g.whichButton=a.whichButton(f);"L"==g.whichButton&&g.activeIfValue&&(g.up=!0,b(h,g.increase,!0),g.draw())}function f(c){c.preventDefault();g.whichButton=a.whichButton(c);"L"==g.whichButton&&g.activeIfValue&&(g.down=!0,b(h,g.decrease,
!0),g.draw())}function e(a){g.up=!1;clearInterval(n);g.draw();a.preventDefault()}function d(a){g.down=!1;clearInterval(n);g.draw();a.preventDefault()}function l(a){g.up=!1;clearInterval(n);g.draw();a.preventDefault()}function m(a){g.down=!1;clearInterval(n);g.draw();a.preventDefault()}p=a.hasTouchSupport;var g=this,h=p?500:200,n;g.divUp.oncontextmenu=g.divDown.oncontextmenu=g.field.oncontextmenu=g.label.oncontextmenu=function(){return!1};p?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&&g.changeValue(g.field.value)});p?this.divUp.addEventListener("touchstart",c):this.divUp.addEventListener("mousedown",c);p?this.divDown.addEventListener("touchstart",f):this.divDown.addEventListener("mousedown",f);p||this.divUp.addEventListener("mouseout",e);p||this.divDown.addEventListener("mouseout",d);p?(this.divUp.addEventListener("touchend",
l),window.addEventListener("touchend",l)):(this.divUp.addEventListener("mouseup",l),window.addEventListener("mouseup",l));p?(this.divDown.addEventListener("touchend",m),window.addEventListener("touchend",m)):(this.divDown.addEventListener("mouseup",m),window.addEventListener("mouseup",m));g.field.addEventListener("click",function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l;a.TextField=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.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 e=this.answerPattern.indexOf("|");this.firstAnswer=-1==e?this.answerPattern:this.answerPattern.substring(0,e)}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.registerMouseAndTouchEvents();
this.init()};a.extend(a.TextField,a.Control);a.TextField.prototype.init=function(){e=this.evaluator;var b=e.evalExpression(this.name).toString();this.label.innerHTML=b;this.value=this.validateValue(e.evalExpression(this.valueExpr));var c=this.formatOutputValue(this.value);this.fieldFontSize=a.getFieldFontSize(this.h);var d=a.getTextWidth(c+"_",this.fieldFontSize+"px Arial"),l=parseInt(this.w/2),g=a.getTextWidth(b,this.fieldFontSize+"px Arial");this.visible||(l=this.w,d=0);l<g&&(l=g);""==b&&(l=0);
this.w-l<d&&(l=this.w-d);0>l&&(l=0);b=this.w-l;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 : "+
b+"px; height : "+this.h+"px; left: "+l+"px;");this.field.setAttribute("tabindex",this.tabindex);this.field.value=c;this.label.setAttribute("class","DescartesTextFieldLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width: "+l+"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(){e=this.evaluator;this.label.innerHTML=e.evalExpression(this.name).toString();this.activeIfValue=0<e.evalExpression(this.activeif);this.drawIfValue=0<e.evalExpression(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||(g=this.field.value,c=this.value,this.value=this.validateValue(e.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),
this.value===c&&this.field.value!=g&&(this.value=this.validateValue(g),this.field.value=this.formatOutputValue(this.value)),e.setVariable(this.id,this.value))};a.TextField.prototype.validateValue=function(a){if(""===a||"''"==a)return"";e=this.evaluator;a=a.toString().replace(this.regExpDecimalSymbol,".","g");d=a==parseFloat(a)?parseFloat(a):parseFloat(e.evalExpression(e.parser.parse(a)));isNaN(d)&&(d=0);b=e.evalExpression(this.min);""==b&&(b=-Infinity);h=e.evalExpression(this.max);""==h&&(h=Infinity);
this.discrete&&(a=e.evalExpression(this.incr),d=0==a?0:a*Math.round(d/a));return d=parseFloat(parseFloat(d).toFixed(e.evalExpression(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.evalExpression(this.firstAnswer):""};a.TextField.prototype.registerMouseAndTouchEvents=function(){l=a.hasTouchSupport;var b=this;b.field.oncontextmenu=b.label.oncontextmenu=function(){return!1};
l?b.label.addEventListener("touchstart",function(a){a.preventDefault();return!1}):b.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.field.addEventListener("blur",function(a){b.changeValue(b.field.value,!0)});this.field.addEventListener("keydown",function(a){b.activeIfValue&&13==a.keyCode&&b.changeValue(b.field.value,!0)});b.field.addEventListener("click",function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var e=Math.abs,g,c,d,b,h,l,f,k,r,m,s;a.Menu=function(b,f){this.options="";a.Control.call(this,b,f);g=this.parser;c=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+"'");this.options=this.options.split(",");this.menuOptions=[];this.strValue=[];for(var e,d=0,l=this.options.length;d<l;d++)e=this.customSplit(this.options[d]),1==e.length?(this.menuOptions.push(e[0]),this.strValue.push(d.toString())):2==e.length&&(this.menuOptions.push(e[0]),""==e[1]?this.strValue.push(d.toString()):this.strValue.push(e[1]));d=0;for(l=this.menuOptions.length;d<l;d++)this.menuOptions[d].match(/^\[/)&&this.menuOptions[d].match(/\]$/)?this.menuOptions[d]=
g.parse(this.menuOptions[d].substring(1,this.menuOptions[d].length-1)):this.menuOptions[d]=g.parse("'"+this.menuOptions[d]+"'");d=0;for(l=this.strValue.length;d<l;d++)this.strValue[d].match(/^\[/)&&this.strValue[d].match(/\]$/)?this.strValue[d]=g.parse(this.strValue[d].substring(1,this.strValue[d].length-1)):this.strValue[d]=g.parse(this.strValue[d]);this.containerControl=document.createElement("div");this.label=document.createElement("label");this.select=document.createElement("select");d=0;for(l=
this.menuOptions.length;d<l;d++)e=document.createElement("option"),e.innerHTML=c.evalExpression(this.menuOptions[d]),this.select.appendChild(e);this.field=document.createElement("input");this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.select);this.visible&&this.containerControl.appendChild(this.field);this.addControlContainer(this.containerControl);this.registerMouseAndTouchEvents();this.init()};a.extend(a.Menu,a.Control);a.Menu.prototype.init=function(b){c=this.evaluator;
var f=c.evalExpression(this.name).toString();this.label.innerHTML=f;this.fieldFontSize=2!=this.parent.version?a.getFieldFontSize(this.h):10;var d=0,e=0,l=0;this.value=b?this.value:c.evalExpression(this.valueExpr);this.indexValue=this.getIndex(this.value);b=0;for(var g=this.menuOptions.length;b<g;b++)l=a.getTextWidth(c.evalExpression(this.menuOptions[b]).toString(),this.fieldFontSize+"px Arial"),l>d&&(d=l,e=b);d+=25;l=a.getTextWidth(this.formatOutputValue(c.evalExpression(this.strValue[e])),this.fieldFontSize+
"px Arial")+7;e=a.getTextWidth(f,this.fieldFontSize+"px Arial")+10;""==f&&(e=0);this.visible||(l=0);for(f=this.w-l-e;f<d&&0<e;)e--,f++;for(;f<d&&0<l;)l--,f++;for(;e+f+l+1<this.w;)f++,l++;d=e;b=d+f;l=this.w-b;g=this.formatOutputValue(c.evalExpression(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:"+e+"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: "+l+"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: "+f+"px; height: "+this.h+"px; left: "+d+"px; border: 1.5px solid #7a8a99; background-color: #eeeeee;");this.select.setAttribute("tabindex",this.tabindex);this.select.selectedIndex=this.indexValue;c.setVariable(this.id,parseFloat(g.replace(this.parent.decimal_symbol,".")));this.update()};
a.Menu.prototype.update=function(){c=this.evaluator;this.activeIfValue=0<c.evalExpression(this.activeif);this.drawIfValue=0<c.evalExpression(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");this.updatePositionAndSize();if(!this.parent.animation.playing||document.activeElement!=this.select){this.label.innerHTML=c.evalExpression(this.name).toString();
for(var a=0,b=this.menuOptions.length;a<b;a++)this.select.options[a].innerHTML=c.evalExpression(this.menuOptions[a]);this.value=c.getVariable(this.id);isNaN(this.value)&&(this.value=0);this.field.value=this.formatOutputValue(this.value);c.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)};a.Menu.prototype.customSplit=function(a){f=!1;k="";r=0;for(m=-1;r<a.length;){s=
a.charAt(r);a.charAt(r-1);if("["===s&&-1===m){if(f||""!=k)k+="\u00a6";m++}else"["===s?m++:"]"===s&&0===m?(f=!0,m--):"]"==a.charAt(r)&&(m=0>m?m:m-1);k+=a.charAt(r);r++}return k.split("\u00a6")};a.Menu.prototype.getIndex=function(a){a=parseFloat(a.toString().replace(this.parent.decimal_symbol,"."));d=-1;b=Infinity;for(var c=0,f=this.strValue.length;c<f;c++)h=e(a-parseFloat(this.evaluator.evalExpression(this.strValue[c]))),h<=b&&(b=h,d=c);return d};a.Menu.prototype.changeValue=function(){this.activeIfValue&&
(this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction())};a.Menu.prototype.registerMouseAndTouchEvents=function(){l=a.hasTouchSupport;var b=this;b.select.oncontextmenu=b.label.oncontextmenu=b.field.oncontextmenu=function(){return!1};l?b.label.addEventListener("touchstart",function(a){a.preventDefault();return!1}):b.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.select.addEventListener("change",function(a){b.value=b.evaluator.evalExpression(b.strValue[this.selectedIndex]);
b.field.value=b.formatOutputValue(b.value);b.evaluator.setVariable(b.id,b.field.value);b.changeValue();a.preventDefault()});this.field.addEventListener("keydown",function(a){13==a.keyCode&&(b.indexValue=b.getIndex(b.field.value),b.value=b.evaluator.evalExpression(b.strValue[b.indexValue]),b.field.value=b.formatOutputValue(b.indexValue),b.select.selectedIndex=b.indexValue,b.changeValue())});b.field.addEventListener("click",function(a){this.select();this.focus()});b.select.addEventListener("mouse",
function(a){this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=Math.floor,g,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z,B,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.registerMouseAndTouchEvents();this.init()};a.extend(a.Scrollbar,a.Control);a.Scrollbar.prototype.init=function(){g=this.evaluator;this.findOffset();0==g.evalExpression(this.decimals)?this.incr=1:this.incr=(g.evalExpression(this.max)-g.evalExpression(this.min))/100;this.value=this.validateValue(g.evalExpression(this.valueExpr));d=this.formatOutputValue(this.value);b=this.evaluator.evalExpression(this.expresion);this.x=b[0][0];this.y=b[0][1];4==b[0].length&&
(this.w=b[0][2],this.h=b[0][3]);this.orientation=this.w>=this.h?"h":"v";this.initScroll(d);this.changeScrollPositionFromValue();this.prePos=this.pos;g.setVariable(this.id,this.value)};a.Scrollbar.prototype.initScroll=function(b){c=this;g=c.evaluator;var f=g.evalExpression(c.name).toString();c.label.innerHTML=f;var d="v"===c.orientation?parseInt(19+5*(c.h-100)/100):c.h;c.fieldFontSize="v"===c.orientation?d-parseInt(c.h/20)-1:2!==c.parent.version?a.getFieldFontSize(d):10;var e=a.getTextWidth(b+"_",
c.fieldFontSize+"px Arial"),l=c.parent.getSpaceById(c.spaceID).h;c.labelHeight=""==f?0:d;c.fieldHeight=""==c.visible?0:d;if("v"===c.orientation)c.canvasWidth=c.w,c.canvasHeight=c.h-c.labelHeight-c.fieldHeight,18<=c.canvasHeight+c.y-l&&(c.canvasHeight=l),f=0,f=c.fieldHeight,e=f+c.canvasHeight,c.canvasX=0,c.canvasY=c.fieldHeight,c.labelWidth=c.w,c.labelY=e,c.upWidth=c.downW=c.w,c.upHeight=c.downH=15,c.upX=0,c.upY=c.fieldHeight,c.downX=0,c.downY=e-c.downH,c.fieldWidth=c.w,c.fieldX=0,c.scrollManipulatorW=
c.w,c.scrollManipulatorH=parseInt((c.canvasHeight-c.upHeight-c.downH-c.labelHeight-c.fieldHeight)/10),c.scrollManipulatorH=15>c.scrollManipulatorH?15:c.scrollManipulatorH,c.scrollManipulatorLimInf=e-c.downH-c.scrollManipulatorH,c.scrollManipulatorLimSup=f+c.downH;else{d=a.getTextWidth(f,c.fieldFontSize+"px Arial")+10;c.labelWidth=d;c.fieldWidth=e;""==f&&(c.labelWidth=0);c.visible||(c.fieldWidth=0);for(e=c.w-c.fieldWidth-c.labelWidth;58>e&&0<c.labelWidth;)c.labelWidth--,e++;for(;58>e&&0<c.fieldWidth;)c.fieldWidth--,
e++;f=c.labelWidth;d=f+e;c.fieldWidth=c.w-d;c.canvasWidth=e;c.canvasHeight=c.h;c.canvasX=c.labelWidth;c.canvasY=0;c.fieldX=c.canvasWidth+c.labelWidth;c.labelHeight=c.h;c.labelY=0;c.upWidth=c.downW=15;c.upHeight=c.downH=c.h;c.upX=d-c.downW;c.upY=0;c.downX=c.labelWidth;c.downY=0;c.scrollManipulatorW=parseInt((c.canvasWidth-c.upWidth-c.downW)/10);c.scrollManipulatorW=15>c.scrollManipulatorW?15:c.scrollManipulatorW;c.scrollManipulatorH=c.h;c.scrollManipulatorLimInf=f+c.downW;c.scrollManipulatorLimSup=
f+c.canvasWidth-c.downW-c.scrollManipulatorW}c.containerControl.setAttribute("class","DescartesScrollbarContainer");c.containerControl.setAttribute("id",c.id);c.containerControl.setAttribute("style","width: "+c.w+"px; height: "+c.h+"px; left: "+c.x+"px; top: "+c.y+"px; z-index: "+c.zIndex+";");c.canvas.setAttribute("width",c.w+"px");c.canvas.setAttribute("height",c.h+"px");c.canvas.setAttribute("style","position: absolute; left: 0px; top: 0px;");c.ctx=c.canvas.getContext("2d");c.divUp.setAttribute("class",
"DescartesCatcher up");c.divUp.setAttribute("style","width : "+c.upWidth+"px; height : "+c.upHeight+"px; left: "+c.upX+"px; top: "+c.upY+"px;");c.divDown.setAttribute("class","DescartesCatcher down");c.divDown.setAttribute("style","width : "+c.downW+"px; height : "+c.downH+"px; left: "+c.downX+"px; top: "+c.downY+"px;");c.scrollManipulator.setAttribute("class","DescartesCatcher manipulator");c.scrollManipulator.setAttribute("style","width : "+c.scrollManipulatorW+"px; height : "+c.scrollManipulatorH+
"px;");c.scrollManipulator.style.top=("v"===c.orientation?c.scrollManipulatorLimInf:0)+"px";c.scrollManipulator.style.left=("v"===c.orientation?0:c.scrollManipulatorLimInf)+"px";c.field.setAttribute("type","text");c.field.setAttribute("id",c.id+"scrollbar");c.field.setAttribute("class","DescartesScrollbarField");c.field.setAttribute("style","font-size: "+c.fieldFontSize+"px; width : "+c.fieldWidth+"px; height : "+c.fieldHeight+"px; left: "+c.fieldX+"px; top: 0px;");c.field.value=b;0===c.fieldHeight&&
(c.field.style.display="none");c.label.setAttribute("class","DescartesScrollbarLabel");c.label.setAttribute("style","font-size:"+c.fieldFontSize+"px; width: "+c.labelWidth+"px; height: "+c.labelHeight+"px; line-height: "+c.labelHeight+"px; left: 0px; top:"+c.labelY+"px;")};a.Scrollbar.prototype.update=function(){g=this.evaluator;this.label.innerHTML=g.evalExpression(this.name).toString();0==g.evalExpression(this.decimals)?this.incr=1:this.incr=(g.evalExpression(this.max)-g.evalExpression(this.min))/
100;this.activeIfValue=0<g.evalExpression(this.activeif);this.drawIfValue=0<g.evalExpression(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(g.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);g.setVariable(this.id,this.value)};a.Scrollbar.prototype.draw=function(){c=this;h=c.ctx;f=e(this.w);l=e(this.h);h.fillStyle="#e0e4e8";h.fillRect(0,0,f,l);h.strokeStyle="#7a8a99";c.down&&(h.fillStyle="#ccdcec",h.fillRect(c.downX+.5,c.downY+.5,c.downW,c.downH-1));h.strokeRect(c.downX+.5,c.downY+.5,c.downW,c.downH-1);c.up&&(h.fillStyle="#ccdcec",h.fillRect(c.upX+.5,c.upY-.5,c.upWidth,c.upHeight+1));h.strokeRect(c.upX+.5,c.upY-.5,c.upWidth,c.upHeight+1);k=4;h.fillStyle=
"black";h.beginPath();"h"===c.orientation?(h.moveTo(c.downX+k,c.downH/2),h.lineTo(c.downX+c.downW-k,k),h.lineTo(c.downX+c.downW-k,c.downH-k),h.moveTo(c.upX+c.upWidth-k,c.downH/2),h.lineTo(c.upX+k,k),h.lineTo(c.upX+k,c.downH-k),h.fill(),c.activeIfValue&&(r=e(c.pos),h.fillStyle="#ccdcec",h.fillRect(r+.5,0,e(c.scrollManipulatorW),l),h.strokeStyle="#6382bf",h.strokeRect(r+.5,0,e(c.scrollManipulatorW),l),m=e(c.scrollManipulatorW/2),h.beginPath(),h.moveTo(r+m+.5-2,3),h.lineTo(r+m+.5-2,l-3),h.moveTo(r+m+
.5,3),h.lineTo(r+m+.5,l-3),h.moveTo(r+m+.5+2,3),h.lineTo(r+m+.5+2,l-3),h.stroke())):(h.moveTo(c.downX+c.downW/2,c.downY+c.downH-k),h.lineTo(c.downX+k,c.downY+k),h.lineTo(c.downX+c.downW-k,c.downY+k),h.moveTo(c.upX+c.upWidth/2,c.upY+k),h.lineTo(c.upX+k,c.upY+c.upHeight-k),h.lineTo(c.upX+c.upWidth-k,c.upY+c.upHeight-k),h.fill(),c.activeIfValue&&(r=e(c.pos),h.fillStyle="#ccdcec",h.fillRect(0,r+.5,f,e(c.scrollManipulatorH)),h.strokeStyle="#6382bf",h.strokeRect(0,r+.5,f,e(c.scrollManipulatorH)),m=e(c.scrollManipulatorH/
2),h.beginPath(),h.moveTo(3,r+m+.5-2),h.lineTo(f-3,r+m+.5-2),h.moveTo(3,r+m+.5),h.lineTo(f-3,r+m+.5),h.moveTo(3,r+m+.5+2),h.lineTo(f-3,r+m+.5+2),h.stroke()));h.strokeRect(.5,.5,f-1,l-1);c.activeIfValue||(h.fillStyle="rgba(240,240,240,"+160/255+")",h.fillRect(0,0,f,l.h))};a.Scrollbar.prototype.validateValue=function(a){g=this.evaluator;s=a.toString();s=parseFloat(s.replace(this.parent.decimal_symbol,"."));isNaN(s)&&(s=0);this.minimo=g.evalExpression(this.min);s<this.minimo&&(this.value=null,s=this.minimo);
this.maximo=g.evalExpression(this.max);s>this.maximo&&(this.value=null,s=this.maximo);q=this.incr;s=0!=q?s*q/q:0;this.fixed&&(s=parseFloat(parseFloat(s).toFixed(g.evalExpression(this.decimals))));return s};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(){k=(this.evaluator.evalExpression(this.max)-this.evaluator.evalExpression(this.min))/
10;"h"==this.orientation?this.clickPos.x>this.prePos&&this.changeValue(parseFloat(this.value)+k):this.clickPos.y<this.prePos&&this.changeValue(parseFloat(this.value)+k)};a.Scrollbar.prototype.decrease10=function(){k=(this.evaluator.evalExpression(this.max)-this.evaluator.evalExpression(this.min))/10;"h"==this.orientation?this.clickPos.x<this.prePos&&this.changeValue(parseFloat(this.value)-k):this.clickPos.y>this.prePos&&this.changeValue(parseFloat(this.value)-k)};a.Scrollbar.prototype.changeValue=
function(a){this.activeIfValue&&(u=this.validateValue(a),u!=this.value&&(this.value=u,this.field.value=this.formatOutputValue(u),this.changeScrollPositionFromValue(),this.prePos=this.pos,this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction()))};a.Scrollbar.prototype.changeValueForScrollMovement=function(){g=this.evaluator;n=this.scrollManipulatorLimInf;v=this.scrollManipulatorLimSup;p=g.evalExpression(this.min);t=g.evalExpression(this.max);q=this.incr;u=e((this.pos-n)*(t-p)/(v-
n)/q)*q+p;u!=this.value&&(this.value=u,this.field.value=this.formatOutputValue(u),g.setVariable(this.id,this.value),this.parent.updateControls(),this.actionExec.execute(),this.parent.update())};a.Scrollbar.prototype.changeScrollPositionFromValue=function(){g=this.evaluator;n=this.scrollManipulatorLimInf;v=this.scrollManipulatorLimSup;p=g.evalExpression(this.min);t=g.evalExpression(this.max);q=this.incr;this.pos=(this.value-p)*(v-n)/(t-p)+n;"h"==this.orientation?this.scrollManipulator.style.left=this.pos+
"px":this.scrollManipulator.style.top=this.pos+"px"};a.Scrollbar.prototype.registerMouseAndTouchEvents=function(){function b(a,c,f,d){clearInterval(v);(t.up||t.down||t.canvasClick)&&1E-7<Math.abs(t.value-d)&&(c.call(t),a=f?a:30,v=setTimeout(function(){b(a,c,!1,d)},a))}function c(f){f.preventDefault();t.whichButton=a.whichButton(f);"L"==t.whichButton&&t.activeIfValue&&(t.clickPos=t.getCursorPosition(f),t.canvasClick=!0,"h"==t.orientation?t.clickPos.x<t.prePos?b(u,t.decrease10,!0,t.minimo):b(u,t.increase10,
!0,t.maximo):t.clickPos.y<t.prePos?b(u,t.increase10,!0,t.maximo):b(u,t.decrease10,!0,t.minimo))}function f(a){t.canvasClick=!1;clearInterval(v);a.preventDefault()}function d(a){!0==t.canvasClick&&(t.clickPos=t.getCursorPosition(a),a.preventDefault())}function e(a){t.activeIfValue&&(t.scrollClick=!0,t.initPos=t.getCursorPosition(a),window.addEventListener("mouseup",g),window.addEventListener("mousemove",h),a.preventDefault())}function l(a){t.activeIfValue&&(t.scrollClick=!0,t.initPos=t.getCursorPosition(a),
window.addEventListener("touchend",m),window.addEventListener("touchmove",onToucheMove_scrollManipulator),a.preventDefault())}function g(a){t.scrollClick=!1;t.prePos=t.pos;window.removeEventListener("mouseup",g,!1);window.removeEventListener("mousemove",h,!1);a.preventDefault()}function m(a){t.scrollClick=!1;t.prePos=t.pos;window.removeEventListener("touchend",m,!1);window.removeEventListener("touchmove",h,!1);a.preventDefault()}function h(a){var b=t.getCursorPosition(a);"h"==t.orientation?(t.pos=
t.prePos-(t.initPos.x-b.x),t.pos<t.scrollManipulatorLimInf&&(t.pos=t.scrollManipulatorLimInf),t.pos>t.scrollManipulatorLimSup&&(t.pos=t.scrollManipulatorLimSup),t.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+t.scrollManipulatorW+"px; height : "+t.h+"px; left: "+t.pos+"px; top: 0px;")):(t.pos=t.prePos-(t.initPos.y-b.y),t.pos>t.scrollManipulatorLimInf&&(t.pos=t.scrollManipulatorLimInf),t.pos<t.scrollManipulatorLimSup&&
(t.pos=t.scrollManipulatorLimSup),t.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+t.w+"px; height : "+t.scrollManipulatorH+"px; left: 0px; top: "+t.pos+"px;"));t.changeValueForScrollMovement();a.preventDefault()}function n(c){c.preventDefault();t.whichButton=a.whichButton(c);"L"==t.whichButton&&t.activeIfValue&&(t.up=!0,b(u,t.increase,!0,t.maximo))}function k(c){c.preventDefault();t.whichButton=a.whichButton(c);"L"==
t.whichButton&&t.activeIfValue&&(t.down=!0,b(u,t.decrease,!0,t.minimo))}function r(a){t.up=!1;clearInterval(v);a.preventDefault()}function q(a){t.down=!1;clearInterval(v);a.preventDefault()}function p(a){t.up=!1;clearInterval(v);a.preventDefault();t.draw()}function s(a){t.down=!1;clearInterval(v);a.preventDefault();t.draw()}w=a.hasTouchSupport;var t=this,u=w?500:200,v;t.canvas.oncontextmenu=t.divUp.oncontextmenu=t.divDown.oncontextmenu=t.label.oncontextmenu=t.field.oncontextmenu=t.scrollManipulator.oncontextmenu=
