/*
 Joel Espinosa Longi
 jlongi@im.unam.mx
 https://github.com/jlongi/DescartesJS
 LGPL - http://www.gnu.org/licenses/lgpl.html
 2015-11-11_2
*/
var babel=function(a){if(a.loadLib)return a;a.loadLib=!0;a.falso=a["false"]=a.fals=a.gezurra=a.faux=a.fals="false";a.verdadero=a["true"]=a.veritable=a.egia=a.vrai=a.verdadeiro=a.veritable="true";a.no=a.ez=a.non=a["n\u00e3o"]="false";a["s\u00ed"]=a.yes=a.bai=a.oui=a.si=a["sim "]="true";a.negro=a.black=a.negre=a.beltza=a.noir=a.preto=a["#000000"]="#000000";a.maxenta=a.magenta=a["#ff00ff"]="#ff00ff";a.azul=a.blue=a.blau=a.urdina=a.bleu=a["#0000ff"]="#0000ff";a.turquesa=a.cyan=a.turkesa=a.turquoise=a["#00ffff"]=
"#00ffff";a.verde=a.green=a.verd=a.berdea=a.vert=a["#00ff00"]="#00ff00";a.amarillo=a.yellow=a.groc=a.horia=a.jaune=a.amarelo=a["#ffff00"]="#ffff00";a.naranja=a.orange=a.taronja=a.laranja=a.laranxa=a["#ffc800"]="#ffc800";a.rojo=a.red=a.vermell=a.gorria=a.rouge=a.vermello=a.vermelho=a["#ff0000"]="#ff0000";a.pink=a.rosa=a.arrosa=a.rose=a["#ffafaf"]="#ffafaf";a.grisObscuro=a.darkGray=a.grisFosc=a["gris iluna"]=a.grisObscur=a.grisEscuro=a.cinzaEscuro=a["#404040"]="#404040";a.gris=a.gray=a.grisa=a.cinza=
a["#808080"]="#808080";a.grisClaro=a.lightGray=a.grisClar=a["gris argia"]=a.grisClair=a.cinzaClaro=a["#c0c0c0"]="#c0c0c0";a.blanco=a.white=a.blanc=a.zuria=a.branco=a["#ffffff"]="#ffffff";a.escala=a.scale=a.eskala=a["\u00e9chelle"]="scale";a.nombre=a.name=a.nom=a.izena=a.nome="name";a.ikusgai=a["vis\u00edvel"]=a.visible="visible";a.rastro=a.trace=a.rastre=a.arrastoa="trace";a.fondo=a.background=a.fons=a.hondoa=a.fond=a.fundo="background";a["par\u00e1metro"]=a.parameter=a.parametroa=a["par\u00e2metro"]=
a["par\u00e0metre"]="parameter";a["sucesi\u00f3n"]=a.sequence=a["successi\u00f3"]=a.segida=a.succession=a["seq\u00fc\u00eancia"]="sequence";a["tama\u00f1o"]=a.size=a.neurria=a.taille=a.tamanho=a["grand\u00e0ria"]="size";a.decimales=a.decimals=a.hamartarra=a["d\u00e9cimales"]=a.decimais="decimals";a.red=a.net=a.xarxa=a.sarea=a["r\u00e9seau"]=a.rede=a.malha="net";a.red10=a.net10=a.xarxa10=a.sarea10=a["r\u00e9seau10"]=a.rede10=a.malha10="net10";a.ejes=a.axes=a.eixos=a.ardatzak=a.eixes="axes";a.texto=
a.text=a.testua=a.texte="text";a["cr\u00e9ditos"]=a.about=a["cr\u00e8dits"]=a.kreditoak=a["cr\u00e9dits"]=a.sobre="about";a.config=a.konfig=a["configura\u00e7\u00e3o"]="config";a.limpiar=a.clear=a.neteja=a.ezabatu=a.nettoye=a.limpar="clear";a.incr=a.gehi=a.incremento="incr";a.min=a.inf="min";a.max=a.sup=a["m\u00e1x"]="max";a.relleno=a.fill=a.ple=a.betea=a.plein=a.recheo=a.preencher="fill";a["relleno+"]=a["fill+"]=a["ple+"]=a["betea+"]=a["plein+"]=a["recheo+"]=a["preencher+"]=a.fillP="fillP";a["relleno-"]=
a["fill-"]=a["ple-"]=a["betea-"]=a["plein-"]=a["recheo-"]=a["preencher-"]=a.fillM="fillM";a.flecha=a.arrow=a.fletxa=a.gezia=a["fl\u00e8che"]=a.frecha=a.seta="arrow";a.ancho=a.width=a.ample=a.zabalera=a.large=a.largura="width";a.punta=a.spear=a.muturra=a.pointe=a.ponta="spear";a["regi\u00f3n"]=a.region=a["regi\u00f3"]=a.eskualde=a["r\u00e9gion"]=a["rexi\u00f3n"]=a["regi\u00e3o"]="region";a.norte=a.north=a.nord=a.ipar="north";a.sur=a.south=a.sud=a.hego=a.sul="south";a.este=a.east=a.est=a.ekialde=a.leste=
"east";a.oeste=a.west=a.oest=a.hegoalde=a.ouest="west";a.exterior=a.external=a.kanpoalde=a.externo="external";a["expresi\u00f3n"]=a.expresion=a["expresi\u00f3"]=a.adierazpen=a["express\u00e3o"]="expresion";a.tipo=a.type=a.tipus=a.mota="type";a["posici\u00f3n"]=a.position=a["posici\u00f3"]=a.posizio=a["posi\u00e7\u00e3o"]="position";a["constricci\u00f3n"]=a.constraint=a["constricci\u00f3"]=a.beharte=a.constriction=a["constrici\u00f3n"]=a["restri\u00e7\u00e3o"]="constraint";a.valor=a.value=a.balio=
a.valeur="value";a["ecuaci\u00f3n"]=a.equation=a["equaci\u00f3"]=a.ekuazio=a["\u00e9quation"]=a["equa\u00e7\u00e3o"]="equation";a.curva=a.curve=a.corba=a.kurba=a.courbe="curve";a.texto=a.text=a.testu=a.texte="text";a.punto=a.point=a.punt=a.puntu=a.ponto="point";a.segmento=a.segment=a.zuzenki="segment";a.arco=a.arc=a.arku="arc";a["pol\u00edgono"]=a.polygon=a["pol\u00edgon"]=a.poligono=a.polygone="polygon";a.imagen=a.image=a.imatge=a.irudi=a.imaxe=a.imagem="image";a["Versi\u00f3n"]=a.Version=a["Versi\u00f3"]=
a["Vers\u00e3o"]=a.version="version";a.Idioma=a.Language=a.Hizkuntza=a.Langue=a.language="language";a["O.x"]="O.x";a["O.y"]="O.y";a.Botones=a.Buttons=a.Botons=a.Botoiak=a.Boutons=a["Bot\u00f3ns"]=a["Bot\u00f5es"]=a.Botons="Buttons";a["Animaci\u00f3n"]=a.Animation=a["Animaci\u00f3"]=a.Animazio=a["Anima\u00e7\u00e3o"]="Animation";a.constante=a.constant=a.Konstante="constant";a.fuente=a.font=a.iturri=a.source=a.fonte="font";a["num\u00e9rico"]=a.numeric=a["num\u00e8ric"]=a.zenbakizko=a["num\u00e9rique"]=
"numeric";a["gr\u00e1fico"]=a.graphic=a["gr\u00e0fic"]=a.grafiko=a.graphique="graphic";a.inicio=a.init=a.inici=a.hasiera=a.commencement=a["in\u00edcio"]="init";a.hacer=a["do"]=a.fer=a.egin=a.faire=a.facer=a.fazer=a.doExpr="doExpr";a.mientras=a["while"]=a.mentre=a.bitartean=a["tandis que"]=a.mentres=a.enquanto=a.whileExpr="whileExpr";a.evaluar=a.evaluate=a.avalua=a.ebaluatu=a["\u00e9valuer"]=a.avaliar="evaluate";a.variable=a.aldagaia=a["vari\u00e1vel"]="variable";a["funci\u00f3n"]=a["function"]=a["funci\u00f3"]=
a.funtzio=a.fonction=a["fun\u00e7\u00e3o"]="function";a.algoritmo=a.algorithm=a.algorisme=a.algorithme="algorithm";a.vector=a.array=a.bektore=a.vecteur=a.matriz="array";a["dibujar-si"]=a["draw-if"]=a["marraztu-baldin"]=a["dessiner-si"]=a["debuxar-se"]=a["desenhar-se"]=a["dibuixa-si"]=a.drawif="drawif";a.dominio=a.range=a.domini=a["izate-eremua"]=a.domain=a["dom\u00ednio"]="range";a.pausa=a.delay=a.eten="delay";a["eje-x"]=a["x-axis"]=a["eix-x"]=a["x-ardatza"]=a["axe-x"]=a["eixe-x"]=a["eixo-x"]=a.x_axis=
"x_axis";a["eje-y"]=a["y-axis"]=a["eix-y"]=a["y-ardatza"]=a["axe-y"]=a["eixe-y"]=a["eixo-y"]=a.y_axis="y_axis";a["n\u00fameros"]=a.numbers=a.nombres=a.zenbakiak="numbers";a["exponencial-si"]=a["exponential-if"]=a["esponentzial-baldin"]=a["exponentiel-si"]=a["exponencial-se"]=a.exponentialif="exponentialif";a.familia=a.family=a["fam\u00edlia"]=a.famille="family";a.intervalo=a.interval=a.tarte=a.intervalle="interval";a.pasos=a.steps=a.passos=a.pausoak=a.pas="steps";a.centro=a.center=a.centre=a.zentro=
"center";a.radio=a.radius=a.radi=a.erradio=a.rayon=a.raio="radius";a.fin=a.end=a.fi=a.bukaera=a.fim="end";a["una-sola-vez"]=a["only-once"]=a["una-sola-vegada"]=a["behin-bakarrik"]=a["une-seule-fois"]=a["unha-soa-vez"]=a["apenas-uma-vez"]=a.onlyOnce="onlyOnce";a.siempre=a.always=a.sempre=a.beti=a.toujours="always";a["color-int"]=a["int-colour"]=a["barruko-kolore"]=a["couleur-int"]=a["cor-int"]=a.colorInt="colorInt";a.repetir=a.loop=a.repeteix=a.errepikatu=a["r\u00e9p\u00e9ter"]="loop";a.controles=
a.controls=a.kontrolak=a["contr\u00f4les"]=a.controis="controls";a.animar=a.animate=a.anima=a.animatu=a.animer="animate";a.auto="auto";a.alto=a.height=a.alt=a.altu=a.haut=a.altura="height";a.x=a.left="x";a.y=a.top="y";a.espacio=a.space=a.espai=a.espazio=a.espace=a.espazo=a["espa\u00e7o"]="space";a.Nu="Nu";a.Nv="Nv";a.ancho=a.depth=a.amplada=a.zabalera=a.largeur=a.ancho=a.profundidade=a.amplada=a.width="width";a.largo=a.length=a.llargada=a.luzera=a.longueur=a.longo=a.comprimento=a.llargada="length";
a.alto=a.height=a["al\u00e7ada"]=a.altu=a.hauteur=a.alto=a.altura=a["al\u00e7ada"]="height";a.color_reverso=a.backcolor=a.color_revers=a["atzealde kolorea"]=a.couleur_revers=a.cor_reverso=a.cor_de_fundo="backcolor";a.aristas=a.edges=a.arestes=a.ertzak=a["ar\u00eates"]=a.arestas="edges";a.rotini=a.inirot="inirot";a.posini=a.inipos="inipos";a["tri\u00e1ngulo"]=a.triangle=a.hirukia=a["tri\u00e2ngulo"]="triangle";a.cara=a.face=a.aurpegi="face";a.polireg=a.regpoly=a["pol\u00edgonoRegular"]="polireg";a.superficie=
a.surface=a["superf\u00edcie"]=a.azalera="surface";a.cubo=a.cube=a.cub=a.kubo="cube";a["paralelep\u00edpedo"]=a.box=a["paral\u00b7lelep\u00edpede"]=a.paralelepipedo=a["parall\u00e9l\u00e9pip\u00e8de"]="box";a.cono=a.cone=a.con=a.kono=a["c\u00f4ne"]="cone";a.cilindro=a.cylinder=a.cilindre=a.zilindro=a.cylindre="cylinder";a.esfera=a.sphere=a["sph\u00e8re"]="sphere";a.tetraedro=a.tetrahedron=a.tetraedre=a["t\u00e9tra\u00e8dre"]="tetrahedron";a.octaedro=a["octahedron="]=a.octaedre=a.oktaedro=a["octa\u00e8dre"]=
"octahedron";a.dodecaedro=a.dodecahedron=a.dodecaedre=a.dodekaedro=a["dod\u00e9ca\u00e8dre"]="dodecahedron";a.icosaedro=a.icosahedron=a.icosaedre=a.ikosaedro=a["icosa\u00e8dre"]="icosahedron";a.elipsoide=a.ellipsoid=a["el\u00b7lipsoide"]=a["ellipso\u00efde"]=a["elips\u00f3ide"]="ellipsoid";a.macro=a.makro="macro";a.id="id";a.modelo=a.model=a.eredu=a["mod\u00e8le"]="model";a.color=a.kolore=a.couleur=a.cor=a.colour=a.kolorea="color";a.luz=a.light=a.llum=a.argia=a["lumi\u00e8re"]="light";a.metal=a.metall=
a["m\u00e9tal"]="metal";a.alambre=a.wire=a.filferro=a.alanbre=a["fil de fer"]=a.arame="wire";a.cortar=a.split=a.talla=a.moztu=a.couper=a.dividir="split";a.despliegue=a.render=a.desplegament=a.zabaltze=a["d\u00e8ploiement"]=a.despregamento=a.processar="render";a.orden=a.sort=a.ordre=a.ordena=a.orde=a.ordenar="sort";a.pintor=a.painter=a.margolari=a.peintre="painter";a["trazado de rayos"]=a["ray trace"]=a["tra\u00e7at de raigs"]=a["izpi trazadura"]=a["trace de rayons"]=a["trazado de raios"]=a["tra\u00e7ado de raios"]=
a.raytrace="raytrace";a.imagen=a.bg_image=a.imatge=a.irudia=a.imaxe=a.imagem_de_fundo=a.image="image";a.despl_imagen=a.bg_display=a.despl_imatge=a["irudi desplazamendu"]=a.despl_image=a.despr_imaxe=a["apresenta\u00e7\u00e3o_de_imagem"]="bg_display";a["arr-izq"]=a.topleft=a["dalt-esq"]=a["goi-ezk"]=a["au-dessus-gau"]=a["arr-esq"]=a["acima-esquerda"]="topleft";a["expand."]=a.stretch=a.hedatu=a["expandir "]="stretch";a.mosaico=a.patch=a.mosaic=a.mosaiko=a["mosa\u00efque"]="patch";a.centrada=a.center=
a.zentratu=a["centr\u00e9e"]=a.centrado="imgcenter";a.archivo=a.file=a.fitxer=a.artxibo=a.fichier=a.arquivo="file";a.tipo_de_macro=a.macro_type=a.tipus_de_macro=a.makro_mota=a.type_de_macro=a.tipo_de_macro=a.tipo_de_macro=a.tipus_de_macro="macro_type";a.filas_norte=a.rows_north=a.files_nord=a["HTML kodea"]=a.files_nord=a.filas_norte=a.linhas_norte=a.files_nord=a.rowsNorth="rowsNorth";a.filas_sur=a.rows_south=a.files_sud=a.ipar_lerro=a.files_sud=a.filas_sur=a.linhas_sul=a.files_sud=a.rowsSouth="rowsSouth";
a.ancho_este=a.width_east=a.ample_est=a.hego_lerro=a.ample_est=a.ancho_leste=a.largura_leste=a.ample_est=a.widthEast="widthEast";a.ancho_oeste=a.width_west=a.ample_oest=a.ekialde_zabalera=a.ample_ouest=a.ancho_oeste=a.largura_oeste=a.ample_oest=a.widthWest="widthWest";a.fijo=a.fixed=a.fix=a.hegoalde_zabalera=a.fixe=a.fixo="fixed";a["Reiniciar Animaci\u00f3n"]=a["Init Animation"]=a["Reinicia Animaci\u00f3"]=a.finko=a["Recommencer l'Animation"]=a["Reiniciar Anima\u00e7\u00e3o"]=a.initAnimation="initAnimation";
a["Explicaci\u00f3n"]=a.Explanation=a.Azalpena=a.Explication=a["Explica\u00e7\u00e3o"]=a["Explicaci\u00f3"]="Explanation";a.tooltip=a.dica="tooltip";a.discreto=a.discrete=a.discret=a.diskretu="discrete";a.interfaz=a.gui=a["interf\u00edcie"]=a.interfaze=a["interface"]="gui";a.pulsador=a.spinner=a.polsador=a.pultsadore=a.bouton="spinner";a["campo de texto"]=a.textfield=a["camp de text"]=a["testu esarrua"]=a["champ de texte"]="textfield";a["men\u00fa"]=a.choice=a.menu=a.escolha="menu";a.barra=a.scrollbar=
a.barre="scrollbar";a.opciones=a.options=a.opcions=a.aukerak=a["opci\u00f3ns"]=a["op\u00e7\u00f5es"]="options";a.interior=a.barruko=a["int\u00e9rieur"]="interior";a["condici\u00f3n"]=a.condition=a["condici\u00f3"]=a.baldintza=a["condi\u00e7\u00e3o"]="condition";a["acci\u00f3n"]=a.action=a["acci\u00f3"]=a.ekintza=a["a\u00e7\u00e3o"]="action";a.evento=a.event=a.esdeveniment=a.gertaera=a["\u00e9v\u00e9nement"]="event";a["abrir URL"]=a["open URL"]=a["obre URL"]=a["URL zabaldu"]=a["ouvrir URL"]=a.openURL=
"openURL";a["abrir Escena"]=a["open Scene"]=a["obre Escena"]=a["eszena zabaldu"]=a["ouvrir Escena"]=a["abrir Cena"]=a.openScene="openScene";a["bot\u00f3n"]=a.button=a["bot\u00f3"]=a.botoi=a.bouton=a["bot\u00e3o"]="button";a.mensaje=a.message=a.mezua=a.mensaxe=a.mensagem=a.missatge="message";a.alternar=a.alternate=a.alterna=a.txandakatu=a.alterner="alternate";a["ejecuci\u00f3n"]=a.execution=a["execuci\u00f3"]=a.gauzatze=a["ex\u00e9cution"]=a["execuci\u00f3n"]=a["execu\u00e7\u00e3o"]="execution";a.calcular=
a.calculate=a.calcula=a.kalkulatu=a.calculer="calculate";a.coord_abs=a.abs_coord=a.koor_abs="abs_coord";a.negrita=a.bold=a.negreta=a.lodi=a["caract\u00e8re gras"]=a.negra=a.negrito="bold";a.cursiva=a.italics=a.etzana=a.italique=a["it\u00e1lico"]="italics";a.subrayada=a.underlined=a.subratllat=a.azpimarratua=a.soulignement=a["subli\u00f1ada"]=a.sublinhado="underlined";a.imagen=a.image=a.imatge=a.irundia=a.imaxe=a.imagem="image";a.pos_mensajes=a.msg_pos=a.pos_missatges=a.mezuen_pos=a.pos_messages=a.pos_mensaxes=
"msg_pos";a.izquierda=a.left=a.esquerra=a.eskerrean=a.gauche=a.esquerda=a.esquerda=a.esquerra=a.x="x";a.derecha=a.right=a.dreta=a.eskuinan=a.droite=a.dereita=a.direita=a.dreta="right";a["sensible_a_los_movimientos_del_rat\u00f3n"]=a.sensitive_to_mouse_movements=a["sensible_als_moviments_del_ratol\u00ed"]=a["xagu mugimenduarekiko sentikorra"]=a.sensible_aux_mouvements_du_souris=a.sensible_aos_movementos_do_rato=a["sens\u00edvel_aos_movimentos_do_mouse"]="sensitive_to_mouse_movements";a.reproducir=
a.play=a.reprodueix=a.erreproduzitu=a.reproduire=a.reproduzir=a.playAudio="playAudio";a["activo-si"]=a["active-if"]=a["actiu-si"]=a["altiboa-baldin"]=a["actif-si"]=a["activo-se"]=a["ativo-se"]=a.activeif="activeif";a.rotfin=a.finrot=a.bukrot=a.endrot="endrot";a.posfin=a.finpos=a.bukpos=a.endpos="endpos";a.editable=a.editagarria=a["edit\u00e1vel"]="editable";a.tipo=a.type=a.tipus=a.mota="type";a.R2="R2";a.R3="R3";a.vectores=a.bektoreak=a.vecteurs=a.vetores=a.vectors="vectors";a["fuente puntos"]=a["font size"]=
a["font punts"]=a["puntu iturria"]=a["source points"]=a["fonte puntos"]=a["fonte pontos"]=a.font_size="font_size";a["ecuaci\u00f3n"]=a.equation=a["equaci\u00f3"]=a.ekuazio=a["\u00e9quation"]=a["equa\u00e7\u00e3o"]="equation";a.punto=a.dot=a.punt=a.puntu=a.point=a.ponto="point";a.escenario=a.scenario=a.escenari=a.agertoki=a["sc\u00e8ne"]=a["cen\u00e1rio"]="scenario";a.cID="cID";a.matriz=a.matrix=a.matriu=a.matrice="matrix";a.filas=a.rows=a.files="rows";a.columnas=a.columns=a.colonnes="columns";a.solo_texto=
a.only_text=a.seulement_texte=a["s\u00f3_texto"]=a.tan_sols_texte=a.onlyText="onlyText";a.respuesta=a.answer="answer";a.peso=a.weight=a.pes="weight";a.decimal_symbol=a["signo decimal"]=a["decimal symbol"]="decimal_symbol";a.info="info";a.color_contorn_text=a.color_text_border=a.color_borde_texto=a.muga_testuaren_kolorea=a.couleur_contour_texte=a.cor_borde_texto=a.colore_bordo_testo=a.cor_borda_texto=a.color_contorn_text=a.border="border";a.video=a["vid\u00e9o"]="video";a.audio=a["\u00e0udio"]="audio";
a.autoplay="autoplay";a.loop="loop";a.poster="poster";a.opacidad=a.opacity=a["opacit\u00e9"]=a.opacitat=a.opacidade="opacity";a.alinear=a.align=a["ali\u00f1ar"]=a.aligner="align";a.malla=a.mesh="mesh";a.local=a.Local="local";return a}(babel||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d;a.convertFont=function(a){if(""==a)return a;g=a.split(",");d="";"bold"==g[1].toLowerCase()?d+="Bold ":"italic"==g[1].toLowerCase()||"italics"==g[1].toLowerCase()?d+="Italic ":"bold+italic"==g[1].toLowerCase()&&
(d+="Italic Bold ");fontName=g[0].split(" ")[0].toLowerCase();d+=g[2]+"px ";return d="serif"===fontName||"times new roman"===fontName||"timesroman"===fontName||"times"===fontName?d+"descartesJS_serif,Times,'Times New Roman', serif":"sansserif"===fontName||"arial"===fontName||"helvetica"===fontName?d+"descartesJS_sansserif,Arial,Helvetica,Sans-serif":d+"descartesJS_monospace,Courier,'Courier New',Monospace"};a.getTextWidth=function(c,h){a.ctx.font=h;return Math.round(a.ctx.measureText(c).width)};a.getFieldFontSize=
function(a){a=Math.min(50,a);return a=24<=a?Math.floor(a/2+2-a/16):20<=a?12:17<=a?11:15<=a?10:9};var f={ss_5:{a:5,d:3},ss_6:{a:5,d:3},ss_7:{a:6,d:3},ss_8:{a:7,d:3},ss_9:{a:9,d:4},ss_10:{a:10,d:4},ss_11:{a:11,d:4},ss_12:{a:12,d:4},ss_13:{a:13,d:4},ss_14:{a:13,d:4},ss_15:{a:14,d:4},ss_16:{a:15,d:4},ss_17:{a:15,d:5},ss_18:{a:16,d:5},ss_19:{a:18,d:5},ss_20:{a:19,d:5},ss_21:{a:19,d:6},ss_22:{a:20,d:6},ss_23:{a:21,d:6},ss_24:{a:21,d:7},ss_25:{a:23,d:6},ss_26:{a:25,d:7},ss_27:{a:26,d:7},ss_28:{a:26,d:7},
ss_29:{a:27,d:7},ss_30:{a:28,d:8},ss_31:{a:28,d:8},ss_32:{a:29,d:8},ss_33:{a:31,d:8},ss_34:{a:32,d:8},ss_35:{a:32,d:9},ss_36:{a:33,d:9},ss_37:{a:34,d:10},ss_38:{a:34,d:10},ss_39:{a:35,d:10},ss_40:{a:36,d:10},ss_41:{a:38,d:11},ss_42:{a:38,d:11},ss_43:{a:39,d:11},ss_44:{a:40,d:11},ss_45:{a:40,d:11},ss_46:{a:42,d:11},ss_47:{a:43,d:11},ss_48:{a:45,d:11},ss_49:{a:45,d:13},ss_50:{a:46,d:13},ss_51:{a:47,d:13},ss_52:{a:48,d:13},ss_53:{a:48,d:14},ss_54:{a:49,d:14},ss_55:{a:51,d:14},ss_56:{a:52,d:14},ss_57:{a:52,
d:14},ss_58:{a:53,d:14},ss_59:{a:53,d:14},ss_60:{a:54,d:14},ss_61:{a:55,d:15},ss_62:{a:56,d:15},ss_63:{a:57,d:15},ss_64:{a:58,d:15},ss_65:{a:59,d:16},ss_66:{a:60,d:16},ss_67:{a:60,d:16},ss_68:{a:61,d:16},ss_69:{a:62,d:17},ss_70:{a:63,d:17},ss_71:{a:64,d:17},ss_72:{a:65,d:17},ss_73:{a:66,d:17},ss_74:{a:66,d:17},ss_75:{a:67,d:17},ss_76:{a:68,d:17},ss_77:{a:70,d:18},ss_78:{a:70,d:18},ss_79:{a:71,d:18},ss_80:{a:72,d:18},ss_81:{a:73,d:20},ss_82:{a:73,d:20},ss_83:{a:74,d:20},ss_84:{a:75,d:20},ss_85:{a:77,
d:20},ss_86:{a:77,d:20},ss_87:{a:78,d:20},ss_88:{a:79,d:20},ss_89:{a:80,d:20},ss_90:{a:80,d:20},ss_91:{a:81,d:20},ss_92:{a:83,d:20},ss_93:{a:84,d:20},ss_94:{a:84,d:20},ss_95:{a:85,d:20},ss_96:{a:86,d:20},ss_97:{a:87,d:20},ss_98:{a:87,d:20},ss_99:{a:89,d:20},s_5:{a:4,d:4},s_6:{a:5,d:4},s_7:{a:6,d:4},s_8:{a:7,d:4},s_9:{a:9,d:4},s_10:{a:10,d:3},s_11:{a:11,d:4},s_12:{a:12,d:4},s_13:{a:12,d:4},s_14:{a:13,d:4},s_15:{a:13,d:5},s_16:{a:15,d:5},s_17:{a:15,d:5},s_18:{a:16,d:5},s_19:{a:16,d:6},s_20:{a:17,d:6},
s_21:{a:18,d:6},s_22:{a:20,d:6},s_23:{a:20,d:7},s_24:{a:21,d:7},s_25:{a:23,d:7},s_26:{a:23,d:7},s_27:{a:24,d:8},s_28:{a:26,d:8},s_29:{a:26,d:8},s_30:{a:27,d:8},s_31:{a:28,d:9},s_32:{a:28,d:9},s_33:{a:29,d:9},s_34:{a:31,d:9},s_35:{a:32,d:10},s_36:{a:32,d:10},s_37:{a:33,d:10},s_38:{a:34,d:10},s_39:{a:34,d:12},s_40:{a:35,d:12},s_41:{a:37,d:12},s_42:{a:38,d:12},s_43:{a:39,d:12},s_44:{a:40,d:12},s_45:{a:41,d:13},s_46:{a:41,d:13},s_47:{a:42,d:13},s_48:{a:43,d:13},s_49:{a:44,d:15},s_50:{a:45,d:15},s_51:{a:45,
d:15},s_52:{a:46,d:15},s_53:{a:48,d:15},s_54:{a:48,d:15},s_55:{a:49,d:15},s_56:{a:50,d:15},s_57:{a:51,d:15},s_58:{a:52,d:15},s_59:{a:53,d:15},s_60:{a:54,d:15},s_61:{a:54,d:17},s_62:{a:55,d:17},s_63:{a:56,d:17},s_64:{a:57,d:17},s_65:{a:58,d:17},s_66:{a:59,d:17},s_67:{a:60,d:17},s_68:{a:61,d:17},s_69:{a:61,d:18},s_70:{a:62,d:18},s_71:{a:63,d:18},s_72:{a:64,d:18},s_73:{a:65,d:19},s_74:{a:66,d:19},s_75:{a:67,d:19},s_76:{a:67,d:19},s_77:{a:68,d:20},s_78:{a:70,d:20},s_79:{a:71,d:20},s_80:{a:71,d:20},s_81:{a:72,
d:21},s_82:{a:73,d:21},s_83:{a:73,d:21},s_84:{a:75,d:21},s_85:{a:76,d:21},s_86:{a:77,d:21},s_87:{a:77,d:21},s_88:{a:78,d:21},s_89:{a:79,d:21},s_90:{a:81,d:21},s_91:{a:81,d:21},s_92:{a:82,d:21},s_93:{a:83,d:21},s_94:{a:83,d:21},s_95:{a:84,d:21},s_96:{a:86,d:21},s_97:{a:87,d:21},s_98:{a:87,d:21},s_99:{a:88,d:21},m_5:{a:4,d:3},m_6:{a:5,d:3},m_7:{a:6,d:3},m_8:{a:6,d:3},m_9:{a:9,d:4},m_10:{a:9,d:4},m_11:{a:10,d:5},m_12:{a:11,d:5},m_13:{a:11,d:6},m_14:{a:11,d:7},m_15:{a:12,d:6},m_16:{a:13,d:6},m_17:{a:14,
d:7},m_18:{a:14,d:7},m_19:{a:15,d:7},m_20:{a:16,d:7},m_21:{a:16,d:8},m_22:{a:17,d:8},m_23:{a:17,d:9},m_24:{a:19,d:9},m_25:{a:21,d:9},m_26:{a:21,d:9},m_27:{a:22,d:9},m_28:{a:22,d:10},m_29:{a:23,d:10},m_30:{a:24,d:10},m_31:{a:25,d:11},m_32:{a:26,d:11},m_33:{a:26,d:11},m_34:{a:27,d:11},m_35:{a:28,d:11},m_36:{a:28,d:12},m_37:{a:28,d:11},m_38:{a:30,d:11},m_39:{a:31,d:12},m_40:{a:31,d:12},m_41:{a:32,d:14},m_42:{a:32,d:14},m_43:{a:33,d:14},m_44:{a:34,d:14},m_45:{a:35,d:14},m_46:{a:36,d:14},m_47:{a:37,d:14},
m_48:{a:37,d:14},m_49:{a:38,d:17},m_50:{a:38,d:17},m_51:{a:39,d:17},m_52:{a:41,d:17},m_53:{a:41,d:18},m_54:{a:42,d:18},m_55:{a:43,d:18},m_56:{a:43,d:18},m_57:{a:44,d:19},m_58:{a:46,d:19},m_59:{a:46,d:19},m_60:{a:47,d:19},m_61:{a:47,d:21},m_62:{a:48,d:21},m_63:{a:49,d:21},m_64:{a:49,d:22},m_65:{a:51,d:21},m_66:{a:52,d:21},m_67:{a:52,d:21},m_68:{a:53,d:21},m_69:{a:53,d:22},m_70:{a:54,d:22},m_71:{a:55,d:22},m_72:{a:56,d:22},m_73:{a:57,d:23},m_74:{a:58,d:23},m_75:{a:58,d:23},m_76:{a:59,d:23},m_77:{a:59,
d:24},m_78:{a:60,d:24},m_79:{a:62,d:24},m_80:{a:62,d:24},m_81:{a:63,d:25},m_82:{a:64,d:25},m_83:{a:64,d:25},m_84:{a:65,d:25},m_85:{a:65,d:25},m_86:{a:67,d:25},m_87:{a:68,d:25},m_88:{a:68,d:25},m_89:{a:69,d:25},m_90:{a:70,d:25},m_91:{a:70,d:25},m_92:{a:71,d:25},m_93:{a:72,d:25},m_94:{a:73,d:25},m_95:{a:74,d:25},m_96:{a:74,d:25},m_97:{a:75,d:25},m_98:{a:76,d:25},m_99:{a:77,d:25}},p={};document.createElement("canvas");var c;a.getFontMetrics=function(a){if(p[a])return p[a];c=parseInt(a.match(/(\d+\.*)+px/)[0]);
var h;a.match("sansserif")?h="ss_":a.match("serif")?h="s_":a.match("monospace")&&(h="m_");h=f[h+c];h={ascent:h.a,descent:h.d,h:h.a+h.d,baseline:h.a};return p[a]=h};return a}(descartesJS||{}),descartesJS=function(a){function g(){var a,e,b,l,k,c,h,d,q;Number.prototype.oToFixed=Number.prototype.toFixed;Number.prototype.toFixed=function(f){try{return this.oToFixed(f)}catch(m){f=f?f:0;f=0>f?0:parseInt(f);a=this.toString();k=a.indexOf("e");-1!==k&&(c=a.split("e"),d="-"===c[0][0]?"-":"",h="-"===d?parseFloat(c[0].substring(1)).oToFixed(11):
parseFloat(c[0]).oToFixed(11),q=parseInt(c[1]),e=h.indexOf("."),0>e+q?(e=0>e?1:e,a=d+"0."+Array(Math.abs(e+q)+1).join("0")+h.replace(".","")):(h=h.replace(".",""),a=d+h+Array(q-h.length+2).join("0")));e=a.indexOf(".");b="";if(-1===e)0<f&&(b="."),b+=Array(f+1).join("0"),a+=b;else if(l=a.length-e-1,l>=f)11>=f&&(a=parseFloat(a).oToFixed(f)),a=0<f?a.substring(0,e+1+f):a.substring(0,e);else{var r=0;for(f-=l;r<f;r++)b+="0";a+=b}return a}}}function d(a,e,b){a.fillStyle="#c0c0c0";a.fillRect(e.offsetLeft,
e.offsetTop,e.offsetWidth,e.offsetHeight);f(a,e,b.controls)}function f(a,e,b){for(var l,c=b.length-1;0<=c;c--)l=b[c],l.drawIfValue&&a.drawImage(l.getScreenshot(),e.offsetLeft+l.x,e.offsetTop+l.y)}if(a.loadLib)return a;var p=2*Math.PI,c=360/p,m=p/360,h=Math.floor,b,u,k,r,q,t,w,e,n,l;a.rangeOK=1;a.cssScale=1;a.extend=function(a,e){if("function"==typeof Object.create)a.prototype=Object.create(e.prototype);else if(a.prototype.__proto__)a.prototype.__proto__=e.prototype;else for(var b in e.prototype)e.prototype.hasOwnProperty(b)&&
(a.prototype[b]=e.prototype[b]);a.prototype.uber=e.prototype};a.radToDeg=function(a){return a*c};a.degToRad=function(a){return a*m};a.drawLine=function(a,e,b,c,k,d,f){a.lineWidth=f||1;a.strokeStyle=d||"black";l=a.lineWidth%2?.5:0;a.beginPath();a.moveTo(h(e)+l,h(b)+l);a.lineTo(h(c)+l,h(k)+l);a.stroke()};a.getColor=function(a,e){if("string"==typeof e)return e;b=a.eval(e);u=h(255*b[0][0]);k=h(255*b[0][1]);r=h(255*b[0][2]);q=1-b[0][3];return"rgba("+u+","+k+","+r+","+q+")"};a.getFeatures=function(){var e=
navigator.appVersion.toLowerCase();a.hasTouchSupport=window.hasOwnProperty&&window.hasOwnProperty("ontouchstart")||"ontouchstart"in window||/android/i.test(e);a.isIOS=/iPad|iPhone/i.test(navigator.userAgent);e=document.createElement("canvas");a.hasCanvas=e.getContext&&e.getContext("2d");a.hasCanvas&&(a.ctx=document.createElement("canvas").getContext("2d"),a._ratio=1.5);g()};a.removeNeedlessDecimals=function(a){var e,b;if("string"==typeof a&&(e=a.indexOf("."),-1!=e)){b=a.substring(e);if(0==parseFloat(b))return a.substring(0,
e);for(var l=b.length;0<l;l--)if(0!=b.charAt(l))return a.substring(0,e+l+1)}return a};a.returnValue=function(a){return"number"===typeof a?parseFloat(a.toFixed(11)):a};a.whichBtn=function(a){return null!==a.which?2>a.which?"L":2===a.which?"M":"R":2>a.button?"L":4===a.button?"M":"R"};a.getCursorPosition=function(b,l){b.touches?(t=b.touches[0],w=t.pageX,e=t.pageY):(w=b.pageX,e=b.pageY);n=l.getBoundingClientRect();return{x:(w-window.pageXOffset-n.left)/a.cssScale,y:(e-window.pageYOffset-n.top)/a.cssScale}};
a.getScreenshot=function(){var e=a.apps[0],b,l=document.createElement("canvas"),c=new Image;if(e){l.setAttribute("width",e.width);l.setAttribute("height",e.height);for(var k=l.getContext("2d"),h=0,q=e.spaces.length;h<q;h++)b=e.spaces[h],b.drawIfValue&&"R2"===b.type&&(k.drawImage(b.backCanvas,b.x,b.y),k.drawImage(b.canvas,b.x,b.y),f(k,b.container,b.ctrs));0<e.northSpace.controls.length&&d(k,e.northSpace.container,e.northSpace);0<e.southSpace.controls.length&&d(k,e.southSpace.container,e.southSpace);
0<e.eastSpace.controls.length&&d(k,e.eastSpace.container,e.eastSpace);0<e.westSpace.controls.length&&d(k,e.westSpace.container,e.westSpace);c.src=l.toDataURL("image/png")}return c};window.requestAnimationFrame=window.requestAnimationFrame||window.mozRequestAnimationFrame||window.webkitRequestAnimationFrame||window.msRequestAnimationFrame;window.cancelAnimationFrame=window.cancelAnimationFrame||window.mozCancelAnimationFrame;a.setInterval=function(a,e){function b(){(new Date).getTime()-l>=e&&(a.call(),
l=(new Date).getTime());c.value=requestAnimationFrame(b)}if(!requestAnimationFrame)return setInterval(a,e);var l=(new Date).getTime(),c={};c.value=requestAnimationFrame(b);return c};a.clearInterval=function(a){a&&(cancelAnimationFrame?cancelAnimationFrame(a.value):clearInterval(a))};a.setTimeout=function(a,e){function b(){(new Date).getTime()-l>=e?a.call():c.value=requestAnimationFrame(b)}if(!requestAnimationFrame)return setTimeout(a,e);var l=(new Date).getTime(),c={};c.value=requestAnimationFrame(b);
return c};a.clearTimeout=function(a){a&&(cancelAnimationFrame?cancelAnimationFrame(a.value):clearTimeout(a))};a.showAbout=function(){var e="<html>\n<head>\n<style>\nbody{ text-align:center; }\niframe{ width:650px; height:73px; overflow:hidden; border:1px solid black; }\ndt{ font-weight:bold; margin-top:10px; }\n</style>\n</head>\n<body>\n<iframe src='http://arquimedes.matem.unam.mx/Descartes5/creditos/bannerPatrocinadores.html'></iframe>\n<h2> <a href='https://proyectodescartes.org/' target='_blank'>ProyectoDescartes.org</a> <br> <a href='http://descartesjs.org' target='_blank'>DescartesJS.org</a> </h2>\n<dl>\n<dt> Dise&ntilde;o funcional:</dt>\n<dd>\n<nobr>Jos&eacute; Luis Abreu Leon,</nobr>\n<nobr>Jos&eacute; R. Galo Sanchez,</nobr>\n<nobr>Juan Madrigal Muga</nobr>\n</dd>\n<dt>Autores del software:</dt>\n<dd>\n<nobr>Jos&eacute; Luis Abreu Leon,</nobr>\n<nobr>Marta Oliver&oacute; Serrat,</nobr>\n<nobr>Oscar Escamilla Gonz&aacute;lez,</nobr>\n<nobr>Joel Espinosa Longi</nobr>\n</dd>\n</dl>\n<p>\nEl software en Java est&aacute; bajo la licencia\n<a href='https://joinup.ec.europa.eu/software/page/eupl/licence-eupl'>EUPL v.1.1 </a>\n<br>\nEl software en JavaScript est&aacute; bajo licencia\n<a href='http://www.gnu.org/licenses/lgpl.html'>LGPL</a>\n</p>\n<p>\nLa documentaci&oacute;n y el c&oacute;digo fuente se encuentran en :\n<br>\n<a href='http://arquimedes.matem.unam.mx/Descartes5/'>http://arquimedes.matem.unam.mx/Descartes5/</a>\n</p>\n";
a.ccLicense&&(e+="<p>\nEste objeto, creado con Descartes, est&aacute; licenciado\npor sus autores como\n<a href='http://creativecommons.org/licenses/by-nc-sa/4.0/'><nobr>Creative Commons</nobr></a>\n<br>\n<a href='http://creativecommons.org/licenses/by-nc-sa/4.0/'><img src='https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png'></a>\n</p>");var e=e+"</body> </html>",b=window.open("","creditos","width=700,height=500,titlebar=0,toolbar=0,location=0,menubar=0,resizable=0,scrollbars=0,status=0");b.document.write(e);
b.document.close()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d;a.cacheFiles={};a.openExternalFile=function(f){if(a.cacheFiles[f])return a.cacheFiles[f];g=null;var p=!1;if(window.XMLHttpRequest)try{p=new XMLHttpRequest}catch(c){p=!1}else if(window.ActiveXObject)try{p=new ActiveXObject("Msxml2.XMLHTTP")}catch(c){try{p=new ActiveXObject("Microsoft.XMLHTTP")}catch(m){p=!1}}d=p;d.open("GET",f,!1);try{d.send(null),g=d.responseText,g.match(String.fromCharCode(65533))&&
(d.open("GET",f,!1),d.overrideMimeType("text/plain; charset=ISO-8859-1"),d.send(null),g=d.responseText)}catch(c){console.log("Error to load the file :",f),g=null}return g};a.addExternalFileContent=function(d,g){a.cacheFiles[d]=g};return a}(descartesJS||{}),descartesJS=function(a){function g(a){l=a.indexOf("--radial--");-1!=l&&(a=a.substring(0,l));c=a.trim();a={ignoreAcents:!1,ignoreCaps:!1,regExp:null};c[0]==c[c.length-1]&&"'"==c[0]&&(a.ignoreCaps=!0,c=c.substring(1,c.length-1),"`"==c[0]&&"\u00b4"==
c[c.length-1]&&(a.ignoreAcents=!0,c=c.substring(1,c.length-1)));"`"==c[0]&&"\u00b4"==c[c.length-1]&&(a.ignoreAcents=!0,c=c.substring(1,c.length-1),c[0]==c[c.length-1]&&"'"==c[0]&&(a.ignoreCaps=!0,c=c.substring(1,c.length-1)));"*"===c.charAt(0)&&"*"!==c.charAt(c.length-1)?c=c.substring(1)+"$":"*"!==c.charAt(0)&&"*"===c.charAt(c.length-1)?c="^"+c.substring(0,c.length-1):"*"!==c.charAt(0)&&"*"!==c.charAt(c.length-1)?c="^"+c+"$":"*"===c.charAt(0)&&"*"===c.charAt(c.length-1)&&(c=c.substring(1,c.length-
1));c=c.replace(/\?/g,"[\\S\\s]{1}");a.regExp=c;return a}function d(a,e){c=(a||"").trim();a={ignoreAcents:!1,ignoreCaps:!1,regExp:null};a.expr=c.split(",");a.expr[0]=a.expr[0].trim();a.expr[0]={type:a.expr[0].charAt(0),expr:e.parser.parse(a.expr[0].substring(1))};a.expr[1]=a.expr[1].trim();a.expr[1]={type:a.expr[1].charAt(a.expr[1].length-1),expr:e.parser.parse(a.expr[1].substring(0,a.expr[1].length-1))};return a}function f(a,b,l){b=parseFloat(b);u=a.expr[0];k=a.expr[1];r=l.eval(u.expr);q=l.eval(k.expr);
t="("==u.type;w="["==u.type;e=")"==k.type;n="]"==k.type;return(t&&b>r||w&&b>=r)&&(e&&b<q||n&&b<=q)?1:0}function p(a){return a.toString().replace(/\u00e1/g,"a").replace(/\u00e9/g,"e").replace(/\u00ed/g,"i").replace(/\u00f3/g,"o").replace(/\u00fa/g,"u").replace(/\u00c1/g,"A").replace(/\u00c9/g,"E").replace(/\u00cd/g,"I").replace(/\u00d3/g,"O").replace(/\u00da/g,"U").replace(/\u00f1/g,"n").replace(/\u00d1/g,"N")}if(a.loadLib)return a;var c,m,h,b,u,k,r,q,t,w,e,n,l;a.buildRegularExpresionsPatterns=function(a,
e){a=a||"";"("===a.charAt(0)&&")"===a.charAt(a.length-1)&&-1===a.indexOf(",")&&(a=a.substring(1,a.length-1));a=a.replace(/&squot;/g,"'").replace(/&amp;/g,"&").split("|");for(var b=0,l=a.length;b<l;b++){m=a[b].split("&");h=[];for(var k=0,f=m.length;k<f;k++)c=m[k],-1===c.indexOf(",")||"("!==c.charAt(0)&&"["!==c.charAt(0)||")"!==c.charAt(c.length-1)&&"]"!==c.charAt(c.length-1)?h.push(g(c)):h.push(d(c,e));a[b]=h}return a};a.escorrecto=function(e,l,c,k){c=c||a.externalEvaluator;k=k||a.buildRegularExpresionsPatterns(e,
c);l=p(l);e=0;for(var h=k.length;e<h;e++){m=k[e];b=!0;for(var d=0,q=m.length;d<q;d++)b=m[d].regExp?b&&!!l.match(new RegExp(p(m[d].regExp),"i")):b&&f(m[d],l,c);if(b)return 1}return 0};a.esCorrecto=function(e,l,k,h){k=k||a.externalEvaluator;h=h||a.buildRegularExpresionsPatterns(e,k);e=0;for(var d=h.length;e<d;e++){m=h[e];b=!0;for(var q=0,r=m.length;q<r;q++)(c=m[q].regExp)?(m[q].ignoreAcents&&(l=p(l),c=p(c)),m[q].ignoreCaps&&(l=l.toLowerCase(),c=p(c).toLowerCase()),b=b&&!!l.match(c)):b=b=b&&f(m[q],l,
k);if(b)return 1}return 0};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.getCCLImg=function(){var a=new Image;a.src="data:image/png;base64,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";
return a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,d,f,p,c,m,h,b,u,k,r,q,t,w;a.Color=function(a,b){this.b=this.g=this.r=0;this.a=1;this.evaluator=b;if(a){if(babel[a]&&("net"===babel[a]&&(a="rojo"),a=babel[a],this.r=parseInt("0x"+a.substring(1,3),16),this.g=parseInt("0x"+a.substring(3,5),16),this.b=parseInt("0x"+a.substring(5,7),16),this.colorStr=a,this.getColor=this.getColorStr),6===a.length&&(this.r=parseInt("0x"+a.substring(0,2),16),this.g=parseInt("0x"+
a.substring(2,4),16),this.b=parseInt("0x"+a.substring(4,6),16),this.colorStr="#"+a,this.getColor=this.getColorStr),8===a.length&&(this.r=parseInt("0x"+a.substring(2,4),16),this.g=parseInt("0x"+a.substring(4,6),16),this.b=parseInt("0x"+a.substring(6,8),16),this.a=1-parseInt("0x"+a.substring(0,2),16)/255,this.colorStr="rgba("+this.r+","+this.g+","+this.b+","+this.a+")",this.getColor=this.getColorStr),"("===a[0]){f=[];p=this.splitComa(a.substring(1,a.length-1));for(var l=0,k=p.length;l<k;l++)c=parseInt(p[l],
16),p[l]!=c.toString(16)&&p[l]!=="0"+c.toString(16)?("["===p[l].charAt(0)&&"]"===p[l].charAt(p[l].length-1)&&(p[l]=p[l].substring(1,p[l].length-1)),f.push(this.evaluator.parser.parse(p[l]))):f.push(this.evaluator.parser.parse((c/255).toString()));this.rExpr=f[0];this.gExpr=f[1];this.bExpr=f[2];this.aExpr=f[3];this.getColor=this.getColorExp}}else this.colorStr="rgba("+this.r+","+this.g+","+this.b+","+this.a+")",this.getColor=this.getColorStr};a.Color.prototype.splitComa=function(a){m=[];for(var c=
u=b=h=0,l=a.length;c<l;c++)k=a.charAt(c),"("===k?h++:")"===k?h--:"["===k?b++:"]"===k?b--:","===k&&0===h&&0===b&&(m.push(a.substring(u,c)),u=c+1);m.push(a.substring(u));return m};a.Color.prototype.getColorStr=function(){return this.colorStr};a.Color.prototype.getColorExp=function(){d=this.evaluator;this.r=g(255*d.eval(this.rExpr));this.g=g(255*d.eval(this.gExpr));this.b=g(255*d.eval(this.bExpr));this.a=1-d.eval(this.aExpr);return"rgba("+this.r+","+this.g+","+this.b+","+this.a+")"};a.Color.prototype.borderColor=
function(){return 380>this.r+this.g+this.b?"#ffffff":"#000000"};a.RGBAToHexColor=function(e){e=e.substring(5,e.length-1).split(",");r=parseInt(e[0]).toString(16);q=parseInt(e[1]).toString(16);t=parseInt(e[2]).toString(16);w=(255-parseInt(255*parseFloat(e[3]))).toString(16);r=1==r.length?"0"+r:r;q=1==q.length?"0"+q:q;t=1==t.length?"0"+t:t;w=1==w.length?"0"+w:w;return new a.Color(w+r+q+t)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=document.head,d=document.createElement("meta");
d.setAttribute("http-equiv","X-UA-Compatible");d.setAttribute("content","IE=edge,chrome=1");g.appendChild(d);d=document.createElement("meta");d.setAttribute("name","viewport");d.setAttribute("content","width=device-width,initial-scale=1.0,user-scalable=yes");document.querySelector("meta[name=viewport]")||g.appendChild(d);d=document.createElement("meta");d.setAttribute("name","apple-mobile-web-app-capable");d.setAttribute("content","yes");g.appendChild(d);d=document.createElement("meta");d.setAttribute("name",
"apple-mobile-web-app-status-bar-style");d.setAttribute("content","black");g.appendChild(d);(g=document.getElementById("StyleDescartesApps2"))&&g.parentNode.removeChild(g);g=document.createElement("style");g.type="text/css";g.id="StyleDescartesApps2";g.setAttribute("rel","stylesheet");document.head.appendChild(g);g.innerHTML="div.DescartesCatcher{background-color:rgba(255,255,255,0);cursor:pointer;position:absolute;}\ndiv.DescartesAppContainer{border:0 solid black;position:relative;overflow:hidden;top:0;left:0;}\ndiv.DescartesLoader{background-color:#CACACA;position:absolute;overflow:hidden;top:0;left:0;}\ndiv.DescartesLoaderImage{position:absolute;background-repeat:no-repeat;background-position:center;overflow:hidden;top:0;left:0;}\ncanvas.DescartesLoaderBar{position:absolute;overflow:hidden;top:0;left:0;}\ncanvas.DescartesSpace2DCanvas,canvas.DescartesSpace3DCanvas,div.blocker{touch-action:none;position:absolute;overflow:hidden;left:0;top:0;}\ndiv.DescartesSpace2DContainer,div.DescartesSpace3DContainer{position:absolute;overflow:hidden;line-height:0;}\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;}\ndiv.DescartesSpinnerContainer input,div.DescartesTextFieldContainer input,div.DescartesMenuContainer select{border-radius:0;}\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:0;border:solid #666 1px;position:absolute;top:0;}\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:0;top:0;}\ndiv.DescartesGraphicControl{touch-action:none;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:0;text-align:center;text-overflow:ellipsis;white-space:nowrap;overflow:hidden;background-color:white;position:absolute;left:0;top:0;}\ndiv.DescartesScrollbarContainer{touch-action:none;background:#eee;overflow:hidden;position:absolute;}";
return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.sin,d=Math.floor,f=Math.random,p=Math.round,c=Math.abs,m=String.fromCharCode,h,b,u,k,r,q,t,w,e,n;a.Krypto=function(a){this.key=(a||0).toString()};a.Krypto.prototype.getKey=function(a){h=[];for(var e=0;256>e;e++)h[e]=m(this.alfanum(d(c(7.5*(g(1*e-a)+g(1.4*e+a)+g(.6*e-a)+g(2.2*e+a))))));return h.join("")};a.Krypto.prototype.encode=function(a){b=d(31*f());this.key=this.getKey(b);return m(this.alfanum(b))+this.encripta(a)};
a.Krypto.prototype.decode=function(a){b=this.numalfa(a.charCodeAt(0));this.key=this.getKey(b);return this.desencripta(a.substring(1))};a.Krypto.prototype.encripta=function(a){return this.bytesToString(this.encriptaAux(this.stringToBytes(a)))};a.Krypto.prototype.encriptaAux=function(a){if(null==a||null==this.key)return null;q=Array(3*a.length);for(var b=0,c=a.length;b<c;b++)e=256*d(a[b]+128)+p(255*f())+65536*p(255*f()),n=d((e<<this.shift(b))/256),q[3*b]=this.alfanum(n%32),q[3*b+1]=this.alfanum(n/32%
32),q[3*b+2]=this.alfanum(n/1024%32);return q};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;t=Array(a.length/3);for(var b=0,c=t.length;b<c;b++)n=this.numalfa(a[3*b])+32*this.numalfa(a[3*b+1])+1024*this.numalfa(a[3*b+2]),e=d(256*n>>this.shift(b)),w=d(e/256)%256-128,0>w&&(w+=256),t[b]=w;return t};a.Krypto.prototype.alfanum=function(a){a=d(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){k=Array(a.length);for(var e=0,b=a.length;e<b;e++)k[e]=a.charCodeAt(e);return k};a.Krypto.prototype.bytesToString=function(a){for(var e=0,b=a.length;e<b;e++)a[e]=m(a[e]);return a.join("")};a.Krypto.prototype.shift=function(a){u=this.key.charCodeAt(a%this.key.length);k=this.numalfa(u);r=d(k/2%8);0==r&&(r=4);return r};a.Krypto.prototype.parseByte=function(a){a=parseInt(a);a=0>a?0:a;
return 255<a?255:a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.max;a.Animation=function(d,f){this.parent=d;var g=d.evaluator,c=g.parser,m=new a.Auxiliary(d),h=this;h.delay=f.delay?c.parse(f.delay):c.parse("60");h.loop=f.loop?f.loop:!1;h.auto=void 0==f.auto?!0:f.auto;h.controls=f.controls;h.init=m.splitInstructions(c,f.init);h.doExpr=m.splitInstructions(c,f.doExpr);f.whileExpr&&(h.whileExpr=c.parse(f.whileExpr));var b,u=h.doExpr.length;h.animExec=function(){for(b=
0;b<u;b++)g.eval(h.doExpr[b]);h.parent.update();h.playing&&(0<g.eval(h.whileExpr)||h.loop)?h.timer=a.setTimeout(h.animExec,g.eval(h.delay)):(h.stop(),h.pause=!1,h.parent.update())};h.playing=!1;h.auto&&h.play()};a.Animation.prototype.play=function(){this.playing?(this.pause=!0,this.stop()):(this.pause||this.reinit(),this.playing=!0,this.pause=!1,this.timer=a.setTimeout(this.animExec,g(10,this.parent.evaluator.eval(this.delay))))};a.Animation.prototype.stop=function(){this.playing=!1;a.clearTimeout(this.timer)};
a.Animation.prototype.reinit=function(){for(var a=0,f=this.init.length;a<f;a++)this.parent.evaluator.eval(this.init[a])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Action=function(a,d){this.parent=a;this.evaluator=this.parent.evaluator};a.Action.prototype.execute=function(){};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Message=function(g,d){a.Action.call(this,g,d);this.parameter=(d||"").replace(/\\n/g,"\n").replace(/&squot;/g,"'")};a.extend(a.Message,
a.Action);a.Message.prototype.execute=function(){alert(this.parameter)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Calculate=function(g,d){a.Action.call(this,g,d);var f=this.evaluator,p=f.parser;d=(d||"").replace(/&squot;/g,"'");d=d.replace(/;/g,"\\n");d=d.split("\\n")||[""];for(var c=[],m,h=0,b=d.length;h<b;h++)(m=p.parse(d[h],!0))&&c.push(m);b=c.length;this.execute=function(){for(h=0;h<b;h++)f.eval(c[h])}};a.extend(a.Calculate,a.Action);return a}(descartesJS||{}),
descartesJS=function(a){if(a.loadLib)return a;a.OpenURL=function(g,d){a.Action.call(this,g,d);this.parameter=d;this.target="_blank";var f=this.parameter.indexOf("target");-1!=f&&(this.target=this.parameter.substring(f),this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,f-1));if("javascript"==this.parameter.substring(0,10)){this.parameter=new a.SimpleText(g,this.parameter.substring(11).replace(/&squot;/g,"'"));var p=this;this.actionExec=function(){try{eval(p.parameter.toString())}catch(a){}}}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(g,d){a.Action.call(this,g,d);this.parameter=d;this.target="_blank";var f=this.parameter.indexOf("target");-1!=f&&(this.target=
this.parameter.substring(f),this.target=this.target.substring(this.target.indexOf("=")+1),this.parameter=this.parameter.substring(0,f-1));"javascript"==this.parameter.substring(0,10)?(this.parameter=this.parameter.substring(11).replace(/&squot;/g,"'"),this.actionExec=function(){eval(this.parameter)}):("http://"!=this.parameter.substring(0,7)&&(this.parameter=window.location.href.substring(0,window.location.href.lastIndexOf("/")+1)+this.parameter),this.actionExec=function(){window.open(this.parameter,
this.target,"width="+this.parent.width+",height="+this.parent.height+",left="+(window.screen.width-this.parent.width)/2+", top="+(window.screen.height-this.parent.height)/2+"location=0,menubar=0,scrollbars=0,status=0,titlebar=0,toolbar=0")})};a.extend(a.OpenScene,a.Action);a.OpenScene.prototype.execute=function(){this.actionExec()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Config=function(g,d){a.Action.call(this,g,d)};a.extend(a.Config,a.Action);a.Config.prototype.execute=
function(){this.parent.editor?this.parent.editor.show():window.open("about:blank","_blank","width=800px,height=600px,location=no,menubar=no,scrollbars=yes").document.write("<xmp style='width:100%; height:100%;'><script type='text/javascript' src='http://arquimedes.matem.unam.mx/Descartes5/lib/descartes-min.js'>\x3c/script>\n"+this.parent.applet.outerHTML.replace(/<applet/g,"<ajs").replace(/<\/applet/g,"</ajs")+"</xmp>")};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Init=
function(g,d){a.Action.call(this,g,d)};a.extend(a.Init,a.Action);a.Init.prototype.execute=function(){this.parent.init()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Clear=function(g,d){a.Action.call(this,g,d)};a.extend(a.Clear,a.Action);a.Clear.prototype.execute=function(){this.parent.clear()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Animate=function(g,d){a.Action.call(this,g,d)};a.extend(a.Animate,a.Action);a.Animate.prototype.execute=
function(){this.parent.play()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.InitAnimation=function(g,d){a.Action.call(this,g,d)};a.extend(a.InitAnimation,a.Action);a.InitAnimation.prototype.execute=function(){this.parent.reinitAnimation()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav)/gi;a.PlayAudio=function(d,f){a.Action.call(this,d,f);f&&f.match(g)?this.filenameExpr=this.evaluator.parser.parse("'"+
f.match(g)+"'"):this.filenameExpr=this.evaluator.parser.parse(f)};a.extend(a.PlayAudio,a.Action);a.PlayAudio.prototype.execute=function(){var a=this.theAudio=this.parent.getAudio(this.evaluator.eval(this.filenameExpr));a.paused?a.play():(a.pause(),a.currentTime=0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Auxiliary=function(a,d){this.parent=a;this.evaluator=this.parent.evaluator;this.expresion=this.id="";this.evaluate="onlyOnce";this.local="";for(var c in d)d.hasOwnProperty(c)&&
(this[c]=d[c])};a.Auxiliary.prototype.firstRun=function(){};a.Auxiliary.prototype.update=function(){};var g,d;a.Auxiliary.prototype.splitInstructions=function(a,p){d=[];p=p?p.split(";"):[""];for(var c=0,m=p.length;c<m;c++)(g=a.parse(p[c],!0))&&d.push(g);return d};a.Auxiliary.prototype.getPrivateVariables=function(a,p){d=[];p=p?p.split(/;|,/):[""];for(var c=0,m=p.length;c<m;c++)(g=a.parse(p[c],!0))&&d.push(g);c=0;for(m=d.length;c<m;c++)d[c]="asign"===d[c].type?d[c].childs[0].value:"identifier"===d[c].type?
