/* Copyright 2008,2009 Matthias Ehmann, Michael Gerhaeuser, Carsten Miller, Bianca Valentin, Alfred Wassermann, Peter Wilfahrt This file is part of JSXGraph. JSXGraph is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. JSXGraph is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with JSXGraph. If not, see . */ var JXG={};JXG.countDrawings=0;JXG.countTime=0;JXG.require=function(a){};JXG.rendererFiles=[];JXG.rendererFiles.svg="SVGRenderer";JXG.rendererFiles.vml="VMLRenderer";JXG.baseFiles=null;JXG.requirePath="";for(var i=0;i0){return this[0].length}else{return 0}};JXG.Math.Matrix.prototype.exchangeRows=function(d,b){var a=this[d];this[d]=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.memoizer=function(b){if(b.memo){return b.memo}var a={},d=Array.prototype.join;return(b.memo=function(){var e=d.call(arguments);return(e in a)?a[e]:a[e]=b.apply(this,arguments)})};JXG.Math.factorial=JXG.memoizer(function(a){if(a<0){return NaN}if(a==0||a==1){return 1}return a*arguments.callee(a-1)});JXG.Math.binomial=JXG.memoizer(function(f,d){if(d>f||d<0){return 0}if(d==0||d==f){return 1}var a=1;for(var e=0;e=0;f--){for(e=g.n()-1;e>f;e--){a[f]-=g[f][e]*a[e]}a[f]/=g[f][f]}return a};JXG.Math.Numerics.Gauss=function(a,o){var u=1e-12,f,e,d,g,q,h;g=new JXG.Math.Vector();for(f=0;fe;f--){if(Math.abs(a[f][e])>JXG.Math.eps){if(Math.abs(a[e][e])0){throw"Error: INT_SIMPSONS requires Algebra.number_of_nodes dividable by 2."}d=this.number_of_nodes/2;b=h(e[0])+h(e[1]);j=e[0];for(g=0;g0){throw"Error in INT_MILNE: Algebra.number_of_nodes must be a multiple of 4"}d=this.number_of_nodes*0.25;b=7*(h(e[0])+h(e[1]));j=e[0];for(g=0;g=0;f--){q[f]=(h[f]-(u[f+1]*q[f+1]))/g[f]}for(f=a-3;f>=0;f--){q[f+1]=q[f]}q[0]=0;q[a-1]=0;return q};JXG.Math.Numerics.splineEval=function(f,B,z,D){var g=B.length,k=1,h=false,C,q,o,A,w,v,u,e;if(g!=z.length){throw"Error in JXG.Math.Numerics.splineEval: Defining vector dimensions do not match."}if(JXG.IsArray(f)){k=f.length;h=true}else{f=[f]}C=new Array();for(q=0;qB[g-1])){return"NaN"}o;for(o=1;od){k=this.D(g,j)(a);if(Math.abs(k)>d){a-=e/k}else{a+=(Math.random()*0.2-1)}e=g.apply(j,[a]);b++}return a};JXG.Math.Numerics.root=function(b,a,d){return this.newton(b,a,d)};JXG.Math.Numerics.cosh=function(a){return(Math.exp(a)+Math.exp(-a))*0.5};JXG.Math.Numerics.sinh=function(a){return(Math.exp(a)-Math.exp(-a))*0.5};JXG.Math.Numerics.riemann=function(q,g,u,d,h){var e,B,o,A,k,z,v,b,a,w;e=[];B=[];k=0;z=d;g=Math.floor(g);e[k]=z;B[k]=0;if(g>0){A=(h-d)/g;a=A*0.01;for(o=0;ov){v=w}}}}}}k++;e[k]=z;B[k]=v;k++;z+=A;if(u=="trapezodial"){v=q(z)}e[k]=z;B[k]=v;k++;e[k]=z;B[k]=0}}return[e,B]};JXG.Math.Numerics.riemannsum=function(j,e,o,d,g){var k,h,w,v,q,b,a,u;k=0;v=d;e=Math.floor(e);if(e>0){w=(g-d)/e;a=w*0.01;for(h=0;hq){q=u}}}}}}}k+=w*q;v+=w}}return k};JXG.Math.Numerics.Butcher=function(){this.s=0;this.A=[];this.b=[];this.c=[]};JXG.Math.Numerics.predefinedButcher={};JXG.Math.Numerics.predefinedButcher.RK4={s:4,A:[[0,0,0,0],[0.5,0,0,0],[0,0.5,0,0],[0,0,1,0]],b:[1/6,1/3,1/3,1/6],c:[0,0.5,0.5,1]};JXG.Math.Numerics.predefinedButcher.Heun={s:2,A:[[0,0],[1,0]],b:[0.5,0.5],c:[0,1]};JXG.Math.Numerics.predefinedButcher.Euler={s:1,A:[[0]],b:[1],c:[0]};JXG.Math.Numerics.rungeKutta=function(d,J,q,g,H){var u=[],o=[],G=(q[1]-q[0])/g,w=q[0],K,F,E,C,B,D=J.length,z=d.s,b=1000,a=g/b,v=[],A=0;for(K=0;K0){return this.sum(a)/a.length}else{return 0}};JXG.MathStatistics.prototype.median=function(b){if(b.length>0){var d=b.clone();d.sort(function(f,e){return f-e});var a=d.length;if(a%2==1){return d[parseInt(a*0.5)]}else{return(d[a*0.5-1]+d[a*0.5])*0.5}}else{return 0}};JXG.MathStatistics.prototype.variance=function(d){if(d.length>1){var b=this.mean(d);var f=0;for(var e=0,a=d.length;e0){var d=this.multiply(a,b);return this.mean(d)}else{return 0}};JXG.MathStatistics.prototype.max=function(b){if(b.length==0){return NaN}var e=b[0];for(var d=1,a=b.length;de)?(b[d]):e}return e};JXG.MathStatistics.prototype.min=function(b){if(b.length==0){return NaN}var e=b[0];for(var d=1,a=b.length;d0){a=g[o].generatePolynomial();for(var d=0;d0)?1:-1;if(Math.abs(g-a)>1e-7){k=Math.atan((f-u)/(g-a))+((e<0)?Math.PI:0)}else{k=((f-u>0)?0.5:-0.5)*Math.PI}j=250;h=256;d=[[1,0,0],[j*(1-Math.cos(k))+h*Math.sin(k),Math.cos(k),-Math.sin(k)],[h*(1-Math.cos(k))-j*Math.sin(k),Math.sin(k),Math.cos(k)]];b.imageTransformMatrix=d}this.makeArrows(b);if(this.enhancedRendering){if(!b.visProp.draft){this.setObjectStrokeWidth(b,b.visProp.strokeWidth);this.setObjectStrokeColor(b,b.visProp.strokeColor,b.visProp.strokeOpacity)}else{this.setDraft(b)}}};JXG.AbstractRenderer.prototype.drawCurve=function(a){var b=this.createPrimitive("path",a.id);this.appendChildPrimitive(b,"curves");a.rendNode=b;this.setObjectStrokeWidth(a,a.visProp.strokeWidth);this.setObjectStrokeColor(a,a.visProp.strokeColor,a.visProp.strokeOpacity);this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillOpacity);this.setDashStyle(a.rendNode,a.visProp);this.updateCurve(a)};JXG.AbstractRenderer.prototype.updateCurve=function(a){if(this.enhancedRendering){if(!a.visProp.draft){this.setObjectStrokeWidth(a,a.visProp.strokeWidth);this.setObjectStrokeColor(a,a.visProp.strokeColor,a.visProp.strokeOpacity);this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillOpacity)}else{this.setDraft(a)}}this.updatePathPrimitive(a.rendNode,this.updatePathStringPrimitive(a),a.board)};JXG.AbstractRenderer.prototype.calcStraight=function(f,w,u){var d,a,o,h,x,e,v,q,A,k,g,z,y;v=f.board.algebra;x=f.visProp.straightFirst;e=f.visProp.straightLast;if(!x&&!e){return}if(Math.abs(w.scrCoords[0])v.eps){for(g=2;g>0;g--){A[k][g]/=A[k][0]}A[k][0]=1}}d=false;a=false;if(!x&&w.scrCoords[1]>=0&&w.scrCoords[1]<=f.board.canvasWidth&&w.scrCoords[2]>=0&&w.scrCoords[2]<=f.board.canvasHeight){d=true}if(!e&&u.scrCoords[1]>=0&&u.scrCoords[1]<=f.board.canvasWidth&&u.scrCoords[2]>=0&&u.scrCoords[2]<=f.board.canvasHeight){a=true}if(Math.abs(A[1][0])f.board.canvasHeight){h=A[2]}else{h=A[3]}}else{if(A[1][2]>f.board.canvasHeight){o=A[2];if(A[3][2]<0){h=A[0]}else{h=A[3]}}else{o=A[1];if(A[3][2]<0){h=A[0]}else{if(A[3][2]>f.board.canvasHeight){h=A[2]}else{h=A[3]}}}}}}o=new JXG.Coords(JXG.COORDS_BY_SCREEN,o.slice(1),f.board);h=new JXG.Coords(JXG.COORDS_BY_SCREEN,h.slice(1),f.board);if(!d){if(!a){if(this.isSameDirection(w,u,o)){if(!this.isSameDirection(w,u,h)){y=o;z=h}else{if(f.board.algebra.affineDistance(u.usrCoords,o.usrCoords)=0&&g>=0){if((a>=0&&f>=0)||(a<=0&&f<=0)){return true}}else{if(b<=0&&g<=0){if((a>=0&&f>=0)||(a<=0&&f<=0)){return true}}}return false};JXG.AbstractRenderer.prototype.drawCircle=function(a){var b=this.createPrimitive("ellipse",a.id);a.rendNode=b;this.setDashStyle(b,a.visProp);this.appendChildPrimitive(b,"circles");this.setDraft(a);this.updateCircle(a)};JXG.AbstractRenderer.prototype.updateCircle=function(b){if(this.enhancedRendering){if(!b.visProp.draft){this.setObjectStrokeWidth(b,b.visProp.strokeWidth);this.setObjectStrokeColor(b,b.visProp.strokeColor,b.visProp.strokeOpacity);this.setObjectFillColor(b,b.visProp.fillColor,b.visProp.fillOpacity)}else{this.setDraft(b)}}var a=b.getRadius();if(a>0&&!isNaN(b.midpoint.coords.scrCoords[1]+b.midpoint.coords.scrCoords[2])){this.updateEllipsePrimitive(b.rendNode,b.midpoint.coords.scrCoords[1],b.midpoint.coords.scrCoords[2],(a*b.board.unitX*b.board.zoomX),(a*b.board.unitY*b.board.zoomY))}};JXG.AbstractRenderer.prototype.drawPolygon=function(a){var b=this.createPrimitive("polygon",a.id);a.visProp.fillOpacity=0.3;this.appendChildPrimitive(b,"polygone");a.rendNode=b;this.setDraft(a);this.updatePolygon(a)};JXG.AbstractRenderer.prototype.updatePolygon=function(a){if(this.enhancedRendering){if(!a.visProp.draft){this.setObjectStrokeWidth(a,a.visProp.strokeWidth);this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillOpacity)}else{this.setDraft(a)}}this.updatePolygonePrimitive(a.rendNode,a)};JXG.AbstractRenderer.prototype.drawArrow=function(a){var b=this.createPrimitive("line",a.id);this.setObjectStrokeWidth(a,a.visProp.strokeWidth);this.setObjectStrokeColor(a,a.visProp.strokeColor,a.visProp.strokeOpacity);this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillOpacity);this.setDashStyle(b,a.visProp);this.makeArrow(b,a);this.appendChildPrimitive(b,"lines");a.rendNode=b;this.setDraft(a);this.updateArrow(a)};JXG.AbstractRenderer.prototype.updateArrow=function(a){if(this.enhancedRendering){if(!a.visProp.draft){this.setObjectStrokeWidth(a,a.visProp.strokeWidth);this.setObjectStrokeColor(a,a.visProp.strokeColor,a.visProp.strokeOpacity);this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillOpacity)}else{this.setDraft(a)}}this.updateLinePrimitive(a.rendNode,a.point1.coords.scrCoords[1],a.point1.coords.scrCoords[2],a.point2.coords.scrCoords[1],a.point2.coords.scrCoords[2])};JXG.AbstractRenderer.prototype.updateTicks=function(d,b,a){};JXG.AbstractRenderer.prototype.removeTicks=function(a){var b=this.getElementById(a.id+"_ticks");this.remove(b)};JXG.AbstractRenderer.prototype.drawArc=function(a){};JXG.AbstractRenderer.prototype.updateArc=function(a){};JXG.AbstractRenderer.prototype.drawText=function(a){var b=this.container.ownerDocument.createElement("div");b.setAttribute("id",a.id);b.style.position="absolute";b.style.fontSize=a.board.fontSize+"px";b.style.color=a.visProp.strokeColor;b.className="JXGtext";b.style.zIndex="10";this.container.appendChild(b);a.rendNode=b;a.htmlStr="";this.updateText(a)};JXG.AbstractRenderer.prototype.updateText=function(a){if(a.visProp.visible==false){return}if(isNaN(a.coords.scrCoords[1]+a.coords.scrCoords[2])){return}this.updateTextStyle(a);a.rendNode.style.left=(a.coords.scrCoords[1])+"px";a.rendNode.style.top=(a.coords.scrCoords[2]-this.vOffsetText)+"px";a.updateText();if(a.htmlStr!=a.plaintextStr){a.rendNode.innerHTML=a.plaintextStr;a.htmlStr=a.plaintextStr}};JXG.AbstractRenderer.prototype.updateTextStyle=function(b){if(b.visProp.fontSize){if(typeof b.visProp.fontSize=="function"){var a=b.visProp.fontSize();b.rendNode.style.fontSize=(a>0?a:0)}else{b.rendNode.style.fontSize=(b.visProp.fontSize)}}};JXG.AbstractRenderer.prototype.drawAngle=function(a){};JXG.AbstractRenderer.prototype.updateAngle=function(a){};JXG.AbstractRenderer.prototype.drawImage=function(a){};JXG.AbstractRenderer.prototype.updateImage=function(a){this.updateRectPrimitive(a.rendNode,a.coords.scrCoords[1],a.coords.scrCoords[2]-a.size[1],a.size[0],a.size[1]);if(a.parent!=null){this.transformImageParent(a,a.parent.imageTransformMatrix)}else{this.transformImageParent(a)}this.transformImage(a,a.transformations)};JXG.AbstractRenderer.prototype.drawGrid=function(w){var q=w.gridX,o=w.gridY,e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],w),v=new JXG.Coords(JXG.COORDS_BY_SCREEN,[w.canvasWidth,w.canvasHeight],w),g=Math.ceil(e.usrCoords[1]),f=0,h,B,d,b,A,z,x,u,y,a;w.hasGrid=true;for(h=0;h<=q+1;h++){if(g-h/qv.usrCoords[1]){B=h-1;break}}g=Math.ceil(v.usrCoords[2]);b=0;for(h=0;h<=o+1;h++){if(g-h/oe.usrCoords[2]){d=h-1;break}}A=Math.round((1/q)*w.zoomX*w.unitX);z=Math.round((1/o)*w.zoomY*w.unitY);x=new JXG.Coords(JXG.COORDS_BY_USER,[Math.ceil(e.usrCoords[1])-f/q,Math.floor(e.usrCoords[2])+d/o],w);u=new JXG.Coords(JXG.COORDS_BY_USER,[Math.floor(v.usrCoords[1])+B/q,Math.ceil(v.usrCoords[2])-b/o],w);y=this.drawVerticalGrid(x,u,A,w);if(!w.snapToGrid){a=new Object();a.rendNode=y;a.elementClass=JXG.OBJECT_CLASS_LINE;a.id="gridx";this.setObjectStrokeColor(a,w.gridColor,w.gridOpacity)}else{a=new Object();a.rendNode=y;a.elementClass=JXG.OBJECT_CLASS_LINE;a.id="gridx";this.setObjectStrokeColor(a,"#FF8080",0.5)}this.setPropertyPrimitive(y,"stroke-width","0.4px");if(w.gridDash){this.setPropertyPrimitive(y,"stroke-dasharray","5, 5")}this.appendChildPrimitive(y,"grid");y=this.drawHorizontalGrid(x,u,z,w);if(!w.snapToGrid){a=new Object();a.rendNode=y;a.elementClass=JXG.OBJECT_CLASS_LINE;a.id="gridy";this.setObjectStrokeColor(a,w.gridColor,w.gridOpacity)}else{a=new Object();a.rendNode=y;a.elementClass=JXG.OBJECT_CLASS_LINE;a.id="gridy";this.setObjectStrokeColor(a,"#FF8080",0.5)}this.setPropertyPrimitive(y,"stroke-width","0.4px");if(w.gridDash){this.setPropertyPrimitive(y,"stroke-dasharray","5, 5")}this.appendChildPrimitive(y,"grid")};JXG.AbstractRenderer.prototype.removeGrid=function(a){};JXG.AbstractRenderer.prototype.hide=function(a){};JXG.AbstractRenderer.prototype.show=function(a){};JXG.AbstractRenderer.prototype.setObjectStrokeWidth=function(b,a){};JXG.AbstractRenderer.prototype.setObjectStrokeColor=function(d,a,b){};JXG.AbstractRenderer.prototype.setObjectDash=function(a){};JXG.AbstractRenderer.prototype.setObjectFillColor=function(d,a,b){};JXG.AbstractRenderer.prototype.setDraft=function(b){if(!b.visProp.draft){return}var a=b.board.options.elements.draft.color,d=b.board.options.elements.draft.opacity;if(b.type==JXG.OBJECTT_TYPE_POLYGON){this.setObjectFillColor(b,a,d)}else{if(b.elementClass==JXG.OBJECT_CLASS_POINT){this.setObjectFillColor(b,a,d)}else{this.setObjectFillColor(b,"none",0)}this.setObjectStrokeColor(b,a,d);this.setObjectStrokeWidth(b,b.board.options.elements.draft.strokeWidth)}};JXG.AbstractRenderer.prototype.removeDraft=function(a){if(a.type==JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillColorOpacity)}else{if(a.type==JXG.OBJECT_CLASS_POINT){this.setObjectFillColor(a,a.visProp.fillColor,a.visProp.fillColorOpacity)}this.setObjectStrokeColor(a,a.visProp.strokeColor,a.visProp.strokeColorOpacity);this.setObjectStrokeWidth(a,a.visProp.strokeWidth)}};JXG.AbstractRenderer.prototype.highlight=function(b){var a;if(b.visProp.draft==false){if(b.type==JXG.OBJECT_CLASS_POINT){this.setObjectStrokeColor(b,b.visProp.highlightStrokeColor,b.visProp.highlightStrokeOpacity);this.setObjectFillColor(b,b.visProp.highlightStrokeColor,b.visProp.highlightStrokeOpacity)}else{if(b.type==JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(b,b.visProp.highlightFillColor,b.visProp.highlightFillOpacity);for(a=0;a0){ac.radiuspoint=j.getElementsByTagName("data")[0].getElementsByTagName("radius")[0].firstChild.data;ac.radius=null;ac.method="twoPoints"}else{if(j.getElementsByTagName("data")[0].getElementsByTagName("radiusvalue").length>0){ac.radiuspoint=null;ac.radius=j.getElementsByTagName("data")[0].getElementsByTagName("radiusvalue")[0].firstChild.data;ac.radiusnum=j.getElementsByTagName("data")[0].getElementsByTagName("radiusnum")[0].firstChild.data;ac.method="pointRadius"}}if(ac.method=="twoPoints"){if(o.objects[ac.radiuspoint].type==JXG.OBJECT_TYPE_LINE){ac.method="pointLine";ac.radiuspoint=JXG.GeonextReader.changeOriginIds(o,ac.radiuspoint)}else{if(o.objects[ac.radiuspoint].type==JXG.OBJECT_TYPE_CIRCLE){ac.method="pointCircle"}}}if(ac.method=="pointRadius"){ac.midpoint=JXG.GeonextReader.changeOriginIds(o,ac.midpoint);ag=new JXG.Circle(o,ac.method,ac.midpoint,ac.radius,ac.id,ac.name)}else{ac.midpoint=JXG.GeonextReader.changeOriginIds(o,ac.midpoint);ag=new JXG.Circle(o,ac.method,ac.midpoint,ac.radiuspoint,ac.id,ac.name)}ag.setProperty("strokeColor:"+ac.colorStroke,"strokeWidth:"+ac.strokewidth,"fillColor:"+ac.colorFill,"highlightStrokeColor:"+ac.highlightStrokeColor,"highlightFillColor:"+ac.colorFill,"visible:"+ac.visible,"labelColor:"+ac.colorLabel,"dash:"+ac.dash,"draft:"+ac.draft);ag.traced=(ac.trace=="false")?false:true;JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"OK");break;case"slider":ac=JXG.GeonextReader.colorProperties(ac,j);ac=JXG.GeonextReader.boardProperties(ac,j);ac=JXG.GeonextReader.visualProperties(ac,j);ac=JXG.GeonextReader.firstLevelProperties(ac,j);ac=JXG.GeonextReader.readNodes(ac,j,"data");ac.fixed=j.getElementsByTagName("fix")[0].firstChild.data;ac=JXG.GeonextReader.readNodes(ac,j,"animate","animate");JXG.GeonextReader.parseImage(o,j.getElementsByTagName("image")[0],"points");try{V=new JXG.Point(o,[1*ac.x,1*ac.y],ac.id,ac.name,true);ac.parent=JXG.GeonextReader.changeOriginIds(o,ac.parent);V.makeGlider(ac.parent);V.setProperty("strokeColor:"+ac.colorStroke,"strokeWidth:"+ac.strokewidth,"fillColor:"+ac.colorStroke,"highlightStrokeColor:"+ac.highlightStrokeColor,"highlightFillColor:"+ac.highlightStrokeColor,"visible:"+ac.visible,"fixed:"+ac.fixed,"labelColor:"+ac.colorLabel,"draft:"+ac.draft);V.onPolygon=o.algebra.str2Bool(ac.onpolygon);V.traced=(ac.trace=="false")?false:true;V.setStyle(1*ac.style);JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"OK")}catch(ae){}break;case"cas":ac=JXG.GeonextReader.boardProperties(ac,j);ac=JXG.GeonextReader.colorProperties(ac,j);ac=JXG.GeonextReader.visualProperties(ac,j);ac=JXG.GeonextReader.firstLevelProperties(ac,j);ac.fixed=j.getElementsByTagName("fix")[0].firstChild.data;ac=JXG.GeonextReader.readNodes(ac,j,"data");JXG.GeonextReader.parseImage(o,j.getElementsByTagName("image")[0],"points");V=new