function(){return!1};this.field.addEventListener("keydown",function(a){13==a.keyCode&&t.changeValue(t.field.value)});w?this.canvas.addEventListener("touchstart",c):this.canvas.addEventListener("mousedown",c);w||this.divDown.addEventListener("mouseout",q);w?window.addEventListener("touchend",f):window.addEventListener("mouseup",f);w?this.canvas.addEventListener("touchmove",d):this.canvas.addEventListener("mousemove",d);w?this.scrollManipulator.addEventListener("touchstart",l):this.scrollManipulator.addEventListener("mousedown",
e);w?this.divUp.addEventListener("touchstart",n):this.divUp.addEventListener("mousedown",n);w?this.divDown.addEventListener("touchstart",k):this.divDown.addEventListener("mousedown",k);w||this.divUp.addEventListener("mouseout",r);w||this.divDown.addEventListener("mouseout",q);w?window.addEventListener("touchend",p):window.addEventListener("mouseup",p);w?window.addEventListener("touchend",s):window.addEventListener("mouseup",s)};a.Scrollbar.prototype.findOffset=function(){z=this.containerControl;this.offsetTop=
this.offsetLeft=0;B=this.containerControl.style.display;for(this.containerControl.style.display="block";z;)this.offsetLeft+=z.offsetLeft||0,this.offsetTop+=z.offsetTop||0,z=z.parentNode;this.containerControl.style.display=B};a.Scrollbar.prototype.getCursorPosition=function(b){y=a.getCursorPosition(b);return{x:y.x-this.offsetLeft,y:y.y-this.offsetTop}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e;a.Audio=function(c,d){this.controls=!0;this.file="";this.oldDrawIf=0;
a.Control.call(this,c,d);var b=this,e=b.evaluator.evalExpression(b.expresion);4==e[0].length?(b.w=e[0][2],b.h=e[0][3]):(b.w=200,b.h=28);b.audio=b.parent.getAudio(b.file);b.autoplay&&(b.audio.setAttribute("autoplay","autoplay"),b.audio.play());b.loop&&b.audio.setAttribute("loop","loop");b.controls&&b.audio.setAttribute("controls","controls");b.audio.setAttribute("style","position: absolute; width: "+b.w+"px; left: "+b.x+"px; top: "+b.y+"px; z-index: "+b.zIndex+";");b.addControlContainer(b.audio);b.evaluator.setFunction(b.id+
".play",function(){b.audio.play();return 0});b.evaluator.setFunction(b.id+".pause",function(){b.audio.pause();return 0});b.evaluator.setFunction(b.id+".stop",function(){b.audio.pause();return b.audio.currentTime=0});b.audio.addEventListener("timeupdate",function(a){b.evaluator.setVariable(b.id+".currentTime",b.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 g;a.Audio.prototype.update=
function(){e=this.evaluator;(g=0<e.evalExpression(this.drawif))?this.audio.style.display="block":(this.audio.style.display="none",g!==this.oldDrawIf&&this.audio.pause());this.oldDrawIf=g;this.updatePositionAndSize()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e;a.Video=function(c,d){this.controls=!0;this.file="";this.oldDrawIf=0;a.Control.call(this,c,d);var b=this;e=b.evaluator;var g=b.evaluator.evalExpression(b.expresion);4==g[0].length?(b.w=g[0][2],b.h=g[0][3]):
(b.w=null,b.h=null);b.video=document.createElement("video");b.autoplay&&b.video.setAttribute("autoplay","autoplay");b.loop&&b.video.setAttribute("loop","loop");b.controls&&b.video.setAttribute("controls","controls");b.poster&&b.video.setAttribute("poster",b.poster);b.w&&(b.video.setAttribute("width",b.w),b.video.setAttribute("height",b.h));b.video.setAttribute("style","position: absolute; overflow: hidden; left: "+b.x+"px; top: "+b.y+"px;");var g=b.file,l=g.lastIndexOf(".");-1!=l&&(g=b.file.substring(0,
l));b.video.canPlayType("video/mp4")&&(l=document.createElement("source"),l.setAttribute("src",g+".mp4"),l.setAttribute("type","video/mp4"),b.video.appendChild(l));b.video.canPlayType("video/ogg")&&(l=document.createElement("source"),l.setAttribute("src",g+".ogg"),l.setAttribute("type","video/ogg"),b.video.appendChild(l),l=document.createElement("source"),l.setAttribute("src",g+".ogv"),l.setAttribute("type","video/ogg"),b.video.appendChild(l));b.video.canPlayType("video/webm")&&(l=document.createElement("source"),
l.setAttribute("src",g+".webm"),l.setAttribute("type","video/webm"),b.video.appendChild(l));b.addControlContainer(b.video);b.evaluator.setFunction(b.id+".play",function(){b.video.play();return 0});b.evaluator.setFunction(b.id+".pause",function(){b.video.pause();return 0});b.evaluator.setFunction(b.id+".stop",function(){b.video.pause();return b.video.currentTime=0});b.video.addEventListener("timeupdate",function(a){b.evaluator.setVariable(b.id+".currentTime",b.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 g;a.Video.prototype.update=function(){e=this.evaluator;g=0<e.evalExpression(this.drawif);0<e.evalExpression(this.drawif)?this.video.style.display="block":(this.video.style.display="none",g!==this.oldDrawIf&&this.video.pause());this.oldDrawIf=g;this.updatePositionAndSize()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g;a.TextArea=function(c,
d){this.font="Monospaced,PLAIN,12";a.Control.call(this,c,d);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 b=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();b&&"simpleText"!=b.type&&(this.answer=this.text.hasFormula?"":b.toHTML());this.evaluator.setVariable(this.id,
this.text);this.drawButton();this.registerMouseAndTouchEvents();this.init()};a.extend(a.TextArea,a.Control);a.TextArea.prototype.init=function(){g=this.answer?28:8;e=this.evaluator;var c;c=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<e.evalExpression(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-g)+"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;' >"+
c+"</span>";this.textAreaAnswer.setAttribute("class","DescartesTextAreaContainer");this.textAreaAnswer.setAttribute("style","width: "+(this.w-8)+"px; height: "+(this.h-g)+"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 c=document.createElement("canvas");c.setAttribute("width",20);c.setAttribute("height",16);var d=c.getContext("2d");this.canvas=c;this.ctx=d;this.createGradient(20,16);d.lineWidth=1;d.fillStyle="white";d.fillRect(0,0,20,16);d.fillStyle=this.linearGradient;d.fillRect(0,0,20,16);a.drawLine(d,19,0,19,16,"rgba(0,0,0,"+128/255+")");a.drawLine(d,0,0,0,16,"rgba(0,0,0,"+24/255+")");a.drawLine(d,1,0,1,16,"rgba(0,0,0,"+8/255+")");this.imageUnPush=c.toDataURL();d.fillStyle="white";d.fillRect(0,
0,20,16);d.fillStyle=this.linearGradient;d.fillRect(0,0,20,16);a.drawLine(d,0,0,0,14,"gray");a.drawLine(d,0,0,19,0,"gray");d.fillStyle="rgba(0, 0, 0,"+24/255+")";d.fillRect(0,0,this.w,this.h);this.imagePush=c.toDataURL()};a.TextArea.prototype.update=function(){e=this.evaluator;this.activeIfValue=0<e.evalExpression(this.activeif);this.drawIfValue=0<e.evalExpression(this.drawif);var a;a=this.text.match(/<span/)?this.rawText:this.text;e.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.registerMouseAndTouchEvents=function(){function a(b){b.preventDefault();d.showButton.style.backgroundImage="url("+d.imageUnPush+")"}var d=this;this.showButton.addEventListener("mousedown",function(a){a.preventDefault();d.showAnswer=!d.showAnswer;d.textAreaAnswer.style.display=d.showAnswer?"block":"none";d.showButton.childNodes[0].childNodes[0].textContent=d.showAnswer?
"T":"S";d.showButton.style.backgroundImage="url("+d.imagePush+")"});this.showButton.addEventListener("mouseup",a);this.showButton.addEventListener("mouseout",a)};a.TextArea.prototype.getScreenshot=function(){var a=document.createElement("canvas");a.setAttribute("width",this.w);a.setAttribute("height",this.h);var d=a.getContext("2d");d.fillStyle="white";d.strokeStyle="black";d.lineWidth=1;d.fillRect(0,0,this.w,this.h);d.strokeRect(0,0,this.w,this.h);return a};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var e=2*Math.PI,g,c,d,b,h,l,f,k,r;a.GraphicControl=function(b,f){c=b.evaluator.parser;this.text=this.spaceID="";this.size=c.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,f);this.touchId=null;this.font=a.convertFont(this.font);if(this.constraintExpr){this.constraint=c.parse(this.constraintExpr);"(expr)"==this.constraint.type&&(this.constraint=c.parse(this.constraintExpr.substring(1,
this.constraintExpr.length-1)));if("compOperator"==this.constraint.type){var d=this.constraint.childs[0],e=this.constraint.childs[1];"identifier"!=d.type||"y"!=d.value||e.contains("y")?"identifier"!=d.type||"x"!=d.value||e.contains("x")?this.newt=new a.R2Newton(this.evaluator,this.constraint):(this.evalConstraint=this.evalConstraintY,this.constraint=e):(this.evalConstraint=this.evalConstraintX,this.constraint=e)}else this.constraint=null;k=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.registerMouseAndTouchEvents();this.xString=this.id+".x";this.yString=this.id+".y";this.activoString=this.id+".activo";this.activeString=this.id+".active";""!==this.space.id&&2!==b.version?(this.mxString=
this.space.id+".mouse_x",this.myString=this.space.id+".mouse_y",this.mclickedString=this.space.id+".mouse_clicked",this.mclicizquierdoString=this.space.id+".clic_izquierdo"):(this.mxString="mouse_x",this.myString="mouse_y",this.mclickedString="mouse_clicked",this.mclicizquierdoString="clic_izquierdo");this.init()};a.GraphicControl.prototype.init=function(){g=this.evaluator;r=a.hasTouchSupport;var b=g.evalExpression(this.expresion);this.x=b[0][0];this.y=b[0][1];g.setVariable(this.xString,this.x);g.setVariable(this.yString,
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*g.evalExpression(this.size),this.height=2*g.evalExpression(this.size),this._w=r&&48>this.width?48:this.width,this._h=r&&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";g.setVariable(this.activoString,0);g.setVariable(this.activeString,0);this.setImage=!1;this.update()};a.GraphicControl.prototype.update=
function(){g=this.evaluator;this.activeIfValue=0<g.evalExpression(this.activeif);this.drawIfValue=0<g.evalExpression(this.drawif);this.x=g.getVariable(this.xString);this.y=g.getVariable(this.yString);d=this.space.getAbsoluteX(this.x);b=this.space.getAbsoluteY(this.y);this.mouseCacher.style.display=this.activeIfValue?"block":"none";this.mouseCacher.style.left=parseInt(d-this._w/2)+"px";this.mouseCacher.style.top=parseInt(b-this._h/2)+"px";this.constraint&&this.evalConstraint();this.draw()};a.GraphicControl.prototype.draw=
function(){g=this.evaluator;this.drawIfValue&&(l=this.ctx,f=this.space.backgroundCtx,d=parseInt(this.space.getAbsoluteX(this.x))+.5,b=parseInt(this.space.getAbsoluteY(this.y))+.5,""!=this.text&&this.drawText(d,b),this.image.ready?(this.image.complete&&!this.setImage&&l.drawImage(this.image,parseInt(d-this.image.width/2),parseInt(b-this.image.height/2)),this.trace&&(f.save(),f.translate(d,b),f.scale(parseInt(this.image.width/2),parseInt(this.image.height/2)),f.beginPath(),f.arc(0,0,1,0,e,!1),f.restore(),
f.lineWidth=1,f.strokeStyle=this.trace.getColor(),f.stroke())):(l.beginPath(),l.arc(d,b,parseInt(this.width/2),0,e,!1),l.fillStyle=this.colorInt.getColor(),l.fill(),l.lineWidth=1,l.strokeStyle=this.color.getColor(),l.stroke(),this.active&&(l.beginPath(),l.arc(d,b,parseInt(this.width/2)-2,0,e,!1),l.strokeStyle=this.colorInt.borderColor(),l.stroke()),this.trace&&(f.lineWidth=1,f.strokeStyle=this.trace.getColor(),f.beginPath(),f.arc(d,b,parseInt(this.width/2),0,e,!1),f.stroke())))};a.GraphicControl.prototype.evalConstraint=
function(){k.set(this.x,this.y);h=this.newt.findZero(k,1/this.space.scale,!0);this.x=h.x;this.y=h.y;this.evaluator.setVariable(this.xString,this.x);this.evaluator.setVariable(this.yString,this.y)};a.GraphicControl.prototype.evalConstraintX=function(){var a=this.evaluator.getVariable("x");this.evaluator.setVariable("x",this.x);this.y=this.evaluator.evalExpression(this.constraint);this.evaluator.setVariable(this.xString,this.x);this.evaluator.setVariable(this.yString,this.y);this.evaluator.setVariable("x",
a)};a.GraphicControl.prototype.evalConstraintY=function(){var a=this.evaluator.getVariable("y");this.evaluator.setVariable("y",this.y);this.x=this.evaluator.evalExpression(this.constraint);this.evaluator.setVariable(this.xString,this.x);this.evaluator.setVariable(this.yString,this.y);this.evaluator.setVariable("y",a)};a.GraphicControl.prototype.drawText=function(a,b){l=this.ctx;g=this.evaluator;l.fillStyle=this.color.getColor();l.font=this.font;l.textBaseline="alphabetic";l.fillText(g.evalExpression(this.text[0],
g.evalExpression(this.decimals),this.fixed),parseInt(a+1+this.width/2),parseInt(b-1-this.height/2))};a.GraphicControl.prototype.getContainer=function(){for(var a=this.parent.spaces,b,c=0,f=a.length;c<f;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.activoString,
0);this.evaluator.setVariable(this.activeString,0)};a.GraphicControl.prototype.registerMouseAndTouchEvents=function(){function b(c){document.body.focus();c.preventDefault();h.whichButton=a.whichButton(c);"L"==h.whichButton&&h.activeIfValue&&h.over&&(h.parent.deactivateGraphiControls(),h.click=!0,h.active=!0,h.evaluator.setVariable(h.activoString,1),h.evaluator.setVariable(h.activeString,1),h.evaluator.setVariable(h.mclickedString,0),h.evaluator.setVariable(h.mclicizquierdoString,0),h.posAnte=h.getCursorPosition(c),
h.prePos={x:h.space.getAbsoluteX(h.x),y:h.space.getAbsoluteY(h.y)},h.evaluator.setVariable(h.mxString,h.space.getRelativeX(h.posAnte.x)),h.evaluator.setVariable(h.myString,h.space.getRelativeY(h.posAnte.y)),h.parent.update(),window.addEventListener("mouseup",f),window.addEventListener("mousemove",d))}function c(a){document.body.focus();a.preventDefault();h.activeIfValue&&(h.parent.deactivateGraphiControls(),h.click=!0,h.active=!0,h.evaluator.setVariable(h.activoString,1),h.evaluator.setVariable(h.activeString,
1),h.evaluator.setVariable(h.mclickedString,0),h.evaluator.setVariable(h.mclicizquierdoString,0),h.posAnte=h.getCursorPosition(a),h.prePos={x:h.space.getAbsoluteX(h.x),y:h.space.getAbsoluteY(h.y)},h.evaluator.setVariable(h.mxString,h.space.getRelativeX(h.posAnte.x)),h.evaluator.setVariable(h.myString,h.space.getRelativeY(h.posAnte.y)),h.parent.update(),window.addEventListener("touchmove",d),window.addEventListener("touchend",f))}function f(b){document.body.focus();b.preventDefault();h.touchId=null;
h.evaluator.setVariable(h.mclickedString,1);h.evaluator.setVariable(h.mclicizquierdoString,1);if(h.activeIfValue||h.active)h.click=!1,a.hasTouchSupport?(window.removeEventListener("touchmove",d,!1),window.removeEventListener("touchend",f,!1)):(window.removeEventListener("mouseup",f,!1),window.removeEventListener("mousemove",d,!1)),h.evaluator.setVariable(h.mxString,h.space.getRelativeX(h.posAnte.x)+h.x),h.evaluator.setVariable(h.myString,h.space.getRelativeY(h.posAnte.y)+h.y),h.parent.update(),h.mouseCacher.style.left=
h.space.getAbsoluteX(h.x)-h._w/2+"px",h.mouseCacher.style.top=h.space.getAbsoluteY(h.y)-h._h/2+"px"}function d(a){a.preventDefault();a.touchId=h.touchId;h.evaluator.setVariable(h.mclickedString,0);h.evaluator.setVariable(h.mclicizquierdoString,0);k=h.getCursorPosition(a);h.posX=h.prePos.x-(h.posAnte.x-k.x);h.posY=h.prePos.y-(h.posAnte.y-k.y);h.evaluator.setVariable(h.xString,h.space.getRelativeX(h.posX));h.evaluator.setVariable(h.yString,h.space.getRelativeY(h.posY));h.evaluator.setVariable(h.mxString,
h.space.getRelativeX(h.posAnte.x)+h.space.getRelativeX(h.posX));h.evaluator.setVariable(h.myString,h.space.getRelativeY(h.posAnte.y)+h.space.getRelativeY(h.posY));10<Date.now()-g&&(h.parent.updateControls(),h.parent.update(),g=Date.now())}function e(a){h.over=!0}function l(a){h.over=!1;h.click=!1}var g=0,h=this;this.active=this.over=this.click=!1;this.mouseCacher.oncontextmenu=function(){return!1};a.hasTouchSupport?this.mouseCacher.addEventListener("touchstart",c):(this.mouseCacher.addEventListener("mousedown",
b),this.mouseCacher.addEventListener("mouseover",e),this.mouseCacher.addEventListener("mouseout",l));var k};a.GraphicControl.prototype.getCursorPosition=function(a){if(a.touches){var b;if(a.touchId)for(c=0,f=a.touches.length;c<f;c++){if(a.touches[c].identifier==a.touchId){b=a.touches[c];break}}else for(var c=0,f=a.touches.length;c<f;c++)if(a.target==a.touches[c].target){b=a.touches[c];this.touchId=b.identifier;break}mouseX=b.pageX;mouseY=b.pageY}else void 0!=a.pageX&&void 0!=a.pageY?(mouseX=a.pageX,
mouseY=a.pageY):(mouseX=a.clientX+document.body.scrollLeft+document.documentElement.scrollLeft,mouseY=a.clientY+document.body.scrollTop+document.documentElement.scrollTop);return{x:mouseX-(this.space.container.offsetLeft+this.space.container.parentNode.offsetLeft),y:mouseY-(this.space.container.offsetTop+this.space.container.parentNode.offsetTop)}};return a}(descartesJS||{}),descartesJS=function(a,e){var g,c,d,b,h,l,f,k,r,m;if(a.loadLib)return a;var s,q,u,n,v,p,t,w,z=/[\w-//]*(\.png|\.jpg|\.gif|\.svg)/gi,
B,y,D,E,C,A,I,G,H,K,x,L,F,M,N,J,R,S,P,Q,O;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,f=a.length;c<f;c++)switch(u=a[c][0],n=a[c][1],q=e[u],q){case "rowsNorth":case "rowsSouth":case "widthEast":case "widthWest":case "height":b[q]=parseInt(n);break;case "about":case "config":case "init":case "clear":b[q]=
"true"===e[n];break;default:console.log("----- attributo de space no identificado: <"+u+"> valor: <"+n+"> -----")}return b};a.LessonParser.prototype.parseSpace=function(b){v={};b=this.split(b);for(var c=0,f=b.length;c<f;c++)switch(u=b[c][0],n=b[c][1],q=e[u],q){case "type":case "id":case "cID":case "file":v[q]=n;break;case "fixed":case "numbers":case "sensitive_to_mouse_movements":case "R3":case "split":v[q]="true"===e[n];break;case "bg_display":case "render":v[q]=e[n];break;case "net":case "net10":case "axes":case "text":v[q]=
""!=n?"false"===e[n]?"":new a.Color(n,this.parent.evaluator):"";break;case "x_axis":case "y_axis":v[q]="false"===e[n]?"":n;break;case "O.x":v.OxExpr=n;break;case "O.y":v.OyExpr=n;break;case "image":v.imageSrc=n;break;case "x":s=n;s="%"===s[s.length-1]?(this.parent.container.width*parseFloat(s)/100).toString():n;v.xExpr=this.parser.parse(s);break;case "y":s=n;s="%"===s[s.length-1]?(this.parent.container.height*parseFloat(s)/100).toString():n;v.yExpr=this.parser.parse(s);break;case "width":s=n.trim();
"%"===s[s.length-1]?(v.wExpr=s,s=this.parent.container.width*parseFloat(s)/100):(s=parseFloat(n),s!=n&&(s=this.parent.container.width,v._w_=n.trim()));v.w=s;break;case "height":s=n.trim();"%"===s[s.length-1]?(v.hExpr=s,s=this.parent.container.height*parseFloat(s)/100):(s=parseFloat(n),s!=n&&(s=this.parent.container.height,v._h_=n.trim()));v.h=s;break;case "drawif":""!=n&&(v.drawif=this.parser.parse(n));break;case "scale":s=parseFloat(n);isNaN(s)&&(s=48);v.scale=s;break;case "background":v.background=
new a.Color(n,this.parent.evaluator);break;default:console.log("----- attributo de space no identificado: <"+u+"> valor: <"+n+"> -----")}switch(v.type){case "R2":return new a.Space2D(this.parent,v);case "R3":return new a.Space3D(this.parent,v);case "AP":return new a.SpaceAP(this.parent,v);case "HTMLIFrame":return new a.SpaceHTML_IFrame(this.parent,v);default:return new a.Space2D(this.parent,v)}};a.LessonParser.prototype.parseControl=function(b){p={type:"numeric"};b=this.split(b);for(var c=0,f=b.length;c<
f;c++)switch(u=b[c][0],n=b[c][1],q=e[u],q){case "id":case "name":case "parameter":case "tooltip":case "tooltipFont":case "Explanation":case "ExplanationFont":case "cID":case "options":case "font":case "file":case "answer":p[q]=n;break;case "gui":case "region":case "action":case "msg_pos":case "poster":p[q]=e[n];break;case "fixed":case "visible":case "discrete":case "onlyText":case "evaluate":case "autoplay":case "loop":case "controls":p[q]="true"===e[n];break;case "color":case "colorInt":case "trace":p[q]=
new a.Color(n,this.parent.evaluator);break;case "font_size":case "drawif":case "activeif":case "decimals":case "min":case "max":case "size":""!=n&&(p[q]=this.parser.parse(n));break;case "constraint":p.constraintExpr=n;break;case "image":p.imageSrc=n;break;case "space":p.spaceID=n;break;case "type":p.type=e[n.trim()];break;case "expresion":p.expresion=this.parser.parse(n.replace(")(",","));break;case "bold":"false"!=e[n]&&(p.bold="bold");break;case "italics":"false"!=e[n]&&(p.italics="italic");break;
case "underlined":"false"!=e[n]&&(p.underlined=!0);break;case "value":var d=n.replace(/&squot;/g,"'");d.match(/^\|/)&&(d="'"+d.substring(1),d.match(/\|$/)&&(d=d.substring(0,d.length-1)+"'"));p.valueExpr=this.parser.parse(d);p.valueExprString=d;break;case "incr":0!=n&&(p.incr=this.parser.parse(n));break;case "exponentialif":p.exponentialif=parseFloat(n);break;case "text":p.rawText=n;for(var d=this.parseText(n),l=0,h=d.length;l<h;l++)d[l]=this.parser.parse(d[l],!1);p.text=d;break;default:l=u.indexOf(".");
d=e[u.substring(0,l)];l=e[u.substring(l+1)];if("parameter"===d&&"font"===l){p.parameterFont=n;break}else if("Explanation"===d&&"font"===l){p.ExplanationFont=n;break}else if("tooltip"===d&&"font"===l){p.tooltipFont=n;break}console.log("----- attributo de control no identificado: <"+u+"> valor: <"+n+"> -----")}if("numeric"===p.type)switch(p.gui){case "spinner":return new a.Spinner(this.parent,p);case "button":return new a.Button(this.parent,p);case "textfield":return new a.TextField(this.parent,p);
case "menu":return new a.Menu(this.parent,p);case "scrollbar":return new a.Scrollbar(this.parent,p);default:return new a.Spinner(this.parent,p)}else{if("video"===p.type)return new a.Video(this.parent,p);if("audio"===p.type)return new a.Audio(this.parent,p);if("graphic"===p.type)return new a.GraphicControl(this.parent,p);if("text"===p.type)return new a.TextArea(this.parent,p)}};a.LessonParser.prototype.parseGraphic=function(b,c,f,d){t={rotateExp:d,parameter:"t"};b=this.split(b);d=0;for(var l=b.length;d<
