=0){b+=""+this.objects[d].id+": "}for(var g in this.objects[d].childElements){b+=this.objects[d].childElements[g].id+"("+this.objects[d].childElements[g].name+"), "}b+="\n"}b+="
\n";var e=window.open();e.document.open();e.document.write(b);e.document.close()};JXG.Board.prototype.showXML=function(){var a=window.open("");a.document.open();a.document.write(""+this.xmlString.escapeHTML()+"
");a.document.close()};JXG.Board.prototype.prepareUpdate=function(b){for(var a in this.objects){this.objects[a].needsUpdate=true}};JXG.Board.prototype.updateElements=function(b){b=JXG.GetReferenceFromParameter(this,b);var c=-1;if(!this.reducedUpdate){c=1}for(var a in this.objects){var d=this.objects[a];if(!this.fullUpdate&&!d.needsRegularUpdate&&d.afterFirstUpdate){continue}if(b==null||d.id!=b.id){if(c>=0||!d.afterFirstUpdate||this.fullUpdate){d.update(true)}}else{d.update(false);c=5}if(this.reducedUpdate){c--}}};JXG.Board.prototype.updateRenderer=function(b){b=JXG.GetReferenceFromParameter(this,b);var c=-1;if(!this.reducedUpdate){c=1}for(var a in this.objects){var d=this.objects[a];if(!this.fullUpdate&&!d.needsRegularUpdate&&d.afterFirstUpdate){continue}if(b==null||d.id!=b.id){if(c>=0||!d.afterFirstUpdate||this.fullUpdate){d.updateRenderer()}}else{d.updateRenderer();c=5}if(this.reducedUpdate){c--}d.afterFirstUpdate=true}};JXG.Board.prototype.addHook=function(a){this.hooks.push(a);a(this);return(this.hooks.length-1)};JXG.Board.prototype.removeHook=function(a){this.hooks[a]=null};JXG.Board.prototype.updateHooks=function(){for(var a=0;aa){this.usrCoords[1]/=this.usrCoords[0];this.usrCoords[2]/=this.usrCoords[0];this.usrCoords[0]=1}};JXG.Coords.prototype.usr2screen=function(){this.scrCoords[0]=Math.round(this.usrCoords[0]);this.scrCoords[1]=Math.round(this.usrCoords[0]*this.board.origin.scrCoords[1]+this.usrCoords[1]*this.board.unitX*this.board.zoomX);this.scrCoords[2]=Math.round(this.usrCoords[0]*this.board.origin.scrCoords[2]-this.usrCoords[2]*this.board.unitY*this.board.zoomY)};JXG.Coords.prototype.screen2usr=function(){this.usrCoords[0]=1;this.usrCoords[1]=(this.scrCoords[1]-this.board.origin.scrCoords[1])/(this.board.unitX*this.board.zoomX);this.usrCoords[2]=(this.board.origin.scrCoords[2]-this.scrCoords[2])/(this.board.unitY*this.board.zoomY)};JXG.Coords.prototype.distance=function(d,c){var b=0;if(d==JXG.COORDS_BY_USER){for(var a=1;ab)||(g>b))&&(nm[f]){if(k>c[f]){this.coords=this.slideObject.point1.coords}}}}if(!this.slideObject.visProp.straightLast){if(c[f]m[f]){this.coords=this.slideObject.point2.coords}}else{if(c[f]>m[f]){if(k0&&this.transformations[this.transformations.length-1].isNumericMatrix){this.transformations[this.transformations.length-1].melt(b)}else{this.addTransform(this,b)}if(this.group.length!=0){}else{this.update()}};JXG.Point.prototype.setPosition=function(c,a,b){this.setPositionByTransform(c,a,b)};JXG.Point.prototype.makeGlider=function(a){this.slideObject=JXG.GetReferenceFromParameter(this.board,a);this.type=JXG.OBJECT_TYPE_GLIDER;this.slideObject.addChild(this);this.needsUpdate=true;this.update()};JXG.Point.prototype.addConstraint=function(e,c){this.type=JXG.OBJECT_TYPE_CAS;var d=this.board.elementsByName;if(c==null){this.updateConstraint=function(){this.coords=e()};if(!this.board.isSuspendedUpdate){this.update()}return}if(typeof e=="string"){var b=this.board.algebra.geonext2JS(e);this.XEval=new Function("","return "+b+";")}else{if(typeof e=="function"){this.XEval=e}else{if(typeof e=="number"){this.XEval=function(){return e}}}}if(typeof c=="string"){var f=this.board.algebra.geonext2JS(c);this.YEval=new Function("","return "+f+";")}else{if(typeof c=="function"){this.YEval=c}else{if(typeof c=="number"){this.YEval=function(){return c}}}}var a="this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.XEval(),this.YEval()]);";this.updateConstraint=new Function("",a);if(!this.board.isSuspendedUpdate){this.update()}return};JXG.Point.prototype.updateTransform=function(){if(this.transformations.length==0||this.baseElement==null){return}if(this===this.baseElement){var b=this.transformations[0].apply(this.baseElement,"self")}else{var b=this.transformations[0].apply(this.baseElement)}this.coords.setCoordinates(JXG.COORDS_BY_USER,[b[1],b[2]]);for(var a=1;af){this.intervalCount=0}if(this.slideObject.type==JXG.OBJECT_TYPE_LINE){var b=this.slideObject.point1.coords.distance(JXG.COORDS_BY_SCREEN,this.slideObject.point2.coords);var j=this.slideObject.getSlope();var g;var e;if(j!="INF"){var d=Math.atan(j);g=Math.round((this.intervalCount/f)*b*Math.cos(d));e=Math.round((this.intervalCount/f)*b*Math.sin(d))}else{g=0;e=Math.round((this.intervalCount/f)*b)}var c;var k=1;if(l<0){c=this.slideObject.point2;if(this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]>0){k=-1}else{if(this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]==0){if(this.slideObject.point2.coords.scrCoords[2]-this.slideObject.point1.coords.scrCoords[2]>0){k=-1}}}}else{c=this.slideObject.point1;if(this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]>0){k=-1}else{if(this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]==0){if(this.slideObject.point1.coords.scrCoords[2]-this.slideObject.point2.coords.scrCoords[2]>0){k=-1}}}}this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[c.coords.scrCoords[1]+k*g,c.coords.scrCoords[2]+k*e])}else{if(this.slideObject.type==JXG.OBJECT_TYPE_CURVE){var a;if(l>0){a=Math.round(this.intervalCount/f*this.board.canvasWidth)}else{a=Math.round((f-this.intervalCount)/f*this.board.canvasWidth)}this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[a,0]);this.coords=this.board.algebra.projectPointToCurve(this,this.slideObject)}else{if(this.slideObject.type==JXG.OBJECT_TYPE_CIRCLE){var d;if(l<0){d=this.intervalCount/f*2*Math.PI}else{d=(f-this.intervalCount)/f*2*Math.PI}var h=this.slideObject.getRadius();this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.slideObject.midpoint.coords.usrCoords[1]+h*Math.cos(d),this.slideObject.midpoint.coords.usrCoords[2]+h*Math.sin(d)])}}}this.board.update(this)};JXG.Point.prototype.setStyle=function(a){this.visProp.style=a;this.board.renderer.changePointStyle(this)};JXG.Point.prototype.remove=function(){this.board.renderer.remove($(this.label.id));if(this.visProp.style>=3&&this.visProp.style<=9){this.board.renderer.remove($(this.id))}else{this.board.renderer.remove($(this.id+"_x1"));this.board.renderer.remove($(this.id+"_x2"))}};JXG.Point.prototype.getTextAnchor=function(){return this.coords};JXG.Point.prototype.cloneToBackground=function(a){var b={};b.id=this.id+"T"+this.numTraces;this.numTraces++;b.coords=this.coords;b.visProp=this.visProp;b.elementClass=JXG.OBJECT_CLASS_POINT;this.board.renderer.drawPoint(b);if((this.visProp.style>=3)&&(this.visProp.style<=9)){this.traces[b.id]=$(b.id)}else{this.traces[b.id+"_x1"]=$(b.id+"_x1");this.traces[b.id+"_x2"]=$(b.id+"_x2")}delete b};JXG.createPoint=function(b,d,c){var a;if((JXG.IsNumber(d[0]))&&(JXG.IsNumber(d[1]))){a=new JXG.Point(b,d,c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible));if(c.slideObject!=null){a.makeGlider(c.slideObject)}else{a.baseElement=a}}else{if((JXG.IsString(d[0])||JXG.IsNumber(d[0])||JXG.IsFunction(d[0]))&&(JXG.IsString(d[1])||JXG.IsNumber(d[1]))||JXG.IsFunction(d[1])){a=new JXG.Point(b,[0,0],c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible));a.addConstraint(d[0],d[1])}else{if((typeof d[0]=="function")&&d[1]==null){a=new JXG.Point(b,[0,0],c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible));a.addConstraint(d[0])}else{if((typeof d[0]=="object")&&(typeof d[1]=="object")){a=new JXG.Point(b,[0,0],c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible));a.addTransform(d[0],d[1])}else{throw ("JSXGraph error: Can't create point with parent types '"+(typeof d[0])+"' and '"+(typeof d[1])+"'.")}}}}return a};JXG.createGlider=function(b,d,c){var a;if(d.length==1){a=new JXG.Point(b,[0,0],c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible))}else{a=new JXG.Point(b,d.slice(0,-1),c.id,c.name,(c.visible==undefined)||b.algebra.str2Bool(c.visible))}a.makeGlider(d[d.length-1]);return a};JXG.JSXGraph.registerElement("point",JXG.createPoint);JXG.JSXGraph.registerElement("glider",JXG.createGlider);JXG.Line=function(b,d,c,e,a){this.constructor();this.init(b,e,a);this.type=JXG.OBJECT_TYPE_LINE;this.elementClass=JXG.OBJECT_CLASS_LINE;this.point1=JXG.GetReferenceFromParameter(this.board,d);this.point2=JXG.GetReferenceFromParameter(this.board,c);this.image=null;this.imageTransformMatrix=[[1,0,0],[0,1,0],[0,0,1]];this.r=this.board.options.precision.hasPoint;this.visProp.fillColor=this.board.options.line.fillColor;this.visProp.highlightFillColor=this.board.options.line.highlightFillColor;this.visProp.strokeColor=this.board.options.line.strokeColor;this.visProp.highlightStrokeColor=this.board.options.line.highlightStrokeColor;this.visProp.straightFirst=this.board.options.line.straightFirst;this.visProp.straightLast=this.board.options.line.straightLast;this.visProp.visible=true;this.visProp.firstArrow=this.board.options.line.firstArrow;this.visProp.lastArrow=this.board.options.line.lastArrow;this.ticks=[];this.visProp.withTicks=this.board.options.line.ticks.withTicks;this.ticksDelta=this.board.options.line.ticks.ticksDelta;this.parentPolygon=null;this.id=this.board.addLine(this);this.point1.addChild(this);this.point2.addChild(this);this.update()};JXG.Line.prototype=new JXG.GeometryElement;JXG.Line.prototype.hasPoint=function(j,g){var b=this.point1.coords.scrCoords;var k=this.point2.coords.scrCoords;var h=new JXG.Coords(JXG.COORDS_BY_SCREEN,[j,g],this.board);var l=false;var c;var d=this.getSlope();var f=this.getRise();if(this.visProp.straightFirst&&this.visProp.straightLast){if(d!="INF"){for(c=-this.r;ca)||(e>a)){if(mk[2]){if(g>b[2]){l=false}}}}if(!this.visProp.straightLast){if(b[2]k[2]){l=false}}else{if(b[2]>k[2]){if(g=0.0001){return((a[2]-b[2])/(a[1]-b[1]))}else{return"INF"}};JXG.Line.prototype.setStraight=function(a,b){this.visProp.straightFirst=a;this.visProp.straightLast=b;this.board.renderer.updateLine(this)};JXG.Line.prototype.setArrow=function(b,a){this.visProp.firstArrow=b;this.visProp.lastArrow=a;this.board.renderer.updateLine(this)};JXG.Line.prototype.getTextAnchor=function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0.5*(this.point2.X()-this.point1.X()),0.5*(this.point2.Y()-this.point1.Y())],this.board)};JXG.Line.prototype.cloneToBackground=function(b){var d={};d.id=this.id+"T"+this.numTraces;this.numTraces++;d.point1=this.point1;d.point2=this.point2;d.stdform=this.stdform;d.board={};d.board.unitX=this.board.unitX;d.board.unitY=this.board.unitY;d.board.zoomX=this.board.zoomX;d.board.zoomY=this.board.zoomY;d.board.origin=this.board.origin;d.board.canvasHeight=this.board.canvasHeight;d.board.canvasWidth=this.board.canvasWidth;d.board.dimension=this.board.dimension;d.board.algebra=this.board.algebra;d.visProp=this.visProp;var a=this.getSlope();var c=this.getRise();d.getSlope=function(){return a};d.getRise=function(){return c};this.board.renderer.enhancedRendering=true;this.board.renderer.drawLine(d);this.board.renderer.enhancedRendering=false;this.traces[d.id]=$(d.id);delete d};JXG.Line.prototype.addTransform=function(a){var c;if(JXG.IsArray(a)){c=a}else{c=[a]}for(var b=0;b0&&this.point1.transformations[this.point1.transformations.length-1].isNumericMatrix){this.point1.transformations[this.point1.transformations.length-1].melt(b)}else{this.point1.addTransform(this.point1,b)}if(this.point2.transformations.length>0&&this.point2.transformations[this.point2.transformations.length-1].isNumericMatrix){this.point2.transformations[this.point2.transformations.length-1].melt(b)}else{this.point2.addTransform(this.point2,b)}};JXG.createLine=function(b,f,e){var a;if((f[0].elementClass==JXG.OBJECT_CLASS_POINT)&&(f[1].elementClass==JXG.OBJECT_CLASS_POINT)){var d=JXG.GetReferenceFromParameter(b,f[0]);var c=JXG.GetReferenceFromParameter(b,f[1]);a=new JXG.Line(b,d.id,c.id,e.id,e.name)}else{throw ("Can't create line with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.")