d[c].value:"";return d};a.Auxiliary.prototype.parseExpressions=function(a){this.init=this.splitInstructions(a,this.init);this.privateVars=this.getPrivateVariables(a,this.local);this.doExpr=this.splitInstructions(a,this.doExpr);this.whileExpr=a.parse(this.whileExpr)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Variable=function(g,d){a.Auxiliary.call(this,g,d);var f=this.evaluator.parser;this.expresionString=this.expresion;(this.expresion=f.parse(this.expresionString))&&
f.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"),d=document.createElement("label");d.appendChild(document.createTextNode("___"+this.id+"=___"));var f=document.createElement("input");f.value=this.expresionString;f.disabled=!this.editable;a.appendChild(d);a.appendChild(f);var p=this,c=p.evaluator.parser;f.onkeydown=
function(a){13==a.keyCode&&(p.expresion=c.parse(this.value),c.setVariable(p.id,p.expresion),p.parent.update())};this.parent.editableRegion.textFields.push({container:a,type:"div"})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Constant=function(g,d){a.Auxiliary.call(this,g,d);this.expresion=this.evaluator.parser.parse(this.expresion);this.update()};a.extend(a.Constant,a.Auxiliary);a.Constant.prototype.update=function(){this.evaluator.setVariable(this.id,this.evaluator.eval(this.expresion))};
return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f;a.Vector=function(f,c){g=f.evaluator;d=g.parser;this.size=d.parse("3");a.Auxiliary.call(this,f,c);this.expresion=this.expresion.split(";");this.parseFile=d.parse(this.file);this.update()};a.extend(a.Vector,a.Auxiliary);a.Vector.prototype.update=function(){var p=this.expresion;g=this.evaluator;d=g.parser;this.oldFile=this.file;if(f=g.eval(this.parseFile))this.file=f;var c;if(this.file){c=(vectorElement=document.getElementById(this.file))&&
"descartes/vectorFile"==vectorElement.type?vectorElement.text:a.openExternalFile(this.file);if(null!=c){c=c.replace(/\r/g,"").split("\n");for(var m=[],h=0,b=c.length;h<b;h++)""!=c[h]&&m.push(c[h]);c=m}null==c||1==c.length&&""==c[0]?this.size=d.parse("0"):(p=c,this.size=null);null===this.size&&(this.size=d.parse(p.length+""))}c=[];h=0;for(b=p.length;h<b;h++)(m=d.parse(p[h],!0))&&"asign"!=m.type&&(m=d.parse(this.id+"["+h+"]="+p[h],!0)),c.push(m);p=[];p._size_=g.eval(this.size);h=0;for(b=this._size_;h<
b;h++)p.push(0);g.vectors[this.id]=p;g.setVariable(this.id+".long",p._size_);h=0;for(b=c.length;h<b;h++)g.eval(c[h])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Matrix=function(g,d){var f=g.evaluator,p=f.parser;this.rows=p.parse("3");this.columns=p.parse("3");a.Auxiliary.call(this,g,d);this.expresion=this.splitInstructions(p,this.expresion);var p=f.eval(this.rows),c=f.eval(this.columns),m=[];m.type="matrix";for(var h,b=0;b<c;b++){h=[];for(var u=0,k=p;u<k;u++)h.push(0);
m[b]=h}f.matrices[this.id]=m;this.update()};a.extend(a.Matrix,a.Auxiliary);a.Matrix.prototype.update=function(){var a=this.evaluator,d=a.eval(this.rows),f=a.eval(this.columns);a.setVariable(this.id+".filas",d);a.setVariable(this.id+".columnas",f);var p=a.matrices[this.id];p.rows=d;p.cols=f;d=0;for(f=this.expresion.length;d<f;d++)a.eval(this.expresion[d])};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Function=function(g,d){a.Auxiliary.call(this,g,d);var f=this.evaluator,
p=f.parser,c=this.id.indexOf("(");this.name=this.id.substring(0,c);this.params=this.id.substring(c+1,this.id.indexOf(")"));this.domain=this.range?p.parse(this.range):p.parse("1");this.params=""==this.params?[]:this.params.split(",");this.numberOfParams=this.params.length;this.algorithm||(this.whileExpr=this.doExpr=this.init="");this.parseExpressions(p);this.expresion=p.parse(this.expresion);var m=this;this.functionExec=function(){this.iterations=0;if(m.numberOfParams<=arguments.length){for(var c=
[],b=0,d=m.privateVars.length;b<d;b++)c.push(f.getVariable(m.privateVars[b])),f.setVariable(m.privateVars[b],0);for(var k=[],b=0,d=m.params.length;b<d;b++)k[b]=f.getVariable(m.params[b])||0,f.setVariable(m.params[b],arguments[b]);b=0;for(d=m.init.length;b<d;b++)f.eval(m.init[b]);do{b=0;for(d=m.doExpr.length;b<d;b++)f.eval(m.doExpr[b]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en la funci\u00f3n << "+m.name+" >>"),0}while(0<f.eval(m.whileExpr));
var r=f.eval(m.expresion);a.rangeOK=f.eval(m.domain);b=0;for(d=m.params.length;b<d;b++)f.setVariable(m.params[b],k[b]);b=0;for(d=m.privateVars.length;b<d;b++)f.setVariable(m.privateVars[b],c[b]);return r}return 0};f.setFunction(this.name,this.functionExec)};a.extend(a.Function,a.Auxiliary);return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Algorithm=function(g,d){a.Auxiliary.call(this,g,d);var f=this.evaluator;this.parseExpressions(f.parser);this.algorithmExec=function(){for(var a=
this.iterations=0,c=this.init.length;a<c;a++)f.eval(this.init[a]);do{a=0;for(c=this.doExpr.length;a<c;a++)f.eval(this.doExpr[a]);if(1E5<++this.iterations)return console.log("se ha excedido el l\u00edmite de 100000 repeticiones en el algoritmo << "+self.name+" >>"),0}while(0<f.eval(this.whileExpr))}};a.extend(a.Algorithm,a.Auxiliary);a.Algorithm.prototype.update=function(){this.algorithmExec();"onlyOnce"===this.evaluate&&(this.update=function(){})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
a.Event=function(g,d){a.Auxiliary.call(this,g,d);var f=this.evaluator;delete this.evaluate;this.condition=f.parser.parse(this.condition);this.lastEvaluation=!1;this.action=this.parent.lessonParser.parseAction(this);"onlyOnce"==this.execution&&(this.eventExec=function(){0<this.evaluator.eval(this.condition)&&!this.lastEvaluation&&(this.lastEvaluation=!0,this.action.execute())});"alternate"==this.execution&&(this.eventExec=function(){var a=0<this.evaluator.eval(this.condition);3==this.parent.version?
a!=this.lastEvaluation&&(this.action.execute(),this.lastEvaluation=a?!0:!1):a&&!this.lastEvaluation?(this.action.execute(),this.lastEvaluation=!0):!a&&this.lastEvaluation&&(this.lastEvaluation=!1)});"always"==this.execution&&(this.eventExec=function(){0<this.evaluator.eval(this.condition)&&this.action.execute()})};a.extend(a.Event,a.Auxiliary);a.Event.prototype.update=function(){this.eventExec()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c;a.Graphic=function(c,
h){this.parent=c;this.evaluator=c.evaluator;var b=this.evaluator.parser;this.spaceID="";this.background=!1;this.type="";this.drawif=b.parse("1");this.abs_coord=!1;this.color=new a.Color("blue");2!==this.parent.version&&(this.color=new a.Color("20303a"),this.parent.arquimedes&&(this.color=new a.Color("black")));this.trace="";this.expresion=b.parse("(0,0)");this.family="";this.family_interval=b.parse("[0,1]");this.family_steps=b.parse("8");this.editable=!1;this.font="Monospaced,PLAIN,"+(5<=this.parent.version?
"15":"12");this.fixed=!0;this.text="";this.decimals=b.parse("2");for(var d in h)h.hasOwnProperty(d)&&(this[d]=h[d]);this.space=this.getSpace();this.canvas=this.background?this.space.backCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");this.trace&&(this.traceCtx=this.space.backCtx);this.font=a.convertFont(this.font);this.fontSize=(this.fontSize=this.font.match(/([\d\.]+)px/))?parseFloat(this.fontSize[1]):10};a.Graphic.prototype.getSpace=function(){for(var a=this.parent.spaces,c,b=0,d=
a.length;b<d;b++)if(c=a[b],c.id==this.spaceID)return c;return a[0]};a.Graphic.prototype.getFamilyValues=function(){g=this.evaluator;d=g.eval(this.family_interval);this.familyInf=d[0][0];this.familySup=d[0][1];this.fSteps=Math.round(g.eval(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic.prototype.drawFamilyAux=function(a,c,b){g=this.evaluator;this.getFamilyValues();f=g.getVariable(this.family);if(0<=this.fSteps)for(var d=0,k=this.fSteps;d<=
k;d++)g.setVariable(this.family,this.familyInf+d*this.family_sep),0<g.eval(this.drawif)&&(this.update(),this.drawAux(a,c,b));g.setVariable("_Text_H_",0);g.setVariable(this.family,f)};a.Graphic.prototype.draw=function(a,c){""!=this.family?this.drawFamilyAux(this.ctx,a,c):0<this.evaluator.eval(this.drawif)&&(this.update(),this.drawAux(this.ctx,a,c))};a.Graphic.prototype.drawTrace=function(a,c){""!=this.family?this.drawFamilyAux(this.traceCtx,a,c):0<this.evaluator.eval(this.drawif)&&(this.update(),this.drawAux(this.traceCtx,
a,c))};a.Graphic.prototype.drawText=function(a,h,b,d,k,f,q,t,w,e,n){if("rtfNode"===h.type)a.fillStyle=k.getColor(),a.strokeStyle=k.getColor(),a.textBaseline="alphabetic",h.draw(a,b,d+1,w,e,q,n,k.getColor());else for("simpleText"===h.type&&(h=h.toString(w,e).split("\\n")),b+=/Arial|Times/i.test(f)?-2:0,g=this.evaluator,a.fillStyle=k.getColor(),a.font=f,a.textAlign=q,a.textBaseline=t,this.border&&(a.strokeStyle=this.border.getColor(),a.lineWidth=4),c=1.2*this.fontSize||0,k=0,f=h.length;k<f;k++)p=h[k],
this.border&&(a.lineJoin="round",a.miterLimit=2,a.strokeText(p,b,d+c*k)),a.fillText(p,b,d+c*k)};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 c="'",m=0,h=0,b=-1,g,k;m<d.length;)g=d.charAt(m),k=d.charAt(m-1),"["===g&&"\\"===k?(this.textElements.push(d.substring(h,
m-1)+"["),this.textElementsMacros.push("'"+d.substring(h,m-1)+"['"),h=m+1):"]"===g&&"\\"===k?(this.textElements.push(d.substring(h,m-1)+"]"),this.textElementsMacros.push("'"+d.substring(h,m-1)+"]'"),h=m+1):"["===g&&-1===b?(this.textElements.push(d.substring(h,m)),this.textElementsMacros.push("'"+d.substring(h,m)+"'"),h=m,b++):"["===g?b++:"]"===g&&0===b?(this.textElements.push(this.evaluator.parser.parse(d.substring(h,m+1))),this.textElementsMacros.push("["+d.substring(h,m+1)+"]"),h=m+1,b--):("]"==
d.charAt(m)&&(b=0>b?b:b-1),c+=d.charAt(m)),m++;this.textElements.push(d.substring(h,m));this.textElementsMacros.push("'"+d.substring(h,m)+"'")};var g,d;a.SimpleText.prototype.toString=function(f,p){g="";for(var c=0,m=this.textElements.length;c<m;c++)"string"===typeof this.textElements[c]?g+=this.textElements[c]:(d=this.evaluator.eval(this.textElements[c])[0][0],""!==d&&("string"===typeof d?g+=d:(d=parseFloat(d),d=p?d.toFixed(f):a.removeNeedlessDecimals(d.toFixed(f)),g+=d.toString().replace(".",this.parent.decimal_symbol))));
return g};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B,D,C,E,F,G,J,A;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();q=new a.R2;t=new a.R2;w=new a.R2;l=new a.R2;e=new a.R2;this.cInd=0};a.extend(a.Equation,a.Graphic);a.Equation.prototype.parseExpression=
function(){if("compOperator"===this.expresion.type){var e=this.expresion.childs[0],b=this.expresion.childs[1];"identifier"!=e.type||"y"!=e.value||b.contains("y")?"identifier"!=b.type||"y"!=b.value||e.contains("y")?"identifier"!=e.type||"x"!=e.value||b.contains("x")?"identifier"!=b.type||"x"!=b.value||e.contains("x")||(this.funExpr=b,this.of_y=!0,this.drawAux=this.drawAuxFun):(this.funExpr=b,this.of_y=!0,this.drawAux=this.drawAuxFun):(this.funExpr=e,this.of_y=!1,this.drawAux=this.drawAuxFun):(this.funExpr=
b,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,e,b){d=this.evaluator;this.getFamilyValues();tempParam=d.getVariable(this.family);if(0<=this.fSteps)for(var c=0,k=this.fSteps;c<=k;c++)d.setVariable(this.family,
this.familyInf+c*this.family_sep),this.update(),this.drawAux(a,e,b);d.setVariable(this.family,tempParam)};a.Equation.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.fill,this.trace)};var z,H,I,M,y,L,K;a.Equation.prototype.drawAux=function(N,T,O){if(!(0>=this.evaluator.eval(this.drawif))){d=this.evaluator;f=d.parser;p=this.space;c=d.eval(this.width);N.strokeStyle=this.color.getColor();N.lineWidth=c;m=f.getVariable("x");h=f.getVariable("y");b=p.w+24;u=p.h+24;k=b/9;3>k&&(k=3);r=u/7;
3>r&&(r=3);0==this.cInd?(g=[],this.cInd++):this.cInd=(this.cInd+1)%1E5;q.set(0,0);t.set(0,0);w.set(0,0);L=.25;K=8;this.abs_coord||(L/=p.scale,K/=p.scale);N.beginPath();for(A=parseInt(r/2);A<u;A+=r)for(J=parseInt(k/2);J<b;J+=k){if(this.abs_coord){l.set(J,A);n=this.newt.findZero(l,L);if(null==n)continue;d.setVariable("x",n.x);d.setVariable("y",n.y);e.set(n.x,n.y)}else{l.set(p.getRelativeX(J),p.getRelativeY(A));n=this.newt.findZero(l,L);if(null==n)continue;d.setVariable("x",n.x);d.setVariable("y",n.y);
e.set(p.getAbsoluteX(n.x),p.getAbsoluteY(n.y))}v=e.ix();x=e.iy();if(-12<=v&&v<b+24&&-12<=x&&x<u+24){if(g[v+12+(x+12)*p.w]===this.cInd)continue;g[v+12+(x+12)*p.w]=this.cInd}a.rangeOK&&(N.moveTo(v,x),N.lineTo(v,x));q.x=n.x;q.y=n.y;t.x=n.x;t.y=n.y;B=this.newt.getUnitNormal();if(0!=B.x||0!=B.y)for(B.rotL90(),w.x=B.x,w.y=B.y,C=D=0,E=!1;2>C;)if(E&&(w.x=-B.x,w.y=-B.y,n.x=q.x,n.y=q.y,t.x=n.x,t.y=n.y,this.abs_coord?e.set(n.x,n.y):e.set(p.getAbsoluteX(n.x),p.getAbsoluteY(n.y)),v=e.ix(),x=e.iy(),E=!1,D=0),n.x+=
K*w.x,n.y+=K*w.y,n=this.newt.findZero(n,L),null!=n){d.setVariable("x",n.x);d.setVariable("y",n.y);w.x=n.x-t.x;w.y=n.y-t.y;w.normalize();if(0==w.x&&0==w.y)break;t.x=n.x;t.y=n.y;this.abs_coord?e.set(n.x,n.y):e.set(p.getAbsoluteX(n.x),p.getAbsoluteY(n.y));F=parseInt(e.ix());G=parseInt(e.iy());if(F!=v||G!=x)if(z=v,H=x,v=F,x=G,-12<=v&&v<b+24&&-12<=x&&x<u+24){D=0;I=g[v+12+(x+12)*p.w];g[v+12+(x+12)*p.w]=this.cInd;for(T=1;8>T;T++)M=z+Math.round((v-z)*T/8),y=H+Math.round((x-H)*T/8),0<=M&&M<b&&0<=y&&y<u&&(g[M+
12+(y+12)*p.w]=this.cInd);a.rangeOK&&(N.moveTo(z,H),N.lineTo(v,x));if(I===this.cInd)break}else E=!0,C++;else 4<++D&&(E=!0,C++)}}N.stroke()}};a.Equation.prototype.X=function(a,e,b){b||(e=this.space.w/2+this.space.Ox+this.space.scale*e);e<-a&&(e=-a);e>this.space.w+a&&(e=this.space.w+a);return e};a.Equation.prototype.Y=function(a,e,b){b||(e=this.space.h/2+this.space.Oy-this.space.scale*e);e<-a&&(e=-a);e>this.space.h+a&&(e=this.space.h+a);return e};a.Equation.prototype.XX=function(a,e,b){return Math.round(this.X(a,
e,b))};a.Equation.prototype.YY=function(a,e,b){return Math.round(this.Y(a,e,b))};a.Equation.prototype.extrapolate=function(e,b,c,k,d,l){for(var h=this.evaluator.getVariable(b),q=l/2,f=0,m,r,g,n,t,w;1E-15<Math.abs(q);){m=this.evaluator.getVariable(b);r=this.evaluator.getVariable(b)+q;this.evaluator.setVariable(b,r);g=!0;try{n=d,d=this.evaluator.eval(this.funExpr),this.evaluator.setVariable(c,d),0<this.evaluator.eval(e)?(t=new a.R2(Math.min(n,d),Math.max(n,d)),w=0,w=0<l?this.Singularity(Math.abs(q),
b,k,m,n,r,d,t):this.Singularity(Math.abs(q),b,k,r,d,m,n,t),0<w&&(g=!1)):g=!1}catch(u){g=!1}g?f+=q:this.evaluator.setVariable(b,m);q/=2}this.evaluator.setVariable(b,h);return new a.R2(f/Math.abs(l),d)};a.Equation.prototype.extrapolateOnSingularity=function(e,b,c,k,d,l){k=this.evaluator.getVariable(b);for(var h=l/2,q=0,f=d,m;1E-15<Math.abs(h);){this.evaluator.setVariable(b,this.evaluator.getVariable(b)+h);m=!0;if(0<this.evaluator.eval(e))try{f=this.evaluator.eval(this.funExpr),this.evaluator.setVariable(c,
f),0>=this.evaluator.eval(e)&&(m=!1)}catch(r){m=!1}else m=!1;m?q+=h:this.evaluator.setVariable(b,this.evaluator.getVariable(b)-h);h/=2}if(0==q)for(h=l/2,q=l,f=d;1E-15<Math.abs(h);){this.evaluator.setVariable(b,this.evaluator.getVariable(b)-h);m=!0;if(0<this.evaluator.eval(e))try{f=this.evaluator.eval(this.funExpr)}catch(r){m=!1}else m=!1;m?q+=-h:this.evaluator.setVariable(b,this.evaluator.getVariable(b)+h);h/=2}this.evaluator.setVariable(b,k);return new a.R2(q/Math.abs(l),f)};a.Equation.prototype.Singularity=
function(a,e,b,c,k,d,l,h){if(isNaN(l)||isNaN(k)||isNaN(h.y)||isNaN(h.x)||c>=d)return 2;var q=this.evaluator.getVariable(e),f=0;try{if(1E-15>Math.abs(d-c)||1E-12>Math.abs(d-c)&&Math.abs(l-k)>Math.abs(a))return this.evaluator.setVariable(e,q),1;var m=(c+d)/2;this.evaluator.setVariable(e,m);var r=NaN;try{r=this.evaluator.eval(this.funExpr)}catch(g){return 2}if(isNaN(r))return 2;if(Math.abs(l-k)>a){this.evaluator.setVariable(e,c-1E-12);var n=this.evaluator.eval(this.funExpr),n=(k-n)/1E-12;this.evaluator.setVariable(e,
d+1E-12);var t=(this.evaluator.eval(this.funExpr)-l)/1E-12;if((10>Math.abs(t)||10>Math.abs(n))&&(0<=t&&0<=n||0>=t&&0>=n)&&4*Math.abs(t)<Math.abs((l-k)/(d-c)))return this.evaluator.setVariable(e,q),2}if(isNaN(h.x)||isNaN(h.y)||isNaN(r))return 2;if(!(h.x<=r&&r<=h.y)){this.evaluator.setVariable(e,m);h.x=Math.min(k,r);h.y=Math.max(k,r);var w=this.Singularity(a/2,e,b,c,k,m,r,h);this.evaluator.setVariable(e,d);h.x=Math.min(l,r);h.y=Math.max(l,r);var u=this.Singularity(a/2,e,b,m,r,d,l,h),f=Math.max(w,u)}}catch(g){f=
1}this.evaluator.setVariable(e,q);return f};a.Equation.prototype.drawAuxFun=function(e,b,c){m=this.evaluator.parser.getVariable("x");h=this.evaluator.parser.getVariable("y");a.rangeOK=1;b="x";c="y";this.of_y&&(b="y",c="x");var k=this.drawif,d=this.evaluator.eval(this.width),l=!1,q=new a.R2(this.space.w/2+this.space.Ox,this.space.h/2+this.space.Oy),q=this.of_y?q.ix():q.iy(),f=0,r=0,g=0,n=0,t=1/this.space.scale,w=t*(this.of_y?Math.ceil(-this.space.h+(this.space.h/2+this.space.Oy)):-Math.ceil(this.space.w/
2+this.space.Ox)),u=0;this.abs_coord&&(w=0,t=1);for(var p,y,x,v,z,D,B,L,A,C=this.of_y?this.space.h+4:this.space.w+4;g<=C;){p=!0;y=0;this.evaluator.setVariable(b,w);try{x=this.evaluator.eval(this.funExpr),isNaN(x)||(this.evaluator.setVariable(c,x),0<this.evaluator.eval(this.drawif)&&a.rangeOK?(l?(v=Math.min(u,x),z=Math.max(u,x),D=new a.R2(v,z),y=this.Singularity(t,b,0,w-t,u,w,x,D),0===y?(u<=x?(u=D.x,x=D.y):(x=D.x,u=D.y),B=parseInt(this.of_y?this.XX(d,u,this.abs_coord):this.YY(d,u,this.abs_coord)),
f=this.abs_coord?Math.round(x):parseInt(this.of_y?this.XX(d,x,this.abs_coord):this.YY(d,x,this.abs_coord)),this.fillM&&f>q&&(e.lineWidth=1,e.strokeStyle=this.fillM.getColor(),e.beginPath(),this.of_y?(e.moveTo(q+1,this.space.h-g+.5),e.lineTo(f,this.space.h-g+.5)):(e.moveTo(g+.5,q+1),e.lineTo(g+.5,f)),e.stroke()),this.fillP&&f<q&&(e.lineWidth=1,e.strokeStyle=this.fillP.getColor(),e.beginPath(),this.of_y?(e.moveTo(q-1,this.space.h-g+.5),e.lineTo(f,this.space.h-g+.5)):(e.moveTo(g+.5,q-1),e.lineTo(g+.5,
f)),e.stroke()),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(B+.5,this.space.h-n),e.lineTo(f+.5,this.space.h-g)):(e.moveTo(n+.5,B),e.lineTo(g+.5,f))):1===y?(this.evaluator.setVariable(b,w-t),L=this.extrapolate(k,b,c,0,u,t),f=parseInt(this.of_y?this.XX(d,L.y,this.abs_coord):this.YY(d,L.y,this.abs_coord)),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(r+.5,this.space.h-n),e.lineTo(f+.5,this.space.h-n+Math.round(L.x))):(e.moveTo(n+
.5,r),e.lineTo(n+Math.round(L.x)+.5,f)),this.evaluator.setVariable(b,w),A=this.extrapolate(k,b,c,0,x,-t),r=this.YY(d,A.y,this.abs_coord),f=this.YY(d,x,this.abs_coord),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(r+.5,this.space.h-g),e.lineTo(f+.5,this.space.h-g)):(e.moveTo(g+.5,r),e.lineTo(g+.5,f))):(f=parseInt(this.of_y?this.XX(d,x,this.abs_coord):this.YY(d,x,this.abs_coord)),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(f+
.5,this.space.h-g),e.lineTo(f+.5,this.space.h-g)):(e.moveTo(g+.5,f),e.lineTo(g+.5,f)))):(A=this.extrapolateOnSingularity(k,b,c,0,x,-t),r=this.of_y?this.XX(d,A.y,this.abs_coord):this.YY(d,A.y,this.abs_coord),f=parseInt(this.of_y?this.XX(d,x,this.abs_coord):this.YY(d,x,this.abs_coord)),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(r,this.space.h-(g+Math.round(A.x))+.5),e.lineTo(f,this.space.h-g+.5)):(e.moveTo(g+Math.round(A.x),r),e.lineTo(g,f))),e.stroke(),u=x):
p=!1)}catch(F){p=!1}l&&!p&&(this.evaluator.setVariable(b,w-t),this.evaluator.setVariable(c,u),L=this.extrapolate(k,b,c,0,u,t),f=parseInt(this.of_y?this.XX(d,L.y,this.abs_coord):this.YY(d,L.y,this.abs_coord)),e.lineWidth=d,e.strokeStyle=this.color.getColor(),e.beginPath(),this.of_y?(e.moveTo(r,this.space.h-(n+Math.round(L.x))+.5),e.lineTo(f,this.space.h-(n+Math.round(L.x))+.5)):(e.moveTo(n+Math.round(L.x)+.5,r),e.lineTo(n+Math.round(L.x)+.5,f)),e.stroke(),this.evaluator.setVariable(b,w));l=p;w+=t;
r=f;n=g++}this.evaluator.parser.setVariable("x",m);this.evaluator.parser.setVariable("y",h)};a.Equation.prototype.registerTextField=function(){var a=document.createElement("input");a.value=this.expresionString;a.disabled=!this.editable;var e=this;a.onkeydown=function(a){13==a.keyCode&&(e.expresion=e.evaluator.parser.parse(this.value),e.parseExpression(),e.parent.update())};this.parent.editableRegion.textFields.push(a)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=
Math.round,d,f,p,c,m,h,b,u,k,r,q;a.Curve=function(b,c){this.parameter="t";this.parameter_interval=b.evaluator.parser.parse("[0,1]");this.parameter_steps=b.evaluator.parser.parse("8");this.width=b.evaluator.parser.parse("1");this.fill="";a.Graphic.call(this,b,c);(this.visible=2==this.parent.version&&void 0==this.visible)&&this.registerTextField()};a.extend(a.Curve,a.Graphic);a.Curve.prototype.update=function(){d=this.evaluator;f=d.eval(this.parameter_interval);this.paraInf=f[0][0];this.paraSup=f[0][1];
this.pSteps=d.eval(this.parameter_steps);this.paraSep=0<this.pSteps?Math.abs(this.paraSup-this.paraInf)/this.pSteps:0};a.Curve.prototype.draw=function(){this.uber.draw.call(this,this.fill,this.color)};a.Curve.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.fill,this.trace)};a.Curve.prototype.drawAux=function(f,w,e){d=this.evaluator;p=this.space;c=g(d.eval(this.width));f.lineWidth=0<c?c:1E-6;f.lineCap="round";f.lineJoin="round";f.strokeStyle=e.getColor();m=d.getVariable(this.parameter);
f.beginPath();d.setVariable(this.parameter,this.paraInf);h=d.eval(this.expresion);this.exprX=g(this.abs_coord?h[0][0]:p.getAbsoluteX(h[0][0]));this.exprY=g(this.abs_coord?h[0][1]:p.getAbsoluteY(h[0][1]));this.rotateExp&&(b=a.degToRad(d.eval(this.rotateExp)),u=Math.cos(b),k=Math.sin(b),r=this.exprX*u-this.exprY*k,q=this.exprX*k+this.exprY*u,this.exprX=r,this.exprY=q);f.moveTo(this.exprX+.5,this.exprY+.5);for(e=1;e<=this.pSteps;e++)d.setVariable(this.parameter,this.paraInf+e*this.paraSep),h=d.eval(this.expresion),
this.exprX=this.abs_coord?g(h[0][0]):g(p.getAbsoluteX(h[0][0])),this.exprY=this.abs_coord?g(h[0][1]):g(p.getAbsoluteY(h[0][1])),this.rotateExp&&(r=this.exprX*u-this.exprY*k,q=this.exprX*k+this.exprY*u,this.exprX=r,this.exprY=q),f.lineTo(this.exprX+.5,this.exprY+.5);this.fill&&(f.fillStyle=w.getColor(),f.fill("evenodd"));f.stroke();d.setVariable(this.parameter,m)};a.Curve.prototype.registerTextField=function(){var a=document.createElement("input");a.value=this.expresionString;a.disabled=!this.editable;
var b=this;a.onkeydown=function(a){13==a.keyCode&&(b.expresion=b.evaluator.parser.parse(this.value),b.parent.update())};this.parent.editableRegion.textFields.push(a)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=2*Math.PI,d=Math.round,f,p,c,m,h,b,u,k,r,q,t,w,e,n;a.Sequence=function(e,b){this.size=e.evaluator.parser.parse("2");this.range=e.evaluator.parser.parse("[1, 100]");a.Graphic.call(this,e,b)};a.extend(a.Sequence,a.Graphic);a.Sequence.prototype.update=function(){f=
this.evaluator;c=f.eval(this.expresion);this.exprX=c[0][0];this.exprY=c[0][1];this.rotateExp&&(m=a.degToRad(f.eval(this.rotateExp)),h=Math.cos(m),b=Math.sin(m),u=this.exprX*h-this.exprY*b,k=this.exprX*b+this.exprY*h,this.exprX=u,this.exprY=k);t=f.eval(this.range);this.rangeInf=t[0][0];this.rangeMax=t[0][1]};a.Sequence.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Sequence.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Sequence.prototype.drawAux=
function(a,b){f=this.evaluator;p=this.space;e=w=Math.ceil(f.eval(this.size)-.4);a.fillStyle=b.getColor();a.beginPath();this.rangeInf>this.rangeMax&&(n=this.rangeInf,this.rangeInf=this.rangeMax,this.rangeMax=n);for(var k=f.getVariable("n"),h=this.rangeInf,m=this.rangeMax;h<=m;h++)f.setVariable("n",h),c=f.eval(this.expresion),this.exprX=c[0][0],this.exprY=c[0][1],r=d(this.abs_coord?this.exprX:p.getAbsoluteX(this.exprX)),q=d(this.abs_coord?this.exprY:p.getAbsoluteY(this.exprY)),a.beginPath(),a.arc(r,
q,w,0,g,!0),a.fill();a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,r+e,q-e,this.color,this.font,"start","alphabetic",f.eval(this.decimals),this.fixed,!0);f.setVariable("n",k)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=2*Math.PI,d=Math.round,f,p,c,m,h,b,u,k,r,q,t,w;a.Point=function(e,b){this.size=e.evaluator.parser.parse("2");a.Graphic.call(this,e,b)};a.extend(a.Point,a.Graphic);a.Point.prototype.update=function(){f=this.evaluator;c=f.eval(this.expresion);
this.exprX=c[0][0];this.exprY=c[0][1];this.rotateExp&&(m=a.degToRad(f.eval(this.rotateExp)),h=Math.cos(m),b=Math.sin(m),u=this.exprX*h-this.exprY*b,k=this.exprX*b+this.exprY*h,this.exprX=u,this.exprY=k)};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){f=this.evaluator;p=this.space;t=d(f.eval(this.size));w=t+1;a.fillStyle=b.getColor();
r=d(this.abs_coord?this.exprX:p.getAbsoluteX(this.exprX));q=d(this.abs_coord?this.exprY:p.getAbsoluteY(this.exprY));a.beginPath();a.arc(r,q,t,0,g,!0);a.fill();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,r+w+1,q-w,this.color,this.font,"start","alphabetic",f.eval(this.decimals),this.fixed,!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,d=2*Math.PI,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B;a.Segment=function(e,b){this.width=e.evaluator.parser.parse("1");
this.size=e.evaluator.parser.parse("2");a.Graphic.call(this,e,b)};a.extend(a.Segment,a.Graphic);a.Segment.prototype.update=function(){f=this.evaluator;c=f.eval(this.expresion);this.endPoints=[];for(var e=0,d=c.length;e<d;e++)this.endPoints[e]={x:c[e][0],y:c[e][1]};if(this.rotateExp)for(m=a.degToRad(f.eval(this.rotateExp)),h=Math.cos(m),b=Math.sin(m),e=0,d=this.endPoints.length;e<d;e++)u=this.endPoints[e].x*h-this.endPoints[e].y*b,k=this.endPoints[e].x*b+this.endPoints[e].y*h,this.endPoints[e].x=u,
this.endPoints[e].y=k};a.Segment.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Segment.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Segment.prototype.drawAux=function(a,b,c){f=this.evaluator;p=this.space;r=g(f.eval(this.width));a.lineWidth=0<r?r:1E-6;e=f.eval(this.size);0>e&&(e=0);a.fillStyle=b.getColor();a.strokeStyle=c.getColor();a.lineCap="round";q=10+a.lineWidth;n=0==a.lineWidth%2?0:.5;this.abs_coord?(l=g(this.endPoints[0].x),
v=g(this.endPoints[0].y),x=g(this.endPoints[1].x),B=g(this.endPoints[1].y)):(l=g(p.getAbsoluteX(this.endPoints[0].x)),v=g(p.getAbsoluteY(this.endPoints[0].y)),x=g(p.getAbsoluteX(this.endPoints[1].x)),B=g(p.getAbsoluteY(this.endPoints[1].y)));a.beginPath();a.moveTo(l+n,v+n);a.lineTo(x+n,B+n);a.stroke();a.beginPath();a.arc(l,v,e,0,d,!0);a.arc(x,B,e,0,d,!0);a.fill();this.text!=[""]&&(t=parseInt((l+x)/2)-3,w=parseInt((v+B)/2)+3,this.uber.drawText.call(this,a,this.text,t+q,w-q,this.color,this.font,"start",
"alphabetic",f.eval(this.decimals),this.fixed,!0))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,d=Math.round,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B;a.Arrow=function(e,b){this.width=e.evaluator.parser.parse("5");this.size=e.evaluator.parser.parse("2");this.spear=e.evaluator.parser.parse("8");this.arrow=new a.Color("ee0022");a.Graphic.call(this,e,b)};a.extend(a.Arrow,a.Graphic);a.Arrow.prototype.update=function(){f=this.evaluator;p=f.eval(this.expresion);this.endPoints=
[];for(var e=0,k=p.length;e<k;e++)this.endPoints[e]={x:p[e][0],y:p[e][1]};if(this.rotateExp)for(c=a.degToRad(f.eval(this.rotateExp)),m=Math.cos(c),h=Math.sin(c),e=0,k=this.endPoints.length;e<k;e++)b=this.endPoints[e].x*m-this.endPoints[e].y*h,u=this.endPoints[e].x*h+this.endPoints[e].y*m,this.endPoints[e].x=b,this.endPoints[e].y=u};a.Arrow.prototype.draw=function(){this.uber.draw.call(this,this.arrow,this.color)};a.Arrow.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.arrow,this.trace)};
a.Arrow.prototype.drawAux=function(b,c,h){f=this.evaluator;k=this.space;f.eval(this.size);t=f.eval(this.width);0>t&&(t=0);w=Math.ceil(t/2);e=k.scale;this.vect=new a.Vector2D(this.endPoints[1].x-this.endPoints[0].x,this.endPoints[1].y-this.endPoints[0].y);n=this.vect.vectorLength();this.angle=this.vect.angleBetweenVectors(a.Vector2D.AXIS_X);b.fillStyle=c.getColor();b.strokeStyle=h.getColor();b.lineWidth=2;this.abs_coord?(l=d(this.endPoints[0].x),v=d(this.endPoints[0].y),x=d(this.endPoints[1].x),B=
d(this.endPoints[1].y)):(l=d(k.getAbsoluteX(this.endPoints[0].x)),v=d(k.getAbsoluteY(this.endPoints[0].y)),x=d(k.getAbsoluteX(this.endPoints[1].x)),B=d(k.getAbsoluteY(this.endPoints[1].y)));c=f.eval(this.spear);0>c&&(c=0);b.save();b.translate(l,v,n);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):(n*=e,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(-w,
g(-w));b.lineTo(g(n-c-t),g(-w));b.lineTo(g(n-2*c),g(-c-w));b.lineTo(g(n),0);b.lineTo(g(n-2*c),g(c+w));b.lineTo(g(n-c-t),g(w));b.lineTo(-w,g(w));b.closePath();b.stroke();b.fill();b.restore();this.text!=[""]&&(r=parseInt((l+x)/2)-3,q=parseInt((v+B)/2)+3,this.uber.drawText.call(this,b,this.text,r,q,h,this.font,"start","alphabetic",f.eval(this.decimals),this.fixed,!0))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,d,f,p,c,m,h,b,u,k,r,q,t;a.Polygon=function(b,
e){this.width=b.evaluator.parser.parse("1");this.fill="";a.Graphic.call(this,b,e);this.endPoints=[]};a.extend(a.Polygon,a.Graphic);a.Polygon.prototype.update=function(){d=this.evaluator;p=d.eval(this.expresion);for(var k=0,e=p.length;k<e;k++)this.endPoints[k]={x:p[k][0],y:p[k][1]};if(this.rotateExp)for(c=a.degToRad(d.eval(this.rotateExp)),m=Math.cos(c),h=Math.sin(c),k=0,e=this.endPoints.length;k<e;k++)b=this.endPoints[k].x*m-this.endPoints[k].y*h,u=this.endPoints[k].x*h+this.endPoints[k].y*m,this.endPoints[k].x=
b,this.endPoints[k].y=u};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,e,b){d=this.evaluator;f=this.space;k=g(d.eval(this.width));a.lineWidth=0<k?k:1E-6;a.strokeStyle=b.getColor();a.lineCap="round";a.lineJoin="round";r=0<k?.5:0;q=g(this.abs_coord?this.endPoints[0].x:f.getAbsoluteX(this.endPoints[0].x));t=g(this.abs_coord?this.endPoints[0].y:
f.getAbsoluteY(this.endPoints[0].y));a.beginPath();a.moveTo(q+r,t+r);b=1;for(var c=this.endPoints.length;b<c;b++)q=g(this.abs_coord?this.endPoints[b].x:f.getAbsoluteX(this.endPoints[b].x)),t=g(this.abs_coord?this.endPoints[b].y:f.getAbsoluteY(this.endPoints[b].y)),a.lineTo(q+r,t+r);this.fill&&(a.fillStyle=e.getColor(),a.fill());a.stroke()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,d=Math.min,f=Math.max,p=Math.acos,c=Math.sqrt,m=Math.PI,h=m/2,b=2*m,u,
k,r,q,t,w,e,n,l,v,x,B,D,C,E,F,G,J,A,z,H;a.Arc=function(e,b){this.width=e.evaluator.parser.parse("1");this.fill="";this.center=e.evaluator.parser.parse("(0,0)");this.radius=e.evaluator.parser.parse("1");this.init="0";this.end="90";a.Graphic.call(this,e,b);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=e.evaluator.parser.parse(this.init);this.endExpr=e.evaluator.parser.parse(this.end)};
a.extend(a.Arc,a.Graphic);a.Arc.prototype.update=function(){u=this.evaluator;k=u.eval(this.center);this.exprX=k[0][0];this.exprY=k[0][1];r=0;this.rotateExp&&(r=a.degToRad(u.eval(this.rotateExp)),q=Math.cos(r),t=Math.sin(r),w=this.exprX*q-this.exprY*t,e=this.exprX*t+this.exprY*q,this.exprX=w,this.exprY=e);var g=u.eval(this.initExpr),z=u.eval(this.endExpr);/^(\(|\[)expr(\)|\])$/i.test(this.initExpr.type)&&/^(\(|\[)expr(\)|\])$/i.test(this.endExpr.type)?(n=g[0][0],l=g[0][1],v=z[0][0],x=z[0][1],this.vectors?
this.abs_coord&&(l=-l,x=-x):this.abs_coord?(n-=this.exprX,l=-l+this.exprY,v-=this.exprX,x=-x+this.exprY):(n-=this.exprX,l-=this.exprY,v-=this.exprX,x-=this.exprY),B=0==n?0>l?-h:h:p(1*n/c(n*n+l*l)),D=0==v?0>x?-h:h:p(1*v/c(v*v+x*x)),B+=r,D+=r,0<n&&0<l&&this.abs_coord&&(B=b-B),0<n&&0>l&&!this.abs_coord&&(B=b-B),0>n&&0>l&&!this.abs_coord&&(B=b-B),0>n&&0<l&&this.abs_coord&&(B=b-B),0<v&&0<x&&this.abs_coord&&(D=b-D),0<v&&0>x&&!this.abs_coord&&(D=b-D),0>v&&0>x&&!this.abs_coord&&(D=b-D),0>v&&0<x&&this.abs_coord&&
(D=b-D),this.initFlag?(C=B,B=D,D=C):(C=d(B,D),E=f(B,D),B=C,D=E,D-B>m&&this.abs_coord&&(B=E,D=C),D-B<=m&&!this.abs_coord&&(B=E,D=C)),this.iniAng=B,this.endAng=D,this.drawPoints=!0):(this.iniAng=a.degToRad(g)+r,this.endAng=a.degToRad(z)+r,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,e,b){u=this.evaluator;F=this.space;A=u.eval(this.radius);
0>A&&(A=0);H=g(u.eval(this.width));a.lineWidth=0<H?H:1E-6;a.lineCap="round";a.strokeStyle=b.getColor();this.drawAngle?(this.abs_coord?(G=g(this.exprX),J=g(this.exprY)):(G=g(F.getAbsoluteX(this.exprX)),J=g(F.getAbsoluteY(this.exprY)),A*=F.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng),this.iniAng>this.endAng&&(z=this.iniAng,this.iniAng=this.endAng,this.endAng=z)):this.drawPoints&&(this.abs_coord?(G=g(this.exprX),J=g(this.exprY)):(G=g(F.getAbsoluteX(this.exprX)),J=g(F.getAbsoluteY(this.exprY)),
A*=F.scale,this.iniAng=-this.iniAng,this.endAng=-this.endAng));this.fill&&(a.fillStyle=e.getColor(),a.beginPath(),a.moveTo(G,J),a.arc(G,J,A,this.iniAng,this.endAng,void 0),a.fill());a.beginPath();a.arc(G,J,A,this.iniAng,this.endAng,void 0);a.stroke();this.text!=[""]&&this.uber.drawText.call(this,a,this.text,G+4,J-2,this.color,this.font,"start","alphabetic",u.eval(this.decimals),this.fixed,!0)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u,k,r,q,t,w,
e,n,l,v,x;a.Text=function(e,b){this.width=e.evaluator.parser.parse("0");a.Graphic.call(this,e,b);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(){g=this.evaluator;d=g.eval(this.expresion);this.exprX=d[0][0];this.exprY=d[0][1];this.rotateExp&&(f=a.degToRad(g.eval(this.rotateExp)),p=Math.cos(f),c=Math.sin(f),m=this.exprX*p-this.exprY*c,h=this.exprX*c+
this.exprY*p,this.exprX=m,this.exprY=h)};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,e){v=this.evaluator.eval(this.decimals);"rtfNode"===this.text.type?(r=this.text,this.ascent=0):r=this.splitText(this.text.toString(v,this.fixed).split("\\n"));this.text!=[""]&&this.uber.drawText.call(this,a,r,parseInt(this.exprX)+5,parseInt(this.exprY)+this.ascent,e,this.font,
this.align,"alphabetic",v,this.fixed)};a.Text.prototype.splitText=function(a){g=this.evaluator;b=g.eval(this.width);r=[];this.ctx.font=this.font;if(20<=b&&"undefined"!=a.type){for(var e=0,c=a.length;e<c;e++)u=a[e],k=this.ctx.measureText(u).width,k>b?r=r.concat(this.splitWords(u,b)):r.push(u);q=Math.floor(1.2*this.fontSize)*r.length;g.setVariable("_Text_H_",q);return r}g.setVariable("_Text_H_",0);g.setVariable("_Text_W_",1E3);return a};a.Text.prototype.splitWords=function(a,b){t=a;w=[];e="";for(var c=
l=0,k=a.length;c<k;c++)n=t.charAt(c)," "===n&&(lastIndexOfWhite=c),e+=n,Math.round(this.ctx.measureText(e).width)>b&&(x=a.substring(l,c+1)," "!==n&&(-1===x.indexOf(" ")?(lastIndexOfWhite=c,c--):c=lastIndexOfWhite),w.push(a.substring(l,lastIndexOfWhite)),e="",l=c+1);w.push(a.substring(l));return w};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.round,d,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l;a.Image=function(e,b){this.file="";this.inirot=e.evaluator.parser.parse("0");a.Graphic.call(this,
e,b);this.img=new Image;this.scaleY=this.scaleX=1;this.update()};a.extend(a.Image,a.Graphic);a.Image.prototype.update=function(){d=this.evaluator;f=d.eval(this.expresion);this.exprX=f[0][0];this.exprY=f[0][1];this.rotateExp&&(p=a.degToRad(d.eval(this.rotateExp)),c=Math.cos(p),m=Math.sin(p),h=this.exprX*c-this.exprY*m,b=this.exprX*m+this.exprY*c,this.exprX=h,this.exprY=b);4<=f[0].length&&(this.centered=!0,this.scaleX=f[0][2],this.scaleY=f[0][3]);f[1]&&2==f[1].length&&(this.centered=!0,this.scaleX=
f[1][0],this.scaleY=f[1][1]);0==this.scaleX&&(this.scaleX=1E-5);0==this.scaleY&&(this.scaleY=1E-5);if((u=d.eval(this.file))||""==u)this.img=this.parent.getImage(u)};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){d=this.evaluator;k=this.space;this.img&&this.img.ready&&this.img.complete&&(n=this.img.width,l=this.img.height,this.img.canvas&&(n=g(n/a._ratio),l=g(l/a._ratio)),r=this.centered?