JXG.Point(o,[1*ac.xval,1*ac.yval],ac.id,ac.name,true);V.addConstraint([ac.x,ac.y]);V.setProperty("strokeColor:"+ac.colorStroke,"strokeWidth:"+ac.strokewidth,"fillColor:"+ac.colorStroke,"highlightStrokeColor:"+ac.highlightStrokeColor,"highlightFillColor:"+ac.highlightStrokeColor,"visible:"+ac.visible,"fixed:"+ac.fixed,"labelColor:"+ac.colorLabel,"draft:"+ac.draft);V.traced=(ac.trace=="false")?false:true;V.setStyle(1*ac.style);JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"OK");break;case"intersection":ac=JXG.GeonextReader.readNodes(ac,j,"data");g=j.getElementsByTagName("first")[1];ac.outputFirstId=g.getElementsByTagName("id")[0].firstChild.data;ac.outputFirstName=g.getElementsByTagName("name")[0].firstChild.data;ac.outputFirstVisible=g.getElementsByTagName("visible")[0].firstChild.data;ac.outputFirstTrace=g.getElementsByTagName("trace")[0].firstChild.data;ac.outputFirstFixed=g.getElementsByTagName("fix")[0].firstChild.data;ac.outputFirstStyle=g.getElementsByTagName("style")[0].firstChild.data;ac.outputFirstStrokewidth=g.getElementsByTagName("strokewidth")[0].firstChild.data;g=j.getElementsByTagName("first")[1].getElementsByTagName("color")[0];ac.outputFirstColorStroke=g.getElementsByTagName("stroke")[0].firstChild.data;ac.outputFirstHighlightStrokeColor=g.getElementsByTagName("lighting")[0].firstChild.data;ac.outputFirstColorFill=g.getElementsByTagName("fill")[0].firstChild.data;ac.outputFirstColorLabel=g.getElementsByTagName("label")[0].firstChild.data;ac.outputFirstColorDraft=g.getElementsByTagName("draft")[0].firstChild.data;ac.first=JXG.GeonextReader.changeOriginIds(o,ac.first);ac.last=JXG.GeonextReader.changeOriginIds(o,ac.last);if((((o.objects[ac.first]).type==(o.objects[ac.last]).type)&&((o.objects[ac.first]).type==JXG.OBJECT_TYPE_LINE||(o.objects[ac.first]).type==JXG.OBJECT_TYPE_ARROW))||(((o.objects[ac.first]).type==JXG.OBJECT_TYPE_LINE)&&((o.objects[ac.last]).type==JXG.OBJECT_TYPE_ARROW))||(((o.objects[ac.last]).type==JXG.OBJECT_TYPE_LINE)&&((o.objects[ac.first]).type==JXG.OBJECT_TYPE_ARROW))){inter=new JXG.Intersection(o,ac.id,o.objects[ac.first],o.objects[ac.last],ac.outputFirstId,"",ac.outputFirstName,"");if(ac.outputFirstVisible=="false"){inter.hideElement()}inter.p.setProperty("strokeColor:"+ac.outputFirstColorStroke,"strokeWidth:"+ac.outputFirstStrokewidth,"fillColor:"+ac.outputFirstColorStroke,"highlightStrokeColor:"+ac.outputFirstHighlightStrokeColor,"highlightFillColor:"+ac.outputFirstHighlightStrokeColor,"visible:"+ac.outputFirstVisible,"labelColor:"+ac.outputFirstColorLabel,"draft:"+ac.draft);inter.p.setStyle(1*ac.outputFirstStyle);inter.p.traced=(ac.outputFirstTrace=="false")?false:true}else{g=j.getElementsByTagName("last")[1];ac.outputLastId=g.getElementsByTagName("id")[0].firstChild.data;ac.outputLastName=g.getElementsByTagName("name")[0].firstChild.data;ac.outputLastVisible=g.getElementsByTagName("visible")[0].firstChild.data;ac.outputLastTrace=g.getElementsByTagName("trace")[0].firstChild.data;ac.outputLastFixed=g.getElementsByTagName("fix")[0].firstChild.data;ac.outputLastStyle=g.getElementsByTagName("style")[0].firstChild.data;ac.outputLastStrokewidth=g.getElementsByTagName("strokewidth")[0].firstChild.data;g=j.getElementsByTagName("last")[1].getElementsByTagName("color")[0];ac.outputLastColorStroke=g.getElementsByTagName("stroke")[0].firstChild.data;ac.outputLastHighlightStrokeColor=g.getElementsByTagName("lighting")[0].firstChild.data;ac.outputLastColorFill=g.getElementsByTagName("fill")[0].firstChild.data;ac.outputLastColorLabel=g.getElementsByTagName("label")[0].firstChild.data;ac.outputLastColorDraft=g.getElementsByTagName("draft")[0].firstChild.data;inter=new JXG.Intersection(o,ac.id,o.objects[ac.first],o.objects[ac.last],ac.outputFirstId,ac.outputLastId,ac.outputFirstName,ac.outputLastName);inter.p1.setProperty("strokeColor:"+ac.outputFirstColorStroke,"strokeWidth:"+ac.outputFirstStrokewidth,"fillColor:"+ac.outputFirstColorStroke,"highlightStrokeColor:"+ac.outputFirstHighlightStrokeColor,"highlightFillColor:"+ac.outputFirstHighlightStrokeColor,"visible:"+ac.outputFirstVisible,"labelColor:"+ac.outputFirstColorLabel,"draft:"+ac.draft);inter.p1.setStyle(1*ac.outputFirstStyle);inter.p1.traced=(ac.outputFirstTrace=="false")?false:true;inter.p2.setProperty("strokeColor:"+ac.outputLastColorStroke,"strokeWidth:"+ac.outputLastStrokewidth,"fillColor:"+ac.outputLastColorStroke,"highlightStrokeColor:"+ac.outputLastHighlightStrokeColor,"highlightFillColor:"+ac.outputLastHighlightStrokeColor,"visible:"+ac.outputLastVisible,"labelColor:"+ac.outputLastColorLabel,"draft:"+ac.draft);inter.p2.setStyle(1*ac.outputLastStyle);inter.p2.traced=(ac.outputLastTrace=="false")?false:true;if(ac.outputFirstVisible=="false"){if(ac.outputLastVisible=="false"){inter.hideElement()}else{inter.p1.hideElement()}}else{if(ac.outputLastVisible=="false"){inter.p2.hideElement()}}}JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"OK");break;case"composition":ac=JXG.GeonextReader.readNodes(ac,j,"data");ac=JXG.GeonextReader.firstLevelProperties(ac,j);switch(ac.type){case"210070":ac.typeName="ARROW_PARALLEL";break;case"210080":ac.typeName="BISECTOR";break;case"210090":ac.typeName="CIRCUMCIRCLE";break;case"210100":ac.typeName="CIRCUMCIRCLE_CENTER";break;case"210110":ac.typeName="MIDPOINT";break;case"210120":ac.typeName="MIRROR_LINE";break;case"210125":ac.typeName="MIRROR_POINT";break;case"210130":ac.typeName="NORMAL";break;case"210140":ac.typeName="PARALLEL";break;case"210150":ac.typeName="PARALLELOGRAM_POINT";break;case"210160":ac.typeName="PERPENDICULAR";break;case"210170":ac.typeName="PERPENDICULAR_POINT";break;case"210180":ac.typeName="ROTATION";break;case"210190":ac.typeName="SECTOR";break}ac.defEl=[];G=0;g=j.getElementsByTagName("data")[0].getElementsByTagName("input");for(aa=0;aa/g,"");try{if(j.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild){ac.parent=j.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild.data}}catch(ae){}ac.condition=j.getElementsByTagName("condition")[0].firstChild.data;ac.content=j.getElementsByTagName("content")[0].firstChild.data;ac.fix=j.getElementsByTagName("fix")[0].firstChild.data;ac.autodigits=j.getElementsByTagName("digits")[0].firstChild.data;ac.parent=JXG.GeonextReader.changeOriginIds(o,ac.parent);ag=new JXG.Text(o,ac.mpStr,ac.parent,[ac.x,ac.y],ac.id,ac.name,ac.autodigits,false);ag.setProperty("labelColor:"+ac.colorLabel,"visible:"+ac.visible);break;case"parametercurve":ac=JXG.GeonextReader.colorProperties(ac,j);ac=JXG.GeonextReader.firstLevelProperties(ac,j);ac.functionx=j.getElementsByTagName("functionx")[0].firstChild.data;ac.functiony=j.getElementsByTagName("functiony")[0].firstChild.data;ac.min=j.getElementsByTagName("min")[0].firstChild.data;ac.max=j.getElementsByTagName("max")[0].firstChild.data;ag=new JXG.Curve(o,["t",ac.functionx,ac.functiony,ac.min,ac.max],ac.id,ac.name);ag.setProperty("strokeColor:"+ac.colorStroke,"strokeWidth:"+ac.strokewidth,"fillColor:none","highlightStrokeColor:"+ac.highlightStrokeColor);JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"OK");break;case"tracecurve":ac.tracepoint=j.getElementsByTagName("tracepoint")[0].firstChild.data;ac.traceslider=j.getElementsByTagName("traceslider")[0].firstChild.data;JXG.GeonextReader.printDebugMessage("debug",ac,j.nodeName,"ERR");break;case"group":ac=JXG.GeonextReader.boardProperties(ac,j);ac=JXG.GeonextReader.colorProperties(ac,j);ac=JXG.GeonextReader.firstLevelProperties(ac,j);ac.members=[];for(aa=0;aa")<0){a=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(b))).unzip();if(a==""){return b}else{return a}}else{return b}};this.prepareString=function(a){if(a.indexOf("GEONEXT")<0){a=(JXG.GeonextReader.decodeString(a))[0][0]}a=JXG.GeonextReader.fixXML(a);return a};this.fixXML=function(f){var a=["active","angle","animate","animated","arc","area","arrow","author","autodigits","axis","back","background","board","border","bottom","buttonsize","cas","circle","color","comment","composition","condition","conditions","content","continuous","control","coord","coordinates","cross","cs","dash","data","description","digits","direction","draft","editable","elements","event","file","fill","first","firstarrow","fix","fontsize","free","full","function","functionx","functiony","GEONEXT","graph","grid","group","height","id","image","info","information","input","intersection","item","jsf","label","last","lastarrow","left","lefttoolbar","lighting","line","loop","max","maximized","member","middle","midpoint","min","modifier","modus","mp","mpx","multi","name","onpolygon","order","origin","output","overline","parametercurve","parent","point","pointsnap","polygon","position","radius","radiusnum","radiusvalue","right","section","selectedlefttoolbar","showconstruction","showcoord","showinfo","showunit","showx","showy","size","slider","snap","speed","src","start","stop","straight","stroke","strokewidth","style","term","text","top","trace","tracecurve","type","unit","value","VERSION","vertex","viewport","visible","width","wot","x","xooy","xval","y","yval","zoom"],d=a.join("|"),b="<(/?("+d+"))>",e=new RegExp(b,"g");f=JXG.escapeHTML(f);f=f.replace(e,"<$1>");f=f.replace(/(.*)(.*<\/content>)/g,"$1<arc>$2");f=f.replace(/(.*)(.*<\/mpx>)/g,"$1<arc>$2");f=f.replace(/(.*)(.*<\/mpx>)/g,"$1<arc>$2");return f}};JXG.GeogebraReader=new function(){this.ggbParse=function(q,z,u,k,h){JXG.GeogebraReader.debug("Zu aktualisierendes Element: "+u[k].name+"("+u[k].id+")");var e=JXG.GetReferenceFromParameter(q,u[k].id);var o=false;var f=new String();function y(A){f+=A+"\n"}function b(E){var D=0;var B=-1;var C=0;var G=0;var F=E.offset+1;do{F--;D=0;B=-2;G=F;if(E.src.length<=G){return 17}do{switch(D){case 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b};this.visualProperties=function(b,a){(b.getElementsByTagName("show")[0].attributes.object)?a.visible=b.getElementsByTagName("show")[0].attributes.object.value:false;(b.getElementsByTagName("show")[0].attributes.label)?a.visibleLabel=b.getElementsByTagName("show")[0].attributes.label.value:false;(b.getElementsByTagName("pointSize")[0])?a.style=b.getElementsByTagName("pointSize")[0].attributes.val.value:false;(b.getElementsByTagName("labelOffset")[0])?a.labelX=1*b.getElementsByTagName("labelOffset")[0].attributes.x.value:false;(b.getElementsByTagName("labelOffset")[0])?a.labelY=1*b.getElementsByTagName("labelOffset")[0].attributes.y.value:false;(b.getElementsByTagName("trace")[0])?a.trace=b.getElementsByTagName("trace")[0].attributes.val.value:false;(b.getElementsByTagName("fix")[0])?a.fixed=b.getElementsByTagName("fix")[0].attributes.val.value:false;return a};this.getElement=function(a,d){for(var f=0;fKonstruiere 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\n";return p}catch(C){$("debug").innerHTML+="* Err: Point "+q.name+"
\n";return false}break;case"segment":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Segment: ("+q.name+") First: "+h[0].name+", Last: "+h[1].name+"
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\n";return false}break;case"line":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);for(var g in q){$("debug").innerHTML+=g+":"+q[g]+" "}$("debug").innerHTML+="
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\n";l=d.createElement(a,h,q);return l}catch(C){$("debug").innerHTML+="* Err: Line "+q.label+"
\n";return false}break;case"orthogonalline":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Orthogonalline: First: "+h[0].id+", Last: "+h[1].id+"
\n";l=d.createElement("normal",[h[0],h[1]],q);return l}catch(C){$("debug").innerHTML+="* Err: Orthogonalline "+q.label+"
\n";return false}break;case"polygon":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Polygon: First: "+h[0].name+", Second: "+h[1].name+", Third: "+h[2].name+"
\n";var b=[];for(var v=1;v\n";return false}break;case"intersect":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Intersection: First: "+h[0].name+", Second: "+h[1].name+"
\n";l=d.createElement("intersection",[h[0],h[1],0],q);return l}catch(C){$("debug").innerHTML+="* Err: Intersection "+q.name+"
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\n";return false}break;case"rotate":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Rotate: First: "+h[0].name+", Second: "+h[1].name+"
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\n";q.straightFirst=true;q.straightLast=false;p=d.createElement("line",[h[1],h[0]],q);return p}catch(C){$("debug").innerHTML+="* Err: Strahl "+q.name+"
\n";return false}break;case"tangent":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Tangente: First: "+h[0].name+"
\n";p=d.createElement("tangent",h[1],q);return p}catch(C){$("debug").innerHTML+="* Err: Tangente "+q.name+"
\n";return false}break;case"circumcirclearc":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* CircumcircleArc: First: "+h[0].name+"
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\n";return false}break;case"angle":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{$("debug").innerHTML+="* Angle: First: "+h[0].name+"
\n";p=d.createElement("angle",h,q);return p}catch(C){$("debug").innerHTML+="* Err: Angle "+q.name+"
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\n";return false}break;case"numeric":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);q=JXG.GeogebraReader.visualProperties(element,q);if(element.getElementsByTagName("slider").length==1){var o=parseFloat(element.getElementsByTagName("slider")[0].attributes.x.value);var k=parseFloat(element.getElementsByTagName("slider")[0].attributes.y.value);var E=new JXG.Coords(JXG.COORDS_BY_SCREEN,[o,k],d);o=E.usrCoords[1];k=E.usrCoords[2];if(element.getElementsByTagName("slider")[0].attributes.horizontal.value=="true"){var w=parseFloat(element.getElementsByTagName("slider")[0].attributes.width.value)/(d.unitX*d.zoomX);var B=o+w;var z=k}else{var w=parseFloat(element.getElementsByTagName("slider")[0].attributes.width.value)/(d.unitX*d.zoomX);var B=o;var z=k+w}var F=parseFloat(element.getElementsByTagName("value")[0].attributes.val.value);var A=parseFloat(element.getElementsByTagName("slider")[0].attributes.min.value);var D=parseFloat(element.getElementsByTagName("slider")[0].attributes.max.value);(element.getElementsByTagName("animation")[0])?q.snapWidth=parseFloat(element.getElementsByTagName("animation")[0].attributes.step.value):false;try{$("debug").innerHTML+="* Numeric: First: "+q.name+"
\n";n=d.createElement("slider",[[o,k],[B,z],[A,F,D]],q);return n}catch(C){$("debug").innerHTML+="* Err: Numeric "+q.name+"
\n";return false}}break;case"midpoint":q=JXG.GeogebraReader.boardProperties(y,element,q);q=JXG.GeogebraReader.colorProperties(element,q);y=JXG.GeogebraReader.coordinates(y,element);q=JXG.GeogebraReader.visualProperties(element,q);try{p=d.createElement("midpoint",h,q);$("debug").innerHTML+="* Midpoint ("+p.id+"): "+q.name+"("+y.x+", "+y.y+")
\n";return p}catch(C){$("debug").innerHTML+="* Err: Midpoint "+q.name+"
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\n";return p}catch(C){$("debug").innerHTML+="* Err: Center "+q.name+"