}return a};JXG.JSXGraph.registerElement("line",JXG.createLine);JXG.createArrow=function(d,b,a){var c;if((JXG.IsPoint(b[0]))&&(JXG.IsPoint(b[1]))){c=new JXG.Line(d,b[0],b[1],a.id,a.name);c.setStraight(false,false);c.setArrow(false,true)}else{throw ("Can't create arrow with parent types '"+(typeof b[0])+"' and '"+(typeof b[1])+"'.")}return c};JXG.JSXGraph.registerElement("arrow",JXG.createArrow);JXG.createAxis=function(f,b,a){if((JXG.IsArray(b[0])||JXG.IsPoint(b[0]))&&(JXG.IsArray(b[1])||JXG.IsPoint(b[1]))){var e;if(JXG.IsPoint(b[0].type)){e=b[0]}else{e=new JXG.Point(f,b[0],"","",false)}var c;if(JXG.IsPoint(b[1])){c=b[1]}else{c=new JXG.Point(f,b[1],"","",false)}e.fixed=true;c.fixed=true;if(a==null){a=new Object()}a.lastArrow=true;a.straightFirst=true;a.straightLast=true;a.withTicks=true;if(a.strokeWidth==null){a.strokeWidth=1}var d=f.createElement("line",[e,c],a);d.needsRegularUpdate=false}else{throw ("Can't create point with parent types '"+(typeof b[0])+"' and '"+(typeof b[1])+"'.")}return d};JXG.JSXGraph.registerElement("axis",JXG.createAxis);JXG.Group=function(e,h,a){this.board=e;this.objects={};var f=this.board.numObjects;this.board.numObjects++;if((h=="")||(h==null)||(typeof h=="undefined")){this.id=this.board.id+"Group"+f}else{this.id=h}this.type=JXG.OBJECT_TYPE_POINT;this.elementClass=JXG.OBJECT_CLASS_POINT;if((a=="")||(a==null)||(typeof a=="undefined")){this.name="group_"+this.board.generateName(this)}else{this.name=a}delete (this.type);var d;if((arguments.length==4)&&(Object.isArray(arguments[3]))){d=arguments[3]}else{d=[];for(var b=3;bc){c=this.vertices[f].X()}if(this.vertices[f].Y()>d){d=this.vertices[f].Y()}if(this.vertices[f].Y()0&&this.transformations[this.transformations.length-1].isNumericMatrix){this.transformations[this.transformations.length-1].melt(b)}else{this.addTransform(b)}};JXG.Curve.prototype.generateTerm=function(j,g,a,e,h){this.numberPoints=this.board.canvasWidth*1;if(typeof j=="string"){var d=this.board.algebra.geonext2JS(j);this.X=new Function(a,"return "+d+";");this.curveType="graph"}else{if(typeof j=="function"){this.X=j;this.curveType="parameter"}else{if(typeof j=="number"){this.X=function(){return j};this.curveType="parameter"}else{if(typeof j=="object"){this.curveType="plot";this.dataX=j;this.X=function(k){return this.dataX[k]};this.numberPoints=this.dataX.length}}}}if(typeof g=="string"){var b=this.board.algebra.geonext2JS(g);this.Y=new Function(a,"return "+b+";")}else{if(typeof g=="function"){this.Y=g}else{if(typeof g=="number"){this.Y=function(){return g}}else{if(typeof g=="object"){this.dataY=g;this.Y=function(k){return this.dataY[k]}}}}}if(e!=null){if(typeof e=="string"){var c=this.board.algebra.geonext2JS(e);this.minX=new Function("","return "+c+";")}else{if(typeof e=="function"){this.minX=e}else{if(typeof e=="number"){this.minX=function(){return e}}}}}if(h!=null){if(typeof h=="string"){var f=this.board.algebra.geonext2JS(h);this.maxX=new Function("","return "+f+";")}else{if(typeof h=="function"){this.maxX=h}else{if(typeof h=="number"){this.maxX=function(){return h}}}}}};JXG.Curve.prototype.notifyParents=function(b){var a=null;var c=this.board.elementsByName;this.board.algebra.findDependencies(this,b)};JXG.createCurve=function(c,b,a){return new JXG.Curve(c,b,a.id,a.name)};JXG.JSXGraph.registerElement("curve",JXG.createCurve);JXG.createSpline=function(c,b,a){var d=function(g){var e=new Array();var j=new Array();for(var f=0;f=d){if(ee){if(c1){b=1}else{if(b<-1){b=-1}}var p=Math.acos(b);var l=0;if((Math.sin(p)*n)<0){l=2*Math.PI-p}else{l=p}l=(l/Math.PI)*180;return l};JXG.Algebra.prototype.angleBisector=function(e,c,b){var j=e.coords.usrCoords[1]-c.coords.usrCoords[1];var h=e.coords.usrCoords[2]-c.coords.usrCoords[2];var g=Math.sqrt(j*j+h*h);j/=g;h/=g;var a=Math.acos(j);if(h<0){a*=-1}if(a<0){a+=2*Math.PI}j=b.coords.usrCoords[1]-c.coords.usrCoords[1];h=b.coords.usrCoords[2]-c.coords.usrCoords[2];g=Math.sqrt(j*j+h*h);j/=g;h/=g;var k=Math.acos(j);if(h<0){k*=-1}if(k<0){k+=2*Math.PI}var f=(a+k)*0.5;if(a>k){f+=Math.PI}j=Math.cos(f)+c.coords.usrCoords[1];h=Math.sin(f)+c.coords.usrCoords[2];return new JXG.Coords(JXG.COORDS_BY_USER,[j,h],this.board)};JXG.Algebra.prototype.midpoint=function(a,b){return new JXG.Coords(JXG.COORDS_BY_USER,[(a.coords.usrCoords[1]+b.coords.usrCoords[1])/2,(a.coords.usrCoords[2]+b.coords.usrCoords[2])/2],this.board)};JXG.Algebra.prototype.parallel=function(e,d,b){var c=1;var a=b.coords.usrCoords[1]+c*(d.coords.usrCoords[1]-e.coords.usrCoords[1]);var f=b.coords.usrCoords[2]+c*(d.coords.usrCoords[2]-e.coords.usrCoords[2]);return new JXG.Coords(JXG.COORDS_BY_USER,[a,f],this.board)};JXG.Algebra.prototype.reflection=function(h,f){var g=h.point2.coords.usrCoords[1]-h.point1.coords.usrCoords[1];var e=h.point2.coords.usrCoords[2]-h.point1.coords.usrCoords[2];var b=f.coords.usrCoords[1]-h.point1.coords.usrCoords[1];var d=f.coords.usrCoords[2]-h.point1.coords.usrCoords[2];var j=(g*d-e*b)/(g*g+e*e);var a=f.coords.usrCoords[1]+2*j*e;var c=f.coords.usrCoords[2]-2*j*g;return new JXG.Coords(JXG.COORDS_BY_USER,[a,c],this.board)};JXG.Algebra.prototype.rotation=function(a,j,e){var d=j.coords.usrCoords[1]-a.coords.usrCoords[1];var h=j.coords.usrCoords[2]-a.coords.usrCoords[2];var b,g;var f=Math.cos(e);var k=Math.sin(e);b=d*f-h*k+a.coords.usrCoords[1];g=d*k+h*f+a.coords.usrCoords[2];return new JXG.Coords(JXG.COORDS_BY_USER,[b,g],this.board)};JXG.Algebra.prototype.perpendicular=function(n,l){var j;var g;var h;var e=n.point1.coords;var d=n.point2.coords;var b=l.coords;if(l==n.point1){j=e.usrCoords[1]+d.usrCoords[2]-e.usrCoords[2];g=e.usrCoords[2]-d.usrCoords[1]+e.usrCoords[1];h=true}else{if(l==n.point2){j=d.usrCoords[1]+e.usrCoords[2]-d.usrCoords[2];g=d.usrCoords[2]-e.usrCoords[1]+d.usrCoords[1];h=false}else{if(((Math.abs(e.usrCoords[1]-d.usrCoords[1])>this.eps)&&(Math.abs(b.usrCoords[2]-(e.usrCoords[2]-d.usrCoords[2])*(b.usrCoords[1]-e.usrCoords[1])/(e.usrCoords[1]-d.usrCoords[1])-e.usrCoords[2])0){var a=e.Dist(H);var G=e.Dist(F);var E=((a*a)+(z*z)-(G*G))/(2*z);var u=(a*a)-(E*E);u=(u<0)?0:u;var C=Math.sqrt(u);var A=j.getRadius();var k=Math.sqrt((A*A)-C*C);var v=F.coords.usrCoords[1]-H.coords.usrCoords[1];var t=F.coords.usrCoords[2]-H.coords.usrCoords[2];var g=e.coords.usrCoords[1]+(C/z)*t;var f=e.coords.usrCoords[2]-(C/z)*v;a=(F.coords.usrCoords[1]*t)-(F.coords.usrCoords[2]*v);G=(g*v)+(f*t);var B=(t*t)+(v*v);if(Math.abs(B)0){var a=c.Dist(F);var E=c.Dist(D);var C=((a*a)+(u*u)-(E*E))/(2*u);var p=(a*a)-(C*C);p=(p<0)?0:p;var A=Math.sqrt(p);var v=e.getRadius();var f=Math.sqrt((v*v)-(A*A));var t=D.X()-F.X();var o=D.Y()-F.Y();var q=new JXG.Coords(JXG.COORDS_BY_USER,[c.X()+(A/u)*o,c.Y()-(A/u)*t],this.board);a=(D.X()*o)-(D.Y()*t);E=(q.usrCoords[1]*t)+(q.usrCoords[2]*o);var z=(o*o)+(t*t);if(Math.abs(z)q){return[0]}else{if(jm){return[0]}else{if(fg.maxX()){c=g.maxX()}b.position=c;f=new JXG.Coords(JXG.COORDS_BY_USER,[g.X(c),g.Y(c)],this.board)}else{if(g.curveType=="polar"){a=b.X();h=b.Y();c=b.position||0;var e=(g.dataY!=null)?g.dataY:[0,0];c=this.root(this.D(function(j){var k=g.X(j);return(a-k*Math.cos(j)-e[0])*(a-k*Math.cos(j)-e[0])+(h-k*Math.sin(j)-e[1])*(h-k*Math.sin(j)-e[1])}),c);b.position=c;var d=g.X(c);f=new JXG.Coords(JXG.COORDS_BY_USER,[d*Math.cos(c)+e[0],d*Math.sin(c)+e[1]],this.board)}else{c=b.X();a=c;h=g.Y(c);f=new JXG.Coords(JXG.COORDS_BY_USER,[a,h],this.board)}}return g.updateTransform(f)};JXG.Algebra.prototype.replacePow=function(d){var h,l,j;var o="";var g,k;var f=d.indexOf("^");while(f>=0){var b=d.slice(0,f);if(b.charAt(b.length-1)==")"){h=1;l=b.length-2;while(l>=0&&h>0){j=b.charAt(l);if(j==")"){h++}else{if(j=="("){h--}}l--}if(h==0){g="";var e=b.substring(0,l+1);var a=l;while(a>=0&&e.substr(a,1).match(/(\w+)/)){g=RegExp.$1+g;a--}g+=b.substring(l+1,b.length);g=g.replace(/([\(\)\+\*\%\^\-\/\]\[])/g,"\\$1")}}else{g="\\w+"}var n=d.slice(f+1);if(n.match(/^([\w\.]*\()/)){h=1;l=RegExp.$1.length;while(l0){j=n.charAt(l);if(j==")"){h--}else{if(j=="("){h++}}l++}if(h==0){k=n.substring(0,l);k=k.replace(/([\(\)\+\*\%\^\-\/\[\]])/g,"\\$1")}}else{k="[\\w\\.]+"}var m=new RegExp("("+g+")\\^("+k+")");d=d.replace(m,"this.board.algebra.pow($1,$2)");f=d.indexOf("^")}return d};JXG.Algebra.prototype.replaceIf=function(b){var p="";var d,o;var f=null;var a=null;var j=null;var e=b.indexOf("If(");if(e<0){return b}b=b.replace(/""/g,"0");while(e>=0){d=b.slice(0,e);o=b.slice(e+3);var g=1;var n=0;var k=-1;var h=-1;while(n0){var l=o.charAt(n);if(l==")"){g--}else{if(l=="("){g++}else{if(l==","&&g==1){if(k<0){k=n}else{h=n}}}}n++}var m=o.slice(0,n-1);o=o.slice(n);if(k<0){return""}if(h<0){return""}f=m.slice(0,k);a=m.slice(k+1,h);j=m.slice(h+1);f=this.replaceIf(f);a=this.replaceIf(a);j=this.replaceIf(j);p+=d+"(("+f+")?("+a+"):("+j+"))";b=o;f=null;a=null;e=b.indexOf("If(")}p+=o;return p};JXG.Algebra.prototype.replaceSub=function(c){var b=c.indexOf("_{");while(b>=0){c=c.substr(0,b)+c.substr(b).replace(/_\{/,"");var a=c.substr(b).indexOf("}");if(a>=0){c=c.substr(0,a)+c.substr(a).replace(/\}/,"")}b=c.indexOf("_{")}b=c.indexOf("_");while(b>=0){c=c.substr(0,b)+c.substr(b).replace(/_(.?)/,"$1");b=c.indexOf("_")}return c};JXG.Algebra.prototype.replaceSup=function(c){var b=c.indexOf("^{");while(b>=0){c=c.substr(0,b)+c.substr(b).replace(/\^\{/,"");var a=c.substr(b).indexOf("}");if(a>=0){c=c.substr(0,a)+c.substr(a).replace(/\}/,"")}b=c.indexOf("^{")}b=c.indexOf("^");while(b>=0){c=c.substr(0,b)+c.substr(b).replace(/\^(.?)/,"$1");b=c.indexOf("^")}return c};JXG.Algebra.prototype.replaceNameById=function(c){var f=0;var a;var e;var b;var d;f=c.indexOf("X(");while(f>=0){if(f>=0){a=c.indexOf(")",f+2);if(a>=0){e=c.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+2)+d.id+c.slice(a)}}a=c.indexOf(")",f+2);f=c.indexOf("X(",a)}f=c.indexOf("Y(");while(f>=0){if(f>=0){a=c.indexOf(")",f+2);if(a>=0){e=c.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+2)+d.id+c.slice(a)}}a=c.indexOf(")",f+2);f=c.indexOf("Y(",a)}f=c.indexOf("L(");while(f>=0){if(f>=0){a=c.indexOf(")",f+2);if(a>=0){e=c.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+2)+d.id+c.slice(a)}}a=c.indexOf(")",f+2);f=c.indexOf("L(",a)}f=c.indexOf("Dist(");while(f>=0){if(f>=0){a=c.indexOf(",",f+5);if(a>=0){e=c.slice(f+5,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+5)+d.id+c.slice(a)}}a=c.indexOf(",",f+5);f=c.indexOf(",",a);a=c.indexOf(")",f+1);if(a>=0){e=c.