diff --git a/ajax/libs/jsxgraph/0.95/CinderellaReader.min.js b/ajax/libs/jsxgraph/0.95/CinderellaReader.min.js
new file mode 100644
index 000000000..539e253f1
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.95/CinderellaReader.min.js
@@ -0,0 +1,27 @@
+/* Version 0.95 */
+/* Version 0.95 */
+/*
+    Copyright 2008-2012
+        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 <http://www.gnu.org/licenses/>.
+*/
+    JXG.CinderellaReader=new function(){this.parseData=function(l){var t,v,u,s,n,p,m,d,b,q,f,o,h,r,g,c,a,e,x,w,y;t=this.data.split("\n");for(v=0;v<t.length;v++){if(t[v].search(/FreePoint.+/)!=-1){n=t[v].slice(t[v].search(/FreePoint.+/)+11);n=n.split(",");for(u=0;u<n.length;u++){n[u]=n[u].slice(0,n[u].search(/\+i\*/))}m=t[v].match(/"[A-Za-z]*"/);m=m[0].slice(1,m[0].length-1);o=this.readPointProperties(t,v);v=o[1];l.create("point",[n[0]/n[2],-1*n[1]/n[2]],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}else{if(t[v].search(/Join\(.+/)!=-1||t[v].search(/Segment\(.+/)!=-1){if(t[v].search(/Join\(.+/)!=-1){d=t[v].slice(t[v].search(/Join.+/)+5);b=false}else{d=t[v].slice(t[v].search(/Segment.+/)+8);b=true}d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z]*"/);m=m[0].slice(1,m[0].length-1);o=this.readLineProperties(t,v);v=o[2];l.create("line",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{straightFirst:!b,straightLast:!b,name:m,withLabel:true,strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{if(t[v].search(/CircleMP.+/)!=-1){d=t[v].slice(t[v].search(/CircleMP.+/)+9);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];l.create("circle",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/CircleByFixedRadius.+/)!=-1||t[v].search(/CircleByRadius.+/)!=-1){if(t[v].search(/CircleByFixedRadius.+/)!=-1){d=t[v].slice(t[v].search(/CircleByFixedRadius.+/)+20)}else{d=t[v].slice(t[v].search(/CircleByRadius.+/)+15)}d=d.split(",");p=d[0].match(/"[A-Za-z0-9]*"/)[0];p=p.slice(1,p.length-1);m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);q=d[1].slice(0,d[1].search(/\+i\*/));o=this.readCircleProperties(t,v);v=o[3];l.create("circle",[JXG.getReference(l,p),Math.sqrt(1*q)],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/PointOnCircle.+/)!=-1){d=t[v].split(":=");m=d[0].match(/"[A-Za-z]*"/)[0];m=m.slice(1,m.length-1);p=d[1].match(/"[A-Za-z0-9]*"/)[0];p=p.slice(1,p.length-1);d=d[1].match(/\[.*\]/)[0];d=d.split(",");for(s=0;s<d.length;s++){d[s]=d[s].split("+i*")}d[0]=1*(d[0][0].slice(1));d[1]=1*d[1][0];if(t[v][1]=="n"){d[0]=-1*d[0];d[1]=-1*d[1]}o=this.readPointProperties(t,v);v=o[1];f=JXG.getReference(l,p);l.create("glider",[f.center.coords.usrCoords[1]+d[0],f.center.coords.usrCoords[2]-d[1],f],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}else{if(t[v].search(/PointOnLine.+/)!=-1){d=t[v].split(":=");m=d[0].match(/"[A-Za-z]*"/)[0];m=m.slice(1,m.length-1);p=d[1].match(/"[A-Za-z0-9]*"/)[0];p=p.slice(1,p.length-1);n=d[1].match(/\[.*\]/)[0];n=n.split(",");n[0]=1*(n[0].slice(1,n[0].search(/\+i\*/)));for(u=1;u<n.length;u++){n[u]=1*(n[u].slice(0,n[u].search(/\+i\*/)))}o=this.readPointProperties(t,v);v=o[1];l.create("glider",[n[0]/n[2],-1*n[1]/n[2],JXG.getReference(l,p)],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}else{if(t[v].search(/Mid\(.+/)!=-1){d=t[v].slice(t[v].search(/Mid.+/)+4);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readPointProperties(t,v);v=o[1];l.create("midpoint",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}else{if(t[v].search(/CircleBy3\(.+/)!=-1){d=t[v].slice(t[v].search(/CircleBy3.+/)+10);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];f=l.create("circumcircle",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),JXG.getReference(l,p[2])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2],point:{name:"",visible:false}})}else{if(t[v].search(/Parallel\(.+/)!=-1){d=t[v].slice(t[v].search(/Parallel.+/)+9);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readLineProperties(t,v);v=o[2];l.create("parallel",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{name:m,withLabel:true,strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{if(t[v].search(/Orthogonal\(.+/)!=-1){d=t[v].slice(t[v].search(/Parallel.+/)+11);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readLineProperties(t,v);v=o[2];l.create("normal",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{name:m,withLabel:true,strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{if(t[v].search(/ConicBy5\(.+/)!=-1){d=t[v].slice(t[v].search(/ConicBy5.+/)+9);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];l.create("conic",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),JXG.getReference(l,p[2]),JXG.getReference(l,p[3]),JXG.getReference(l,p[4])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/ConicFoci\(.+/)!=-1||t[v].search(/ConicFociH\(.+/)!=-1){d=t[v].split(":=");m=d[0].match(/"[A-Za-z0-9]*"/)[0];m=m.slice(1,m.length-1);p=d[1].match(/"[A-Za-z0-9]*"/g);for(u=0;u<p.length;u++){p[u]=p[u].slice(1,p[u].length-1)}o=this.readCircleProperties(t,v);if(t[v].search(/ConicFociH\(.+/)!=-1){l.create("hyperbola",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),JXG.getReference(l,p[2])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{l.create("ellipse",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),JXG.getReference(l,p[2])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}v=o[3]}else{if(t[v].search(/ConicParabolaPL\(.+/)!=-1){d=t[v].slice(t[v].search(/ConicParabolaPL.+/)+16);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];l.create("parabola",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/Poly\(.+/)!=-1){d=t[v].slice(t[v].search(/Poly.+/)+5);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1);p[u]=JXG.getReference(l,p[u])}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];h=l.create("polygon",p,{name:m});h.setProperty({fillColor:o[1],fillOpacity:o[2]});for(u=0;u<h.borders.length;u++){h.borders[u].setProperty({strokeColor:o[0][0],strokeWidth:o[0][2]})}}else{if(t[v].search(/Arc\(.+/)!=-1){d=t[v].slice(t[v].search(/Arc.+/)+4);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];h=l.create("circumcirclearc",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),JXG.getReference(l,p[2])],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/Through\(.+/)!=-1){d=t[v].slice(t[v].search(/Through.+/)+8);p=d.match(/"[A-Za-z]*"/)[0];p=p.slice(1,p.length-1);n=d.match(/\[.*\]/)[0];n=n.split(",");n[0]=1*(n[0].slice(1,n[0].search(/\+i\*/)));for(u=1;u<n.length;u++){n[u]=1*(n[u].slice(0,n[u].search(/\+i\*/)))}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);u=JXG.getReference(l,p);r=l.create("point",[u.coords.usrCoords[1]+1*n[0],u.coords.usrCoords[2]+1*n[1]],{visible:false});o=this.readLineProperties(t,v);v=o[2];l.create("line",[u,r],{name:m,withLabel:true,strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{if(t[v].search(/:=Compass\(.+/)!=-1){d=t[v].slice(t[v].search(/Compass.+/)+8);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readCircleProperties(t,v);v=o[3];q=(function(j,i){return function(){return JXG.getReference(i,j[0]).Dist(JXG.getReference(i,j[1]))}})(p,l);l.create("circle",[JXG.getReference(l,p[2]),q],{name:m,strokeColor:o[0][0],fillColor:o[1],fillOpacity:o[2],strokeWidth:o[0][2]})}else{if(t[v].search(/AngularBisector\(.+/)!=-1){d=t[v].split(":=");d[0]=d[0].split(",");if(d[0][0]=="{null"){m=""}else{m=d[0][0].slice(2,d[0][0].length-1)}if(d[0][1]=="null"){g=""}else{g=d[0][1].slice(1,d[0][1].length-1)}d[1]=d[1].match(/"[A-Za-z0-9]*"/g);p=[];p[0]=d[1][0].slice(1,d[1][0].length-1);p[1]=d[1][1].slice(1,d[1][1].length-1);o=this.readLineProperties(t,v);v=o[2];if(!(m==""||g=="")){c=this.readLineProperties(t,v);v=o[2]}a=l.create("bisectorlines",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1])],{line1:{name:g},line2:{name:m},withLabel:true});if(m==""){a.line2.setProperty({visible:false});a.line1.setProperty({strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{if(g==""){a.line1.setProperty({visible:false});a.line2.setProperty({strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]})}else{a.line1.setProperty({strokeColor:o[0][0],strokeWidth:o[0][2],dash:o[1]});a.line2.setProperty({strokeColor:c[0][0],strokeWidth:c[0][2],dash:c[1]})}}}else{if(t[v].search(/Meet\(.+/)!=-1){d=t[v].slice(t[v].search(/Meet.+/)+5);d=d.split(",");p=[];for(u=0;u<d.length;u++){p[u]=d[u].match(/"[A-Za-z]*"/)[0];p[u]=p[u].slice(1,p[u].length-1)}m=t[v].match(/"[A-Za-z0-9]*"/);m=m[0].slice(1,m[0].length-1);o=this.readPointProperties(t,v);v=o[1];l.create("intersection",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),0],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}else{if(t[v].search(/IntersectionConicLine\(.+/)!=-1||t[v].search(/IntersectionCircleCircle\(.+/)!=-1){if(t[v].search(/IntersectionConicLine\(.+/)!=-1){s=0;u=1}else{s=1;u=0}d=t[v].split(":=");d[0]=d[0].split(",");if(d[0][0]=="{null"){m=""}else{m=d[0][0].slice(2,d[0][0].length-1)}if(d[0][1]=="null"){g=""}else{g=d[0][1].slice(1,d[0][1].length-1)}d[1]=d[1].match(/"[A-Za-z0-9]*"/g);p=[];p[0]=d[1][0].slice(1,d[1][0].length-1);p[1]=d[1][1].slice(1,d[1][1].length-1);o=this.readPointProperties(t,v);v=o[1];if(!(m==""||g=="")){c=this.readPointProperties(t,v);v=o[1]}if(g!=""){r=l.create("intersection",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),u],{name:g,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]});if(m!=""){e=l.create("otherintersection",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),r],{name:m,size:c[0][1],fillColor:c[0][0],strokeColor:c[2],labelColor:c[3]})}}else{r=l.create("intersection",[JXG.getReference(l,p[0]),JXG.getReference(l,p[1]),s],{name:m,size:o[0][1],fillColor:o[0][0],strokeColor:o[2],labelColor:o[3]})}}else{if(t[v].search(/setOriginX\(([0-9.]*)\)/)!=-1){x=RegExp.$1}else{if(t[v].search(/setOriginY\(([0-9.]*)\)/)!=-1){w=RegExp.$1}else{if(t[v].search(/setScale\(([0-9.]*)\)/)!=-1){y=1*RegExp.$1/25}}}}}}}}}}}}}}}}}}}}}}}}l.zoomX*=y/2.4;l.zoomY*=y/2.4;x=l.origin.scrCoords[1]*l.options.zoom.factorX;w=l.origin.scrCoords[2]*l.options.zoom.factorY;l.origin=new JXG.Coords(JXG.COORDS_BY_SCREEN,[x-150,w+50],l);l.applyZoom();return l};this.calculateColor=function(a){a=parseInt(a);switch(a){case 0:return"white";case 1:return"black";case 2:return"red";case 3:return"blue";case 4:return"green";case 5:return"yellow";case 6:return"#ffafaf";case 7:return"cyan";case 8:return"#ffc800";case 9:return"#199e4e";case 10:return"#b75500";case 11:return"#7700b7";case 12:return"#ff7f00";case 13:return"#03a7bc";case 14:return"#c10000";case 15:return"#808080";case 16:return"#ff4a4a";case 17:return"#faff9e";case 18:return"#b6ffaa";case 19:return"#82f2ff";case 20:return"#d4a3ff";case 21:return"#ffbd77"}};this.readPointProperties=function(b,e){var d,c,a;do{e=e+1}while(b[e].search(/setAppearance/)==-1);d=(b[e].match(/\([A-Za-z,0-9\.]*\)/))[0];d=d.slice(1,d.length-1).split(",");d[0]=this.calculateColor(d[0]);do{e=e+1}while(b[e].search(/pointborder/)==-1);if(b[e].search(/false/)!=-1){c="none";a=d[0]}else{c="black";a="black"}return[d,e,c,a]};this.readCircleProperties=function(a,d){var c,e,b;do{d=d+1}while(a[d].search(/setAppearance/)==-1);c=(a[d].match(/\([A-Za-z,0-9\.]*\)/))[0];c=c.slice(1,c.length-1).split(",");c[0]=this.calculateColor(c[0]);do{d=d+1}while(a[d].search(/colorfill/)==-1);e=a[d].match(/"[0-9]*"/)[0];e=e.slice(1,e.length-1);e=this.calculateColor(e);do{d=d+1}while(a[d].search(/visibilityfill|fillalpha/)==-1);b=a[d].match(/"[0-9\.]*"/)[0];b=b.slice(1,b.length-1);if(a[d].match(/visibilityfill/)){b=1*b/10}else{b=1*b}return[c,e,b,d]};this.readLineProperties=function(a,c){var b,d;do{c=c+1}while(a[c].search(/setAppearance/)==-1);b=(a[c].match(/\([A-Za-z,0-9\.]*\)/))[0];b=b.slice(1,b.length-1).split(",");b[0]=this.calculateColor(b[0]);do{c=c+1}while(a[c].search(/linedashing/)==-1);if(a[c].search(/false/)!=-1){d=0}else{d=3}return[b,d,c]};this.prepareString=function(c){var b,d=[],a;if(c.indexOf("<")!=0){a=c.length;for(b=0;b<a;b++){d[b]=JXG.Util.asciiCharCodeAt(c,b)}c=(new JXG.Util.Unzip(d)).unzip()[0][0]}return c};this.readCinderella=function(b,a){this.data=this.prepareString(b);a.suspendUpdate();this.parseData(a);a.unsuspendUpdate()}};
\ No newline at end of file
diff --git a/ajax/libs/jsxgraph/0.95/GeogebraReader.min.js b/ajax/libs/jsxgraph/0.95/GeogebraReader.min.js
new file mode 100644
index 000000000..8e549fb41
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.95/GeogebraReader.min.js
@@ -0,0 +1,27 @@
+/* Version 0.95 */
+/* Version 0.95 */
+/*
+    Copyright 2008-2012
+        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 <http://www.gnu.org/licenses/>.
+*/
+    JXG.GeogebraReader=new function(){this.ggbAct=function(type,m,n){var v1=m,v2=n,s1,s2,a;switch(type.toLowerCase()){case"end":return v1;break;case"coord":s1=(JXG.GeogebraReader.board.ggbElements[v1])?'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'")':v1;s2=(JXG.GeogebraReader.board.ggbElements[v2])?'JXG.getRef(JXG.GeogebraReader.board, "'+v2+'")':v2;return[s1,s2];break;case"le":return"( ("+v1+") <= ("+v2+") )";break;case"ge":return"( ("+v1+") >= ("+v2+") )";break;case"eq":return"( ("+v1+") == ("+v2+") )";break;case"neq":return"( ("+v1+") != ("+v2+") )";break;case"lt":return"( ("+v1+") < ("+v2+") )";break;case"gt":return"( ("+v1+") > ("+v2+") )";break;case"add":if(JXG.GeogebraReader.isGGBVector(v1)&&JXG.GeogebraReader.isGGBVector(v2)){return[1,v1[1]+"+"+v2[1],v1[2]+"+"+v2[2]]}if(JXG.isString(v1)&&!v1.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v1.match(/JXG\.getRef/)){s1=[v1+".X()",v1+".Y()"]}else{s1=v1}if(JXG.isString(v2)&&!v2.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v2.match(/JXG\.getRef/)){s2=[v2+".X()",v2+".Y()"]}else{s2=v2}if(JXG.GeogebraReader.isGGBVector(s1)&&JXG.isArray(s2)){return[s1[1]+"+"+s2[0],s1[2]+"+"+s2[1]]}if(JXG.GeogebraReader.isGGBVector(s2)&&JXG.isArray(s1)){return[s2[1]+"+"+s1[0],s2[2]+"+"+s1[1]]}if(JXG.isArray(s1)&&JXG.isArray(s2)){return[s1[0]+" + "+s2[0],s1[1]+" + "+s2[1]]}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&(JXG.isNumber(s2)||JXG.isString(s2))){return s1+" + "+s2}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&JXG.isArray(s2)){return[s1+" + "+s2[0],s1+" + "+s2[1]]}else{if(JXG.isArray(s1)&&(JXG.isNumber(s2)||JXG.isString(s2))){return[s1[0]+" + "+s2,s1[1]+" + "+s2]}else{return s1+" + "+s2}}}}break;case"sub":if(JXG.GeogebraReader.isGGBVector(v1)&&JXG.GeogebraReader.isGGBVector(v2)){return[1,v1[1]+"-"+v2[1],v1[2]+"-"+v2[2]]}if(JXG.isString(v1)&&!v1.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v1.match(/JXG\.getRef/)){s1=[v1+".X()",v1+".Y()"]}else{s1=v1}if(JXG.isString(v2)&&!v2.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v2.match(/JXG\.getRef/)){s2=[v2+".X()",v2+".Y()"]}else{s2=v2}if(JXG.GeogebraReader.isGGBVector(s1)&&JXG.isArray(s2)){return[s1[1]+"-"+s2[0],s1[2]+"-"+s2[1]]}if(JXG.isArray(s1)&&JXG.GeogebraReader.isGGBVector(s2)){return[s1[0]+"-("+s2[1]+")",s1[1]+"-("+s2[2]+")"]}if(JXG.isArray(s1)&&JXG.isArray(s2)){return[s1[0]+" - "+s2[0],s1[1]+" - "+s2[1]]}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&(JXG.isNumber(s2)||JXG.isString(s2))){return s1+" - "+s2}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&JXG.isArray(s2)){return[s1+" - "+s2[0],s1+" - "+s2[1]]}else{if(JXG.isArray(s1)&&(JXG.isNumber(s2)||JXG.isString(s2))){return[s1[0]+" - "+s2,s1[1]+" - "+s2]}else{return s1+" - "+s2}}}}break;case"neg":return"!("+v1+")";break;case"pow":return"Math.pow("+v1+", "+v2+")";break;case"or":return"("+v1+"||"+v2+")";break;case"and":return"("+v1+"&&"+v2+")";break;case"mul":if(JXG.GeogebraReader.isGGBVector(v1)&&!JXG.isArray(v2)){return[1,"("+v1[1]+")*"+v2,"("+v1[2]+")*"+v2]}else{if(!JXG.isArray(v1)&&JXG.GeogebraReader.isGGBVector(v2)){return new Array(1,"("+v2[1]+")*"+v1,"("+v2[2]+")*"+v1)}else{if(JXG.GeogebraReader.isGGBVector(v1)&&JXG.GeogebraReader.isGGBVector(v2)){return"(("+v1[1]+")*("+v2[1]+")+("+v1[2]+")*("+v2[2]+"))"}else{if(JXG.isString(v1)&&!v1.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v1.match(/JXG\.getRef/)){s1=[v1+".X()",v1+".Y()"]}else{s1=v1}if(JXG.isString(v2)&&!v2.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v2.match(/JXG\.getRef/)){s2=[v2+".X()",v2+".Y()"]}else{s2=v2}if(JXG.isArray(s1)&&JXG.isArray(s2)){return[s1[0]+" * "+s2[0],s1[1]+" * "+s2[1]]}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&(JXG.isNumber(s2)||JXG.isString(s2))){return s1+" * "+s2}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&JXG.isArray(s2)){return[s1+" * "+s2[0],s1+" * "+s2[1]]}else{if(JXG.isArray(s1)&&(JXG.isNumber(s2)||JXG.isString(s2))){return[s1[0]+" * "+s2,s1[1]+" * "+s2]}else{return s1+" * "+s2}}}}}}}break;case"div":if(JXG.isString(v1)&&!v1.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v1.match(/JXG\.getRef/)){s1=[v1+".X()",v1+".Y()"]}else{s1=v1}if(JXG.isString(v2)&&!v2.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&v2.match(/JXG\.getRef/)){s2=[v2+".X()",v2+".Y()"]}else{s2=v2}if(JXG.isArray(s1)&&JXG.isArray(s2)){return[s1[0]+" / "+s2[0],s1[1]+" / "+s2[1]]}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&(JXG.isNumber(s2)||JXG.isString(s2))){return s1+" / "+s2}else{if((JXG.isNumber(s1)||JXG.isString(s1))&&JXG.isArray(s2)){return[s1+" / "+s2[0],s1+" / "+s2[1]]}else{if(JXG.isArray(s1)&&(JXG.isNumber(s2)||JXG.isString(s2))){return[s1[0]+" / "+s2,s1[1]+" / "+s2]}else{return s1+" / "+s2}}}}break;case"negmult":if(JXG.GeogebraReader.isGGBVector(v1)){return new Array(1,-1+"*"+v1[1],-1+"*"+v1[2])}return -1+"*"+v1;break;case"bra":if(JXG.GeogebraReader.isGGBVector(v1)){return new Array(1,"("+v1[1]+")","("+v1[2]+")")}return"("+v1+")";break;case"int":return parseInt(v1);break;case"float":return parseFloat(v1);break;case"param":return v1;break;case"html":return v1;break;case"string":if(v2){return[v1,v2]}else{return v1}break;case"command":v2=v1.split("[");s1=v2[0];s2=(v2[1].split("]"))[0];switch(s1.toLowerCase()){case"name":return'JXG.getRef(JXG.GeogebraReader.board, "'+s2+'").getName()';break}break;case"var":if(v2){switch(v1.toLowerCase()){case"x":return v2+".X()";break;case"y":return v2+".Y()";break;case"abs":case"acos":case"asin":case"atan":case"ceil":case"cos":case"exp":case"floor":case"log":case"max":case"min":case"pow":case"random":case"round":case"sin":case"sqrt":case"tan":return"Math."+v1.toLowerCase()+"("+v2+")";break;default:return v1.toLowerCase()+"*("+v2+")";break}}else{if(v1=="PI"){return"Math.PI"}else{a=JXG.GeogebraReader.checkElement(v1);if(typeof JXG.GeogebraReader.board.ggb[v1]!="undefined"){return'JXG.GeogebraReader.board.ggb["'+v1+'"]()'}else{if(typeof a.Value!="undefined"){return'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").Value()'}else{if(typeof a.Area!="undefined"){return'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").Area()'}else{if(typeof a.plaintextStr!="undefined"){return'1.0*JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").plaintextStr'}else{if(a.type==JXG.OBJECT_TYPE_VECTOR){return new Array(1,'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point2.X()-JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point1.X()','JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point2.Y()-JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point1.Y()')}else{if(a.elementClass==JXG.OBJECT_CLASS_LINE){return'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point1.Dist(JXG.getRef(JXG.GeogebraReader.board, "'+v1+'").point2)'}else{return'JXG.getRef(JXG.GeogebraReader.board, "'+v1+'")'}}}}}}}}break}};this.ggbParse=function(exp,element){var element=(element)?JXG.getRef(JXG.GeogebraReader.board,JXG.GeogebraReader.board.ggbElements[element].id):false;if(element){JXG.debug("Zu aktualisierendes Element: "+element.name+"("+element.id+")")}var _dbg_withtrace=false;var _dbg_string=new String();function __dbg_print(text){_dbg_string+=text+"\n"}function __lex(info){var state=0;var match=-1;var match_pos=0;var start=0;var pos=info.offset+1;do{pos--;state=0;match=-2;start=pos;if(info.src.length<=start){return 28}do{switch(state){case 0:if(info.src.charCodeAt(pos)==9||info.src.charCodeAt(pos)==32){state=1}else{if(info.src.charCodeAt(pos)==33){state=2}else{if(info.src.charCodeAt(pos)==40){state=3}else{if(info.src.charCodeAt(pos)==41){state=4}else{if(info.src.charCodeAt(pos)==42){state=5}else{if(info.src.charCodeAt(pos)==43){state=6}else{if(info.src.charCodeAt(pos)==44){state=7}else{if(info.src.charCodeAt(pos)==45){state=8}else{if(info.src.charCodeAt(pos)==47){state=9}else{if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)){state=10}else{if(info.src.charCodeAt(pos)==60){state=11}else{if(info.src.charCodeAt(pos)==62){state=12}else{if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=13}else{if(info.src.charCodeAt(pos)==94){state=14}else{if(info.src.charCodeAt(pos)==34){state=26}else{if(info.src.charCodeAt(pos)==38){state=28}else{if(info.src.charCodeAt(pos)==46){state=29}else{if(info.src.charCodeAt(pos)==61){state=30}else{if(info.src.charCodeAt(pos)==95){state=31}else{if(info.src.charCodeAt(pos)==124){state=32}else{state=-1}}}}}}}}}}}}}}}}}}}}break;case 1:state=-1;match=1;match_pos=pos;break;case 2:if(info.src.charCodeAt(pos)==61){state=15}else{state=-1}match=23;match_pos=pos;break;case 3:state=-1;match=2;match_pos=pos;break;case 4:state=-1;match=3;match_pos=pos;break;case 5:state=-1;match=13;match_pos=pos;break;case 6:state=-1;match=11;match_pos=pos;break;case 7:state=-1;match=16;match_pos=pos;break;case 8:state=-1;match=12;match_pos=pos;break;case 9:state=-1;match=14;match_pos=pos;break;case 10:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)){state=10}else{if(info.src.charCodeAt(pos)==46){state=18}else{state=-1}}match=4;match_pos=pos;break;case 11:if(info.src.charCodeAt(pos)==61){state=19}else{state=-1}match=21;match_pos=pos;break;case 12:if(info.src.charCodeAt(pos)==61){state=21}else{state=-1}match=22;match_pos=pos;break;case 13:if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=13}else{if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)){state=27}else{if(info.src.charCodeAt(pos)==91){state=34}else{if(info.src.charCodeAt(pos)==95){state=35}else{state=-1}}}}match=7;match_pos=pos;break;case 14:state=-1;match=15;match_pos=pos;break;case 15:state=-1;match=20;match_pos=pos;break;case 16:state=-1;match=9;match_pos=pos;break;case 17:state=-1;match=25;match_pos=pos;break;case 18:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)){state=18}else{state=-1}match=5;match_pos=pos;break;case 19:state=-1;match=17;match_pos=pos;break;case 20:state=-1;match=19;match_pos=pos;break;case 21:state=-1;match=18;match_pos=pos;break;case 22:state=-1;match=24;match_pos=pos;break;case 23:state=-1;match=8;match_pos=pos;break;case 24:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)||(info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=24}else{state=-1}match=6;match_pos=pos;break;case 25:state=-1;match=10;match_pos=pos;break;case 26:if(info.src.charCodeAt(pos)==34){state=16}else{if(info.src.charCodeAt(pos)==32||info.src.charCodeAt(pos)==46||(info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)||info.src.charCodeAt(pos)==61||(info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)||info.src.charCodeAt(pos)==223||info.src.charCodeAt(pos)==228||info.src.charCodeAt(pos)==246||info.src.charCodeAt(pos)==252){state=26}else{state=-1}}break;case 27:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)||(info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=27}else{if(info.src.charCodeAt(pos)==95){state=35}else{state=-1}}match=7;match_pos=pos;break;case 28:if(info.src.charCodeAt(pos)==38){state=17}else{if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=33}else{state=-1}}break;case 29:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)){state=18}else{state=-1}break;case 30:if(info.src.charCodeAt(pos)==61){state=20}else{state=-1}break;case 31:if(info.src.charCodeAt(pos)==95){state=36}else{state=-1}break;case 32:if(info.src.charCodeAt(pos)==124){state=22}else{state=-1}break;case 33:if(info.src.charCodeAt(pos)==59){state=23}else{if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=33}else{state=-1}}break;case 34:if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=37}else{state=-1}break;case 35:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)||(info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=27}else{if(info.src.charCodeAt(pos)==95){state=35}else{state=-1}}break;case 36:if((info.src.charCodeAt(pos)>=48&&info.src.charCodeAt(pos)<=57)||(info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=24}else{state=-1}break;case 37:if(info.src.charCodeAt(pos)==93){state=25}else{if((info.src.charCodeAt(pos)>=65&&info.src.charCodeAt(pos)<=90)||(info.src.charCodeAt(pos)>=97&&info.src.charCodeAt(pos)<=122)){state=37}else{state=-1}}break}pos++}while(state>-1)}while(1>-1&&match==1);if(match>-1){info.att=info.src.substr(start,match_pos-start);info.offset=match_pos}else{info.att=new String();match=-1}return match}function __parse(src,err_off,err_la){var sstack=new Array();var vstack=new Array();var err_cnt=0;var act;var go;var la;var rval;var parseinfo=new Function("","var offset; var src; var att;");var info=new parseinfo();var pop_tab=new Array(new Array(0,1),new Array(27,1),new Array(26,5),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,2),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,2),new Array(26,3),new Array(26,3),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,4),new Array(26,1));var act_tab=new Array(new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(28,0),new Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,28,-1),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(11,29,28,-24,17,-24,18,-24,19,-24,20,-24,21,-24,22,-24,12,-24,15,-24,24,-24,25,-24,13,-24,14,-24,16,-24,3,-24),new Array(28,-20,17,-20,18,-20,19,-20,20,-20,21,-20,22,-20,11,-20,12,-20,15,-20,24,-20,25,-20,13,-20,14,-20,16,-20,3,-20),new Array(28,-21,17,-21,18,-21,19,-21,20,-21,21,-21,22,-21,11,-21,12,-21,15,-21,24,-21,25,-21,13,-21,14,-21,16,-21,3,-21),new Array(28,-22,17,-22,18,-22,19,-22,20,-22,21,-22,22,-22,11,-22,12,-22,15,-22,24,-22,25,-22,13,-22,14,-22,16,-22,3,-22),new Array(28,-23,17,-23,18,-23,19,-23,20,-23,21,-23,22,-23,11,-23,12,-23,15,-23,24,-23,25,-23,13,-23,14,-23,16,-23,3,-23),new Array(28,-25,17,-25,18,-25,19,-25,20,-25,21,-25,22,-25,11,-25,12,-25,15,-25,24,-25,25,-25,13,-25,14,-25,16,-25,3,-25),new Array(2,30,28,-27,17,-27,18,-27,19,-27,20,-27,21,-27,22,-27,11,-27,12,-27,15,-27,24,-27,25,-27,13,-27,14,-27,16,-27,3,-27),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,16,44,3,45),new Array(14,-11,13,-11,25,15,24,16,15,-11,12,-11,11,-11,22,-11,21,-11,20,-11,19,-11,18,-11,17,-11,28,-11,16,-11,3,-11),new Array(14,-17,13,-17,25,15,24,16,15,17,12,-17,11,-17,22,20,21,21,20,22,19,23,18,24,17,25,28,-17,16,-17,3,-17),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(14,-16,13,-16,25,15,24,16,15,17,12,-16,11,-16,22,20,21,21,20,22,19,23,18,24,17,25,28,-16,16,-16,3,-16),new Array(14,-15,13,-15,25,15,24,16,15,17,12,-15,11,-15,22,20,21,21,20,22,19,23,18,24,17,25,28,-15,16,-15,3,-15),new Array(14,-14,13,-14,25,-14,24,-14,15,-14,12,-14,11,-14,22,-14,21,-14,20,-14,19,-14,18,-14,17,-14,28,-14,16,-14,3,-14),new Array(14,-13,13,-13,25,-13,24,-13,15,-13,12,-13,11,-13,22,-13,21,-13,20,-13,19,-13,18,-13,17,-13,28,-13,16,-13,3,-13),new Array(14,-12,13,-12,25,15,24,16,15,-12,12,-12,11,-12,22,20,21,21,20,22,19,23,18,24,17,25,28,-12,16,-12,3,-12),new Array(14,13,13,14,25,15,24,16,15,17,12,-10,11,-10,22,20,21,21,20,22,19,23,18,24,17,25,28,-10,16,-10,3,-10),new Array(14,13,13,14,25,15,24,16,15,17,12,-9,11,-9,22,20,21,21,20,22,19,23,18,24,17,25,28,-9,16,-9,3,-9),new Array(14,-8,13,-8,25,15,24,16,15,-8,12,-8,11,-8,22,-8,21,-8,20,-8,19,-8,18,-8,17,-8,28,-8,16,-8,3,-8),new Array(14,-7,13,-7,25,15,24,16,15,-7,12,-7,11,-7,22,-7,21,-7,20,-7,19,-7,18,-7,17,-7,28,-7,16,-7,3,-7),new Array(14,-6,13,-6,25,15,24,16,15,-6,12,-6,11,-6,22,-6,21,-6,20,-6,19,-6,18,-6,17,-6,28,-6,16,-6,3,-6),new Array(14,-5,13,-5,25,15,24,16,15,-5,12,-5,11,-5,22,-5,21,-5,20,-5,19,-5,18,-5,17,-5,28,-5,16,-5,3,-5),new Array(14,-4,13,-4,25,15,24,16,15,-4,12,-4,11,-4,22,-4,21,-4,20,-4,19,-4,18,-4,17,-4,28,-4,16,-4,3,-4),new Array(14,-3,13,-3,25,15,24,16,15,-3,12,-3,11,-3,22,-3,21,-3,20,-3,19,-3,18,-3,17,-3,28,-3,16,-3,3,-3),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(28,-18,17,-18,18,-18,19,-18,20,-18,21,-18,22,-18,11,-18,12,-18,15,-18,24,-18,25,-18,13,-18,14,-18,16,-18,3,-18),new Array(14,13,13,14,25,15,24,16,15,17,12,-19,11,-19,22,20,21,21,20,22,19,23,18,24,17,25,28,-19,16,-19,3,-19),new Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,3,49),new Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,3,50),new Array(28,-26,17,-26,18,-26,19,-26,20,-26,21,-26,22,-26,11,-26,12,-26,15,-26,24,-26,25,-26,13,-26,14,-26,16,-26,3,-26),new Array(28,-2,17,-2,18,-2,19,-2,20,-2,21,-2,22,-2,11,-2,12,-2,15,-2,24,-2,25,-2,13,-2,14,-2,16,-2,3,-2));var goto_tab=new Array(new Array(27,1,26,2),new Array(),new Array(),new Array(26,26),new Array(26,27),new Array(26,28),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(26,31),new Array(26,32),new Array(26,33),new Array(26,34),new Array(26,35),new Array(26,36),new Array(26,37),new Array(26,38),new Array(26,39),new Array(26,40),new Array(26,41),new Array(26,42),new Array(26,43),new Array(),new Array(),new Array(),new Array(26,46),new Array(26,47),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(),new Array(26,48),new Array(),new Array(),new Array(),new Array(),new Array(),new Array());var labels=new Array("p'","WHITESPACE","(",")","INT","FLOAT","PARAM","VAR","HTML","STRING","COMMAND","+","-","*","/","^",",","<=",">=","==","!=","<",">","!","||","&&","e","p","$");info.offset=0;info.src=src;info.att=new String();if(!err_off){err_off=new Array()}if(!err_la){err_la=new Array()}sstack.push(0);vstack.push(0);la=__lex(info);while(true){act=52;for(var i=0;i<act_tab[sstack[sstack.length-1]].length;i+=2){if(act_tab[sstack[sstack.length-1]][i]==la){act=act_tab[sstack[sstack.length-1]][i+1];break}}if(_dbg_withtrace&&sstack.length>0){__dbg_print("\nState "+sstack[sstack.length-1]+"\n\tLookahead: "+labels[la]+' ("'+info.att+'")\n\tAction: '+act+'\n\tSource: "'+info.src.substr(info.offset,30)+((info.offset+30<info.src.length)?"...":"")+'"\n\tStack: '+sstack.join()+"\n\tValue stack: "+vstack.join()+"\n")}if(act==52){if(_dbg_withtrace){__dbg_print("Error detected: There is no reduce or shift on the symbol "+labels[la])}err_cnt++;err_off.push(info.offset-info.att.length);err_la.push(new Array());for(var i=0;i<act_tab[sstack[sstack.length-1]].length;i+=2){err_la[err_la.length-1].push(labels[act_tab[sstack[sstack.length-1]][i]])}var rsstack=new Array();var rvstack=new Array();for(var i=0;i<sstack.length;i++){rsstack[i]=sstack[i];rvstack[i]=vstack[i]}while(act==52&&la!=28){if(_dbg_withtrace){__dbg_print("\tError recovery\nCurrent lookahead: "+labels[la]+" ("+info.att+")\nAction: "+act+"\n\n")}if(la==-1){info.offset++}while(act==52&&sstack.length>0){sstack.pop();vstack.pop();if(sstack.length==0){break}act=52;for(var i=0;i<act_tab[sstack[sstack.length-1]].length;i+=2){if(act_tab[sstack[sstack.length-1]][i]==la){act=act_tab[sstack[sstack.length-1]][i+1];break}}}if(act!=52){break}for(var i=0;i<rsstack.length;i++){sstack.push(rsstack[i]);vstack.push(rvstack[i])}la=__lex(info)}if(act==52){if(_dbg_withtrace){__dbg_print("\tError recovery failed, terminating parse process...")}break}if(_dbg_withtrace){__dbg_print("\tError recovery succeeded, continuing")}}if(act>0){if(_dbg_withtrace){__dbg_print("Shifting symbol: "+labels[la]+" ("+info.att+")")}sstack.push(act);vstack.push(info.att);la=__lex(info);if(_dbg_withtrace){__dbg_print("\tNew lookahead symbol: "+labels[la]+" ("+info.att+")")}}else{act*=-1;if(_dbg_withtrace){__dbg_print("Reducing by producution: "+act)}rval=void (0);if(_dbg_withtrace){__dbg_print("\tPerforming semantic action...")}switch(act){case 0:rval=vstack[vstack.length-1];break;case 1:rval=JXG.GeogebraReader.ggbAct("end",vstack[vstack.length-1]);break;case 2:rval=JXG.GeogebraReader.ggbAct("coord",vstack[vstack.length-4],vstack[vstack.length-2],element);break;case 3:rval=JXG.GeogebraReader.ggbAct("le",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 4:rval=JXG.GeogebraReader.ggbAct("ge",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 5:rval=JXG.GeogebraReader.ggbAct("eq",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 6:rval=JXG.GeogebraReader.ggbAct("neq",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 7:rval=JXG.GeogebraReader.ggbAct("lt",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 8:rval=JXG.GeogebraReader.ggbAct("gt",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 9:rval=JXG.GeogebraReader.ggbAct("add",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 10:rval=JXG.GeogebraReader.ggbAct("sub",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 11:rval=JXG.GeogebraReader.ggbAct("neg",vstack[vstack.length-1]);break;case 12:rval=JXG.GeogebraReader.ggbAct("pow",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 13:rval=JXG.GeogebraReader.ggbAct("or",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 14:rval=JXG.GeogebraReader.ggbAct("and",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 15:rval=JXG.GeogebraReader.ggbAct("mul",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 16:rval=JXG.GeogebraReader.ggbAct("div",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 17:rval=JXG.GeogebraReader.ggbAct("negmult",vstack[vstack.length-1]);break;case 18:rval=JXG.GeogebraReader.ggbAct("bra",vstack[vstack.length-2]);break;case 19:rval=JXG.GeogebraReader.ggbAct("string",vstack[vstack.length-3],vstack[vstack.length-1]);break;case 20:rval=JXG.GeogebraReader.ggbAct("int",vstack[vstack.length-1]);break;case 21:rval=JXG.GeogebraReader.ggbAct("float",vstack[vstack.length-1]);break;case 22:rval=JXG.GeogebraReader.ggbAct("param",vstack[vstack.length-1]);break;case 23:rval=JXG.GeogebraReader.ggbAct("html",vstack[vstack.length-1]);break;case 24:rval=JXG.GeogebraReader.ggbAct("string",vstack[vstack.length-1]);break;case 25:rval=JXG.GeogebraReader.ggbAct("command",vstack[vstack.length-1]);break;case 26:rval=JXG.GeogebraReader.ggbAct("var",vstack[vstack.length-4],vstack[vstack.length-2]);break;case 27:rval=JXG.GeogebraReader.ggbAct("var",vstack[vstack.length-1]);break}if(_dbg_withtrace){__dbg_print("\tPopping "+pop_tab[act][1]+" off the stack...")}for(var i=0;i<pop_tab[act][1];i++){sstack.pop();str=vstack.pop()}go=-1;for(var i=0;i<goto_tab[sstack[sstack.length-1]].length;i+=2){if(goto_tab[sstack[sstack.length-1]][i]==pop_tab[act][0]){go=goto_tab[sstack[sstack.length-1]][i+1];break}}if(act==0){break}if(_dbg_withtrace){__dbg_print("\tPushing non-terminal "+labels[pop_tab[act][0]])}sstack.push(go);vstack.push(rval)}if(_dbg_withtrace){JXG.debug(_dbg_string);_dbg_string=new String()}}if(_dbg_withtrace){__dbg_print("\nParse complete.");JXG.debug(_dbg_string)}return err_cnt}var error_offsets=new Array();var error_lookaheads=new Array();var error_count=0;var str=exp;if((error_count=__parse(str,error_offsets,error_lookaheads))>0){var errstr=new String();for(var i=0;i<error_count;i++){errstr+="Parse error in line "+(str.substr(0,error_offsets[i]).match(/\n/g)?str.substr(0,error_offsets[i]).match(/\n/g).length:1)+' near "'+str.substr(error_offsets[i])+'", expecting "'+error_lookaheads[i].join()+'"\n'}JXG.debug(errstr)}return str};this.setDefaultOptions=function(board){board.options.elements.strokeWidth="1px";board.options.elements.withLabel=true;board.options.point.face="circle";board.options.point.size=3;board.options.point.fillColor="blue";board.options.point.fillOpacity=1;board.options.point.highlightFillOpacity=1;board.options.point.strokeColor="black";board.options.point.highlightStrokeColor="black";board.options.point.strokeWidth="2px";board.options.line.strokeWidth="1px";board.options.line.highlightStrokeColor="#000000";board.options.line.strokeColor="#000000";board.options.polygon.fillColor=JXG.rgb2hex(153,51,0);board.options.polygon.fillOpacity=0.1;board.options.polygon.highlightFillColor=board.options.polygon.fillColor;board.options.polygon.highlightFillOpacity=0.1;board.options.sector.fillColor=JXG.rgb2hex(153,51,0);board.options.sector.fillOpacity=0.1;board.options.sector.highlightFillColor=board.options.sector.fillColor;board.options.sector.highlightFillOpacity=0.1;board.options.angle.fillColor=JXG.rgb2hex(0,100,0);board.options.angle.fillOpacity=0.1;board.options.angle.highlightFillOpacity=0.1;return board};this.colorProperties=function(Data,attr){var a,r,g,b;a=(Data.getElementsByTagName("objColor").length>0&&Data.getElementsByTagName("objColor")[0].getAttribute("alpha"))?parseFloat(Data.getElementsByTagName("objColor")[0].getAttribute("alpha")):0;r=(Data.getElementsByTagName("objColor").length>0&&Data.getElementsByTagName("objColor")[0].getAttribute("r"))?parseInt(Data.getElementsByTagName("objColor")[0].getAttribute("r")).toString(16):0;g=(Data.getElementsByTagName("objColor").length>0&&Data.getElementsByTagName("objColor")[0].getAttribute("g"))?parseInt(Data.getElementsByTagName("objColor")[0].getAttribute("g")).toString(16):0;b=(Data.getElementsByTagName("objColor").length>0&&Data.getElementsByTagName("objColor")[0].getAttribute("b"))?parseInt(Data.getElementsByTagName("objColor")[0].getAttribute("b")).toString(16):0;if(r.length==1){r="0"+r}if(g.length==1){g="0"+g}if(b.length==1){b="0"+b}attr.fillColor="#"+r+g+b;attr.strokeColor=attr.fillColor;attr.highlightFillColor=attr.fillColor;attr.highlightStrokeColor=attr.strokeColor;attr.fillOpacity=a;attr.highlightFillOpacity=a;attr.labelColor=attr.fillColor;return attr};this.boardProperties=function(gxtEl,Data,attr){return attr};this.coordinates=function(gxtEl,Data){var labelOffset={},tmp;labelOffset.x=0;labelOffset.y=0;labelOffset.z=0;if(Data.getElementsByTagName("labelOffset")[0]){labelOffset.x=parseFloat(Data.getElementsByTagName("labelOffset")[0].getAttribute("x"))/JXG.GeogebraReader.board.unitX;labelOffset.y=parseFloat(Data.getElementsByTagName("labelOffset")[0].getAttribute("y"))/JXG.GeogebraReader.board.unitY}if(Data.getElementsByTagName("coords")[0]){gxtEl.x=parseFloat(Data.getElementsByTagName("coords")[0].getAttribute("x"));gxtEl.y=parseFloat(Data.getElementsByTagName("coords")[0].getAttribute("y"));gxtEl.z=parseFloat(Data.getElementsByTagName("coords")[0].getAttribute("z"))}else{if(Data.getElementsByTagName("startPoint")[0]){if(Data.getElementsByTagName("startPoint")[0].getAttribute("exp")){var a=JXG.getRef(JXG.GeogebraReader.board,Data.getElementsByTagName("startPoint")[0].getAttribute("exp"));gxtEl.x=function(){return a.X()+labelOffset.x};gxtEl.y=function(){return a.Y()-labelOffset.y};gxtEl.z=false}else{gxtEl.x=parseFloat(Data.getElementsByTagName("startPoint")[0].getAttribute("x"));gxtEl.y=parseFloat(Data.getElementsByTagName("startPoint")[0].getAttribute("y"));gxtEl.z=parseFloat(Data.getElementsByTagName("startPoint")[0].getAttribute("z"))}}else{if(Data.getElementsByTagName("absoluteScreenLocation")[0]){var tmp=new JXG.Coords(JXG.COORDS_BY_SCREEN,[parseFloat(Data.getElementsByTagName("absoluteScreenLocation")[0].getAttribute("x")),parseFloat(Data.getElementsByTagName("absoluteScreenLocation")[0].getAttribute("y"))],JXG.GeogebraReader.board);gxtEl.x=tmp.usrCoords[1]+labelOffset.x;gxtEl.y=tmp.usrCoords[2]+labelOffset.y;gxtEl.z=false}else{return false}}}return gxtEl};this.visualProperties=function(Data,attr){(Data.getElementsByTagName("show").length!=0&&Data.getElementsByTagName("show")[0].getAttribute("object"))?attr.visible=Data.getElementsByTagName("show")[0].getAttribute("object"):false;(Data.getElementsByTagName("show").length!=0&&Data.getElementsByTagName("show")[0].getAttribute("label"))?attr.withLabel=Data.getElementsByTagName("show")[0].getAttribute("label"):true;if(attr.withLabel=="true"){attr.withLabel=true}else{if(attr.withLabel=="false"){attr.withLabel=false}}(Data.getElementsByTagName("pointSize")[0])?attr.size=Data.getElementsByTagName("pointSize")[0].getAttribute("val"):false;(Data.getElementsByTagName("pointStyle")[0])?attr.styleGGB=Data.getElementsByTagName("pointStyle")[0].getAttribute("val"):false;if(attr.styleGGB==0||attr.styleGGB==2){attr.face="circle";if(attr.styleGGB==0){attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}else{if(attr.styleGGB==2){attr.fillColor="none"}}}else{if(attr.styleGGB==1){attr.face="x"}else{if(attr.styleGGB==3){attr.face="+";attr.strokeOpacity=1}else{if(attr.styleGGB==4||attr.styleGGB==5){attr.face="diamond";if(attr.styleGGB==4){attr.fillColor=attr.strokeColor;attr.fillOpacity=1}else{if(attr.styleGGB==5){attr.fillColor="none"}}}else{if(attr.styleGGB==6){attr.face="triangleUp";attr.fillColor=attr.strokeColor;attr.fillOpacity=1}else{if(attr.styleGGB==7){attr.face="triangleDown";attr.fillColor=attr.strokeColor;attr.fillOpacity=1}else{if(attr.styleGGB==8){attr.face="triangleRight";attr.fillColor=attr.strokeColor;attr.fillOpacity=1}else{if(attr.styleGGB==9){attr.face="triangleLeft";attr.fillColor=attr.strokeColor;attr.fillOpacity=1}}}}}}}}(Data.getElementsByTagName("slopeTriangleSize")[0])?attr.slopeWidth=Data.getElementsByTagName("slopeTriangleSize")[0].getAttribute("val"):false;(Data.getElementsByTagName("lineStyle")[0])?attr.strokeWidth=(Data.getElementsByTagName("lineStyle")[0].getAttribute("thickness")/2)+"px":false;if(attr.strokeWidth){attr.highlightStrokeWidth=(1*attr.strokeWidth.substr(0,attr.strokeWidth.length-2)+1)+"px"}(Data.getElementsByTagName("lineStyle")[0])?attr.dashGGB=Data.getElementsByTagName("lineStyle")[0].getAttribute("type"):false;if(attr.dashGGB==0){attr.dash=0}else{if(attr.dashGGB==10){attr.dash=2}else{if(attr.dashGGB==15){attr.dash=3}else{if(attr.dashGGB==20){attr.dash=1}else{if(attr.dashGGB==30){attr.dash=6}}}}}(Data.getElementsByTagName("labelOffset")[0])?attr.labelX=1*Data.getElementsByTagName("labelOffset")[0].getAttribute("x"):false;(Data.getElementsByTagName("labelOffset")[0])?attr.labelY=1*Data.getElementsByTagName("labelOffset")[0].getAttribute("y"):false;(Data.getElementsByTagName("trace")[0])?attr.trace=Data.getElementsByTagName("trace")[0].getAttribute("val"):false;(Data.getElementsByTagName("fix")[0])?attr.fixed=Data.getElementsByTagName("fix")[0].getAttribute("val"):false;return attr};this.getElement=function(name,expr){var Data,i,j;expr=expr||false;for(i=0;i<JXG.GeogebraReader.tree.getElementsByTagName("construction").length;i++){if(expr==false){for(j=0;j<JXG.GeogebraReader.tree.getElementsByTagName("construction")[i].getElementsByTagName("element").length;j++){Data=JXG.GeogebraReader.tree.getElementsByTagName("construction")[i].getElementsByTagName("element")[j];if(name==Data.getAttribute("label")){return Data}}}else{for(j=0;j<JXG.GeogebraReader.tree.getElementsByTagName("construction")[i].getElementsByTagName("expression").length;j++){Data=JXG.GeogebraReader.tree.getElementsByTagName("construction")[i].getElementsByTagName("expression")[j];if(name==Data.getAttribute("label")){return Data}}}}return false};this.checkElement=function(name){if(typeof JXG.GeogebraReader.board.ggbElements[name]=="undefined"||JXG.GeogebraReader.board.ggbElements[name]==""){var input=JXG.GeogebraReader.getElement(name);JXG.GeogebraReader.board.ggbElements[name]=JXG.GeogebraReader.writeElement(JXG.GeogebraReader.board,input)}return JXG.GeogebraReader.board.ggbElements[name]};this.functionParse=function(type,exp){var input,vars,expr,output,i,s,o;switch(type){case"c":if(exp.match(/[a-zA-Z0-9\']+\([a-zA-Z0-9]+[a-zA-Z0-9,\ ]*\)[\ ]*[=][\ ]*[a-zA-Z0-9\+\-\*\/ \( \) \u005E]+/)){input=exp.split("(")[1].split(")")[0];vars=input.split(", ");output=[];for(i=0;i<vars.length;i++){output.push("__"+vars[i])}expr=exp.split("=")[1];for(i=0;i<vars.length;i++){if(vars[i]=="x"){expr=expr.replace(/(?![e])x(?!\()(?![p])/g,"__"+vars[i])}else{if(vars[i]=="y"){expr=expr.replace(/(?![e])y(?!\()(?![p])/g,"__"+vars[i])}else{expr=expr.replace(eval("/"+vars[i]+"/g"),"__"+vars[i])}}}expr=expr.replace(/-__/g,"-1*__");if(JXG.GeogebraReader.format<=3.01){s=expr.split(" ");o="";for(var i=0;i<s.length;i++){if(s.length!=i+1){if(s[i].search(/\)$/)>-1||s[i].search(/[0-9]+$/)>-1||s[i].search(/[a-zA-Z]+(\_*[a-zA-Z0-9]+)*$/)>-1){if(s[i+1].search(/^\(/)>-1||s[i+1].search(/^[0-9]+/)>-1||s[i+1].search(/^[a-zA-Z]+(\_*[a-zA-Z0-9]+)*/)>-1||s[i+1].search(/\_\_[a-zA-Z0-9]+/)>-1){s[i]=s[i]+"*"}}}o+=s[i]}expr=o}output.push(expr);return output}else{return exp}break;case"s":exp=exp.replace(/(?![e])x(?!\()(?![p])/g,"__x");return["__x",exp];break;default:if(JXG.GeogebraReader.format<=3.01){s=exp.split(" ");o="";for(i=0;i<s.length;i++){if(s.length!=i+1){if(s[i].search(/\)$/)>-1||s[i].search(/[0-9]+$/)>-1||s[i].search(/[a-zA-Z]+(\_*[a-zA-Z0-9]+)*$/)>-1){if(s[i+1].search(/^\(/)>-1||s[i+1].search(/^[0-9]+/)>-1||s[i+1].search(/^[a-zA-Z]+(\_*[a-zA-Z0-9]+)*/)>-1||s[i+1].search(/\_\_[a-zA-Z0-9]+/)>-1){s[i]=s[i]+"*"}}}o+=s[i]}exp=o}return exp;break}};this.writeBoard=function(board){var boardData=JXG.GeogebraReader.tree.getElementsByTagName("euclidianView")[0];board.origin={};board.origin.usrCoords=[1,0,0];board.origin.scrCoords=[1,1*boardData.getElementsByTagName("coordSystem")[0].getAttribute("xZero"),1*boardData.getElementsByTagName("coordSystem")[0].getAttribute("yZero")];board.unitX=(boardData.getElementsByTagName("coordSystem")[0].getAttribute("scale"))?1*boardData.getElementsByTagName("coordSystem")[0].getAttribute("scale"):1;board.unitY=(boardData.getElementsByTagName("coordSystem")[0].getAttribute("yscale"))?1*boardData.getElementsByTagName("coordSystem")[0].getAttribute("yscale"):board.unitX;board.fontSize=(JXG.GeogebraReader.tree.getElementsByTagName("gui")[0]&&JXG.GeogebraReader.tree.getElementsByTagName("gui")[0].getElementsByTagName("font")[0])?1*JXG.GeogebraReader.tree.getElementsByTagName("gui")[0].getElementsByTagName("font")[0].getAttribute("size"):"12px";JXG.JSXGraph.boards[board.id]=board;board.renderer.enhancedRendering=true;var snapToPoint=(boardData.getElementsByTagName("evSettings")[0].getAttribute("pointCapturing")=="true");var grid=(boardData.getElementsByTagName("evSettings")[0].getAttribute("grid")=="true")?board.create("grid"):null;if(boardData.getElementsByTagName("evSettings")[0].getAttribute("axes")&&boardData.getElementsByTagName("evSettings")[0].getAttribute("axes")=="true"){board.ggbElements.xAxis=board.create("axis",[[0,0],[1,0]],{strokeColor:"black",minorTicks:0});board.ggbElements.yAxis=board.create("axis",[[0,0],[0,1]],{strokeColor:"black",minorTicks:0})}};this.writeElement=function(board,output,input,cmd){var element,gxtEl,attr,p,exp,coord,type,points,border,length,m,s,e,sx,sy,ex,ey,func,range;element=(JXG.isArray(output))?output[0]:output;gxtEl={};attr={};JXG.debug(element);gxtEl.type=(element&&element.attributes&&typeof cmd==="undefined")?element.getAttribute("type").toLowerCase():cmd;gxtEl.label=element.getAttribute("label");attr.name=gxtEl.label;JXG.debug("<br><b>Konstruiere</b> "+attr.name+"("+gxtEl.type+"):");switch(gxtEl.type){case"point":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);attr=JXG.GeogebraReader.visualProperties(element,attr);if(JXG.GeogebraReader.getElement(attr.name,true)){exp=JXG.GeogebraReader.getElement(attr.name,true).getAttribute("exp");coord=JXG.GeogebraReader.ggbParse(exp);gxtEl.x=new Function("return "+coord[0]+";");gxtEl.y=new Function("return "+coord[1]+";")}else{gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element)}if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}JXG.debug(gxtEl);JXG.debug(input);try{var ma=/Circle\[\s*(\w+)\s*,\s*([\d\.]+)\s*\]/.exec(input);if(typeof input!="undefined"){if(ma!=null&&ma.length==3){var q=JXG.GeogebraReader.checkElement(ma[1]);var c=board.create("circle",[q,parseFloat(ma[2])],{fillColor:"none",visible:false,name:""});p=board.create("glider",[gxtEl.x,gxtEl.y,c],attr)}else{if(JXG.isArray(input)){p=board.create("glider",[gxtEl.x,gxtEl.y,input[0]],attr)}else{p=board.create("glider",[gxtEl.x,gxtEl.y,input],attr)}}}else{p=board.create("point",[gxtEl.x,gxtEl.y],attr)}return p}catch(e){JXG.debug("* <b>Err:</b> Point "+attr.name+"<br>\n");return false}break;case"segment":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Segment:</b> ("+attr.name+") First: "+input[0].name+", Last: "+input[1].name+"<br>\n");attr.straightFirst=false;attr.straightLast=false;p=board.create("line",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Segment "+attr.name+" First: "+input[0].name+", Last: "+input[1].name+"<br>\n");return false}break;case"line":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);type="line";if(!input){input=[parseFloat(element.getElementsByTagName("coords")[0].getAttribute("z")),parseFloat(element.getElementsByTagName("coords")[0].getAttribute("x")),parseFloat(element.getElementsByTagName("coords")[0].getAttribute("y"))]}else{if(JXG.getRef(board,input[1].id).elementClass==JXG.OBJECT_CLASS_LINE){type="parallel"}}try{p=board.create(type,input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Line "+attr.label+"<br>\n");return false}break;case"orthogonalline":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Orthogonalline:</b> First: "+input[0].id+", Last: "+input[1].id+"<br>\n");p=board.create("normal",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Orthogonalline "+attr.label+"<br>\n");return false}break;case"polygon":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);if(input.length==3&&output.length!=4){input[2]=parseInt(input[2]);type="regular"}try{JXG.debug("* <b>Polygon:</b> First: "+input[0].name+", Second: "+input[1].name+", Third: "+input[2]+"<br>\n");var borders=[];var borderatts=[];length=(type=="regular")?output.length-input[2]+2:output.length;for(var i=1;i<length;i++){borders[i-1]={};borderatts[i-1]={};borders[i-1].id="";borders[i-1].name=output[i].getAttribute("label");borderatts[i-1]=JXG.GeogebraReader.colorProperties(output[i],borderatts[i-1]);borderatts[i-1]=JXG.GeogebraReader.visualProperties(output[i],borderatts[i-1])}attr.borders=borders;points=[];if(type=="regular"){points.push(input[0]);points.push(input[1]);for(i=input[2]+1;i<output.length;i++){if(output[i].attributes){points.push(JXG.GeogebraReader.checkElement(output[i].getAttribute("label")))}else{points.push(output[i])}}}else{for(i=0;i<input.length;i++){if(typeof input[i]==="object"){points.push(input[i])}}}if(type=="regular"){p=board.create("regularpolygon",points,attr)}else{p=board.create("polygon",points,attr)}for(i=0;i<p.borders.length;i++){if(borderatts[i].withLabel){p.borders[i].createLabel()}p.borders[i].setProperty(borderatts[i])}return p}catch(e){JXG.debug("* <b>Err:</b> Polygon "+attr.name+"<br>\n");return false}break;case"intersect":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Intersection:</b> First: "+input[0].name+", Second: "+input[1].name+"<br>\n");if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}if(output.length==1){p=board.create("intersection",[input[0],input[1],0],attr)}else{p=board.create("intersection",[input[0],input[1],1],attr);var attr2={};attr2=JXG.GeogebraReader.colorProperties(output[1],attr2);attr2=JXG.GeogebraReader.visualProperties(output[1],attr2);attr2.name=output[1].getAttribute("label");var p2=board.create("otherintersection",[input[0],input[1],p],attr2);board.ggbElements[attr2.name]=p2}return p}catch(e){JXG.debug("* <b>Err:</b> Intersection "+attr.name+"<br>\n");return false}break;case"distance":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Distance:</b> First: "+input[0].name+", Second: "+input[1].name+"<br>\n");if(false&&output[0].getAtribute("type")&&output[0].getAttribute("type")=="numeric"){input[1].Value=function(){return this.X()};p=input[1];board.elementsByName[attr.name]=p}else{m=board.create("midpoint",input,{visible:"false"});attr.visible="true";p=board.create("text",[function(){return m.X()},function(){return m.Y()},function(){return"<span style='text-decoration: overline'>"+input[0].name+input[1].name+"</span> = "+JXG.trimNumber(JXG.getRef(board,input[0].id).Dist(JXG.getRef(board,input[1].id)).toFixed(JXG.GeogebraReader.decimals))}],attr);p.Value=function(){return(JXG.getRef(board,input[0].id).Dist(JXG.getRef(board,input[1].id)))}}return p}catch(e){JXG.debug("* <b>Err:</b> Distance "+attr.name+"<br>\n");return false}break;case"vector":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);if(element.getElementsByTagName("startPoint")[0]){if(input&&input.length==2){e=JXG.GeogebraReader.checkElement(input[1].name)}else{e=[parseFloat(element.getElementsByTagName("coords")[0].getAttribute("x")),parseFloat(element.getElementsByTagName("coords")[0].getAttribute("y"))]}if(element.getElementsByTagName("startPoint")[0].getAttribute("x")&&element.getElementsByTagName("startPoint")[0].getAttribute("y")){s=[parseFloat(element.getElementsByTagName("startPoint")[0].getAttribute("x")),parseFloat(element.getElementsByTagName("startPoint")[0].getAttribute("y"))]}else{if(element.getElementsByTagName("startPoint")[0].getAttribute("exp")){var startpoint=element.getElementsByTagName("startPoint")[0].getAttribute("exp");s=JXG.GeogebraReader.checkElement(startpoint)}}}else{if(input&&input.length!=0){s=input[0];e=input[1]}else{exp=JXG.GeogebraReader.getElement(element.getAttribute("label"),true);if(exp){exp=exp.getAttribute("exp");exp=JXG.GeogebraReader.ggbParse(exp);if(JXG.isArray(exp)){exp=new Array(new Function("return "+exp[1]+";"),new Function("return "+exp[2]+";"))}else{exp=new Function("return "+exp+";")}JXG.debug("exp: "+exp);p=board.create("arrow",[[0,0],[exp[0],exp[1]]],attr);return p}}}try{JXG.debug("* <b>Vector:</b> First: "+attr.name);p=board.create("arrow",[s,e],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Vector "+attr.name+e+"<br>\n");return false}break;case"rotate":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Rotate:</b> First: "+input[0].name+", Second: "+input[1]+"<br>\n");attr.type="rotate";if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}t=board.create("transform",[parseInt(input[1])*Math.PI/180,input[2]],{type:"rotate"});p=board.create("point",[input[0],t],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Rotate "+attr.name+"<br>\n");return false}break;case"dilate":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Dilate:</b> First: "+input[0].name+", Second: "+input[1]+"<br>\n");attr.type="rotate";var d=parseInt(input[1]);var d1=board.create("transform",[d,d],{type:"scale"});var d2=board.create("transform",[function(){return(1-d)*input[2].X()},function(){return(1-d)*input[2].Y()}],{type:"translate"});if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}p=board.create("point",[input[0],[d1,d2]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Dilate "+attr.name+"<br>\n");return false}break;case"translate":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{t=board.create("transform",[function(){return input[1].point2.X()-input[1].point1.X()},function(){return input[1].point2.Y()-input[1].point1.Y()}],{type:"translate"});if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}p=board.create("point",[input[0],t],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Translate "+attr.name+"<br>\n");return false}break;case"mirror":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);if(JXG.isPoint(JXG.getRef(board,input[1].id))){var type="mirrorpoint"}else{if(JXG.getRef(board,input[1].id).elementClass==JXG.OBJECT_CLASS_LINE){var type="reflection"}}try{JXG.debug("* <b>Mirror:</b> First: "+input[0].name+", Second: "+input[1].name+"<br>\n");p=board.create(type,[input[1],input[0]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Mirror "+attr.name+"<br>\n");return false}break;case"circle":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Circle:</b> First: "+input[0].name+", Second: "+input[1]+"<br>\n");p=board.create("circle",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Circle "+attr.name+"<br>\n");return false}break;case"circlearc":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>CircleArc:</b> First: "+input[0].name+", Second: "+input[1].name+"<br>\n");p=board.create("arc",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> CircleArc "+attr.name+"<br>\n");return false}break;case"ellipse":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Ellipse:</b> First: "+input[0].name+", Second: "+input[1].name+", Third: "+input[2]+"<br>\n");if(parseInt(input[2])==input[2]){input[2]=parseInt(input[2]*2)}p=board.create("ellipse",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Ellipse "+attr.name+"<br>\n");return false}break;case"conic":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);if(input&&input.length==5){p=board.create("conic",input,attr)}else{if(element.getElementsByTagName("matrix")){m=[];for(var i=0;i<element.getElementsByTagName("matrix")[0].attributes.length;i++){m[i]=parseFloat(element.getElementsByTagName("matrix")[0].attributes[i].value)}p=board.create("conic",m,attr)}}return p;break;case"circlesector":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>CircleSector:</b> First: "+input[0].name+", Second: "+input[1].name+", Third: "+input[2].name+"<br>\n");p=board.create("sector",[input[0],input[1],input[2]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> CircleSector "+attr.name+"<br>\n");return false}break;case"linebisector":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>LineBiSector (Mittelsenkrechte):</b> First: "+input[0].name+"<br>\n");m=board.create("midpoint",input,{visible:false});if(JXG.isPoint(JXG.getRef(board,input[0].id))&&JXG.isPoint(JXG.getRef(board,input[1].id))){t=board.create("line",input,{visible:"false"});p=board.create("perpendicular",[m,t],attr)}else{p=board.create("perpendicular",[m,input[0]],attr)}return p}catch(e){JXG.debug("* <b>Err:</b> LineBiSector (Mittelsenkrechte) "+attr.name+"<br>\n");return false}break;case"ray":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Ray:</b> First: "+input[0].name+"<br>\n");attr.straightFirst=true;attr.straightLast=false;p=board.create("line",[input[1],input[0]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Ray "+attr.name+"<br>\n");return false}break;case"tangent":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Tangent:</b> First: "+input[0].name+", Sec.: "+input[1].name+"("+input[1].type+")<br>\n");switch(input[1].type){case 1330923344:input[0].makeGlider(input[1]);p=board.create("tangent",[input[0]],attr);return p;break;case 1330922316:case 1330922319:var pol=board.create("polar",[input[1],input[0]],{visible:false});var i1=board.create("intersection",[input[1],pol,0],{visible:false});var i2=board.create("intersection",[input[1],pol,1],{visible:false});var t1=board.create("line",[input[0],i1],attr);var attr2={};attr2=JXG.GeogebraReader.colorProperties(output[1],attr2);attr2=JXG.GeogebraReader.visualProperties(output[1],attr2);attr2.name=output[1].getAttribute("label");var t2=board.create("line",[input[0],i2],attr2);board.ggbElements[attr2.name]=t2;return[t1,t2];break}}catch(e){JXG.debug("* <b>Err:</b> Tangent "+attr.name+" "+attr2.name+"<br>\n");return false}break;case"circumcirclearc":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>CircumcircleArc:</b> First: "+input[0].name+"<br>\n");p=board.create("circumcirclearc",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> CircumcircleArc "+attr.name+"<br>\n");return false}break;case"circumcirclesector":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>CircumcircleSector:</b> First: "+input[0].name+"<br>\n");p=board.create("circumcirclesector",[input[0],input[1],input[2]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> CircumcircleSector "+attr.name+"<br>\n");return false}break;case"semicircle":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Semicircle:</b> First: "+input[0].name+"<br>\n");p=board.create("semicircle",[input[0],input[1]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Semicircle "+attr.name+"<br>\n");return false}break;case"angle":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Angle:</b> First: "+input[0].name+"<br>\n");p=board.create("angle",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Angle "+attr.name+"<br>\n");return false}break;case"angularbisector":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);attr.straightFirst=true;attr.straightLast=true;try{JXG.debug("* <b>Angularbisector:</b> First: "+input[0].name+"<br>\n");p=board.create("bisector",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Angularbisector "+attr.name+"<br>\n");return false}break;case"numeric":if(element.getElementsByTagName("slider").length==0){exp=JXG.GeogebraReader.getElement(element.getAttribute("label"),true);if(exp){exp=exp.getAttribute("exp");exp=JXG.GeogebraReader.functionParse("",exp);exp=JXG.GeogebraReader.ggbParse(exp)}board.ggb[attr.name]=new Function("return "+exp+";");JXG.debug("value: "+board.ggb[attr.name]());return board.ggb[attr.name]}else{attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);attr=JXG.GeogebraReader.visualProperties(element,attr);if(element.getElementsByTagName("slider").length==1){sx=parseFloat(element.getElementsByTagName("slider")[0].getAttribute("x"));sy=parseFloat(element.getElementsByTagName("slider")[0].getAttribute("y"));length=parseFloat(element.getElementsByTagName("slider")[0].getAttribute("width"));if(element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")&&element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")=="true"){var tmp=new JXG.Coords(JXG.COORDS_BY_SCREEN,[sx,sy],board);sx=tmp.usrCoords[1];sy=tmp.usrCoords[2]}if(element.getElementsByTagName("slider")[0].getAttribute("horizontal")=="true"){if(element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")&&element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")=="true"){length/=(board.unitX)}ex=sx+length;ey=sy}else{if(element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")&&element.getElementsByTagName("slider")[0].getAttribute("absoluteScreenLocation")=="true"){length/=(board.unitY)}ex=sx;ey=sy+length}(element.getElementsByTagName("animation")[0])?attr.snapWidth=parseFloat(element.getElementsByTagName("animation")[0].getAttribute("step")):false;try{JXG.debug("* <b>Numeric:</b> First: "+attr.name+"<br>\n");attr.withTicks=false;p=board.create("slider",[[sx,sy],[ex,ey],[parseFloat(element.getElementsByTagName("slider")[0].getAttribute("min")),parseFloat(element.getElementsByTagName("value")[0].getAttribute("val")),parseFloat(element.getElementsByTagName("slider")[0].getAttribute("max"))]],attr);p.setProperty({withLabel:false});return p}catch(e){JXG.debug("* <b>Err:</b> Numeric "+attr.name+"<br>\n");return false}}}break;case"midpoint":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}p=board.create("midpoint",input,attr);JXG.debug("* <b>Midpoint ("+p.id+"):</b> "+attr.name+"("+gxtEl.x+", "+gxtEl.y+")<br>\n");return p}catch(e){JXG.debug("* <b>Err:</b> Midpoint "+attr.name+"<br>\n");return false}break;case"center":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{if(!JXG.exists(attr.styleGGB)){attr.face="circle";attr.fillColor=attr.strokeColor;attr.fillOpacity=1;attr.highlightFillColor=attr.strokeColor;attr.highlightFillOpacity=1;attr.strokeColor="black";attr.strokeWidth="1px"}p=board.create("point",[function(){return JXG.getRef(board,input[0].id).center.X()},function(){return JXG.getRef(board,input[0].id).center.Y()}],attr);JXG.debug("* <b>Center ("+p.id+"):</b> "+attr.name+"("+gxtEl.x+", "+gxtEl.y+")<br>\n");return p}catch(e){JXG.debug("* <b>Err:</b> Center "+attr.name+"<br>\n");return false}break;case"function":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);if(JXG.GeogebraReader.getElement(attr.name,true)){func=JXG.GeogebraReader.getElement(attr.name,true).getAttribute("exp");func=JXG.GeogebraReader.functionParse("c",func)}else{func=input[0];func=JXG.GeogebraReader.functionParse("s",func)}JXG.debug(func);length=func.length;func[func.length-1]="return "+JXG.GeogebraReader.ggbParse(func[func.length-1])+";";JXG.debug(func);range=[(input&&input[1])?input[1]:null,(input&&input[2])?input[2]:null];try{if(length==1){p=board.create("functiongraph",[new Function(func[0]),range[0],range[1]],attr)}else{if(length==2){p=board.create("functiongraph",[new Function(func[0],func[1]),range[0],range[1]],attr)}else{if(length==3){p=board.create("functiongraph",[new Function(func[0],func[1],func[2]),range[0],range[1]],attr)}else{if(length==4){p=board.create("functiongraph",[new Function(func[0],func[1],func[2],func[3]),range[0],range[1]],attr)}else{if(length==5){p=board.create("functiongraph",[new Function(func[0],func[1],func[2],func[3],func[4]),range[0],range[1]],attr)}}}}}return p}catch(e){JXG.debug("* <b>Err:</b> Functiongraph "+attr.name+"<br>\n");return false}break;case"polar":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Polar:</b> First: "+input[0].name+", Sec.: "+input[1].name+"<br>\n");p=board.create("polar",input,attr);return p}catch(e){JXG.debug("* <b>Err:</b> Polar "+attr.name+"<br>\n");return false}break;case"slope":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Slope ("+attr.name+"):</b> First: "+input[0].name+"<br>\n");var slopeWidth=parseInt(attr.slopeWidth)||1;var p1=input[0].glider||input[0].point1;var p2=board.create("point",[function(){return(slopeWidth+p1.X())},function(){return p1.Y()}],{visible:false});var l1=board.create("segment",[p1,p2],{visible:false});var l2=board.create("normal",[l1,l1.point2],{visible:false});var i=board.create("intersection",[input[0],l2,0],{visible:false});var m=board.create("midpoint",[l1.point2,i],{visible:false});var t=board.create("text",[function(){return m.X()},function(){return m.Y()},function(){return"&nbsp;&nbsp;"+(slopeWidth>1?slopeWidth.toString():"")+" "+this.name+" = "+JXG.trimNumber((slopeWidth*input[0].getSlope()).toFixed(JXG.GeogebraReader.decimals))}],attr);attr.name="";var t2=board.create("text",[function(){return(p1.X()+p2.X())/2},function(){return p1.Y()},function(){return"<br/>"+slopeWidth}],attr);t.Value=(function(){return function(){return input[0].getSlope()}})();var poly=board.create("polygon",[p1,p2,i],attr);poly.borders[2].setProperty({visible:false});poly.borders[0].setProperty({strokeColor:attr.fillColor,strokeWidth:attr.strokeWidth,highlightStrokeColor:attr.fillColor,dash:attr.dash});poly.borders[1].setProperty({strokeColor:attr.fillColor,strokeWidth:attr.strokeWidth,highlightStrokeColor:attr.fillColor,dash:attr.dash});return t}catch(e){JXG.debug("* <b>Err:</b> Slope "+attr.name+"<br>\n");return false}break;case"text":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);var rx,res="";try{if(element.getElementsByTagName("isLaTeX")[0]&&element.getElementsByTagName("isLaTeX")[0].getAttribute("val")=="true"){JXG.GeogebraReader.board.options.text.useASCIIMathML=true;t=JXG.GeogebraReader.getElement(attr.name,true).getAttribute("exp");while(rx=t.match(/(.*?)" \+ (.+) \+ "(.*)/)){var re2=JXG.GeogebraReader.ggbParse(RegExp.$2);if(typeof re2=="string"){res=res+RegExp.$1+re2}else{res=res+RegExp.$1+'" + JXG.trimNumber(('+re2+').toFixed(JXG.GeogebraReader.decimals)) + "'}t=RegExp.$3}if(rx=t.match(/(.*?)" \+ (.+)/)){res=res+RegExp.$1+'" + JXG.trimNumber(('+JXG.GeogebraReader.ggbParse(RegExp.$2)+").toFixed(JXG.GeogebraReader.decimals))"}else{res=res+t}JXG.debug("Text: "+res);p=board.create("text",[gxtEl.x,gxtEl.y,new Function("return "+res+";")],attr)}else{JXG.debug(JXG.GeogebraReader.getElement(attr.name,true).getAttribute("exp"));t=JXG.GeogebraReader.ggbParse(JXG.GeogebraReader.functionParse(false,JXG.GeogebraReader.getElement(attr.name,true).getAttribute("exp")));JXG.debug(t[1]);p=board.create("text",[gxtEl.x,gxtEl.y,new Function("return "+t[0]+' + " " + JXG.trimNumber(parseFloat('+t[1]+").toFixed(JXG.GeogebraReader.decimals));")],attr)}JXG.debug("* <b>Text:</b> "+t+"<br>\n");return p}catch(e){JXG.debug("* <b>Err:</b> Text: "+t+"<br>\n");return false}break;case"root":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);for(var i=0;i<output.length;i++){output[i]=JXG.GeogebraReader.checkElement(output[i].getAttribute("label"))}var inp;if(JXG.isArray(input)){inp=input[0]}else{inp=input}for(i=0;i<output.length;i++){output[i].addConstraint([(function(x){return function(){return board.root(inp.Y,x,inp)}})(output[i].X()),function(){return 0}])}return output;break;case"integral":attr=JXG.GeogebraReader.boardProperties(gxtEl,element,attr);attr=JXG.GeogebraReader.colorProperties(element,attr);gxtEl=JXG.GeogebraReader.coordinates(gxtEl,element);attr=JXG.GeogebraReader.visualProperties(element,attr);try{JXG.debug("* <b>Integral:</b> First: "+input[0].name+", Sec.: "+input[1].name+", Thir.: "+input[2].name+"<br>\n");JXG.debug([input[1](),input[2]()]);var p=board.create("integral",[JXG.getRef(board,input[0]),[input[1],input[2]]],attr);return p}catch(e){JXG.debug("* <b>Err:</b> Integral "+attr.name+e+"<br>\n");return false}break;default:return false;break}};this.readGeogebra=function(tree,board){var el,Data,i,els=[],expr;board.ggbElements=[];board.ggb={};JXG.GeogebraReader.tree=tree;JXG.GeogebraReader.board=board;JXG.GeogebraReader.format=parseFloat(JXG.GeogebraReader.tree.getElementsByTagName("geogebra")[0].getAttribute("format"));JXG.GeogebraReader.decimals=parseInt(JXG.GeogebraReader.tree.getElementsByTagName("geogebra")[0].getElementsByTagName("kernel")[0].getElementsByTagName("decimals")[0].getAttribute("val"));JXG.GeogebraReader.writeBoard(board);board=JXG.GeogebraReader.setDefaultOptions(board);var constructions=JXG.GeogebraReader.tree.getElementsByTagName("construction");for(var t=0;t<constructions.length;t++){var cmds=constructions[t].getElementsByTagName("command");for(var s=0;s<cmds.length;s++){Data=cmds[s];var input=[];for(i=0;i<Data.getElementsByTagName("input")[0].attributes.length;i++){el=Data.getElementsByTagName("input")[0].attributes[i].value;if(el.match(/\u00B0/)||!el.match(/\D/)||el.match(/Circle/)||Data.getAttribute("name")=="Function"||el==parseFloat(el)){input[i]=el}else{if(el=="xAxis"||el=="yAxis"){input[i]=board.ggbElements[el]}else{input[i]=JXG.GeogebraReader.checkElement(el)}}}var output=[],elname=Data.getElementsByTagName("output")[0].attributes[0].value;for(i=0;i<Data.getElementsByTagName("output")[0].attributes.length;i++){el=Data.getElementsByTagName("output")[0].attributes[i].value;output[i]=JXG.GeogebraReader.getElement(el)}if(typeof board.ggbElements[elname]=="undefined"||board.ggbElements[elname]==""){board.ggbElements[elname]=JXG.GeogebraReader.writeElement(board,output,input,Data.getAttribute("name").toLowerCase());if(board.ggbElements[elname].borders){for(var i=0;i<board.ggbElements[elname].borders.length;i++){board.ggbElements[board.ggbElements[elname].borders[i].name]=board.ggbElements[elname].borders[i]}}}}JXG.debug("Restesammler: ");var elements=constructions[t].getElementsByTagName("element");for(var s=0;s<elements.length;s++){var Data=elements[s];var el=Data.getAttribute("label");if(typeof board.ggbElements[el]=="undefined"||board.ggbElements[el]==""){board.ggbElements[el]=JXG.GeogebraReader.writeElement(board,Data);if(expr=JXG.GeogebraReader.getElement(el,true)){var type=Data.getAttribute("type");switch(type){case"text":case"function":break;default:JXG.GeogebraReader.ggbParse(expr.getAttribute("exp"),el);break}}}}}board.unsuspendUpdate();board.fullUpdate()};this.utf8replace=function(exp){exp=(exp.match(/\u03C0/))?exp.replace(/\u03C0/g,"PI"):exp;exp=(exp.match(/\u00B2/))?exp.replace(/\u00B2/g,"^2"):exp;exp=(exp.match(/\u00B3/))?exp.replace(/\u00B3/g,"^3"):exp;exp=(exp.match(/\u225F/))?exp.replace(/\u225F/g,"=="):exp;exp=(exp.match(/\u2260/))?exp.replace(/\u2260/g,"!="):exp;exp=(exp.match(/\u2264/))?exp.replace(/\u2264/g,"<="):exp;exp=(exp.match(/\u2265/))?exp.replace(/\u2265/g,">="):exp;exp=(exp.match(/\u2227/))?exp.replace(/\u2227/g,"&&"):exp;exp=(exp.match(/\u2228/))?exp.replace(/\u2228/g,"//"):exp;return exp};this.prepareString=function(fileStr,isString){var i,bA,len,fstr;if(isString){fstr=JXG.Util.Base64.decode(fileStr);if(fstr.slice(0,2)!=="PK"){fstr=JXG.Util.Base64.decode(fileStr,true)}fileStr=fstr}if(fileStr.indexOf("<")!=0){bA=[];len=fileStr.length;for(i=0;i<len;i++){bA[i]=JXG.Util.asciiCharCodeAt(fileStr,i)}fileStr=(new JXG.Util.Unzip(bA)).unzipFile("geogebra.xml")}fileStr=JXG.Util.utf8Decode(fileStr);fileStr=JXG.GeogebraReader.utf8replace(fileStr);return fileStr};this.isGGBVector=function(v){return JXG.isArray(v)&&v.length==3&&v[0]==1}};
\ No newline at end of file
diff --git a/ajax/libs/jsxgraph/0.95/GeonextReader.min.js b/ajax/libs/jsxgraph/0.95/GeonextReader.min.js
new file mode 100644
index 000000000..4c07ad414
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.95/GeonextReader.min.js
@@ -0,0 +1,27 @@
+/* Version 0.95 */
+/* Version 0.95 */
+/*
+    Copyright 2008-2012
+        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 <http://www.gnu.org/licenses/>.