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k.axis!="undefined")&&k.axis){v.createElement("axis",[[0,0],[1,0]],{});v.createElement("axis",[[0,0],[0,1]],{})}if((typeof k.grid!="undefined")&&k.grid){v.renderer.drawGrid(v)}if(typeof k.shownavigation!="undefined"){k.showNavigation=k.shownavigation}var u=((typeof k.showNavigation)=="undefined"?v.options.showNavigation:k.showNavigation);if(u){v.renderer.drawZoomBar(v)}return v};this.loadBoardFromFile=function(o,h,u){var q;if(this.rendererType=="svg"){q=new JXG.SVGRenderer(document.getElementById(o))}else{q=new JXG.VMLRenderer(document.getElementById(o))}var k=JXG.getDimensions(o);var j=new JXG.Board(o,q,"",[150,150],1,1,50,50,k.width,k.height);j.initInfobox();j.beforeLoad();JXG.FileReader.parseFileContent(h,j,u);if(j.options.showNavigation){j.renderer.drawZoomBar(j)}this.boards[j.id]=j;return j};this.loadBoardFromString=function(o,h,u){var q;if(this.rendererType=="svg"){q=new JXG.SVGRenderer(document.getElementById(o))}else{q=new JXG.VMLRenderer(document.getElementById(o))}var k=JXG.getDimensions(o);var j=new JXG.Board(o,q,"",[150,150],1,1,50,50,k.width,k.height);j.initInfobox();j.beforeLoad();JXG.FileReader.parseString(h,j,u);if(j.options.showNavigation){j.renderer.drawZoomBar(j)}this.boards[j.id]=j;return j};this.freeBoard=function(j){if(typeof(j)=="string"){j=this.boards[j]}JXG.removeEvent(document,"mousedown",j.mouseDownListener,j);JXG.removeEvent(document,"mouseup",j.mouseUpListener,j);JXG.removeEvent(j.containerObj,"mousemove",j.mouseMoveListener,j);for(var h in j.objects){j.removeObject(j.objects[h])}j.containerObj.innerHTML="";for(var h in j.objects){delete (j.objects[h])}delete (j.renderer);delete (j.algebra);delete (this.boards[j.id])};this.registerElement=function(h,j){h=h.toLowerCase();this.elements[h]=j};this.unregisterElement=function(h){delete (this.elements[h])}};JXG.GetReferenceFromParameter=function(b,a){if(typeof(a)=="string"){if(b.objects[a]!=null){a=b.objects[a]}else{if(b.elementsByName[a]!=null){a=b.elementsByName[a]}}}return a};JXG.IsString=function(a){return typeof a=="string"};JXG.IsNumber=function(a){return typeof a=="number"};JXG.IsFunction=function(a){return typeof a=="function"};JXG.IsArray=function(a){return a!=null&&typeof a=="object"&&"splice" in a&&"join" in a};JXG.IsPoint=function(a){if(typeof a=="object"){return(a.elementClass==JXG.OBJECT_CLASS_POINT)}return false};JXG.createEvalFunction=function(b,g,h){var d=[];for(var a=0;a/g,">")};JXG.unescapeHTML=function(a){return a.replace(/<\/?[^>]+>/gi,"").replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">")};JXG.capitalize=function(a){return a.charAt(0).toUpperCase()+a.substring(1).toLowerCase()};JXG.isSilverlightInstalled=function(){var d=false;try{var a=null;var g=false;if(window.ActiveXObject){try{a=new ActiveXObject("AgControl.AgControl");d=true;a=null}catch(f){g=true}}else{g=true}if(g){var b=navigator.plugins["Silverlight Plug-In"];if(b){d=true}}}catch(f){d=false}return d};JXG.OBJECT_TYPE_ARC=1330921795;JXG.OBJECT_TYPE_ARROW=1330921815;JXG.OBJECT_TYPE_AXIS=1330921816;JXG.OBJECT_TYPE_TICKS=1330926680;JXG.OBJECT_TYPE_CIRCLE=1330922316;JXG.OBJECT_TYPE_CURVE=1330923344;JXG.OBJECT_TYPE_GLIDER=1330923340;JXG.OBJECT_TYPE_IMAGE=1330926157;JXG.OBJECT_TYPE_LINE=1330924622;JXG.OBJECT_TYPE_POINT=1330925652;JXG.OBJECT_TYPE_SLIDER=1330926404;JXG.OBJECT_TYPE_CAS=1330922320;JXG.OBJECT_TYPE_POLYGON=1330925657;JXG.OBJECT_TYPE_SECTOR=1330926403;JXG.OBJECT_TYPE_TEXT=1330926661;JXG.OBJECT_TYPE_ANGLE=1330921799;JXG.OBJECT_TYPE_INTERSECTION=1330926158;JXG.OBJECT_TYPE_TURTLE=5198933;JXG.OBJECT_CLASS_POINT=1;JXG.OBJECT_CLASS_LINE=2;JXG.OBJECT_CLASS_CIRCLE=3;JXG.OBJECT_CLASS_CURVE=4;JXG.OBJECT_CLASS_AREA=5;JXG.OBJECT_CLASS_OTHER=6;JXG.GeometryElement=function(){this.board=null;this.id="";this.needsUpdate=true;this.name="";this.visProp={};this.isReal=true;this.visProp.dash=0;this.childElements={};this.hasLabel=false;this.notExistingParents={};this.traced=false;this.traces={};this.numTraces=0;this.transformations=[];this.baseElement=null;this.descendants={};this.ancestors={};this.symbolic={};this.stdform=[1,0,0,0,1,1,0,0];this.afterFirstUpdate=false;this.needsRegularUpdate=true};JXG.GeometryElement.prototype.init=function(b,d,a){if(typeof(b)=="string"){b=JXG.JSXGraph.boards[b]}this.board=b;this.id=d;if((a!=null)&&(typeof a!="undefined")){a=a}else{a=this.board.generateName(this)}this.board.elementsByName[a]=this;this.name=a;this.visProp.strokeColor=this.board.options.elements.color.strokeColor;this.visProp.highlightStrokeColor=this.board.options.elements.color.highlightStrokeColor;this.visProp.fillColor=this.board.options.elements.color.fillColor;this.visProp.highlightFillColor=this.board.options.elements.color.highlightFillColor;this.visProp.strokeWidth=this.board.options.elements.strokeWidth;this.visProp.strokeOpacity=this.board.options.elements.color.strokeOpacity;this.visProp.highlightStrokeOpacity=this.board.options.elements.color.highlightStrokeOpacity;this.visProp.fillOpacity=this.board.options.elements.color.fillOpacity;this.visProp.highlightFillOpacity=this.board.options.elements.color.highlightFillOpacity;this.visProp.draft=this.board.options.elements.draft.draft;this.visProp.visible=true};JXG.GeometryElement.prototype.addChild=function(d){this.childElements[d.id]=d;this.addDescendants(d);d.ancestors[this.id]=this;for(var b in this.descendants){this.descendants[b].ancestors[this.id]=this;for(var a in this.ancestors){this.descendants[b].ancestors[this.ancestors[a].id]=this.ancestors[a]}}for(var b in this.ancestors){for(var a in this.descendants){this.ancestors[b].descendants[this.descendants[a].id]=this.descendants[a]}}};JXG.GeometryElement.prototype.addDescendants=function(b){this.descendants[b.id]=b;for(var a in b.childElements){this.addDescendants(b.childElements[a])}};JXG.GeometryElement.prototype.generatePolynomial=function(){return[]};JXG.GeometryElement.prototype.update=function(){if(this.traced){this.cloneToBackground(true)}};JXG.GeometryElement.prototype.updateRenderer=function(){};JXG.GeometryElement.prototype.hideElement=function(){this.visProp.visible=false;this.board.renderer.hide(this);if(this.label!=null&&this.hasLabel){this.label.hiddenByParent=true;if(this.label.content.visProp.visible){this.board.renderer.hide(this.label.content)}}};JXG.GeometryElement.prototype.showElement=function(){this.visProp.visible=true;this.board.renderer.show(this);if(this.label!=null&&this.hasLabel&&this.label.hiddenByParent){this.label.hiddenByParent=false;if(this.label.content.visProp.visible){this.board.renderer.show(this.label.content)}}};JXG.GeometryElement.prototype.setProperty=function(){var d;var e;var h;for(var g=0;g0)){this.minorTicks=h[1]}if(a!=this.minorTicks){this.calculateTicksCoordinates()}}break;case"majortickheight":if(this.type==JXG.OBJECT_TYPE_TICKS){var a=this.majorHeight;if((h[1]!=null)&&(h[1]>0)){this.majorHeight=h[1]}if(a!=this.majorHeight){this.calculateTicksCoordinates()}}break;case"minortickheight":if(this.type==JXG.OBJECT_TYPE_TICKS){var a=this.minorHeight;if((h[1]!=null)&&(h[1]>0)){this.minorHeight=h[1]}if(a!=this.minorHeight){this.calculateTicksCoordinates()}}break;case"snapwidth":if(this.type==JXG.OBJECT_TYPE_GLIDER){this.snapWidth=h[1]}}}};JXG.GeometryElement.prototype.setDash=function(a){this.visProp.dash=a;this.board.renderer.setObjectDash(this)};JXG.GeometryElement.prototype.prepareUpdate=function(){this.needsUpdate=true;return;for(var a in this.childElements){if(this.board.objects[a]!=undefined){this.childElements[a].prepareUpdate()}else{delete (this.childElements[a])}}};JXG.GeometryElement.prototype.remove=function(){this.board.renderer.remove(document.getElementById(this.id));if(this.hasLabel){this.board.renderer.remove(document.getElementById(this.label.content.id))}};JXG.GeometryElement.prototype.getTextAnchor=function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)};JXG.GeometryElement.prototype.getLabelAnchor=function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)};JXG.GeometryElement.prototype.setStyle=function(a){};JXG.GeometryElement.prototype.setStraight=function(a,b){};JXG.GeometryElement.prototype.setArrow=function(b,a){};JXG.GeometryElement.prototype.createLabel=function(b){var a=false;this.nameHTML=this.board.algebra.replaceSup(this.board.algebra.replaceSub(this.name));this.label={};if(typeof b=="undefined"||b==true){if(this.board.objects[this.id]==null){this.board.objects[this.id]=this;a=true}this.label.relativeCoords=[10,10];this.label.content=new JXG.Text(this.board,this.nameHTML,this.id,[this.label.relativeCoords[0]/(this.board.unitX*this.board.zoomX),this.label.relativeCoords[1]/(this.board.unitY*this.board.zoomY)],this.id+"Label","",null,true);if(a){delete (this.board.objects[this.id])}this.label.color="#000000";if(!this.visProp.visible){this.label.hiddenByParent=true;this.label.content.visProp.visible=false}this.hasLabel=true}};JXG.GeometryElement.prototype.addLabelToElement=function(){this.createLabel(true);this.label.content.id=this.id+"Label";this.board.addText(this.label.content);this.board.renderer.drawText(this.label.content);if(!this.label.content.visProp.visible){board.renderer.hide(this.label.content)}};JXG.GeometryElement.prototype.clearTrace=function(){for(var a in this.traces){this.board.renderer.remove(this.traces[a])}this.numTraces=0};JXG.GeometryElement.prototype.cloneToBackground=function(a){return};JXG.GeometryElement.prototype.normalize=function(){this.stdform=this.board.algebra.normalize(this.stdform)};JXG.GeometryElement.prototype.toJSON=function(){var b='{"name":'+this.name;b+=', "id":'+this.id;var d=[];for(var a in this.visProp){if(this.visProp[a]!=null){d.push('"'+a+'":'+this.visProp[a])}}b+=', "visProp":{'+d.toString()+"}";b+="}";return b};JXG.COORDS_BY_USER=1;JXG.COORDS_BY_SCREEN=2;JXG.Coords=function(d,b,a){this.board=a;this.usrCoords=[1,0,0];this.scrCoords=[1,0,0];if(d==JXG.COORDS_BY_USER){if(b.length<=2){this.usrCoords[1]=b[0];this.usrCoords[2]=b[1]}else{this.usrCoords[0]=b[0];this.usrCoords[1]=b[1];this.usrCoords[2]=b[2];this.normalizeUsrCoords()}this.usr2screen()}else{this.scrCoords[1]=b[0];this.scrCoords[2]=b[1];this.screen2usr()}};JXG.Coords.prototype.normalizeUsrCoords=function(){var a=0.000001;if(Math.abs(this.usrCoords[0])>a){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(){var d=this.board.origin.scrCoords,a=this.board;this.usrCoords[0]=1;this.usrCoords[1]=(this.scrCoords[1]-d[1])/(a.unitX*a.zoomX);this.usrCoords[2]=(d[2]-this.scrCoords[2])/(a.unitY*a.zoomY)};JXG.Coords.prototype.distance=function(g,e){var b=0,a,d;if(g==JXG.COORDS_BY_USER){for(a=0;a<=this.board.dimension;a++){d=this.usrCoords[a]-e.usrCoords[a];b+=d*d}}else{for(a=0;a<=this.board.dimension;a++){d=this.scrCoords[a]-e.scrCoords[a];b+=d*d}}return Math.sqrt(b)};JXG.Coords.prototype.setCoordinates=function(b,a){if(b==JXG.COORDS_BY_USER){if(a.length==2){this.usrCoords[0]=1;this.usrCoords[1]=a[0];this.usrCoords[2]=a[1]}else{this.usrCoords[0]=a[0];this.usrCoords[1]=a[1];this.usrCoords[2]=a[2];this.normalizeUsrCoords()}this.usr2screen()}else{this.scrCoords[1]=a[0];this.scrCoords[2]=a[1];this.screen2usr()}};JXG.POINT_STYLE_X_SMALL=0;JXG.POINT_STYLE_X=1;JXG.POINT_STYLE_X_BIG=2;JXG.POINT_STYLE_CIRCLE_TINY=3;JXG.POINT_STYLE_CIRCLE_SMALL=4;JXG.POINT_STYLE_CIRCLE=5;JXG.POINT_STYLE_CIRCLE_BIG=6;JXG.POINT_STYLE_SQUARE_SMALL=7;JXG.POINT_STYLE_SQUARE=8;JXG.POINT_STYLE_SQUARE_BIG=9;JXG.POINT_STYLE_PLUS_SMALL=10;JXG.POINT_STYLE_PLUS=11;JXG.POINT_STYLE_PLUS_BIG=12;JXG.Point=function(e,f,g,b,a,d){this.constructor();this.type=JXG.OBJECT_TYPE_POINT;this.elementClass=JXG.OBJECT_CLASS_POINT;this.init(e,g,b);if(f==null){f=[0,0]}this.coords=new JXG.Coords(JXG.COORDS_BY_USER,f,this.board);this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,f,this.board);this.showInfobox=true;this.label={};this.label.relativeCoords=[10,10];this.nameHTML=this.board.algebra.replaceSup(this.board.algebra.replaceSub(this.name));if(typeof d=="undefined"||d==true){this.board.objects[this.id]=this;this.label.content=new JXG.Text(this.board,this.nameHTML,this.id,[this.label.relativeCoords[0]/(this.board.unitX*this.board.zoomX),this.label.relativeCoords[1]/(this.board.unitY*this.board.zoomY)],this.id+"Label","",null,true);delete (this.board.objects[this.id]);this.label.color="#000000";if(!a){this.label.hiddenByParent=true;this.label.content.visProp.visible=false}this.hasLabel=true}else{this.showInfobox=false}this.fixed=false;this.position=null;this.onPolygon=false;this.visProp.style=this.board.options.point.style;this.r=this.board.options.precision.hasPoint;this.visProp.fillColor=this.board.options.point.fillColor;this.visProp.highlightFillColor=this.board.options.point.highlightFillColor;this.visProp.strokeColor=this.board.options.point.strokeColor;this.visProp.highlightStrokeColor=this.board.options.point.highlightStrokeColor;this.visProp.visible=a;this.slideObject=null;this.group=[];this.id=this.board.addPoint(this)};JXG.Point.prototype=new JXG.GeometryElement();JXG.Point.prototype.hasPoint=function(b,d){var a=this.coords.scrCoords;return((Math.abs(a[1]-b)=JXG.Math.eps&&Math.abs(j.usrCoords[0])>=JXG.Math.eps){this.coords.setCoordinates(JXG.COORDS_BY_USER,[e.usrCoords[1]+this.position*(j.usrCoords[1]-e.usrCoords[1]),e.usrCoords[2]+this.position*(j.usrCoords[2]-e.usrCoords[2])])}}else{var k=1;var w=e.distance(JXG.COORDS_BY_USER,this.coords);var b=e.distance(JXG.COORDS_BY_USER,j);var h=j.distance(JXG.COORDS_BY_USER,this.coords);if(((w>b)||(h>b))&&(w=JXG.Math.eps){var x=Math.round(this.Value()/this.snapWidth)*this.snapWidth;this.position=k*(x-this._smin)/(this._smax-this._smin);this.update(true)}}var d=this.slideObject.point1.coords.scrCoords;var u=this.slideObject.point2.coords.scrCoords;var g;if(this.slideObject.getSlope()==0){g=1}else{g=2}var o=this.coords.scrCoords[g];if(!this.slideObject.visProp.straightFirst){if(d[g]u[g]){if(o>d[g]){this.coords=this.slideObject.point1.coords;this.position=0}}}}if(!this.slideObject.visProp.straightLast){if(d[g]u[g]){this.coords=this.slideObject.point2.coords;this.position=1}}else{if(d[g]>u[g]){if(othis.board.algebra.eps)?this.isReal:false;if(this.isReal){if(a!=this.isReal){this.board.renderer.show(this);if(this.hasLabel&&this.label.content.visProp.visible){this.board.renderer.show(this.label.content)}}this.board.renderer.updatePoint(this)}else{if(a!=this.isReal){this.board.renderer.hide(this);if(this.hasLabel&&this.label.content.visProp.visible){this.board.renderer.hide(this.label.content)}}}}if(this.hasLabel&&this.label.content.visProp.visible&&this.isReal){this.label.content.update();this.board.renderer.updateText(this.label.content)}};JXG.Point.prototype.X=function(){return this.coords.usrCoords[1]};JXG.Point.prototype.Y=function(){return this.coords.usrCoords[2]};JXG.Point.prototype.Z=function(){return this.coords.usrCoords[0]};JXG.Point.prototype.XEval=function(){return this.coords.usrCoords[1]};JXG.Point.prototype.YEval=function(){return this.coords.usrCoords[2]};JXG.Point.prototype.ZEval=function(){return this.coords.usrCoords[0]};JXG.Point.prototype.Dist=function(a){return this.coords.distance(JXG.COORDS_BY_USER,a.coords)};JXG.Point.prototype.setPositionDirectly=function(e,a,d){var b=this.coords;this.coords=new JXG.Coords(e,[a,d],this.board);if(this.group.length!=0){this.group[this.group.length-1].dX=this.coords.scrCoords[1]-b.scrCoords[1];this.group[this.group.length-1].dY=this.coords.scrCoords[2]-b.scrCoords[2];this.group[this.group.length-1].update(this)}else{this.update()}};JXG.Point.prototype.setPositionByTransform=function(f,a,e){var d=this.coords;var b=this.board.createElement("transform",[a,e],{type:"translate"});if(this.transformations.length>0&&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(d,a,b){this.setPositionByTransform(d,a,b)};JXG.Point.prototype.makeGlider=function(a){this.slideObject=JXG.GetReferenceFromParameter(this.board,a);this.type=JXG.OBJECT_TYPE_GLIDER;this.snapWidth=null;this.slideObject.addChild(this);if(this.slideObject.elementClass==JXG.OBJECT_CLASS_LINE){this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)}}else{if(this.slideObject.elementClass==JXG.OBJECT_CLASS_CIRCLE){this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)}}}this.needsUpdate=true;this.update()};JXG.Point.prototype.addConstraint=function(f){this.type=JXG.OBJECT_TYPE_CAS;var g=this.board.elementsByName;var h=[];var a;for(var e=0;eg){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 k=this.slideObject.getSlope();var h;var f;if(k!="INF"){var e=Math.atan(k);h=Math.round((this.intervalCount/g)*b*Math.cos(e));f=Math.round((this.intervalCount/g)*b*Math.sin(e))}else{h=0;f=Math.round((this.intervalCount/g)*b)}var d;var o=1;if(q<0){d=this.slideObject.point2;if(this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]>0){o=-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){o=-1}}}}else{d=this.slideObject.point1;if(this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]>0){o=-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){o=-1}}}}this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[d.coords.scrCoords[1]+o*h,d.coords.scrCoords[2]+o*f])}else{if(this.slideObject.type==JXG.OBJECT_TYPE_CURVE){var a;if(q>0){a=Math.round(this.intervalCount/g*this.board.canvasWidth)}else{a=Math.round((g-this.intervalCount)/g*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 e;if(q<0){e=this.intervalCount/g*2*Math.PI}else{e=(g-this.intervalCount)/g*2*Math.PI}var j=this.slideObject.getRadius();this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.slideObject.midpoint.coords.usrCoords[1]+j*Math.cos(e),this.slideObject.midpoint.coords.usrCoords[2]+j*Math.sin(e)])}}}this.board.update(this)};JXG.Point.prototype.setStyle=function(a){this.visProp.style=a;this.board.renderer.changePointStyle(this)};JXG.Point.prototype.remove=function(){if(this.hasLabel){this.board.renderer.remove(document.getElementById(this.label.content.id))}if(this.visProp.style>=3&&this.visProp.style<=9){this.board.renderer.remove(document.getElementById(this.id))}else{this.board.renderer.remove(document.getElementById(this.id+"_x1"));this.board.renderer.remove(document.getElementById(this.id+"_x2"))}};JXG.Point.prototype.getTextAnchor=function(){return this.coords};JXG.Point.prototype.getLabelAnchor=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]=document.getElementById(b.id)}else{this.traces[b.id+"_x1"]=document.getElementById(b.id+"_x1");this.traces[b.id+"_x2"]=document.getElementById(b.id+"_x2")}delete b};JXG.createPoint=function(f,b,g){var e;if(g==null){g={}}if(typeof g.withLabel=="undefined"){g.withLabel=true}var a=false;for(var d=0;d=3){if(b.length==3){b.push(null)}d=e.createElement("point",[e.intersection(b[0],b[1],b[2],b[3])],a)}b[0].addChild(d);b[1].addChild(d);d.generatePolynomial=function(){var f=b[0].generatePolynomial(d);var g=b[1].generatePolynomial(d);if((f.length==0)||(g.length==0)){return[]}else{return[f[0],g[0]]}};return d};JXG.JSXGraph.registerElement("point",JXG.createPoint);JXG.JSXGraph.registerElement("glider",JXG.createGlider);JXG.JSXGraph.registerElement("intersection",JXG.createIntersectionPoint);JXG.Line=function(d,f,e,g,a,b){this.constructor();this.type=JXG.OBJECT_TYPE_LINE;this.elementClass=JXG.OBJECT_CLASS_LINE;this.init(d,g,a);this.point1=JXG.GetReferenceFromParameter(this.board,f);this.point2=JXG.GetReferenceFromParameter(this.board,e);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.defaultTicks=null;this.parentPolygon=null;this.createLabel(b);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 f=[],q=[1,j,g],k=[],w,d,h,b,o,u,e,a;f[0]=this.stdform[0]-this.stdform[1]*this.board.origin.scrCoords[1]/(this.board.unitX*this.board.zoomX)+this.stdform[2]*this.board.origin.scrCoords[2]/(this.board.unitY*this.board.zoomY);f[1]=this.stdform[1]/(this.board.unitX*this.board.zoomX);f[2]=this.stdform[2]/(-this.board.unitY*this.board.zoomY);w=this.board.algebra.innerProduct(q,f,3)/this.board.algebra.innerProduct(f,f,3);for(d=0;d<3;d++){k[d]=q[d]-w*f[d]}k[1]/=k[0];k[2]/=k[0];k[0]=1;if(this.board.algebra.distance(q,k)>this.r){return false}if(this.visProp.straightFirst&&this.visProp.straightLast){return true}else{h=new JXG.Coords(JXG.COORDS_BY_SCREEN,[k[1],k[2]],this.board);b=this.point1.coords.scrCoords;o=this.point2.coords.scrCoords;u=h.distance(JXG.COORDS_BY_SCREEN,this.point1.coords);e=h.distance(JXG.COORDS_BY_SCREEN,this.point2.coords);a=this.point1.coords.distance(JXG.COORDS_BY_SCREEN,this.point2.coords);if((u>a)||(e>a)){if(u=JXG.Math.eps){return -this.stdform[0]/this.stdform[2]}else{return"INF"}};JXG.Line.prototype.getSlope=function(){if(Math.abs(this.stdform[2])>=JXG.Math.eps){return -this.stdform[1]/this.stdform[2]}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.getLabelAnchor=function(){var f,d,b,e,a;if(!this.visProp.straightFirst&&!this.visProp.straightLast){return new JXG.Coords(JXG.COORDS_BY_USER,[this.point2.X()-0.5*(this.point2.X()-this.point1.X()),this.point2.Y()-0.5*(this.point2.Y()-this.point1.Y())],this.board)}else{d=new JXG.Coords(JXG.COORDS_BY_USER,this.point1.coords.usrCoords,this.board);b=new JXG.Coords(JXG.COORDS_BY_USER,this.point2.coords.usrCoords,this.board);this.board.renderer.calcStraight(this,d,b);if(this.visProp.straightFirst){f=d}else{f=b}if(this.label.content!