l;d++)if(u=b[d][0],n=b[d][1],q=e[u],""!=n)switch(q){case "type":case "align":t[q]=e[n];break;case "background":case "abs_coord":case "visible":case "editable":case "fixed":case "vectors":t[q]="true"===e[n];break;case "color":case "fill":case "fillP":case "fillM":case "arrow":case "trace":t[q]="false"===e[n]?"":new a.Color(n,this.parent.evaluator);break;case "family":case "parameter":case "info":case "font":case "name":case "init":case "end":t[q]=n;break;case "drawif":case "width":case "decimals":case "size":case "spear":case "center":case "radius":case "opacity":case "inirot":case "inipos":case "range":""!=
n&&(t[q]=this.parser.parse(n));break;case "space":t.spaceID=n;break;case "expresion":""!=n&&("macro"!=t.type?(t.expresion=this.parser.parse(n),t.expresionString=n):t.expresion=n);break;case "text":t.text=this.parseText(n);break;case "file":var h=n.replace(/&squot;/g,"'");"["===h.charAt(0)&&"]"===h.charAt(h.length-1)&&(h=h.substring(1,h.length-1));h.match(z)&&(h="'"+h+"'");t.file=this.parser.parse(h);break;case "border":""!=n&&"false"!=e[n]&&(t.border=new a.Color(n,this.parent.evaluator));break;default:if(void 0!=
t.family&&u.substring(0,t.family.length+1)===t.family+"."){switch(e[u.substring(t.family.length+1)]){case "interval":""!=n&&(t.family_interval=this.parser.parse(n));break;case "steps":""!=n&&(t.family_steps=this.parser.parse(n))}break}if(void 0!=t.parameter&&u.match(t.parameter+".")){t.parameter!==u.substring(0,u.indexOf(t.parameter)+t.parameter.length)&&(t.parameter=u.substring(0,u.indexOf(t.parameter)+t.parameter.length));switch(e[u.substring(t.parameter.length+1)]){case "interval":""!=n&&(t.parameter_interval=
this.parser.parse(n));break;case "steps":""!=n&&(t.parameter_steps=this.parser.parse(n))}break}console.log("----- attributo del graphic no identificado: <"+u+"> valor: <"+n+"> -----")}c&&(t.abs_coord=c);f&&(t.background=f);switch(t.type){case "text":return new a.Text(this.parent,t);case "image":return new a.Image(this.parent,t);case "point":return new a.Point(this.parent,t);case "polygon":return new a.Polygon(this.parent,t);case "arc":return new a.Arc(this.parent,t);case "segment":return new a.Segment(this.parent,
t);case "arrow":return new a.Arrow(this.parent,t);case "macro":return new a.Macro(this.parent,t);case "curve":return new a.Curve(this.parent,t);case "equation":return new a.Equation(this.parent,t);case "sequence":return new a.Sequence(this.parent,t);case "fill":return new a.Fill(this.parent,t);case "generic":return new a.Generic(this.parent,t)}};a.LessonParser.prototype.parse3DGraphic=function(b,c,f,d){t={rotateExp:d,parameter:"t"};b=this.split(b);c=0;for(f=b.length;c<f;c++)switch(u=b[c][0],n=b[c][1],
q=e[u],q){case "type":case "model":t[q]=e[n];break;case "background":case "fixed":case "edges":t[q]="true"===e[n];break;case "color":case "backcolor":t[q]=new a.Color(n,this.parent.evaluator);break;case "type":case "model":t[q]=e[n];break;case "background":case "fixed":case "edges":case "split":t[q]="true"===e[n];break;case "color":case "backcolor":t[q]=new a.Color(n,this.parent.evaluator);break;case "drawif":case "width":case "length":case "height":case "decimals":case "Nu":case "Nv":case "inipos":case "endpos":""!=
n&&(t[q]=this.parser.parse(n));break;case "family":case "parameter":case "font":case "name":case "inirot":case "endrot":t[q]=n;break;case "space":t.spaceID=n;break;case "expresion":"macro"!=t.type&&"curve"!=t.type&&"surface"!=t.type?(t.expresion=this.parser.parse(n),t.expresionString=n):t.expresion=n.replace(/\\n/g," ").replace(/;/g," ");break;case "text":d=this.parseText(n);for(var l=0,h=d.length;l<h;l++)d[l]=this.parser.parse(d[l],!1);t.text=d;break;case "file":d=n.replace(/&squot;/g,"'");"["===
d.charAt(0)&&"]"===d.charAt(d.length-1)&&(d=d.substring(1,d.length-1));d.match(/./)&&(d="'"+d+"'");t.file=this.parser.parse(d);break;case "drawif":case "width":case "length":case "decimals":case "Nu":case "Nv":case "inirot":case "endrot":case "inipos":case "endpos":""!=n&&(t[q]=this.parser.parse(n));break;case "family":case "parameter":case "font":case "name":t[q]=n;break;case "space":t.spaceID=n;break;case "expresion":"macro"!=t.type&&"curve"!=t.type&&"surface"!=t.type?(t.expresion=this.parser.parse(n),
t.expresionString=n):t.expresion=n;break;case "text":d=this.parseText(n);l=0;for(h=d.length;l<h;l++)d[l]=this.parser.parse(d[l],!1);t.text=d;break;case "file":d=n.replace(/&squot;/g,"'");"["===d.charAt(0)&&"]"===d.charAt(d.length-1)&&(d=d.substring(1,d.length-1));d.match(/./)&&(d="'"+d+"'");t.file=this.parser.parse(d);break;default:if(void 0!==t.family&&u.substring(0,t.family.length+1)===t.family+"."){"interval"===e[u.substring(t.family.length+1)]?""!=n&&(t.family_interval=this.parser.parse(n)):""!=
n&&(t.family_steps=this.parser.parse(n));break}console.log("----- attributo del graphic3D no identificado: <"+u+"> valor: <"+n+"> -----")}switch(t.type){case "point":return new a.Point3D(this.parent,t);case "segment":return new a.Segment3D(this.parent,t);case "polygon":return new a.Polygon3D(this.parent,t);case "curve":return new a.Curve3D(this.parent,t);case "triangle":return new a.Triangle3D(this.parent,t);case "face":return new a.Face3D(this.parent,t);case "polireg":return new a.Polireg3D(this.parent,
t);case "surface":return new a.Surface3D(this.parent,t);case "text":return new a.Text3D(this.parent,t);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,t);case "macro":return new a.Macro3D(this.parent,t);default:console.log(t.type)}};a.LessonParser.prototype.parseAuxiliar=function(b){w={};b=this.split(b);for(var c=0,f=b.length;c<f;c++)b[c][1]=
b[c][1].replace(/&squot;/g,"'");c=0;for(f=b.length;c<f;c++)switch(u=b[c][0],n=b[c][1],q=e[u],q){case "id":case "file":case "init":case "doExpr":case "whileExpr":case "range":case "local":case "expresion":case "condition":case "parameter":w[q]=n.replace(/&squot;/g,"'");break;case "editable":case "constant":case "array":case "matrix":case "algorithm":case "event":case "sequence":w[q]="true"===e[n];break;case "size":case "rows":case "columns":w[q]=this.parser.parse(n);break;case "evaluate":case "execution":case "msg_pos":case "action":w[q]=
e[n];break;case "type":w[q]=e[n];break;case "x":case "y":case "width":case "height":w[q]=this.parser.parse(n);break;default:var d=u.indexOf("."),l=e[u.substring(0,d)],d=e[u.substring(d+1)];if("parameter"===l&&"font"===d){w.parameterFont=n;break}console.log("----- attributo de auxiliar no identificado: <"+u+"> valor: <"+n+"> -----")}w.type&&"rectangle"==w.type?this.parent.auxiliaries.push(new a.Rectangle(this.parent,w)):w.sequence?new a.Function(this.parent,w):w.constant?(b=new a.Constant(this.parent,
w),w.evaluate&&"always"===w.evaluate&&this.parent.auxiliaries.push(b)):w.algorithm&&w.evaluate?(b=new a.Algorithm(this.parent,w),this.parent.auxiliaries.push(b)):w.array&&!w.matrix&&")"!=w.id.charAt(w.id.length-1)?(b=new a.Vector(this.parent,w),w.evaluate&&"always"===w.evaluate&&this.parent.auxiliaries.push(b)):w.matrix&&")"!=w.id.charAt(w.id.length-1)?(b=new a.Matrix(this.parent,w),w.evaluate&&"always"===w.evaluate&&this.parent.auxiliaries.push(b)):w.event&&")"!=w.id.charAt(w.id.length-1)?this.parent.events.push(new a.Event(this.parent,
w)):")"===w.id.charAt(w.id.length-1)?new a.Function(this.parent,w):new a.Variable(this.parent,w)};a.LessonParser.prototype.parseAction=function(b){B=b.action;y=b.parent;D=b.parameter;if(B)switch(B){case "message":return new a.Message(y,D);case "calculate":return new a.Calculate(y,D);case "openURL":return new a.OpenURL(y,D);case "openScene":return new a.OpenScene(y,D);case "about":return new a.About(y,D);case "config":return new a.Config(y,D);case "init":return new a.Init(y,D);case "clear":return new a.Clear(y,
D);case "animate":return new a.Animate(y,D);case "initAnimation":return new a.InitAnimation(y,D);case "playAudio":return new a.PlayAudio(y,D);default:console.log("----- Accion no soportada aun: <"+B+"> -----")}else return{execute:function(){}}};a.LessonParser.prototype.parseAnimation=function(b){var c={};b=this.split(b);for(var f=0,d=b.length;f<d;f++)switch(u=b[f][0],n=b[f][1],q=e[u],q){case "id":case "delay":case "init":case "doExpr":case "whileExpr":c[q]=n.replace(/&squot;/g,"'");break;case "controls":case "auto":case "loop":case "algorithm":case "evaluate":c[q]=
"true"===e[n];break;default:console.log("----- attributo de la animacion no identificado: <"+u+">  <"+n+"> -----")}return new a.Animation(this.parent,c)};a.LessonParser.prototype.parsePleca=function(e,p){e=this.split(e);c=g="";d=0;b="#536891";h="white";l="left";f="";k="SansSerif,BOLD,20";r="SansSerif,PLAIN,18";m=void 0;for(var q=0,s=e.length;q<s;q++)switch(u=e[q][0],n=e[q][1],u){case "title":g=n;break;case "subtitle":c=n;break;case "subtitlines":d=n;break;case "bgcolor":""!=n&&(b=(new a.Color(n,this.parent.evaluator)).getColor());
break;case "fgcolor":""!=n&&(h=(new a.Color(n,this.parent.evaluator)).getColor());break;case "align":""!=n&&(l=n);break;case "titleimage":f=n;break;case "titlefont":k=""!=n?a.convertFont(n):a.convertFont(k);break;case "subtitlefont":r=""!=n?a.convertFont(n):a.convertFont(r);break;default:console.log("----- attributo de la pleca no identificado: <"+u+">  <"+n+"> -----")}if(""===g&&""===c)return document.createElement("div");K=r.substring(0,r.indexOf("px"));K=K.substring(K.lastIndexOf(" "));""!=f&&
(x=this.parent.getImage(f),L=x.height);m=document.createElement("div");m.setAttribute("id","descartesPleca");L?(m.setAttribute("style","position: absolute; left: 0px; top: 0px; text-align: "+l+"; width: "+(p-30)+"px; height: "+(L-16)+"px; background: "+b+"; color: "+h+"; padding-top: 8px; padding-bottom: 8px; padding-left: 15px; padding-right: 15px; margin: 0px; overflow: hidden; z-index: 100;"),x.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: -1; width: 100%; height: 100%"),
m.appendChild(x)):m.setAttribute("style","position: absolute; left: 0px; top: 0px; text-align: "+l+"; width: "+(p-30)+"px; background: "+b+"; color: "+h+"; padding-top: 12px; padding-bottom: 12px; padding-left: 15px; padding-right: 15px; margin: 0px; z-index: 100;");F=document.createElement("div");F.setAttribute("style","padding: 0px; margin: 0px; font: "+k+"; overflow: hidden; white-space: nowrap;");F.innerHTML=g;M=document.createElement("div");if(1===parseInt(d)){P=0;N=document.createElement("div");
N.innerHTML=c;document.body.appendChild(N);R=K;do R-=P,N.setAttribute("style","padding: 0px; margin: 0px; font: "+r+"; font-size: "+R+"px; width: "+(p-30)+"px; line-height: "+R+"px;"),J=N.offsetHeight,S=J/R,P=1;while(1<S&&8<R);document.body.removeChild(N);M.setAttribute("style","padding: 0px; margin: 0px; font: "+r+"; font-size: "+R+"px; line-height: 110%; overflow: hidden; white-space: nowrap;")}else M.setAttribute("style","padding: 0px; margin: 0px; font: "+r+"; line-height: 110%;");M.innerHTML=
c;m.appendChild(F);m.appendChild(M);m.imageHeight=L;return m};a.LessonParser.prototype.split=function(a){if("string"!=typeof a)return[];a=(a||"").replace(/\\'/g,"\u2019");E=[];A=C=0;I=!1;G=0;for(H=!1;C<a.length;)" "!==a.charAt(C)||I||C++," "===a.charAt(C)||I||(I=!0,G=C),"="!==a.charAt(C)||"'"!==a.charAt(C+1)||H||(H=!0,E[A]=[a.substring(G,C)],G=C+2,C+=2),H&&"'"===a.charAt(C)&&(I=H=!1,E[A].push(a.substring(G,C)),A++),"="!==a.charAt(C)||"'"===a.charAt(C+1)||H||(E[A]=[a.substring(G,C)],G=C+1,C++,Q=a.substring(C).indexOf("="),
-1===Q?O=Q=a.length:(Q+=C,O=a.substring(C,Q).lastIndexOf(" "),O=-1===O?a.length:O+C),E[A].push(a.substring(G,O)),A++,I=!1,C=O),C++;return E};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 e(a,b){u=[];u.type="matrix";u.rows=a;u.cols=b;var c;v=0;for(p=b;v<p;v++){c=[];n=0;for(t=a;n<t;n++)c.push(0);u[v]=c}return u}function g(a,b){s=
a.rows;q=a.cols;u=e(s,q);var c;for(v=0;v<s;v++)for(n=0;n<q;n++){for(p=c=0;p<q;p++)c+=a[p][v]*b[n][p];u[n][v]=c}return u}function c(a,b,c){for(var f=e(c.length-1,c.length-1),d=0,l=f.length;d<l;d++)for(var h=0;h<l;h++)f[d][h]=d<a?h<b?c[d][h]:c[d][h+1]:d<b?c[d+1][h]:c[d+1][h+1];return f}function d(a){if(1<a.cols){for(var b=0,f=1,e=0,l=a.cols;e<l;e++)b+=f*a[0][e]*d(c(0,e,a)),f=-f;return b}return a[0][0]}if(a.loadLib)return a;var b,h={},l=Math.floor,f,k,r,m;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){f=this.childs.length-1;lastChild=this.childs[f];lastChild.parent=null;this.childs[f]=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="-",r=new a.Node("compOperator","=="),m=new a.Node("number","0"),r.addChild(this),r.addChild(m),k=this.getRoot(),k.setAllEvaluateFunction(),k):this};a.Node.prototype.setAllEvaluateFunction=function(){this.setEvaluateFunction();for(var a=0,b=this.childs.length;a<b;a++)this.childs[a].setAllEvaluateFunction()};a.Node.prototype.setEvaluateFunction=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 a;this.evaluate=function(b,c){a=b.variables[this.value];if("object"===typeof a&&void 0==a.length)return a.evaluate(b);void 0==a&&(c||b.matrices[this.value]?a=b.matrices[this.value]:b.vectors[this.value]&&(a=b.vectors[this.value]));return void 0!==a?
a:0}}else if("identifier"===this.type&&"square_bracket"===this.childs[0].type&&1===this.childs[0].childs.length){var f,m;this.evaluate=function(a){f=this.childs[0].childs[0].evaluate(a);try{return m=a.vectors[this.value][0>f?0:l(f)],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 k,r;this.evaluate=function(a){k=this.childs[0].childs[0].evaluate(a);r=this.childs[0].childs[1].evaluate(a);try{return m=a.matrices[this.value][0>
k?0:l(k)][0>r?0:l(r)],void 0!==m?m:0}catch(b){return 0}}}else if("identifier"===this.type&&"parentheses"===this.childs[0].type){var p;this.evaluate=function(a){p=[];for(var c=0,f=this.childs[0].childs.length;c<f;c++)p[c]=this.childs[0].childs[c].evaluate(a);return"_Eval_"===this.value?(p[0]=0<p.length?p[0].toString():"",b=p[0].replace(a.parent.decimal_symbol_regexp,"."),void 0==h[b]&&(h[b]=a.parser.parse(b)),a.evalExpression(h[b])):a.functions[this.value].apply(a,p)}}else if("operator"===this.type)"+"===
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;s=b.rows;q=b.cols;u=e(s,q);for(v=0;v<s;v++)for(n=0;n<q;n++)u[n][v]=b[n][v]+a[n][v];return u}:"-"===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;s=b.rows;q=b.cols;u=e(s,q);for(v=0;v<s;v++)for(n=0;n<q;n++)u[n][v]=b[n][v]-a[n][v];return u}:
"*"===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:g(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 f=e(a.length,a.length),l=d(a);if(0===l)a=0;else{var l=1/l,h;if(1<a.length)for(var m=0,k=a.length;m<k;m++){h=l;for(var n=0;n<k;n++)f[n][m]=h*d(c(m,n,a)),h=-h;l=-l}else f[0][0]=
l;a=f}b=0===a?e(b.rows,b.cols):g(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-l(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))+0}:"<="===this.value?this.evaluate=function(a){return(this.childs[0].evaluate(a)<=
this.childs[1].evaluate(a))+0}:">"===this.value?this.evaluate=function(a){return(this.childs[0].evaluate(a)>this.childs[1].evaluate(a))+0}:">="===this.value?this.evaluate=function(a){return(this.childs[0].evaluate(a)>=this.childs[1].evaluate(a))+0}:"=="===this.value?this.evaluate=function(a){return(this.childs[0].evaluate(a)===this.childs[1].evaluate(a))+0}:"!="===this.value&&(this.evaluate=function(a){return(this.childs[0].evaluate(a)!=this.childs[1].evaluate(a))+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});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=[],f;if(1===b&&1===this.childs[0].childs.length&&"(expr)"===this.type)c=this.childs[0].childs[0].evaluate(a);else for(var d=0;d<b;d++){f=[];for(var e=0,l=this.childs[d].childs.length;e<l;e++)f.push(this.childs[d].childs[e].evaluate(a));
c[d]=f}return c};else if("asign"===this.type){var t,A,I,G,H,K;this.evaluate=function(a){t=this.childs[0];A=this.childs[1];1===t.childs.length&&"square_bracket"===t.childs[0].type?(f=t.childs[0].childs,1===f.length?(I=f[0].evaluate(a),I=0>I?0:l(I),a.vectors[t.value][I]=A.evaluate(a)):2===f.length&&(G=f[0].evaluate(a),H=f[1].evaluate(a),G=0>G?0:l(G),H=0>H?0:l(H),a.matrices[t.value][G]||(a.matrices[t.value][G]=[]),a.matrices[t.value][G][H]=A.evaluate(a))):(K=A.evaluate(a),K.type?a.matrices[t.value]=
K:"object"!==typeof a.variables[t.value]&&(a.variables[t.value]=K))}}};var s,q,u,n,v,p,t;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 e,g,c,d,b,h,l,f,k,r=/^\s+/,m=/^[a-zA-Z_\u00C0-\u021B]+[a-zA-Z_0-9\u00C0-\u021B]*([.]*[0-9a-zA-Z_\u00C0-\u021B]+[0-9]*)*/,
s=/^[0-9]+[.][0-9]+|^[.][0-9]+|^[0-9]+/,q=/^==|^!=|^<=|^<|^>=|^>|^#/,u=/^\!|^\~|^\&\&|^\&|^\|\||^\|/,n=/^=/,v=/^[\?\:]/,p=/^[\+\-\*\/\%\^\u2212\u00b7\u00D7\u00F7]/,t=/^\[|^\]/,w=/^\(|^\)/,z=/^,/,B=/^;/,y=/\|/g,D=/\|\*/g,E=/\*\|/g;a.Tokenizer=function(){};a.Tokenizer.prototype.tokenize=function(a){function G(a,b,c){g.push({type:a,value:b});h=h.slice(c);d+=c;f++;k=a}if(e=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(D,"'").replace(E,"'"));a.match(/\=\|/g)&&(a=a.replace(y,"'"));var H=a.trim();"|"==H.charAt(0)&&"|"==H.charAt(H.length-1)&&(a=H.replace(y,"'"))}g=[];c=!1;d=0;h=a;f=0;for(k="";a&&d<a.length;)if(c=d,"'"==h[0]){for(l=1;"'"!=h[l];)if(l<h.length)l++;else{console.log(">Error, unknown symbol: ["+h+"], in the string <<"+e+">>");return}b=h.substring(1,l);G("string",b,b.length+2)}else if(b=h.match(r))h=h.slice(b[0].length),d+=b[0].length,f++;else if(b=h.match(p))b[0]=b[0].replace(/\u00F7/g,
"/").replace(/\u2212/g,"-").replace(/\u00b7/g,"*").replace(/\u00D7/g,"*"),G("operator",b[0],b[0].length);else if(b=h.match(m))"number"===k&&g.push({type:"operator",value:"*"}),G("identifier",b[0],b[0].length);else if(b=h.match(s))G("number",b[0],b[0].length);else if(b=h.match(q))H=b[0],"#"==H&&(H="!="),G("compOperator",H,b[0].length);else if(b=h.match(u))H=b[0],"||"==H?H="|":"&&"==H?H="&":"~"==H&&(H="!"),G("boolOperator",H,b[0].length);else if((b=h.match(n))&&!h.match(/^==/))G("asign",b[0],b[0].length);
else if(b=h.match(v))G("conditional",b[0],b[0].length);else if(b=h.match(t))G("square_bracket",b[0],b[0].length);else if(b=h.match(w))"("==b&&"number"===k&&g.push({type:"operator",value:"*"}),G("parentheses",b[0],b[0].length);else if(b=h.match(z))G("separator",b[0],b[0].length);else if(178===h.charCodeAt(0))g.push({type:"operator",value:"^"}),G("number",2,1);else if(179===h.charCodeAt(0))g.push({type:"operator",value:"^"}),G("number",3,1);else if(b=h.match(B))G("final_of_expresion",b[0],b[0].length);
else if(c==d){console.log("Error, simbolo no conocido: ["+h+"], en la cadena <<"+e+">>");return}return g};var C,A=/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||"";C="";for(var c=0,f=a.length;c<f;c++)C="string"==a[c].type?C+"&squot;"+a[c].value+"&squot;":"identifier"!=a[c].type||a[c].value.match(A)?C+a[c].value:C+b+a[c].value;
return C};return a}(descartesJS||{}),descartesJS=function(a){function e(a){return isNaN(parseFloat(a))?a.replace(/^\s|\s$/g,"").replace(/^'|'$/g,""):parseFloat(a)}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()};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,f){this.matrices[a][b][c]=f};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 g,c,d,b,h,l,f,k,r,m,s,q;a.Parser.prototype.parse=function(e,n){(d=this.tokenizer.tokenize(e))||(d=[]);b=null;n=!n||!1;g=k=f=l=0;for(c=d.length;g<c;g++){r=d[g];m=r.value;s=r.type;
if("identifier"===s)if(g+1<c&&"parentheses"===d[g+1].type&&"("===d[g+1].value)this.getFunction(m);else if(g+1<c&&"square_bracket"===d[g+1].type&&"["===d[g+1].value)d[g+3]&&"square_bracket"===d[g+3].type&&"]"===d[g+3].value?this.getVector(m):this.getMatrix(m);else{var v=m.match(/(\w*)\.mouse_x/)||m.match(/(\w*)\.mouse_y/)||m.match(/(\w*)\.mouse_pressed/)||m.match(/(\w*)\.mouse_clicked/)||m.match(/(\w*)\.clic_izquierdo/);v&&(this.variables[v[1]+".DESCARTESJS_no_fixed"]=1);this.getVariable(m,!0)}"asign"===
s&&n&&(s="compOperator",m="==");if("asign"===s)if(h=new a.Node(s,m),null!=b)if("identifier"===b.type)b.parent&&b.parent.replaceLastChild(h),h.addChild(b),b=h,n=!0;else if("square_bracket"===b.type)h.addChild(b.parent),b=h,n=!0;else{h.type="compOperator";h.value="==";for(n=!0;b.parent&&this.getPrecedence(b.parent.value)>=this.getPrecedence(h.value);)b=b.parent;b.parent&&b.parent.replaceLastChild(h);h.addChild(b);b=h}else{console.log("Error1: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+
s+"}");break}else if("parentheses"===s&&"("===m||"square_bracket"===s&&"["===m)if(h=new a.Node(s,m),"("===m&&l++,"["===m&&f++,null===b)"("===m&&(new a.Node("(expr)","(expr)")).addChild(h),"["===m&&(new a.Node("[expr]","[expr]")).addChild(h),b=h;else if("operator"===b.type||"boolOperator"===b.type||"compOperator"===b.type||"conditional"===b.type||"asign"===b.type)b.addChild(h),b=h;else if("sign"===b.type)b.addChild(h),b=h;else if("parentheses"===b.type&&"("===b.value)b.addChild(h),b=h;else if("square_bracket"===
b.type&&"["===b.value)b.addChild(h),b=h;else if("parentheses"===b.type&&"()"===b.value)b.parent.addChild(h),b=h;else if("square_bracket"===b.type&&"[]"===b.value)b.parent.addChild(h),b=h;else if("identifier"===b.type)b.addChild(h),b=h;else{console.log("Error2: en la expresion <<"+e+">>, en el token ["+g+"] {valor: "+m+", tipo: "+s+"}");break}else if("parentheses"===s&&")"===m)if(l--,null===b)console.log("Error3: en la expresion <<"+e+">>, en el token (valor:"+m+", tipo:"+s);else{for(;b&&b.parent&&