0:g(n/2),q=this.centered?0:g(l/2),t=g(this.abs_coord?this.exprX:k.getAbsoluteX(this.exprX)),w=g(this.abs_coord?this.exprY:k.getAbsoluteY(this.exprY)),e=a.degToRad(-d.eval(this.inirot)),b.save(),b.translate(t+r,w+q),b.rotate(e),this.opacity&&(b.globalAlpha=d.eval(this.opacity)),b.scale(this.scaleX,this.scaleY),b.drawImage(this.img,-n/2,-l/2,n,l),b.restore())};return a}(descartesJS||{}),descartesJS=function(a){function g(a,c,d){b=4*(c+d*a.width);return{r:a.data[b],g:a.data[b+1],b:a.data[b+2],a:a.data[b+
3]}}if(a.loadLib)return a;var d,f,p,c,m,h,b,u;a.Fill=function(b,c){a.Graphic.call(this,b,c)};a.extend(a.Fill,a.Graphic);a.Fill.prototype.update=function(){d=this.evaluator.eval(this.expresion);this.exprX=d[0][0];this.exprY=d[0][1]};a.Fill.prototype.draw=function(){this.uber.draw.call(this,this.color,this.color)};a.Fill.prototype.drawTrace=function(){this.uber.drawTrace.call(this,this.trace,this.trace)};a.Fill.prototype.drawAux=function(a,d){d.getColor();imageData=a.getImageData(0,0,this.space.w,this.space.h);
this.abs_coord?(f=parseInt(this.exprX),p=parseInt(this.exprY)):(f=parseInt(this.space.getAbsoluteX(this.exprX)),p=parseInt(this.space.getAbsoluteY(this.exprY)));if(!(0>f||0>p||f>=this.space.w||p>=this.space.h)){c=[[f,p]];h=g(imageData,f,p);for(u=0;0<c.length;){u++;m=c.pop();f=m[0];p=m[1];var q=g(imageData,f,p);if(h.r===q.r&&h.g===q.g&&h.b===q.b&&h.a===q.a){var q=imageData,t=d;b=4*(f+p*q.width);q.data[b+0]=t.r;q.data[b+1]=t.g;q.data[b+2]=t.b;q.data[b+3]=255*t.a;0<f&&c.push([f-1,p]);f<imageData.width-
1&&c.push([f+1,p]);c.push([f,p-1]);c.push([f,p+1])}if(u>=this.space.w*this.space.h)break}a.putImageData(imageData,0,0)}};return a}(descartesJS||{}),descartesJS=function(a,g){if(a.loadLib)return a;var d=new String("-_-rnd-pi-e-sqr-ra\u00edz-sqrt-exp-log-log10-abs-ent-sgn-ind-sen-sin-cos-tan-cot-sec-csc-senh-sinh-cosh-tanh-coth-sech-csch-asen-asin-acos-atan-min-max-_Num_-_Trace_-_Stop_Audios_-esCorrecto-escorrecto-_GetValues_-_GetMatrix_-_Save_-_Open_-_SaveState_-_OpenState_-_AnchoDeCadena_-_Rojo_-_Verde_-_Azul_-"),
f=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,p;a.Macro=function(c,m){this.hasExpresion=!1;this.inirot=c.evaluator.parser.parse("0");this.inipos=c.evaluator.parser.parse("(0,0)");a.Graphic.call(this,c,m);for(var h in m)"expresion"==h&&(this.hasExpresion=!0),m.hasOwnProperty(h)&&(this[h]=m[h]);this.graphics=[];h=c.lessonParser;var b=new a.Tokenizer;if(this.hasExpresion){"'"!==this.expresion.charAt(0)&&(this.expresion="'"+this.expresion+"'");this.expresion=this.evaluator.parser.parse(this.expresion);var u=
this.evaluator.eval(this.expresion),k;u&&((k=document.getElementById(u))&&"descartes/macro"==k.type?k=k.text:(k=a.openExternalFile(u))&&!k.match(/tipo_de_macro/g)&&(k=null));var r,q;if(k){q=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 u=0,t=q.length;u<t;u++)if(r=q[u].indexOf("="),-1!==r){r=h.split(q[u]);for(var w=0,e=r.length;w<e;w++)r[w]&&1<r.length&&("id"!==g[r[w][0]]&&"type"!==g[r[w][0]]||k.push(r))}for(var n,l,u=0,t=k.length;u<t;u++)for(e=(w=k[u]||[],w[0])&&"id"===w[0][0],q=0,r=w.length;q<r;q++)if(n=w[q][0].indexOf("."),-1===n||e?n=g[w[q][0]]:(n=g[w[q][0].substring(n+1)],w[q][0]=
this.name+"."+w[q][0]),!("font"===n||("fill"===n||"color"===n||"border"===n||"arrow"===n)&&"("!==w[q][1].charAt(0)||"file"===n&&w[q][1].match(f)||"id"!==n&&void 0!==g[w[q][1]]))if("text"==n)if(w[q][1].match(/\{\\rtf1/)){n=w[q][1];var p=this;l=function(a,e){for(var c=b.tokenize(e.replace(/\&squot;/g,"'")),k=0,h=c.length;k<h;k++)"identifier"!=c[k].type||d.match("-"+c[k].value+"-")||(c[k].value=p.name+"."+c[k].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+b.flatTokens(c)};n=n.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,
l);n=n.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.'\+\-]*)/gi,l);w[q][1]=n}else{l=h.parseText(w[q][1]).textElementsMacros;for(var x=0,B=l.length;x<B;x++){n=b.tokenize(l[x].replace(/\&squot;/g,"'"));for(var D=0,C=n.length;D<C;D++)"identifier"!==n[D].type||d.match("-"+n[D].value+"-")||(n[D].value=this.name+"."+n[D].value);n=b.flatTokens(n).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");l[x]=n.substring(1,n.length-1)}w[q][1]=l.join("")}else{l=w[q][1].replace(/\&squot;/g,
"'").split(";");x=0;for(B=l.length;x<B;x++){n=b.tokenize(l[x].replace(/\\n/g,";"));D=0;for(C=n.length;D<C;D++)"identifier"!==n[D].type||d.match("-"+n[D].value+"-")||(n[D].value=this.name+"."+n[D].value);l[x]=b.flatTokens(n)}w[q][1]=l.join(";")}u=0;for(t=k.length;u<t;u++)if(k[u][0]){w="";e=!1;q=0;for(r=k[u].length;q<r;q++)"type"===g[k[u][q][0]]&&(w="espacio='"+this.spaceID+"' ",e=!0),w=w+k[u][q][0]+"='"+k[u][q][1]+"' ";k[u]=w;e?this.graphics.push(h.parseGraphic(k[u],this.abs_coord,this.background,
this.inirot)):h.parseAuxiliar(k[u])}}}};a.extend(a.Macro,a.Graphic);a.Macro.prototype.update=function(){p=this.evaluator.eval(this.inipos);this.iniPosX=p[0][0];this.iniPosY=p[0][1]};a.Macro.prototype.drawAux=function(a){for(var d=0,h=this.graphics.length;d<h;d++)this.graphics[d]&&(a.save(),this.graphics[d].abs_coord?a.translate(this.iniPosX,this.iniPosY):a.translate(this.iniPosX*this.space.scale,-this.iniPosY*this.space.scale),this.graphics[d].draw(),a.restore())};return a}(descartesJS||{},babel),
descartesJS=function(a){if(a.loadLib)return a;a.Generic=function(g,d){this.width=g.evaluator.parser.parse("1");a.Graphic.call(this,g,d)};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,d,f){var p=this.evaluator.getDefinition(this.expresionString);p&&p.draw(a,d,
f,this)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.sqrt,d=Math.sin,f=Math.cos,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v;a.norm3D=function(a){return g(a.x*a.x+a.y*a.y+a.z*a.z)};a.normalize3D=function(e){p=a.norm3D(e);if(0===p)return{x:0,y:0,z:0};if(1===p)return{x:e.x,y:e.y,z:e.z};p=1/p;return{x:e.x*p,y:e.y*p,z:e.z*p}};a.dotProduct3D=function(a,e){return a.x*e.x+a.y*e.y+a.z*e.z};a.crossProduct3D=function(a,e){return{x:a.y*e.z-a.z*e.y,y:a.z*e.x-a.x*e.z,z:a.x*e.y-a.y*e.x}};
a.scalarProduct3D=function(a,e){return{x:a.x*e,y:a.y*e,z:a.z*e}};a.subtract3D=function(a,e){return{x:a.x-e.x,y:a.y-e.y,z:a.z-e.z}};a.add3D=function(a,e){return{x:a.x+e.x,y:a.y+e.y,z:a.z+e.z}};a.equals3DEpsilon=function(a,e,b){return Math.abs(a.x-e.x)<=b&&Math.abs(a.y-e.y)<=b&&Math.abs(a.z-e.z)<=b};a.Vector4D=function(a,e,b,c){this.x=a||0;this.y=e||0;this.z=b||0;this.w=c||0};a.Matrix4x4=function(a,e,b,c,k,d,h,l,f,q,m,r,g,n,t,w){this.a00=a||0;this.a01=e||0;this.a02=b||0;this.a03=c||0;this.a10=k||0;
this.a11=d||0;this.a12=h||0;this.a13=l||0;this.a20=f||0;this.a21=q||0;this.a22=m||0;this.a23=r||0;this.a30=g||0;this.a31=n||0;this.a32=t||0;this.a33=w||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(e){return new a.Vector4D(e.x*this.a00+e.y*this.a10+e.z*this.a20+e.w*this.a30,e.x*this.a01+
e.y*this.a11+e.z*this.a21+e.w*this.a31,e.x*this.a02+e.y*this.a12+e.z*this.a22+e.w*this.a32,e.x*this.a03+e.y*this.a13+e.z*this.a23+e.w*this.a33)};a.Matrix4x4.prototype.translate=function(e){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*e.x+this.a10*e.y+this.a20*e.z+this.a30,this.a01*e.x+this.a11*e.y+this.a21*e.z+this.a31,this.a02*e.x+this.a12*e.y+this.a22*e.z+this.a32,this.a03*e.x+this.a13*e.y+this.a23*e.z+
this.a33)};a.Matrix4x4.prototype.rotateX=function(b){c=d(b);m=f(b);r=this.a10;q=this.a11;t=this.a12;w=this.a13;e=this.a20;n=this.a21;l=this.a22;v=this.a23;return new a.Matrix4x4(this.a00,this.a01,this.a02,this.a03,r*m+e*c,q*m+n*c,t*m+l*c,w*m+v*c,r*-c+e*m,q*-c+n*m,t*-c+l*m,w*-c+v*m,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateY=function(q){c=d(q);m=f(q);h=this.a00;b=this.a01;u=this.a02;k=this.a03;e=this.a20;n=this.a21;l=this.a22;v=this.a23;return new a.Matrix4x4(h*m+e*-c,b*m+n*
-c,u*m+l*-c,k*m+v*-c,this.a10,this.a11,this.a12,this.a13,h*c+e*m,b*c+n*m,u*c+l*m,k*c+v*m,this.a30,this.a31,this.a32,this.a33)};a.Matrix4x4.prototype.rotateZ=function(e){c=d(e);m=f(e);h=this.a00;b=this.a01;u=this.a02;k=this.a03;r=this.a10;q=this.a11;t=this.a12;w=this.a13;return new a.Matrix4x4(h*m+r*c,b*m+q*c,u*m+t*c,k*m+w*c,h*-c+r*m,b*-c+q*m,u*-c+t*m,k*-c+w*m,this.a20,this.a21,this.a22,this.a23,this.a30,this.a31,this.a32,this.a33)};return a}(descartesJS||{}),descartesJS=function(a){function g(a){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,m),a.fill(),a.stroke())}function d(a,e){a.lineCap="round";a.lineJoin="round";a.lineWidth="#"==this.backColor.charAt(0)||"#"==this.frontColor.charAt(0)?1:.1;a.beginPath();a.moveTo(this.newV[0].x,this.newV[0].y);for(var b=1,c=this.newV.length;b<c;b++)a.lineTo(this.newV[b].x,this.newV[b].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?e.computeColor(this.backColor,this,"metal"===this.model):e.computeColor(this.frontColor,this,"metal"===this.model),a.strokeStyle=a.fillStyle,a.stroke(),a.fill()):"wire"===this.model&&(a.lineWidth=1.5,a.strokeStyle=this.frontColor,a.stroke());this.edges&&"wire"!==this.model&&(a.lineWidth=1,a.strokeStyle="#808080",a.stroke())}function f(a){q=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,q)}function p(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 c(c,e,k){h=a.subtract3D(c,e);b=a.subtract3D(c,
k);return a.normalize3D(a.crossProduct3D(h,b))}if(a.loadLib)return a;var m=2*Math.PI,h,b,u,k,r,q;a.Primitive3D=function(a,e){this.space=e;for(var b in a)a.hasOwnProperty(b)&&(this[b]=a[b]);this.newV=[];this.spaceVertices=[];"vertex"===this.type?this.draw=g:"face"===this.type?(this.normal=c(this.vertices[0],this.vertices[1],this.vertices[2]),this.draw=d):"text"===this.type?(this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?parseInt(this.fontSize[1]):10,this.draw=f):"edge"===this.type&&(this.draw=
p);this.isText&&(this.computeDepth=function(){this.newV=this.vertices;this.depth=this.vertices[0].z;this.average=this.vertices[0];this.passDraw=1})};a.Primitive3D.prototype.computeDepth=function(b){this.average={x:0,y:0,z:0};this.removeDoubles();this.normal={x:0,y:1,z:0};this.direction={x:1,y:0,z:0};for(var e=0,k=this.vertices.length;e<k;e++)this.newV[e]=b.rotateVertex(this.vertices[e]),this.spaceVertices[e]=b.rotateVertex(this.vertices[e]),this.average.x+=this.newV[e].x,this.average.y+=this.newV[e].y,
this.average.z+=this.newV[e].z;this.average=a.scalarProduct3D(this.average,1/k);this.averageP=b.project(this.average);this.depth=this.averageP.z;2<this.vertices.length&&(this.normal=c(this.newV[0],this.newV[1],this.newV[2]),this.direction=a.dotProduct3D(this.normal,a.normalize3D(b.eye)));this.passDraw=1;e=0;for(k=this.vertices.length;e<k;e++)this.newV[e]=b.project(this.newV[e]),this.passDraw=this.passDraw&&0<this.newV[e].z;b.new3D||(this.passDraw=1)};var t;a.Primitive3D.prototype.removeDoubles=function(){if("edge"!==
this.type){t=[];for(var a=0,e=this.vertices.length;a<e;a++)this.vertices[a].x===this.vertices[(a+1)%e].x&&this.vertices[a].y===this.vertices[(a+1)%e].y&&this.vertices[a].z===this.vertices[(a+1)%e].z&&this.vertices[a].w===this.vertices[(a+1)%e].w||t.push(this.vertices[a]);0===t.length&&t.push(this.vertices[0]);this.vertices=t}};a.Primitive3D.prototype.drawText=function(b,e,c,d,h,f,q,m,g,t,p){if("rtfNode"==e.type)b.fillStyle=h,b.strokeStyle=h,b.textBaseline="alphabetic",e.draw(b,c,d,g,t,q,p);else for("simpleText"===
e.type&&(e=e.toString(g,t).split("\\n")),c+=f.match("Arial")?-2:f.match("Times")?-2:0,u=this.evaluator,b.fillStyle=a.getColor(u,h),b.font=f,b.textAlign=q,b.textBaseline=m,k=1.2*this.fontSize||0,h=0,f=e.length;h<f;h++)r=e[h],this.border&&b.strokeText(r,c,d+k*h),b.fillText(r,c,d+k*h)};a.Primitive3D.prototype.splitFace=function(b){if(this.intersects(b)){for(var e=null,c=null,k=0,d=0,h=0,f=b.vertices.length;h<f;h++){var q=this.intersection(b.vertices[h],b.vertices[(h+1)%f]);if(null!==q)if(null===e){if(e=
q,k=h,2===b.vertices.length){c=e;break}}else if(!a.equals3DEpsilon(q,e,1E-8)){c=q;d=h;break}}if(null!==e&&null!==c){var h=this.isInterior(e)||this.isInterior(c),m=null,r=null;if(!h&&3<=b.vertices.length)for(var f=0,g=this.vertices.length;f<g;f++)if(q=b.intersection(this.vertices[f],this.vertices[(f+1)%g]),null!==q)if(null===m)m=q;else if(!a.equals3DEpsilon(q,m,1E-8)){r=q;break}if(h||null!==m&&null!==r&&b.isInterior(m)&&b.isInterior(r)){r=!0;g=b.vertices;m=q=null;if(2===g.length)a.equals(e,g[0],1E-8)||
a.equals(e,g[1],1E-8)?r=!1:(q=[],q[0]=g[0],q[1]=e,m=[],m[0]=e,m[1]=g[1]);else for(var q=[],m=[],t=0,h=f=0;h<g.length;h++)h<k?q[t++]=g[h]:h==k?(q[t++]=g[h],q[t++]=e,m[f++]=e):h<d?m[f++]=g[h]:h==d?(m[f++]=g[h],m[f++]=c,q[t++]=c):q[t++]=g[h];if(r)return e=[],e[0]=new a.Primitive3D({vertices:q,type:"face",frontColor:b.frontColor,backColor:b.backColor,edges:b.edges,model:b.model},this.space),e[0].normal=b.normal,e[1]=new a.Primitive3D({vertices:m,type:"face",frontColor:b.frontColor,backColor:b.backColor,
edges:b.edges,model:b.model},this.space),e[1].normal=b.normal,e}}}return[b]};a.Primitive3D.prototype.intersects=function(a){return this.intersectsPlane(a)&&a.intersectsPlane(this)};a.Primitive3D.prototype.intersectsPlane=function(b){var e=a.dotProduct3D(b.vertices[0],b.normal),c=a.dotProduct3D(this.vertices[0],b.normal);if(1E-8>Math.abs(e-c))return!0;for(var k=1,d=this.vertices.length;k<d;k++){var h=a.dotProduct3D(this.vertices[k],b.normal);if(1E-8>Math.abs(e-h)||h>e&&c<e||h<e&&c>e)return!0}return!1};
a.Primitive3D.prototype.intersection=function(b,e){if(0<this.vertices.length){var c=a.subtract3D(e,b),k=a.dotProduct3D(c,this.normal);if(0!==k&&(k=a.dotProduct3D(a.subtract3D(this.vertices[0],b),this.normal)/k,-1E-8<k&&1.00000001>k))return a.add3D(b,a.scalarProduct3D(c,k))}return null};a.Primitive3D.prototype.isInterior=function(b){if(0<this.vertices.length)for(var e=0,c=a.subtract3D(this.vertices[0],b),k=0,d=this.vertices.length;k<d;k++){var h=a.subtract3D(this.vertices[(k+1)%d],b),f=a.dotProduct3D(a.crossProduct3D(c,
h),this.normal);if(1E-8>Math.abs(f)){if(0>a.dotProduct3D(c,h))break}else{if(0>e&&0<f||0<e&&0>f)return!1;c=h;e=f}}return!0};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g={x:0,y:0,z:0},d,f,p,c,m,h,b=a.degToRad;a.Graphic3D=function(b,c){this.parent=b;this.evaluator=b.evaluator;var d=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=d.parse("1");this.abs_coord=!1;this.family="";this.family_interval=d.parse("[0,1]");this.family_steps=d.parse("8");this.font="Monospaced,PLAIN,12";this.fixed=!0;this.text="";this.decimals=d.parse("2");this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=d.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=d.parse("(0,0,0)");this.model="color";for(var h in c)c.hasOwnProperty(h)&&(this[h]=c[h]);void 0==this.expresion&&"macro"!=this.type&&
(this.expresion=d.parse("(0,0)"));this.space=this.getSpace();this.canvas=this.background?this.space.backCanvas:this.space.canvas;this.ctx=this.canvas.getContext("2d");this.font=a.convertFont(this.font);this.fontSize=(this.fontSize=this.font.match(/(\d+)px/))?parseFloat(this.fontSize[1]):10;this.inirot.match("Euler")&&(this.inirot=this.inirot.replace("Euler",""),this.inirotEuler=!0);this.endrot.match("Euler")&&(this.endrot=this.endrot.replace("Euler",""),this.endrotEuler=!0);this.inirot=d.parse(this.inirot);
this.endrot=d.parse(this.endrot);this.inirotM=new a.Matrix4x4;this.inirotM_X=new a.Matrix4x4;this.inirotM_Y=new a.Matrix4x4;this.inirotM_Z=new a.Matrix4x4;this.iniposM=new a.Matrix4x4;this.endrotM=new a.Matrix4x4;this.endrotM_X=new a.Matrix4x4;this.endrotM_Y=new a.Matrix4x4;this.endrotM_Z=new a.Matrix4x4;this.endposM=new a.Matrix4x4};a.Graphic3D.prototype.getSpace=function(){for(var a=this.parent.spaces,b,c=0,d=a.length;c<d;c++)if(b=a[c],b.id==this.spaceID)return b;return a[0]};a.Graphic3D.prototype.getFamilyValues=
function(){d=this.evaluator;f=d.eval(this.family_interval);this.familyInf=f[0][0];this.familySup=f[0][1];this.fSteps=Math.round(d.eval(this.family_steps));this.family_sep=0<this.fSteps?(this.familySup-this.familyInf)/this.fSteps:0};a.Graphic3D.prototype.buildFamilyPrimitives=function(){d=this.evaluator;this.getFamilyValues();p=d.getVariable(this.family);if(0<=this.fSteps)for(var a=0,b=this.fSteps;a<=b;a++)d.setVariable(this.family,this.familyInf+a*this.family_sep),this.familyValue=this.familyInf+
a*this.family_sep,d.eval(this.drawif)&&this.buildPrimitives();d.setVariable(this.family,p)};a.Graphic3D.prototype.update=function(){this.primitives=[];this.evaluator.eval(this.drawif)&&(this.family||this.buildPrimitives());this.family&&this.buildFamilyPrimitives()};a.Graphic3D.prototype.updateMVMatrix=function(){m=this.evaluator.eval(this.inirot);this.inirotEuler?(this.inirotM=this.inirotM.setIdentity(),this.inirotM=this.inirotM.rotateZ(b(m[0][0])),this.inirotM=this.inirotM.rotateX(b(m[0][1])),this.inirotM=
this.inirotM.rotateZ(b(m[0][2]))):(this.inirotM_X=this.inirotM_X.setIdentity().rotateX(b(m[0][0])),this.inirotM_Y=this.inirotM_Y.setIdentity().rotateY(b(m[0][1])),this.inirotM_Z=this.inirotM_Z.setIdentity().rotateZ(b(m[0][2])));m=this.evaluator.eval(this.inipos);g={x:m[0][0],y:m[0][1],z:m[0][2]};this.iniposM=this.iniposM.setIdentity().translate(g);m=this.evaluator.eval(this.endrot);this.endrotEuler?(this.endrotM=this.endrotM.setIdentity(),this.endrotM=this.endrotM.rotateZ(b(m[0][0])),this.endrotM=
this.endrotM.rotateX(b(m[0][1])),this.endrotM=this.endrotM.rotateZ(b(m[0][2]))):(this.endrotM_X=this.endrotM_X.setIdentity().rotateX(b(m[0][0])),this.endrotM_Y=this.endrotM_Y.setIdentity().rotateY(b(m[0][1])),this.endrotM_Z=this.endrotM_Z.setIdentity().rotateZ(b(m[0][2])));m=this.evaluator.eval(this.endpos);g={x:m[0][0],y:m[0][1],z:m[0][2]};this.endposM=this.endposM.setIdentity().translate(g)};a.Graphic3D.prototype.transformVertex=function(a){this.inirotEuler?c=this.inirotM.multiplyVector4(a):(c=
this.inirotM_X.multiplyVector4(a),c=this.inirotM_Y.multiplyVector4(c),c=this.inirotM_Z.multiplyVector4(c));c=this.iniposM.multiplyVector4(c);this.endrotEuler?c=this.endrotM.multiplyVector4(c):(c=this.endrotM_X.multiplyVector4(c),c=this.endrotM_Y.multiplyVector4(c),c=this.endrotM_Z.multiplyVector4(c));c=this.endposM.multiplyVector4(c);this.macroChildren&&(c=this.applyMacroTransform(c));return c};a.Graphic3D.prototype.applyMacroTransform=function(a){this.macro_inirotEuler?c=this.macro_inirotM.multiplyVector4(a):
(c=this.macro_inirotM_X.multiplyVector4(a),c=this.macro_inirotM_Y.multiplyVector4(c),c=this.macro_inirotM_Z.multiplyVector4(c));c=this.macro_iniposM.multiplyVector4(c);this.macro_endrotEuler?c=this.macro_endrotM.multiplyVector4(c):(c=this.macro_endrotM_X.multiplyVector4(c),c=this.macro_endrotM_Y.multiplyVector4(c),c=this.macro_endrotM_Z.multiplyVector4(c));return c=this.macro_endposM.multiplyVector4(c)};a.Graphic3D.prototype.parseExpression=function(){h=[];for(var a=this.expresion.replace(/\n/g," ").replace(/ ( )+/g,
" ").trim(),b=[],c=0,d,f=a.length,e=a.length-1;-1<e;e--)d=a.charAt(e),0==c?"="==d&&(c=1):1==c?" "!=d&&(c="<"==d||">"==d?0:2):2==c&&" "==d&&(b.unshift(a.substring(e+1,f)),f=e,c=0);b.unshift(a.substring(0,f));e=0;for(a=b.length;e<a;e++)h.push(this.evaluator.parser.parse(b[e],!0));return h};var u;a.Graphic3D.prototype.splitFace=function(a){for(var b=0,c=this.primitives.length;b<c;b++)if(u=[],"face"===this.primitives[b].type){for(var d=0,h=a.primitives.length;d<h;d++)"face"===a.primitives[d].type?u=u.concat(this.primitives[b].splitFace(a.primitives[d])):
u.push(a.primitives[d]);a.primitives=u}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c;a.Point3D=function(c,d){a.Graphic3D.call(this,c,d)};a.extend(a.Point3D,a.Graphic3D);a.Point3D.prototype.buildPrimitives=function(){g=this.evaluator;this.updateMVMatrix();d=g.eval(this.expresion);f=d[0][0];p=d[0][1];c=d[0][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(f,p,c,1))],type:"vertex",backColor:this.backcolor.getColor(),frontColor:this.color.getColor(),
size:g.eval(this.width)}));""!==this.text&&this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(f,p,c,1))],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:g.eval(this.decimals),fixed:this.fixed,displace:this.fontSize,evaluator:g,text:this.text,family:this.family,familyValue:this.familyValue},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h;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();h=evaluator.getVariable("u");evaluator.setVariable("u",this.Nu);expr=evaluator.eval(this.expresion);g=expr[0][0];d=expr[0][1];f=expr[0][2];p=expr[1][0];c=expr[1][1];m=expr[1][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,d,f,1)),this.transformVertex(new a.Vector4D(p,c,m,1))],type:"edge",frontColor:this.color.getColor(),
lineWidth:evaluator.eval(this.width)},this.space));evaluator.setVariable("u",h)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u,k,r,q,t,w;a.Surface3D=function(e,b){this.parameter="t";this.parameter_interval=e.evaluator.parser.parse("[0,1]");this.parameter_steps=e.evaluator.parser.parse("8");a.Graphic3D.call(this,e,b);this.expresion=this.parseExpression()};a.extend(a.Surface3D,a.Graphic3D);a.Surface3D.prototype.buildPrimitives=function(){g=this.evaluator;
this.updateMVMatrix();p=g.getVariable("x");c=g.getVariable("y");m=g.getVariable("z");d=g.getVariable("u");f=g.getVariable("v");g.setVariable("u",0);g.setVariable("v",0);h=g.eval(this.Nu);b=g.eval(this.Nv);u=[];for(r=0;r<=h;r++)for(g.setVariable("u",r/h),q=0;q<=b;q++){g.setVariable("v",q/b);t=0;for(w=this.expresion.length;t<w;t++)g.eval(this.expresion[t]);u.push(this.transformVertex(new a.Vector4D(g.getVariable("x"),g.getVariable("y"),g.getVariable("z"),1)))}for(r=0;r<h;r++)for(q=0;q<b;q++)k=[],k.push(u[q+
r*b+r]),k.push(u[q+1+r*b+r]),k.push(u[q+2+(r+1)*b+r]),k.push(u[q+1+(r+1)*b+r]),this.primitives.push(new a.Primitive3D({vertices:k,type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space));g.setVariable("x",p);g.setVariable("y",c);g.setVariable("z",m);g.setVariable("u",d);g.setVariable("v",f)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m;a.Polygon3D=function(c,b){this.width=c.evaluator.parser.parse("1");
a.Graphic3D.call(this,c,b)};a.extend(a.Polygon3D,a.Graphic3D);a.Polygon3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.eval(this.expresion);for(var h=0,b=expr.length-1;h<b;h++)g=expr[h][0],d=expr[h][1],f=expr[h][2],p=expr[h+1][0],c=expr[h+1][1],m=expr[h+1][2],this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,d,f,1)),this.transformVertex(new a.Vector4D(p,c,m,1))],type:"edge",frontColor:this.color.getColor(),
lineWidth:evaluator.eval(this.width)},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m;a.Curve3D=function(c,b){this.width=c.evaluator.parser.parse("1");a.Graphic3D.call(this,c,b);this.expresion=this.parseExpression()};a.extend(a.Curve3D,a.Graphic3D);a.Curve3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();p=evaluator.getVariable("x");c=evaluator.getVariable("y");m=evaluator.getVariable("z");f=evaluator.getVariable("u");
evaluator.setVariable("u",0);d=evaluator.eval(this.Nu);g=[];for(var h=0;h<=d;h++){evaluator.setVariable("u",h/d);for(var b=0,u=this.expresion.length;b<u;b++)evaluator.eval(this.expresion[b]);g.push(this.transformVertex(new a.Vector4D(evaluator.getVariable("x"),evaluator.getVariable("y"),evaluator.getVariable("z"),1)))}h=0;for(b=g.length-1;h<b;h++)this.primitives.push(new a.Primitive3D({vertices:[g[h],g[h+1]],type:"edge",frontColor:this.color.getColor(),lineWidth:evaluator.eval(this.width)},this.space));
evaluator.setVariable("x",p);evaluator.setVariable("y",m);evaluator.setVariable("z",c);evaluator.setVariable("u",f)};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u;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.eval(this.expresion);g=expr[0][0];d=expr[0][1];f=expr[0][2];p=expr[1][0];c=expr[1][1];m=
expr[1][2];h=expr[2][0];b=expr[2][1];u=expr[2][2];this.primitives.push(new a.Primitive3D({vertices:[this.transformVertex(new a.Vector4D(g,d,f,1)),this.transformVertex(new a.Vector4D(h,b,u,1)),this.transformVertex(new a.Vector4D(p,c,m,1))],type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.Face3D=function(d,f){a.Graphic3D.call(this,d,f)};a.extend(a.Face3D,
a.Graphic3D);a.Face3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();expr=evaluator.eval(this.expresion);g=[];for(var d=expr.length-1;0<=d;d--)g.push(this.transformVertex(new a.Vector4D(expr[d][0],expr[d][1],expr[d][2],1)));this.primitives.push(new a.Primitive3D({vertices:g,type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g,d,f,p,c;a.Polireg3D=function(c,d){this.width=c.evaluator.parser.parse("2");this.length=c.evaluator.parser.parse("2");a.Graphic3D.call(this,c,d)};a.extend(a.Polireg3D,a.Graphic3D);a.Polireg3D.prototype.buildPrimitives=function(){evaluator=this.evaluator;this.updateMVMatrix();g=evaluator.eval(this.Nu);d=[this.transformVertex(new a.Vector4D(0,0,0,1))];f=evaluator.eval(this.width)/2;p=evaluator.eval(this.length)/2;c=2*Math.PI/g;for(var m=0;m<g;m++)d.push(this.transformVertex(new a.Vector4D(f*Math.cos(c*
m),p*Math.sin(c*m),0,1)));for(m=0;m<g;m++)this.primitives.push(new a.Primitive3D({vertices:[d[0],m+2<=g?d[m+2]:d[1],d[m+1]],type:"face",frontColor:this.color.getColor(),backColor:this.backcolor.getColor(),edges:this.edges,model:this.model},this.space))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p;a.Text3D=function(c,d){a.Graphic3D.call(this,c,d)};a.extend(a.Text3D,a.Graphic3D);a.Text3D.prototype.buildPrimitives=function(){g=this.evaluator;d=g.eval(this.expresion);
f=d[0][0];p=d[0][1];this.primitives.push(new a.Primitive3D({vertices:[new a.Vector4D(f,p,0,1)],type:"text",frontColor:this.color.getColor(),font:this.font,decimals:g.eval(this.decimals),fixed:this.fixed,displace:0,isText:!0,evaluator:g,text:this.text,family:this.family,familyValue:this.familyValue,joel:"hola"},this.space))};return a}(descartesJS||{}),descartesJS=function(a,g){if(a.loadLib)return a;var d=new String("-rnd-pi-e-sqr-sqrt-ra\u00edz-exp-log-log10-abs-ent-sgn-ind-sin-sen-cos-tan-cot-sec-csc-sinh-senh-cosh-tanh-coth-sech-csch-asin-asen-acos-atan-min-max-"),
f=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,p,c;a.Macro3D=function(c,h){this.expresion=void 0;this.inirot="(0,0,0)";this.inirotEuler=!1;this.inipos=c.evaluator.parser.parse("(0,0,0)");this.endrot="(0,0,0)";this.endrotEuler=!1;this.endpos=c.evaluator.parser.parse("(0,0,0)");a.Graphic.call(this,c,h);for(var b in h)h.hasOwnProperty(b)&&(this[b]=h[b]);this.inirot.match("Euler")&&(this.inirot=this.inirot.replace("Euler",""),this.inirotEuler=!0);this.endrot.match("Euler")&&(this.endrot=this.endrot.replace("Euler",
""),this.endrotEuler=!0);this.inirot=this.evaluator.parser.parse(this.inirot);this.endrot=this.evaluator.parser.parse(this.endrot);this.inirotM=new a.Matrix4x4;this.inirotM_X=new a.Matrix4x4;this.inirotM_Y=new a.Matrix4x4;this.inirotM_Z=new a.Matrix4x4;this.iniposM=new a.Matrix4x4;this.endrotM=new a.Matrix4x4;this.endrotM_X=new a.Matrix4x4;this.endrotM_Y=new a.Matrix4x4;this.endrotM_Z=new a.Matrix4x4;this.endposM=new a.Matrix4x4;this.graphics=[];b=c.lessonParser;var u=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 k=this.evaluator.eval(this.expresion),r;k&&((r=document.getElementById(k))&&"descartes/macro"==r.type?r=r.text:(r=a.openExternalFile(k))&&!r.match(/tipo_de_macro/g)&&(r=null));var q,t;if(r){t=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 k=0,p=t.length;k<p;k++)q=t[k].indexOf("="),-1!==q&&(q=t[k].substring(0,q),"id"!==g[q]&&"type"!==g[q]||r.push(b.split(t[k])));for(var e,n,l,v,k=0,p=r.length;k<p;k++)for(v=(e=r[k]||[],e[0])&&"id"===e[0][0],t=0,q=e.length;t<q;t++)if(n=
e[t][0].indexOf("."),-1===n||v?n=g[e[t][0]]:(n=g[e[t][0].substring(n+1)],e[t][0]=this.name+"."+e[t][0]),!("font"===n||("fill"===n||"color"===n||"backcolor"===n||"arrow"===n)&&"("!==e[t][1].charAt(0)||"file"===n&&e[t][1].match(f)||"id"!==n&&void 0!==g[e[t][1]])||"width"===n||"height"===n||"length"===n)if("text"==n)if(e[t][1].match(/\{\\rtf1/)){n=e[t][1];var x=this;l=function(a,e){for(var b=u.tokenize(e.replace(/\&squot;/g,"'")),c=0,k=b.length;c<k;c++)"identifier"!=b[c].type||d.match("-"+b[c].value+
"-")||(b[c].value=x.name+"."+b[c].value);return(a.match(/^\\expr/)?"\\expr ":"\\decimals ")+u.flatTokens(b)};n=n.replace(/\\expr ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,l);n=n.replace(/\\decimals ([a-zA-Z_0-9\u00C0-\u021B+*/%|&^#!?:()><.']*)/gi,l);e[t][1]=n}else{l=b.parseText(e[t][1]).textElementsMacro3Ds;for(var B=0,D=l.length;B<D;B++){n=u.tokenize(l[B].replace(/\&squot;/g,"'"));for(var C=0,E=n.length;C<E;C++)"identifier"!==n[C].type||d.match("-"+n[C].value+"-")||(n[C].value=this.name+"."+
n[C].value);n=u.flatTokens(n).replace(/&squot;/g,"'").replace(/'\+\(/g,"[").replace(/\)\+'/g,"]");l[B]=n.substring(1,n.length-1)}e[t][1]=l.join("")}else{n=u.tokenize(e[t][1]);l=0;for(B=n.length;l<B;l++)"identifier"!==n[l].type||d.match("-"+n[l].value+"-")||(n[l].value=this.name+"."+n[l].value);e[t][1]=u.flatTokens(n)}k=0;for(p=r.length;k<p;k++)if(r[k][0]){e="";v=!1;t=0;for(q=r[k].length;t<q;t++)"type"===g[r[k][t][0]]&&(e="espacio='"+this.spaceID+"' ",v=!0),e=e+r[k][t][0]+"='"+r[k][t][1]+"' ";r[k]=
e;v?this.graphics.push(b.parse3DGraphic(r[k],this.abs_coord,this.background,this.inirot)):b.parseAuxiliar(r[k])}}k=0;for(p=this.graphics.length;k<p;k++)this.graphics[k].macroChildren=!0}};a.extend(a.Macro3D,a.Graphic);a.Macro3D.prototype.update=function(){this.updateTransformation();if(this.inipos){var a=this.evaluator.eval(this.inipos);this.iniPosX=a[0][0];this.iniPosY=a[0][1]}this.primitives=[];for(var a=0,d=this.graphics.length;a<d;a++)p=this.graphics[a],p.macro_inirotEuler=this.inirotEuler,p.macro_inirotM=
this.inirotM,p.macro_inirotM_X=this.inirotM_X,p.macro_inirotM_Y=this.inirotM_Y,p.macro_inirotM_Z=this.inirotM_Z,p.macro_iniposM=this.iniposM,p.macro_endrotEuler=this.endrotEuler,p.macro_endrotM=this.endrotM,p.macro_endrotM_X=this.endrotM_X,p.macro_endrotM_Y=this.endrotM_Y,p.macro_endrotM_Z=this.endrotM_Z,p.macro_endposM=this.endposM,p.update();a=0;for(d=this.graphics.length;a<d;a++){p=this.graphics[a];if(p.split||this.split)for(var b=a+1;b<d;b++)c=this.graphics[b],(c.split||this.split)&&p.splitFace(c);
this.primitives=this.primitives.concat(p.primitives||[])}};a.Macro3D.prototype.updateTransformation=function(){tmpExpr=this.evaluator.eval(this.inirot);this.inirotEuler?(this.inirotM=this.inirotM.setIdentity(),this.inirotM=this.inirotM.rotateZ(a.degToRad(tmpExpr[0][0])),this.inirotM=this.inirotM.rotateX(a.degToRad(tmpExpr[0][1])),this.inirotM=this.inirotM.rotateZ(a.degToRad(tmpExpr[0][2]))):(this.inirotM_X=this.inirotM_X.setIdentity().rotateX(a.degToRad(tmpExpr[0][0])),this.inirotM_Y=this.inirotM_Y.setIdentity().rotateY(a.degToRad(tmpExpr[0][1])),
this.inirotM_Z=this.inirotM_Z.setIdentity().rotateZ(a.degToRad(tmpExpr[0][2])));tmpExpr=this.evaluator.eval(this.inipos);translate={x:tmpExpr[0][0],y:tmpExpr[0][1],z:tmpExpr[0][2]};this.iniposM=this.iniposM.setIdentity().translate(translate);tmpExpr=this.evaluator.eval(this.endrot);this.endrotEuler?(this.endrotM=this.endrotM.setIdentity(),this.endrotM=this.endrotM.rotateZ(a.degToRad(tmpExpr[0][0])),this.endrotM=this.endrotM.rotateX(a.degToRad(tmpExpr[0][1])),this.endrotM=this.endrotM.rotateZ(a.degToRad(tmpExpr[0][2]))):
(this.endrotM_X=this.endrotM_X.setIdentity().rotateX(a.degToRad(tmpExpr[0][0])),this.endrotM_Y=this.endrotM_Y.setIdentity().rotateY(a.degToRad(tmpExpr[0][1])),this.endrotM_Z=this.endrotM_Z.setIdentity().rotateZ(a.degToRad(tmpExpr[0][2])));tmpExpr=this.evaluator.eval(this.endpos);translate={x:tmpExpr[0][0],y:tmpExpr[0][1],z:tmpExpr[0][2]};this.endposM=this.endposM.setIdentity().translate(translate)};a.Macro3D.prototype.drawAux=function(a){};return a}(descartesJS||{},babel),descartesJS=function(a){function g(a,
e,b,c,k){d.call(this,a/1.8,a/1.8,a/1.8,c,k)}function d(a,b,c,d,k){a/=2;b/=2;c/=2;this.changeGeometry(a,b,c,d,k)||(this.vertices=[new e(a,c,b,1),new e(a,-c,b,1),new e(a,c,-b,1),new e(a,-c,-b,1),new e(-a,c,b,1),new e(-a,-c,b,1),new e(-a,c,-b,1),new e(-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,d,k))}function f(a,b,c,d,k){a/=2;this.changeGeometry(a,b,c,d,k)||(this.vertices=[new e(0,0,a,1),new e(-.49*a,-.86*a,-.32*a,1),new e(-.49*a,.86*
a,-.32*a,1),new e(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,d,k))}function p(a,b,c,d,k){a/=2;this.changeGeometry(a,b,c,d,k)||(this.vertices=[new e(0,0,a,1),new e(a,0,0,1),new e(-a,0,0,1),new e(0,a,0,1),new e(0,-a,0,1),new e(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,d,k))}function c(b,c,d,k,h){b/=3.4;if(!this.changeGeometry(b,c,d,k,h)){E=b/1.6180339887;F=1.6180339887*b;this.vertices=[new e(b,
b,b,1),new e(b,b,-b,1),new e(b,-b,b,1),new e(b,-b,-b,1),new e(-b,b,b,1),new e(-b,b,-b,1),new e(-b,-b,b,1),new e(-b,-b,-b,1),new e(0,E,F,1),new e(0,E,-F,1),new e(0,-E,F,1),new e(0,-E,-F,1),new e(E,F,0,1),new e(E,-F,0,1),new e(-E,F,0,1),new e(-E,-F,0,1),new e(F,0,E,1),new e(F,0,-E,1),new e(-F,0,E,1),new e(-F,0,-E,1)];G=(new a.Matrix4x4).setIdentity().rotateY(-t/6);z=0;for(H=this.vertices.length;z<H;z++)this.vertices[z]=G.multiplyVector4(this.vertices[z]);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,d,k,h)}}function m(b,c,d,k,h){b/=4;if(!this.changeGeometry(b,c,d,k,h)){F=1.6180339887*b;this.vertices=[new e(0,b,F,1),new e(0,b,-F,1),new e(0,-b,F,1),new e(0,-b,-F,1),new e(b,F,0,1),new e(b,-F,0,1),new e(-b,F,0,1),new e(-b,-F,0,1),new e(F,0,b,1),new e(F,0,-b,1),new e(-F,0,b,1),new e(-F,0,-b,1)];this.faces=[[10,0,2],[0,8,2],[8,5,2],[5,
7,2],[7,10,2],[6,0,10],[11,6,10],[7,11,10],[7,3,11],[5,3,7],[9,3,5],[8,9,5],[4,9,8],[0,4,8],[6,4,0],[11,3,1],[6,11,1],[4,6,1],[9,4,1],[3,9,1]];G=(new a.Matrix4x4).setIdentity().rotateY(-1.029);z=0;for(H=this.vertices.length;z<H;z++)this.vertices[z]=G.multiplyVector4(this.vertices[z]);this.updateValues(b,c,d,k,h)}}function h(a,b,c,d,k){a/=2;this.isSphere?c=b=a:(b/=2,c/=2);if(!this.changeGeometry(a,b,c,d,k)){this.vertices=[new e(0,0,b,1)];for(z=1;z<d;z++)for(C=z*t/d,I=0;I<k;I++)D=I*w/k,v=a*r(C)*q(D),
x=c*r(C)*r(D),B=b*q(C),this.vertices.push(new e(v,x,B,1));this.vertices.push(new e(0,0,-b,1));this.faces=[];for(z=0;z<k;z++)this.faces.push([0,(z+1)%k+1,z%k+1]);for(z=1;z<d-1;z++)for(I=0;I<k;I++)this.faces.push([I+1+(z-1)*k,(I+1)%k+1+(z-1)*k,(I+1)%k+1+z*k,I+1+z*k]);for(z=0;z<k;z++)this.faces.push([this.vertices.length-1,this.vertices.length-1-k+z,this.vertices.length-1-k+(z+1)%k]);this.updateValues(a,b,c,d,k)}}function b(a,b,c,d,k){a/=2;b/=2;c/=2;if(!this.changeGeometry(a,b,c,d,k)){this.vertices=
[];for(z=0;z<k;z++)for(I=0;I<d;I++)v=a*(k-z)/k*q(I*w/d),x=c*(k-z)/k*r(I*w/d),B=b-2*z*b/k,this.vertices.push(new e(v,x,B,1));this.vertices.push(new e(0,0,-b,1));this.faces=[];for(z=0;z<k-1;z++)for(I=0;I<d;I++)this.faces.push([I+z*d,(I+1)%d+z*d,(I+1)%d+(z+1)*d,I+(z+1)*d]);for(z=0;z<d;z++)this.faces.push([this.vertices.length-1,this.vertices.length-1-d+z,this.vertices.length-1-d+(z+1)%d]);this.updateValues(a,b,c,d,k)}}function u(a,b,c,d,k){a/=2;b/=2;c/=2;if(!this.changeGeometry(a,b,c,d,k)){this.vertices=
[];for(z=0;z<k+1;z++)for(I=0;I<d;I++)v=a*q(I*w/d),x=c*r(I*w/d),B=b-2*z*b/k,this.vertices.push(new e(v,x,B,1));this.faces=[];for(z=0;z<k;z++)for(I=0;I<d;I++)this.faces.push([I+z*d,(I+1)%d+z*d,(I+1)%d+(z+1)*d,I+(z+1)*d]);this.updateValues(a,b,c,d,k)}}function k(){function a(b){return parseInt(b)}function b(a){return parseFloat(a)}this.vertices=[];this.faces=[];z=0;for(H=this.fileData.length;z<H;z++)J=this.fileData[z],J.match(/^V\(/)?(A=J.substring(2,J.length-1).split(",").map(b),this.vertices.push(new e(A[0]||
0,A[1]||0,A[2]||0,1))):J.match(/^F\(/)&&(A=J.substring(2,J.length-1).split(",").map(a),this.faces.push(A.reverse()))}if(a.loadLib)return a;var r=Math.sin,q=Math.cos,t=Math.PI,w=2*t,e,n,l,v,x,B,D,C,E,F,G,J,A,z,H,I,M;a.OtherGeometry=function(q,l){this.width=q.evaluator.parser.parse("2");this.height=q.evaluator.parser.parse("2");this.length=q.evaluator.parser.parse("2");e=a.Vector4D;a.Graphic3D.call(this,q,l);switch(this.type){case "cube":this.buildGeometry=g;break;case "box":this.buildGeometry=d;break;
case "tetrahedron":this.buildGeometry=f;break;case "octahedron":this.buildGeometry=p;break;case "sphere":this.isSphere=!0;case "ellipsoid":this.buildGeometry=h;break;case "dodecahedron":this.buildGeometry=c;break;case "icosahedron":this.buildGeometry=m;break;case "cone":this.buildGeometry=b;break;case "cylinder":this.buildGeometry=u;break;case "mesh":this.fileData=a.openExternalFile(this.evaluator.eval(this.file)).split(/\r/),this.buildGeometry=k}};a.extend(a.OtherGeometry,a.Graphic3D);a.OtherGeometry.prototype.buildPrimitives=
function(){n=this.evaluator;this.updateMVMatrix();this.buildGeometry(n.eval(this.width),n.eval(this.height),n.eval(this.length),n.eval(this.Nu),n.eval(this.Nv));z=0;for(H=this.faces.length;z<H;z++){l=[];I=0;for(M=this.faces[z].length;I<M;I++)l.push(this.transformVertex(this.vertices[this.faces[z][I]]));this.primitives.push(new a.Primitive3D({vertices:l,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,e,c,d){return this.oldWidth===a&&this.oldHeight===b&&this.oldLength===e&&this.oldNu===c&&this.oldNv===d};a.OtherGeometry.prototype.updateValues=function(a,b,e,c,d){this.oldWidth=a;this.oldHeight=b;this.oldLength=e;this.oldNv=d;this.oldNu=c};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.max,d=Math.min,f=Math.PI,p=Math.cos,c=Math.sin,m=Math.abs,h=Math.round,b,u,k,r,q,t,w,e,n,l,v,x,B,D,C,E,F,G;a.R2=function(a,b){this.x=a||0;this.y=b||0};a.R2.prototype.set=
function(a,b){this.x=a||0;this.y=b||0;return this};a.R2.prototype.copy=function(){return new a.R2(this.x,this.y)};a.R2.prototype.ix=function(){return h(g(d(this.x,32E3),-32E3))};a.R2.prototype.iy=function(){return h(g(d(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){u=this.copy();u.sub(a);return u.norm()};
a.R2.prototype.dot=function(a){return this.x*a.x+this.y*a.y};a.R2.prototype.det=function(a){return this.x*a.y-this.y*a.x};a.R2.prototype.mul=function(a){this.x*=a;this.y*=a};a.R2.prototype.div=function(a){this.x/=a;this.y/=a};a.R2.prototype.add=function(a){this.x+=a.x;this.y+=a.y};a.R2.prototype.sub=function(a){this.x-=a.x;this.y-=a.y};a.R2.prototype.normalize=function(){b=this.norm();0!=b&&this.div(b)};a.R2.prototype.rotR90=function(){b=this.x;this.x=this.y;this.y=-b};a.R2.prototype.rotL90=function(){b=
this.x;this.x=-this.y;this.y=b};a.R2.prototype.rot=function(a){k=this.copy();t=p(a);w=c(a);this.x=k.x*t-k.y*w;this.y=k.x*w+k.y*t};a.R2.prototype.rot=function(a){this.rot(a*f/180)};a.R2.prototype.intersection=function(b,c,k,h){e=c.x-b.x;n=k.x-h.x;l=k.x-b.x;v=c.y-b.y;x=k.y-h.y;B=k.y-b.y;G=e*x-n*v;return 1E-6<m(G)?(r=(l*x-B*n)/G,q=(-l*v+B*e)/G,0<=r&&1>=r&&0<=q&&1>=q?new a.R2(b.x+e*r,b.y+v*r):null):(c.x-k.x)*B!=(c.y-k.y)*l?null:b.x!=c.x?(D=d(b.x,c.x),C=g(b.x,c.x),D<=k.x&&k.x<=C?k:D<=h.x&&h.x<=C?h:null):
k.x!=h.x?(E=d(k.x,h.x),F=g(k.x,h.x),E<=b.x&&b.x<=F?b:E<=c.x&&c.x<=F?c:null):b.y!=c.y?(D=d(b.y,c.y),C=g(b.y,c.y),D<=k.y&&k.y<=C?k:D<=h.y&&h.y<=C?h:null):k.y!=h.y?(E=d(k.y,h.y),F=g(k.y,h.y),E<=b.y&&b.y<=F?b:E<=c.y&&c.y<=F?c:null):b.x==k.x&&b.y==k.y?b:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u;a.R2Newton=function(b,d){this.evaluator=b;this.constraint=d;if("=="==this.constraint.value||"<"==this.constraint.value||"<="==this.constraint.value||">"==
this.constraint.value||">="==this.constraint.value)this.sign="<"==this.constraint.value||"<="==this.constraint.value?"menor":">"==this.constraint.value||">="==this.constraint.value?"mayor":"igual",this.constraint=this.constraint.equalToMinus(),this.constraint=this.constraint.childs[0];m=new a.R2(0,0);c=new a.R2(0,0);u=new a.R2(0,0)};a.R2Newton.prototype.getUnitNormal=function(){this.normal.normalize();return u.set(this.normal.x,this.normal.y)};a.R2Newton.prototype.gradient=function(a){g=this.evaluator;
m.x=0;m.y=0;h=g.getVariable("x");b=g.getVariable("y");g.setVariable("x",a.x);g.setVariable("y",a.y);this.f0=g.eval(this.constraint);g.setVariable("x",g.getVariable("x")+1E-6);d=g.eval(this.constraint);m.x=(d-this.f0)/1E-6;m.x=isNaN(m.x)?Infinity:m.x;g.setVariable("x",g.getVariable("x")-1E-6);g.setVariable("y",g.getVariable("y")+1E-6);d=g.eval(this.constraint);m.y=(d-this.f0)/1E-6;m.y=isNaN(m.y)?Infinity:m.y;g.setVariable("x",h);g.setVariable("y",b);return m};a.R2Newton.prototype.findZero=function(a,
d,q){g=this.evaluator;c.x=a.x;c.y=a.y;h=g.getVariable("x");b=g.getVariable("y");g.setVariable("x",a.x);g.setVariable("y",a.y);this.f0=g.eval(this.constraint);if("menor"===this.sign&&0>=this.f0||"mayor"===this.sign&&0<=this.f0)return c;g.setVariable("x",h);g.setVariable("y",b);for(var m=0;16>m;m++)if(f=c.x,p=c.y,this.normal=this.gradient(c),0!=this.normal.norm2()&&this.normal.mul(-this.f0/this.normal.norm2()),c.x=f+this.normal.x,c.y=p+this.normal.y,this.normal.norm()<d)return 0===this.normal.x&&0===
this.normal.y&&(this.normal.x=c.x-a.x,this.normal.y=c.y-a.y),c;return q?c:null};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;a.Vector2D=function(a,d){this.x=a;this.y=d};a.Vector2D.AXIS_X=new a.Vector2D(1,0);a.Vector2D.AXIS_Y=new a.Vector2D(0,1);a.Vector2D.prototype.vectorLength=function(){return Math.sqrt(this.x*this.x+this.y*this.y)};a.Vector2D.prototype.dotProduct=function(a){return this.x*a.x+this.y*a.y};a.Vector2D.prototype.angleBetweenVectors=function(a){return Math.acos(this.dotProduct(a)/
(this.vectorLength()*a.vectorLength()))};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,d=Math.round,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B,D,C;a.Control=function(b,e){this.parent=b;this.evaluator=b.evaluator;var c=this.parser=b.evaluator.parser;this.id="graphic"!==e.type?"C":"G";this.gui=this.type="";this.region="south";this.y=this.x=0;this.w="video"!==e.type?100:350;this.h="video"!==e.type?23:120;"graphic"!==e.type&&"audio"!==e.type&&"video"!==e.type?"text"!==
e.type?this.expresion=c.parse("(0,0,100,23)"):(this.expresion=c.parse("(0,0,300,200)"),this.w=300,this.h=200):this.expresion=c.parse("(0,0)");this.fixed=2!=this.parent.version?!1:!0;this.visible=!0;this.color=new a.Color(4>this.parent.version?"000000":"222222");this.colorInt=new a.Color("graphic"!==e.type?"f0f8ff":"cc0022");this.underlined=this.italics=this.bold="";this.font_size=4>this.parent.version?-1:c.parse("12");this.parameter=this.action="";this.parameterFont="Monospace 12px";this.drawif=c.parse("1");
this.activeif=c.parse("1");this.tooltip="";this.tooltipFont="Monospace 12px";this.Explanation="";this.ExplanationFont="Monospace 12px";this.cID=this.msg_pos="";this.valueExpr=c.parse("0");this.decimals=c.parse("2");this.min=c.parse("-Infinity");this.max=c.parse("Infinity");this.incr=c.parse("0.1");this.exponentialif=this.discrete=!1;this.zIndex=-1;for(var k in e)e.hasOwnProperty(k)&&(this[k]=e[k]);"video"!==this.type&&"audio"!==this.type||"interior"===this.region||(this.region="interior");void 0==
this.name&&(this.name=2==this.parent.version?this.id:"_nada_");this.name="_._"==this.name||"_nada_"==this.name||"_void_"==this.name?"":this.name;c=this.evaluator.eval(this.expresion);this.x=d(c[0][0]);this.y=d(c[0][1]);4==c[0].length&&(this.w=d(c[0][2]),this.h=d(c[0][3]));this.actionExec=b.lessonParser.parseAction(this)};a.Control.prototype.init=function(){};a.Control.prototype.update=function(){};a.Control.prototype.draw=function(){};a.Control.prototype.getContainer=function(){var a=this.parent.spaces,
b;if("interior"===this.region)for(var e=0,c=a.length;e<c;e++){if(b=a[e],b.id===this.spaceID)return b.addCtr(this),this.zIndex=b.zIndex,b.numericalControlContainer}else{if("external"===this.region)return this.parent.externalSpace.addCtr(this),this.parent.externalSpace.container;if("scenario"===this.region)return this.cID?(this.expresion=this.evaluator.parser.parse("(0,-1000,"+this.w+","+this.h+")"),this.parent.stage.stageSpace.addCtr(this),this.zIndex=this.parent.stage.stageSpace.zIndex,this.parent.stage.stageSpace.numericalControlContainer):