=null){e;a=this.getSlope();if(f.scrCoords[2]==0){if(a=="INF"){e=[10,-10]}else{if(a>=0){e=[10,-10]}else{e=[-10,-10]}}}else{if(f.scrCoords[2]==this.board.canvasHeight){if(a=="INF"){e=[10,10]}else{if(a>=0){e=[-10,10]}else{e=[10,10]}}}}if(f.scrCoords[1]==0){if(a=="INF"){e=[10,10]}else{if(a>=0){e=[10,-10]}else{e=[10,10]}}}else{if(f.scrCoords[1]==this.board.canvasWidth){if(a=="INF"){e=[-10,10]}else{if(a>=0){e=[-10,10]}else{e=[-10,-10]}}}}this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_USER,[e[0]/(this.board.unitX*this.board.zoomX),e[1]/(this.board.unitY*this.board.zoomY)],this.board)}return f}};JXG.Line.prototype.cloneToBackground=function(b){var e={},d,a;e.id=this.id+"T"+this.numTraces;this.numTraces++;e.point1=this.point1;e.point2=this.point2;e.stdform=this.stdform;e.board={};e.board.unitX=this.board.unitX;e.board.unitY=this.board.unitY;e.board.zoomX=this.board.zoomX;e.board.zoomY=this.board.zoomY;e.board.origin=this.board.origin;e.board.canvasHeight=this.board.canvasHeight;e.board.canvasWidth=this.board.canvasWidth;e.board.dimension=this.board.dimension;e.board.algebra=this.board.algebra;e.visProp=this.visProp;a=this.getSlope();d=this.getRise();e.getSlope=function(){return a};e.getRise=function(){return d};this.board.renderer.enhancedRendering=true;this.board.renderer.drawLine(e);this.board.renderer.enhancedRendering=false;this.traces[e.id]=document.getElementById(e.id);delete e};JXG.Line.prototype.addTransform=function(a){var d,b;if(JXG.IsArray(a)){d=a}else{d=[a]}for(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.Line.prototype.X=function(j){var q=this.stdform[1],o=this.stdform[2],k=this.stdform[0],g,f,d,e,h;j*=Math.PI;g=q*Math.cos(j)+o*Math.sin(j);f=k;d=Math.sqrt(g*g+f*f);e=-f/d;h=g/d;if(Math.abs(h)=this.board.algebra.eps){return 1}else{return 0}};JXG.Line.prototype.minX=function(){return 0};JXG.Line.prototype.maxX=function(){return 1};JXG.Line.prototype.addTicks=function(a){if(a.id==""||typeof a.id=="undefined"){a.id=this.id+"_ticks_"+(this.ticks.length+1)}this.board.renderer.drawTicks(a);this.ticks.push(a);this.ticks[this.ticks.length-1].updateRenderer();return a.id};JXG.Line.prototype.removeAllTicks=function(){var a;for(a=this.ticks.length;a>0;a--){this.board.renderer.remove(this.ticks[a-1].rendNode)}this.ticks=new Array()};JXG.Line.prototype.removeTicks=function(d){var b,a;if(this.defaultTicks!=null&&this.defaultTicks==d){this.defaultTicks=null}for(b=this.ticks.length;b>0;b--){if(this.ticks[b-1]==d){this.board.renderer.remove(this.ticks[b-1].rendNode);for(a=0;a1){g=e.createElement("point",a[0],{visible:false,fixed:true})}else{if(a[0].elementClass==JXG.OBJECT_CLASS_POINT){g=JXG.GetReferenceFromParameter(e,a[0])}else{throw ("Can't create line with parent types '"+(typeof a[0])+"' and '"+(typeof a[1])+"'.")}}if(a[1].length>1){f=e.createElement("point",a[1],{visible:false,fixed:true})}else{if(a[1].elementClass==JXG.OBJECT_CLASS_POINT){f=JXG.GetReferenceFromParameter(e,a[1])}else{throw ("Can't create line with parent types '"+(typeof a[0])+"' and '"+(typeof a[1])+"'.")}}d=new JXG.Line(e,g.id,f.id,j.id,j.name,j.withLabel)}else{if(a.length==3){for(b=0;b<3;b++){if(typeof a[b]=="number"){h[b]=function(k){return function(){return k}}(a[b])}else{if(typeof a[b]=="function"){h[b]=a[b]}else{throw ("Can't create line with parent types '"+(typeof a[0])+"' and '"+(typeof a[1])+"' and '"+(typeof a[2])+"'.");return}}}g=e.createElement("point",[function(){return 0},function(){return h[2]()},function(){return -h[1]()}],{visible:false,name:" "});f=e.createElement("point",[function(){return h[2]()*h[2]()+h[1]()*h[1]()},function(){return -h[1]()*h[0]()+h[2]()},function(){return -h[2]()*h[0]()-h[1]()}],{visible:false,name:" "});d=new JXG.Line(e,g.id,f.id,j.id,j.name,j.withLabel)}else{throw ("Can't create line with parent types '"+(typeof a[0])+"' and '"+(typeof a[1])+"'.")}}return d};JXG.JSXGraph.registerElement("line",JXG.createLine);JXG.createSegment=function(d,a,e){var b;if(e==null){e=new Object()}if(e.withLabel==null||typeof e.withLabel=="undefined"){e.withLabel=false}e.straightFirst=false;e.straightLast=false;b=d.createElement("line",a,e);return b};JXG.JSXGraph.registerElement("segment",JXG.createSegment);JXG.createArrow=function(e,b,a){var d;if(a==null){a={}}if(a.withLabel==null||typeof a.withLabel=="undefined"){a.withLabel=false}d=e.createElement("line",b,a);d.setStraight(false,false);d.setArrow(false,true);return d};JXG.JSXGraph.registerElement("arrow",JXG.createArrow);JXG.createAxis=function(f,o,b){var j,h,q,g,d,a,e,k;if((JXG.IsArray(o[0])||JXG.IsPoint(o[0]))&&(JXG.IsArray(o[1])||JXG.IsPoint(o[1]))){if(JXG.IsPoint(o[0])){j=o[0]}else{j=new JXG.Point(f,o[0],"","",false)}if(JXG.IsPoint(o[1])){h=o[1]}else{h=new JXG.Point(f,o[1],"","",false)}j.fixed=true;h.fixed=true;if(b==null){b=new Object()}b.lastArrow=true;b.straightFirst=true;b.straightLast=true;if(b.strokeWidth==null){b.strokeWidth=1}if(b.withLabel==null){b.withLabel=false}q=f.createElement("line",[j,h],b);q.needsRegularUpdate=false;if(b.minorTicks=="undefined"||b.minorTicks==null){b.minorTicks=4}if((b.insertTicks=="undefined")||(b.insertTicks==null)){b.insertTicks="true"}if(b.ticksDistance!="undefined"&&b.ticksDistance!=null){g=b.ticksDistance}else{d=new JXG.Coords(JXG.COORDS_BY_USER,[q.point1.coords.usrCoords.slice(1)],f);a=new JXG.Coords(JXG.COORDS_BY_USER,[q.point2.coords.usrCoords.slice(1)],f);f.renderer.calcStraight(q,d,a);e=d.distance(JXG.COORDS_BY_USER,a);g=1}k=f.createElement("ticks",[q,g],b);k.needsRegularUpdate=false;q.defaultTicks=k}else{throw ("Can't create point with parent types '"+(typeof o[0])+"' and '"+(typeof o[1])+"'.")}return q};JXG.JSXGraph.registerElement("axis",JXG.createAxis);JXG.createTangent=function(q,v,e){var a=v[0],u=a.slideObject,k,o,h,d,b,w,x;if(e==null){e={}}if(e.withLabel==null){e.withLabel=false}if(u.elementClass==JXG.OBJECT_CLASS_LINE){return q.createElement("line",[u.point1,u.point2],e)}else{if(u.elementClass==JXG.OBJECT_CLASS_CURVE){if(u.curveType!="plot"){k=u.X;o=u.Y;return q.createElement("line",[function(){return -a.X()*q.D(o)(a.position)+a.Y()*q.D(k)(a.position)},function(){return q.D(o)(a.position)},function(){return -q.D(k)(a.position)}],e)}else{return q.createElement("line",[function(){h=Math.floor(a.position);if(h==u.numberPoints-1){h--}if(h<0){return 1}return u.Y(h)*u.X(h+1)-u.X(h)*u.Y(h+1)},function(){h=Math.floor(a.position);if(h==u.numberPoints-1){h--}if(h<0){return 0}return u.Y(h+1)-u.Y(h)},function(){h=Math.floor(a.position);if(h==u.numberPoints-1){h--}if(h<0){return 0}return u.X(h)-u.X(h+1)}],e)}}else{if(u.type==JXG.OBJECT_TYPE_TURTLE){return q.createElement("line",[function(){h=Math.floor(a.position);for(d=0;d1){f[b]=e.createElement("point",h[b],{visible:false,fixed:true})}else{f[b]=h[b]}}}if(h.length==2&&JXG.IsPoint(f[0])&&JXG.IsPoint(f[1])){d=new JXG.Circle(e,"twoPoints",f[0],f[1],g.id,g.name,g.withLabel)}else{if((JXG.IsNumber(f[0])||JXG.IsFunction(f[0])||JXG.IsString(f[0]))&&JXG.IsPoint(f[1])){d=new JXG.Circle(e,"pointRadius",f[1],f[0],g.id,g.name,g.withLabel)}else{if((JXG.IsNumber(f[1])||JXG.IsFunction(f[1])||JXG.IsString(f[1]))&&JXG.IsPoint(f[0])){d=new JXG.Circle(e,"pointRadius",f[0],f[1],g.id,g.name,g.withLabel)}else{if((f[0].type==JXG.OBJECT_TYPE_CIRCLE)&&JXG.IsPoint(f[1])){d=new JXG.Circle(e,"pointCircle",f[1],f[0],g.id,g.name,g.withLabel)}else{if((f[1].type==JXG.OBJECT_TYPE_CIRCLE)&&JXG.IsPoint(f[0])){d=new JXG.Circle(e,"pointCircle",f[0],f[1],g.id,g.name,g.withLabel)}else{if((f[0].type==JXG.OBJECT_TYPE_LINE)&&JXG.IsPoint(f[1])){d=new JXG.Circle(e,"pointLine",f[1],f[0],g.id,g.name,g.withLabel)}else{if((f[1].type==JXG.OBJECT_TYPE_LINE)&&JXG.IsPoint(f[0])){d=new JXG.Circle(e,"pointLine",f[0],f[1],g.id,g.name,g.withLabel)}else{if(h.length==3&&JXG.IsPoint(f[0])&&JXG.IsPoint(f[1])&&JXG.IsPoint(f[2])){var a=JXG.createCircumcircle(e,f,g);a[0].setProperty({visible:false});return a[1]}else{throw ("Can't create circle with parent types '"+(typeof h[0])+"' and '"+(typeof h[1])+"'.")}}}}}}}}return d};JXG.JSXGraph.registerElement("circle",JXG.createCircle);JXG.Polygon=function(k,o,q,d,b,e,a,h){this.constructor();this.type=JXG.OBJECT_TYPE_POLYGON;this.elementClass=JXG.OBJECT_CLASS_AREA;this.init(k,d,b);if((typeof e=="undefined")||(e==null)){e=true}if((typeof h=="undefined")||(h==null)){h=false}this.withLines=e;this.vertices=[];for(var g=0;gd){d=this.vertices[g].X()}if(this.vertices[g].Y()>e){e=this.vertices[g].Y()}if(this.vertices[g].Y()d){d=this.vertices[g].X()}if(this.vertices[g].Y()>e){e=this.vertices[g].Y()}if(this.vertices[g].Y()=JXG.Math.eps){h=(E*D+f*e)/k;z=Math.sqrt(E*E+f*f-h*(E*D+f*e))}else{h=0;z=Math.sqrt(E*E+f*f)}if(h>=0&&h<=1&&z0&&this.transformations[this.transformations.length-1].isNumericMatrix){this.transformations[this.transformations.length-1].melt(b)}else{this.addTransform(b)}};JXG.Curve.prototype.generateTerm=function(a,q,k,h,o){var g,e,f,j,d,b;this.numberPoints=this.board.canvasWidth*1;if(typeof q=="string"){g=this.board.algebra.geonext2JS(q);this.X=new Function(a,"return "+g+";");this.curveType="functiongraph"}else{if(typeof q=="function"){this.X=q;this.curveType="parameter"}else{if(typeof q=="number"){this.X=function(){return q};this.curveType="parameter"}else{if(typeof q=="object"){this.curveType="plot";this.dataX=q;this.X=function(u){return this.dataX[u]};this.numberPoints=this.dataX.length}}}}if(typeof k=="string"){e=this.board.algebra.geonext2JS(k);this.Y=new Function(a,"return "+e+";")}else{if(typeof k=="function"){this.Y=k}else{if(typeof k=="number"){this.Y=function(){return k}}else{if(typeof k=="object"){this.dataY=k;this.Y=function(u){return this.dataY[u]}}}}}if(typeof q=="function"&&typeof k=="object"){if(typeof k[0]=="function"){d=k[0]}else{if(typeof k[0]=="number"){d=function(){return k[0]}}}if(typeof k[1]=="function"){b=k[1]}else{if(typeof k[1]=="number"){b=function(){return k[1]}}}this.X=function(u){return(q)(u)*Math.cos(u)+d()};this.Y=function(u){return(q)(u)*Math.sin(u)+b()};this.curveType="polar"}if(h!=null){if(typeof h=="string"){f=this.board.algebra.geonext2JS(h);this.minX=new Function("","return "+f+";")}else{if(typeof h=="function"){this.minX=h}else{if(typeof h=="number"){this.minX=function(){return h}}}}}if(o!=null){if(typeof o=="string"){j=this.board.algebra.geonext2JS(o);this.maxX=new Function("","return "+j+";")}else{if(typeof o=="function"){this.maxX=o}else{if(typeof o=="number"){this.maxX=function(){return o}}}}}};JXG.Curve.prototype.notifyParents=function(a){this.board.algebra.findDependencies(this,a)};JXG.Curve.prototype.getLabelAnchor=function(){var a=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,this.board.canvasHeight*0.5],this.board);a=this.board.algebra.projectCoordsToCurve(a.usrCoords[1],a.usrCoords[2],0,this)[0];return a};JXG.createCurve=function(d,b,a){if(a==null){a={}}if(typeof a.withLabel=="undefined"){a.withLabel=false}return new JXG.Curve(d,["x"].concat(b),a.id,a.name,a.withLabel)};JXG.JSXGraph.registerElement("curve",JXG.createCurve);JXG.createFunctiongraph=function(e,b,a){var d=["x","x"].concat(b);if(a==null){a={}}if(typeof a.withLabel=="undefined"){a.withLabel=false}a.curveType="functiongraph";return new JXG.Curve(e,d,a.id,a.name,a.withLabel)};JXG.JSXGraph.registerElement("functiongraph",JXG.createFunctiongraph);JXG.createSpline=function(d,b,a){var e;if(a==null){a={}}if(typeof a.withLabel=="undefined"){a.withLabel=false}e=function(h){var f=new Array(),k=new Array(),g,j;for(g=0;g=e){if(ff){if(d1){b=1}else{if(b<-1){b=-1}}x=Math.acos(b);if((Math.sin(x)*v)<0){q=2*Math.PI-x}else{q=x}q=(q/Math.PI)*180;return q};JXG.Algebra.prototype.angleBisector=function(g,f,b){var e=g.coords.usrCoords,o=f.coords.usrCoords,h=b.coords.usrCoords,u=e[1]-o[1],q=e[2]-o[2],k=Math.sqrt(u*u+q*q),a,v,j;u/=k;q/=k;a=Math.acos(u);if(q<0){a*=-1}if(a<0){a+=2*Math.PI}u=h[1]-o[1];q=h[2]-o[2];k=Math.sqrt(u*u+q*q);u/=k;q/=k;v=Math.acos(u);if(q<0){v*=-1}if(v<0){v+=2*Math.PI}j=(a+v)*0.5;if(a>v){j+=Math.PI}u=Math.cos(j)+o[1];q=Math.sin(j)+o[2];return new JXG.Coords(JXG.COORDS_BY_USER,[u,q],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(f,b,j){var d=1,g=j.coords.usrCoords,k=f.coords.usrCoords,a=b.coords.usrCoords,h=g[1]+d*(a[1]-k[1]),e=g[2]+d*(a[2]-k[2]);return new JXG.Coords(JXG.COORDS_BY_USER,[h,e],this.board)};JXG.Algebra.prototype.reflection=function(q,j){var e=j.coords.usrCoords,u=q.point1.coords.usrCoords,d=q.point2.coords.usrCoords,b,h,a,f,k,g,o;k=d[1]-u[1];g=d[2]-u[2];b=e[1]-u[1];h=e[2]-u[2];o=(k*h-g*b)/(k*k+g*g);a=e[1]+2*o*g;f=e[2]-2*o*k;return new JXG.Coords(JXG.COORDS_BY_USER,[a,f],this.board)};JXG.Algebra.prototype.rotation=function(a,o,f){var h=o.coords.usrCoords,b=a.coords.usrCoords,e,k,g,q,d,j;e=h[1]-b[1];k=h[2]-b[2];g=Math.cos(f);q=Math.sin(f);d=e*g-k*q+b[1];j=e*q+k*g+b[2];return new JXG.Coords(JXG.COORDS_BY_USER,[d,j],this.board)};JXG.Algebra.prototype.perpendicular=function(v,q){var f=v.point1.coords.usrCoords,e=v.point2.coords.usrCoords,b=q.coords.usrCoords,k,h,j,u,g,d,a,o;if(q==v.point1){k=f[1]+e[2]-f[2];h=f[2]-e[1]+f[1];j=true}else{if(q==v.point2){k=e[1]+f[2]-e[2];h=e[2]-f[1]+e[1];j=false}else{if(((Math.abs(f[1]-e[1])>this.eps)&&(Math.abs(b[2]-(f[2]-e[2])*(b[1]-f[1])/(f[1]-e[1])-f[2])0){a=k.midpoint.Dist(A.point1);L=k.midpoint.Dist(A.point2);J=((a*a)+(E*E)-(L*L))/(2*E);C=(a*a)-(J*J);C=(C<0)?0:C;H=Math.sqrt(C);F=k.getRadius();o=Math.sqrt((F*F)-H*H);D=K[1]-M[1];B=K[2]-M[2];j=f[1]+(H/E)*B;g=f[2]-(H/E)*D;a=(K[1]*B)-(K[2]*D);L=(j*D)+(g*B);G=(B*B)+(D*D);if(Math.abs(G)v){return[0]}else{if(ye.maxX()){z=e.maxX()}w=new JXG.Coords(JXG.COORDS_BY_USER,[e.X(z),e.Y(z)],this.board)}else{if(e.curveType=="plot"){g=j;for(f=0;f=JXG.Math.eps){a=(d*b+v*o)/u;h=Math.sqrt(d*d+v*v-a*(d*b+v*o))}else{a=0;h=Math.sqrt(d*d+v*v)}if(a>=0&&a<=1&&h=0){b=d.slice(0,f);if(b.charAt(b.length-1)==")"){h=1;o=b.length-2;while(o>=0&&h>0){j=b.charAt(o);if(j==")"){h++}else{if(j=="("){h--}}o--}if(h==0){g="";e=b.substring(0,o+1);a=o;while(a>=0&&e.substr(a,1).match(/(\w+)/)){g=RegExp.$1+g;a--}g+=b.substring(o+1,b.length);g=g.replace(/([\(\)\+\*\%\^\-\/\]\[])/g,"\\$1")}}else{g="\\w+"}u=d.slice(f+1);if(u.match(/^([\w\.]*\()/)){h=1;o=RegExp.$1.length;while(o0){j=u.charAt(o);if(j==")"){h--}else{if(j=="("){h++}}o++}if(h==0){k=u.substring(0,o);k=k.replace(/([\(\)\+\*\%\^\-\/\[\]])/g,"\\$1")}}else{k="[\\w\\.]+"}q=new RegExp("("+g+")\\^("+k+")");d=d.replace(q,"this.board.algebra.pow($1,$2)");f=d.indexOf("^")}return d};JXG.Algebra.prototype.replaceIf=function(b){var w="",d,v,f=null,a=null,j=null,e,u,g,k,h,o,q;e=b.indexOf("If(");if(e<0){return b}b=b.replace(/""/g,"0");while(e>=0){d=b.slice(0,e);v=b.slice(e+3);g=1;u=0;k=-1;h=-1;while(u0){o=v.charAt(u);if(o==")"){g--}else{if(o=="("){g++}else{if(o==","&&g==1){if(k<0){k=u}else{h=u}}}}u++}q=v.slice(0,u-1);v=v.slice(u);if(k<0){return""}if(h<0){return""}f=q.slice(0,k);a=q.slice(k+1,h);j=q.slice(h+1);f=this.replaceIf(f);a=this.replaceIf(a);j=this.replaceIf(j);w+=d+"(("+f+")?