+*/
+    JXG.debug=function(){};JXG.GeonextReader={changeOriginIds:function(a,b){if((b=="gOOe0")||(b=="gXOe0")||(b=="gYOe0")||(b=="gXLe0")||(b=="gYLe0")){return a.id+b}else{return b}},gEBTN:function(e,b,a,d){var c;if(!JXG.exists(e||!e.getElementsByTagName)){return""}if(!JXG.exists(d)){d=true}a=a||0;c=e.getElementsByTagName(b);if(c.length>0){c=c[a];if(d&&c.firstChild){c=c.firstChild.data}}return c},colorProperties:function(d,c){var b=this.gEBTN(c,"color",0,false),a;a=JXG.rgba2rgbo(this.gEBTN(b,"stroke"));d.strokeColor=a[0];d.strokeOpacity=a[1];a=JXG.rgba2rgbo(this.gEBTN(b,"lighting"));d.highlightStrokeColor=a[0];d.highlightStrokeOpacity=a[1];a=JXG.rgba2rgbo(this.gEBTN(b,"fill"));d.fillColor=a[0];d.fillOpacity=a[1];d.highlightFillColor=d.fillColor;d.highlightFillOpacity=d.fillOpacity;d.labelColor=JXG.rgba2rgbo(this.gEBTN(b,"label"))[0];d.colorDraft=JXG.rgba2rgbo(this.gEBTN(b,"draft"))[0];if(JXG.rgba2rgbo(this.gEBTN(b,"label"))[1]==0){d.withLabel=false}else{d.withLabel=true}d.colorStroke=d.strokeColor;d.colorFill=d.fillColor;d.colorLabel=d.labelColor;return d},firstLevelProperties:function(e,c){if(!JXG.exists(c)||!JXG.exists(c.childNodes)){return e}var a=c.childNodes,d,b;for(d=0;d<a.length;d++){if(JXG.exists(a[d].firstChild)&&a[d].nodeName!=="data"&&a[d].nodeName!=="straight"){b=a[d].nodeName;if(b=="width"){b="strokewidth"}e[b]=a[d].firstChild.data}}return e},defProperties:function(b,a){if(a.nodeType==3||a.nodeType==8){return null}b.ident=a.nodeName;if(b.ident=="text"||b.ident=="intersection"||b.ident=="composition"){b.name=""}else{b.name=this.gEBTN(a,"name")}b.id=this.gEBTN(a,"id");return b},visualProperties:function(b,a){b.visible=JXG.str2Bool(this.gEBTN(a,"visible"));b.trace=JXG.str2Bool(this.gEBTN(a,"trace"));return b},transformProperties:function(d,a){var b=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"],c=[2,3,4,1,2,3,4,2,3,4,2,3,4];d.strokeWidth=d.strokewidth;d.face=b[parseInt(d.style,10)]||"cross";d.size=c[parseInt(d.style,10)]||3;d.straightFirst=JXG.str2Bool(d.straightFirst);d.straightLast=JXG.str2Bool(d.straightLast);d.visible=JXG.str2Bool(d.visible);d.draft=JXG.str2Bool(d.draft);d.trace=JXG.str2Bool(d.trace);if(a==="point"){d.fillColor=d.strokeColor;d.highlightFillColor=d.highlightStrokeColor;d.fillOpacity=d.strokeOpacity;d.highlightFillOpacity=d.highlightStrokeOpacity}if(typeof(d.label==="string")){delete (d.label)}delete d.color;return d},readNodes:function(g,d,b,e){var a=this.gEBTN(d,b,0,false).childNodes,c,f;for(f=0;f<a.length;f++){if(a[f].firstChild!=null){if(e!=null){c=e+JXG.capitalize(a[f].nodeName)}else{c=a[f].nodeName}g[c]=a[f].firstChild.data}}return g},subtreeToString:function(a){try{return(new XMLSerializer()).serializeToString(a)}catch(b){return a.xml}},readImage:function(c){var b="",a=c;if(a!=null){b=a.data;while(a.nextSibling!=null){a=a.nextSibling;b+=a.data}}return b},parseImage:function(i,g,a,l,k,m,f,d){var n,c,j,b,e;if(g==null){return null}if(g.getElementsByTagName("src")[0]!=null){n="src"}else{if(g.getElementsByTagName("image")[0]!=null&&this.gEBTN(g,"image")!="null"){n="image"}else{return null}}b=this.readImage(this.gEBTN(g,n,0,false).firstChild);if(b!=""){b="data:image/png;base64,"+b;if(n=="src"){l=this.gEBTN(g,"x");k=this.gEBTN(g,"y");m=this.gEBTN(g,"width");f=this.gEBTN(g,"height");j=i.create("image",[b,[l,k],[m,f]],{anchor:d,layer:a});return j}else{e=new Image();e.src=b;c=d.id+"_image";e.onload=function(){var p=this.width,q=this.height,s,u,r,t,o,h;if(d.elementClass==JXG.OBJECT_CLASS_LINE){s=function(){return d.point1.X()};r=function(){return d.point1.Dist(d.point2)};t=function(){return r()*q/p};u=function(){return d.point1.Y()-t()*0.5};o=i.create("image",[b,[s,u],[r,t]],{layer:a,id:c,anchor:d});h=i.create("transform",[function(){return Math.atan2(d.point2.Y()-d.point1.Y(),d.point2.X()-d.point1.X())},d.point1],{type:"rotate"});h.bindTo(o);d.image=o}else{if(d.elementClass==JXG.OBJECT_CLASS_POINT){r=function(){return p/i.unitX};t=function(){return q/i.unitY};s=function(){return d.X()-r()*0.5};u=function(){return d.Y()-t()*0.5};o=i.create("image",[b,[s,u],[r,t]],{layer:a,id:c,anchor:d});i.renderer.hide(d.label.content);d.image=o}else{if(d.elementClass==JXG.OBJECT_CLASS_CIRCLE){r=function(){return 2*d.Radius()};t=function(){return r()*q/p};s=function(){return d.center.X()-r()*0.5};u=function(){return d.center.Y()-t()*0.5};o=i.create("image",[b,[s,u],[r,t]],{layer:a,id:c,anchor:d});d.image=o}else{o=i.create("image",[b,[l,k],[m,f]],{layer:a,id:c,anchor:d});d.image=o}}}}}return j}},readConditions:function(d){var b,c,a,e="";if(JXG.exists(d)){for(b=0;b<d.getElementsByTagName("data").length;b++){a=d.getElementsByTagName("data")[b];c=this.subtreeToString(a);e+=c}}return e},printDebugMessage:function(a,d,c,b){JXG.debug("* "+b+":  "+c+" "+d.name+" "+d.id+"<br>\n")},readGeonext:function(m,g){var j,n,l,i,d,c,b,a,h,e,k="true",f=this;g.options.layer.sector=g.options.layer.angle;g.options.layer.circle=g.options.layer.angle;g.options.line.label.position="top";c=this.gEBTN(m,"board",0,false);h=this.readConditions(c.getElementsByTagName("conditions")[0]);j=this.gEBTN(c,"coordinates",0,false);e=this.gEBTN(j,"origin",0,false);g.origin={usrCoords:[1,0,0],scrCoords:[1,parseFloat(this.gEBTN(e,"x")),parseFloat(this.gEBTN(e,"y"))]};e=this.gEBTN(j,"zoom",0,false);g.zoomX=parseFloat(this.gEBTN(e,"x"));g.zoomY=parseFloat(this.gEBTN(e,"y"));e=this.gEBTN(j,"unit",0,false);g.unitX=parseFloat(this.gEBTN(e,"x"));g.unitY=parseFloat(this.gEBTN(e,"y"));if(g.options.takeSizeFromFile){g.resizeContainer(this.gEBTN(c,"width"),this.gEBTN(c,"height"))}if(!(parseFloat(g.options.text.fontSize)>0)){g.options.text.fontSize=12}g.geonextCompatibilityMode=true;delete (JXG.JSXGraph.boards[g.id]);g.id=this.gEBTN(c,"id");JXG.JSXGraph.boards[g.id]=g;g.initGeonextBoard();g.renderer.enhancedRendering=true;this.parseImage(g,this.gEBTN(c,"file",0,false),g.options.layer.image);g.options.point.snapToGrid=(this.gEBTN(this.gEBTN(c,"coordinates",0,false),"snap")==k);if(g.options.point.snapToGrid&&this.gEBTN(this.gEBTN(c,"grid",1,false),"pointsnap")==k){g.options.point.snapToGrid=false;g.options.point.snapToPoints=true;g.options.point.attractorDistance=0.5}j=this.gEBTN(c,"grid",1,false);e=this.gEBTN(j,"x");if(e){g.options.grid.gridX=1/parseFloat(e);g.options.point.snapSizeX=parseFloat(e)}e=this.gEBTN(j,"y");if(e){g.options.grid.gridY=1/parseFloat(e);g.options.point.snapSizeY=parseFloat(e)}g.options.grid.gridDash=JXG.str2Bool(this.gEBTN(j,"dash"));e=JXG.rgba2rgbo(this.gEBTN(j,"color"));g.options.grid.gridColor=e[0];g.options.grid.gridOpacity=e[1];j=this.gEBTN(c,"coordinates",0,false);if(this.gEBTN(j,"grid")==k){g.create("grid",[])}if(this.gEBTN(j,"coord")==k){g.options.axis.ticks.majorHeight=10;g.options.axis.ticks.minorHeight=4;g.create("axis",[[0,0],[1,0]]);g.create("axis",[[0,0],[0,1]])}e=this.gEBTN(this.gEBTN(c,"background",0,false),"color");if(e.length==8){e="#"+e}g.containerObj.style.backgroundColor=JXG.rgba2rgbo(e)[0];n=m.getElementsByTagName("elements")[0].childNodes;for(l=0;l<n.length;l++){(function(I){var z,r={},u,G,F,D,B,q,o,t,E,w;i=n[I];r=f.defProperties(r,i);if(!JXG.exists(r)){return}f.printDebugMessage("debug",r,i.nodeName.toLowerCase,"READ:");switch(i.nodeName.toLowerCase()){case"point":r.strokewidth=1;r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r.fixed=JXG.str2Bool(f.gEBTN(i,"fix"));r=f.transformProperties(r,"point");o=g.create("point",[parseFloat(r.x),parseFloat(r.y)],r);var H=function(){return o.visProp.visible};q=f.parseImage(g,i,g.options.layer.image,0,0,0,0,o);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"line":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r=f.readNodes(r,i,"straight","straight");r=f.transformProperties(r);r.first=f.changeOriginIds(g,r.first);r.last=f.changeOriginIds(g,r.last);u=g.create("line",[r.first,r.last],r);f.parseImage(g,i,g.options.layer.image,0,0,0,0,u);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"circle":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);w=f.gEBTN(i,"data",0,false);r.center=f.changeOriginIds(g,f.gEBTN(w,"midpoint"));if(w.getElementsByTagName("radius").length>0){r.radius=f.changeOriginIds(g,f.gEBTN(w,"radius"))}else{if(w.getElementsByTagName("radiusvalue").length>0){r.radius=f.gEBTN(w,"radiusvalue")}}r=f.transformProperties(r);D=g.create("circle",[r.center,r.radius],r);f.parseImage(g,i,g.options.layer.image,0,0,0,0,D);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"slider":r.strokewidth=1;r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r.fixed=JXG.str2Bool(f.gEBTN(i,"fix"));r=f.readNodes(r,i,"animate","animate");r=f.transformProperties(r,"point");try{r.parent=f.changeOriginIds(g,r.parent);o=g.create("glider",[parseFloat(r.x),parseFloat(r.y),r.parent],r);o.onPolygon=JXG.exists(r.onpolygon)&&JXG.str2Bool(r.onpolygon);f.parseImage(g,i,g.options.layer.point,0,0,0,0,o);f.printDebugMessage("debug",r,i.nodeName,"OK")}catch(C){JXG.debug("* <b>Err:</b>  Slider "+r.name+" "+r.id+": "+r.parent+"<br>\n")}break;case"cas":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r.fixed=JXG.str2Bool(i.getElementsByTagName("fix")[0].firstChild.data);r=f.readNodes(r,i,"data");r=f.transformProperties(r,"point");if(false){r.x=JXG.GeonextParser.gxt2jc(r.x,g);r.y=JXG.GeonextParser.gxt2jc(r.y,g)}else{r.x=JXG.GeonextParser.geonext2JS(r.x,g);r.x=new Function("return "+r.x+";");r.y=JXG.GeonextParser.geonext2JS(r.y,g);r.y=new Function("return "+r.y+";")}o=g.create("point",[r.x,r.y],r);f.parseImage(g,i,g.options.layer.point,0,0,0,0,o);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"intersection":r.strokewidth=1;r=f.readNodes(r,i,"data");j=i.getElementsByTagName("first")[1];r.outFirst={};r.outFirst=f.colorProperties(r.outFirst,j);r.outFirst=f.visualProperties(r.outFirst,j);r.outFirst=f.firstLevelProperties(r.outFirst,j);r.outFirst.fixed=JXG.str2Bool(j.getElementsByTagName("fix")[0].firstChild.data);r.outFirst=f.transformProperties(r.outFirst,"point");r.first=f.changeOriginIds(g,r.first);r.last=f.changeOriginIds(g,r.last);if((JXG.getReference(g,r.first).elementClass==JXG.OBJECT_CLASS_LINE)&&(JXG.getReference(g,r.last).elementClass==JXG.OBJECT_CLASS_LINE)){t=g.create("intersection",[g.objects[r.first],g.objects[r.last],0],r.outFirst);if(r.outFirst.visible=="false"){t.hideElement()}}else{j=i.getElementsByTagName("last")[1];if(JXG.exists(j)){r.outLast={};r.outLast=f.colorProperties(r.outLast,j);r.outLast=f.visualProperties(r.outLast,j);r.outLast=f.firstLevelProperties(r.outLast,j);r.outLast.fixed=JXG.str2Bool(j.getElementsByTagName("fix")[0].firstChild.data);r.outLast=f.transformProperties(r.outLast,"point");t=g.create("intersection",[g.objects[r.first],g.objects[r.last],0],r.outFirst);t=g.create("intersection",[g.objects[r.first],g.objects[r.last],1],r.outLast)}}f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"composition":r=f.readNodes(r,i,"data");r=f.firstLevelProperties(r,i);r.defEl=[];B=0;j=i.getElementsByTagName("data")[0].getElementsByTagName("input");for(z=0;z<j.length;z++){r.defEl[z]=j[z].firstChild.data;B=z+1}j=i.getElementsByTagName("output")[0];r.out={};r.out=f.colorProperties(r.out,j);r.out=f.visualProperties(r.out,j);r.out=f.firstLevelProperties(r.out,j);r.out=f.transformProperties(r.out);r.defEl[0]=f.changeOriginIds(g,r.defEl[0]);r.defEl[1]=f.changeOriginIds(g,r.defEl[1]);r.defEl[2]=f.changeOriginIds(g,r.defEl[2]);switch(r.type){case"210070":r.out.fixed=f.gEBTN(j,"fix");j=i.getElementsByTagName("output")[1];r.outPoint={};r.outPoint=f.defProperties(r.outPoint,j);r.outPoint=f.colorProperties(r.outPoint,j);r.outPoint=f.visualProperties(r.outPoint,j);r.outPoint=f.firstLevelProperties(r.outPoint,j);r.outPoint=f.transformProperties(r.outPoint);r.out.point=r.outPoint;g.create("arrowparallel",[r.defEl[1],r.defEl[0]],r.out);break;case"210080":r.out.straightFirst=false;g.create("bisector",[r.defEl[0],r.defEl[1],r.defEl[2]],r.out);break;case"210090":j=i.getElementsByTagName("output")[1];r.outCircle={};r.outCircle=f.defProperties(r.outCircle,j);r.outCircle=f.colorProperties(r.outCircle,j);r.outCircle=f.visualProperties(r.outCircle,j);r.outCircle=f.firstLevelProperties(r.outCircle,j);r.outCircle=f.transformProperties(r.outCircle);r.outCircle.point=r.out;g.create("circumcircle",[r.defEl[0],r.defEl[1],r.defEl[2]],r.outCircle);break;case"210100":g.create("circumcenter",[r.defEl[0],r.defEl[1],r.defEl[2]],r.out);break;case"210110":g.create("midpoint",r.defEl.slice(0,B),r.out);break;case"210120":g.create("reflection",[r.defEl[1],r.defEl[0]],r.out);break;case"210125":g.create("mirrorpoint",[r.defEl[0],r.defEl[1]],r.out);break;case"210130":g.create("perpendicularsegment",[r.defEl[0],r.defEl[1]],r.out);break;case"210140":o=g.create("parallelpoint",[r.defEl[1],r.defEl[0]],{withLabel:false,visible:false,name:"",fixed:true});q=g.create("line",[r.defEl[0],o],r.out);q.parallelpoint=o;break;case"210150":g.create("parallelpoint",r.defEl.slice(0,B),r.out);break;case"210160":r.out.fixed=f.gEBTN(j,"fix");j=i.getElementsByTagName("output")[1];r.outLine={};r.outLine=f.defProperties(r.outLine,j);r.outLine=f.colorProperties(r.outLine,j);r.outLine=f.visualProperties(r.outLine,j);r.outLine=f.firstLevelProperties(r.outLine,j);r.outLine=f.readNodes(r.outLine,j,"straight","straight");r.outLine=f.transformProperties(r.outLine);r.outLine.point=r.out;g.create("perpendicularsegment",[r.defEl[1],r.defEl[0]],r.outLine);break;case"210170":g.create("perpendicularpoint",[r.defEl[1],r.defEl[0]],r.out);break;case"210180":throw new Error("JSXGraph: Element ROTATION not yet implemented.");break;case"210190":r.out=f.defProperties(r.out,j);r.out.firstArrow=JXG.str2Bool(f.gEBTN(j,"firstarrow"));r.out.lastArrow=JXG.str2Bool(f.gEBTN(j,"lastarrow"));for(z=0;z<4;z++){j=i.getElementsByTagName("output")[z];r.out=f.defProperties(r.out,j);r.out=f.colorProperties(r.out,j);r.out=f.visualProperties(r.out,j);r.out=f.firstLevelProperties(r.out,j);r.out=f.transformProperties(r.out);if(z==0){q=g.create("sector",r.defEl,r.out)}else{if(z==1){o=g.create("point",[function(){var s=JXG.getRef(g,r.defEl[1]),p=JXG.getRef(g,r.defEl[2]);return s.X()+(p.X()-s.X())*q.Radius/s.Dist(p)},function(){var s=JXG.getRef(g,r.defEl[1]),p=JXG.getRef(g,r.defEl[2]);return s.Y()+(p.Y()-s.Y())*q.Radius/s.Dist(p)}],r.out)}else{if(z==2){q=g.create("segment",[r.defEl[0],r.defEl[1]],r.out)}else{if(z==3){q=g.create("segment",[r.defEl[1],o],r.out)}}}}}break;default:throw new Error("JSXGraph: GEONExT-Element "+r.type+" not implemented.");break}f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"polygon":r=f.colorProperties(r,i);r=f.firstLevelProperties(r,i);var A=[];for(z=0;z<i.getElementsByTagName("data")[0].getElementsByTagName("vertex").length-1;z++){A[z]=i.getElementsByTagName("data")[0].getElementsByTagName("vertex")[z].firstChild.data;A[z]=f.changeOriginIds(g,A[z])}r.border=[];r.borders={ids:[]};for(z=0;z<i.getElementsByTagName("border").length;z++){r.border[z]={};j=i.getElementsByTagName("border")[z];r.border[z].id=j.getElementsByTagName("id")[0].firstChild.data;r.borders.ids.push(r.border[z].id);r.border[z].name=j.getElementsByTagName("name")[0].firstChild.data;r.border[z].straightFirst=JXG.str2Bool(j.getElementsByTagName("straight")[0].getElementsByTagName("first")[0].firstChild.data);r.border[z].straightLast=JXG.str2Bool(j.getElementsByTagName("straight")[0].getElementsByTagName("last")[0].firstChild.data);try{r.border[z].strokeWidth=j.getElementsByTagName("strokewidth")[0].firstChild.data}catch(C){r.border[z].strokeWidth=j.getElementsByTagName("width")[0].firstChild.data}try{r.border[z].dash=JXG.str2Bool(j.getElementsByTagName("dash")[0].firstChild.data)}catch(C){}r.border[z].visible=JXG.str2Bool(j.getElementsByTagName("visible")[0].firstChild.data);r.border[z].draft=JXG.str2Bool(j.getElementsByTagName("draft")[0].firstChild.data);r.border[z].trace=JXG.str2Bool(j.getElementsByTagName("trace")[0].firstChild.data);j=i.getElementsByTagName("border")[z].getElementsByTagName("color")[0];E=JXG.rgba2rgbo(j.getElementsByTagName("stroke")[0].firstChild.data);r.border[z].strokeColor=E[0];r.border[z].strokeOpacity=E[1];E=JXG.rgba2rgbo(j.getElementsByTagName("lighting")[0].firstChild.data);r.border[z].highlightStrokeColor=E[0];r.border[z].highlightStrokeOpacity=E[1];E=JXG.rgba2rgbo(j.getElementsByTagName("fill")[0].firstChild.data);r.border[z].fillColor=E[0];r.border[z].fillOpacity=E[1];r.border[z].highlightFillColor=r.border[z].fillColor;r.border[z].highlightFillOpacity=r.border[z].fillOpacity;r.border[z].labelColor=j.getElementsByTagName("label")[0].firstChild.data;r.border[z].colorDraft=j.getElementsByTagName("draft")[0].firstChild.data}r=f.transformProperties(r);o=g.create("polygon",A,r);for(z=0;z<o.borders.length;z++){o.borders[z].setProperty(r.border[z])}f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"graph":r=f.colorProperties(r,i);r=f.firstLevelProperties(r,i);r.funct=i.getElementsByTagName("data")[0].getElementsByTagName("function")[0].firstChild.data;if(false){r.funct=JXG.GeonextParser.gxt2jc(r.funct,g)}else{r.funct=JXG.GeonextParser.geonext2JS(r.funct,g);r.funct=new Function("x","return "+r.funct+";")}D=g.create("curve",["x",r.funct],{id:r.id,name:r.name,strokeColor:r.strokeColor,strokeWidth:r.strokeWidth,fillColor:"none",highlightFillColor:"none",highlightStrokeColor:r.highlightStrokeColor,visible:JXG.str2Bool(r.visible)});f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"arrow":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r=f.readNodes(r,i,"straight","straight");r=f.transformProperties(r);r.first=f.changeOriginIds(g,r.first);r.last=f.changeOriginIds(g,r.last);u=g.create("arrow",[r.first,r.last],r);f.printDebugMessage("debug",u,i.nodeName,"OK");break;case"arc":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r.firstArrow=JXG.str2Bool(i.getElementsByTagName("lastarrow")[0].firstChild.data);r.lastArrow=JXG.str2Bool(i.getElementsByTagName("firstarrow")[0].firstChild.data);r=f.transformProperties(r);r.center=f.changeOriginIds(g,r.midpoint);r.angle=f.changeOriginIds(g,r.angle);r.radius=f.changeOriginIds(g,r.radius);D=g.create("arc",[r.center,r.radius,r.angle],r);f.printDebugMessage("debug",D,i.nodeName,"OK");break;case"angle":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");r=f.transformProperties(r);w=r.name;try{r.name=i.getElementsByTagName("text")[0].firstChild.data}catch(C){r.name=""}D=g.create("angle",[r.first,r.middle,r.last],r);D.setProperty({name:w});f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"text":if(r.id.match(/oldVersion/)){break}r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.readNodes(r,i,"data");try{r.mpStr=f.subtreeToString(i.getElementsByTagName("data")[0].getElementsByTagName("mp")[0]);r.mpStr=r.mpStr.replace(/<\/?mp>/g,"")}catch(C){r.mpStr=f.subtreeToString(i.getElementsByTagName("data")[0].getElementsByTagName("content")[0]);r.mpStr=r.mpStr.replace(/<\/?content>/g,"")}r.fixed=false;try{if(i.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild){r.parent=i.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild.data;r.fixed=true}}catch(C){}try{r.condition=i.getElementsByTagName("condition")[0].firstChild.data}catch(C){r.condition=""}r.content=i.getElementsByTagName("content")[0].firstChild.data;try{r.fixed=i.getElementsByTagName("fix")[0].firstChild.data}catch(C){r.fixed=false}try{r.autodigits=i.getElementsByTagName("digits")[0].firstChild.data}catch(C){r.autodigits=2}r.parent=f.changeOriginIds(g,r.parent);D=g.create("text",[r.x,r.y,r.mpStr],{anchor:r.parent,id:r.id,name:r.name,digits:r.autodigits,isLabel:false,strokeColor:r.colorLabel,fixed:r.fixed,visible:JXG.str2Bool(r.visible)});break;case"parametercurve":r=f.colorProperties(r,i);r=f.visualProperties(r,i);r=f.firstLevelProperties(r,i);r=f.transformProperties(r);r.functionx=i.getElementsByTagName("functionx")[0].firstChild.data;r.functiony=i.getElementsByTagName("functiony")[0].firstChild.data;r.min=i.getElementsByTagName("min")[0].firstChild.data;r.max=i.getElementsByTagName("max")[0].firstChild.data;r.fillColor="none";r.highlightFillColor="none";g.create("curve",[new Function("t","return "+JXG.GeonextParser.geonext2JS(r.functionx,g)+";"),new Function("t","return "+JXG.GeonextParser.geonext2JS(r.functiony,g)+";"),new Function("return "+JXG.GeonextParser.geonext2JS(r.min,g)+";"),new Function("return "+JXG.GeonextParser.geonext2JS(r.max,g)+";")],r);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"tracecurve":r.tracepoint=i.getElementsByTagName("tracepoint")[0].firstChild.data;r.traceslider=i.getElementsByTagName("traceslider")[0].firstChild.data;g.create("tracecurve",[r.traceslider,r.tracepoint],r);f.printDebugMessage("debug",r,i.nodeName,"OK");break;case"group":r=f.colorProperties(r,i);r=f.firstLevelProperties(r,i);r.members=[];for(z=0;z<i.getElementsByTagName("data")[0].getElementsByTagName("member").length;z++){r.members[z]=i.getElementsByTagName("data")[0].getElementsByTagName("member")[z].firstChild.data;r.members[z]=f.changeOriginIds(g,r.members[z])}D=new JXG.Group(g,r.id,r.name,r.members);f.printDebugMessage("debug",r,i.nodeName,"OK");break;default:JXG.debug("* <b>Err:</b> "+i.nodeName+" not yet implemented <br>\n")}delete (r)})(l)}g.addConditions(h)},decodeString:function(b){var a;if(b.indexOf("<GEONEXT>")<0){a=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(b))).unzip();if(a==""){return b}else{return a}}else{return b}},prepareString:function(a){try{if(a.indexOf("GEONEXT")<0){a=(this.decodeString(a))[0][0]}a=this.fixXML(a)}catch(b){a=""}return a},fixXML:function(e){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","tracepoint","traceslider","type","unit","value","VERSION","vertex","viewport","visible","width","wot","x","xooy","xval","y","yval","zoom"],c=a.join("|"),b="&lt;(/?("+c+"))&gt;",d=new RegExp(b,"g");e=JXG.escapeHTML(e);e=e.replace(d,"<$1>");e=e.replace(/(<content>.*)<arc>(.*<\/content>)/g,"$1&lt;arc&gt;$2");e=e.replace(/(<mp>.*)<arc>(.*<\/mpx>)/g,"$1&lt;arc&gt;$2");e=e.replace(/(<mpx>.*)<arc>(.*<\/mpx>)/g,"$1&lt;arc&gt;$2");return e}};
\ No newline at end of file
diff --git a/ajax/libs/jsxgraph/0.95/IntergeoReader.min.js b/ajax/libs/jsxgraph/0.95/IntergeoReader.min.js
new file mode 100644
index 000000000..2f6724131
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.95/IntergeoReader.min.js
@@ -0,0 +1,27 @@
+/* Version 0.95 */
+/* Version 0.95 */
+/*
+    Copyright 2008-2012
+        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 <http://www.gnu.org/licenses/>.
+*/
+    JXG.IntergeoReader=new function(){this.board=null;this.objects={};this.readIntergeo=function(a,b){this.board=b;this.board.origin={};this.board.origin.usrCoords=[1,0,0];this.board.origin.scrCoords=[1,400,300];this.board.unitX=30;this.board.unitY=30;this.readElements(a.getElementsByTagName("elements"));this.readConstraints(a.getElementsByTagName("constraints"));this.cleanUp();this.board.fullUpdate();this.readDisplay(a.getElementsByTagName("display"));this.board.fullUpdate()};this.readElements=function(a){var b;for(var b=0;b<a[0].childNodes.length;b++){(function(c){var d;d=a[0].childNodes[c];if(d.nodeType>1){return}if(d.nodeName=="point"){JXG.IntergeoReader.storePoint(d)}else{if(d.nodeName=="line"||d.nodeName=="line_segment"||d.nodeName=="ray"||d.nodeName=="vector"){JXG.IntergeoReader.storeLine(d)}else{if(d.nodeName=="circle"){JXG.IntergeoReader.storeConic(d)}else{if(d.nodeName=="conic"){JXG.IntergeoReader.storeConic(d)}else{if(d.nodeName=="polygon"){}else{JXG.debug("Not implemented: "+d.nodeName+" "+d.getAttribute("id"))}}}}}})(b)}};this.addPointOld=function(d){var h=0,f=0,e=0,b,a=d.childNodes[h],k=[],g={strokeColor:"red",fillColor:"red",withLabel:true},m=[];while(a.nodeType>1){h++;a=d.childNodes[h]}g.name=d.getAttribute("id");if(a.nodeName=="homogeneous_coordinates"){for(f=0;f<a.childNodes.length;f++){if(a.childNodes[f].nodeType==1){if(a.childNodes[f].nodeName=="double"){k.push(a.childNodes[f].firstChild.data)}else{if(a.childNodes[f].nodeName=="complex"){for(e=0;e<a.childNodes[f].childNodes.length;e++){if(a.childNodes[f].childNodes[e].nodeName=="double"){k.push(a.childNodes[f].childNodes[e].firstChild.data)}}}else{JXG.debug("Not implemented: "+a.childNodes[f].nodeName);return}}}}for(f=0;f<k.length;f++){k[f]=parseFloat(k[f])}if(k.length==3){m=[k[2],k[0],k[1]]}else{if(k.length==6&&Math.abs(k[1])<1e-10&&Math.abs(k[3])<1e-10&&Math.abs(k[5])<1e-10){m=[k[4],k[0],k[2]]}else{JXG.debug("type not supported, yet");return}}}else{if(a.nodeName=="euclidean_coordinates"){for(f=0;f<a.childNodes.length;f++){if(a.childNodes[f].nodeType==1){k.push(a.childNodes[f].firstChild.data)}}for(f=0;f<k.length;f++){k[f]=parseFloat(k[f])}m=[k[0],k[1]]}else{if(a.nodeName=="polar_coordinates"){for(f=0;f<a.childNodes.length;f++){if(a.childNodes[f].nodeType==1){k.push(a.childNodes[f].firstChild.data)}}for(f=0;f<k.length;f++){k[f]=parseFloat(k[f])}m=[k[0]*Math.cos(k[1]),k[0]*Math.sin(k[1])]}else{JXG.debug("This coordinate type is not yet implemented: "+a.nodeName);return}}}b=this.board.create("point",m,g);this.objects[d.getAttribute("id")]=b};this.storePoint=function(f){var e=0,d=0,a=0,g=f.childNodes[e],h=[],b=[];while(g.nodeType>1){e++;g=f.childNodes[e]}if(g.nodeName=="homogeneous_coordinates"){for(d=0;d<g.childNodes.length;d++){if(g.childNodes[d].nodeType==1){if(g.childNodes[d].nodeName=="double"){h.push(g.childNodes[d].firstChild.data)}else{if(g.childNodes[d].nodeName=="complex"){for(a=0;a<g.childNodes[d].childNodes.length;a++){if(g.childNodes[d].childNodes[a].nodeName=="double"){h.push(g.childNodes[d].childNodes[a].firstChild.data)}}}else{JXG.debug("Not implemented: "+g.childNodes[d].nodeName);return}}}}for(d=0;d<h.length;d++){h[d]=parseFloat(h[d])}if(h.length==3){b=[h[2],h[0],h[1]]}else{if(h.length==6&&Math.abs(h[1])<1e-10&&Math.abs(h[3])<1e-10&&Math.abs(h[5])<1e-10){b=[h[4],h[0],h[2]]}else{JXG.debug("type not supported, yet");return}}}else{if(g.nodeName=="euclidean_coordinates"||g.nodeName=="euclidian_coordinates"){for(d=0;d<g.childNodes.length;d++){if(g.childNodes[d].nodeType==1){h.push(g.childNodes[d].firstChild.data)}}for(d=0;d<h.length;d++){h[d]=parseFloat(h[d])}b=[h[0],h[1]]}else{if(g.nodeName=="polar_coordinates"){for(d=0;d<g.childNodes.length;d++){if(g.childNodes[d].nodeType==1){h.push(g.childNodes[d].firstChild.data)}}for(d=0;d<h.length;d++){h[d]=parseFloat(h[d])}b=[h[0]*Math.cos(h[1]),h[0]*Math.sin(h[1])]}else{JXG.debug("This coordinate type is not yet implemented: "+g.nodeName);return}}}this.objects[f.getAttribute("id")]={id:f.getAttribute("id"),coords:null};this.objects[f.getAttribute("id")].coords=b;this.objects[f.getAttribute("id")].id=f.getAttribute("id");this.objects[f.getAttribute("id")].exists=false;this.objects[f.getAttribute("id")].i2geoType="point"};this.storeLine=function(d){var b,e,f,a;this.objects[d.getAttribute("id")]={id:d.getAttribute("id"),coords:null};b=0;e=d.childNodes[b];while(e.nodeType>1){b++;e=d.childNodes[b]}if(e.nodeName=="homogeneous_coordinates"){f=[];for(a=0;a<e.childNodes.length;a++){if(e.childNodes[a].nodeType==1){if(e.childNodes[a].nodeName=="double"){f.push(parseFloat(e.childNodes[a].firstChild.data))}else{}}}this.objects[d.getAttribute("id")].coords=f;this.objects[d.getAttribute("id")].id=d.getAttribute("id");this.objects[d.getAttribute("id")].exists=false;this.objects[d.getAttribute("id")].i2geoType="line"}};this.storeConic=function(d){var b,a,e,f;this.objects[d.getAttribute("id")]={id:d.getAttribute("id"),coords:null};b=0;e=d.childNodes[b];while(e.nodeType>1){b++;e=d.childNodes[b]}if(e.nodeName=="matrix"){f=[];for(a=0;a<e.childNodes.length;a++){if(e.childNodes[a].nodeType==1){if(e.childNodes[a].nodeName=="double"){f.push(parseFloat(e.childNodes[a].firstChild.data))}else{}}}this.objects[d.getAttribute("id")].coords=f;this.objects[d.getAttribute("id")].id=d.getAttribute("id");this.objects[d.getAttribute("id")].exists=false;this.objects[d.getAttribute("id")].i2geoType="conic"}};this.readConstraints=function(a){var b,c;this.board.options.point.strokeColor="blue";this.board.options.point.fillColor="blue";for(b=0;b<a[0].childNodes.length;b++){(function(d){var e;e=a[0].childNodes[d];if(e.nodeType>1){return}if(e.nodeName=="line_through_two_points"){JXG.IntergeoReader.addLineThroughTwoPoints(e,false)}else{if(e.nodeName=="ray_from_point_through_point"){JXG.IntergeoReader.addLineThroughTwoPoints(e,true)}else{if(e.nodeName=="line_through_point"){JXG.IntergeoReader.addLineThroughPoint(e)}else{if(e.nodeName=="line_parallel_to_line_through_point"){JXG.IntergeoReader.addLineParallelToLineThroughPoint(e,false)}else{if(e.nodeName=="ray_from_point_and_vector"){JXG.IntergeoReader.addLineParallelToLineThroughPoint(e,true)}else{if(e.nodeName=="line_perpendicular_to_line_through_point"){JXG.IntergeoReader.addLinePerpendicularToLineThroughPoint(e)}else{if(e.nodeName=="line_segment_by_points"){JXG.IntergeoReader.addLineSegmentByTwoPoints(e)}else{if(e.nodeName=="vector_from_point_to_point"){JXG.IntergeoReader.addVectorFromPointToPoint(e)}else{if(e.nodeName=="endpoints_of_line_segment"){JXG.IntergeoReader.addEndpointsOfLineSegment(e)}else{if(e.nodeName=="free_point"){}else{if(e.nodeName=="free_line"){JXG.IntergeoReader.addFreeLine(e)}else{if(e.nodeName=="point_on_line"){JXG.IntergeoReader.addPointOnLine(e)}else{if(e.nodeName=="point_on_line_segment"){JXG.IntergeoReader.addPointOnLine(e)}else{if(e.nodeName=="point_on_circle"){JXG.IntergeoReader.addPointOnCircle(e)}else{if(e.nodeName=="angular_bisector_of_three_points"){JXG.IntergeoReader.addAngularBisectorOfThreePoints(e,false)}else{if(e.nodeName=="angular_bisectors_of_two_lines"){JXG.IntergeoReader.addAngularBisectorsOfTwoLines(e,false)}else{if(e.nodeName=="line_angular_bisector_of_three_points"){JXG.IntergeoReader.addAngularBisectorOfThreePoints(e,true)}else{if(e.nodeName=="line_angular_bisectors_of_two_lines"){JXG.IntergeoReader.addAngularBisectorsOfTwoLines(e,true)}else{if(e.nodeName=="midpoint_of_two_points"){JXG.IntergeoReader.addMidpointOfTwoPoints(e)}else{if(e.nodeName=="midpoint"){JXG.IntergeoReader.addMidpointOfTwoPoints(e)}else{if(e.nodeName=="midpoint_of_line_segment"||e.nodeName=="midpoint_line_segment"){JXG.IntergeoReader.addMidpointOfLineSegment(e)}else{if(e.nodeName=="point_intersection_of_two_lines"){JXG.IntergeoReader.addPointIntersectionOfTwoLines(e)}else{if(e.nodeName=="locus_defined_by_point"){JXG.IntergeoReader.addLocusDefinedByPoint(e)}else{if(e.nodeName=="locus_defined_by_point_on_line"){JXG.IntergeoReader.addLocusDefinedByPointOnLine(e)}else{if(e.nodeName=="locus_defined_by_point_on_line_segment"){JXG.IntergeoReader.addLocusDefinedByPointOnLine(e)}else{if(e.nodeName=="locus_defined_by_line_through_point"){JXG.IntergeoReader.addLocusDefinedByLineThroughPoint(e)}else{if(e.nodeName=="locus_defined_by_point_on_circle"){JXG.IntergeoReader.addLocusDefinedByPointOnCircle(e)}else{if(e.nodeName=="circle_by_three_points"){JXG.IntergeoReader.addCircleByThreePoints(e)}else{if(e.nodeName=="circle_by_center_and_point"){JXG.IntergeoReader.addCircleByCenterAndPoint(e)}else{if(e.nodeName=="center_of_circle"){JXG.IntergeoReader.addCenterOfCircle(e)}else{if(e.nodeName=="intersection_points_of_two_circles"){JXG.IntergeoReader.addIntersectionPointsOfTwoCircles(e)}else{if(e.nodeName=="intersection_points_of_circle_and_line"){JXG.IntergeoReader.addIntersectionPointsOfCircleAndLine(e)}else{if(e.nodeName=="other_intersection_point_of_two_circles"){JXG.IntergeoReader.addOtherIntersectionPointOfTwoCircles(e)}else{if(e.nodeName=="other_intersection_point_of_circle_and_line"){JXG.IntergeoReader.addOtherIntersectionPointOfCircleAndLine(e)}else{if(e.nodeName=="circle_tangent_lines_by_point"){JXG.IntergeoReader.addCircleTangentLinesByPoint(e)}else{if(e.nodeName=="polygon_by_vertices"){JXG.IntergeoReader.addPolygonByVertices(e)}else{c=JXG.IntergeoReader.readParams(e);JXG.debug("readConstraints: not implemented: "+e.nodeName+": "+c[0])}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}})(b)}};this.setAttributes=function(a){a.setProperty({strokecolor:this.board.options.point.strokeColor,fillColor:this.board.options.point.fillColor})};this.readParams=function(b){var c=[],a;for(a=0;a<b.childNodes.length;a++){if(b.childNodes[a].nodeType==1){c.push(b.childNodes[a].firstChild.data)}}return c};this.addPoint=function(a){if(!a.exists){a.exists=true;a=this.board.create("point",a.coords,{name:a.id});a.setProperty({strokecolor:"red",fillColor:"red"})}return a};this.addLine=function(e){var a,d=this.objects[e].coords,b;for(a=0;a<d.length;a++){d[a]=parseFloat(d[a])}b=this.board.create("line",[d[2],d[0],d[1]],{name:e,strokeColor:"black",withLabel:true});this.objects[e]=b};this.addConic=function(a){var b;if(!a.exists){b=a.coords;a=this.board.create("conic",[b[0],b[4],b[8],b[1],b[5],b[2]],{name:a.id});a.exists=true}return a};this.cleanUp=function(){var a;for(a in this.objects){if(this.objects[a].exists==false){if(this.objects[a].i2geoType=="point"){this.addPoint(this.objects[a])}else{if(this.objects[a].i2geoType=="line"){this.addLine(this.objects[a])}else{if(this.objects[a].i2geoType=="conic"){this.addConic(this.objects[a])}else{JXG.debug("forgotten: "+this.objects[a].id+" of type "+this.objects[a].i2geoType)}}}}}};this.addLineThroughTwoPoints=function(d,e){var f=JXG.IntergeoReader.readParams(d),b,a,c;b=this.addPoint(this.objects[f[1]]);a=this.addPoint(this.objects[f[2]]);c=this.board.create("line",[b.id,a.id],{name:f[0],withLabel:true,straightFirst:!e,straightLast:true});this.objects[f[0]]=c;this.objects[f[0]].exists=true};this.addLineThroughPoint=function(d){var f=JXG.IntergeoReader.readParams(d),a,g=this.objects[f[0]].coords,e=this.addPoint(this.objects[f[1]]),b;for(a=0;a<g.length;a++){g[a]=parseFloat(g[a])}b=this.board.create("line",[function(){return g[2]-g[0]*e.X()-g[1]*e.Y()-g[2]*e.Z()},g[0],g[1]],{name:f[0],strokeColor:"black",withLabel:true});this.objects[f[0]]=b;this.objects[f[0]].exists=true};this.addLineParallelToLineThroughPoint=function(d,e){var f=JXG.IntergeoReader.readParams(d),b,a,c;b=this.addPoint(this.objects[f[1]]);a=this.addPoint(this.objects[f[2]]);c=this.board.create("parallel",[b.id,a.id],{name:f[0],withLabel:true,straightFirst:!e,straightLast:true});this.objects[f[0]]=c;this.objects[f[0]].exists=true};this.addLinePerpendicularToLineThroughPoint=function(d){var e=JXG.IntergeoReader.readParams(d),b,a,c;b=this.addPoint(this.objects[e[1]]);a=this.addPoint(this.objects[e[2]]);c=this.board.create("perpendicular",[b.id,a.id],{name:e[0],id:e[0],straightFirst:true,straightLast:true,point:{name:e[0]+"foot",id:e[0]+"foot"},withLabel:true});this.objects[e[0]]=c;this.objects[e[0]].exists=true};this.addLineSegmentByTwoPoints=function(d){var e=JXG.IntergeoReader.readParams(d),b,a,c;b=this.addPoint(this.objects[e[1]]);a=this.addPoint(this.objects[e[2]]);c=this.board.create("line",[b.id,a.id],{name:e[0],straightFirst:false,straightLast:false,strokeColor:"black",withLabel:true});this.objects[e[0]]=c;this.objects[e[0]].exists=true};this.addPointIntersectionOfTwoLines=function(c){var d=JXG.IntergeoReader.readParams(c),b=this.objects[d[1]],a=this.objects[d[2]];this.objects[d[0]]=this.board.create("intersection",[b,a,0],{name:d[0],id:d[0],withLabel:true});this.setAttributes(this.objects[d[0]]);this.objects[d[0]].exists=true};this.addFreeLine=function(g){var h=JXG.IntergeoReader.readParams(g),e=this.objects[h[0]].coords[0],d=this.objects[h[0]].coords[1],i=this.objects[h[0]].coords[2],f=this.board.create("line",[i,e,d],{name:h[0],id:h[0],withLabel:true});this.objects[h[0]]=f;this.objects[h[0]].exists=true};this.addPointOnLine=function(c){var d=JXG.IntergeoReader.readParams(c),a=JXG.getReference(this.board,d[1]),b;b=this.board.create("glider",[0,0,a],{name:d[0],id:d[0],withLabel:true});this.objects[d[0]].exists=true};this.addPointOnCircle=function(b){var d=JXG.IntergeoReader.readParams(b),e=JXG.getReference(this.board,d[1]),a;e.update();a=this.board.create("glider",[this.objects[d[0]].coords[1],this.objects[d[0]].coords[2],e],{name:d[0],id:d[0],withLabel:true});this.objects[d[0]].exists=true};this.addEndpointsOfLineSegment=function(b){var e=JXG.IntergeoReader.readParams(b),a=this.objects[e[2]],d=this.addPoint(this.objects[e[0]]),c=this.addPoint(this.objects[e[1]]);d.addConstraint([function(){return a.point1.Z()},function(){return a.point1.X()},function(){return a.point1.Y()}]);c.addConstraint([function(){return a.point2.Z()},function(){return a.point2.X()},function(){return a.point2.Y()}]);this.setAttributes(d);this.setAttributes(c)};this.addAngularBisectorOfThreePoints=function(f,b){var g=JXG.IntergeoReader.readParams(f),d,c,a,e;d=this.addPoint(this.objects[g[1]]);c=this.addPoint(this.objects[g[2]]);a=this.addPoint(this.objects[g[3]]);e=this.board.create("bisector",[d.id,c.id,a.id],{name:g[0],id:g[0],withLabel:true,straightFirst:b,straightLast:true,strokeColor:"#000000"});this.objects[g[0]]=e;this.objects[g[0]].exists=true};this.addMidpointOfTwoPoints=function(d){var e=JXG.IntergeoReader.readParams(d),b,a,c;b=this.addPoint(this.objects[e[1]]);a=this.addPoint(this.objects[e[2]]);c=this.board.create("midpoint",[b.id,a.id],{name:e[0]});this.setAttributes(c);this.objects[e[0]].exists=true};this.addMidpointOfLineSegment=function(b){var c=JXG.IntergeoReader.readParams(b),a=JXG.getReference(this.board,c[1]);el=this.board.create("midpoint",[a.point1,a.point2],{name:c[0]});this.setAttributes(el);this.objects[c[0]].exists=true};this.addCircleByThreePoints=function(c){var e=JXG.IntergeoReader.readParams(c),d=[],b,a;for(b=0;b<3;b++){d[b]=this.addPoint(this.objects[e[b+1]])}a=this.board.create("circumcircle",d,{name:e[0],id:e[0],point:{name:e[0]+"c",id:e[0]+"c"},withLabel:true});this.objects[e[0]].exists=true};this.addCenterOfCircle=function(b){var d=JXG.IntergeoReader.readParams(b),e=JXG.getReference(this.board,d[1]),a=this.board.create("point",[function(){return e.center.X()},function(){return e.center.Y()}],{name:d[0],id:d[0],withLabel:true});this.setAttributes(a);this.objects[d[0]].exists=true};this.addCircleTangentLinesByPoint=function(e){var d=JXG.IntergeoReader.readParams(e),k=JXG.getReference(this.board,d[2]),b=this.addPoint(this.objects[d[3]]),f,a,h,g,j,i;a=this.board.create("line",[function(){return JXG.Math.matVecMult(k.quadraticform,b.coords.usrCoords)[0]},function(){return JXG.Math.matVecMult(k.quadraticform,b.coords.usrCoords)[1]},function(){return JXG.Math.matVecMult(k.quadraticform,b.coords.usrCoords)[2]}],{visible:false});h=this.board.create("intersection",[k,a,0],{visible:false});g=this.board.create("intersection",[k,a,1],{visible:false});j=this.board.create("tangent",[h,k]);i=this.board.create("tangent",[g,k]);this.objects[d[0]]=j;this.objects[d[1]]=i;this.objects[d[0]].exists=true;this.objects[d[1]].exists=true};this.addIntersectionPointsOfTwoCircles=function(c){var f=JXG.IntergeoReader.readParams(c),b=JXG.getReference(this.board,f[2]),a=JXG.getReference(this.board,f[3]),e,d;e=this.board.create("intersection",[b,a,0],{name:f[0],id:f[0],withLabel:true});d=this.board.create("intersection",[b,a,1],{name:f[1],id:f[1],withLabel:true});this.setAttributes(e);this.setAttributes(d);this.objects[f[0]].exists=true;this.objects[f[1]].exists=true};this.addIntersectionPointsOfCircleAndLine=function(c){var f=JXG.IntergeoReader.readParams(c),b=JXG.getReference(this.board,f[2]),a=JXG.getReference(this.board,f[3]),e,d;e=this.board.create("intersection",[b,a,0],{name:f[0],id:f[0],withLabel:true});d=this.board.create("intersection",[b,a,1],{name:f[1],id:f[1],withLabel:true});this.setAttributes(e);this.setAttributes(d);this.objects[f[0]].exists=true;this.objects[f[1]].exists=true};this.addCircleByCenterAndPoint=function(c){var d=JXG.IntergeoReader.readParams(c),b=this.addPoint(this.objects[d[1]]),a=this.addPoint(this.objects[d[2]]);el=this.board.create("circle",[b.id,a.id],{name:d[0],id:d[0],withLabel:true});this.objects[d[0]].exists=true};this.addOtherIntersectionPointOfTwoCircles=function(c){var f=JXG.IntergeoReader.readParams(c),b=JXG.getReference(this.board,f[2]),a=JXG.getReference(this.board,f[3]),e=JXG.getReference(this.board,f[1]),d;d=this.board.create("otherintersection",[b,a,e],{name:f[0],id:f[0],withLabel:true});this.setAttributes(d);this.objects[f[0]].exists=true};this.addOtherIntersectionPointOfCircleAndLine=function(a){this.addOtherIntersectionPointOfTwoCircles(a)};this.addAngularBisectorsOfTwoLines=function(e,d){var f=JXG.IntergeoReader.readParams(e),b=this.objects[f[2]],a=this.objects[f[3]],c;c=this.board.create("bisectorlines",[b,a],{line1:{name:f[0],id:f[0],straightFirst:true,straightLast:true},line2:{name:f[1],id:f[1],straightFirst:true,straightLast:true},withLabel:true});this.objects[f[0]].exists=true;this.objects[f[1]].exists=true};this.addPolygonByVertices=function(c){var a,g,e=[],d=[],b,f=JXG.IntergeoReader.readParams(c);for(a=0;a<c.childNodes.length;a++){if(c.childNodes[a].nodeType==1){if(c.childNodes[a].nodeName=="list_of_vertices"){g=c.childNodes[a];e=JXG.IntergeoReader.readParams(g);break}}}for(a=0;a<e.length;a++){d.push(this.addPoint(this.objects[e[a]]))}b=this.board.create("polygon",d,{name:f[0],id:f[0],withLabel:true});this.objects[f[0]].exists=true};this.addVectorFromPointToPoint=function(c){var d=JXG.IntergeoReader.readParams(c),b,a;b=this.addPoint(this.objects[d[1]]);a=this.addPoint(this.objects[d[2]]);el=this.board.create("arrow",[b.id,a.id],{name:d[0]});this.setAttributes(el);this.objects[d[0]].exists=true};this.addLocusDefinedByPoint=function(b){var c=JXG.IntergeoReader.readParams(b),a=JXG.getReference(this.board,c[1]);a.setProperty({trace:true});this.objects[c[1]]=a;this.setAttributes(a)};this.addLocusDefinedByPointOnLine=function(b){var c=JXG.IntergeoReader.readParams(b),a=JXG.getReference(this.board,c[1]);a.setProperty({trace:true});this.objects[c[1]]=a;this.setAttributes(a)};this.addLocusDefinedByLineThroughPoint=function(b){var c=JXG.IntergeoReader.readParams(b),a=JXG.getReference(this.board,c[1]);a.setProperty({trace:true});this.objects[c[1]]=a;this.setAttributes(a)};this.addLocusDefinedByPointOnCircle=function(b){var c=JXG.IntergeoReader.readParams(b),a=JXG.getReference(this.board,c[1]);a.setProperty({trace:true});this.objects[c[1]]=a;this.setAttributes(a)};this.prepareString=function(b){var c=[],a;if(b.indexOf("<")!=0){for(a=0;a<b.length;a++){c[a]=JXG.Util.asciiCharCodeAt(b,a)}b=(new JXG.Util.Unzip(c)).unzipFile("construction/intergeo.xml")}return b};this.readDisplay=function(a){var c,b;if(!JXG.exists(a)||!JXG.isArray(a)){return}for(c=0;c<a[0].childNodes.length;c++){(function(g){var h,f,l={},e,k;h=a[0].childNodes[g];if(h.nodeType>1){return}if(h.nodeName=="background-color"){this.board.containerObj.style.backgroundColor=h.firstChild.data}else{if(h.nodeName=="style"){f=JXG.getReference(this.board,h.getAttribute("ref"));var i=[],d;for(d=0;d<h.childNodes.length;d++){if(h.childNodes[d].nodeType==1){e=h.childNodes[d].nodeName;k=h.childNodes[d].firstChild.data;if(e=="stroke"){e="strokeColor"}else{if(e=="stroke-width"||e=="border-width"){e="strokeWidth"}else{if(e=="fill"){e="fillColor"}else{if(e=="fill-opacity"){e="fillOpacity"}else{if(e=="border-opacity"){e="strokeOpacity"}else{if(e=="point-size"){e="size"}else{if(e=="label"){e="name"}else{if(e=="point-style"){e="face";if(k=="circle"){k="o"}else{if(k=="cross"){k="+"}else{if(k=="x-mark"){k="x"}else{if(k=="square"){k="[]"}else{if(k=="triangle"){k="triangleup"}else{if(k=="point"){k="o"}else{JXG.debug("Display: not implemented"+h.nodeName)}}}}}}}}}}}}}}l[e]=k}}f.setProperty(l)}else{JXG.debug("Display: not implemented"+h.nodeName)}}})(c)}}};
\ No newline at end of file
diff --git a/ajax/libs/jsxgraph/0.95/jsxgraphcore.js b/ajax/libs/jsxgraph/0.95/jsxgraphcore.js
new file mode 100644
index 000000000..37ee70f1e
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.95/jsxgraphcore.js
@@ -0,0 +1,26 @@
+/* Version 0.95 */
+/*
+    Copyright 2008-2012
+        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 <http://www.gnu.org/licenses/>.