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+1)+d.id+c.slice(a)}a=c.indexOf(")",f+1);f=c.indexOf("Dist(",a)}f=c.indexOf("Deg(");while(f>=0){if(f>=0){a=c.indexOf(",",f+4);if(a>=0){e=c.slice(f+4,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+4)+d.id+c.slice(a)}}a=c.indexOf(",",f+4);f=c.indexOf(",",a);a=c.indexOf(",",f+1);if(a>=0){e=c.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+1)+d.id+c.slice(a)}a=c.indexOf(",",f+1);f=c.indexOf(",",a);a=c.indexOf(")",f+1);if(a>=0){e=c.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+1)+d.id+c.slice(a)}a=c.indexOf(")",f+1);f=c.indexOf("Deg(",a)}f=c.indexOf("Rad(");while(f>=0){if(f>=0){a=c.indexOf(",",f+4);if(a>=0){e=c.slice(f+4,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+4)+d.id+c.slice(a)}}a=c.indexOf(",",f+4);f=c.indexOf(",",a);a=c.indexOf(",",f+1);if(a>=0){e=c.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+1)+d.id+c.slice(a)}a=c.indexOf(",",f+1);f=c.indexOf(",",a);a=c.indexOf(")",f+1);if(a>=0){e=c.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];c=c.slice(0,f+1)+d.id+c.slice(a)}a=c.indexOf(")",f+1);f=c.indexOf("Rad(",a)}return c};JXG.Algebra.prototype.replaceIdByObj=function(a){var b=/(X|Y|L)\(([\w_]+)\)/g;a=a.replace(b,'this.board.objects["$2"].$1()');b=/(Dist)\(([\w_]+),([\w_]+)\)/g;a=a.replace(b,'this.board.objects["$2"].Dist(this.board.objects["$3"])');b=/(Deg)\(([\w_]+),([ \w\[\w_]+),([\w_]+)\)/g;a=a.replace(b,'this.board.algebra.trueAngle(this.board.objects["$2"],this.board.objects["$3"],this.board.objects["$4"])');b=/Rad\(([\w_]+),([\w_]+),([\w_]+)\)/g;a=a.replace(b,'this.board.algebra.rad(this.board.objects["$1"],this.board.objects["$2"],this.board.objects["$3"])');return a};JXG.Algebra.prototype.geonext2JS=function(b){b=b.replace(/</g,"<");b=b.replace(/>/g,">");b=b.replace(/&/g,"&");var d=this.board.elementsByName;var e;var c=b;c=this.replaceNameById(c);c=this.replaceIf(c);c=this.replacePow(c);c=this.replaceIdByObj(c);var g=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Floor","Log","Max","Min","Pow","Random","Round","Sin","Sqrt","Tan","Trunc"];var f=["Math.abs","Math.acos","Math.asin","Math.atan","Math.ceil","Math.cos","Math.exp","Math.floor","Math.log","Math.max","Math.min","Math.pow","Math.random","this.board.algebra.round","Math.sin","Math.sqrt","Math.tan","Math.ceil"];for(var a=0;a=0){e[c].addChild(d)}}}};JXG.Algebra.prototype.distance=function(d,c){var b=0;if(d.length!=c.length){return}for(var a=0;aa&&(Math.abs(c[0])0){return Math.exp(c*Math.log(Math.abs(d)))}else{return null}}};JXG.Algebra.prototype.round=function(b,f){if(typeof b=="string"){return b}if(f==0||f==null){return Math.round(b).toString()}if(f<1||f>14){return false}var d=Math.pow(10,f);var c=(Math.round(b*d)/d).toString();if(c.indexOf(".")==-1){c+="."}c+=d.toString().substring(1);return c.substring(0,c.indexOf(".")+f+1)};JXG.Algebra.prototype.D=function(b){var a=0.00001;return function(c){return(b(c+a)-b(c-a))/(2*a)}};JXG.Algebra.prototype.cosh=function(a){return(Math.exp(a)+Math.exp(-a))*0.5};JXG.Algebra.prototype.sinh=function(a){return(Math.exp(a)-Math.exp(-a))*0.5};JXG.Algebra.prototype.I=function(a,b){return JXG.Math.Numerics.NewtonCotes(a,b)};JXG.Algebra.prototype.newton=function(e,a){var b=0;var c=1e-7;var d=e(a);while(b<50&&Math.abs(d)>c){var g=this.D(e)(a);if(Math.abs(g)>c){a-=d/g}else{a+=(Math.random()*0.2-1)}d=e(a);b++}return a};JXG.Algebra.prototype.root=function(b,a){return this.newton(b,a)};JXG.Algebra.prototype.crossProduct=function(c,b){var a=c[1]*b[2]-c[2]*b[1];var e=c[2]*b[0]-c[0]*b[2];var d=c[0]*b[1]-c[1]*b[0];return[a,e,d]};JXG.Algebra.prototype.meet=function(c,b){var a=0.000001;if(Math.abs(c[3])=a&&Math.abs(b[3])=a){return this.meetLineCircle(c,b)}else{return this.meetCircleCircle(c,b)}}}};JXG.Algebra.prototype.meetLineLine=function(b,a){var c=this.crossProduct(b,a);if(Math.abs(c[0])>0.000001){c[1]/=c[0];c[2]/=c[0]}return[new JXG.Coords(JXG.COORDS_BY_USER,c.slice(1),this.board),new JXG.Coords(JXG.COORDS_BY_USER,c.slice(1),this.board)]};JXG.Algebra.prototype.meetLineCircle=function(j,e){var u=0.000001;if(e[4]=0){m=Math.sqrt(m);var s=[(-g+m)/(2*h),(-g-m)/(2*h)];return[new JXG.Coords(JXG.COORDS_BY_USER,[-s[0]*(-l[1])-o*l[0],-s[0]*l[0]-o*l[1]],this.board),new JXG.Coords(JXG.COORDS_BY_USER,[-s[1]*(-l[1])-o*l[0],-s[1]*l[0]-o*l[1]],this.board)]}else{return[new JXG.Coords(JXG.COORDS_BY_USER,[NaN,NaN],this.board),new JXG.Coords(JXG.COORDS_BY_USER,[NaN,NaN],this.board)]}};JXG.Algebra.prototype.meetCircleCircle=function(c,b){var a=0.000001;if(c[4]=1){c[0]=(c[6]*c[6]+c[7]*c[7]-d*d)/(2*d);c[1]=-c[6]/d;c[2]=-c[7]/d;c[3]=1/(2*d);c[4]=1}else{var b=(d<=0)?(-1):(1);c[0]=b*(c[6]*c[6]+c[7]*c[7]-d*d)*0.5;c[1]=-b*c[6];c[2]=-b*c[7];c[3]=b/2;c[4]=b*d}}return c};JXG.Intersection=function(e,b,d,c,g,f,l,k){this.constructor();this.board=e;this.id=b;this.name=this.id;this.visProp={};this.visProp.visible=true;this.show=true;this.real=true;this.notExistingParents={};this.intersect1=JXG.GetReferenceFromParameter(this.board,d);this.intersect2=JXG.GetReferenceFromParameter(this.board,c);this.type=JXG.OBJECT_TYPE_INTERSECTION;if(((this.intersect1=="")||(this.intersect1==undefined))&&((this.intersect2=="")||(this.intersect2==undefined))){return}if(((this.intersect1.type==this.intersect2.type)&&(this.intersect1.type==JXG.OBJECT_TYPE_LINE||this.intersect1.type==JXG.OBJECT_TYPE_ARROW))||((this.intersect1.type==JXG.OBJECT_TYPE_LINE)&&(this.intersect2.type==JXG.OBJECT_TYPE_ARROW))||((this.intersect2.type==JXG.OBJECT_TYPE_LINE)&&(this.intersect1.type==JXG.OBJECT_TYPE_ARROW))){var h=this.board.algebra.intersectLineLine(this.intersect1,this.intersect2).usrCoords.slice(1);this.p=new JXG.Point(this.board,h,g,l,true);this.p.fixed=true;this.addChild(this.p);this.real=true;this.update=function(){if(this.needsUpdate){this.p.coords=this.board.algebra.intersectLineLine(this.intersect1,this.intersect2);this.needsUpdate=false}};this.hideElement=function(){this.visProp.visible=false;this.p.hideElement()};this.showElement=function(){this.visProp.visible=true;this.p.showElement()};this.hideChild=function(n){this.notExistingParents[n]=this.board.objects[n];for(var m in this.descendants){if(this.descendants[m].visProp.visible&&this.descendants[m].type!=JXG.OBJECT_TYPE_INTERSECTION){this.descendants[m].hideElement();this.descendants[m].visProp.visible=true}this.descendants[m].notExistingParents[n]=this.board.objects[n]}};this.showChild=function(n){for(var m in this.board.objects){delete (this.board.objects[m].notExistingParents[n]);if(this.board.objects[m].visProp.visible&&Object.keys(this.board.objects[m].notExistingParents).length==0){if(this.board.objects[m].type!=JXG.OBJECT_TYPE_INTERSECTION){this.board.objects[m].showElement()}}}}}else{if(((d.type==c.type)&&(d.type==JXG.OBJECT_TYPE_CIRCLE||d.type==JXG.OBJECT_TYPE_ARC))||(d.type==JXG.OBJECT_TYPE_CIRCLE&&c.type==JXG.OBJECT_TYPE_ARC)||(c.type==JXG.OBJECT_TYPE_CIRCLE&&d.type==JXG.OBJECT_TYPE_ARC)){this.p1=new JXG.Point(this.board,[0,0],g,l,false);this.p1.fixed=true;this.p1.label.show=true;this.p2=new JXG.Point(this.board,[0,0],f,k,false);this.p2.fixed=true;this.p2.label.show=true;this.addChild(this.p1);this.addChild(this.p2);var j=this.board.algebra.intersectCircleCircle(this.intersect1,this.intersect2);if(j[0]==1){this.p1.coords=j[1];this.p1.showElement();this.p1.updateRenderer();this.p2.coords=j[2];this.p2.showElement();this.p2.updateRenderer();this.real=true}else{this.real=false}this.update=function(){if(!this.needsUpdate){return}var o=this.board.algebra.intersectCircleCircle(this.intersect1,this.intersect2);var n=this.p1.visProp.visible;var m=this.p2.visProp.visible;if(o[0]==0){if(this.real){this.hideChild(this.id);this.p1.visProp.visible=n;this.p2.visProp.visible=m;this.real=false}}else{this.p1.coords=o[1];this.p2.coords=o[2];if(!this.real){this.showChild(this.id);this.real=true}}this.needsUpdate=false};this.hideElement=function(){this.visProp.visible=false;this.p1.hideElement();this.p2.hideElement()};this.showElement=function(){this.visProp.visible=true;this.p1.showElement();this.p2.showElement()};this.hideChild=function(n){this.notExistingParents[n]=this.board.objects[n];for(var m in this.descendants){if(this.descendants[m].visProp.visible&&this.descendants[m].type!=JXG.OBJECT_TYPE_INTERSECTION){this.descendants[m].hideElement();this.descendants[m].visProp.visible=true}this.descendants[m].notExistingParents[n]=this.board.objects[n]}};this.showChild=function(m){for(el in this.board.objects){delete (this.board.objects[el].notExistingParents[m]);if(this.board.objects[el].visProp.visible&&Object.keys(this.board.objects[el].notExistingParents).length==0){if(this.board.objects[el].type!=JXG.OBJECT_TYPE_INTERSECTION){this.board.objects[el].showElement()}}}}}else{this.p1=new JXG.Point(this.board,[0,0],g,l,false);this.p1.fixed=true;this.p1.label.show=true;this.p2=new JXG.Point(this.board,[0,0],f,k,false);this.p2.fixed=true;this.p2.label.show=true;this.addChild(this.p1);this.addChild(this.p2);if(this.intersect1.type==JXG.OBJECT_TYPE_LINE||this.intersect1.type==JXG.OBJECT_TYPE_ARROW){var a=this.intersect1;this.intersect1=this.intersect2;this.intersect2=a}var j=this.board.algebra.intersectCircleLine(this.intersect1,this.intersect2);if(j[0]==1){this.p1.coords=j[1];this.p1.showElement();this.p1.update()}else{if(j[0]==2){this.p1.coords=j[1];this.p1.showElement();this.p2.coords=j[2];this.p2.showElement();this.p1.updateRenderer();this.p2.updateRenderer();this.real=true}else{this.real=false}}this.update=function(){if(!this.needsUpdate){return}var o=this.board.algebra.intersectCircleLine(this.intersect1,this.intersect2);var n=this.p1.visProp.visible;var m=this.p2.visProp.visible;if(o[0]==0){if(this.real){this.hideChild(this.id);this.p1.visProp.visible=n;this.p2.visProp.visible=m;this.real=false}}else{if(o[0]==2){this.p1.coords=o[1];this.p2.coords=o[2];if(!this.real){this.showChild(this.id);this.real=true}}}this.needsUpdate=false};this.hideElement=function(){this.visProp.visible=false;this.p1.hideElement();this.p2.hideElement()};this.showElement=function(){this.visProp.visible=true;this.p1.showElement();this.p2.showElement()};this.hideChild=function(n){this.notExistingParents[n]=this.board.objects[n];for(var m in this.descendants){if(this.descendants[m].visProp.visible&&this.descendants[m].type!=JXG.OBJECT_TYPE_INTERSECTION){this.descendants[m].hideElement();this.descendants[m].visProp.visible=true}this.descendants[m].notExistingParents[n]=this.board.objects[n]}};this.showChild=function(m){for(el in this.board.objects){delete (this.board.objects[el].notExistingParents[m]);if(this.board.objects[el].visProp.visible&&Object.keys(this.board.objects[el].notExistingParents).length==0){if(this.board.objects[el].type!=JXG.OBJECT_TYPE_INTERSECTION){this.board.objects[el].showElement()}}}}}}this.id=this.board.addIntersection(this)};JXG.Intersection.prototype=new JXG.GeometryElement();JXG.Intersection.prototype.update=function(){return};JXG.Intersection.prototype.hasPoint=function(a,b){return false};JXG.Intersection.prototype.hideChild=function(a){};JXG.Intersection.prototype.showChild=function(a){};JXG.Intersection.prototype.remove=function(){if(this.p!=undefined){this.board.removeObject(this.p)}if(this.p1!=undefined){this.board.removeObject(this.p1)}if(this.p2!