this.parent.externalSpace.container;if(/north|south|east|west/.test(this.region))return this.parent[this.region+"Space"].controls.push(this),this.parent[this.region+"Space"].container}a[0].addCtr(this);this.zIndex=a[0].zIndex;return a[0].numericalControlContainer};a.Control.prototype.addControlContainer=function(a){var b=this.getContainer();b.childNodes[0]?b.insertBefore(a,b.childNodes[0]):b.appendChild(a)};a.Control.prototype.updatePositionAndSize=function(){c=m=h=b=!1;u=this.evaluator.eval(this.expresion);
k=d(u[0][0]);c=d(this.x)!==k;this.x=k;k=d(u[0][1]);m=d(this.y)!==k;this.y=k;4===u[0].length&&(k=d(u[0][2]),h=d(this.w)!==k,this.w=k,k=d(u[0][3]),b=d(this.h)!==k,this.h=k);if(h||b||c||m)this.init(!0),this.draw()};a.Control.prototype.formatOutputValue=function(a){e=this.parent;r=a+"";q=this.evaluator.eval(this.decimals);t=r.indexOf(".");-1!=t&&(w=r.substring(t+1),w.length>q&&(r=parseFloat(r).toFixed(q)));this.fixed&&(2!==e.version||2===e.version&&!this.exponentialif)&&(r=parseFloat(a).toFixed(q));this.exponentialif&&
0!=parseFloat(r)&&(r=this.fixed&&2!==e.version?parseFloat(r).toExponential(q):parseFloat(r).toExponential(),r=r.toUpperCase().replace("+",""));return r.replace(".",e.decimal_symbol)};a.Control.prototype.updateAndExecAction=function(){this.parent.updateControls();"init"===this.action&&(this.click=!1);this.actionExec.execute();this.parent.updateControls();"animate"!==this.action&&this.parent.update()};a.Control.prototype.createGradient=function(a,b){this.linearGradient=this.ctx.createLinearGradient(0,
0,0,b);f=b*b;for(var e=0;e<b;e++)p=g(e-35*b/100),this.linearGradient.addColorStop(e/b,"rgba(0,0,0,"+p*p*192/f/255+")")};a.Control.prototype.getScreenshot=function(){v=this;n=document.createElement("canvas");n.setAttribute("width",v.w);n.setAttribute("height",v.h);l=n.getContext("2d");l.font=v.fieldFontSize+"px Arial, Helvetica, Sans-serif";v.canvas&&(x=v.canvas.offsetLeft,B=v.canvas.offsetTop,l.drawImage(v.canvas,x,B));v.label&&(x=v.label.offsetLeft,B=v.label.offsetTop,D=v.label.offsetWidth,C=v.label.offsetHeight,
l.fillStyle="#e0e4e8",l.fillRect(x,B,D,C),l.fillStyle="black",l.textAlign="center",l.textBaseline="middle",l.fillText(v.name,x+D/2,B+C/2));v.field&&(x=v.field.offsetLeft,B=v.field.offsetTop,D=v.field.offsetWidth,C=v.field.offsetHeight,l.fillStyle="white",l.strokeStyle="#666",l.lineWidth=1,l.fillRect(x,0,D,C),l.strokeRect(x+.5,.5,D-1,C-1),l.fillStyle="black",l.textAlign="center",l.textAlign="left",l.fillText(v.field.value,x+2,C/2));v.select&&(x=v.select.offsetLeft,B=v.select.offsetTop,D=v.select.offsetWidth,
C=v.select.offsetHeight,l.fillStyle="#e0e4e8",l.strokeStyle="#666",l.lineWidth=1,l.fillRect(x,0,D,C),l.strokeRect(x+.5,.5,D,C-1),l.fillStyle="black",l.textAlign="center",l.textAlign="left",l.fillText(v.select.value,x+2,C/2),l.fillStyle="#c0c0c0",l.fillRect(x+D-15+.5,.5,15,C-1),l.strokeRect(x+D-15+.5,.5,15,C-1),l.fillStyle="black",l.beginPath(),l.moveTo(x+D-15+4.5,C/2-2.5),l.lineTo(x+D-15+8,C/2+2.5),l.lineTo(x+D-15+11.5,C/2-2.5),l.closePath(),l.fill());return n};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var g=Math.floor,d=Math.abs,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B,D=/[\w\.\-//]*(\.gif)/gi,C,E,F,G,J,A,z,H,I,M,y,L,K;a.Button=function(b,e){this.imageSrc="";this.image=new Image;this.imageOver=new Image;this.imageDown=new Image;a.Control.call(this,b,e);a.button_ratio=a._ratio;-1===this.font_size&&(this.fontSizeNotSet=!0);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=
this.parser.parse("'"+this.name+"'");var c;this.classContainer="";if(this.imageSrc.trim().match("^_STYLE_")){this.customStyle=!0;this.canvasStyle=[];this.conStyle=[];this.conStyle.textBorder=3;c=this.imageSrc.trim().substring(8).split("|");for(var d,k,h=0,f=c.length;h<f;h++)d=c[h],k=d.match(/rgb/g),d.match("class=")?this.classContainer=" "+d.substring(6):d.match("border=")?(this.canvasStyle.push({type:"border-style",value:"solid"}),this.canvasStyle.push({type:"border-width",value:d.substring(7).trim()+
"px"})):d.match("borderRadius=")?(this.canvasStyle.push({type:"border-radius",value:d.substring(13).trim()+"px"}),this.conStyle.push({type:"border-radius",value:d.substring(13).trim()+"px"})):d.match("borderColor=")?this.canvasStyle.push({type:"border-color",value:(k?"":"#")+d.substring(12).trim()}):d.match("overColor=")?this.conStyle.overColor=(k?"":"#")+d.substring(10).trim():d.match("downColor=")?this.conStyle.downColor=(k?"":"#")+d.substring(10).trim():d.match("font=")?this.conStyle.font=d.substring(5).trim().toLowerCase():
d.match("inactiveColor=")?this.conStyle.inactiveColor=(k?"":"#")+d.substring(14).trim():d.match("inactiveColorBorder=")?this.conStyle.inactiveColorBorder=(k?"":"#")+d.substring(20).trim():d.match("shadowTextBlur=")?this.conStyle.shadowTextBlur=parseFloat(d.substring(15).trim()):d.match("shadowTextOffsetX=")?this.conStyle.shadowTextOffsetX=parseFloat(d.substring(18).trim()):d.match("shadowTextOffsetY=")?this.conStyle.shadowTextOffsetY=parseFloat(d.substring(18).trim()):d.match("shadowTextColor=")?
this.conStyle.shadowTextColor=(k?"":"#")+d.substring(16).trim():d.match("shadowBoxBlur=")?this.conStyle.shadowBoxBlur=parseFloat(d.substring(14).trim()):d.match("shadowBoxOffsetX=")?this.conStyle.shadowBoxOffsetX=parseFloat(d.substring(17).trim()):d.match("shadowBoxOffsetY=")?this.conStyle.shadowBoxOffsetY=parseFloat(d.substring(17).trim()):d.match("shadowBoxColor=")?this.conStyle.shadowBoxColor=(k?"":"#")+d.substring(15).trim():d.match("shadowInsetBoxBlur=")?this.conStyle.shadowInsetBoxBlur=parseFloat(d.substring(19).trim()):
d.match("shadowInsetBoxOffsetX=")?this.conStyle.shadowInsetBoxOffsetX=parseFloat(d.substring(22).trim()):d.match("shadowInsetBoxOffsetY=")?this.conStyle.shadowInsetBoxOffsetY=parseFloat(d.substring(22).trim()):d.match("shadowInsetBoxColor=")?this.conStyle.shadowInsetBoxColor=(k?"":"#")+d.substring(20).trim():d.match("textBorder=")&&(this.conStyle.textBorder=parseFloat(d.substring(11).trim()));this.imageSrc="vacio.gif"}this.imageSrc.match("_COLORES_")&&(c=this.imageSrc.split("_"),this.colorInt=new a.Color(c[2]),
this.color=new a.Color(c[3]),this.font_size=this.parser.parse(c[5]),this.imageSrc="");"["==this.imageSrc.charAt(0)?this.imageSrc=this.parser.parse(this.imageSrc.substring(1,this.imageSrc.length-1)):this.imageSrc=this.parser.parse("'"+this.imageSrc+"'");c=this.evaluator.eval(this.imageSrc).toString().trim();""!=c&&(d=c.substr(0,c.lastIndexOf(".")),k=c.substr(c.lastIndexOf(".")),c.toLowerCase().match(/vacio.gif$/)?(this.imageSrc=this.parser.parse("'vacio.gif'"),this.image.ready=1,3===this.parent.version&&
(this.name=this.parser.parse("")),this.emptyImage={ready:!0},this.parser.parse("'vacio.gif'")):(this.image=this.parent.getImage(c),d&&(this.imageOver=this.parent.getImage(d+"_over"+k),this.imageDown=this.parent.getImage(d+"_down"+k))));this.container=document.createElement("div");this.container.setAttribute("class","DescartesButtonContainer"+this.classContainer);this.container.setAttribute("id",this.id);this.container.setAttribute("style","width:"+this.w+"px; height:"+this.h+"px; left:"+this.x+"px; top:"+
this.y+"px; z-index:"+this.zIndex+";");this.canvas=document.createElement("canvas");this.canvas.width=this.w*a.button_ratio;this.canvas.height=this.h*a.button_ratio;this.canvas.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px; -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box;");this.ctx=this.canvas.getContext("2d");this.ctx.imageSmoothingEnabled=!1;this.container.appendChild(this.canvas);this.addControlContainer(this.container);
this.addEvents();this.init()};a.extend(a.Button,a.Control);a.Button.prototype.init=function(b){f=this.evaluator;C=this.container;p=this.canvas;c=this.ctx;m=f.eval(this.expresion);this.x=m[0][0];this.y=m[0][1];4==m[0].length&&(this.w=parseInt(m[0][2]),this.h=parseInt(m[0][3]));p.width=this.w*a.button_ratio;p.height=this.h*a.button_ratio;p.setAttribute("style","position:absolute; left:0px; top:0px; width:"+this.w+"px; height:"+this.h+"px; -webkit-box-sizing:border-box; -moz-box-sizing:border-box; box-sizing:border-box;");
C.setAttribute("style","width:"+this.w+"px; height:"+this.h+"px; left:"+this.x+"px; top:"+this.y+"px; z-index:"+this.zIndex+"; display:block;");if(this.canvasStyle)for(var e=0,d=this.canvasStyle.length;e<d;e++)p.style[this.canvasStyle[e].type]=this.canvasStyle[e].value;if(this.conStyle){e=0;for(d=this.conStyle.length;e<d;e++)C.style[this.conStyle[e].type]=this.conStyle[e].value;if(this.conStyle.shadowBoxColor){var e=this.conStyle.shadowBoxOffsetX||0,d=this.conStyle.shadowBoxOffsetY||2,k=this.conStyle.shadowBoxBlur||
2;C.style.boxShadow=e+"px "+d+"px "+k+"px 1px "+this.conStyle.shadowBoxColor}this.conStyle.shadowInsetBoxColor&&(e=this.conStyle.shadowInsetBoxOffsetX||0,d=this.conStyle.shadowInsetBoxOffsetY||-2,k=this.conStyle.shadowInsetBoxBlur||1,p.style.boxShadow=e+"px "+d+"px "+k+"px 1px "+this.conStyle.shadowInsetBoxColor+" inset");this.conStyle.shadowTextColor&&(c.shadowBlur=this.conStyle.shadowTextBlur||1,c.shadowOffsetX=this.conStyle.shadowTextOffsetX||0,c.shadowOffsetY=this.conStyle.shadowTextOffsetY||
2,c.shadowColor=this.conStyle.shadowTextColor)}this.fontSizeNotSet&&(this.font_size=f.parser.parse(a.getFieldFontSize(this.h)+""));this.fs_evaluated=f.eval(this.font_size);this.createGradient(this.w,this.h);C.style.display=0<f.eval(this.drawif)?"block":"none";c.textAlign="center";c.textBaseline="middle";c.lineJoin="round";c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+"px descartesJS_sansserif,Arial,Helvetica,Sans-serif";this.customStyle&&("serif"==this.conStyle.font?c.font=this.italics+
" "+this.bold+" "+this.fs_evaluated+"px descartesJS_serif,Times,'Times New Roman', serif":"monospace"==this.conStyle.font?c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+"px descartesJS_monospace,Courier,'Courier New',Monospace":"icons"==this.conStyle.font&&(c.font=this.italics+" "+this.bold+" "+this.fs_evaluated+"px descartesJS_icons,Arial,Helvetica,Sans-serif"));this.draw(b)};a.Button.prototype.update=function(){f=this.evaluator;C=this.container;p=this.canvas;this.activeIfValue=0<f.eval(this.activeif);
(this.drawIfValue=0<f.eval(this.drawif))?(C.style.display="block",this.draw()):(C.style.display="none",this.buttonClick=!1);C.style.cursor=this.activeIfValue?"pointer":"not-allowed";p.style.cursor=this.activeIfValue?"pointer":"not-allowed";C.setAttribute("data-active",this.activeIfValue?"true":"false");this.updatePositionAndSize()};a.Button.prototype.draw=function(d){C=this.container;f=this.evaluator;p=this.canvas;c=this.ctx;b=f.eval(this.name);u=f.eval(this.imageSrc)+"";if(!d&&(E=this.over===this.oldOver,
F=this.buttonClick===this.oldButtonClick,G=this.activeIfValue===this.oldActiveIfValue,J=this.drawIfValue===this.oldDrawIfValue,A=b===this.oldName,z=u===this.oldImageSrc,this.oldOver=this.over,this.oldButtonClick=this.buttonClick,this.oldActiveIfValue=this.activeIfValue,this.oldDrawIfValue=this.drawIfValue,this.oldName=b,this.oldImageSrc=u,E&&F&&G&&J&&A&&z))return;c.save();c.setTransform(a.button_ratio,0,0,a.button_ratio,0,0);h=this.fs_evaluated;C.setAttribute("data-name",b);u?(k="vacio.gif"===u?this.emptyImage:
this.parent.getImage(u),H=u.substr(0,u.lastIndexOf(".")),I=u.substr(u.lastIndexOf(".")),M=H+"_over"+I,y=H+"_down"+I,L="vacio.gif"===u?this.emptyImage:this.parent.getImage(M),K="vacio.gif"===u?this.emptyImage:this.parent.getImage(y)):K=L=k=this.emptyImage;c.clearRect(0,0,this.w,this.h);q=r=0;this.buttonClick&&(q=r=1);n=g(this.w/2+r)-.5;l=g(this.h/2+q)-.5;k&&(v=k.height||1E8,x=a.getFontMetrics(this.italics+" "+this.bold+" "+h+"px descartesJS_sansserif, Arial, Helvetica, Sans-serif").h,B=""!=b?0<=this.h-
v-x-2?!0:!1:!1,w=parseInt((this.w-k.width)/2)+r,e=B?parseInt((this.h-x-k.height+2)/2):parseInt((this.h-k.height)/2)+q,B&&(l=parseInt(this.h-x/2-2),C.style.backgroundColor=this.colorInt.getColor(),c.strokeStyle=this.color.getColor(),c.lineWidth=1,c.beginPath(),c.moveTo(.5,.5),c.lineTo(this.w-.5,.5),c.lineTo(this.w-.5,this.h-.5),c.lineTo(.5,this.h-.5),c.closePath(),c.stroke()));k&&k.ready?k!==this.emptyImage&&k.complete?u.match(D)?(this.canvas.style.backgroundImage="url('"+u+"')",this.canvas.style.backgroundPosition=
w+"px "+e+"px"):c.drawImage(k,w,e):this.emptyImage&&this.customStyle&&(C.style.backgroundColor=this.colorInt.getColor()):(C.style.backgroundColor=this.colorInt.getColor(),this.buttonClick||(a.drawLine(c,this.w-1,0,this.w-1,this.h,"rgba(0,0,0,0.5)"),a.drawLine(c,0,0,0,this.h,"rgba(0,0,0,0.09)"),a.drawLine(c,1,0,1,this.h,"rgba(0,0,0,0.03)")),c.fillStyle=this.linearGradient,c.fillRect(0,0,this.w,this.h));this.activeIfValue&&(L!==this.emptyImage&&this.over&&L.ready&&L.complete?M.match(D)?(this.canvas.style.backgroundImage=
"url('"+M+"')",this.canvas.style.backgroundPosition=w+"px "+e+"px"):c.drawImage(L,w,e):this.customStyle&&this.conStyle.overColor&&this.over&&(C.style.backgroundColor=this.conStyle.overColor));this.activeIfValue?K!==this.emptyImage&&this.buttonClick&&K.ready&&K.complete?y.match(D)?(this.canvas.style.backgroundImage="url('"+y+"')",this.canvas.style.backgroundPosition=w+"px "+e+"px"):c.drawImage(K,w,e):this.customStyle&&this.conStyle.downColor&&this.buttonClick&&(C.style.backgroundColor=this.conStyle.downColor):
this.buttonClick&&!k&&(c.fillStyle="rgba(0,0,0,0.09)",c.fillRect(0,0,this.w,this.h));c.fillStyle=this.color.getColor();this.customStyle&&this.conStyle.shadowTextColor&&0<this.conStyle.textBorder&&(c.lineWidth=this.conStyle.textBorder,c.strokeStyle=this.conStyle.shadowTextColor,c.strokeText(b,n,l));B||this.conStyle||!this.drawTextBorder()||(c.lineWidth=parseInt(h/6),c.strokeStyle=this.colorInt.getColor(),c.strokeText(b,n,l));c.fillText(b,n,l);this.underlined&&(t=c.measureText(b).width,c.strokeStyle=
this.color.getColor(),c.lineWidth=g(h/10)||2,c.lineCap="round",c.beginPath(),c.moveTo(parseInt((this.w-t)/2)+r,l+g(h/2)+g(h/5)-1.5),c.lineTo(parseInt((this.w+t)/2)+r,l+g(h/2)+g(h/5)-1.5),c.stroke());this.activeIfValue||(this.customStyle&&this.conStyle.inactiveColor?C.style.backgroundColor=this.conStyle.inactiveColor:(c.fillStyle="rgba(240,240,240,0.6)",c.fillRect(0,0,this.w,this.h)));c.restore();this._image_pos_x=w;this._image_pos_y=e};a.Button.prototype.drawTextBorder=function(){this.colorInt.getColor();
this.color.getColor();return!(.5>(d(this.colorInt.r-this.color.r)+d(this.colorInt.g-this.color.g)+d(this.colorInt.b-this.color.b))/255)};a.Button.prototype.buttonPressed=function(){this.updateAndExecAction()};a.Button.prototype.addEvents=function(){function b(e,c,h){a.clearTimeout(k);d.buttonClick&&d.drawIfValue&&d.activeIfValue&&(c.call(d),e=h?e:100,k=a.setTimeout(function(){b(e,c,!1)},e))}function e(k){this.focus();k.preventDefault();k.stopPropagation();document.activeElement!=document.body&&document.activeElement.blur();
d.whichBtn=a.whichBtn(k);"L"==d.whichBtn&&d.activeIfValue&&(d.buttonClick=!0,d.draw(),"calculate"==d.action&&(d.evaluator.setVariable(d.id,d.evaluator.eval(d.valueExpr)),b(1E3,d.buttonPressed,!0)),d.canvas.removeEventListener("touchend",c),d.canvas.addEventListener("touchend",c),d.canvas.removeEventListener("mouseup",c),d.canvas.addEventListener("mouseup",c))}function c(a){this.focus();a.preventDefault();a.stopPropagation();if(d.activeIfValue||d.buttonClick)d.buttonClick=!1,d.draw(),"calculate"!=
d.action&&(d.evaluator.setVariable(d.id,d.evaluator.eval(d.valueExpr)),d.buttonPressed()),d.canvas.removeEventListener("touchend",c),d.canvas.removeEventListener("mouseup",c);d.parent.update()}var d=this,k;d.canvas.oncontextmenu=function(){return!1};this.over=this.buttonClick=!1;this.canvas.addEventListener("touchstart",e);this.canvas.addEventListener("mousedown",e);this.canvas.addEventListener("mouseover",function(a){a.preventDefault();a.stopPropagation();d.over=!0;d.draw()});this.canvas.addEventListener("mouseout",
function(a){a.preventDefault();a.stopPropagation();d.over=!1;d.buttonClick=!1;d.draw()});document.addEventListener("visibilitychange",function(a){d.buttonClick=!1})};a.Button.prototype.getScreenshot=function(){var a=document.createElement("canvas");a.width=this.w;a.height=this.h;c=a.getContext("2d");u=f.eval(this.imageSrc);(k="vacio.gif"===u?this.emptyImage:this.parent.getImage(u))&&k.ready?c.drawImage(k,this._image_pos_x,this._image_pos_y):(c.fillStyle=this.colorInt.getColor(),c.fillRect(0,0,this.w,
this.h));c.drawImage(this.canvas,0,0);return a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v;a.Spinner=function(b,e){a.Control.call(this,b,e);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);v=this.evaluator.parser.parse("1");
this.originalIncr=this.incr;if(0>=this.evaluator.eval(this.decimals)||0==this.evaluator.eval(this.incr)){var c=this.evaluator.eval(this.incr);0<c?this.originalIncr=this.incr=this.evaluator.parser.parse(parseInt(c).toString()):this.incr=v}this.addEvents();this.init()};a.extend(a.Spinner,a.Control);a.Spinner.prototype.init=function(){g=this.evaluator;var b=g.eval(this.name).toString();this.label.innerHTML=b;this.value=this.validateValue(g.eval(this.valueExpr));var e=this.formatOutputValue(this.value);
this.fieldFontSize=2!==this.parent.version?a.getFieldFontSize(this.h):10;var c=2!==this.parent.version?"__":"_____",d=a.getTextWidth(e+"_",this.fieldFontSize+"px Arial"),k=2+parseInt(this.h/2),h=parseInt(this.w/2-k/2),c=a.getTextWidth(b+c,this.fieldFontSize+"px Arial");this.visible||(h=this.w-k,d=0);h<c&&(h=c);""==b&&(h=0);this.w-h-k<d&&(h=this.w-k-d);0>h&&(h=0);b=this.w-(h+k);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",k+"px");this.canvas.setAttribute("height",this.h+"px");this.canvas.setAttribute("style","position: absolute; left: "+h+"px; top: 0px;");this.ctx=this.canvas.getContext("2d");this.ctx.imageSmoothingEnabled=!1;this.divUp.setAttribute("class","up");this.divUp.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+
k+"px; height : "+this.h/2+"px; left: "+h+"px; top: 0px;");this.divDown.setAttribute("class","down");this.divDown.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+k+"px; height : "+this.h/2+"px; left: "+h+"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: "+(k+h)+"px;");this.field.setAttribute("tabindex",this.tabindex);this.field.value=e;this.visible||(this.field.style.display="none");this.label.setAttribute("class","DescartesSpinnerLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width: "+h+"px; height: "+this.h+"px; line-height: "+this.h+"px;");g.setVariable(this.id,this.value);this.createGradient(this.h/2,this.h)};a.Spinner.prototype.update=function(){g=
this.evaluator;this.label.innerHTML=g.eval(this.name).toString();0>=g.eval(this.decimals)?(d=g.eval(this.incr),0<d?this.originalIncr=this.incr=g.parser.parse(parseInt(d).toString()):this.incr=v):this.incr=0!=g.eval(this.originalIncr)?this.originalIncr:v;this.activeIfValue=0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.drawIfValue?(this.containerControl.style.display="block",this.draw()):(this.click=!1,this.containerControl.style.display=
"none");this.updatePositionAndSize();this.parent.animation.playing&&document.activeElement==this.field||(f=this.field.value,p=this.value,this.value=this.validateValue(g.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),this.value==p&&this.field.value!=f&&(this.value=this.validateValue(f),this.field.value=this.formatOutputValue(this.value)),g.setVariable(this.id,this.value))};a.Spinner.prototype.draw=function(){c=this.ctx;m=this.canvas.width;h=this.canvas.height;c.fillStyle=
"#f0f8ff";c.fillRect(0,0,m,h);c.fillStyle=this.linearGradient;c.fillRect(0,0,m,h);this.up?(b="gray",u="#f0f8ff"):(b="#f0f8ff",u="gray");a.drawLine(c,0,0,m,0,b);a.drawLine(c,0,0,0,h/2,b);a.drawLine(c,0,h/2,m,h/2,u);this.down?(b="gray",u="#f0f8ff"):(b="#f0f8ff",u="gray");a.drawLine(c,0,h/2+1,m,h/2+1,b);a.drawLine(c,0,h/2+1,0,h,b);a.drawLine(c,0,h-1,m,h-1,u);k=[parseInt(m/2+1),parseInt(m/5+1),parseInt(m-m/5+1)];r=[parseInt(h/8+1),parseInt(h/8+1+h/4),parseInt(h/8+1+h/4)];c.fillStyle=this.activeIfValue?
"#2244cc":"#8888aa";c.beginPath();c.moveTo(k[0],r[0]);c.lineTo(k[1],r[1]);c.lineTo(k[2],r[2]);c.fill();r=[parseInt(h-h/8),parseInt(h-h/8-h/4),parseInt(h-h/8-h/4)];c.fillStyle=this.activeIfValue?"#d00018":"#aa8888";c.beginPath();c.moveTo(k[0],r[0]);c.lineTo(k[1],r[1]);c.lineTo(k[2],r[2]);c.fill();c.fillStyle="rgba(0,0,0,"+24/255+")";this.up&&c.fillRect(0,0,m,h/2);this.down&&c.fillRect(0,h/2,m,h)};a.Spinner.prototype.validateValue=function(a){g=this.evaluator;isNaN(parseFloat(a))||a.toString().match("e")&&
(a=parseFloat(a).toFixed(20));a=void 0!=a?a.toString():"0";a=a.replace(this.parent.decimal_symbol,".");q=a==parseFloat(a)?parseFloat(a):parseFloat(g.eval(g.parser.parse(a)));isNaN(q)&&(q=0);e=g.eval(this.min);n=g.eval(this.max);""===e&&(e=-Infinity);""===n&&(n=Infinity);q<e&&(q=e);q>n&&(q=n);this.discrete&&(t=g.eval(this.incr),q=0==t?0:t*Math.round(q/t));w=g.eval(this.decimals);0>=w&&(w=0);return q=parseFloat(parseFloat(q).toFixed(w))};a.Spinner.prototype.increase=function(){this.changeValue(parseFloat(this.value)+
this.evaluator.eval(this.incr))};a.Spinner.prototype.decrease=function(){this.changeValue(parseFloat(this.value)-this.evaluator.eval(this.incr))};a.Spinner.prototype.changeValue=function(a){this.activeIfValue&&(this.value=this.validateValue(a),this.field.value=this.formatOutputValue(this.value),this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction())};a.Spinner.prototype.addEvents=function(){function b(e,c,d){a.clearTimeout(q);if(h.up||h.down)c.call(h),e=d?e:30,q=a.setTimeout(function(){b(e,
c)},e)}function e(c){c.preventDefault();h.whichBtn=a.whichBtn(c);"L"==h.whichBtn&&h.activeIfValue&&(h.up=!0,b(f,h.increase,!0),h.draw())}function c(e){e.preventDefault();h.whichBtn=a.whichBtn(e);"L"==h.whichBtn&&h.activeIfValue&&(h.down=!0,b(f,h.decrease,!0),h.draw())}function d(b){h.up=!1;a.clearTimeout(q);h.draw()}function k(b){h.down=!1;a.clearTimeout(q);h.draw()}l=a.hasTouchSupport;var h=this,f=l?500:200,q;h.divUp.oncontextmenu=h.divDown.oncontextmenu=h.field.oncontextmenu=h.label.oncontextmenu=
function(){return!1};this.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});this.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.field.addEventListener("keydown",function(a){13==a.keyCode&&h.changeValue(h.field.value)});this.divUp.addEventListener("touchstart",e);this.divUp.addEventListener("mousedown",e);this.divDown.addEventListener("touchstart",c);this.divDown.addEventListener("mousedown",c);this.divUp.addEventListener("mouseout",function(b){h.up=
!1;a.clearTimeout(q);h.draw();b.preventDefault()});this.divDown.addEventListener("mouseout",function(b){h.down=!1;a.clearTimeout(q);h.draw();b.preventDefault()});this.divUp.addEventListener("touchend",d);window.addEventListener("touchend",d);this.divUp.addEventListener("mouseup",d);window.addEventListener("mouseup",d);this.divDown.addEventListener("touchend",k);window.addEventListener("touchend",k);this.divDown.addEventListener("mouseup",k);window.addEventListener("mouseup",k);document.addEventListener("visibilitychange",
function(b){h.up=!1;h.down=!1;a.clearTimeout(q);h.draw()});h.field.addEventListener("click",function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m;a.TextField=function(c,b){a.Control.call(this,c,b);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name.trim()+"'");void 0===this.valueExprString&&(this.valueExprString=
this.onlyText?"0":"");this.emptyString=!1;this.ok=0;this.tabindex=++this.parent.tabindex;this.regExpDecimalSymbol=new RegExp("\\"+this.parent.decimal_symbol,"g");if(this.answer)if(this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7))),this.answerPattern=this.answer,this.answer=a.buildRegularExpresionsPatterns(this.answer,this.evaluator),this.onlyText){var d=this.answerPattern.indexOf("|");this.firstAnswer=-1==d?this.answerPattern:this.answerPattern.substring(0,
d)}else this.firstAnswer=this.parser.parse(this.answerPattern.substring(1,this.answerPattern.indexOf(",")));this.onlyText&&(this.valueExprString.match(/^'/)&&this.valueExprString.match(/'$/)||(this.valueExpr=this.evaluator.parser.parse("'"+this.valueExprString+"'")),this.validateValue=function(a){a=a.toString();return"''"==a||"'"==a?"":a&&a.match(/^'/)&&a.match(/'$/)?a.substring(1,a.length-1):a},this.formatOutputValue=function(a){return a.toString()});""==name.trim()&&(name="");this.containerControl=
document.createElement("div");this.field=document.createElement("input");this.label=document.createElement("label");this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.field);this.addControlContainer(this.containerControl);this.addEvents();this.init()};a.extend(a.TextField,a.Control);a.TextField.prototype.init=function(){g=this.evaluator;var c=g.eval(this.name).toString();this.label.innerHTML=c;this.value=this.validateValue(g.eval(this.valueExpr));var b=this.formatOutputValue(this.value);
this.fieldFontSize=a.getFieldFontSize(this.h);var d=a.getTextWidth(b+"_",this.fieldFontSize+"px Arial"),k=parseInt(this.w/2),f=a.getTextWidth(c,this.fieldFontSize+"px Arial");this.visible||(k=this.w,d=0);k<f&&(k=f);""==c&&(k=0);this.w-k<d&&(k=this.w-d);0>k&&(k=0);c=this.w-k;this.containerControl.setAttribute("class","DescartesTextFieldContainer");this.containerControl.setAttribute("style","width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index: "+this.zIndex+";");
this.field.setAttribute("type","text");this.field.setAttribute("id",this.id+"TextField");this.field.setAttribute("class","DescartesTextFieldField");this.field.setAttribute("style","font-size: "+this.fieldFontSize+"px; width : "+c+"px; height : "+this.h+"px; left: "+k+"px;");this.field.setAttribute("tabindex",this.tabindex);this.field.value=b;this.label.setAttribute("class","DescartesTextFieldLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width: "+k+"px; height: "+this.h+
"px; line-height: "+this.h+"px;");this.evaluate&&(this.ok=this.evaluateAnswer());this.evaluator.setVariable(this.id,this.value);this.evaluator.setVariable(this.id+".ok",this.ok);this.oldValue=this.value;this.update()};a.TextField.prototype.update=function(){g=this.evaluator;this.label.innerHTML=g.eval(this.name).toString();this.activeIfValue=0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.containerControl.style.display=this.drawIfValue?"block":
"none";this.updatePositionAndSize();this.parent.animation.playing&&document.activeElement==this.field||(d=this.field.value,f=this.value,this.value=this.validateValue(g.getVariable(this.id)),this.field.value=this.formatOutputValue(this.value),this.value===f&&this.field.value!=d&&(this.value=this.validateValue(d),this.field.value=this.formatOutputValue(this.value)),g.setVariable(this.id,this.value))};a.TextField.prototype.validateValue=function(a){if(""===a||"''"==a)return"";g=this.evaluator;a=a.toString().replace(this.regExpDecimalSymbol,
".","g");p=a==parseFloat(a)?parseFloat(a):parseFloat(g.eval(g.parser.parse(a)));isNaN(p)&&(p=0);c=g.eval(this.min);""==c&&(c=-Infinity);m=g.eval(this.max);""==m&&(m=Infinity);this.discrete&&(a=g.eval(this.incr),p=0==a?0:a*Math.round(p/a));return p=parseFloat(parseFloat(p).toFixed(g.eval(this.decimals)))};a.TextField.prototype.formatOutputValue=function(a){return""===a?"":this.uber.formatOutputValue.call(this,a)};a.TextField.prototype.changeValue=function(a,b){this.activeIfValue&&(this.value=this.validateValue(a),
this.field.value=this.formatOutputValue(this.value),this.evaluate&&(this.ok=this.evaluateAnswer()),this.evaluator.setVariable(this.id,this.value),this.evaluator.setVariable(this.id+".ok",this.ok),this.updateAndExecAction())};a.TextField.prototype.evaluateAnswer=function(){return a.esCorrecto(this.answer,this.value,this.evaluator,this.answer)};a.TextField.prototype.getFirstAnswer=function(){return this.answer?this.onlyText?this.firstAnswer:this.evaluator.eval(this.firstAnswer):""};a.TextField.prototype.addEvents=
function(){var a=this;a.field.oncontextmenu=a.label.oncontextmenu=function(){return!1};a.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});a.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.field.addEventListener("blur",function(b){a.evaluator.eval(a.drawIf)&&a.changeValue(a.field.value,!0)});this.field.addEventListener("keydown",function(b){a.activeIfValue&&13==b.keyCode&&a.changeValue(a.field.value,!0)});a.field.addEventListener("click",
function(a){this.select();this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.abs,d,f,p,c,m,h,b,u,k,r;a.Menu=function(b,c){function k(a){e.options=a.split(",");e.menuOptions=[];e.strValue=[];var b;a=0;for(var c=e.options.length;a<c;a++)b=e.customSplit(e.options[a]),1==b.length?(e.menuOptions.push(b[0]),e.strValue.push(a.toString())):2==b.length&&(e.menuOptions.push(b[0]),""==b[1]?e.strValue.push(a.toString()):e.strValue.push(b[1]));a=0;for(c=e.menuOptions.length;a<
c;a++)e.menuOptions[a].match(/^\[/)&&e.menuOptions[a].match(/\]$/)?e.menuOptions[a]=d.parse(e.menuOptions[a].substring(1,e.menuOptions[a].length-1)):e.menuOptions[a]=d.parse("'"+e.menuOptions[a]+"'");a=0;for(c=e.strValue.length;a<c;a++)e.strValue[a].match(/^\[/)&&e.strValue[a].match(/\]$/)?e.strValue[a]=d.parse(e.strValue[a].substring(1,e.strValue[a].length-1)):e.strValue[a]=d.parse(e.strValue[a]);for(;e.select.firstChild;)e.select.removeChild(e.select.firstChild);a=0;for(c=e.menuOptions.length;a<
c;a++)b=document.createElement("option"),b.innerHTML=f.eval(e.menuOptions[a]),e.select.appendChild(b)}this.options="";a.Control.call(this,b,c);d=this.parser;f=this.evaluator;this.ok=0;this.tabindex=++this.parent.tabindex;this.answer&&(this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7))),this.answer=parseInt(this.answer.split(",")[0].replace("[",""))||0);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,
this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");var e=this;this.evaluator.setFunction(this.id+".setOptions",k);this.containerControl=document.createElement("div");this.label=document.createElement("label");this.select=document.createElement("select");this.field=document.createElement("input");k(this.options);this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.select);this.visible&&this.containerControl.appendChild(this.field);this.addControlContainer(this.containerControl);
this.addEvents();this.init()};a.extend(a.Menu,a.Control);a.Menu.prototype.init=function(b){f=this.evaluator;var c=f.eval(this.name).toString();this.label.innerHTML=c;this.fieldFontSize=2!=this.parent.version?a.getFieldFontSize(this.h):10;var d=0,e=0,k=0;this.value=b?this.value:f.eval(this.valueExpr);this.indexValue=this.getIndex(this.value);b=0;for(var h=this.menuOptions.length;b<h;b++)k=a.getTextWidth(f.eval(this.menuOptions[b]).toString(),this.fieldFontSize+"px Arial"),k>d&&(d=k,e=b);d+=25;k=a.getTextWidth(this.formatOutputValue(f.eval(this.strValue[e])),
this.fieldFontSize+"px Arial")+7;e=a.getTextWidth(c,this.fieldFontSize+"px Arial")+10;""==c&&(e=0);this.visible||(k=0);for(c=this.w-k-e;c<d&&0<e;)e--,c++;for(;c<d&&0<k;)k--,c++;for(;e+c+k+1<this.w;)c++,k++;d=e;b=d+c;k=this.w-b;h=this.formatOutputValue(f.eval(this.strValue[this.indexValue]));this.containerControl.setAttribute("class","DescartesMenuContainer");this.containerControl.setAttribute("style","width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index:"+this.zIndex+
";");this.label.setAttribute("class","DescartesMenuLabel");this.label.setAttribute("style","font-size:"+this.fieldFontSize+"px; width:"+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=h;this.field.setAttribute("class","DescartesMenuField");this.field.setAttribute("style","font-size: "+this.fieldFontSize+"px; width: "+k+"px; height: "+this.h+"px; left:"+b+"px;");this.field.setAttribute("tabindex",
this.tabindex);this.select.setAttribute("id",this.id+"_menuSelect");this.select.setAttribute("class","DescartesMenuSelect");this.select.setAttribute("style","text-align:left; font-size:"+this.fieldFontSize+"px; width: "+c+"px; height: "+this.h+"px; left: "+d+"px; border: 1.5px solid #7a8a99; background-color: #eeeeee;");this.select.setAttribute("tabindex",this.tabindex);this.select.selectedIndex=this.indexValue;f.setVariable(this.id,parseFloat(h.replace(this.parent.decimal_symbol,".")));this.update()};
a.Menu.prototype.update=function(){f=this.evaluator;this.activeIfValue=0<f.eval(this.activeif);this.drawIfValue=0<f.eval(this.drawif);this.field.disabled=this.activeIfValue?!1:!0;this.select.disabled=this.activeIfValue?!1:!0;this.drawIfValue?this.containerControl.style.display="block":(this.click=!1,this.containerControl.style.display="none");if(!this.parent.animation.playing||document.activeElement!=this.select){this.label.innerHTML=f.eval(this.name).toString();for(var a=0,b=this.menuOptions.length;a<
b;a++)this.select.options[a].innerHTML=f.eval(this.menuOptions[a]);this.value=f.getVariable(this.id);isNaN(this.value)&&(this.value=0);this.field.value=this.formatOutputValue(this.value);f.setVariable(this.id,parseFloat(this.value));this.select.selectedIndex=parseFloat(this.getIndex(this.value))}this.ok=this.value==this.answer?1:0;this.evaluator.setVariable(this.id+".ok",this.ok);this.updatePositionAndSize()};a.Menu.prototype.customSplit=function(a){h=!1;b="";u=0;for(k=-1;u<a.length;){r=a.charAt(u);
a.charAt(u-1);if("["===r&&-1===k){if(h||""!=b)b+="\u00a6";k++}else"["===r?k++:"]"===r&&0===k?(h=!0,k--):"]"==a.charAt(u)&&(k=0>k?k:k-1);b+=a.charAt(u);u++}return b.split("\u00a6")};a.Menu.prototype.getIndex=function(a){a=parseFloat(a.toString().replace(this.parent.decimal_symbol,"."));p=-1;c=Infinity;for(var b=0,d=this.strValue.length;b<d;b++)m=g(a-parseFloat(this.evaluator.eval(this.strValue[b]))),m<=c&&(c=m,p=b);return p};a.Menu.prototype.changeValue=function(){this.activeIfValue&&(this.evaluator.setVariable(this.id,
this.value),this.updateAndExecAction())};a.Menu.prototype.addEvents=function(){var a=this;a.select.oncontextmenu=a.label.oncontextmenu=a.field.oncontextmenu=function(){return!1};a.label.addEventListener("touchstart",function(a){a.preventDefault();return!1});a.label.addEventListener("mousedown",function(a){a.preventDefault();return!1});this.select.addEventListener("change",function(b){a.value=a.evaluator.eval(a.strValue[this.selectedIndex]);a.field.value=a.formatOutputValue(a.value);a.evaluator.setVariable(a.id,
a.field.value);a.changeValue();b.preventDefault()});this.field.addEventListener("keydown",function(b){13==b.keyCode&&(a.indexValue=a.getIndex(a.field.value),a.value=a.evaluator.eval(a.strValue[a.indexValue]),a.field.value=a.formatOutputValue(a.indexValue),a.select.selectedIndex=a.indexValue,a.changeValue())});a.field.addEventListener("click",function(a){this.focus()})};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor,d,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x;a.Scrollbar=
function(b,e){a.Control.call(this,b,e);"["===this.name.charAt(0)&&"]"===this.name.charAt(this.name.length-1)?this.name=this.parser.parse(this.name.substring(1,this.name.length-1)):this.name=this.parser.parse("'"+this.name+"'");this.orientation=this.w>=this.h?"h":"v";this.containerControl=document.createElement("div");this.canvas=document.createElement("canvas");this.divUp=document.createElement("div");this.divDown=document.createElement("div");this.field=document.createElement("input");this.scrollManipulator=
document.createElement("div");this.label=document.createElement("label");this.containerControl.appendChild(this.canvas);this.containerControl.appendChild(this.label);this.containerControl.appendChild(this.divUp);this.containerControl.appendChild(this.divDown);this.containerControl.appendChild(this.field);this.containerControl.appendChild(this.scrollManipulator);this.addControlContainer(this.containerControl);this.addEvents();this.init()};a.extend(a.Scrollbar,a.Control);a.Scrollbar.prototype.init=
function(){d=this.evaluator;0==d.eval(this.decimals)?this.incr=1:this.incr=(d.eval(this.max)-d.eval(this.min))/100;this.value=this.validateValue(d.eval(this.valueExpr));p=this.formatOutputValue(this.value);c=this.evaluator.eval(this.expresion);this.x=c[0][0];this.y=c[0][1];4==c[0].length&&(this.w=c[0][2],this.h=c[0][3]);this.orientation=this.w>=this.h?"h":"v";this.initScroll(p);this.changeScrollPositionFromValue();this.prePos=this.pos;d.setVariable(this.id,this.value)};a.Scrollbar.prototype.initScroll=
function(b){f=this;d=f.evaluator;var e=d.eval(f.name).toString();f.label.innerHTML=e;var c="v"===f.orientation?parseInt(19+5*(f.h-100)/100):f.h;f.fieldFontSize="v"===f.orientation?c-parseInt(f.h/20)-1:2!==f.parent.version?a.getFieldFontSize(c):10;var k=a.getTextWidth(b+"_",f.fieldFontSize+"px Arial"),h=f.parent.getSpaceById(f.spaceID).h;f.labelHeight=""==e?0:c;f.fieldHeight=""==f.visible?0:c;if("v"===f.orientation)f.canvasWidth=f.w,f.canvasHeight=f.h-f.labelHeight-f.fieldHeight,18<=f.canvasHeight+
f.y-h&&(f.canvasHeight=h),e=0,e=f.fieldHeight,k=e+f.canvasHeight,f.canvasX=0,f.canvasY=f.fieldHeight,f.labelWidth=f.w,f.labelY=k,f.upWidth=f.downW=f.w,f.upHeight=f.downH=15,f.upX=0,f.upY=f.fieldHeight,f.downX=0,f.downY=k-f.downH,f.fieldWidth=f.w,f.fieldX=0,f.scrollManipulatorW=f.w,f.scrollManipulatorH=parseInt((f.canvasHeight-f.upHeight-f.downH-f.labelHeight-f.fieldHeight)/10),f.scrollManipulatorH=15>f.scrollManipulatorH?15:f.scrollManipulatorH,f.scrollManipulatorLimInf=k-f.downH-f.scrollManipulatorH,
f.scrollManipulatorLimSup=e+f.downH;else{c=a.getTextWidth(e,f.fieldFontSize+"px Arial")+10;f.labelWidth=c;f.fieldWidth=k;""==e&&(f.labelWidth=0);f.visible||(f.fieldWidth=0);for(k=f.w-f.fieldWidth-f.labelWidth;58>k&&0<f.labelWidth;)f.labelWidth--,k++;for(;58>k&&0<f.fieldWidth;)f.fieldWidth--,k++;e=f.labelWidth;c=e+k;f.fieldWidth=f.w-c;f.canvasWidth=k;f.canvasHeight=f.h;f.canvasX=f.labelWidth;f.canvasY=0;f.fieldX=f.canvasWidth+f.labelWidth;f.labelHeight=f.h;f.labelY=0;f.upWidth=f.downW=15;f.upHeight=
f.downH=f.h;f.upX=c-f.downW;f.upY=0;f.downX=f.labelWidth;f.downY=0;f.scrollManipulatorW=parseInt((f.canvasWidth-f.upWidth-f.downW)/10);f.scrollManipulatorW=15>f.scrollManipulatorW?15:f.scrollManipulatorW;f.scrollManipulatorH=f.h;f.scrollManipulatorLimInf=e+f.downW;f.scrollManipulatorLimSup=e+f.canvasWidth-f.downW-f.scrollManipulatorW}f.containerControl.setAttribute("class","DescartesScrollbarContainer");f.containerControl.setAttribute("id",f.id);f.containerControl.setAttribute("style","width: "+f.w+
"px; height: "+f.h+"px; left: "+f.x+"px; top: "+f.y+"px; z-index: "+f.zIndex+";");f.canvas.setAttribute("width",f.w+"px");f.canvas.setAttribute("height",f.h+"px");f.canvas.setAttribute("style","position: absolute; left: 0px; top: 0px;");f.ctx=f.canvas.getContext("2d");f.ctx.imageSmoothingEnabled=!1;f.divUp.setAttribute("class","DescartesCatcher up");f.divUp.setAttribute("style","width : "+f.upWidth+"px; height : "+f.upHeight+"px; left: "+f.upX+"px; top: "+f.upY+"px;");f.divDown.setAttribute("class",
"DescartesCatcher down");f.divDown.setAttribute("style","width : "+f.downW+"px; height : "+f.downH+"px; left: "+f.downX+"px; top: "+f.downY+"px;");f.scrollManipulator.setAttribute("class","DescartesCatcher manipulator");f.scrollManipulator.setAttribute("style","width : "+f.scrollManipulatorW+"px; height : "+f.scrollManipulatorH+"px;");f.scrollManipulator.style.top=("v"===f.orientation?f.scrollManipulatorLimInf:0)+"px";f.scrollManipulator.style.left=("v"===f.orientation?0:f.scrollManipulatorLimInf)+
"px";f.field.setAttribute("type","text");f.field.setAttribute("id",f.id+"scrollbar");f.field.setAttribute("class","DescartesScrollbarField");f.field.setAttribute("style","font-size: "+f.fieldFontSize+"px; width : "+f.fieldWidth+"px; height : "+f.fieldHeight+"px; left: "+f.fieldX+"px; top: 0px;");f.field.value=b;0===f.fieldHeight&&(f.field.style.display="none");f.label.setAttribute("class","DescartesScrollbarLabel");f.label.setAttribute("style","font-size:"+f.fieldFontSize+"px; width: "+f.labelWidth+
"px; height: "+f.labelHeight+"px; line-height: "+f.labelHeight+"px; left: 0px; top:"+f.labelY+"px;")};a.Scrollbar.prototype.update=function(){d=this.evaluator;this.label.innerHTML=d.eval(this.name).toString();0==d.eval(this.decimals)?this.incr=1:this.incr=(d.eval(this.max)-d.eval(this.min))/100;this.activeIfValue=0<d.eval(this.activeif);this.drawIfValue=0<d.eval(this.drawif);this.field.disabled=!this.activeIfValue;this.drawIfValue?(this.containerControl.style.display="block",this.draw()):this.containerControl.style.display=
"none";this.updatePositionAndSize();var a=this.validateValue(d.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);d.setVariable(this.id,this.value)};a.Scrollbar.prototype.draw=function(){f=this;m=f.ctx;b=g(this.w);h=g(this.h);m.fillStyle="#e0e4e8";m.fillRect(0,0,b,h);m.strokeStyle="#7a8a99";f.down&&(m.fillStyle="#ccdcec",
m.fillRect(f.downX+.5,f.downY+.5,f.downW,f.downH-1));m.strokeRect(f.downX+.5,f.downY+.5,f.downW,f.downH-1);f.up&&(m.fillStyle="#ccdcec",m.fillRect(f.upX+.5,f.upY-.5,f.upWidth,f.upHeight+1));m.strokeRect(f.upX+.5,f.upY-.5,f.upWidth,f.upHeight+1);u=4;m.fillStyle="black";m.beginPath();"h"===f.orientation?(m.moveTo(f.downX+u,f.downH/2),m.lineTo(f.downX+f.downW-u,u),m.lineTo(f.downX+f.downW-u,f.downH-u),m.moveTo(f.upX+f.upWidth-u,f.downH/2),m.lineTo(f.upX+u,u),m.lineTo(f.upX+u,f.downH-u),m.fill(),f.activeIfValue&&
(k=g(f.pos),m.fillStyle="#ccdcec",m.fillRect(k+.5,0,g(f.scrollManipulatorW),h),m.strokeStyle="#6382bf",m.strokeRect(k+.5,0,g(f.scrollManipulatorW),h),r=g(f.scrollManipulatorW/2),m.beginPath(),m.moveTo(k+r+.5-2,3),m.lineTo(k+r+.5-2,h-3),m.moveTo(k+r+.5,3),m.lineTo(k+r+.5,h-3),m.moveTo(k+r+.5+2,3),m.lineTo(k+r+.5+2,h-3),m.stroke())):(m.moveTo(f.downX+f.downW/2,f.downY+f.downH-u),m.lineTo(f.downX+u,f.downY+u),m.lineTo(f.downX+f.downW-u,f.downY+u),m.moveTo(f.upX+f.upWidth/2,f.upY+u),m.lineTo(f.upX+u,
f.upY+f.upHeight-u),m.lineTo(f.upX+f.upWidth-u,f.upY+f.upHeight-u),m.fill(),f.activeIfValue&&(k=g(f.pos),m.fillStyle="#ccdcec",m.fillRect(0,k+.5,b,g(f.scrollManipulatorH)),m.strokeStyle="#6382bf",m.strokeRect(0,k+.5,b,g(f.scrollManipulatorH)),r=g(f.scrollManipulatorH/2),m.beginPath(),m.moveTo(3,k+r+.5-2),m.lineTo(b-3,k+r+.5-2),m.moveTo(3,k+r+.5),m.lineTo(b-3,k+r+.5),m.moveTo(3,k+r+.5+2),m.lineTo(b-3,k+r+.5+2),m.stroke()));m.strokeRect(.5,.5,b-1,h-1);f.activeIfValue||(m.fillStyle="rgba(240,240,240,"+
160/255+")",m.fillRect(0,0,b,h.h))};a.Scrollbar.prototype.validateValue=function(a){d=this.evaluator;q=a.toString();q=parseFloat(q.replace(this.parent.decimal_symbol,"."));isNaN(q)&&(q=0);this.minimo=d.eval(this.min);q<this.minimo&&(this.value=null,q=this.minimo);this.maximo=d.eval(this.max);q>this.maximo&&(this.value=null,q=this.maximo);t=this.incr;q=0!=t?q*t/t:0;this.fixed&&(q=parseFloat(parseFloat(q).toFixed(d.eval(this.decimals))));return q};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(){u=(this.evaluator.eval(this.max)-this.evaluator.eval(this.min))/10;"h"==this.orientation?this.clickPos.x>this.prePos&&this.changeValue(parseFloat(this.value)+u):this.clickPos.y<this.prePos&&this.changeValue(parseFloat(this.value)+u)};a.Scrollbar.prototype.decrease10=function(){u=(this.evaluator.eval(this.max)-this.evaluator.eval(this.min))/10;"h"==this.orientation?