"("!=b.value;)b=b.parent;if(b&&"("===b.value)b.value="()";else{console.log("Error4: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}}else if("square_bracket"===s&&"]"===m)if(f--,null===b)console.log("Error5: en la expresion <<"+e+">>, en el token (valor:"+m+", tipo:"+s);else{for(;b&&b.parent&&"["!=b.value;)b=b.parent;if(b&&"["===b.value)b.value="[]";else{console.log("Error6: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}}else if("number"===s||
"string"===s||"identifier"===s)if(h=new a.Node(s,m),null===b)b=h;else if("operator"===b.type||"compOperator"===b.type||"boolOperator"===b.type||"parentheses"===b.type&&"("===b.value||"square_bracket"===b.type&&"["===b.value||"sign"===b.type||"conditional"===b.type||"asign"===b.type)b.addChild(h),b=h;else{console.log("Error7: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}else if("operator"===s||"compOperator"===s||"boolOperator"===s)if(h=new a.Node(s,m),null===b)if("-"===
m||"+"===m)h.type="sign",h.value="sign"+m,b=h;else if("!"===m)b=h;else{console.log("Error8: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}else if("operator"===b.type||"compOperator"===b.type||"boolOperator"===b.type||"asign"===b.type||"conditional"===b.type||"square_bracket"===b.type&&"["===b.value&&("-"===m||"+"===m||"!"===m)||"parentheses"===b.type&&"("===b.value&&("-"===m||"+"===m||"!"===m)){if("-"===m||"+"===m)h.type="sign",h.value="sign"+m;b.addChild(h);b=h}else if("number"===
b.type||"parentheses"===b.type&&"()"===b.value||"square_bracket"===b.type&&"[]"===b.value||"string"===b.type||"identifier"===b.type||"conditional"===b.type||"asign"===b.type){for(;b.parent&&this.getPrecedence(b.parent.value)>=this.getPrecedence(h.value);)b=b.parent;b.parent&&b.parent.replaceLastChild(h);h.addChild(b);b=h}else{console.log("Error9: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}else if("conditional"===s)if(h=new a.Node(s,m),null!=b)if("?"===h.value){for(k++;b.parent&&
this.getPrecedence(b.parent.value)>this.getPrecedence(h.value);)b=b.parent;b.parent&&b.parent.replaceLastChild(h);h.addChild(b);b=h}else{for(k--;b&&b.parent&&"?"!=b.value;)b=b.parent;if(b&&"?"===b.value)b.value="?:";else{console.log("Error10: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}}else{console.log("Error11: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}else if("separator"===s)if(null!=b)for(;b.parent&&"("!=b.value&&"["!=b.value;)b=
b.parent;else{console.log("Error12: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}else{console.log("Error13: en la expresion <<"+e+">>, en el token {valor: "+m+", tipo: "+s+"}");break}}0<l&&alert("Error, faltan parentesis por cerrar: "+e);0>l&&alert("Error, faltan parentesis por abrir: "+e);0<f&&alert("Error, faltan square bracketss por cerrar: "+e);0>f&&alert("Error, faltan square bracketss por abrir: "+e);0!=k&&alert("Error, condicional incompleta: "+e);(q=b?b.getRoot():
null)&&q.setAllEvaluateFunction();return q};a.Parser.prototype.getPrecedence=function(a){switch(a){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}};a.Parser.prototype.registerDefaultValues=function(){function b(a,c){for(var f in c)c.hasOwnProperty(f)&&(a[f]=c[f])}this.variables.rnd=Math.random;this.variables.pi=a.returnValue(Math.PI);this.variables.e=a.returnValue(Math.E);this.variables.Infinity=Infinity;this.variables["-Infinity"]=-Infinity;this.functions.sqr=function(a){return a*a};this.functions.sqrt=this.functions["ra\u00edz"]=Math.sqrt;this.functions.exp=Math.exp;this.functions.log=Math.log;this.functions.log10=
function(a){return Math.log(a)/Math.log(10)};this.functions.abs=Math.abs;this.functions.ent=Math.floor;this.functions.sgn=function(a){return 0<a?1:0>a?-1:0};this.functions.ind=function(a){return a?1:0};this.functions.sin=this.functions.sen=Math.sin;this.functions.cos=Math.cos;this.functions.tan=Math.tan;this.functions.cot=function(a){return 1/Math.tan(a)};this.functions.sec=function(a){return 1/Math.cos(a)};this.functions.csc=function(a){return 1/Math.sin(a)};this.functions.sinh=this.functions.senh=
function(a){return(Math.exp(a)-Math.exp(-a))/2};this.functions.cosh=function(a){return(Math.exp(a)+Math.exp(-a))/2};this.functions.tanh=function(a){return(Math.exp(a)-Math.exp(-a))/(Math.exp(a)+Math.exp(-a))};this.functions.coth=function(a){return 1/this.functions.tanh(a)};this.functions.sech=function(a){return 1/this.functions.cosh(a)};this.functions.csch=function(a){return 1/this.functions.sinh(a)};this.functions.asin=this.functions.asen=Math.asin;this.functions.acos=Math.acos;this.functions.atan=
Math.atan;this.functions.min=Math.min;this.functions.max=Math.max;this.functions._Num_=function(a){return"number"==typeof a?"NaN":parseFloat(a)==a?parseFloat(a):"NaN"};var c=this;this.functions._Trace_=function(a){console.log(a)};this.functions._Stop_Audios_=function(){c.evaluator.parent.stopAudios()};this.functions._charAt_=this.functions._letraEn_=function(a,b){a=a.toString();return a.charAt(b)};this.functions._substring_=this.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):""};this.functions._length_=this.functions._longitud_=function(a){a=a.toString();return a.length};this.functions._indexOf_=this.functions["_\u00edndiceDe_"]=function(a,b){a=a.toString();b=b.toString();return a.indexOf(b)};this.functions.esCorrecto=function(b,f,d){return a.esCorrecto(b,f,c.evaluator,d)};this.functions.escorrecto=function(b,f,d){return a.escorrecto(b,
f,c.evaluator,d)};window.parent!==window&&(this.functions["parent.set"]=function(a,b){window.parent.postMessage({type:"set",name:a,value:b},"*");return 0},this.functions["parent.update"]=function(){window.parent.postMessage({type:"update"},"*");return 0},this.functions["parent.exec"]=function(a,b){window.parent.postMessage({type:"exec",name:a,value:b},"*");return 0});this.functions._GetValues_=function(b,f){var d;if(b){d=(d=document.getElementById(b))&&"descartes/archivo"==d.type?d.text.replace(/&brvbar;/g,
String.fromCharCode("166")):a.openExternalFile(b);var e=[],l=!1;if(d){d=d.replace(/\r/g,"").split("\n");for(var h=0,g=d.length;h<g;h++)d[h].match("<"+f+">")?(l=d[h].trim().split("<"+f+">"),2==l.length&&""!=l[1]&&(e=e.concat(l[1].split(String.fromCharCode("166")))),l=!0):d[h].match("</"+f+">")?(l=d[h].trim().split("</"+f+">"),2==l.length&&""!=l[0]&&(e=e.concat(l[0].split(String.fromCharCode("166")))),l=!1):l&&(e=e.concat(d[h].split(String.fromCharCode("166"))));h=0;for(g=e.length;h<g;h++)l=e[h].split("="),
l[0]=l[0].trim(),2==l.length&&""!=l[0]&&(isNaN(parseFloat(l[1]))?c.setVariable(l[0],l[1].replace(/^\s|\s$/g,"").replace(/^'|'$/g,"")):c.setVariable(l[0],parseFloat(l[1])))}return 0}};this.functions._GetMatrix_=function(b,f){var d;if(b){d=(d=document.getElementById(b))&&"descartes/archivo"==d.type?d.text.replace(/&brvbar;/g,String.fromCharCode("166")):a.openExternalFile(b);var l=[],h=!1;l.type="matrix";if(d){d=d.replace(/\r/g,"").split("\n");for(var g=0,m=d.length;g<m;g++)d[g].match("<"+f+">")?(h=
d[g].trim().split("<"+f+">"),2==h.length&&""!=h[1]&&l.push(h[1].split(String.fromCharCode("166")).map(e)),h=!0):d[g].match("</"+f+">")?(h=d[g].trim().split("</"+f+">"),2==h.length&&""!=h[0]&&l.push(h[0].split(String.fromCharCode("166")).map(e)),h=!1):h&&l.push(d[g].split(String.fromCharCode("166")).map(e));c.matrices[f]=l;c.setVariable(f+".filas",l[0].length);c.setVariable(f+".columnas",l.length)}return 0}};var f=document.createElement("a"),d,l=null;this.functions._Save_=function(a,b){document.body.appendChild(f);
d=new Blob(["\ufeff",b.replace(/\\n/g,"\n").replace(/\\q/g,"'").replace(/\\r/g,"")],{type:"text/plain"});f.setAttribute("download",a);f.setAttribute("href",window.URL.createObjectURL(d));null==l&&(f.click(),l=!0,setTimeout(function(){l=null},500));document.body.removeChild(f);return 0};var h,g,m,k,r=document.createElement("input");r.setAttribute("type","file");onHandleFileSelect=function(b){h=b.target.files;g=new FileReader;g.onload=function(b){a.addExternalFileContent(h[0].name,b.target.result);
c.setVariable(m,h[0].name);c.getFunction(k)&&(c.getFunction(k).apply(c.evaluator,[]),c.evaluator.parent.update())};0<h.length&&g.readAsText(h[0])};r.addEventListener("change",onHandleFileSelect);this.functions._Open_=function(a,b){m=a;k=b;r.click();return 0};var q,s,A=document.createElement("input");A.setAttribute("type","file");onHandleFileSelect2=function(a){a.stopPropagation();a.preventDefault();q=a.target.files;s=new FileReader;s.onload=function(a){var f={};try{f=JSON.parse(a.target.result)}catch(d){}f.variables&&
b(c.variables,f.variables);f.vectors&&b(c.vectors,f.vectors);f.matrices&&b(c.matrices,f.matrices);c.evaluator.parent.update()};0<q.length&&s.readAsText(q[0])};A.removeEventListener("change",onHandleFileSelect2);A.addEventListener("change",onHandleFileSelect2);this.functions._Rojo_=function(b){return(new a.Color(b)).r/255};this.functions._Verde_=function(b){return(new a.Color(b)).g/255};this.functions._Azul_=function(b){return(new a.Color(b)).b/255};this.functions._AnchoDeCadena_=this.functions._strWidth_=
function(b,c,f,d){return a.getTextWidth(b,a.convertFont(c+","+f+","+d))};this.functions._GetDay_=function(){return(new Date).getDate()};this.functions._GetMonth_=function(){return(new Date).getMonth()+1};this.functions._GetYear_=function(){return(new Date).getFullYear()};this.functions._GetHours_=function(){return(new Date).getHours()};this.functions._GetMinutes_=function(){return(new Date).getMinutes()};this.functions._GetSeconds_=function(){return(new Date).getSeconds()};this.functions._MatrixToStr_=
function(a){var b=this.matrices[a];if(b){strM="<"+a+">\\n";for(var c=this.getVariable(a+".columnas_usadas")||b.rows||0,f=this.getVariable(a+".filas_usadas")||b.cols||0,d,e=0;e<c;e++){for(var l=0;l<f;l++)d=b[e][l],void 0!==d&&("string"==typeof d&&(d="'"+d+"'"),strM+=d+(l<f-1?" \u00a6 ":""));strM=strM.replace(/(\u00A6 )$/g,"")+"\\n"}return strM+="</"+a+">"}return""}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=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,c){this.definitions[a]=c};a.Evaluator.prototype.getDefinition=function(a){return this.definitions[a]};a.Evaluator.prototype.setVariable=function(a,c){this.variables[a]=c};a.Evaluator.prototype.getVariable=function(a){return this.variables[a]};a.Evaluator.prototype.setVector=
function(a,c,d){c=0>c?0:e(c);this.vectors[a][c]=d};a.Evaluator.prototype.getVector=function(a,c){c=0>c?0:e(c);return this.vectors[a][c]};a.Evaluator.prototype.setMatrix=function(a,c,d,b){c=0>c?0:e(c);d=0>d?0:e(d);this.matrices[a][c][d]=b};a.Evaluator.prototype.getMatrix=function(a,c,d){c=0>c?0:e(c);d=0>d?0:e(d);return this.matrices[a][c][d]};a.Evaluator.prototype.setFunction=function(a,c){this.functions[a]=c};a.Evaluator.prototype.getFunction=function(a){return this.functions[a]};a.Evaluator.prototype.evalExpression=
function(a){return a?a.evaluate(this):0};a.externalEvaluator=new a.Evaluator;return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=2,g=!1,c;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 d=0,b=0,h=0;a.RTFNode.prototype.getTextMetrics=function(){if("textBlock"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);for(var c=0,f=this.children.length;c<f;c++)this.children[c].getTextMetrics()}else if("textLineBlock"==this.nodeType)this.spaceWidth=
a.getTextWidth(" ",this.styleString),this.getBlockMetric();else if("newLine"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);var k=a.getFontMetrics(this.styleString);this.baseline=k.baseline;this.descent=k.descent;this.ascent=k.ascent;this.w=0;this.h=k.h}else if("text"==this.nodeType||"dynamicText"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);k=a.getFontMetrics(this.styleString);this.baseline=k.baseline;this.descent=k.descent;this.ascent=k.ascent;var c=
this.value,r;"string"!=typeof this.value&&(f=void 0==this.decimals?e:this.evaluator.evalExpression(this.decimals),r=void 0==this.fixed?g:this.fixed,c=this.evaluator.evalExpression(this.value,f,r),parseFloat(c).toString()===c.toString()&&(c=r?parseFloat(c).toFixed(f):a.removeNeedlessDecimals(parseFloat(c).toFixed(f)),c=(""+c).replace(".",this.decimal_symbol)),c+=" ");this.w=a.getTextWidth(c,this.styleString);this.h=k.h}else if("formula"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),
this.getBlockMetric();else if("hyperlink"===this.nodeType){c=a.getFontMetrics(this.styleString);this.baseline=c.baseline;this.descent=c.descent;this.ascent=c.ascent;this.w=a.getTextWidth(this.value,this.styleString);this.h=c.h;this.clickCacher=document.createElement("div");this.clickCacher.setAttribute("style","position: absolute; width: "+this.w+"px; height: "+this.h+"px; cursor: pointer;");var m=new a.OpenURL(this.evaluator.parent,this.URL),s=this;this.clickCacher.addEventListener("click",function(a){s.click=
!0;m.actionExec()})}else if("superIndex"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),f=d,k=b,r=h,c=a.getFontMetrics(this.styleString),this.getBlockMetric(),0>this.h&&(this.ascent=c.ascent,this.descent=c.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),c=r/2-k+this.h,this.superIndexPos=c-this.ascent,this.ascent=c,this.descent=k,this.baseline=this.ascent,this.h=this.ascent+this.descent;else if("subIndex"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),
f=d,k=b,r=h,c=a.getFontMetrics(this.styleString),this.getBlockMetric(),0>this.h&&(this.ascent=c.ascent,this.descent=c.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),this.subIndexPos=k+1,this.ascent=f,this.descent=this.subIndexPos+this.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent;else if("fraction"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);var q=this.children[0],u=this.children[1],c=a.getFontMetrics(q.styleString);q.getBlockMetric();
u.getBlockMetric();f=d;k=b;r=h;0>q.h&&(q.h=c.h,q.w=this.spaceWidth);0>u.h&&(u.h=c.h,u.w=this.spaceWidth);this.h=q.h+u.h-1;this.ascent=q.h+Math.round(r/2)-k;this.descent=this.h-this.ascent;this.baseline=this.ascent;this.w=Math.max(q.w,u.w)+this.spaceWidth+8}else if("radical"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);k=this.children[0].style.clone();if(1===this.children.length)this.children[1]=new a.RTFNode(this.evaluator," ","radicand",k),this.children[1].addChild(this.children[0]),
this.children[0]=new a.RTFNode(this.evaluator," ","index",k);else if("index"!==this.children[0].nodeType||"radicand"!==this.children[1].nodeType){r=new a.RTFNode(this.evaluator,"","radicand",k);c=0;for(f=this.children.length;c<f;c++)r.addChild(this.children[c]);this.children=[];this.children[0]=new a.RTFNode(this.evaluator,"","index",k);this.children[1]=r}c=this.children[0];f=this.children[1];0>=c.children.length&&(k=this.style.clone(),k.fontSize=parseInt(k.fontSize-.2*k.fontSize),c.addChild(new a.RTFNode(this.evaluator,
" ","text",k)));0>=f.children.length&&f.addChild(new a.RTFNode(this.evaluator," ","text",this.style.clone()));c.getBlockMetric();f.getBlockMetric();this.ascent=f.h/2<c.h?f.h/2+c.h+2-f.descent:f.ascent+4;this.descent=f.descent;this.baseline=this.ascent;this.h=this.ascent+this.descent;this.w=c.w+f.w+4*this.spaceWidth}else if("sum"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),f=d,k=b,r=h,k=this.children[0],f=this.children[1],r=this.children[2],k.getBlockMetric(),f.getBlockMetric(),
r.getBlockMetric(),-1==k.ascent&&(q=a.getFontMetrics(k.styleString),k.ascent=q.ascent,k.descent=q.descent,k.h=q.h),-1==f.ascent&&(q=a.getFontMetrics(f.styleString),f.ascent=q.ascent,f.descent=q.descent,f.h=q.h),c=a.getFontMetrics(this.styleString),this.ascent=c.h+f.h>r.ascent?c.h-c.descent+f.h:r.ascent,this.descent=k.h>r.descent?k.h+c.descent:r.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent,c=this.style.clone(),c.fontType="Times New Roman",c.Bold="bold",c=c.toString(),c=a.getTextWidth(String.fromCharCode(8721),
c),this.w=Math.max(k.w,f.w,c)+Math.max(r.w,this.spaceWidth)+this.spaceWidth;else if("integral"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),f=d,k=b,r=h,k=this.children[0],f=this.children[1],r=this.children[2],k.getBlockMetric(),f.getBlockMetric(),r.getBlockMetric(),-1==k.ascent&&(q=a.getFontMetrics(k.styleString),k.ascent=q.ascent,k.descent=q.descent,k.h=q.h),-1==f.ascent&&(q=a.getFontMetrics(f.styleString),f.ascent=q.ascent,f.descent=q.descent,f.h=q.h),c=a.getFontMetrics(this.styleString),
this.ascent=c.h+f.h>r.ascent?c.h-c.descent+f.h:r.ascent,this.descent=k.h>r.descent?k.h+c.descent:r.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent,c=this.style.clone(),c.fontSize*=1.5,c.fontType="Times New Roman",c.Bold="bold",c=c.toString(),c=a.getTextWidth(String.fromCharCode(8747),c),this.w=Math.max(k.w,f.w,c)+Math.max(r.w,this.spaceWidth)+2*this.spaceWidth;else if("limit"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),f=d,k=b,r=h,k=this.children[0],f=this.children[1],
r=this.children[2],c=a.getFontMetrics(this.styleString),k.getBlockMetric(),f.getBlockMetric(),r.getBlockMetric(),-1==k.ascent&&(q=a.getFontMetrics(k.styleString),k.ascent=q.ascent,k.descent=q.descent,k.h=q.h),-1==f.ascent&&(q=a.getFontMetrics(f.styleString),f.ascent=q.ascent,f.descent=q.descent,f.h=q.h),-1==r.ascent&&(q=a.getFontMetrics(r.styleString),r.ascent=q.ascent,r.descent=q.descent,r.h=q.h),this.ascent=r.ascent,this.descent=Math.max(c.h,r.descent),this.baseline=this.ascent,this.h=this.ascent+
this.descent,c=a.getTextWidth(" "+String.fromCharCode(8594),this.styleString),0==k.w&&(k.w=this.spaceWidth),0==f.w&&(f.w=this.spaceWidth),0==r.w&&(r.w=this.spaceWidth),this.w=f.w+k.w+r.w+c+this.spaceWidth;else if("matrix"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);c=a.getFontMetrics(this.styleString);f=d;k=b;r=h;r=c.ascent;for(var q=c.descent,u=c.h,n=this.spaceWidth,v,p,c=0,f=this.children.length;c<f;c++)this.children[c].getBlockMetric(),v=this.children[c].h,p=this.children[c].w,
u<v&&(u=v,r=this.children[c].ascent,q=this.children[c].descent),n<p&&(n=p);this.childWidth=n+2*this.spaceWidth;this.childh=u;this.childAscent=r;this.childDescent=q;this.h=this.rows*u;this.ascent=this.h/2+k;this.descent=this.h-this.ascent;this.w=this.columns*this.childWidth+this.spaceWidth}else if("defparts"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);c=a.getFontMetrics(this.styleString);f=d;k=b;r=h;r=c.ascent;q=c.descent;u=c.h;n=this.spaceWidth;c=0;for(f=this.children.length;c<
f;c++)this.children[c].getBlockMetric(),v=this.children[c].h,p=this.children[c].w,u<v&&(u=v,r=this.children[c].ascent,q=this.children[c].descent),n<p&&(n=p);this.childWidth=n+2*this.spaceWidth;this.childh=u;this.childAscent=r;this.childDescent=q;this.h=this.parts*u;this.ascent=this.h/2+k;this.descent=this.h-this.ascent;this.w=n+this.spaceWidth/2}else"mathSymbol"==this.nodeType?(this.spaceWidth=a.getTextWidth(" ",this.styleString),k=a.getFontMetrics(this.styleString),this.baseline=k.baseline,this.descent=
k.descent,this.ascent=k.ascent,this.w=a.getTextWidth(this.value,this.styleString)+this.spaceWidth,this.h=k.h):"componentNumCtrl"==this.nodeType?(this.spaceWidth=a.getTextWidth(" ",this.styleString),k=a.getFontMetrics(this.styleString),this.componentNumCtrl=this.evaluator.parent.getControlByCId(this.value),this.baseline=k.baseline-2,this.descent=k.descent-2,this.ascent=k.ascent+2,this.h=this.componentNumCtrl.h||1,this.w=this.componentNumCtrl.w||1):"componentSpace"==this.nodeType?(this.spaceWidth=a.getTextWidth(" ",
this.styleString),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,e,g=0,m=this.children.length;g<m;g++){e=this.children[g];e.getTextMetrics();childAscent=e.ascent;childDescent=e.descent;this.w+=e.w;var s=childDescent;e=e.h;d=childAscent;b=s;h=e;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,h,m,s,q,u){c=u;this.stableWidth||(e=h,g=m,this.getTextMetrics());q=q?-this.children[0].ascent:0;m=h=0;for(s=this.children.length;m<s;m++)0<m&&(h+=this.children[m-1].h),this.children[m].draw(a,b+0,d+q+h)};a.RTFNode.prototype.drawTextLineBlock=function(a,b,d){for(var e=0,h=0,g=this.children.length;h<g;h++)a.strokeStyle=c,a.fillStyle=c,0<h&&(e+=this.children[h-
1].w,"formula"==this.children[h-1].nodeType&&(e+=2*this.children[h-1].spaceWidth)),this.children[h].draw(a,b+e,d+this.baseline)};a.RTFNode.prototype.drawFormula=function(a,b,c){for(var d=0,e=0,h=this.children.length;e<h;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.textAlign="start";a.textBaseline="alphabetic";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,c,d){var h=
Math.floor(.5*this.spaceWidth),m=void 0==this.decimals?e:this.evaluator.evalExpression(this.decimals),s=void 0==this.fixed?g:this.fixed,q=this.evaluator.evalExpression(this.value);parseFloat(q).toString()===q.toString()&&(q=s?parseFloat(q).toFixed(m):a.removeNeedlessDecimals(parseFloat(q).toFixed(m)),q=(""+q).replace(".",this.decimal_symbol));null!=this.color&&(b.fillStyle=this.color);b.font=this.styleString;b.textAlign="start";b.textBaseline="alphabetic";this.w=a.getTextWidth(q,this.styleString);