=undefined){this.board.removeObject(this.p2)}return};JXG.Intersection.prototype.updateRenderer=function(){};JXG.createPerpendicular=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_LINE){if(!JXG.IsArray(b.id)){b.id=["",""]}if(!JXG.IsArray(b.name)){b.name=["",""]}return a.addPerpendicular(c[1],c[0],b.id[0],b.name[0],b.id[1],b.name[1])}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_LINE){if(!JXG.IsArray(b.id)){b.id=["",""]}if(!JXG.IsArray(b.name)){b.name=["",""]}return a.addPerpendicular(c[0],c[1],b.id[0],b.name[0],b.id[1],b.name[1])}else{throw ("Can't create perpendicular with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createMidpoint=function(a,c,b){if(c.length==2&&JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])){return a.addMidpoint(c[0],c[1],b.id,b.name)}else{if(c.length==1&&c[0].type==JXG.OBJECT_TYPE_LINE){return a.addMidpoint(c[0].point1,c[0].point2,b.id,b.name)}else{throw ("Can't create midpoint.")}}};JXG.createParallel=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_LINE){return a.addParallel(c[1],c[0],b.id,b.name)}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_LINE){return a.addParallel(c[0],c[1],b.id,b.name)}else{throw ("Can't create parallel with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createNormal=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_LINE){return a.addNormal(c[1],c[0],b.id,b.name)}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_LINE){return a.addNormal(c[0],c[1],b.id,b.name)}else{throw ("Can't create normal with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createBisector=function(a,c,b){if(JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])&&JXG.IsPoint(c[2])){return a.addAngleBisector(c[0],c[1],c[2],b.id,b.name)}else{throw ("Can't create angle bisector with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}};JXG.createArrowParallel=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_ARROW){if(!JXG.IsArray(b.id)){b.id=["",""]}if(!JXG.IsArray(b.name)){b.name=["",""]}return a.addArrowParallel(c[1],c[0],b.id[0],b.name[0],b.id[1],b.name[1])}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_ARROW){if(!JXG.IsArray(b.id)){b.id=["",""]}if(!JXG.IsArray(b.name)){b.name=["",""]}return a.addArrowParallel(c[0],c[1],b.id[0],b.name[0],b.id[1],b.name[1])}else{throw ("Can't create parallel arrow with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createCircumcircle=function(a,c,b){if(JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])&&JXG.IsPoint(c[2])){if(!JXG.IsArray(b.id)){b.id=["",""]}if(!JXG.IsArray(b.name)){b.name=["",""]}return a.addCircumcenter(c[0],c[1],c[2],b.id[0],b.name[0],b.id[1],b.name[1])}else{throw ("Can't create circumcircle with parent types '"+(typeof c[0])+"', '"+(typeof c[1])+"' and '"+(typeof c[2])+"'.")}};JXG.createCircumcircleMidpoint=function(a,c,b){if(JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])&&JXG.IsPoint(c[2])){return a.addCircumcenterMidpoint(c[0],c[1],c[2],b.id,b.name)}else{throw ("Can't create circumcircle midpoint with parent types '"+(typeof c[0])+"', '"+(typeof c[1])+"' and '"+(typeof c[2])+"'.")}};JXG.createParallelPoint=function(a,c,b){if(JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])&&JXG.IsPoint(c[2])){return a.addParallelPoint(c[0],c[1],c[2],b.id,b.name)}else{throw ("Can't create parallel point with parent types '"+(typeof c[0])+"', '"+(typeof c[1])+"' and '"+(typeof c[2])+"'.")}};JXG.createReflection=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_LINE){return a.addReflection(c[1],c[0],b.id,b.name)}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_LINE){return a.addReflection(c[0],c[1],b.id,b.name)}else{throw ("Can't create reflection point with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createPerpendicularPoint=function(a,c,b){if(JXG.IsPoint(c[0])&&c[1].type==JXG.OBJECT_TYPE_LINE){return a.addPerpendicularPoint(c[1],c[0],b.id,b.name)}else{if(JXG.IsPoint(c[1])&&c[0].type==JXG.OBJECT_TYPE_LINE){return a.addPerpendicularPoint(c[0],c[1],b.id,b.name)}else{throw ("Can't create perpendicular point with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.createMirrorPoint=function(a,c,b){if(JXG.IsPoint(c[0])&&JXG.IsPoint(c[1])){return a.addRotation(c[0],c[1],Math.PI,b.id,b.name)}else{throw ("Can't create mirror point with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}};JXG.createIntegral=function(a,c,b){if(!JXG.IsArray(b.id)||(b.id.length!=5)){b.id=["","","","",""]}if(!JXG.IsArray(b.name)||(b.name.length!=5)){b.name=["","","","",""]}if(JXG.IsArray(c[0])&&c[1].type==JXG.OBJECT_TYPE_CURVE){return a.addIntegral(c[0],c[1],b.id,b.name,b)}else{if(JXG.IsArray(c[1])&&c[0].type==JXG.OBJECT_TYPE_CURVE){return a.addIntegral(c[1],c[0],b.id,b.name,b)}else{throw ("Can't create integral with parent types '"+(typeof c[0])+"' and '"+(typeof c[1])+"'.")}}};JXG.JSXGraph.registerElement("arrowparallel",JXG.createArrowParallel);JXG.JSXGraph.registerElement("bisector",JXG.createBisector);JXG.JSXGraph.registerElement("circumcircle",JXG.createCircumcircle);JXG.JSXGraph.registerElement("circumcirclemidpoint",JXG.createCircumcircleMidpoint);JXG.JSXGraph.registerElement("integral",JXG.createIntegral);JXG.JSXGraph.registerElement("midpoint",JXG.createMidpoint);JXG.JSXGraph.registerElement("mirrorpoint",JXG.createMirrorPoint);JXG.JSXGraph.registerElement("normal",JXG.createNormal);JXG.JSXGraph.registerElement("parallel",JXG.createParallel);JXG.JSXGraph.registerElement("parallelpoint",JXG.createParallelPoint);JXG.JSXGraph.registerElement("perpendicular",JXG.createPerpendicular);JXG.JSXGraph.registerElement("perpendicularpoint",JXG.createPerpendicularPoint);JXG.JSXGraph.registerElement("reflection",JXG.createReflection);JXG.Text=function(k,o,g,m,c,a,d){this.constructor();this.type=JXG.OBJECT_TYPE_TEXT;this.elementClass=JXG.OBJECT_CLASS_OTHER;this.init(k,c,a);this.contentStr=o;this.plaintextStr="";this.visProp.strokeColor=this.board.options.text.strokeColor;this.visProp.visible=true;if(d!=null){this.digits=d}else{this.digits=2}if((this.element=this.board.objects[g])){var h=this.element.getTextAnchor();this.element.addChild(this);this.relativeCoords=new JXG.Coords(JXG.COORDS_BY_USER,[parseFloat(m[0]),parseFloat(m[1])],this.board);this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.relativeCoords.usrCoords[1]+h.usrCoords[1],this.relativeCoords.usrCoords[2]+h.usrCoords[2]],this.board)}else{var n=m[0];if(typeof n=="string"){var f=this.board.algebra.geonext2JS(n);this.X=new Function("","return "+f+";")}else{if(typeof n=="function"){this.X=n}else{if(typeof n=="number"){this.X=function(){return n}}}}var l=m[1];if(typeof l=="string"){var e=this.board.algebra.geonext2JS(l);this.Y=new Function("","return "+e+";")}else{if(typeof l=="function"){this.Y=l}else{if(typeof l=="number"){this.Y=function(){return l}}}}this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.X(),this.Y()],this.board);var j="this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.X(),this.Y()]);";this.updateCoords=new Function("",j)}if(typeof this.contentStr=="function"){this.updateText=function(){this.plaintextStr=this.contentStr()}}else{var b;if(typeof this.contentStr=="number"){b=this.board.round(this.contentStr,this.digits)}else{b=this.generateTerm(this.contentStr)}this.updateText=new Function("this.plaintextStr = "+b+";")}this.updateText();this.id=this.board.addText(this);this.notifyParents(this.contentStr)};JXG.Text.prototype=new JXG.GeometryElement();JXG.Text.prototype.hasPoint=function(a,b){return false};JXG.Text.prototype.update=function(){if(this.needsUpdate){if(this.relativeCoords){var a=this.element.getTextAnchor();this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.relativeCoords.usrCoords[1]+a.usrCoords[1],this.relativeCoords.usrCoords[2]+a.usrCoords[2]])}else{this.updateCoords()}this.updateText()}};JXG.Text.prototype.updateRenderer=function(){if(this.needsUpdate){this.board.renderer.updateText(this);this.needsUpdate=false}};JXG.Text.prototype.generateTerm=function(e){var d=null;var g=this.board.elementsByName;var f='""';e=e.replace(/\"/g,'\\"');e=e.replace(/\'/g,"\\'");e=e.replace(/&arc;/g,"∠");e=e.replace(//g,"∠");e=e.replace(//g,"√");var c;c=e.indexOf("");var a=e.indexOf("");if(c>=0){while(c>=0){f+=' + "'+this.board.algebra.replaceSub(this.board.algebra.replaceSup(e.slice(0,c)))+'"';var b=e.slice(c+7,a);var d=this.board.algebra.geonext2JS(b);d=d.replace(/\\"/g,'"');d=d.replace(/\\'/g,"'");if(d.indexOf("this.board.algebra.round")<0){f+="+(this.board.algebra.round("+d+","+(this.digits)+"))"}else{f+="+("+d+")"}e=e.slice(a+8);c=e.indexOf("");a=e.indexOf("")}}f+=' + "'+this.board.algebra.replaceSub(this.board.algebra.replaceSup(e))+'"';f=f.replace(//g,"");f=f.replace(/<\/overline>/g,"");f=f.replace(//g,"");f=f.replace(/<\/arrow>/g,"");f=f.replace(/&/g,"&");return f};JXG.Text.prototype.notifyParents=function(c){var b=null;var d=this.board.elementsByName;do{var a=/([\w\s\*\/\^\-\+\(\)\[\],<>=!]+)<\/value>/;b=a.exec(c);if(b!=null){this.board.algebra.findDependencies(this,b[1]);c=c.substr(b.index);c=c.replace(a,"")}}while(b!=null)};JXG.createText=function(a,c,b){return new JXG.Text(a,c[c.length-1],null,c,b.id,b.name,b.digits)};JXG.JSXGraph.registerElement("text",JXG.createText);JXG.Image=function(e,d,g,b,f,h,a,c){this.type=JXG.OBJECT_TYPE_IMAGE;this.elementClass=JXG.OBJECT_CLASS_OTHER;this.transformations=[];this.init(e,h,a);this.coords=new JXG.Coords(JXG.COORDS_BY_USER,g,this.board);this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,g,this.board);this.size=[b[0]*e.zoomX*e.unitX,b[1]*e.zoomY*e.unitY];this.imageBase64String=d;this.displayLevel=f;this.parent=c;this.visProp.visible=true;this.id=this.board.addImage(this)};JXG.Image.prototype=new JXG.GeometryElement;JXG.Image.prototype.hasPoint=function(a,b){return false};JXG.Image.prototype.updateRenderer=function(){this.updateTransform();this.board.renderer.updateImage(this)};JXG.Image.prototype.updateTransform=function(){if(this.transformations.length==0){return}for(var a=0;a0){return this[0].length}else{return 0}};JXG.Math.Matrix.prototype.exchangeRows=function(c,b){var a=this[c];this[c]=this[b];this[b]=a};JXG.DimensionMismatchException=function(a){if((typeof a!=undefined)&&(a!=null)){this.message=a}else{this.message=null}};JXG.DimensionMismatchException.prototype.what=function(){var a="Matrix has incorrect dimensions";if(this.message!=null){return a+": "+this.message+"."}else{return a+"."}};JXG.SingularMatrixException=function(a){if((typeof a!=undefined)&&(a!=null)){this.message=a}else{this.message=null}};JXG.SingularMatrixException.prototype.what=function(){var a="Matrix is singular";if(this.message!=null){return a+": "+this.message+"."}else{return a+"."}};JXG.Math.Numerics=new Object();JXG.Math.Numerics.INT_TRAPEZ=1;JXG.Math.Numerics.INT_SIMPSON=2;JXG.Math.Numerics.INT_MILNE=3;JXG.Math.Numerics.number_of_nodes=28;JXG.Math.Numerics.integration_type=JXG.INT_MILNE;JXG.Math.Numerics.backwardSolve=function(f,c){var a=c;for(var e=f.m()-1;e>=0;e--){for(var d=f.n()-1;d>e;d--){a[e]-=f[e][d]*a[d]}a[e]/=f[e][e]}return a};JXG.Math.Numerics.Gauss=function(a,h){var m=1e-12;var f=new JXG.Math.Vector();for(var e=0;ed;e--){if(Math.abs(a[e][d])>JXG.Math.eps){if(Math.abs(a[d][d])0){throw"Error: INT_SIMPSONS requires Algebra.number_of_nodes dividable by 2."