this.clickPos.x<this.prePos&&this.changeValue(parseFloat(this.value)-u):this.clickPos.y>this.prePos&&this.changeValue(parseFloat(this.value)-u)};a.Scrollbar.prototype.changeValue=function(a){this.activeIfValue&&(w=this.validateValue(a),w!=this.value&&(this.value=w,this.field.value=this.formatOutputValue(w),this.changeScrollPositionFromValue(),this.prePos=this.pos,this.evaluator.setVariable(this.id,this.value),this.updateAndExecAction()))};a.Scrollbar.prototype.changeValueForScrollMovement=function(){d=
this.evaluator;e=this.scrollManipulatorLimInf;n=this.scrollManipulatorLimSup;l=d.eval(this.min);v=d.eval(this.max);t=this.incr;w=g((this.pos-e)*(v-l)/(n-e)/t)*t+l;w!=this.value&&(this.value=w,this.field.value=this.formatOutputValue(w),d.setVariable(this.id,this.value),this.parent.updateControls(),this.actionExec.execute(),this.parent.update())};a.Scrollbar.prototype.changeScrollPositionFromValue=function(){d=this.evaluator;e=this.scrollManipulatorLimInf;n=this.scrollManipulatorLimSup;l=d.eval(this.min);
v=d.eval(this.max);t=this.incr;this.pos=(this.value-l)*(n-e)/(v-l)+e;"h"==this.orientation?this.scrollManipulator.style.left=this.pos+"px":this.scrollManipulator.style.top=this.pos+"px"};a.Scrollbar.prototype.addEvents=function(){function b(e,c,d,k){a.clearTimeout(p);(n.up||n.down||n.canvasClick)&&1E-7<Math.abs(n.value-k)&&(c.call(n),e=d?e:30,p=a.setTimeout(function(){b(e,c,!1,k)},e))}function e(c){c.preventDefault();n.whichBtn=a.whichBtn(c);"L"==n.whichBtn&&n.activeIfValue&&(n.clickPos=a.getCursorPosition(c,
n.containerControl),n.canvasClick=!0,"h"==n.orientation?n.clickPos.x<n.prePos?b(t,n.decrease10,!0,n.minimo):b(t,n.increase10,!0,n.maximo):n.clickPos.y<n.prePos?b(t,n.increase10,!0,n.maximo):b(t,n.decrease10,!0,n.minimo))}function c(b){n.canvasClick=!1;a.clearTimeout(p)}function d(b){1==n.canvasClick&&(n.clickPos=a.getCursorPosition(b,n.containerControl),b.preventDefault())}function k(a){n.scrollClick=!1;n.prePos=n.pos;window.removeEventListener("mouseup",k,!1);window.removeEventListener("mousemove",
f,!1);a.preventDefault()}function h(a){n.scrollClick=!1;n.prePos=n.pos;window.removeEventListener("touchend",h,!1);window.removeEventListener("touchmove",f,!1);a.preventDefault()}function f(b){var e=a.getCursorPosition(b,n.containerControl);"h"==n.orientation?(n.pos=n.prePos-(n.initPos.x-e.x),n.pos<n.scrollManipulatorLimInf&&(n.pos=n.scrollManipulatorLimInf),n.pos>n.scrollManipulatorLimSup&&(n.pos=n.scrollManipulatorLimSup),n.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+
n.scrollManipulatorW+"px; height : "+n.h+"px; left: "+n.pos+"px; top: 0px;")):(n.pos=n.prePos-(n.initPos.y-e.y),n.pos>n.scrollManipulatorLimInf&&(n.pos=n.scrollManipulatorLimInf),n.pos<n.scrollManipulatorLimSup&&(n.pos=n.scrollManipulatorLimSup),n.scrollManipulator.setAttribute("style","background-color: rgba(255, 255, 255, 0); cursor: pointer; position: absolute; width : "+n.w+"px; height : "+n.scrollManipulatorH+"px; left: 0px; top: "+n.pos+"px;"));n.changeValueForScrollMovement();b.preventDefault()}
function l(e){e.preventDefault();n.whichBtn=a.whichBtn(e);"L"==n.whichBtn&&n.activeIfValue&&(n.up=!0,b(t,n.increase,!0,n.maximo))}function q(e){e.preventDefault();n.whichBtn=a.whichBtn(e);"L"==n.whichBtn&&n.activeIfValue&&(n.down=!0,b(t,n.decrease,!0,n.minimo))}function m(b){n.down=!1;a.clearTimeout(p);b.preventDefault()}function g(b){n.up=!1;a.clearTimeout(p);n.draw()}function r(b){n.down=!1;a.clearTimeout(p);n.draw()}x=a.hasTouchSupport;var n=this,t=x?500:200,p;n.canvas.oncontextmenu=n.divUp.oncontextmenu=
n.divDown.oncontextmenu=n.label.oncontextmenu=n.field.oncontextmenu=n.scrollManipulator.oncontextmenu=function(){return!1};this.field.addEventListener("keydown",function(a){13==a.keyCode&&n.changeValue(n.field.value)});this.canvas.addEventListener("touchstart",e);this.canvas.addEventListener("mousedown",e);this.divDown.addEventListener("mouseout",m);window.addEventListener("touchend",c);window.addEventListener("mouseup",c);this.canvas.addEventListener("touchmove",d);this.canvas.addEventListener("mousemove",
d);this.scrollManipulator.addEventListener("touchstart",function(b){n.activeIfValue&&(n.scrollClick=!0,n.initPos=a.getCursorPosition(b,n.containerControl),window.addEventListener("touchend",h),window.addEventListener("touchmove",f),b.preventDefault())});this.scrollManipulator.addEventListener("mousedown",function(b){n.activeIfValue&&(n.scrollClick=!0,n.initPos=a.getCursorPosition(b,n.containerControl),window.addEventListener("mouseup",k),window.addEventListener("mousemove",f),b.preventDefault())});
this.divUp.addEventListener("touchstart",l);this.divUp.addEventListener("mousedown",l);this.divDown.addEventListener("touchstart",q);this.divDown.addEventListener("mousedown",q);this.divUp.addEventListener("mouseout",function(b){n.up=!1;a.clearTimeout(p);b.preventDefault()});this.divDown.addEventListener("mouseout",m);window.addEventListener("touchend",g);window.addEventListener("mouseup",g);window.addEventListener("touchend",r);window.addEventListener("mouseup",r)};return a}(descartesJS||{}),descartesJS=
function(a){if(a.loadLib)return a;var g;a.Audio=function(d,g){this.controls=!0;this.file="";this.oldDrawIf=0;a.Control.call(this,d,g);var c=this,m=c.evaluator.eval(c.expresion);4==m[0].length?(c.w=m[0][2],c.h=m[0][3]):(c.w=200,c.h=28);c.audio=c.parent.getAudio(c.file);c.autoplay&&(c.audio.setAttribute("autoplay","autoplay"),c.audio.play());c.loop&&c.audio.setAttribute("loop","loop");c.controls&&c.audio.setAttribute("controls","controls");c.audio.setAttribute("style","position: absolute; width: "+
c.w+"px; left: "+c.x+"px; top: "+c.y+"px; z-index: "+c.zIndex+";");c.addControlContainer(c.audio);c.evaluator.setFunction(c.id+".play",function(){c.audio.play();return 0});c.evaluator.setFunction(c.id+".pause",function(){c.audio.pause();return 0});c.evaluator.setFunction(c.id+".stop",function(){c.audio.pause();return c.audio.currentTime=0});c.evaluator.setFunction(c.id+".currentTime",function(a){c.audio.currentTime=parseFloat(a);return 0});c.audio.addEventListener("timeupdate",function(a){c.evaluator.setVariable(c.id+
".currentTime",c.audio.currentTime)})};a.extend(a.Audio,a.Control);a.Audio.prototype.init=function(){this.audio.style.left=this.x+"px";this.audio.style.top=this.y+"px";this.update()};var d;a.Audio.prototype.update=function(){g=this.evaluator;(d=0<g.eval(this.drawif))?this.audio.style.display="block":(this.audio.style.display="none",d!==this.oldDrawIf&&this.audio.pause());this.oldDrawIf=d;this.updatePositionAndSize()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.Video=
function(d,p){this.controls=!0;this.file="";this.oldDrawIf=0;a.Control.call(this,d,p);var c=this;g=c.evaluator;var m=c.evaluator.eval(c.expresion);4==m[0].length?(c.w=m[0][2],c.h=m[0][3]):(c.w=null,c.h=null);var m=c.file,h=m.lastIndexOf(".");-1!=h&&(m=c.file.substring(0,h));c.video=document.createElement("video");c.autoplay&&c.video.setAttribute("autoplay","autoplay");c.loop&&c.video.setAttribute("loop","loop");c.controls&&c.video.setAttribute("controls","controls");c.video.setAttribute("poster",
m+".png");c.w&&(c.video.setAttribute("width",c.w),c.video.setAttribute("height",c.h));c.video.setAttribute("style","position: absolute; overflow: hidden; left: "+c.x+"px; top: "+c.y+"px;");c.video.canPlayType("video/mp4")&&(h=document.createElement("source"),h.setAttribute("src",m+".mp4"),c.video.appendChild(h));c.video.canPlayType("video/ogg")&&(h=document.createElement("source"),h.setAttribute("src",m+".ogg"),h.setAttribute("type","video/ogg"),c.video.appendChild(h),h=document.createElement("source"),
h.setAttribute("src",m+".ogv"),h.setAttribute("type","video/ogg"),c.video.appendChild(h));c.video.canPlayType("video/webm")&&(h=document.createElement("source"),h.setAttribute("src",m+".webm"),h.setAttribute("type","video/webm"),c.video.appendChild(h));c.addControlContainer(c.video);c.evaluator.setFunction(c.id+".play",function(){c.video.play();return 0});c.evaluator.setFunction(c.id+".pause",function(){c.video.pause();return 0});c.evaluator.setFunction(c.id+".stop",function(){c.video.pause();return c.video.currentTime=
0});c.evaluator.setFunction(c.id+".currentTime",function(a){c.video.currentTime=parseFloat(a);return 0});c.video.addEventListener("timeupdate",function(a){c.evaluator.setVariable(c.id+".currentTime",c.video.currentTime)})};a.extend(a.Video,a.Control);a.Video.prototype.init=function(){this.video.style.left=this.x+"px";this.video.style.top=this.y+"px";this.update()};var d;a.Video.prototype.update=function(){g=this.evaluator;(d=0<g.eval(this.drawif))?this.video.style.display="block":(this.video.style.display=
"none",d!==this.oldDrawIf&&this.video.pause());this.oldDrawIf=d;this.updatePositionAndSize()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d;a.TextArea=function(d,g){this.font="Monospaced,PLAIN,12";a.Control.call(this,d,g);this.region="interior";this.tabindex=++this.parent.tabindex;if(this.answer){this.answer.match("krypto_")&&(this.answer=(new a.Krypto).decode(this.answer.substring(7)));var c=this.parent.lessonParser.parseText(this.answer)}this.containerControl=
document.createElement("div");this.textArea=document.createElement("div");this.textAreaAnswer=document.createElement("div");this.showButton=document.createElement("div");this.activeCover=document.createElement("div");this.containerControl.appendChild(this.textArea);this.containerControl.appendChild(this.textAreaAnswer);this.containerControl.appendChild(this.showButton);this.containerControl.appendChild(this.activeCover);this.addControlContainer(this.containerControl);this.showAnswer=!1;this.text=
void 0==this.text||"simpleText"==this.text.type?this.rawText||"":this.text.hasFormula?this.rawText:this.text.toHTML();c&&"simpleText"!=c.type&&(this.answer=this.text.hasFormula?"":c.toHTML());this.evaluator.setVariable(this.id,this.text);this.drawButton();this.addEvents();this.init()};a.extend(a.TextArea,a.Control);a.TextArea.prototype.init=function(){d=this.answer?28:8;g=this.evaluator;var f;f=this.text.match(/<span/)?this.text:this.text.replace(/\\n/g,"<br/>");this.containerControl.setAttribute("class",
"DescartesTextAreaContainer");this.containerControl.setAttribute("style","width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px; z-index: "+this.zIndex+";");this.containerControl.style.display=0<g.eval(this.drawif)?"block":"none";this.containerControl.setAttribute("spellcheck","false");this.textArea.setAttribute("class","DescartesTextAreaContainer");this.textArea.setAttribute("style","width: "+(this.w-8)+"px; height: "+(this.h-d)+"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;' >"+f+"</span>";this.textAreaAnswer.setAttribute("class","DescartesTextAreaContainer");this.textAreaAnswer.setAttribute("style","width: "+(this.w-8)+"px; height: "+(this.h-d)+"px; left: 4px; top: 4px; background-color: white; text-align: left; font: "+a.convertFont(this.font)+";");this.textAreaAnswer.style.display=
this.showAnswer?"block":"none";this.textAreaAnswer.innerHTML="<span style='position: relative; top: 10px; left: 10px; white-space: nowrap;'>"+this.answer+"</span>";this.showButton.setAttribute("style","width: 20px; height: 16px; position: absolute; bottom: 4px; right: 4px; cursor: pointer;");this.showButton.style.backgroundImage="url("+this.imageUnPush+")";this.showButton.style.display=this.answer?"block":"none";this.showButton.innerHTML="<span style='position: relative; top: 2px; text-align: center; font: 9px Arial'> S </span>";
this.activeCover.setAttribute("style","position: absolute; width: "+this.w+"px; height: "+this.h+"px; left: "+this.x+"px; top: "+this.y+"px;");this.update()};a.TextArea.prototype.drawButton=function(){var d=document.createElement("canvas");d.setAttribute("width",20);d.setAttribute("height",16);var g=d.getContext("2d");g.imageSmoothingEnabled=!1;this.canvas=d;this.ctx=g;this.createGradient(20,16);g.lineWidth=1;g.fillStyle="white";g.fillRect(0,0,20,16);g.fillStyle=this.linearGradient;g.fillRect(0,0,
20,16);a.drawLine(g,19,0,19,16,"rgba(0,0,0,"+128/255+")");a.drawLine(g,0,0,0,16,"rgba(0,0,0,"+24/255+")");a.drawLine(g,1,0,1,16,"rgba(0,0,0,"+8/255+")");this.imageUnPush=d.toDataURL();g.fillStyle="white";g.fillRect(0,0,20,16);g.fillStyle=this.linearGradient;g.fillRect(0,0,20,16);a.drawLine(g,0,0,0,14,"gray");a.drawLine(g,0,0,19,0,"gray");g.fillStyle="rgba(0, 0, 0,"+24/255+")";g.fillRect(0,0,this.w,this.h);this.imagePush=d.toDataURL()};a.TextArea.prototype.update=function(){g=this.evaluator;this.activeIfValue=
0<g.eval(this.activeif);this.drawIfValue=0<g.eval(this.drawif);var a;a=this.text.match(/<span/)?this.rawText:this.text;g.setVariable(this.id,a);this.activeCover.style.display=this.activeIfValue?"none":"block";this.containerControl.style.display=this.drawIfValue?"block":"none";this.updatePositionAndSize()};a.TextArea.prototype.addEvents=function(){function a(c){c.preventDefault();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 g=2*Math.PI,d,f,p,c,m,h,b,u,k,r;a.GraphicControl=function(b,c){f=b.evaluator.parser;this.text=this.spaceID="";this.size=f.parse("4");this.font="Monospaced,PLAIN,12";this.image=new Image;this.image.onload=function(){this.ready=1};this.imageSrc="";a.Control.call(this,b,c);this.touchId=null;this.font=a.convertFont(this.font);
if(this.constraintExpr){this.constraint=f.parse(this.constraintExpr);"(expr)"==this.constraint.type&&(this.constraint=f.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.constVar="y",this.noConstVar="x",this.evalConst=
this.evalConstXoY,this.constraint=e):(this.constVar="x",this.noConstVar="y",this.evalConst=this.evalConstXoY,this.constraint=e)}else this.constraint=null;u=new a.R2(0,0)}this.container=this.getContainer();this.mouseCacher=document.createElement("div");this.mouseCacher.setAttribute("class","DescartesGraphicControl");this.mouseCacher.setAttribute("id",this.id);this.mouseCacher.setAttribute("dragged",!0);this.mouseCacher.setAttribute("tabindex","-1");this.ctx=this.space.ctx;this.container.appendChild(this.mouseCacher);
this.addEvents();this.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(){d=this.evaluator;k=a.hasTouchSupport;var b=d.eval(this.expresion);this.x=b[0][0];this.y=b[0][1];d.setVariable(this.xString,this.x);d.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*d.eval(this.size),this.height=2*d.eval(this.size),this._w=k&&48>this.width?48:this.width,this._h=
k&&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";d.setVariable(this.activoString,0);d.setVariable(this.activeString,0);this.setImage=!1;this.update()};a.GraphicControl.prototype.update=function(){d=this.evaluator;this.activeIfValue=0<d.eval(this.activeif);this.drawIfValue=0<d.eval(this.drawif);this.x=d.getVariable(this.xString);this.y=d.getVariable(this.yString);p=this.space.getAbsoluteX(this.x);c=this.space.getAbsoluteY(this.y);this.mouseCacher.style.display=this.activeIfValue?"block":"none";this.mouseCacher.style.left=parseInt(p-
this._w/2)+"px";this.mouseCacher.style.top=parseInt(c-this._h/2)+"px";this.constraint&&this.evalConst();this.draw()};a.GraphicControl.prototype.draw=function(){d=this.evaluator;this.drawIfValue&&(h=this.ctx,b=this.space.backgroundCtx,p=parseInt(this.space.getAbsoluteX(this.x))+.5,c=parseInt(this.space.getAbsoluteY(this.y))+.5,""!=this.text&&this.drawText(p,c),this.image.ready?(this.image.complete&&!this.setImage&&h.drawImage(this.image,parseInt(p-this.image.width/2),parseInt(c-this.image.height/2)),
this.trace&&(b.save(),b.translate(p,c),b.scale(parseInt(this.image.width/2),parseInt(this.image.height/2)),b.beginPath(),b.arc(0,0,1,0,g,!1),b.restore(),b.lineWidth=1,b.strokeStyle=this.trace.getColor(),b.stroke())):(h.beginPath(),h.arc(p,c,parseInt(this.width/2),0,g,!1),h.fillStyle=this.colorInt.getColor(),h.fill(),h.lineWidth=1,h.strokeStyle=this.color.getColor(),h.stroke(),this.active&&(h.beginPath(),h.arc(p,c,parseInt(this.width/2)-2,0,g,!1),h.strokeStyle=this.colorInt.borderColor(),h.stroke()),
this.trace&&(b.lineWidth=1,b.strokeStyle=this.trace.getColor(),b.beginPath(),b.arc(p,c,parseInt(this.width/2),0,g,!1),b.stroke())))};a.GraphicControl.prototype.evalConst=function(){u.set(this.x,this.y);m=this.newt.findZero(u,1/this.space.scale,!0);this.x=m.x;this.y=m.y;this.evaluator.setVariable(this.xString,this.x);this.evaluator.setVariable(this.yString,this.y)};a.GraphicControl.prototype.evalConstXoY=function(){d=this.evaluator;r=d.getVariable(this.constVar);d.setVariable(this.constVar,this[this.constVar]);
this[this.noConstVar]=d.eval(this.constraint);d.setVariable(this.xString,this.x);d.setVariable(this.yString,this.y);d.setVariable(this.constVar,r)};a.GraphicControl.prototype.drawText=function(a,b){h=this.ctx;d=this.evaluator;"simpleText"==this.text.type?(h.fillStyle=this.color.getColor(),h.font=this.font,h.textBaseline="alphabetic",h.fillText(this.text.toString(d.eval(this.decimals),this.fixed),parseInt(a+1+this.width/2),parseInt(b-1-this.height/2))):(h.fillStyle=this.color.getColor(),h.strokeStyle=
this.color.getColor(),h.textBaseline="alphabetic",this.text.draw(h,parseInt(a+1+this.width/2),parseInt(b-1-this.height/2),this.decimals,this.fixed,"start",!0,this.color.getColor()))};a.GraphicControl.prototype.getContainer=function(){for(var a=this.parent.spaces,b,c=0,e=a.length;c<e;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);this.evaluator.setVariable(this.mclicizquierdoString,0)};a.GraphicControl.prototype.addEvents=function(){function b(d){document.body.focus();d.preventDefault();d.stopPropagation();e.touchId=null;e.evaluator.setVariable(e.mclickedString,1);e.evaluator.setVariable(e.mclicizquierdoString,1);if(e.activeIfValue||e.active)e.click=!1,window.removeEventListener("touchmove",c,!1),window.removeEventListener("touchend",
b,!1),window.removeEventListener("mouseup",b,!1),window.removeEventListener("mousemove",c,!1),k=a.getCursorPosition(d,e.container),e.posX=e.prePos.x-(e.posAnte.x-k.x),e.posY=e.prePos.y-(e.posAnte.y-k.y),e.evaluator.setVariable(e.xString,e.space.getRelativeX(e.posX)),e.evaluator.setVariable(e.yString,e.space.getRelativeY(e.posY)),e.evaluator.setVariable(e.mxString,e.space.getRelativeX(k.x)),e.evaluator.setVariable(e.myString,e.space.getRelativeY(k.y)),e.parent.update(),e.mouseCacher.style.left=e.space.getAbsoluteX(e.x)-
e._w/2+"px",e.mouseCacher.style.top=e.space.getAbsoluteY(e.y)-e._h/2+"px";e.parent.deactivateGraphiControls()}function c(b){b.preventDefault();b.touchId=e.touchId;e.evaluator.setVariable(e.mclickedString,0);e.evaluator.setVariable(e.mclicizquierdoString,0);k=a.getCursorPosition(b,e.container);e.posX=e.prePos.x-(e.posAnte.x-k.x);e.posY=e.prePos.y-(e.posAnte.y-k.y);e.evaluator.setVariable(e.xString,e.space.getRelativeX(e.posX));e.evaluator.setVariable(e.yString,e.space.getRelativeY(e.posY));e.evaluator.setVariable(e.mxString,
e.space.getRelativeX(k.x));e.evaluator.setVariable(e.myString,e.space.getRelativeY(k.y));10<Date.now()-d&&(e.parent.updateControls(),e.parent.update(),d=Date.now())}var d=0,e=this;this.active=this.over=this.click=!1;this.mouseCacher.oncontextmenu=function(){return!1};this.mouseCacher.addEventListener("touchstart",function(d){document.body.focus();d.preventDefault();e.activeIfValue&&(e.parent.deactivateGraphiControls(),e.click=!0,e.active=!0,e.evaluator.setVariable(e.activoString,1),e.evaluator.setVariable(e.activeString,
1),e.evaluator.setVariable(e.mclickedString,0),e.evaluator.setVariable(e.mclicizquierdoString,0),e.posAnte=a.getCursorPosition(d,e.container),e.prePos={x:e.space.getAbsoluteX(e.x),y:e.space.getAbsoluteY(e.y)},e.evaluator.setVariable(e.mxString,e.space.getRelativeX(e.posAnte.x)),e.evaluator.setVariable(e.myString,e.space.getRelativeY(e.posAnte.y)),e.parent.update(),window.addEventListener("touchmove",c),window.addEventListener("touchend",b))});this.mouseCacher.addEventListener("mousedown",function(d){document.body.focus();
d.preventDefault();e.whichBtn=a.whichBtn(d);"L"==e.whichBtn&&e.activeIfValue&&e.over&&(e.parent.deactivateGraphiControls(),e.click=!0,e.active=!0,e.evaluator.setVariable(e.activoString,1),e.evaluator.setVariable(e.activeString,1),e.evaluator.setVariable(e.mclickedString,0),e.evaluator.setVariable(e.mclicizquierdoString,0),e.posAnte=a.getCursorPosition(d,e.container),e.prePos={x:e.space.getAbsoluteX(e.x),y:e.space.getAbsoluteY(e.y)},e.evaluator.setVariable(e.mxString,e.space.getRelativeX(e.posAnte.x)),
e.evaluator.setVariable(e.myString,e.space.getRelativeY(e.posAnte.y)),e.parent.update(),window.addEventListener("mouseup",b),window.addEventListener("mousemove",c))});this.mouseCacher.addEventListener("mouseover",function(a){e.over=!0});this.mouseCacher.addEventListener("mouseout",function(a){e.over=!1;e.click=!1});var k};return a}(descartesJS||{}),descartesJS=function(a,g){var d,f,p,c,m,h,b,u,k,r;if(a.loadLib)return a;var q,t,w,e,n,l,v,x,B=/[\w-//]*(\.png|\.jpg|\.gif|\.svg)/gi,D,C,E,F,G,J,A,z,H,
I,M,y,L,K,N,T,O,U,R,P,Q;a.LessonParser=function(b){this.parent=b;this.parser=b.evaluator.parser;this.RTFparser=new a.RTFParser(b.evaluator)};a.LessonParser.prototype.parseButtonsConfig=function(a){var b={rowsNorth:0,rowsSouth:0,widthEast:125,widthWest:125,height:23};a=this.split(a);for(var c=0,d=a.length;c<d;c++)switch(w=a[c][0],e=a[c][1],t=g[w],t){case "rowsNorth":case "rowsSouth":case "widthEast":case "widthWest":case "height":b[t]=parseInt(e);break;case "about":case "config":case "init":case "clear":b[t]=
"true"===g[e];break;default:console.log("Propiedad de botones no identificada: <"+w+"> valor: <"+e+">")}return b};a.LessonParser.prototype.parseSpace=function(b){n={};b=this.split(b);for(var c=0,d=b.length;c<d;c++)switch(w=b[c][0],e=b[c][1],t=g[w],t){case "type":case "id":case "cID":case "file":n[t]=e;break;case "fixed":case "numbers":case "sensitive_to_mouse_movements":case "R3":case "split":n[t]="true"===g[e];break;case "bg_display":case "render":n[t]=g[e];break;case "net":case "net10":case "axes":case "text":n[t]=
""!=e?"false"===g[e]?"":new a.Color(e,this.parent.evaluator):"";break;case "x_axis":case "y_axis":n[t]="false"===g[e]?"":e;break;case "O.x":n.OxExpr=e;break;case "O.y":n.OyExpr=e;break;case "image":n.imageSrc=e;break;case "x":q=e;q="%"===q[q.length-1]?(this.parent.container.width*parseFloat(q)/100).toString():e;n.xExpr=this.parser.parse(q);break;case "y":q=e;q="%"===q[q.length-1]?(this.parent.container.height*parseFloat(q)/100).toString():e;n.yExpr=this.parser.parse(q);break;case "width":q=e.trim();
"%"===q[q.length-1]?(n.wExpr=q,q=this.parent.container.width*parseFloat(q)/100):(q=parseFloat(e),q!=e&&(q=this.parent.container.width,n._w_=e.trim()));n.w=q;break;case "height":q=e.trim();"%"===q[q.length-1]?(n.hExpr=q,q=this.parent.container.height*parseFloat(q)/100):(q=parseFloat(e),q!=e&&(q=this.parent.container.height,n._h_=e.trim()));n.h=q;break;case "drawif":""!=e&&(n.drawif=this.parser.parse(e));break;case "scale":q=parseFloat(e);isNaN(q)&&(q=48);n.scale=q;break;case "background":n.background=
new a.Color(e,this.parent.evaluator);break;default:console.log("Propiedad del espacio no identificada: <"+w+"> valor: <"+e+">")}switch(n.type){case "R2":return new a.Space2D(this.parent,n);case "R3":return new a.Space3D(this.parent,n);case "AP":return new a.SpaceAP(this.parent,n);case "HTMLIFrame":return new a.SpaceHTML_IFrame(this.parent,n);default:return new a.Space2D(this.parent,n)}};a.LessonParser.prototype.parseControl=function(b){l={type:"numeric"};b=this.split(b);for(var c=0,d=b.length;c<d;c++)switch(w=
b[c][0],e=b[c][1],t=g[w],t){case "id":case "name":case "parameter":case "tooltip":case "tooltipFont":case "Explanation":case "ExplanationFont":case "cID":case "options":case "font":case "file":case "answer":l[t]=e;break;case "gui":case "region":case "action":case "msg_pos":case "poster":l[t]=g[e];break;case "fixed":case "visible":case "discrete":case "onlyText":case "evaluate":case "autoplay":case "loop":case "controls":l[t]="true"===g[e];break;case "color":case "colorInt":case "trace":l[t]=new a.Color(e,
this.parent.evaluator);break;case "font_size":case "drawif":case "activeif":case "decimals":case "min":case "max":case "size":""!=e&&(l[t]=this.parser.parse(e));break;case "constraint":l.constraintExpr=e;break;case "image":l.imageSrc=e;break;case "space":l.spaceID=e;break;case "type":l.type=g[e.trim()];break;case "expresion":l.expresion=this.parser.parse(e.replace(")(",","));break;case "bold":"false"!=g[e]&&(l.bold="bold");break;case "italics":"false"!=g[e]&&(l.italics="italic");break;case "underlined":"false"!=
g[e]&&(l.underlined=!0);break;case "value":var k=e.replace(/&squot;/g,"'");k.match(/^\|/)&&(k="'"+k.substring(1),k.match(/\|$/)&&(k=k.substring(0,k.length-1)+"'"));l.valueExpr=this.parser.parse(k);l.valueExprString=k;break;case "incr":0!=e&&(l.incr=this.parser.parse(e));break;case "exponentialif":l.exponentialif=parseFloat(e);break;case "text":l.rawText=e;for(var k=this.parseText(e),h=0,f=k.length;h<f;h++)k[h]=this.parser.parse(k[h],!1);l.text=k;break;default:h=w.indexOf(".");k=g[w.substring(0,h)];
h=g[w.substring(h+1)];if("parameter"===k&&"font"===h){l.parameterFont=e;break}else if("Explanation"===k&&"font"===h){l.ExplanationFont=e;break}else if("tooltip"===k&&"font"===h){l.tooltipFont=e;break}console.log("Propiedad de control no identificada: <"+w+"> valor: <"+e+">")}if("numeric"===l.type)switch(l.gui){case "spinner":return new a.Spinner(this.parent,l);case "button":return new a.Button(this.parent,l);case "textfield":return new a.TextField(this.parent,l);case "menu":return new a.Menu(this.parent,
l);case "scrollbar":return new a.Scrollbar(this.parent,l);default:return new a.Spinner(this.parent,l)}else{if("video"===l.type)return new a.Video(this.parent,l);if("audio"===l.type)return new a.Audio(this.parent,l);if("graphic"===l.type)return new a.GraphicControl(this.parent,l);if("text"===l.type)return new a.TextArea(this.parent,l)}};a.LessonParser.prototype.parseGraphic=function(b,c,d,k){v={rotateExp:k,parameter:"t"};b=this.split(b);k=0;for(var h=b.length;k<h;k++)if(w=b[k][0],e=b[k][1],t=g[w],
""!=e)switch(t){case "type":case "align":v[t]=g[e];break;case "background":case "abs_coord":case "visible":case "editable":case "fixed":case "vectors":v[t]="true"===g[e];break;case "color":case "fill":case "fillP":case "fillM":case "arrow":case "trace":v[t]="false"===g[e]?"":new a.Color(e,this.parent.evaluator);break;case "family":case "parameter":case "info":case "font":case "name":case "init":case "end":v[t]=e;break;case "drawif":case "width":case "decimals":case "size":case "spear":case "center":case "radius":case "opacity":case "inirot":case "inipos":case "range":""!=
e&&(v[t]=this.parser.parse(e));break;case "space":v.spaceID=e;break;case "expresion":""!=e&&("macro"!=v.type?(v.expresion=this.parser.parse(e),v.expresionString=e):v.expresion=e);break;case "text":v.text=this.parseText(e);break;case "file":var f=e.replace(/&squot;/g,"'");"["===f.charAt(0)&&"]"===f.charAt(f.length-1)&&(f=f.substring(1,f.length-1));f.match(B)&&(f="'"+f+"'");v.file=this.parser.parse(f);break;case "border":""!=e&&"false"!=g[e]&&(v.border=new a.Color(e,this.parent.evaluator));break;default:if(void 0!=
v.family&&w.substring(0,v.family.length+1)===v.family+"."){switch(g[w.substring(v.family.length+1)]){case "interval":""!=e&&(v.family_interval=this.parser.parse(e));break;case "steps":""!=e&&(v.family_steps=this.parser.parse(e))}break}if(void 0!=v.parameter&&w.match(v.parameter+".")){v.parameter!==w.substring(0,w.indexOf(v.parameter)+v.parameter.length)&&(v.parameter=w.substring(0,w.indexOf(v.parameter)+v.parameter.length));switch(g[w.substring(v.parameter.length+1)]){case "interval":""!=e&&(v.parameter_interval=
this.parser.parse(e));break;case "steps":""!=e&&(v.parameter_steps=this.parser.parse(e))}break}console.log("Propiedad del grafico no identificada: <"+w+"> valor: <"+e+">")}c&&(v.abs_coord=c);d&&(v.background=d);switch(v.type){case "text":return new a.Text(this.parent,v);case "image":return new a.Image(this.parent,v);case "point":return new a.Point(this.parent,v);case "polygon":return new a.Polygon(this.parent,v);case "arc":return new a.Arc(this.parent,v);case "segment":return new a.Segment(this.parent,
v);case "arrow":return new a.Arrow(this.parent,v);case "macro":return new a.Macro(this.parent,v);case "curve":return new a.Curve(this.parent,v);case "equation":return new a.Equation(this.parent,v);case "sequence":return new a.Sequence(this.parent,v);case "fill":return new a.Fill(this.parent,v)}};a.LessonParser.prototype.parse3DGraphic=function(b,c,d,k){v={rotateExp:k,parameter:"t"};b=this.split(b);c=0;for(d=b.length;c<d;c++)switch(w=b[c][0],e=b[c][1],t=g[w],t){case "type":case "model":v[t]=g[e];break;
case "background":case "fixed":case "edges":v[t]="true"===g[e];break;case "color":case "backcolor":v[t]=new a.Color(e,this.parent.evaluator);break;case "type":case "model":v[t]=g[e];break;case "background":case "fixed":case "edges":case "split":v[t]="true"===g[e];break;case "color":case "backcolor":v[t]=new a.Color(e,this.parent.evaluator);break;case "drawif":case "width":case "length":case "height":case "decimals":case "Nu":case "Nv":case "inipos":case "endpos":""!=e&&(v[t]=this.parser.parse(e));
break;case "family":case "parameter":case "font":case "name":case "inirot":case "endrot":v[t]=e;break;case "space":v.spaceID=e;break;case "expresion":"macro"!=v.type&&"curve"!=v.type&&"surface"!=v.type?(v.expresion=this.parser.parse(e),v.expresionString=e):v.expresion=e.replace(/\\n/g," ").replace(/;/g," ");break;case "text":k=this.parseText(e);for(var h=0,f=k.length;h<f;h++)k[h]=this.parser.parse(k[h],!1);v.text=k;break;case "file":k=e.replace(/&squot;/g,"'");"["===k.charAt(0)&&"]"===k.charAt(k.length-
1)&&(k=k.substring(1,k.length-1));k.match(/./)&&(k="'"+k+"'");v.file=this.parser.parse(k);break;case "drawif":case "width":case "length":case "decimals":case "Nu":case "Nv":case "inirot":case "endrot":case "inipos":case "endpos":""!=e&&(v[t]=this.parser.parse(e));break;case "family":case "parameter":case "font":case "name":v[t]=e;break;case "space":v.spaceID=e;break;case "expresion":"macro"!=v.type&&"curve"!=v.type&&"surface"!=v.type?(v.expresion=this.parser.parse(e),v.expresionString=e):v.expresion=
e;break;case "text":k=this.parseText(e);h=0;for(f=k.length;h<f;h++)k[h]=this.parser.parse(k[h],!1);v.text=k;break;case "file":k=e.replace(/&squot;/g,"'");"["===k.charAt(0)&&"]"===k.charAt(k.length-1)&&(k=k.substring(1,k.length-1));k.match(/./)&&(k="'"+k+"'");v.file=this.parser.parse(k);break;default:if(void 0!==v.family&&w.substring(0,v.family.length+1)===v.family+"."){"interval"===g[w.substring(v.family.length+1)]?""!=e&&(v.family_interval=this.parser.parse(e)):""!=e&&(v.family_steps=this.parser.parse(e));
break}console.log("Propiedad del grafico 3D no identificada: <"+w+"> valor: <"+e+">")}switch(v.type){case "point":return new a.Point3D(this.parent,v);case "segment":return new a.Segment3D(this.parent,v);case "polygon":return new a.Polygon3D(this.parent,v);case "curve":return new a.Curve3D(this.parent,v);case "triangle":return new a.Triangle3D(this.parent,v);case "face":return new a.Face3D(this.parent,v);case "polireg":return new a.Polireg3D(this.parent,v);case "surface":return new a.Surface3D(this.parent,
v);case "text":return new a.Text3D(this.parent,v);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,v);case "macro":return new a.Macro3D(this.parent,v)}};a.LessonParser.prototype.parseAuxiliar=function(b){x={};b=this.split(b);for(var c=0,d=b.length;c<d;c++)b[c][1]=b[c][1].replace(/&squot;/g,"'");c=0;for(d=b.length;c<d;c++)switch(w=b[c][0],e=
b[c][1],t=g[w],t){case "id":case "file":case "init":case "doExpr":case "whileExpr":case "range":case "local":case "expresion":case "condition":case "parameter":x[t]=e.replace(/&squot;/g,"'");break;case "editable":case "constant":case "array":case "matrix":case "algorithm":case "event":case "sequence":x[t]="true"===g[e];break;case "size":case "rows":case "columns":x[t]=this.parser.parse(e);break;case "evaluate":case "execution":case "msg_pos":case "action":x[t]=g[e];break;case "type":x[t]=g[e];break;
case "x":case "y":case "width":case "height":x[t]=this.parser.parse(e);break;default:var k=w.indexOf("."),h=g[w.substring(0,k)],k=g[w.substring(k+1)];if("parameter"===h&&"font"===k){x.parameterFont=e;break}console.log("Propiedad del auxiliar no identificada: <"+w+"> valor: <"+e+">")}x.sequence?new a.Function(this.parent,x):x.constant?(b=new a.Constant(this.parent,x),x.evaluate&&"always"===x.evaluate&&this.parent.auxiliaries.push(b)):x.algorithm&&x.evaluate?(b=new a.Algorithm(this.parent,x),this.parent.auxiliaries.push(b)):
x.array&&!x.matrix&&")"!=x.id.charAt(x.id.length-1)?(b=new a.Vector(this.parent,x),x.evaluate&&"always"===x.evaluate&&this.parent.auxiliaries.push(b)):x.matrix&&")"!=x.id.charAt(x.id.length-1)?(b=new a.Matrix(this.parent,x),x.evaluate&&"always"===x.evaluate&&this.parent.auxiliaries.push(b)):x.event&&")"!=x.id.charAt(x.id.length-1)?this.parent.events.push(new a.Event(this.parent,x)):")"===x.id.charAt(x.id.length-1)?new a.Function(this.parent,x):new a.Variable(this.parent,x)};a.LessonParser.prototype.parseAction=
function(b){D=b.action;C=b.parent;E=b.parameter;if(D)switch(D){case "message":return new a.Message(C,E);case "calculate":return new a.Calculate(C,E);case "openURL":return new a.OpenURL(C,E);case "openScene":return new a.OpenScene(C,E);case "about":return new a.About(C,E);case "config":return new a.Config(C,E);case "init":return new a.Init(C,E);case "clear":return new a.Clear(C,E);case "animate":return new a.Animate(C,E);case "initAnimation":return new a.InitAnimation(C,E);case "playAudio":return new a.PlayAudio(C,
E);default:console.log("Accion no soportada: <"+D+">")}else return{execute:function(){}}};a.LessonParser.prototype.parseAnimation=function(b){var c={};b=this.split(b);for(var d=0,k=b.length;d<k;d++)switch(w=b[d][0],e=b[d][1],t=g[w],t){case "id":case "delay":case "init":case "doExpr":case "whileExpr":c[t]=e.replace(/&squot;/g,"'");break;case "controls":case "auto":case "loop":case "algorithm":case "evaluate":c[t]="true"===g[e];break;default:console.log("Propiedad de la animacion no identificada: <"+
w+">  <"+e+">")}return new a.Animation(this.parent,c)};a.LessonParser.prototype.parsePleca=function(l,g){l=this.split(l);f=d="";p=0;c="#536891";m="white";h="left";b="";u="SansSerif,BOLD,20";k="SansSerif,PLAIN,18";r=void 0;for(var q=0,n=l.length;q<n;q++)switch(w=l[q][0],e=l[q][1],w){case "title":d=e;break;case "subtitle":f=e;break;case "subtitlines":p=e;break;case "bgcolor":""!=e&&(c=(new a.Color(e,this.parent.evaluator)).getColor());break;case "fgcolor":""!=e&&(m=(new a.Color(e,this.parent.evaluator)).getColor());
break;case "align":""!=e&&(h=e);break;case "titleimage":b=e;break;case "titlefont":u=""!=e?a.convertFont(e):a.convertFont(u);break;case "subtitlefont":k=""!=e?a.convertFont(e):a.convertFont(k);break;default:console.log("Propiedad de la pleca no identificada: <"+w+">  <"+e+">")}if(""===d&&""===f)return document.createElement("div");I=k.substring(0,k.indexOf("px"));I=I.substring(I.lastIndexOf(" "));""!=b&&(M=this.parent.getImage(b),y=M.height);r=document.createElement("div");r.setAttribute("id","descartesPleca");
y?(r.setAttribute("style","position:absolute;left:0;top:0;text-align:"+h+";width:"+(g-30)+"px;height:"+(y-16)+"px;background:"+c+";color:"+m+";padding-top:8px;padding-bottom:8px;padding-left:15px;padding-right:15px;margin:0;overflow:hidden;z-index:100;"),M.setAttribute("style","position: absolute;left:0;top:0;z-index:-1;width:100%;height:100%;"),r.appendChild(M)):r.setAttribute("style","position:absolute;left:0;top:0;text-align:"+h+";width:"+(g-30)+"px;background:"+c+";color:"+m+";padding-top:12px;padding-bottom:12px;padding-left:15px;padding-right:15px;margin:0;z-index:100;");
L=document.createElement("div");L.setAttribute("style","padding:0;margin:0;font:"+u+";overflow:hidden;white-space:nowrap;");L.innerHTML=d;K=document.createElement("div");if(1===parseInt(p)){R=0;N=document.createElement("div");N.innerHTML=f;document.body.appendChild(N);O=I;do O-=R,N.setAttribute("style","padding:0;margin:0;font:"+k+";font-size:"+O+"px;width:"+(g-30)+"px;line-height:"+O+"px;"),T=N.offsetHeight,U=T/O,R=1;while(1<U&&8<O);document.body.removeChild(N);K.setAttribute("style","padding:0;margin:0;font:"+
k+";font-size:"+O+"px;line-height: 110%;overflow:hidden;white-space:nowrap;")}else K.setAttribute("style","padding:0;margin:0;font:"+k+";line-height:110%;");K.innerHTML=f;r.appendChild(L);r.appendChild(K);r.imageHeight=y;return r};a.LessonParser.prototype.split=function(a){if("string"!=typeof a)return[];a=(a||"").replace(/\\'/g,"\u2019");F=[];J=G=0;A=!1;z=0;for(H=!1;G<a.length;)" "!==a.charAt(G)||A||G++," "===a.charAt(G)||A||(A=!0,z=G),"="!==a.charAt(G)||"'"!==a.charAt(G+1)||H||(H=!0,F[J]=[a.substring(z,
G)],z=G+2,G+=2),H&&"'"===a.charAt(G)&&(A=H=!1,F[J].push(a.substring(z,G)),J++),"="!==a.charAt(G)||"'"===a.charAt(G+1)||H||(F[J]=[a.substring(z,G)],z=G+1,G++,P=a.substring(G).indexOf("="),-1===P?Q=P=a.length:(P+=G,Q=a.substring(G,P).lastIndexOf(" "),Q=-1===Q?a.length:Q+G),F[J].push(a.substring(z,Q)),J++,A=!1,G=Q),G++;return F};a.LessonParser.prototype.parseText=function(b){b=b||"";return b.match(/^\{\\rtf1/)?this.RTFparser.parse(b.substring(10)):new a.SimpleText(this.parent,b)};return a}(descartesJS||
{},babel),descartesJS=function(a){function g(a,b){w=[];w.type="matrix";w.rows=a;w.cols=b;var c;n=0;for(l=b;n<l;n++){c=[];e=0;for(v=a;e<v;e++)c.push(0);w[n]=c}return w}function d(a,b){q=a.rows;t=a.cols;w=g(q,t);var c;for(n=0;n<q;n++)for(e=0;e<t;e++){for(l=c=0;l<t;l++)c+=a[l][n]*b[e][l];w[e][n]=c}return w}function f(a,b,e){for(var c=g(e.length-1,e.length-1),d=0,k=c.length;d<k;d++)for(var h=0;h<k;h++)c[d][h]=d<a?h<b?e[d][h]:e[d][h+1]:d<b?e[d+1][h]:e[d+1][h+1];return c}function p(a){if(1<a.cols){for(var b=
0,e=1,c=0,d=a.cols;c<d;c++)b+=e*a[0][c]*p(f(0,c,a)),e=-e;return b}return a[0][0]}if(a.loadLib)return a;var c,m={},h=Math.floor,b,u,k,r;a.fullDecimals=!1;a.Node=function(a,b){this.sep="";this.type=a;this.value=b;this.parent=null;this.childs=[]};a.Node.prototype.getRoot=function(){return null===this.parent?this:this.parent.getRoot()};a.Node.prototype.addChild=function(a){a.parent=this;this.childs.push(a)};a.Node.prototype.replaceLastChild=function(a){b=this.childs.length-1;lastChild=this.childs[b];
lastChild.parent=null;this.childs[b]=a;a.parent=this;return a};a.Node.prototype.contains=function(a){if(this.value===a)return!0;for(var b=0,e=this.childs.length;b<e;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="-",k=new a.Node("compOperator","=="),r=new a.Node("number","0"),k.addChild(this),k.addChild(r),u=this.getRoot(),u.setAllEvalFun(),u):this};a.Node.prototype.setAllEvalFun=function(){this.setEvalFun();
for(var a=0,b=this.childs.length;a<b;a++)this.childs[a].setAllEvalFun()};a.Node.prototype.setEvalFun=function(){if("number"===this.type)this.evaluate=function(a){return parseFloat(this.value)};else if("string"===this.type)this.evaluate=function(a){return this.value};else if("identifier"===this.type&&0===this.childs.length)if("rnd"==this.value)this.evaluate=function(a){return Math.random()};else{var a;this.evaluate=function(b,e){a=b.variables[this.value];if("object"===typeof a&&void 0==a.length)return a.evaluate(b);
void 0==a&&(e||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 b,k;this.evaluate=function(a){b=this.childs[0].childs[0].evaluate(a);try{return k=a.vectors[this.value][0>b?0:h(b)],void 0!==k?k:0}catch(e){return 0}}}else if("identifier"===this.type&&"square_bracket"===this.childs[0].type&&1<this.childs[0].childs.length){var l,
r;this.evaluate=function(a){l=this.childs[0].childs[0].evaluate(a);r=this.childs[0].childs[1].evaluate(a);try{return k=a.matrices[this.value][0>l?0:h(l)][0>r?0:h(r)],void 0!==k?k:0}catch(b){return 0}}}else if("identifier"===this.type&&"parentheses"===this.childs[0].type){var u,v,J;this.evaluate=function(a){u=[];for(var b=0,e=this.childs[0].childs.length;b<e;b++)u[b]=this.childs[0].childs[b].evaluate(a);if("_Eval_"===this.value){c=0<u.length?u[0]:0;if("number"==typeof c)return"NaN";c.match(",")&&parseFloat(c.replace(",",
"."))==c.replace(",",".")&&(c="'"+c+"'");void 0==m[c]&&(v=c.match(/:=/g)?!0:!1,m[c]=a.parser.parse(c,v));J=a.eval(m[c]);return void 0!=J?J:NaN}return a.functions[this.value].apply(a,u)}}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;q=b.rows;t=b.cols;w=g(q,t);for(n=0;n<q;n++)for(e=0;e<t;e++)w[e][n]=b[e][n]+a[e][n];return w}:"-"===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;q=b.rows;t=b.cols;w=g(q,t);for(n=0;n<q;n++)for(e=0;e<t;e++)w[e][n]=b[e][n]-a[e][n];return w}:"*"===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:d(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 e=g(a.length,a.length),c=p(a);if(0===c)a=0;else{var c=1/c,k;if(1<a.length)for(var h=0,l=a.length;h<l;h++){k=c;for(var q=0;q<l;q++)e[q][h]=k*p(f(h,q,a)),k=-k;c=-c}else e[0][0]=c;a=e}b=0===a?g(b.rows,b.cols):d(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-h(b/a)*a}:"^"===this.value&&(this.evaluate=function(a){return Math.pow(this.childs[0].evaluate(a),this.childs[1].evaluate(a))});
else if("compOperator"===this.type)"<"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)<this.childs[1].evaluate(a)?1:0}:"<="===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)<=this.childs[1].evaluate(a)?1:0}:">"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)>this.childs[1].evaluate(a)?1:0}:">="===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)>=this.childs[1].evaluate(a)?1:0}:"=="===this.value?this.evaluate=
function(a){return this.childs[0].evaluate(a)===this.childs[1].evaluate(a)?1:0}:"!="===this.value&&(this.evaluate=function(a){return this.childs[0].evaluate(a)!==this.childs[1].evaluate(a)?1:0});else if("boolOperator"===this.type)"&"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)?this.childs[1].evaluate(a)?1:0:0}:"|"===this.value?this.evaluate=function(a){return this.childs[0].evaluate(a)?1:this.childs[1].evaluate(a)?1:0}:"!"===this.value&&(this.evaluate=function(a){return this.childs[0].evaluate(a)?