b.fillText(q,h+c,d);this.underline&&(s=(m="bold"==this.style.textBold)?1:.5,b.lineWidth=m?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(h+c-1,parseInt(d+this.descent/2)+s),b.lineTo(h+c-1+this.w,parseInt(d+this.descent/2)+s),b.stroke());this.overline&&(s=(m="bold"==this.style.textBold)?2:1.5,b.lineWidth=m?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(h+c-1,parseInt(d-this.ascent)+s),b.lineTo(h+c-1+this.w,parseInt(d-this.ascent)+s),b.stroke());this.w+=
2*h};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.textAlign="start";
a.textBaseline="alphabetic";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=Math.floor(this.spaceWidth);this.children[0].draw(a,b,Math.floor(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,Math.floor(c+this.children[1].descent-this.children[1].h/2));a.lineTo(b+this.children[0].w,Math.floor(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=Math.floor(.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,h=this.children.length;e<h;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,h=this.children.length;e<h;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,h=this.children.length;e<h;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),h=" "+
String.fromCharCode(8594),g=a.getTextWidth(h,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+g,d+e.descent+this.children[1].ascent);this.children[2].draw(b,c+g+this.children[0].w+this.children[1].w,d);null!=this.color&&(b.fillStyle=this.color);b.font=this.styleString;b.textAlign="start";b.textBaseline="alphabetic";b.fillText("l\u00edm",c+this.children[0].w,d);b.fillText(h,c+this.children[0].w,d+e.descent+this.children[0].ascent)};
a.RTFNode.prototype.drawIntegral=function(b,c,d){var e=this.style.clone();e.fontSize*=1.5;e.fontType="Times New Roman";e.Bold="bold";var e=e.toString(),h=a.getTextWidth(String.fromCharCode(8747),e),g=a.getFontMetrics(e),q=Math.max(this.children[0].w,this.children[1].w,Math.floor(1.5*h));this.children[0].draw(b,c+h,d+g.descent+this.children[0].ascent);this.children[1].draw(b,c+h+this.spaceWidth/2,d-this.ascent+this.children[1].ascent);this.children[2].draw(b,c+q+h,d);null!=this.color&&(b.fillStyle=
this.color);b.font=e;b.textAlign="start";b.textBaseline="alphabetic";b.fillText(String.fromCharCode(8747),c,d+g.descent/2)};a.RTFNode.prototype.drawSum=function(b,c,d){var e=this.style.clone();e.fontType="Times New Roman";e.Bold="bold";var e=e.toString(),h=a.getTextWidth(String.fromCharCode(8721),e),g=a.getFontMetrics(this.styleString),q=Math.max(this.children[0].w,this.children[1].w,h);this.children[0].draw(b,c+(q-this.children[0].w)/2,d+g.descent+this.children[0].ascent);this.children[1].draw(b,
c+(q-this.children[1].w)/2,d-g.ascent-this.children[1].descent);this.children[2].draw(b,c+q,d);null!=this.color&&(b.fillStyle=this.color);b.font=e;b.textAlign="start";b.textBaseline="alphabetic";b.fillText(String.fromCharCode(8721),c+Math.floor((q-h)/2),d-5)};a.RTFNode.prototype.drawMatrix=function(a,b,c){for(var d,e,h=0,g=this.children.length;h<g;h++)d=h%this.columns,e=Math.floor(h/this.columns),this.children[h].draw(a,2*this.spaceWidth+b+d*this.childWidth,c-this.ascent+this.childAscent+e*this.childh);
a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(Math.floor(b+this.spaceWidth)+.5,c-this.ascent+.5);a.lineTo(Math.floor(b+this.spaceWidth/2)+.5,c-this.ascent+.5);a.lineTo(Math.floor(b+this.spaceWidth/2)+.5,c+this.descent+.5);a.lineTo(Math.floor(b+this.spaceWidth)+.5,c+this.descent+.5);a.moveTo(Math.floor(b+this.w-this.spaceWidth)-.5,c-this.ascent+.5);a.lineTo(Math.floor(b+this.w-this.spaceWidth/2)-.5,c-this.ascent+.5);a.lineTo(Math.floor(b+this.w-this.spaceWidth/2)-
.5,c+this.descent+.5);a.lineTo(Math.floor(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+3*this.spaceWidth,c-this.ascent+this.childAscent+d%this.parts*this.childh);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(parseInt(b+2*this.spaceWidth)+.5,c-this.ascent+.5);a.lineTo(parseInt(b+2*this.spaceWidth)-4.5,c-this.ascent+4.5);a.lineTo(parseInt(b+
2*this.spaceWidth)-4.5,c+this.descent-this.h/2-4.5);a.lineTo(b-.5,c+this.descent-this.h/2);a.lineTo(parseInt(b+2*this.spaceWidth)-4.5,c+this.descent-this.h/2+4.5);a.lineTo(parseInt(b+2*this.spaceWidth)-4.5,c+this.descent-4.5);a.lineTo(parseInt(b+2*this.spaceWidth)+.5,c+this.descent+.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.textAlign="start",
a.textBaseline="alphabetic",a.fillText("(",b,c)):")"==this.value?(a.font=this.styleString,a.textAlign="start",a.textBaseline="alphabetic",a.fillText(")",b+this.spaceWidth,c)):(a.font=this.styleString,a.textAlign="center",a.textBaseline="alphabetic",a.fillText(this.value,b+this.w/2,c))};a.RTFNode.prototype.drawGenericBlock=function(a,b,c){for(var d=0,e=0,h=this.children.length;e<h;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+"");this.componentSpace.yExpr=this.evaluator.parser.parse(c-this.parent.ascent+"")};a.RTFNode.prototype.draw=function(a,b,c){console.log(">>> Dibujo desconocido ",this.nodeType)};a.RTFNode.prototype.toHTML=
function(){var a="";if("textLineBlock"===this.nodeType||"textBlock"===this.nodeType)for(var b=0,c=this.children.length;b<c;b++)a+=this.children[b].toHTML();else"text"===this.nodeType?a="<span "+this.style.toCSS()+">"+this.value+"</span>":"newLine"===this.nodeType&&(a="<span "+this.style.toCSS()+">"+this.value+"<br /></span>");return a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e=String.fromCharCode,g,c,d,b,h,l,f,k,r,m,s;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[];g=[];c=a.length;g=[];d="";h=b=0;f=a.charAt(0);k=!1;for(r="text";b<c;)l=f,f=a.charAt(b+1),k?"\\"===f||"{"===f||"}"===f||" "===f||";"===f?(k=!1,d+=l," "===f&&(b++,f=a.charAt(b+1)),(m=d.match(/^\'([0-9a-f]{2})/))?(s="","text"===r&&(s=
g.pop().value),d=s+=e(parseInt(m[1],16))+d.substring(3)):(m=d.match(/^u[0-9]+/))?(s="","text"===r&&(s=g.pop().value),d=s+=e(m[0].substring(1))):("{"===d||"}"===d?(g.push({type:"text",value:d}),r="text"):(g.push({type:"controlWord",value:d}),r="controlWord"),d="")):d+=l:"\\"===l?(k=!0,""!==d&&(g.push({type:"text",value:d}),r="text"),d=""):"{"===l?(h++,""!==d&&g.push({type:"text",value:d}),d="",g.push({type:"openBlock",value:h}),r="openBlock"):"}"===l?(""!==d&&g.push({type:"text",value:d}),d="",g.push({type:"closeBlock",
value:h}),r="closeBlock",h--):d+=l,b++;""!==d&&g.push({type:"text",value:d});return g};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b,h,l,f,k,r,m,s,q,u,n,v,p,t,w,z,B,y,D,E,C,A,I,G,H,K;a.RTFParser=function(b){this.evaluator=b;this.tokenizer=new a.RTFTokenizer};a.RTFParser.prototype.parse=function(x){x=e=this.tokenizer.tokenize(x);for(var L=[],F=!1,M=!1,N=[],J=0,R=x.length;J<R;J++)if("openBlock"==x[J].type&&N.push(x[J].value),"closeBlock"==x[J].type&&(N.pop(),
0>=N.length&&(F=!1)),"controlWord"!=x[J].type||"expr"!=x[J].value&&"decimals"!=x[J].value||(M=!0),"controlWord"==x[J].type&&"mjaformula"==x[J].value&&(F=!0),"text"==x[J].type&&F&&!M){for(var S=0,P=x[J].value,Q="",O=0,V=P.length;O<V;O++)if("("==P.charAt(O)||")"==P.charAt(O)||"+"==P.charAt(O)||"-"==P.charAt(O)||"*"==P.charAt(O)||"="==P.charAt(O))Q=P.substring(S,O),""!=Q&&L.push({type:"text",value:Q}),L.push({type:P.charAt(O),value:P.charAt(O)}),S=O+1;Q=P.substring(S,O);""!=Q&&L.push({type:"text",value:Q})}else L.push(x[J]),
"text"==x[J].type&&M&&(M=!1);e=L;g={};d=2;if("openBlock"==e[0].type&&"fonttbl"==e[1].value){for(c=e[0].value;"closeBlock"!=e[d].type&&e[d].value!=c;)g[e[d].value]=e[d+2].value.substring(0,e[d+2].value.length-1),d+=3;d++}b={};h=0;if("openBlock"==e[d].type&&"colortbl"==e[d+1].value){c=e[d++].value;for(d++;"closeBlock"!=e[d].type&&e[d].value!=c;)l=parseInt(e[d++].value.substring(3)).toString(16),f=parseInt(e[d++].value.substring(5)).toString(16),k=parseInt(e[d++].value.substring(4)).toString(16),";"===
e[d].value&&d++,b[h++]="#"+(2>l.length?"0"+l:l)+(2>f.length?"0"+f:f)+(2>k.length?"0"+k:k);d++}r=new a.RTFNode(this.evaluator,"","textBlock","",!1,"");m=new a.RTFNode(this.evaluator,"","textLineBlock","",!1,"");r.addChild(m);u=q=s=null;z=w=t=p=v=n=!1;B=[new a.FontStyle(20,"Arial","","",!1,!1,null)];y=B[0];D=!0;C=E=-1;A=[];K=H=G=I=!1;x=d;for(L=e.length;x<L;x++)if("controlWord"==e[x].type&&g[e[x].value])y.fontType=g[e[x].value];else if("controlWord"==e[x].type&&e[x].value.match(/^fs(\d+)/))y.fontSize=
parseInt(e[x].value.match(/^fs(\d+)/)[1]/2);else if("controlWord"==e[x].type&&"b"==e[x].value)y.textBold="bold";else if("controlWord"==e[x].type&&"b0"==e[x].value)y.textBold="";else if("controlWord"==e[x].type&&"i"==e[x].value)y.textItalic="oblique";else if("controlWord"==e[x].type&&"i0"==e[x].value)y.textItalic="";else if("controlWord"==e[x].type&&"ul"==e[x].value)y.textUnderline=!0;else if("controlWord"==e[x].type&&"ulnone"==e[x].value)y.textUnderline=!1;else if("controlWord"==e[x].type&&"ol"==
e[x].value)y.textOverline=!0;else if("controlWord"==e[x].type&&"olnone"==e[x].value)y.textOverline=!1;else if("controlWord"==e[x].type&&e[x].value.match(/^cf(\d+)/))y.textColor=b[parseInt(e[x].value.substring(2))],0<A.length&&(A[A.length-1].style.textColor=y.textColor);else if("openBlock"==e[x].type)E=e[x].value,y=y.clone(),B.push(y),A.push(null);else if("closeBlock"==e[x].type)e[x].value==C&&(C=-1,n=!1,m=m.parent),B.pop(),y=B[B.length-1],A.pop();else if("controlWord"==e[x].type&&"par"==e[x].value){m.addChild(new a.RTFNode(this.evaluator,
"","newLine",y.clone()));r=new a.RTFNode(this.evaluator,"","textLineBlock",y.clone());if("textBlock"!=m.nodeType)for(m=m.parent;"textBlock"!=m.nodeType;)m=m.parent;m.addChild(r);m=r}else if("controlWord"==e[x].type&&"mjaformula"==e[x].value)I=!0,C=E,n=!0,r=new a.RTFNode(this.evaluator,"","formula",y.clone()),m.addChild(r),m=r,A[A.length-1]=r;else if("controlWord"==e[x].type&&("fraction"==e[x].value||"radicand"==e[x].value||"radical"==e[x].value||"what"==e[x].value||"sum"==e[x].value||"integral"==
e[x].value||"limit"==e[x].value))F=A[A.length-2].style.clone(),r=new a.RTFNode(this.evaluator,"",e[x].value,F),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==e[x].type&&"index"==e[x].value||"to"==e[x].value||"from"==e[x].value)F=A[A.length-2].style.clone(),F.fontSize=parseInt(F.fontSize-.2*F.fontSize),8>F.fontSize&&(F.fontSize=8),r=new a.RTFNode(this.evaluator,"",e[x].value,F),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==e[x].type&&("num"==e[x].value||"den"==
e[x].value))F=A[A.length-2].style.clone(),F.fontSize=Math.round(F.fontSize-.1*F.fontSize),8>F.fontSize&&(F.fontSize=8),"num"==e[x].value?r=new a.RTFNode(this.evaluator,"","numerator",F):"den"==e[x].value&&(r=new a.RTFNode(this.evaluator,"","denominator",F)),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==e[x].type&&("subix"==e[x].value||"supix"==e[x].value))F=A[A.length-2].style.clone(),F.fontSize=Math.floor(F.fontSize-F.fontSize/3),8>F.fontSize&&(F.fontSize=8),"subix"==e[x].value?
r=new a.RTFNode(this.evaluator,"","subIndex",F):"supix"==e[x].value&&(r=new a.RTFNode(this.evaluator,"","superIndex",F)),r.originalStyle=A[A.length-2].style.clone(),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==e[x].type&&("defparts"==e[x].value||"matrix"==e[x].value||"element"==e[x].value))F=A[A.length-2].style.clone(),r=new a.RTFNode(this.evaluator,"",e[x].value,F),A[A.length-2].addChild(r),A[A.length-1]=r,"defparts"==e[x].value?u=r:"matrix"==e[x].value&&(q=r);else if("controlWord"==
e[x].type&&"parts"==e[x].value)z=!0;else if("text"==e[x].type&&z)u.parts=parseInt(e[x].value),z=!1;else if("controlWord"==e[x].type&&"rows"==e[x].value)t=!0;else if("text"==e[x].type&&t)q.rows=parseInt(e[x].value),t=!1;else if("controlWord"==e[x].type&&"columns"==e[x].value)w=!0;else if("text"==e[x].type&&w)q.columns=parseInt(e[x].value),w=!1;else if("controlWord"==e[x].type&&"expr"==e[x].value)D=!1,v=!0;else if("controlWord"==e[x].type&&"decimals"==e[x].value)p=!0;else if("text"==e[x].type&&p)s.decimals=
this.evaluator.parser.parse(e[x].value+""),p=!1;else if("controlWord"==e[x].type&&"fixed1"==e[x].value)s.fixed=!0;else if("controlWord"==e[x].type&&"fixed0"==e[x].value)s.fixed=!1;else if("controlWord"!=e[x].type||"component"!=e[x].value)if("controlWord"==e[x].type&&"NumCtrl"==e[x].value)G=!0;else if("controlWord"==e[x].type&&"Space"==e[x].value)H=!0;else if("controlWord"==e[x].type&&"hyperlink"==e[x].value)K=!0;else if("text"==e[x].type&&K){textContent=e[x].value.split("|")[0];F=y.clone();r=new a.RTFNode(this.evaluator,
textContent,"hyperlink",F);r.URL=e[x].value.split("|")[1];if("textLineBlock"!=m.nodeType)for(m=m.parent;"textLineBlock"!=m.nodeType;)m=m.parent;m.addChild(r);K=!1}else if("text"==e[x].type&&G)r=new a.RTFNode(this.evaluator,e[x].value,"componentNumCtrl",y.clone()),m.addChild(r),G=!1;else if("text"==e[x].type&&H)r=new a.RTFNode(this.evaluator,e[x].value,"componentSpace",y.clone()),m.addChild(r),H=!1;else if("text"==e[x].type&&v)F=A[A.length-2].style.clone(),textContent=this.evaluator.parser.parse(e[x].value),
r=new a.RTFNode(this.evaluator,textContent,"dynamicText",F),A[A.length-2].addChild(r),s=A[A.length-1]=r,v=!1;else if("text"==e[x].type&&!v&&!n){textContent=e[x].value;r=new a.RTFNode(this.evaluator,textContent,"text",y.clone());if("textLineBlock"!=m.nodeType)for(m=m.parent;"textLineBlock"!=m.nodeType;)m=m.parent;m.addChild(r)}else if("text"==e[x].type&&!v&&n)textContent=e[x].value,r=new a.RTFNode(this.evaluator,textContent,"text",A[A.length-1].style.clone()),A[A.length-1].addChild(r);else if("("==
e[x].type||")"==e[x].type)F=A[A.length-1].style.clone(),F.textItalic="",r=new a.RTFNode(this.evaluator,e[x].type,"mathSymbol",F),A[A.length-1].addChild(r);else if("+"==e[x].type||"-"==e[x].type||"*"==e[x].type||"="==e[x].type)r=new a.RTFNode(this.evaluator,e[x].type,"mathSymbol",A[A.length-1].style.clone()),A[A.length-1].addChild(r);if(null!=m){var U=m.getRoot();U.stableWidth=D;U.getTextMetrics();U.hasFormula=I}return U};a.FontStyle=function(a,b,c,d,f,e,h){this.fontSize=a;this.fontType=b;this.textItalic=
c;this.textBold=d;this.textUnderline=f;this.textOverline=e;this.textColor=h};a.FontStyle.prototype.toString=function(){"arial"==this.fontType.toLowerCase()?this.fontType="descartesJS_sansserif,Arial,Helvetica,Sans-serif":this.fontType.toLowerCase().match("times")?this.fontType="descartesJS_serif,'Times New Roman',Times,serif":this.fontType.toLowerCase().match("courier")&&(this.fontType="descartesJS_monospace,'Courier New',Courier,Monospace");return(this.textBold+" "+this.textItalic+" "+this.fontSize+
"px "+this.fontType).trim()};a.FontStyle.prototype.toCSS=function(){var a="style='font: "+this.fontSize+"px "+this.fontType+"; ";this.textUnderline&&!this.textOverline&&(a+="text-decoration: underline; ");!this.textUnderline&&this.textOverline&&(a+="text-decoration: overline; ");this.textUnderline&&this.textOverline&&(a+="text-decoration: underline overline; ");this.textBold&&!this.textItalic&&(a+="font-style: normal; font-weight: bold; ");!this.textBold&&this.textItalic&&(a+="font-style: oblique; font-weight: normal; ");
this.textBold&&this.textItalic&&(a+="font-style: oblique; font-weight: bold; ");this.textBold||this.textItalic||(a+="font-style: normal; font-weight: normal; ");this.textColor&&(a+="color: "+this.textColor+"; ");return a+"'"};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 e,g,c,d,b,h,l,f,k,r,m,s,
q,u;a.Space=function(b,d){this.parent=b;g=this.evaluator=this.parent.evaluator;c=g.parser;this.id="";this.values=d;this.type="R2";this.xExpr=c.parse("0");this.yExpr=c.parse("0");this.w=parseInt(b.container.width);this.h=parseInt(b.container.height);this.drawif=c.parse("1");this.fixed=2!=b.version?!1:!0;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="descinst.com.mja.descartes.DescartesJS.class"===
b.code||b.arquimedes?new a.Color("f0f8fa"):new a.Color("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.x_axis=2!=b.version?"":" ";this.y_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.backgroundGraphics=[];this.zIndex=b.zIndex;this.plecaHeight=
b.plecaHeight||0;this.displaceRegionNorth=b.displaceRegionNorth||0;this.displaceRegionWest=b.displaceRegionWest||0;for(var f in d)d.hasOwnProperty(f)&&(this[f]=d[f]);this.init()};a.Space.prototype.init=function(){e=this.parent;g=this.evaluator;d=this.id;this.displaceRegionNorth=e.displaceRegionNorth||0;this.displaceRegionWest=e.displaceRegionWest||0;void 0!=this.wExpr&&(this.w=(parseInt(e.container.width)-this.displaceRegionWest)*parseFloat(this.wExpr)/100);void 0!=this.hExpr&&(this.h=(parseInt(e.container.height)-
this.displaceRegionNorth)*parseFloat(this.hExpr)/100);l=parseInt(e.container.height);f=parseInt(e.container.width);this.x=g.evalExpression(this.xExpr)+this.displaceRegionWest;this.y=g.evalExpression(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?(b=l-this.y,this.h>b&&(this.h=b)):(b=this.h+this.y,this.h=b>=l?l:b);0<=this.x?(h=f-this.x,this.w>h&&(this.w=h)):(h=this.w+this.x,this.w=h>=f?f:h);
""==this.imageSrc&&this.imageSrc.trim().toLowerCase().match(/vacio.gif$/)||(this.image=e.getImage(this.imageSrc));this.OxExpr&&(r=this.OxExpr,"%"===r[r.length-1]?this.Ox=this.w*parseFloat(r)/100:(k=parseFloat(r),k!=r&&(k=0),this.Ox=k));this.OyExpr&&(m=this.OyExpr,"%"===m[m.length-1]?this.Oy=this.h*parseFloat(m)/100:(k=parseFloat(m),k!=m&&(k=0),this.Oy=k));""!==this.id&&2!==e.version?(g.setVariable(d+"._w",this.w),g.setVariable(d+"._h",this.h),g.setVariable(d+".escala",this.scale),g.setVariable(d+
".Ox",this.Ox),g.setVariable(d+".Oy",this.Oy),g.setVariable(d+".mouse_x",0),g.setVariable(d+".mouse_y",0),g.setVariable(d+".mouse_pressed",0),g.setVariable(d+".mouse_clicked",0),g.setVariable(d+".clic_izquierdo",0)):(k=g.getVariable("_w"),void 0===k&&(k=this.w),g.setVariable("_w",k),k=g.getVariable("_h"),void 0===k&&(k=this.h),g.setVariable("_h",k),k=g.getVariable("escala"),void 0===k&&(k=this.scale),g.setVariable("escala",k),k=g.getVariable("Ox"),void 0===k&&(k=this.Ox),g.setVariable("Ox",k),k=g.getVariable("Oy"),
void 0===k&&(k=this.Oy),g.setVariable("Oy",k),g.setVariable("mouse_x",0),g.setVariable("mouse_y",0),g.setVariable("mouse_pressed",0),g.setVariable("mouse_clicked",0),g.setVariable("clic_izquierdo",0),""===this.x_axis&&""===this.y_axis&&2==e.version&&(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.backgroundGraphics.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};a.Space.prototype.findOffset=function(){s=this.container;this.offsetTop=this.offsetLeft=0;this.container&&this.container.style&&(q=this.container.style.display);this.container.style.display="block";if(s.getBoundingClientRect){var a=s.getBoundingClientRect();this.offsetLeft=a.left;this.offsetTop=a.top}else for(;s;)s.tagName&&"html"!==s.tagName.toLowerCase()?(this.offsetLeft+=s.offsetLeft||0,this.offsetTop+=s.offsetTop||0,s=s.parentNode):s=null;this.container&&
this.container.style&&(this.container.style.display=q)};a.Space.prototype.getCursorPosition=function(b){u=a.getCursorPosition(b);return{x:u.x-this.offsetLeft,y:u.y-this.offsetTop}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e;a.SpaceExternal=function(a){e=this;e.parent=a;e.width=228;e.vSpace=25;e.container=document.createElement("div");e.container.setAttribute("style","-webkit-box-sizing: border-box; -moz-box-sizing: border-box; box-sizing: border-box; border-style: ridge; border-width: 5px; border-color: gray; box-shadow: #000 0px 0px 25px 5px; overflow-y: scroll; overflow-x: hidden; position: fixed; left: 0px; top: 0px; z-index: 10000; width: "+
(e.width+27)+"px; height: 460px; background-color: #63b4fb");e.moveManipulator=document.createElement("div");e.moveManipulator.setAttribute("style"," position: absolute; left: 0px; top: 0px; width: "+(e.width+27)+"px; height: "+e.vSpace+"px; line-height: "+e.vSpace+"px; background-color: ddd; cursor: move; padding-left: 75px; font-family: Sans-Serif; font-size: 18px;");e.moveManipulator.innerHTML="Descartes";e.container.appendChild(e.moveManipulator);e.ctrs=[]};a.SpaceExternal.prototype.init=function(){function e(b){d.newPosition=
a.getCursorPosition(b);d.container.style.left=d.initialPosition.x+(d.newPosition.x-d.oldPosition.x)+"px";d.container.style.top=d.initialPosition.y+(d.newPosition.y-d.oldPosition.y)+"px"}function c(a){a.preventDefault();d.findOffset();document.body.removeEventListener("mousemove",e);document.body.removeEventListener("mouseup",c)}document.body.appendChild(this.container);var d=this,b=d.parent.evaluator.parser,h;h=0;for(var l=d.ctrs.length;h<l;h++)d.ctrs[h].expresion=b.parse("(0,"+(d.vSpace+23+35*h)+
","+d.width+",35)"),d.ctrs[h].update();d.numCtr=l;h="espa\u00f1ol"==d.language?"cr\u00e9ditos":"english"==d.language?"about":"cr\u00e9ditos";h=new a.Button(d.parent,{region:"external",name:h,font_size:b.parse("15"),expresion:b.parse("(0,"+d.vSpace+","+d.width/2+",25)")});h.actionExec={execute:a.showAbout};h.update();(new a.Button(d.parent,{region:"external",name:"config",font_size:b.parse("15"),action:"config",expresion:b.parse("("+d.width/2+","+d.vSpace+","+d.width/2+",25)")})).update();h="espa\u00f1ol"==
d.language?"inicio":"english"==d.language?"init":"inicio";(new a.Button(d.parent,{region:"external",name:h,font_size:b.parse("15"),action:"init",expresion:b.parse("(0,"+(d.vSpace+23+35*l)+","+d.width/2+",25)")})).update();h="espa\u00f1ol"==d.language?"limpiar":"english"==d.language?"clear":"limpiar";(new a.Button(d.parent,{region:"external",name:h,font_size:b.parse("15"),action:"clear",expresion:b.parse("("+d.width/2+","+(d.vSpace+23+35*l)+","+d.width/2+",25)")})).update();h="espa\u00f1ol"==d.language?