}var c=this.number_of_nodes/2;b=g(d[0])+g(d[1]);h=d[0];for(e=0;e0){throw"Error in INT_MILNE: Algebra.number_of_nodes must be a multiple of 4"}c=this.number_of_nodes*0.25;b=7*(g(d[0])+g(d[1]));h=d[0];for(e=0;e=0;e--){m[e]=(g[e]-(o[e+1]*m[e+1]))/f[e]}for(var e=a-3;e>=0;e--){m[e+1]=m[e]}m[0]=0;m[a-1]=0;return m};JXG.Math.Numerics.splineEval=function(f,u,s,w){if(u.length!=s.length){throw"Error in JXG.Math.Numerics.splineEval: Defining vector dimensions do not match."}var g=u.length;var k=1;var h=false;if(JXG.IsArray(f)){k=f.length;h=true}else{f=[f]}var v=new Array();for(var o=0;ou[g-1])){return"NaN"}var m;for(m=1;m0){return this.sum(a)/a.length}else{return 0}};JXG.MathStatistics.prototype.median=function(b){if(b.length>0){var c=b.clone();c.sort(function(e,d){return e-d});var a=c.length;if(a%2==1){return c[parseInt(a*0.5)]}else{return(c[a*0.5-1]+c[a*0.5])*0.5}}else{return 0}};JXG.MathStatistics.prototype.variance=function(c){if(c.length>1){var b=this.mean(c);var e=0;for(var d=0,a=c.length;d0){var c=this.multiply(a,b);return this.mean(c)}else{return 0}};JXG.MathStatistics.prototype.max=function(b){if(b.length==0){return NaN}var d=b[0];for(var c=1,a=b.length;cd)?(b[c]):d}return d};JXG.MathStatistics.prototype.min=function(b){if(b.length==0){return NaN}var d=b[0];for(var c=1,a=b.length;c0&&(typeof l[0]=="number")){k=l;m=[];for(f=0;f>2;g=((k&3)<<4)|(h>>4);e=((h&15)<<2)|(f>>6);d=f&63;if(isNaN(h)){e=d=64}else{if(isNaN(f)){d=64}}a=a+this._keyStr.charAt(j)+this._keyStr.charAt(g)+this._keyStr.charAt(e)+this._keyStr.charAt(d)}return a},decode:function(d,c){var a="";var l,j,g;var k,h,f,e;var b=0;d=d.replace(/[^A-Za-z0-9\+\/\=]/g,"");while(b>4);j=((h&15)<<4)|(f>>2);g=((f&3)<<6)|e;a=a+String.fromCharCode(l);if(f!=64){a=a+String.fromCharCode(j)}if(e!=64){a=a+String.fromCharCode(g)}}if(c){a=Base64._utf8_decode(a)}return a},_utf8_encode:function(b){b=b.replace(/\r\n/g,"\n");var a="";for(var e=0;e127)&&(d<2048)){a+=String.fromCharCode((d>>6)|192);a+=String.fromCharCode((d&63)|128)}else{a+=String.fromCharCode((d>>12)|224);a+=String.fromCharCode(((d>>6)&63)|128);a+=String.fromCharCode((d&63)|128)}}}return a},_utf8_decode:function(a){var d="";var f=0;var g,e,b;g=e=b=0;while(f191)&&(g<224)){e=a.charCodeAt(f+1);d+=String.fromCharCode(((g&31)<<6)|(e&63));f+=2}else{e=a.charCodeAt(f+1);b=a.charCodeAt(f+2);d+=String.fromCharCode(((g&15)<<12)|((e&63)<<6)|(b&63));f+=3}}}return d},_destrip:function(d){d.replace(/ /g,"");lines=[];var c=d.length/76;for(var b=0;b>=1;if(P==0){P=d();R=(P&1);P=(P>>1)|128}return R}function I(R){var T=0;var S=R;while(S--){T=(T<<1)|K()}if(R){T=L[T]>>(8-R)}return T}var g=new Array(32768);var M=0;var J,z;function c(){M=0}function s(R){z++;g[M++]=R;l.push(String.fromCharCode(R));if(M==32768){M=0}}function k(){this.b0=0;this.b1=0;this.jump=null;this.jumppos=-1}var e=288;var r=new Array(e);var E=new Array(32);var A=0;var N=null;var o=null;var D=new Array(64);var B=new Array(64);var t=0;var w=new Array(17);w[0]=0;var F;var p;function h(){while(1){if(w[t]>=p){return -1}if(F[w[t]]==t){return w[t]++}w[t]++}}function x(){var S=N[A];var R;if(t==17){return -1}A++;t++;R=h();if(R>=0){S.b0=R}else{S.b0=32768;if(x()){return -1}}R=h();if(R>=0){S.b1=R;S.jump=null}else{S.b1=32768;S.jump=N[A];S.jumppos=A;if(x()){return -1}}t--;return 0}function j(U,S,V,R){var T;N=U;A=0;F=V;p=S;for(T=0;T<17;T++){w[T]=0}t=0;if(x()){return -1}return 0}function v(T){var V=0;var U=T[V];while(1){var R;if(R=K()){if(!(U.b1&32768)){return U.b1}U=U.jump;for(var S=0;S>1);if(U>23){U=(U<<1)|K();if(U>199){U-=128;U=(U<<1)|K()}else{U-=48;if(U>143){U=U+136}}}else{U+=256}if(U<256){s(U)}else{if(U==256){break}else{var W,aa;U-=256+1;W=I(G[U])+O[U];U=L[I(5)]>>3;if(u[U]>8){aa=I(8);aa|=(I(u[U]-8)<<8)}else{aa=I(u[U])}aa+=C[U];for(U=0;UR){c();return 1}S=V?ad[V-1]:0;while(U--){ad[V++]=S}}else{if(U==17){U=3+I(3)}else{U=11+I(7)}if(V+U>R){c();return 1}while(U--){ad[V++]=0}}}}for(V=0;V=256){var W,aa;U-=256;if(U==0){break}U--;W=I(G[U])+O[U];U=v(E);if(u[U]>8){aa=I(8);aa|=(I(u[U]-8)<<8)}else{aa=I(u[U])}aa+=C[U];while(W--){var Z=g[(M-aa)&32767];s(Z)}}else{s(U)}}}}}}while(!af);c();n();return 0}JXG.Gunzip.prototype.unzip=function(){d(2);Q();return(l.join(""))}};JXG.Transformation=function(b,a,c){this.elementClass=JXG.OBJECT_CLASS_OTHER;this.matrix=[[1,0,0],[0,1,0],[0,0,1]];this.board=b;this.isNumericMatrix=false;this.setMatrix(b,a,c)};JXG.Transformation.prototype={};JXG.Transformation.prototype.update=function(){};JXG.Transformation.prototype.setMatrix=function(c,b,d){var a;this.isNumericMatrix=true;for(a=0;a1){if(d.length==3){var e=this.evalParam(1);var g=this.evalParam(2)}else{var e=d[1].X();var g=d[1].Y()}this.matrix[1][0]=e*(1-Math.cos(f))+g*Math.sin(f);this.matrix[2][0]=g*(1-Math.cos(f))-e*Math.sin(f)}}}else{if(b=="shear"){this.evalParam=JXG.createEvalFunction(c,d,1);this.update=function(){var e=this.evalParam(0);this.matrix[1][1]=Math.tan(e)}}else{if(b=="generic"){this.evalParam=JXG.createEvalFunction(c,d,9);this.update=function(){this.matrix[0][0]=this.evalParam(0);this.matrix[0][1]=this.evalParam(1);this.matrix[0][2]=this.evalParam(2);this.matrix[1][0]=this.evalParam(3);this.matrix[1][1]=this.evalParam(4);this.matrix[1][2]=this.evalParam(5);this.matrix[2][0]=this.evalParam(6);this.matrix[2][1]=this.evalParam(7);this.matrix[2][2]=this.evalParam(8)}}}}}}}};JXG.Transformation.prototype.apply=function(a){this.update();if(arguments[1]!=null){return this.matVecMult(this.matrix,a.initialCoords.usrCoords)}else{return this.matVecMult(this.matrix,a.coords.usrCoords)}};JXG.Transformation.prototype.applyOnce=function(b){if(!JXG.IsArray(b)){this.update();var d=this.matVecMult(this.matrix,b.coords.usrCoords);b.coords.setCoordinates(JXG.COORDS_BY_USER,[d[1],d[2]])}else{for(var a=0;a1){a*=b;b--}return a}};JXG.Point.prototype.setPositionX=function(c,a){var b=(c==JXG.COORDS_BY_USER)?this.coords.usrCoords[2]:this.coords.scrCoords[2];this.setPosition(c,a,b)};JXG.Point.prototype.setPositionY=function(c,b){var a=(c==JXG.COORDS_BY_USER)?this.coords.usrCoords[1]:this.coords.scrCoords[1];this.setPosition(c,a,b)};JXG.Board.prototype.getElement=function(a){return JXG.GetReferenceFromParameter(this,a)};JXG.Board.prototype.intersectionOptions=["point",[[JXG.OBJECT_CLASS_LINE,JXG.OBJECT_CLASS_LINE],[JXG.OBJECT_CLASS_LINE,JXG.OBJECT_CLASS_CIRCLE],[JXG.OBJECT_CLASS_CIRCLE,JXG.OBJECT_CLASS_CIRCLE]]];JXG.Board.prototype.intersectionFunc=function(c,a,b){return function(){return c.board.algebra.meet(c.stdform,a.stdform)[b]}};JXG.Board.prototype.pointFunc=function(){return[null]};JXG.Board.prototype.pointOptions=["point",[[JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.lineFunc=function(){return arguments};JXG.Board.prototype.lineOptions=["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.linesegmentFunc=function(){return arguments};JXG.Board.prototype.linesegmentOptions=["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.linesegmentAtts={straightFirst:false,straightLast:false};JXG.Board.prototype.arrowFunc=function(){return arguments};JXG.Board.prototype.arrowOptions=["arrow",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.circleFunc=function(){return arguments};JXG.Board.prototype.circleOptions=["circle",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE],[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_CIRCLE]]];JXG.Board.prototype.arrowparallelOptions=["arrowparallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.arrowparallelFunc=function(){return arguments};JXG.Board.prototype.bisectorOptions=["bisector",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.bisectorFunc=function(){return arguments};JXG.Board.prototype.circumcircleOptions=["circumcircle",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.circumcircleFunc=function(){return arguments};JXG.Board.prototype.circumcirclemidpointOptions=["circumcirclemidpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.circumcirclemidpointFunc=function(){return arguments};JXG.Board.prototype.integralOptions=["integral",[[]]];JXG.Board.prototype.integralFunc=function(){return arguments};JXG.Board.prototype.midpointOptions=["midpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.midpointFunc=function(){return arguments};JXG.Board.prototype.mirrorpointOptions=["mirrorpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.mirrorpointFunc=function(){return arguments};JXG.Board.prototype.normalOptions=["normal",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.normalFunc=function(){return arguments};JXG.Board.prototype.parallelOptions=["parallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.parallelFunc=function(){return arguments};JXG.Board.prototype.parallelpointOptions=["parallelpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]];JXG.Board.prototype.parallelpointFunc=function(){return arguments};JXG.Board.prototype.perpendicularOptions=["perpendicular",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.perpendicularFunc=function(){return arguments};JXG.Board.prototype.perpendicularpointOptions=["perpendicularpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.perpendicularpointFunc=function(){return arguments};JXG.Board.prototype.reflectionOptions=["reflection",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]];JXG.Board.prototype.reflectionFunc=function(){return arguments};JXG.Options=function(){this.fontSize=12;this.grid=new Object();this.grid.hasGrid=false;this.grid.gridX=2;this.grid.gridY=2;this.grid.gridColor="#C0C0C0";this.grid.gridOpacity="1";this.grid.gridDash=true;this.grid.snapToGrid=false;this.grid.snapSizeX=2;this.grid.snapSizeY=2;this.zoom=new Object();this.zoom.factor=1.25;this.elements=new Object();this.elements.color=new Object();this.elements.color.strokeOpacity=1;this.elements.color.highlightStrokeOpacity=1;this.elements.color.fillOpacity=1;this.elements.color.highlightFillOpacity=1;this.elements.color.strokeColor="#0000ff";this.elements.color.highlightStrokeColor="#C3D9FF";this.elements.color.fillColor="none";this.elements.color.highlightFillColor="none";this.elements.strokeWidth="2px";this.elements.draft=new Object();this.elements.draft.draft=false;this.elements.draft.color="#565656";this.elements.draft.opacity=0.8;this.elements.draft.strokeWidth="1px";this.point=new Object();this.point.style=5;this.point.fillColor="#ff0000";this.point.highlightFillColor="#EEEEEE";this.point.strokeColor=this.elements.color.strokeColor;this.point.highlightStrokeColor=this.elements.color.highlightStrokeColor;this.line=new Object();this.line.firstArrow=false;this.line.lastArrow=false;this.line.straightFirst=true;this.line.straightLast=true;this.line.fillColor=this.elements.color.fillColor;this.line.highlightFillColor=this.elements.color.highlightFillColor;this.line.strokeColor=this.elements.color.strokeColor;this.line.highlightStrokeColor=this.elements.color.highlightStrokeColor;this.line.ticks=new Object();this.line.ticks.withTicks=false;this.line.ticks.ticksDelta=1;this.circle=new Object();this.circle.fillColor=this.elements.color.fillColor;this.circle.highlightFillColor=this.elements.color.highlightFillColor;this.circle.strokeColor=this.elements.color.strokeColor;this.circle.highlightStrokeColor=this.elements.color.highlightStrokeColor;this.angle=new Object();this.angle.radius=1;this.angle.fillColor="#FF7F00";this.angle.highlightFillColor="#FF7F00";this.angle.strokeColor="#FF7F00";this.angle.fillOpacity=0.3;this.angle.highlightFillOpacity=0.3;this.arc=new