("+a+"):("+j+"))";b=v;f=null;a=null;e=b.indexOf("If(")}w+=v;return w};JXG.Algebra.prototype.replaceSub=function(d){var b=d.indexOf("_{"),a;while(b>=0){d=d.substr(0,b)+d.substr(b).replace(/_\{/,"");a=d.substr(b).indexOf("}");if(a>=0){d=d.substr(0,a)+d.substr(a).replace(/\}/,"")}b=d.indexOf("_{")}b=d.indexOf("_");while(b>=0){d=d.substr(0,b)+d.substr(b).replace(/_(.?)/,"$1");b=d.indexOf("_")}return d};JXG.Algebra.prototype.replaceSup=function(d){var b=d.indexOf("^{"),a;while(b>=0){d=d.substr(0,b)+d.substr(b).replace(/\^\{/,"");a=d.substr(b).indexOf("}");if(a>=0){d=d.substr(0,a)+d.substr(a).replace(/\}/,"")}b=d.indexOf("^{")}b=d.indexOf("^");while(b>=0){d=d.substr(0,b)+d.substr(b).replace(/\^(.?)/,"$1");b=d.indexOf("^")}return d};JXG.Algebra.prototype.replaceNameById=function(b){var f=0,a,e,d;f=b.indexOf("X(");while(f>=0){if(f>=0){a=b.indexOf(")",f+2);if(a>=0){e=b.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+2)+d.id+b.slice(a)}}a=b.indexOf(")",f+2);f=b.indexOf("X(",a)}f=b.indexOf("Y(");while(f>=0){if(f>=0){a=b.indexOf(")",f+2);if(a>=0){e=b.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+2)+d.id+b.slice(a)}}a=b.indexOf(")",f+2);f=b.indexOf("Y(",a)}f=b.indexOf("L(");while(f>=0){if(f>=0){a=b.indexOf(")",f+2);if(a>=0){e=b.slice(f+2,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+2)+d.id+b.slice(a)}}a=b.indexOf(")",f+2);f=b.indexOf("L(",a)}f=b.indexOf("Dist(");while(f>=0){if(f>=0){a=b.indexOf(",",f+5);if(a>=0){e=b.slice(f+5,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+5)+d.id+b.slice(a)}}a=b.indexOf(",",f+5);f=b.indexOf(",",a);a=b.indexOf(")",f+1);if(a>=0){e=b.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+1)+d.id+b.slice(a)}a=b.indexOf(")",f+1);f=b.indexOf("Dist(",a)}f=b.indexOf("Deg(");while(f>=0){if(f>=0){a=b.indexOf(",",f+4);if(a>=0){e=b.slice(f+4,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+4)+d.id+b.slice(a)}}a=b.indexOf(",",f+4);f=b.indexOf(",",a);a=b.indexOf(",",f+1);if(a>=0){e=b.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+1)+d.id+b.slice(a)}a=b.indexOf(",",f+1);f=b.indexOf(",",a);a=b.indexOf(")",f+1);if(a>=0){e=b.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+1)+d.id+b.slice(a)}a=b.indexOf(")",f+1);f=b.indexOf("Deg(",a)}f=b.indexOf("Rad(");while(f>=0){if(f>=0){a=b.indexOf(",",f+4);if(a>=0){e=b.slice(f+4,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+4)+d.id+b.slice(a)}}a=b.indexOf(",",f+4);f=b.indexOf(",",a);a=b.indexOf(",",f+1);if(a>=0){e=b.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+1)+d.id+b.slice(a)}a=b.indexOf(",",f+1);f=b.indexOf(",",a);a=b.indexOf(")",f+1);if(a>=0){e=b.slice(f+1,a);e=e.replace(/\\(['"])?/g,"$1");d=this.board.elementsByName[e];b=b.slice(0,f+1)+d.id+b.slice(a)}a=b.indexOf(")",f+1);f=b.indexOf("Rad(",a)}return b};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){var e,d,a,g=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Floor","Log","Max","Min","Pow","Random","Round","Sin","Sqrt","Tan","Trunc"],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.round","Math.sin","Math.sqrt","Math.tan","Math.ceil"];b=b.replace(/</g,"<");b=b.replace(/>/g,">");b=b.replace(/&/g,"&");d=b;d=this.replaceNameById(d);d=this.replaceIf(d);d=this.replacePow(d);d=this.replaceIdByObj(d);for(a=0;a=0){f[d].addChild(e)}}}else{a=d.replace(/\[/g,"\\[");a=a.replace(/\]/g,"\\]");g=new RegExp("\\(([\\w\\[\\]'_ ]+,)*("+a+")(,[\\w\\[\\]'_ ]+)*\\)","g");if(b.search(g)>=0){f[d].addChild(e)}}}}};JXG.Algebra.prototype.distance=function(e,d){var b=0,a;if(e.length!=d.length){return}for(a=0;athis.eps&&(Math.abs(b[0])0){return Math.exp(d*Math.log(Math.abs(e)))}else{return null}}};JXG.Algebra.prototype.crossProduct=function(b,a){return[b[1]*a[2]-b[2]*a[1],b[2]*a[0]-b[0]*a[2],b[0]*a[1]-b[1]*a[0]]};JXG.Algebra.prototype.innerProduct=function(e,d,h){var f,g=0;for(f=0;f=a&&Math.abs(b[3])=a){return this.meetLineCircle(e,b,d)}else{return this.meetCircleCircle(e,b,d)}}}};JXG.Algebra.prototype.meetLineLine=function(b,a,d){var e=this.crossProduct(b,a);if(Math.abs(e[0])>this.eps){e[1]/=e[0];e[2]/=e[0];e[0]=1}return new JXG.Coords(JXG.COORDS_BY_USER,e,this.board)};JXG.Algebra.prototype.meetLineCircle=function(j,e,u){var y,x,w,v,o,h,g,f,q,z;if(e[4]=0){q=Math.sqrt(q);z=[(-g+q)/(2*h),(-g-q)/(2*h)];return((u==0)?new JXG.Coords(JXG.COORDS_BY_USER,[-z[0]*(-o[1])-v*o[0],-z[0]*o[0]-v*o[1]],this.board):new JXG.Coords(JXG.COORDS_BY_USER,[-z[1]*(-o[1])-v*o[0],-z[1]*o[0]-v*o[1]],this.board))}else{return new JXG.Coords(JXG.COORDS_BY_USER,[NaN,NaN],this.board)}};JXG.Algebra.prototype.meetCircleCircle=function(d,a,b){var e;if(d[4]=1){d[0]=(d[6]*d[6]+d[7]*d[7]-e*e)/(2*e);d[1]=-d[6]/e;d[2]=-d[7]/e;d[3]=1/(2*e);d[4]=1}else{b=(e<=0)?(-1):(1);d[0]=b*(d[6]*d[6]+d[7]*d[7]-e*e)*0.5;d[1]=-b*d[6];d[2]=-b*d[7];d[3]=b/2;d[4]=b*e}}return d};JXG.Algebra.prototype.meetCurveCurve=function(y,x,h,o){var q=0,v,u,H,E,C,B,g,A,z,w,G,D,k,j;if(arguments.callee.t1memo){v=arguments.callee.t1memo;u=arguments.callee.t2memo}else{v=h;u=o}if(v>y.maxX()){v=y.maxX()}if(vx.maxX()){u=x.maxX()}if(uJXG.Math.eps&&q<10){H=G(v);E=-D(u);C=k(v);B=-j(u);g=H*B-E*C;v-=(B*A-E*z)/g;u-=(H*z-C*A)/g;A=y.X(v)-x.X(u);z=y.Y(v)-x.Y(u);w=A*A+z*z;q++}arguments.callee.t1memo=v;arguments.callee.t2memo=u;if(Math.abs(v)/g,"∠");f=f.replace(//g,"√");var d;d=f.indexOf("");var a=f.indexOf("");if(d>=0){while(d>=0){g+=' + "'+this.board.algebra.replaceSub(this.board.algebra.replaceSup(f.slice(0,d)))+'"';var b=f.slice(d+7,a);var e=this.board.algebra.geonext2JS(b);e=e.replace(/\\"/g,'"');e=e.replace(/\\'/g,"'");if(e.indexOf("toFixed")<0){g+="+("+e+").toFixed("+(this.digits)+")"}else{g+="+("+e+")"}f=f.slice(a+8);d=f.indexOf("");a=f.indexOf("")}}g+=' + "'+this.board.algebra.replaceSub(this.board.algebra.replaceSup(f))+'"';g=g.replace(//g,"");g=g.replace(/<\/overline>/g,"");g=g.replace(//g,"");g=g.replace(/<\/arrow>/g,"");g=g.replace(/&/g,"&");return g};JXG.Text.prototype.notifyParents=function(d){var b=null;var e=this.board.elementsByName;do{var a=/([\w\s\*\/\^\-\+\(\)\[\],<>=!]+)<\/value>/;b=a.exec(d);if(b!=null){this.board.algebra.findDependencies(this,b[1]);d=d.substr(b.index);d=d.replace(a,"")}}while(b!=null)};JXG.createText=function(a,d,b){return new JXG.Text(a,d[d.length-1],null,d,b.id,b.name,b.digits,false)};JXG.JSXGraph.registerElement("text",JXG.createText);JXG.Image=function(f,e,h,b,g,j,a,d){this.type=JXG.OBJECT_TYPE_IMAGE;this.elementClass=JXG.OBJECT_CLASS_OTHER;this.transformations=[];this.init(f,j,a);this.coords=new JXG.Coords(JXG.COORDS_BY_USER,h,this.board);this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,h,this.board);this.size=[b[0]*f.zoomX*f.unitX,b[1]*f.zoomY*f.unitY];this.imageBase64String=e;this.displayLevel=g;this.parent=d;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&&(typeof o[0]=="number")){k=o;q=[];for(f=0;f1){if(e.length==3){var f=this.evalParam(1);var h=this.evalParam(2)}else{var f=e[1].X();var h=e[1].Y()}this.matrix[1][0]=f*(1-Math.cos(g))+h*Math.sin(g);this.matrix[2][0]=h*(1-Math.cos(g))-f*Math.sin(g)}}}else{if(b=="shear"){this.evalParam=JXG.createEvalFunction(d,e,1);this.update=function(){var f=this.evalParam(0);this.matrix[1][1]=Math.tan(f)}}else{if(b=="generic"){this.evalParam=JXG.createEvalFunction(d,e,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;a=8192){this.curve=this.board.createElement("curve",[[this.pos[0]],[this.pos[1]]],this.attributes);this.objects.push(this.curve)}}this.pos[0]+=d;this.pos[1]+=b;if(this.isPenDown){this.curve.dataX.push(this.pos[0]);this.curve.dataY.push(this.pos[1])}this.board.update();return this};JXG.Turtle.prototype.back=function(a){return this.forward(-a)};JXG.Turtle.prototype.right=function(b){this.dir-=b;this.dir%=360;if(!this.turtleIsHidden){var a=this.board.createElement("transform",[-b*Math.PI/180,this.turtle],{type:"rotate"});a.applyOnce(this.turtle2)}this.board.update();return this};JXG.Turtle.prototype.left=function(a){return this.right(-a)};JXG.Turtle.prototype.penUp=function(){this.isPenDown=false;return this};JXG.Turtle.prototype.penDown=function(){this.isPenDown=true;this.curve=this.board.createElement("curve",[[this.pos[0]],[this.pos[1]]],this.attributes);this.objects.push(this.curve);return this};JXG.Turtle.prototype.clean=function(){for(var a=0;a0)?1:-1;if(Math.abs(h-b)>1e-7){d=Math.atan((e-a)/(h-b))+((g<0)?Math.PI:0)}else{d=((e-a>0)?0.5:-0.5)*Math.PI}this.right(this.dir-(d*180/Math.PI))}else{if(JXG.IsNumber(f)){this.right(this.dir-(f))}}return this};JXG.Turtle.prototype.moveTo=function(e){if(JXG.IsArray(e)){var b=e[0]-this.pos[0];var a=e[1]-this.pos[1];if(!this.turtleIsHidden){var d=this.board.createElement("transform",[b,a],{type:"translate"});d.applyOnce(this.turtle);d.applyOnce(this.turtle2)}if(this.isPenDown){if(this.curve.dataX.length>=8192){this.curve=this.board.createElement("curve",[[this.pos[0]],[this.pos[1]]],this.attributes);this.objects.push(this.curve)}}this.pos[0]=e[0];this.pos[1]=e[1];if(this.isPenDown){this.curve.dataX.push(this.pos[0]);this.curve.dataY.push(this.pos[1])}this.board.update()}return this};JXG.Turtle.prototype.fd=function(a){return this.forward(a)};JXG.Turtle.prototype.bk=function(a){return this.back(a)};JXG.Turtle.prototype.lt=function(a){return this.left(a)};JXG.Turtle.prototype.rt=function(a){return this.right(a)};JXG.Turtle.prototype.pu=function(){return this.penUp()};JXG.Turtle.prototype.pd=function(){return this.penDown()};JXG.Turtle.prototype.ht=function(){return this.hideTurtle()};JXG.Turtle.prototype.st=function(){return this.showTurtle()};JXG.Turtle.prototype.cs=function(){return this.clearScreen()};JXG.Turtle.prototype.push=function(){return this.pushTurtle()};JXG.Turtle.prototype.pop=function(){return this.popTurtle()};JXG.Turtle.prototype.X=function(a){return this.pos[0]};JXG.Turtle.prototype.Y=function(a){return this.pos[1]};JXG.Turtle.prototype.hasPoint=function(a,e){var b,d;for(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 e=this.r.toString(16);var d=this.g.toString(16);var a=this.b.toString(16);if(e.length==1){e="0"+e}if(d.length==1){d="0"+d}if(a.length==1){a="0"+a}return"#"+e+d+a};JXG.hsv2rgb=function(u,h,g){var j,v,d,o,k,e,b,a,w;u=((u%360)+360)%360;if(h==0){if(isNaN(u)){j=g;v=g;d=g}else{return"#000000"}}else{if(u>=360){e=0}else{e=u}e=e/60;k=Math.floor(e);o=e-k;b=g*(1-h);a=g*(1-(h*o));w=g*(1-(h*(1-o)));switch(k){case 0:j=g;v=w;d=b;break;case 1:j=a;v=g;d=b;break;case 2:j=b;v=g;d=w;break;case 3:j=b;v=a;d=g;break;case 4:j=w;v=b;d=g;break;case 5:j=g;v=b;d=a;break}}j=Math.round(j*255).toString(16);j=(j.length==0)?"00":((j.length==1)?"0"+j:j);v=Math.round(v*255).toString(16);v=(v.length==0)?"00":((v.length==1)?"0"+v:v);d=Math.round(d*255).toString(16);d=(d.length==0)?"00":((d.length==1)?"0"+d:d);return"#"+j+v+d};JXG.Board=function(a,g,b,q,o,k,j,h,d,e,f){this.BOARD_MODE_NONE=0;this.BOARD_MODE_DRAG=1;this.BOARD_MODE_CONSTRUCT=16;this.BOARD_MODE_MOVE_ORIGIN=2;this.BOARD_QUALITY_LOW=1;this.BOARD_QUALITY_HIGH=2;this.CONSTRUCTION_TYPE_POINT=1129599060;this.CONSTRUCTION_TYPE_CIRCLE=1129595724;this.CONSTRUCTION_TYPE_LINE=1129598030;this.CONSTRUCTION_TYPE_GLIDER=1129596740;this.CONSTRUCTION_TYPE_MIDPOINT=1129598288;this.CONSTRUCTION_TYPE_PERPENDICULAR=1129599044;this.CONSTRUCTION_TYPE_PARALLEL=1129599052;this.CONSTRUCTION_TYPE_INTERSECTION=1129597267;this.container=a;this.containerObj=document.getElementById(this.container);this.renderer=g;this.options=new JXG.Options();this.dimension=2;this.origin={};this.origin.usrCoords=[1,0,0];this.origin.scrCoords=[1,q[0],q[1]];this.zoomX=o;this.zoomY=k;this.unitX=j;this.unitY=h;this.canvasWidth=d;this.canvasHeight=e;this.fontSize=this.options.fontSize;this.algebra=new JXG.Algebra(this);this.mathStatistics=new JXG.MathStatistics();if((b!="")&&(b!=null)&&(typeof document.getElementById(b)!="undefined")){this.id=b}else{this.id=this.generateId()}this.hooks=[];this.objects={};this.highlightedObjects={};this.numObjects=0;this.elementsByName={};this.mode=this.BOARD_MODE_NONE;this.updateQuality=this.BOARD_QUALITY_HIGH;this.isSuspendedRedraw=false;this.snapToGrid=this.options.grid.snapToGrid;this.gridX=this.options.grid.gridX;this.gridY=this.options.grid.gridY;this.gridColor=this.options.grid.gridColor;this.gridOpacity=this.options.grid.gridOpacity;this.gridDash=this.options.grid.gridDash;this.snapSizeX=this.options.grid.snapSizeX;this.snapSizeY=this.options.grid.snapSizeY;this.calculateSnapSizes();this.hasGrid=this.options.grid.hasGrid;this.drag_dx=0;this.drag_dy=0;this.drag_obj=null;this.xmlString="";if((f!=null&&f)||(f==null&&this.options.showCopyright)){this.renderer.displayCopyright(JXG.JSXGraph.licenseText,this.options.fontSize)}this.needsFullUpdate=false;this.reducedUpdate=false;this.geonextCompatibilityMode=false;JXG.addEvent(document,"mousedown",this.mouseDownListener,this);JXG.addEvent(this.containerObj,"mousemove",this.mouseMoveListener,this)};JXG.Board.prototype.generateName=function(d){if(d.type==JXG.OBJECT_TYPE_TICKS){return}var k;if(d.elementClass==JXG.OBJECT_CLASS_POINT){k=["","A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"]}else{k=["","a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z"]}var f=3;var b="";var q="";var o="";if(d.elementClass==JXG.OBJECT_CLASS_POINT||d.elementClass==JXG.OBJECT_CLASS_LINE){}else{if(d.type==JXG.OBJECT_TYPE_POLYGON){b="P_{";o="}"}else{if(d.type==JXG.OBJECT_TYPE_CIRCLE){b="k_{";o="}"}else{if(d.type==JXG.OBJECT_TYPE_ANGLE){b="W_{";o="}"}else{b="s_{";o="}"}}}}var u=[];var a="";var h="";var g=0;var e=0;for(g=0;g0;g--){a+=k[u[g-1]]}if(this.elementsByName[a+o]==null){return a+o}}u[0]=k.length;for(g=1;g0.1){a=b.coords.usrCoords[1].toFixed(2)}else{if(a>=0.01){a=b.coords.usrCoords[1].toFixed(4)}else{if(a>=0.0001){a=b.coords.usrCoords[1].toFixed(6)}else{a=b.coords.usrCoords[1]}}}d=Math.abs(b.coords.usrCoords[2]);if(d>0.1){d=b.coords.usrCoords[2].toFixed(2)}else{if(d>=0.01){d=b.coords.usrCoords[2].toFixed(4)}else{if(d>=0.0001){d=b.coords.usrCoords[2].toFixed(6)}else{d=b.coords.usrCoords[2]}}}this.infobox.setText('('+a+", "+d+")");this.renderer.show(this.infobox);this.renderer.updateText(this.infobox)}};JXG.Board.prototype.dehighlightAll=function(){for(var a in this.highlightedObjects){this.renderer.noHighlight(this.highlightedObjects[a])}this.highlightedObjects={}};JXG.Board.prototype.getScrCoordsOfMouse=function(a,d){if(this.snapToGrid){var b=new JXG.Coords(JXG.COORDS_BY_SCREEN,[a,d],this);b.setCoordinates(JXG.COORDS_BY_USER,[Math.round((b.usrCoords[1])*this.snapSizeX)/this.snapSizeX,Math.round((b.usrCoords[2])*this.snapSizeY)/this.snapSizeY]);return[b.scrCoords[1],b.scrCoords[2]]}else{return[a,d]}};JXG.Board.prototype.getUsrCoordsOfMouse=function(f){var d=this.getRelativeMouseCoordinates(f);var b=JXG.getPosition(f);var a=b[0]-d[0];var g=b[1]-d[1];var e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[a,g],this);if(this.snapToGrid){e.setCoordinates(JXG.COORDS_BY_USER,[Math.round((e.usrCoords[1])*this.snapSizeX)/this.snapSizeX,Math.round((e.usrCoords[2])*this.snapSizeY)/this.snapSizeY])}return[e.usrCoords[1],e.usrCoords[2]]};JXG.Board.prototype.getAllUnderMouse=function(b){var a=this.getAllObjectsUnderMouse(b);a.push(this.getUsrCoordsOfMouse(b));return a};JXG.Board.prototype.getAllObjectsUnderMouse=function(h){var g=this.getRelativeMouseCoordinates(h);var a=JXG.getPosition(h);var d=a[0]-g[0];var b=a[1]-g[1];var e=[];for(var f in this.objects){if(this.objects[f].visProp.visible&&this.objects[f].hasPoint(d,b)){e.push(this.objects[f])}}return e};JXG.Board.prototype.setBoardMode=function(a){this.mode=a};JXG.Board.prototype.moveOrigin=function(){for(var a in this.objects){if((this.objects[a].elementClass==JXG.OBJECT_CLASS_POINT)||(this.objects[a].type==JXG.OBJECT_TYPE_CURVE)||(this.objects[a].type==JXG.OBJECT_TYPE_AXIS)||(this.objects[a].type==JXG.OBJECT_TYPE_TEXT)){if((this.objects[a].type!=JXG.OBJECT_TYPE_CURVE)&&(this.objects[a].type!