+*/
+    var JXG={};(function(){var d,e;JXG.countDrawings=0;JXG.countTime=0;JXG.require=function(f){};JXG.rendererFiles={};JXG.rendererFiles.svg="SVGRenderer";JXG.rendererFiles.vml="VMLRenderer";JXG.rendererFiles.canvas="CanvasRenderer";JXG.baseFiles=null;JXG.requirePath="";if(typeof document!=="undefined"){for(d=0;d<document.getElementsByTagName("script").length;d++){e=document.getElementsByTagName("script")[d];if(e.src&&e.src.match(/loadjsxgraphInOneFile\.js(\?.*)?$/)){JXG.requirePath=e.src.replace(/loadjsxgraphInOneFile\.js(\?.*)?$/,"")}}}JXG.serverBase=JXG.requirePath+"server/"})();JXG.extend=function(d,j,f,i){var h,g;f=f||false;i=i||false;for(h in j){if(!f||(f&&j.hasOwnProperty(h))){if(i){g=h.toLowerCase()}else{g=h}d[g]=j[h]}}};JXG.shortcut=function(e,d){return function(){return e[d].apply(this,arguments)}};JXG.extend(JXG,{touchProperty:"touches",supportsVML:function(){return typeof document!="undefined"&&!!document.namespaces},supportsSVG:function(){return typeof document!="undefined"&&document.implementation.hasFeature("http://www.w3.org/TR/SVG11/feature#BasicStructure","1.1")},supportsCanvas:function(){return typeof document!="undefined"&&!!document.createElement("canvas").getContext},isAndroid:function(){return navigator.userAgent.toLowerCase().search("android")>-1},isWebkitAndroid:function(){return this.isAndroid()&&navigator.userAgent.search(" AppleWebKit/")>-1},isApple:function(){return(navigator.userAgent.search(/iPad/)!=-1||navigator.userAgent.search(/iPhone/)!=-1)},isWebkitApple:function(){return this.isApple()&&(navigator.userAgent.search(/Mobile *.*Safari/)>-1)},clearVisPropOld:function(d){d.visPropOld={strokecolor:"",strokeopacity:"",strokewidth:"",fillcolor:"",fillopacity:"",shadow:false,firstarrow:false,lastarrow:false,cssclass:"",fontsize:-1}},ieVersion:(function(){var f;if(typeof document=="undefined"){return f}var d=3,g=document.createElement("div"),e=g.getElementsByTagName("i");while(g.innerHTML="<!--[if gt IE 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function(h,l){return(j.apply(k,[h+i,l])-j.apply(k,[h-i,l]))*g}}},riemann:function(r,m,s,k,o){var l=[],z=[],q,p=0,w,v=k,t,h,u,g;m=d.round(m);l[p]=v;z[p]=0;if(m>0){w=(o-k)/m;g=w*0.01;for(q=0;q<m;q++){if(s==="right"){t=r(v+w)}else{if(s==="middle"){t=r(v+w*0.5)}else{if((s==="left")||(s==="trapezodial")){t=r(v)}else{if(s==="lower"){t=r(v);for(h=v+g;h<=v+w;h+=g){u=r(h);if(u<t){t=u}}}else{t=r(v);for(h=v+g;h<=v+w;h+=g){u=r(h);if(u>t){t=u}}}}}}p++;l[p]=v;z[p]=t;p++;v+=w;if(s==="trapezodial"){t=r(v)}l[p]=v;z[p]=t;p++;l[p]=v;z[p]=0}}return[l,z]},riemannsum:function(o,k,q,j,l){var p=0,m,u,t=j,r,h,s,g;k=d.floor(k);if(k>0){u=(l-j)/k;g=u*0.01;for(m=0;m<k;m++){if(q==="right"){r=o(t+u)}else{if(q==="middle"){r=o(t+u*0.5)}else{if(q==="trapezodial"){r=0.5*(o(t+u)+o(t))}else{if(q==="left"){r=o(t)}else{if(q==="lower"){r=o(t);for(h=t+g;h<=t+u;h+=g){s=o(h);if(s<r){r=s}}}else{r=o(t);for(h=t+g;h<=t+u;h+=g){s=o(h);if(s>r){r=s}}}}}}}p+=u*r;t+=u}}return p},rungeKutta:function(g,G,o,m,F){var p=[],n=[],E=(o[1]-o[0])/m,u=o[0],H,D,C,A,z,B=G.length,v,q=[],w=0;if(e.isString(g)){g=f[g]||f.euler}v=g.s;for(H=0;H<B;H++){p[H]=G[H]}for(D=0;D<m;D++){q[w]=[];for(H=0;H<B;H++){q[w][H]=p[H]}w++;A=[];for(C=0;C<v;C++){for(H=0;H<B;H++){n[H]=0}for(z=0;z<C;z++){for(H=0;H<B;H++){n[H]+=(g.A[C][z])*E*A[z][H]}}for(H=0;H<B;H++){n[H]+=p[H]}A.push(F(u+g.c[C]*E,n))}for(H=0;H<B;H++){n[H]=0}for(z=0;z<v;z++){for(H=0;H<B;H++){n[H]+=g.b[z]*A[z][H]}}for(H=0;H<B;H++){p[H]=p[H]+E*n[H]}u+=E}return q},maxIterationsRoot:80,maxIterationsMinimize:500,fzero:function(H,I,N){var A=e.Math.eps,g=this.maxIterationsRoot,z=0,C=0,o=A,L,K,J,B,w,v,M,j,E,F,n,h,D,G,t,r,m,l,s,k;if(e.isArray(I)){if(I.length<2){throw new Error("JXG.Math.Numerics.fzero: length of array x0 has to be at least two.")}L=I[0];B=H.apply(N,[L]);C++;K=I[1];w=H.apply(N,[K]);C++}else{L=I;B=H.apply(N,[L]);C++;if(L==0){M=1}else{M=L}j=[0.9*M,1.1*M,M-1,M+1,0.5*M,1.5*M,-M,2*M,-10*M,10*M];F=j.length;for(E=0;E<F;E++){K=j[E];w=H.apply(N,[K]);C++;if(B*w<=0){break}}if(K<L){n=L;L=K;K=n;h=B;B=w;w=h}}if(B*w>0){if(e.isArray(I)){return this.fminbr(H,[L,K],N)}else{return this.Newton(H,L,N)}}J=L;v=B;while(z<g){D=K-L;if(d.abs(v)<d.abs(w)){L=K;K=J;J=L;B=w;w=v;v=B}G=2*o*d.abs(K)+A*0.5;m=(J-K)*0.5;if(d.abs(m)<=G&&d.abs(w)<=o){return K}if(d.abs(D)>=G&&d.abs(B)>d.abs(w)){s=J-K;if(L==J){l=w/B;t=s*l;r=1-l}else{r=B/v;l=w/v;k=w/B;t=k*(s*r*(r-l)-(K-L)*(l-1));r=(r-1)*(l-1)*(k-1)}if(t>0){r=-r}else{t=-t}if(t<(0.75*s*r-d.abs(G*r)*0.5)&&t<d.abs(D*r*0.5)){m=t/r}}if(d.abs(m)<G){if(m>0){m=G}else{m=-G}}L=K;B=w;K+=m;w=H.apply(N,[K]);C++;if((w>0&&v>0)||(w<0&&v<0)){J=L;v=B}z++}return K},fminbr:function(H,I,M){var L,J,l,o,n,h,j,i,z=(3-d.sqrt(5))*0.5,E=e.Math.eps,B=d.sqrt(e.Math.eps),g=this.maxIterationsMinimize,D=0,u,K,G,m,C,A,s,k,F=0;if(!e.isArray(I)||I.length<2){throw new Error("JXG.Math.Numerics.fminbr: length of array x0 has to be at least two.")}L=I[0];J=I[1];o=L+z*(J-L);j=H.apply(M,[o]);F++;l=o;n=o;h=j;i=j;while(D<g){u=J-L;K=(L+J)*0.5;G=B*d.abs(l)+E/3;if(d.abs(l-K)+u*0.5<=2*G){return l}m=z*(l<K?J-l:L-l);if(d.abs(l-n)>=G){s=(l-n)*(h-j);A=(l-o)*(h-i);C=(l-o)*A-(l-n)*s;A=2*(A-s);if(A>0){C=-C}else{A=-A}if(d.abs(C)<d.abs(m*A)&&C>A*(L-l+2*G)&&C<A*(J-l-2*G)){m=C/A}}if(d.abs(m)<G){if(m>0){m=G}else{m=-G}}s=l+m;k=H.apply(M,[s]);F++;if(k<=h){if(s<l){J=l}else{L=l}o=n;n=l;l=s;j=i;i=h;h=k}else{if(s<l){L=s}else{J=s}if(k<=i||n==l){o=n;n=s;j=i;i=k}else{if(k<=j||o==l||o==n){o=s;j=k}}}D++}return l},reuleauxPolygon:function(i,j){var m=d.PI*2,h=m/j,l=(j-1)/2,k,n=0,g=function(p,o){return function(r,u){if(!u){n=i[0].Dist(i[l]);k=e.Math.Geometry.rad([i[0].X()+1,i[0].Y()],i[0],i[(l)%j])}var s=(r%m+m)%m;var q=d.floor(s/h)%j;if(isNaN(q)){return q}s=s*0.5+q*h*0.5+k;return i[q][p]()+n*d[o](s)}};return[g("X","cos"),g("Y","sin"),0,d.PI*2]},RamerDouglasPeuker:function(p,h){var m=[],o,l,g,j=function(u,t,s,q,r){var k=n(u,t,s);if(k[0]>q){j(u,t,k[1],q,r);j(u,k[1],s,q,r)}else{r.push(u[s])}},n=function(G,v,u){var A=0,w=v,z,t,H,F,E,s,D,r,B,C,q;if(u-v<2){return[-1,0]}H=G[v].scrCoords;F=G[u].scrCoords;if(isNaN(H[1]+H[2]+F[1]+F[2])){return[NaN,u]}for(t=v+1;t<u;t++){E=G[t].scrCoords;s=E[1]-H[1];D=E[2]-H[2];r=F[1]-H[1];B=F[2]-H[2];C=r*r+B*B;if(C>=e.Math.eps){q=(s*r+D*B)/C;if(q<0){q=0}else{if(q>1){q=1}}s=s-q*r;D=D-q*B;z=s*s+D*D}else{q=0;z=s*s+D*D}if(z>A){A=z;w=t}}return[d.sqrt(A),w]};g=p.length;o=0;while(o<g&&isNaN(p[o].scrCoords[1]+p[o].scrCoords[2])){o++}l=g-1;while(l>o&&isNaN(p[l].scrCoords[1]+p[l].scrCoords[2])){l--}if(!(o>l||o==g)){m[0]=p[o];j(p,o,l,h,m)}return m}}})(JXG,Math);JXG.Math.Statistics={sum:function(e){var g,d=e.length,f=0;for(g=0;g<d;g++){f+=e[g]}return f},prod:function(e){var g,d=e.length,f=1;for(g=0;g<d;g++){f*=e[g]}return f},mean:function(d){if(d.length>0){return this.sum(d)/d.length}else{return 0}},median:function(e){var f,d;if(e.length>0){f=e.slice(0);f.sort(function(h,g){return h-g});d=f.length;if(d%2==1){return f[parseInt(d*0.5)]}else{return(f[d*0.5-1]+f[d*0.5])*0.5}}else{return 0}},variance:function(f){var e,h,g,d=f.length;if(d>1){e=this.mean(f);h=0;for(g=0;g<d;g++){h+=(f[g]-e)*(f[g]-e)}return h/(f.length-1)}else{return 0}},sd:function(d){return Math.sqrt(this.variance(d))},weightedMean:function(d,e){if(d.length!=e.length){throw new Error("JSXGraph error (Math.Statistics.weightedMean): Array dimension mismatch.")}if(d.length>0){return this.mean(this.multiply(d,e))}else{return 0}},max:function(d){return Math.max.apply(this,d)},min:function(d){return Math.min.apply(this,d)},range:function(d){return[this.min(d),this.max(d)]},abs:function(e){var g,d,f;if(JXG.isArray(e)){d=e.length;f=[];for(g=0;g<d;g++){f[g]=Math.abs(e[g])}}else{f=Math.abs(e)}return f},add:function(f,e){var h,d,g=[];if(JXG.isArray(f)&&JXG.isNumber(e)){d=f.length;for(h=0;h<d;h++){g[h]=f[h]+e}}else{if(JXG.isNumber(f)&&JXG.isArray(e)){d=e.length;for(h=0;h<d;h++){g[h]=f+e[h]}}else{if(JXG.isArray(f)&&JXG.isArray(e)){d=Math.min(f.length,e.length);for(h=0;h<d;h++){g[h]=f[h]+e[h]}}else{g=f+e}}}return g},div:function(f,e){var h,d,g=[];if(JXG.isArray(f)&&JXG.isNumber(e)){d=f.length;for(h=0;h<d;h++){g[h]=f[h]/e}}else{if(JXG.isNumber(f)&&JXG.isArray(e)){d=e.length;for(h=0;h<d;h++){g[h]=f/e[h]}}else{if(JXG.isArray(f)&&JXG.isArray(e)){d=Math.min(f.length,e.length);for(h=0;h<d;h++){g[h]=f[h]/e[h]}}else{g=f/e}}}return g},divide:JXG.shortcut(JXG.Math.Statistics,"div"),mod:function(f,e,k){var j,d,h=[],g=function(l,i){return l%i};k=JXG.def(k,false);if(k){g=JXG.Math.mod}if(JXG.isArray(f)&&JXG.isNumber(e)){d=f.length;for(j=0;j<d;j++){h[j]=g(f[j],e)}}else{if(JXG.isNumber(f)&&JXG.isArray(e)){d=e.length;for(j=0;j<d;j++){h[j]=g(f,e[j])}}else{if(JXG.isArray(f)&&JXG.isArray(e)){d=Math.min(f.length,e.length);for(j=0;j<d;j++){h[j]=g(f[j],e[j])}}else{h=g(f,e)}}}return h},multiply:function(f,e){var h,d,g=[];if(JXG.isArray(f)&&JXG.isNumber(e)){d=f.length;for(h=0;h<d;h++){g[h]=f[h]*e}}else{if(JXG.isNumber(f)&&JXG.isArray(e)){d=e.length;for(h=0;h<d;h++){g[h]=f*e[h]}}else{if(JXG.isArray(f)&&JXG.isArray(e)){d=Math.min(f.length,e.length);for(h=0;h<d;h++){g[h]=f[h]*e[h]}}else{g=f*e}}}return g},subtract:function(f,e){var h,d,g=[];if(JXG.isArray(f)&&JXG.isNumber(e)){d=f.length;for(h=0;h<d;h++){g[h]=f[h]-e}}else{if(JXG.isNumber(f)&&JXG.isArray(e)){d=e.length;for(h=0;h<d;h++){g[h]=f-e[h]}}else{if(JXG.isArray(f)&&JXG.isArray(e)){d=Math.min(f.length,e.length);for(h=0;h<d;h++){g[h]=f[h]-e[h]}}else{g=f-e}}}return g}};JXG.Math.Symbolic=function(d,e){return{generateSymbolicCoordinatesPartial:function(o,j,i,g){var f=function(k){var q;if(g==="underscore"){q=""+i+"_{"+k+"}"}else{if(g=="brace"){q=""+i+"["+k+"]"}else{q=""+i+""+k}}return q},m=j.ancestors,l=0,n,p,h;o.listOfFreePoints=[];o.listOfDependantPoints=[];for(p in m){n=0;if(d.isPoint(m[p])){for(h in m[p].ancestors){n++}if(n===0){m[p].symbolic.x=m[p].coords.usrCoords[1];m[p].symbolic.y=m[p].coords.usrCoords[2];o.listOfFreePoints.push(m[p])}else{l++;m[p].symbolic.x=f(l);l++;m[p].symbolic.y=f(l);o.listOfDependantPoints.push(m[p])}}}if(d.isPoint(j)){j.symbolic.x="x";j.symbolic.y="y"}return l},clearSymbolicCoordinates:function(g){var f=function(j){var i,h=(j&&j.length)||0;for(i=0;i<h;i++){if(d.isPoint(j[i])){j[i].symbolic.x="";j[i].symbolic.y=""}}};f(g.listOfFreePoints);f(g.listOfDependantPoints);delete (g.listOfFreePoints);delete (g.listOfDependantPoints)},generatePolynomials:function(n,h,j){var m=h.ancestors,o,l=[],q=[],p,f,g;if(j){this.generateSymbolicCoordinatesPartial(n,h,"u","brace")}m[h.id]=h;for(p in m){o=0;l=[];if(d.isPoint(m[p])){for(f in m[p].ancestors){o++}if(o>0){l=m[p].generatePolynomial();for(g=0;g<l.length;g++){q.push(l[g])}}}}if(j){this.clearSymbolicCoordinates(n)}return q},geometricLocusByGroebnerBase:function(n,B){var l=this.generateSymbolicCoordinatesPartial(n,B,"u","brace"),m,h,q,f={},v=new d.Coords(d.COORDS_BY_USR,[0,0],n),t=new d.Coords(d.COORDS_BY_USR,[n.canvasWidth,n.canvasHeight],n),k,j,E,H=1,u=0,r=0,o=0,F,w,G,p,A,C,g,D=function(I,J){var s;for(s=0;s<J.length;s++){if(J[s].id===I){return true}}return false},z=n.options.locus;if(d.Server.modules.geoloci===e){d.Server.loadModule("geoloci")}if(d.Server.modules.geoloci===e){throw new Error("JSXGraph: Unable to load JXG.Server module 'geoloci.py'.")}p=v.usrCoords[1];A=t.usrCoords[1];C=t.usrCoords[2];g=v.usrCoords[2];if(z.translateToOrigin&&(n.listOfFreePoints.length>0)){if((z.toOrigin!==e)&&(z.toOrigin!=null)&&D(z.toOrigin.id,n.listOfFreePoints)){k=z.toOrigin}else{k=n.listOfFreePoints[0]}u=k.symbolic.x;r=k.symbolic.y;for(E=0;E<n.listOfFreePoints.length;E++){n.listOfFreePoints[E].symbolic.x-=u;n.listOfFreePoints[E].symbolic.y-=r}p-=u;A-=u;C-=r;g-=r;if(z.translateTo10&&(n.listOfFreePoints.length>1)){if((z.to10!==e)&&(z.to10!=null)&&(z.to10.id!=z.toOrigin.id)&&D(z.to10.id,n.listOfFreePoints)){j=z.to10}else{if(n.listOfFreePoints[0].id==k.id){j=n.listOfFreePoints[1]}else{j=n.listOfFreePoints[0]}}o=d.Math.Geometry.rad([1,0],[0,0],[j.symbolic.x,j.symbolic.y]);F=Math.cos(-o);w=Math.sin(-o);for(E=0;E<n.listOfFreePoints.length;E++){G=n.listOfFreePoints[E].symbolic.x;n.listOfFreePoints[E].symbolic.x=F*n.listOfFreePoints[E].symbolic.x-w*n.listOfFreePoints[E].symbolic.y;n.listOfFreePoints[E].symbolic.y=w*G+F*n.listOfFreePoints[E].symbolic.y}j.symbolic.y=0;G=p;p=F*p-w*C;C=w*G+F*C;G=A;A=F*A-w*g;g=w*G+F*g;if(z.stretch&&(Math.abs(j.symbolic.x)>d.Math.eps)){H=j.symbolic.x;for(E=0;E<n.listOfFreePoints.length;E++){n.listOfFreePoints[E].symbolic.x/=H;n.listOfFreePoints[E].symbolic.y/=H}for(E in n.objects){if((n.objects[E].elementClass==d.OBJECT_CLASS_CIRCLE)&&(n.objects[E].method=="pointRadius")){f[E]=n.objects[E].radius;n.objects[E].radius/=H}}p/=H;A/=H;C/=H;g/=H;j.symbolic.x=1}}for(E=0;E<n.listOfFreePoints.length;E++){G=n.listOfFreePoints[E].symbolic.x;if(Math.abs(G)<d.Math.eps){n.listOfFreePoints[E].symbolic.x=0}if(Math.abs(G-Math.round(G))<d.Math.eps){n.listOfFreePoints[E].symbolic.x=Math.round(G)}G=n.listOfFreePoints[E].symbolic.y;if(Math.abs(G)<d.Math.eps){n.listOfFreePoints[E].symbolic.y=0}if(Math.abs(G-Math.round(G))<d.Math.eps){n.listOfFreePoints[E].symbolic.y=Math.round(G)}}}m=this.generatePolynomials(n,B);h=m.join(",");this.cbp=function(i){q=i};this.cb=d.bind(this.cbp,this);d.Server.modules.geoloci.lociCoCoA(p,A,C,g,l,h,H,o,u,r,this.cb,true);this.clearSymbolicCoordinates(n);for(E in f){n.objects[E].radius=f[E]}return q}}}(JXG);JXG.Math.Geometry={};JXG.extend(JXG.Math.Geometry,{angle:function(f,e,d){var i=[],h=[],g=[],k,j,m,l;if(f.coords==null){i[0]=f[0];i[1]=f[1]}else{i[0]=f.coords.usrCoords[1];i[1]=f.coords.usrCoords[2]}if(e.coords==null){h[0]=e[0];h[1]=e[1]}else{h[0]=e.coords.usrCoords[1];h[1]=e.coords.usrCoords[2]}if(d.coords==null){g[0]=d[0];g[1]=d[1]}else{g[0]=d.coords.usrCoords[1];g[1]=d.coords.usrCoords[2]}k=i[0]-h[0];j=i[1]-h[1];m=g[0]-h[0];l=g[1]-h[1];return Math.atan2(k*l-j*m,k*m+j*l)},trueAngle:function(d,f,e){return this.rad(d,f,e)*57.29577951308232},rad:function(g,f,e){var d,m,l,k,i,h,j;if(g.coords==null){d=g[0];m=g[1]}else{d=g.coords.usrCoords[1];m=g.coords.usrCoords[2]}if(f.coords==null){l=f[0];k=f[1]}else{l=f.coords.usrCoords[1];k=f.coords.usrCoords[2]}if(e.coords==null){i=e[0];h=e[1]}else{i=e.coords.usrCoords[1];h=e.coords.usrCoords[2]}j=Math.atan2(h-k,i-l)-Math.atan2(m-k,d-l);if(j<0){j+=6.283185307179586}return j},angleBisector:function(i,h,f,l){var g=i.coords.usrCoords,o=h.coords.usrCoords,j=f.coords.usrCoords,p=g[1]-o[1],n=g[2]-o[2],m=Math.sqrt(p*p+n*n),e,q,k;if(!JXG.exists(l)){l=i.board}p/=m;n/=m;e=Math.acos(p);if(n<0){e*=-1}if(e<0){e+=2*Math.PI}p=j[1]-o[1];n=j[2]-o[2];m=Math.sqrt(p*p+n*n);p/=m;n/=m;q=Math.acos(p);if(n<0){q*=-1}if(q<0){q+=2*Math.PI}k=(e+q)*0.5;if(e>q){k+=Math.PI}p=Math.cos(k)+o[1];n=Math.sin(k)+o[2];return new JXG.Coords(JXG.COORDS_BY_USER,[p,n],l)},reflection:function(o,l,f){var h=l.coords.usrCoords,p=o.point1.coords.usrCoords,g=o.point2.coords.usrCoords,e,k,d,i,m,j,n;if(!JXG.exists(f)){f=l.board}m=g[1]-p[1];j=g[2]-p[2];e=h[1]-p[1];k=h[2]-p[2];n=(m*k-j*e)/(m*m+j*j);d=h[1]+2*n*j;i=h[2]-2*n*m;return new JXG.Coords(JXG.COORDS_BY_USER,[d,i],f)},rotation:function(d,n,h,i){var k=n.coords.usrCoords,e=d.coords.usrCoords,g,m,j,o,f,l;if(!JXG.exists(i)){i=n.board}g=k[1]-e[1];m=k[2]-e[2];j=Math.cos(h);o=Math.sin(h);f=g*j-m*o+e[1];l=g*o+m*j+e[2];return new JXG.Coords(JXG.COORDS_BY_USER,[f,l],i)},perpendicular:function(q,o,i){var h=q.point1.coords.usrCoords,g=q.point2.coords.usrCoords,e=o.coords.usrCoords,m,l,k,p,j,f,d,n;if(!JXG.exists(i)){i=o.board}if(o==q.point1){m=h[1]+g[2]-h[2];l=h[2]-g[1]+h[1];k=true}else{if(o==q.point2){m=g[1]+h[2]-g[2];l=g[2]-h[1]+g[1];k=false}else{if(((Math.abs(h[1]-g[1])>JXG.Math.eps)&&(Math.abs(e[2]-(h[2]-g[2])*(e[1]-h[1])/(h[1]-g[1])-h[2])<JXG.Math.eps))||((Math.abs(h[1]-g[1])<=JXG.Math.eps)&&(Math.abs(h[1]-e[1])<JXG.Math.eps))){m=e[1]+g[2]-e[2];l=e[2]-g[1]+e[1];k=true;if(Math.abs(m-e[1])<JXG.Math.eps&&Math.abs(l-e[2])<JXG.Math.eps){m=e[1]+h[2]-e[2];l=e[2]-h[1]+e[1];k=false}}else{p=h[2]-g[2];j=h[1]-g[1];f=g[1]*p-g[2]*j;d=e[1]*j+e[2]*p;n=p*p+j*j;if(Math.abs(n)<JXG.Math.eps){n=JXG.Math.eps}m=(f*p+d*j)/n;l=(d*p-f*j)/n;k=true}}}return[new JXG.Coords(JXG.COORDS_BY_USER,[m,l],i),k]},circumcenterMidpoint:JXG.shortcut(JXG.Math.Geometry,"circumcenter"),circumcenter:function(j,i,h,g){var f=j.coords.usrCoords,e=i.coords.usrCoords,d=h.coords.usrCoords,m,k,n,l;if(!JXG.exists(g)){g=j.board}m=[e[0]-f[0],-e[2]+f[2],e[1]-f[1]];k=[(f[0]+e[0])*0.5,(f[1]+e[1])*0.5,(f[2]+e[2])*0.5];n=JXG.Math.crossProduct(m,k);m=[d[0]-e[0],-d[2]+e[2],d[1]-e[1]];k=[(e[0]+d[0])*0.5,(e[1]+d[1])*0.5,(e[2]+d[2])*0.5];l=JXG.Math.crossProduct(m,k);return new JXG.Coords(JXG.COORDS_BY_USER,JXG.Math.crossProduct(n,l),g)},distance:function(h,g){var f=0,e,d;if(h.length!=g.length){return NaN}d=h.length;for(e=0;e<d;e++){f+=(h[e]-g[e])*(h[e]-g[e])}return Math.sqrt(f)},affineDistance:function(f,e){var g;if(f.length!=e.length){return NaN}g=this.distance(f,e);if(g>JXG.Math.eps&&(Math.abs(f[0])<JXG.Math.eps||Math.abs(e[0])<JXG.Math.eps)){return Infinity}else{return g}},calcStraight:function(g,r,p,h){var e,d,n,l,q,f,o,v,m,k,u,t;if(h==null){h=10}q=g.visProp.straightfirst;f=g.visProp.straightlast;if(Math.abs(r.scrCoords[0])<JXG.Math.eps){q=true}if(Math.abs(p.scrCoords[0])<JXG.Math.eps){f=true}if(!q&&!f){return}o=[];o[0]=g.stdform[0]-g.stdform[1]*g.board.origin.scrCoords[1]/g.board.unitX+g.stdform[2]*g.board.origin.scrCoords[2]/g.board.unitY;o[1]=g.stdform[1]/g.board.unitX;o[2]=g.stdform[2]/(-g.board.unitY);if(isNaN(o[0]+o[1]+o[2])){return}v=[];v[0]=JXG.Math.crossProduct(o,[h,0,1]);v[1]=JXG.Math.crossProduct(o,[h,1,0]);v[2]=JXG.Math.crossProduct(o,[-h-g.board.canvasHeight,0,1]);v[3]=JXG.Math.crossProduct(o,[-h-g.board.canvasWidth,1,0]);for(m=0;m<4;m++){if(Math.abs(v[m][0])>JXG.Math.eps){for(k=2;k>0;k--){v[m][k]/=v[m][0]}v[m][0]=1}}e=false;d=false;if(!q&&Math.abs(r.usrCoords[0])>=JXG.Math.eps&&r.scrCoords[1]>=0&&r.scrCoords[1]<=g.board.canvasWidth&&r.scrCoords[2]>=0&&r.scrCoords[2]<=g.board.canvasHeight){e=true}if(!f&&Math.abs(p.usrCoords[0])>=JXG.Math.eps&&p.scrCoords[1]>=0&&p.scrCoords[1]<=g.board.canvasWidth&&p.scrCoords[2]>=0&&p.scrCoords[2]<=g.board.canvasHeight){d=true}if(Math.abs(v[1][0])<JXG.Math.eps){n=v[0];l=v[2]}else{if(Math.abs(v[0][0])<JXG.Math.eps){n=v[1];l=v[3]}else{if(v[1][2]<0){n=v[0];if(v[3][2]>g.board.canvasHeight){l=v[2]}else{l=v[3]}}else{if(v[1][2]>g.board.canvasHeight){n=v[2];if(v[3][2]<0){l=v[0]}else{l=v[3]}}else{n=v[1];if(v[3][2]<0){l=v[0]}else{if(v[3][2]>g.board.canvasHeight){l=v[2]}else{l=v[3]}}}}}}n=new JXG.Coords(JXG.COORDS_BY_SCREEN,n.slice(1),g.board);l=new JXG.Coords(JXG.COORDS_BY_SCREEN,l.slice(1),g.board);if(!e&&!d){if(!q&&f&&!this.isSameDirection(r,p,n)&&!this.isSameDirection(r,p,l)){return}else{if(q&&!f&&!this.isSameDirection(p,r,n)&&!this.isSameDirection(p,r,l)){return}}}if(!e){if(!d){if(this.isSameDir(r,p,n,l)){u=n;t=l}else{t=n;u=l}}else{if(this.isSameDir(r,p,n,l)){u=n}else{u=l}}}else{if(!d){if(this.isSameDir(r,p,n,l)){t=l}else{t=n}}}if(u){r.setCoordinates(JXG.COORDS_BY_USER,u.usrCoords.slice(1))}if(t){p.setCoordinates(JXG.COORDS_BY_USER,t.usrCoords.slice(1))}},isSameDir:function(j,i,f,e){var d=i.usrCoords[1]-j.usrCoords[1],k=i.usrCoords[2]-j.usrCoords[2],h=e.usrCoords[1]-f.usrCoords[1],g=e.usrCoords[2]-f.usrCoords[2];if(Math.abs(i.usrCoords[0])<JXG.Math.eps){d=i.usrCoords[1];k=i.usrCoords[2]}if(Math.abs(j.usrCoords[0])<JXG.Math.eps){d=-j.usrCoords[1];k=-j.usrCoords[2]}return d*h+k*g>=0},isSameDirection:function(k,h,f){var e,d,j,i,g=false;e=h.usrCoords[1]-k.usrCoords[1];d=h.usrCoords[2]-k.usrCoords[2];j=f.usrCoords[1]-k.usrCoords[1];i=f.usrCoords[2]-k.usrCoords[2];if(Math.abs(e)<JXG.Math.eps){e=0}if(Math.abs(d)<JXG.Math.eps){d=0}if(Math.abs(j)<JXG.Math.eps){j=0}if(Math.abs(i)<JXG.Math.eps){i=0}if(e>=0&&j>=0){if((d>=0&&i>=0)||(d<=0&&i<=0)){g=true}}else{if(e<=0&&j<=0){if((d>=0&&i>=0)||(d<=0&&i<=0)){g=true}}}return g},intersectLineLine:function(o,n,j){var i=o.point1.coords.usrCoords,g=o.point2.coords.usrCoords,f=n.point1.coords.usrCoords,d=n.point2.coords.usrCoords,h,e,m,l,k;if(!JXG.exists(j)){j=o.board}h=i[1]*g[2]-i[2]*g[1];e=f[1]*d[2]-f[2]*d[1];m=(g[2]-i[2])*(f[1]-d[1])-(i[1]-g[1])*(d[2]-f[2]);if(Math.abs(m)<JXG.Math.eps){m=JXG.Math.eps}l=(h*(f[1]-d[1])-e*(i[1]-g[1]))/m;k=(e*(g[2]-i[2])-h*(d[2]-f[2]))/m;return new JXG.Coords(JXG.COORDS_BY_USER,[l,k],j)},intersectCircleLine:function(k,u,m){var J=u.point1.coords.usrCoords,H=u.point2.coords.usrCoords,g=k.center.coords.usrCoords,B,e,I,G,z,E,C,n,A,v,j,i,D,q,o,f,t,p,F;if(!JXG.exists(m)){m=u.board}B=u.point1.Dist(u.point2);if(B>0){e=k.center.Dist(u.point1);I=k.center.Dist(u.point2);G=((e*e)+(B*B)-(I*I))/(2*B);z=(e*e)-(G*G);z=(z<0)?0:z;E=Math.sqrt(z);C=k.Radius();n=Math.sqrt((C*C)-E*E);A=H[1]-J[1];v=H[2]-J[2];j=g[1]+(E/B)*v;i=g[2]-(E/B)*A;e=(H[1]*v)-(H[2]*A);I=(j*A)+(i*v);D=(v*v)+(A*A);if(Math.abs(D)<JXG.Math.eps){D=JXG.Math.eps}q=((e*v)+(I*A))/D;o=((I*v)-(e*A))/D;f=n/B;t=new JXG.Coords(JXG.COORDS_BY_USER,[q+f*A,o+f*v],m);p=new JXG.Coords(JXG.COORDS_BY_USER,[q-f*A,o-f*v],m);F=k.center.coords.distance(JXG.COORDS_BY_USER,t);if((C<(F-1))||isNaN(F)){return[0]}else{return[2,t,p]}}return[0]},intersectCircleCircle:function(l,k,n){var e={},i=l.Radius(),g=k.Radius(),f=l.center.coords.usrCoords,d=k.center.coords.usrCoords,p,j,t,r,q,o,m;if(!JXG.exists(n)){n=l.board}p=i+g;j=Math.abs(i-g);t=l.center.coords.distance(JXG.COORDS_BY_USER,k.center.coords);if(t>p){return[0]}else{if(t<j){return[0]}else{if(t!=0){e[0]=1;r=d[1]-f[1];q=d[2]-f[2];o=(t*t-g*g+i*i)/(2*t);m=Math.sqrt(i*i-o*o);e[1]=new JXG.Coords(JXG.COORDS_BY_USER,[f[1]+(o/t)*r+(m/t)*q,f[2]+(o/t)*q-(m/t)*r],n);e[2]=new JXG.Coords(JXG.COORDS_BY_USER,[f[1]+(o/t)*r-(m/t)*q,f[2]+(o/t)*q+(m/t)*r],n)}else{return[0]}return e}}},meet:function(g,e,f,h){var d=JXG.Math.eps;if(Math.abs(g[3])<d&&Math.abs(e[3])<d){return this.meetLineLine(g,e,f,h)}else{if(Math.abs(g[3])>=d&&Math.abs(e[3])<d){return this.meetLineCircle(e,g,f,h)}else{if(Math.abs(g[3])<d&&Math.abs(e[3])>=d){return this.meetLineCircle(g,e,f,h)}else{return this.meetCircleCircle(g,e,f,h)}}}},meetLineLine:function(e,d,f,h){var g=JXG.Math.crossProduct(e,d);if(Math.abs(g[0])>JXG.Math.eps){g[1]/=g[0];g[2]/=g[0];g[0]=1}return new JXG.Coords(JXG.COORDS_BY_USER,g,h)},meetLineCircle:function(j,e,o,p){var u,s,r,q,l,h,g,f,m,v;if(e[4]<JXG.Math.eps){if(Math.abs(JXG.Math.innerProduct([1,e[6],e[7]],j,3))<JXG.Math.eps){return new JXG.Coords(JXG.COORDS_BY_USER,e.slice(6,8),p)}else{return new JXG.Coords(JXG.COORDS_BY_USER,[NaN,NaN],p)}}r=e[0];s=e.slice(1,3);u=e[3];q=j[0];l=j.slice(1,3);h=u;g=(s[0]*l[1]-s[1]*l[0]);f=u*q*q-(s[0]*l[0]+s[1]*l[1])*q+r;m=g*g-4*h*f;if(m>=0){m=Math.sqrt(m);v=[(-g+m)/(2*h),(-g-m)/(2*h)];return((o==0)?new JXG.Coords(JXG.COORDS_BY_USER,[-v[0]*(-l[1])-q*l[0],-v[0]*l[0]-q*l[1]],p):new JXG.Coords(JXG.COORDS_BY_USER,[-v[1]*(-l[1])-q*l[0],-v[1]*l[0]-q*l[1]],p))}else{return new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],p)}},meetCircleCircle:function(f,d,e,g){var h;if(f[4]<JXG.Math.eps){if(Math.abs(this.distance(f.slice(6,2),d.slice(6,8))-d[4])<JXG.Math.eps){return new JXG.Coords(JXG.COORDS_BY_USER,f.slice(6,8),g)}else{return new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],g)}}if(d[4]<JXG.Math.eps){if(Math.abs(this.distance(d.slice(6,2),f.slice(6,8))-f[4])<JXG.Math.eps){return new JXG.Coords(JXG.COORDS_BY_USER,d.slice(6,8),g)}else{return new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],g)}}h=[d[3]*f[0]-f[3]*d[0],d[3]*f[1]-f[3]*d[1],d[3]*f[2]-f[3]*d[2],0,1,Infinity,Infinity,Infinity];h=JXG.Math.normalize(h);return this.meetLineCircle(h,f,e,g)},meetCurveCurve:function(r,q,h,k,m){var l=0,o,n,B,z,v,u,g,t,s,p,A,w,j,i;if(!JXG.exists(m)){m=r.board}if(arguments.callee.t1memo){o=arguments.callee.t1memo;n=arguments.callee.t2memo}else{o=h;n=k}t=r.X(o)-q.X(n);s=r.Y(o)-q.Y(n);p=t*t+s*s;A=r.board.D(r.X,r);w=q.board.D(q.X,q);j=r.board.D(r.Y,r);i=q.board.D(q.Y,q);while(p>JXG.Math.eps&&l<10){B=A(o);z=-w(n);v=j(o);u=-i(n);g=B*u-z*v;o-=(u*t-z*s)/g;n-=(B*s-v*t)/g;t=r.X(o)-q.X(n);s=r.Y(o)-q.Y(n);p=t*t+s*s;l++}arguments.callee.t1memo=o;arguments.callee.t2memo=n;if(Math.abs(o)<Math.abs(n)){return(new JXG.Coords(JXG.COORDS_BY_USER,[r.X(o),r.Y(o)],m))}else{return(new JXG.Coords(JXG.COORDS_BY_USER,[q.X(n),q.Y(n)],m))}},meetCurveLine:function(r,q,e,j){var o,l,s,g,p,h,k,w,u,v,n,m,f,d;if(!JXG.exists(j)){j=r.board}for(s=0;s<=1;s++){if(arguments[s].elementClass==JXG.OBJECT_CLASS_CURVE){g=arguments[s]}else{if(arguments[s].elementClass==JXG.OBJECT_CLASS_LINE){p=arguments[s]}else{throw new Error("JSXGraph: Can't call meetCurveLine with parent class "+(arguments[s].elementClass)+".")}}}h=function(i){return p.stdform[0]+p.stdform[1]*g.X(i)+p.stdform[2]*g.Y(i)};if(arguments.callee.t1memo){n=arguments.callee.t1memo;o=JXG.Math.Numerics.root(h,n)}else{n=g.minX();m=g.maxX();o=JXG.Math.Numerics.root(h,[n,m])}arguments.callee.t1memo=o;f=g.X(o);d=g.Y(o);if(e==1){if(arguments.callee.t2memo){n=arguments.callee.t2memo;l=JXG.Math.Numerics.root(h,n)}if(!(Math.abs(l-o)>0.1&&Math.abs(f-g.X(l))>0.1&&Math.abs(d-g.Y(l))>0.1)){u=20;v=(g.maxX()-g.minX())/u;w=g.minX();for(s=0;s<u;s++){l=JXG.Math.Numerics.root(h,[w,w+v]);if(Math.abs(l-o)>0.1&&Math.abs(f-g.X(l))>0.1&&Math.abs(d-g.Y(l))>0.1){break}w+=v}}o=l;arguments.callee.t2memo=o}if(Math.abs(h(o))>JXG.Math.eps){k=0}else{k=1}return(new JXG.Coords(JXG.COORDS_BY_USER,[k,g.X(o),g.Y(o)],j))},projectPointToCircle:function(l,d,f){var i=l.coords.distance(JXG.COORDS_BY_USER,d.center.coords),e=l.coords.usrCoords,g=d.center.coords.usrCoords,k,j,h;if(!JXG.exists(f)){f=l.board}if(Math.abs(i)<JXG.Math.eps){i=JXG.Math.eps}h=d.Radius()/i;k=g[1]+h*(e[1]-g[1]);j=g[2]+h*(e[2]-g[2]);return new JXG.Coords(JXG.COORDS_BY_USER,[k,j],f)},projectPointToLine:function(d,e,g){var f=[0,e.stdform[1],e.stdform[2]];if(!JXG.exists(g)){g=d.board}f=JXG.Math.crossProduct(f,d.coords.usrCoords);return this.meetLineLine(f,e.stdform,0,g)},projectPointToCurve:function(f,i,h){if(!JXG.exists(h)){h=f.board}var e=f.X(),j=f.Y(),g=f.position||0,d=this.projectCoordsToCurve(e,j,g,i,h);f.position=d[1];return d[0]},projectCoordsToCurve:function(m,k,p,r,j){var E,w,B,f,A,e,C,s,h,q,n,u,D,o=Number.POSITIVE_INFINITY,l,H,F,g,G,z;if(!JXG.exists(j)){j=r.board}if(r.visProp.curvetype=="parameter"||r.visProp.curvetype=="polar"){l=function(v){var i=m-r.X(v),d=k-r.Y(v);return i*i+d*d};g=l(p);z=20;G=(r.maxX()-r.minX())/z;H=r.minX();for(w=0;w<z;w++){F=l(H);if(F<g){p=H;g=F}H+=G}p=JXG.Math.Numerics.root(JXG.Math.Numerics.D(l),p);if(p<r.minX()){p=r.maxX()+p-r.minX()}if(p>r.maxX()){p=r.minX()+p-r.maxX()}E=new JXG.Coords(JXG.COORDS_BY_USER,[r.X(p),r.Y(p)],j)}else{if(r.visProp.curvetype=="plot"){p=0;C=o;if(r.numberPoints==0){E=new JXG.Coords(JXG.COORDS_BY_USER,[0,1,1],j)}else{if(r.numberPoints==1){E=new JXG.Coords(JXG.COORDS_BY_USER,[r.Z(0),r.X(0),r.Y(0)],j)}else{for(w=0;w<r.numberPoints-1;w++){q=JXG.Math.crossProduct([r.Z(w+1),r.X(w+1),r.Y(w+1)],[r.Z(w),r.X(w),r.Y(w)]);n=[0,q[1],q[2]];n=JXG.Math.crossProduct(n,[1,m,k]);u=this.meetLineLine(n,q,0,j);A=r.X(w+1)-r.X(w);e=r.Y(w+1)-r.Y(w);if(Math.abs(A)>JXG.Math.eps){B=u.usrCoords[1]-r.X(w);h=B/A}else{if(Math.abs(e)>JXG.Math.eps){f=u.usrCoords[1]-r.Y(w);h=f/e}else{h=0;u=new JXG.Coords(JXG.COORDS_BY_USER,[r.Z(w),r.X(w),r.Y(w)],j)}}if(0<=h&&h<=1){s=this.distance(u.usrCoords,[1,m,k]);D=w+h}else{if(h<0){u=new JXG.Coords(JXG.COORDS_BY_USER,[r.Z(w),r.X(w),r.Y(w)],j);s=this.distance(u.usrCoords,[1,m,k]);D=w}else{if(h>1&&w+1==r.numberPoints-1){u=new JXG.Coords(JXG.COORDS_BY_USER,[r.Z(w+1),r.X(w+1),r.Y(w+1)],j);s=this.distance(u.usrCoords,[1,m,k]);D=r.numberPoints-1}}}if(s<C){C=s;p=D;E=u}}}}}else{p=m;m=p;k=r.Y(p);E=new JXG.Coords(JXG.COORDS_BY_USER,[m,k],j)}}return[r.updateTransform(E),p]},projectPointToTurtle:function(o,r,k){var q,s,n,m,f,p=0,j=0,g=Number.POSITIVE_INFINITY,l,d,e,h=r.objects.length;if(!JXG.exists(k)){k=o.board}for(f=0;f<h;f++){d=r.objects[f];if(d.elementClass==JXG.OBJECT_CLASS_CURVE){q=this.projectPointToCurve(o,d);l=this.distance(q.usrCoords,o.coords.usrCoords);if(l<g){n=q.usrCoords[1];m=q.usrCoords[2];s=o.position;g=l;e=d;j=p}p+=d.numberPoints}}q=new JXG.Coords(JXG.COORDS_BY_USER,[n,m],k);o.position=s+j;return e.updateTransform(q)},projectPointToPoint:function(d,e,f){return e.coords}});JXG.Math.Poly={};JXG.Math.Poly.Ring=function(d){this.vars=d};JXG.extend(JXG.Math.Poly.Ring.prototype,{});JXG.Math.Poly.Monomial=function(e,d,g){var f;if(!JXG.exists(e)){throw new Error("JSXGraph error: In JXG.Math.Poly.monomial missing parameter 'ring'.")}if(!JXG.isArray(g)){g=[]}g=g.slice(0,e.vars.length);for(f=g.length;f<e.vars.length;f++){g.push(0)}this.ring=e;this.coefficient=d||0;this.exponents=JXG.deepCopy(g)};JXG.extend(JXG.Math.Poly.Monomial.prototype,{copy:function(){return new JXG.Math.Poly.Monomial(this.ring,this.coefficient,this.exponents)},print:function(){var e=[],d;for(d=0;d<this.ring.vars.length;d++){e.push(this.ring.vars[d]+"^"+this.exponents[d])}return this.coefficient+"*"+e.join("*")}});JXG.Math.Poly.Polynomial=function(d,g){var f=function(){},e;if(!JXG.exists(d)){throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial missing parameter 'ring'.")}if(JXG.exists(g)&&typeof g==="string"){e=f(g)}else{e=[]}this.ring=d;this.monomials=e};JXG.extend(JXG.Math.Poly.Polynomial.prototype,{findSignature:function(e){var d;for(d=0;d<this.monomials.length;d++){if(JXG.cmpArrays(this.monomials[d].exponents,e)){return d}}return -1},addSubMonomial:function(d,f){var e;e=this.findSignature(d.exponents);if(e>-1){this.monomials[e].coefficient+=f*d.coefficient}else{d.coefficient*=f;this.monomials.push(d)}},add:function(e){var d;if(JXG.exists(e)&&e.ring===this.ring){if(JXG.isArray(e.exponents)){this.addSubMonomial(e,1)}else{for(d=0;d<e.monomials.length;d++){this.addSubMonomial(e.monomials[d],1)}}}else{throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.add either summand is undefined or rings don't match.")}},sub:function(e){var d;if(JXG.exists(e)&&e.ring===this.ring){if(JXG.isArray(e.exponents)){this.addSubMonomial(e,-1)}else{for(d=0;d<e.monomials.length;d++){this.addSubMonomial(e.monomials[d],-1)}}}else{throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.sub either summand is undefined or rings don't match.")}},copy:function(){var d,e;e=new JXG.Math.Poly.Polynomial(this.ring);for(d=0;d<this.monomials.length;d++){e.monomials.push(this.monomials[d].copy())}return e},print:function(){var e=[],d;for(d=0;d<this.monomials.length;d++){e.push("("+this.monomials[d].print()+")")}return e.join("+")}});JXG.Complex=function(d,e){this.isComplex=true;if(typeof d=="undefined"){d=0}if(typeof e=="undefined"){e=0}if(d.isComplex){e=d.imaginary;d=d.real}this.real=d;this.imaginary=e;this.absval=0;this.angle=0};JXG.extend(JXG.Complex.prototype,{toString:function(){return""+this.real+" + "+this.imaginary+"i"},add:function(d){if(typeof d=="number"){this.real+=d}else{this.real+=d.real;this.imaginary+=d.imaginary}},sub:function(d){if(typeof d=="number"){this.real-=d}else{this.real-=d.real;this.imaginary-=d.imaginary}},mult:function(f){var e,d;if(typeof f=="number"){this.real*=f;this.imaginary*=f}else{e=this.real;d=this.imaginary;this.real=e*f.real-d*f.imaginary;this.imaginary=e*f.imaginary+d*f.real}},div:function(g){var e,d,f;if(typeof g=="number"){if(Math.abs(g)<Math.eps){this.real=Infinity;this.imaginary=Infinity;return}this.real/=g;this.imaginary/=g}else{if((Math.abs(g.real)<Math.eps)&&(Math.abs(g.imaginary)<Math.eps)){this.real=Infinity;this.imaginary=Infinity;return}e=g.real*g.real+g.imaginary*g.imaginary;f=this.real;d=this.imaginary;this.real=(f*g.real+d*g.imaginary)/e;this.imaginary=(d*g.real-f*g.imaginary)/e}},conj:function(){this.imaginary*=-1}});JXG.C={};JXG.C.add=function(e,d){var f=new JXG.Complex(e);f.add(d);return f};JXG.C.sub=function(e,d){var f=new JXG.Complex(e);f.sub(d);return f};JXG.C.mult=function(e,d){var f=new JXG.Complex(e);f.mult(d);return f};JXG.C.div=function(e,d){var f=new JXG.Complex(e);f.div(d);return f};JXG.C.conj=function(d){var e=new JXG.Complex(d);e.conj();return e};JXG.C.abs=function(d){var e=new JXG.Complex(d);e.conj();e.mult(d);return Math.sqrt(e.real)};JXG.AbstractRenderer=function(){this.vOffsetText=0;this.enhancedRendering=true;this.container=null;this.type=""};JXG.extend(JXG.AbstractRenderer.prototype,{_updateVisual:function(e,g,f){var d;if(f||this.enhancedRendering){g=g||{};if(!e.visProp.draft){if(!g.stroke){this.setObjectStrokeWidth(e,e.visProp.strokewidth);this.setObjectStrokeColor(e,e.visProp.strokecolor,e.visProp.strokeopacity)}if(!g.fill){this.setObjectFillColor(e,e.visProp.fillcolor,e.visProp.fillopacity)}if(!g.dash){this.setDashStyle(e,e.visProp)}if(!g.shadow){this.setShadow(e)}if(!g.gradient){this.setShadow(e)}}else{this.setDraft(e)}}},drawPoint:function(e){var d,f=JXG.Point.prototype.normalizeFace.call(this,e.visProp.face);if(f==="o"){d="ellipse"}else{if(f==="[]"){d="rect"}else{d="path"}}this.appendChildPrim(this.createPrim(d,e.id),e.visProp.layer);this.appendNodesToElement(e,d);this._updateVisual(e,{dash:true,shadow:true},true);this.updatePoint(e)},updatePoint:function(e){var d=e.visProp.size,f=JXG.Point.prototype.normalizeFace.call(this,e.visProp.face);if(!isNaN(e.coords.scrCoords[2]+e.coords.scrCoords[1])){this._updateVisual(e,{dash:false,shadow:false});d*=((!e.board||!e.board.options.point.zoom)?1:Math.sqrt(e.board.zoomX*e.board.zoomY));if(f==="o"){this.updateEllipsePrim(e.rendNode,e.coords.scrCoords[1],e.coords.scrCoords[2],d+1,d+1)}else{if(f==="[]"){this.updateRectPrim(e.rendNode,e.coords.scrCoords[1]-d,e.coords.scrCoords[2]-d,d*2,d*2)}else{this.updatePathPrim(e.rendNode,this.updatePathStringPoint(e,d,f),e.board)}}this.setShadow(e)}},changePointStyle:function(d){var e=this.getElementById(d.id);if(JXG.exists(e)){this.remove(e)}this.drawPoint(d);JXG.clearVisPropOld(d);if(!d.visProp.visible){this.hide(d)}if(d.visProp.draft){this.setDraft(d)}},drawLine:function(d){this.appendChildPrim(this.createPrim("line",d.id),d.visProp.layer);this.appendNodesToElement(d,"lines");this.updateLine(d)},updateLine:function(e){var f=new JXG.Coords(JXG.COORDS_BY_USER,e.point1.coords.usrCoords,e.board),d=new JXG.Coords(JXG.COORDS_BY_USER,e.point2.coords.usrCoords,e.board),g=null;if(e.visProp.firstarrow||e.visProp.lastarrow){g=0}JXG.Math.Geometry.calcStraight(e,f,d,g);this.updateLinePrim(e.rendNode,f.scrCoords[1],f.scrCoords[2],d.scrCoords[1],d.scrCoords[2],e.board);this.makeArrows(e);this._updateVisual(e,{fill:true})},drawTicks:function(d){var e=this.createPrim("path",d.id);this.appendChildPrim(e,d.visProp.layer);this.appendNodesToElement(d,"path")},updateTicks:function(d,g,e,h,f){},drawCurve:function(d){this.appendChildPrim(this.createPrim("path",d.id),d.visProp.layer);this.appendNodesToElement(d,"path");this._updateVisual(d,{shadow:true},true);this.updateCurve(d)},updateCurve:function(d){this._updateVisual(d);if(d.visProp.handdrawing){this.updatePathPrim(d.rendNode,this.updatePathStringBezierPrim(d),d.board)}else{this.updatePathPrim(d.rendNode,this.updatePathStringPrim(d),d.board)}this.makeArrows(d)},drawEllipse:function(d){this.appendChildPrim(this.createPrim("ellipse",d.id),d.visProp.layer);this.appendNodesToElement(d,"ellipse");this.updateEllipse(d)},updateEllipse:function(e){this._updateVisual(e);var d=e.Radius();if(d>0&&Math.abs(e.center.coords.usrCoords[0])>JXG.Math.eps&&!isNaN(d+e.center.coords.scrCoords[1]+e.center.coords.scrCoords[2])&&d*e.board.unitX<2000000){this.updateEllipsePrim(e.rendNode,e.center.coords.scrCoords[1],e.center.coords.scrCoords[2],(d*e.board.unitX),(d*e.board.unitY))}},drawPolygon:function(d){this.appendChildPrim(this.createPrim("polygon",d.id),d.visProp.layer);this.appendNodesToElement(d,"polygon");this.updatePolygon(d)},updatePolygon:function(d){this._updateVisual(d,{stroke:true,dash:true});this.updatePolygonPrim(d.rendNode,d)},displayCopyright:function(d,e){},drawInternalText:function(d){},updateInternalText:function(d){},drawText:function(d){var e,f;if(d.visProp.display==="html"){e=this.container.ownerDocument.createElement("div");e.style.position="absolute";e.className=d.visProp.cssclass;if(this.container.style.zIndex==""){f=0}else{f=parseInt(this.container.style.zIndex)}e.style.zIndex=f+d.board.options.layer.text;this.container.appendChild(e);e.setAttribute("id",this.container.id+"_"+d.id)}else{e=this.drawInternalText(d)}d.rendNode=e;d.htmlStr="";this.updateText(d)},updateText:function(d){var e=d.plaintext;if(d.visProp.visible){this.updateTextStyle(d,false);if(d.visProp.display==="html"){if(!isNaN(d.coords.scrCoords[1]+d.coords.scrCoords[2])){if(d.visProp.anchorx==="right"){d.rendNode.style.right=parseInt(d.board.canvasWidth-d.coords.scrCoords[1])+"px"}else{if(d.visProp.anchorx==="middle"){d.rendNode.style.left=parseInt(d.coords.scrCoords[1]-0.5*d.size[0])+"px"}else{d.rendNode.style.left=parseInt(d.coords.scrCoords[1])+"px"}}if(d.visProp.anchory==="top"){d.rendNode.style.top=parseInt(d.coords.scrCoords[2]+this.vOffsetText)+"px"}else{if(d.visProp.anchory==="middle"){d.rendNode.style.top=parseInt(d.coords.scrCoords[2]-0.5*d.size[1]+this.vOffsetText)+"px"}else{d.rendNode.style.top=parseInt(d.coords.scrCoords[2]-d.size[1]+this.vOffsetText)+"px"}}}if(d.htmlStr!==e){d.rendNode.innerHTML=e;d.htmlStr=e;if(d.visProp.usemathjax){MathJax.Hub.Queue(["Typeset",MathJax.Hub,d.rendNode])}else{if(d.visProp.useasciimathml){AMprocessNode(d.rendNode,false)}}}this.transformImage(d,d.transformations)}else{this.updateInternalText(d)}}},updateTextStyle:function(g,i){var d,k,l,f,h=g.visProp;if(i){l=h.highlightstrokecolor;k=h.highlightstrokeopacity;f=h.highlightcssclass}else{l=h.strokecolor;k=h.strokeopacity;f=h.cssclass}if(g.visProp.display==="html"||this.type!="canvas"){d=JXG.evaluate(g.visProp.fontsize);if(g.visPropOld.fontsize!=d){try{g.rendNode.style.fontSize=d+"px"}catch(j){g.rendNode.style.fontSize=d}g.visPropOld.fontsize=d}if(g.visPropOld.cssclass!=f){g.rendNode.className=f;g.visPropOld.cssclass=f}}if(g.visProp.display==="html"){this.setObjectStrokeColor(g,l,k)}else{this.updateInternalTextStyle(g,l,k)}return this},updateInternalTextStyle:function(e,f,d){this.setObjectStrokeColor(e,f,d)},drawImage:function(d){},updateImage:function(d){this.updateRectPrim(d.rendNode,d.coords.scrCoords[1],d.coords.scrCoords[2]-d.size[1],d.size[0],d.size[1]);this.updateImageURL(d);this.transformImage(d,d.transformations);this._updateVisual(d,{stroke:true,dash:true},true)},joinTransforms:function(n,o){var k=[[1,0,0],[0,1,0],[0,0,1]],g=n.board.origin.scrCoords[1],f=n.board.origin.scrCoords[2],e=n.board.unitX,d=n.board.unitY,r=[[1,0,0],[-g,1,0],[-f,0,1]],q=[[1,0,0],[0,1/e,0],[0,0,-1/d]],h=[[1,0,0],[0,e,0],[0,0,-d]],j=[[1,0,0],[g,1,0],[f,0,1]],l,p=o.length;for(l=0;l<p;l++){k=JXG.Math.matMatMult(r,k);k=JXG.Math.matMatMult(q,k);k=JXG.Math.matMatMult(o[l].matrix,k);k=JXG.Math.matMatMult(h,k);k=JXG.Math.matMatMult(j,k)}return k},transformImage:function(e,d){},updateImageURL:function(d){},appendChildPrim:function(d,e){},appendNodesToElement:function(d,e){},createPrim:function(d,e){return null},remove:function(d){},makeArrows:function(d){},updateEllipsePrim:function(e,d,h,g,f){},updateLinePrim:function(i,e,d,g,f,h){},updatePathPrim:function(f,d,e){},updatePathStringPoint:function(e,d,f){},updatePathStringPrim:function(d){},updatePathStringBezierPrim:function(d){},updatePolygonPrim:function(e,d){},updateRectPrim:function(g,d,i,e,f){},setPropertyPrim:function(e,d,f){},show:function(d){},hide:function(d){},setBuffering:function(e,d){},setDashStyle:function(d){},setDraft:function(d){if(!d.visProp.draft){return}var e=d.board.options.elements.draft.color,f=d.board.options.elements.draft.opacity;if(d.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(d,e,f)}else{if(d.elementClass===JXG.OBJECT_CLASS_POINT){this.setObjectFillColor(d,e,f)}else{this.setObjectFillColor(d,"none",0)}this.setObjectStrokeColor(d,e,f);this.setObjectStrokeWidth(d,d.board.options.elements.draft.strokeWidth)}},removeDraft:function(d){if(d.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(d,d.visProp.fillcolor,d.visProp.fillopacity)}else{if(d.type===JXG.OBJECT_CLASS_POINT){this.setObjectFillColor(d,d.visProp.fillcolor,d.visProp.fillopacity)}this.setObjectStrokeColor(d,d.visProp.strokecolor,d.visProp.strokeopacity);this.setObjectStrokeWidth(d,d.visProp.strokewidth)}},setGradient:function(d){},updateGradient:function(d){},setObjectFillColor:function(f,d,e){},setObjectStrokeColor:function(f,d,e){},setObjectStrokeWidth:function(d,e){},setShadow:function(d){},highlight:function(e){var d,f=e.visProp;if(!f.draft){if(e.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(e,f.highlightfillcolor,f.highlightfillopacity);for(d=0;d<e.borders.length;d++){this.setObjectStrokeColor(e.borders[d],e.borders[d].visProp.highlightstrokecolor,e.borders[d].visProp.highlightstrokeopacity)}}else{if(e.type===JXG.OBJECT_TYPE_TEXT){this.updateTextStyle(e,true)}else{this.setObjectStrokeColor(e,f.highlightstrokecolor,f.highlightstrokeopacity);this.setObjectFillColor(e,f.highlightfillcolor,f.highlightfillopacity)}}if(f.highlightstrokewidth){this.setObjectStrokeWidth(e,Math.max(f.highlightstrokewidth,f.strokewidth))}}return this},noHighlight:function(e){var d,f=e.visProp;if(!e.visProp.draft){if(e.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(e,f.fillcolor,f.fillopacity);for(d=0;d<e.borders.length;d++){this.setObjectStrokeColor(e.borders[d],e.borders[d].visProp.strokecolor,e.borders[d].visProp.strokeopacity)}}else{if(e.type===JXG.OBJECT_TYPE_TEXT){this.updateTextStyle(e,false)}else{this.setObjectStrokeColor(e,f.strokecolor,f.strokeopacity);this.setObjectFillColor(e,f.fillcolor,f.fillopacity)}}this.setObjectStrokeWidth(e,f.strokewidth)}return this},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(e){var g,f,d=function(h,j){var i;i=g.createElement("span");f.appendChild(i);i.appendChild(document.createTextNode(h));JXG.addEvent(i,"click",j,e)};g=e.containerObj.ownerDocument;f=g.createElement("div");f.setAttribute("id",e.containerObj.id+"_navigationbar");f.style.color=e.options.navbar.strokeColor;f.style.backgroundColor=e.options.navbar.fillColor;f.style.padding=e.options.navbar.padding;f.style.position=e.options.navbar.position;f.style.fontSize=e.options.navbar.fontSize;f.style.cursor=e.options.navbar.cursor;f.style.zIndex=e.options.navbar.zIndex;e.containerObj.appendChild(f);f.style.right=e.options.navbar.right;f.style.bottom=e.options.navbar.bottom;d("\u00A0\u2013\u00A0",e.zoomOut);d("\u00A0o\u00A0",e.zoom100);d("\u00A0+\u00A0",e.zoomIn);d("\u00A0\u2190\u00A0",e.clickLeftArrow);d("\u00A0\u2193\u00A0",e.clickUpArrow);d("\u00A0\u2191\u00A0",e.clickDownArrow);d("\u00A0\u2192\u00A0",e.clickRightArrow)},getElementById:function(d){return document.getElementById(this.container.id+"_"+d)},resize:function(d,e){}});JXG.NoRenderer=function(){this.enhancedRendering=false;this.type="no"};JXG.extend(JXG.NoRenderer.prototype,{drawPoint:function(d){},updatePoint:function(d){},changePointStyle:function(d){},drawLine:function(d){},updateLine:function(d){},drawTicks:function(d){},updateTicks:function(d,g,e,h,f){},drawCurve:function(d){},updateCurve:function(d){},drawEllipse:function(d){},updateEllipse:function(d){},drawPolygon:function(d){},updatePolygon:function(d){},displayCopyright:function(d,e){},drawInternalText:function(d){},updateInternalText:function(d){},drawText:function(d){},updateText:function(d){},updateTextStyle:function(d,e){},updateInternalTextStyle:function(e,f,d){},drawImage:function(d){},updateImage:function(d){},transformImage:function(e,d){},updateImageURL:function(d){},appendChildPrim:function(d,e){},appendNodesToElement:function(d,e){},createPrim:function(d,e){return null},remove:function(d){},makeArrows:function(d){},updateEllipsePrim:function(e,d,h,g,f){},updateLinePrim:function(i,e,d,g,f,h){},updatePathPrim:function(f,d,e){},updatePathStringPoint:function(e,d,f){},updatePathStringPrim:function(d){},updatePathStringBezierPrim:function(d){},updatePolygonPrim:function(e,d){},updateRectPrim:function(g,d,i,e,f){},setPropertyPrim:function(e,d,f){},show:function(d){},hide:function(d){},setBuffering:function(e,d){},setDashStyle:function(d){},setDraft:function(d){},removeDraft:function(d){},setGradient:function(d){},updateGradient:function(d){},setObjectFillColor:function(f,d,e){},setObjectStrokeColor:function(f,d,e){},setObjectStrokeWidth:function(d,e){},setShadow:function(d){},highlight:function(d){},noHighlight:function(d){},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(d){},getElementById:function(d){return null},resize:function(d,e){}});JXG.FileReader={parseFileContent:function(d,g,j,f){var h=false;if(!JXG.exists(f)){f=true}try{h=new XMLHttpRequest();if(j.toLowerCase()=="raw"){h.overrideMimeType("text/plain; charset=iso-8859-1")}else{h.overrideMimeType("text/xml; charset=iso-8859-1")}}catch(i){try{h=new ActiveXObject("Msxml2.XMLHTTP")}catch(i){try{h=new ActiveXObject("Microsoft.XMLHTTP")}catch(i){h=false}}}if(!h){alert("AJAX not activated!");return}h.open("GET",d,f);if(j.toLowerCase()==="raw"){this.cbp=function(){var e=h;if(e.readyState==4){g(e.responseText)}}}else{this.cbp=function(){var e=h;if(e.readyState==4){var k="";if(typeof e.responseStream!="undefined"&&(e.responseText.slice(0,2)=="PK"||JXG.Util.asciiCharCodeAt(e.responseText.slice(0,1),0)==31)){k=JXG.Util.Base64.decode(BinFileReader(e))}else{k=e.responseText}this.parseString(k,g,j,false)}}}this.cb=JXG.bind(this.cbp,this);h.onreadystatechange=this.cb;try{h.send(null)}catch(i){throw new Error("JSXGraph: A problem occurred while trying to read '"+d+"'.")}},cleanWhitespace:function(d){var e=d.firstChild;while(e!=null){if(e.nodeType==3&&!/\S/.test(e.nodeValue)){d.removeChild(e)}else{if(e.nodeType==1){this.cleanWhitespace(e)}}e=e.nextSibling}},stringToXMLTree:function(e){if(typeof DOMParser==="undefined"){DOMParser=function(){};DOMParser.prototype.parseFromString=function(h,i){if(typeof ActiveXObject!=="undefined"){var g=new ActiveXObject("MSXML.DomDocument");g.loadXML(h);return g}}}var f=new DOMParser(),d=f.parseFromString(e,"text/xml");this.cleanWhitespace(d);return d},parseString:function(j,g,i,e){var d,h,f;i=i.toLowerCase();switch(i){case"cdy":case"cinderella":if(e){j=JXG.Util.Base64.decode(j)}j=JXG.CinderellaReader.readCinderella(j,g);g.xmlString=j;break;case"tracenpoche":g.xmlString=JXG.TracenpocheReader.readTracenpoche(j,g);break;case"graph":j=JXG.GraphReader.readGraph(j,g,false);break;case"digraph":j=JXG.GraphReader.readGraph(j,updateboard,true);break;case"geonext":j=JXG.GeonextReader.prepareString(j);f=true;break;case"geogebra":e=j.slice(0,2)!=="PK";j=JXG.GeogebraReader.prepareString(j,e);f=true;break;case"intergeo":if(e){j=JXG.Util.Base64.decode(j)}j=JXG.IntergeoReader.prepareString(j);f=true;break}if(f){g.xmlString=j;d=this.stringToXMLTree(j);this.readElements(d,g,i)}},readElements:function(d,e,f){if(f.toLowerCase()=="geonext"){e.suspendUpdate();if(d.getElementsByTagName("GEONEXT").length!=0){JXG.GeonextReader.readGeonext(d,e)}e.unsuspendUpdate()}else{if(d.getElementsByTagName("geogebra").length!=0){JXG.GeogebraReader.readGeogebra(d,e)}else{if(f.toLowerCase()=="intergeo"){JXG.IntergeoReader.readIntergeo(d,e)}}}}};if(/msie/i.test(navigator.userAgent)&&!/opera/i.test(navigator.userAgent&&document&&document.write)){document.write('<script type="text/vbscript">\nFunction Base64Encode(inData)\n  Const Base64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"\n  Dim cOut, sOut, I\n  For I = 1 To LenB(inData) Step 3\n    Dim nGroup, pOut, sGroup\n    nGroup = &H10000 * AscB(MidB(inData, I, 1)) + _\n      &H100 * MyASC(MidB(inData, I + 1, 1)) + MyASC(MidB(inData, I + 2, 1))\n    nGroup = Oct(nGroup)\n    nGroup = String(8 - Len(nGroup), "0") & nGroup\n    pOut = Mid(Base64, CLng("&o" & Mid(nGroup, 1, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 3, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 5, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 7, 2)) + 1, 1)\n    sOut = sOut + pOut\n  Next\n  Select Case LenB(inData) Mod 3\n    Case 1: \'8 bit final\n      sOut = Left(sOut, Len(sOut) - 2) + "=="\n    Case 2: \'16 bit final\n      sOut = Left(sOut, Len(sOut) - 1) + "="\n  End Select\n  Base64Encode = sOut\nEnd Function\n\nFunction MyASC(OneChar)\n  If OneChar = "" Then MyASC = 0 Else MyASC = AscB(OneChar)\nEnd Function\n\nFunction BinFileReader(xhr)\n    Dim byteString\n    Dim b64String\n    Dim i\n    byteString = xhr.responseBody\n    ReDim byteArray(LenB(byteString))\n    For i = 1 To LenB(byteString)\n        byteArray(i-1) = AscB(MidB(byteString, i, 1))\n    Next\n    b64String = Base64Encode(byteString)\n    BinFileReader = b64String\nEnd Function\n<\/script>\n')}JXG.GeonextParser={};JXG.GeonextParser.replacePow=function(f){var k,n,l,j,m,g,d,e,h,q,o;f=f.replace(/(\s*)\^(\s*)/g,"^");h=f.indexOf("^");while(h>=0){e=f.slice(0,h);q=f.slice(h+1);if(e.charAt(e.length-1)==")"){k=1;n=e.length-2;while(n>=0&&k>0){l=e.charAt(n);if(l==")"){k++}else{if(l=="("){k--}}n--}if(k==0){j="";g=e.substring(0,n+1);d=n;while(d>=0&&g.substr(d,1).match(/([\w\.]+)/)){j=RegExp.$1+j;d--}j+=e.substring(n+1,e.length);j=j.replace(/([\(\)\+\*\%\^\-\/\]\[])/g,"\\$1")}else{throw new Error("JSXGraph: Missing '(' in expression")}}else{j="[\\w\\.]+"}if(q.match(/^([\w\.]*\()/)){k=1;n=RegExp.$1.length;while(n<q.length&&k>0){l=q.charAt(n);if(l==")"){k--}else{if(l=="("){k++}}n++}if(k==0){m=q.substring(0,n);m=m.replace(/([\(\)\+\*\%\^\-\/\[\]])/g,"\\$1")}else{throw new Error("JSXGraph: Missing ')' in expression")}}else{m="[\\w\\.]+"}o=new RegExp("("+j+")\\^("+m+")");f=f.replace(o,"JXG.Math.pow($1,$2)");h=f.indexOf("^")}return f};JXG.GeonextParser.replaceIf=function(e){var r="",f,q,h=null,d=null,l=null,g,p,j,m,k,n,o;g=e.indexOf("If(");if(g<0){return e}e=e.replace(/""/g,"0");while(g>=0){f=e.slice(0,g);q=e.slice(g+3);j=1;p=0;m=-1;k=-1;while(p<q.length&&j>0){n=q.charAt(p);if(n==")"){j--}else{if(n=="("){j++}else{if(n==","&&j==1){if(m<0){m=p}else{k=p}}}}p++}o=q.slice(0,p-1);q=q.slice(p);if(m<0){return""}if(k<0){return""}h=o.slice(0,m);d=o.slice(m+1,k);l=o.slice(k+1);h=this.replaceIf(h);d=this.replaceIf(d);l=this.replaceIf(l);r+=f+"(("+h+")?