Object();this.arc.firstArrow=false;this.arc.lastArrow=false;this.arc.fillColor=this.elements.color.fillColor;this.arc.highlightFillColor=this.elements.color.highlightFillColor;this.arc.strokeColor=this.elements.color.strokeColor;this.arc.highlightStrokeColor=this.elements.color.highlightStrokeColor;this.polygon=new Object();this.polygon.fillColor="#00FF00";this.polygon.highlightFillColor="#00FF00";this.polygon.fillOpacity=0.3;this.polygon.highlightFillOpacity=0.3;this.sector=new Object();this.sector.fillColor="#00FF00";this.sector.highlightFillColor="#00FF00";this.sector.fillOpacity=0.3;this.sector.highlightFillOpacity=0.3;this.text=new Object();this.text.strokeColor="#000000";this.curve=new Object();this.curve.strokeWidth="1px";this.curve.strokeColor=this.elements.color.strokeColor;this.precision=new Object();this.precision.hasPoint=4;this.precision.epsilon=0.0001};JXG.Options.prototype.useStandardOptions=function(b){b.hasGrid=this.grid.hasGrid;b.gridX=this.grid.gridX;b.gridY=this.grid.gridY;b.gridColor=this.grid.gridColor;b.gridOpacity=this.grid.gridOpacity;b.gridDash=this.grid.gridDash;b.snapToGrid=this.grid.snapToGrid;b.snapSizeX=this.grid.SnapSizeX;b.snapSizeY=this.grid.SnapSizeY;for(var a in b.objects){if(b.objects[a].type==JXG.OBJECT_TYPE_POINT){b.objects[a].visProp.fillColor=this.point.fillColor;b.objects[a].visProp.highlightFillColor=this.point.highlightFillColor;b.objects[a].visProp.strokeColor=this.point.strokeColor;b.objects[a].visProp.highlightStrokeColor=this.point.highlightStrokeColor}else{if(b.objects[a].type==JXG.OBJECT_TYPE_LINE){b.objects[a].visProp.fillColor=this.line.fillColor;b.objects[a].visProp.highlightFillColor=this.line.highlightFillColor;b.objects[a].visProp.strokeColor=this.line.strokeColor;b.objects[a].visProp.highlightStrokeColor=this.line.highlightStrokeColor}else{if(b.objects[a].type==JXG.OBJECT_TYPE_CIRCLE){b.objects[a].visProp.fillColor=this.circle.fillColor;b.objects[a].visProp.highlightFillColor=this.circle.highlightFillColor;b.objects[a].visProp.strokeColor=this.circle.strokeColor;b.objects[a].visProp.highlightStrokeColor=this.circle.highlightStrokeColor}else{if(b.objects[a].type==JXG.OBJECT_TYPE_ANGLE){b.objects[a].visProp.fillColor=this.angle.fillColor;b.objects[a].visProp.highlightFillColor=this.angle.highlightFillColor;b.objects[a].visProp.strokeColor=this.angle.strokeColor}else{if(b.objects[a].type==JXG.OBJECT_TYPE_ARC){b.objects[a].visProp.fillColor=this.arc.fillColor;b.objects[a].visProp.highlightFillColor=this.arc.highlightFillColor;b.objects[a].visProp.strokeColor=this.arc.strokeColor;b.objects[a].visProp.highlightStrokeColor=this.arc.highlightStrokeColor}else{if(b.objects[a].type==JXG.OBJECT_TYPE_POLYGON){b.objects[a].visProp.fillColor=this.polygon.fillColor;b.objects[a].visProp.highlightFillColor=this.polygon.highlightFillColor;b.objects[a].visProp.fillOpacity=this.polygon.fillOpacity;b.objects[a].visProp.highlightFillOpacity=this.polygon.highlightFillOpacity}else{if(b.objects[a].type==JXG.OBJECT_TYPE_CURVE){b.objects[a].visProp.strokeColor=this.curve.strokeColor}}}}}}}}for(var a in b.objects){if(b.objects[a].type==JXG.OBJECT_TYPE_SECTOR){b.objects[a].arc.visProp.fillColor=this.sector.fillColor;b.objects[a].arc.visProp.highlightFillColor=this.sector.highlightFillColor;b.objects[a].arc.visProp.fillOpacity=this.sector.fillOpacity;b.objects[a].arc.visProp.highlightFillOpacity=this.sector.highlightFillOpacity}}b.fullUpdate=true;b.update();b.fullUpdate=false;if(b.hasGrid){b.renderer.removeGrid(b);b.renderer.drawGrid(b)}};JXG.Options.prototype.useBlackWhiteOptions=function(a){this.point.fillColor=this.changeColorToBlackWhite(this.point.fillColor);this.point.highlightFillColor=this.changeColorToBlackWhite(this.point.highlightFillColor);this.point.strokeColor=this.changeColorToBlackWhite(this.point.strokeColor);this.point.highlightStrokeColor=this.changeColorToBlackWhite(this.point.highlightStrokeColor);this.line.fillColor=this.changeColorToBlackWhite(this.line.fillColor);this.line.highlightFillColor=this.changeColorToBlackWhite(this.line.highlightFillColor);this.line.strokeColor=this.changeColorToBlackWhite(this.line.strokeColor);this.line.highlightStrokeColor=this.changeColorToBlackWhite(this.line.highlightStrokeColor);this.circle.fillColor=this.changeColorToBlackWhite(this.circle.fillColor);this.circle.highlightFillColor=this.changeColorToBlackWhite(this.circle.highlightFillColor);this.circle.strokeColor=this.changeColorToBlackWhite(this.circle.strokeColor);this.circle.highlightStrokeColor=this.changeColorToBlackWhite(this.circle.highlightStrokeColor);this.arc.fillColor=this.changeColorToBlackWhite(this.arc.fillColor);this.arc.highlightFillColor=this.changeColorToBlackWhite(this.arc.highlightFillColor);this.arc.strokeColor=this.changeColorToBlackWhite(this.arc.strokeColor);this.arc.highlightStrokeColor=this.changeColorToBlackWhite(this.arc.highlightStrokeColor);this.polygon.fillColor=this.changeColorToBlackWhite(this.polygon.fillColor);this.polygon.highlightFillColor=this.changeColorToBlackWhite(this.polygon.highlightFillColor);this.sector.fillColor=this.changeColorToBlackWhite(this.sector.fillColor);this.sector.highlightFillColor=this.changeColorToBlackWhite(this.sector.highlightFillColor);this.curve.strokeColor=this.changeColorToBlackWhite(this.curve.strokeColor);this.grid.gridColor=this.changeColorToBlackWhite(this.grid.gridColor);this.useStandardOptions(a)};JXG.Options.prototype.changeColorToBlackWhite=function(d){if(d=="none"){return d}var e=new JXG.RGBColor(d);var j=e.r;var h=e.g;var c=e.b;var a=0.3*j+0.59*h+0.11*c;var k="0123456789ABCDEF";var f=k.charAt((a>>4)&15)+k.charAt(a&15);d="#"+f+""+f+""+f;return d};JXG.RGBColor=function(g){this.ok=false;if(g.charAt(0)=="#"){g=g.substr(1,6)}g=g.replace(/ /g,"");g=g.toLowerCase();var a={aliceblue:"f0f8ff",antiquewhite:"faebd7",aqua:"00ffff",aquamarine:"7fffd4",azure:"f0ffff",beige:"f5f5dc",bisque:"ffe4c4",black:"000000",blanchedalmond:"ffebcd",blue:"0000ff",blueviolet:"8a2be2",brown:"a52a2a",burlywood:"deb887",cadetblue:"5f9ea0",chartreuse:"7fff00",chocolate:"d2691e",coral:"ff7f50",cornflowerblue:"6495ed",cornsilk:"fff8dc",crimson:"dc143c",cyan:"00ffff",darkblue:"00008b",darkcyan:"008b8b",darkgoldenrod:"b8860b",darkgray:"a9a9a9",darkgreen:"006400",darkkhaki:"bdb76b",darkmagenta:"8b008b",darkolivegreen:"556b2f",darkorange:"ff8c00",darkorchid:"9932cc",darkred:"8b0000",darksalmon:"e9967a",darkseagreen:"8fbc8f",darkslateblue:"483d8b",darkslategray:"2f4f4f",darkturquoise:"00ced1",darkviolet:"9400d3",deeppink:"ff1493",deepskyblue:"00bfff",dimgray:"696969",dodgerblue:"1e90ff",feldspar:"d19275",firebrick:"b22222",floralwhite:"fffaf0",forestgreen:"228b22",fuchsia:"ff00ff",gainsboro:"dcdcdc",ghostwhite:"f8f8ff",gold:"ffd700",goldenrod:"daa520",gray:"808080",green:"008000",greenyellow:"adff2f",honeydew:"f0fff0",hotpink:"ff69b4",indianred:"cd5c5c",indigo:"4b0082",ivory:"fffff0",khaki:"f0e68c",lavender:"e6e6fa",lavenderblush:"fff0f5",lawngreen:"7cfc00",lemonchiffon:"fffacd",lightblue:"add8e6",lightcoral:"f08080",lightcyan:"e0ffff",lightgoldenrodyellow:"fafad2",lightgrey:"d3d3d3",lightgreen:"90ee90",lightpink:"ffb6c1",lightsalmon:"ffa07a",lightseagreen:"20b2aa",lightskyblue:"87cefa",lightslateblue:"8470ff",lightslategray:"778899",lightsteelblue:"b0c4de",lightyellow:"ffffe0",lime:"00ff00",limegreen:"32cd32",linen:"faf0e6",magenta:"ff00ff",maroon:"800000",mediumaquamarine:"66cdaa",mediumblue:"0000cd",mediumorchid:"ba55d3",mediumpurple:"9370d8",mediumseagreen:"3cb371",mediumslateblue:"7b68ee",mediumspringgreen:"00fa9a",mediumturquoise:"48d1cc",mediumvioletred:"c71585",midnightblue:"191970",mintcream:"f5fffa",mistyrose:"ffe4e1",moccasin:"ffe4b5",navajowhite:"ffdead",navy:"000080",oldlace:"fdf5e6",olive:"808000",olivedrab:"6b8e23",orange:"ffa500",orangered:"ff4500",orchid:"da70d6",palegoldenrod:"eee8aa",palegreen:"98fb98",paleturquoise:"afeeee",palevioletred:"d87093",papayawhip:"ffefd5",peachpuff:"ffdab9",peru:"cd853f",pink:"ffc0cb",plum:"dda0dd",powderblue:"b0e0e6",purple:"800080",red:"ff0000",rosybrown:"bc8f8f",royalblue:"4169e1",saddlebrown:"8b4513",salmon:"fa8072",sandybrown:"f4a460",seagreen:"2e8b57",seashell:"fff5ee",sienna:"a0522d",silver:"c0c0c0",skyblue:"87ceeb",slateblue:"6a5acd",slategray:"708090",snow:"fffafa",springgreen:"00ff7f",steelblue:"4682b4",tan:"d2b48c",teal:"008080",thistle:"d8bfd8",tomato:"ff6347",turquoise:"40e0d0",violet:"ee82ee",violetred:"d02090",wheat:"f5deb3",white:"ffffff",whitesmoke:"f5f5f5",yellow:"ffff00",yellowgreen:"9acd32"};for(var c in a){if(g==c){g=a[c]}}var h=[{re:/^rgb\((\d{1,3}),\s*(\d{1,3}),\s*(\d{1,3})\)$/,example:["rgb(123, 234, 45)","rgb(255,234,245)"],process:function(j){return[parseInt(j[1]),parseInt(j[2]),parseInt(j[3])]}},{re:/^(\w{2})(\w{2})(\w{2})$/,example:["#00ff00","336699"],process:function(j){return[parseInt(j[1],16),parseInt(j[2],16),parseInt(j[3],16)]}},{re:/^(\w{1})(\w{1})(\w{1})$/,example:["#fb0","f0f"],process:function(j){return[parseInt(j[1]+j[1],16),parseInt(j[2]+j[2],16),parseInt(j[3]+j[3],16)]}}];for(var b=0;b255)?255:this.r);this.g=(this.g<0||isNaN(this.g))?0:((this.g>255)?255:this.g);this.b=(this.b<0||isNaN(this.b))?0:((this.b>255)?255:this.b)};JXG.RGBColor.prototype.toRGB=function(){return"rgb("+this.r+", "+this.g+", "+this.b+")"};JXG.RGBColor.prototype.toHex=function(){var d=this.r.toString(16);var c=this.g.toString(16);var a=this.b.toString(16);if(d.length==1){d="0"+d}if(c.length==1){c="0"+c}if(a.length==1){a="0"+a}return"#"+d+c+a};JXG.SVGRenderer=function(a){this.constructor();this.svgRoot=null;this.suspendHandle=null;this.svgNamespace="http://www.w3.org/2000/svg";this.xlinkNamespace="http://www.w3.org/1999/xlink";this.container=a;this.container.style.MozUserSelect="none";this.container.style.overflow="hidden";if(this.container.style.position==""){this.container.style.position="relative"}this.svgRoot=this.container.ownerDocument.createElementNS(this.svgNamespace,"svg");this.container.appendChild(this.svgRoot);this.defs=this.container.ownerDocument.createElementNS(this.svgNamespace,"defs");this.svgRoot.appendChild(this.defs);this.images=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.images);this.grid=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.grid);this.angles=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.angles);this.sectors=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.sectors);this.polygone=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.polygone);this.curves=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.curves);this.circles=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.circles);this.lines=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.lines);this.arcs=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.arcs);this.points=this.container.ownerDocument.createElementNS(this.svgNamespace,"g");this.svgRoot.appendChild(this.points);this.dashArray=["2, 2","5, 5","10, 10","20, 20","20, 10, 10, 10","20, 5, 10, 5"]};JXG.SVGRenderer.prototype=new JXG.AbstractRenderer;JXG.SVGRenderer.prototype.displayCopyright=function(c,d){var b=this.createPrimitive("text","licenseText");b.setAttributeNS(null,"x","20");b.setAttributeNS(null,"y",2+d);b.setAttributeNS(null,"style","font-family:Arial,Helvetica,sans-serif; font-size:"+d+"px; fill:#356AA0; opacity:0.3;");var