"cerrar":"close";b=new a.Button(d.parent,{region:"external",name:h,font_size:b.parse("15"),expresion:b.parse("("+d.width/4+","+(d.vSpace+46+35*l)+","+d.width/2+",25)")});b.update();b.canvas.addEventListener("click",function(a){d.hide()});d.setPositionAndSize();d.moveManipulator.addEventListener("mousedown",function(b){b.preventDefault();d.oldPosition=a.getCursorPosition(b);d.initialPosition={x:d.container.offsetLeft,y:d.container.offsetTop};document.body.addEventListener("mousemove",e);document.body.addEventListener("mouseup",
c)});d.findOffset();d.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(){var a=this.vSpace+46+35*this.numCtr+25+10;this.container.style.left=Math.max(parseInt(window.innerWidth-this.width)/2,0)+"px";this.container.style.top="5px";this.container.style.height=
window.innerHeight<this.vSpace+75?this.vSpace+75+"px":a>window.innerHeight-10?window.innerHeight-10:a+"px"};a.SpaceExternal.prototype.findOffset=function(){tmpContainer=this.container;this.offsetTop=this.offsetLeft=0;this.container&&this.container.style&&(tmpDisplay=this.container.style.display);this.container.style.display="block";if(tmpContainer.getBoundingClientRect){var a=tmpContainer.getBoundingClientRect();this.offsetLeft=a.left;this.offsetTop=a.top}else for(;tmpContainer;)tmpContainer.tagName&&
"html"!==tmpContainer.tagName.toLowerCase()?(this.offsetLeft+=tmpContainer.offsetLeft||0,this.offsetTop+=tmpContainer.offsetTop||0,tmpContainer=tmpContainer.parentNode):tmpContainer=null;this.container&&this.container.style&&(this.container.style.display=tmpDisplay);for(var a=0,c=this.ctrs.length;a<c;a++)this.ctrs[a].findOffset&&this.ctrs[a].findOffset()};return a}(descartesJS||{}),descartesJS=function(a){var e,g;if(a.loadLib)return a;var c=Math.floor,d=Math.round,b=2*Math.PI,h=a.convertFont("SansSerif,PLAIN,12"),
l=a.convertFont("Monospaced,PLAIN,12"),f,k,r,m,s,q,u,n,v,p,t,w,z,B,y,D,E,C,A,I,G,H,K,x,L,F,M,N,J;a.Space2D=function(b,c){a.Space.call(this,b,c);f=this;f._ratio=5E6<f.w*a._ratio*f.h*a._ratio?1:a._ratio;f.backgroundCanvas=document.createElement("canvas");f.backgroundCanvas.setAttribute("id",f.id+"_background");f.backgroundCanvas.width=f.w*f._ratio;f.backgroundCanvas.height=f.h*f._ratio;f.backgroundCanvas.style.width=f.w+"px";f.backgroundCanvas.style.height=f.h+"px";f.backgroundCtx=f.backgroundCanvas.getContext("2d");
f.backgroundCtx.imageSmoothingEnabled=!1;f.backgroundCtx.mozImageSmoothingEnabled=!1;f.backgroundCtx.webkitImageSmoothingEnabled=!1;f.canvas=document.createElement("canvas");f.canvas.setAttribute("id",f.id+"_canvas");f.canvas.width=f.w*f._ratio;f.canvas.height=f.h*f._ratio;f.canvas.setAttribute("class","DescartesSpace2DCanvas");f.canvas.setAttribute("style","z-index: "+f.zIndex+"; width:"+f.w+"px; height:"+f.h+"px;");f.ctx=f.canvas.getContext("2d");f.ctx.imageSmoothingEnabled=!1;f.ctx.mozImageSmoothingEnabled=
!1;f.ctx.webkitImageSmoothingEnabled=!1;f.graphicControlContainer=document.createElement("div");f.graphicControlContainer.setAttribute("id",f.id+"_graphicControls");f.graphicControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+f.zIndex+";");f.numericalControlContainer=document.createElement("div");f.numericalControlContainer.setAttribute("id",f.id+"_numericalControls");f.numericalControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+
f.zIndex+";");f.container=document.createElement("div");f.container.setAttribute("id",f.id);f.container.setAttribute("class","DescartesSpace2DContainer");f.container.setAttribute("style","left: "+f.x+"px; top: "+f.y+"px; z-index: "+f.zIndex+";");f.parent.arquimedes&&"#f0f8fa"===f.background.getColor()&&(f.container.style.border="1px solid #b8c4c8");f.container.appendChild(f.backgroundCanvas);f.container.appendChild(f.canvas);f.container.appendChild(f.graphicControlContainer);f.container.appendChild(f.numericalControlContainer);
b.container.insertBefore(f.container,b.loader);f.parent.images[f.id+".image"]=f.canvas;f.parent.images[f.id+".image"].ready=1;f.parent.images[f.id+".image"].complete=!0;f.evaluator.setVariable(f.id+".image",f.id+".image");f.parent.images[f.id+".back"]=f.backgroundCanvas;f.parent.images[f.id+".back"].ready=1;f.parent.images[f.id+".back"].complete=!0;f.evaluator.setVariable(f.id+".back",f.id+".back");""!==f.id&&2!==b.version?(f.OxString=f.id+".Ox",f.OyString=f.id+".Oy",f.scaleString=f.id+".escala",
f.wString=f.id+"._w",f.hString=f.id+"._h",f.mxString=f.id+".mouse_x",f.myString=f.id+".mouse_y",f.mpressedString=f.id+".mouse_pressed",f.mclickedString=f.id+".mouse_clicked",f.mclicizquierdoString=f.id+".clic_izquierdo",f.kpressedString=f.id+".key_pressed",f.kvalueString=f.id+".key_value"):(f.OxString="Ox",f.OyString="Oy",f.scaleString="escala",f.wString="_w",f.hString="_h",f.mxString="mouse_x",f.myString="mouse_y",f.mpressedString="mouse_pressed",f.mclickedString="mouse_clicked",f.mclicizquierdoString=
"clic_izquierdo",f.kpressedString="key_pressed",f.kvalueString="key_value");f.click=0;"descartesJS_scenario"!==f.id?f.registerMouseAndTouchEvents():f.canvas.oncontextmenu=function(a){return!1}};a.extend(a.Space2D,a.Space);a.Space2D.prototype.init=function(){f=this;f.uber.init.call(f);f.canvas&&(f.backgroundCanvas.width=f.w*f._ratio,f.backgroundCanvas.height=f.h*f._ratio,f.backgroundCanvas.style.width=f.w+"px",f.backgroundCanvas.style.height=f.h+"px",f.canvas.width=f.w*f._ratio,f.canvas.height=f.h*
f._ratio,f.canvas.style.width=f.w+"px",f.canvas.style.height=f.h+"px");f.container&&f.findOffset()};a.Space2D.prototype.update=function(a){f=this;k=f.evaluator;r=f.parent;k.setVariable(f.wString,f.w);k.setVariable(f.hString,f.h);f.drawIfValue=0<k.evalExpression(f.drawif);if(f.drawIfValue){s=f.x!==k.evalExpression(f.xExpr)+f.displaceRegionWest;q=f.y!==k.evalExpression(f.yExpr)+r.plecaHeight+f.displaceRegionNorth;f.spaceChange=a||s||q||f.drawBefore!==f.drawIfValue||f.Ox!==k.getVariable(f.OxString)||
f.Oy!==k.getVariable(f.OyString)||f.scale!==k.getVariable(f.scaleString)||f.backColor!==f.background.getColor();f.x=s?k.evalExpression(f.xExpr)+f.displaceRegionWest:f.x;f.y=q?k.evalExpression(f.yExpr)+r.plecaHeight+f.displaceRegionNorth:f.y;f.Ox=k.getVariable(f.OxString);f.Oy=k.getVariable(f.OyString);f.scale=k.getVariable(f.scaleString);f.drawBefore=f.drawIfValue;1E-6>f.scale?(f.scale=1E-6,k.setVariable(f.scaleString,1E-6)):1E6<f.scale&&(f.scale=1E6,k.setVariable(f.scaleString,1E6));if(s||q)f.container.style.left=
f.x+"px",f.container.style.top=f.y+"px",f.findOffset();f.container.style.display="block";f.drawTrace=!f.spaceChange&&(!f.fixed&&!f.click||f.fixed);f.spaceChange&&(f.backgroundCtx.setTransform(f._ratio,0,0,f._ratio,0,0),f.drawBackground(),f.backgroundCtx.setTransform(1,0,0,1,0,0));f.ctx.setTransform(f._ratio,0,0,f._ratio,0,0);f.draw();f.ctx.setTransform(1,0,0,1,0,0)}else f.container.style.display="none"};a.Space2D.prototype.drawBackground=function(){k=this.evaluator;m=this.backgroundCtx;m.clearRect(0,
0,this.backgroundCanvas.width,this.backgroundCanvas.height);this.backColor=this.background.getColor();m.fillStyle=this.backColor;m.fillRect(0,0,this.backgroundCanvas.width,this.backgroundCanvas.height);this.image&&""!=this.image.src&&this.image.ready&&this.image.complete&&("topleft"===this.bg_display?m.drawImage(this.image,0,0):"stretch"===this.bg_display?m.drawImage(this.image,0,0,this.w,this.h):"patch"===this.bg_display?(m.fillStyle=m.createPattern(this.image,"repeat"),m.fillRect(0,0,this.canvas.width,
this.canvas.height)):"imgcenter"===this.bg_display&&m.drawImage(this.image,(this.w-this.image.width)/2,(this.h-this.image.height)/2));n=this.scale;v=0;for(p=0>this.w+this.h?0:this.w+this.h;n>p;)n/=10,v++;for(;n<p/10;)n*=10;m.lineWidth=1;""!==this.net&&(m.strokeStyle=this.net.getColor(),this.drawMarks(m,n/10,-1));if(2!==this.parent.version&&""!==this.net10||2===this.parent.version&&""!==this.net&&""!==this.net10)m.strokeStyle=this.net10.getColor(),this.drawMarks(m,n,-1);if(""!==this.axes){m.strokeStyle=
this.axes.getColor();m.beginPath();if(""!==this.x_axis||2!==this.parent.version)m.moveTo(0,c(this.h/2+this.Oy)+.5),m.lineTo(this.w,c(this.h/2+this.Oy)+.5);if(""!==this.y_axis||2!==this.parent.version)m.moveTo(c(this.w/2+this.Ox)+.5,0),m.lineTo(c(this.w/2+this.Ox)+.5,this.h);m.stroke();this.drawMarks(m,n,4);this.drawMarks(m,n/2,2);this.drawMarks(m,n/10,1)}if(""!==this.x_axis||""!==this.y_axis)m.fillStyle=""!==this.axes?this.axes.getColor():"black",m.font=h,m.textAlign="right",m.textBaseline="alphabetic",
m.fillText(this.x_axis,c(this.w)-2,c(this.h/2+this.Oy)+12),m.fillText(this.y_axis,c(this.w/2+this.Ox)-2,12);this.numbers&&""!=this.axes&&(m.fillStyle=this.axes.getColor(),m.font=h,m.textAlign="start",m.textBaseline="bottom",n>(this.w+this.h)/2?this.drawNumbers(m,n/5,n<=this.scale?v+1:v):n>(this.w+this.h)/4?this.drawNumbers(m,n/2,n<=this.scale?v+1:v):this.drawNumbers(m,n,v));for(var a=0,b=this.backgroundGraphics.length;a<b;a++)this.backgroundGraphics[a].draw()};a.Space2D.prototype.draw=function(){m=
this.ctx;m.clearRect(0,0,this.canvas.width,this.canvas.height);for(var a=0,d=this.graphics.length;a<d;a++)u=this.graphics[a],""!==u.trace&&this.drawTrace&&u.drawTrace(),u.draw();a=0;for(d=this.graphicsCtr.length;a<d;a++)this.graphicsCtr[a].draw();""!=this.text&&this.click&&"L"===this.whichButton&&(m.fillStyle=this.text.getColor(),m.strokeStyle=m.fillStyle,m.lineWidth=1,m.font=l,m.textAlign="center",m.textBaseline="alphabetic",G=1>=this.scale?this.mouse_x.toFixed(0):this.mouse_x.toFixed(this.scale.toString().length),
H=1>=this.scale?this.mouse_y.toFixed(0):this.mouse_y.toFixed(this.scale.toString().length),K="("+G+","+H+")",x=c(m.measureText(K).width/2),L=this.getAbsoluteX(this.mouse_x),F=this.getAbsoluteY(this.mouse_y),M=c(L),N=c(F-10),M+x>this.w?M=this.w-x:0>M-x&&(M=x),N+1>this.h?N=this.h:0>N-14&&(N=15),m.fillText(K,M,N),m.beginPath(),m.arc(L,F,2.5,0,b,!0),m.stroke())};a.Space2D.prototype.drawMarks=function(a,b,f){t=this.w;w=this.h;E=0;C=t;A=0;I=w;y=c(t/2+this.Ox);D=c(w/2+this.Oy);0<=f&&(E=y-f,C=y+f,A=D-f,I=
D+f);a.beginPath();for(f=-d(y/b);(z=y+d(f*b))<t;f++)a.moveTo(z+.5,A+.5),a.lineTo(z+.5,I+.5);for(f=-d(D/b);(B=D+d(f*b))<w;f++)a.moveTo(E+.5,B+.5),a.lineTo(C+.5,B+.5);a.stroke()};a.Space2D.prototype.drawNumbers=function(a,b,f){t=this.w;w=this.h;y=c(t/2+this.Ox);D=c(w/2+this.Oy);for(f=-d(y/b);(z=y+d(f*b))<t;f++)a.fillText(parseFloat((f*b/this.scale).toFixed(4)),z+1,D-2);for(f=-d(D/b);(B=D+d(f*b))<w;f++)0!==parseFloat(-f*b/this.scale)&&a.fillText(parseFloat((-f*b/this.scale).toFixed(4)),y+5,B+5)};a.Space2D.prototype.registerMouseAndTouchEvents=
function(){function b(a){document.body.focus();if(k.evaluator.variables[k.id+".DESCARTESJS_no_fixed"]||!k.fixed||k.sensitive_to_mouse_movements)k.parent.clearClick(),k.click=1,k.evaluator.setVariable(k.mpressedString,1),k.evaluator.setVariable(k.mclickedString,0),k.evaluator.setVariable(k.mclicizquierdoString,0),k.parent.deactivateGraphiControls(),l(a),window.addEventListener("touchmove",n),window.addEventListener("touchend",d),a.stopPropagation(),a.preventDefault()}function d(a){document.body.focus();
if(k.evaluator.variables[k.id+".DESCARTESJS_no_fixed"]||!k.fixed||k.sensitive_to_mouse_movements)k.click=0,k.evaluator.setVariable(k.mpressedString,0),k.evaluator.setVariable(k.mclickedString,1),k.evaluator.setVariable(k.mclicizquierdoString,1),window.removeEventListener("touchmove",n),window.removeEventListener("touchend",d),a.stopPropagation(),a.preventDefault(),k.parent.update()}function f(b){k.canvas.focus();b.stopPropagation();b.preventDefault();k.parent.clearClick();k.click=1;k.parent.deactivateGraphiControls();
k.whichButton=a.whichButton(b);"R"===k.whichButton?(window.addEventListener("mouseup",h),k.clickPosForZoom=k.getCursorPosition(b).y,k.clickPosForZoomNew=k.clickPosForZoom,k.fixed||(k.tempScale=k.scale,window.addEventListener("mousemove",m))):"L"===k.whichButton&&(k.evaluator.setVariable(k.mpressedString,1),k.evaluator.setVariable(k.mclickedString,0),k.evaluator.setVariable(k.mclicizquierdoString,0),l(b),window.addEventListener("mousemove",n),window.addEventListener("mouseup",h))}function h(a){k.canvas.focus();
a.stopPropagation();a.preventDefault();k.click=0;k.evaluator.setVariable(k.mpressedString,0);k.evaluator.setVariable(k.mclickedString,1);k.evaluator.setVariable(k.mclicizquierdoString,1);"R"===k.whichButton&&(window.removeEventListener("mousemove",m),k.clickPosForZoom==k.clickPosForZoomNew&&k.parent.externalSpace.show());window.removeEventListener("mousemove",n);window.removeEventListener("mouseup",h);k.parent.update()}function l(a){k.posAnte=k.getCursorPosition(a);k.mouse_x=k.getRelativeX(k.posAnte.x);
k.mouse_y=k.getRelativeY(k.posAnte.y);k.evaluator.setVariable(k.mxString,k.mouse_x);k.evaluator.setVariable(k.myString,k.mouse_y);k.evaluator.setVariable(k.mclickedString,0);k.evaluator.setVariable(k.mclicizquierdoString,0);k.parent.update();Date.now()}function m(a){a.preventDefault();k.clickPosForZoomNew=k.getCursorPosition(a).y;k.evaluator.setVariable(k.scaleString,k.tempScale+k.tempScale/45*((k.clickPosForZoom-k.clickPosForZoomNew)/10));k.parent.update()}function n(a){a.preventDefault();a.stopPropagation();
k.fixed||(k.posNext=k.getCursorPosition(a),e=c(k.posAnte.x-k.posNext.x),g=c(k.posAnte.y-k.posNext.y),k.evaluator.setVariable(k.OxString,k.Ox-e),k.evaluator.setVariable(k.OyString,k.Oy-g),k.posAnte.x-=e,k.posAnte.y-=g);l(a)}var k=this;J=a.hasTouchSupport;k.clickPosForZoom=null;k.clickPosForZoomNew=null;k.canvas.oncontextmenu=function(a){return!1};J&&(this.sensitive_to_mouse_movements&&this.canvas.addEventListener("touchmove",l),this.canvas.addEventListener("touchstart",b));J||(this.sensitive_to_mouse_movements&&
this.canvas.addEventListener("mousemove",l),this.canvas.addEventListener("mousedown",f));window.addEventListener("blur",function(a){h(a)});document.addEventListener("visibilitychange",function(a){h(a)})};return a}(descartesJS||{}),descartesJS=function(a){var e,g,c;function d(a,b){return b.depth-a.depth}function b(b,c){Z=a.subtract3D(b,a.scalarProduct3D(c,a.dotProduct3D(b,c)));W=a.add3D(b,a.scalarProduct3D(Z,-2));X=a.norm3D(W);return 0!==X?a.scalarProduct3D(W,1/X):a.scalarProduct3D(b,-1)}if(a.loadLib)return a;
var h=Math.floor,l=Math.round,f=Math.max,k=Math.cos,r=Math.sin,m=Math.sqrt,s=15*Math.PI/180,q=Math.cos(s),u=Math.sin(s),n,v,p,t,w,z,B,y,D,E,C,A,I,G,H,K,x,L,F,M,N,J,R,S=[],P,Q,O,V,U,Y,Z,W,X;a.Space3D=function(b,c){a.Space.call(this,b,c);p=this;p.backgroundCanvas=document.createElement("canvas");p.backgroundCanvas.setAttribute("id",p.id+"_background");p.backgroundCanvas.setAttribute("width",p.w+"px");p.backgroundCanvas.setAttribute("height",p.h+"px");p.canvas=document.createElement("canvas");p.canvas.setAttribute("id",
p.id+"_canvas");p.canvas.setAttribute("width",p.w+"px");p.canvas.setAttribute("height",p.h+"px");p.canvas.setAttribute("class","DescartesSpace3DCanvas");p.canvas.setAttribute("style","z-index: "+p.zIndex+";");p.ctx=p.canvas.getContext("2d");p.ctx.imageSmoothingEnabled=!1;p.ctx.mozImageSmoothingEnabled=!1;p.ctx.webkitImageSmoothingEnabled=!1;p.graphicControlContainer=document.createElement("div");p.graphicControlContainer.setAttribute("id",p.id+"_graphicControls");p.graphicControlContainer.setAttribute("style",
"position: absolute; left: 0px; top: 0px; z-index: "+p.zIndex+";");p.numericalControlContainer=document.createElement("div");p.numericalControlContainer.setAttribute("id",p.id+"_numericalControls");p.numericalControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+p.zIndex+";");p.container=document.createElement("div");p.container.setAttribute("id",p.id);p.container.setAttribute("class","DescartesSpace3DContainer");p.container.setAttribute("style","left: "+p.x+"px; top: "+
p.y+"px; z-index: "+p.zIndex+";");p.container.appendChild(p.backgroundCanvas);p.container.appendChild(p.canvas);p.container.appendChild(p.graphicControlContainer);p.container.appendChild(p.numericalControlContainer);b.container.insertBefore(p.container,b.loader);p.eye={x:0,y:0,z:0};p.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,f=p.lights.length;d<f;d++)p.lights[d]=a.normalize3D(p.lights[d]);p.light3={x:0,y:0,z:0};p.intensity=[.4,.5,.3,0];p.userIntensity=
0;p.dim=1;p.tmpIntensity=[];p.OxStr=p.id+".Ox";p.OyStr=p.id+".Oy";p.scaleStr=p.id+".escala";p.wStr=p.id+"._w";p.hStr=p.id+"._h";p.obsStr=p.id+".observador";p.rotZStr=p.id+".rot.z";p.rotYStr=p.id+".rot.y";p.userI_Dim_Str=p.id+".userIlum.dim";p.userI_I_Str=p.id+".userIlum.I";p.userI_x_Str=p.id+".userIlum.x";p.userI_y_Str=p.id+".userIlum.y";p.userI_z_Str=p.id+".userIlum.z";p.evaluator.setVariable(p.rotZStr,0);p.evaluator.setVariable(p.rotYStr,0);p.evaluator.setVariable(p.userI_Dim_Str,p.dim);p.evaluator.setVariable(p.userI_I_Str,
p.userIntensity);p.evaluator.setVariable(p.userI_x_Str,0);p.evaluator.setVariable(p.userI_y_Str,0);p.evaluator.setVariable(p.userI_z_Str,0);p.registerMouseAndTouchEvents()};a.extend(a.Space3D,a.Space);a.Space3D.prototype.init=function(a){p=this;p.uber.init.call(p);p.canvas&&(p.canvas.setAttribute("width",p.w+"px"),p.canvas.setAttribute("height",p.h+"px"));p.container&&p.findOffset();p.w_2=p.w/2;p.h_2=p.h/2;p.oldMouse={x:0,y:0}};a.Space3D.prototype.update=function(a){p=this;n=p.evaluator;v=p.parent;
n.setVariable(p.wStr,p.w);n.setVariable(p.hStr,p.h);p.drawIfValue=0<n.evalExpression(p.drawif);if(p.drawIfValue){D=p.x!==n.evalExpression(p.xExpr)+p.displaceRegionWest;E=p.y!==n.evalExpression(p.yExpr)+v.plecaHeight+p.displaceRegionNorth;p.spaceChange=a||D||E||p.drawBefore!==p.drawIfValue||p.Ox!==n.getVariable(p.OxStr)||p.Oy!==n.getVariable(p.OyStr)||p.scale!==n.getVariable(p.scaleStr);p.x=D?n.evalExpression(p.xExpr)+p.displaceRegionWest:p.x;p.y=E?n.evalExpression(p.yExpr)+v.plecaHeight+p.displaceRegionNorth:
p.y;p.Ox=n.getVariable(p.OxStr);p.Oy=n.getVariable(p.OyStr);p.scale=n.getVariable(p.scaleStr);p.drawBefore=p.drawIfValue;if(a||void 0==p.observer){var b;a=0;for(var c=p.parent.controls.length;a<c;a++)p.parent.controls[a].id===p.obsStr&&(b=!0);p.observer=b?n.getVariable(p.obsStr)||.5*(p.w+p.h):2.5*(p.w+p.h);p.observer=f(p.observer,.1*(p.w+p.h));n.setVariable(p.obsStr,p.observer);p.eye={x:p.observer/p.scale*q,y:0,z:p.observer/p.scale*u};p.D=p.scale*p.eye.x/q;p.XE=l(p.scale*p.eye.y+.5);p.YE=l(p.scale*
p.eye.z+.5)}p.observer=f(n.getVariable(p.obsStr),.1*(p.w+p.h));n.setVariable(p.obsStr,p.observer);1E-6>p.scale?(p.scale=1E-6,n.setVariable(p.scaleStr,1E-6)):1E6<p.scale&&(p.scale=1E6,n.setVariable(p.scaleStr,1E6));if(D||E)p.container.style.left=p.x+"px",p.container.style.top=p.y+"px",p.findOffset();p.container.style.display="block";p.dim=n.getVariable(p.userI_Dim_Str);p.userIntensity=n.getVariable(p.userI_I_Str);p.light3={x:parseInt(n.getVariable(p.userI_x_Str)),y:parseInt(n.getVariable(p.userI_y_Str)),