("+d+"):("+l+"))";e=q;h=null;d=null;g=e.indexOf("If(")}r+=q;return r};JXG.GeonextParser.replaceSub=function(f){if(f.indexOf){}else{return f}var e=f.indexOf("_{"),d;while(e>=0){f=f.substr(0,e)+f.substr(e).replace(/_\{/,"<sub>");d=f.substr(e).indexOf("}");if(d>=0){f=f.substr(0,d)+f.substr(d).replace(/\}/,"</sub>")}e=f.indexOf("_{")}e=f.indexOf("_");while(e>=0){f=f.substr(0,e)+f.substr(e).replace(/_(.?)/,"<sub>$1</sub>");e=f.indexOf("_")}return f};JXG.GeonextParser.replaceSup=function(f){if(f.indexOf){}else{return f}var e=f.indexOf("^{"),d;while(e>=0){f=f.substr(0,e)+f.substr(e).replace(/\^\{/,"<sup>");d=f.substr(e).indexOf("}");if(d>=0){f=f.substr(0,d)+f.substr(d).replace(/\}/,"</sup>")}e=f.indexOf("^{")}e=f.indexOf("^");while(e>=0){f=f.substr(0,e)+f.substr(e).replace(/\^(.?)/,"<sup>$1</sup>");e=f.indexOf("^")}return f};JXG.GeonextParser.replaceNameById=function(g,j){var l=0,d,k,h,f,e=["X","Y","L","V"];for(f=0;f<e.length;f++){l=g.indexOf(e[f]+"(");while(l>=0){if(l>=0){d=g.indexOf(")",l+2);if(d>=0){k=g.slice(l+2,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+2)+h.id+g.slice(d)}}d=g.indexOf(")",l+2);l=g.indexOf(e[f]+"(",d)}}l=g.indexOf("Dist(");while(l>=0){if(l>=0){d=g.indexOf(",",l+5);if(d>=0){k=g.slice(l+5,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+5)+h.id+g.slice(d)}}d=g.indexOf(",",l+5);l=g.indexOf(",",d);d=g.indexOf(")",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+h.id+g.slice(d)}d=g.indexOf(")",l+1);l=g.indexOf("Dist(",d)}e=["Deg","Rad"];for(f=0;f<e.length;f++){l=g.indexOf(e[f]+"(");while(l>=0){if(l>=0){d=g.indexOf(",",l+4);if(d>=0){k=g.slice(l+4,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+4)+h.id+g.slice(d)}}d=g.indexOf(",",l+4);l=g.indexOf(",",d);d=g.indexOf(",",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+h.id+g.slice(d)}d=g.indexOf(",",l+1);l=g.indexOf(",",d);d=g.indexOf(")",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+h.id+g.slice(d)}d=g.indexOf(")",l+1);l=g.indexOf(e[f]+"(",d)}}return g};JXG.GeonextParser.replaceIdByObj=function(d){var e=/(X|Y|L)\(([\w_]+)\)/g;d=d.replace(e,'this.board.objects["$2"].$1()');e=/(V)\(([\w_]+)\)/g;d=d.replace(e,'this.board.objects["$2"].Value()');e=/(Dist)\(([\w_]+),([\w_]+)\)/g;d=d.replace(e,'this.board.objects["$2"].Dist(this.board.objects["$3"])');e=/(Deg)\(([\w_]+),([ \w\[\w_]+),([\w_]+)\)/g;d=d.replace(e,'JXG.Math.Geometry.trueAngle(this.board.objects["$2"],this.board.objects["$3"],this.board.objects["$4"])');e=/Rad\(([\w_]+),([\w_]+),([\w_]+)\)/g;d=d.replace(e,'JXG.Math.Geometry.rad(this.board.objects["$1"],this.board.objects["$2"],this.board.objects["$3"])');e=/N\((.+)\)/g;d=d.replace(e,"($1)");return d};JXG.GeonextParser.geonext2JS=function(e,g){var h,f,d,k=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Factorial","Floor","Log","Max","Min","Random","Round","Sin","Sqrt","Tan","Trunc"],j=["Math.abs","Math.acos","Math.asin","Math.atan","Math.ceil","Math.cos","Math.exp","JXG.Math.factorial","Math.floor","Math.log","Math.max","Math.min","Math.random","this.board.round","Math.sin","Math.sqrt","Math.tan","Math.ceil"];e=e.replace(/&lt;/g,"<");e=e.replace(/&gt;/g,">");e=e.replace(/&amp;/g,"&");f=e;f=this.replaceNameById(f,g);f=this.replaceIf(f);f=this.replacePow(f);f=this.replaceIdByObj(f);for(d=0;d<k.length;d++){h=new RegExp(["(\\W|^)(",k[d],")"].join(""),"ig");f=f.replace(h,["$1",j[d]].join(""))}f=f.replace(/True/g,"true");f=f.replace(/False/g,"false");f=f.replace(/fasle/g,"false");f=f.replace(/Pi/g,"Math.PI");return f};JXG.GeonextParser.findDependencies=function(h,e,g){if(typeof g=="undefined"){g=h.board}var i=g.elementsByName,f,j,d;for(f in i){if(f!=h.name){if(i[f].type==JXG.OBJECT_TYPE_TEXT){if(!i[f].visProp.islabel){d=f.replace(/\[/g,"\\[");d=d.replace(/\]/g,"\\]");j=new RegExp("\\(([\\w\\[\\]'_ ]+,)*("+d+")(,[\\w\\[\\]'_ ]+)*\\)","g");if(e.search(j)>=0){i[f].addChild(h)}}}else{d=f.replace(/\[/g,"\\[");d=d.replace(/\]/g,"\\]");j=new RegExp("\\(([\\w\\[\\]'_ ]+,)*("+d+")(,[\\w\\[\\]'_ ]+)*\\)","g");if(e.search(j)>=0){i[f].addChild(h)}}}}};JXG.GeonextParser.gxt2jc=function(d,f){var e,h=["Sqrt"],g=["sqrt"];d=d.replace(/&lt;/g,"<");d=d.replace(/&gt;/g,">");d=d.replace(/&amp;/g,"&");e=d;e=this.replaceNameById2(e,f);e=e.replace(/True/g,"true");e=e.replace(/False/g,"false");e=e.replace(/fasle/g,"false");return e};JXG.GeonextParser.replaceNameById2=function(g,j){var l=0,d,k,h,f,e=["X","Y","L","V"];for(f=0;f<e.length;f++){l=g.indexOf(e[f]+"(");while(l>=0){if(l>=0){d=g.indexOf(")",l+2);if(d>=0){k=g.slice(l+2,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+2)+"$('"+h.id+"')"+g.slice(d)}}d=g.indexOf(")",l+2);l=g.indexOf(e[f]+"(",d)}}l=g.indexOf("Dist(");while(l>=0){if(l>=0){d=g.indexOf(",",l+5);if(d>=0){k=g.slice(l+5,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+5)+"$('"+h.id+"')"+g.slice(d)}}d=g.indexOf(",",l+5);l=g.indexOf(",",d);d=g.indexOf(")",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+"$('"+h.id+"')"+g.slice(d)}d=g.indexOf(")",l+1);l=g.indexOf("Dist(",d)}e=["Deg","Rad"];for(f=0;f<e.length;f++){l=g.indexOf(e[f]+"(");while(l>=0){if(l>=0){d=g.indexOf(",",l+4);if(d>=0){k=g.slice(l+4,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+4)+"$('"+h.id+"')"+g.slice(d)}}d=g.indexOf(",",l+4);l=g.indexOf(",",d);d=g.indexOf(",",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+"$('"+h.id+"')"+g.slice(d)}d=g.indexOf(",",l+1);l=g.indexOf(",",d);d=g.indexOf(")",l+1);if(d>=0){k=g.slice(l+1,d);k=k.replace(/\\(['"])?/g,"$1");h=j.elementsByName[k];g=g.slice(0,l+1)+"$('"+h.id+"')"+g.slice(d)}d=g.indexOf(")",l+1);l=g.indexOf(e[f]+"(",d)}}return g};JXG.Board=function(d,i,e,n,m,l,k,j,f,g,h){this.BOARD_MODE_NONE=0;this.BOARD_MODE_DRAG=1;this.BOARD_MODE_MOVE_ORIGIN=2;this.BOARD_QUALITY_LOW=1;this.BOARD_QUALITY_HIGH=2;this.BOARD_MODE_ZOOM=17;this.BOARD_MODE_CONSTRUCT=16;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=d;this.containerObj=typeof document!="undefined"?document.getElementById(this.container):null;if(typeof document!="undefined"&&this.containerObj==null){throw new Error("\nJSXGraph: HTML container element '"+(d)+"' not found.")}this.renderer=i;this.grids=[];this.options=JXG.deepCopy(JXG.Options);this.dimension=2;this.jc=new JXG.JessieCode();this.jc.use(this);this.origin={};this.origin.usrCoords=[1,0,0];this.origin.scrCoords=[1,n[0],n[1]];this.zoomX=m;this.zoomY=l;this.unitX=k*this.zoomX;this.unitY=j*this.zoomY;this.canvasWidth=f;this.canvasHeight=g;if(JXG.exists(e)&&e!==""&&typeof document!="undefined"&&!JXG.exists(document.getElementById(e))){this.id=e}else{this.id=this.generateId()}this.eventHandlers={};this.hooks=[];this.dependentBoards=[];this.inUpdate=false;this.objects={};this.objectsList=[];this.groups={};this.animationObjects={};this.highlightedObjects={};this.numObjects=0;this.elementsByName={};this.mode=this.BOARD_MODE_NONE;this.updateQuality=this.BOARD_QUALITY_HIGH;this.isSuspendedRedraw=false;this.calculateSnapSizes();this.drag_dx=0;this.drag_dy=0;this.mouse=null;this.touches=[];this.xmlString="";this.cPos=[];this.touchMoveLast=0;this.downObjects=[];this.showCopyright=false;if((h!=null&&h)||(h==null&&this.options.showCopyright)){this.showCopyright=true;this.renderer.displayCopyright(JXG.JSXGraph.licenseText,this.options.text.fontSize)}this.needsFullUpdate=false;this.reducedUpdate=false;this.currentCBDef="none";this.geonextCompatibilityMode=false;if(this.options.text.useASCIIMathML&&translateASCIIMath){init()}else{this.options.text.useASCIIMathML=false}this.hasMouseHandlers=false;this.hasTouchHandlers=false;this.hasMouseUp=false;this.hasTouchEnd=false;this.addEventHandlers();this.methodMap={update:"update",on:"on",off:"off",setView:"setBoundingBox",setBoundingBox:"setBoundingBox",migratePoint:"migratePoint",colorblind:"emulateColorblindness"}};JXG.extend(JXG.Board.prototype,{generateName:function(f){if(f.type==JXG.OBJECT_TYPE_TICKS){return""}var l,h=2,e="",m="",n=[],d="",k,g;if(f.elementClass==JXG.OBJECT_CLASS_POINT){l=["","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{if(f.type==JXG.OBJECT_TYPE_ANGLE){if(false){l=["","α","β","γ","δ","ε","ζ","η","θ","ι","κ","λ","μ","ν","ξ","ο","π","ρ","σ","τ","υ","φ","χ","ψ","ω"]}else{l=["","&alpha;","&beta;","&gamma;","&delta;","&epsilon;","&zeta;","&eta;","&theta;","&iota;","&kappa;","&lambda;","&mu;","&nu;","&xi;","&omicron;","&pi;","&rho;","&sigma;","&tau;","&upsilon;","&phi;","&chi;","&psi;","&omega;"]}}else{l=["","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"]}}if(f.elementClass!==JXG.OBJECT_CLASS_POINT&&f.elementClass!=JXG.OBJECT_CLASS_LINE&&f.type!=JXG.OBJECT_TYPE_ANGLE){if(f.type===JXG.OBJECT_TYPE_POLYGON){e="P_{"}else{if(f.elementClass===JXG.OBJECT_CLASS_CIRCLE){e="k_{"}else{if(f.type===JXG.OBJECT_TYPE_TEXT){e="t_{"}else{e="s_{"}}}m="}"}for(k=0;k<h;k++){n[k]=0}while(n[h-1]<l.length){for(n[0]=1;n[0]<l.length;n[0]++){d=e;for(k=h;k>0;k--){d+=l[n[k-1]]}if(this.elementsByName[d+m]==null){return d+m}}n[0]=l.length;for(k=1;k<h;k++){if(n[k-1]==l.length){n[k-1]=1;n[k]++}}}return""},generateId:function(){var d=1;while(JXG.JSXGraph.boards["jxgBoard"+d]!=null){d=Math.round(Math.random()*65535)}return("jxgBoard"+d)},setId:function(g,f){var e=this.numObjects++,d=g.id;if(d==""||!JXG.exists(d)){d=this.id+f+e}g.id=d;this.objects[d]=g;g._pos=this.objectsList.length;this.objectsList[this.objectsList.length]=g;return d},finalizeAdding:function(d){if(!d.visProp.visible){this.renderer.hide(d)}},finalizeLabel:function(d){if(d.hasLabel&&!d.label.content.visProp.islabel&&!d.label.content.visProp.visible){this.renderer.hide(d.label.content)}},getCoordsTopLeftCorner:function(){var g=this.containerObj,e=JXG.getOffset(g),f=document.documentElement.ownerDocument,d=function(h){var i=parseInt(JXG.getStyle(g,h));return isNaN(i)?0:i};if(this.cPos.length>0&&(this.mode===JXG.BOARD_MODE_DRAG||this.mode===JXG.BOARD_MODE_MOVE_ORIGIN)){return this.cPos}if(!g.currentStyle&&f.defaultView){g=document.documentElement;e[0]+=d("margin-left");e[1]+=d("margin-top");e[0]+=d("border-left-width");e[1]+=d("border-top-width");e[0]+=d("padding-left");e[1]+=d("padding-top");g=this.containerObj}e[0]+=d("border-left-width");e[1]+=d("border-top-width");if(this.renderer.type!=="vml"){e[0]+=d("padding-left");e[1]+=d("padding-top")}this.cPos=e;return e},getMousePosition:function(h,f){var g=this.getCoordsTopLeftCorner(),d;d=JXG.getPosition(h,f);return[d[0]-g[0],d[1]-g[1]]},initMoveOrigin:function(d,e){this.drag_dx=d-this.origin.scrCoords[1];this.drag_dy=e-this.origin.scrCoords[2];this.mode=this.BOARD_MODE_MOVE_ORIGIN},initMoveObject:function(l,k,m,j){var h,e,i=[],f,g=this.objectsList.length,d={visProp:{layer:-10000}};for(e=0;e<g;e++){h=this.objectsList[e];f=h.hasPoint&&h.hasPoint(l,k);if(h.visProp.visible&&f){h.triggerEventHandlers([j+"down","down"],m);this.downObjects.push(h)}if(((this.geonextCompatibilityMode&&(h.elementClass==JXG.OBJECT_CLASS_POINT||h.type==JXG.OBJECT_TYPE_TEXT))||!this.geonextCompatibilityMode)&&h.isDraggable&&h.visProp.visible&&(!h.visProp.fixed)&&(!h.visProp.frozen)&&f){if(h.visProp.layer>=d.visProp.layer){if(JXG.exists(d.label)&&h==d.label.content){continue}d=h;i[0]=d}}}if(i.length>0){this.mode=this.BOARD_MODE_DRAG}if(this.options.takeFirst){i.length=1}return i},moveObject:function(d,k,j,e,h){var f=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(d,k),this),g=j.obj,i;if(g.type!=JXG.OBJECT_TYPE_GLIDER){if(!isNaN(j.targets[0].Xprev+j.targets[0].Yprev)){g.setPositionDirectly(JXG.COORDS_BY_SCREEN,f.scrCoords.slice(1),[j.targets[0].Xprev,j.targets[0].Yprev])}j.targets[0].Xprev=f.scrCoords[1];j.targets[0].Yprev=f.scrCoords[2];this.update(g)}else{if(g.type==JXG.OBJECT_TYPE_GLIDER){i=g.coords;g.setPositionDirectly(JXG.COORDS_BY_USER,f.usrCoords.slice(1));if(g.slideObject.elementClass==JXG.OBJECT_CLASS_CIRCLE){g.coords=JXG.Math.Geometry.projectPointToCircle(g,g.slideObject,this)}else{if(g.slideObject.elementClass==JXG.OBJECT_CLASS_LINE){g.coords=JXG.Math.Geometry.projectPointToLine(g,g.slideObject,this)}}if(g.group.length!=0){g.group[g.group.length-1].dX=g.coords.scrCoords[1]-i.scrCoords[1];g.group[g.group.length-1].dY=g.coords.scrCoords[2]-i.scrCoords[2];g.group[g.group.length-1].update(this)}else{this.update(g)}}}g.triggerEventHandlers([h+"drag","drag"],e);this.updateInfobox(g);this.update();g.highlight(true)},twoFingerMove:function(j,h,i,e){var d,f,g;if(JXG.exists(i)&&JXG.exists(i.obj)){g=i.obj}else{return}d=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(j[0],j[1]),this);f=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(h[0],h[1]),this);if(g.elementClass===JXG.OBJECT_CLASS_LINE){this.moveLine(d,f,i,g)}else{if(g.elementClass===JXG.OBJECT_CLASS_CIRCLE){this.moveCircle(d,f,i,g)}}g.triggerEventHandlers(["touchdrag","drag"],e);i.targets[0].Xprev=d.scrCoords[1];i.targets[0].Yprev=d.scrCoords[2];i.targets[1].Xprev=f.scrCoords[1];i.targets[1].Yprev=f.scrCoords[2]},moveLine:function(z,g,s,u){var A,w,r,q,h,n,i,t,v,e,f,p,m,l,k,j;if(JXG.exists(s.targets[0])&&JXG.exists(s.targets[1])&&!isNaN(s.targets[0].Xprev+s.targets[0].Yprev+s.targets[1].Xprev+s.targets[1].Yprev)){A=z.usrCoords;w=g.usrCoords;r=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[s.targets[0].Xprev,s.targets[0].Yprev],this)).usrCoords;q=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[s.targets[1].Xprev,s.targets[1].Yprev],this)).usrCoords;n=[1,(r[1]+q[1])*0.5,(r[2]+q[2])*0.5];h=[1,(A[1]+w[1])*0.5,(A[2]+w[2])*0.5];t=JXG.Math.crossProduct(r,q);i=JXG.Math.crossProduct(A,w);e=JXG.Math.crossProduct(t,i);if(Math.abs(e[0])<JXG.Math.eps){return;p=this.create("transform",[h[1]-n[1],h[2]-n[2]],{type:"translate"})}else{e[1]/=e[0];e[2]/=e[0];f=JXG.Math.Geometry.rad(n.slice(1),e.slice(1),h.slice(1));p=this.create("transform",[f,e[1],e[2]],{type:"rotate"})}p.update();n=JXG.Math.matVecMult(p.matrix,n);n[1]/=n[0];n[2]/=n[0];m=this.create("transform",[h[1]-n[1],h[2]-n[2]],{type:"translate"});m.update();n=JXG.Math.matVecMult(m.matrix,n);v=JXG.Math.Geometry.distance(A,w)/JXG.Math.Geometry.distance(r,q);l=this.create("transform",[-h[1],-h[2]],{type:"translate"});k=this.create("transform",[v,v],{type:"scale"});j=this.create("transform",[h[1],h[2]],{type:"translate"});p.melt(m).melt(l).melt(k).melt(j);p.applyOnce([u.point1,u.point2]);this.update(u.point1);u.highlight(true)}},moveCircle:function(g,s,f,m){var r,q,e,t,p,i,n,l,k,j,h;if(m.method==="pointCircle"||m.method==="pointLine"){return}if(JXG.exists(f.targets[0])&&JXG.exists(f.targets[1])&&!isNaN(f.targets[0].Xprev+f.targets[0].Yprev+f.targets[1].Xprev+f.targets[1].Yprev)){r=g.usrCoords;q=s.usrCoords;e=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[f.targets[0].Xprev,f.targets[0].Yprev],this)).usrCoords;t=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[f.targets[1].Xprev,f.targets[1].Yprev],this)).usrCoords;n=this.create("transform",[r[1]-e[1],r[2]-e[2]],{type:"translate"});i=JXG.Math.Geometry.rad(t.slice(1),r.slice(1),q.slice(1));p=JXG.Math.Geometry.distance(r,q)/JXG.Math.Geometry.distance(e,t);l=this.create("transform",[-r[1],-r[2]],{type:"translate"});k=this.create("transform",[i],{type:"rotate"});j=this.create("transform",[p,p],{type:"scale"});h=this.create("transform",[r[1],r[2]],{type:"translate"});n.melt(l).melt(k).melt(j).melt(h);n.applyOnce([m.center]);if(m.method==="twoPoints"){n.applyOnce([m.point2])}else{if(m.method==="pointRadius"){if(JXG.isNumber(m.updateRadius.origin)){m.setRadius(m.radius*p)}}}this.update(m.center);m.highlight(true)}},highlightElements:function(e,k,f,i){var h,j,g,d=this.objectsList.length;for(h=0;h<d;h++){j=this.objectsList[h];g=j.id;if(j.visProp.highlight&&JXG.exists(j.hasPoint)&&j.visProp.visible&&j.hasPoint(e,k)){this.updateInfobox(j);if(!JXG.exists(this.highlightedObjects[g])){this.highlightedObjects[g]=j;j.highlight();this.triggerEventHandlers(["mousehit","hit"],f,j,i)}if(j.mouseover){j.triggerEventHandlers(["mousemove","move"],f)}else{j.triggerEventHandlers(["mouseover","over"],f);j.mouseover=true}}}for(h=0;h<d;h++){j=this.objectsList[h];g=j.id;if(j.mouseover){if(!this.highlightedObjects[g]){j.triggerEventHandlers(["mouseout","out"],f);j.mouseover=false}}}},initXYstart:function(e){var d=[];if(e.elementClass==JXG.OBJECT_CLASS_LINE){d.push(e.point1.coords.usrCoords);d.push(e.point2.coords.usrCoords)}else{if(e.elementClass==JXG.OBJECT_CLASS_CIRCLE){d.push(e.center.coords.usrCoords)}else{if(e.type==JXG.OBJECT_TYPE_GLIDER){d.push([e.position,e.position,e.position])}else{d.push(e.coords.usrCoords)}}}return d},mouseOriginMoveStart:function(d){var e=this.options.pan&&d.shiftKey;if(e){var f=this.getMousePosition(d);this.initMoveOrigin(f[0],f[1])}return e},mouseOriginMove:function(d){var e=this.mode==this.BOARD_MODE_MOVE_ORIGIN;if(e){var f=this.getMousePosition(d);this.moveOrigin(f[0],f[1])}return e},touchOriginMoveStart:function(d){var f=d[JXG.touchProperty],e=this.options.pan&&f.length==2&&JXG.Math.Geometry.distance([f[0].screenX,f[0].screenY],[f[1].screenX,f[1].screenY])<80;if(e){var g=this.getMousePosition(d,0);this.initMoveOrigin(g[0],g[1])}return e},touchOriginMove:function(d){var e=this.mode==this.BOARD_MODE_MOVE_ORIGIN;if(e){var f=this.getMousePosition(d,0);this.moveOrigin(f[0],f[1])}return e},originMoveEnd:function(){this.mode=this.BOARD_MODE_NONE},addEventHandlers:function(){this.addMouseEventHandlers();this.addTouchEventHandlers()},addMouseEventHandlers:function(){if(!this.hasMouseHandlers&&typeof document!="undefined"){JXG.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this);JXG.addEvent(this.containerObj,"mousemove",this.mouseMoveListener,this);JXG.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this);JXG.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this);this.hasMouseHandlers=true;this.containerObj.oncontextmenu=function(d){if(JXG.exists(d)){d.preventDefault()}return false}}},addTouchEventHandlers:function(){if(!this.hasTouchHandlers&&typeof document!="undefined"){JXG.addEvent(this.containerObj,"touchstart",this.touchStartListener,this);JXG.addEvent(this.containerObj,"touchmove",this.touchMoveListener,this);JXG.addEvent(this.containerObj,"gesturestart",this.gestureStartListener,this);JXG.addEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this);this.hasTouchHandlers=true}},removeMouseEventHandlers:function(){if(this.hasMouseHandlers&&typeof document!="undefined"){JXG.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this);JXG.removeEvent(this.containerObj,"mousemove",this.mouseMoveListener,this);if(this.hasMouseUp){JXG.removeEvent(document,"mouseup",this.mouseUpListener,this);this.hasMouseUp=false}JXG.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this);JXG.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this);this.hasMouseHandlers=false}},removeTouchEventHandlers:function(){if(this.hasTouchHandlers&&typeof document!="undefined"){JXG.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this);JXG.removeEvent(this.containerObj,"touchmove",this.touchMoveListener,this);if(this.hasTouchEnd){JXG.removeEvent(document,"touchend",this.touchEndListener,this);this.hasTouchEnd=false}JXG.removeEvent(this.containerObj,"gesturestart",this.gestureStartListener,this);JXG.removeEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this);this.hasTouchHandlers=false}},removeEventHandlers:function(){this.removeMouseEventHandlers();this.removeTouchEventHandlers()},clickLeftArrow:function(){this.moveOrigin(this.origin.scrCoords[1]+this.canvasWidth*0.1,this.origin.scrCoords[2]);return this},clickRightArrow:function(){this.moveOrigin(this.origin.scrCoords[1]-this.canvasWidth*0.1,this.origin.scrCoords[2]);return this},clickUpArrow:function(){this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-this.canvasHeight*0.1);return this},clickDownArrow:function(){this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+this.canvasHeight*0.1);return this},gestureChangeListener:function(e){var g,f=this.options.zoom.factorX,d=this.options.zoom.factorY;if(!this.options.zoom.wheel){return true}e.preventDefault();if(this.mode===this.BOARD_MODE_NONE){g=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getMousePosition(e),this);this.options.zoom.factorX=e.scale/this.prevScale;this.options.zoom.factorY=e.scale/this.prevScale;this.zoomIn(g.usrCoords[1],g.usrCoords[2]);this.prevScale=e.scale;this.options.zoom.factorX=f;this.options.zoom.factorY=d}return false},gestureStartListener:function(d){if(!this.options.zoom.wheel){return true}d.preventDefault();this.prevScale=1;return false},touchStartListener:function(s){var n,r,d,h,g,f,v=this.options.precision.touch,m,u=[],t,o,q=s[JXG.touchProperty];if(!this.hasTouchEnd){JXG.addEvent(document,"touchend",this.touchEndListener,this);this.hasTouchEnd=true}if(this.hasMouseHandlers){this.removeMouseEventHandlers()}if(document.selection&&typeof document.selection.empty=="function"){document.selection.empty()}else{if(window.getSelection){window.getSelection().removeAllRanges()}}if(this.mode===this.BOARD_MODE_NONE&&this.touchOriginMoveStart(s)){this.triggerEventHandlers(["touchstart","down"],s);return false}this.options.precision.hasPoint=this.options.precision.touch;for(n=0;n<q.length;n++){q[n].jxg_isused=false}for(n=0;n<this.touches.length;n++){for(h=0;h<this.touches[n].targets.length;h++){this.touches[n].targets[h].num=-1;v=this.options.precision.touch;do{for(g=0;g<q.length;g++){if(Math.abs(Math.pow(q[g].screenX-this.touches[n].targets[h].X,2)+Math.pow(q[g].screenY-this.touches[n].targets[h].Y,2))<v*v){this.touches[n].targets[h].num=g;this.touches[n].targets[h].X=q[g].screenX;this.touches[n].targets[h].Y=q[g].screenY;q[g].jxg_isused=true;break}}v*=2}while(this.touches[n].targets[h].num==-1&&v<this.options.precision.touchMax);if(this.touches[n].targets[h].num===-1){JXG.debug("i couldn't find a targettouches for target no "+h+" on "+this.touches[n].obj.name+" ("+this.touches[n].obj.id+"). Removed the target.");JXG.debug("eps = "+v+", touchMax = "+JXG.Options.precision.touchMax);this.touches[n].targets.splice(n,1)}}}for(n=0;n<q.length;n++){if(!q[n].jxg_isused){r=this.getMousePosition(s,n);d=this.initMoveObject(r[0],r[1],s,"touch");if(d.length!=0){m=d[d.length-1];if(JXG.isPoint(m)||m.type===JXG.OBJECT_TYPE_TEXT){o=[{num:n,X:q[n].screenX,Y:q[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}];u=this.initXYstart(m);for(f=0;f<u.length;f++){o[0].Xstart.push(u[f][1]);o[0].Ystart.push(u[f][2]);o[0].Zstart.push(u[f][0])}this.touches.push({obj:m,targets:o});this.highlightedObjects[m.id]=m;m.highlight(true)}else{if(m.elementClass===JXG.OBJECT_CLASS_LINE||m.elementClass===JXG.OBJECT_CLASS_CIRCLE){t=false;for(h=0;h<this.touches.length;h++){if(m.id===this.touches[h].obj.id){t=true;if(this.touches[h].targets.length===1){var p={num:n,X:q[n].screenX,Y:q[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]};u=this.initXYstart(m);for(f=0;f<u.length;f++){p.Xstart.push(u[f][1]);p.Ystart.push(u[f][2]);p.Zstart.push(u[f][0])}this.touches[h].targets.push(p)}q[n].jxg_isused=true}}if(!t){o=[{num:n,X:q[n].screenX,Y:q[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}];u=this.initXYstart(m);for(f=0;f<u.length;f++){o[0].Xstart.push(u[f][1]);o[0].Ystart.push(u[f][2]);o[0].Zstart.push(u[f][0])}this.touches.push({obj:m,targets:o});this.highlightedObjects[m.id]=m;m.highlight(true)}}}}q[n].jxg_isused=true}}if(this.touches.length>0){s.preventDefault();s.stopPropagation()}if(JXG.isWebkitAndroid()){var e=new Date();this.touchMoveLast=e.getTime()-200}this.options.precision.hasPoint=this.options.precision.mouse;this.triggerEventHandlers(["touchstart","down"],s);return this.touches.length>0},touchMoveListener:function(d){var e,g=0,j,h=d[JXG.touchProperty];if(this.mode!==this.BOARD_MODE_NONE){d.preventDefault();d.stopPropagation()}if(JXG.isWebkitAndroid()){var f=new Date();f=f.getTime();if(f-this.touchMoveLast<80){this.updateQuality=this.BOARD_QUALITY_HIGH;this.triggerEventHandlers(["touchmove","move"],d,this.mode);return false}else{this.touchMoveLast=f}}if(this.mode!=this.BOARD_MODE_DRAG){this.renderer.hide(this.infobox)}this.options.precision.hasPoint=this.options.precision.touch;if(!this.touchOriginMove(d)){if(this.mode==this.BOARD_MODE_DRAG){for(e=0;e<this.touches.length;e++){if(this.touches[e].targets.length===1){if(h[this.touches[e].targets[0].num]){this.touches[e].targets[0].X=h[this.touches[e].targets[0].num].screenX;this.touches[e].targets[0].Y=h[this.touches[e].targets[0].num].screenY;j=this.getMousePosition(d,this.touches[e].targets[0].num);this.moveObject(j[0],j[1],this.touches[e],d,"touch")}}else{if(this.touches[e].targets.length===2&&this.touches[e].targets[0].num>-1&&this.touches[e].targets[1].num>-1){if(h[this.touches[e].targets[0].num]&&h[this.touches[e].targets[1].num]){this.touches[e].targets[0].X=h[this.touches[e].targets[0].num].screenX;this.touches[e].targets[0].Y=h[this.touches[e].targets[0].num].screenY;this.touches[e].targets[1].X=h[this.touches[e].targets[1].num].screenX;this.touches[e].targets[1].Y=h[this.touches[e].targets[1].num].screenY;this.twoFingerMove(this.getMousePosition(d,this.touches[e].targets[0].num),this.getMousePosition(d,this.touches[e].targets[1].num),this.touches[e],d)}}}}}}if(this.mode!=this.BOARD_MODE_DRAG){this.renderer.hide(this.infobox)}this.options.precision.hasPoint=this.options.precision.mouse;this.triggerEventHandlers(["touchmove","move"],d,this.mode);return this.mode===this.BOARD_MODE_NONE},touchEndListener:function(m){var f,e,d,o=this.options.precision.touch,l=[],n,g,h=m[JXG.touchProperty];this.triggerEventHandlers(["touchend","up"],m);this.renderer.hide(this.infobox);if(h.length>0){for(f=0;f<this.touches.length;f++){l[f]=this.touches[f]}this.touches.length=0;for(f=0;f<h.length;f++){h[f].jxg_isused=false}for(f=0;f<l.length;f++){n=false;g=0;for(e=0;e<l[f].targets.length;e++){l[f].targets[e].found=false;for(d=0;d<h.length;d++){if(Math.abs(Math.pow(h[d].screenX-l[f].targets[e].X,2)+Math.pow(h[d].screenY-l[f].targets[e].Y,2))<o*o){l[f].targets[e].found=true;l[f].targets[e].num=d;l[f].targets[e].X=h[d].screenX;l[f].targets[e].Y=h[d].screenY;g++;break}}}if(JXG.isPoint(l[f].obj)){n=(l[f].targets[0]&&l[f].targets[0].found)}else{if(l[f].obj.elementClass===JXG.OBJECT_CLASS_LINE){n=(l[f].targets[0]&&l[f].targets[0].found)||(l[f].targets[1]&&l[f].targets[1].found)}else{if(l[f].obj.elementClass===JXG.OBJECT_CLASS_CIRCLE){n=g===1||g===3}}}if(n){this.touches.push({obj:l[f].obj,targets:[]});for(e=0;e<l[f].targets.length;e++){if(l[f].targets[e].found){this.touches[this.touches.length-1].targets.push({num:l[f].targets[e].num,X:l[f].targets[e].screenX,Y:l[f].targets[e].screenY,Xprev:NaN,Yprev:NaN,Xstart:l[f].targets[e].Xstart,Ystart:l[f].targets[e].Ystart,Zstart:l[f].targets[e].Zstart})}}}else{delete this.highlightedObjects[l[f].obj.id];l[f].obj.noHighlight()}}}else{this.touches.length=0}for(f=0;f<this.downObjects.length;f++){n=false;for(e=0;e<this.touches.length;e++){if(this.touches[e].obj.id==this.downObjects[f].id){n=true}}if(!n){this.downObjects[f].triggerEventHandlers(["touchup","up"],m);this.downObjects[f].snapToGrid();this.downObjects.splice(f,1)}}if(!h||h.length===0){JXG.removeEvent(document,"touchend",this.touchEndListener,this);this.hasTouchEnd=false;this.dehighlightAll();this.updateQuality=this.BOARD_QUALITY_HIGH;this.originMoveEnd();this.update()}return true},mouseDownListener:function(d){var j,g,h,f,e;if(document.selection&&typeof document.selection.empty=="function"){document.selection.empty()}else{if(window.getSelection){window.getSelection().removeAllRanges()}}if(!this.hasMouseUp){JXG.addEvent(document,"mouseup",this.mouseUpListener,this);this.hasMouseUp=true}if(this.mouseOriginMoveStart(d)){f=false}else{j=this.getMousePosition(d);g=this.initMoveObject(j[0],j[1],d,"mouse");if(g.length==0){this.mode=this.BOARD_MODE_NONE;f=true}else{this.mouse={obj:null,targets:[{X:j[0],Y:j[1],Xprev:NaN,Yprev:NaN}]};this.mouse.obj=g[g.length-1];this.dehighlightAll();this.highlightedObjects[this.mouse.obj.id]=this.mouse.obj;this.mouse.obj.highlight(true);this.mouse.targets[0].Xstart=[];this.mouse.targets[0].Ystart=[];this.mouse.targets[0].Zstart=[];h=this.initXYstart(this.mouse.obj);for(e=0;e<h.length;e++){this.mouse.targets[0].Xstart.push(h[e][1]);this.mouse.targets[0].Ystart.push(h[e][2]);this.mouse.targets[0].Zstart.push(h[e][0])}if(d&&d.preventDefault){d.preventDefault()}else{if(window.event){window.event.returnValue=false}}}}this.triggerEventHandlers(["mousedown","down"],d);return f},mouseUpListener:function(d){var e;this.triggerEventHandlers(["mouseup","up"],d);this.updateQuality=this.BOARD_QUALITY_HIGH;if(this.mouse&&this.mouse.obj){this.mouse.obj.snapToGrid()}this.originMoveEnd();this.dehighlightAll();this.update();for(e=0;e<this.downObjects.length;e++){this.downObjects[e].triggerEventHandlers(["mouseup","up"],d)}this.downObjects.length=0;if(this.hasMouseUp){JXG.removeEvent(document,"mouseup",this.mouseUpListener,this);this.hasMouseUp=false}this.mouse=null},mouseMoveListener:function(d){var e;e=this.getMousePosition(d);this.updateQuality=this.BOARD_QUALITY_LOW;if(this.mode!=this.BOARD_MODE_DRAG){this.dehighlightAll();this.renderer.hide(this.infobox)}if(!this.mouseOriginMove(d)){if(this.mode==this.BOARD_MODE_DRAG){this.moveObject(e[0],e[1],this.mouse,d,"mouse")}else{this.highlightElements(e[0],e[1],d,-1)}}this.updateQuality=this.BOARD_QUALITY_HIGH;this.triggerEventHandlers(["mousemove","move"],d,this.mode)},mouseWheelListener:function(d){if(!this.options.zoom.wheel){return true}d=d||window.event;var e=d.detail?d.detail*(-1):d.wheelDelta/40,f=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getMousePosition(d),this);if(e>0){this.zoomIn(f.usrCoords[1],f.usrCoords[2])}else{this.zoomOut(f.usrCoords[1],f.usrCoords[2])}d.preventDefault();return false},updateInfobox:function(e){var d,h,f,g;if(!e.visProp.showinfobox){return this}if(e.elementClass==JXG.OBJECT_CLASS_POINT){f=e.coords.usrCoords[1];g=e.coords.usrCoords[2];this.infobox.setCoords(f+this.infobox.distanceX/(this.unitX),g+this.infobox.distanceY/(this.unitY));if(typeof(e.infoboxText)!="string"){if(e.visProp.infoboxdigits==="auto"){d=JXG.autoDigits(f);h=JXG.autoDigits(g)}else{if(JXG.isNumber(e.visProp.infoboxdigits)){d=f.toFixed(e.visProp.infoboxdigits);h=g.toFixed(e.visProp.infoboxdigits)}else{d=f;h=g}}this.highlightInfobox(d,h,e)}else{this.highlightCustomInfobox(e.infoboxText,e)}this.renderer.show(this.infobox)}return this},highlightCustomInfobox:function(d){this.infobox.setText(d);return this},highlightInfobox:function(d,f,e){this.highlightCustomInfobox("("+d+", "+f+")");return this},dehighlightAll:function(){var e,f,d=false;for(e in this.highlightedObjects){f=this.highlightedObjects[e];if(this.hasMouseHandlers){f.noHighlight()}d=true}this.highlightedObjects={};if(this.options.renderer=="canvas"&&d){this.prepareUpdate();this.renderer.suspendRedraw(this);this.updateRenderer();this.renderer.unsuspendRedraw()}return this},getScrCoordsOfMouse:function(d,e){return[d,e]},getUsrCoordsOfMouse:function(f){var g=this.getCoordsTopLeftCorner(),e=JXG.getPosition(f),d=e[0]-g[0],i=e[1]-g[1],h=new JXG.Coords(JXG.COORDS_BY_SCREEN,[d,i],this);return h.usrCoords.slice(1)},getAllUnderMouse:function(d){var e=this.getAllObjectsUnderMouse(d);e.push(this.getUsrCoordsOfMouse(d));return e},getAllObjectsUnderMouse:function(i){var j=this.getCoordsTopLeftCorner(),d=JXG.getPosition(i),l=d[0]-j[0],k=d[1]-j[1],g=[],e,h,f=this.objectsList.length;for(e=0;e<f;e++){h=this.objectsList[e];if(h.visProp.visible&&h.hasPoint&&h.hasPoint(l,k)){g[g.length]=h}}return g},moveOrigin:function(e,h){var g,f,d=this.objectsList.length;if(JXG.exists(e)&&JXG.exists(h)){this.origin.scrCoords[1]=e;this.origin.scrCoords[2]=h;if(this.mode===this.BOARD_MODE_MOVE_ORIGIN){this.origin.scrCoords[1]-=this.drag_dx;this.origin.scrCoords[2]-=this.drag_dy}}for(f=0;f<d;f++){g=this.objectsList[f];if(!g.visProp.frozen&&(g.elementClass==JXG.OBJECT_CLASS_POINT||g.elementClass==JXG.OBJECT_CLASS_CURVE||g.type==JXG.OBJECT_TYPE_AXIS||g.type==JXG.OBJECT_TYPE_TEXT)){if(g.elementClass!=JXG.OBJECT_CLASS_CURVE&&g.type!=JXG.OBJECT_TYPE_AXIS){g.coords.usr2screen()}}}this.clearTraces();this.fullUpdate();return this},addConditions:function(o){var e="var el, x, y, c, rgbo;\n",n=o.indexOf("<data>"),l=o.indexOf("</data>"),k,h,g,q,d,f;if(n<0){return}while(n>=0){k=o.slice(n+6,l);h=k.indexOf("=");g=k.slice(0,h);q=k.slice(h+1);h=g.indexOf(".");d=g.slice(0,h);f=this.elementsByName[JXG.unescapeHTML(d)];var p=g.slice(h+1).replace(/\s+/g,"").toLowerCase();q=JXG.GeonextParser.geonext2JS(q,this);q=q.replace(/this\.board\./g,"this.");if(!JXG.exists(this.elementsByName[d])){JXG.debug("debug conditions: |"+d+"| undefined")}e+='el = this.objects["'+f.id+'"];\n';switch(p){case"x":e+="var y=el.coords.usrCoords[2];\n";e+="el.setPositionDirectly(JXG.COORDS_BY_USER,["+(q)+",y]);\n";e+="el.prepareUpdate().update();\n";break;case"y":e+="var x=el.coords.usrCoords[1];\n";e+="el.coords=new JXG.Coords(JXG.COORDS_BY_USER,[x,"+(q)+"],this);\n";e+="el.setPositionDirectly(JXG.COORDS_BY_USER,[x,"+(q)+"]);\n";e+="el.prepareUpdate().update();\n";break;case"visible":e+="var c="+(q)+";\n";e+="el.visProp.visible = c;\n";e+="if (c) {el.showElement();} else {el.hideElement();}\n";break;case"position":e+="el.position = "+(q)+";\n";e+="el.prepareUpdate().update(true);\n";break;case"stroke":e+="rgbo = JXG.rgba2rgbo("+(q)+");\n";e+="el.visProp.strokecolor = rgbo[0];\n";e+="el.visProp.strokeopacity = rgbo[1];\n";break;case"style":e+="el.setStyle("+(q)+");\n";break;case"strokewidth":e+="el.strokeWidth = "+(q)+";\n";break;case"fill":e+="var rgbo = JXG.rgba2rgbo("+(q)+");\n";e+="el.visProp.fillcolor = rgbo[0];\n";e+="el.visProp.fillopacity = rgbo[1];\n";break;case"label":break;default:JXG.debug("property '"+p+"' in conditions not yet implemented:"+q);break}o=o.slice(l+7);n=o.indexOf("<data>");l=o.indexOf("</data>")}e+="this.prepareUpdate().updateElements();\n";e+="return true;\n";e=e.replace(/&lt;/g,"<");e=e.replace(/&gt;/g,">");e=e.replace(/&amp;/g,"&");this.updateConditions=new Function(e);this.updateConditions()},updateConditions:function(){return false},calculateSnapSizes:function(){var f=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this),e=new JXG.Coords(JXG.COORDS_BY_USER,[this.options.grid.gridX,this.options.grid.gridY],this),d=f.scrCoords[1]-e.scrCoords[1],g=f.scrCoords[2]-e.scrCoords[2];this.options.grid.snapSizeX=this.options.grid.gridX;while(Math.abs(d)>25){this.options.grid.snapSizeX*=2;d/=2}this.options.grid.snapSizeY=this.options.grid.gridY;while(Math.abs(g)>25){this.options.grid.snapSizeY*=2;g/=2}return this},applyZoom:function(){var f,e,d=this.objectsList.length;for(e=0;e<d;e++){f=this.objectsList[e];if(!f.visProp.frozen&&(f.elementClass==JXG.OBJECT_CLASS_POINT||f.elementClass==JXG.OBJECT_CLASS_CURVE||f.type==JXG.OBJECT_TYPE_AXIS||f.type==JXG.OBJECT_TYPE_TEXT)){if(f.elementClass!=JXG.OBJECT_CLASS_CURVE&&f.type!=JXG.OBJECT_TYPE_AXIS){f.coords.usr2screen()}}}this.calculateSnapSizes();this.clearTraces();this.fullUpdate();return this},zoomIn:function(l,j){var g=this.getBoundingBox(),k=this.options.zoom.factorX,i=this.options.zoom.factorY,e=(g[2]-g[0])*(1-1/k),d=(g[1]-g[3])*(1-1/i),f=0.5,h=0.5;if(typeof l==="number"&&typeof j==="number"){f=(l-g[0])/(g[2]-g[0]);h=(g[1]-j)/(g[1]-g[3])}this.setBoundingBox([g[0]+e*f,g[1]-d*h,g[2]-e*(1-f),g[3]+d*(1-h)],false);this.zoomX*=k;this.zoomY*=i;this.applyZoom();return this},zoomOut:function(l,j){var g=this.getBoundingBox(),k=this.options.zoom.factorX,i=this.options.zoom.factorY,e=(g[2]-g[0])*(1-k),d=(g[1]-g[3])*(1-i),f=0.5,h=0.5;if(typeof l==="number"&&typeof j==="number"){f=(l-g[0])/(g[2]-g[0]);h=(g[1]-j)/(g[1]-g[3])}this.setBoundingBox([g[0]+e*f,g[1]-d*h,g[2]-e*(1-f),g[3]+d*(1-h)],false);this.zoomX/=k;this.zoomY/=i;this.applyZoom();return this},zoom100:function(){var f=this.getBoundingBox(),e=(f[2]-f[0])*(1-this.zoomX)*0.5,d=(f[1]-f[3])*(1-this.zoomY)*0.5;this.setBoundingBox([f[0]+e,f[1]-d,f[2]-e,f[3]+d],false);this.zoomX=1;this.zoomY=1;this.applyZoom();return this},zoomAllPoints:function(){var h=0,e=0,g=0,d=0,f,i,m,l,j=this.objectsList.length,k;for(f=0;f<j;f++){k=this.objectsList[f];if(JXG.isPoint(k)&&k.visProp.visible){if(k.coords.usrCoords[1]<h){h=k.coords.usrCoords[1]}else{if(k.coords.usrCoords[1]>e){e=k.coords.usrCoords[1]}}if(k.coords.usrCoords[2]>d){d=k.coords.usrCoords[2]}else{if(k.coords.usrCoords[2]<g){g=k.coords.usrCoords[2]}}}}i=50;m=i/(this.unitX);l=i/(this.unitY);this.zoomX=1;this.zoomY=1;this.setBoundingBox([h-m,d+l,e+m,g-l],true);this.applyZoom();return this},zoomElements:function(l){var h,g,m,k,f=[0,0,0,0],d=[1,-1,-1,1];if(!JXG.isArray(l)||l.length===0){return this}for(h=0;h<l.length;h++){m=JXG.getRef(this,l[h]);k=m.bounds();if(JXG.isArray(k)){if(JXG.isArray(f)){for(g=0;g<4;g++){if(d[g]*k[g]<d[g]*f[g]){f[g]=k[g]}}}else{f=k}}}if(JXG.isArray(f)){for(g=0;g<4;g++){f[g]-=d[g]}this.zoomX=1;this.zoomY=1;this.setBoundingBox(f,true)}return this},setZoom:function(g,f){var e=this.options.zoom.factorX,d=this.options.zoom.factorY;this.options.zoom.factorX=g/this.zoomX;this.options.zoom.factorY=f/this.zoomY;this.zoomIn();this.options.zoom.factorX=e;this.options.zoom.factorY=d;return this},removeObject:function(d){var g,f;if(JXG.isArray(d)){for(f=0;f<d.length;f++){this.removeObject(d[f])}}d=JXG.getReference(this,d);if(!JXG.exists(d)){return this}try{for(g in d.childElements){d.childElements[g].board.removeObject(d.childElements[g])}for(g in this.objects){if(JXG.exists(this.objects[g].childElements)){delete (this.objects[g].childElements[d.id]);delete (this.objects[g].descendants[d.id])}}if(d._pos>-1){this.objectsList.splice(d._pos,1);for(g=d._pos;g<this.objectsList.length;g++){this.objectsList[g]._pos--}}else{JXG.debug("object "+d.id+" not found in list.")}delete (this.objects[d.id]);delete (this.elementsByName[d.name]);if(d.visProp&&d.visProp.trace){d.clearTrace()}if(JXG.exists(d.remove)){d.remove()}}catch(h){JXG.debug(d.id+": Could not be removed: "+h)}this.update();return this},removeAncestors:function(d){for(var e in d.ancestors){this.removeAncestors(d.ancestors[e])}this.removeObject(d);return this},initGeonextBoard:function(){var h,g,f,e,d;h=this.create("point",[0,0],{id:this.id+"g00e0",name:"Ursprung",withLabel:false,visible:false,fixed:true});g=this.create("point",[1,0],{id:this.id+"gX0e0",name:"Punkt_1_0",withLabel:false,visible:false,fixed:true});f=this.create("point",[0,1],{id:this.id+"gY0e0",name:"Punkt_0_1",withLabel:false,visible:false,fixed:true});e=this.create("line",[h,g],{id:this.id+"gXLe0",name:"X-Achse",withLabel:false,visible:false});d=this.create("line",[h,f],{id:this.id+"gYLe0",name:"Y-Achse",withLabel:false,visible:false});return this},initInfobox:function(){var d=JXG.copyAttributes({},this.options,"infobox");d.id=this.id+"_infobox";this.infobox=this.create("text",[0,0,"0,0"],d);this.infobox.distanceX=-20;this.infobox.distanceY=25;this.infobox.needsUpdateSize=false;this.infobox.dump=false;this.renderer.hide(this.infobox);return this},resizeContainer:function(d,e){this.canvasWidth=parseFloat(d);this.canvasHeight=parseFloat(e);this.containerObj.style.width=(this.canvasWidth)+"px";this.containerObj.style.height=(this.canvasHeight)+"px";this.renderer.resize(this.canvasWidth,this.canvasHeight);return this},showDependencies:function(){var g,e,j,h,d;e="<p>\n";for(g in this.objects){d=0;for(j in this.objects[g].childElements){d++}if(d>=0){e+="<b>"+this.objects[g].id+":</b> "}for(j in this.objects[g].childElements){e+=this.objects[g].childElements[j].id+"("+this.objects[g].childElements[j].name+"), "}e+="<p>\n"}e+="</p>\n";h=window.open();h.document.open();h.document.write(e);h.document.close();return this},showXML:function(){var d=window.open("");d.document.open();d.document.write("<pre>"+JXG.escapeHTML(this.xmlString)+"</pre>");d.document.close();return this},prepareUpdate:function(){var e,f,d=this.objectsList.length;for(e=0;e<d;e++){f=this.objectsList[e];f.needsUpdate=f.needsRegularUpdate||this.needsFullUpdate}return this},updateElements:function(e){var d,f;e=JXG.getRef(this,e);for(d=0;d<this.objectsList.length;d++){f=this.objectsList[d];f.update(!JXG.exists(e)||f.id!==e.id)}return this},updateRenderer:function(f){var e,g,d=this.objectsList.length;if(this.options.renderer=="canvas"){this.updateRendererCanvas(f)}else{for(e=0;e<d;e++){g=this.objectsList[e];g.updateRenderer()}}return this},updateRendererCanvas:function(h){var d,m,g,l=this.objectsList.length,f=this.options.layer,k=this.options.layer.numlayers,n=Number.NEGATIVE_INFINITY,j,e;for(g=0;g<k;g++){j=Number.POSITIVE_INFINITY;for(e in f){if(f[e]>n&&f[e]<j){j=f[e]}}n=j;for(d=0;d<l;d++){m=this.objectsList[d];if(m.visProp.layer===j){m.prepareUpdate().updateRenderer()}}}return this},addHook:function(f,d,e){d=JXG.def(d,"update");e=JXG.def(e,this);this.hooks.push([d,f]);this.on(d,f,e);return this.hooks.length-1},on:function(f,e,d){d=JXG.def(d,this);if(!JXG.isArray(this.eventHandlers[f])){this.eventHandlers[f]=[]}this.eventHandlers[f].push({handler:e,context:d});return this},addEvent:JXG.shortcut(JXG.Board.prototype,"on"),removeHook:function(d){if(this.hooks[d]){this.off(this.hooks[d][0],this.hooks[d][1]);this.hooks[d]=null}return this},off:function(f,e){var d;if(!f||!JXG.isArray(this.eventHandlers[f])){return}if(e){d=JXG.indexOf(this.eventHandlers[f],e,"handler");if(d>-1){this.eventHandlers[f].splice(d,1)}}else{this.eventHandlers[f].length=0}return this},removeEvent:JXG.shortcut(JXG.Board.prototype,"off"),updateHooks:function(d){arguments[0]=JXG.def(arguments[0],"update");this.triggerEventHandlers.apply(this,arguments);return this},triggerEventHandlers:function(l){var g,f,k,d,e=Array.prototype.slice.call(arguments,1);if(!JXG.isArray(l)){l=[l]}for(f=0;f<l.length;f++){d=l[f];if(JXG.isArray(this.eventHandlers[d])){for(g=0;g<this.eventHandlers[d].length;g++){k=this.eventHandlers[d][g];k.handler.apply(k.context,e)}}}return this},addChild:function(d){this.dependentBoards.push(d);this.update();return this},removeChild:function(e){var d;for(d=this.dependentBoards.length-1;d>=0;d--){if(this.dependentBoards[d]==e){this.dependentBoards.splice(d,1)}}return this},update:function(g){var f,e,h,d;if(this.inUpdate||this.isSuspendedUpdate){return this}this.inUpdate=true;this.prepareUpdate(g).updateElements(g).updateConditions();this.renderer.suspendRedraw(this);this.updateRenderer(g);this.renderer.unsuspendRedraw();this.triggerEventHandlers("update");e=this.dependentBoards.length;for(f=0;f<e;f++){h=this.dependentBoards[f].id;d=JXG.JSXGraph.boards[h];if(d!=this){d.updateQuality=this.updateQuality;d.prepareUpdate().updateElements().updateConditions();d.renderer.suspendRedraw();d.updateRenderer();d.renderer.unsuspendRedraw();d.triggerEventHandlers("update")}}this.inUpdate=false;return this},fullUpdate:function(){this.needsFullUpdate=true;this.update();this.needsFullUpdate=false;return this},addGrid:function(){this.create("grid",[]);return this},removeGrids:function(){var d;for(d=0;d<this.grids.length;d++){this.removeObject(this.grids[d])}this.grids.length=0;this.update();return this},create:function(e,f,d){var h,g;e=e.toLowerCase();if(!JXG.exists(f)){f=[]}if(!JXG.exists(d)){d={}}for(g=0;g<f.length;g++){if(e!="text"||g!=2){f[g]=JXG.getReference(this,f[g])}}if(JXG.JSXGraph.elements[e]!=null){if(typeof JXG.JSXGraph.elements[e]=="function"){h=JXG.JSXGraph.elements[e](this,f,d)}else{h=JXG.JSXGraph.elements[e].creator(this,f,d)}}else{throw new Error("JSXGraph: JXG.createElement: Unknown element type given: "+e)}if(!JXG.exists(h)){JXG.debug("JSXGraph: JXG.createElement: failure creating "+e);return h}if(h.prepareUpdate&&h.update&&h.updateRenderer){h.prepareUpdate().update().updateRenderer()}return h},createElement:JXG.shortcut(JXG.Board.prototype,"create"),clearTraces:function(){var d;for(d=0;d<this.objectsList.length;d++){this.objectsList[d].clearTrace()}this.numTraces=0;return this},suspendUpdate:function(){this.isSuspendedUpdate=true;return this},unsuspendUpdate:function(){this.isSuspendedUpdate=false;this.update();return this},setBoundingBox:function(i,e){if(!JXG.isArray(i)){return this}var 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d;for(d in this.animationObjects){if(this.animationObjects[d]===null){continue}this.animationObjects[d]=null;delete (this.animationObjects[d])}clearInterval(this.animationIntervalCode);delete (this.animationIntervalCode);return this},animate:function(){var j=0,g,f,l,d,e,k,i=null,h;for(g in this.animationObjects){if(this.animationObjects[g]===null){continue}j++;f=this.animationObjects[g];if(f.animationPath){if(JXG.isFunction(f.animationPath)){l=f.animationPath(new Date().getTime()-f.animationStart)}else{l=f.animationPath.pop()}if((!JXG.exists(l))||(!JXG.isArray(l)&&isNaN(l))){delete (f.animationPath)}else{f.setPositionDirectly(JXG.COORDS_BY_USER,l);f.prepareUpdate().update().updateRenderer();i=f}}if(f.animationData){k=0;for(d in f.animationData){e=f.animationData[d].pop();if(!JXG.exists(e)){delete (f.animationData[e])}else{k++;f.setProperty(d+":"+e)}}if(k==0){delete (f.animationData)}}if(!JXG.exists(f.animationData)&&!JXG.exists(f.animationPath)){this.animationObjects[g]=null;delete 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h.objects){g=h.objects[f];if(d!