a=document.createTextNode(c);b.appendChild(a);this.appendChildPrimitive(b,"images")};JXG.SVGRenderer.prototype.drawAxis=function(b){var c=this.createPrimitive("line",b.id);c.setAttributeNS(null,"stroke",b.visProp.strokeColor);c.setAttributeNS(null,"stroke-width",b.visProp.strokeWidth);var a=this.createArrowHead(b);a.setAttributeNS(null,"fill",b.visProp.strokeColor);this.defs.appendChild(a);c.setAttributeNS(null,"marker-end","url(#"+b.id+"Triangle)");this.lines.appendChild(c);b.rendNode=c;b.rendNodeTriangle=a;this.updateAxisTicks(b,0);this.updateAxis(b)};JXG.SVGRenderer.prototype.updateAxis=function(c){var b=new JXG.Coords(JXG.COORDS_BY_USER,[c.point1.coords.usrCoords[1],c.point1.coords.usrCoords[2]],c.board);var a=new JXG.Coords(JXG.COORDS_BY_USER,[c.point2.coords.usrCoords[1],c.point2.coords.usrCoords[2]],c.board);if(c.visProp.straightFirst||c.visProp.straightLast){this.calcStraight(c,b,a)}var d=$(c.id);if(c.point1.coords.scrCoords[1]==c.point2.coords.scrCoords[1]){this.updateLinePrimitive(d,c.board.origin.scrCoords[1],c.board.canvasHeight,c.board.origin.scrCoords[1],0)}else{this.updateLinePrimitive(d,0,c.board.origin.scrCoords[2],c.board.canvasWidth,c.board.origin.scrCoords[2])}this.setStrokeProp(d,c.visProp);this.updateAxisTicksInnerLoop(c,0)};JXG.SVGRenderer.prototype.drawArc=function(b){var c=this.createPrimitive("path",b.id);b.rendNode=c;var g=b.getRadius();var d=b.board.algebra.trueAngle(b.point2,b.midpoint,b.point3);var a={};a.midpoint=b.midpoint;a.getRadius=function(){return g};var h=b.board.algebra.projectPointToCircle(b.point3,a);var e="M "+b.point2.coords.scrCoords[1]+" "+b.point2.coords.scrCoords[2]+" A ";e+=Math.round(g*b.board.unitX*b.board.zoomX)+" "+Math.round(g*b.board.unitY*b.board.zoomY)+" 0 ";if(d>=180){e+="1 "}else{e+="0 "}e+="0 ";e+=h.scrCoords[1]+" "+h.scrCoords[2];this.updatePathPrimitive(c,e);this.setStrokeProp(c,b.visProp);c.setAttributeNS(null,"fill","none");this.setDashStyle(c,b.visProp);var l;var k;if(b.visProp.firstArrow){var l=this.createArrowHead(b,"Start");this.defs.appendChild(l);b.rendNodeTriangleStart=l;c.setAttributeNS(null,"marker-end","url(#"+b.id+"TriangleStart)")}if(b.visProp.lastArrow){var l=this.createArrowHead(b,"End");this.defs.appendChild(l);b.rendNodeTriangleEnd=l;c.setAttributeNS(null,"marker-start","url(#"+b.id+"TriangleEnd)")}var j=this.createPrimitive("path",b.id+"_fill");var f="M "+b.midpoint.coords.scrCoords[1]+" "+b.midpoint.coords.scrCoords[2];f+=" L "+b.point2.coords.scrCoords[1]+" "+b.point2.coords.scrCoords[2]+" A ";f+=Math.round(g*b.board.unitX*b.board.zoomX)+" "+Math.round(g*b.board.unitY*b.board.zoomY)+" 0 ";if(d>=180){f+="1 "}else{f+="0 "}f+="0 ";f+=h.scrCoords[1]+" "+h.scrCoords[2];f+=" L "+b.midpoint.coords.scrCoords[1]+" "+b.midpoint.coords.scrCoords[2]+" z";this.updatePathPrimitive(j,f);this.setFillProp(j,b.visProp);j.setAttributeNS(null,"stroke","none");this.arcs.appendChild(c);this.sectors.appendChild(j);b.rendNodeFill=j;this.setDraft(b);if(!b.visProp.visible){b.hideElement()}};JXG.SVGRenderer.prototype.drawAngle=function(e){var h=e.board.algebra.trueAngle(e.point1,e.point2,e.point3);var g={};g.midpoint=e.point2;g.getRadius=function(){return e.radius};var d=e.board.algebra.projectPointToCircle(e.point1,g);var b=e.board.algebra.projectPointToCircle(e.point3,g);var f=this.createPrimitive("path",e.id+"_1");var c="M "+e.point2.coords.scrCoords[1]+" "+e.point2.coords.scrCoords[2];c+=" L "+d.scrCoords[1]+" "+d.scrCoords[2]+" A ";c+=Math.round(e.radius*e.board.unitX*e.board.zoomX)+" "+Math.round(e.radius*e.board.unitY*e.board.zoomY)+" 0 ";if(h>=180){c+="1 "}else{c+="0 "}c+="0 ";c+=b.scrCoords[1]+" "+b.scrCoords[2];c+=" L "+e.point2.coords.scrCoords[1]+" "+e.point2.coords.scrCoords[2]+" z";f.setAttributeNS(null,"d",c);f.setAttributeNS(null,"fill",e.visProp.fillColor);f.setAttributeNS(null,"fill-opacity",e.visProp.fillOpacity);f.setAttributeNS(null,"stroke","none");var a=this.createPrimitive("path",e.id+"_2");var c="M "+d.scrCoords[1]+" "+d.scrCoords[2]+" A ";c+=Math.round(e.radius*e.board.unitX*e.board.zoomX)+" "+Math.round(e.radius*e.board.unitY*e.board.zoomY)+" 0 ";if(h>=180){c+="1 "}else{c+="0 "}c+="0 ";c+=b.scrCoords[1]+" "+b.scrCoords[2];a.setAttributeNS(null,"d",c);a.setAttributeNS(null,"id",e.id+"_2");a.setAttributeNS(null,"fill","none");a.setAttributeNS(null,"stroke",e.visProp.strokeColor);a.setAttributeNS(null,"stroke-opacity",e.visProp.strokeOpacity);this.appendChildPrimitive(f,"angles");e.rendNode1=f;this.appendChildPrimitive(a,"angles");e.rendNode2=a;this.setObjectStrokeWidth(e,e.visProp.strokeWidth)};JXG.SVGRenderer.prototype.updateAngle=function(a){this.remove(a.rendNode1);this.remove(a.rendNode2);this.drawAngle(a);if(!a.visProp.visible){a.hideElement()}return};JXG.SVGRenderer.prototype.drawImage=function(b){var a="data:image/png;base64,"+b.imageBase64String;var c=this.createPrimitive("image",b.id);c.setAttributeNS(this.xlinkNamespace,"xlink:href",a);this.appendChildPrimitive(c,b.displayLevel);b.rendNode=c;this.updateImage(b)};JXG.SVGRenderer.prototype.transformImage=function(b,a){var c=b.rendNode;var d=c.getAttributeNS(null,"transform");d+=" "+this.joinTransforms(b,a);c.setAttributeNS(null,"transform",d)};JXG.SVGRenderer.prototype.joinTransforms=function(d,b){var e="";for(var a=0;a0){b.removeChild(b.firstChild)}};JXG.SVGRenderer.prototype.setObjectDash=function(a){if(a.elementClass!=JXG.OBJECT_CLASS_POINT){var b;if(a.type==JXG.OBJECT_TYPE_ANGLE){b=a.rendNode2}else{b=a.rendNode}if(a.visProp.dash>0){var c=a.visProp.dash;b.setAttributeNS(null,"stroke-dasharray",this.dashArray[c-1])}else{if(b.hasAttributeNS(null,"stroke-dasharray")){b.removeAttributeNS(null,"stroke-dasharray")}}}};JXG.SVGRenderer.prototype.setObjectStrokeColor=function(d,a,b){if(b==undefined){b=1}var g,f;if(typeof b=="function"){f=b()}else{f=b}f=(f>0)?f:0;if(typeof a=="function"){g=a()}else{g=a}if(d.elementClass!=JXG.OBJECT_CLASS_POINT){var e=d.rendNode;if(d.type==JXG.OBJECT_TYPE_TEXT){e.style.color=g}else{if(d.type==JXG.OBJECT_TYPE_ANGLE){e=d.rendNode2;e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f)}else{e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f)}}if(d.type==JXG.OBJECT_TYPE_ARROW){d.rendNodeTriangle.setAttributeNS(null,"stroke",g);d.rendNodeTriangle.setAttributeNS(null,"stroke-opacity",f);d.rendNodeTriangle.setAttributeNS(null,"fill",g);d.rendNodeTriangle.setAttributeNS(null,"fill-opacity",f)}if(d.type==JXG.OBJECT_TYPE_ARC){if(d.visProp.firstArrow){d.rendNodeTriangleStart.setAttributeNS(null,"stroke",g);d.rendNodeTriangleStart.setAttributeNS(null,"stroke-opacity",f);d.rendNodeTriangleStart.setAttributeNS(null,"fill",g);d.rendNodeTriangleStart.setAttributeNS(null,"fill-opacity",f)}if(d.visProp.lastArrow){d.rendNodeTriangleEnd.setAttributeNS(null,"stroke",g);d.rendNodeTriangleEnd.setAttributeNS(null,"stroke-opacity",f);d.rendNodeTriangleEnd.setAttributeNS(null,"fill",g);d.rendNodeTriangleEnd.setAttributeNS(null,"fill-opacity",f)}}else{if(d.type==JXG.OBJECT_TYPE_LINE){if(d.visProp.firstArrow){d.rendNodeTriangleStart.setAttributeNS(null,"stroke",g);d.rendNodeTriangleStart.setAttributeNS(null,"stroke-opacity",f);d.rendNodeTriangleStart.setAttributeNS(null,"fill",g);d.rendNodeTriangleStart.setAttributeNS(null,"fill-opacity",f)}if(d.visProp.lastArrow){d.rendNodeTriangleEnd.setAttributeNS(null,"stroke",g);d.rendNodeTriangleEnd.setAttributeNS(null,"stroke-opacity",f);d.rendNodeTriangleEnd.setAttributeNS(null,"fill",g);d.rendNodeTriangleEnd.setAttributeNS(null,"fill-opacity",f)}}}}else{if(d.visProp.style>=3&&d.visProp.style<=9){var e=d.rendNode;e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f)}else{var e=d.rendNodeX1;e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f);e=d.rendNodeX2;e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f)}}};JXG.SVGRenderer.prototype.setObjectFillColor=function(d,a,b){if(b==undefined){b=1}var g,f;if(typeof b=="function"){f=b()}else{f=b}f=(f>0)?f:0;if(typeof a=="function"){g=a()}else{g=a}if(d.elementClass!=JXG.OBJECT_CLASS_POINT){if(d.type==JXG.OBJECT_TYPE_ARC){var e=d.rendNodeFill;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}else{if(d.type==JXG.OBJECT_TYPE_ANGLE){e=d.rendNode1;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}else{var e=d.rendNode;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}}}else{if(d.visProp.style>=3&&d.visProp.style<=9){var e=d.rendNode;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}else{var e=d.rendNodeX1;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f);e=d.rendNodeX2;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}}};JXG.SVGRenderer.prototype.hide=function(a){if(JXG.IsPoint(a)){if(a.visProp.style>=3&&a.visProp.style<=9){var b=a.rendNode;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}else{var b=a.rendNodeX1;b.setAttributeNS(null,"display","none");b.style.visibility="hidden";b=a.rendNodeX2;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}}else{if(a.type==JXG.OBJECT_TYPE_ARC){var b=a.rendNode;b.setAttributeNS(null,"display","none");b.style.visibility="hidden";b=a.rendNodeFill;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}else{if(a.type==JXG.OBJECT_TYPE_ANGLE){var b=a.rendNode1;b.setAttributeNS(null,"display","none");b.style.visibility="hidden";b=a.rendNode2;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}else{var b=a.rendNode;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}}}};JXG.SVGRenderer.prototype.show=function(a){if(JXG.IsPoint(a)){if(a.visProp.style>=3&&a.visProp.style<=9){var b=a.rendNode;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}else{var b=a.rendNodeX1;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit";b=a.rendNodeX2;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}}else{if(a.type==JXG.OBJECT_TYPE_ARC){var b=a.rendNode;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit";b=a.rendNodeFill;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}else{if(a.type==JXG.OBJECT_TYPE_ANGLE){var b=a.rendNode1;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit";b=a.rendNode2;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}else{var b=a.rendNode;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}}}};JXG.SVGRenderer.prototype.remove=function(a){a.parentNode.removeChild(a)};JXG.SVGRenderer.prototype.suspendRedraw=function(){if(true){this.suspendHandle=this.svgRoot.suspendRedraw(10000)}};JXG.SVGRenderer.prototype.unsuspendRedraw=function(){if(true){this.svgRoot.unsuspendRedraw(this.suspendHandle);this.svgRoot.forceRedraw()}};JXG.SVGRenderer.prototype.setStrokeProp=function(b,a){if(a.strokeColor!=null){b.setAttributeNS(null,"stroke",a.strokeColor)}if(a.strokeOpacity!=null){b.setAttributeNS(null,"stroke-opacity",a.strokeOpacity)}if(a.strokeWidth!=null){b.setAttributeNS(null,"stroke-width",a.strokeWidth)}};JXG.SVGRenderer.prototype.setFillProp=function(b,a){if(a.fillColor!=null){b.setAttributeNS(null,"fill",a.fillColor)}if(a.fillOpacity!=null){b.setAttributeNS(null,"fill-opacity",a.fillOpacity)}};JXG.SVGRenderer.prototype.setDashStyle=function(b,a){if(a.dash>0){var c=a.dash;b.setAttributeNS(null,"stroke-dasharray",this.dashArray[c-1])}};JXG.SVGRenderer.prototype.createPrimitive=function(a,c){var b=this.container.ownerDocument.createElementNS(this.svgNamespace,a);b.setAttributeNS(null,"id",c);b.style.position="absolute";return b};JXG.SVGRenderer.prototype.createArrowHead=function(c,e){var d=c.id+"Triangle";if(e!