0:1});else if("conditional"===this.type)this.evaluate=function(a){return 0<this.childs[0].evaluate(a)?this.childs[1].evaluate(a):this.childs[2].evaluate(a)};else if("sign"===this.type)this.evaluate="sign+"===this.value?function(a){return this.childs[0].evaluate(a)}:function(a){return-this.childs[0].evaluate(a)};else if("parentheses"===this.type)this.evaluate=function(a,b){return this.childs[0].evaluate(a,b)};else if("(expr)"===this.type||"[expr]"===this.type)this.evaluate=function(a){var b=this.childs.length,
e=[],c;if(1===b&&1===this.childs[0].childs.length&&"(expr)"===this.type)e=this.childs[0].childs[0].evaluate(a);else for(var d=0;d<b;d++){c=[];for(var k=0,h=this.childs[d].childs.length;k<h;k++)c.push(this.childs[d].childs[k].evaluate(a));e[d]=c}return e};else if("asign"===this.type){var A,z,H,I,M,y;this.evaluate=function(a){A=this.childs[0];z=this.childs[1];1===A.childs.length&&"square_bracket"===A.childs[0].type?(b=A.childs[0].childs,1===b.length?(H=b[0].evaluate(a),H=0>H?0:h(H),a.vectors[A.value][H]=
z.evaluate(a)):2===b.length&&(I=b[0].evaluate(a),M=b[1].evaluate(a),I=0>I?0:h(I),M=0>M?0:h(M),a.matrices[A.value][I]||(a.matrices[A.value][I]=[]),a.matrices[A.value][I][M]=z.evaluate(a))):(y=z.evaluate(a),y.type?a.matrices[A.value]=y:"object"!==typeof a.variables[A.value]&&(a.variables[A.value]=y))}}};var q,t,w,e,n,l,v;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,e=this.childs.length;b<e;b++)a+=
this.sep+this.childs[b].toString();return a};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f,p,c,m,h,b,u,k=/^\s+/,r=/^[a-zA-Z_\u00C0-\u021B\u0391-\u03C9]+[a-zA-Z_0-9\u00C0-\u021B\u0391-\u03C9]*([.]*[0-9a-zA-Z_\u00C0-\u021B\u0391-\u03C9]+[0-9]*)*/,q=/^[0-9]+[.][0-9]+|^[.][0-9]+|^[0-9]+/,t=/^==|^!=|^<=|^<|^>=|^>|^#/,w=/^\!|^\~|^\&\&|^\&|^\|\||^\|/,e=/^=|^:=/,n=/^[\?\:]/,l=/^[\+\-\*\/\%\^\u2212\u00b7\u00D7\u00F7]/,v=/^\[|^\]/,x=/^\(|^\)/,B=/^,/,D=/^;/,C=/\|/g,E=/\|\*/g,
F=/\*\|/g;a.Tokenizer=function(){};a.Tokenizer.prototype.tokenize=function(a){function z(a,e,c){d.push({type:a,value:e});m=m.slice(c);p+=c;b++;u=a}if(g=a){a=a.replace(/\\u(\S+) /g,function(a,b){return String.fromCharCode(parseInt(b,16))});a=a.replace(/\&sup(.+);/g,"^ $1 ");a=a.replace(/&squot;/g,"'");a.match(/\=\|\*/g)&&(a=a.replace(E,"'").replace(F,"'"));a.match(/\=\|/g)&&(a=a.replace(C,"'"));var H=a.trim();"|"==H.charAt(0)&&"|"==H.charAt(H.length-1)&&(a=H.replace(C,"'"))}d=[];f=!1;p=0;m=a;b=0;for(u=
"";a&&p<a.length;)if(f=p,"'"==m[0]){for(h=1;"'"!=m[h];)if(h<m.length)h++;else{console.log(">Error, unknown symbol: ["+m+"], in the string <<"+g+">>");return}c=m.substring(1,h);z("string",c,c.length+2)}else if(c=m.match(k))m=m.slice(c[0].length),p+=c[0].length,b++;else if(c=m.match(l))c[0]=c[0].replace(/\u00F7/g,"/").replace(/\u2212/g,"-").replace(/\u00b7/g,"*").replace(/\u00D7/g,"*"),z("operator",c[0],c[0].length);else if(c=m.match(r))"number"===u&&d.push({type:"operator",value:"*"}),z("identifier",
c[0],c[0].length);else if(c=m.match(q))z("number",c[0],c[0].length);else if(c=m.match(t))H=c[0],"#"==H&&(H="!="),z("compOperator",H,c[0].length);else if(c=m.match(w))H=c[0],"||"==H?H="|":"&&"==H?H="&":"~"==H&&(H="!"),z("boolOperator",H,c[0].length);else if((c=m.match(e))&&!m.match(/^==/))z("asign",c[0],c[0].length);else if(c=m.match(n))z("conditional",c[0],c[0].length);else if(c=m.match(v))z("square_bracket",c[0],c[0].length);else if(c=m.match(x))"("==c&&"number"===u&&d.push({type:"operator",value:"*"}),
z("parentheses",c[0],c[0].length);else if(c=m.match(B))z("separator",c[0],c[0].length);else if(178===m.charCodeAt(0))d.push({type:"operator",value:"^"}),z("number",2,1);else if(179===m.charCodeAt(0))d.push({type:"operator",value:"^"}),z("number",3,1);else if(c=m.match(D))z("final_of_expresion",c[0],c[0].length);else if(f==p){console.log("Error, simbolo no conocido: ["+m+"], en la cadena <<"+g+">>");return}return d};var G,J=/rnd|pi|e|Infinity|-Infinity|sqr|sqrt|ra\u00edz|exp|log|log10|abs|ent|sgn|ind|sin|sen|cos|tan|cot|sec|csc|sinh|senh|cosh|tanh|coth|sech|csch|asin|asen|acos|atan|min|max/;
a.Tokenizer.prototype.flatTokens=function(a,b){a=a||[];b=b||"";G="";for(var e=0,c=a.length;e<c;e++)G="string"==a[e].type?G+"&squot;"+a[e].value+"&squot;":"identifier"!=a[e].type||a[e].value.match(J)?G+a[e].value:G+b+a[e].value;return G};return a}(descartesJS||{}),descartesJS=function(a){function g(a){switch(a){case "=":return 1;case ":=":return 1;case "(":return 2;case "[":return 2;case "?":return 2;case ":":return 3;case "?:":return 3;case "|":return 6;case "&":return 7;case "<":return 5;case "<=":return 5;
case ">":return 5;case ">=":return 5;case "==":return 5;case "!=":return 5;case "+":return 6;case "-":return 6;case "/":return 7;case "*":return 7;case "sign-":return 7;case "sign+":return 7;case "!":return 8;case "%":return 8;case "^":return 9;default:return 9}}function d(a){return isNaN(parseFloat(a))?a.replace(/^\s|\s$/g,"").replace(/^'|'$/g,""):parseFloat(a)==a?parseFloat(a):a.replace(/^\s|\s$/g,"").replace(/^'|'$/g,"")}if(a.loadLib)return a;a.Parser=function(b){this.evaluator=b;this.tokenizer=
new a.Tokenizer;this.vectors={};this.matrices={};this.variables={};this.functions={};this.definitions={};this.registerDefaultValues();this.registerExternalValues&&this.registerExternalValues()};a.Parser.prototype.setDefinition=function(a,b){this.definitions[a]=b};a.Parser.prototype.getDefinition=function(a){return this.definitions[a]};a.Parser.prototype.setVariable=function(a,b){this.variables[a]=b};a.Parser.prototype.getVariable=function(a,b){b&&(this.variables[a]=void 0!==this.variables[a]?this.variables[a]:
void 0);return this.variables[a]};a.Parser.prototype.setVector=function(a,b,c){this.vectors[a][b]=c};a.Parser.prototype.getVector=function(a){this.vectors.hasOwnProperty(a)||(this.vectors[a]=[0,0,0]);return this.vectors[a]};a.Parser.prototype.setMatrix=function(a,b,c,d){this.matrices[a][b][c]=d};a.Parser.prototype.getMatrix=function(a){this.matrices.hasOwnProperty(a)||(this.matrices[a]=[[0,0,0],[0,0,0],[0,0,0]]);return this.matrices[a]};a.Parser.prototype.setFunction=function(a,b){this.functions[a]=
b};a.Parser.prototype.getFunction=function(a){this.functions.hasOwnProperty(a)||(this.functions[a]=function(){return 0});return this.functions[a]};var f,p,c,m,h,b,u,k,r,q,t,w;a.Parser.prototype.parse=function(e,d){(c=this.tokenizer.tokenize(e))||(c=[]);m=null;d=!d||!1;f=k=u=b=0;for(p=c.length;f<p;f++){r=c[f];q=r.value;t=r.type;if("identifier"===t)if(f+1<p&&"parentheses"===c[f+1].type&&"("===c[f+1].value)this.getFunction(q);else if(f+1<p&&"square_bracket"===c[f+1].type&&"["===c[f+1].value)c[f+3]&&
"square_bracket"===c[f+3].type&&"]"===c[f+3].value?this.getVector(q):this.getMatrix(q);else{var l=q.match(/(\w*)\.mouse_x|(\w*)\.mouse_y|(\w*)\.mouse_pressed|(\w*)\.mouse_clicked|(\w*)\.clic_izquierdo/);l&&(this.variables[l[1]+".DESCARTESJS_no_fixed"]=1);this.getVariable(q,!0)}"asign"===t&&d&&(t="compOperator",q="==");if("asign"===t)if(h=new a.Node(t,q),null!=m)if("identifier"===m.type)m.parent&&m.parent.replaceLastChild(h),h.addChild(m),m=h,d=!0;else if("square_bracket"===m.type)h.addChild(m.parent),
m=h,d=!0;else{h.type="compOperator";h.value="==";for(d=!0;m.parent&&g(m.parent.value)>=g(h.value);)m=m.parent;m.parent&&m.parent.replaceLastChild(h);h.addChild(m);m=h}else{console.log("Error1: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else if("parentheses"===t&&"("===q||"square_bracket"===t&&"["===q)if(h=new a.Node(t,q),"("===q&&b++,"["===q&&u++,null===m)"("===q&&(new a.Node("(expr)","(expr)")).addChild(h),"["===q&&(new a.Node("[expr]","[expr]")).addChild(h),m=h;else if("operator"===
m.type||"boolOperator"===m.type||"compOperator"===m.type||"conditional"===m.type||"asign"===m.type)m.addChild(h),m=h;else if("sign"===m.type)m.addChild(h),m=h;else if("parentheses"===m.type&&"("===m.value)m.addChild(h),m=h;else if("square_bracket"===m.type&&"["===m.value)m.addChild(h),m=h;else if("parentheses"===m.type&&"()"===m.value)m.parent.addChild(h),m=h;else if("square_bracket"===m.type&&"[]"===m.value)m.parent.addChild(h),m=h;else if("identifier"===m.type)m.addChild(h),m=h;else{console.log("Error2: en la expresion <<"+
e+">>, en el token ["+f+"] {valor: "+q+", tipo: "+t+"}");break}else if("parentheses"===t&&")"===q)if(b--,null===m)console.log("Error3: en la expresion <<"+e+">>, en el token (valor:"+q+", tipo:"+t);else{for(;m&&m.parent&&("("!=m.value||"("==m.value&&"parentheses"!=m.type);)m=m.parent;if(m&&"("===m.value)m.value="()";else{console.log("Error4: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}}else if("square_bracket"===t&&"]"===q)if(u--,null===m)console.log("Error5: en la expresion <<"+
e+">>, en el token (valor:"+q+", tipo:"+t);else{for(;m&&m.parent&&("["!=m.value||"["==m.value&&"square_bracket"!=m.type);)m=m.parent;if(m&&"["===m.value)m.value="[]";else{console.log("Error6: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}}else if("number"===t||"string"===t||"identifier"===t)if(h=new a.Node(t,q),null===m)m=h;else if("operator"===m.type||"compOperator"===m.type||"boolOperator"===m.type||"parentheses"===m.type&&"("===m.value||"square_bracket"===m.type&&"["===
m.value||"sign"===m.type||"conditional"===m.type||"asign"===m.type)m.addChild(h),m=h;else{console.log("Error7: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else if("operator"===t||"compOperator"===t||"boolOperator"===t)if(h=new a.Node(t,q),null===m)if("-"===q||"+"===q)h.type="sign",h.value="sign"+q,m=h;else if("!"===q)m=h;else{console.log("Error8: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else if("operator"===m.type||"compOperator"===
m.type||"boolOperator"===m.type||"asign"===m.type||"conditional"===m.type||"square_bracket"===m.type&&"["===m.value&&("-"===q||"+"===q||"!"===q)||"parentheses"===m.type&&"("===m.value&&("-"===q||"+"===q||"!"===q)){if("-"===q||"+"===q)h.type="sign",h.value="sign"+q;m.addChild(h);m=h}else if("number"===m.type||"parentheses"===m.type&&"()"===m.value||"square_bracket"===m.type&&"[]"===m.value||"string"===m.type||"identifier"===m.type||"conditional"===m.type||"asign"===m.type){for(;m.parent&&g(m.parent.value)>=
g(h.value);)m=m.parent;m.parent&&m.parent.replaceLastChild(h);h.addChild(m);m=h}else{console.log("Error9: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else if("conditional"===t)if(h=new a.Node(t,q),null!=m)if("?"===h.value){for(k++;m.parent&&g(m.parent.value)>g(h.value);)m=m.parent;m.parent&&m.parent.replaceLastChild(h);h.addChild(m);m=h}else{for(k--;m&&m.parent&&("?"!=m.value||"?"==m.value&&"conditional"!=m.type);)m=m.parent;if(m&&"?"===m.value)m.value="?:";else{console.log("Error10: en la expresion <<"+
e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}}else{console.log("Error11: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else if("separator"===t)if(null!=m)for(;m.parent&&"("!=m.value&&"["!=m.value;)m=m.parent;else{console.log("Error12: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}else{console.log("Error13: en la expresion <<"+e+">>, en el token {valor: "+q+", tipo: "+t+"}");break}}0<b&&alert("Error, faltan parentesis por cerrar: "+
e);0>b&&alert("Error, faltan parentesis por abrir: "+e);0<u&&alert("Error, faltan corchetes por cerrar: "+e);0>u&&alert("Error, faltan corchetes por abrir: "+e);0!=k&&alert("Error, condicional incompleta: "+e);(w=m?m.getRoot():null)&&w.setAllEvalFun();return w};a.Parser.prototype.registerDefaultValues=function(){function b(a,e){for(var c in e)e.hasOwnProperty(c)&&(a[c]=e[c])}var c=this;c.variables.rnd=Math.random;c.variables.pi=c.variables["\u03c0"]=a.returnValue(Math.PI);c.variables.e=a.returnValue(Math.E);
c.variables.Infinity=Infinity;c.variables["-Infinity"]=-Infinity;c.variables.isTouch=c.variables["esT\u00e1ctil"]=a.hasTouchSupport?1:0;c.functions.sqr=function(a){return a*a};c.functions.sqrt=c.functions["ra\u00edz"]=Math.sqrt;c.functions.exp=Math.exp;c.functions.log=Math.log;c.functions.log10=function(a){return Math.log(a)/Math.log(10)};c.functions.abs=Math.abs;c.functions.ent=Math.floor;c.functions.sgn=function(a){return 0<a?1:0>a?-1:0};c.functions.ind=function(a){return a?1:0};c.functions.sin=
c.functions.sen=Math.sin;c.functions.cos=Math.cos;c.functions.tan=Math.tan;c.functions.cot=function(a){return 1/Math.tan(a)};c.functions.sec=function(a){return 1/Math.cos(a)};c.functions.csc=function(a){return 1/Math.sin(a)};c.functions.sinh=c.functions.senh=function(a){return(Math.exp(a)-Math.exp(-a))/2};c.functions.cosh=function(a){return(Math.exp(a)+Math.exp(-a))/2};c.functions.tanh=function(a){return(Math.exp(a)-Math.exp(-a))/(Math.exp(a)+Math.exp(-a))};c.functions.coth=function(a){return 1/c.functions.tanh(a)};
c.functions.sech=function(a){return 1/c.functions.cosh(a)};c.functions.csch=function(a){return 1/c.functions.sinh(a)};c.functions.asin=c.functions.asen=Math.asin;c.functions.acos=Math.acos;c.functions.atan=Math.atan;c.functions.min=Math.min;c.functions.max=Math.max;c.functions._Trace_=c.functions._Print_=function(){console.log.apply(console,arguments);return 0};c.functions._Num_=function(a){if("number"==typeof a)return"NaN";a=a.replace(",",".");return parseFloat(a)==a?parseFloat(a):"NaN"};c.functions._Stop_Audios_=
function(){c.evaluator.parent.stopAudios()};c.functions.esCorrecto=function(b,e,d){return a.esCorrecto(b,e,c.evaluator,d)};c.functions.escorrecto=function(b,e,d){return a.escorrecto(b,e,c.evaluator,d)};window.parent!==window&&(c.functions["parent.set"]=function(a,b){window.parent.postMessage({type:"set",name:a,value:b},"*");return 0},c.functions["parent.update"]=function(){window.parent.postMessage({type:"update"},"*");return 0},c.functions["parent.exec"]=function(a,b){window.parent.postMessage({type:"exec",
name:a,value:b},"*");return 0});c.functions._NumToStr_=c.functions._NumACadena_=function(a,b){a=isNaN(parseFloat(a))?0:parseFloat(a);return a.toFixed(parseInt(b||0))};c.functions._charAt_=c.functions._letraEn_=function(a,b){a=(a||"").toString();b=isNaN(parseInt(b))?0:parseInt(b);return a.charAt(b)};c.functions._substring_=c.functions._subcadena_=function(a,b,e){a=(a||"").toString();b=isNaN(parseInt(b))?0:parseInt(b);e=isNaN(parseInt(e))?0:parseInt(e);return 0<=b&&0<=e?a.substring(b,e):0>b&&0<=e?a.substring(e):
0>e&&0<=b?a.substring(b):""};c.functions._length_=c.functions._longitud_=function(a){return(a||"").toString().length};c.functions._indexOf_=c.functions["_\u00edndiceDe_"]=function(a,b){return(a||"").toString().indexOf((b||"").toString())};this.functions._Load_=function(b){var e="";b&&(e=(e=document.getElementById(b))&&"descartes/archivo"==e.type?e.text:a.openExternalFile(b));return e||""};this.functions._GetValues_=function(a,b){var e=this.functions._Load_(a).replace(/&brvbar;/g,String.fromCharCode("166"));
return this.functions._ExecBlock_(e,b)};this.functions._GetMatrix_=function(a,b){var e=this.functions._Load_(a).replace(/&brvbar;/g,String.fromCharCode("166"));return this.functions._StrToMatrix_(e,b)};this.functions._MatrixToStr_=function(a){var b=this.matrices[a];if(b){for(var e="<"+a+">\\n",c=this.getVariable(a+".columnas_usadas")||b.rows||0,d=this.getVariable(a+".filas_usadas")||b.cols||0,k,h=0;h<c;h++){for(var f=0;f<d;f++)k=b[h][f],void 0!==k&&("string"==typeof k&&(k="'"+k+"'"),e+=k+(f<d-1?" \u00a6 ":
""));e=e.replace(/(\u00A6 )$/g,"")+"\\n"}return e+("</"+a+">")}return""};this.functions._StrToMatrix_=function(a,b){var e=[],k=!1;e.type="matrix";if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var h=0,f=a.length;h<f;h++)a[h].match("<"+b+">")?(k=a[h].trim().split("<"+b+">"),2==k.length&&""!=k[1]&&e.push(k[1].split(String.fromCharCode("166")).map(d)),k=!0):a[h].match("</"+b+">")?(k=a[h].trim().split("</"+b+">"),2==k.length&&""!=k[0]&&e.push(k[0].split(String.fromCharCode("166")).map(d)),k=!1):
k&&e.push(a[h].split(String.fromCharCode("166")).map(d));c.matrices[b]=e;c.setVariable(b+".filas",e[0].length);c.setVariable(b+".columnas",e.length)}return"OK"};this.functions._GetVector_=function(a,b){var e=this.functions._Load_(a);return this.functions._StrToVector_(e,b)};this.functions._VectorToStr_=function(a){var b=this.vectors[a];if(b){for(var e="<"+a+">\\n",c=this.getVariable(a+".long_usada")||b._size_||0,d,k=0;k<c;k++)d=b[k],void 0!==d?("number"==typeof d&&(d=parseFloat(d)),e+=d+"\\n"):e+=
"0\\n";return e+("</"+a+">")}return""};this.functions._StrToVector_=function(a,b){var e=[],k=!1;e.type="vector";if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var h=0,f=a.length;h<f;h++)a[h].match("<"+b+">")?k=!0:a[h].match("</"+b+">")?k=!1:k&&e.push(d(a[h]));e._size_=e.length;c.vectors[b]=e;c.setVariable(b+".long",e.length);c.setVariable(b+".long_usada",e.length)}return"OK"};this.functions._ExecStr_=function(a){return this.functions._ExecBlock_(a,"")};this.functions._ExecBlock_=function(a,b){var e=
[],d=""==b;if(a){a=a.replace(/\r|\\r/g,"").split(/\n|\\n/);for(var k=0,h=a.length;k<h;k++)a[k].match("<"+b+">")?(d=a[k].trim().split("<"+b+">"),2==d.length&&""!=d[1]&&(e=e.concat(d[1].split(String.fromCharCode("166")))),d=!0):a[k].match("</"+b+">")?(d=a[k].trim().split("</"+b+">"),2==d.length&&""!=d[0]&&(e=e.concat(d[0].split(String.fromCharCode("166")))),d=!1):d&&(e=e.concat(a[k].split(String.fromCharCode("166"))));k=0;for(h=e.length;k<h;k++)d=e[k].split("="),d[0]=d[0].trim(),2==d.length&&""!=d[0]&&
(isNaN(parseFloat(d[1]))?c.setVariable(d[0],d[1].replace(/^\s|\s$/g,"").replace(/^'|'$/g,"")):c.setVariable(d[0],parseFloat(d[1])))}return 0};var k=document.createElement("a");k.setAttribute("target","_blank");var h,f=null;this.functions._Save_=function(b,e){document.body.appendChild(k);h=new Blob(["\ufeff",e.replace(/\\n/g,"\n").replace(/\\q/g,"'").replace(/\\r/g,"")],{type:"text/plain"});k.setAttribute("download",b);k.setAttribute("href",window.URL.createObjectURL(h));null==f&&(k.click(),f=!0,a.setTimeout(function(){f=
null},1E3));document.body.removeChild(k);return 0};var q,g,m,r,t=document.createElement("input");t.setAttribute("type","file");onHandleFileSelect=function(b){q=b.target.files;g=new FileReader;g.onload=function(b){a.addExternalFileContent(q[0].name,b.target.result);c.setVariable(m,q[0].name);c.getFunction(r)&&(c.getFunction(r).apply(c.evaluator,[]),c.evaluator.parent.update())};0<q.length&&g.readAsText(q[0])};t.addEventListener("change",onHandleFileSelect);this.functions._Open_=function(a,b){m=a;r=
b;t.click();return 0};var u,p,w=document.createElement("input");w.setAttribute("type","file");onHandleFileSelect2=function(a){a.stopPropagation();a.preventDefault();u=a.target.files;p=new FileReader;p.onload=function(a){var d={};try{d=JSON.parse(a.target.result)}catch(k){}d.variables&&b(c.variables,d.variables);d.vectors&&b(c.vectors,d.vectors);d.matrices&&b(c.matrices,d.matrices);c.evaluator.parent.update()};0<u.length&&p.readAsText(u[0])};w.removeEventListener("change",onHandleFileSelect2);w.addEventListener("change",
onHandleFileSelect2);this.functions._AnchoDeCadena_=this.functions._strWidth_=function(b,e,c,d){return a.getTextWidth(b,a.convertFont(e+","+c+","+d))};this.functions._Rojo_=this.functions._Red_=function(b){return(new a.Color(b)).r/255};this.functions._Verde_=this.functions._Green_=function(b){return(new a.Color(b)).g/255};this.functions._Azul_=this.functions._Blue_=function(b){return(new a.Color(b)).b/255}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.floor;
a.Evaluator=function(d){this.parent=d;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,f){this.definitions[a]=f};a.Evaluator.prototype.getDefinition=function(a){return this.definitions[a]};a.Evaluator.prototype.setVariable=function(a,f){this.variables[a]=f};a.Evaluator.prototype.getVariable=
function(a){return this.variables[a]};a.Evaluator.prototype.setVector=function(a,f,p){f=0>f?0:g(f);this.vectors[a][f]=p};a.Evaluator.prototype.getVector=function(a,f){f=0>f?0:g(f);return this.vectors[a][f]};a.Evaluator.prototype.setMatrix=function(a,f,p,c){f=0>f?0:g(f);p=0>p?0:g(p);this.matrices[a][f][p]=c};a.Evaluator.prototype.getMatrix=function(a,f,p){f=0>f?0:g(f);p=0>p?0:g(p);return this.matrices[a][f][p]};a.Evaluator.prototype.setFunction=function(a,f){this.functions[a]=f};a.Evaluator.prototype.getFunction=
function(a){return this.functions[a]};a.Evaluator.prototype.eval=function(a){return a?a.evaluate(this):0};a.externalEvaluator=new a.Evaluator;return a}(descartesJS||{}),descartesJS=function(a){function g(a){for(var b="",c,d=0;d<a.children.length;d++)if(c=a.children[d],"text"===c.nodeType)b+=c.value.replace(/\[/g,"\\left[").replace(/\]/g,"\\right]").replace(/_/g,"\\_").replace(/ /g,"\\;").replace(/</g,"&lt;").replace(/>/g,"&gt;");else if("mathSymbol"===c.nodeType)b+=c.value.replace(/\(/g,"\\left(").replace(/\)/g,
"\\right)");else if("superIndex"===c.nodeType)b+="^{"+g(c)+"}";else if("subIndex"===c.nodeType)b+="_{"+g(c)+"}";else if("fraction"===c.nodeType)b+="\\frac{"+g(c.children[0])+"}{"+g(c.children[1])+"}";else if("radical"===c.nodeType)b+="\\sqrt["+g(c.children[0])+"]{"+g(c.children[1])+"}";else if("sum"===c.nodeType)b+="\\sum_{"+g(c.children[0])+"}^{"+g(c.children[1])+"}{"+g(c.children[2])+"}";else if("integral"===c.nodeType)b+="\\int_{"+g(c.children[0])+"}^{"+g(c.children[1])+"}{"+g(c.children[2])+"}";
else if("limit"===c.nodeType)b+="\\lim_{"+g(c.children[0])+" \\to "+g(c.children[1])+"}{"+g(c.children[2])+"}";else if("matrix"===c.nodeType){for(var b=b+"\\begin{bmatrix}",h=0;h<c.rows;h++){for(var e=0;e<c.columns;e++)b+=g(c.children[e+h*c.columns])+" &";b=b.substring(0,b.length-2)+"\\\\"}b+="\\end{bmatrix}"}else if("defparts"===c.nodeType){b+="\\begin{cases}";for(h=0;h<c.parts;h++)b+=g(c.children[h])+" \\\\";b+="\\end{cases}"}else console.log("<<",a.children[d].nodeType,">>");return b}if(a.loadLib)return a;
var d=Math.floor,f=Math.max,p=2,c=!1,m;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 h=0,b=0,u=0;a.RTFNode.prototype.getTextMetrics=function(){if("textBlock"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);for(var d=0,g=this.children.length;d<g;d++)this.children[d].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 m=a.getFontMetrics(this.styleString);this.baseline=m.baseline;this.descent=m.descent;this.ascent=m.ascent;this.w=0;this.h=m.h}else if("text"==this.nodeType||"dynamicText"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);m=a.getFontMetrics(this.styleString);this.baseline=m.baseline;this.descent=m.descent;this.ascent=m.ascent;var d=this.value,t;"string"!=typeof this.value&&(g=void 0==this.decimals?p:this.evaluator.eval(this.decimals),t=void 0==
this.fixed?c:this.fixed,d=this.evaluator.eval(this.value,g,t),parseFloat(d).toString()===d.toString()&&(d=t?parseFloat(d).toFixed(g):a.removeNeedlessDecimals(parseFloat(d).toFixed(g)),d=(""+d).replace(".",this.decimal_symbol)),d+=" ");this.w=a.getTextWidth(d,this.styleString);this.h=m.h}else if("formula"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),this.getBlockMetric();else if("hyperlink"===this.nodeType){d=a.getFontMetrics(this.styleString);this.baseline=d.baseline;this.descent=
d.descent;this.ascent=d.ascent;this.w=a.getTextWidth(this.value,this.styleString);this.h=d.h;this.clickCacher=document.createElement("div");this.clickCacher.setAttribute("style","position: absolute; width: "+this.w+"px; height: "+this.h+"px; cursor: pointer;");var w=new a.OpenURL(this.evaluator.parent,this.URL),e=this;this.clickCacher.addEventListener("click",function(a){e.click=!0;w.actionExec()})}else if("superIndex"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),g=h,m=b,t=
u,d=a.getFontMetrics(this.styleString),this.getBlockMetric(),0>this.h&&(this.ascent=d.ascent,this.descent=d.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),d=t/2-m+this.h,this.superIndexPos=d-this.ascent,this.ascent=d,this.descent=m,this.baseline=this.ascent,this.h=this.ascent+this.descent;else if("subIndex"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),g=h,m=b,t=u,d=a.getFontMetrics(this.styleString),this.getBlockMetric(),0>this.h&&(this.ascent=d.ascent,
this.descent=d.descent,this.h=this.ascent+this.descent,this.w=1.5*this.spaceWidth),this.subIndexPos=m+1,this.ascent=g,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 n=this.children[0],l=this.children[1],d=a.getFontMetrics(n.styleString);n.getBlockMetric();l.getBlockMetric();g=h;m=b;t=u;0>n.h&&(n.h=d.h,n.w=this.spaceWidth);0>l.h&&(l.h=d.h,l.w=this.spaceWidth);
this.h=n.h+l.h-1;this.ascent=n.h+Math.round(t/2)-m;this.descent=this.h-this.ascent;this.baseline=this.ascent;this.w=f(n.w,l.w)+this.spaceWidth+8}else if("radical"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);m=this.children[0].style.clone();if(1===this.children.length)this.children[1]=new a.RTFNode(this.evaluator," ","radicand",m),this.children[1].addChild(this.children[0]),this.children[0]=new a.RTFNode(this.evaluator," ","index",m);else if("index"!==this.children[0].nodeType||
"radicand"!==this.children[1].nodeType){t=new a.RTFNode(this.evaluator,"","radicand",m);d=0;for(g=this.children.length;d<g;d++)t.addChild(this.children[d]);this.children=[];this.children[0]=new a.RTFNode(this.evaluator,"","index",m);this.children[1]=t}d=this.children[0];g=this.children[1];0>=d.children.length&&(m=this.style.clone(),m.fontSize=parseInt(m.fontSize-.2*m.fontSize),d.addChild(new a.RTFNode(this.evaluator," ","text",m)));0>=g.children.length&&g.addChild(new a.RTFNode(this.evaluator," ",
"text",this.style.clone()));d.getBlockMetric();g.getBlockMetric();this.ascent=g.h/2<d.h?g.h/2+d.h+2-g.descent:g.ascent+4;this.descent=g.descent;this.baseline=this.ascent;this.h=this.ascent+this.descent;this.w=d.w+g.w+4*this.spaceWidth}else if("sum"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),g=h,m=b,t=u,m=this.children[0],g=this.children[1],t=this.children[2],m.getBlockMetric(),g.getBlockMetric(),t.getBlockMetric(),-1==m.ascent&&(n=a.getFontMetrics(m.styleString),m.ascent=
n.ascent,m.descent=n.descent,m.h=n.h),-1==g.ascent&&(n=a.getFontMetrics(g.styleString),g.ascent=n.ascent,g.descent=n.descent,g.h=n.h),d=a.getFontMetrics(this.styleString),this.ascent=d.h+g.h>t.ascent?d.h-d.descent+g.h:t.ascent,this.descent=m.h>t.descent?m.h+d.descent:t.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent,d=this.style.clone(),d.fontType="Times New Roman",d.Bold="bold",d=d.toString(),d=a.getTextWidth(String.fromCharCode(8721),d),this.w=f(m.w,g.w,d)+f(t.w,this.spaceWidth)+
this.spaceWidth;else if("integral"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),g=h,m=b,t=u,m=this.children[0],g=this.children[1],t=this.children[2],m.getBlockMetric(),g.getBlockMetric(),t.getBlockMetric(),-1==m.ascent&&(n=a.getFontMetrics(m.styleString),m.ascent=n.ascent,m.descent=n.descent,m.h=n.h),-1==g.ascent&&(n=a.getFontMetrics(g.styleString),g.ascent=n.ascent,g.descent=n.descent,g.h=n.h),d=a.getFontMetrics(this.styleString),this.ascent=d.h+g.h>t.ascent?d.h-d.descent+
g.h:t.ascent,this.descent=m.h>t.descent?m.h+d.descent:t.descent,this.baseline=this.ascent,this.h=this.ascent+this.descent,d=this.style.clone(),d.fontSize*=1.5,d.fontType="Times New Roman",d.Bold="bold",d=d.toString(),d=a.getTextWidth(String.fromCharCode(8747),d),this.w=f(m.w,g.w,d)+f(t.w,this.spaceWidth)+2*this.spaceWidth;else if("limit"==this.nodeType)this.spaceWidth=a.getTextWidth(" ",this.styleString),g=h,m=b,t=u,m=this.children[0],g=this.children[1],t=this.children[2],d=a.getFontMetrics(this.styleString),
m.getBlockMetric(),g.getBlockMetric(),t.getBlockMetric(),-1==m.ascent&&(n=a.getFontMetrics(m.styleString),m.ascent=n.ascent,m.descent=n.descent,m.h=n.h),-1==g.ascent&&(n=a.getFontMetrics(g.styleString),g.ascent=n.ascent,g.descent=n.descent,g.h=n.h),-1==t.ascent&&(n=a.getFontMetrics(t.styleString),t.ascent=n.ascent,t.descent=n.descent,t.h=n.h),this.ascent=t.ascent,this.descent=f(d.h,t.descent),this.baseline=this.ascent,this.h=this.ascent+this.descent,d=a.getTextWidth(" "+String.fromCharCode(8594),
this.styleString),0==m.w&&(m.w=this.spaceWidth),0==g.w&&(g.w=this.spaceWidth),0==t.w&&(t.w=this.spaceWidth),this.w=g.w+m.w+t.w+d+this.spaceWidth;else if("matrix"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);d=a.getFontMetrics(this.styleString);g=h;m=b;t=u;t=d.ascent;for(var n=d.descent,l=d.h,v=this.spaceWidth,x,B,d=0,g=this.children.length;d<g;d++)this.children[d].getBlockMetric(),x=this.children[d].h,B=this.children[d].w,l<x&&(l=x,t=this.children[d].ascent,n=this.children[d].descent),
v<B&&(v=B);this.childWidth=v+2*this.spaceWidth;this.childHeight=l;this.childAscent=t;this.childDescent=n;this.h=this.rows*l;this.ascent=this.h/2;this.descent=this.h/2;this.w=this.columns*this.childWidth+this.spaceWidth}else if("defparts"==this.nodeType){this.spaceWidth=a.getTextWidth(" ",this.styleString);d=a.getFontMetrics(this.styleString);g=h;m=b;t=u;t=d.ascent;n=d.descent;l=d.h;v=this.spaceWidth;d=0;for(g=this.children.length;d<g;d++)this.children[d].getBlockMetric(),x=this.children[d].h,B=this.children[d].w,
l<x&&(l=x,t=this.children[d].ascent,n=this.children[d].descent),v<B&&(v=B);this.childWidth=v+2*this.spaceWidth;this.childHeight=l;this.childAscent=t;this.childDescent=n;this.h=this.parts*l;this.ascent=this.h/2+m;this.descent=this.h-this.ascent;this.w=v+this.spaceWidth/2}else"mathSymbol"==this.nodeType?(this.spaceWidth=a.getTextWidth(" ",this.styleString),m=a.getFontMetrics(this.styleString),this.baseline=m.baseline,this.descent=m.descent,this.ascent=m.ascent,this.w=a.getTextWidth(this.value,this.styleString)+
this.spaceWidth,this.h=m.h):"componentNumCtrl"==this.nodeType?(this.spaceWidth=a.getTextWidth(" ",this.styleString),m=a.getFontMetrics(this.styleString),this.componentNumCtrl=this.evaluator.parent.getControlByCId(this.value),this.baseline=m.baseline-2,this.descent=m.descent-2,this.ascent=m.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,d,f=0,g=this.children.length;f<g;f++){d=this.children[f];d.getTextMetrics();childAscent=d.ascent;childDescent=d.descent;this.w+=d.w;var e=childDescent;d=d.h;h=childAscent;b=e;u=d;c<childAscent&&(c=childAscent);a<childDescent&&(a=childDescent)}this.ascent=c;this.descent=a;this.baseline=this.ascent;this.h=
this.ascent+this.descent};a.RTFNode.prototype.drawTextBlock=function(a,b,d,h,f,e,g,l){m=l;this.stableWidth||(p=h,c=f,this.getTextMetrics());g=g?-this.children[0].ascent:0;f=h=0;for(e=this.children.length;f<e;f++)0<f&&(h+=this.children[f-1].h),this.children[f].draw(a,b+0,d+g+h)};a.RTFNode.prototype.drawTextLineBlock=function(a,b,c){for(var d=0,h=0,e=this.children.length;h<e;h++)a.strokeStyle=m,a.fillStyle=m,0<h&&(d+=this.children[h-1].w,"formula"==this.children[h-1].nodeType&&(d+=2*this.children[h-
1].spaceWidth)),this.children[h].draw(a,b+d,c+this.baseline)};a.RTFNode.prototype.drawFormula=function(a,b,c){for(var d=0,h=0,e=this.children.length;h<e;h++)0<h&&(d+=this.children[h-1].w),this.children[h].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,h=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)+h);a.lineTo(b-1+this.w,parseInt(c+this.descent/2)+h);a.stroke()}this.overline&&(h=(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)+h),a.lineTo(b-1+this.w,parseInt(c-this.ascent)+h),a.stroke())};a.RTFNode.prototype.drawDynamicText=function(b,h,f){var g=d(.5*this.spaceWidth),m=void 0==this.decimals?