=JXG.OBJECT_TYPE_AXIS)){this.objects[a].coords.usr2screen()}}}this.clearTraces();this.fullUpdate();if(this.hasGrid){this.renderer.removeGrid(this);this.renderer.drawGrid(this)}};JXG.Board.prototype.addPoint=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"P"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;this.elementsByName[d.name]=d;d.id=a;if(d.hasLabel){this.addText(d.label.content)}this.renderer.drawPoint(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addLine=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"L"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;d.id=a;this.renderer.drawLine(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addCircle=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"C"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;d.id=a;if(d.hasLabel){this.addText(d.label.content)}this.renderer.drawCircle(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addPolygon=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Py"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;d.id=a;if(d.hasLabel){this.addText(d.label.content)}this.renderer.drawPolygon(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addArc=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Ac"+b}d.id=a;if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;if(d.hasLabel){this.addText(d.label.content)}this.renderer.drawArc(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addSector=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Sc"+b}this.objects[a]=d;d.id=a;return a};JXG.Board.prototype.addAngle=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Ag"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;if(d.hasLabel){this.addText(d.label.content)}this.renderer.drawAngle(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addCurve=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"G"+b}if(d.hasLabel){d.label.content.id=a+"Label"}this.objects[a]=d;if(d.hasLabel){this.addText(d.label.content)}d.id=a;this.renderer.drawCurve(d);if(d.hasLabel){this.renderer.drawText(d.label.content)}if(!d.visProp.visible){this.renderer.hide(d)}if(d.hasLabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}return a};JXG.Board.prototype.addChart=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Chart"+b}this.objects[a]=d;d.id=a;return a};JXG.Board.prototype.addMidpoint=function(h,g,j,b){var e=JXG.GetReferenceFromParameter(this,h);var d=JXG.GetReferenceFromParameter(this,g);var a=this.algebra.midpoint(e,d).usrCoords.slice(1);var f=new JXG.Point(this,a,j,b,true);f.fixed=true;e.addChild(f);d.addChild(f);f.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.midpoint(e,d);this.label.content.update();if(this.traced){this.cloneToBackground(true)}}};return f};JXG.Board.prototype.addReflection=function(e,d,j,g){var f=JXG.GetReferenceFromParameter(this,d);var b=JXG.GetReferenceFromParameter(this,e);var a=this.algebra.reflection(b,f).usrCoords.slice(1);var h=new JXG.Point(this,a,j,g,true);h.fixed=true;f.addChild(h);b.addChild(h);h.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.reflection(b,f);this.label.content.update();if(this.traced){this.cloneToBackground(true)}}};return h};JXG.Board.prototype.addRotation=function(a,k,j,e,b){var f=JXG.GetReferenceFromParameter(this,k);var h=JXG.GetReferenceFromParameter(this,a);var g=this.algebra.rotation(h,f,j).usrCoords.slice(1);var d=new JXG.Point(this,g,e,b,true);d.fixed=true;f.addChild(d);h.addChild(d);d.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.rotation(h,f,j);this.label.content.update();this.needsUpdate=false;if(this.traced){this.cloneToBackground(true)}}};return d};JXG.Board.prototype.addParallel=function(e,d,b,a){var k=JXG.GetReferenceFromParameter(this,d);var o=JXG.GetReferenceFromParameter(this,e);var f=this.numObjects;f++;if((b=="")||(b==null)){b=this.id+"L"+f}var h=this.algebra.parallel(o.point1,o.point2,k).usrCoords.slice(1);var j=new JXG.Point(this,h,b+"P2",a+"P2",false);j.fixed=true;k.addChild(j);var g=new JXG.Line(this,k.id,j.id,b,a);g.update=function(){if(this.needsUpdate){this.point2.coords=this.board.algebra.parallel(o.point1,o.point2,k);this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};return g};JXG.Board.prototype.addArrowParallel=function(o,b,u,f,g,h){var v=JXG.GetReferenceFromParameter(this,b);var q=JXG.GetReferenceFromParameter(this,o);var d=this.numObjects;d++;if((u=="")||(u==null)){u=this.id+"A"+d}d++;if((f=="")||(f==null)){f=this.id+"P"+d}var j=this.algebra.parallel(q.point1,q.point2,v).usrCoords.slice(1);var k=new JXG.Point(this,j,f,h,true);k.fixed=true;v.addChild(k);q.addChild(k);var e=new JXG.Line(this,v.id,k.id,u,g);e.setStraight(false,false);e.setArrow(false,true);e.update=function(){if(this.needsUpdate){this.point2.coords=this.board.algebra.parallel(q.point1,q.point2,v);this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};k.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.parallel(q.point1,q.point2,v);if(this.label.content.visProp.visible){this.label.content.update()}if(this.traced){this.cloneToBackground(true)}}};return[e,k]};JXG.Board.prototype.addParallelPoint=function(h,g,f,j,a){var e=this.numObjects;e++;if((j=="")||(j==null)){j=this.id+"P"+e}h=JXG.GetReferenceFromParameter(this,h);g=JXG.GetReferenceFromParameter(this,g);f=JXG.GetReferenceFromParameter(this,f);var d=this.algebra.parallel(h,g,f).usrCoords.slice(1);var b=new JXG.Point(this,d,j,a,true);b.fixed=true;h.addChild(b);f.addChild(b);if(h.type==JXG.OBJECT_TYPE_POINT){g.addChild(b)}b.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.parallel(h,g,f);this.label.content.update();if(this.traced){this.cloneToBackground(true)}}};return b};JXG.Board.prototype.addArrow=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"A"+b}this.objects[a]=d;d.id=a;this.renderer.drawArrow(d);return a};JXG.Board.prototype.addNormal=function(f,d,b,a){var o=JXG.GetReferenceFromParameter(this,d);var q=JXG.GetReferenceFromParameter(this,f);var g=this.numObjects;g++;if((b=="")||(b==null)){b=this.id+"L"+g}var k=this.algebra.perpendicular(q,o);var h=k[0].usrCoords.slice(1);var j=new JXG.Point(this,h,b+"P2","",false);j.fixed=true;o.addChild(j);q.addChild(j);var e;if(k[1]){e=new JXG.Line(this,j.id,o.id,b,a)}else{e=new JXG.Line(this,o.id,j.id,b,a)}e.changed=k[1];e.update=function(){if(this.needsUpdate){var v=this.board.algebra.perpendicular(q,o);j.coords=v[0];if(this.changed!=v[1]){var u=this.point1;this.point1=this.point2;this.point2=u}this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};return e};JXG.Board.prototype.addPerpendicular=function(e,a,o,g,h,b){var u=JXG.GetReferenceFromParameter(this,a);var v=JXG.GetReferenceFromParameter(this,e);var f=this.numObjects;f++;if((o=="")||(o==null)){o=this.id+"L"+f}f++;if((h=="")||(h==null)){h=this.id+"P"+f}var q=this.algebra.perpendicular(v,u);var j=q[0].usrCoords.slice(1);var k=new JXG.Point(this,j,h,b,true);k.fixed=true;u.addChild(k);v.addChild(k);var d;if(q[1]){d=new JXG.Line(this,k.id,u.id,o,g)}else{d=new JXG.Line(this,u.id,k.id,o,g)}d.setStraight(false,false);d.changed=q[1];d.update=function(){if(this.needsUpdate){var x=this.board.algebra.perpendicular(v,u);k.coords=x[0];if(this.changed!=x[1]){var w=this.point1;this.point1=this.point2;this.point2=w}this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};return[d,k]};JXG.Board.prototype.addPerpendicularPoint=function(d,a,f,b){var j=JXG.GetReferenceFromParameter(this,a);var k=JXG.GetReferenceFromParameter(this,d);var e=this.numObjects;e++;if((f=="")||(f==null)){f=this.id+"P"+e}var g=this.algebra.perpendicular(k,j)[0].usrCoords.slice(1);var h=new JXG.Point(this,g,f,b,true);h.fixed=true;j.addChild(h);k.addChild(h);h.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.perpendicular(k,j)[0];this.label.content.update();if(this.traced){this.cloneToBackground(true)}}};return h};JXG.Board.prototype.addCircumcenter=function(j,f,e,g,h,d,a){var q=JXG.GetReferenceFromParameter(this,j);var o=JXG.GetReferenceFromParameter(this,f);var k=JXG.GetReferenceFromParameter(this,e);var b=this.algebra.circumcenterMidpoint(q,o,k);var v=new JXG.Point(this,b.usrCoords.slice(1),g,h,true);v.fixed=true;q.addChild(v);o.addChild(v);k.addChild(v);var u=new JXG.Circle(this,"pointRadius",v.id,function(){return this.midpoint.coords.distance(JXG.COORDS_BY_USER,q.coords)},d,a);q.addChild(u);o.addChild(u);k.addChild(u);v.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.circumcenterMidpoint(q,o,k);if(this.label.content.visProp.visible){this.label.content.update()}if(this.traced){this.cloneToBackground(true)}}};u.update=function(){if(this.needsUpdate){this.updateRadius();this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};return[v,u]};JXG.Board.prototype.addCircumcenterMidpoint=function(g,d,b,e,f){var k=JXG.GetReferenceFromParameter(this,g);var j=JXG.GetReferenceFromParameter(this,d);var h=JXG.GetReferenceFromParameter(this,b);var a=this.algebra.circumcenterMidpoint(k,j,h).usrCoords.slice(1);var o=new JXG.Point(this,a,e,f,true);o.fixed=true;k.addChild(o);j.addChild(o);h.addChild(o);o.update=function(){if(this.needsUpdate){this.coords=this.board.algebra.circumcenterMidpoint(k,j,h);if(this.label.content.visProp.visible){this.label.content.update()}if(this.traced){this.cloneToBackground(true)}}};return o};JXG.Board.prototype.addIntersection=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"I"+b}this.objects[a]=d;d.id=a;d.intersect1.addChild(d);d.intersect2.addChild(d);return a};JXG.Board.prototype.addAngleBisector=function(u,q,o,b,a){var j=JXG.GetReferenceFromParameter(this,u);var g=JXG.GetReferenceFromParameter(this,q);var e=JXG.GetReferenceFromParameter(this,o);var d=this.numObjects;d++;if((b=="")||(b==null)){b=this.id+"L"+d}var h=this.algebra.angleBisector(j,g,e).usrCoords.slice(1);var k=new JXG.Point(this,h,b+"P2","",false);k.fixed=true;j.addChild(k);g.addChild(k);e.addChild(k);var f=new JXG.Line(this,q,k.id,b,a);f.setStraight(false,true);f.update=function(){if(this.needsUpdate){this.point2.coords=this.board.algebra.angleBisector(j,g,e);this.updateStdform();if(this.traced){this.cloneToBackground(true)}}};return f};JXG.Board.prototype.addText=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"T"+b}this.objects[a]=d;d.id=a;if(!d.isLabel){this.renderer.drawText(d);if(!d.visProp.visible){this.renderer.hide(d)}}return a};JXG.Board.prototype.addConditions=function(q){var o=null;var b="var el,x,y,c;\n";var k=q.indexOf("");var h=q.indexOf("");if(k<0){return}while(k>=0){var g=q.slice(k+6,h);var f=g.indexOf("=");var e=g.slice(0,f);var v=g.slice(f+1);f=e.indexOf(".");var a=e.slice(0,f);var d=this.elementsByName[JXG.unescapeHTML(a)];var u=e.slice(f+1).replace(/\s+/g,"").toLowerCase();v=this.algebra.geonext2JS(v);v=v.replace(/this\.board\./g,"this.");if(typeof this.elementsByName[a]=="undefined"){alert("debug conditions: |"+a+"| undefined")}b+='el = this.objects["'+d.id+'"];\n';switch(u){case"x":b+="y=el.coords.usrCoords[2];\n";b+="el.setPositionDirectly(JXG.COORDS_BY_USER,"+(v)+",y);\n";b+="el.update();\n";break;case"y":b+="x=el.coords.usrCoords[1];\n";b+="el.coords=new JXG.Coords(JXG.COORDS_BY_USER,[x,"+(v)+"],this);\n";break;case"visible":b+="c="+(v)+";\n";b+="if (c) {el.showElement();} else {el.hideElement();}\n";break;case"position":b+="el.position = "+(v)+";\n";b+="el.update();\n";break;case"stroke":b+="el.strokeColor = "+(v)+";\n";break;case"strokewidth":b+="el.strokeWidth = "+(v)+";\n";break;case"label":break;default:alert("property '"+u+"' in conditions not implemented:"+v);break}q=q.slice(h+7);k=q.indexOf("");h=q.indexOf("")}b+="this.prepareUpdate();\n";b+="this.updateElements();\n";b+="return true;\n";this.updateConditions=new Function(b);this.updateConditions()};JXG.Board.prototype.updateConditions=function(){return false};JXG.Board.prototype.addImage=function(d){var b=this.numObjects;this.numObjects++;var a=d.id;if((a=="")||(a==null)){a=this.id+"Im"+b}this.objects[a]=d;this.elementsByName[d.name]=d;d.id=a;this.renderer.drawImage(d);if(!d.visProp.visible){this.renderer.hide(d)}return a};JXG.Board.prototype.addIntegral=function(f,h,a,v,u){if(!JXG.IsArray(a)||(a.length!=5)){a=["","","","",""]}if(!JXG.IsArray(v)||(v.length!=5)){v=["","","","",""]}var y=[];var b={};if((typeof u!="undefined")&&(u!=null)){b=u}b.name=v[0];b.id=a[0];b.slideObject=h;var e=0;if(f[0]>h.points[0].usrCoords[1]){e=f[0]}else{e=h.points[0].usrCoords[1]}var w=board.createElement("point",[e,h.yterm(e)],b);b.name=v[1];b.id=a[1];b.visible=false;b.slideObject=null;var x=board.createElement("point",[function(){return w.X()},0],b);y.push(x);y.push(w);w.addChild(x);var k;for(var o=0;o25){this.snapSizeX*=2;a/=2}this.snapSizeY=this.gridY;while(Math.abs(e)>25){this.snapSizeY*=2;e/=2}};JXG.Board.prototype.applyZoom=function(){this.updateQuality=this.BOARD_QUALITY_HIGH;for(var a in this.objects){if((this.objects[a].elementClass==JXG.OBJECT_CLASS_POINT)||(this.objects[a].type==JXG.OBJECT_TYPE_CURVE)||(this.objects[a].type==JXG.OBJECT_TYPE_AXIS)||(this.objects[a].type==JXG.OBJECT_TYPE_TEXT)){if((this.objects[a].type!=JXG.OBJECT_TYPE_CURVE)&&(this.objects[a].type!=JXG.OBJECT_TYPE_AXIS)){this.objects[a].coords.usr2screen()}}}this.calculateSnapSizes();this.clearTraces();this.fullUpdate();if(this.hasGrid){this.renderer.removeGrid(this);this.renderer.drawGrid(this)}};JXG.Board.prototype.zoomIn=function(){this.zoomX*=this.options.zoom.factor;this.zoomY*=this.options.zoom.factor;this.applyZoom()};JXG.Board.prototype.zoomOut=function(){this.zoomX/=this.options.zoom.factor;this.zoomY/=this.options.zoom.factor;this.applyZoom()};JXG.Board.prototype.zoom100=function(){this.zoomX=1;this.zoomY=1;this.applyZoom()};JXG.Board.prototype.zoomAllPoints=function(){var q=this.zoomX/this.zoomY;var j=0;var e=0;var h=0;var b=0;for(var g in this.objects){if((this.objects[g].elementClass==JXG.OBJECT_CLASS_POINT)&&this.objects[g].visProp.visible){if(this.objects[g].coords.usrCoords[1]e){e=this.objects[g].coords.usrCoords[1]}if(this.objects[g].coords.usrCoords[2]>b){b=this.objects[g].coords.usrCoords[2]}if(this.objects[g].coords.usrCoords[2]=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("
"+JXG.escapeHTML(this.xmlString)+"
");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 d=-1;if(!this.reducedUpdate){d=1}for(var a in this.objects){var e=this.objects[a];if(!this.needsFullUpdate&&!e.needsRegularUpdate&&e.afterFirstUpdate){continue}if(b==null||e.id!=b.id){if(d>=0||!e.afterFirstUpdate||this.needsFullUpdate){e.update(true)}}else{e.update(false);d=5}if(this.reducedUpdate){d--}}};JXG.Board.prototype.updateRenderer=function(b){var b=JXG.GetReferenceFromParameter(this,b);var d=-1;if(!this.reducedUpdate){d=1}for(var a in this.objects){var e=this.objects[a];if(!this.needsFullUpdate&&!e.needsRegularUpdate&&e.afterFirstUpdate){continue}if(b==null||e.id!=b.id){if(d>=0||!e.afterFirstUpdate||this.needsFullUpdate){e.updateRenderer()}}else{e.updateRenderer();d=5}if(this.reducedUpdate){d--}e.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;athis.unitY){this.unitY=this.unitX}else{this.unitX=this.unitY}}else{this.unitX=a/(e[2]-e[0]);this.unitY=d/(-e[3]+e[1])}this.originX=-this.unitX*e[0];this.originY=this.unitY*e[1];this.moveOrigin()};JXG.Options=function(){this.fontSize=12;this.showCopyright=true;this.showNavigation=true;this.grid=new Object();this.grid.hasGrid=false;this.grid.gridX=2;this.grid.gridY=2;this.grid.gridColor="#C0C0C0";this.grid.gridOpacity="0.5";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.drawLabels=true;this.line.ticks.drawZero=false;this.line.ticks.insertTicks=false;this.line.ticks.minTicksDistance=100;this.line.ticks.maxTicksDistance=300;this.line.ticks.minorHeight=4;this.line.ticks.majorHeight=10;this.line.ticks.minorTicks=4;this.line.ticks.defaultDistance=5;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(e){var d=e.hasGrid;e.hasGrid=this.grid.hasGrid;e.gridX=this.grid.gridX;e.gridY=this.grid.gridY;e.gridColor=this.grid.gridColor;e.gridOpacity=this.grid.gridOpacity;e.gridDash=this.grid.gridDash;e.snapToGrid=this.grid.snapToGrid;e.snapSizeX=this.grid.SnapSizeX;e.snapSizeY=this.grid.SnapSizeY;for(var b in e.objects){if(e.objects[b].type==JXG.OBJECT_TYPE_POINT){e.objects[b].visProp.fillColor=this.point.fillColor;e.objects[b].visProp.highlightFillColor=this.point.highlightFillColor;e.objects[b].visProp.strokeColor=this.point.strokeColor;e.objects[b].visProp.highlightStrokeColor=this.point.highlightStrokeColor}else{if(e.objects[b].type==JXG.OBJECT_TYPE_LINE){e.objects[b].visProp.fillColor=this.line.fillColor;e.objects[b].visProp.highlightFillColor=this.line.highlightFillColor;e.objects[b].visProp.strokeColor=this.line.strokeColor;e.objects[b].visProp.highlightStrokeColor=this.line.highlightStrokeColor;for(var a in e.objects[b].ticks){a.majorTicks=this.line.ticks.majorTicks;a.minTicksDistance=this.line.ticks.minTicksDistance;a.minorHeight=this.line.ticks.minorHeight;a.majorHeight=this.line.ticks.majorHeight}}else{if(e.objects[b].type==JXG.OBJECT_TYPE_CIRCLE){e.objects[b].visProp.fillColor=this.circle.fillColor;e.objects[b].visProp.highlightFillColor=this.circle.highlightFillColor;e.objects[b].visProp.strokeColor=this.circle.strokeColor;e.objects[b].visProp.highlightStrokeColor=this.circle.highlightStrokeColor}else{if(e.objects[b].type==JXG.OBJECT_TYPE_ANGLE){e.objects[b].visProp.fillColor=this.angle.fillColor;e.objects[b].visProp.highlightFillColor=this.angle.highlightFillColor;e.objects[b].visProp.strokeColor=this.angle.strokeColor}else{if(e.objects[b].type==JXG.OBJECT_TYPE_ARC){e.objects[b].visProp.fillColor=this.arc.fillColor;e.objects[b].visProp.highlightFillColor=this.arc.highlightFillColor;e.objects[b].visProp.strokeColor=this.arc.strokeColor;e.objects[b].visProp.highlightStrokeColor=this.arc.highlightStrokeColor}else{if(e.objects[b].type==JXG.OBJECT_TYPE_POLYGON){e.objects[b].visProp.fillColor=this.polygon.fillColor;e.objects[b].visProp.highlightFillColor=this.polygon.highlightFillColor;e.objects[b].visProp.fillOpacity=this.polygon.fillOpacity;e.objects[b].visProp.highlightFillOpacity=this.polygon.highlightFillOpacity}else{if(e.objects[b].type==JXG.OBJECT_TYPE_CURVE){e.objects[b].visProp.strokeColor=this.curve.strokeColor}}}}}}}}for(var b in e.objects){if(e.objects[b].type==JXG.OBJECT_TYPE_SECTOR){e.objects[b].arc.visProp.fillColor=this.sector.fillColor;e.objects[b].arc.visProp.highlightFillColor=this.sector.highlightFillColor;e.objects[b].arc.visProp.fillOpacity=this.sector.fillOpacity;e.objects[b].arc.visProp.highlightFillOpacity=this.sector.highlightFillOpacity}}e.needsFullUpdate=true;e.update();e.needsFullUpdate=false;if(d&&e.hasGrid){e.renderer.removeGrid(e);e.renderer.drawGrid(e)}else{if(d&&!e.hasGrid){e.renderer.removeGrid(e)}else{if(!d&&e.hasGrid){e.renderer.drawGrid(e)}}}};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(e){if(e=="none"){return e}var f=new JXG.RGBColor(e);var k=f.r;var j=f.g;var d=f.b;var a=0.3*k+0.59*j+0.11*d;var o="0123456789ABCDEF";var h=o.charAt((a>>4)&15)+o.charAt(a&15);e="#"+h+""+h+""+h;return e};JXG.Options.prototype.loadFromFile=function(b,d,a){this.cbp=function(e){this.parseString(e,d,a)};this.cb=JXG.bind(this.cbp,this);JXG.FileReader.parseFileContent(b,this.cb,"raw")};JXG.Options.prototype.parseString=function(text,applyTo,board){var newOptions="";if(text!