="none"){if(this.currentCBDef=="none"){g.visPropOriginal={strokecolor:g.visProp.strokecolor,fillcolor:g.visProp.fillcolor,highlightstrokecolor:g.visProp.highlightstrokecolor,highlightfillcolor:g.visProp.highlightfillcolor}}g.setProperty({strokecolor:JXG.rgb2cb(g.visPropOriginal.strokecolor,d),fillcolor:JXG.rgb2cb(g.visPropOriginal.fillcolor,d),highlightstrokecolor:JXG.rgb2cb(g.visPropOriginal.highlightstrokecolor,d),highlightfillcolor:JXG.rgb2cb(g.visPropOriginal.highlightfillcolor,d)})}else{if(JXG.exists(g.visPropOriginal)){JXG.extend(g.visProp,g.visPropOriginal)}}}this.currentCBDef=d;this.update();return this},getPartialConstruction:function(d){var f,e;for(e=1;e<arguments.length;e++){f.push(arguments[e])}},createRoulette:function(h,g,l,i,k,e,j){var f=this;var d=function(){var s=0,w=0,v=0,u=l,t=JXG.Math.Numerics.root(function(G){var 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d()}});JXG.Options={showCopyright:true,showNavigation:true,takeSizeFromFile:false,renderer:"svg",takeFirst:false,pan:true,animationDelay:35,zoom:{factorX:1.25,factorY:1.25,wheel:false},jc:{enabled:true,compile:true},navbar:{strokeColor:"#aaaaaa",fillColor:"#f5f5f5",padding:"2px",position:"absolute",fontSize:"10px",cursor:"pointer",zIndex:"100",right:"5px",bottom:"5px"},elements:{strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",fillColor:"red",highlightFillColor:"none",strokeOpacity:1,highlightStrokeOpacity:1,fillOpacity:1,highlightFillOpacity:1,strokeWidth:2,highlightStrokeWidth:2,fixed:false,frozen:false,withLabel:false,visible:true,priv:false,layer:0,dash:0,shadow:false,trace:false,traceAttributes:{},highlight:true,needsRegularUpdate:true,snapToGrid:false,draft:{draft:false,strokeColor:"#565656",fillColor:"#565656",strokeOpacity:0.8,fillOpacity:0.8,strokeWidth:1}},ticks:{drawLabels:false,label:{},drawZero:false,insertTicks:false,minTicksDistance:50,minorHeight:4,majorHeight:10,minorTicks:4,scale:1,scaleSymbol:"",labels:[],ticksDistance:1,strokeOpacity:1,strokeWidth:1,strokeColor:"black",highlightStrokeColor:"#888888"},precision:{touch:30,touchMax:100,mouse:4,epsilon:0.0001,hasPoint:4},layer:{numlayers:20,text:9,point:9,glider:9,arc:8,line:7,circle:6,curve:5,turtle:5,polygon:3,sector:3,angle:3,integral:3,axis:2,grid:1,image:0,trace:0},angle:{withLabel:true,radius:0.5,type:"sector",orthoType:"square",orthoSensitivity:1,fillColor:"#FF7F00",highlightFillColor:"#FF7F00",strokeColor:"#FF7F00",fillOpacity:0.3,highlightFillOpacity:0.3,radiuspoint:{withLabel:false,visible:false,name:""},pointsquare:{withLabel:false,visible:false,name:""},dot:{visible:false,strokeColor:"none",fillColor:"black",size:2,face:"o",withLabel:false,name:""},label:{position:"top",offset:[0,0],strokeColor:"#0000FF"}},arc:{label:{},firstArrow:false,lastArrow:false,fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",useDirection:false},axis:{needsRegularUpdate:false,strokeWidth:1,strokeColor:"#666666",highlightStrokeWidth:1,highlightStrokeColor:"#888888",withTicks:true,straightFirst:true,straightLast:true,lastArrow:true,withLabel:false,ticks:{label:{offset:[4,-12+3]},needsRegularUpdate:false,strokeWidth:1,strokeColor:"#666666",highlightStrokeColor:"#888888",drawLabels:true,drawZero:false,insertTicks:true,minTicksDistance:10,minorHeight:4,majorHeight:-1,minorTicks:4,ticksDistance:1,strokeOpacity:0.25},point1:{needsRegularUpdate:false},point2:{needsRegularUpdate:false},label:{position:"lft",offset:[10,-20]}},bisector:{strokeColor:"#000000",point:{visible:false,fixed:false,withLabel:false,name:""}},bisectorlines:{line1:{strokeColor:"black"},line2:{strokeColor:"black"}},chart:{chartStyle:"line",colors:["#B02B2C","#3F4C6B","#C79810","#D15600","#FFFF88","#C3D9FF","#4096EE","#008C00"],highlightcolors:null,fillcolor:null,highlightonsector:false,highlightbysize:false},circle:{fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",center:{visible:false,withLabel:false,fixed:false,name:""},label:{position:"urt"}},circumcircle:{fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",center:{visible:false,fixed:false,withLabel:false,name:""}},circumcirclearc:{fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",center:{visible:false,withLabel:false,fixed:false,name:""}},circumcirclesector:{useDirection:true,fillColor:"#00FF00",highlightFillColor:"#00FF00",fillOpacity:0.3,highlightFillOpacity:0.3,strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",point:{visible:false,fixed:false,withLabel:false,name:""}},conic:{fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",foci:{fixed:false,visible:false,withLabel:false,name:""}},curve:{strokeWidth:1,strokeColor:"#0000ff",fillColor:"none",handDrawing:false,curveType:null,RDPsmoothing:false,numberPointsHigh:1600,numberPointsLow:400,doAdvancedPlot:true,label:{position:"lft"}},glider:{label:{}},grid:{needsRegularUpdate:false,hasGrid:false,gridX:1,gridY:1,strokeColor:"#C0C0C0",strokeOpacity:"0.5",strokeWidth:1,dash:0,snapToGrid:false,snapSizeX:10,snapSizeY:10},image:{imageString:null,fillOpacity:1,rotate:0},incircle:{fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#C3D9FF",center:{visible:false,fixed:false,withLabel:false,name:""}},infobox:{fontSize:12,isLabel:false,strokeColor:"#bbbbbb",display:"html",anchorX:"left",anchorY:"middle",cssClass:"JXGinfobox",rotate:0,visible:true},integral:{withLabel:true,strokeWidth:0,strokeOpacity:0,fillOpacity:0.8,curveLeft:{visible:true,layer:9},baseLeft:{visible:false,fixed:false,withLabel:false,name:""},curveRight:{visible:true,layer:9},baseRight:{visible:false,fixed:false,withLabel:false,name:""},label:{fontSize:20}},label:{strokeColor:"black",fixed:true,position:"urt",offset:[10,10]},legend:{style:"vertical",labels:["1","2","3","4","5","6","7","8"],colors:["#B02B2C","#3F4C6B","#C79810","#D15600","#FFFF88","#C3D9FF","#4096EE","#008C00"]},line:{firstArrow:false,lastArrow:false,straightFirst:true,straightLast:true,fillColor:"none",highlightFillColor:"none",strokeColor:"#0000ff",highlightStrokeColor:"#888888",withTicks:false,point1:{visible:false,withLabel:false,fixed:false,name:""},point2:{visible:false,withLabel:false,fixed:false,name:""},ticks:{drawLabels:true,label:{offset:[4,-12+3]},drawZero:false,insertTicks:false,minTicksDistance:50,maxTicksDistance:300,minorHeight:4,majorHeight:-1,minorTicks:4,defaultDistance:1,strokeOpacity:0.3},label:{position:"llft"}},locus:{translateToOrigin:false,translateTo10:false,stretch:false,toOrigin:null,to10:null},normal:{strokeColor:"#000000",point:{visible:false,fixed:false,withLabel:false,name:""}},orthogonalprojection:{},parallel:{strokeColor:"#000000",point:{visible:false,fixed:false,withLabel:false,name:""}},perpendicular:{strokeColor:"#000000",straightFirst:true,straightLast:true},perpendicularsegment:{strokeColor:"#000000",straightFirst:false,straightLast:false,point:{visible:false,fixed:true,withLabel:false,name:""}},point:{withLabel:true,label:{},style:5,face:"o",size:3,fillColor:"#ff0000",highlightFillColor:"#EEEEEE",strokeWidth:2,strokeColor:"#ff0000",highlightStrokeColor:"#C3D9FF",zoom:false,showInfobox:true,infoboxDigits:"auto",draft:false,attractors:[],attractorDistance:0,snatchDistance:0,snapToGrid:false,snapSizeX:1,snapSizeY:1,snapToPoints:false},polygon:{hasInnerPoints:false,fillColor:"#00FF00",highlightFillColor:"#00FF00",fillOpacity:0.3,highlightFillOpacity:0.3,withLines:true,borders:{withLabel:false,strokeWidth:1,highlightStrokeWidth:1,layer:5},vertices:{withLabel:true,strokeColor:"#ff0000",fillColor:"#ff0000",fixed:true},label:{offset:[0,0]}},riemannsum:{withLabel:false,fillOpacity:0.3,fillColor:"#ffff00"},sector:{fillColor:"#00FF00",highlightFillColor:"#00FF00",fillOpacity:0.3,highlightFillOpacity:0.3,label:{offset:[0,0]}},semicircle:{midpoint:{visible:false,withLabel:false,fixed:false,name:""}},slider:{snapWidth:-1,precision:2,firstArrow:false,lastArrow:false,withTicks:true,withLabel:true,layer:9,showInfobox:false,name:"",visible:true,strokeColor:"#000000",highlightStrokeColor:"#888888",fillColor:"#ffffff",highlightFillColor:"none",size:6,point1:{needsRegularUpdate:false,showInfobox:false,withLabel:false,visible:false,fixed:true,name:""},point2:{needsRegularUpdate:false,showInfobox:false,withLabel:false,visible:false,fixed:true,name:""},baseline:{needsRegularUpdate:false,name:"",strokeWidth:1,strokeColor:"#000000",highlightStrokeColor:"#888888"},ticks:{needsRegularUpdate:false,drawLabels:false,drawZero:true,insertTicks:true,minorHeight:4,majorHeight:10,minorTicks:0,defaultDistance:1,strokeOpacity:1,strokeWidth:1,strokeColor:"#000000"},highline:{strokeWidth:3,name:"",strokeColor:"#000000",highlightStrokeColor:"#888888"},label:{strokeColor:"#000000"}},text:{fontSize:12,digits:2,isLabel:false,strokeColor:"#000000",useASCIIMathML:false,useMathJax:false,display:"html",anchorX:"left",anchorY:"middle",cssClass:"JXGtext",highlightCssClass:"JXGtext",withLabel:false,rotate:0,visible:true},tracecurve:{strokeColor:"#000000",fillColor:"none",numberPoints:100},turtle:{strokeWidth:1,fillColor:"none",strokeColor:"#000000",arrow:{strokeWidth:2,withLabel:false,strokeColor:"#ff0000"}},shortcuts:{color:["strokeColor","fillColor"],opacity:["strokeOpacity","fillOpacity"],highlightColor:["highlightStrokeColor","highlightFillColor"],highlightOpacity:["highlightStrokeOpacity","highlightFillOpacity"],strokeWidth:["strokeWidth","highlightStrokeWidth"]}};JXG.Validator=(function(){var k=function(i){return/^[0-9]+px$/.test(i)},m=function(i){return(i in {html:0,internal:0})},n=function(i){return JXG.isString(i)},l=function(i){return JXG.exists(JXG.Point.prototype.normalizeFace.call(this,i))},p=function(i){return(Math.abs(i-Math.round(i))<JXG.Math.eps)},q=function(i){return p(i)&&i>0},h=function(i){return i.length>=2&&p(i[0])&&p(i[1])},d=function(i){return(i in {vml:0,svg:0,canvas:0})},j=function(i){return i>0},g=function(i){return !(i<0)},f,o={},e={attractorDistance:g,color:n,defaultDistance:JXG.isNumber,display:m,doAdvancedPlot:false,draft:false,drawLabels:false,drawZero:false,face:l,factor:JXG.isNumber,fillColor:n,fillOpacity:JXG.isNumber,firstArrow:false,fontSize:p,dash:p,gridX:JXG.isNumber,gridY:JXG.isNumber,hasGrid:false,highlightFillColor:n,highlightFillOpacity:JXG.isNumber,highlightStrokeColor:n,highlightStrokeOpacity:JXG.isNumber,insertTicks:false,lastArrow:false,majorHeight:p,maxTicksDistance:q,minorHeight:p,minorTicks:q,minTicksDistance:q,numberPointsHigh:q,numberPointsLow:q,opacity:JXG.isNumber,radius:JXG.isNumber,RDPsmoothing:false,renderer:d,right:k,showCopyright:false,showInfobox:false,showNavigation:false,size:p,snapSizeX:j,snapSizeY:j,snapWidth:JXG.isNumber,snapToGrid:false,snatchDistance:g,straightFirst:false,straightLast:false,stretch:false,strokeColor:n,strokeOpacity:JXG.isNumber,strokeWidth:p,takeFirst:false,takeSizeFromFile:false,to10:false,toOrigin:false,translateTo10:false,translateToOrigin:false,useASCIIMathML:false,useDirection:false,useMathJax:false,withLabel:false,withTicks:false,zoom:false};for(f in e){o[f.toLowerCase()]=e[f]}return o})();JXG.useStandardOptions=function(h){var j=JXG.Options,g=h.hasGrid,f,e,i,d;h.options.grid.hasGrid=j.grid.hasGrid;h.options.grid.gridX=j.grid.gridX;h.options.grid.gridY=j.grid.gridY;h.options.grid.gridColor=j.grid.gridColor;h.options.grid.gridOpacity=j.grid.gridOpacity;h.options.grid.gridDash=j.grid.gridDash;h.options.grid.snapToGrid=j.grid.snapToGrid;h.options.grid.snapSizeX=j.grid.SnapSizeX;h.options.grid.snapSizeY=j.grid.SnapSizeY;h.takeSizeFromFile=j.takeSizeFromFile;d=function(k,l){k.visProp.fillcolor=l.fillColor;k.visProp.highlightfillcolor=l.highlightFillColor;k.visProp.strokecolor=l.strokeColor;k.visProp.highlightstrokecolor=l.highlightStrokeColor};for(f in h.objects){i=h.objects[f];if(i.elementClass==JXG.OBJECT_CLASS_POINT){d(i,j.point)}else{if(i.elementClass==JXG.OBJECT_CLASS_LINE){d(i,j.line);for(e in i.ticks){e.majorTicks=j.line.ticks.majorTicks;e.minTicksDistance=j.line.ticks.minTicksDistance;e.visProp.minorheight=j.line.ticks.minorHeight;e.visProp.majorheight=j.line.ticks.majorHeight}}else{if(i.elementClass==JXG.OBJECT_CLASS_CIRCLE){d(i,j.circle)}else{if(i.type==JXG.OBJECT_TYPE_ANGLE){d(i,j.angle)}else{if(i.type==JXG.OBJECT_TYPE_ARC){d(i,j.arc)}else{if(i.type==JXG.OBJECT_TYPE_POLYGON){d(i,j.polygon)}else{if(i.type==JXG.OBJECT_TYPE_CONIC){d(i,j.conic)}else{if(i.type==JXG.OBJECT_TYPE_CURVE){d(i,j.curve)}else{if(i.type==JXG.OBJECT_TYPE_SECTOR){i.arc.visProp.fillcolor=j.sector.fillColor;i.arc.visProp.highlightfillcolor=j.sector.highlightFillColor;i.arc.visProp.fillopacity=j.sector.fillOpacity;i.arc.visProp.highlightfillopacity=j.sector.highlightFillOpacity}}}}}}}}}}h.fullUpdate();if(g&&!h.hasGrid){h.removeGrids(h)}else{if(!g&&h.hasGrid){h.create("grid",[])}}};JXG.useBlackWhiteOptions=function(d){var e=JXG.Options;e.point.fillColor=JXG.rgb2bw(e.point.fillColor);e.point.highlightFillColor=JXG.rgb2bw(e.point.highlightFillColor);e.point.strokeColor=JXG.rgb2bw(e.point.strokeColor);e.point.highlightStrokeColor=JXG.rgb2bw(e.point.highlightStrokeColor);e.line.fillColor=JXG.rgb2bw(e.line.fillColor);e.line.highlightFillColor=JXG.rgb2bw(e.line.highlightFillColor);e.line.strokeColor=JXG.rgb2bw(e.line.strokeColor);e.line.highlightStrokeColor=JXG.rgb2bw(e.line.highlightStrokeColor);e.circle.fillColor=JXG.rgb2bw(e.circle.fillColor);e.circle.highlightFillColor=JXG.rgb2bw(e.circle.highlightFillColor);e.circle.strokeColor=JXG.rgb2bw(e.circle.strokeColor);e.circle.highlightStrokeColor=JXG.rgb2bw(e.circle.highlightStrokeColor);e.arc.fillColor=JXG.rgb2bw(e.arc.fillColor);e.arc.highlightFillColor=JXG.rgb2bw(e.arc.highlightFillColor);e.arc.strokeColor=JXG.rgb2bw(e.arc.strokeColor);e.arc.highlightStrokeColor=JXG.rgb2bw(e.arc.highlightStrokeColor);e.polygon.fillColor=JXG.rgb2bw(e.polygon.fillColor);e.polygon.highlightFillColor=JXG.rgb2bw(e.polygon.highlightFillColor);e.sector.fillColor=JXG.rgb2bw(e.sector.fillColor);e.sector.highlightFillColor=JXG.rgb2bw(e.sector.highlightFillColor);e.curve.strokeColor=JXG.rgb2bw(e.curve.strokeColor);e.grid.gridColor=JXG.rgb2bw(e.grid.gridColor);JXG.useStandardOptions(d)};JXG.JSXGraph={licenseText:"JSXGraph v0.95 Copyright (C) see http://jsxgraph.org",boards:{},elements:{},rendererType:(function(){var e=function(h){var f,g;if(JXG.rendererFiles[h]){f=JXG.rendererFiles[h].split(",");for(g=0;g<f.length;g++){(function(i){JXG.require(JXG.requirePath+i+".js")})(f[g])}delete (JXG.rendererFiles[h])}};JXG.Options.renderer="no";if(JXG.supportsVML()){JXG.Options.renderer="vml";function d(){document.body.scrollLeft;document.body.scrollTop}document.onmousemove=d;e("vml")}if(JXG.supportsCanvas()){JXG.Options.renderer="canvas";e("canvas")}if(JXG.supportsSVG()){JXG.Options.renderer="svg";e("svg")}return JXG.Options.renderer})(),initBoard:function(o,l){var u,s,r,g,f,p,v,i,d,j,n,m,A,q,k,e,z,t;i=JXG.getDimensions(o);if(typeof l=="undefined"){l={}}if(typeof l.boundingbox!="undefined"){d=l.boundingbox;p=parseInt(i.width);v=parseInt(i.height);if(l.keepaspectratio){g=p/(d[2]-d[0]);f=v/(-d[3]+d[1]);if(Math.abs(g)<Math.abs(f)){f=Math.abs(g)*f/Math.abs(f)}else{g=Math.abs(f)*g/Math.abs(g)}}else{g=p/(d[2]-d[0]);f=v/(-d[3]+d[1])}s=-g*d[0];r=f*d[1]}else{s=((typeof l.originX)=="undefined"?150:l.originX);r=((typeof l.originY)=="undefined"?150:l.originY);g=((typeof l.unitX)=="undefined"?50:l.unitX);f=((typeof l.unitY)=="undefined"?50:l.unitY)}j=((typeof l.zoomfactor)=="undefined"?1:l.zoom);n=j*((typeof l.zoomX)=="undefined"?1:l.zoomX);m=j*((typeof l.zoomY)=="undefined"?1:l.zoomY);A=((typeof l.showCopyright)=="undefined"?JXG.Options.showCopyright:l.showCopyright);e=((typeof l.zoom)=="undefined"?JXG.Options.zoom.wheel:l.zoom);z=((typeof l.pan)=="undefined"?JXG.Options.pan:l.pan);if(JXG.Options.renderer=="svg"){u=new JXG.SVGRenderer(document.getElementById(o))}else{if(JXG.Options.renderer=="vml"){u=new JXG.VMLRenderer(document.getElementById(o))}else{if(JXG.Options.renderer=="silverlight"){u=new JXG.SilverlightRenderer(document.getElementById(o),i.width,i.height)}else{if(JXG.Options.renderer=="canvas"){u=new JXG.CanvasRenderer(document.getElementById(o))}else{u=new JXG.NoRenderer()}}}}k=new JXG.Board(o,u,"",[s,r],n,m,g,f,i.width,i.height,A);this.boards[k.id]=k;k.keepaspectratio=l.keepaspectratio;k.options.zoom.wheel=e;k.options.pan=z;k.suspendUpdate();k.initInfobox();if(l.axis){t=typeof l.axis==="object"?l.axis:{ticks:{drawZero:true}};k.defaultAxes={};k.defaultAxes.x=k.create("axis",[[0,0],[1,0]],t);k.defaultAxes.y=k.create("axis",[[0,0],[0,1]],t)}if(l.grid){k.create("grid",[],(typeof l.grid==="object"?l.grid:{}))}if(typeof l.shownavigation!="undefined"){l.showNavigation=l.shownavigation}q=((typeof l.showNavigation)=="undefined"?k.options.showNavigation:l.showNavigation);if(q){k.renderer.drawZoomBar(k)}k.unsuspendUpdate();return k},loadBoardFromFile:function(g,d,i){var h,e,f;if(JXG.Options.renderer=="svg"){h=new JXG.SVGRenderer(document.getElementById(g))}else{if(JXG.Options.renderer=="vml"){h=new JXG.VMLRenderer(document.getElementById(g))}else{if(JXG.Options.renderer=="silverlight"){h=new JXG.SilverlightRenderer(document.getElementById(g),f.width,f.height)}else{h=new JXG.CanvasRenderer(document.getElementById(g))}}}f=JXG.getDimensions(g);e=new JXG.Board(g,h,"",[150,150],1,1,50,50,f.width,f.height);e.initInfobox();JXG.FileReader.parseFileContent(d,e,i);if(e.options.showNavigation){e.renderer.drawZoomBar(e)}this.boards[e.id]=e;return e},loadBoardFromString:function(g,d,i){var h,f,e;if(JXG.Options.renderer=="svg"){h=new JXG.SVGRenderer(document.getElementById(g))}else{if(JXG.Options.renderer=="vml"){h=new JXG.VMLRenderer(document.getElementById(g))}else{if(JXG.Options.renderer=="silverlight"){h=new JXG.SilverlightRenderer(document.getElementById(g),f.width,f.height)}else{h=new JXG.CanvasRenderer(document.getElementById(g))}}}f=JXG.getDimensions(g);e=new JXG.Board(g,h,"",[150,150],1,1,50,50,f.width,f.height);e.initInfobox();JXG.FileReader.parseString(d,e,i,true);if(e.options.showNavigation){e.renderer.drawZoomBar(e)}this.boards[e.id]=e;return e},freeBoard:function(f){var e,d;if(typeof(f)=="string"){f=this.boards[f]}f.removeEventHandlers();f.suspendUpdate();for(e in f.objects){f.removeObject(f.objects[e])}while(f.containerObj.firstChild){f.containerObj.removeChild(f.containerObj.firstChild)}for(e in f.objects){delete (f.objects[e])}delete (f.renderer);delete (f.algebra);f.jc.creator.clearCache();delete (f.jc);delete (this.boards[f.id])},registerElement:function(d,e){d=d.toLowerCase();this.elements[d]=e;if(JXG.Board.prototype["_"+d]){throw new Error("JSXGraph: Can't create wrapper method in JXG.Board because member '_"+d+"' already exists'")}JXG.Board.prototype["_"+d]=function(g,f){return this.create(d,g,f)}},unregisterElement:function(d){delete (this.elements[d.toLowerCase()]);delete (JXG.Board.prototype["_"+d.toLowerCase()])}};JXG.OBJECT_TYPE_ARC=1;JXG.OBJECT_TYPE_ARROW=2;JXG.OBJECT_TYPE_AXIS=3;JXG.OBJECT_TYPE_AXISPOINT=4;JXG.OBJECT_TYPE_TICKS=5;JXG.OBJECT_TYPE_CIRCLE=6;JXG.OBJECT_TYPE_CONIC=7;JXG.OBJECT_TYPE_CURVE=8;JXG.OBJECT_TYPE_GLIDER=9;JXG.OBJECT_TYPE_IMAGE=10;JXG.OBJECT_TYPE_LINE=11;JXG.OBJECT_TYPE_POINT=12;JXG.OBJECT_TYPE_SLIDER=13;JXG.OBJECT_TYPE_CAS=14;JXG.OBJECT_TYPE_GXTCAS=15;JXG.OBJECT_TYPE_POLYGON=16;JXG.OBJECT_TYPE_SECTOR=17;JXG.OBJECT_TYPE_TEXT=18;JXG.OBJECT_TYPE_ANGLE=19;JXG.OBJECT_TYPE_INTERSECTION=20;JXG.OBJECT_TYPE_TURTLE=21;JXG.OBJECT_TYPE_VECTOR=22;JXG.OBJECT_TYPE_OPROJECT=23;JXG.OBJECT_TYPE_GRID=24;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(h,d,g,i){var e,f;this.needsUpdate=true;this.isDraggable=false;this.isReal=true;this.childElements={};this.hasLabel=false;this.highlighted=false;this.notExistingParents={};this.traces={};this.numTraces=0;this.transformations=[];this.baseElement=null;this.descendants={};this.ancestors={};this.symbolic={};this.elType="";this.dump=true;this.subs={};this._pos=-1;this.stdform=[1,0,0,0,1,1,0,0];this.methodMap={setLabel:"setLabelText",getName:"getName",addTransform:"addTransform",setProperty:"setProperty",setAttribute:"setAttribute"};this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]];this.visProp={};this.eventHandlers={};this.mouseover=false;if(arguments.length>0){this.board=h;this.type=g;this.elementClass=i||JXG.OBJECT_CLASS_OTHER;this.id=d.id;e=d.name;if(!JXG.exists(e)){e=this.board.generateName(this)}this.board.elementsByName[e]=this;this.name=e;this.needsRegularUpdate=d.needsregularupdate;JXG.clearVisPropOld(this);d=this.resolveShortcuts(d);for(f in d){this._set(f,d[f])}this.visProp.draft=d.draft&&d.draft.draft;this.visProp.gradientangle="270";this.visProp.gradientsecondopacity=this.visProp.fillopacity;this.visProp.gradientpositionx=0.5;this.visProp.gradientpositiony=0.5}};JXG.extend(JXG.GeometryElement.prototype,{addChild:function(f){var e,d;this.childElements[f.id]=f;this.addDescendants(f);f.ancestors[this.id]=this;for(e in this.descendants){this.descendants[e].ancestors[this.id]=this;for(d in this.ancestors){this.descendants[e].ancestors[this.ancestors[d].id]=this.ancestors[d]}}for(e in this.ancestors){for(d in this.descendants){this.ancestors[e].descendants[this.descendants[d].id]=this.descendants[d]}}return this},addDescendants:function(e){var d;this.descendants[e.id]=e;for(d in e.childElements){this.addDescendants(e.childElements[d])}return this},countChildren:function(){var g,e=0,f;f=this.childElements;for(g in f){if(f.hasOwnProperty(g)&&g.indexOf("Label")<0){e++}}return e},getName:function(){return this.name},addTransform:function(){},draggable:function(){return this.isDraggable&&!this.visProp.fixed&&!this.visProp.frozen&&this.type!=JXG.OBJECT_TYPE_GLIDER},generatePolynomial:function(){return[]},animate:function(g,f,q){q=q||{};var d,e,j=this.board.options.animationDelay,k=Math.ceil(f/(j*1)),h,n=this,m=false;this.animationData={};var o=function(w,v,t){var u,s,r,p,i;u=JXG.rgb2hsv(w);s=JXG.rgb2hsv(v);r=(s[0]-u[0])/(1*k);p=(s[1]-u[1])/(1*k);i=(s[2]-u[2])/(1*k);n.animationData[t]=new Array(k);for(h=0;h<k;h++){n.animationData[t][k-h-1]=JXG.hsv2rgb(u[0]+(h+1)*r,u[1]+(h+1)*p,u[2]+(h+1)*i)}},l=function(v,i,u,p){var r;v=parseFloat(v);i=parseFloat(i);if(isNaN(v)||isNaN(i)){return}var t=(i-v)/(1*k);n.animationData[u]=new Array(k);for(h=0;h<k;h++){r=v+(h+1)*t;n.animationData[u][k-h-1]=p?Math.floor(r):r}};for(d in g){e=d.toLowerCase();switch(e){case"strokecolor":case"fillcolor":o(this.visProp[e],g[d],e);break;case"size":if(this.elementClass!==JXG.OBJECT_CLASS_POINT){break}m=true;case"strokeopacity":case"strokewidth":case"fillopacity":l(this.visProp[e],g[d],e,m);break}}this.animationCallback=q.callback;this.board.addAnimation(this);return this},update:function(){if(this.visProp.trace){this.cloneToBackground(true)}return this},updateRenderer:function(){return this},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)}}return this},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)}}return this},_set:function(e,d){e=e.toLocaleLowerCase();if(this.visProp.hasOwnProperty(e)&&e.indexOf("color")>=0&&JXG.isString(d)&&d.length==9&&d.charAt(0)==="#"){d=JXG.rgba2rgbo(d);this.visProp[e]=d[0];this.visProp[e.replace("color","opacity")]=d[1]}else{this.visProp[e]=d}},resolveShortcuts:function(f){var e,d;for(e in JXG.Options.shortcuts){if(JXG.exists(f[e])){for(d=0;d<JXG.Options.shortcuts[e].length;d++){if(!JXG.exists(f[JXG.Options.shortcuts[e][d]])){f[JXG.Options.shortcuts[e][d]]=f[e]}}}}return f},setLabelText:function(d){d=d.replace(/</g,"&lt;").replace(/>/g,"&gt;");if(this.label!==null){this.label.content.setText(d)}return this},setAttribute:JXG.shortcut(JXG.GeometryElement.prototype,"setProperty"),setProperty:function(){var h,g,j,d,e,k,f={};for(h=0;h<arguments.length;h++){d=arguments[h];if(JXG.isString(d)){k=d.split(":");f[JXG.trim(k[0])]=JXG.trim(k[1])}else{if(!JXG.isArray(d)){JXG.extend(f,d)}else{f[d[0]]=d[1]}}}f=this.resolveShortcuts(f);for(h in f){g=h.replace(/\s+/g,"").toLowerCase();j=f[h];switch(g){case"name":delete this.board.elementsByName[this.name];this.name=j;this.board.elementsByName[this.name]=this;break;case"needsregularupdate":this.needsRegularUpdate=!(j=="false"||j==false);this.board.renderer.setBuffering(this,this.needsRegularUpdate?"auto":"static");break;case"labelcolor":j=JXG.rgba2rgbo(j);e=j[1];j=j[0];if(e==0){if(this.label!=null&&this.hasLabel){this.label.content.hideElement()}}if(this.label!=null&&this.hasLabel){this.label.color=j;this.board.renderer.setObjectStrokeColor(this.label.content,j,e)}if(this.type==JXG.OBJECT_TYPE_TEXT){this.visProp.strokecolor=j;this.visProp.strokeopacity=e;this.board.renderer.setObjectStrokeColor(this,this.visProp.strokecolor,this.visProp.strokeopacity)}break;case"infoboxtext":if(typeof(j)=="string"){this.infoboxText=j}else{this.infoboxText=false}break;case"visible":if(j=="false"||j==false){this.visProp.visible=false;this.hideElement()}else{if(j=="true"||j==true){this.visProp.visible=true;this.showElement()}}break;case"face":if(this.elementClass==JXG.OBJECT_CLASS_POINT){this.visProp.face=j;this.board.renderer.changePointStyle(this)}break;case"trace":if(j=="false"||j==false){this.clearTrace();this.visProp.trace=false}else{this.visProp.trace=true}break;case"gradient":this.visProp.gradient=j;this.board.renderer.setGradient(this);break;case"gradientsecondcolor":j=JXG.rgba2rgbo(j);this.visProp.gradientsecondcolor=j[0];this.visProp.gradientsecondopacity=j[1];this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=j;this.board.renderer.updateGradient(this);break;case"withlabel":this.visProp.withlabel=j;if(!j){if(this.label&&this.label.content&&this.hasLabel){this.label.content.hideElement()}}else{if(this.label&&this.label.content){if(this.visProp.visible){this.label.content.showElement()}}else{this.createLabel();if(!this.visProp.visible){this.label.content.hideElement()}}}this.hasLabel=j;break;case"rotate":if((this.type===JXG.OBJECT_TYPE_TEXT&&this.visProp.display=="internal")||this.type===JXG.OBJECT_TYPE_IMAGE){this.addRotation(j)}break;default:if(JXG.exists(this.visProp[g])&&(!JXG.Validator[g]||(JXG.Validator[g]&&JXG.Validator[g](j))||(JXG.Validator[g]&&JXG.isFunction(j)&&JXG.Validator[g](j())))){j=j.toLowerCase&&j.toLowerCase()==="false"?false:j;this._set(g,j)}break}}if(!this.visProp.needsregularupdate){this.board.fullUpdate()}else{this.board.update(this)}return this},getAttribute:JXG.shortcut(JXG.GeometryElement.prototype,"getProperty"),getProperty:function(e){var d;e=e.toLowerCase();switch(e){case"needsregularupdate":d=this.needsRegularUpdate;break;case"labelcolor":d=this.label.color;break;case"infoboxtext":d=this.infoboxText;break;case"withlabel":d=this.hasLabel;break;default:d=this.visProp[e];break}return d},setDash:function(d){this.setProperty({dash:d});return this},prepareUpdate:function(){this.needsUpdate=true;return this},remove:function(){this.board.renderer.remove(this.board.renderer.getElementById(this.id));if(this.hasLabel){this.board.renderer.remove(this.board.renderer.getElementById(this.label.content.id))}return this},getTextAnchor:function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)},getLabelAnchor:function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)},setStraight:function(d,e){return this},setArrow:function(e,d){this.visProp.firstarrow=e;this.visProp.lastarrow=d;this.prepareUpdate().update();return this},createGradient:function(){if(this.visProp.gradient==="linear"||this.visProp.gradient==="radial"){this.board.renderer.setGradient(this)}},createLabel:function(){var d={};d=JXG.deepCopy(this.visProp.label,null);d.id=this.id+"Label";d.isLabel=true;d.visible=this.visProp.visible;d.anchor=this;d.priv=this.visProp.priv;this.nameHTML=JXG.GeonextParser.replaceSup(JXG.GeonextParser.replaceSub(this.name));this.label={};if(this.visProp.withlabel){this.label.relativeCoords=[0,0];this.label.content=JXG.createText(this.board,[this.label.relativeCoords[0],-this.label.relativeCoords[1],this.nameHTML],d);this.label.content.dump=false;this.label.color=this.label.content.visProp.strokecolor;if(!this.visProp.visible){this.label.hiddenByParent=true;this.label.content.visProp.visible=false}this.hasLabel=true}return this},highlight:function(d){d=JXG.def(d,false);if(!this.highlighted||d){this.highlighted=true;this.board.renderer.highlight(this)}return this},noHighlight:function(){if(this.highlighted){this.highlighted=false;this.board.renderer.noHighlight(this)}return this},clearTrace:function(){var d;for(d in this.traces){this.board.renderer.remove(this.traces[d])}this.numTraces=0;return this},cloneToBackground:function(){return this},bounds:function(){},normalize:function(){this.stdform=JXG.Math.normalize(this.stdform);return this},toJSON:function(){var e='{"name":'+this.name;e+=', "id":'+this.id;var f=[];for(var d in this.visProp){if(this.visProp[d]!=null){f.push('"'+d+'":'+this.visProp[d])}}e+=', "visProp":{'+f.toString()+"}";e+="}";return e},addRotation:function(j){var f,i,g,e,d,h=this;if(((this.type===JXG.OBJECT_TYPE_TEXT&&this.visProp.display==="internal")||this.type===JXG.OBJECT_TYPE_IMAGE)&&j!=0){var f,i,g,e,d,h=this;f=this.board.create("transform",[function(){return -h.X()},function(){return -h.Y()}],{type:"translate"});i=this.board.create("transform",[function(){return h.X()},function(){return h.Y()}],{type:"translate"});g=this.board.create("transform",[function(){return h.board.unitX/h.board.unitY},function(){return 1}],{type:"scale"});e=this.board.create("transform",[function(){return h.board.unitY/h.board.unitX},function(){return 1}],{type:"scale"});d=this.board.create("transform",[j*Math.PI/180],{type:"rotate"});f.bindTo(this);g.bindTo(this);d.bindTo(this);e.bindTo(this);i.bindTo(this)}return this},highlightStrokeColor:function(d){this.setProperty({highlightStrokeColor:d});return this},strokeColor:function(d){this.setProperty({strokeColor:d});return this},strokeWidth:function(d){this.setProperty({strokeWidth:d});return this},fillColor:function(d){this.setProperty({fillColor:d});return this},highlightFillColor:function(d){this.setProperty({highlightFillColor:d});return this},labelColor:function(d){this.setProperty({labelColor:d});return this},dash:function(e){this.setProperty({dash:e});return this},visible:function(d){this.setProperty({visible:d});return this},shadow:function(d){this.setProperty({shadow:d});return this},getType:function(){return this.elType},getParents:function(){return this.parents},snapToGrid:function(){return this},getAttributes:function(){var d=JXG.deepCopy(this.visProp),e=["attractors","attractordistance","snatchdistance","traceattributes","frozen","shadow","gradientangle","gradientsecondopacity","gradientpositionx","gradientpositiony","needsregularupdate","zoom","layer","offset"],f;d.id=this.id;d.name=this.name;for(f=0;f<e.length;f++){delete d[e[f]]}return d},hasPoint:function(d,e){return false},triggerEventHandlers:function(l){var g,k,f=Array.prototype.slice.call(arguments,1),e,d;if(!JXG.isArray(l)){l=[l]}for(e=0;e<l.length;e++){d=l[e];if(JXG.isArray(this.eventHandlers[d])){for(g=0;g<this.eventHandlers[d].length;g++){k=this.eventHandlers[d][g];k.handler.apply(k.context,f)}}}},on:function(f,e,d){if(!JXG.isArray(this.eventHandlers[f])){this.eventHandlers[f]=[]}d=JXG.def(d,this);this.eventHandlers[f].push({handler:e,context:d})},addEvent:JXG.shortcut(JXG.GeometryElement.prototype,"on"),off:function(f,e){var d;if(!f||!JXG.isArray(this.eventHandlers[f])){return}if(e){d=JXG.indexOf(this.eventHandlers[f],e,"handler");if(d>-1){this.eventHandlers[f].splice(d,1)}}else{this.eventHandlers[f].length=0}},removeEvent:JXG.shortcut(JXG.GeometryElement.prototype,"off")});JXG.COORDS_BY_USER=1;JXG.COORDS_BY_SCREEN=2;JXG.Coords=function(f,e,d){this.board=d;this.usrCoords=[];this.scrCoords=[];this.setCoordinates(f,e)};JXG.extend(JXG.Coords.prototype,{normalizeUsrCoords:function(){var d=JXG.Math.eps;if(Math.abs(this.usrCoords[0])>d){this.usrCoords[1]/=this.usrCoords[0];this.usrCoords[2]/=this.usrCoords[0];this.usrCoords[0]=1}},usr2screen:function(h){var g=Math.round,d=this.board,f=this.usrCoords,e=d.origin.scrCoords;if(h===null||h){this.scrCoords[0]=g(f[0]);this.scrCoords[1]=g(f[0]*e[1]+f[1]*d.unitX);this.scrCoords[2]=g(f[0]*e[2]-f[2]*d.unitY)}else{this.scrCoords[0]=f[0];this.scrCoords[1]=f[0]*e[1]+f[1]*d.unitX;this.scrCoords[2]=f[0]*e[2]-f[2]*d.unitY}},screen2usr:function(){var f=this.board.origin.scrCoords,e=this.scrCoords,d=this.board;this.usrCoords[0]=1;this.usrCoords[1]=(e[1]-f[1])/d.unitX;this.usrCoords[2]=(f[2]-e[2])/d.unitY},distance:function(e,j){var g=0,k,d=this.usrCoords,i=this.scrCoords,h;if(e===JXG.COORDS_BY_USER){k=j.usrCoords;h=d[0]-k[0];g=h*h;if(g>JXG.Math.eps){return Number.POSITIVE_INFINITY}h=d[1]-k[1];g+=h*h;h=d[2]-k[2];g+=h*h}else{k=j.scrCoords;h=i[1]-k[1];g+=h*h;h=i[2]-k[2];g+=h*h}return Math.sqrt(g)},setCoordinates:function(e,h,f){var d=this.usrCoords,g=this.scrCoords;if(e===JXG.COORDS_BY_USER){if(h.length===2){d[0]=1;d[1]=h[0];d[2]=h[1]}else{d[0]=h[0];d[1]=h[1];d[2]=h[2];this.normalizeUsrCoords()}this.usr2screen(f)}else{g[1]=h[0];g[2]=h[1];this.screen2usr()}return this}});JXG.Point=function(e,f,d){this.constructor(e,d,JXG.OBJECT_TYPE_POINT,JXG.OBJECT_CLASS_POINT);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.position=null;this.onPolygon=false;this.slideObject=null;this.Xjc=null;this.Yjc=null;this.methodMap=JXG.deepCopy(this.methodMap,{move:"moveTo",glide:"makeGlider",X:"X",Y:"Y",free:"free",setPosition:"setGliderPosition"});this.group=[];this.elType="point";this.id=this.board.setId(this,"P");this.board.renderer.drawPoint(this);this.board.finalizeAdding(this);this.createLabel()};JXG.Point.prototype=new JXG.GeometryElement();JXG.extend(JXG.Point.prototype,{hasPoint:function(e,g){var d=this.coords.scrCoords,f;f=parseFloat(this.visProp.size)+parseFloat(this.visProp.strokewidth)*0.5;if(f<this.board.options.precision.hasPoint){f=this.board.options.precision.hasPoint}return((Math.abs(d[1]-e)<f+2)&&(Math.abs(d[2]-g))<f+2)},updateConstraint:function(){return this},update:function(d){if(!this.needsUpdate){return this}if(typeof d=="undefined"){d=false}if(this.type==JXG.OBJECT_TYPE_GLIDER){if(d){this.updateGliderFromParent()}else{this.updateGlider()}}if(this.type==JXG.OBJECT_TYPE_CAS||this.type==JXG.OBJECT_TYPE_AXISPOINT){this.updateConstraint()}this.updateTransform();if(this.visProp.trace){this.cloneToBackground(true)}return this},updateGlider:function(){var k,r,n,m,q,e,f,o,j,l=this.slideObject,h,p,g;if(l.elementClass==JXG.OBJECT_CLASS_CIRCLE){this.coords=JXG.Math.Geometry.projectPointToCircle(this,l,this.board);this.position=JXG.Math.Geometry.rad([l.center.X()+1,l.center.Y()],l.center,this)}else{if(l.elementClass==JXG.OBJECT_CLASS_LINE){if(this.onPolygon){r=l.point1.coords.usrCoords;n=l.point2.coords.usrCoords;k=1;m=n[k]-r[k];if(Math.abs(m)<JXG.Math.eps){k=2;m=n[k]-r[k]}f=JXG.Math.Geometry.projectPointToLine(this,l,this.board);o=(f.usrCoords[k]-r[k])/m;e=l.parentPolygon;if(o<0){for(k=0;k<e.borders.length;k++){if(l==e.borders[k]){l=e.borders[(k-1+e.borders.length)%e.borders.length];break}}}else{if(o>1){for(k=0;k<e.borders.length;k++){if(l==e.borders[k]){l=e.borders[(k+1+e.borders.length)%e.borders.length];break}}}}}r=l.point1.coords;n=l.point2.coords;m=r.distance(JXG.COORDS_BY_USER,n);r=r.usrCoords.slice(0);n=n.usrCoords.slice(0);if(m<JXG.Math.eps){this.coords.setCoordinates(JXG.COORDS_BY_USER,r);this.position=0}else{this.coords=JXG.Math.Geometry.projectPointToLine(this,l,this.board);if(Math.abs(n[0])<JXG.Math.eps){k=1;m=n[k];if(Math.abs(m)<JXG.Math.eps){k=2;m=n[k]}m=(this.coords.usrCoords[k]-r[k])/m;j=(m>=0)?1:-1;m=Math.abs(m);this.position=j*m/(m+1)}else{if(Math.abs(r[0])<JXG.Math.eps){k=1;m=r[k];if(Math.abs(m)<JXG.Math.eps){k=2;m=r[k]}m=(this.coords.usrCoords[k]-n[k])/m;if(m<0){this.position=(1-2*m)/(1-m)}else{this.position=1/(m+1)}}else{k=1;m=n[k]-r[k];if(Math.abs(m)<JXG.Math.eps){k=2;m=n[k]-r[k]}this.position=(this.coords.usrCoords[k]-r[k])/m}}}if(this.visProp.snapwidth>0&&Math.abs(this._smax-this._smin)>=JXG.Math.eps){if(this.position<0){this.position=0}if(this.position>1){this.position=1}q=this.position*(this._smax-this._smin)+this._smin;q=Math.round(q/this.visProp.snapwidth)*this.visProp.snapwidth;this.position=(q-this._smin)/(this._smax-this._smin);this.update(true)}r=l.point1.coords.usrCoords;if(!l.visProp.straightfirst&&Math.abs(r[0])>JXG.Math.eps&&this.position<0){this.coords.setCoordinates(JXG.COORDS_BY_USER,r);this.position=0}n=l.point2.coords.usrCoords;if(!l.visProp.straightlast&&Math.abs(n[0])>JXG.Math.eps&&this.position>1){this.coords.setCoordinates(JXG.COORDS_BY_USER,n);this.position=1}}else{if(l.type==JXG.OBJECT_TYPE_TURTLE){this.updateConstraint();this.coords=JXG.Math.Geometry.projectPointToTurtle(this,l,this.board)}else{if(l.elementClass==JXG.OBJECT_CLASS_CURVE){if(l.type==JXG.OBJECT_TYPE_ARC||l.type==JXG.OBJECT_TYPE_SECTOR){this.coords=JXG.Math.Geometry.projectPointToCircle(this,l,this.board);g=JXG.Math.Geometry.rad(l.radiuspoint,l.center,this);h=0;p=JXG.Math.Geometry.rad(l.radiuspoint,l.center,l.anglepoint);this.position=g;if((l.visProp.type=="minor"&&p>Math.PI)||(l.visProp.type=="major"&&p<Math.PI)){h=p;p=2*Math.PI}if(g<h||g>p){this.position=p;if((g<h&&g>h*0.5)||(g>p&&g>p*0.5+Math.PI)){this.position=h}this.updateGliderFromParent()}}else{this.updateConstraint();this.coords=JXG.Math.Geometry.projectPointToCurve(this,l,this.board)}}else{if(l.elementClass==JXG.OBJECT_CLASS_POINT){this.coords=JXG.Math.Geometry.projectPointToPoint(this,l,this.board)}}}}}},updateGliderFromParent:function(){var e,g,h,f,d=this.slideObject,i;if(d.elementClass==JXG.OBJECT_CLASS_CIRCLE){h=d.Radius();this.coords.setCoordinates(JXG.COORDS_BY_USER,[d.center.X()+h*Math.cos(this.position),d.center.Y()+h*Math.sin(this.position)])}else{if(d.elementClass==JXG.OBJECT_CLASS_LINE){e=d.point1.coords.usrCoords;g=d.point2.coords.usrCoords;if(Math.abs(g[0])<JXG.Math.eps){f=Math.min(Math.abs(this.position),1-JXG.Math.eps);f/=(1-f);if(this.position<0){f*=-1}this.coords.setCoordinates(JXG.COORDS_BY_USER,[e[0]+f*g[0],e[1]+f*g[1],e[2]+f*g[2]])}else{if(Math.abs(e[0])<JXG.Math.eps){f=Math.max(this.position,JXG.Math.eps);f=Math.min(f,2-JXG.Math.eps);if(f>1){f=(f-1)/(f-2)}else{f=(1-f)/f}this.coords.setCoordinates(JXG.COORDS_BY_USER,[g[0]+f*e[0],g[1]+f*e[1],g[2]+f*e[2]])}else{f=this.position;this.coords.setCoordinates(JXG.COORDS_BY_USER,[e[0]+f*(g[0]-e[0]),e[1]+f*(g[1]-e[1]),e[2]+f*(g[2]-e[2])])}}}else{if(d.type==JXG.OBJECT_TYPE_TURTLE){this.coords.setCoordinates(JXG.COORDS_BY_USER,[d.Z(this.position),d.X(this.position),d.Y(this.position)]);this.updateConstraint();this.coords=JXG.Math.Geometry.projectPointToTurtle(this,d,this.board)}else{if(d.elementClass==JXG.OBJECT_CLASS_CURVE){this.coords.setCoordinates(JXG.COORDS_BY_USER,[d.Z(this.position),d.X(this.position),d.Y(this.position)]);if(d.type==JXG.OBJECT_TYPE_ARC||d.type==JXG.OBJECT_TYPE_SECTOR){i=JXG.Math.Geometry.rad([d.center.X()+1,d.center.Y()],d.center,d.radiuspoint);h=d.Radius();this.coords.setCoordinates(JXG.COORDS_BY_USER,[d.center.X()+h*Math.cos(this.position+i),d.center.Y()+h*Math.sin(this.position+i)])}else{this.updateConstraint();this.coords=JXG.Math.Geometry.projectPointToCurve(this,d,this.board)}}else{if(d.elementClass==JXG.OBJECT_CLASS_POINT){this.coords=JXG.Math.Geometry.projectPointToPoint(this,d,this.board)}}}}}},updateRenderer:function(){if(!this.needsUpdate){return this}if(this.visProp.visible&&this.visProp.size>0){var d=this.isReal;this.isReal=(!isNaN(this.coords.usrCoords[1]+this.coords.usrCoords[2]));this.isReal=(Math.abs(this.coords.usrCoords[0])>JXG.Math.eps)?this.isReal:false;if(this.isReal){if(d!=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(d!=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.visProp.visible&&this.label.content&&this.label.content.visProp.visible&&this.isReal){this.label.content.update();this.board.renderer.updateText(this.label.content)}this.needsUpdate=false;return this},X:function(){return this.coords.usrCoords[1]},Y:function(){return this.coords.usrCoords[2]},Z:function(){return this.coords.usrCoords[0]},XEval:function(){return this.coords.usrCoords[1]},YEval:function(){return this.coords.usrCoords[2]},ZEval:function(){return this.coords.usrCoords[0]},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},Dist:function(e){var g,i=e.coords.usrCoords,d=this.coords.usrCoords,h;h=d[0]-i[0];g=h*h;h=d[1]-i[1];g+=h*h;h=d[2]-i[2];g+=h*h;return Math.sqrt(g)},snapToGrid:function(){return this.handleSnapToGrid()},handleSnapToGrid:function(){var d,g,f=this.visProp.snapsizex,e=this.visProp.snapsizey;if(this.visProp.snaptogrid){d=this.coords.usrCoords[1];g=this.coords.usrCoords[2];if(f<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks){f=this.board.defaultAxes.x.defaultTicks.ticksDelta*(this.board.defaultAxes.x.defaultTicks.visProp.minorticks+1)}if(e<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks){e=this.board.defaultAxes.y.defaultTicks.ticksDelta*(this.board.defaultAxes.y.defaultTicks.visProp.minorticks+1)}if(f>0&&e>0){this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[Math.round(d/f)*f,Math.round(g/e)*e],this.board)}}return this},handleSnapToPoints:function(){var g,j,e,h=0,f=Infinity,i=null;if(this.visProp.snaptopoints){for(g in this.board.objects){j=this.board.objects[g];if(j.elementClass==JXG.OBJECT_CLASS_POINT&&j!==this&&j.visProp.visible){e=JXG.Math.Geometry.projectPointToPoint(this,j,this.board);h=e.distance(JXG.COORDS_BY_USER,this.coords);if(h<this.visProp.attractordistance&&h<f){f=h;i=e}}}if(i!=null){this.coords.setCoordinates(JXG.COORDS_BY_USER,i.usrCoords)}}return this},handleAttractors:function(){var e=this.visProp.attractors.length,g,h,f,j=0;if(this.visProp.attractordistance==0){return}for(g=0;g<e;g++){h=JXG.getRef(this.board,this.visProp.attractors[g]);if(!JXG.exists(h)||h===this){continue}if(h.elementClass==JXG.OBJECT_CLASS_POINT){f=JXG.Math.Geometry.projectPointToPoint(this,h,this.board)}else{if(h.elementClass==JXG.OBJECT_CLASS_LINE){f=JXG.Math.Geometry.projectPointToLine(this,h,this.board)}else{if(h.elementClass==JXG.OBJECT_CLASS_CIRCLE){f=JXG.Math.Geometry.projectPointToCircle(this,h,this.board)}else{if(h.elementClass==JXG.OBJECT_CLASS_CURVE){f=JXG.Math.Geometry.projectPointToCurve(this,h,this.board)}else{if(h.type==JXG.OBJECT_TYPE_TURTLE){f=JXG.Math.Geometry.projectPointToTurtle(this,h,this.board)}}}}}j=f.distance(JXG.COORDS_BY_USER,this.coords);if(j<this.visProp.attractordistance){found=true;if(!(this.type==JXG.OBJECT_TYPE_GLIDER&&this.slideObject==h)){this.makeGlider(h)}break}else{if(h==this.slideObject&&j>=this.visProp.snatchdistance){this.type=JXG.OBJECT_TYPE_POINT}}}return this},setPositionDirectly:function(d,j){var g,n,m,l,f,e,h=this.coords,k;this.coords=new JXG.Coords(d,j,this.board);this.handleSnapToGrid();this.handleSnapToPoints();this.handleAttractors();if(this.group.length!=0){n=this.coords.usrCoords[1]-h.usrCoords[1];m=this.coords.usrCoords[2]-h.usrCoords[2];l=this.coords.usrCoords[0]=h.usrCoords[0];for(g=0;g<this.group.length;g++){for(f in this.group[g].objects){e=this.group[g].objects[f];e.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,[e.initialCoords.usrCoords[0]+l,e.initialCoords.usrCoords[1]+n,e.initialCoords.usrCoords[2]+m],this.board)}}this.group[this.group.length-1].dX=n;this.group[this.group.length-1].dY=m;this.group[this.group.length-1].dZ=l;this.group[this.group.length-1].update(this)}else{for(g=this.transformations.length-1;g>=0;g--){if(d===JXG.COORDS_BY_SCREEN){k=(new JXG.Coords(d,j,this.board)).usrCoords}else{if(j.length===2){j=[1].concat(j)}k=j}this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,JXG.Math.matVecMult(JXG.Math.inverse(this.transformations[g].matrix),k),this.board)}this.update()}return this},setPositionByTransform:function(f,d){var e;d=new JXG.Coords(f,d,this.board);e=this.board.create("transform",d.usrCoords.slice(1),{type:"translate"});if(this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix){this.transformations[this.transformations.length-1].melt(e)}else{this.addTransform(this,e)}if(this.group.length==0){this.update()}return this},setPosition:function(e,d){return this.setPositionDirectly(e,d)},setGliderPosition:function(d){if(this.type=JXG.OBJECT_TYPE_GLIDER){this.position=d;this.board.update()}return this},makeGlider:function(d){this.slideObject=JXG.getRef(this.board,d);this.type=JXG.OBJECT_TYPE_GLIDER;this.elType="glider";this.visProp.snapwidth=-1;this.slideObject.addChild(this);this.isDraggable=true;this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)};this.updateGlider();return this},free:function(){var d;if(this.type!==JXG.OBJECT_TYPE_GLIDER){if(!this.isDraggable){this.isDraggable=true;this.type=JXG.OBJECT_TYPE_POINT;this.XEval=function(){return this.coords.usrCoords[1]};this.YEval=function(){return this.coords.usrCoords[2]};this.ZEval=function(){return this.coords.usrCoords[0]};this.Xjc=null;this.Yjc=null}else{return}}for(d in this.ancestors){delete this.ancestors[d].descendants[this.id];delete this.ancestors[d].childElements[this.id]}this.ancestors=[];this.slideObject=null;this.elType="point";this.type=JXG.OBJECT_TYPE_POINT},addConstraint:function(h){this.type=JXG.OBJECT_TYPE_CAS;var k=[],d,g,e,f,j=["X","Y"];this.isDraggable=false;for(g=0;g<h.length;g++){e=h[g];if(typeof e=="string"){k[g]=this.board.jc.snippet(e,true,null,true);if(h.length===2){this[j[g]+"jc"]=h[g]}}else{if(typeof e=="function"){k[g]=e}else{if(typeof e=="number"){k[g]=function(i){return function(){return i}}(e)}else{if(typeof e=="object"&&typeof e.Value=="function"){k[g]=(function(i){return function(){return i.Value()}})(e)}}}}k[g].origin=e}if(h.length==1){this.updateConstraint=function(){var i=k[0]();if(JXG.isArray(i)){this.coords.setCoordinates(JXG.COORDS_BY_USER,i)}else{this.coords=i}}}else{if(h.length==2){this.XEval=k[0];this.YEval=k[1];d="this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.XEval(),this.YEval()]);";this.updateConstraint=new Function("",d)}else{this.ZEval=k[0];this.XEval=k[1];this.YEval=k[2];d="this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()]);";this.updateConstraint=new Function("",d)}}if(!this.board.isSuspendedUpdate){this.prepareUpdate().update().updateRenderer()}return this},updateTransform:function(){if(this.transformations.length==0||this.baseElement==null){return this}var e,d;if(this===this.baseElement){e=this.transformations[0].apply(this.baseElement,"self")}else{e=this.transformations[0].apply(this.baseElement)}this.coords.setCoordinates(JXG.COORDS_BY_USER,e);for(d=1;d<this.transformations.length;d++){this.coords.setCoordinates(JXG.COORDS_BY_USER,this.transformations[d].apply(this))}return this},addTransform:function(g,e){var f,h=JXG.isArray(e)?e:[e],d=h.length;if(this.transformations.length===0){this.baseElement=g}for(f=0;f<d;f++){this.transformations.push(h[f])}return this},startAnimation:function(d,e){if((this.type==JXG.OBJECT_TYPE_GLIDER)&&(typeof this.intervalCode=="undefined")){this.intervalCode=window.setInterval("JXG.JSXGraph.boards['"+this.board.id+"'].objects['"+this.id+"']._anim("+d+", "+e+")",250);if(typeof this.intervalCount=="undefined"){this.intervalCount=0}}return this},stopAnimation:function(){if(typeof this.intervalCode!="undefined"){window.clearInterval(this.intervalCode);delete (this.intervalCode)}return this},moveAlong:function(m,e,n){n=n||{};var l=[],h=this.board.options.animationDelay,j=function(p,o){return function(){return m[p][o]}},d=[],g,f,k=e/h;if(JXG.isArray(m)){for(g=0;g<m.length;g++){if(JXG.isPoint(m[g])){d[g]=m[g]}else{d[g]={elementClass:JXG.OBJECT_CLASS_POINT,X:j(g,0),Y:j(g,1)}}}e=e||0;if(e===0){this.setPosition(JXG.COORDS_BY_USER,[d[d.length-1].X(),d[d.length-1].Y()]);return this.board.update(this)}f=JXG.Math.Numerics.Neville(d);for(g=0;g<k;g++){l[g]=[];l[g][0]=f[0]((k-g)/k*f[3]());l[g][1]=f[1]((k-g)/k*f[3]())}this.animationPath=l}else{if(JXG.isFunction(m)){this.animationPath=m;this.animationStart=new Date().getTime()}}this.animationCallback=n.callback;this.board.addAnimation(this);return this},moveTo:function(k,f,p){k=new JXG.Coords(JXG.COORDS_BY_USER,k,this.board);if(typeof f=="undefined"||f==0||(Math.abs(k.usrCoords[0]-this.coords.usrCoords[0])>JXG.Math.eps)){this.setPosition(JXG.COORDS_BY_USER,k.usrCoords);return this.board.update(this)}p=p||{};var l=this.board.options.animationDelay,m=Math.ceil(f/(l*1)),n=new Array(m+1),e=this.coords.usrCoords[1],d=this.coords.usrCoords[2],h=(k.usrCoords[1]-e),g=(k.usrCoords[2]-d),j,o=function(q){if(p.effect&&p.effect=="<>"){return Math.pow(Math.sin((q/(m*1))*Math.PI/2),2)}return q/m};if(Math.abs(h)<JXG.Math.eps&&Math.abs(g)<JXG.Math.eps){return this}for(j=m;j>=0;j--){n[m-j]=[k.usrCoords[0],e+h*o(j),d+g*o(j)]}this.animationPath=n;this.animationCallback=p.callback;this.board.addAnimation(this);return this},visit:function(m,f,r){if(typeof r=="number"){r={repeat:r}}else{r=r||{};if(typeof r.repeat=="undefined"){r.repeat=1}}var n=this.board.options.animationDelay,o=Math.ceil(f/(n*r.repeat)),p=new Array(r.repeat*(o+1)),e=this.coords.usrCoords[1],d=this.coords.usrCoords[2],k=(m[0]-e),g=(m[1]-d),l,h,q=function(s){var j=(s<o/2?2*s/o:2*(o-s)/o);if(r.effect&&r.effect=="<>"){return Math.pow(Math.sin((j)*Math.PI/2),2)}return j};for(h=0;h<r.repeat;h++){for(l=o;l>=0;l--){p[h*(o+1)+o-l]=[m[0],e+k*q(l),d+g*q(l)]}}this.animationPath=p;this.animationCallback=r.callback;this.board.addAnimation(this);return this},_anim:function(n,i){var e,l,j,h,g,f,m=1,d,k;this.intervalCount++;if(this.intervalCount>i){this.intervalCount=0}if(this.slideObject.elementClass==JXG.OBJECT_CLASS_LINE){e=this.slideObject.point1.coords.distance(JXG.COORDS_BY_SCREEN,this.slideObject.point2.coords);l=this.slideObject.getSlope();if(l!="INF"){g=Math.atan(l);j=Math.round((this.intervalCount/i)*e*Math.cos(g));h=Math.round((this.intervalCount/i)*e*Math.sin(g))}else{j=0;h=Math.round((this.intervalCount/i)*e)}if(n<0){f=this.slideObject.point2;if(this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]>0){m=-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){m=-1}}}}else{f=this.slideObject.point1;if(this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]>0){m=-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){m=-1}}}}this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[f.coords.scrCoords[1]+m*j,f.coords.scrCoords[2]+m*h])}else{if(this.slideObject.elementClass==JXG.OBJECT_CLASS_CURVE){if(n>0){d=Math.round(this.intervalCount/i*this.board.canvasWidth)}else{d=Math.round((i-this.intervalCount)/i*this.board.canvasWidth)}this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[d,0]);this.coords=JXG.Math.Geometry.projectPointToCurve(this,this.slideObject,this.board)}else{if(this.slideObject.elementClass==JXG.OBJECT_CLASS_CIRCLE){if(n<0){g=this.intervalCount/i*2*Math.PI}else{g=(i-this.intervalCount)/i*2*Math.PI}k=this.slideObject.Radius();this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+k*Math.cos(g),this.slideObject.center.coords.usrCoords[2]+k*Math.sin(g)])}}}this.board.update(this);return this},setStyle:function(d){var e=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"],f=[2,3,4,1,2,3,4,2,3,4,2,3,4];this.visProp.face=e[d];this.visProp.size=f[d];this.board.renderer.changePointStyle(this);return this},normalizeFace:function(d){var e={cross:"x",x:"x",circle:"o",o:"o",square:"[]","[]":"[]",plus:"+","+":"+",diamond:"<>","<>":"<>",triangleup:"^",a:"^","^":"^",triangledown:"v",v:"v",triangleleft:"<","<":"<",triangleright:">",">":">"};return e[d]},remove:function(){if(this.hasLabel){this.board.renderer.remove(this.board.renderer.getElementById(this.label.content.id))}this.board.renderer.remove(this.board.renderer.getElementById(this.id))},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},face:function(d){this.setProperty({face:d})},size:function(d){this.setProperty({size:d})},cloneToBackground:function(){var d={};d.id=this.id+"T"+this.numTraces;this.numTraces++;d.coords=this.coords;d.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,true);d.visProp.layer=this.board.options.layer.trace;d.elementClass=JXG.OBJECT_CLASS_POINT;d.board=this.board;JXG.clearVisPropOld(d);this.board.renderer.drawPoint(d);this.traces[d.id]=d.rendNode;return this},getParents:function(){var d=[this.Z(),this.X(),this.Y()];if(this.parents){d=this.parents}if(this.type==JXG.OBJECT_TYPE_GLIDER){d=[this.X(),this.Y(),this.slideObject.id]}return d}});JXG.createPoint=function(k,g,f){var j,e=false,h,d;d=JXG.copyAttributes(f,k.options,"point");for(h=0;h<g.length;h++){if(typeof g[h]=="function"||typeof g[h]=="string"){e=true}}if(!e){if((JXG.isNumber(g[0]))&&(JXG.isNumber(g[1]))){j=new JXG.Point(k,g,d);if(JXG.exists(d.slideobject)){j.makeGlider(d.slideobject)}else{j.baseElement=j}j.isDraggable=true}else{if((typeof g[0]=="object")&&(typeof g[1]=="object")){j=new JXG.Point(k,[0,0],d);j.addTransform(g[0],g[1]);j.isDraggable=false;j.parents=[g[0].id,g[1].id]}else{throw new Error("JSXGraph: Can't create point with parent types '"+(typeof g[0])+"' and '"+(typeof g[1])+"'.\nPossible parent types: [x,y], [z,x,y], [point,transformation]")}}}else{j=new JXG.Point(k,[NaN,NaN],d);j.addConstraint(g)}return j};JXG.createGlider=function(h,f,e){var g,d=JXG.copyAttributes(e,h.options,"glider");if(f.length===1){g=h.create("point",[0,0],d)}else{g=h.create("point",f.slice(0,2),d)}g.makeGlider(f[f.length-1]);return g};JXG.createIntersectionPoint=function(h,f,d){var g;f.push(0,0);g=h.create("point",[h.intersection(f[0],f[1],f[2],f[3])],d);try{f[0].addChild(g);f[1].addChild(g)}catch(i){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.")}g.elType="intersection";g.parents=[f[0].id,f[1].id,f[2]];if(f[3]!=null){g.parents.push(f[3])}g.generatePolynomial=function(){var e=f[0].generatePolynomial(g);var j=f[1].generatePolynomial(g);if((e.length==0)||(j.length==0)){return[]}else{return[e[0],j[0]]}};return g};JXG.createOtherIntersectionPoint=function(g,e,d){var f;if(e.length!=3||!JXG.isPoint(e[2])||(e[0].elementClass!=JXG.OBJECT_CLASS_LINE&&e[0].elementClass!=JXG.OBJECT_CLASS_CIRCLE)||(e[1].elementClass!=JXG.OBJECT_CLASS_LINE&&e[1].elementClass!=JXG.OBJECT_CLASS_CIRCLE)){throw new Error("JSXGraph: Can't create 'other intersection point' with parent types '"+(typeof e[0])+"',  '"+(typeof e[1])+"'and  '"+(typeof e[2])+"'.