z:parseInt(n.getVariable(p.userI_z_Str))};p.updateCamera();p.draw()}else p.container.style.display="none"};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));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++){t=this.graphics[a];if(t.split||this.split)for(var c=a+1;c<b;c++)w=this.graphics[c],(w.split||
this.split)&&t.splitFace(w);this.primitives=this.primitives.concat(t.primitives||[])}z=this.primitives;B=z.length;for(a=0;a<B;a++)z[a].computeDepth(this);if("painter"===this.render)this.drawPainter(z);else for(z=z.sort(d),a=0;a<B;a++)z[a].draw(this.ctx,this);a=0;for(b=this.graphicsCtr.length;a<b;a++)this.graphicsCtr[a].draw()};var T;a.renderNode=function(a){this.value=a;this.front=this.back=null};a.renderNode.prototype.inOrder=function(){var a=[];this.back&&(a=a.concat(this.back.inOrder()));a.push(this.value);
this.front&&(a=a.concat(this.front.inOrder()));return a};a.Space3D.prototype.buildTree=function(b){if(0===b.length)return null;var c,d=[],f=[];T=b.shift();for(var e=0,h=b.length;e<h;e++){c=null;for(var l=0,g=b[e].spaceVertices.length;l<g;l++)whereIs=2<T.spaceVertices.length?this.inPlane2(T.spaceVertices[0],T.normal,b[e].spaceVertices[l]):0,whereIs=0<T.direction?-whereIs:whereIs,null===c?0>whereIs?c="front":0<whereIs&&(c="back"):0>whereIs?"back"===c&&(c="cross"):0<whereIs&&"front"===c&&(c="cross");
if("back"===c)d.push(b[e]);else if("front"===c)f.push(b[e]);else if(null==c)d.push(b[e]);else{c=null;l=0;for(g=T.spaceVertices.length;l<g;l++)whereIs=2<b[e].spaceVertices.length?this.inPlane2(b[e].spaceVertices[0],b[e].normal,T.spaceVertices[l]):-1,whereIs=0<b[e].direction?-whereIs:whereIs,null===c?0>whereIs?c="front":0<whereIs&&(c="back"):0>whereIs?"back"===c&&(c="cross"):0<whereIs&&"front"===c&&(c="cross");"front"===c?d.push(b[e]):f.push(b[e])}}b=new a.renderNode(T);b.back=this.buildTree(d);b.front=
this.buildTree(f);return b};a.Space3D.prototype.drawPainter=function(a){if(a=this.buildTree(a)){a=a.inOrder();for(var b=0;b<a.length;b++)a[b].draw(this.ctx,this)}};a.Space3D.prototype.inPlane=function(a,b,c,d){return parseFloat(((d.x-a.x)*(b.y-a.y)*(c.z-a.z)+(d.y-a.y)*(b.z-a.z)*(c.x-a.x)+(d.z-a.z)*(b.x-a.x)*(c.y-a.y)-(d.z-a.z)*(b.y-a.y)*(c.x-a.x)-(d.y-a.y)*(b.x-a.x)*(c.z-a.z)-(d.x-a.x)*(b.z-a.z)*(c.y-a.y)).toFixed(8))};a.Space3D.prototype.inPlane2=function(a,b,c){return parseFloat((b.x*(c.x-a.x)+
b.y*(c.y-a.y)+b.z*(c.z-a.z)).originalToFixed(8))};a.Space3D.prototype.updateCamera=function(){p=this;p.D=p.observer;p.eye.x=p.D/p.scale;p.eye.y=p.XE/p.scale;p.eye.z=p.YE/p.scale};a.Space3D.prototype.rotateVertex=function(b){x=a.degToRad(p.evaluator.getVariable(p.rotZStr));L=k(x);F=r(x);e=b.x*L-b.y*F;g=b.x*F+b.y*L;c=b.z;x=a.degToRad(p.evaluator.getVariable(p.rotYStr));L=k(x);F=r(x);return{x:c*F+e*L,y:g,z:c*L-e*F}};a.Space3D.prototype.project=function(a){p=this;I=p.eye.x-a.x;G=p.eye.y-a.y;H=p.eye.z-
a.z;var b=m(I*I+G*G+H*H);K=-a.x/b||0;I=this.w_2+this.Ox+p.scale*(a.y+K*(p.eye.y-a.y));G=this.h_2+this.Oy-p.scale*(a.z+K*(p.eye.z-a.z));return{x:I,y:G,z:b}};a.Space3D.prototype.computeColor=function(c,d,f){c.match("rgba")?c=a.RGBAToHexColor(c):c.match("#")&&(c=new a.Color(c.substring(1)));V=a.subtract3D(this.eye,d.average);U=a.norm3D(V);Y=a.scalarProduct3D(V,1/U);this.lights[3]=a.subtract3D(this.light3,d.average);R=a.norm3D(this.lights[3]);for(var e=0,l=this.intensity.length-1;e<l;e++)S[e]=this.intensity[e]*
this.dim;S[3]=this.userIntensity*this.userIntensity/R||0;P=f?this.dim/2:this.dim/4;Q=0;O=0<=d.direction?d.normal:a.scalarProduct3D(d.normal,-1);e=0;for(l=this.lights.length;e<l;e++)f?(Q=Math.max(0,a.dotProduct3D(b(this.lights[e],O),Y)),Q*=Q*Q):Q=Math.max(0,a.dotProduct3D(this.lights[e],O)),P+=S[e]*Q;P=Math.min(P,1);M=h(c.r*P);N=h(c.g*P);J=h(c.b*P);return"rgba("+M+","+N+","+J+","+c.a+")"};a.Space3D.prototype.registerMouseAndTouchEvents=function(){function b(a){document.body.focus();k.click=1;k.evaluator.setVariable(k.id+
".mouse_pressed",1);k.parent.deactivateGraphiControls();k.posAnte=k.getCursorPosition(a);k.oldMouse.x=k.getRelativeX(k.posAnte.x);k.oldMouse.y=k.getRelativeY(k.posAnte.y);e(a);window.addEventListener("touchmove",g);window.addEventListener("touchend",c);a.preventDefault()}function c(a){document.body.focus();k.click=0;k.evaluator.setVariable(k.id+".mouse_pressed",0);window.removeEventListener("touchmove",g,!1);window.removeEventListener("touchend",c,!1);a.preventDefault()}function d(b){document.body.focus();
k.click=1;k.parent.deactivateGraphiControls();k.whichButton=a.whichButton(b);"R"===k.whichButton?(window.addEventListener("mouseup",f),k.clickPosForZoom=k.getCursorPosition(b).y,k.clickPosForZoomNew=k.clickPosForZoom,k.fixed||(k.tempScale=k.scale,window.addEventListener("mousemove",h))):"L"==k.whichButton&&(k.evaluator.setVariable(k.id+".mouse_pressed",1),k.posAnte=k.getCursorPosition(b),k.oldMouse.x=k.getRelativeX(k.posAnte.x),k.oldMouse.y=k.getRelativeY(k.posAnte.y),e(b),window.addEventListener("mousemove",
g),window.addEventListener("mouseup",f));b.preventDefault()}function f(a){document.body.focus();k.click=0;k.evaluator.setVariable(k.id+".mouse_pressed",0);a.preventDefault();"R"===k.whichButton&&(window.removeEventListener("mousemove",h,!1),k.clickPosForZoom==k.clickPosForZoomNew&&k.parent.externalSpace.show());window.removeEventListener("mousemove",g,!1);window.removeEventListener("mouseup",f,!1)}function e(a){k.posAnte=k.getCursorPosition(a);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()-m&&(k.parent.update(),m=Date.now())}function h(a){a.preventDefault();k.clickPosForZoomNew=k.getCursorPosition(a).y;k.evaluator.setVariable(k.scaleStr,k.tempScale+k.tempScale/45*((k.clickPosForZoom-k.clickPosForZoomNew)/10));k.parent.update()}function g(b){if(!k.fixed&&k.click){C=parseInt(50*(k.oldMouse.x-k.mouse_x));A=parseInt(50*(k.oldMouse.y-k.mouse_y));if(C!==k.disp.x||A!==k.disp.y)k.alpha=
a.degToRad(k.evaluator.getVariable(k.rotZStr)),k.beta=a.degToRad(-k.evaluator.getVariable(k.rotYStr)),k.alpha=l(a.radToDeg(k.alpha)-C),k.beta=l(a.radToDeg(k.beta)-A),k.evaluator.setVariable(k.rotZStr,k.alpha),k.evaluator.setVariable(k.rotYStr,-k.beta),k.disp.x=C,k.disp.y=A,k.oldMouse.x=k.getRelativeX(k.posAnte.x),k.oldMouse.y=k.getRelativeY(k.posAnte.y);e(b);b.preventDefault()}}var k=this,m=0;y=a.hasTouchSupport;this.canvas.oncontextmenu=function(){return!1};y&&this.canvas.addEventListener("touchstart",
b);y||this.canvas.addEventListener("mousedown",d);this.disp={x:0,y:0}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e;a.SpaceAP=function(g,c){a.Space.call(this,g,c);this.exportarVars=this.importarVars=null;e=g.evaluator;this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=e.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&this.file.match(/\'$/)?this.file=e.parser.parse(this.file):this.file=e.parser.parse("'"+this.file+"'");this.oldFile=
e.evalExpression(this.file);this.initFile()};a.extend(a.SpaceAP,a.Space);a.SpaceAP.prototype.initFile=function(){this.firstUpdate=!0;var e;if(this.oldFile){var c=document.getElementById(this.oldFile);e=c&&"descartes/spaceApFile"==c.type?c.text:a.openExternalFile(this.oldFile);null!=e&&(e=e.split("\n"))}if(e&&e.toString().match(/<applet/gi)){for(var c="",d=!1,b=0,h=e.length;b<h&&(e[b].match("<applet")&&(d=!0),d&&(c+=e[b]),!e[b].match("</applet"));b++);b=document.createElement("div");b.innerHTML=c;
b.firstChild.setAttribute("width",this.w);b.firstChild.setAttribute("height",this.h);c=this.descApp?this.descApp.container:null;this.descApp=new a.DescartesApp(b.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+";");c?this.parent.container.replaceChild(this.descApp.container,
c):this.parent.container.insertBefore(this.descApp.container,this.parent.loader);c=this.descApp.spaces;b=0;for(h=c.length;b<h;b++)c[b].findOffset();this.descApp.container.style.display=0<this.evaluator.evalExpression(this.drawif)?"block":"none";var l=this;this.descApp.update=function(){this.updateAuxiliaries();this.updateEvents();this.updateControls();this.updateSpaces();l.exportar()}}else c=this.descApp?this.descApp.container:null,this.descApp={},this.descApp.container=document.createElement("div"),
this.descApp.container.setAttribute("class","DescartesAppContainer"),b="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?b+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat;":"stretch"==this.bg_display?b+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat; background-size: 100% 100%;":
"patch"==this.bg_display?b+="background-image: url("+this.imageSrc+");":"imgcenter"==this.bg_display&&(b+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat; background-position: center center;")),this.descApp.container.setAttribute("style",b),c?this.parent.container.replaceChild(this.descApp.container,c):this.parent.container.insertBefore(this.descApp.container,this.parent.loader),this.descApp.container.style.display=0<this.evaluator.evalExpression(this.drawif)?"block":"none"};
a.SpaceAP.prototype.update=function(){var a=this.evaluator.evalExpression(this.file);if(this.oldFile!=a)this.oldFile=a,this.initFile();else{var a=this.x!=this.evaluator.evalExpression(this.xExpr),c=this.y!=this.evaluator.evalExpression(this.yExpr)+this.plecaHeight;this.x=a?this.evaluator.evalExpression(this.xExpr):this.x;this.y=c?this.evaluator.evalExpression(this.yExpr)+this.plecaHeight:this.y;a&&(this.descApp.container.style.left=this.x+"px");c&&(this.descApp.container.style.top=this.y+"px");if(a||
c)for(var a=this.descApp.spaces,c=0,d=a.length;c<d;c++)a[c].findOffset();this.descApp.container.style.display=0<this.evaluator.evalExpression(this.drawif)?"block":"none";if(this.firstUpdate&&(this.firstUpdate=!1,null==this.importarVars)){this.importarVars=[];for(var b in this.evaluator.variables)this.evaluator.variables.hasOwnProperty(b)&&b.match(/^public./)&&this.importarVars.push({varName:b,value:this.evaluator.getVariable(b)})}this.importar()}};a.SpaceAP.prototype.importar=function(){for(var a,
c=!1,d=0,b=this.importarVars.length;d<b;d++)a=this.evaluator.getVariable(this.importarVars[d].varName),a!=this.importarVars[d].value&&(this.importarVars[d].value=a,this.descApp.evaluator.setVariable(this.importarVars[d].varName,this.importarVars[d].value),c=!0);c&&this.descApp.update()};a.SpaceAP.prototype.exportar=function(){};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e,g,c,d,b;a.SpaceHTML_IFrame=function(b,c){a.Space.call(this,b,c);var d=this.parent.evaluator;
if(void 0!=this._w_){var e=d.parser.parse(this._w_);this._w_="number"!=e.type?e:void 0}void 0!=this._h_&&(e=d.parser.parse(this._h_),this._h_="number"!=e.type?e:void 0);this.file=this.file?this.file.trim():"";this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=d.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&this.file.match(/\'$/)?this.file=d.parser.parse(this.file):this.file=d.parser.parse("'"+this.file+"'");this.oldFile=d.evalExpression(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+";");this.container.appendChild(this.MyIFrame);this.parent.container.insertBefore(this.container,this.parent.loader);var g=this;this.MyIFrame.onload=function(a){var b=this;g.evaluator.setFunction(g.id+".set",function(a,c){b.contentWindow.postMessage({type:"set",name:a,value:c},"*");return 0});g.evaluator.setFunction(g.id+".update",function(){b.contentWindow.postMessage({type:"update"},
"*");return 0});g.evaluator.setFunction(g.id+".exec",function(a,c){b.contentWindow.postMessage({type:"exec",name:a,value:c},"*");return 0})};this.update=this.iframeUpdate;this.evaluator.setVariable(this.id+"._scroll",0)};a.extend(a.SpaceHTML_IFrame,a.Space);a.SpaceHTML_IFrame.prototype.init=function(){b=this;b.uber.init.call(b);b.MyIFrame&&(b.MyIFrame.style.width=b.w+"px",b.MyIFrame.style.height=b.h+"px",b.MyIFrame.style.left=b.x+"px",b.MyIFrame.style.top=b.y+"px")};a.SpaceHTML_IFrame.prototype.iframeUpdate=
function(a){e=this.evaluator;this.drawIfValue=0<e.evalExpression(this.drawif);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){a&&(this.y=this.x=Infinity);g=this.x!==e.evalExpression(this.xExpr)+this.displaceRegionWest;c=this.y!==e.evalExpression(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth;this.x=g?e.evalExpression(this.xExpr)+
this.displaceRegionWest:this.x;this.y=c?e.evalExpression(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth:this.y;void 0!=this._w_&&(a=e.evalExpression(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=e.evalExpression(this._h_),this.h!==a&&(this.container.style.height=a+"px",this.MyIFrame.style.height=a+"px",this.h=a));if(g||c)this.container.style.left=this.x+"px",this.container.style.top=this.y+"px";d=e.evalExpression(this.file);
d!==this.oldFile&&(this.oldFile=d,this.MyIFrame.setAttribute("src",d));this.scrollVar=e.getVariable(this.id+"._scroll");1==this.scrollVar?(this.MyIFrame.setAttribute("scrolling","yes"),this.MyIFrame.style.overflow=""):-1==this.scrollVar?(this.MyIFrame.setAttribute("scrolling","no"),this.MyIFrame.style.overflow="hidden"):(this.MyIFrame.setAttribute("scrolling","auto"),this.MyIFrame.style.overflow="")}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var e;a.DescartesLoader=
function(a){this.children=a.children;this.lessonParser=a.lessonParser;this.images=a.images;this.images.length=a.images.length;this.audios=a.audios;this.audios.length=a.audios.length;this.arquimedes=a.arquimedes;this.descartesApp=a;var c=a.image_loader?a.image_loader:d(a.loader.width,a.loader.height);this.imageLoader=document.createElement("div");this.imageLoader.width=a.width;this.imageLoader.height=a.height;this.imageLoader.setAttribute("class","DescartesLoaderImage");this.imageLoader.setAttribute("style",
"background-image: url("+c+"); background-size:cover; width: "+a.width+"px; height: "+a.height+"px;");a.loader.appendChild(this.imageLoader);this.loaderBar=document.createElement("canvas");this.loaderBar.width=a.width;this.loaderBar.height=a.height;this.loaderBar.setAttribute("class","DescartesLoaderBar");this.loaderBar.setAttribute("style","width: "+a.width+"px; height:"+a.height+"px;");this.loaderBar.ctx=this.loaderBar.getContext("2d");a.loader.appendChild(this.loaderBar);this.barWidth=80;this.barHeight=
Math.floor(a.loader.height/70);var e=this;this.timer=setInterval(function(){e.drawLoaderBar(e.loaderBar.ctx,a.width,a.height)},10);a.firstRun=!1;this.initPreloader()};a.DescartesLoader.prototype.initPreloader=function(){var b=this.children,c=this.images,d=this.audios,f=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,e=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav)/gi;this.arquimedes&&(c["lib/DescartesCCLicense.png"]=a.getCreativeCommonsLicenseImage(),c["lib/DescartesCCLicense.png"].addEventListener("load",function(){this.ready=
1}),c["lib/DescartesCCLicense.png"].addEventListener("error",function(){this.errorload=1}));var g,m,s,q,u,n;s=0;for(u=b.length;s<u;s++)if("rtf"!==b[s].name){if(b[s].value.match(/'macro'|'makro'/g)){g="";var v;m=this.lessonParser.split(b[s].value);n=0;for(var p=m.length;n<p;n++)"expresion"===babel[m[n][0]]&&(g=m[n][1]);g&&((v=document.getElementById(g))&&"descartes/macro"==v.type?v=v.text:(v=a.openExternalFile(g))&&!v.match(/tipo_de_macro/g)&&(v=null));if(v&&(g=v.match(f)))for(n=g.length;q<n;q++)m=
g[q],m.toLowerCase().match(/vacio.gif$/)||""==m.substring(0,m.length-4)||(c[m]=new Image,c[m].addEventListener("load",function(){this.ready=1}),c[m].addEventListener("error",function(){this.errorload=1}),c[m].src=m)}if(g=b[s].value.match(f))for(q=0,n=g.length;q<n;q++)m=g[q],m.toLowerCase().match(/vacio.gif$/)||""==m.substring(0,m.length-4)||(c[m]=new Image,c[m].addEventListener("load",function(){this.ready=1}),c[m].addEventListener("error",function(){this.errorload=1}),c[m].src=m);if(g=b[s].value.match(e))for(q=
0,m=g.length;q<m;q++)this.initAudio(g[q])}for(var t in c)c.hasOwnProperty(t)&&this.images.length++;for(t in d)d.hasOwnProperty(t)&&this.audios.length++;var w=this,z=this.images.length+this.audios.length;this.sep=2*(this.barWidth-2)/z;var B=function(){w.readys=0;for(var a in c)c.hasOwnProperty(a)&&(c[a].ready||c[a].errorload)&&w.readys++;for(a in w.audios)d.hasOwnProperty(a)&&(d[a].ready||d[a].errorload)&&w.readys++;w.readys!=z?setTimeout(B,30):(clearTimeout(w.timer),w.descartesApp.initBuildApp())};
B()};a.DescartesLoader.prototype.initAudio=function(b){var c=this.audios;c[b]=new Audio(b);c[b].filename=b;var d=function(){this.ready=1},f=function(){this.canPlayType("audio/"+this.filename.substring(this.filename.length-3))||"mp3"!=this.filename.substring(this.filename.length-3)?(console.log("El archivo '"+b+"' no puede ser reproducido"),this.errorload=1):(c[b]=new Audio(this.filename.replace("mp3","ogg")),c[b].filename=this.filename.replace("mp3","ogg"),c[b].addEventListener("canplaythrough",d),
c[b].addEventListener("load",d),c[b].addEventListener("error",f),c[b].load())};c[b].addEventListener("canplaythrough",d);c[b].addEventListener("load",d);c[b].addEventListener("error",f);a.hasTouchSupport?(c[b].load(),c[b].play(),setTimeout(function(){console.log("detenido");c[b].pause()},10),c[b].ready=1):c[b].load()};var g,c;a.DescartesLoader.prototype.drawLoaderBar=function(a,d,l){g=this.barWidth;c=this.barHeight;a.translate(d/2,(l-65*e)/2+90*e);a.scale(e,e);a.strokeRect(-g,-c,2*g,c);a.fillStyle=
"#888";a.fillRect(-g+2,-c+2,2*(g-2),c-4);a.fillStyle="#1f358d";a.fillRect(-g+2,-c+2,this.readys*this.sep,c-4);a.setTransform(1,0,0,1,0,0)};var d=function(b,c){var d=document.createElement("canvas"),f=5E6<b*a._ratio*c*a._ratio?1:a._ratio;d.width=b*f;d.height=c*f;d.style.width=b+"px";d.style.height=c+"px";var k=d.getContext("2d");k.save();k.setTransform(f,0,0,f,0,0);k.strokeStyle=k.fillStyle="#1f358d";k.lineCap="round";k.lineWidth=2;k.beginPath();e=b<c?b/360:c/195;e=2.5<e?2.5:e;k.translate((b-120*e)/
2,(c-65*e)/2);k.scale(e,e);k.moveTo(3,25);k.lineTo(3,1);k.lineTo(21,1);k.bezierCurveTo(33,1,41,15,41,25);k.stroke();k.beginPath();k.moveTo(1,63);k.lineTo(1,64);k.moveTo(5,62);k.lineTo(5,64);k.moveTo(9,61);k.lineTo(9,64);k.moveTo(13,60);k.lineTo(13,64);k.moveTo(17,58);k.lineTo(17,64);k.moveTo(21,56);k.lineTo(21,64);k.moveTo(25,53);k.lineTo(25,64);k.moveTo(29,50);k.lineTo(29,64);k.moveTo(33,46);k.lineTo(33,64);k.moveTo(37,41);k.lineTo(37,64);k.moveTo(41,32);k.lineTo(41,64);k.stroke();k.font="20px descartesJS_sansserif, Arial, Helvetica, Sans-serif";