=""){newOptions=eval("("+text+")")}else{return}var maxDepth=10;var applyOption=function(base,option,depth){if(depth==10){return}depth++;for(var key in option){if((JXG.IsNumber(option[key]))||(JXG.IsArray(option[key]))||(JXG.IsString(option[key]))||(option[key]==true)||(option[key]==false)){base[key]=option[key]}else{applyOption(base[key],option[key],depth)}}};applyOption(this,newOptions,0);if(applyTo&&typeof board!="undefined"){this.useStandardOptions(board)}};JXG.Board.prototype.angle=function(a,d,b){return this.algebra.angle(a,d,b)};JXG.Board.prototype.rad=function(a,d,b){return this.algebra.rad(a,d,b)};JXG.Board.prototype.distance=function(b,a){return this.algebra.distance(b,a)};JXG.Board.prototype.pow=function(e,d){return this.algebra.pow(e,d)};JXG.Board.prototype.round=function(a,b){return(a).toFixed(b)};JXG.Board.prototype.cosh=function(a){return JXG.Math.Numerics.cosh(a)};JXG.Board.prototype.sinh=function(a){return JXG.Math.Numerics.sinh(a)};JXG.Board.prototype.sgn=function(a){return(a==0?0:a/(Math.abs(a)))};JXG.Board.prototype.D=function(a,b){return JXG.Math.Numerics.D(a,b)};JXG.Board.prototype.I=function(a,b){return JXG.Math.Numerics.I(a,b)};JXG.Board.prototype.root=function(b,a,d){return JXG.Math.Numerics.root(b,a,d)};JXG.Board.prototype.lagrangePolynomial=function(a){return JXG.Math.Numerics.lagrangePolynomial(a)};JXG.Board.prototype.neville=function(a){return JXG.Math.Numerics.neville(a)};JXG.Board.prototype.riemannsum=function(d,g,b,e,a){return JXG.Math.Numerics.riemannsum(d,g,b,e,a)};JXG.Board.prototype.abs=Math.abs;JXG.Board.prototype.acos=Math.acos;JXG.Board.prototype.asin=Math.asin;JXG.Board.prototype.atan=Math.atan;JXG.Board.prototype.ceil=Math.ceil;JXG.Board.prototype.cos=Math.cos;JXG.Board.prototype.exp=Math.exp;JXG.Board.prototype.floor=Math.floor;JXG.Board.prototype.log=Math.log;JXG.Board.prototype.max=Math.max;JXG.Board.prototype.min=Math.min;JXG.Board.prototype.random=Math.random;JXG.Board.prototype.sin=Math.sin;JXG.Board.prototype.sqrt=Math.sqrt;JXG.Board.prototype.tan=Math.tan;JXG.Board.prototype.trunc=Math.ceil;JXG.Board.prototype.factorial=function(a){return JXG.Math.factorial(a)};JXG.Board.prototype.binomial=function(b,a){return JXG.Math.binomial(b,a)};JXG.Point.prototype.setPositionX=function(d,a){var b=(d==JXG.COORDS_BY_USER)?this.coords.usrCoords[2]:this.coords.scrCoords[2];this.setPosition(d,a,b)};JXG.Point.prototype.setPositionY=function(d,b){var a=(d==JXG.COORDS_BY_USER)?this.coords.usrCoords[1]:this.coords.scrCoords[1];this.setPosition(d,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.intersection=function(e,b,d,a){e=JXG.GetReferenceFromParameter(this,e);b=JXG.GetReferenceFromParameter(this,b);if(e.elementClass==JXG.OBJECT_CLASS_CURVE||b.elementClass==JXG.OBJECT_CLASS_CURVE){return function(){return e.board.algebra.meetCurveCurve(e,b,d,a)}}else{return function(){return e.board.algebra.meet(e.stdform,b.stdform,d)}}};JXG.Board.prototype.intersectionFunc=function(e,b,d,a){return this.intersection(e,b,d,a)};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.Board.prototype.pstricks={};JXG.Board.prototype.pstricks.givePsTricksToDiv=function(a,b){JXG.PsTricks.givePsTricksToDiv(a,b)};JXG.Ticks=function(a,f,e,g,b,h,d){this.constructor();this.type=JXG.OBJECT_TYPE_TICKS;this.elementClass=JXG.OBJECT_CLASS_OTHER;this.line=a;this.board=this.line.board;this.ticksFunction=null;this.fixedTicks=null;this.equidistant=false;if(JXG.IsFunction(f)){this.ticksFunction=f}else{if(JXG.IsArray(f)){this.fixedTicks=f}else{if(Math.abs(f)=this.board.sgn(N)*d.usrCoords[1])&&(this.board.sgn(M)*(A-I*M)>=this.board.sgn(M)*d.usrCoords[2])))){o=false;B=B-N;A=A-M;f=new JXG.Coords(JXG.COORDS_BY_USER,[B,A],this.board);if(!this.equidistant){G=(v.scrCoords[1]-f.scrCoords[1])*(v.scrCoords[1]-f.scrCoords[1])+(v.scrCoords[2]-f.scrCoords[2])*(v.scrCoords[2]-f.scrCoords[2])}if(this.insertTicks&&this.equidistant&&(G>this.maxTicksDistance*this.maxTicksDistance)){while(G>this.maxTicksDistance*this.maxTicksDistance){N=N/2;M=M/2;B=B+N;A=A+M;K=K/2;O=O-L*K;f=new JXG.Coords(JXG.COORDS_BY_USER,[B,A],this.board);G=(v.scrCoords[1]-f.scrCoords[1])*(v.scrCoords[1]-f.scrCoords[1])+(v.scrCoords[2]-f.scrCoords[2])*(v.scrCoords[2]-f.scrCoords[2])}}if(this.equidistant){for(var w=1;wthis.minTicksDistance*this.minTicksDistance)){f.major=true;this.ticks.push(f);q=O.toString();if(q.length>5){q=O.toPrecision(3).toString()}u=new JXG.Text(this.board,q,null,[f.usrCoords[1],f.usrCoords[2]],this.id+J+"Label",null,null,true);u.distanceX=0;u.distanceY=-10;u.setCoords(f.usrCoords[1]*1+u.distanceX/(this.board.unitX*this.board.zoomX),f.usrCoords[2]*1+u.distanceY/(this.board.unitY*this.board.zoomY));if(this.drawLabels){u.visProp.visible=true}else{u.visProp.visible=false}this.labels.push(u);k=B;j=A;v=f}J=J+L*1;if(!this.equidistant){K=Math.abs(this.ticksFunction(J))}O=O+L*K;if(!this.equidistant){N=(K*E)/(h);M=(K*C)/(h)}}};JXG.Ticks.prototype.calculateTicksCoordinates=function(){var D=1;var x=2;var y=D+x;var E=new JXG.Coords(JXG.COORDS_BY_USER,[this.line.point1.coords.usrCoords[1],this.line.point1.coords.usrCoords[2]],this.board);var C=new JXG.Coords(JXG.COORDS_BY_USER,[this.line.point2.coords.usrCoords[1],this.line.point2.coords.usrCoords[2]],this.board);this.board.renderer.calcStraight(this.line,E,C);var b=this.line.point1.coords;if(this.board.renderer.isSameDirection(b,E,C)){if(this.board.renderer.isSameDirection(b,this.line.point2.coords,E)){y=x;if(b.distance(JXG.COORDS_BY_USER,E)>b.distance(JXG.COORDS_BY_USER,C)){C=E}}else{y=D;if(b.distance(JXG.COORDS_BY_USER,E)5){k=this.fixedTicks[H].toFixed(3).toString()}q=new JXG.Text(this.board,k,null,[b.usrCoords[1]+J,b.usrCoords[2]+I],this.id+H+"Label",null,null,true);q.distanceX=0;q.distanceY=-10;q.setCoords(f.usrCoords[1]*1+q.distanceX/(this.board.unitX*this.board.zoomX),f.usrCoords[2]*1+q.distanceY/(this.board.unitY*this.board.zoomY));if(this.drawLabels){q.visProp.visible=true}else{q.visProp.visible=false}this.labels.push(q)}}}var A=JXG.Math.eps;var w=-this.line.getSlope();var z=this.majorHeight/2;var e=this.minorHeight/2;var K=0;var a=0;var B=0;var F=0;if(Math.abs(w)1/A)||(isNaN(w))){K=z;a=0;B=e;F=0}else{K=z/Math.sqrt(1/(w*w)+1);a=-K/w;B=e/Math.sqrt(1/(w*w)+1);F=-B/w}}this.board.renderer.updateTicks(this,K,a,B,F)};JXG.Ticks.prototype.updateRenderer=function(){if(this.needsUpdate){this.calculateTicksCoordinates();this.needsUpdate=false}};JXG.createTicks=function(e,b,a){var d;if((b[0].elementClass==JXG.OBJECT_CLASS_LINE)&&(JXG.IsFunction(b[1])||JXG.IsArray(b[1])||JXG.IsNumber(b[1]))){d=new JXG.Ticks(b[0],b[1],a.minorTicks,a.majHeight,a.minHeight,a.id,a.name)}else{throw ("Can't create Ticks with parent types '"+(typeof b[0])+"' and '"+(typeof b[1])+"' and '"+(typeof b[2])+"'.")}return d};JXG.JSXGraph.registerElement("ticks",JXG.createTicks);JXG.Util={};JXG.Util.Unzip=function(Z){var v=[];var M="";var K=false;var H;var N=0;var W=[];var z;var j=new Array(32768);var ae=0;var R=false;var ab,O;var ad=[0,128,64,192,32,160,96,224,16,144,80,208,48,176,112,240,8,136,72,200,40,168,104,232,24,152,88,216,56,184,120,248,4,132,68,196,36,164,100,228,20,148,84,212,52,180,116,244,12,140,76,204,44,172,108,236,28,156,92,220,60,188,124,252,2,130,66,194,34,162,98,226,18,146,82,210,50,178,114,242,10,138,74,202,42,170,106,234,26,154,90,218,58,186,122,250,6,134,70,198,38,166,102,230,22,150,86,214,54,182,118,246,14,142,78,206,46,174,110,238,30,158,94,222,62,190,126,254,1,129,65,193,33,161,97,225,17,145,81,209,49,177,113,241,9,137,73,201,41,169,105,233,25,153,89,217,57,185,121,249,5,133,69,197,37,165,101,229,21,149,85,213,53,181,117,245,13,141,77,205,45,173,109,237,29,157,93,221,61,189,125,253,3,131,67,195,35,163,99,227,19,147,83,211,51,179,115,243,11,139,75,203,43,171,107,235,27,155,91,219,59,187,123,251,7,135,71,199,39,167,103,231,23,151,87,215,55,183,119,247,15,143,79,207,47,175,111,239,31,159,95,223,63,191,127,255];var ah=[3,4,5,6,7,8,9,10,11,13,15,17,19,23,27,31,35,43,51,59,67,83,99,115,131,163,195,227,258,0,0];var Y=[0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,0,99,99];var S=[1,2,3,4,5,7,9,13,17,25,33,49,65,97,129,193,257,385,513,769,1025,1537,2049,3073,4097,6145,8193,12289,16385,24577];var G=[0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13];var w=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15];var D=Z;var b=0;var h=0;var ai=1;var a=0;var ag=256;var g=[];var o;function e(){a+=8;if(b")}return D[b++]}else{return -1}}function x(){ai=1}function ac(){a++;var ak=(ai&1);ai>>=1;if(ai==0){ai=e();ak=(ai&1);ai=(ai>>1)|128}return ak}function aa(ak){var am=0;var al=ak;while(al--){am=(am<<1)|ac()}if(ak){am=ad[am]>>(8-ak)}return am}function d(){ae=0}function E(ak){O++;j[ae++]=ak;v.push(String.fromCharCode(ak));if(ae==32768){ae=0}}function u(){this.b0=0;this.b1=0;this.jump=null;this.jumppos=-1}var f=288;var C=new Array(f);var U=new Array(32);var P=0;var af=null;var y=null;var T=new Array(64);var Q=new Array(64);var F=0;var J=new Array(17);J[0]=0;var V;var B;function k(){while(1){if(J[F]>=B){return -1}if(V[J[F]]==F){return J[F]++}J[F]++}}function L(){var al=af[P];var ak;if(K){document.write("
len:"+F+" treepos:"+P)}if(F==17){return -1}P++;F++;ak=k();if(K){document.write("
IsPat "+ak)}if(ak>=0){al.b0=ak;if(K){document.write("
b0 "+al.b0)}}else{al.b0=32768;if(K){document.write("
b0 "+al.b0)}if(L()){return -1}}ak=k();if(ak>=0){al.b1=ak;if(K){document.write("
b1 "+al.b1)}al.jump=null}else{al.b1=32768;if(K){document.write("
b1 "+al.b1)}al.jump=af[P];al.jumppos=P;if(L()){return -1}}F--;return 0}function q(ao,am,ap,al){var an;if(K){document.write("currentTree "+ao+" numval "+am+" lengths "+ap+" show "+al)}af=ao;P=0;V=ap;B=am;for(an=0;an<17;an++){J[an]=0}F=0;if(L()){if(K){alert("invalid huffman tree\n")}return -1}if(K){document.write("
Tree: "+af.length);for(var ak=0;ak<32;ak++){document.write("Places["+ak+"].b0="+af[ak].b0+"
");document.write("Places["+ak+"].b1="+af[ak].b1+"
")}}return 0}function I(am){var ao=0;var an=am[ao];while(1){var ak=ac();if(K){document.write("b="+ak)}if(ak){if(!(an.b1&32768)){if(K){document.write("ret1")}return an.b1}an=an.jump;for(var al=0;al>1);if(ay>23){ay=(ay<<1)|ac();if(ay>199){ay-=128;ay=(ay<<1)|ac()}else{ay-=48;if(ay>143){ay=ay+136}}}else{ay+=256}if(ay<256){E(ay)}else{if(ay==256){break}else{var aA,au;ay-=256+1;aA=aa(Y[ay])+ah[ay];ay=ad[aa(5)]>>3;if(G[ay]>8){au=aa(8);au|=(aa(G[ay]-8)<<8)}else{au=aa(G[ay])}au+=S[ay];for(ay=0;aydistanceTree");for(var aC=0;aC"+U[aC].b0+" "+U[aC].b1+" "+U[aC].jump+" "+U[aC].jumppos)}}av=am+ar;az=0;var an=-1;if(K){document.write("
n="+av+" bits: "+a+"
")}while(az"+an+" i:"+az+" decode: "+ay+" bits "+a+"
")}if(ay<16){aq[az++]=ay}else{if(ay==16){var aw;ay=3+aa(2);if(az+ay>av){d();return 1}aw=az?aq[az-1]:0;while(ay--){aq[az++]=aw}}else{if(ay==17){ay=3+aa(3)}else{ay=11+aa(7)}if(az+ay>av){d();return 1}while(ay--){aq[az++]=0}}}}for(az=0;azliteralTree")}while(1){ay=I(C);if(ay>=256){var aA,au;ay-=256;if(ay==0){break}ay--;aA=aa(Y[ay])+ah[ay];ay=I(U);if(G[ay]>8){au=aa(8);au|=(aa(G[ay]-8)<<8)}else{au=aa(G[ay])}au+=S[ay];while(aA--){var aB=j[(ae-au)&32767];E(aB)}}else{E(ay)}}}}}}while(!ao);d();x();return 0}JXG.Util.Unzip.prototype.unzipFile=function(ak){this.unzip();for(var al=0;al>2;h=((o&3)<<4)|(j>>4);f=((j&15)<<2)|(g>>6);e=g&63;if(isNaN(j)){f=e=64}else{if(isNaN(g)){e=64}}a=a+this._keyStr.charAt(k)+this._keyStr.charAt(h)+this._keyStr.charAt(f)+this._keyStr.charAt(e)}return a},decode:function(e,d){var a="";var q,k,h;var o,j,g,f;var b=0;e=e.replace(/[^A-Za-z0-9\+\/\=]/g,"");while(b>4);k=((j&15)<<4)|(g>>2);h=((g&3)<<6)|f;a=a+String.fromCharCode(q);if(g!=64){a=a+String.fromCharCode(k)}if(f!=64){a=a+String.fromCharCode(h)}}if(d){a=JXG.Util.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(f){f.replace(/ /g,"");var b=[];var e=f.length/76;for(var d=0;d255){switch(d){case 8364:d=128;break;case 8218:d=130;break;case 402:d=131;break;case 8222:d=132;break;case 8230:d=133;break;case 8224:d=134;break;case 8225:d=135;break;case 710:d=136;break;case 8240:d=137;break;case 352:d=138;break;case 8249:d=139;break;case 338:d=140;break;case 381:d=142;break;case 8216:d=145;break;case 8217:d=146;break;case 8220:d=147;break;case 8221:d=148;break;case 8226:d=149;break;case 8211:d=150;break;case 8212:d=151;break;case 732:d=152;break;case 8482:d=153;break;case 353:d=154;break;case 8250:d=155;break;case 339:d=156;break;case 382:d=158;break;case 376:d=159;break;default:break}}return d};JXG.PsTricks=new function(){this.psTricksString=""};JXG.PsTricks.convertBoardToPsTricks=function(b){var e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[b.canvasWidth,b.canvasHeight],b);var d=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],b);this.psTricksString="\\begin{pspicture*}("+d.usrCoords[1]+","+e.usrCoords[2]+")("+e.usrCoords[1]+","+d.usrCoords[2]+")\n";for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_ARC){if(f.visProp.visible){this.addSector(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_POLYGON){if(f.visProp.visible){this.addPolygon(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_ANGLE){if(f.visProp.visible){this.addAngle(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_CIRCLE){if(f.visProp.visible){this.addCircle(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_ARC){if(f.visProp.visible){this.addArc(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_LINE){if(f.visProp.visible){this.addLine(f)}}}for(var a in b.objects){var f=b.objects[a];if(f.type==JXG.OBJECT_TYPE_POINT){if(f.visProp.visible){this.addPoint(f)}}}this.psTricksString+="\\end{pspicture*}"};JXG.PsTricks.givePsTricksToDiv=function(a,b){this.convertBoardToPsTricks(b);document.getElementById(a).innerHTML=this.psTricksString};JXG.PsTricks.addPoint=function(a){this.psTricksString+="\\psdot";this.psTricksString+="[linecolor="+this.parseColor(a.visProp.strokeColor)+",";this.psTricksString+="dotstyle=";if(a.visProp.style==0||a.visProp.style==1||a.visProp.style==2){this.psTricksString+="x, dotsize=";if(a.visProp.style==0){this.psTricksString+="2pt 2"}else{if(a.visProp.style==1){this.psTricksString+="5pt 2"}else{if(a.visProp.style==2){this.psTricksString+="5pt 3"}}}}else{if(a.visProp.style==3||a.visProp.style==4||a.visProp.style==5||a.visProp.style==6){this.psTricksString+="*, dotsize=";if(a.visProp.style==3){this.psTricksString+="2pt 2"}else{if(a.visProp.style==4){this.psTricksString+="4pt 2"}else{if(a.visProp.style==5){this.psTricksString+="6pt 2"}else{if(a.visProp.style==6){this.psTricksString+="6pt 3"}}}}}else{if(a.visProp.style==7||a.visProp.style==8||a.visProp.style==9){this.psTricksString+="square*, dotsize=";if(a.visProp.style==7){this.psTricksString+="2pt 2"}else{if(a.visProp.style==8){this.psTricksString+="5pt 2"}else{if(a.visProp.style==9){this.psTricksString+="5pt 3"}}}}else{if(a.visProp.style==10||a.visProp.style==11||a.visProp.style==12){this.psTricksString+="+, dotsize=";if(a.visProp.style==10){this.psTricksString+="2pt 2"}else{if(a.visProp.style==11){this.psTricksString+="5pt 2"}else{if(a.visProp.style==12){this.psTricksString+="5pt 3"}}}}}}}this.psTricksString+="]";this.psTricksString+="("+a.coords.usrCoords[1]+","+a.coords.usrCoords[2]+")\n";this.psTricksString+="\\rput("+(a.coords.usrCoords[1]+15/a.board.unitY/a.board.zoomY)+","+(a.coords.usrCoords[2]+15/a.board.unitY/a.board.zoomY)+"){\\small $"+a.name+"$}\n"};JXG.PsTricks.addLine=function(d){var b=new JXG.Coords(JXG.COORDS_BY_USER,d.point1.coords.usrCoords,d.board);var a=new JXG.Coords(JXG.COORDS_BY_USER,d.point2.coords.usrCoords,d.board);if(d.visProp.straightFirst||d.visProp.straightLast){d.board.renderer.calcStraight(d,b,a)}this.psTricksString+="\\psline";this.psTricksString+="[linecolor="+this.parseColor(d.visProp.strokeColor)+", linewidth="+d.visProp.strokeWidth+"px";this.psTricksString+="]";if(d.visProp.firstArrow){if(d.visProp.lastArrow){this.psTricksString+="{<->}"}else{this.psTricksString+="{<-}"}}else{if(d.visProp.lastArrow){this.psTricksString+="{->}"}}this.psTricksString+="("+b.usrCoords[1]+","+b.usrCoords[2]+")("+a.usrCoords[1]+","+a.usrCoords[2]+")\n"};JXG.PsTricks.addCircle=function(b){var a=b.getRadius();this.psTricksString+="\\pscircle";this.psTricksString+="[linecolor="+this.parseColor(b.visProp.strokeColor)+", linewidth="+b.visProp.strokeWidth+"px";if(b.visProp.fillColor!