\nPossible parent types: [circle|line,circle|line,point]")}else{f=g.create("point",[g.otherIntersection(e[0],e[1],e[2])],d)}f.elType="otherintersection";f.parents=[e[0].id,e[1].id,e[2]];e[0].addChild(f);e[1].addChild(f);f.generatePolynomial=function(){var h=e[0].generatePolynomial(f);var i=e[1].generatePolynomial(f);if((h.length==0)||(i.length==0)){return[]}else{return[h[0],i[0]]}};return f};JXG.JSXGraph.registerElement("point",JXG.createPoint);JXG.JSXGraph.registerElement("glider",JXG.createGlider);JXG.JSXGraph.registerElement("intersection",JXG.createIntersectionPoint);JXG.JSXGraph.registerElement("otherintersection",JXG.createOtherIntersectionPoint);JXG.Line=function(e,g,f,d){this.constructor(e,d,JXG.OBJECT_TYPE_LINE,JXG.OBJECT_CLASS_LINE);this.point1=JXG.getReference(this.board,g);this.point2=JXG.getReference(this.board,f);this.ticks=[];this.defaultTicks=null;this.parentPolygon=null;this.id=this.board.setId(this,"L");this.board.renderer.drawLine(this);this.board.finalizeAdding(this);this.elType="line";this.createLabel();this.point1.addChild(this);this.point2.addChild(this);this.updateStdform()};JXG.Line.prototype=new JXG.GeometryElement;JXG.extend(JXG.Line.prototype,{hasPoint:function(l,k){var h=[],o,n=[1,l,k],m,p,g,f,j,e;h[0]=this.stdform[0]-this.stdform[1]*this.board.origin.scrCoords[1]/this.board.unitX+this.stdform[2]*this.board.origin.scrCoords[2]/this.board.unitY;h[1]=this.stdform[1]/this.board.unitX;h[2]=this.stdform[2]/(-this.board.unitY);m=[0,h[1],h[2]];m=JXG.Math.crossProduct(m,n);m=JXG.Math.crossProduct(m,h);m[1]/=m[0];m[2]/=m[0];m[0]=1;o=(n[1]-m[1])*(n[1]-m[1])+(n[2]-m[2])*(n[2]-m[2]);if(isNaN(o)||o>this.board.options.precision.hasPoint*this.board.options.precision.hasPoint){return false}if(this.visProp.straightfirst&&this.visProp.straightlast){return true}else{p=this.point1.coords;g=this.point2.coords;m=(new JXG.Coords(JXG.COORDS_BY_SCREEN,m.slice(1),this.board)).usrCoords;f=p.distance(JXG.COORDS_BY_USER,g);p=p.usrCoords.slice(0);g=g.usrCoords.slice(0);if(f<JXG.Math.eps){j=0}else{if(f==Number.POSITIVE_INFINITY){f=1/JXG.Math.eps;if(Math.abs(g[0])<JXG.Math.eps){f/=JXG.Math.Geometry.distance([0,0,0],g);g=[1,p[1]+g[1]*f,p[2]+g[2]*f]}else{f/=JXG.Math.Geometry.distance([0,0,0],p);p=[1,g[1]+p[1]*f,g[2]+p[2]*f]}}e=1;f=g[e]-p[e];if(Math.abs(f)<JXG.Math.eps){e=2;f=g[e]-p[e]}j=(m[e]-p[e])/f}if(!this.visProp.straightfirst&&j<0){return false}if(!this.visProp.straightlast&&j>1){return false}return true}},update:function(){var d;if(!this.needsUpdate){return this}if(this.constrained){if(typeof this.funps!="undefined"){d=this.funps();if(d&&d.length&&d.length===2){this.point1=d[0];this.point2=d[1]}}else{if(typeof this.funp1==="function"){d=this.funp1();if(JXG.isPoint(d)){this.point1=d}else{if(d&&d.length&&d.length===2){this.point1.setPositionDirectly(JXG.COORDS_BY_USER,d)}}}if(typeof this.funp2==="function"){d=this.funp2();if(JXG.isPoint(d)){this.point2=d}else{if(d&&d.length&&d.length===2){this.point2.setPositionDirectly(JXG.COORDS_BY_USER,d)}}}}}this.updateSegmentFixedLength();this.updateStdform();if(this.visProp.trace){this.cloneToBackground(true)}return this},updateSegmentFixedLength:function(){var k,f,j,i,h,g,e,l;if(!this.hasFixedLength){return this}k=this.point1.Dist(this.point2);f=this.fixedLength();j=this.fixedLengthOldCoords[0].distance(JXG.COORDS_BY_USER,this.point1.coords);i=this.fixedLengthOldCoords[1].distance(JXG.COORDS_BY_USER,this.point2.coords);if(j>JXG.Math.eps||i>JXG.Math.eps||k!=f){h=this.point1.isDraggable&&(this.point1.type!=JXG.OBJECT_TYPE_GLIDER)&&!this.point1.visProp.fixed;g=this.point2.isDraggable&&(this.point2.type!=JXG.OBJECT_TYPE_GLIDER)&&!this.point2.visProp.fixed;if(k>JXG.Math.eps){if((j>i&&g)||(j<=i&&g&&!h)){this.point2.setPositionDirectly(JXG.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*f/k,this.point1.Y()+(this.point2.Y()-this.point1.Y())*f/k]);this.point2.prepareUpdate().updateRenderer()}else{if((j<=i&&h)||(j>i&&h&&!g)){this.point1.setPositionDirectly(JXG.COORDS_BY_USER,[this.point2.X()+(this.point1.X()-this.point2.X())*f/k,this.point2.Y()+(this.point1.Y()-this.point2.Y())*f/k]);this.point1.prepareUpdate().updateRenderer()}}}else{e=Math.random()-0.5;l=Math.random()-0.5;k=Math.sqrt(e*e+l*l);if(g){this.point2.setPositionDirectly(JXG.COORDS_BY_USER,[this.point1.X()+e*f/k,this.point1.Y()+l*f/k]);this.point2.prepareUpdate().updateRenderer()}else{if(h){this.point1.setPositionDirectly(JXG.COORDS_BY_USER,[this.point2.X()+e*f/k,this.point2.Y()+l*f/k]);this.point1.prepareUpdate().updateRenderer()}}}this.fixedLengthOldCoords[0].setCoordinates(JXG.COORDS_BY_USER,this.point1.coords.usrCoords);this.fixedLengthOldCoords[1].setCoordinates(JXG.COORDS_BY_USER,this.point2.coords.usrCoords)}return this},updateStdform:function(){var d=JXG.Math.crossProduct(this.point1.coords.usrCoords,this.point2.coords.usrCoords);this.stdform[0]=d[0];this.stdform[1]=d[1];this.stdform[2]=d[2];this.stdform[3]=0;this.normalize()},updateRenderer:function(){var d;if(this.needsUpdate&&this.visProp.visible){d=this.isReal;this.isReal=(!isNaN(this.point1.coords.usrCoords[1]+this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[1]+this.point2.coords.usrCoords[2])&&(JXG.Math.innerProduct(this.stdform,this.stdform,3)>=JXG.Math.eps*JXG.Math.eps));if(this.isReal){if(d!=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.updateLine(this)}else{if(d!=this.isReal){this.board.renderer.hide(this);if(this.hasLabel&&this.label.content.visProp.visible){this.board.renderer.hide(this.label.content)}}}this.needsUpdate=false}if(this.hasLabel&&this.label.content.visProp.visible&&this.isReal){this.label.content.update();this.board.renderer.updateText(this.label.content)}return this},generatePolynomial:function(h){var g=this.point1.symbolic.x,f=this.point1.symbolic.y,j=this.point2.symbolic.x,i=this.point2.symbolic.y,e=h.symbolic.x,d=h.symbolic.y;return[["(",f,")*(",e,")-(",f,")*(",j,")+(",d,")*(",j,")-(",g,")*(",d,")+(",g,")*(",i,")-(",e,")*(",i,")"].join("")]},getRise:function(){if(Math.abs(this.stdform[2])>=JXG.Math.eps){return -this.stdform[0]/this.stdform[2]}else{return Infinity}},getSlope:function(){if(Math.abs(this.stdform[2])>=JXG.Math.eps){return -this.stdform[1]/this.stdform[2]}else{return Infinity}},getAngle:function(){return Math.atan2(this.point2.Y()-this.point1.Y(),this.point2.X()-this.point1.X())},setStraight:function(d,e){this.visProp.straightfirst=d;this.visProp.straightlast=e;this.board.renderer.updateLine(this);return this},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)},setLabelRelativeCoords:function(d){if(JXG.exists(this.label.content)){this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[d[0],-d[1]],this.board)}},getLabelAnchor:function(){var e,j,d=0,i=0,h=0,g=new JXG.Coords(JXG.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),f=new JXG.Coords(JXG.COORDS_BY_USER,this.point2.coords.usrCoords,this.board);if(this.visProp.straightfirst||this.visProp.straightlast){JXG.Math.Geometry.calcStraight(this,g,f,0)}g=g.scrCoords;f=f.scrCoords;switch(this.label.content.visProp.position){case"lft":case"llft":case"ulft":if(g[1]<=f[1]){e=g[1];j=g[2]}else{e=f[1];j=f[2]}break;case"rt":case"lrt":case"urt":if(g[1]>f[1]){e=g[1];j=g[2]}else{e=f[1];j=f[2]}break;default:e=0.5*(g[1]+f[1]);j=0.5*(g[2]+f[2])}if(this.visProp.straightfirst||this.visProp.straightlast){if(JXG.exists(this.label.content)){i=parseFloat(this.label.content.visProp.offset[0]);h=parseFloat(this.label.content.visProp.offset[1]);d=this.label.content.visProp.fontsize}if(Math.abs(e)<JXG.Math.eps){e=i}else{if(this.board.canvasWidth+JXG.Math.eps>e&&e>this.board.canvasWidth-d-JXG.Math.eps){e=this.board.canvasWidth-i-d}else{e+=i}}if(JXG.Math.eps+d>j&&j>-JXG.Math.eps){j=h+d}else{if(this.board.canvasHeight+JXG.Math.eps>j&&j>this.board.canvasHeight-d-JXG.Math.eps){j=this.board.canvasHeight-h}else{j+=h}}}return new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,j],this.board)},cloneToBackground:function(){var g={},e,d,f;g.id=this.id+"T"+this.numTraces;g.elementClass=JXG.OBJECT_CLASS_LINE;this.numTraces++;g.point1=this.point1;g.point2=this.point2;g.stdform=this.stdform;g.board=this.board;g.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,true);g.visProp.layer=this.board.options.layer.trace;JXG.clearVisPropOld(g);d=this.getSlope();e=this.getRise();g.getSlope=function(){return d};g.getRise=function(){return e};f=this.board.renderer.enhancedRendering;this.board.renderer.enhancedRendering=true;this.board.renderer.drawLine(g);this.board.renderer.enhancedRendering=f;this.traces[g.id]=g.rendNode;delete g;return this},addTransform:function(e){var f,g=JXG.isArray(e)?e:[e],d=g.length;for(f=0;f<d;f++){this.point1.transformations.push(g[f]);this.point2.transformations.push(g[f])}return this},setPosition:function(f,d){var e;d=new JXG.Coords(f,d,this.board);e=this.board.create("transform",d.usrCoords.slice(1),{type:"translate"});if(this.point1.transformations.length>0&&this.point1.transformations[this.point1.transformations.length-1].isNumericMatrix){this.point1.transformations[this.point1.transformations.length-1].melt(e)}else{this.point1.addTransform(this.point1,e)}if(this.point2.transformations.length>0&&this.point2.transformations[this.point2.transformations.length-1].isNumericMatrix){this.point2.transformations[this.point2.transformations.length-1].melt(e)}else{this.point2.addTransform(this.point2,e)}return this},setPositionDirectly:function(j,h,g){var d,e,i=new JXG.Coords(j,h,this.board),f=new JXG.Coords(j,g,this.board);if(!this.point1.draggable()||!this.point2.draggable()){return this}d=JXG.Math.Statistics.subtract(i.usrCoords,f.usrCoords);e=this.board.create("transform",d.slice(1),{type:"translate"});e.applyOnce([this.point1,this.point2]);return this},snapToGrid:function(){if(this.visProp.snaptogrid){this.point1.snapToGrid();this.point2.snapToGrid()}return this},X:function(f){var e=this.stdform[2],d;d=(Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps)?this.point1.coords.usrCoords[1]:this.point2.coords.usrCoords[1];f=(f-0.5)*2;if(f<0){f*=(-1);return(1-f)*d+f*e}else{return(1-f)*d-f*e}},Y:function(e){var d=this.stdform[1],f;f=(Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps)?this.point1.coords.usrCoords[2]:this.point2.coords.usrCoords[2];e=(e-0.5)*2;if(e<0){e*=(-1);return(1-e)*f-e*d}else{return(1-e)*f+e*d}},Z:function(d){var e=(Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps)?this.point1.coords.usrCoords[0]:this.point2.coords.usrCoords[0];d=(d-0.5)*2;if(d<0){d*=(-1)}return(1-d)*e},L:function(){return this.point1.Dist(this.point2)},minX:function(){return 0},maxX:function(){return 1},bounds:function(){var d=this.point1.coords.usrCoords,e=this.point2.coords.usrCoords;return[Math.min(d[1],e[1]),Math.max(d[2],e[2]),Math.max(d[1],e[1]),Math.min(d[2],e[2])]},addTicks:function(d){if(d.id==""||typeof d.id=="undefined"){d.id=this.id+"_ticks_"+(this.ticks.length+1)}this.board.renderer.drawTicks(d);this.ticks.push(d);return d.id},remove:function(){this.removeAllTicks();JXG.GeometryElement.prototype.remove.call(this)},removeAllTicks:function(){var e,d;for(d=this.ticks.length;d>0;d--){this.removeTicks(this.ticks[d-1])}this.ticks=new Array();this.board.update()},removeTicks:function(f){var e,d;if(this.defaultTicks!=null&&this.defaultTicks==f){this.defaultTicks=null}for(e=this.ticks.length;e>0;e--){if(this.ticks[e-1]==f){this.board.removeObject(this.ticks[e-1]);for(d=0;d<this.ticks[e-1].ticks.length;d++){if(this.ticks[e-1].labels[d]!=null){this.board.removeObject(this.ticks[e-1].labels[d])}}delete (this.ticks[e-1]);break}}},hideElement:function(){var d;JXG.GeometryElement.prototype.hideElement.call(this);for(d=0;d<this.ticks.length;d++){this.ticks[d].hideElement()}},showElement:function(){var d;JXG.GeometryElement.prototype.showElement.call(this);for(d=0;d<this.ticks.length;d++){this.ticks[d].showElement()}}});JXG.createLine=function(k,n,h){var f,p,o,j,l,m=[],g=false,e;if(n.length==2){if(JXG.isArray(n[0])&&n[0].length>1){l=JXG.copyAttributes(h,k.options,"line","point1");p=k.create("point",n[0],l)}else{if(JXG.isString(n[0])||n[0].elementClass==JXG.OBJECT_CLASS_POINT){p=JXG.getReference(k,n[0])}else{if((typeof n[0]=="function")&&(n[0]().elementClass==JXG.OBJECT_CLASS_POINT)){p=n[0]();g=true}else{if((typeof n[0]=="function")&&(n[0]().length&&n[0]().length===2)){l=JXG.copyAttributes(h,k.options,"line","point1");p=JXG.createPoint(k,n[0](),l);g=true}else{throw new Error("JSXGraph: Can't create line with parent types '"+(typeof n[0])+"' and '"+(typeof n[1])+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]")}}}}if(JXG.isArray(n[1])&&n[1].length>1){l=JXG.copyAttributes(h,k.options,"line","point2");o=k.create("point",n[1],l)}else{if(JXG.isString(n[1])||n[1].elementClass==JXG.OBJECT_CLASS_POINT){o=JXG.getReference(k,n[1])}else{if((typeof n[1]=="function")&&(n[1]().elementClass==JXG.OBJECT_CLASS_POINT)){o=n[1]();g=true}else{if((typeof n[1]=="function")&&(n[1]().length&&n[1]().length===2)){l=JXG.copyAttributes(h,k.options,"line","point2");o=JXG.createPoint(k,n[1](),l);g=true}else{throw new Error("JSXGraph: Can't create line with parent types '"+(typeof n[0])+"' and '"+(typeof n[1])+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]")}}}}l=JXG.copyAttributes(h,k.options,"line");f=new JXG.Line(k,p,o,l);if(g){f.constrained=true;f.funp1=n[0];f.funp2=n[1]}else{f.isDraggable=true}if(!f.constrained){f.parents=[p.id,o.id]}}else{if(n.length==3){e=true;for(j=0;j<3;j++){if(typeof n[j]=="number"){m[j]=function(i){return function(){return i}}(n[j])}else{if(typeof n[j]=="function"){m[j]=n[j];e=false}else{throw new Error("JSXGraph: Can't create line with parent types '"+(typeof n[0])+"' and '"+(typeof n[1])+"' and '"+(typeof n[2])+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]")}}}l=JXG.copyAttributes(h,k.options,"line","point1");if(e){p=k.create("point",[m[2]()*m[2]()+m[1]()*m[1](),m[2]()-m[1]()*m[0]()+m[2](),-m[1]()-m[2]()*m[0]()-m[1]()],l)}else{p=k.create("point",[function(){return(0+m[2]()*m[2]()+m[1]()*m[1]())*0.5},function(){return(m[2]()-m[1]()*m[0]()+m[2]())*0.5},function(){return(-m[1]()-m[2]()*m[0]()-m[1]())*0.5}],l)}l=JXG.copyAttributes(h,k.options,"line","point2");if(e){o=k.create("point",[m[2]()*m[2]()+m[1]()*m[1](),-m[1]()*m[0]()+m[2](),-m[2]()*m[0]()-m[1]()],l)}else{o=k.create("point",[function(){return m[2]()*m[2]()+m[1]()*m[1]()},function(){return -m[1]()*m[0]()+m[2]()},function(){return -m[2]()*m[0]()-m[1]()}],l)}p.prepareUpdate().update();o.prepareUpdate().update();l=JXG.copyAttributes(h,k.options,"line");f=new JXG.Line(k,p,o,l);f.isDraggable=e;if(e){f.parents=[m[0](),m[1](),m[2]()]}}else{if((n.length==1)&&(typeof n[0]=="function")&&(n[0]().length==2)&&(n[0]()[0].elementClass==JXG.OBJECT_CLASS_POINT)&&(n[0]()[1].elementClass==JXG.OBJECT_CLASS_POINT)){var d=n[0]();l=JXG.copyAttributes(h,k.options,"line");f=new JXG.Line(k,d[0],d[1],l);f.constrained=true;f.funps=n[0]}else{if((n.length==1)&&(typeof n[0]=="function")&&(n[0]().length==3)&&(typeof n[0]()[0]==="number")&&(typeof n[0]()[1]==="number")&&(typeof n[0]()[2]==="number")){d=n[0];l=JXG.copyAttributes(h,k.options,"line","point1");p=k.create("point",[function(){var i=d();return[(0+i[2]*i[2]+i[1]*i[1])*0.5,(i[2]-i[1]*i[0]+i[2])*0.5,(-i[1]-i[2]*i[0]-i[1])*0.5]}],l);l=JXG.copyAttributes(h,k.options,"line","point2");o=k.create("point",[function(){var i=d();return[i[2]*i[2]+i[1]*i[1],-i[1]*i[0]+i[2],-i[2]*i[0]-i[1]]}],l);l=JXG.copyAttributes(h,k.options,"line");f=new JXG.Line(k,p,o,l);f.constrained=true;f.funps=n[0]}else{throw new Error("JSXGraph: Can't create line with parent types '"+(typeof n[0])+"' and '"+(typeof n[1])+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]")}}}}return f};JXG.JSXGraph.registerElement("line",JXG.createLine);JXG.createSegment=function(h,e,d){var g,f;d.straightFirst=false;d.straightLast=false;g=h.create("line",e.slice(0,2),d);if(e.length==3){g.hasFixedLength=true;if(JXG.isNumber(e[2])){g.fixedLength=function(){return e[2]}}else{if(JXG.isFunction(e[2])){g.fixedLength=e[2]}else{throw new Error("JSXGraph: Can't create segment with third parent type '"+(typeof e[2])+"'.\nPossible third parent types: number or function")}}g.fixedLengthOldCoords=[];g.fixedLengthOldCoords[0]=new JXG.Coords(JXG.COORDS_BY_USER,g.point1.coords.usrCoords.slice(1,3),h);g.fixedLengthOldCoords[1]=new JXG.Coords(JXG.COORDS_BY_USER,g.point2.coords.usrCoords.slice(1,3),h)}g.elType="segment";return g};JXG.JSXGraph.registerElement("segment",JXG.createSegment);JXG.createArrow=function(g,e,d){var f;d.firstArrow=false;d.lastArrow=true;f=g.create("line",e,d).setStraight(false,false);f.type=JXG.OBJECT_TYPE_VECTOR;f.elType="arrow";return f};JXG.JSXGraph.registerElement("arrow",JXG.createArrow);JXG.createAxis=function(i,f,e){var d,h,j;if((JXG.isArray(f[0])||JXG.isPoint(f[0]))&&(JXG.isArray(f[1])||JXG.isPoint(f[1]))){d=JXG.copyAttributes(e,i.options,"axis");h=i.create("line",f,d);h.type=JXG.OBJECT_TYPE_AXIS;h.isDraggable=false;h.point1.isDraggable=false;h.point2.isDraggable=false;for(var g in h.ancestors){h.ancestors[g].type=JXG.OBJECT_TYPE_AXISPOINT}d=JXG.copyAttributes(e,i.options,"axis","ticks");if(JXG.exists(d.ticksdistance)){j=d.ticksdistance}else{if(JXG.isArray(d.ticks)){j=d.ticks}else{j=1}}h.defaultTicks=i.create("ticks",[h,j],d);h.defaultTicks.dump=false;h.elType="axis";h.subs={ticks:h.defaultTicks}}else{throw new Error("JSXGraph: Can't create point with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]]")}return h};JXG.JSXGraph.registerElement("axis",JXG.createAxis);JXG.createTangent=function(o,r,k){var d,q,m,n,l,h,e,s;if(r.length==1){d=r[0];q=d.slideObject}else{if(r.length==2){if(JXG.isPoint(r[0])){d=r[0];q=r[1]}else{if(JXG.isPoint(r[1])){q=r[0];d=r[1]}else{throw new Error("JSXGraph: Can't create tangent with parent types '"+(typeof r[0])+"' and '"+(typeof r[1])+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]")}}}else{throw new Error("JSXGraph: Can't create tangent with parent types '"+(typeof r[0])+"' and '"+(typeof r[1])+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]")}}if(q.elementClass==JXG.OBJECT_CLASS_LINE){s=o.create("line",[q.point1,q.point2],k)}else{if(q.elementClass==JXG.OBJECT_CLASS_CURVE&&!(q.type==JXG.OBJECT_TYPE_CONIC)){if(q.visProp.curvetype!="plot"){m=q.X;n=q.Y;s=o.create("line",[function(){return -d.X()*o.D(n)(d.position)+d.Y()*o.D(m)(d.position)},function(){return o.D(n)(d.position)},function(){return -o.D(m)(d.position)}],k);d.addChild(s);s.glider=d}else{s=o.create("line",[function(){l=Math.floor(d.position);if(l==q.numberPoints-1){l--}if(l<0){return 1}return q.Y(l)*q.X(l+1)-q.X(l)*q.Y(l+1)},function(){l=Math.floor(d.position);if(l==q.numberPoints-1){l--}if(l<0){return 0}return q.Y(l+1)-q.Y(l)},function(){l=Math.floor(d.position);if(l==q.numberPoints-1){l--}if(l<0){return 0}return q.X(l)-q.X(l+1)}],k);d.addChild(s);s.glider=d}}else{if(q.type==JXG.OBJECT_TYPE_TURTLE){s=o.create("line",[function(){l=Math.floor(d.position);for(h=0;h<q.objects.length;h++){e=q.objects[h];if(e.type==JXG.OBJECT_TYPE_CURVE){if(l<e.numberPoints){break}l-=e.numberPoints}}if(l==e.numberPoints-1){l--}if(l<0){return 1}return e.Y(l)*e.X(l+1)-e.X(l)*e.Y(l+1)},function(){l=Math.floor(d.position);for(h=0;h<q.objects.length;h++){e=q.objects[h];if(e.type==JXG.OBJECT_TYPE_CURVE){if(l<e.numberPoints){break}l-=e.numberPoints;moveTo(funps)}}if(l==e.numberPoints-1){l--}if(l<0){return 0}return e.Y(l+1)-e.Y(l)},function(){l=Math.floor(d.position);for(h=0;h<q.objects.length;h++){e=q.objects[h];if(e.type==JXG.OBJECT_TYPE_CURVE){if(l<e.numberPoints){break}l-=e.numberPoints}}if(l==e.numberPoints-1){l--}if(l<0){return 0}return e.X(l)-e.X(l+1)}],k);d.addChild(s);s.glider=d}else{if(q.elementClass==JXG.OBJECT_CLASS_CIRCLE||q.type==JXG.OBJECT_TYPE_CONIC){s=o.create("line",[function(){return JXG.Math.matVecMult(q.quadraticform,d.coords.usrCoords)[0]},function(){return JXG.Math.matVecMult(q.quadraticform,d.coords.usrCoords)[1]},function(){return JXG.Math.matVecMult(q.quadraticform,d.coords.usrCoords)[2]}],k);d.addChild(s);s.glider=d}}}}if(!JXG.exists(s)){throw new Error("JSXGraph: Couldn't create tangent with the given parents.")}s.elType="tangent";s.parents=[];for(l=0;l<r.length;l++){s.parents.push(r[l].id)}return s};JXG.JSXGraph.registerElement("tangent",JXG.createTangent);JXG.JSXGraph.registerElement("polar",JXG.createTangent);JXG.Group=function(h,l,d){var j,g,e,k,f;this.board=h;this.objects={};j=this.board.numObjects;this.board.numObjects++;if((l=="")||!JXG.exists(l)){this.id=this.board.id+"Group"+j}else{this.id=l}this.board.groups[this.id]=this;this.type=JXG.OBJECT_TYPE_POINT;this.elementClass=JXG.OBJECT_CLASS_POINT;if((d=="")||!JXG.exists(d)){this.name="group_"+this.board.generateName(this)}else{this.name=d}delete (this.type);if((arguments.length==4)&&(JXG.isArray(arguments[3]))){g=arguments[3]}else{g=[];for(e=3;e<arguments.length;e++){g.push(arguments[e])}}for(e=0;e<g.length;e++){k=JXG.getReference(this.board,g[e]);if((!k.visProp.fixed)&&((k.type==JXG.OBJECT_TYPE_POINT)||(k.type==JXG.OBJECT_TYPE_GLIDER))){if(k.group.length!=0){this.addGroup(k.group[k.group.length-1])}else{this.addPoint(k)}}}for(f in this.objects){this.objects[f].group.push(this)}this.dX=0;this.dY=0};JXG.extend(JXG.Group.prototype,{ungroup:function(){var d;for(d in this.objects){if(this.objects[d].group[this.objects[d].group.length-1]==this){this.objects[d].group.pop()}delete (this.objects[d])}},update:function(d){var f=null,e;for(e in this.objects){f=this.objects[e];if(f.id!=d.id){f.coords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[f.coords.scrCoords[1]+this.dX,f.coords.scrCoords[2]+this.dY],f.board)}}for(e in this.objects){if(JXG.exists(this.board.objects[e])){this.objects[e].update(false)}else{delete (this.objects[e])}}return this},addPoint:function(d){this.objects[d.id]=d},addPoints:function(d){var e;for(e in d){this.objects[e.id]=e}},addGroup:function(e){var d;for(d in e.objects){this.addPoint(e.objects[d])}},setProperty:function(){var d;for(d in this.objects){this.objects[d].setProperty.apply(this.objects[d],arguments)}}});JXG.createGroup=function(h,e,d){var f,j=new JXG.Group(h,d.id,d.name,e);j.elType="group";j.parents=[];for(f=0;f<e.length;f++){j.parents.push(e[f].id)}return j};JXG.JSXGraph.registerElement("group",JXG.createGroup);JXG.Circle=function(g,h,f,e,d){this.constructor(g,d,JXG.OBJECT_TYPE_CIRCLE,JXG.OBJECT_CLASS_CIRCLE);this.method=h;this.midpoint=JXG.getReference(this.board,f);this.center=JXG.getReference(this.board,f);this.point2=null;this.radius=0;this.line=null;this.circle=null;if(h=="twoPoints"){this.point2=JXG.getReference(g,e);this.radius=this.Radius()}else{if(h=="pointRadius"){this.gxtterm=e;this.updateRadius=JXG.createFunction(e,this.board,null,true);this.updateRadius()}else{if(h=="pointLine"){this.line=JXG.getReference(g,e);this.radius=this.line.point1.coords.distance(JXG.COORDS_BY_USER,this.line.point2.coords)}else{if(h=="pointCircle"){this.circle=JXG.getReference(g,e);this.radius=this.circle.Radius()}}}}this.id=this.board.setId(this,"C");this.board.renderer.drawEllipse(this);this.board.finalizeAdding(this);this.createGradient();this.elType="circle";this.createLabel();this.center.addChild(this);if(h=="pointRadius"){this.notifyParents(e)}else{if(h=="pointLine"){this.line.addChild(this)}else{if(h=="pointCircle"){this.circle.addChild(this)}else{if(h=="twoPoints"){this.point2.addChild(this)}}}}this.methodMap=JXG.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",radius:"Radius"})};JXG.Circle.prototype=new JXG.GeometryElement;JXG.extend(JXG.Circle.prototype,{hasPoint:function(d,j){var e=this.board.options.precision.hasPoint/(this.board.unitX),g=this.center.coords.usrCoords,h=new JXG.Coords(JXG.COORDS_BY_SCREEN,[d,j],this.board),f=this.Radius();var i=Math.sqrt((g[1]-h.usrCoords[1])*(g[1]-h.usrCoords[1])+(g[2]-h.usrCoords[2])*(g[2]-h.usrCoords[2]));return(Math.abs(i-f)<e)},generatePolynomial:function(j){var h=this.center.symbolic.x;var g=this.center.symbolic.y;var f=j.symbolic.x;var e=j.symbolic.y;var d=this.generateRadiusSquared();if(d==""){return[]}var i="(("+f+")-("+h+"))^2 + (("+e+")-("+g+"))^2 - ("+d+")";return[i]},generateRadiusSquared:function(){var e="",g,f,i,h,d,j;if(this.method=="twoPoints"){g=this.center.symbolic.x;f=this.center.symbolic.y;i=this.point2.symbolic.x;h=this.point2.symbolic.y;e="(("+i+")-("+g+"))^2 + (("+h+")-("+f+"))^2"}else{if(this.method=="pointRadius"){if(typeof(this.radius)=="number"){e=""+this.radius*this.radius}}else{if(this.method=="pointLine"){i=this.line.point1.symbolic.x;h=this.line.point1.symbolic.y;d=this.line.point2.symbolic.x;j=this.line.point2.symbolic.y;e="(("+i+")-("+d+"))^2 + (("+h+")-("+j+"))^2"}else{if(this.method=="pointCircle"){e=this.circle.Radius()}}}}return e},update:function(){if(this.needsUpdate){if(this.visProp.trace){this.cloneToBackground(true)}if(this.method=="pointLine"){this.radius=this.line.point1.coords.distance(JXG.COORDS_BY_USER,this.line.point2.coords)}else{if(this.method=="pointCircle"){this.radius=this.circle.Radius()}else{if(this.method=="pointRadius"){this.radius=this.updateRadius()}}}this.updateStdform();this.updateQuadraticform()}return this},updateQuadraticform:function(){var d=this.center,g=d.X(),f=d.Y(),e=this.Radius();this.quadraticform=[[g*g+f*f-e*e,-g,-f],[-g,1,0],[-f,0,1]]},updateStdform:function(){this.stdform[3]=0.5;this.stdform[4]=this.Radius();this.stdform[1]=-this.center.coords.usrCoords[1];this.stdform[2]=-this.center.coords.usrCoords[2];this.normalize()},updateRenderer:function(){if(this.needsUpdate&&this.visProp.visible){var d=this.isReal;this.isReal=(!isNaN(this.center.coords.usrCoords[1]+this.center.coords.usrCoords[2]+this.Radius()))&&this.center.isReal;if(this.isReal){if(d!=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.updateEllipse(this)}else{if(d!=this.isReal){this.board.renderer.hide(this);if(this.hasLabel&&this.label.content.visProp.visible){this.board.renderer.hide(this.label.content)}}}this.needsUpdate=false}if(this.hasLabel&&this.label.content.visProp.visible&&this.isReal){this.label.content.update();this.board.renderer.updateText(this.label.content)}},notifyParents:function(d){if(typeof d=="string"){JXG.GeonextParser.findDependencies(this,d+"",this.board)}},setRadius:function(d){this.updateRadius=JXG.createFunction(d,this.board,null,true);this.board.update();return this},Radius:function(d){if(JXG.exists(d)){this.setRadius(d);return this.Radius()}if(this.method=="twoPoints"){if(JXG.Math.Geometry.distance(this.point2.coords.usrCoords,[0,0,0])==0||JXG.Math.Geometry.distance(this.center.coords.usrCoords,[0,0,0])==0){return NaN}else{return this.center.Dist(this.point2)}}else{if(this.method=="pointLine"||this.method=="pointCircle"){return this.radius}else{if(this.method=="pointRadius"){return this.updateRadius()}}}},getRadius:function(){return this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var e=this.Radius(),g=this.center.coords.usrCoords,d,f;switch(this.visProp.label.position){case"lft":d=g[1]-e;f=g[2];break;case"llft":d=g[1]-Math.sqrt(0.5)*e;f=g[2]-Math.sqrt(0.5)*e;break;case"rt":d=g[1]+e;f=g[2];break;case"lrt":d=g[1]+Math.sqrt(0.5)*e;f=g[2]-Math.sqrt(0.5)*e;break;case"urt":d=g[1]+Math.sqrt(0.5)*e;f=g[2]+Math.sqrt(0.5)*e;break;case"top":d=g[1];f=g[2]+e;break;case"bot":d=g[1];f=g[2]-e;break;case"ulft":default:d=g[1]-Math.sqrt(0.5)*e;f=g[2]+Math.sqrt(0.5)*e;break}return new JXG.Coords(JXG.COORDS_BY_USER,[d,f],this.board)},cloneToBackground:function(){var f={},d,e;f.id=this.id+"T"+this.numTraces;f.elementClass=JXG.OBJECT_CLASS_CIRCLE;this.numTraces++;f.center={};f.center.coords=this.center.coords;d=this.Radius();f.Radius=function(){return d};f.getRadius=function(){return d};f.board=this.board;f.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,true);f.visProp.layer=this.board.options.layer.trace;JXG.clearVisPropOld(f);e=this.board.renderer.enhancedRendering;this.board.renderer.enhancedRendering=true;this.board.renderer.drawEllipse(f);this.board.renderer.enhancedRendering=e;this.traces[f.id]=f.rendNode;return this},addTransform:function(e){var f,g=JXG.isArray(e)?e:[e],d=g.length;for(f=0;f<d;f++){this.center.transformations.push(g[f]);if(this.method==="twoPoints"){this.point2.transformations.push(g[f])}}return this},snapToGrid:function(){if(this.visProp.snaptogrid){this.center.snapToGrid();if(this.method==="twoPoints"){this.point2.snapToGrid()}}return this},setPosition:function(f,e){var d;e=new JXG.Coords(f,e,this.board);d=this.board.create("transform",e.usrCoords.slice(1),{type:"translate"});this.addTransform(d);return this},setPositionDirectly:function(k,h,g){h=new JXG.Coords(k,h,this.board);g=new JXG.Coords(k,g,this.board);var e=JXG.Math.Statistics.subtract(h.usrCoords,g.usrCoords),d=this.parents.length,f,j;for(f=0;f<d;f++){if(!JXG.getRef(this.board,this.parents[f]).draggable()){return this}}for(f=0;f<d;f++){j=JXG.getRef(this.board,this.parents[f]);j.coords.setCoordinates(JXG.COORDS_BY_USER,JXG.Math.Statistics.add(j.coords.usrCoords,e))}this.update();return this},X:function(d){return this.Radius()*Math.cos(d*2*Math.PI)+this.center.coords.usrCoords[1]},Y:function(d){return this.Radius()*Math.sin(d*2*Math.PI)+this.center.coords.usrCoords[2]},Z:function(d){return 1},minX:function(){return 0},maxX:function(){return 1},Area:function(){var d=this.Radius();return d*d*Math.PI},bounds:function(){var d=this.center.coords.usrCoords,e=this.Radius();return[d[1]-e,d[2]+e,d[1]+e,d[2]-e]}});JXG.createCircle=function(k,f,e){var j,l,h,d,g=true;l=[];for(h=0;h<f.length;h++){if(JXG.isPoint(f[h])){l[h]=f[h]}else{if(JXG.isArray(f[h])&&f[h].length>1){d=JXG.copyAttributes(e,k.options,"circle","center");l[h]=k.create("point",f[h],d)}else{l[h]=f[h]}}}d=JXG.copyAttributes(e,k.options,"circle");if(f.length==2&&JXG.isPoint(l[0])&&JXG.isPoint(l[1])){j=new JXG.Circle(k,"twoPoints",l[0],l[1],d)}else{if((JXG.isNumber(l[0])||JXG.isFunction(l[0])||JXG.isString(l[0]))&&JXG.isPoint(l[1])){j=new JXG.Circle(k,"pointRadius",l[1],l[0],d)}else{if((JXG.isNumber(l[1])||JXG.isFunction(l[1])||JXG.isString(l[1]))&&JXG.isPoint(l[0])){j=new JXG.Circle(k,"pointRadius",l[0],l[1],d)}else{if((l[0].elementClass==JXG.OBJECT_CLASS_CIRCLE)&&JXG.isPoint(l[1])){j=new JXG.Circle(k,"pointCircle",l[1],l[0],d)}else{if((l[1].elementClass==JXG.OBJECT_CLASS_CIRCLE)&&JXG.isPoint(l[0])){j=new JXG.Circle(k,"pointCircle",l[0],l[1],d)}else{if((l[0].elementClass==JXG.OBJECT_CLASS_LINE)&&JXG.isPoint(l[1])){j=new JXG.Circle(k,"pointLine",l[1],l[0],d)}else{if((l[1].elementClass==JXG.OBJECT_CLASS_LINE)&&JXG.isPoint(l[0])){j=new JXG.Circle(k,"pointLine",l[0],l[1],d)}else{if(f.length==3&&JXG.isPoint(l[0])&&JXG.isPoint(l[1])&&JXG.isPoint(l[2])){j=JXG.createCircumcircle(k,l,e)}else{throw new Error("JSXGraph: Can't create circle with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [point,point], [point,number], [point,function], [point,circle], [point,point,point]")}}}}}}}}j.isDraggable=g;j.parents=[];for(h=0;h<f.length;h++){if(f[h].id){j.parents.push(f[h].id)}}j.elType="circle";return j};JXG.JSXGraph.registerElement("circle",JXG.createCircle);JXG.createEllipse=function(n,p,h){var r=[],e,d,k,l,j=JXG.copyAttributes(h,n.options,"conic","foci"),m=JXG.copyAttributes(h,n.options,"conic");for(k=0;k<2;k++){if(p[k].length>1){r[k]=n.create("point",p[k],j)}else{if(JXG.isPoint(p[k])){r[k]=JXG.getReference(n,p[k])}else{if((typeof p[k]=="function")&&(p[k]().elementClass===JXG.OBJECT_CLASS_POINT)){r[k]=p[k]()}else{if(JXG.isString(p[k])){r[k]=JXG.getReference(n,p[k])}else{throw new Error("JSXGraph: Can't create Ellipse with parent types '"+(typeof p[0])+"' and '"+(typeof p[1])+"'.\nPossible parent types: [point,point,point], [point,point,number|function]")}}}}}if(JXG.isNumber(p[2])){d=JXG.createFunction(p[2],n)}else{if((typeof p[2]=="function")&&(JXG.isNumber(p[2]()))){d=p[2]}else{if(JXG.isPoint(p[2])){e=JXG.getReference(n,p[2])}else{if(p[2].length>1){e=n.create("point",p[2],j)}else{if((typeof p[2]=="function")&&(p[2]().elementClass==JXG.OBJECT_CLASS_POINT)){e=p[2]()}else{if(JXG.isString(p[2])){e=JXG.getReference(n,p[2])}else{throw new Error("JSXGraph: Can't create Ellipse with parent types '"+(typeof p[0])+"' and '"+(typeof p[1])+"' and '"+(typeof p[2])+"'.\nPossible parent types: [point,point,point], [point,point,number|function]")}}}}d=function(){return e.Dist(r[0])+e.Dist(r[1])}}}if(typeof p[4]=="undefined"){p[4]=1.0001*Math.PI}if(typeof p[3]=="undefined"){p[3]=-1.0001*Math.PI}var o=n.create("point",[function(){return(r[0].X()+r[1].X())*0.5},function(){return(r[0].Y()+r[1].Y())*0.5}],j);var q=function(){var i=r[0].X(),B=r[0].Y(),w=r[1].X(),v=r[1].Y(),A,z,u;var t=(w-i>0)?1:-1;if(Math.abs(w-i)>1e-7){A=Math.atan2(v-B,w-i)+((t<0)?Math.PI:0)}else{A=((v-B>0)?0.5:-0.5)*Math.PI}z=Math.cos(A);u=Math.sin(A);var s=[[1,0,0],[o.X(),z,-u],[o.Y(),u,z]];return s};var f=n.create("curve",[function(i){return 0},function(i){return 0},p[3],p[4]],m);var g=function(u,s){var A=d()*0.5,i=A*A,t=r[1].Dist(r[0])*0.5,v=i-t*t,z=Math.sqrt(v),w=[[1,0,0],[0,1,0],[0,0,1]],C,B;if(!s){l=q();C=o.X();B=o.Y();w[0][0]=l[0][0];w[0][1]=0;w[0][2]=0;w[1][0]=C*(1-l[1][1])+B*l[1][2];w[1][1]=l[1][1];w[1][2]=l[2][1];w[2][0]=B*(1-l[1][1])-C*l[1][2];w[2][1]=l[1][2];w[2][2]=l[2][2];f.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(w),JXG.Math.matMatMult([[-1+C*C/(A*A)+B*B/v,-C/i,-C/v],[-C/i,1/i,0],[-B/v,0,1/v]],w))}return JXG.Math.matVecMult(l,[1,A*Math.cos(u),z*Math.sin(u)])};f.X=function(i,s){return g(i,s)[1]};f.Y=function(i,s){return g(i,s)[2]};f.midpoint=o;f.type=JXG.OBJECT_TYPE_CONIC;return f};JXG.createHyperbola=function(n,p,h){var r=[],e,d,k,l,j=JXG.copyAttributes(h,n.options,"conic","foci"),m=JXG.copyAttributes(h,n.options,"conic");for(k=0;k<2;k++){if(p[k].length>1){r[k]=n.create("point",p[k],attr_focu)}else{if(JXG.isPoint(p[k])){r[k]=JXG.getReference(n,p[k])}else{if((typeof p[k]=="function")&&(p[k]().elementClass==JXG.OBJECT_CLASS_POINT)){r[k]=p[k]()}else{if(JXG.isString(p[k])){r[k]=JXG.getReference(n,p[k])}else{throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+(typeof p[0])+"' and '"+(typeof p[1])+"'.\nPossible parent types: [point,point,point], [point,point,number|function]")}}}}}if(JXG.isNumber(p[2])){d=JXG.createFunction(p[2],n)}else{if((typeof p[2]=="function")&&(JXG.isNumber(p[2]()))){d=p[2]}else{if(JXG.isPoint(p[2])){e=JXG.getReference(n,p[2])}else{if(p[2].length>1){e=n.create("point",p[2],j)}else{if((typeof p[2]=="function")&&(p[2]().elementClass==JXG.OBJECT_CLASS_POINT)){e=p[2]()}else{if(JXG.isString(p[2])){e=JXG.getReference(n,p[2])}else{throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+(typeof p[0])+"' and '"+(typeof p[1])+"' and '"+(typeof p[2])+"'.\nPossible parent types: [point,point,point], [point,point,number|function]")}}}}d=function(){return e.Dist(r[0])-e.Dist(r[1])}}}if(typeof p[4]=="undefined"){p[4]=1.0001*Math.PI}if(typeof p[3]=="undefined"){p[3]=-1.0001*Math.PI}var o=n.create("point",[function(){return(r[0].X()+r[1].X())*0.5},function(){return(r[0].Y()+r[1].Y())*0.5}],j);var q=function(){var t=r[0].X(),s=r[0].Y(),z=r[1].X(),v=r[1].Y(),u;var w=(z-t>0)?1:-1;if(Math.abs(z-t)>1e-7){u=Math.atan2(v-s,z-t)+((w<0)?Math.PI:0)}else{u=((v-s>0)?0.5:-0.5)*Math.PI}var i=[[1,0,0],[o.X(),Math.cos(u),-Math.sin(u)],[o.Y(),Math.sin(u),Math.cos(u)]];return i};var f=n.create("curve",[function(i){return 0},function(i){return 0},p[3],p[4]],m);var g=function(u,s){var A=d()*0.5,i=A*A,t=r[1].Dist(r[0])*0.5,z=Math.sqrt(-A*A+t*t),v=z*z,w=[[1,0,0],[0,1,0],[0,0,1]],C,B;if(!s){l=q();C=o.X();B=o.Y();w[0][0]=l[0][0];w[0][1]=0;w[0][2]=0;w[1][0]=C*(1-l[1][1])+B*l[1][2];w[1][1]=l[1][1];w[1][2]=l[2][1];w[2][0]=B*(1-l[1][1])-C*l[1][2];w[2][1]=l[1][2];w[2][2]=l[2][2];f.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(w),JXG.Math.matMatMult([[-1+C*C/i+B*B/v,-C/i,B/v],[-C/i,1/i,0],[B/v,0,-1/v]],w))}return JXG.Math.matVecMult(l,[1,A/Math.cos(u),z*Math.tan(u)])};f.X=function(i,s){return g(i,s)[1]};f.Y=function(i,s){return g(i,s)[2]};f.midpoint=o;f.type=JXG.OBJECT_TYPE_CONIC;return f};JXG.createParabola=function(m,o,g){var k=o[0],e=o[1],i,h=JXG.copyAttributes(g,m.options,"conic","foci"),j=JXG.copyAttributes(g,m.options,"conic");if(o[0].length>1){k=m.create("point",o[0],h)}else{if(JXG.isPoint(o[0])){k=JXG.getReference(m,o[0])}else{if((typeof o[0]=="function")&&(o[0]().elementClass==JXG.OBJECT_CLASS_POINT)){k=o[0]()}else{if(JXG.isString(o[0])){k=JXG.getReference(m,o[0])}else{throw new Error("JSXGraph: Can't create Parabola with parent types '"+(typeof o[0])+"' and '"+(typeof o[1])+"'.\nPossible parent types: [point,line]")}}}}if(typeof o[3]=="undefined"){o[3]=10}if(typeof o[2]=="undefined"){o[2]=-10}var n=m.create("point",[function(){var l=[0,e.stdform[1],e.stdform[2]];l=JXG.Math.crossProduct(l,k.coords.usrCoords);return JXG.Math.Geometry.meetLineLine(l,e.stdform,0,m).usrCoords}],h);var p=function(){var r=Math.atan(e.getSlope()),q=(n.X()+k.X())*0.5,s=(n.Y()+k.Y())*0.5;r+=(k.Y()-n.Y()<0||(k.Y()==n.Y()&&k.X()>n.X()))?Math.PI:0;var l=[[1,0,0],[q*(1-Math.cos(r))+s*Math.sin(r),Math.cos(r),-Math.sin(r)],[s*(1-Math.cos(r))-q*Math.sin(r),Math.sin(r),Math.cos(r)]];return l};var d=m.create("curve",[function(l){return 0},function(l){return 0},o[2],o[3]],j);var f=function(s,u){var v=n.Dist(k)*0.5,r=[[1,0,0],[0,1,0],[0,0,1]],q=(n.X()+k.X())*0.5,l=(n.Y()+k.Y())*0.5;if(!u){i=p();r[0][0]=i[0][0];r[0][1]=0;r[0][2]=0;r[1][0]=q*(1-i[1][1])+l*i[1][2];r[1][1]=i[1][1];r[1][2]=i[2][1];r[2][0]=l*(1-i[1][1])-q*i[1][2];r[2][1]=i[1][2];r[2][2]=i[2][2];d.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(r),JXG.Math.matMatMult([[-l*4*v-q*q,q,2*v],[q,-1,0],[2*v,0,0]],r))}return JXG.Math.matVecMult(i,[1,s+q,s*s/(v*4)+l])};d.X=function(l,q){return f(l,q)[1]};d.Y=function(l,q){return f(l,q)[2]};d.type=JXG.OBJECT_TYPE_CONIC;return d};JXG.createConic=function(e,w,g){var j=[[1,0,0],[0,1,0],[0,0,1]],D,B,A,z,f=[[1,0,0],[0,1,0],[0,0,1]],o,n,t=[],u,r,C,m=[],s=JXG.copyAttributes(g,e.options,"conic","foci"),q=JXG.copyAttributes(g,e.options,"conic");if(w.length==5){C=true}else{if(w.length==6){C=false}else{throw new Error("JSXGraph: Can't create generic Conic with "+parent.length+" parameters.")}}if(C){for(u=0;u<5;u++){if(w[u].length>1){t[u]=e.create("point",w[u],s)}else{if(JXG.isPoint(w[u])){t[u]=JXG.getReference(e,w[u])}else{if((typeof w[u]=="function")&&(w[u]().elementClass==JXG.OBJECT_CLASS_POINT)){t[u]=w[u]()}else{if(JXG.isString(w[u])){t[u]=JXG.getReference(e,w[u])}else{throw new Error("JSXGraph: Can't create Conic section with parent types '"+(typeof w[u])+"'.\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]")}}}}}}else{r=[[0,0,0],[0,0,0],[0,0,0]];r[0][0]=(JXG.isFunction(w[2]))?function(){return w[2]()}:function(){return w[2]};r[0][1]=(JXG.isFunction(w[4]))?function(){return w[4]()}:function(){return w[4]};r[0][2]=(JXG.isFunction(w[5]))?function(){return w[5]()}:function(){return w[5]};r[1][1]=(JXG.isFunction(w[0]))?function(){return w[0]()}:function(){return w[0]};r[1][2]=(JXG.isFunction(w[3]))?function(){return w[3]()}:function(){return w[3]};r[2][2]=(JXG.isFunction(w[1]))?function(){return w[1]()}:function(){return w[1]}}var h=function(p){var F,E;for(F=0;F<3;F++){for(E=F;E<3;E++){p[F][E]+=p[E][F]}}for(F=0;F<3;F++){for(E=0;E<F;E++){p[F][E]=p[E][F]}}return p};var l=function(E,p){var H,F,G=[[0,0,0],[0,0,0],[0,0,0]];for(H=0;H<3;H++){for(F=0;F<3;F++){G[H][F]=E[H]*p[F]}}return h(G)};var v=function(H,F,G){var K,L,E,M=[[0,0,0],[0,0,0],[0,0,0]],J,I;E=JXG.Math.matVecMult(F,G);K=JXG.Math.innerProduct(G,E);E=JXG.Math.matVecMult(H,G);L=JXG.Math.innerProduct(G,E);for(J=0;J<3;J++){for(I=0;I<3;I++){M[J][I]=K*H[J][I]-L*F[J][I]}}return M};var k=e.create("curve",[function(i){return 0},function(i){return 0},0,2*Math.PI],q);var d=function(H,I){var G,F,p,E;if(!I){if(C){for(G=0;G<5;G++){m[G]=t[G].coords.usrCoords}o=l(JXG.Math.crossProduct(m[0],m[1]),JXG.Math.crossProduct(m[2],m[3]));n=l(JXG.Math.crossProduct(m[0],m[2]),JXG.Math.crossProduct(m[1],m[3]));f=v(o,n,m[4])}else{for(G=0;G<3;G++){for(F=G;F<3;F++){f[G][F]=r[G][F]();if(F>G){f[F][G]=f[G][F]}}}}k.quadraticform=f;D=JXG.Math.Numerics.Jacobi(f);if(D[0][0][0]<0){D[0][0][0]*=(-1);D[0][1][1]*=(-1);D[0][2][2]*=(-1)}for(G=0;G<3;G++){p=0;for(F=0;F<3;F++){p+=D[1][F][G]*D[1][F][G]}p=Math.sqrt(p);for(F=0;F<3;F++){}}j=D[1];z=Math.sqrt(Math.abs(D[0][0][0]));B=Math.sqrt(Math.abs(D[0][1][1]));A=Math.sqrt(Math.abs(D[0][2][2]))}if(D[0][1][1]<=0&&D[0][2][2]<=0){E=JXG.Math.matVecMult(j,[1/z,Math.cos(H)/B,Math.sin(H)/A])}else{if(D[0][1][1]<=0&&D[0][2][2]>0){E=JXG.Math.matVecMult(j,[Math.cos(H)/z,1/B,Math.sin(H)/A])}else{if(D[0][2][2]<0){E=JXG.Math.matVecMult(j,[Math.sin(H)/z,Math.cos(H)/B,1/A])}}}E[1]/=E[0];E[2]/=E[0];E[0]=1;return E};k.X=function(i,p){return d(i,p)[1]};k.Y=function(i,p){return d(i,p)[2]};k.midpoint=e.create("point",[function(){var i=k.quadraticform;return[i[1][1]*i[2][2]-i[1][2]*i[1][2],i[1][2]*i[0][2]-i[2][2]*i[0][1],i[0][1]*i[1][2]-i[1][1]*i[0][2]]}],s);k.type=JXG.OBJECT_TYPE_CONIC;return k};JXG.JSXGraph.registerElement("ellipse",JXG.createEllipse);JXG.JSXGraph.registerElement("hyperbola",JXG.createHyperbola);JXG.JSXGraph.registerElement("parabola",JXG.createParabola);JXG.JSXGraph.registerElement("conic",JXG.createConic);JXG.Polygon=function(h,f,e){this.constructor(h,e,JXG.OBJECT_TYPE_POLYGON,JXG.OBJECT_CLASS_AREA);var g,k,d,j=JXG.copyAttributes(e,h.options,"polygon","borders");this.withLines=e.withlines;this.attr_line=j;this.vertices=[];for(g=0;g<f.length;g++){k=JXG.getRef(this.board,f[g]);this.vertices[g]=k}if(this.vertices[this.vertices.length-1]!=this.vertices[0]){this.vertices.push(this.vertices[0])}this.borders=[];if(this.withLines){for(g=0;g<this.vertices.length-1;g++){j.id=j.ids&&j.ids[g];j.strokecolor=JXG.isArray(j.colors)&&j.colors[g%j.colors.length]||j.strokecolor;if(j.strokecolor===false){j.strokecolor="none"}d=JXG.createSegment(h,[this.vertices[g],this.vertices[g+1]],j);d.dump=false;this.borders[g]=d;d.parentPolygon=this}}for(g=0;g<this.vertices.length-1;g++){k=JXG.getReference(this.board,this.vertices[g]);k.addChild(this)}this.createLabel();this.id=this.board.setId(this,"Py");this.board.renderer.drawPolygon(this);this.board.finalizeAdding(this);this.methodMap.borders="borders";this.methodMap.vertices="vertices";this.elType="polygon"};JXG.Polygon.prototype=new JXG.GeometryElement;JXG.extend(JXG.Polygon.prototype,{hasPoint:function(e,k){var g,f,d,h=false;if(this.visProp.hasinnerpoints){d=this.vertices.length;for(g=0,f=d-2;g<d-1;f=g++){if(((this.vertices[g].coords.scrCoords[2]>k)!=(this.vertices[f].coords.scrCoords[2]>k))&&(e<(this.vertices[f].coords.scrCoords[1]-this.vertices[g].coords.scrCoords[1])*(k-this.vertices[g].coords.scrCoords[2])/(this.vertices[f].coords.scrCoords[2]-this.vertices[g].coords.scrCoords[2])+this.vertices[g].coords.scrCoords[1])){h=!h}}}else{d=this.borders.length;for(g=0;g<d;g++){if(this.borders[g].hasPoint(e,k)){h=true;break}}}return h},updateRenderer:function(){if(this.needsUpdate){this.board.renderer.updatePolygon(this);this.needsUpdate=false}if(this.hasLabel&&this.label.content.visProp.visible){this.label.content.update();this.board.renderer.updateText(this.label.content)}},getTextAnchor:function(){var f=this.vertices[0].X(),e=this.vertices[0].Y(),d=f,h=e,g;for(g=0;g<this.vertices.length;g++){if(this.vertices[g].X()<f){f=this.vertices[g].X()}if(this.vertices[g].X()>d){d=this.vertices[g].X()}if(this.vertices[g].Y()>e){e=this.vertices[g].Y()}if(this.vertices[g].Y()<h){h=this.vertices[g].Y()}}return new JXG.Coords(JXG.COORDS_BY_USER,[(f+d)*0.5,(e+h)*0.5],this.board)},getLabelAnchor:JXG.shortcut(JXG.Polygon.prototype,"getTextAnchor"),cloneToBackground:function(){var e={},d;e.id=this.id+"T"+this.numTraces;this.numTraces++;e.vertices=this.vertices;e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,true);e.visProp.layer=this.board.options.layer.trace;e.board=this.board;JXG.clearVisPropOld(e);d=this.board.renderer.enhancedRendering;this.board.renderer.enhancedRendering=true;this.board.renderer.drawPolygon(e);this.board.renderer.enhancedRendering=d;this.traces[e.id]=e.rendNode;return this},hideElement:function(){var d;this.visProp.visible=false;this.board.renderer.hide(this);for(d=0;d<this.borders.length;d++){this.borders[d].hideElement()}if(this.hasLabel&&JXG.exists(this.label)){this.label.hiddenByParent=true;if(this.label.content.visProp.visible){this.board.renderer.hide(this.label.content)}}},showElement:function(){var d;this.visProp.visible=true;this.board.renderer.show(this);for(d=0;d<this.borders.length;d++){this.borders[d].showElement()}if(this.hasLabel&&JXG.exists(this.label)){if(this.label.content.visProp.visible){this.board.renderer.show(this.label.content)}}},Area:function(){var e=0,d;for(d=0;d<this.vertices.length-1;d++){e+=(this.vertices[d].X()*this.vertices[d+1].Y()-this.vertices[d+1].X()*this.vertices[d].Y())}e/=2;return Math.abs(e)},remove:function(){var d;for(d=0;d<this.borders.length;d++){this.board.removeObject(this.borders[d])}this.board.renderer.remove(this.rendNode)},findPoint:function(e){var d;if(!JXG.isPoint(e)){return -1}for(d=0;d<this.vertices.length;d++){if(this.vertices[d].id===e.id){return d}}return -1},addPoints:function(){var d=Array.prototype.slice.call(arguments);return this.insertPoints.apply(this,[this.vertices.length-2].concat(d))},insertPoints:function(){var d,f,g=[],e;if(arguments.length===0){return this}d=arguments[0];if(d<0||d>this.vertices.length-2){return this}for(f=1;f<arguments.length;f++){if(JXG.isPoint(arguments[f])){g.push(arguments[f])}}e=this.vertices.slice(0,d+1).concat(g);this.vertices=e.concat(this.vertices.slice(d+1));if(this.withLines){e=this.borders.slice(0,d);this.board.removeObject(this.borders[d]);for(f=0;f<g.length;f++){e.push(JXG.createSegment(this.board,[this.vertices[d+f],this.vertices[d+f+1]],this.attr_line))}e.push(JXG.createSegment(this.board,[this.vertices[d+g.length],this.vertices[d+g.length+1]],this.attr_line));this.borders=e.concat(this.borders.slice(d))}this.board.update();return this},removePoints:function(){var k,g,e,h=[],l=[],d=[],f=[];this.vertices=this.vertices.slice(0,this.vertices.length-1);for(k=0;k<arguments.length;k++){if(JXG.isPoint(arguments[k])){e=this.findPoint(arguments[k])}if(JXG.isNumber(e)&&e>-1&&e<this.vertices.length&&JXG.indexOf(d,e)===-1){d.push(e)}}d=d.sort();h=this.vertices.slice();l=this.borders.slice();if(this.withLines){f.push([d[d.length-1]])}for(k=d.length-1;k>-1;k--){h[d[k]]=-1;if(this.withLines&&(d[k]-1>d[k-1])){f[f.length-1][1]=d[k];f.push([d[k-1]])}}if(this.withLines){f[f.length-1][1]=d[0]}this.vertices=[];for(k=0;k<h.length;k++){if(JXG.isPoint(h[k])){this.vertices.push(h[k])}}if(this.vertices[this.vertices.length-1].id!==this.vertices[0].id){this.vertices.push(this.vertices[0])}if(this.withLines){for(k=0;k<f.length;k++){for(g=f[k][1]-1;g<f[k][0]+1;g++){if(g<0){g=0;this.board.removeObject(this.borders[l.length-1]);l[l.length-1]=-1}else{if(g>l.length-1){g=l.length-1}}this.board.removeObject(this.borders[g]);l[g]=-1}if(f[k][1]!==0&&f[k][0]!==h.length-1){l[f[k][0]-1]=JXG.createSegment(this.board,[h[Math.max(f[k][1]-1,0)],h[Math.min(f[k][0]+1,this.vertices.length-1)]],this.attr_line)}}this.borders=[];for(k=0;k<l.length;k++){if(l[k]!==-1){this.borders.push(l[k])}}if(f[0][1]===5||f[f.length-1][1]===0){this.borders.push(JXG.createSegment(this.board,[this.vertices[0],this.vertices[this.vertices.length-2]],this.attr_line))}}this.board.update();return this},getParents:function(){var e=[],d;for(d=0;d<this.vertices.length;d++){e.push(this.vertices[d].id)}return e},getAttributes:function(){var d=JXG.GeometryElement.prototype.getAttributes.call(this),e;if(this.withLines){d.lines=d.lines||{};d.lines.ids=[];d.lines.colors=[];for(e=0;e<this.borders.length;e++){d.lines.ids.push(this.borders[e].id);d.lines.colors.push(this.borders[e].visProp.strokecolor)}}return d}});JXG.createPolygon=function(j,f,e){var h,g,d=JXG.copyAttributes(e,j.options,"polygon");for(g=0;g<f.length;g++){f[g]=JXG.getReference(j,f[g]);if(!JXG.isPoint(f[g])){throw new Error("JSXGraph: Can't create polygon with parent types other than 'point'.")}}h=new JXG.Polygon(j,f,d);return h};JXG.createRegularPolygon=function(m,r,h){var f,j,g,d=[],e,q,k,o,l;if(JXG.isNumber(r[r.length-1])&&r.length!=3){throw new Error("JSXGraph: A regular polygon needs two points and a number as input.")}k=r.length;g=r[k-1];if((!JXG.isNumber(g)&&!JXG.isPoint(JXG.getReference(m,g)))||g<3){throw new Error("JSXGraph: The third parameter has to be number greater than 2 or a point.")}if(JXG.isPoint(JXG.getReference(m,g))){g=k;o=true}else{k--;o=false}for(j=0;j<k;j++){r[j]=JXG.getReference(m,r[j]);if(!JXG.isPoint(r[j])){throw new Error("JSXGraph: Can't create regular polygon if the first two parameters aren't points.")}}d[0]=r[0];d[1]=r[1];l=JXG.copyAttributes(h,m.options,"polygon","vertices");for(j=2;j<g;j++){e=m.create("transform",[Math.PI*(2-(g-2)/g),d[j-1]],{type:"rotate"});if(o){d[j]=r[j];d[j].addTransform(r[j-2],e)}else{if(JXG.isArray(l.ids)&&l.ids.length>=g-2){l.id=l.ids[j-2]}d[j]=m.create("point",[d[j-2],e],l);d[j].type=JXG.OBJECT_TYPE_CAS}}l=JXG.copyAttributes(h,m.options,"polygon");f=m.create("polygon",d,l);f.elType="regularpolygon";return f};JXG.JSXGraph.registerElement("polygon",JXG.createPolygon);JXG.JSXGraph.registerElement("regularpolygon",JXG.createRegularPolygon);JXG.Curve=function(f,e,d){this.constructor(f,d,JXG.OBJECT_TYPE_CURVE,JXG.OBJECT_CLASS_CURVE);this.points=[];this.numberPoints=this.visProp.numberpointshigh;this.bezierDegree=1;this.dataX=null;this.dataY=null;if(e[0]!