k.fillText("escartes",45,33);k.fillText("JS",98,64);k.restore();return d.toDataURL()};return a}(descartesJS||{}),descartesJS=function(a){function e(a){for(var d="[",b=0,h=a.length;b<h;b++)a[b]instanceof Array?d+=e(a[b]):(g=a[b],"undefined"!=typeof g&&g||(g=0),"string"==typeof g&&(g="'"+g+"'"),d+=g),b<h-1&&(d+=",");return d+"]"}if(a.loadLib)return a;a.DescartesApp=function(c){this.animation={playing:!1,stop:function(){}};this.applet=c;this.parentContainer=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.creativeCommonsLicense=!0;for(var d=0,b=this.children.length;d<b;d++)"CreativeCommonsLicense"===this.children[d].name&&(a.creativeCommonsLicense="no"===this.children[d].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.init()};a.DescartesApp.prototype.init=function(){this.stop();this.evaluator=new a.Evaluator(this);this.lessonParser=new a.LessonParser(this);this.arquimedes=!!this.code.match("descinst.DescartesWeb2_0.class","i")||!!this.code.match("Arquimedes","i")||!!this.code.match("Discurso","i");this.licenseA=a.creativeCommonsLicense?"{\\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/2.5/es/}, 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,d,b=0,e=0,l=a.creativeCommonsLicense?90:0,f=0,k=c.length;f<k;f++)d=c[f],"rtf_height"==d.name&&(b=parseInt(d.value)||this.height),"Buttons"==babel[d.name]&&(this.buttonsConfig=this.lessonParser.parseButtonsConfig(d.value),e=this.buttonsConfig.height),"image_loader"==d.name&&(this.image_loader=d.value),"expand"==d.name&&(this.expand=d.value),"docBase"==d.name&&(this.docBase=d.value,d=document.createElement("base"),d.setAttribute("id","descartesJS_base"),d.setAttribute("href",
this.docBase),document.head.appendChild(d));this.expand&&"cover"==this.expand&&(this.width=window.innerWidth,this.height=window.innerHeight);this.arquimedes&&b&&(this.height=b+e+l);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.cacheVars={};this.getVarsNames={};this.plecaHeight=this.tabindex=this.zIndex=0;this.numberOfIframes=1;void 0!=this.container&&this.parentContainer.removeChild(this.container);this.container=document.createElement("div");this.loader=document.createElement("div");
this.parentContainer.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.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.image_loader&&(this.loader.style.backgroundColor="rgba(0,0,0,0)");this.firstRun?this.descartesLoader=new a.DescartesLoader(this):this.initBuildApp()};a.DescartesApp.prototype.initBuildApp=function(){for(var c=this.children,d=this.lessonParser,b=[],e=[],l=[],f=[],k=[],g=[],m,s=0,q=c.length;s<q;s++)if(m=c[s],"language"==babel[m.name]&&(this.language=m.value),"pleca"==m.name)m=d.parsePleca(m.value,this.width),this.container.insertBefore(m,this.loader),this.plecaHeight=m.imageHeight?m.imageHeight:
m.offsetHeight;else if("Buttons"==babel[m.name])this.buttonsConfig=d.parseButtonsConfig(m.value);else if("decimal_symbol"==babel[m.name])this.decimal_symbol=m.value,this.decimal_symbol_regexp=new RegExp("\\"+this.decimal_symbol,"g");else if("version"==babel[m.name])this.version=parseInt(m.value);else if("language"==babel[m.name])this.language=m.value;else if("rtf"==m.name){var u=(this.width-780)/2,n=parseInt(this.height)-this.plecaHeight-this.buttonsConfig.height-45;f.push("space='descartesJS_scenario' type='text' expresion='[10,20]' background='yes' text='"+
m.value.replace(/'/g,"&squot;")+"'");f.push("space='descartesJS_scenario' type='text' expresion='["+u+","+(n-25)+"]' background='yes' text='"+this.licenseA+"'");a.creativeCommonsLicense&&f.push("space='descartesJS_scenario' type='image' expresion='["+(u+15)+","+n+"]' background='yes' abs_coord='yes' file='lib/DescartesCCLicense.png'")}else"E"==m.name.charAt(0)?(m.value.match(/'HTMLIFrame'/)&&this.numberOfIframes++,b.push(m.value)):"C"==m.name.charAt(0)&&"_"==m.name.charAt(1)?e.push(m.value):"A"==
m.name.charAt(0)&&"_"==m.name.charAt(1)?l.push(m.value):"G"==m.name.charAt(0)?f.push(m.value):"S"==m.name.charAt(0)?k.push(m.value):"Animation"==babel[m.name]&&g.push(m.value);this.scenarioRegion={container:document.createElement("div"),scroll:0};this.scenarioRegion.container.setAttribute("id","descartesJS_Scenario_Region");this.scenarioRegion.scenarioSpace=this.lessonParser.parseSpace("tipo='R2' id='descartesJS_scenario' fondo='blanco' x='0' y='0' fijo='yes' red='no' red10='no' ejes='no' text='no' ancho='"+
this.width+"' alto='"+this.height+"'");this.scenarioRegion.container.appendChild(this.scenarioRegion.scenarioSpace.container);this.arquimedes&&(this.container.appendChild(this.scenarioRegion.container),this.spaces.push(this.scenarioRegion.scenarioSpace));s=0;for(q=b.length;s<q;s++)c=d.parseSpace(b[s]),this.arquimedes&&this.scenarioRegion.container.appendChild(c.container),this.spaces.push(c),this.zIndex++;s=0;for(q=f.length;s<q;s++)if(b=d.parseGraphic(f[s]))b.visible&&(this.editableRegionVisible=
!0),b.space.addGraph(b);s=0;for(q=k.length;s<q;s++)(b=d.parse3DGraphic(k[s]))&&b.space.addGraph(b,!0);s=0;for(q=e.length;s<q;s++)this.controls.push(d.parseControl(e[s]));s=0;for(q=l.length;s<q;s++)d.parseAuxiliar(l[s]);s=0;for(q=g.length;s<q;s++)this.animation=d.parseAnimation(g[s]);this.configRegions();this.updateAuxiliaries();this.updateAuxiliaries();s=0;for(q=this.controls.length;s<q;s++)this.controls[s].init();this.updateControls();this.updateSpaces(!0);var v=this;this.numberOfIframes?setTimeout(function(){v.finishInit()},
200*this.numberOfIframes):this.finishInit()};a.DescartesApp.prototype.finishInit=function(){this.update();this.loader.style.display="none";window.parent!==window&&(this.parentContainer.style.margin="0px",this.parentContainer.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()};a.DescartesApp.prototype.adjustSize=function(){document.body.style.margin="0px";document.body.style.padding="0px";this.parentContainer.style.margin="0px";this.parentContainer.style.padding="0px";var c=parseInt(this.width)+30,d=parseInt(this.height)+90;window.moveTo((parseInt(screen.width)-c)/2,(parseInt(screen.height)-d)/2);window.resizeTo(c,d);a.onResize()};a.DescartesApp.prototype.adjustDimensions=function(){var a,d,b;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);d=parseInt(this.parentContainer.offsetWidth);a=this.init_w;b=d/a;a>d?(this.parentContainer!=document.body&&(this.parentContainer.style.height=this.init_h*b+"px"),this.percent=b,this.container.style.webkitTransform=this.container.style.MozTransform="scale("+b+")",this.container.style.webkitTransformOrigin=this.container.style.MozTransformOrigin="top left"):(this.parentContainer!=document.body&&
(this.parentContainer.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,d=this.buttonsConfig,b=this.container;if(2!=this.version)var e="15",l=100,f=100,k=100,g=100;else e="14",l=63,f=50,k=44,g=53;var m=0,s=0,q=0,u=q=0,n=0,v=0,p=0,t=0,v=this.northSpace.controls,w=this.southSpace.controls,
z=this.eastSpace.controls,B=this.westSpace.controls;if(0<d.rowsNorth||0<v.length||d.about||d.config){0>=d.rowsNorth?(m=d.height,d.rowsNorth=1):m=d.height*d.rowsNorth;n=this.northSpace.container;n.setAttribute("id","descartesJS_northRegion");n.setAttribute("style","width:"+b.width+"px; height:"+m+"px; background:#c0c0c0; position:absolute; left:0px; top: "+this.plecaHeight+"px; z-index:100;");b.insertBefore(n,this.loader);var n=b.width,y=0;d.about?(y=l,n-=y):l=0;d.config&&(n-=f);for(var D=Math.ceil(v.length/
d.rowsNorth),E=n/D,q=0,C=v.length;q<C;q++)v[q].expresion=c.parse("("+(y+q%D*E)+","+d.height*Math.floor(q/D)+","+E+","+d.height+")"),v[q].drawif=c.parse("1"),v[q].init();d.about&&(q="espa\u00f1ol"==this.language?"cr\u00e9ditos":"english"==this.language?"about":"cr\u00e9ditos",q=new a.Button(this,{region:"north",name:q,font_size:c.parse(e),expresion:c.parse("(0, 0, "+l+", "+m+")")}),q.actionExec={execute:a.showAbout},q.update());d.config&&(new a.Button(this,{region:"north",name:"config",font_size:c.parse(e),
action:"config",expresion:c.parse("("+(n+l)+", 0, "+f+", "+m+")")})).update()}if(0<d.rowsSouth||0<w.length||d.init||d.clear){0>=d.rowsSouth?(s=d.height,d.rowsSouth=1):s=d.height*d.rowsSouth;v=b.width;y=0;d.init?(y=k,v-=y):k=0;d.clear&&(v-=g);n=this.southSpace.container;n.setAttribute("id","descartesJS_southRegion");n.setAttribute("style","width:"+b.width+"px; height:"+s+"px; background:#c0c0c0; position:absolute; left: 0px; top:"+(b.height-s)+"px; z-index:100;");b.insertBefore(n,this.loader);D=Math.ceil(w.length/
d.rowsSouth);E=v/D;q=0;for(C=w.length;q<C;q++)w[q].expresion=c.parse("("+(y+q%D*E)+","+d.height*Math.floor(q/D)+","+E+","+d.height+")"),w[q].drawif=c.parse("1"),w[q].init();d.init&&(q="espa\u00f1ol"==this.language?"inicio":"english"==this.language?"init":"inicio",(new a.Button(this,{region:"south",name:q,font_size:c.parse(e),action:"init",expresion:c.parse("(0, 0, "+k+", "+s+")")})).update());d.clear&&(q="espa\u00f1ol"==this.language?"limpiar":"english"==this.language?"clear":"limpiar",(new a.Button(this,
{region:"south",name:q,font_size:c.parse(e),action:"clear",expresion:c.parse("("+(v+k)+", 0, "+g+", "+s+")")})).update())}if(0<z.length)for(q=b.height-m-s,p=d.widthEast,n=this.eastSpace.container,n.setAttribute("id","descartesJS_eastRegion"),n.setAttribute("style","width:"+p+"px; height:"+q+"px; background:#c0c0c0; position:absolute; left:"+(b.width-p)+"px; top:"+m+"px; z-index:100;"),b.insertBefore(n,this.loader),q=0,C=z.length;q<C;q++)z[q].expresion=c.parse("(0,"+d.height*q+","+p+","+d.height+")"),
z[q].drawif=c.parse("1"),z[q].init();if(0<B.length)for(q=b.height-m-s,t=d.widthWest,n=this.westSpace.container,n.setAttribute("id","descartesJS_westRegion"),n.setAttribute("style","width: "+t+"px; height: "+q+"px; background: #c0c0c0; position: absolute; left: 0px; top: "+m+"px; z-index: 100;"),b.insertBefore(n,this.loader),q=0,C=B.length;q<C;q++)B[q].expresion=c.parse("(0,"+d.height*q+","+t+","+d.height+")"),B[q].drawif=c.parse("1"),B[q].init();if(this.editableRegionVisible)for(u=d.height,n=this.editableRegion.container,
n.setAttribute("id","descartesJS_editableRegion"),n.setAttribute("style","width:"+b.width+"px; height:"+u+"px; position:absolute; left:0px; top:"+(b.height-s-d.height)+"px; z-index:100; background:#c0c0c0; overflow:hidden;"),b.insertBefore(n,this.loader),c=this.editableRegion.textFields,d=b.width/c.length,e=a.getFieldFontSize(u),q=0,C=c.length;q<C;q++)"div"==c[q].type?(n.appendChild(c[q].container),c[q].container.setAttribute("style","font-family: Arial, Helvetica, 'Droid Sans', Sans-serif; width: "+
(d-4)+"px; height: "+u+"px; position: absolute; left: "+q*d+"px; top: 0px;"),l=c[q].container.firstChild,l.setAttribute("style","font-family: Arial, Helvetica, 'Droid Sans', Sans-serif; font-size: "+e+"px; padding-top: 0%; background-color: #e0e4e8; position: absolute; left: 0px; top: 0px; height:"+u+"px; text-align: center; line-height: "+u+"px;"),f=l.offsetWidth,l.style.width=f+"px",l.firstChild.textContent=l.firstChild.textContent.substring(3,l.firstChild.textContent.length-3),c[q].container.lastChild.setAttribute("style",
"font-family:'Courier New', Courier, 'Droid Sans Mono', Monospace; font-size: "+e+"px; width:"+(d-f)+"px; height:"+u+"px; position:absolute; left:"+f+"px; top:0px; border:2px groove white;")):(n.appendChild(c[q]),c[q].setAttribute("style","font-family:'Courier New', Courier, 'Droid Sans Mono', Monospace; font-size: "+e+"px; width:"+d+"px; height:"+u+"px; position:absolute; left:"+q*d+"px; top:0px; border:2px groove white;"));this.displaceRegionNorth=m;this.displaceRegionWest=t;b.width-=p;b.height=
b.height-s-u;q=0;for(C=this.spaces.length;q<C;q++)this.spaces[q].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,d=this.spaces.length;a<d;a++)this.spaces[a].clearClick()};a.DescartesApp.prototype.deactivateGraphiControls=function(){for(var a,d=0,b=this.controls.length;d<b;d++)a=this.controls[d],"graphic"==a.type&&a.deactivate()};
a.DescartesApp.prototype.updateAuxiliaries=function(){for(var a=0,d=this.auxiliaries.length;a<d;a++)this.auxiliaries[a].update()};a.DescartesApp.prototype.updateEvents=function(){for(var a=0,d=this.events.length;a<d;a++)this.events[a].update()};a.DescartesApp.prototype.updateControls=function(){for(var a=0,d=this.controls.length;a<d;a++)this.controls[a].update()};a.DescartesApp.prototype.updateSpaces=function(a){for(var d=0,b=this.spaces.length;d<b;d++)this.spaces[d].update(a)};a.DescartesApp.prototype.clear=
function(){for(var a=0,d=this.spaces.length;a<d;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.play()};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 d=this.images;if(a)return d[a]||(d[a]=new Image,d[a].addEventListener("load",function(){this.ready=1}),d[a].addEventListener("error",function(){this.errorload=1}),d[a].src=a),d[a]};a.DescartesApp.prototype.getAudio=function(a){var d=this.audios;if(a){if(!d[a]){var b=a.lastIndexOf("."),b=-1===b?a.lenght:b;a.substring(0,b);d[a]=new Audio(a);var e=function(a){this.ready=1};d[a].addEventListener("canplaythrough",
e);var g=function(b){this.canPlayType("audio/"+a.substring(a.length-3))||"mp3"!=a.substring(a.length-3)?(console.log("El archivo '"+a+"' no puede ser reproducido"),this.errorload=1):(d[a]=new Audio(a.replace("mp3","ogg")),d[a].addEventListener("canplaythrough",e),d[a].addEventListener("load",e),d[a].addEventListener("error",g),d[a].load())};d[a].addEventListener("error",g);d[a].play();setTimeout(function(){d[a].pause()},15)}return d[a]}return new Audio};a.DescartesApp.prototype.getControlByCId=function(a){for(var d,
b=0,e=this.controls.length;b<e;b++)if(d=this.controls[b],d.cID==a)return d;return{update:function(){},w:0}};a.DescartesApp.prototype.getControlById=function(a){for(var d,b=0,e=this.controls.length;b<e;b++)if(d=this.controls[b],d.id==a)return d;return{update:function(){}}};a.DescartesApp.prototype.getSpaceByCId=function(a){for(var d,b=0,e=this.spaces.length;b<e;b++)if(d=this.spaces[b],d.cID==a)return d;return{update:function(){},w:0}};a.DescartesApp.prototype.getSpaceById=function(a){for(var d,b=0,
e=this.spaces.length;b<e;b++)if(d=this.spaces[b],d.id==a)return d;return{update:function(){},w:0}};var g;a.DescartesApp.prototype.getState=function(){var a,d="",b=this.evaluator.variables,h;for(h in b)b.hasOwnProperty(h)&&(a=b[h],"string"==typeof a&&(a="'"+a+"'"),void 0!=a&&"rnd"!=h&&"pi"!=h&&"e"!=h&&"Infinity"!=h&&"-Infinity"!=h&&"object"!=typeof a&&(d=""!=d?d+"\n"+h+"="+a:h+"="+a));var b=this.evaluator.vectors,g;for(g in b)b.hasOwnProperty(g)&&(a=b[g],d=d+"\n"+g+"="+e(a));g=this.evaluator.matrices;
for(var f in g)g.hasOwnProperty(f)&&(a=g[f],d=d+"\n"+f+"="+e(a));return d};a.DescartesApp.prototype.setState=function(a,d){for(var b=a.split("\n"),e,g,f=0,k=b.length;f<k;f++)e=b[f].split("="),2<=e.length&&(g=eval(e[1]),-1!=e[1].indexOf("[[")?(this.evaluator.matrices[e[0]]=g,this.evaluator.matrices[e[0]].rows=g.length,this.evaluator.matrices[e[0]].cols=g[0].length):-1!=e[1].indexOf("[")?(this.evaluator.vectors[e[0]]=g,this.evaluator.variables[e[0]+".long"]=g.length):this.evaluator.variables[e[0]]=
g);d||this.update()};a.DescartesApp.prototype.getEvaluation=function(){for(var a=0,d=0,b="",e=0,g=this.controls.length;e<g;e++)"textfield"==this.controls[e].gui&&this.controls[e].evaluate&&(a++,d+=this.controls[e].ok,this.controls[e].value=""==this.controls[e].value?"''":this.controls[e].value,b+=" \\n "+this.controls[e].id+"="+this.controls[e].value+"|"+this.controls[e].ok);return"questions="+a+" \\n correct="+d+" \\n wrong="+(a-d)+b};a.DescartesApp.prototype.showSolution=function(){for(var a=this.controls,
d=0,b=a.length;d<b;d++)"textfield"==a[d].gui&&a[d].evaluate&&a[d].changeValue(a[d].getFirstAnswer());this.update()};a.DescartesApp.prototype.showAnswer=function(){for(var a=0,d=this.saveState.length;a<d;a++)this.evaluator.evalExpression(this.saveState[a]);this.update()};return a}(descartesJS||{}),descartesJS=function(a){function e(){var a=document.getElementById("StyleDescartesApps");a&&a.parentNode.removeChild(a);a=document.createElement("style");a.id="StyleDescartesApps";a.type="text/css";a.setAttribute("rel",
"stylesheet");a.innerHTML="applet.DescartesJS {display:none;} applet {display:none;} ajs.DescartesJS {display:none;} ajs {display:none;}";document.head.appendChild(a)}function g(b){b=document.createElement("div");b.innerHTML='<span style="font:12px descartesJS_serif;visibility:hidden;">_</span><span style="font:12px descartesJS_sansserif;visibility:hidden;">_</span><span style="font:12px descartesJS_monospace;visibility:hidden;">_</span>';document.body.appendChild(b);a.getFeatures();if(a.hasCanvasSupport){window.scrollTo(0,
10);for(var c=document.getElementsByTagName("*"),d=[],e=0,g=c.length;e<g;e++)"DescartesAppContainer"==c[e].className&&d.push(c[e]);e=0;for(g=d.length;e<g;e++)d[e].parentNode.removeChild(d[e]);for(var d=document.getElementsByTagName("applet"),e=document.getElementsByTagName("ajs"),c=[],m=0,s=d.length;m<s;m++)g=d[m],(g.getAttribute("code").match("DescartesJS")||g.getAttribute("code").match("descinst.DescartesWeb2_0.class")||g.getAttribute("code").match("Descartes")||g.getAttribute("code").match("Arquimedes")||
g.getAttribute("code").match("Discurso"))&&c.push(g);m=0;for(s=e.length;m<s;m++)g=e[m],(g.getAttribute("code").match("DescartesJS")||g.getAttribute("code").match("descinst.DescartesWeb2_0.class")||g.getAttribute("code").match("Descartes")||g.getAttribute("code").match("Arquimedes")||g.getAttribute("code").match("Discurso"))&&c.push(g);d=0;for(e=c.length;d<e;d++)a.apps.push(new a.DescartesApp(c[d])),c[d].className="DescartesJS";window.addEventListener("resize",a.onResize);window.scrollTo(0,2);document.body.setAttribute("tabIndex",
1E6)}else document.getElementById("StyleDescartesApps").innerHTML="applet.DescartesJS {display:block;} applet {display:block;} ajs.DescartesJS {display:block;} ajs {display:block;}";document.body.removeChild(b)}if(a.loadLib)return a;a.apps=[];a.getDescartesApps=function(){return a.apps};window.hasOwnProperty("debugDescartesJS")&&debugDescartesJS||e();a.onResize=function(b){for(var c=0,d=a.apps.length;c<d;c++){b=a.apps[c].spaces;for(var e=0,g=b.length;e<g;e++)b[e].findOffset()}};a.receiveMessage=function(b){if(0<
a.apps.length){var c=b.data;c&&("set"===c.type?"string"==typeof c.value||"number"==typeof c.value?a.apps[0].evaluator.setVariable(c.name,c.value):c.value&&void 0!=c.value.rows?a.apps[0].evaluator.matrices[c.name]=c.value:a.apps[0].evaluator.vectors[c.name]=c.value:"update"===c.type?a.apps[0].update():"exec"===c.type?(b=a.apps[0].evaluator.getFunction(c.name),c=c.value.toString().split(","),b&&b.apply(a.apps[0].evaluator,c)):"isResizeNeeded"===c.type?b.source.postMessage({type:"doResize"},"*"):"doResize"===
c.type&&0<a.apps.length&&a.apps[0].adjustSize())}};if(void 0==a.loadLib){a.loadLib=!0;window.addEventListener("load",g);window.addEventListener("message",a.receiveMessage);for(var c=["webkitTransitionEnd","transitionend","oTransitionEnd","MSTransitionEnd"],d=0,b=c.length;d<b;d++)window.addEventListener(c[d],function(b){a.onResize(b)})}return a}(descartesJS||{});