="none"&&b.visProp.fillOpacity!=0){this.psTricksString+=", fillstyle=solid, fillcolor="+this.parseColor(b.visProp.fillColor)+", opacity="+JXG.Math.round(b.visProp.fillOpacity,5)}this.psTricksString+="]";this.psTricksString+="("+b.midpoint.coords.usrCoords[1]+","+b.midpoint.coords.usrCoords[2]+"){"+a+"}\n"};JXG.PsTricks.addPolygon=function(b){this.psTricksString+="\\pspolygon";this.psTricksString+="[linestyle=none, fillstyle=solid, fillcolor="+this.parseColor(b.visProp.fillColor)+", opacity="+JXG.Math.round(b.visProp.fillOpacity,5)+"]";for(var a=0;a=180){f+="1 "}else{f+="0 "}f+="0 ";f+=j.scrCoords[1]+" "+j.scrCoords[2];this.updatePathPrimitive(d,f,b.board);if(b.visProp.strokeColor!=null){d.setAttributeNS(null,"stroke",b.visProp.strokeColor)}if(b.visProp.strokeOpacity!=null){d.setAttributeNS(null,"stroke-opacity",b.visProp.strokeOpacity)}if(b.visProp.strokeWidth!=null){d.setAttributeNS(null,"stroke-width",b.visProp.strokeWidth)}d.setAttributeNS(null,"fill","none");this.setDashStyle(d,b.visProp);if(b.visProp.firstArrow){o=this.createArrowHead(b,"Start");this.defs.appendChild(o);b.rendNodeTriangleStart=o;d.setAttributeNS(null,"marker-end","url(#"+b.id+"TriangleStart)")}if(b.visProp.lastArrow){o=this.createArrowHead(b,"End");this.defs.appendChild(o);b.rendNodeTriangleEnd=o;d.setAttributeNS(null,"marker-start","url(#"+b.id+"TriangleEnd)")}k=this.createPrimitive("path",b.id+"_fill");g="M "+b.midpoint.coords.scrCoords[1]+" "+b.midpoint.coords.scrCoords[2];g+=" L "+b.point2.coords.scrCoords[1]+" "+b.point2.coords.scrCoords[2]+" A ";g+=Math.round(h*b.board.unitX*b.board.zoomX)+" "+Math.round(h*b.board.unitY*b.board.zoomY)+" 0 ";if(e>=180){g+="1 "}else{g+="0 "}g+="0 ";g+=j.scrCoords[1]+" "+j.scrCoords[2];g+=" L "+b.midpoint.coords.scrCoords[1]+" "+b.midpoint.coords.scrCoords[2]+" z";this.updatePathPrimitive(k,g,b.board);if(b.visProp.fillColor!=null){k.setAttributeNS(null,"fill",b.visProp.fillColor)}if(b.visProp.fillOpacity!=null){k.setAttributeNS(null,"fill-opacity",b.visProp.fillOpacity)}k.setAttributeNS(null,"stroke","none");this.arcs.appendChild(d);this.sectors.appendChild(k);b.rendNodeFill=k;this.setDraft(b);if(!b.visProp.visible){b.hideElement()}};JXG.AbstractRenderer.prototype.updateArc=function(a){var b;this.remove(a.rendNode);this.remove(a.rendNodeFill);b=a.rendNodeTriangleStart;if(b!=null){this.remove(b)}b=a.rendNodeTriangleEnd;if(b!=null){this.remove(b)}this.drawArc(a);this.setDraft(a);return};JXG.SVGRenderer.prototype.drawAngle=function(f){var j=f.board.algebra.trueAngle(f.point1,f.point2,f.point3),h,e,b,g,a,d;h={};h.midpoint=f.point2;h.getRadius=function(){return f.radius};e=f.board.algebra.projectPointToCircle(f.point1,h);b=f.board.algebra.projectPointToCircle(f.point3,h);g=this.createPrimitive("path",f.id+"_1");d="M "+f.point2.coords.scrCoords[1]+" "+f.point2.coords.scrCoords[2];d+=" L "+e.scrCoords[1]+" "+e.scrCoords[2]+" A ";d+=Math.round(f.radius*f.board.unitX*f.board.zoomX)+" "+Math.round(f.radius*f.board.unitY*f.board.zoomY)+" 0 ";if(j>=180){d+="1 "}else{d+="0 "}d+="0 ";d+=b.scrCoords[1]+" "+b.scrCoords[2];d+=" L "+f.point2.coords.scrCoords[1]+" "+f.point2.coords.scrCoords[2]+" z";g.setAttributeNS(null,"d",d);g.setAttributeNS(null,"fill",f.visProp.fillColor);g.setAttributeNS(null,"fill-opacity",f.visProp.fillOpacity);g.setAttributeNS(null,"stroke","none");a=this.createPrimitive("path",f.id+"_2");d="M "+e.scrCoords[1]+" "+e.scrCoords[2]+" A ";d+=Math.round(f.radius*f.board.unitX*f.board.zoomX)+" "+Math.round(f.radius*f.board.unitY*f.board.zoomY)+" 0 ";if(j>=180){d+="1 "}else{d+="0 "}d+="0 ";d+=b.scrCoords[1]+" "+b.scrCoords[2];a.setAttributeNS(null,"d",d);a.setAttributeNS(null,"id",f.id+"_2");a.setAttributeNS(null,"fill","none");a.setAttributeNS(null,"stroke",f.visProp.strokeColor);a.setAttributeNS(null,"stroke-opacity",f.visProp.strokeOpacity);this.appendChildPrimitive(g,"angles");f.rendNode1=g;this.appendChildPrimitive(a,"angles");f.rendNode2=a;this.setObjectStrokeWidth(f,f.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,d=this.createPrimitive("image",b.id);d.setAttributeNS(this.xlinkNamespace,"xlink:href",a);this.appendChildPrimitive(d,b.displayLevel);b.rendNode=d;this.updateImage(b)};JXG.SVGRenderer.prototype.transformImage=function(b,a){var d=b.rendNode,e=d.getAttributeNS(null,"transform");e+=" "+this.joinTransforms(b,a);d.setAttributeNS(null,"transform",e)};JXG.SVGRenderer.prototype.joinTransforms=function(e,b){var f="",a,d;for(a=0;a0){b.removeChild(b.firstChild)}};JXG.SVGRenderer.prototype.setObjectDash=function(a){var b,d;if(a.elementClass!=JXG.OBJECT_CLASS_POINT){if(a.type==JXG.OBJECT_TYPE_ANGLE){b=a.rendNode2}else{b=a.rendNode}if(a.visProp.dash>0){d=a.visProp.dash;b.setAttributeNS(null,"stroke-dasharray",this.dashArray[d-1])}else{if(b.hasAttributeNS(null,"stroke-dasharray")){b.removeAttributeNS(null,"stroke-dasharray")}}}};JXG.SVGRenderer.prototype.setObjectStrokeColor=function(d,a,b){var g,f,e;if(b==undefined){b=1}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){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){e=d.rendNode;e.setAttributeNS(null,"stroke",g);e.setAttributeNS(null,"stroke-opacity",f)}else{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){var g,f,e;if(b==undefined){b=1}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){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{e=d.rendNode;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}}}else{if(d.visProp.style>=3&&d.visProp.style<=9){e=d.rendNode;e.setAttributeNS(null,"fill",g);e.setAttributeNS(null,"fill-opacity",f)}else{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.setObjectStrokeWidth=function(d,b){var a,e;if(typeof b=="function"){a=b()}else{a=b}if(d.elementClass!=JXG.OBJECT_CLASS_POINT){e;if(d.type==JXG.OBJECT_TYPE_ANGLE){e=d.rendNode2}else{e=d.rendNode}this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}else{if(d.visProp.style>=3&&d.visProp.style<=9){e=d.rendNode;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}else{e=d.rendNodeX1;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}e=d.rendNodeX2;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}}};JXG.SVGRenderer.prototype.hide=function(a){var b;if(a==null){return}if(JXG.IsPoint(a)){if(a.visProp.style>=3&&a.visProp.style<=9){b=a.rendNode;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}else{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){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){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{b=a.rendNode;b.setAttributeNS(null,"display","none");b.style.visibility="hidden"}}}};JXG.SVGRenderer.prototype.show=function(a){var b;if(JXG.IsPoint(a)){if(a.visProp.style>=3&&a.visProp.style<=9){b=a.rendNode;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}else{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){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){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{b=a.rendNode;b.setAttributeNS(null,"display","inline");b.style.visibility="inherit"}}}};JXG.SVGRenderer.prototype.remove=function(a){if(a!=null&&a.parentNode!=null){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.setDashStyle=function(b,a){var d;if(a.dash>0){d=a.dash;b.setAttributeNS(null,"stroke-dasharray",this.dashArray[d-1])}};JXG.SVGRenderer.prototype.createPrimitive=function(a,d){var b=this.container.ownerDocument.createElementNS(this.svgNamespace,a);b.setAttributeNS(null,"id",d);b.style.position="absolute";return b};JXG.SVGRenderer.prototype.createArrowHead=function(d,f){var e=d.id+"Triangle",b,a;if(f!=null){e+=f}b=this.createPrimitive("marker",e);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",d.visProp.strokeColor);b.setAttributeNS(null,"stroke-opacity",d.visProp.strokeOpacity);b.setAttributeNS(null,"fill",d.visProp.strokeColor);b.setAttributeNS(null,"fill-opacity",d.visProp.strokeOpacity);a=this.container.ownerDocument.createElementNS(this.svgNamespace,"path");if(f=="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(d,b,e){var a=this.createArrowHead(b,e);this.defs.appendChild(a);d.setAttributeNS(null,"marker-end","url(#"+b.id+"Triangle)");b.rendNodeTriangle=a};JXG.SVGRenderer.prototype.makeArrows=function(b){var a;if(b.visProp.firstArrow){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{a=b.rendNodeTriangleStart;if(a!=null){this.remove(a)}}if(b.visProp.lastArrow){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{a=b.rendNodeTriangleEnd;if(a!=null){this.remove(a)}}};JXG.SVGRenderer.prototype.updateLinePrimitive=function(f,b,a,e,d){f.setAttributeNS(null,"x1",b);f.setAttributeNS(null,"y1",a);f.setAttributeNS(null,"x2",e);f.setAttributeNS(null,"y2",d)};JXG.SVGRenderer.prototype.updateCirclePrimitive=function(d,a,e,b){d.setAttributeNS(null,"cx",(a));d.setAttributeNS(null,"cy",(e));d.setAttributeNS(null,"r",(b))};JXG.SVGRenderer.prototype.updateEllipsePrimitive=function(b,a,f,e,d){b.setAttributeNS(null,"cx",(a));b.setAttributeNS(null,"cy",(f));b.setAttributeNS(null,"rx",(e));b.setAttributeNS(null,"ry",(d))};JXG.SVGRenderer.prototype.updateRectPrimitive=function(e,a,f,b,d){e.setAttributeNS(null,"x",(a));e.setAttributeNS(null,"y",(f));e.setAttributeNS(null,"width",(b));e.setAttributeNS(null,"height",(d))};JXG.SVGRenderer.prototype.updatePathPrimitive=function(b,d,a){b.setAttributeNS(null,"d",d);b.setAttributeNS(null,"stroke-linecap","round");b.setAttributeNS(null,"stroke-linejoin","round");b.setAttributeNS(null,"shape-rendering","geometricPrecision")};JXG.SVGRenderer.prototype.updatePathStringPrimitive=function(a){var j=-10000,e=-10000,b=" M ",g="",f=3*a.board.canvasHeight,q=100*a.board.canvasWidth,d,k,o=(a.curveType!="plot");isFunctionGraph=(a.curveType=="functiongraph");if(a.numberPoints<=0){return""}for(d=0;dq||(isFunctionGraph&&(k[2]>f||k[2]<-0.5*f))){b=" M "}else{g+=[b,k[1]," ",k[2]].join("");b=" L "}j=k[1];e=k[2]}return g};JXG.SVGRenderer.prototype.updatePolygonePrimitive=function(e,b){var f="",d,a;e.setAttributeNS(null,"stroke","none");for(a=0;a=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)){var b=a.rendNode;b.style.visibility="inherit";if(a.type==JXG.OBJECT_TYPE_ARC||a.type==JXG.OBJECT_TYPE_ANGLE){b=a.rendNodeFill;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 d=b.rendNode;var a=b.visProp.dash;d.setAttribute("dashstyle",this.dashArray[a])}else{var d=document.getElementById(b.id+"stroke");if(d){var a=b.visProp.dash;d.setAttribute("dashstyle",this.dashArray[a])}}}};JXG.VMLRenderer.prototype.setObjectStrokeColor=function(e,a,b){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_TEXT){e.rendNode.style.color=h}else{var f=e.rendNode;f.setAttribute("stroked","true");f.setAttribute("strokecolor",h);var d=this.getElementById(e.id+"stroke");if(d==null){d=this.container.ownerDocument.createElement("v:stroke");d.setAttribute("id",e.id+"stroke");f.appendChild(d)}if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}}else{if(e.visProp.style>=3&&e.visProp.style<=9){var f=e.rendNode;f.setAttribute("stroked","true");f.setAttribute("strokecolor",h);var d=this.getElementById(e.id+"stroke");if(d==null){d=this.container.ownerDocument.createElement("v:stroke");d.setAttribute("id",e.id+"stroke");f.appendChild(d)}if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}else{var f=e.rendNodeX1;f.setAttribute("stroked","true");f.setAttribute("strokecolor",h);var d=this.getElementById(e.id+"_x1stroke");if(d==null){d=this.container.ownerDocument.createElement("v:stroke");d.setAttribute("id",e.id+"_x1stroke");f.appendChild(d)}if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}var f=e.rendNodeX2;f.setAttribute("stroked","true");f.setAttribute("strokecolor",h);d=this.getElementById(e.id+"_x2stroke");if(d==null){d=this.container.ownerDocument.createElement("v:stroke");d.setAttribute("id",e.id+"_x2stroke");f.appendChild(d)}if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}}};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||e.type==JXG.OBJECT_TYPE_ANGLE){var f=document.getElementById(e.id+"_fillnode");if(f==null){f=this.container.ownerDocument.createElement("v:fill");f.setAttribute("id",e.id+"_fillnode");e.rendNode2.appendChild(f)}e.rendNodeFill=f;if(h=="none"){e.rendNode2.setAttribute("filled","false")}else{e.rendNode2.setAttribute("filled","true");e.rendNode2.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;var d=document.getElementById(e.id+"_fillnode");if(d==null){d=this.container.ownerDocument.createElement("v:fill");d.setAttribute("id",e.id+"_fillnode");f.appendChild(d)}e.rendNodeFill=d;if(h=="none"){f.setAttribute("filled","false")}else{f.setAttribute("filled","true");f.setAttribute("fillcolor",h);if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}}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=document.getElementById(e.id+"_fillnode");if(d==null){d=this.container.ownerDocument.createElement("v:fill");d.setAttribute("id",e.id+"_fillnode");if(e.type==JXG.OBJECT_TYPE_ARC||e.type==JXG.OBJECT_TYPE_ANGLE){e.rendNode2.appendChild(d)}else{e.rendNode.appendChild(d)}}e.rendNodeFill=d;if(g!=undefined){d.setAttribute("opacity",(g*100)+"%")}}};JXG.VMLRenderer.prototype.remove=function(a){if(a!=null){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.setAttributes=function(e,d,h,b){var g;for(var a=0;a0)?g:0}else{g=b[f]}e.setAttribute(h[a],g)}}};JXG.VMLRenderer.prototype.setDashStyle=function(d,b){if(b.dash>=0){var a=this.container.ownerDocument.createElement("v:stroke");a.setAttribute("id",d.id+"stroke");a.setAttribute("dashstyle",this.dashArray[b.dash]);d.appendChild(a)}};JXG.AbstractRenderer.prototype.setObjectStrokeWidth=function(d,b){var a;if(typeof b=="function"){a=b()}else{a=b}if(d.elementClass!=JXG.OBJECT_CLASS_POINT){var e=d.rendNode;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}else{if(d.visProp.style>=3&&d.visProp.style<=9){var e=d.rendNode;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}else{var e=d.rendNodeX1;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}var e=d.rendNodeX2;this.setPropertyPrimitive(e,"stroked","true");if(a!=null){this.setPropertyPrimitive(e,"stroke-width",a)}}}};JXG.VMLRenderer.prototype.createPrimitive=function(a,d){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",d);return b};JXG.VMLRenderer.prototype.makeArrow=function(d,b,e){var a=this.container.ownerDocument.createElement("v:stroke");a.setAttribute("endarrow","block");a.setAttribute("endarrowlength","long");d.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(f,b,a,e,d){f.setAttribute("from",[b,a].join(","));f.setAttribute("to",[e,d].join(","))};JXG.VMLRenderer.prototype.updateCirclePrimitive=function(d,a,e,b){d.style.left=(a-b)+"px";d.style.top=(e-b)+"px";d.style.width=(b*2)+"px";d.style.height=(b*2)+"px"};JXG.VMLRenderer.prototype.updateRectPrimitive=function(e,a,f,b,d){e.style.left=(a)+"px";e.style.top=(f)+"px";e.style.width=(b)+"px";e.style.height=(d)+"px"};JXG.VMLRenderer.prototype.updateEllipsePrimitive=function(b,a,f,e,d){b.style.left=(a-e)+"px";b.style.top=(f-d)+"px";b.style.width=(e*2)+"px";b.style.height=(d*2)+"px"};JXG.VMLRenderer.prototype.updatePathPrimitive=function(d,e,b){var a=b.canvasWidth;var f=b.canvasHeight;d.style.width=a;d.style.height=f;d.setAttribute("coordsize",a+","+f);d.setAttribute("path",e.join(""))};JXG.VMLRenderer.prototype.updatePathStringPrimitive=function(a){if(a.numberPoints<=0){return""}var k=-10000;var f=-10000;var b=" m ";var j=[];var g=3*a.board.canvasHeight;var q=100*a.board.canvasWidth;var d=Math.min(a.numberPoints,8192);for(var e=0;eq||(a.curveType=="functiongraph"&&(o[2]>g||o[2]<-0.5*g))){b=" m "}else{j.push([b,o[1],", ",o[2]].join(""));b=" l "}k=o[1];f=o[2]}j.push(" e");return j};JXG.VMLRenderer.prototype.updatePolygonePrimitive=function(f,d){f.setAttribute("stroked","false");var g=d.vertices[0].coords.scrCoords[1];var b=d.vertices[0].coords.scrCoords[1];var e=d.vertices[0].coords.scrCoords[2];var a=d.vertices[0].coords.scrCoords[2];for(var h=1;hb){b=q[1]}if(q[2]a){a=q[2]}}var o=Math.round(b-g);var k=Math.round(a-e);f.style.width=o;f.style.height=k;f.setAttribute("coordsize",o+","+k);var j=[];j.push("m ");var q=d.vertices[0].coords.scrCoords;j.push(q[1]+","+q[2]);j.push(" l ");for(var h=1;h