=null){this.varname=e[0]}else{this.varname="x"}this.xterm=e[1];this.yterm=e[2];this.generateTerm(this.varname,this.xterm,this.yterm,e[3],e[4]);this.updateCurve();this.id=this.board.setId(this,"G");this.board.renderer.drawCurve(this);this.board.finalizeAdding(this);this.createGradient();this.elType="curve";this.createLabel();if(typeof this.xterm=="string"){this.notifyParents(this.xterm)}if(typeof this.yterm=="string"){this.notifyParents(this.yterm)}};JXG.Curve.prototype=new JXG.GeometryElement;JXG.extend(JXG.Curve.prototype,{minX:function(){if(this.visProp.curvetype=="polar"){return 0}else{var d=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board);return d.usrCoords[1]}},maxX:function(){var d;if(this.visProp.curvetype=="polar"){return 2*Math.PI}else{d=new JXG.Coords(JXG.COORDS_BY_SCREEN,[this.board.canvasWidth,0],this.board);return d.usrCoords[1]}},Z:function(d){return 1},hasPoint:function(s,r,n){var u,B=Infinity,J,m,D,C,w,v,z,f,K,A,p,H,l,G,h,o,q,F=this.visProp.numberpointslow,I=(this.maxX()-this.minX())/F,e=this.board.options.precision.hasPoint/this.board.unitX,g,E,k=true;e=e*e;g=new JXG.Coords(JXG.COORDS_BY_SCREEN,[s,r],this.board);s=g.usrCoords[1];r=g.usrCoords[2];if(this.visProp.curvetype=="parameter"||this.visProp.curvetype=="polar"||this.visProp.curvetype=="functiongraph"){E=this.transformations.length;for(D=0,u=this.minX();D<F;D++){w=this.X(u,k);v=this.Y(u,k);for(C=0;C<E;C++){m=this.transformations[C];m.update();J=JXG.Math.matVecMult(m.matrix,[1,w,v]);w=J[1];v=J[2]}B=(s-w)*(s-w)+(r-v)*(r-v);if(B<e){return true}u+=I}}else{if(this.visProp.curvetype=="plot"){if(!JXG.exists(n)||n<0){n=0}E=this.numberPoints;for(D=n;D<E-1;D++){z=this.X(D);f=this.X(D+1);K=this.Y(D);A=this.Y(D+1);for(C=0;C<this.transformations.length;C++){m=this.transformations[C];m.update();J=JXG.Math.matVecMult(m.matrix,[1,z,K]);z=J[1];K=J[2];J=JXG.Math.matVecMult(m.matrix,[1,f,A]);f=J[1];A=J[2]}G=f-z;h=A-K;H=s-z;l=r-K;q=G*G+h*h;if(q>=JXG.Math.eps){o=H*G+l*h;p=o/q;B=H*H+l*l-p*o}else{p=0;B=H*H+l*l}if(p>=0&&p<=1&&B<e){return true}}return false}}return(B<e)},allocatePoints:function(){var e,d;d=this.numberPoints;if(this.points.length<this.numberPoints){for(e=this.points.length;e<d;e++){this.points[e]=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)}}},update:function(){if(this.needsUpdate&&!this.board.needsFullUpdate&&this.Y&&this.Y.toJS){if(this.Y.toJS()==this.YtoJS&&this.Y.deps&&JXG.keys(this.Y.deps,true).length===0){return this}this.YtoJS=this.Y.toJS()}if(this.needsUpdate){if(this.visProp.trace){this.cloneToBackground(true)}this.updateCurve()}return this},updateRenderer:function(){if(this.needsUpdate&&this.visProp.visible){this.board.renderer.updateCurve(this);this.needsUpdate=false;if(this.hasLabel&&this.label.content.visProp.visible){this.label.content.update();this.board.renderer.updateText(this.label.content)}}return this},updateDataArray:function(){},updateCurve:function(){var e,f,k,d,j,g,h=false;this.updateDataArray();f=this.minX();k=this.maxX();if(this.dataX!=null){this.numberPoints=this.dataX.length;e=this.numberPoints;this.allocatePoints();for(g=0;g<e;g++){d=g;if(this.dataY!=null){j=g}else{j=this.X(d)}this.points[g].setCoordinates(JXG.COORDS_BY_USER,[this.X(d,h),this.Y(j,h)],false);this.updateTransform(this.points[g]);h=true}}else{if(this.visProp.doadvancedplot){this.updateParametricCurve(f,k,e)}else{if(this.board.updateQuality==this.board.BOARD_QUALITY_HIGH){this.numberPoints=this.visProp.numberpointshigh}else{this.numberPoints=this.visProp.numberpointslow}this.allocatePoints();this.updateParametricCurveNaive(f,k,this.numberPoints)}}return this},updateParametricCurveNaive:function(f,k,e){var h,g,j=false,d=(k-f)/e;for(h=0;h<e;h++){g=f+h*d;this.points[h].setCoordinates(JXG.COORDS_BY_USER,[this.X(g,j),this.Y(g,j)],false);this.updateTransform(this.points[h]);j=true}return this},updateParametricCurve:function(E,e){var v,p,o,g=false,z=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board),n,m,B,f,q,G,F,s,k,w=[],h=[],D=[],A=[],r=false,u=0,C,l=function(M,L,N){var t=N[1]-M[1],K=N[2]-M[2],j=L[0]-M[1],I=L[1]-M[2],J=j*j+I*I,i,H;if(J>=JXG.Math.eps){i=(t*j+K*I)/J;if(i>0){if(i<=1){t-=i*j;K-=i*I}else{t-=j;K-=I}}}H=t*t+K*K;return Math.sqrt(H)};if(this.board.updateQuality==this.board.BOARD_QUALITY_LOW){F=15;s=10;k=10}else{F=21;s=0.7;k=0.7}A[0]=e-E;for(v=1;v<F;v++){A[v]=A[v-1]*0.5}v=1;w[0]=1;h[0]=0;p=E;z.setCoordinates(JXG.COORDS_BY_USER,[this.X(p,g),this.Y(p,g)],false);g=true;B=z.scrCoords[1];f=z.scrCoords[2];o=p;p=e;z.setCoordinates(JXG.COORDS_BY_USER,[this.X(p,g),this.Y(p,g)],false);n=z.scrCoords[1];m=z.scrCoords[2];D[0]=[n,m];q=1;G=0;this.points=[];this.points[u++]=new JXG.Coords(JXG.COORDS_BY_SCREEN,[B,f],this.board);do{r=this.isDistOK(n-B,m-f,s,k)||this.isSegmentOutside(B,f,n,m);while(G<F&&(!r||G<3)&&(G<=7||this.isSegmentDefined(B,f,n,m))){w[q]=v;h[q]=G;D[q]=[n,m];q++;v=2*v-1;G++;p=E+v*A[G];z.setCoordinates(JXG.COORDS_BY_USER,[this.X(p,g),this.Y(p,g)],false);n=z.scrCoords[1];m=z.scrCoords[2];r=this.isDistOK(n-B,m-f,s,k)||this.isSegmentOutside(B,f,n,m)}if(u>1){C=l(this.points[u-2].scrCoords,[n,m],this.points[u-1].scrCoords);if(C<0.015){u--}}this.points[u]=new JXG.Coords(JXG.COORDS_BY_SCREEN,[n,m],this.board);this.updateTransform(this.points[u]);u++;B=n;f=m;o=p;q--;n=D[q][0];m=D[q][1];G=h[q]+1;v=w[q]*2}while(q>0&&u<500000);this.numberPoints=this.points.length;return this},isSegmentOutside:function(e,g,d,f){return(g<0&&f<0)||(g>this.board.canvasHeight&&f>this.board.canvasHeight)||(e<0&&d<0)||(e>this.board.canvasWidth&&d>this.board.canvasWidth)},isDistOK:function(f,d,g,e){return(Math.abs(f)<g&&Math.abs(d)<e)&&!isNaN(f+d)},isSegmentDefined:function(e,g,d,f){return !(isNaN(e+g)&&isNaN(d+f))},updateTransform:function(g){var f,h,e,d=this.transformations.length;for(e=0;e<d;e++){f=this.transformations[e];f.update();h=JXG.Math.matVecMult(f.matrix,g.usrCoords);g.setCoordinates(JXG.COORDS_BY_USER,[h[1],h[2]])}return g},addTransform:function(e){var f,g=JXG.isArray(e)?e:[e],d=g.length;for(f=0;f<d;f++){this.transformations.push(g[f])}return this},setPosition:function(f,e){var d;e=new JXG.Coords(f,e,this.board);d=this.board.create("transform",e.usrCoords.slice(1),{type:"translate"});if(this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix){this.transformations[this.transformations.length-1].melt(d)}else{this.addTransform(d)}return this},generateTerm:function(e,i,f,d,j){var h,g;if(JXG.isArray(i)){this.dataX=i;this.X=function(m){var l=parseInt(Math.floor(m)),k,n;if(m<0){l=0}else{if(m>this.dataX.length-2){l=this.dataX.length-2}}if(l==m){return this.dataX[l]}else{k=this.dataX[l];n=this.dataX[l+1];return k+(n-k)*(m-l)}};this.visProp.curvetype="plot";this.numberPoints=this.dataX.length}else{this.X=JXG.createFunction(i,this.board,e);if(JXG.isString(i)){this.visProp.curvetype="functiongraph"}else{if(JXG.isFunction(i)||JXG.isNumber(i)){this.visProp.curvetype="parameter"}}}if(JXG.isArray(f)){this.dataY=f;this.Y=function(m){var l=parseInt(Math.floor(m)),k,n;if(m<0){l=0}else{if(m>this.dataY.length-2){l=this.dataY.length-2}}if(l==m){if(JXG.isFunction(this.dataY[l])){return this.dataY[l]()}else{return this.dataY[l]}}else{if(JXG.isFunction(this.dataY[l])){k=this.dataY[l]()}else{k=this.dataY[l]}if(JXG.isFunction(this.dataY[l+1])){n=this.dataY[l+1]()}else{n=this.dataY[l+1]}return k+(n-k)*(m-l)}}}else{this.Y=JXG.createFunction(f,this.board,e)}if(JXG.isFunction(i)&&JXG.isArray(f)){h=JXG.createFunction(f[0],this.board,"");g=JXG.createFunction(f[1],this.board,"");this.X=function(k){return(i)(k)*Math.cos(k)+h()};this.Y=function(k){return(i)(k)*Math.sin(k)+g()};this.visProp.curvetype="polar"}if(d!=null){this.minX=JXG.createFunction(d,this.board,"")}if(j!=null){this.maxX=JXG.createFunction(j,this.board,"")}},notifyParents:function(d){JXG.GeonextParser.findDependencies(this,d,this.board)},getLabelAnchor:function(){var j,d,i,f=0.05*this.board.canvasWidth,e=0.05*this.board.canvasHeight,h=0.95*this.board.canvasWidth,g=0.95*this.board.canvasHeight;switch(this.visProp.label.position){case"ulft":d=f;i=e;break;case"llft":d=f;i=g;break;case"rt":d=h;i=0.5*g;break;case"lrt":d=h;i=g;break;case"urt":d=h;i=e;break;case"top":d=0.5*h;i=e;break;case"bot":d=0.5*h;i=g;break;case"lft":default:d=f;i=0.5*g;break}j=new JXG.Coords(JXG.COORDS_BY_SCREEN,[d,i],this.board);return JXG.Math.Geometry.projectCoordsToCurve(j.usrCoords[1],j.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var e={},d;e.id=this.id+"T"+this.numTraces;e.elementClass=JXG.OBJECT_CLASS_CURVE;this.numTraces++;e.points=this.points.slice(0);e.numberPoints=this.numberPoints;e.board=this.board;e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,true);e.visProp.layer=this.board.options.layer.trace;e.visProp.curvetype=this.visProp.curvetype;JXG.clearVisPropOld(e);d=this.board.renderer.enhancedRendering;this.board.renderer.enhancedRendering=true;this.board.renderer.drawCurve(e);this.board.renderer.enhancedRendering=d;this.traces[e.id]=e.rendNode;return this},bounds:function(){var d=Infinity,h=-Infinity,j=Infinity,g=-Infinity,e=this.points.length,f;for(f=0;f<e;f++){if(d>this.points[f].usrCoords[1]){d=this.points[f].usrCoords[1]}if(h<this.points[f].usrCoords[1]){h=this.points[f].usrCoords[1]}if(j>this.points[f].usrCoords[2]){j=this.points[f].usrCoords[2]}if(g<this.points[f].usrCoords[2]){g=this.points[f].usrCoords[2]}}return[d,g,h,j]}});JXG.createCurve=function(g,f,e){var d=JXG.copyAttributes(e,g.options,"curve");return new JXG.Curve(g,["x"].concat(f),d)};JXG.JSXGraph.registerElement("curve",JXG.createCurve);JXG.createFunctiongraph=function(h,f,e){var d,g=["x","x"].concat(f);d=JXG.copyAttributes(e,h.options,"curve");d.curvetype="functiongraph";return new JXG.Curve(h,g,d)};JXG.JSXGraph.registerElement("functiongraph",JXG.createFunctiongraph);JXG.JSXGraph.registerElement("plot",JXG.createFunctiongraph);JXG.createSpline=function(f,e,d){var g;g=function(){var j,h=[],k=[];var i=function(o,n){var m,l;if(!n){h=[];k=[];if(e.length==2&&JXG.isArray(e[0])&&JXG.isArray(e[1])&&e[0].length==e[1].length){for(m=0;m<e[0].length;m++){if(typeof e[0][m]=="function"){h.push(e[0][m]())}else{h.push(e[0][m])}if(typeof e[1][m]=="function"){k.push(e[1][m]())}else{k.push(e[1][m])}}}else{for(m=0;m<e.length;m++){if(JXG.isPoint(e[m])){h.push(e[m].X());k.push(e[m].Y())}else{if(JXG.isArray(e[m])&&e[m].length==2){for(m=0;m<e.length;m++){if(typeof e[m][0]=="function"){h.push(e[m][0]())}else{h.push(e[m][0])}if(typeof e[m][1]=="function"){k.push(e[m][1]())}else{k.push(e[m][1])}}}}}}j=JXG.Math.Numerics.splineDef(h,k)}return JXG.Math.Numerics.splineEval(o,h,k,j)};return i};return f.create("curve",["x",g()],d)};JXG.JSXGraph.registerElement("spline",JXG.createSpline);JXG.createRiemannsum=function(i,m,e){var d,l,g,j,k,h;h=JXG.copyAttributes(e,i.options,"riemannsum");h.curvetype="plot";g=m[0];d=JXG.createFunction(m[1],i,"");if(d==null){throw new Error("JSXGraph: JXG.createRiemannsum: argument '2' n has to be number or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]")}l=JXG.createFunction(m[2],i,"",false);if(l==null){throw new Error("JSXGraph: JXG.createRiemannsum: argument 3 'type' has to be string or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]")}j=[[0],[0]].concat(m.slice(3));k=i.create("curve",j,h);k.updateDataArray=function(){var f=JXG.Math.Numerics.riemann(g,d(),l(),this.minX(),this.maxX());this.dataX=f[0];this.dataY=f[1]};return k};JXG.JSXGraph.registerElement("riemannsum",JXG.createRiemannsum);JXG.createTracecurve=function(g,f,e){var j,i,h,d;if(f.length!=2){throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]")}i=JXG.getRef(this.board,f[0]);h=JXG.getRef(this.board,f[1]);if(i.type!=JXG.OBJECT_TYPE_GLIDER||!JXG.isPoint(h)){throw new Error("JSXGraph: Can't create trace curve with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [glider, point]")}d=JXG.copyAttributes(e,g.options,"tracecurve");d.curvetype="plot";j=g.create("curve",[[0],[0]],d);j.updateDataArray=function(){var o,n,C,l,r,u,s,B,k=d.numberpoints,w,m=i.position,q=i.slideObject,p=q.minX(),A=q.maxX(),z;n=(A-p)/k;this.dataX=[];this.dataY=[];if(q.elementClass!=JXG.OBJECT_CLASS_CURVE){k++}for(o=0;o<k;o++){C=p+o*n;u=q.X(C)/q.Z(C);s=q.Y(C)/q.Z(C);i.setPositionDirectly(JXG.COORDS_BY_USER,[u,s]);w=false;for(l in this.board.objects){r=this.board.objects[l];if(r==i){w=true}if(!w){continue}if(!r.needsRegularUpdate){continue}z=r.visProp.trace;r.visProp.trace=false;r.needsUpdate=true;r.update(true);r.visProp.trace=z;if(r==h){break}}this.dataX[o]=h.X();this.dataY[o]=h.Y()}i.position=m;w=false;for(l in this.board.objects){r=this.board.objects[l];if(r==i){w=true}if(!w){continue}if(!r.needsRegularUpdate){continue}z=r.visProp.trace;r.visProp.trace=false;r.needsUpdate=true;r.update(true);r.visProp.trace=z;if(r==h){break}}};return j};JXG.JSXGraph.registerElement("tracecurve",JXG.createTracecurve);JXG.createArc=function(j,f,e){var h,d,g;if(!(f=JXG.checkParents("arc",f,[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]))){throw new Error("JSXGraph: Can't create Arc with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"' and '"+(typeof f[2])+"'.\nPossible parent types: [point,point,point]")}d=JXG.copyAttributes(e,j.options,"arc");h=j.create("curve",[[0],[0]],d);h.elType="arc";h.parents=[];for(g=0;g<f.length;g++){if(f[g].id){h.parents.push(f[g].id)}}h.type=JXG.OBJECT_TYPE_ARC;h.center=JXG.getReference(j,f[0]);h.radiuspoint=JXG.getReference(j,f[1]);h.point2=h.radiuspoint;h.anglepoint=JXG.getReference(j,f[2]);h.point3=h.anglepoint;h.center.addChild(h);h.radiuspoint.addChild(h);h.anglepoint.addChild(h);h.useDirection=d.usedirection;h.updateDataArray=function(){var N=this.radiuspoint,M=this.center,L=this.anglepoint,V,w,W,P,q,Q,G=M.X(),E=M.Y(),D=M.Z(),I,t,s,J,U,p,o,n,l,O,H,F,S,R,T,K,u=1,m=Math.PI*0.5;q=JXG.Math.Geometry.rad(N,M,L);if((this.visProp.type=="minor"&&q>Math.PI)||(this.visProp.type=="major"&&q<Math.PI)){q=2*Math.PI-q;u=-1}if(this.useDirection){s=f[1].coords.usrCoords;J=f[3].coords.usrCoords;U=f[2].coords.usrCoords;t=(s[1]-U[1])*(s[2]-J[2])-(s[2]-U[2])*(s[1]-J[1]);if(t<0){this.radiuspoint=f[1];this.anglepoint=f[2]}else{this.radiuspoint=f[2];this.anglepoint=f[1]}}p=[N.Z(),N.X(),N.Y()];l=p.slice(0);K=M.Dist(N);G/=D;E/=D;this.dataX=[p[1]/p[0]];this.dataY=[p[2]/p[0]];while(q>JXG.Math.eps){if(q>=m){V=m;q-=m}else{V=q;q=0}w=Math.cos(u*V);W=Math.sin(u*V);P=[[1,0,0],[G*(1-w)+E*W,w,-W],[E*(1-w)-G*W,W,w]];I=JXG.Math.matVecMult(P,p);l=[I[0]/I[0],I[1]/I[0],I[2]/I[0]];H=p[1]-G;F=p[2]-E;S=l[1]-G;R=l[2]-E;T=Math.sqrt((H+S)*(H+S)+(F+R)*(F+R));if(Math.abs(R-F)>JXG.Math.eps){O=(H+S)*(K/T-0.5)/(R-F)*8/3}else{O=(F+R)*(K/T-0.5)/(H-S)*8/3}o=[1,p[1]-O*F,p[2]+O*H];n=[1,l[1]+O*R,l[2]-O*S];this.dataX=this.dataX.concat([o[1],n[1],l[1]]);this.dataY=this.dataY.concat([o[2],n[2],l[2]]);p=l.slice(0)}this.bezierDegree=3;this.updateStdform();this.updateQuadraticform()};h.Radius=function(){return this.radiuspoint.Dist(this.center)};h.getRadius=function(){return this.Radius()};h.hasPoint=function(q,p){var k=this.board.options.precision.hasPoint/(this.board.unitX),n=new JXG.Coords(JXG.COORDS_BY_SCREEN,[q,p],this.board),i=this.Radius(),o=this.center.coords.distance(JXG.COORDS_BY_USER,n),t=(Math.abs(o-i)<k),l,m,s;if(t){l=JXG.Math.Geometry.rad(this.radiuspoint,this.center,n.usrCoords.slice(1));m=0;s=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if((this.visProp.type=="minor"&&s>Math.PI)||(this.visProp.type=="major"&&s<Math.PI)){m=s;s=2*Math.PI}if(l<m||l>s){t=false}}return t};h.hasPointSector=function(p,o){var m=new JXG.Coords(JXG.COORDS_BY_SCREEN,[p,o],this.board),i=this.Radius(),n=this.center.coords.distance(JXG.COORDS_BY_USER,m),s=(n<i),k,l,q;if(s){k=JXG.Math.Geometry.rad(this.radiuspoint,this.center,m.usrCoords.slice(1));l=0;q=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if((this.visProp.type=="minor"&&q>Math.PI)||(this.visProp.type=="major"&&q<Math.PI)){l=q;q=2*Math.PI}if(k<l||k>q){s=false}}return s};h.getTextAnchor=function(){return this.center.coords};h.getLabelAnchor=function(){var l,t=10/(this.board.unitX),r=10/(this.board.unitY),p=this.point2.coords.usrCoords,i=this.center.coords.usrCoords,k=p[1]-i[1],s=p[2]-i[2],q,n,m,o;if(this.label.content!=null){this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)}l=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if((this.visProp.type=="minor"&&l>Math.PI)||(this.visProp.type=="major"&&l<Math.PI)){l=-(2*Math.PI-l)}q=new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+Math.cos(l*0.5)*k-Math.sin(l*0.5)*s,i[2]+Math.sin(l*0.5)*k+Math.cos(l*0.5)*s],this.board);n=q.usrCoords[1]-i[1];m=q.usrCoords[2]-i[2];o=Math.sqrt(n*n+m*m);n=n*(o+t)/o;m=m*(o+r)/o;return new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+n,i[2]+m],this.board)};h.updateQuadraticform=function(){var i=this.center,n=i.X(),l=i.Y(),k=this.Radius();this.quadraticform=[[n*n+l*l-k*k,-n,-l],[-n,1,0],[-l,0,1]]};h.updateStdform=function(){this.stdform[3]=0.5;this.stdform[4]=this.Radius();this.stdform[1]=-this.center.coords.usrCoords[1];this.stdform[2]=-this.center.coords.usrCoords[2];this.normalize()};h.prepareUpdate().update();return h};JXG.JSXGraph.registerElement("arc",JXG.createArc);JXG.createSemicircle=function(h,f,e){var g,i,d;if((JXG.isPoint(f[0]))&&(JXG.isPoint(f[1]))){d=JXG.copyAttributes(e,h.options,"semicircle","midpoint");i=h.create("midpoint",[f[0],f[1]],d);i.dump=false;d=JXG.copyAttributes(e,h.options,"semicircle");g=h.create("arc",[i,f[1],f[0]],d);g.elType="semicircle";g.parents=[f[0].id,f[1].id];g.subs={midpoint:i};g.midpoint=i}else{throw new Error("JSXGraph: Can't create Semicircle with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [point,point]")}return g};JXG.JSXGraph.registerElement("semicircle",JXG.createSemicircle);JXG.createCircumcircleArc=function(h,f,e){var g,i,d;if((JXG.isPoint(f[0]))&&(JXG.isPoint(f[1]))&&(JXG.isPoint(f[2]))){d=JXG.copyAttributes(e,h.options,"circumcirclearc","center");i=h.create("circumcenter",[f[0],f[1],f[2]],d);i.dump=false;d=JXG.copyAttributes(e,h.options,"circumcirclearc");d.usedirection=true;g=h.create("arc",[i,f[0],f[2],f[1]],d);g.elType="circumcirclearc";g.parents=[f[0].id,f[1].id,f[2].id];g.subs={center:i};g.center=i}else{throw new Error("JSXGraph: create Circumcircle Arc with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"' and '"+(typeof f[2])+"'.\nPossible parent types: [point,point,point]")}return g};JXG.JSXGraph.registerElement("circumcirclearc",JXG.createCircumcircleArc);JXG.createMinorArc=function(f,e,d){d.type="minor";return JXG.createArc(f,e,d)};JXG.JSXGraph.registerElement("minorarc",JXG.createMinorArc);JXG.createMajorArc=function(f,e,d){d.type="major";return JXG.createArc(f,e,d)};JXG.JSXGraph.registerElement("majorarc",JXG.createMajorArc);JXG.createSector=function(h,f,e){var g,d;if(!(JXG.isPoint(f[0])&&JXG.isPoint(f[1])&&JXG.isPoint(f[2]))){throw new Error("JSXGraph: Can't create Sector with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"' and '"+(typeof f[2])+"'.")}d=JXG.copyAttributes(e,h.options,"sector");g=h.create("curve",[[0],[0]],d);g.type=JXG.OBJECT_TYPE_SECTOR;g.elType="sector";g.parents=[f[0].id,f[1].id,f[2].id];g.point1=JXG.getReference(h,f[0]);g.center=g.point1;g.point2=JXG.getReference(h,f[1]);g.radiuspoint=g.point2;g.point3=JXG.getReference(h,f[2]);g.anglepoint=g.point3;g.point1.addChild(g);g.point2.addChild(g);g.point3.addChild(g);g.useDirection=e.usedirection;g.updateDataArray=function(){var L=this.point2,K=this.point1,J=this.point3,T,t,U,N,p=JXG.Math.Geometry.rad(L,K,J),O,E=K.X(),w=K.Y(),u=K.Z(),G,s,q,H,S,o,n,m,j,M,F,D,Q,P,R,I,l=Math.PI*0.5;if(this.useDirection){q=f[1].coords.usrCoords,H=f[3].coords.usrCoords,S=f[2].coords.usrCoords;s=(q[1]-S[1])*(q[2]-H[2])-(q[2]-S[2])*(q[1]-H[1]);if(s<0){this.point2=f[1];this.point3=f[2]}else{this.point2=f[2];this.point3=f[1]}}I=K.Dist(L);o=[L.Z(),L.X(),L.Y()];o[1]/=o[0];o[2]/=o[0];o[0]/=o[0];j=o.slice(0);E/=u;w/=u;this.dataX=[E,E+0.333*(o[1]-E),E+0.666*(o[1]-E),o[1]];this.dataY=[w,w+0.333*(o[2]-w),w+0.666*(o[2]-w),o[2]];while(p>JXG.Math.eps){if(p>=l){T=l;p-=l}else{T=p;p=0}t=Math.cos(T);U=Math.sin(T);N=[[1,0,0],[E*(1-t)+w*U,t,-U],[w*(1-t)-E*U,U,t]];G=JXG.Math.matVecMult(N,o);j=[G[0]/G[0],G[1]/G[0],G[2]/G[0]];F=o[1]-E;D=o[2]-w;Q=j[1]-E;P=j[2]-w;R=Math.sqrt((F+Q)*(F+Q)+(D+P)*(D+P));if(Math.abs(P-D)>JXG.Math.eps){M=(F+Q)*(I/R-0.5)/(P-D)*8/3}else{M=(D+P)*(I/R-0.5)/(F-Q)*8/3}n=[1,o[1]-M*D,o[2]+M*F];m=[1,j[1]+M*P,j[2]-M*Q];this.dataX=this.dataX.concat([n[1],m[1],j[1]]);this.dataY=this.dataY.concat([n[2],m[2],j[2]]);o=j.slice(0)}this.dataX=this.dataX.concat([j[1]+0.333*(E-j[1]),j[1]+0.666*(E-j[1]),E]);this.dataY=this.dataY.concat([j[2]+0.333*(w-j[2]),j[2]+0.666*(w-j[2]),w]);this.bezierDegree=3};g.Radius=function(){return this.point2.Dist(this.point1)};g.getRadius=function(){return this.Radius()};g.hasPoint=function(p,o){var j=this.board.options.precision.hasPoint/(this.board.unitX),m=new JXG.Coords(JXG.COORDS_BY_SCREEN,[p,o],this.board),i=this.Radius(),n=this.center.coords.distance(JXG.COORDS_BY_USER,m),s=(Math.abs(n-i)<j),k,l,q;if(s){k=JXG.Math.Geometry.rad(this.point2,this.center,m.usrCoords.slice(1));l=0;q=JXG.Math.Geometry.rad(this.point2,this.center,this.point3);if(k<l||k>q){s=false}}return s};g.hasPointSector=function(i,o){var n=new JXG.Coords(JXG.COORDS_BY_SCREEN,[i,o],this.board),k=this.Radius(),m=this.point1.coords.distance(JXG.COORDS_BY_USER,n),j=(m<k),l;if(j){l=JXG.Math.Geometry.rad(this.point2,this.point1,n.usrCoords.slice(1));if(l>JXG.Math.Geometry.rad(this.point2,this.point1,this.point3)){j=false}}return j};g.getTextAnchor=function(){return this.point1.coords};g.getLabelAnchor=function(){var k=JXG.Math.Geometry.rad(this.point2,this.point1,this.point3),s=13/(this.board.unitX),q=13/(this.board.unitY),o=this.point2.coords.usrCoords,i=this.point1.coords.usrCoords,j=o[1]-i[1],r=o[2]-i[2],p,m,l,n;if(this.label.content!=null){this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)}p=new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+Math.cos(k*0.5)*j-Math.sin(k*0.5)*r,i[2]+Math.sin(k*0.5)*j+Math.cos(k*0.5)*r],this.board);m=p.usrCoords[1]-i[1];l=p.usrCoords[2]-i[2];n=Math.sqrt(m*m+l*l);m=m*(n+s)/n;l=l*(n+q)/n;return new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+m,i[2]+l],this.board)};g.prepareUpdate().update();return g};JXG.JSXGraph.registerElement("sector",JXG.createSector);JXG.createCircumcircleSector=function(h,f,e){var g,i,d;if((JXG.isPoint(f[0]))&&(JXG.isPoint(f[1]))&&(JXG.isPoint(f[2]))){d=JXG.copyAttributes(e,h.options,"circumcirclesector","center");i=h.create("circumcenter",[f[0],f[1],f[2]],d);i.dump=false;d=JXG.copyAttributes(e,h.options,"circumcirclesector");g=h.create("sector",[i,f[0],f[2],f[1]],d);g.elType="circumcirclesector";g.parents=[f[0].id,f[1].id,f[2].id];g.center=i;g.subs={center:i}}else{throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"' and '"+(typeof f[2])+"'.")}return g};JXG.JSXGraph.registerElement("circumcirclesector",JXG.createCircumcircleSector);JXG.createAngle=function(l,n,j){var g,f,e,o,m,h,k,d;if((JXG.isPoint(n[0]))&&(JXG.isPoint(n[1]))&&(JXG.isPoint(n[2]))){m=JXG.copyAttributes(j,l.options,"angle");o=m.name;if(typeof o=="undefined"||o==""){o=l.generateName({type:JXG.OBJECT_TYPE_ANGLE});m.name=o}h=JXG.copyAttributes(j,l.options,"angle","radiuspoint");f=l.create("point",[0,1,0],h);f.dump=false;h=JXG.copyAttributes(j,l.options,"angle","pointsquare");e=l.create("point",[0,1,1],h);e.dump=false;g=l.create("sector",[n[1],f,n[2]],m);g.elType="angle";g.parents=[n[0].id,n[1].id,n[2].id];g.subs={point:f,pointsquare:e};g.updateDataArraySquare=function(){var s=n[1],q,p,i,t;q=JXG.Math.crossProduct(e.coords.usrCoords,s.coords.usrCoords);p=[-f.X()*q[1]-f.Y()*q[2],f.Z()*q[1],f.Z()*q[2]];q=JXG.Math.crossProduct(f.coords.usrCoords,s.coords.usrCoords);i=[-e.X()*q[1]-e.Y()*q[2],e.Z()*q[1],e.Z()*q[2]];t=JXG.Math.crossProduct(p,i);t[1]/=t[0];t[2]/=t[0];this.dataX=[s.X(),f.X(),t[1],e.X(),s.X()];this.dataY=[s.Y(),f.Y(),t[2],e.Y(),s.Y()];this.bezierDegree=1};g.updateDataArrayNone=function(){this.dataX=[NaN];this.dataY=[NaN];this.bezierDegree=1};g.updateDataArraySector=g.updateDataArray;g.updateDataArray=function(){var i=this.visProp.type,p=JXG.Math.Geometry.trueAngle(n[0],n[1],n[2]);if(Math.abs(p-90)<this.visProp.orthosensitivity){i=this.visProp.orthotype}if(i=="none"){this.updateDataArrayNone()}else{if(i==="square"){this.updateDataArraySquare()}else{if(i==="sector"){this.updateDataArraySector()}else{if(i==="sectordot"){this.updateDataArraySector();if(this.dot.visProp.visible===false){this.dot.setProperty({visible:true})}}}}}if(i!=="sectordot"&&this.dot.visProp.visible===true){this.dot.setProperty({visible:false})}};f.addConstraint([function(){var i=n[0],p=n[1],q=JXG.evaluate(g.visProp.radius),s=p.Dist(i);return[p.X()+(i.X()-p.X())*q/s,p.Y()+(i.Y()-p.Y())*q/s]}]);e.addConstraint([function(){var i=n[2],p=n[1],q=JXG.evaluate(g.visProp.radius),s=p.Dist(i);return[p.X()+(i.X()-p.X())*q/s,p.Y()+(i.Y()-p.Y())*q/s]}]);g.radiuspoint=f;g.point=f;g.pointsquare=e;d=JXG.copyAttributes(j,l.options,"angle","dot");g.dot=l.create("point",[function(){if(JXG.exists(g.dot)&&g.dot.visProp.visible===false){return[0,0]}var s=f.coords.usrCoords,p=JXG.Math.Geometry.rad(n[0],n[1],n[2])*0.5,i=n[1].X(),r=n[1].Y(),q=[[1,0,0],[i-0.5*i*Math.cos(p)+0.5*r*Math.sin(p),Math.cos(p)*0.5,-Math.sin(p)*0.5],[r-0.5*i*Math.sin(p)-0.5*r*Math.cos(p),Math.sin(p)*0.5,Math.cos(p)*0.5]];return JXG.Math.matVecMult(q,s)}],d);g.dot.dump=false;g.subs.dot=g.dot;for(k=0;k<3;k++){JXG.getRef(l,n[k]).addChild(f);JXG.getRef(l,n[k]).addChild(g.dot)}g.type=JXG.OBJECT_TYPE_ANGLE;JXG.getRef(l,n[0]).addChild(g);g.rot=l.create("transform",[function(){return 0.5*JXG.Math.Geometry.rad(g.point2,g.point1,g.point3)},g.point1],{type:"rotate"});g.getLabelAnchor=function(){var t=12,s=12,q=this.point1.coords.usrCoords,r,p,i,u;if(this.label.content!=null){this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)}if(JXG.exists(this.visProp.label.fontSize)){t=this.visProp.label.fontSize;s=this.visProp.label.fontSize}t/=this.board.unitX;s/=this.board.unitY;this.rot.update();u=JXG.Math.matVecMult(this.rot.matrix,this.point2.coords.usrCoords);r=u[1]-q[1];p=u[2]-q[2];i=Math.sqrt(r*r+p*p);r=r*(i+t)/i;p=p*(i+s)/i;return new JXG.Coords(JXG.COORDS_BY_USER,[q[1]+r,q[2]+p],this.board)};g.Value=function(){return JXG.Math.Geometry.rad(this.point2,this.point1,this.point3)};g.methodMap=JXG.deepCopy(g.methodMap,{Value:"Value"})}else{throw new Error("JSXGraph: Can't create angle with parent types '"+(typeof n[0])+"' and '"+(typeof n[1])+"' and '"+(typeof n[2])+"'.")}return g};JXG.JSXGraph.registerElement("angle",JXG.createAngle);JXG.Composition=function(h){var g=["setProperty","prepareUpdate","updateRenderer","update","highlight","noHighlight"],d=function(e){return function(){var j;for(j in f.elements){if(JXG.exists(f.elements[j][e])){f.elements[j][e].apply(f.elements[j],arguments)}}return f}},f=this,i;for(i=0;i<g.length;i++){this[g[i]]=d(g[i])}this.elements={};for(i in h){if(h.hasOwnProperty(i)){this.add(i,h[i])}}this.dump=true;this.subs={}};JXG.extend(JXG.Composition.prototype,{add:function(e,d){if(!JXG.exists(this[e])&&JXG.exists(d)){if(JXG.exists(d.id)){this.elements[d.id]=d}else{this.elements[e]=d}this[e]=d;return true}return false},remove:function(g){var d=false,f;for(f in this.elements){if(this.elements[f].id===this[g].id){d=true;break}}if(d){delete this.elements[this[g].id];delete this[g]}return d},getParents:function(){return this.parents},getType:function(){return this.elType},getAttributes:function(){var d={},f;for(f in this.subs){d[f]=this.subs[f].visProp}return this.attr}});JXG.createOrthogonalProjection=function(h,f,e){var d,i,g,j;if(JXG.isPoint(f[0])&&f[1].elementClass==JXG.OBJECT_CLASS_LINE){i=f[0];d=f[1]}else{if(JXG.isPoint(f[1])&&f[0].elementClass==JXG.OBJECT_CLASS_LINE){i=f[1];d=f[0]}else{throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [point,line]")}}attr=JXG.copyAttributes(e,h.options,"orthogonalprojection");g=h.create("point",[function(){return JXG.Math.Geometry.projectPointToLine(i,d,h)}],e);i.addChild(g);d.addChild(g);g.elType="orthogonalprojection";g.parents=[i.id,g.id];g.update();g.generatePolynomial=function(){var l=d.point1.symbolic.x;var k=d.point1.symbolic.y;var r=d.point2.symbolic.x;var q=d.point2.symbolic.y;var t=i.symbolic.x;var s=i.symbolic.y;var o=g.symbolic.x;var m=g.symbolic.y;var p="("+k+")*("+o+")-("+k+")*("+r+")+("+m+")*("+r+")-("+l+")*("+m+")+("+l+")*("+q+")-("+o+")*("+q+")";var n="("+s+")*("+k+")-("+s+")*("+q+")-("+m+")*("+k+")+("+m+")*("+q+")+("+t+")*("+l+")-("+t+")*("+r+")-("+o+")*("+l+")+("+o+")*("+r+")";return[p,n]};return g};JXG.createPerpendicular=function(i,h,g){var j,e,f,d;h[0]=JXG.getReference(i,h[0]);h[1]=JXG.getReference(i,h[1]);if(JXG.isPoint(h[0])&&h[1].elementClass==JXG.OBJECT_CLASS_LINE){e=h[1];j=h[0]}else{if(JXG.isPoint(h[1])&&h[0].elementClass==JXG.OBJECT_CLASS_LINE){e=h[0];j=h[1]}else{throw new Error("JSXGraph: Can't create perpendicular with parent types '"+(typeof h[0])+"' and '"+(typeof h[1])+"'.\nPossible parent types: [line,point]")}}d=JXG.copyAttributes(g,i.options,"perpendicular");f=JXG.createLine(i,[function(){return e.stdform[2]*j.X()-e.stdform[1]*j.Y()},function(){return -e.stdform[2]*j.Z()},function(){return e.stdform[1]*j.Z()}],d);f.elType="perpendicular";f.parents=[e.id,j.id];return f};JXG.createPerpendicularPoint=function(h,f,e){var d,i,g;if(JXG.isPoint(f[0])&&f[1].elementClass==JXG.OBJECT_CLASS_LINE){i=f[0];d=f[1]}else{if(JXG.isPoint(f[1])&&f[0].elementClass==JXG.OBJECT_CLASS_LINE){i=f[1];d=f[0]}else{throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [point,line]")}}g=h.create("point",[function(){return JXG.Math.Geometry.perpendicular(d,i,h)[0]}],e);i.addChild(g);d.addChild(g);g.elType="perpendicularpoint";g.parents=[i.id,d.id];g.update();g.generatePolynomial=function(){var k=d.point1.symbolic.x;var j=d.point1.symbolic.y;var q=d.point2.symbolic.x;var p=d.point2.symbolic.y;var s=i.symbolic.x;var r=i.symbolic.y;var n=g.symbolic.x;var l=g.symbolic.y;var o="("+j+")*("+n+")-("+j+")*("+q+")+("+l+")*("+q+")-("+k+")*("+l+")+("+k+")*("+p+")-("+n+")*("+p+")";var m="("+r+")*("+j+")-("+r+")*("+p+")-("+l+")*("+j+")+("+l+")*("+p+")+("+s+")*("+k+")-("+s+")*("+q+")-("+n+")*("+k+")+("+n+")*("+q+")";return[o,m]};return g};JXG.createPerpendicularSegment=function(j,h,g){var k,e,f,i,d;h[0]=JXG.getReference(j,h[0]);h[1]=JXG.getReference(j,h[1]);if(JXG.isPoint(h[0])&&h[1].elementClass==JXG.OBJECT_CLASS_LINE){e=h[1];k=h[0]}else{if(JXG.isPoint(h[1])&&h[0].elementClass==JXG.OBJECT_CLASS_LINE){e=h[0];k=h[1]}else{throw new Error("JSXGraph: Can't create perpendicular with parent types '"+(typeof h[0])+"' and '"+(typeof h[1])+"'.\nPossible parent types: [line,point]")}}d=JXG.copyAttributes(g,j.options,"perpendicularsegment","point");i=JXG.createPerpendicularPoint(j,[e,k],d);i.dump=false;if(!JXG.exists(g.layer)){g.layer=j.options.layer.line}d=JXG.copyAttributes(g,j.options,"perpendicularsegment");f=JXG.createLine(j,[function(){return(JXG.Math.Geometry.perpendicular(e,k,j)[1]?[i,k]:[k,i])}],d);f.point=i;f.elType="perpendicularsegment";f.parents=[k.id,e.id];f.subs={point:i};return f};JXG.createMidpoint=function(i,g,f){var e,d,h;if(g.length==2&&JXG.isPoint(g[0])&&JXG.isPoint(g[1])){e=g[0];d=g[1]}else{if(g.length==1&&g[0].elementClass==JXG.OBJECT_CLASS_LINE){e=g[0].point1;d=g[0].point2}else{throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]")}}h=i.create("point",[function(){var j=e.coords.usrCoords[1]+d.coords.usrCoords[1];if(isNaN(j)||Math.abs(e.coords.usrCoords[0])<JXG.Math.eps||Math.abs(d.coords.usrCoords[0])<JXG.Math.eps){return NaN}else{return j*0.5}},function(){var j=e.coords.usrCoords[2]+d.coords.usrCoords[2];if(isNaN(j)||Math.abs(e.coords.usrCoords[0])<JXG.Math.eps||Math.abs(d.coords.usrCoords[0])<JXG.Math.eps){return NaN}else{return j*0.5}}],f);e.addChild(h);d.addChild(h);h.elType="midpoint";h.parents=[e.id,d.id];h.prepareUpdate().update();h.generatePolynomial=function(){var l=e.symbolic.x;var k=e.symbolic.y;var n=d.symbolic.x;var m=d.symbolic.y;var p=h.symbolic.x;var o=h.symbolic.y;var j="("+k+")*("+p+")-("+k+")*("+n+")+("+o+")*("+n+")-("+l+")*("+o+")+("+l+")*("+m+")-("+p+")*("+m+")";var q="("+l+")^2 - 2*("+l+")*("+p+")+("+k+")^2-2*("+k+")*("+o+")-("+n+")^2+2*("+n+")*("+p+")-("+m+")^2+2*("+m+")*("+o+")";return[j,q]};return h};JXG.createParallelPoint=function(h,g,f){var e,d,j,i;if(g.length==3&&g[0].elementClass==JXG.OBJECT_CLASS_POINT&&g[1].elementClass==JXG.OBJECT_CLASS_POINT&&g[2].elementClass==JXG.OBJECT_CLASS_POINT){e=g[0];d=g[1];j=g[2]}else{if(g[0].elementClass==JXG.OBJECT_CLASS_POINT&&g[1].elementClass==JXG.OBJECT_CLASS_LINE){j=g[0];e=g[1].point1;d=g[1].point2}else{if(g[1].elementClass==JXG.OBJECT_CLASS_POINT&&g[0].elementClass==JXG.OBJECT_CLASS_LINE){j=g[1];e=g[0].point1;d=g[0].point2}else{throw new Error("JSXGraph: Can't create parallel point with parent types '"+(typeof g[0])+"', '"+(typeof g[1])+"' and '"+(typeof g[2])+"'.\nPossible parent types: [line,point], [point,point,point]")}}}i=h.create("point",[function(){return j.coords.usrCoords[1]+d.coords.usrCoords[1]-e.coords.usrCoords[1]},function(){return j.coords.usrCoords[2]+d.coords.usrCoords[2]-e.coords.usrCoords[2]}],f);e.addChild(i);d.addChild(i);j.addChild(i);i.elType="parallelpoint";i.parents=[e.id,d.id,j.id];i.prepareUpdate().update();i.generatePolynomial=function(){var l=e.symbolic.x;var k=e.symbolic.y;var t=d.symbolic.x;var s=d.symbolic.y;var n=j.symbolic.x;var m=j.symbolic.y;var q=i.symbolic.x;var o=i.symbolic.y;var r="("+s+")*("+q+")-("+s+")*("+n+")-("+k+")*("+q+")+("+k+")*("+n+")-("+o+")*("+t+")+("+o+")*("+l+")+("+m+")*("+t+")-("+m+")*("+l+")";var p="("+o+")*("+l+")-("+o+")*("+n+")-("+s+")*("+l+")+("+s+")*("+n+")-("+q+")*("+k+")+("+q+")*("+m+")+("+t+")*("+k+")-("+t+")*("+m+")";return[r,p]};return i};JXG.createParallel=function(j,h,g){var k,f,i,e,d;k=null;if(h.length==3){k=h[2];e=function(){return JXG.Math.crossProduct(h[0].coords.usrCoords,h[1].coords.usrCoords)}}else{if(h[0].elementClass==JXG.OBJECT_CLASS_POINT){k=h[0];e=function(){return h[1].stdform}}else{if(h[1].elementClass==JXG.OBJECT_CLASS_POINT){k=h[1];e=function(){return h[0].stdform}}}}if(!JXG.exists(g.layer)){g.layer=j.options.layer.line}d=JXG.copyAttributes(g,j.options,"parallel","point");f=j.create("point",[function(){return JXG.Math.crossProduct([1,0,0],e())}],d);f.isDraggable=true;d=JXG.copyAttributes(g,j.options,"parallel");i=j.create("line",[k,f],d);i.elType="parallel";i.parents=[h[0].id,h[1].id];if(h.length===3){i.parents.push(h[2].id)}i.point=f;return i};JXG.createArrowParallel=function(g,f,d){var i;try{d.firstArrow=false;d.lastArrow=true;i=JXG.createParallel(g,f,d).setStraight(false,false);i.elType="arrowparallel";return i}catch(h){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [line,point], [point,point,point]")}};JXG.createNormal=function(o,s,j){var d,r,h,k,q,e,t;if(s.length==1){d=s[0];r=d.slideObject}else{if(s.length==2){if(JXG.isPoint(s[0])){d=s[0];r=s[1]}else{if(JXG.isPoint(s[1])){r=s[0];d=s[1]}else{throw new Error("JSXGraph: Can't create normal with parent types '"+(typeof s[0])+"' and '"+(typeof s[1])+"'.\nPossible parent types: [point,line], [point,circle], [glider]")}}}else{throw new Error("JSXGraph: Can't create normal with parent types '"+(typeof s[0])+"' and '"+(typeof s[1])+"'.\nPossible parent types: [point,line], [point,circle], [glider]")}}q=JXG.copyAttributes(j,o.options,"normal");if(r.elementClass==JXG.OBJECT_CLASS_LINE){t=JXG.copyAttributes(j,o.options,"normal","point");e=o.create("point",[function(){var f=JXG.Math.crossProduct([1,0,0],r.stdform);return[f[0],-f[2],f[1]]}],t);e.isDraggable=true;h=o.create("line",[d,e],q);h.point=e}else{if(r.elementClass==JXG.OBJECT_CLASS_CIRCLE){h=o.create("line",[r.midpoint,d],q)}else{if(r.elementClass==JXG.OBJECT_CLASS_CURVE){if(r.visProp.curvetype!="plot"){var m=r.X;var n=r.Y;h=o.create("line",[function(){return -d.X()*o.D(m)(d.position)-d.Y()*o.D(n)(d.position)},function(){return o.D(m)(d.position)},function(){return o.D(n)(d.position)}],q)}else{h=o.create("line",[function(){var g=Math.floor(d.position);var f=d.position-g;if(g==r.numberPoints-1){g--;f=1}if(g<0){return 1}return(r.Y(g)+f*(r.Y(g+1)-r.Y(g)))*(r.Y(g)-r.Y(g+1))-(r.X(g)+f*(r.X(g+1)-r.X(g)))*(r.X(g+1)-r.X(g))},function(){var f=Math.floor(d.position);if(f==r.numberPoints-1){f--}if(f<0){return 0}return r.X(f+1)-r.X(f)},function(){var f=Math.floor(d.position);if(f==r.numberPoints-1){f--}if(f<0){return 0}return r.Y(f+1)-r.Y(f)}],q)}}else{if(r.type==JXG.OBJECT_TYPE_TURTLE){h=o.create("line",[function(){var l=Math.floor(d.position);var f=d.position-l;var p,g;for(g=0;g<r.objects.length;g++){p=r.objects[g];if(p.type==JXG.OBJECT_TYPE_CURVE){if(l<p.numberPoints){break}l-=p.numberPoints}}if(l==p.numberPoints-1){l--;f=1}if(l<0){return 1}return(p.Y(l)+f*(p.Y(l+1)-p.Y(l)))*(p.Y(l)-p.Y(l+1))-(p.X(l)+f*(p.X(l+1)-p.X(l)))*(p.X(l+1)-p.X(l))},function(){var g=Math.floor(d.position);var l,f;for(f=0;f<r.objects.length;f++){l=r.objects[f];if(l.type==JXG.OBJECT_TYPE_CURVE){if(g<l.numberPoints){break}g-=l.numberPoints}}if(g==l.numberPoints-1){g--}if(g<0){return 0}return l.X(g+1)-l.X(g)},function(){var g=Math.floor(d.position);var l,f;for(f=0;f<r.objects.length;f++){l=r.objects[f];if(l.type==JXG.OBJECT_TYPE_CURVE){if(g<l.numberPoints){break}g-=l.numberPoints}}if(g==l.numberPoints-1){g--}if(g<0){return 0}return l.Y(g+1)-l.Y(g)}],q)}else{throw new Error("JSXGraph: Can't create normal with parent types '"+(typeof s[0])+"' and '"+(typeof s[1])+"'.\nPossible parent types: [point,line], [point,circle], [glider]")}}}}h.parents=[];for(k=0;k<s.length;k++){h.parents.push(s[k].id)}h.elType="normal";return h};JXG.createBisector=function(j,g,f){var k,e,h,d;if(g[0].elementClass==JXG.OBJECT_CLASS_POINT&&g[1].elementClass==JXG.OBJECT_CLASS_POINT&&g[2].elementClass==JXG.OBJECT_CLASS_POINT){d=JXG.copyAttributes(f,j.options,"bisector","point");k=j.create("point",[function(){return JXG.Math.Geometry.angleBisector(g[0],g[1],g[2],j)}],d);k.dump=false;for(h=0;h<3;h++){g[h].addChild(k)}if(!JXG.exists(f.layer)){f.layer=j.options.layer.line}d=JXG.copyAttributes(f,j.options,"bisector");e=JXG.createLine(j,[g[1],k],d);e.point=k;e.elType="bisector";e.parents=[g[0].id,g[1].id,g[2].id];e.subs={point:k};return e}else{throw new Error("JSXGraph: Can't create angle bisector with parent types '"+(typeof g[0])+"' and '"+(typeof g[1])+"'.\nPossible parent types: [point,point,point]")}};JXG.createAngularBisectorsOfTwoLines=function(i,k,g){var f=JXG.getReference(i,k[0]),e=JXG.getReference(i,k[1]),d,l,j,h;if(f.elementClass!=JXG.OBJECT_CLASS_LINE||e.elementClass!=JXG.OBJECT_CLASS_LINE){throw new Error("JSXGraph: Can't create angle bisectors of two lines with parent types '"+(typeof k[0])+"' and '"+(typeof k[1])+"'.\nPossible parent types: [line,line]")}if(!JXG.exists(g.layer)){g.layer=i.options.layer.line}j=JXG.copyAttributes(g,i.options,"bisectorlines","line1");d=i.create("line",[function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[0]/n-e.stdform[0]/m},function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[1]/n-e.stdform[1]/m},function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[2]/n-e.stdform[2]/m}],j);if(!JXG.exists(g.layer)){g.layer=i.options.layer.line}j=JXG.copyAttributes(g,i.options,"bisectorlines","line2");l=i.create("line",[function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[0]/n+e.stdform[0]/m},function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[1]/n+e.stdform[1]/m},function(){var n=Math.sqrt(f.stdform[1]*f.stdform[1]+f.stdform[2]*f.stdform[2]);var m=Math.sqrt(e.stdform[1]*e.stdform[1]+e.stdform[2]*e.stdform[2]);return f.stdform[2]/n+e.stdform[2]/m}],j);h=new JXG.Composition({line1:d,line2:l});d.dump=false;l.dump=false;h.elType="bisectorlines";h.parents=[f.id,e.id];h.subs={line1:d,line2:l};return h};JXG.createCircumcircleMidpoint=function(g,e,d){var h,f;if(e[0].elementClass==JXG.OBJECT_CLASS_POINT&&e[1].elementClass==JXG.OBJECT_CLASS_POINT&&e[2].elementClass==JXG.OBJECT_CLASS_POINT){h=JXG.createPoint(g,[function(){return JXG.Math.Geometry.circumcenterMidpoint(e[0],e[1],e[2],g)}],d);for(f=0;f<3;f++){e[f].addChild(h)}h.elType="circumcenter";h.parents=[e[0].id,e[1].id,e[2].id];h.generatePolynomial=function(){var j=a.symbolic.x;var i=a.symbolic.y;var r=b.symbolic.x;var q=b.symbolic.y;var l=c.symbolic.x;var k=c.symbolic.y;var o=h.symbolic.x;var m=h.symbolic.y;var p=["((",o,")-(",j,"))^2+((",m,")-(",i,"))^2-((",o,")-(",r,"))^2-((",m,")-(",q,"))^2"].join("");var n=["((",o,")-(",j,"))^2+((",m,")-(",i,"))^2-((",o,")-(",l,"))^2-((",m,")-(",k,"))^2"].join("");return[p,n]};return h}else{throw new Error("JSXGraph: Can't create circumcircle midpoint with parent types '"+(typeof e[0])+"', '"+(typeof e[1])+"' and '"+(typeof e[2])+"'.\nPossible parent types: [point,point,point]")}};JXG.createIncenter=function(g,f,e){var h,k,d,j,i;if(f.length>=3&&JXG.isPoint(f[0])&&JXG.isPoint(f[1])&&JXG.isPoint(f[2])){d=f[0];j=f[1];i=f[2];h=g.create("point",[function(){var m,l,n;m=Math.sqrt((j.X()-i.X())*(j.X()-i.X())+(j.Y()-i.Y())*(j.Y()-i.Y()));l=Math.sqrt((d.X()-i.X())*(d.X()-i.X())+(d.Y()-i.Y())*(d.Y()-i.Y()));n=Math.sqrt((j.X()-d.X())*(j.X()-d.X())+(j.Y()-d.Y())*(j.Y()-d.Y()));return new JXG.Coords(JXG.COORDS_BY_USER,[(m*d.X()+l*j.X()+n*i.X())/(m+l+n),(m*d.Y()+l*j.Y()+n*i.Y())/(m+l+n)],g)}],e);h.elType="incenter";h.parents=[f[0].id,f[1].id,f[2].id]}else{throw new Error("JSXGraph: Can't create incenter with parent types '"+(typeof f[0])+"', '"+(typeof f[1])+"' and '"+(typeof f[2])+"'.\nPossible parent types: [point,point,point]")}return h};JXG.createCircumcircle=function(h,g,f){var j,k,d;try{d=JXG.copyAttributes(f,h.options,"circumcircle","center");j=JXG.createCircumcircleMidpoint(h,g,d);j.dump=false;if(!JXG.exists(f.layer)){f.layer=h.options.layer.circle}d=JXG.copyAttributes(f,h.options,"circumcircle");k=JXG.createCircle(h,[j,g[0]],d);k.elType="circumcircle";k.parents=[g[0].id,g[1].id,g[2].id];k.subs={center:j}}catch(i){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+(typeof g[0])+"', '"+(typeof g[1])+"' and '"+(typeof g[2])+"'.\nPossible parent types: [point,point,point]")}return k};JXG.createIncircle=function(i,h,f){var k,l,d,g;try{d=JXG.copyAttributes(f,i.options,"incircle","center");k=JXG.createIncenter(i,h,d);k.dump=false;if(!JXG.exists(f.layer)){f.layer=i.options.layer.circle}d=JXG.copyAttributes(f,i.options,"incircle");l=JXG.createCircle(i,[k,function(){var m=Math.sqrt((h[1].X()-h[2].X())*(h[1].X()-h[2].X())+(h[1].Y()-h[2].Y())*(h[1].Y()-h[2].Y())),e=Math.sqrt((h[0].X()-h[2].X())*(h[0].X()-h[2].X())+(h[0].Y()-h[2].Y())*(h[0].Y()-h[2].Y())),o=Math.sqrt((h[1].X()-h[0].X())*(h[1].X()-h[0].X())+(h[1].Y()-h[0].Y())*(h[1].Y()-h[0].Y())),n=(m+e+o)/2;return Math.sqrt(((n-m)*(n-e)*(n-o))/n)}],d);l.elType="incircle";l.parents=[h[0].id,h[1].id,h[2].id];l.center=k;l.subs={center:k}}catch(j){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+(typeof h[0])+"', '"+(typeof h[1])+"' and '"+(typeof h[2])+"'.\nPossible parent types: [point,point,point]")}return l};JXG.createReflection=function(h,f,e){var d,j,i,g;if(f[0].elementClass==JXG.OBJECT_CLASS_POINT&&f[1].elementClass==JXG.OBJECT_CLASS_LINE){j=f[0];d=f[1]}else{if(f[1].elementClass==JXG.OBJECT_CLASS_POINT&&f[0].elementClass==JXG.OBJECT_CLASS_LINE){j=f[1];d=f[0]}else{throw new Error("JSXGraph: Can't create reflection point with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.\nPossible parent types: [line,point]")}}g=JXG.createTransform(h,[d],{type:"reflect"});i=JXG.createPoint(h,[j,g],e);j.addChild(i);d.addChild(i);i.elType="reflection";i.parents=[f[0].id,f[1].id];i.prepareUpdate().update();i.generatePolynomial=function(){var l=d.point1.symbolic.x;var k=d.point1.symbolic.y;var r=d.point2.symbolic.x;var q=d.point2.symbolic.y;var t=j.symbolic.x;var s=j.symbolic.y;var n=i.symbolic.x;var m=i.symbolic.y;var p=["((",m,")-(",s,"))*((",k,")-(",q,"))+((",l,")-(",r,"))*((",n,")-(",t,"))"].join("");var o=["((",n,")-(",l,"))^2+((",m,")-(",k,"))^2-((",t,")-(",l,"))^2-((",s,")-(",k,"))^2"].join("");return[p,o]};return i};JXG.createMirrorPoint=function(g,e,d){var h,f;if(JXG.isPoint(e[0])&&JXG.isPoint(e[1])){h=JXG.createPoint(g,[function(){return JXG.Math.Geometry.rotation(e[0],e[1],Math.PI,g)}],d);for(f=0;f<2;f++){e[f].addChild(h)}h.elType="mirrorpoint";h.parents=[e[0].id,e[1].id]}else{throw new Error("JSXGraph: Can't create mirror point with parent types '"+(typeof e[0])+"' and '"+(typeof e[1])+"'.\nPossible parent types: [point,point]")}h.prepareUpdate().update();return h};JXG.createIntegral=function(i,z,m){var w,r,u,g=0,f=0,e,d,l,k,q=1,v,n,h,A,j,o,s;if(JXG.isArray(z[0])&&z[1].elementClass==JXG.OBJECT_CLASS_CURVE){w=z[0];r=z[1]}else{if(JXG.isArray(z[1])&&z[0].elementClass==JXG.OBJECT_CLASS_CURVE){w=z[1];r=z[0]}else{throw new Error("JSXGraph: Can't create integral with parent types '"+(typeof z[0])+"' and '"+(typeof z[1])+"'.\nPossible parent types: [[number|function,number|function],curve]")}}g=w[0];f=w[1];if(JXG.isFunction(g)){e=g;d=function(){return r.Y(e())};g=e()}else{e=g;d=r.Y(g)}if(JXG.isFunction(g)){l=f;k=function(){return r.Y(l())};f=l()}else{l=f;k=r.Y(f)}if(f<g){q=-1}u=JXG.copyAttributes(m,i.options,"integral","curveLeft");v=i.create("glider",[e,d,r],u);if(JXG.isFunction(e)){v.hideElement()}u=JXG.copyAttributes(m,i.options,"integral","baseLeft");n=i.create("point",[function(){return v.X()},0],u);u=JXG.copyAttributes(m,i.options,"integral","curveRight");h=i.create("glider",[l,k,r],u);if(JXG.isFunction(l)){h.hideElement()}u=JXG.copyAttributes(m,i.options,"integral","baseRight");A=i.create("point",[function(){return h.X()},0],u);u=JXG.copyAttributes(m,i.options,"integral");if(u.withLabel!==false){u=JXG.copyAttributes(m,i.options,"integral","label");o=i.create("text",[function(){return h.X()+0.2},function(){return h.Y()-0.8},function(){var p=JXG.Math.Numerics.I([n.X(),A.X()],r.Y);return"&int; = "+(p).toFixed(4)}],u);o.dump=false;v.addChild(o);h.addChild(o)}u=JXG.copyAttributes(m,i.options,"integral");s=i.create("curve",[[0],[0]],u);v.dump=false;n.dump=false;h.dump=false;A.dump=false;s.elType="integral";s.parents=[r.id,w];s.subs={curveLeft:v,baseLeft:n,curveRight:h,baseRight:A};if(u.withLabel){s.subs.label=o}s.updateDataArray=function(){var p,D,B,C,t;if(n.X()<A.X()){C=n.X();t=A.X()}else{C=A.X();t=n.X()}p=[C,C];D=[0,r.Y(C)];for(B=0;B<r.numberPoints;B++){if((C<=r.points[B].usrCoords[1])&&(r.points[B].usrCoords[1]<=t)){p.push(r.points[B].usrCoords[1]);D.push(r.points[B].usrCoords[2])}}p.push(t);D.push(r.Y(t));p.push(t);D.push(0);p.push(C);D.push(0);this.dataX=p;this.dataY=D};v.addChild(s);h.addChild(s);s.baseLeft=n;s.baseRight=A;s.curveLeft=v;s.curveRight=h;s.label={content:o};return s};JXG.createLocus=function(f,e,d){var h,g;if(JXG.isArray(e)&&e.length==1&&e[0].elementClass==JXG.OBJECT_CLASS_POINT){g=e[0]}else{throw new Error("JSXGraph: Can't create locus with parent of type other than point.\nPossible parent types: [point]")}h=f.create("curve",[[null],[null]],d);h.dontCallServer=false;h.elType="locus";h.parents=[g.id];h.updateDataArray=function(){if(h.board.mode>0){return}var j=JXG.Math.Symbolic.generatePolynomials(f,g,true).join("|");if(j===h.spe){return}h.spe=j;var i=function(m,o,l,n){h.dataX=m;h.dataY=o;h.eq=l;h.ctime=n;h.generatePolynomial=(function(p){return function(r){var q="("+r.symbolic.x+")",u="("+r.symbolic.y+")",t=[],s;for(s=0;s<p.length;s++){t[s]=p[s].replace(/\*\*/g,"^").replace(/x/g,q).replace(/y/g,u)}return t}})(l)},k=JXG.Math.Symbolic.geometricLocusByGroebnerBase(f,g,i);i(k.datax,k.datay,k.polynomial,k.exectime)};return h};JXG.createGrid=function(g,f,e){var h,d;d=JXG.copyAttributes(e,g.options,"grid");h=g.create("curve",[[null],[null]],d);h.elType="grid";h.parents=[];h.type=JXG.OBJECT_TYPE_GRID;h.updateDataArray=function(){var j=this.visProp.gridx,n=this.visProp.gridy,m=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],g),l=new JXG.Coords(JXG.COORDS_BY_SCREEN,[g.canvasWidth,g.canvasHeight],g),k;g.options.grid.hasGrid=true;m.setCoordinates(JXG.COORDS_BY_USER,[Math.floor(m.usrCoords[1]/j)*j,Math.ceil(m.usrCoords[2]/n)*n]);l.setCoordinates(JXG.COORDS_BY_USER,[Math.ceil(l.usrCoords[1]/j)*j,Math.floor(l.usrCoords[2]/n)*n]);h.dataX=[];h.dataY=[];for(k=m.usrCoords[2];k>l.usrCoords[2]-n;k-=n){h.dataX.push(m.usrCoords[1],l.usrCoords[1],NaN);h.dataY.push(k,k,NaN)}for(k=m.usrCoords[1];k<l.usrCoords[1]+j;k+=j){h.dataX.push(k,k,NaN);h.dataY.push(m.usrCoords[2],l.usrCoords[2],NaN)}};h.hasPoint=function(){return false};g.grids.push(h);return h};JXG.JSXGraph.registerElement("arrowparallel",JXG.createArrowParallel);JXG.JSXGraph.registerElement("bisector",JXG.createBisector);JXG.JSXGraph.registerElement("bisectorlines",JXG.createAngularBisectorsOfTwoLines);JXG.JSXGraph.registerElement("circumcircle",JXG.createCircumcircle);JXG.JSXGraph.registerElement("circumcirclemidpoint",JXG.createCircumcircleMidpoint);JXG.JSXGraph.registerElement("circumcenter",JXG.createCircumcircleMidpoint);JXG.JSXGraph.registerElement("incenter",JXG.createIncenter);JXG.JSXGraph.registerElement("incircle",JXG.createIncircle);JXG.JSXGraph.registerElement("integral",JXG.createIntegral);JXG.JSXGraph.registerElement("midpoint",JXG.createMidpoint);JXG.JSXGraph.registerElement("mirrorpoint",JXG.createMirrorPoint);JXG.JSXGraph.registerElement("normal",JXG.createNormal);JXG.JSXGraph.registerElement("orthogonalprojection",JXG.createOrthogonalProjection);JXG.JSXGraph.registerElement("parallel",JXG.createParallel);JXG.JSXGraph.registerElement("parallelpoint",JXG.createParallelPoint);JXG.JSXGraph.registerElement("perpendicular",JXG.createPerpendicular);JXG.JSXGraph.registerElement("perpendicularpoint",JXG.createPerpendicularPoint);JXG.JSXGraph.registerElement("perpendicularsegment",JXG.createPerpendicularSegment);JXG.JSXGraph.registerElement("reflection",JXG.createReflection);JXG.JSXGraph.registerElement("locus",JXG.createLocus);JXG.JSXGraph.registerElement("grid",JXG.createGrid);JXG.Text=function(h,j,k,e){this.constructor(h,e,JXG.OBJECT_TYPE_TEXT,JXG.OBJECT_CLASS_OTHER);var g;this.content=j;this.plaintext="";this.isDraggable=false;this.needsSizeUpdate=false;if((this.element=JXG.getRef(this.board,e.anchor))){var f;if(this.visProp.islabel){this.