p:this.evaluator.eval(this.decimals),e=void 0==this.fixed?c:this.fixed,n=this.evaluator.eval(this.value);parseFloat(n).toString()===n.toString()&&(n=e?parseFloat(n).toFixed(m):a.removeNeedlessDecimals(parseFloat(n).toFixed(m)),n=(""+n).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(n,this.styleString);b.fillText(n,g+h,f);this.underline&&(e=(m="bold"==this.style.textBold)?1:.5,
b.lineWidth=m?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(g+h-1,parseInt(f+this.descent/2)+e),b.lineTo(g+h-1+this.w,parseInt(f+this.descent/2)+e),b.stroke());this.overline&&(e=(m="bold"==this.style.textBold)?2:1.5,b.lineWidth=m?2:1,null!=this.color&&(b.strokeStyle=this.color),b.beginPath(),b.moveTo(g+h-1,parseInt(f-this.ascent)+e),b.lineTo(g+h-1+this.w,parseInt(f-this.ascent)+e),b.stroke());this.w+=2*g};a.RTFNode.prototype.drawHyperlink=function(a,b,c){this.clickCacher.parentNode||
(a.canvas.nextSibling.className?a.canvas.parentNode.insertBefore(this.clickCacher,a.canvas.nextSibling.nextSibling):a.canvas.parentNode.insertBefore(this.clickCacher,a.canvas.nextSibling),this.clickCacher.style.left=b-2+"px",this.clickCacher.style.top=c-this.ascent-2+"px");a.save();this.click?(a.fillStyle="red",a.strokeStyle="red"):(a.fillStyle="blue",a.strokeStyle="blue");a.font=this.styleStr;a.textAlign="start";a.textBaseline="alphabetic";a.fillText(this.value,b-1,c);var d="bold"==this.style.textBold,
h=d?1:.5;a.lineWidth=d?2:1;a.beginPath();a.moveTo(b-1,Math.ceil(c+this.descent/2)+h-2);a.lineTo(b-1+this.w,Math.ceil(c+this.descent/2)+h-2);a.stroke();a.restore()};a.RTFNode.prototype.drawRadical=function(a,b,c){var h=d(this.spaceWidth);this.children[0].draw(a,b,d(c+this.children[1].descent-this.children[1].h/2-this.children[0].descent));this.children[1].draw(a,b+1.5*h+this.children[0].w,c);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(b,d(c+this.children[1].descent-
this.children[1].h/2));a.lineTo(b+this.children[0].w,d(c+this.children[1].descent-this.children[1].h/2));a.lineTo(b+this.children[0].w+.5*h,c+this.children[1].descent);a.lineTo(b+this.children[0].w+1*h,c-this.children[1].ascent);a.lineTo(b+this.children[0].w+2*h+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 h=d(.5*this.spaceWidth);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(b+h,parseInt(c-this.ascent+this.children[0].h)-.5);a.lineTo(b-h+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,h=0,e=this.children.length;h<e;h++)0<h&&(d+=this.children[h-1].w),this.children[h].draw(a,b+d,c+this.baseline)};a.RTFNode.prototype.drawSubIndex=function(a,b,c){for(var d=0,h=0,e=
this.children.length;h<e;h++)0<h&&(d+=this.children[h-1].w),this.children[h].draw(a,b+d,c+this.subIndexPos)};a.RTFNode.prototype.drawSuperIndex=function(a,b,c){for(var d=0,h=0,e=this.children.length;h<e;h++)0<h&&(d+=this.children[h-1].w),this.children[h].draw(a,b+d,c-this.superIndexPos)};a.RTFNode.prototype.drawLimit=function(b,c,d){var h=a.getFontMetrics(this.styleString),f=" "+String.fromCharCode(8594),e=a.getTextWidth(f,this.styleString);this.children[0].draw(b,c,d+h.descent+this.children[0].ascent);
this.children[1].draw(b,c+this.children[0].w+e,d+h.descent+this.children[1].ascent);this.children[2].draw(b,c+e+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(f,c+this.children[0].w,d+h.descent+this.children[0].ascent)};a.RTFNode.prototype.drawIntegral=function(b,c,h){var g=this.style.clone();g.fontSize*=1.5;g.fontType="Times New Roman";
g.Bold="bold";var g=g.toString(),m=a.getTextWidth(String.fromCharCode(8747),g),e=a.getFontMetrics(g),n=f(this.children[0].w,this.children[1].w,d(1.5*m));this.children[0].draw(b,c+m,h+e.descent+this.children[0].ascent);this.children[1].draw(b,c+m+this.spaceWidth/2,h-this.ascent+this.children[1].ascent);this.children[2].draw(b,c+n+m,h);null!=this.color&&(b.fillStyle=this.color);b.font=g;b.textAlign="start";b.textBaseline="alphabetic";b.fillText(String.fromCharCode(8747),c,h+e.descent/2)};a.RTFNode.prototype.drawSum=
function(b,c,h){var g=this.style.clone();g.fontType="Times New Roman";g.Bold="bold";var g=g.toString(),m=a.getTextWidth(String.fromCharCode(8721),g),e=a.getFontMetrics(this.styleString),n=f(this.children[0].w,this.children[1].w,m);this.children[0].draw(b,c+(n-this.children[0].w)/2,h+e.descent+this.children[0].ascent);this.children[1].draw(b,c+(n-this.children[1].w)/2,h-e.ascent-this.children[1].descent);this.children[2].draw(b,c+n,h);null!=this.color&&(b.fillStyle=this.color);b.font=g;b.textAlign=
"start";b.textBaseline="alphabetic";b.fillText(String.fromCharCode(8721),c+d((n-m)/2),h-5)};a.RTFNode.prototype.drawMatrix=function(a,b,c){for(var h,f,e=0,g=this.children.length;e<g;e++)h=e%this.columns,f=d(e/this.columns),this.children[e].draw(a,2*this.spaceWidth+b+h*this.childWidth,c-this.ascent+this.childAscent+f*this.childHeight);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(d(b+this.spaceWidth)+.5,c-this.ascent+.5);a.lineTo(d(b+this.spaceWidth/2)+.5,c-this.ascent+
.5);a.lineTo(d(b+this.spaceWidth/2)+.5,c+this.descent+.5);a.lineTo(d(b+this.spaceWidth)+.5,c+this.descent+.5);a.moveTo(d(b+this.w-this.spaceWidth)-.5,c-this.ascent+.5);a.lineTo(d(b+this.w-this.spaceWidth/2)-.5,c-this.ascent+.5);a.lineTo(d(b+this.w-this.spaceWidth/2)-.5,c+this.descent+.5);a.lineTo(d(b+this.w-this.spaceWidth)-.5,c+this.descent+.5);a.stroke()};a.RTFNode.prototype.drawDefparts=function(a,b,c){for(var d=0,h=this.children.length;d<h;d++)this.children[d].draw(a,b+3*this.spaceWidth,c-this.ascent+
this.childAscent+d%this.parts*this.childHeight);a.lineWidth=1;null!=this.color&&(a.strokeStyle=this.color);a.beginPath();a.moveTo(parseInt(b+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,h=0,e=this.children.length;h<e;h++)0<h&&(d+=this.children[h-1].w),this.children[h].draw(a,b+d,c)};a.RTFNode.prototype.drawComponentNumCtrl=function(a,b,c){this.parent.getTextMetrics();this.componentNumCtrl.expresion=this.evaluator.parser.parse("("+b+","+(c-this.ascent)+","+this.componentNumCtrl.w+","+this.componentNumCtrl.h+")")};a.RTFNode.prototype.drawComponentSpace=function(a,b,c){this.getTextMetrics();
this.componentSpace.xExpr=this.evaluator.parser.parse(b.toString());this.componentSpace.yExpr=this.evaluator.parser.parse((c-this.parent.ascent).toString())};a.RTFNode.prototype.draw=function(a,b,c){console.log(">>> Dibujo desconocido ",this.nodeType)};a.RTFNode.prototype.toHTML=function(a){var b="";if("textLineBlock"===this.nodeType||"textBlock"===this.nodeType)for(var c=0,d=this.children.length;c<d;c++)b+=this.children[c].toHTML(a);else"text"===this.nodeType?b="<span "+this.style.toCSS()+">"+this.value.replace(/ {2}/g,
"&nbsp;&nbsp;").replace(/&nbsp; /g,"&nbsp;")+"</span>":"newLine"===this.nodeType?b="<span "+this.style.toCSS()+">"+this.value+"<br /></span>":"hyperlink"===this.nodeType?b="<span "+this.style.toCSS()+"> <a target='_blank' href='"+this.URL+"'>"+this.value+"</a></span>":"formula"===this.nodeType?b="<span "+this.style.toCSS()+"> \\( \\displaystyle "+g(this)+"\\) </span>":"componentSpace"===this.nodeType?(a.spaces.push({cID:"cID_"+this.value,value:this.componentSpace}),b="<div style='display:inline-block; vertical-align:top; width:"+
this.componentSpace.w+"px; height:0px;' id='cID_"+this.value+"'></div>"):"componentNumCtrl"===this.nodeType?(a.ctrs.push({cID:"cID_"+this.value,value:this.componentNumCtrl}),b="<div style='display:inline-block; vertical-align:middle; width:"+this.componentNumCtrl.w+"px; height:"+this.componentNumCtrl.h+"px;' id='cID_"+this.value+"'></div>"):console.log(">>>",this,"<<<");return b};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=String.fromCharCode,d,f,p,c,m,h,b,u,k,r,
q,t;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[];d=[];f=a.length;d=[];p="";m=c=0;b=a.charAt(0);u=!1;for(k="text";c<f;)h=b,b=a.charAt(c+1),u?"\\"===b||"{"===b||"}"===b||" "===b||";"===b?(u=!1,p+=h," "===b?(c++,b=a.charAt(c+
1),t=!0):t=!1,(r=p.match(/^\'([0-9a-f]{2})/))?(q="","text"===k&&(q=d.pop().value),p=q+=g(parseInt(r[1],16))+p.substring(3)):(r=p.match(/^u[0-9]+/))?(q="","text"===k&&(q=d.pop().value),p=q+=g(r[0].substring(1))):("{"===p||"}"===p||"\\"==h?(d.push({type:"text",value:p+(t?" ":"")}),k="text"):(d.push({type:"controlWord",value:p}),k="controlWord"),p="")):"{"==h||"}"==h||"\\"==h?(u=!1,d.push({type:"text",value:h}),k="text"):p+=h:"\\"===h?(u=!0,""!==p&&(d.push({type:"text",value:p}),k="text"),p=""):"{"===
h?(m++,""!==p&&d.push({type:"text",value:p}),p="",d.push({type:"openBlock",value:m}),k="openBlock"):"}"===h?(""!==p&&d.push({type:"text",value:p}),p="",d.push({type:"closeBlock",value:m}),k="closeBlock",m--):p+=h,c++;""!==p&&d.push({type:"text",value:p});return d};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g=Math.max,d,f,p,c,m,h,b,u,k,r,q,t,w,e,n,l,v,x,B,D,C,E,F,G,J,A,z,H,I,M;a.RTFParser=function(b){this.evaluator=b;this.tokenizer=new a.RTFTokenizer};a.RTFParser.prototype.parse=
function(y){y=d=this.tokenizer.tokenize(y);for(var L=[],K=!1,N=!1,T=[],O=0,U=y.length;O<U;O++)if("openBlock"==y[O].type&&T.push(y[O].value),"closeBlock"==y[O].type&&(T.pop(),0>=T.length&&(K=!1)),"controlWord"!=y[O].type||"expr"!=y[O].value&&"decimals"!=y[O].value||(N=!0),"controlWord"==y[O].type&&"mjaformula"==y[O].value&&(K=!0),"text"==y[O].type&&K&&!N){for(var R=0,P=y[O].value,Q="",S=0,ca=P.length;S<ca;S++)if("("==P.charAt(S)||")"==P.charAt(S)||"+"==P.charAt(S)||"-"==P.charAt(S)||"*"==P.charAt(S)||
"="==P.charAt(S))Q=P.substring(R,S),""!=Q&&L.push({type:"text",value:Q}),L.push({type:P.charAt(S),value:P.charAt(S)}),R=S+1;Q=P.substring(R,S);""!=Q&&L.push({type:"text",value:Q})}else L.push(y[O]),"text"==y[O].type&&N&&(N=!1);d=L;f={};c=2;if("openBlock"==d[0].type&&"fonttbl"==d[1].value){for(p=d[0].value;"closeBlock"!=d[c].type&&d[c].value!=p;)f[d[c].value]=d[c+2].value.substring(0,d[c+2].value.length-1),c+=3;c++}m={};h=0;if("openBlock"==d[c].type&&"colortbl"==d[c+1].value){p=d[c++].value;for(c++;"closeBlock"!=
d[c].type&&d[c].value!=p;)b=parseInt(d[c++].value.substring(3)).toString(16),u=parseInt(d[c++].value.substring(5)).toString(16),k=parseInt(d[c++].value.substring(4)).toString(16),";"===d[c].value&&c++,m[h++]="#"+(2>b.length?"0"+b:b)+(2>u.length?"0"+u:u)+(2>k.length?"0"+k:k);c++}r=new a.RTFNode(this.evaluator,"","textBlock","",!1,"");q=new a.RTFNode(this.evaluator,"","textLineBlock","",!1,"");r.addChild(q);e=w=t=null;D=B=x=v=l=n=!1;C=[new a.FontStyle(20,"Arial","","",!1,!1,null)];E=C[0];F=!0;J=G=-1;
A=[];M=I=H=z=!1;y=c;for(L=d.length;y<L;y++)if("controlWord"==d[y].type&&f[d[y].value])E.fontType=f[d[y].value];else if("controlWord"==d[y].type&&d[y].value.match(/^fs(\d+)/))E.fontSize=parseInt(d[y].value.match(/^fs(\d+)/)[1]/2);else if("controlWord"==d[y].type&&"b"==d[y].value)E.textBold="bold";else if("controlWord"==d[y].type&&"b0"==d[y].value)E.textBold="";else if("controlWord"==d[y].type&&"i"==d[y].value)E.textItalic="oblique";else if("controlWord"==d[y].type&&"i0"==d[y].value)E.textItalic="";
else if("controlWord"==d[y].type&&"ul"==d[y].value)E.textUnderline=!0;else if("controlWord"==d[y].type&&"ulnone"==d[y].value)E.textUnderline=!1;else if("controlWord"==d[y].type&&"ol"==d[y].value)E.textOverline=!0;else if("controlWord"==d[y].type&&"olnone"==d[y].value)E.textOverline=!1;else if("controlWord"==d[y].type&&d[y].value.match(/^cf(\d+)/))E.textColor=m[parseInt(d[y].value.substring(2))],0<A.length&&(A[A.length-1].style.textColor=E.textColor);else if("openBlock"==d[y].type)G=d[y].value,E=E.clone(),
C.push(E),A.push(null);else if("closeBlock"==d[y].type)d[y].value==J&&(J=-1,n=!1,q=q.parent),C.pop(),E=C[C.length-1],A.pop();else if("controlWord"==d[y].type&&"par"==d[y].value){q.addChild(new a.RTFNode(this.evaluator,"","newLine",E.clone()));r=new a.RTFNode(this.evaluator,"","textLineBlock",E.clone());if("textBlock"!=q.nodeType)for(q=q.parent;"textBlock"!=q.nodeType;)q=q.parent;q.addChild(r);q=r}else if("controlWord"==d[y].type&&"mjaformula"==d[y].value)z=!0,J=G,n=!0,r=new a.RTFNode(this.evaluator,
"","formula",E.clone()),q.addChild(r),q=r,A[A.length-1]=r;else if("controlWord"==d[y].type&&("fraction"==d[y].value||"radicand"==d[y].value||"radical"==d[y].value||"what"==d[y].value||"sum"==d[y].value||"integral"==d[y].value||"limit"==d[y].value))K=A[A.length-2].style.clone(),r=new a.RTFNode(this.evaluator,"",d[y].value,K),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==d[y].type&&"index"==d[y].value||"to"==d[y].value||"from"==d[y].value)K=A[A.length-2].style.clone(),K.fontSize=
g(parseInt(K.fontSize-.2*K.fontSize),8),r=new a.RTFNode(this.evaluator,"",d[y].value,K),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==d[y].type&&("num"==d[y].value||"den"==d[y].value))K=A[A.length-2].style.clone(),K.fontSize=g(Math.round(K.fontSize-.1*K.fontSize),8),"num"==d[y].value?r=new a.RTFNode(this.evaluator,"","numerator",K):"den"==d[y].value&&(r=new a.RTFNode(this.evaluator,"","denominator",K)),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==d[y].type&&
("subix"==d[y].value||"supix"==d[y].value))K=A[A.length-2].style.clone(),K.fontSize=g(Math.floor(K.fontSize-K.fontSize/3),8),"subix"==d[y].value?r=new a.RTFNode(this.evaluator,"","subIndex",K):"supix"==d[y].value&&(r=new a.RTFNode(this.evaluator,"","superIndex",K)),r.originalStyle=A[A.length-2].style.clone(),A[A.length-2].addChild(r),A[A.length-1]=r;else if("controlWord"==d[y].type&&("defparts"==d[y].value||"matrix"==d[y].value||"element"==d[y].value))K=A[A.length-2].style.clone(),r=new a.RTFNode(this.evaluator,
"",d[y].value,K),A[A.length-2].addChild(r),A[A.length-1]=r,"defparts"==d[y].value?e=r:"matrix"==d[y].value&&(w=r);else if("controlWord"==d[y].type&&"parts"==d[y].value)D=!0;else if("text"==d[y].type&&D)e.parts=parseInt(d[y].value),D=!1;else if("controlWord"==d[y].type&&"rows"==d[y].value)x=!0;else if("text"==d[y].type&&x)w.rows=parseInt(d[y].value),x=!1;else if("controlWord"==d[y].type&&"columns"==d[y].value)B=!0;else if("text"==d[y].type&&B)w.columns=parseInt(d[y].value),B=!1;else if("controlWord"==
d[y].type&&"expr"==d[y].value)F=!1,l=!0;else if("controlWord"==d[y].type&&"decimals"==d[y].value)v=!0;else if("text"==d[y].type&&v)t.decimals=this.evaluator.parser.parse(d[y].value+""),v=!1;else if("controlWord"==d[y].type&&"fixed1"==d[y].value)t.fixed=!0;else if("controlWord"==d[y].type&&"fixed0"==d[y].value)t.fixed=!1;else if("controlWord"!=d[y].type||"component"!=d[y].value)if("controlWord"==d[y].type&&"NumCtrl"==d[y].value)H=!0;else if("controlWord"==d[y].type&&"Space"==d[y].value)I=!0;else if("controlWord"==
d[y].type&&"hyperlink"==d[y].value)M=!0;else if("text"==d[y].type&&M){textContent=d[y].value.split("|")[0];K=E.clone();r=new a.RTFNode(this.evaluator,textContent,"hyperlink",K);r.URL=d[y].value.split("|")[1];if("textLineBlock"!=q.nodeType)for(q=q.parent;"textLineBlock"!=q.nodeType;)q=q.parent;q.addChild(r);M=!1}else if("text"==d[y].type&&H)r=new a.RTFNode(this.evaluator,d[y].value,"componentNumCtrl",E.clone()),q.addChild(r),H=!1;else if("text"==d[y].type&&I)r=new a.RTFNode(this.evaluator,d[y].value,
"componentSpace",E.clone()),q.addChild(r),I=!1;else if("text"==d[y].type&&l)K=A[A.length-2].style.clone(),textContent=this.evaluator.parser.parse(d[y].value),r=new a.RTFNode(this.evaluator,textContent,"dynamicText",K),A[A.length-2].addChild(r),t=A[A.length-1]=r,l=!1;else if("text"==d[y].type&&!l&&!n){textContent=d[y].value;r=new a.RTFNode(this.evaluator,textContent,"text",E.clone());if("textLineBlock"!=q.nodeType)for(q=q.parent;"textLineBlock"!=q.nodeType;)q=q.parent;q.addChild(r)}else if("text"==
d[y].type&&!l&&n)textContent=d[y].value,r=new a.RTFNode(this.evaluator,textContent,"text",A[A.length-1].style.clone()),A[A.length-1].addChild(r);else if("("==d[y].type||")"==d[y].type)K=A[A.length-1].style.clone(),K.textItalic="",r=new a.RTFNode(this.evaluator,d[y].type,"mathSymbol",K),A[A.length-1].addChild(r);else if("+"==d[y].type||"-"==d[y].type||"*"==d[y].type||"="==d[y].type)r=new a.RTFNode(this.evaluator,d[y].type,"mathSymbol",A[A.length-1].style.clone()),A[A.length-1].addChild(r);if(null!=
q){var W=q.getRoot();W.stableWidth=F;W.getTextMetrics();W.hasFormula=z}return W};a.FontStyle=function(a,b,c,e,d,h,f){this.fontSize=a;this.fontType=b;this.textItalic=c;this.textBold=e;this.textUnderline=d;this.textOverline=h;this.textColor=f};a.FontStyle.prototype.toString=function(){/arial/i.test(this.fontType)?this.fontType="descartesJS_sansserif,Arial,Helvetica,Sans-serif":/times/i.test(this.fontType)?this.fontType="descartesJS_serif,'Times New Roman',Times,serif":/courier/i.test(this.fontType)&&
(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-size:'+this.fontSize+"px; font-family:"+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:italic;font-weight:normal;");this.textBold&&this.textItalic&&(a+="font-style:italic;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 g,d,f,p,c,m,h,b,u,k,r;a.Space=function(b,c){this.parent=b;d=this.evaluator=this.parent.evaluator;f=d.parser;this.id="";this.values=c;this.type="R2";this.xExpr=f.parse("0");this.yExpr=f.parse("0");this.w=parseInt(b.container.width);this.h=parseInt(b.container.height);this.drawif=f.parse("1");this.fixed=2==b.version;this.scale=48;this.Oy=this.Ox=0;this.image=new Image;this.image.onload=function(){this.ready=
1};this.imageSrc="";this.bg_display="topleft";this.background=new a.Color(/DescartesJS.class/i.test(b.code)||b.arquimedes?"f0f8fa":"ffffff");this.net=2!=b.version?new a.Color("c0c0c0"):"";this.net10=2!=b.version?new a.Color("808080"):"";this.axes=2!=b.version?new a.Color("808080"):"";this.text=new a.Color("ffafaf");this.numbers=!1;this.y_axis=this.x_axis=2!=b.version?"":" ";this.sensitive_to_mouse_movements=!1;this.cID="";this.mouse_y=this.mouse_x=0;this.ctrs=[];this.graphicsCtr=[];this.graphics=
[];this.backGraphics=[];this.zIndex=b.zIndex;this.plecaHeight=b.plecaHeight||0;this.displaceRegionNorth=b.displaceRegionNorth||0;this.displaceRegionWest=b.displaceRegionWest||0;for(var h in c)c.hasOwnProperty(h)&&(this[h]=c[h]);this.init()};a.Space.prototype.init=function(){g=this.parent;d=this.evaluator;p=this.id;this.displaceRegionNorth=g.displaceRegionNorth||0;this.displaceRegionWest=g.displaceRegionWest||0;void 0!=this.wExpr&&(this.w=(parseInt(g.container.width)-this.displaceRegionWest)*parseFloat(this.wExpr)/
100);void 0!=this.hExpr&&(this.h=(parseInt(g.container.height)-this.displaceRegionNorth)*parseFloat(this.hExpr)/100);h=parseInt(g.container.height);b=parseInt(g.container.width);this.x=d.eval(this.xExpr)+this.displaceRegionWest;this.y=d.eval(this.yExpr)+this.plecaHeight+this.displaceRegionNorth;this.container&&(this.container.style.left=this.x+"px",this.container.style.top=this.y+"px");0<=this.y?(c=h-this.y,this.h>c&&(this.h=c)):(c=this.h+this.y,this.h=c>=h?h:c);0<=this.x?(m=b-this.x,this.w>m&&(this.w=
m)):(m=this.w+this.x,this.w=m>=b?b:m);""==this.imageSrc&&/vacio.gif$/i.test(this.imageSrc.trim())||(this.image=g.getImage(this.imageSrc));this.OxExpr&&(k=this.OxExpr,"%"===k[k.length-1]?this.Ox=this.w*parseFloat(k)/100:(u=parseFloat(k),u!=k&&(u=0),this.Ox=u));this.OyExpr&&(r=this.OyExpr,"%"===r[r.length-1]?this.Oy=this.h*parseFloat(r)/100:(u=parseFloat(r),u!=r&&(u=0),this.Oy=u));""!==this.id&&2!==g.version?(d.setVariable(p+"._w",this.w),d.setVariable(p+"._h",this.h),d.setVariable(p+".escala",this.scale),
d.setVariable(p+".Ox",this.Ox),d.setVariable(p+".Oy",this.Oy),d.setVariable(p+".mouse_x",0),d.setVariable(p+".mouse_y",0),d.setVariable(p+".mouse_pressed",0),d.setVariable(p+".mouse_clicked",0),d.setVariable(p+".clic_izquierdo",0)):(u=d.getVariable("_w"),void 0===u&&(u=this.w),d.setVariable("_w",u),u=d.getVariable("_h"),void 0===u&&(u=this.h),d.setVariable("_h",u),u=d.getVariable("escala"),void 0===u&&(u=this.scale),d.setVariable("escala",u),u=d.getVariable("Ox"),void 0===u&&(u=this.Ox),d.setVariable("Ox",
u),u=d.getVariable("Oy"),void 0===u&&(u=this.Oy),d.setVariable("Oy",u),d.setVariable("mouse_x",0),d.setVariable("mouse_y",0),d.setVariable("mouse_pressed",0),d.setVariable("mouse_clicked",0),d.setVariable("clic_izquierdo",0),2==g.version&&""===this.x_axis&&""===this.y_axis&&(this.axes=""));this.w_2=this.w/2;this.h_2=this.h/2};a.Space.prototype.addCtr=function(a){"graphic"===a.type?this.graphicsCtr.push(a):this.ctrs.push(a)};a.Space.prototype.addGraph=function(a,b){"R2"===this.type&&b||"R3"===this.type&&
!b||(a.background&&"R3"!==this.type?this.backGraphics.push(a):this.graphics.push(a))};a.Space.prototype.clearClick=function(){this.evaluator.setVariable(this.mclickedString,0);this.evaluator.setVariable(this.mclicizquierdoString,0)};a.Space.prototype.getRelativeX=function(a){return(parseInt(a)-this.w_2-this.Ox)/this.scale};a.Space.prototype.getRelativeY=function(a){return(-parseInt(a)+this.h_2+this.Oy)/this.scale};a.Space.prototype.getAbsoluteX=function(a){return a*this.scale+this.w_2+this.Ox};a.Space.prototype.getAbsoluteY=
function(a){return-a*this.scale+this.h_2+this.Oy};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.SpaceExternal=function(a){g=this;g.parent=a;g.width=228;g.vSpace=25;g.container=document.createElement("div");g.container.setAttribute("style","box-sizing:border-box;border-style:ridge;border-width:5px;border-color:gray;box-shadow:#000 0 0 25px 5px;overflow-y:scroll;overflow-x:hidden;position:fixed;left:0;top:0;z-index:10000;width:"+(g.width+27)+"px;height:460px;background-color:#63b4fb");
g.movable=document.createElement("div");g.movable.setAttribute("style"," position:absolute;left:0;top:0;width:"+(g.width+27)+"px;height:"+g.vSpace+"px;line-height:"+g.vSpace+"px;background-color:#ddd;cursor:move;padding-left:75px;font-family:Sans-Serif;font-size:18px;");g.movable.innerHTML="Descartes";g.container.appendChild(g.movable);g.ctrs=[]};a.SpaceExternal.prototype.init=function(){function d(c){g.newPos=a.getCursorPosition(c,document.body);g.container.style.left=g.initialPosition.x+(g.newPos.x-
g.oldPos.x)*a.cssScale+"px";g.container.style.top=g.initialPosition.y+(g.newPos.y-g.oldPos.y)*a.cssScale+"px"}function f(a){a.preventDefault();document.body.removeEventListener("mousemove",d);document.body.removeEventListener("mouseup",f)}document.body.appendChild(this.container);g=this;for(var p=g.parent.evaluator.parser,c=0,m=g.ctrs.length;c<m;c++)g.ctrs[c].expresion=p.parse("(0,"+(g.vSpace+23+35*c)+","+g.width+",35)"),g.ctrs[c].update();g.numCtr=m;c=new a.Button(g.parent,{region:"external",name:"english"==
g.language?"about":"cr\u00e9ditos",font_size:p.parse("15"),expresion:p.parse("(0,"+g.vSpace+","+g.width/2+",25)")});c.actionExec={execute:a.showAbout};c.update();(new a.Button(g.parent,{region:"external",name:"config",font_size:p.parse("15"),action:"config",expresion:p.parse("("+g.width/2+","+g.vSpace+","+g.width/2+",25)")})).update();(new a.Button(g.parent,{region:"external",name:"english"==g.language?"init":"inicio",font_size:p.parse("15"),action:"init",expresion:p.parse("(0,"+(g.vSpace+23+35*m)+
","+g.width/2+",25)")})).update();(new a.Button(g.parent,{region:"external",name:"english"==g.language?"clear":"limpiar",font_size:p.parse("15"),action:"clear",expresion:p.parse("("+g.width/2+","+(g.vSpace+23+35*m)+","+g.width/2+",25)")})).update();p=new a.Button(g.parent,{region:"external",name:"english"==g.language?"close":"cerrar",font_size:p.parse("15"),expresion:p.parse("("+g.width/4+","+(g.vSpace+46+35*m)+","+g.width/2+",25)")});p.update();p.canvas.addEventListener("click",function(a){g.hide()});
g.setPositionAndSize();g.movable.addEventListener("mousedown",function(c){c.preventDefault();g.oldPos=a.getCursorPosition(c,document.body);g.initialPosition={x:g.container.offsetLeft,y:g.container.offsetTop};document.body.addEventListener("mousemove",d);document.body.addEventListener("mouseup",f)});g.hide()};a.SpaceExternal.prototype.addCtr=function(a){this.ctrs.push(a)};a.SpaceExternal.prototype.show=function(){this.setPositionAndSize();this.container.style.display="block"};a.SpaceExternal.prototype.hide=
function(){this.container.style.display="none"};a.SpaceExternal.prototype.setPositionAndSize=function(){g=this;var a=g.vSpace+46+35*g.numCtr+25+10;g.container.style.left=Math.max(parseInt(window.innerWidth-g.width)/2,0)+"px";g.container.style.top="5px";g.container.style.height=window.innerHeight<g.vSpace+75?g.vSpace+75+"px":a>window.innerHeight-10?window.innerHeight-10:a+"px"};return a}(descartesJS||{}),descartesJS=function(a){var g,d;if(a.loadLib)return a;var f=Math.floor,p=Math.round,c=2*Math.PI,
m=a.convertFont("SansSerif,PLAIN,12"),h=a.convertFont("Monospaced,PLAIN,12"),b,u,k,r,q,t,w,e,n,l,v,x,B,D,C,E,F,G,J,A,z,H,I,M,y,L,K,N;a.Space2D=function(c,e){a.Space.call(this,c,e);b=this;b._ratio=a._ratio;b.canvas=document.createElement("canvas");b.canvas.setAttribute("id",b.id+"_canvas");b.canvas.setAttribute("class","DescartesSpace2DCanvas");b.backCanvas=document.createElement("canvas");b.backCanvas.setAttribute("id",b.id+"_background");b.canvas.style.zIndex=b.zIndex;b.canvas.width=b.backCanvas.width=
b.w*b._ratio;b.canvas.height=b.backCanvas.height=b.h*b._ratio;b.canvas.style.width=b.backCanvas.style.width=b.w+"px";b.canvas.style.height=b.backCanvas.style.height=b.h+"px";b.ctx=b.canvas.getContext("2d");b.backCtx=b.backCanvas.getContext("2d");b.ctx.imageSmoothingEnabled=b.backCtx.imageSmoothingEnabled=!1;b.graphicControlContainer=document.createElement("div");b.graphicControlContainer.setAttribute("id",b.id+"_graphicControls");b.graphicControlContainer.setAttribute("style","position:absolute;left:0;top:0;z-index:"+
b.zIndex+";");b.numericalControlContainer=document.createElement("div");b.numericalControlContainer.setAttribute("id",b.id+"_numericalControls");b.numericalControlContainer.setAttribute("style","position:absolute;left:0;top:0;z-index:"+b.zIndex+";");b.container=document.createElement("div");b.container.setAttribute("id",b.id);b.container.setAttribute("class","DescartesSpace2DContainer");b.container.setAttribute("style","left:"+b.x+"px;top:"+b.y+"px;z-index:"+b.zIndex+";");b.parent.arquimedes&&"#f0f8fa"===
b.background.getColor()&&(b.container.style.border="1px solid #b8c4c8");b.container.appendChild(b.backCanvas);b.container.appendChild(b.canvas);b.container.appendChild(b.graphicControlContainer);b.container.appendChild(b.numericalControlContainer);c.container.insertBefore(b.container,c.loader);b.parent.images[b.id+".image"]=b.canvas;b.parent.images[b.id+".image"].ready=1;b.parent.images[b.id+".image"].complete=!0;b.parent.images[b.id+".image"].canvas=!0;b.evaluator.setVariable(b.id+".image",b.id+
".image");b.parent.images[b.id+".back"]=b.backCanvas;b.parent.images[b.id+".back"].ready=1;b.parent.images[b.id+".back"].complete=!0;b.parent.images[b.id+".back"].canvas=!0;b.evaluator.setVariable(b.id+".back",b.id+".back");var d=""!==b.id&&2!==c.version?b.id+".":"";b.OxStr=d+"Ox";b.OyStr=d+"Oy";b.scaleStr=d+"escala";b.wStr=d+"_w";b.hStr=d+"_h";b.mxStr=d+"mouse_x";b.myStr=d+"mouse_y";b.mpressedStr=d+"mouse_pressed";b.mclickedStr=d+"mouse_clicked";b.mclickIzqStr=d+"clic_izquierdo";b.click=0;"descartesJS_stage"!==
b.id?b.addEvents():b.canvas.oncontextmenu=function(a){return!1}};a.extend(a.Space2D,a.Space);a.Space2D.prototype.init=function(){b=this;b.uber.init.call(b);b.canvas&&(b.canvas.width=b.backCanvas.width=b.w*b._ratio,b.canvas.height=b.backCanvas.height=b.h*b._ratio,b.canvas.style.width=b.backCanvas.style.width=b.w+"px",b.canvas.style.height=b.backCanvas.style.height=b.h+"px")};a.Space2D.prototype.update=function(a){b=this;u=b.evaluator;k=b.parent;u.setVariable(b.wStr,b.w);u.setVariable(b.hStr,b.h);b.drawIfValue=
0<u.eval(b.drawif);if(b.drawIfValue){q=b.x!==u.eval(b.xExpr)+b.displaceRegionWest;t=b.y!==u.eval(b.yExpr)+k.plecaHeight+b.displaceRegionNorth;b.spaceChange=a||q||t||b.drawBefore!==b.drawIfValue||b.Ox!==u.getVariable(b.OxStr)||b.Oy!==u.getVariable(b.OyStr)||b.scale!==u.getVariable(b.scaleStr)||b.backColor!==b.background.getColor();b.x=q?u.eval(b.xExpr)+b.displaceRegionWest:b.x;b.y=t?u.eval(b.yExpr)+k.plecaHeight+b.displaceRegionNorth:b.y;b.Ox=u.getVariable(b.OxStr);b.Oy=u.getVariable(b.OyStr);b.scale=
u.getVariable(b.scaleStr);b.drawBefore=b.drawIfValue;b.scale=Math.max(1E-6,Math.min(1E6,b.scale));u.setVariable(b.scaleStr,b.scale);if(q||t)b.container.style.left=b.x+"px",b.container.style.top=b.y+"px";b.container.style.display="block";b.drawTrace=!b.spaceChange&&(!b.fixed&&!b.click||b.fixed);b.spaceChange&&(b.backCtx.setTransform(b._ratio,0,0,b._ratio,0,0),b.drawBackground());b.ctx.setTransform(b._ratio,0,0,b._ratio,0,0);b.draw()}else b.container.style.display="none"};a.Space2D.prototype.drawBackground=
function(){b=this;u=b.evaluator;r=b.backCtx;r.clearRect(0,0,b.backCanvas.width,b.backCanvas.height);b.backColor=b.background.getColor();r.fillStyle=b.backColor;r.fillRect(0,0,b.backCanvas.width,b.backCanvas.height);b.image&&""!=b.image.src&&b.image.ready&&b.image.complete&&("topleft"===b.bg_display?r.drawImage(b.image,0,0):"stretch"===b.bg_display?r.drawImage(b.image,0,0,b.w,b.h):"patch"===b.bg_display?(r.fillStyle=r.createPattern(b.image,"repeat"),r.fillRect(0,0,b.w,b.h)):"imgcenter"===b.bg_display&&
r.drawImage(b.image,(b.w-b.image.width)/2,(b.h-b.image.height)/2));e=b.scale;n=0;for(l=0>b.w+b.h?0:b.w+b.h;e>l;)e/=10,n++;for(;e<l/10;)e*=10;r.lineWidth=1;""!==b.net&&(r.strokeStyle=b.net.getColor(),b.drawMarks(r,e/10,-1));if(2!==b.parent.version&&""!==b.net10||2===b.parent.version&&""!==b.net&&""!==b.net10)r.strokeStyle=b.net10.getColor(),b.drawMarks(r,e,-1);if(""!==b.axes){r.strokeStyle=b.axes.getColor();r.beginPath();if(""!==b.x_axis||2!==b.parent.version)r.moveTo(0,f(b.h/2+b.Oy)+.5),r.lineTo(b.w,
f(b.h/2+b.Oy)+.5);if(""!==b.y_axis||2!==b.parent.version)r.moveTo(f(b.w/2+b.Ox)+.5,0),r.lineTo(f(b.w/2+b.Ox)+.5,b.h);r.stroke();b.drawMarks(r,e,4);b.drawMarks(r,e/2,2);b.drawMarks(r,e/10,1)}if(""!==b.x_axis||""!==b.y_axis)r.fillStyle=""!==b.axes?b.axes.getColor():"#000",r.font=m,r.textAlign="right",r.textBaseline="alphabetic",r.fillText(b.x_axis,f(b.w)-2,f(b.h/2+b.Oy)+12),r.fillText(b.y_axis,f(b.w/2+b.Ox)-2,12);b.numbers&&""!=b.axes&&(r.fillStyle=b.axes.getColor(),r.font=m,r.textAlign="start",r.textBaseline=
"bottom",e>(b.w+b.h)/2?b.drawNumbers(r,e/5,e<=b.scale?n+1:n):e>(b.w+b.h)/4?b.drawNumbers(r,e/2,e<=b.scale?n+1:n):b.drawNumbers(r,e,n));for(var a=0,c=b.backGraphics.length;a<c;a++)b.backGraphics[a].draw()};a.Space2D.prototype.draw=function(){b=this;r=b.ctx;r.clearRect(0,0,b.canvas.width,b.canvas.height);for(var a=0,e=b.graphics.length;a<e;a++)w=b.graphics[a],""!==w.trace&&b.drawTrace&&w.drawTrace(),w.draw();a=0;for(e=b.graphicsCtr.length;a<e;a++)b.graphicsCtr[a].draw();""!=b.text&&b.click&&"L"===b.whichBtn&&
(r.fillStyle=b.text.getColor(),r.strokeStyle=r.fillStyle,r.lineWidth=1,r.font=h,r.textAlign="center",r.textBaseline="alphabetic",z=1>=b.scale?b.mouse_x.toFixed(0):b.mouse_x.toFixed(b.scale.toString().length),H=1>=b.scale?b.mouse_y.toFixed(0):b.mouse_y.toFixed(b.scale.toString().length),I="("+z+","+H+")",M=f(r.measureText(I).width/2),y=b.getAbsoluteX(b.mouse_x),L=b.getAbsoluteY(b.mouse_y),K=f(y),N=f(L-10),K+M>b.w?K=b.w-M:0>K-M&&(K=M),N+1>b.h?N=b.h:0>N-14&&(N=15),r.fillText(I,K,N),r.beginPath(),r.arc(y,
L,2.5,0,c,!0),r.stroke())};a.Space2D.prototype.drawMarks=function(a,b,c){v=this.w;x=this.h;F=0;G=v;J=0;A=x;C=f(v/2+this.Ox);E=f(x/2+this.Oy);0<=c&&(F=C-c,G=C+c,J=E-c,A=E+c);a.beginPath();for(c=-p(C/b);(B=C+p(c*b))<v;c++)a.moveTo(B+.5,J+.5),a.lineTo(B+.5,A+.5);for(c=-p(E/b);(D=E+p(c*b))<x;c++)a.moveTo(F+.5,D+.5),a.lineTo(G+.5,D+.5);a.stroke()};a.Space2D.prototype.drawNumbers=function(a,b,c){v=this.w;x=this.h;C=f(v/2+this.Ox);E=f(x/2+this.Oy);for(c=-p(C/b);(B=C+p(c*b))<v;c++)a.fillText(parseFloat((c*
b/this.scale).toFixed(4)),B+1,E-2);for(c=-p(E/b);(D=E+p(c*b))<x;c++)0!==parseFloat(-c*b/this.scale)&&a.fillText(parseFloat((-c*b/this.scale).toFixed(4)),C+5,D+5)};a.Space2D.prototype.addEvents=function(){function b(a){window.focus();if(k.evaluator.variables[k.id+".DESCARTESJS_no_fixed"]||!k.fixed||k.sensitive_to_mouse_movements)k.click=0,k.evaluator.setVariable(k.mpressedStr,0),k.evaluator.setVariable(k.mclickedStr,1),k.evaluator.setVariable(k.mclickIzqStr,1),window.removeEventListener("touchmove",
f),window.removeEventListener("touchend",b),a.stopPropagation(),a.preventDefault(),k.parent.update()}function c(b){window.focus();b.stopPropagation();b.preventDefault();k.click=0;k.evaluator.setVariable(k.mpressedStr,0);k.evaluator.setVariable(k.mclickedStr,1);k.evaluator.setVariable(k.mclickIzqStr,1);"R"===k.whichBtn&&(window.removeEventListener("mousemove",h),k.posZoom==k.posZoomNew&&a.showConfig&&(k.parent.externalSpace.show(),k.posZoom=!1,k.posZoomNew=!0));window.removeEventListener("mousemove",
f);window.removeEventListener("mouseup",c);k.parent.deactivateGraphiControls();k.parent.update()}function e(b){k.posAnte=a.getCursorPosition(b,k.container);k.mouse_x=k.getRelativeX(k.posAnte.x);k.mouse_y=k.getRelativeY(k.posAnte.y);k.evaluator.setVariable(k.mxStr,k.mouse_x);k.evaluator.setVariable(k.myStr,k.mouse_y);k.evaluator.setVariable(k.mclickedStr,0);k.evaluator.setVariable(k.mclickIzqStr,0);k.parent.update()}function h(b){b.preventDefault();k.posZoomNew=a.getCursorPosition(b,k.container).y;
k.evaluator.setVariable(k.scaleStr,k.tempScale+k.tempScale/45*((k.posZoom-k.posZoomNew)/10));k.parent.update()}function f(b){b.preventDefault();b.stopPropagation();k.fixed||(k.posNext=a.getCursorPosition(b,k.container),g=(k.posAnte.x-k.posNext.x).toFixed(8),d=(k.posAnte.y-k.posNext.y).toFixed(8),k.evaluator.setVariable(k.OxStr,k.Ox-g),k.evaluator.setVariable(k.OyStr,k.Oy-d));e(b)}var k=this;k.posZoom=null;k.posZoomNew=null;k.canvas.oncontextmenu=function(a){return!1};this.sensitive_to_mouse_movements&&
this.canvas.addEventListener("touchmove",e);this.canvas.addEventListener("touchstart",function(a){window.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.mpressedStr,1),k.evaluator.setVariable(k.mclickedStr,0),k.evaluator.setVariable(k.mclickIzqStr,0),k.parent.deactivateGraphiControls(),e(a),window.addEventListener("touchmove",f),window.addEventListener("touchend",b),a.stopPropagation(),
a.preventDefault()});this.sensitive_to_mouse_movements&&this.canvas.addEventListener("mousemove",e);this.canvas.addEventListener("mousedown",function(b){window.focus();b.stopPropagation();b.preventDefault();k.parent.clearClick();k.click=1;k.parent.deactivateGraphiControls();k.whichBtn=a.whichBtn(b);"R"===k.whichBtn?(window.addEventListener("mouseup",c),k.posZoom=a.getCursorPosition(b,k.container).y,k.posZoomNew=k.posZoom,k.fixed||(k.tempScale=k.scale,window.addEventListener("mousemove",h))):"L"===
k.whichBtn&&(k.evaluator.setVariable(k.mpressedStr,1),k.evaluator.setVariable(k.mclickedStr,0),k.evaluator.setVariable(k.mclickIzqStr,0),e(b),window.addEventListener("mousemove",f),window.addEventListener("mouseup",c))});document.addEventListener("visibilitychange",function(a){c(a)})};return a}(descartesJS||{}),descartesJS=function(a){var g,d,f;function p(a,b){return b.depth-a.depth}function c(b,c){W=a.subtract3D(b,a.scalarProduct3D(c,a.dotProduct3D(b,c)));ia=a.add3D(b,a.scalarProduct3D(W,-2));ja=
a.norm3D(ia);return 0!==ja?a.scalarProduct3D(ia,1/ja):a.scalarProduct3D(b,-1)}if(a.loadLib)return a;var m=Math.floor,h=Math.round,b=Math.max,u=Math.cos,k=Math.sin,r=Math.sqrt,q=15*Math.PI/180,t=Math.cos(q),w=Math.sin(q),e,n,l,v,x,B,D,C,E,F,G,J,A,z,H,I,M,y,L,K,N,T,O=[],U,R,P,Q,S,ca,W,ia,ja,oa;a.Space3D=function(b,c){a.Space.call(this,b,c);l=this;l.backCanvas=document.createElement("canvas");l.backCanvas.setAttribute("id",l.id+"_background");l.backCanvas.setAttribute("width",l.w+"px");l.backCanvas.setAttribute("height",
l.h+"px");l.canvas=document.createElement("canvas");l.canvas.setAttribute("id",l.id+"_canvas");l.canvas.setAttribute("width",l.w+"px");l.canvas.setAttribute("height",l.h+"px");l.canvas.setAttribute("class","DescartesSpace3DCanvas");l.canvas.setAttribute("style","z-index: "+l.zIndex+";");l.ctx=l.canvas.getContext("2d");l.ctx.imageSmoothingEnabled=!1;l.parent.images[l.id+".image"]=l.canvas;l.parent.images[l.id+".image"].ready=1;l.parent.images[l.id+".image"].complete=!0;l.evaluator.setVariable(l.id+
".image",l.id+".image");l.graphicControlContainer=document.createElement("div");l.graphicControlContainer.setAttribute("id",l.id+"_graphicControls");l.graphicControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+l.zIndex+";");l.numericalControlContainer=document.createElement("div");l.numericalControlContainer.setAttribute("id",l.id+"_numericalControls");l.numericalControlContainer.setAttribute("style","position: absolute; left: 0px; top: 0px; z-index: "+l.zIndex+
";");l.container=document.createElement("div");l.container.setAttribute("id",l.id);l.container.setAttribute("class","DescartesSpace3DContainer");l.container.setAttribute("style","left: "+l.x+"px; top: "+l.y+"px; z-index: "+l.zIndex+";");l.container.appendChild(l.backCanvas);l.container.appendChild(l.canvas);l.container.appendChild(l.graphicControlContainer);l.container.appendChild(l.numericalControlContainer);b.container.insertBefore(l.container,b.loader);l.eye={x:0,y:0,z:0};l.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 e=0,d=l.lights.length;e<d;e++)l.lights[e]=a.normalize3D(l.lights[e]);l.light3={x:0,y:0,z:0};l.intensity=[.4,.5,.3,0];l.userIntensity=0;l.dim=1;l.tmpIntensity=[];l.OxStr=l.id+".Ox";l.OyStr=l.id+".Oy";l.scaleStr=l.id+".escala";l.wStr=l.id+"._w";l.hStr=l.id+"._h";l.obsStr=l.id+".observador";l.rotZStr=l.id+".rot.z";l.rotYStr=l.id+".rot.y";l.userIDimStr=l.id+".userIlum.dim";l.userIIStr=l.id+".userIlum.I";l.userIxStr=l.id+".userIlum.x";l.userIyStr=
l.id+".userIlum.y";l.userIzStr=l.id+".userIlum.z";l.new3DStr=l.id+"._3Dnew_";l.xOStr=l.id+".xO";l.yOStr=l.id+".yO";l.zOStr=l.id+".zO";l.AOStr=l.id+".AO";l.BOStr=l.id+".BO";l.COStr=l.id+".CO";l.zoomStr=l.id+".zoom";l.evaluator.setVariable(l.rotZStr,0);l.evaluator.setVariable(l.rotYStr,0);l.evaluator.setVariable(l.userIDimStr,l.dim);l.evaluator.setVariable(l.userIIStr,l.userIntensity);l.evaluator.setVariable(l.userIxStr,0);l.evaluator.setVariable(l.userIyStr,0);l.evaluator.setVariable(l.userIzStr,0);
l.addEvents()};a.extend(a.Space3D,a.Space);a.Space3D.prototype.init=function(a){l=this;l.uber.init.call(l);l.canvas&&(l.canvas.width=l.w,l.canvas.height=l.h,l.canvas.style.width=l.w+"px",l.canvas.style.height=l.h+"px");l.w_2=l.w/2;l.h_2=l.h/2;l.w_plus_h=l.w+l.h;l.oldMouse={x:0,y:0}};a.Space3D.prototype.update=function(a){l=this;e=l.evaluator;n=l.parent;l.new3D=0<e.getVariable(l.new3DStr);e.setVariable(l.wStr,l.w);e.setVariable(l.hStr,l.h);l.drawIfValue=0<e.eval(l.drawif);if(l.drawIfValue){C=l.x!==
e.eval(l.xExpr)+l.displaceRegionWest;E=l.y!==e.eval(l.yExpr)+n.plecaHeight+l.displaceRegionNorth;l.spaceChange=a||C||E||l.drawBefore!==l.drawIfValue||l.Ox!==e.getVariable(l.OxStr)||l.Oy!==e.getVariable(l.OyStr)||l.scale!==e.getVariable(l.scaleStr);l.x=C?e.eval(l.xExpr)+l.displaceRegionWest:l.x;l.y=E?e.eval(l.yExpr)+n.plecaHeight+l.displaceRegionNorth:l.y;l.Ox=e.getVariable(l.OxStr);l.Oy=e.getVariable(l.OyStr);l.scale=e.getVariable(l.scaleStr);l.drawBefore=l.drawIfValue;if(a||void 0==l.observer){a=
0;for(var c=l.parent.controls.length;a<c;a++)l.parent.controls[a].id===l.obsStr&&(oa=!0);l.observer=oa?e.getVariable(l.obsStr)||2.5*l.w_plus_h:2.5*l.w_plus_h;l.observer=b(l.observer,.25*l.w_plus_h);e.setVariable(l.obsStr,l.observer)}l.new3D?(void 0==e.getVariable(l.xOStr)&&e.setVariable(l.xOStr,l.observer/l.scale*t),void 0==e.getVariable(l.yOStr)&&e.setVariable(l.yOStr,0),void 0==e.getVariable(l.zOStr)&&e.setVariable(l.zOStr,l.observer/l.scale*w),void 0==e.getVariable(l.AOStr)&&e.setVariable(l.AOStr,
0),void 0==e.getVariable(l.BOStr)&&e.setVariable(l.BOStr,345),void 0==e.getVariable(l.COStr)&&e.setVariable(l.COStr,0),l.xO=e.getVariable(l.xOStr),l.yO=e.getVariable(l.yOStr),l.zO=e.getVariable(l.zOStr),l.AO=e.getVariable(l.AOStr),l.BO=e.getVariable(l.BOStr),l.CO=e.getVariable(l.COStr),l.zoom=e.getVariable(l.zoomStr),l.eye={x:parseFloat(e.getVariable(l.xOStr)),y:parseFloat(e.getVariable(l.yOStr)),z:parseFloat(e.getVariable(l.zOStr))}):(l.eye={x:l.observer/l.scale*t,y:0,z:l.observer/l.scale*w},l.D=
l.scale*l.eye.x/t,l.XE=h(l.scale*l.eye.y+.5),l.YE=h(l.scale*l.eye.z+.5),l.observer=b(e.getVariable(l.obsStr),.25*l.w_plus_h),l.observer!=e.getVariable(l.obsStr)&&(e.setVariable(l.obsStr,l.observer),l.parent.updateControls()));1E-6>l.scale?(l.scale=1E-6,e.setVariable(l.scaleStr,1E-6)):1E6<l.scale&&(l.scale=1E6,e.setVariable(l.scaleStr,1E6));if(C||E)l.container.style.left=l.x+"px",l.container.style.top=l.y+"px";l.container.style.display="block";l.dim=e.getVariable(l.userIDimStr);l.userIntensity=e.getVariable(l.userIIStr);
l.light3={x:parseInt(e.getVariable(l.userIxStr)),y:parseInt(e.getVariable(l.userIyStr)),z:parseInt(e.getVariable(l.userIzStr))};l.updateCamera();l.draw()}else l.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++){v=this.graphics[a];if(v.split||
this.split)for(var c=a+1;c<b;c++)x=this.graphics[c],(x.split||this.split)&&v.splitFace(x);this.primitives=this.primitives.concat(v.primitives||[])}B=this.primitives;D=B.length;for(a=0;a<D;a++)B[a].computeDepth(this);if("painter"===this.render)this.drawPainter(B);else for(B=B.sort(p),a=0;a<D;a++)B[a].passDraw&&B[a].draw(this.ctx,this);a=0;for(b=this.graphicsCtr.length;a<b;a++)this.graphicsCtr[a].draw()};var V;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,e=[],d=[];V=b.shift();for(var h=0,k=b.length;h<k;h++){c=null;for(var f=0,g=b[h].spaceVertices.length;f<g;f++)whereIs=2<V.spaceVertices.length?this.inPlane2(V.spaceVertices[0],V.normal,b[h].spaceVertices[f]):0,whereIs=0<V.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)e.push(b[h]);else if("front"===c)d.push(b[h]);else if(null==c)e.push(b[h]);else{c=null;f=0;for(g=V.spaceVertices.length;f<g;f++)whereIs=2<b[h].spaceVertices.length?this.inPlane2(b[h].spaceVertices[0],b[h].normal,V.spaceVertices[f]):-1,whereIs=0<b[h].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?e.push(b[h]):d.push(b[h])}}b=new a.renderNode(V);b.back=this.buildTree(e);b.front=this.buildTree(d);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].passDraw&&a[b].draw(this.ctx,this)}};a.Space3D.prototype.inPlane=function(a,b,c,e){return parseFloat(((e.x-a.x)*(b.y-a.y)*(c.z-a.z)+(e.y-a.y)*(b.z-a.z)*(c.x-a.x)+(e.z-a.z)*(b.x-a.x)*(c.y-a.y)-(e.z-a.z)*(b.y-a.y)*(c.x-a.x)-(e.y-a.y)*(b.x-a.x)*(c.z-a.z)-(e.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)).toFixed(8))};a.Space3D.prototype.updateCamera=function(){l=this;l.new3D?(l.D=l.scale*l.eye.x/t,l.XE=h(l.scale*l.eye.y+.5),l.YE=h(l.scale*l.eye.z+.5)):(l.D=l.observer,l.eye.x=l.D/l.scale,l.eye.y=l.XE/l.scale,l.eye.z=l.YE/l.scale)};a.Space3D.prototype.rotateVertex=function(b){I=a.degToRad(l.evaluator.getVariable(l.rotZStr));M=u(I);y=k(I);g=b.x*M-b.y*y;d=b.x*y+b.y*M;f=b.z;I=a.degToRad(l.evaluator.getVariable(l.rotYStr));
M=u(I);y=k(I);return{x:f*y+g*M,y:d,z:f*M-g*y}};var pa,ka,X,Y,qa,la,da,Z,ra,ma,aa,ba,sa,ta,ua,va,wa,xa,ya,za,Aa,ea,fa,ga,ha,Ba,Ca,na;a.Space3D.prototype.project=function(a){l=this;if(l.new3D){J=l.eye.x-a.x;A=l.eye.y-a.y;z=l.eye.z-a.z;var b=r(J*J+A*A+z*z);H=-a.x/b||0;pa=l.AO%360;ka=pa*Math.PI/180;X=Math.cos(ka);Y=Math.sin(ka);qa=l.BO%360;la=qa*Math.PI/180;da=Math.cos(la);Z=Math.sin(la);ra=l.CO%360;ma=ra*Math.PI/180;aa=Math.cos(ma);ba=Math.sin(ma);sa=da*X;ta=-aa*da*Y-ba*Z;ua=-ba*da*Y+aa*Z;va=Y;wa=aa*
X;xa=ba*X;ya=-Z*X;za=aa*Z*Y-ba*X;Aa=ba*Z*Y+aa*X;ea=-l.eye.x+a.x;fa=-l.eye.y+a.y;ga=-l.eye.z+a.z;ha=sa*ea+va*fa+ya*ga;Ba=ta*ea+wa*fa+za*ga;Ca=ua*ea+xa*fa+Aa*ga;na=parseFloat(l.evaluator.getVariable(l.zoomStr));return{x:this.getAbsoluteX(-na*Ba/ha),y:this.getAbsoluteY(-na*Ca/ha),z:0<ha?-b:b}}J=l.eye.x-a.x;A=l.eye.y-a.y;z=l.eye.z-a.z;b=r(J*J+A*A+z*z);H=-a.x/b||0;J=this.w_2+this.Ox+l.scale*(a.y+H*(l.eye.y-a.y));A=this.h_2+this.Oy-l.scale*(a.z+H*(l.eye.z-a.z));return{x:J,y:A,z:b}};a.Space3D.prototype.computeColor=
function(b,e,d){b.match("rgba")?b=a.RGBAToHexColor(b):b.match("#")&&(b=new a.Color(b.substring(1)));Q=a.subtract3D(this.eye,e.average);S=a.norm3D(Q);ca=a.scalarProduct3D(Q,1/S);this.lights[3]=a.subtract3D(this.light3,e.average);T=a.norm3D(this.lights[3]);for(var h=0,k=this.intensity.length-1;h<k;h++)O[h]=this.intensity[h]*this.dim;O[3]=this.userIntensity*this.userIntensity/T||0;U=d?this.dim/2:this.dim/4;R=0;P=0<=e.direction?e.normal:a.scalarProduct3D(e.normal,-1);h=0;for(k=this.lights.length;h<k;h++)d?