=null){d+=e}var b=this.createPrimitive("marker",d);b.setAttributeNS(null,"viewBox","0 0 10 6");b.setAttributeNS(null,"refY","3");b.setAttributeNS(null,"markerUnits","strokeWidth");b.setAttributeNS(null,"markerHeight","6");b.setAttributeNS(null,"markerWidth","6");b.setAttributeNS(null,"orient","auto");b.setAttributeNS(null,"stroke",c.visProp.strokeColor);b.setAttributeNS(null,"stroke-opacity",c.visProp.strokeOpacity);b.setAttributeNS(null,"fill",c.visProp.strokeColor);b.setAttributeNS(null,"fill-opacity",c.visProp.strokeOpacity);var a=this.container.ownerDocument.createElementNS(this.svgNamespace,"path");if(e=="End"){b.setAttributeNS(null,"refX","0");a.setAttributeNS(null,"d","M 0 3 L 10 6 L 10 0 z")}else{b.setAttributeNS(null,"refX","10");a.setAttributeNS(null,"d","M 0 0 L 10 3 L 0 6 z")}b.appendChild(a);return b};JXG.SVGRenderer.prototype.makeArrow=function(c,b,d){var a=this.createArrowHead(b,d);this.defs.appendChild(a);c.setAttributeNS(null,"marker-end","url(#"+b.id+"Triangle)");b.rendNodeTriangle=a};JXG.SVGRenderer.prototype.makeArrows=function(b){if(b.visProp.firstArrow){var a=b.rendNodeTriangleStart;if(a==null){a=this.createArrowHead(b,"End");this.defs.appendChild(a);b.rendNodeTriangleStart=a;b.rendNode.setAttributeNS(null,"marker-start","url(#"+b.id+"TriangleEnd)")}}else{var a=b.rendNodeTriangleStart;if(a!=null){this.remove(a)}}if(b.visProp.lastArrow){var a=b.rendNodeTriangleEnd;if(a==null){a=this.createArrowHead(b,"Start");this.defs.appendChild(a);b.rendNodeTriangleEnd=a;b.rendNode.setAttributeNS(null,"marker-end","url(#"+b.id+"TriangleStart)")}}else{var a=b.rendNodeTriangleEnd;if(a!=null){this.remove(a)}}};JXG.SVGRenderer.prototype.updateLinePrimitive=function(e,b,a,d,c){e.setAttributeNS(null,"x1",b);e.setAttributeNS(null,"y1",a);e.setAttributeNS(null,"x2",d);e.setAttributeNS(null,"y2",c)};JXG.SVGRenderer.prototype.updateCirclePrimitive=function(c,a,d,b){c.setAttributeNS(null,"cx",(a));c.setAttributeNS(null,"cy",(d));c.setAttributeNS(null,"r",(b))};JXG.SVGRenderer.prototype.updateEllipsePrimitive=function(b,a,e,d,c){b.setAttributeNS(null,"cx",(a));b.setAttributeNS(null,"cy",(e));b.setAttributeNS(null,"rx",(d));b.setAttributeNS(null,"ry",(c))};JXG.SVGRenderer.prototype.updateRectPrimitive=function(d,a,e,b,c){d.setAttributeNS(null,"x",(a));d.setAttributeNS(null,"y",(e));d.setAttributeNS(null,"width",(b));d.setAttributeNS(null,"height",(c))};JXG.SVGRenderer.prototype.updatePathPrimitive=function(a,b){a.setAttributeNS(null,"d",b);a.setAttributeNS(null,"stroke-linecap","round");a.setAttributeNS(null,"stroke-linejoin","round")};JXG.SVGRenderer.prototype.updatePathPrimitive2=function(a,c){var b=a.rendNode;b.setAttributeNS(null,"d",c);b.setAttributeNS(null,"stroke-linecap","round");b.setAttributeNS(null,"stroke-linejoin","round")};JXG.SVGRenderer.prototype.updatePathStringPrimitive=function(d){if(d.numberPoints<=0){return""}var g=" M ";var f="";var c=2*d.board.canvasHeight;var a=2*d.board.canvasWidth;for(var b=0;ba||Math.abs(e[2])>c){g=" M "}else{f+=g+e[1]+" "+e[2];g=" L "}}return f};JXG.SVGRenderer.prototype.updatePolygonePrimitive=function(d,b){d.setAttributeNS(null,"stroke","none");var e="";for(var a=0;a0){d.removeChild(d.firstChild)}d.remove()}for(var a=0;a<=this.gridYsize;a++){var d=$("gridy"+a);while(d.childNodes.length>0){d.removeChild(d.firstChild)}d.remove()}};JXG.VMLRenderer.prototype.hide=function(a){if(!JXG.IsPoint(a)){if(a.type!=JXG.OBJECT_TYPE_ANGLE){var b=a.rendNode;b.style.visibility="hidden";if(a.type==JXG.OBJECT_TYPE_ARC){b=a.rendNodeFill;b.style.visibility="hidden"}}else{var b=a.rendNode1;b.style.visibility="hidden";b=a.rendNode2;b.style.visibility="hidden"}}else{if(a.visProp.style>=3&&a.visProp.style<=9){var b=a.rendNode;b.style.visibility="hidden"}else{var b=a.rendNodeX1;b.style.visibility="hidden";var b=a.rendNodeX2;b.style.visibility="hidden"}}};JXG.VMLRenderer.prototype.show=function(a){if(!JXG.IsPoint(a)){if(a.type!=JXG.OBJECT_TYPE_ANGLE){var b=a.rendNode;b.style.visibility="inherit";if(a.type==JXG.OBJECT_TYPE_ARC){b=a.rendNodeFill;b.style.visibility="inherit"}}else{var b=a.rendNode1;b.style.visibility="inherit";b=a.rendNode2;b.style.visibility="inherit"}}else{if(a.visProp.style>=3&&a.visProp.style<=9){var b=a.rendNode;b.style.visibility="inherit"}else{var b=a.rendNodeX1;b.style.visibility="inherit";var b=a.rendNodeX2;b.style.visibility="inherit"}}};JXG.VMLRenderer.prototype.setObjectDash=function(b){if(b.elementClass!=JXG.OBJECT_CLASS_POINT){if(b.type==JXG.OBJECT_TYPE_ANGLE){var c=b.rendNode2;var a=b.visProp.dash;c.setAttribute("dashstyle",this.dashArray[a])}else{var c=$(b.id+"stroke");if(c){var a=b.visProp.dash;c.setAttribute("dashstyle",this.dashArray[a])}}}};JXG.VMLRenderer.prototype.setObjectStrokeColor=function(d,a,b){var g,f;if(typeof a=="function"){g=a()}else{g=a}if(d.elementClass!=JXG.OBJECT_CLASS_POINT){if(d.type==JXG.OBJECT_TYPE_ANGLE){var e=d.rendNode2;e.setAttribute("stroked","true");e.setAttribute("strokecolor",g)}else{if(d.type==JXG.OBJECT_TYPE_TEXT){d.rendNode.style.color=g}else{var e=d.rendNode;e.setAttribute("stroked","true");e.setAttribute("strokecolor",g)}}}else{if(d.visProp.style>=3&&d.visProp.style<=9){var e=d.rendNode;e.setAttribute("stroked","true");e.setAttribute("strokecolor",g)}else{var e=d.rendNodeX1;e.setAttribute("stroked","true");e.setAttribute("strokecolor",g);var e=d.rendNodeX2;e.setAttribute("stroked","true");e.setAttribute("strokecolor",g)}}};JXG.VMLRenderer.prototype.setObjectFillColor=function(e,a,b){var f;var h,g;if(typeof b=="function"){g=b()}else{g=b}g=(g>0)?g:0;if(typeof a=="function"){h=a()}else{h=a}if(e.elementClass!=JXG.OBJECT_CLASS_POINT){if(e.type==JXG.OBJECT_TYPE_ARC){f=e.rendNodeFill;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}}else{if(e.type==JXG.OBJECT_TYPE_ANGLE){f=e.rendNode1;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}}else{f=e.rendNode;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}}}}else{if(e.visProp.style>=3&&e.visProp.style<=9){var f=e.rendNode;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}}else{var f=e.rendNodeX1;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}var f=e.rendNodeX2;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h)}}}if(e.type==JXG.OBJECT_TYPE_POLYGON||e.type==JXG.OBJECT_TYPE_CIRCLE||e.type==JXG.OBJECT_TYPE_ARC||e.type==JXG.OBJECT_TYPE_ANGLE||e.type==JXG.OBJECT_TYPE_CURVE){var d=$(e.id+"_fillnode");if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}};JXG.VMLRenderer.prototype.remove=function(a){a.removeNode(true)};JXG.VMLRenderer.prototype.suspendRedraw=function(){this.container.style.display="none"};JXG.VMLRenderer.prototype.unsuspendRedraw=function(){this.container.style.display=""};JXG.VMLRenderer.prototype.setStrokeProp=function(c,a){if(a.strokeColor=="none"){c.setAttribute("stroked","false")}else{c.setAttribute("stroked","true");var b=["strokeColor","strokeWidth"];var d=["strokecolor","strokeweight"];this.setAttributes(c,b,d,a)}};JXG.VMLRenderer.prototype.setFillProp=function(c,b){if(b.fillColor==null||b.fillColor=="none"){c.setAttribute("filled","false")}else{c.setAttribute("filled","true");c.setAttribute("fillcolor",b.fillColor)}var a=this.container.ownerDocument.createElement("v:fill");a.setAttribute("id",c.id+"_fillnode");a.setAttribute("opacity",(b.fillOpacity*100)+"%");c.appendChild(a)};JXG.VMLRenderer.prototype.setAttributes=function(d,c,g,b){var f;for(var a=0;a0)?f:0}else{f=b[e]}d.setAttribute(g[a],f)}}};JXG.VMLRenderer.prototype.setDashStyle=function(c,b){if(b.dash>=0){var a=this.container.ownerDocument.createElement("v:stroke");a.setAttribute("id",c.id+"stroke");a.setAttribute("dashstyle",this.dashArray[b.dash]);c.appendChild(a)}};JXG.VMLRenderer.prototype.createPrimitive=function(a,c){var b;if(a=="circle"||a=="ellipse"){b=this.container.ownerDocument.createElement("v:oval")}else{if(a=="polygon"){b=this.container.ownerDocument.createElement("v:shape")}else{if(a=="path"){b=this.container.ownerDocument.createElement("v:shape")}else{b=this.container.ownerDocument.createElement("v:"+a)}}}b.style.position="absolute";b.setAttribute("id",c);return b};JXG.VMLRenderer.prototype.makeArrow=function(c,b,d){var a=this.container.ownerDocument.createElement("v:stroke");a.setAttribute("endarrow","block");a.setAttribute("endarrowlength","long");c.appendChild(a)};JXG.VMLRenderer.prototype.makeArrows=function(b){if(b.visProp.firstArrow){var a=b.rendNodeStroke;if(a==null){a=this.container.ownerDocument.createElement("v:stroke");a.setAttribute("id",b.id+"stroke");a.setAttribute("startarrow","block");a.setAttribute("startarrowlength","long");b.rendNode.appendChild(a);b.rendNodeStroke=a}}else{var a=b.rendNodeStroke;if(a!=null){a.setAttribute("startarrow","none")}}if(b.visProp.lastArrow){var a=b.rendNodeStroke;if(a==null){a=this.container.ownerDocument.createElement("v:stroke");b.rendNode.appendChild(a);b.rendNodeStroke=a}a.setAttribute("id",b.id+"stroke");a.setAttribute("endarrow","block");a.setAttribute("endarrowlength","long")}else{var a=b.rendNodeStroke;if(a!=null){a.setAttribute("endarrow","none")}}};JXG.VMLRenderer.prototype.updateLinePrimitive=function(e,b,a,d,c){e.setAttribute("from",[b,a].join(","));e.setAttribute("to",[d,c].join(","))};JXG.VMLRenderer.prototype.updateCirclePrimitive=function(c,a,d,b){c.style.left=(a-b)+"px";c.style.top=(d-b)+"px";c.style.width=(b*2)+"px";c.style.height=(b*2)+"px"};JXG.VMLRenderer.prototype.updateRectPrimitive=function(d,a,e,b,c){d.style.left=(a)+"px";d.style.top=(e)+"px";d.style.width=(b)+"px";d.style.height=(c)+"px"};JXG.VMLRenderer.prototype.updateEllipsePrimitive=function(b,a,e,d,c){b.style.left=(a-d)+"px";b.style.top=(e-c)+"px";b.style.width=(d*2)+"px";b.style.height=(c*2)+"px"};JXG.VMLRenderer.prototype.updatePathPrimitive2=function(b,d){var c=b.rendNode;var a=b.board.canvasWidth;var e=b.board.canvasHeight;c.style.width=a;c.style.height=e;c.setAttribute("coordsize",a+","+e);c.setAttribute("path",d.join(""))};JXG.VMLRenderer.prototype.updatePathStringPrimitive=function(e){if(e.numberPoints<=0){return""}var j=" m ";var g=[];var d=2*e.board.canvasHeight;var b=2*e.board.canvasWidth;var a=Math.min(e.numberPoints,8192);for(var c=0;cb||Math.abs(f[2])>d){j=" m "}else{g.push(j+f[1]+", "+f[2]);j=" l "}}g.push(" e");return g};JXG.VMLRenderer.prototype.updatePathStringPrimitiveOld=function(d){var c=2*d.board.canvasHeight;var a=2*d.board.canvasWidth;var g="";var e;var b=0;var f=d.numberPoints%8;if(f>0){do{e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}}while((--f)>0)}f=parseInt(d.numberPoints/8);if(f>0){do{e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}e=d.points[b++].scrCoords;if(!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[1])<=a&&Math.abs(e[2])<=c){g+=e[1]+","+e[2]+" "}}while((--f)>0)}return g};JXG.VMLRenderer.prototype.updatePathStringPrimitiveOld2=function(c){var e="";var b="";for(var a=0;ab){b=l[1]}if(l[2]a){a=l[2]}}var k=Math.round(b-f);var j=Math.round(a-d);e.style.width=k;e.style.height=j;e.setAttribute("coordsize",k+","+j);var h=[];h.push("m ");var l=c.vertices[0].coords.scrCoords;h.push(l[1]+","+l[2]);h.push(" l ");for(var g=1;g