(R=Math.max(0,a.dotProduct3D(c(this.lights[h],P),ca)),R*=R*R):R=Math.max(0,a.dotProduct3D(this.lights[h],P)),U+=O[h]*R;U=Math.min(U,1);L=m(b.r*U);K=m(b.g*U);N=m(b.b*U);return"rgba("+L+","+K+","+N+","+b.a+")"};a.Space3D.prototype.addEvents=function(){function b(a){document.body.focus();f.click=0;f.evaluator.setVariable(f.id+".mouse_pressed",0);window.removeEventListener("touchmove",k,!1);window.removeEventListener("touchend",b,!1);a.preventDefault()}function c(b){document.body.focus();f.click=0;f.evaluator.setVariable(f.id+
".mouse_pressed",0);b.preventDefault();"R"===f.whichBtn&&(window.removeEventListener("mousemove",d,!1),f.posZoom==f.posZoomNew&&a.showConfig&&f.parent.externalSpace.show());window.removeEventListener("mousemove",k,!1);window.removeEventListener("mouseup",c,!1);f.parent.update()}function e(b){f.posAnte=a.getCursorPosition(b,f.container);f.mouse_x=f.getRelativeX(f.posAnte.x);f.mouse_y=f.getRelativeY(f.posAnte.y);f.evaluator.setVariable(f.id+".mouse_x",f.mouse_x);f.evaluator.setVariable(f.id+".mouse_y",
f.mouse_y);70<Date.now()-g&&(f.parent.update(),g=Date.now())}function d(b){b.preventDefault();f.posZoomNew=a.getCursorPosition(b,f.container).y;f.evaluator.setVariable(f.scaleStr,f.tempScale+f.tempScale/45*((f.posZoom-f.posZoomNew)/10));f.posObserverNew=a.getCursorPosition(b,f.container).x;f.evaluator.setVariable(f.obsStr,f.tempObserver-2.5*(f.posObserver-f.posObserverNew));f.parent.update()}function k(b){if(!f.fixed&&f.click){F=parseInt(50*(f.oldMouse.x-f.mouse_x));G=parseInt(50*(f.oldMouse.y-f.mouse_y));
if(F!==f.disp.x||G!==f.disp.y)f.alpha=a.degToRad(f.evaluator.getVariable(f.rotZStr)),f.beta=a.degToRad(-f.evaluator.getVariable(f.rotYStr)),f.alpha=h(a.radToDeg(f.alpha)-F),f.beta=h(a.radToDeg(f.beta)-G),f.evaluator.setVariable(f.rotZStr,f.alpha),f.evaluator.setVariable(f.rotYStr,-f.beta),f.disp.x=F,f.disp.y=G,f.oldMouse.x=f.getRelativeX(f.posAnte.x),f.oldMouse.y=f.getRelativeY(f.posAnte.y);e(b);b.preventDefault()}}var f=this,g=0;this.canvas.oncontextmenu=function(){return!1};this.canvas.addEventListener("touchstart",
function(c){document.body.focus();f.click=1;f.evaluator.setVariable(f.id+".mouse_pressed",1);f.parent.deactivateGraphiControls();f.posAnte=a.getCursorPosition(c,f.container);f.oldMouse.x=f.getRelativeX(f.posAnte.x);f.oldMouse.y=f.getRelativeY(f.posAnte.y);e(c);window.addEventListener("touchmove",k);window.addEventListener("touchend",b);c.preventDefault()});this.canvas.addEventListener("mousedown",function(b){document.body.focus();f.click=1;f.parent.deactivateGraphiControls();f.whichBtn=a.whichBtn(b);
"R"===f.whichBtn?(window.addEventListener("mouseup",c),f.posObserver=a.getCursorPosition(b,f.container).x,f.posObserverNew=f.posObserver,f.posZoom=a.getCursorPosition(b,f.container).y,f.posZoomNew=f.posZoom,f.fixed||(f.tempScale=f.scale,f.tempObserver=f.observer,window.addEventListener("mousemove",d))):"L"==f.whichBtn&&(f.evaluator.setVariable(f.id+".mouse_pressed",1),f.posAnte=a.getCursorPosition(b,f.container),f.oldMouse.x=f.getRelativeX(f.posAnte.x),f.oldMouse.y=f.getRelativeY(f.posAnte.y),e(b),
window.addEventListener("mousemove",k),window.addEventListener("mouseup",c));b.preventDefault()});this.disp={x:0,y:0}};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g;a.SpaceAP=function(d,f){a.Space.call(this,d,f);this.eVars=this.iVars=null;g=d.evaluator;this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=g.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&this.file.match(/\'$/)?this.file=g.parser.parse(this.file):this.file=g.parser.parse("'"+
this.file+"'");this.oldFile=g.eval(this.file);this.initFile()};a.extend(a.SpaceAP,a.Space);a.SpaceAP.prototype.initFile=function(){this.firstUpdate=!0;var d;if(this.oldFile){var f=document.getElementById(this.oldFile);d=f&&"descartes/spaceApFile"==f.type?f.text:a.openExternalFile(this.oldFile);null!=d&&(d=d.split("\n"))}if(d&&d.toString().match(/<applet/gi)){for(var f="",g=!1,c=0,m=d.length;c<m&&(d[c].match("<applet")&&(g=!0),g&&(f+=d[c]),!d[c].match("</applet"));c++);d=document.createElement("div");
d.innerHTML=f;d.firstChild.setAttribute("width",this.w);d.firstChild.setAttribute("height",this.h);f=this.descApp?this.descApp.container:null;this.descApp=new a.DescartesApp(d.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+";");f?this.parent.container.replaceChild(this.descApp.container,
f):this.parent.container.insertBefore(this.descApp.container,this.parent.loader);this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none";var h=this;this.descApp.update=function(){this.updateAuxiliaries();this.updateEvents();this.updateControls();this.updateSpaces();h.exportar()}}else f=this.descApp?this.descApp.container:null,this.descApp={},this.descApp.container=document.createElement("div"),this.descApp.container.setAttribute("class","DescartesAppContainer"),d="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?d+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat;":"stretch"==this.bg_display?d+="background-image: url("+this.imageSrc+"); background-repeat:no-repeat; background-size: 100% 100%;":"patch"==this.bg_display?d+="background-image: url("+this.imageSrc+");":"imgcenter"==this.bg_display&&(d+="background-image: url("+this.imageSrc+
"); background-repeat:no-repeat; background-position: center center;")),this.descApp.container.setAttribute("style",d),f?this.parent.container.replaceChild(this.descApp.container,f):this.parent.container.insertBefore(this.descApp.container,this.parent.loader),this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none"};a.SpaceAP.prototype.update=function(){var a=this.evaluator.eval(this.file);if(this.oldFile!=a)this.oldFile=a,this.initFile();else{var a=this.x!=this.evaluator.eval(this.xExpr),
f=this.y!=this.evaluator.eval(this.yExpr)+this.plecaHeight;this.x=a?this.evaluator.eval(this.xExpr):this.x;this.y=f?this.evaluator.eval(this.yExpr)+this.plecaHeight:this.y;a&&(this.descApp.container.style.left=this.x+"px");f&&(this.descApp.container.style.top=this.y+"px");this.descApp.container.style.display=0<this.evaluator.eval(this.drawif)?"block":"none";if(this.firstUpdate&&(this.firstUpdate=!1,null==this.iVars)){this.iVars=[];for(var g in this.evaluator.variables)this.evaluator.variables.hasOwnProperty(g)&&
g.match(/^public./)&&this.iVars.push({varName:g,value:this.evaluator.getVariable(g)})}this.importar()}};a.SpaceAP.prototype.importar=function(){for(var a,f=!1,g=0,c=this.iVars.length;g<c;g++)a=this.evaluator.getVariable(this.iVars[g].varName),a!=this.iVars[g].value&&(this.iVars[g].value=a,this.descApp.evaluator.setVariable(this.iVars[g].varName,this.iVars[g].value),f=!0);f&&this.descApp.update()};a.SpaceAP.prototype.exportar=function(){};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;
var g,d,f,p,c,m;a.SpaceHTML_IFrame=function(c,b){a.Space.call(this,c,b);g=this.parent.evaluator;if(void 0!=this._w_){var d=g.parser.parse(this._w_);this._w_="number"!=d.type?d:void 0}void 0!=this._h_&&(d=g.parser.parse(this._h_),this._h_="number"!=d.type?d:void 0);this.isFirefox=/firefox/i.test(window.navigator.userAgent);this.file=this.file?this.file.trim():"";this.file.match(/^\[/)&&this.file.match(/\]$/)?this.file=g.parser.parse(this.file.substring(1,this.file.length-1)):this.file.match(/^\'/)&&
this.file.match(/\'$/)?this.file=g.parser.parse(this.file):this.file=g.parser.parse("'"+this.file+"'");this.oldFile=g.eval(this.file);this.MyIFrame=document.createElement("iframe");0!=this.oldFile&&this.MyIFrame.setAttribute("src",this.oldFile);this.MyIFrame.setAttribute("marginheight",0);this.MyIFrame.setAttribute("marginwidth",0);this.MyIFrame.setAttribute("frameborder",0);this.MyIFrame.setAttribute("scrolling","auto");this.MyIFrame.setAttribute("style","position:static;left:0px;top:0px;");this.container=
document.createElement("div");this.container.setAttribute("id",this.id);this.container.setAttribute("style",(a.isIOS?"overflow:scroll;-webkit-overflow-scrolling:touch;overflow-scrolling:touch;":"")+"position:absolute; width:"+this.w+"px;height:"+this.h+"px;left:"+this.x+"px;top:"+this.y+"px;z-index:"+this.zIndex+";background-repeat:no-repeat;background-position:center;");this.container.appendChild(this.MyIFrame);this.imageSrc&&(this.container.style.backgroundImage="url("+this.imageSrc+")");this.parent.container.insertBefore(this.container,
this.parent.loader);var f=this;this.MyIFrame.onload=function(a){var b=this;f.evaluator.setFunction(f.id+".set",function(a,c){b.contentWindow.postMessage({type:"set",name:a,value:c},"*");return 0});f.evaluator.setFunction(f.id+".update",function(){b.contentWindow.postMessage({type:"update"},"*");return 0});f.evaluator.setFunction(f.id+".exec",function(a,c){b.contentWindow.postMessage({type:"exec",name:a,value:c},"*");return 0});f.ImReady=!f.isFirefox;f.isFirefox||(f.container.style.visibility="visible",
f.container.style.opacity="1",f.container.style.zIndex=f.zIndex,f.container.style.display=f.drawIfValue?"block":"none");f.MyIFrame.style.visibility="visible";f.container.style.backgroundImage=""};this.update=this.iframeUpdate;this.evaluator.setVariable(this.id+"._scroll",0)};a.extend(a.SpaceHTML_IFrame,a.Space);a.SpaceHTML_IFrame.prototype.init=function(){c=this;c.uber.init.call(c);c.MyIFrame&&(c.MyIFrame.style.width=c.w+"px",c.MyIFrame.style.height=c.h+"px",c.MyIFrame.style.left=c.x+"px",c.MyIFrame.style.top=
c.y+"px")};a.SpaceHTML_IFrame.prototype.iframeUpdate=function(a){g=this.evaluator;this.drawIfValue=0<g.eval(this.drawif);this.ImReady?this.container.style.display=this.drawIfValue?"block":"none":(this.container.style.visibility=this.drawIfValue?"visible":"hidden",this.container.style.opacity=this.drawIfValue?"1":"0",this.container.style.zIndex=this.drawIfValue?this.zIndex:-1E3);if(this.drawIfValue){this.MyIFrame.contentWindow.focus();a&&(this.y=this.x=Infinity);d=this.x!==g.eval(this.xExpr)+this.displaceRegionWest;
f=this.y!==g.eval(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth;this.x=d?g.eval(this.xExpr)+this.displaceRegionWest:this.x;this.y=f?g.eval(this.yExpr)+this.parent.plecaHeight+this.displaceRegionNorth:this.y;void 0!=this._w_&&(a=g.eval(this._w_),this.w!==a&&(this.container.style.width=a+"px",this.MyIFrame.style.width=a+"px",this.w=a));void 0!=this._h_&&(a=g.eval(this._h_),this.h!==a&&(this.container.style.height=a+"px",this.MyIFrame.style.height=a+"px",this.h=a));if(d||f)this.container.style.left=
this.x+"px",this.container.style.top=this.y+"px";p=g.eval(this.file);p!==this.oldFile&&(this.ImReady=!1,this.isFirefox||(this.container.style.display="block",this.container.style.visibility=this.drawIfValue?"visible":"hidden",this.container.style.opacity=this.drawIfValue?"1":"0",this.container.style.zIndex=this.drawIfValue?this.zIndex:-1E3),this.imageSrc&&(this.container.style.backgroundImage="url("+this.imageSrc+")"),this.MyIFrame.style.visibility="hidden",this.oldFile=p,this.MyIFrame.contentWindow.location.replace(p));
m=g.getVariable(this.id+"._scroll");1==m?(this.MyIFrame.setAttribute("scrolling","yes"),this.MyIFrame.style.overflow=""):-1==m?(this.MyIFrame.setAttribute("scrolling","no"),this.MyIFrame.style.overflow="hidden"):(this.MyIFrame.setAttribute("scrolling","auto"),this.MyIFrame.style.overflow="")}else this.MyIFrame.contentWindow.blur()};return a}(descartesJS||{}),descartesJS=function(a){if(a.loadLib)return a;var g,d,f;a.DescartesLoader=function(c){var d=this;this.children=c.children;this.lessonParser=
c.lessonParser;this.images=c.images;this.images.length=c.images.length;this.audios=c.audios;this.audios.length=c.audios.length;this.descartesApp=c;var h=c.imgLoader?c.imgLoader:p(c.loader.width,c.loader.height);this.imageLoader=document.createElement("div");this.imageLoader.width=c.width;this.imageLoader.height=c.height;this.imageLoader.setAttribute("class","DescartesLoaderImage");this.imageLoader.setAttribute("style","background-image:url("+h+");background-size:cover;width:"+c.width+"px;height:"+
c.height+"px;");c.loader.appendChild(this.imageLoader);this.loaderBar=document.createElement("canvas");this.loaderBar.width=c.width;this.loaderBar.height=c.height;this.loaderBar.setAttribute("class","DescartesLoaderBar");this.loaderBar.setAttribute("style","width:"+c.width+"px;height:"+c.height+"px;");this.loaderBar.ctx=this.loaderBar.getContext("2d");c.loader.appendChild(this.loaderBar);this.barWidth=80;this.barHeight=Math.floor(c.loader.height/70);this.timer=a.setInterval(function(){d.drawLoaderBar(d.loaderBar.ctx,
c.width,c.height)},10);c.firstRun=!1;this.initPreloader()};a.DescartesLoader.prototype.initPreloader=function(){var c=this.children,d=this.images,h=this.audios,b=/[\w\.\-//]*(\.png|\.jpg|\.gif|\.svg)/gi,f=/[\w\.\-//]*(\.ogg|\.oga|\.mp3|\.wav)/gi;d["lib/DescartesCCLicense.png"]=a.getCCLImg();d["lib/DescartesCCLicense.png"].addEventListener("load",function(){this.ready=1});d["lib/DescartesCCLicense.png"].addEventListener("error",function(){this.errorload=1});var k,g,q,p,w,e;q=0;for(w=c.length;q<w;q++)if("rtf"!==
c[q].name){if(c[q].value.match(/'macro'|'makro'/g)){p="";var n;k=this.lessonParser.split(c[q].value);g=0;for(e=k.length;g<e;g++)"expresion"===babel[k[g][0]]&&(p=k[g][1]);p&&((n=document.getElementById(p))&&"descartes/macro"==n.type?n=n.text:(n=a.openExternalFile(p))&&!n.match(/tipo_de_macro/g)&&(n=null));if(n&&(k=n.match(b)))for(p=0,e=k.length;p<e;p++)g=k[p],g.toLowerCase().match(/vacio.gif$/)||""==g.substring(0,g.length-4)||(d[g]=new Image,d[g].addEventListener("load",function(){this.ready=1}),d[g].addEventListener("error",
function(){this.errorload=1}),d[g].src=g)}if(k=c[q].value.match(b))for(p=0,e=k.length;p<e;p++)g=k[p],g.toLowerCase().match(/vacio.gif$/)||""==g.substring(0,g.length-4)||(d[g]=new Image,d[g].addEventListener("load",function(){this.ready=1}),d[g].addEventListener("error",function(){this.errorload=1}),d[g].src=g);if(k=c[q].value.match(f))for(p=0,g=k.length;p<g;p++)this.initAudio(k[p])}for(var l in d)d.hasOwnProperty(l)&&this.images.length++;for(l in h)h.hasOwnProperty(l)&&this.audios.length++;var v=
this,x=this.images.length+this.audios.length;this.sep=2*(this.barWidth-2)/x;var B=function(){v.readys=0;for(var b in d)d.hasOwnProperty(b)&&(d[b].ready||d[b].errorload)&&v.readys++;for(b in v.audios)h.hasOwnProperty(b)&&(h[b].ready||h[b].errorload)&&v.readys++;v.readys!=x?a.setTimeout(B,30):(a.clearInterval(v.timer),v.descartesApp.initBuildApp())};B()};a.DescartesLoader.prototype.initAudio=function(c){var d=this.audios;d[c]=new Audio(c);d[c].filename=c;var h=function(){this.ready=1},b=function(){this.canPlayType("audio/"+
this.filename.substring(this.filename.length-3))||"mp3"!=this.filename.substring(this.filename.length-3)?(console.log("El archivo '"+c+"' no puede ser reproducido"),this.errorload=1):(d[c]=new Audio(this.filename.replace("mp3","ogg")),d[c].filename=this.filename.replace("mp3","ogg"),d[c].addEventListener("canplaythrough",h),d[c].addEventListener("load",h),d[c].addEventListener("error",b),d[c].load())};d[c].addEventListener("canplaythrough",h);d[c].addEventListener("load",h);d[c].addEventListener("error",
b);a.hasTouchSupport?(d[c].load(),d[c].play(),a.setTimeout(function(){d[c].pause()},20),d[c].ready=1):d[c].load()};a.DescartesLoader.prototype.drawLoaderBar=function(a,m,h){d=this.barWidth;f=this.barHeight;a.translate(m/2,(h-65*g)/2+90*g);a.scale(g,g);a.strokeRect(-d,-f,2*d,f);a.fillStyle="#888";a.fillRect(-d+2,-f+2,2*(d-2),f-4);a.fillStyle="#1f358d";a.fillRect(-d+2,-f+2,this.readys*this.sep,f-4);a.setTransform(1,0,0,1,0,0)};var p=function(c,d){var h=document.createElement("canvas"),b=5E6<c*a._ratio*
d*a._ratio?1:a._ratio;h.width=c*b;h.height=d*b;h.style.width=c+"px";h.style.height=d+"px";var f=h.getContext("2d");f.save();f.setTransform(b,0,0,b,0,0);f.strokeStyle=f.fillStyle="#1f358d";f.lineCap="round";f.lineWidth=2;f.beginPath();g=c<d?c/360:d/195;g=2.5<g?2.5:g;f.translate((c-120*g)/2,(d-65*g)/2);f.scale(g,g);f.moveTo(3,25);f.lineTo(3,1);f.lineTo(21,1);f.bezierCurveTo(33,1,41,15,41,25);f.stroke();f.beginPath();f.moveTo(1,63);f.lineTo(1,64);f.moveTo(5,62);f.lineTo(5,64);f.moveTo(9,61);f.lineTo(9,
64);f.moveTo(13,60);f.lineTo(13,64);f.moveTo(17,58);f.lineTo(17,64);f.moveTo(21,56);f.lineTo(21,64);f.moveTo(25,53);f.lineTo(25,64);f.moveTo(29,50);f.lineTo(29,64);f.moveTo(33,46);f.lineTo(33,64);f.moveTo(37,41);f.lineTo(37,64);f.moveTo(41,32);f.lineTo(41,64);f.stroke();f.font="20px descartesJS_sansserif, Arial, Helvetica, Sans-serif";f.fillText("escartes",45,33);f.fillText("JS",98,64);f.restore();return h.toDataURL()};return a}(descartesJS||{}),descartesJS=function(a){function g(a){for(var b="[",
c=0,d=a.length;c<d;c++)a[c]instanceof Array?b+=g(a[c]):(f=a[c],"undefined"!=typeof f&&f||(f=0),"string"==typeof f&&(f="'"+f+"'"),b+=f),c<d-1&&(b+=",");return b+"]"}function d(){p=window.innerWidth/this.width;c=window.innerHeight/this.height;m=Math.min(p,c);a.cssScale=m.toFixed(3);this.container.parentNode.setAttribute("align","");this.container.style.transformOrigin="0 0";p<c?(this.container.style.left="",this.container.style.transform="perspective(1px) scale("+m+") translate3d(0, 0, 0)"):(this.container.style.left=
"50%",this.container.style.transform="perspective(1px) scale("+m+") translate3d(-50%, 0, 0)")}if(a.loadLib)return a;a.DescartesApp=function(c){this.animation={playing:!1,stop:function(){}};this.applet=c;this.parentC=c.parentNode;this.width=parseFloat(c.getAttribute("width"));this.height=parseFloat(c.getAttribute("height"));this.decimal_symbol=".";this.decimal_symbol_regexp=new RegExp("\\"+this.decimal_symbol,"g");this.language="espa\u00f1ol";this.children=c.getElementsByTagName("param");a.ccLicense=
!0;for(var b=0,d=this.children.length;b<d;b++)"creativeCommonsLicense"===this.children[b].name&&(a.ccLicense="no"===this.children[b].value?!1:!0);this.code=c.getAttribute("code");this.saveState=[];this.images={};this.images.length=-1;this.audios={};this.audios.length=-1;this.firstRun=!0;this.scaleToFit=function(){};this.init()};a.DescartesApp.prototype.init=function(){this.stop();this.evaluator=new a.Evaluator(this);this.lessonParser=new a.LessonParser(this);this.arquimedes=/DescartesWeb2_0|Arquimedes|Discurso/i.test(this.code);
this.licenseA=a.ccLicense?"{\\rtf1\\uc0{\\fonttbl\\f0\\fcharset0 Arial;\\f1\\fcharset0 Arial;\\f2\\fcharset0 Arial;\\f3\\fcharset0 Arial;\\f4\\fcharset0 Arial;}{\\f0\\fs34 __________________________________________________________________________________\\par \\fs22                                        Los contenidos de esta unidad did\u00e1ctica interactiva est\u00e1n bajo una {\\*\\hyperlink licencia Creative Commons|http://creativecommons.org/licenses/by-nc-sa/4.0/}, si no se indica lo contrario.\\par                                        La unidad did\u00e1ctica fue creada con Arqu\u00edmedes, que es un producto de c\u00f3digo abierto, {\\*\\hyperlink Creditos|http://arquimedes.matem.unam.mx/Descartes5/creditos/conCCL.html}\\par }":
"";for(var c=this.children,b,f=0,k=0,g=a.ccLicense?90:0,m=0,p=c.length;m<p;m++)b=c[m],"rtf_height"==b.name&&(f=parseInt(b.value)||this.height),"Buttons"==babel[b.name]&&(this.buttonsConfig=this.lessonParser.parseButtonsConfig(b.value),k=this.buttonsConfig.height),"image_loader"==b.name&&(this.imgLoader=b.value),"expand"==b.name&&("cover"==b.value?this.expand=b.value:"fit"==b.value&&(this.scaleToFit=d)),"docBase"==b.name&&(this.docBase=b.value,b=document.createElement("base"),b.setAttribute("id","descartesJS_base"),
b.setAttribute("href",this.docBase),document.head.appendChild(b));this.expand&&"cover"==this.expand&&(this.width=window.innerWidth,this.height=window.innerHeight);this.arquimedes&&(a._ratio=1,f&&(this.height=f+k+g));this.spaces=[];this.externalSpace&&document.body.removeChild(this.externalSpace.container);this.externalSpace=new a.SpaceExternal(this);this.northSpace={container:document.createElement("div"),controls:[]};this.southSpace={container:document.createElement("div"),controls:[]};this.eastSpace=
{container:document.createElement("div"),controls:[]};this.westSpace={container:document.createElement("div"),controls:[]};this.editableRegion={container:document.createElement("div"),textFields:[]};a.Editor&&(this.editor=new a.Editor(this));this.controls=[];this.auxiliaries=[];this.events=[];this.nIframes=this.plecaHeight=this.tabindex=this.zIndex=0;void 0!=this.container&&this.parentC.removeChild(this.container);this.container=document.createElement("div");this.loader=document.createElement("div");
this.parentC.appendChild(this.container);this.container.width=this.width;this.container.height=this.height;this.container.setAttribute("class","DescartesAppContainer");this.container.setAttribute("style","width:"+this.width+"px;height:"+this.height+"px;");this.scaleToFit();this.container.appendChild(this.loader);this.loader.width=this.width;this.loader.height=this.height;this.loader.setAttribute("class","DescartesLoader");this.loader.setAttribute("style","width:"+this.width+"px;height:"+this.height+
"px;z-index:1000;");this.imgLoader&&(this.loader.style.backgroundColor="rgba(0,0,0,0)");this.firstRun?this.descartesLoader=new a.DescartesLoader(this):this.initBuildApp()};a.DescartesApp.prototype.initBuildApp=function(){a.showConfig=!0;for(var c=this.children,b=this.lessonParser,d=[],f=[],g=[],m=[],p=[],w=[],e,n=0,l=c.length;n<l;n++)if(e=c[n],"editable"==babel[e.name]&&(a.showConfig="false"==babel[e.value]?!1:!0),"language"==babel[e.name]&&(this.language=e.value),"pleca"==e.name)e=b.parsePleca(e.value,
this.width),this.container.insertBefore(e,this.loader),this.plecaHeight=e.imageHeight?e.imageHeight:e.offsetHeight;else if("Buttons"==babel[e.name])this.buttonsConfig=b.parseButtonsConfig(e.value);else if("decimal_symbol"==babel[e.name])this.decimal_symbol=e.value,this.decimal_symbol_regexp=new RegExp("\\"+this.decimal_symbol,"g");else if("version"==babel[e.name])this.version=parseInt(e.value);else if("language"==babel[e.name])this.language=e.value;else if("rtf"==e.name){var v=(this.width-780)/2,
x=parseInt(this.height)-this.plecaHeight-this.buttonsConfig.height-45;m.push("space='descartesJS_stage' type='text' expresion='[10,20]' background='yes' text='"+e.value.replace(/'/g,"&squot;")+"'");m.push("space='descartesJS_stage' type='text' expresion='["+v+","+(x-25)+"]' background='yes' text='"+this.licenseA+"'");a.ccLicense&&m.push("space='descartesJS_stage' type='image' expresion='["+(v+15)+","+x+"]' background='yes' abs_coord='yes' file='lib/DescartesCCLicense.png'")}else"E"==e.name.charAt(0)?
(e.value.match(/'HTMLIFrame'/)&&this.nIframes++,d.push(e.value)):/^C_/.test(e.name)?f.push(e.value):/^A_/.test(e.name)?g.push(e.value):/^G_/.test(e.name)?(e.value.match("tipo='relleno'")&&(a._ratio=1),m.push(e.value)):/^S_/.test(e.name)?p.push(e.value):"Animation"==babel[e.name]&&w.push(e.value);this.stage={container:document.createElement("div"),scroll:0};this.stage.container.setAttribute("id","descartesJS_Stage");this.stage.stageSpace=this.lessonParser.parseSpace("tipo='R2' id='descartesJS_stage' fondo='blanco' x='0' y='0' fijo='yes' red='no' red10='no' ejes='no' text='no' ancho='"+
this.width+"' alto='"+this.height+"'");this.stage.container.appendChild(this.stage.stageSpace.container);this.arquimedes&&(this.container.appendChild(this.stage.container),this.spaces.push(this.stage.stageSpace));n=0;for(l=d.length;n<l;n++)c=b.parseSpace(d[n]),this.arquimedes&&this.stage.container.appendChild(c.container),this.spaces.push(c),this.zIndex++;n=0;for(l=m.length;n<l;n++)if(d=b.parseGraphic(m[n]))d.visible&&(this.editableRegionVisible=!0),d.space.addGraph(d);n=0;for(l=p.length;n<l;n++)(d=
b.parse3DGraphic(p[n]))&&d.space.addGraph(d,!0);n=0;for(l=f.length;n<l;n++)this.controls.push(b.parseControl(f[n]));n=0;for(l=g.length;n<l;n++)b.parseAuxiliar(g[n]);n=0;for(l=w.length;n<l;n++)this.animation=b.parseAnimation(w[n]);this.configRegions();this.updateAuxiliaries();this.updateAuxiliaries();n=0;for(l=this.controls.length;n<l;n++)this.controls[n].init();this.updateControls();this.updateSpaces(!0);var B=this;this.nIframes?a.setTimeout(function(){B.finishInit()},200*this.nIframes):this.finishInit()};
a.DescartesApp.prototype.finishInit=function(){this.evaluator.setVariable("decimalSymbol",this.decimal_symbol);this.update();this.loader.style.display="none";window.parent!==window&&(this.parentC.style.margin="0px",this.parentC.style.padding="0px",window.parent.postMessage({type:"reportSize",href:window.location.href,width:this.width,height:this.height},"*"),window.parent.postMessage({type:"ready",value:window.location.href},"*"),a.onResize());window.opener&&window.opener.postMessage({type:"isResizeNeeded",
href:window.location.href},"*");this.externalSpace.init();if(this.arquimedes&&MathJax){var c=this.stage.stageSpace.container.style.left,b=this.stage.stageSpace.container.style.top,d=document.createElement("div");d.setAttribute("style","position:relative;left:"+c+";top:"+b+";text-align:left;margin:0;padding:18px 0 0 18px;");c={ctrs:[],spaces:[]};d.innerHTML=this.stage.stageSpace.backGraphics[0].text.toHTML(c);this.stage.stageSpace.container.style.visibility="hidden";this.stage.stageSpace.container.style.display=
"none";this.stage.container.replaceChild(d,this.stage.stageSpace.container);this.stage.container.style.background="#fff";this.container.style.height="100%";this.stage.container.style.height="100%";this.container.style.overflow="visible";b=document.createElement("div");b.setAttribute("style","padding-bottom:25px;");b.innerHTML="<br/><hr style='border-width:2px;'>";var f=document.createElement("a");f.setAttribute("href","https://creativecommons.org/licenses/by-nc-sa/4.0/");f.setAttribute("target","_blank");
b.appendChild(f);var g=a.getCCLImg();g.setAttribute("style","position:absolute;left:30px;padding-top:4px;");f.appendChild(g);f=document.createElement("div");f.setAttribute("style","display:inline-block;width:100%;text-align:left;");f.innerHTML=this.stage.stageSpace.backGraphics[1].text.toHTML();f.removeChild(f.firstChild);f.removeChild(f.firstChild);b.appendChild(f);d.appendChild(b);for(b=0;b<c.spaces.length;b++)f=c.spaces[b],f.value.container&&(d=document.getElementById(f.cID),g=f.value.container.style.border,
g=""!=g?"border:"+g+";":"",f.value.container.setAttribute("style",g),d.appendChild(f.value.container));for(b=0;b<c.ctrs.length;b++)if(f=c.ctrs[b],g=f.value.containerControl||f.value.container)d=document.getElementById(f.cID),g.setAttribute("style","width:"+f.value.w+"px;height:"+f.value.h+"px;"),d.appendChild(g);MathJax.Hub.Queue(["Typeset",MathJax.Hub])}};a.DescartesApp.prototype.adjustSize=function(){document.body.style.margin="0px";document.body.style.padding="0px";this.parentC.style.margin="0px";
this.parentC.style.padding="0px";var c=parseInt(this.width)+30,b=parseInt(this.height)+90;window.moveTo((parseInt(screen.width)-c)/2,(parseInt(screen.height)-b)/2);window.resizeTo(c,b);a.onResize()};a.DescartesApp.prototype.adjustDimensions=function(){var a,b,c;if(void 0==this.init_w||void 0==this.init_h)this.init_w=parseInt(this.container.style.width),this.init_h=parseInt(this.container.style.height);b=parseInt(this.parentC.offsetWidth);a=this.init_w;c=b/a;a>b?(this.parentC!=document.body&&(this.parentC.style.height=
this.init_h*c+"px"),this.percent=c,this.container.style.webkitTransform=this.container.style.MozTransform="scale("+c+")",this.container.style.webkitTransformOrigin=this.container.style.MozTransformOrigin="top left"):(this.parentC!=document.body&&(this.parentC.style.height="auto"),this.percent=1,this.container.style.webkitTransform=this.container.style.MozTransform="",this.container.style.webkitTransformOrigin=this.container.style.MozTransformOrigin="")};a.DescartesApp.prototype.configRegions=function(){var c=
this.evaluator.parser,b=this.buttonsConfig,d=this.container,f="15",g=100,m=100,p=100,w=100;2==this.version&&(f="14",g=63,m=50,p=44,w=53);var e=0,n=0,l=0,v=l=0,x=0,B=0,D=0,C=0,B=this.northSpace.controls,E=this.southSpace.controls,F=this.eastSpace.controls,G=this.westSpace.controls;if(0<b.rowsNorth||0<B.length||b.about||b.config){0>=b.rowsNorth?(e=b.height,b.rowsNorth=1):e=b.height*b.rowsNorth;x=this.northSpace.container;x.setAttribute("id","descartesJS_north");x.setAttribute("style","width:"+d.width+
"px; height:"+e+"px; background:#c0c0c0; position:absolute; left:0px; top: "+this.plecaHeight+"px; z-index:100;");d.insertBefore(x,this.loader);var x=d.width,J=0;b.about?(J=g,x-=J):g=0;b.config&&(x-=m);for(var A=Math.ceil(B.length/b.rowsNorth),z=x/A,l=0,H=B.length;l<H;l++)B[l].expresion=c.parse("("+(J+l%A*z)+","+b.height*Math.floor(l/A)+","+z+","+b.height+")"),B[l].drawif=c.parse("1"),B[l].init();b.about&&(l=new a.Button(this,{region:"north",name:"english"==this.language?"about":"cr\u00e9ditos",font_size:c.parse(f),
expresion:c.parse("(0, 0, "+g+", "+e+")")}),l.actionExec={execute:a.showAbout},l.update());b.config&&(new a.Button(this,{region:"north",name:"config",font_size:c.parse(f),action:"config",expresion:c.parse("("+(x+g)+", 0, "+m+", "+e+")")})).update()}if(0<b.rowsSouth||0<E.length||b.init||b.clear){0>=b.rowsSouth?(n=b.height,b.rowsSouth=1):n=b.height*b.rowsSouth;B=d.width;J=0;b.init?(J=p,B-=J):p=0;b.clear&&(B-=w);x=this.southSpace.container;x.setAttribute("id","descartesJS_south");x.setAttribute("style",
"width:"+d.width+"px; height:"+n+"px; background:#c0c0c0; position:absolute; left: 0px; top:"+(d.height-n)+"px; z-index:100;");d.insertBefore(x,this.loader);A=Math.ceil(E.length/b.rowsSouth);z=B/A;l=0;for(H=E.length;l<H;l++)E[l].expresion=c.parse("("+(J+l%A*z)+","+b.height*Math.floor(l/A)+","+z+","+b.height+")"),E[l].drawif=c.parse("1"),E[l].init();b.init&&(new a.Button(this,{region:"south",name:"english"==this.language?"init":"inicio",font_size:c.parse(f),action:"init",expresion:c.parse("(0, 0, "+
p+", "+n+")")})).update();b.clear&&(new a.Button(this,{region:"south",name:"english"==this.language?"clear":"limpiar",font_size:c.parse(f),action:"clear",expresion:c.parse("("+(B+p)+", 0, "+w+", "+n+")")})).update()}if(0<F.length)for(l=d.height-e-n,D=b.widthEast,x=this.eastSpace.container,x.setAttribute("id","descartesJS_east"),x.setAttribute("style","width:"+D+"px; height:"+l+"px; background:#c0c0c0; position:absolute; left:"+(d.width-D)+"px; top:"+e+"px; z-index:100;"),d.insertBefore(x,this.loader),
l=0,H=F.length;l<H;l++)F[l].expresion=c.parse("(0,"+b.height*l+","+D+","+b.height+")"),F[l].drawif=c.parse("1"),F[l].init();if(0<G.length)for(l=d.height-e-n,C=b.widthWest,x=this.westSpace.container,x.setAttribute("id","descartesJS_west"),x.setAttribute("style","width: "+C+"px; height: "+l+"px; background: #c0c0c0; position: absolute; left: 0px; top: "+e+"px; z-index: 100;"),d.insertBefore(x,this.loader),l=0,H=G.length;l<H;l++)G[l].expresion=c.parse("(0,"+b.height*l+","+C+","+b.height+")"),G[l].drawif=
c.parse("1"),G[l].init();if(this.editableRegionVisible)for(v=b.height,x=this.editableRegion.container,x.setAttribute("id","descartesJS_editableRegion"),x.setAttribute("style","width:"+d.width+"px; height:"+v+"px; position:absolute; left:0px; top:"+(d.height-n-b.height)+"px; z-index:100; background:#c0c0c0; overflow:hidden;"),d.insertBefore(x,this.loader),c=this.editableRegion.textFields,b=d.width/c.length,f=a.getFieldFontSize(v),l=0,H=c.length;l<H;l++)"div"==c[l].type?(x.appendChild(c[l].container),
c[l].container.setAttribute("style","font-family:descartesJS_sansserif,Arial,Sans-serif;width:"+(b-4)+"px;height:"+v+"px;position:absolute;left:"+l*b+"px;top:0;"),g=c[l].container.firstChild,g.setAttribute("style","font-family:descartesJS_sansserif,Arial,Sans-serif;font-size:"+f+"px;padding-top:0%;background-color:#e0e4e8;position:absolute;left:0;top:0;height:"+v+"px;text-align:center;line-height:"+v+"px;"),m=g.offsetWidth,g.style.width=m+"px",g.firstChild.textContent=g.firstChild.textContent.substring(3,
g.firstChild.textContent.length-3),c[l].container.lastChild.setAttribute("style","font-family:descartesJS_monospace,'Courier New',Monospace;font-size:"+f+"px;width:"+(b-m)+"px;height:"+v+"px;position:absolute;left:"+m+"px;top:0;border:2px groove white;")):(x.appendChild(c[l]),c[l].setAttribute("style","font-family:descartesJS_monospace,'Courier New',Monospace;font-size:"+f+"px;width:"+b+"px;height:"+v+"px;position:absolute;left:"+l*b+"px;top:0;border:2px groove white;"));this.displaceRegionNorth=
e;this.displaceRegionWest=C;d.width-=D;d.height=d.height-n-v;l=0;for(H=this.spaces.length;l<H;l++)this.spaces[l].init()};a.DescartesApp.prototype.update=function(){this.updateAuxiliaries();this.updateControls();this.updateEvents();this.updateControls();this.updateSpaces()};a.DescartesApp.prototype.clearClick=function(){for(var a=0,b=this.spaces.length;a<b;a++)this.spaces[a].clearClick()};a.DescartesApp.prototype.deactivateGraphiControls=function(){for(var a,b=0,c=this.controls.length;b<c;b++)a=this.controls[b],
"graphic"==a.type&&a.deactivate()};a.DescartesApp.prototype.updateAuxiliaries=function(){for(var a=0,b=this.auxiliaries.length;a<b;a++)this.auxiliaries[a].update()};a.DescartesApp.prototype.updateEvents=function(){for(var a=0,b=this.events.length;a<b;a++)this.events[a].update()};a.DescartesApp.prototype.updateControls=function(){for(var a=0,b=this.controls.length;a<b;a++)this.controls[a].update()};a.DescartesApp.prototype.updateSpaces=function(a){for(var b=0,c=this.spaces.length;b<c;b++)this.spaces[b].update(a)};
a.DescartesApp.prototype.clear=function(){for(var a=0,b=this.spaces.length;a<b;a++)this.spaces[a].spaceChange=!0,this.spaces[a].drawBackground&&this.spaces[a].drawBackground()};a.DescartesApp.prototype.play=function(){this.animation&&this.animation.play()};a.DescartesApp.prototype.stop=function(){this.animation&&this.animation.stop()};a.DescartesApp.prototype.reinitAnimation=function(){this.animation&&this.animation.reinit()};a.DescartesApp.prototype.stopAudios=function(){this.stop();for(var a in this.audios)this.audios.hasOwnProperty(a)&&
this.audios[a].pause&&(this.audios[a].pause(),this.audios[a].currentTime=0)};a.DescartesApp.prototype.getImage=function(a){var b=this.images;return a?(b[a]||(b[a]=new Image,b[a].addEventListener("load",function(){this.ready=1}),b[a].addEventListener("error",function(){this.ready=0;this.errorload=1}),b[a].src=a),b[a]):new Image};a.DescartesApp.prototype.getAudio=function(c){var b=this.audios;if(c){if(!b[c]){var d=c.lastIndexOf("."),d=-1===d?c.lenght:d;c.substring(0,d);b[c]=new Audio(c);var f=function(a){this.ready=
1};b[c].addEventListener("canplaythrough",f);var g=function(a){this.canPlayType("audio/"+c.substring(c.length-3))||"mp3"!=c.substring(c.length-3)?(console.log("El archivo '"+c+"' no puede ser reproducido"),this.errorload=1):(b[c]=new Audio(c.replace("mp3","ogg")),b[c].addEventListener("canplaythrough",f),b[c].addEventListener("load",f),b[c].addEventListener("error",g),b[c].load())};b[c].addEventListener("error",g);b[c].play();a.setTimeout(function(){b[c].pause()},15)}return b[c]}return new Audio};
a.DescartesApp.prototype.getControlByCId=function(a){for(var b,c=0,d=this.controls.length;c<d;c++)if(b=this.controls[c],b.cID==a)return b;return{update:function(){},w:0}};a.DescartesApp.prototype.getControlById=function(a){for(var b,c=0,d=this.controls.length;c<d;c++)if(b=this.controls[c],b.id==a)return b;return{update:function(){}}};a.DescartesApp.prototype.getSpaceByCId=function(a){for(var b,c=0,d=this.spaces.length;c<d;c++)if(b=this.spaces[c],b.cID==a)return b;return{update:function(){},w:0}};
a.DescartesApp.prototype.getSpaceById=function(a){for(var b,c=0,d=this.spaces.length;c<d;c++)if(b=this.spaces[c],b.id==a)return b;return{update:function(){},w:0}};var f;a.DescartesApp.prototype.getState=function(){var a,b="",c=this.evaluator.variables,d;for(d in c)c.hasOwnProperty(d)&&(a=c[d],"string"==typeof a&&(a="'"+a+"'"),void 0!=a&&"rnd"!=d&&"pi"!=d&&"e"!=d&&"Infinity"!=d&&"-Infinity"!=d&&"object"!=typeof a&&(b=""!=b?b+"\n"+d+"="+a:d+"="+a));var c=this.evaluator.vectors,f;for(f in c)c.hasOwnProperty(f)&&
(a=c[f],b=b+"\n"+f+"="+g(a));f=this.evaluator.matrices;for(var m in f)f.hasOwnProperty(m)&&(a=f[m],b=b+"\n"+m+"="+g(a));return b};a.DescartesApp.prototype.setState=function(a,b){for(var c=a.split("\n"),d,f,g=0,m=c.length;g<m;g++)d=c[g].split("="),2<=d.length&&(f=eval(d[1]),-1!=d[1].indexOf("[[")?(this.evaluator.matrices[d[0]]=f,this.evaluator.matrices[d[0]].rows=f.length,this.evaluator.matrices[d[0]].cols=f[0].length):-1!=d[1].indexOf("[")?(this.evaluator.vectors[d[0]]=f,this.evaluator.variables[d[0]+
".long"]=f.length):this.evaluator.variables[d[0]]=f);b||this.update()};a.DescartesApp.prototype.getEvaluation=function(){for(var a=0,b=0,c="",d=0,f=this.controls.length;d<f;d++)"textfield"==this.controls[d].gui&&this.controls[d].evaluate&&(a++,b+=this.controls[d].ok,this.controls[d].value=""==this.controls[d].value?"''":this.controls[d].value,c+=" \\n "+this.controls[d].id+"="+this.controls[d].value+"|"+this.controls[d].ok);return"questions="+a+" \\n correct="+b+" \\n wrong="+(a-b)+c};a.DescartesApp.prototype.showSolution=
function(){for(var a=this.controls,b=0,c=a.length;b<c;b++)"textfield"==a[b].gui&&a[b].evaluate&&a[b].changeValue(a[b].getFirstAnswer());this.update()};a.DescartesApp.prototype.showAnswer=function(){for(var a=0,b=this.saveState.length;a<b;a++)this.evaluator.eval(this.saveState[a]);this.update()};var p,c,m;return a}(descartesJS||{}),descartesJS=function(a){function g(){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 d(c){c=document.createElement("div");c.innerHTML='<div style="font-size:12px;visibility:hidden;">\n<div style="font-family:descartesJS_serif;">\n<span>_</span>\n<span style="font-weight:bold;">_</span>\n<span style="font-style:italic;">_</span>\n<span style="font-weight:bold;font-style:italic;">_</span>\n</div>\n<div style="font-family:descartesJS_sansserif;">\n<span>_</span>\n<span style="font-weight:bold;">_</span>\n<span style="font-style:italic;">_</span>\n<span style="font-weight:bold;font-style:italic;">_</span>\n</div>\n<div style="font-family:descartesJS_monospace;">\n<span>_</span>\n<span style="font-weight:bold;">_</span>\n<span style="font-style:italic;">_</span>\n<span style="font-weight:bold;font-style:italic;">_</span>\n</div>\n<div style="font-family:descartesJS_extra;">\n<span>_</span>\n<span style="font-weight:bold;">_</span>\n<span style="font-style:italic;">_</span>\n<span style="font-weight:bold;font-style:italic;">_</span>\n</div>\n</div>';
document.body.appendChild(c);a.getFeatures();if(a.hasCanvas){window.scrollTo(0,10);for(var d=document.querySelectorAll(".DescartesAppContainer"),b=0,f=d.length;b<f;b++)d[b].parentNode.removeChild(d[b]);for(var b=document.querySelectorAll("applet,ajs"),f=/Descartes|DescartesJS|descinst.DescartesWeb2_0.class|Arquimedes|Discurso/i,d=[],g=0,p=b.length;g<p;g++)f.test(b[g].getAttribute("code"))&&d.push(b[g]);b=0;for(f=d.length;b<f;b++)a.apps.push(new a.DescartesApp(d[b])),d[b].className="DescartesJS";window.addEventListener("resize",
a.onResize);window.scrollTo(0,0)}else document.getElementById("StyleDescartesApps").innerHTML="applet.DescartesJS {display:block;} applet {display:block;} ajs.DescartesJS {display:block;} ajs {display:block;}";document.body.removeChild(c)}if(a.loadLib)return a;a.apps=[];a.getDescartesApps=function(){return a.apps};window.hasOwnProperty("debugDescartesJS")&&debugDescartesJS||g();a.onResize=function(c){0<a.apps.length&&a.apps[0].scaleToFit()};a.onMessage=function(c){if(0<a.apps.length){var d=c.data;
d&&("set"===d.type?"string"==typeof d.value||"number"==typeof d.value?a.apps[0].evaluator.setVariable(d.name,d.value):d.value&&void 0!=d.value.rows?a.apps[0].evaluator.matrices[d.name]=d.value:a.apps[0].evaluator.vectors[d.name]=d.value:"update"===d.type?a.apps[0].update():"exec"===d.type?(c=a.apps[0].evaluator.getFunction(d.name),d=d.value.toString().split(","),c&&c.apply(a.apps[0].evaluator,d)):"isResizeNeeded"===d.type?c.source.postMessage({type:"doResize"},"*"):"doResize"===d.type&&0<a.apps.length&&
a.apps[0].adjustSize())}};if(void 0==a.loadLib){a.loadLib=!0;window.addEventListener("load",d);window.addEventListener("message",a.onMessage);for(var f=["webkitTransitionEnd","transitionend","oTransitionEnd","MSTransitionEnd"],p=0,c=f.length;p<c;p++)window.addEventListener(f[p],function(c){a.onResize(c)})}return a}(descartesJS||{});