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[parseFloat(k[0]),parseFloat(k[1])],this.board)}else{this.relativeCoords=new JXG.Coords(JXG.COORDS_BY_USER,[parseFloat(k[0]),parseFloat(k[1])],this.board)}this.element.addChild(this);this.coords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board);this.isDraggable=true}else{if(JXG.isNumber(k[0])&&JXG.isNumber(k[1])){this.isDraggable=true}this.X=JXG.createFunction(k[0],this.board,null,true);this.Y=JXG.createFunction(k[1],this.board,null,true);this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.X(),this.Y()],this.board);var d="this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.X(),this.Y()]);";this.updateCoords=new Function("",d)}if(typeof this.content==="function"){this.updateText=function(){this.plaintext=this.content()};this.needsSizeUpdate=true}else{if(JXG.isNumber(this.content)){this.content=(this.content).toFixed(this.visProp.digits)}else{if(this.visProp.useasciimathml){this.content="'`"+this.content+"`'";this.needsSizeUpdate=true}else{this.content=this.generateTerm(this.content)}}this.updateText=new Function("this.plaintext = "+this.content+";")}this.size=[1,1];this.updateText();this.id=this.board.setId(this,"T");this.board.renderer.drawText(this);this.updateSize();if(!this.visProp.visible){this.board.renderer.hide(this)}if(typeof this.content==="string"){this.notifyParents(this.content)}this.elType="text";this.methodMap=JXG.deepCopy(this.methodMap,{setText:"setTextJessieCode",free:"free",move:"setCoords"});return this};JXG.Text.prototype=new JXG.GeometryElement();JXG.extend(JXG.Text.prototype,{hasPoint:function(d,j){var g,e,h,i,f=this.board.options.precision.hasPoint;if(this.visProp.anchorx==="right"){g=this.coords.scrCoords[1]-this.size[0]}else{if(this.visProp.anchorx==="middle"){g=this.coords.scrCoords[1]-0.5*this.size[0]}else{g=this.coords.scrCoords[1]}}e=g+this.size[0];if(this.visProp.anchory==="top"){i=this.coords.scrCoords[2]+this.size[1]}else{if(this.visProp.anchorx==="middle"){i=this.coords.scrCoords[2]+0.5*this.size[1]}else{i=this.coords.scrCoords[2]}}h=i-this.size[1];return(j>=h-f&&j<=i+f)&&((d>=g-f&&d<=g+2*f)||(d>=e-2*f&&d<=e+f))},setTextJessieCode:function(e){var d;this.visProp.castext=e;if(typeof e==="function"){d=function(){return e().replace(/</g,"&lt;").replace(/>/g,"&gt;")}}else{if(JXG.isNumber(e)){d=e}else{d=e.replace(/</g,"&lt;").replace(/>/g,"&gt;")}}return this.setText(d)},setText:function(d){if(typeof d==="function"){this.updateText=function(){this.plaintext=d()}}else{if(JXG.isNumber(d)){this.content=(d).toFixed(this.visProp.digits)}else{if(this.visProp.useasciimathml){this.content="'`"+d+"`'"}else{this.content=this.generateTerm(d)}}this.updateText=new Function("this.plaintext = "+this.content+"; ")}this.updateText();this.prepareUpdate().update().updateRenderer();return this},updateSize:function(){var d;if(typeof document==="undefined"){return this}if(this.visProp.display=="html"&&this.board.renderer.type!="vml"){this.size=[this.rendNode.offsetWidth,this.rendNode.offsetHeight]}else{if(this.visProp.display=="internal"&&this.board.renderer.type=="svg"){try{d=this.rendNode.getBBox();this.size=[d.width,d.height]}catch(f){}}else{if(this.board.renderer.type=="vml"||(this.visProp.display=="internal"&&this.board.renderer.type=="canvas")){this.size=[parseFloat(this.visProp.fontsize)*this.plaintext.length*0.45,parseFloat(this.visProp.fontsize)*0.9]}}}return this},getSize:function(){return this.size},setCoords:function(d,e){if(JXG.isArray(d)&&d.length>1){e=d[1];d=d[0]}this.X=function(){return d};this.Y=function(){return e};this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[d,e],this.board);this.prepareUpdate().update().updateRenderer();return this},free:function(){this.X=JXG.createFunction(this.X(),this.board,"");this.Y=JXG.createFunction(this.Y(),this.board,"");this.isDraggable=true},update:function(){var d,f,e;if(this.needsUpdate){if(this.relativeCoords){if(this.visProp.islabel){f=parseFloat(this.visProp.offset[0]);e=-parseFloat(this.visProp.offset[1]);d=this.element.getLabelAnchor();this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[f+this.relativeCoords.scrCoords[1]+d.scrCoords[1],e+this.relativeCoords.scrCoords[2]+d.scrCoords[2]])}else{d=this.element.getTextAnchor();this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.relativeCoords.usrCoords[1]+d.usrCoords[1],this.relativeCoords.usrCoords[2]+d.usrCoords[2]])}}else{this.updateCoords()}this.updateText();if(this.needsSizeUpdate){this.updateSize()}this.updateTransform()}return this},updateRenderer:function(){if(this.needsUpdate){this.board.renderer.updateText(this);this.needsUpdate=false}return this},updateTransform:function(){var d;if(this.transformations.length==0){return}for(d=0;d<this.transformations.length;d++){this.transformations[d].update()}return this},generateTerm:function(h){var g,k='""',f;h=h||"";h=h.replace(/\r/g,"");h=h.replace(/\n/g,"");h=h.replace(/\"/g,'\\"');h=h.replace(/\'/g,"\\'");h=h.replace(/&amp;arc;/g,"&ang;");h=h.replace(/<arc\s*\/>/g,"&ang;");h=h.replace(/<sqrt\s*\/>/g,"&radic;");var e;e=h.indexOf("<value>");var d=h.indexOf("</value>");if(e>=0){this.needsSizeUpdate=true;while(e>=0){k+=' + "'+JXG.GeonextParser.replaceSub(JXG.GeonextParser.replaceSup(h.slice(0,e)))+'"';f=h.slice(e+7,d);g=JXG.GeonextParser.geonext2JS(f,this.board);g=g.replace(/\\"/g,'"');g=g.replace(/\\'/g,"'");if(g.indexOf("toFixed")<0){if(JXG.isNumber((JXG.bind(new Function("return "+g+";"),this))())){k+="+("+g+").toFixed("+(this.visProp.digits)+")"}else{k+="+("+g+")"}}else{k+="+("+g+")"}h=h.slice(d+8);e=h.indexOf("<value>");d=h.indexOf("</value>")}}k+=' + "'+JXG.GeonextParser.replaceSub(JXG.GeonextParser.replaceSup(h))+'"';k=k.replace(/<overline>/g,"<span style=text-decoration:overline>");k=k.replace(/<\/overline>/g,"</span>");k=k.replace(/<arrow>/g,"<span style=text-decoration:overline>");k=k.replace(/<\/arrow>/g,"</span>");k=k.replace(/&amp;/g,"&");return k},notifyParents:function(f){var e=null;do{var d=/<value>([\w\s\*\/\^\-\+\(\)\[\],<>=!]+)<\/value>/;e=d.exec(f);if(e!=null){JXG.GeonextParser.findDependencies(this,e[1],this.board);f=f.substr(e.index);f=f.replace(d,"")}}while(e!=null);return this},bounds:function(){var d=this.coords.usrCoords;return this.visProp.islabel?[0,0,0,0]:[d[1],d[2]+this.size[1],d[1]+this.size[0],d[2]]},setPositionDirectly:function(j,h,g){var e,d,i,f;if(this.relativeCoords){if(this.visProp.islabel){f=new JXG.Coords(j,g,this.board);i=new JXG.Coords(j,h,this.board);e=i.scrCoords[1]-f.scrCoords[1];d=i.scrCoords[2]-f.scrCoords[2];this.relativeCoords.scrCoords[1]+=e;this.relativeCoords.scrCoords[2]+=d}else{f=new JXG.Coords(j,g,this.board);i=new JXG.Coords(j,h,this.board);e=i.usrCoords[1]-f.usrCoords[1];d=i.usrCoords[2]-f.usrCoords[2];this.relativeCoords.usrCoords[1]+=e;this.relativeCoords.usrCoords[2]+=d}}else{i=new JXG.Coords(j,h,this.board);this.X=JXG.createFunction(i.usrCoords[1],this.board,"");this.Y=JXG.createFunction(i.usrCoords[2],this.board,"")}return this}});JXG.createText=function(h,f,e){var d,g,d=JXG.copyAttributes(e,h.options,"text");d.anchor=d.parent||d.anchor;g=new JXG.Text(h,f[f.length-1],f,d);if(typeof f[f.length-1]!=="function"){g.parents=f}if(JXG.evaluate(d.rotate)!=0&&d.display=="internal"){g.addRotation(JXG.evaluate(d.rotate))}return g};JXG.JSXGraph.registerElement("text",JXG.createText);JXG.Image=function(g,e,h,f,d){this.constructor(g,d,JXG.OBJECT_TYPE_IMAGE,JXG.OBJECT_CLASS_OTHER);this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,h,this.board);if(!JXG.isFunction(h[0])&&!JXG.isFunction(h[1])){this.isDraggable=true}this.X=JXG.createFunction(h[0],this.board,"");this.Y=JXG.createFunction(h[1],this.board,"");this.W=JXG.createFunction(f[0],this.board,"");this.H=JXG.createFunction(f[1],this.board,"");this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.X(),this.Y()],this.board);this.updateCoords=new Function("","this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.X(),this.Y()]);");this.updateSize=new Function("","this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.W(),this.H()]);");this.usrSize=[this.W(),this.H()];this.size=[this.usrSize[0]*g.unitX,this.usrSize[1]*g.unitY];this.url=e;this.parent=JXG.getRef(d.anchor);this.id=this.board.setId(this,"Im");this.board.renderer.drawImage(this);if(!this.visProp.visible){this.board.renderer.hide(this)}};JXG.Image.prototype=new JXG.GeometryElement;JXG.extend(JXG.Image.prototype,{hasPoint:function(d,h){var f=d-this.coords.scrCoords[1],e=this.coords.scrCoords[2]-h,g=this.board.options.precision.hasPoint;if(f>=-g&&f<=2*g&&e>=-g&&e<=g){return true}else{return false}},update:function(){if(this.needsUpdate){this.updateCoords();this.usrSize=[this.W(),this.H()];this.size=[this.usrSize[0]*this.board.unitX,this.usrSize[1]*this.board.unitY];this.updateTransform()}return this},updateRenderer:function(){if(this.needsUpdate){this.board.renderer.updateImage(this);this.needsUpdate=false}return this},updateTransform:function(){if(this.transformations.length==0){return}for(var d=0;d<this.transformations.length;d++){this.transformations[d].update()}},addTransform:function(d){if(JXG.isArray(d)){for(var e=0;e<d.length;e++){this.transformations.push(d[e])}}else{this.transformations.push(d)}},setPositionDirectly:function(e,d){var d=new JXG.Coords(e,d,this.board);this.X=JXG.createFunction(d.usrCoords[1],this.board,"");this.Y=JXG.createFunction(d.usrCoords[2],this.board,"");return this}});JXG.createImage=function(i,h,f){var g,d,e;d=JXG.copyAttributes(f,i.options,"image");e=new JXG.Image(i,h[0],h[1],h[2],d);if(JXG.evaluate(d.rotate)!=0){e.addRotation(JXG.evaluate(d.rotate))}return e};JXG.JSXGraph.registerElement("image",JXG.createImage);JXG.createSlider=function(o,D,p){var j,i,C,k,E,q,f,e,A,F,l,h,g,d,z,v,r,m,u,s,w,B;j=D[0];i=D[1];C=D[2][0];k=D[2][1];E=D[2][2];q=E-C;w=JXG.copyAttributes(p,o.options,"slider");u=w.withticks;m=w.withlabel;s=w.snapwidth;B=w.precision;w=JXG.copyAttributes(p,o.options,"slider","point1");f=o.create("point",j,w);w=JXG.copyAttributes(p,o.options,"slider","point2");e=o.create("point",i,w);o.create("group",[f,e]);w=JXG.copyAttributes(p,o.options,"slider","baseline");A=o.create("segment",[f,e],w);A.updateStdform();if(u){w=JXG.copyAttributes(p,o.options,"slider","ticks");F=2;l=o.create("ticks",[A,e.Dist(f)/F],w)}h=j[0]+(i[0]-j[0])*(k-C)/(E-C);g=j[1]+(i[1]-j[1])*(k-C)/(E-C);w=JXG.copyAttributes(p,o.options,"slider");w.withLabel=false;d=o.create("glider",[h,g,A],w);d.setProperty({snapwidth:s});w=JXG.copyAttributes(p,o.options,"slider","highline");z=o.create("segment",[f,d],w);d.Value=function(){return d.visProp.snapwidth===-1?this.position*q+C:Math.round((this.position*q+C)/this.visProp.snapwidth)*this.visProp.snapwidth};d.methodMap=JXG.deepCopy(d.methodMap,{Value:"Value"});d._smax=E;d._smin=C;if(m){if(p.name&&p.name!=""){v=p.name+" = "}else{v=""}w=JXG.copyAttributes(p,o.options,"slider","label");r=o.create("text",[function(){return(e.X()-f.X())*0.05+e.X()},function(){return(e.Y()-f.Y())*0.05+e.Y()},function(){return v+(d.Value()).toFixed(B)}],w);d.label.content=r}d.point1=f;d.point2=e;d.baseline=A;d.highline=z;if(u){d.ticks=l}d.remove=function(){if(m){o.removeObject(r)}o.removeObject(z);if(u){A.removeTicks(l)}o.removeObject(A);o.removeObject(e);o.removeObject(f);JXG.Point.prototype.remove.call(d)};f.dump=false;e.dump=false;A.dump=false;z.dump=false;d.elType="slider";d.parents=D;d.subs={point1:f,point2:e,baseLine:A,highLine:z};if(u){l.dump=false;d.subs.ticks=l}return d};JXG.JSXGraph.registerElement("slider",JXG.createSlider);JXG.Chart=function(h,l,e){this.constructor(h,e);var m,k,f,j,d,g;if(!JXG.isArray(l)||l.length===0){throw new Error("JSXGraph: Can't create a chart without data")}this.elements=[];if(JXG.isNumber(l[0])){k=l;m=[];for(f=0;f<k.length;f++){m[f]=f+1}}else{if(l.length===1&&JXG.isArray(l[0])){k=l[0];m=[];g=JXG.evaluate(k).length;for(f=0;f<g;f++){m[f]=f+1}}else{if(l.length===2){g=Math.min(l[0].length,l[1].length);m=l[0].slice(0,g);k=l[1].slice(0,g)}}}if(JXG.isArray(k)&&k.length===0){throw new Error("JSXGraph: Can't create charts without data.")}d=e.chartstyle.replace(/ /g,"").split(",");for(f=0;f<d.length;f++){switch(d[f]){case"bar":j=this.drawBar(h,m,k,e);break;case"line":j=this.drawLine(h,m,k,e);break;case"fit":j=this.drawFit(h,m,k,e);break;case"spline":j=this.drawSpline(h,m,k,e);break;case"pie":j=this.drawPie(h,k,e);break;case"point":j=this.drawPoints(h,m,k,e);break;case"radar":j=this.drawRadar(h,l,e);break}this.elements.push(j)}this.id=this.board.setId(this,"Chart");return this.elements};JXG.Chart.prototype=new JXG.GeometryElement;JXG.extend(JXG.Chart.prototype,{drawLine:function(f,d,g,e){e.fillcolor="none";e.highlightfillcolor="none";return f.create("curve",[d,g],e)},drawSpline:function(f,d,g,e){e.fillColor="none";e.highlightfillcolor="none";return f.create("spline",[d,g],e)},drawFit:function(f,d,h,e){var g=e.degree;g=(!JXG.exists(g)||parseInt(g)==NaN||parseInt(g)<1)?1:parseInt(g),e.fillcolor="none";e.highlightfillcolor="none";return f.create("functiongraph",[JXG.Math.Numerics.regressionPolynomial(g,d,h)],e)},drawBar:function(e,l,h,f){var u,g=[],r,t,d,q,n,o,m,k,v,j,s=[],z={fixed:true,withLabel:false,visible:false,name:""};if(!JXG.exists(f.fillopacity)){f.fillopacity=0.6}if(f&&f.width){n=f.width}else{if(l.length<=1){n=1}else{n=l[1]-l[0];for(u=1;u<l.length-1;u++){n=(l[u+1]-l[u]<n)?l[u+1]-l[u]:n}}n*=0.8}t=f.fillcolor;d=parseFloat(e.options.text.fontSize);for(u=0;u<l.length;u++){if(isNaN(JXG.evaluate(l[u]))||isNaN(h[u])){}if(JXG.isFunction(l[u])){o=function(){return l[u]()-n*0.5};m=function(){return l[u]()};k=function(){return l[u]()+n*0.5}}else{o=l[u]-n*0.5;m=l[u];k=l[u]+n*0.5}v=h[u];if(f.dir=="horizontal"){s[0]=e.create("point",[0,o],z);s[1]=e.create("point",[v,o],z);s[2]=e.create("point",[v,k],z);s[3]=e.create("point",[0,k],z);if(JXG.exists(f.labels)&&JXG.exists(f.labels[u])){r=f.labels[u].toString().length;r=2*r*d/e.unitX;if(v>=0){v+=d*0.5/e.unitX}else{v-=d*r/e.unitX}m-=d*0.2/e.unitY;q=e.create("text",[v,m,f.labels[u]],f)}}else{s[0]=e.create("point",[o,0],z);s[1]=e.create("point",[o,v],z);s[2]=e.create("point",[k,v],z);s[3]=e.create("point",[k,0],z);if(JXG.exists(f.labels)&&JXG.exists(f.labels[u])){r=f.labels[u].toString().length;r=0.6*r*d/e.unitX;if(v>=0){v+=d*0.5/e.unitY}else{v-=d*1/e.unitY}q=e.create("text",[m-r*0.5,v,f.labels[u]],f)}}f.withlines=false;if(JXG.exists(f.colors)&&JXG.isArray(f.colors)){j=f.colors;f.fillcolor=j[u%j.length]}g[u]=e.create("polygon",s,f);if(JXG.exists(f.labels)&&JXG.exists(f.labels[u])){g[u].text=q}}return g},drawPoints:function(j,d,k,f){var g,h=[],e=f.infoboxarray;f.fixed=true;f.name="";for(g=0;g<d.length;g++){f.infoboxtext=e?e[g%e.length]:false;h[g]=j.create("point",[d[g],k[g]],f)}return h},drawPie:function(q,t,k){var l,g=[],h=[],z=JXG.Math.Statistics.sum(t),v=k.colors,m=k.highlightcolors,f=k.labels,e=k.radius||4,n=e,u=k.center||[0,0],w=u[0],o=u[1],d,j={fixed:true,withLabel:false,visible:false,name:""};if(!JXG.isArray(f)){f=[];for(l=0;l<t.length;l++){f[l]=""}}if(!JXG.isFunction(e)){n=function(){return e}}k.highlightonsector=k.highlightonsector||false;k.straightfirst=false;k.straightlast=false;d=q.create("point",[w,o],j);g[0]=q.create("point",[function(){return n()+w},function(){return o}],j);for(l=0;l<t.length;l++){g[l+1]=q.create("point",[(function(i){return function(){var B,A=0,r,p;for(r=0;r<=i;r++){A+=parseFloat(JXG.evaluate(t[r]))}B=A;for(r=i+1;r<t.length;r++){B+=parseFloat(JXG.evaluate(t[r]))}p=(B!=0)?(2*Math.PI*A/B):0;return n()*Math.cos(p)+w}})(l),(function(i){return function(){var B,A=0,r,p;for(r=0;r<=i;r++){A+=parseFloat(JXG.evaluate(t[r]))}B=A;for(r=i+1;r<t.length;r++){B+=parseFloat(JXG.evaluate(t[r]))}p=(B!=0)?(2*Math.PI*A/B):0;return n()*Math.sin(p)+o}})(l)],j);k.name=f[l];k.withlabel=k.name!="";k.fillcolor=v&&v[l%v.length];k.labelcolor=v&&v[l%v.length];k.highlightfillcolor=m&&m[l%m.length];h[l]=q.create("sector",[d,g[l],g[l+1]],k);if(k.highlightonsector){h[l].hasPoint=h[l].hasPointSector}if(k.highlightbysize){h[l].highlight=function(){if(!this.highlighted){this.highlighted=true;this.board.renderer.highlight(this);var p=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],i=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];if(this.label.content!=null){this.label.content.rendNode.style.fontSize=(2*this.label.content.visProp.fontsize)+"px";this.label.content.prepareUpdate().update().updateRenderer()}this.point2.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+p*1.1,this.point1.coords.usrCoords[2]+i*1.1],this.board);this.prepareUpdate().update().updateRenderer()}};h[l].noHighlight=function(){if(this.highlighted){this.highlighted=false;this.board.renderer.noHighlight(this);var p=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],i=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];if(this.label.content!=null){this.label.content.rendNode.style.fontSize=(this.label.content.visProp.fontsize*2)+"px";this.label.content.prepareUpdate().update().updateRenderer()}this.point2.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+p/1.1,this.point1.coords.usrCoords[2]+i/1.1],this.board);this.prepareUpdate().update().updateRenderer()}}}}return{sectors:h,points:g,midpoint:d}},drawRadar:function(n,R,M){var aa,Y,ab,O,ad,H,D=R.length,L,s,f,N,E,A,F,C,g,Z,u,r,v,Q,w,W,S,G,d,m,e,V,l,P,q,U,ag,z,k,o,J,T,af,B,h;if(D<=0){JXG.debug("No data");return}ab=M.paramarray;if(!JXG.exists(ab)){JXG.debug("Need paramArray attribute");return}O=ab.length;if(O<=1){JXG.debug("Need more than 1 param");return}for(aa=0;aa<D;aa++){if(O!=R[aa].length){JXG.debug("Use data length equal to number of params ("+R[aa].length+" != "+O+")");return}}ad=new Array(O);H=new Array(O);for(Y=0;Y<O;Y++){ad[Y]=R[0][Y];H[Y]=ad[Y]}for(aa=1;aa<D;aa++){for(Y=0;Y<O;Y++){if(R[aa][Y]>ad[Y]){ad[Y]=R[aa][Y]}if(R[aa][Y]<H[Y]){H[Y]=R[aa][Y]}}}L=new Array(D);s=new Array(D);for(aa=0;aa<D;aa++){L[aa]="";s[aa]=[]}f=new Array(O);N=new Array(O);E=M.startshiftratio||0;A=M.endshiftratio||0;for(aa=0;aa<O;aa++){f[aa]=(ad[aa]-H[aa])*E;N[aa]=(ad[aa]-H[aa])*A}F=M.startshiftarray||f;C=M.endshiftarray||N;g=M.startarray||H;if(JXG.exists(M.start)){for(aa=0;aa<O;aa++){g[aa]=M.start}}Z=M.endarray||ad;if(JXG.exists(M.end)){for(aa=0;aa<O;aa++){Z[aa]=M.end}}if(F.length!=O){JXG.debug("Start shifts length is not equal to number of parameters");return}if(C.length!=O){JXG.debug("End shifts length is not equal to number of parameters");return}if(g.length!=O){JXG.debug("Starts length is not equal to number of parameters");return}if(Z.length!=O){JXG.debug("Ends length is not equal to number of parameters");return}u=M.labelarray||L;r=M.colors;v=M.highlightcolors;Q=M.radius||10;w={};if(!JXG.exists(M.highlightonsector)){M.highlightonsector=false}w.name=M.name;w.id=M.id;w.strokewidth=M.strokewidth||1;w.polystrokewidth=M.polystrokewidth||2*w.strokewidth;w.strokecolor=M.strokecolor||"black";w.straightfirst=false;w.straightlast=false;w.fillcolor=M.fillColor||"#FFFF88";w.fillopacity=M.fillOpacity||0.4;w.highlightfillcolor=M.highlightFillColor||"#FF7400";w.highlightstrokecolor=M.highlightStrokeColor||"black";w.gradient=M.gradient||"none";W=M.center||[0,0];S=W[0];G=W[1];d=n.create("point",[S,G],{name:"",fixed:true,withlabel:false,visible:false});m=Math.PI/2-Math.PI/O;if(M.startangle||M.startangle===0){m=M.startangle}e=m;V=[];l=[];var X=function(){var j,i,t,p,ah=this.visProp.label.offset.slice(0);j=this.point1.X();i=this.point2.X();t=this.point1.Y();p=this.point2.Y();if(i<j){ah[0]=-ah[0]}if(p<t){ah[1]=-ah[1]}this.setLabelRelativeCoords(ah);return new JXG.Coords(JXG.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};var K=function(aj,p){var j;var ai;var ah;j=n.create("transform",[-(g[p]-F[p]),0],{type:"translate"});ai=n.create("transform",[Q/((Z[p]+C[p])-(g[p]-F[p])),1],{type:"scale"});j.melt(ai);ah=n.create("transform",[aj],{type:"rotate"});j.melt(ah);return j};for(aa=0;aa<O;aa++){e+=2*Math.PI/O;q=Q*Math.cos(e)+S;U=Q*Math.sin(e)+G;V[aa]=n.create("point",[q,U],{name:"",fixed:true,withlabel:false,visible:false});l[aa]=n.create("line",[d,V[aa]],{name:ab[aa],strokeColor:w.strokecolor,strokeWidth:w.strokewidth,strokeOpacity:1,straightFirst:false,straightLast:false,withLabel:true,highlightStrokeColor:w.highlightstrokecolor});l[aa].getLabelAnchor=X;P=K(e,aa);for(Y=0;Y<R.length;Y++){var ae=R[Y][aa];s[Y][aa]=n.create("point",[ae,0],{name:"",fixed:true,withlabel:false,visible:false});s[Y][aa].addTransform(s[Y][aa],P)}}ag=new Array(D);for(aa=0;aa<D;aa++){w.labelcolor=r&&r[aa%r.length];w.strokecolor=r&&r[aa%r.length];w.fillcolor=r&&r[aa%r.length];ag[aa]=n.create("polygon",s[aa],{withLines:true,withLabel:false,fillColor:w.fillcolor,fillOpacity:w.fillopacity,highlightFillColor:w.highlightfillcolor});for(Y=0;Y<O;Y++){ag[aa].borders[Y].setProperty("strokecolor:"+r[aa%r.length]);ag[aa].borders[Y].setProperty("strokewidth:"+w.polystrokewidth)}}z=M.legendposition||"none";switch(z){case"right":var I=M.legendleftoffset||2;var ac=M.legendtopoffset||1;this.legend=n.create("legend",[S+Q+I,G+Q-ac],{labelArray:u,colorArray:r});break;case"none":break;default:JXG.debug("Unknown legend position")}k=[];if(M.showcircles!=false){o=[];for(aa=0;aa<6;aa++){o[aa]=20*aa}o[0]="0";J=M.circlelabelarray||o;T=J.length;if(T<2){alert("Too less circles");return}af=[];B=m+Math.PI/O;P=K(B,0);w.fillcolor="none";w.highlightfillcolor="none";w.strokecolor=M.strokecolor||"black";w.strokewidth=M.circlestrokewidth||0.5;w.layer=0;h=(Z[0]-g[0])/(T-1);for(aa=0;aa<T;aa++){af[aa]=n.create("point",[g[0]+aa*h,0],{name:J[aa],size:0,fixed:true,withLabel:true,visible:true});af[aa].addTransform(af[aa],P);k[aa]=n.create("circle",[d,af[aa]],w)}}this.rendNode=ag[0].rendNode;return{circles:k,lines:l,points:s,midpoint:d,polygons:ag}},updateRenderer:function(){return this},update:function(){if(this.needsUpdate){this.updateDataArray()}return this},updateDataArray:function(){}});JXG.createChart=function(g,u,h){if((u.length==1)&&(typeof u[0]=="string")){var t=document.getElementById(u[0]),B,f,q,p,e,s=[],l,k,A,z,C,n,d,o,v,r,m;if(JXG.exists(t)){m=JXG.copyAttributes(h,g.options,"chart");t=(new JXG.DataSource()).loadFromTable(u[0],m.withheaders,m.withheaders);B=t.data;e=t.columnHeaders;f=t.rowHeaders;z=m.width;C=m.name;n=m.strokecolor;d=m.fillcolor;o=m.highlightstrokecolor;v=m.highlightfillcolor;g.suspendUpdate();r=B.length;A=[];if(m.rows&&JXG.isArray(m.rows)){for(q=0;q<r;q++){for(p=0;p<m.rows.length;p++){if((m.rows[p]==q)||(m.withheaders&&m.rows[p]==f[q])){A.push(B[q]);break}}}}else{A=B}r=A.length;for(q=0;q<r;q++){k=[];if(m.chartstyle&&m.chartstyle.indexOf("bar")!=-1){if(z){l=z}else{l=0.8}k.push(1-l/2+(q+0.5)*l/(1*r));for(p=1;p<A[q].length;p++){k.push(k[p-1]+1)}m.width=l/(1*r)}if(C&&C.length==r){m.name=C[q]}else{if(m.withheaders){m.name=e[q]}}if(n&&n.length==r){m.strokecolor=n[q]}else{m.strokecolor=JXG.hsv2rgb(((q+1)/(1*r))*360,0.9,0.6)}if(d&&d.length==r){m.fillcolor=d[q]}else{m.fillcolor=JXG.hsv2rgb(((q+1)/(1*r))*360,0.9,1)}if(o&&o.length==r){m.highlightstrokecolor=o[q]}else{m.highlightstrokecolor=JXG.hsv2rgb(((q+1)/(1*r))*360,0.9,1)}if(v&&v.length==r){m.highlightfillcolor=v[q]}else{m.highlightfillcolor=JXG.hsv2rgb(((q+1)/(1*r))*360,0.9,0.6)}if(m.chartstyle&&m.chartstyle.indexOf("bar")!=-1){s.push(new JXG.Chart(g,[k,A[q]],m))}else{s.push(new JXG.Chart(g,[A[q]],m))}}g.unsuspendUpdate()}return s}else{m=JXG.copyAttributes(h,g.options,"chart");return new JXG.Chart(g,u,m)}};JXG.JSXGraph.registerElement("chart",JXG.createChart);JXG.Legend=function(f,g,e){var d;this.constructor();d=JXG.copyAttributes(e,f.options,"legend");this.board=f;this.coords=new JXG.Coords(JXG.COORDS_BY_USER,g,this.board);this.myAtts={};this.label_array=d.labelarray||d.labels;this.color_array=d.colorarray||d.colors;this.lines=[];this.myAtts.strokewidth=d.strokewidth||5;this.myAtts.straightfirst=false;this.myAtts.straightlast=false;this.myAtts.withlabel=true;this.myAtts.fixed=true;this.style=d.legendstyle||d.style;switch(this.style){case"vertical":this.drawVerticalLegend(f,d);break;default:throw new Error("JSXGraph: Unknown legend style: "+this.style);break}};JXG.Legend.prototype=new JXG.GeometryElement;JXG.Legend.prototype.drawVerticalLegend=function(h,f){var e=f.linelength||1,d=(f.rowheight||20)/this.board.unitY,g;for(g=0;g<this.label_array.length;g++){this.myAtts.strokecolor=this.color_array[g];this.myAtts.highlightstrokecolor=this.color_array[g];this.myAtts.name=this.label_array[g];this.myAtts.label={offset:[40,0],strokeColor:this.color_array[g],strokeWidth:this.myAtts.strokewidth};this.lines[g]=h.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-g*d],[this.coords.usrCoords[1]+e,this.coords.usrCoords[2]-g*d]],this.myAtts);this.lines[g].getLabelAnchor=function(){this.setLabelRelativeCoords(this.visProp.label.offset);return new JXG.Coords(JXG.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)}}};JXG.createLegend=function(f,e,d){var g=[0,0];if(JXG.exists(e)){if(e.length==2){g=e}}return new JXG.Legend(f,g,d)};JXG.JSXGraph.registerElement("legend",JXG.createLegend);JXG.Transformation=function(e,d,f){this.elementClass=JXG.OBJECT_CLASS_OTHER;this.matrix=[[1,0,0],[0,1,0],[0,0,1]];this.board=e;this.isNumericMatrix=false;this.setMatrix(e,d,f)};JXG.Transformation.prototype={};JXG.extend(JXG.Transformation.prototype,{update:function(){return this},setMatrix:function(f,e,g){var d;this.isNumericMatrix=true;for(d=0;d<g.length;d++){if(typeof g[d]!="number"){this.isNumericMatrix=false;break}}if(e=="translate"){this.evalParam=JXG.createEvalFunction(f,g,2);this.update=function(){this.matrix[1][0]=this.evalParam(0);this.matrix[2][0]=this.evalParam(1)}}else{if(e=="scale"){this.evalParam=JXG.createEvalFunction(f,g,2);this.update=function(){this.matrix[1][1]=this.evalParam(0);this.matrix[2][2]=this.evalParam(1)}}else{if(e=="reflect"){if(g.length<4){g[0]=JXG.getReference(f,g[0])}if(g.length==2){g[1]=JXG.getReference(f,g[1])}if(g.length==4){this.evalParam=JXG.createEvalFunction(f,g,4)}this.update=function(){var h,o,n,i,m,l,j,k;if(g.length==1){j=g[0].stdform}else{if(g.length==2){j=JXG.Math.crossProduct(g[1].coords.usrCoords,g[0].coords.usrCoords)}else{if(g.length==4){j=JXG.Math.crossProduct([1,this.evalParam(2),this.evalParam(3)],[1,this.evalParam(0),this.evalParam(1)])}}}h=j[1];o=j[2];n=j[0];k=[-n*h,-n*o,h*h+o*o];l=k[2];i=k[0]/k[2];m=k[1]/k[2];h=-j[2];o=j[1];this.matrix[1][1]=(h*h-o*o)/l;this.matrix[1][2]=2*h*o/l;this.matrix[2][1]=this.matrix[1][2];this.matrix[2][2]=-this.matrix[1][1];this.matrix[1][0]=i*(1-this.matrix[1][1])-m*this.matrix[1][2];this.matrix[2][0]=m*(1-this.matrix[2][2])-i*this.matrix[2][1]}}else{if(e=="rotate"){if(g.length==3){this.evalParam=JXG.createEvalFunction(f,g,3)}else{if(g.length<=2){this.evalParam=JXG.createEvalFunction(f,g,1);if(g.length==2){g[1]=JXG.getReference(f,g[1])}}}this.update=function(){var j=this.evalParam(0),h,l,k=Math.cos(j),i=Math.sin(j);this.matrix[1][1]=k;this.matrix[1][2]=-i;this.matrix[2][1]=i;this.matrix[2][2]=k;if(g.length>1){if(g.length==3){h=this.evalParam(1);l=this.evalParam(2)}else{h=g[1].X();l=g[1].Y()}this.matrix[1][0]=h*(1-k)+l*i;this.matrix[2][0]=l*(1-k)-h*i}}}else{if(e=="shear"){this.evalParam=JXG.createEvalFunction(f,g,1);this.update=function(){var h=this.evalParam(0);this.matrix[1][1]=Math.tan(h)}}else{if(e=="generic"){this.evalParam=JXG.createEvalFunction(f,g,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)}}}}}}}},apply:function(d){this.update();if(arguments[1]!=null){return JXG.Math.matVecMult(this.matrix,d.initialCoords.usrCoords)}else{return JXG.Math.matVecMult(this.matrix,d.coords.usrCoords)}},applyOnce:function(f){var g,d,e;if(!JXG.isArray(f)){this.update();g=JXG.Math.matVecMult(this.matrix,f.coords.usrCoords);f.coords.setCoordinates(JXG.COORDS_BY_USER,g)}else{d=f.length;for(e=0;e<d;e++){this.update();g=JXG.Math.matVecMult(this.matrix,f[e].coords.usrCoords);f[e].coords.setCoordinates(JXG.COORDS_BY_USER,g)}}},bindTo:function(f){var e,d;if(JXG.isArray(f)){d=f.length;for(e=0;e<d;e++){f[e].transformations.push(this)}}else{f.transformations.push(this)}},setProperty:function(d){},melt:function(m){var l=[],h,d,g,e,n,f;d=m.matrix.length;g=this.matrix[0].length;for(h=0;h<d;h++){l[h]=[]}this.update();m.update();for(h=0;h<d;h++){for(f=0;f<g;f++){n=0;for(e=0;e<d;e++){n+=m.matrix[h][e]*this.matrix[e][f]}l[h][f]=n}}this.update=function(){var i=this.matrix.length,j=this.matrix[0].length;for(h=0;h<i;h++){for(f=0;f<j;f++){this.matrix[h][f]=l[h][f]}}};return this}});JXG.createTransform=function(f,e,d){return new JXG.Transformation(f,d.type,e)};JXG.JSXGraph.registerElement("transform",JXG.createTransform);JXG.Turtle=function(h,g,e){this.constructor(h,e,JXG.OBJECT_TYPE_TURTLE,JXG.OBJECT_CLASS_OTHER);var d,i,f;this.turtleIsHidden=false;this.board=h;this.visProp.curveType="plot";this._attributes=JXG.copyAttributes(this.visProp,h.options,"turtle");delete (this._attributes.id);d=0;i=0;f=90;if(g.length!=0){if(g.length==3){d=g[0];i=g[1];f=g[2]}else{if(g.length==2){if(JXG.isArray(g[0])){d=g[0][0];i=g[0][1];f=g[1]}else{d=g[0];i=g[1]}}else{d=g[0][0];i=g[0][1]}}}this.init(d,i,f);return this};JXG.Turtle.prototype=new JXG.GeometryElement;JXG.extend(JXG.Turtle.prototype,{init:function(d,f,e){this.arrowLen=20/Math.sqrt(this.board.unitX*this.board.unitX+this.board.unitY*this.board.unitY);this.pos=[d,f];this.isPenDown=true;this.dir=90;this.stack=[];this.objects=[];this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve);this.turtle=this.board.create("point",this.pos,{fixed:true,name:" ",visible:false,withLabel:false});this.objects.push(this.turtle);this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],{fixed:true,name:" ",visible:false,withLabel:false});this.objects.push(this.turtle2);this.visProp.arrow.lastArrow=true;this.visProp.arrow.straightFirst=false;this.visProp.arrow.straightLast=false;this.arrow=this.board.create("line",[this.turtle,this.turtle2],this.visProp.arrow);this.objects.push(this.arrow);this.right(90-e);this.board.update()},forward:function(d){if(d===0){return this}var f=d*Math.cos(this.dir*Math.PI/180),e=d*Math.sin(this.dir*Math.PI/180);if(!this.turtleIsHidden){var g=this.board.create("transform",[f,e],{type:"translate"});g.applyOnce(this.turtle);g.applyOnce(this.turtle2)}if(this.isPenDown){if(this.curve.dataX.length>=8192){this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve)}}this.pos[0]+=f;this.pos[1]+=e;if(this.isPenDown){this.curve.dataX.push(this.pos[0]);this.curve.dataY.push(this.pos[1])}this.board.update();return this},back:function(d){return this.forward(-d)},right:function(e){this.dir-=e;this.dir%=360;if(!this.turtleIsHidden){var d=this.board.create("transform",[-e*Math.PI/180,this.turtle],{type:"rotate"});d.applyOnce(this.turtle2)}this.board.update();return this},left:function(d){return this.right(-d)},penUp:function(){this.isPenDown=false;return this},penDown:function(){this.isPenDown=true;this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve);return this},clean:function(){for(var d=0;d<this.objects.length;d++){var e=this.objects[d];if(e.type==JXG.OBJECT_TYPE_CURVE){this.board.removeObject(e.id);this.objects.splice(d,1)}}this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve);this.board.update();return this},clearScreen:function(){for(var d=0;d<this.objects.length;d++){var e=this.objects[d];this.board.removeObject(e.id)}this.init(0,0,90);return this},setPos:function(d,f){if(JXG.isArray(d)){this.pos=d}else{this.pos=[d,f]}if(!this.turtleIsHidden){this.turtle.setPositionDirectly(JXG.COORDS_BY_USER,[d,f]);this.turtle2.setPositionDirectly(JXG.COORDS_BY_USER,[d,f+this.arrowLen]);var e=this.board.create("transform",[-(this.dir-90)*Math.PI/180,this.turtle],{type:"rotate"});e.applyOnce(this.turtle2)}this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve);this.board.update();return this},setPenSize:function(d){this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeWidth",d));this.objects.push(this.curve);return this},setPenColor:function(d){this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeColor",d));this.objects.push(this.curve);return this},setHighlightPenColor:function(d){this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("highlightStrokeColor",d));this.objects.push(this.curve);return this},setProperty:function(e){var g,h,d=this.objects.length,f;for(g=0;g<d;g++){h=this.objects[g];if(h.type==JXG.OBJECT_TYPE_CURVE){h.setProperty(e)}}f=this.visProp.id;this.visProp=JXG.deepCopy(this.curve.visProp);this.visProp.id=f;this._attributes=JXG.deepCopy(this.visProp);delete (this._attributes.id);return this},copyAttr:function(d,e){this._attributes[d.toLowerCase()]=e;return this._attributes},showTurtle:function(){this.turtleIsHidden=false;this.arrow.setProperty("visible:true");this.setPos(this.pos[0],this.pos[1]);this.board.update();return this},hideTurtle:function(){this.turtleIsHidden=true;this.arrow.setProperty("visible:false");this.setPos(this.pos[0],this.pos[1]);this.board.update();return this},home:function(){this.pos=[0,0];this.setPos(this.pos[0],this.pos[1]);return this},pushTurtle:function(){this.stack.push([this.pos[0],this.pos[1],this.dir]);return this},popTurtle:function(){var d=this.stack.pop();this.pos[0]=d[0];this.pos[1]=d[1];this.dir=d[2];this.setPos(this.pos[0],this.pos[1]);return this},lookTo:function(h){if(JXG.isArray(h)){var e=this.pos[0];var d=this.pos[1];var i=h[0];var g=h[1];var f;f=Math.atan2(g-d,i-e);this.right(this.dir-(f*180/Math.PI))}else{if(JXG.isNumber(h)){this.right(this.dir-(h))}}return this},moveTo:function(g){if(JXG.isArray(g)){var e=g[0]-this.pos[0];var d=g[1]-this.pos[1];if(!this.turtleIsHidden){var f=this.board.create("transform",[e,d],{type:"translate"});f.applyOnce(this.turtle);f.applyOnce(this.turtle2)}if(this.isPenDown){if(this.curve.dataX.length>=8192){this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes);this.objects.push(this.curve)}}this.pos[0]=g[0];this.pos[1]=g[1];if(this.isPenDown){this.curve.dataX.push(this.pos[0]);this.curve.dataY.push(this.pos[1])}this.board.update()}return this},fd:function(d){return this.forward(d)},bk:function(d){return this.back(d)},lt:function(d){return this.left(d)},rt:function(d){return this.right(d)},pu:function(){return this.penUp()},pd:function(){return this.penDown()},ht:function(){return this.hideTurtle()},st:function(){return this.showTurtle()},cs:function(){return this.clearScreen()},push:function(){return this.pushTurtle()},pop:function(){return this.popTurtle()},evalAt:function(h,l){var g,f,k,e,d=this.objects.length;for(g=0,f=0;g<d;g++){k=this.objects[g];if(k.elementClass==JXG.OBJECT_CLASS_CURVE){if(f<=h&&h<f+k.numberPoints){e=(h-f);return k[l](e)}f+=k.numberPoints}}return this[l]()},X:function(d){if(typeof d=="undefined"){return this.pos[0]}else{return this.evalAt(d,"X")}},Y:function(d){if(typeof d=="undefined"){return this.pos[1]}else{return this.evalAt(d,"Y")}},Z:function(d){return 1},minX:function(){return 0},maxX:function(){var g=0,e,d=this.objects.length,f;for(e=0;e<d;e++){f=this.objects[e];if(f.elementClass==JXG.OBJECT_CLASS_CURVE){g+=this.objects[e].numberPoints}}return g},hasPoint:function(d,g){var e,f;for(e=0;e<this.objects.length;e++){f=this.objects[e];if(f.type==JXG.OBJECT_TYPE_CURVE){if(f.hasPoint(d,g)){return true}}}return false}});JXG.createTurtle=function(g,f,e){var d;f=f||[];d=JXG.copyAttributes(e,g.options,"turtle");return new JXG.Turtle(g,f,d)};JXG.JSXGraph.registerElement("turtle",JXG.createTurtle);JXG.rgbParser=function(){var n,e=false,j,d,l,o;if(arguments.length===0){return[]}if(arguments.length>=3){arguments[0]=[arguments[0],arguments[1],arguments[2]];arguments.length=1}n=arguments[0];if(JXG.isArray(n)){for(j=0;j<3;j++){e|=/\./.test(arguments[0][j].toString())}for(j=0;j<3;j++){e&=(arguments[0][j]>=0)&(arguments[0][j]<=1)}if(e){return[Math.ceil(arguments[0][0]*255),Math.ceil(arguments[0][1]*255),Math.ceil(arguments[0][2]*255)]}else{arguments[0].length=3;return arguments[0]}}else{if(typeof arguments[0]==="string"){n=arguments[0]}}if(n.charAt(0)=="#"){n=n.substr(1,6)}n=n.replace(/ /g,"").toLowerCase();var h={aliceblue:"f0f8ff",antiquewhite:"faebd7",aqua:"00ffff",aquamarine:"7fffd4",azure:"f0ffff",beige:"f5f5dc",bisque:"ffe4c4",black:"000000",blanchedalmond:"ffebcd",blue:"0000ff",blueviolet:"8a2be2",brown:"a52a2a",burlywood:"deb887",cadetblue:"5f9ea0",chartreuse:"7fff00",chocolate:"d2691e",coral:"ff7f50",cornflowerblue:"6495ed",cornsilk:"fff8dc",crimson:"dc143c",cyan:"00ffff",darkblue:"00008b",darkcyan:"008b8b",darkgoldenrod:"b8860b",darkgray:"a9a9a9",darkgreen:"006400",darkkhaki:"bdb76b",darkmagenta:"8b008b",darkolivegreen:"556b2f",darkorange:"ff8c00",darkorchid:"9932cc",darkred:"8b0000",darksalmon:"e9967a",darkseagreen:"8fbc8f",darkslateblue:"483d8b",darkslategray:"2f4f4f",darkturquoise:"00ced1",darkviolet:"9400d3",deeppink:"ff1493",deepskyblue:"00bfff",dimgray:"696969",dodgerblue:"1e90ff",feldspar:"d19275",firebrick:"b22222",floralwhite:"fffaf0",forestgreen:"228b22",fuchsia:"ff00ff",gainsboro:"dcdcdc",ghostwhite:"f8f8ff",gold:"ffd700",goldenrod:"daa520",gray:"808080",green:"008000",greenyellow:"adff2f",honeydew:"f0fff0",hotpink:"ff69b4",indianred:"cd5c5c",indigo:"4b0082",ivory:"fffff0",khaki:"f0e68c",lavender:"e6e6fa",lavenderblush:"fff0f5",lawngreen:"7cfc00",lemonchiffon:"fffacd",lightblue:"add8e6",lightcoral:"f08080",lightcyan:"e0ffff",lightgoldenrodyellow:"fafad2",lightgrey:"d3d3d3",lightgreen:"90ee90",lightpink:"ffb6c1",lightsalmon:"ffa07a",lightseagreen:"20b2aa",lightskyblue:"87cefa",lightslateblue:"8470ff",lightslategray:"778899",lightsteelblue:"b0c4de",lightyellow:"ffffe0",lime:"00ff00",limegreen:"32cd32",linen:"faf0e6",magenta:"ff00ff",maroon:"800000",mediumaquamarine:"66cdaa",mediumblue:"0000cd",mediumorchid:"ba55d3",mediumpurple:"9370d8",mediumseagreen:"3cb371",mediumslateblue:"7b68ee",mediumspringgreen:"00fa9a",mediumturquoise:"48d1cc",mediumvioletred:"c71585",midnightblue:"191970",mintcream:"f5fffa",mistyrose:"ffe4e1",moccasin:"ffe4b5",navajowhite:"ffdead",navy:"000080",oldlace:"fdf5e6",olive:"808000",olivedrab:"6b8e23",orange:"ffa500",orangered:"ff4500",orchid:"da70d6",palegoldenrod:"eee8aa",palegreen:"98fb98",paleturquoise:"afeeee",palevioletred:"d87093",papayawhip:"ffefd5",peachpuff:"ffdab9",peru:"cd853f",pink:"ffc0cb",plum:"dda0dd",powderblue:"b0e0e6",purple:"800080",red:"ff0000",rosybrown:"bc8f8f",royalblue:"4169e1",saddlebrown:"8b4513",salmon:"fa8072",sandybrown:"f4a460",seagreen:"2e8b57",seashell:"fff5ee",sienna:"a0522d",silver:"c0c0c0",skyblue:"87ceeb",slateblue:"6a5acd",slategray:"708090",snow:"fffafa",springgreen:"00ff7f",steelblue:"4682b4",tan:"d2b48c",teal:"008080",thistle:"d8bfd8",tomato:"ff6347",turquoise:"40e0d0",violet:"ee82ee",violetred:"d02090",wheat:"f5deb3",white:"ffffff",whitesmoke:"f5f5f5",yellow:"ffff00",yellowgreen:"9acd32"};n=h[n]||n;var m=[{re:/^\s*rgba\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*([\d\.]{1,3})\s*\)\s*$/,example:["rgba(123, 234, 45, 0.5)","rgba(255,234,245,1.0)"],process:function(g){return[parseInt(g[1]),parseInt(g[2]),parseInt(g[3])]}},{re:/^\s*rgb\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*\)\s*$/,example:["rgb(123, 234, 45)","rgb(255,234,245)"],process:function(g){return[parseInt(g[1]),parseInt(g[2]),parseInt(g[3])]}},{re:/^(\w{2})(\w{2})(\w{2})$/,example:["#00ff00","336699"],process:function(g){return[parseInt(g[1],16),parseInt(g[2],16),parseInt(g[3],16)]}},{re:/^(\w{1})(\w{1})(\w{1})$/,example:["#fb0","f0f"],process:function(g){return[parseInt(g[1]+g[1],16),parseInt(g[2]+g[2],16),parseInt(g[3]+g[3],16)]}}];for(j=0;j<m.length;j++){var q=m[j].re,f=m[j].process,p=q.exec(n),k;if(p){k=f(p);d=k[0];l=k[1];o=k[2]}}if(isNaN(d)||isNaN(l)||isNaN(o)){return[]}d=(d<0||isNaN(d))?0:((d>255)?255:d);l=(l<0||isNaN(l))?0:((l>255)?255:l);o=(o<0||isNaN(o))?0:((o>255)?255:o);return[d,l,o]};JXG.rgb2css=function(){var f,e,d;f=JXG.rgbParser.apply(JXG.rgbParser,arguments);e=f[1];d=f[2];f=f[0];return"rgb("+f+", "+e+", "+d+")"};JXG.rgb2hex=function(){var f,e,d;f=JXG.rgbParser.apply(JXG.rgbParser,arguments);e=f[1];d=f[2];f=f[0];f=f.toString(16);e=e.toString(16);d=d.toString(16);if(f.length==1){f="0"+f}if(e.length==1){e="0"+e}if(d.length==1){d="0"+d}return"#"+f+e+d};JXG.hex2rgb=function(h){var f,e,d;if(h.charAt(0)=="#"){h=h.slice(1)}f=parseInt(h.substr(0,2),16);e=parseInt(h.substr(2,2),16);d=parseInt(h.substr(4,2),16);return"rgb("+f+", "+e+", "+d+")"};JXG.hsv2rgb=function(o,k,j){var l,r,g,n,m,h,e,d,s;o=((o%360)+360)%360;if(k==0){if(isNaN(o)||o<JXG.Math.eps){l=j;r=j;g=j}else{return"#ffffff"}}else{if(o>=360){h=0}else{h=o}h=h/60;m=Math.floor(h);n=h-m;e=j*(1-k);d=j*(1-(k*n));s=j*(1-(k*(1-n)));switch(m){case 0:l=j;r=s;g=e;break;case 1:l=d;r=j;g=e;break;case 2:l=e;r=j;g=s;break;case 3:l=e;r=d;g=j;break;case 4:l=s;r=e;g=j;break;case 5:l=j;r=e;g=d;break}}l=Math.round(l*255).toString(16);l=(l.length==2)?l:((l.length==1)?"0"+l:"00");r=Math.round(r*255).toString(16);r=(r.length==2)?r:((r.length==1)?"0"+r:"00");g=Math.round(g*255).toString(16);g=(g.length==2)?g:((g.length==1)?"0"+g:"00");return["#",l,r,g].join("")};JXG.rgb2hsv=function(){var d,m,p,n,e,i,f,q,l,u,t,o,j,k;d=JXG.rgbParser.apply(JXG.rgbParser,arguments);m=d[1];p=d[2];d=d[0];k=JXG.Math.Statistics;n=d/255;e=m/255;i=p/255;o=k.max([d,m,p]);j=k.min([d,m,p]);f=o/255;q=j/255;t=f;u=0;if(t>0){u=(t-q)/(t*1)}l=1/(f-q);if(u>0){if(o==d){l=(e-i)*l}else{if(o==m){l=2+(i-n)*l}else{l=4+(n-e)*l}}}l*=60;if(l<0){l+=360}if(o==j){l=0}return[l,u,t]};JXG.rgb2LMS=function(){var n,k,e,f,d,j,i,h=[[0.05059983,0.08585369,0.0095242],[0.01893033,0.08925308,0.01370054],[0.00292202,0.00975732,0.07145979]];n=JXG.rgbParser.apply(JXG.rgbParser,arguments);k=n[1];e=n[2];n=n[0];n=Math.pow(n,0.476190476);k=Math.pow(k,0.476190476);e=Math.pow(e,0.476190476);f=n*h[0][0]+k*h[0][1]+e*h[0][2];d=n*h[1][0]+k*h[1][1]+e*h[1][2];j=n*h[2][0]+k*h[2][1]+e*h[2][2];i=[f,d,j];i.l=f;i.m=d;i.s=j;return i};JXG.LMS2rgb=function(f,e,o){var d,h,j,i,k=[[30.830854,-29.832659,1.610474],[-6.481468,17.715578,-2.532642],[-0.37569,-1.199062,14.273846]];d=f*k[0][0]+e*k[0][1]+o*k[0][2];h=f*k[1][0]+e*k[1][1]+o*k[1][2];j=f*k[2][0]+e*k[2][1]+o*k[2][2];var n=function(l){var m=127,g=64;while(g>0){if(Math.pow(m,0.476190476)>l){m-=g}else{if(Math.pow(m+1,0.476190476)>l){return m}m+=g}g/=2}if(m==254&&13.994955247<l){return 255}return m};d=n(d);h=n(h);j=n(j);i=[d,h,j];i.r=d;i.g=h;i.b=j;return i};JXG.rgba2rgbo=function(e){var d;if(e.length==9&&e.charAt(0)=="#"){d=parseInt(e.substr(7,2).toUpperCase(),16)/255;e=e.substr(0,7)}else{d=1}return[e,d]};JXG.rgbo2rgba=function(d,f){var e;if(d=="none"){return d}e=Math.round(f*255).toString(16);if(e.length==1){e="0"+e}return d+e};JXG.rgb2bw=function(f){if(f=="none"){return f}var e,h="0123456789ABCDEF",g,d;d=JXG.rgbParser(f);e=0.3*d[0]+0.59*d[1]+0.11*d[2];g=h.charAt((e>>4)&15)+h.charAt(e&15);f="#"+g+""+g+""+g;return f};JXG.rgb2cb=function(i,p){if(i=="none"){return i}var r,h,g,v,q,n,f,u,k,e,t,j,o;q=JXG.rgb2LMS(i);h=q.l;g=q.m;v=q.s;p=p.toLowerCase();switch(p){case"protanopia":f=-0.06150039994295001;u=0.08277001656812001;k=-0.013200141220000003;e=0.05858939668799999;t=-0.07934519995360001;j=0.013289415272000003;o=0.6903216543277437;n=v/g;if(n<o){h=-(u*g+k*v)/f}else{h=-(t*g+j*v)/e}break;case"tritanopia":f=-0.00058973116217;u=0.007690316482;k=-0.01011703519052;e=0.025495080838999994;t=-0.0422740347;j=0.017005316784;o=0.8349489908460004;n=g/h;if(n<o){v=-(f*h+u*g)/k}else{v=-(e*h+t*g)/j}break;default:f=-0.06150039994295001;u=0.08277001656812001;k=-0.013200141220000003;e=0.05858939668799999;t=-0.07934519995360001;j=0.013289415272000003;o=0.5763833686400911;n=v/h;if(n<o){g=-(f*h+k*v)/u}else{g=-(e*h+j*v)/t}break}r=JXG.LMS2rgb(h,g,v);var d="0123456789ABCDEF";n=d.charAt((r.r>>4)&15)+d.charAt(r.r&15);i="#"+n;n=d.charAt((r.g>>4)&15)+d.charAt(r.g&15);i+=n;n=d.charAt((r.b>>4)&15)+d.charAt(r.b&15);i+=n;return i};JXG.extend(JXG.Board.prototype,{angle:function(d,f,e){return JXG.Math.Geometry.angle(d,f,e)},rad:function(d,f,e){return JXG.Math.Geometry.rad(d,f,e)},distance:function(e,d){return JXG.Math.Geometry.distance(e,d)},pow:function(e,d){return JXG.Math.pow(e,d)},round:function(d,e){return(d).toFixed(e)},cosh:function(d){return JXG.Math.cosh(d)},sinh:function(d){return JXG.Math.sinh(d)},sgn:function(d){return(d==0?0:d/(Math.abs(d)))},D:function(d,e){return JXG.Math.Numerics.D(d,e)},I:function(d,e){return JXG.Math.Numerics.I(d,e)},root:function(e,d,g){return JXG.Math.Numerics.root(e,d,g)},lagrangePolynomial:function(d){return JXG.Math.Numerics.lagrangePolynomial(d)},neville:function(d){return JXG.Math.Numerics.Neville(d)},riemannsum:function(g,i,e,h,d){return JXG.Math.Numerics.riemannsum(g,i,e,h,d)},abs:Math.abs,acos:Math.acos,asin:Math.asin,atan:Math.atan,ceil:Math.ceil,cos:Math.cos,exp:Math.exp,floor:Math.floor,log:Math.log,max:Math.max,min:Math.min,random:Math.random,sin:Math.sin,sqrt:Math.sqrt,tan:Math.tan,trunc:Math.ceil,factorial:function(d){return JXG.Math.factorial(d)},binomial:function(e,d){return JXG.Math.binomial(e,d)},getElement:function(d){return JXG.getReference(this,d)},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]]],intersection:function(g,e,f,d){g=JXG.getReference(this,g);e=JXG.getReference(this,e);if(g.elementClass==JXG.OBJECT_CLASS_CURVE&&e.elementClass==JXG.OBJECT_CLASS_CURVE){return function(){return JXG.Math.Geometry.meetCurveCurve(g,e,f,d,g.board)}}else{if((g.type==JXG.OBJECT_TYPE_ARC&&e.elementClass==JXG.OBJECT_CLASS_LINE)||(e.type==JXG.OBJECT_TYPE_ARC&&g.elementClass==JXG.OBJECT_CLASS_LINE)){return function(){return JXG.Math.Geometry.meet(g.stdform,e.stdform,f,g.board)}}else{if((g.elementClass==JXG.OBJECT_CLASS_CURVE&&e.elementClass==JXG.OBJECT_CLASS_LINE)||(e.elementClass==JXG.OBJECT_CLASS_CURVE&&g.elementClass==JXG.OBJECT_CLASS_LINE)){return function(){return JXG.Math.Geometry.meetCurveLine(g,e,f,g.board)}}else{return function(){return JXG.Math.Geometry.meet(g.stdform,e.stdform,f,g.board)}}}}},intersectionFunc:function(g,e,f,d){return this.intersection(g,e,f,d)},otherIntersection:function(e,d,f){e=JXG.getReference(this,e);d=JXG.getReference(this,d);return function(){var g=JXG.Math.Geometry.meet(e.stdform,d.stdform,0,e.board);if(Math.abs(f.X()-g.usrCoords[1])>JXG.Math.eps||Math.abs(f.Y()-g.usrCoords[2])>JXG.Math.eps||Math.abs(f.Z()-g.usrCoords[0])>JXG.Math.eps){return g}else{return JXG.Math.Geometry.meet(e.stdform,d.stdform,1,e.board)}}},pointFunc:function(){return[null]},pointOptions:["point",[[JXG.OBJECT_CLASS_POINT]]],lineFunc:function(){return arguments},lineOptions:["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],linesegmentFunc:function(){return arguments},linesegmentOptions:["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],linesegmentAtts:{straightFirst:false,straightLast:false},arrowFunc:function(){return arguments},arrowOptions:["arrow",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circleFunc:function(){return arguments},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]]],arrowparallelOptions:["arrowparallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],arrowparallelFunc:function(){return arguments},bisectorOptions:["bisector",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],bisectorFunc:function(){return arguments},circumcircleOptions:["circumcircle",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circumcircleFunc:function(){return arguments},circumcirclemidpointOptions:["circumcirclemidpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circumcirclemidpointFunc:function(){return arguments},integralOptions:["integral",[[]]],integralFunc:function(){return arguments},midpointOptions:["midpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_LINE]]],midpointFunc:function(){return arguments},mirrorpointOptions:["mirrorpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],mirrorpointFunc:function(){return arguments},normalOptions:["normal",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],normalFunc:function(){return arguments},parallelOptions:["parallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],parallelFunc:function(){return arguments},parallelpointOptions:["parallelpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],parallelpointFunc:function(){return arguments},perpendicularOptions:["perpendicular",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],perpendicularFunc:function(){return arguments},perpendicularpointOptions:["perpendicularpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],perpendicularpointFunc:function(){return arguments},reflectionOptions:["reflection",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],reflectionFunc:function(){return arguments}});JXG.Point.prototype.setPositionX=function(f,d){var e=(f==JXG.COORDS_BY_USER)?this.coords.usrCoords[2]:this.coords.scrCoords[2];this.setPosition(f,[d,e])};JXG.Point.prototype.setPositionY=function(f,e){var d=(f==JXG.COORDS_BY_USER)?this.coords.usrCoords[1]:this.coords.scrCoords[1];this.setPosition(f,[d,e])};JXG.Ticks=function(d,f,e){this.constructor(d.board,e,JXG.OBJECT_TYPE_TICKS,JXG.OBJECT_CLASS_OTHER);this.line=d;this.board=this.line.board;this.ticksFunction=null;this.fixedTicks=null;this.equidistant=false;if(JXG.isFunction(f)){this.ticksFunction=f;throw new Error("Function arguments are no longer supported.")}else{if(JXG.isArray(f)){this.fixedTicks=f}else{if(Math.abs(f)<JXG.Math.eps){f=e.defaultdistance}this.ticksFunction=function(g){return f};this.equidistant=true}}this.minTicksDistance=e.minticksdistance;this.maxTicksDistance=e.maxticksdistance;this.labels=[];this.id=this.line.addTicks(this);this.board.setId(this,"Ti")};JXG.Ticks.prototype=new JXG.GeometryElement();JXG.extend(JXG.Ticks.prototype,{hasPoint:function(d,e){return false},calculateTicksCoordinates:function(){var P=this.line.point1,O=this.line.point2,l=P.Dist(O),p=(O.coords.usrCoords[1]-P.coords.usrCoords[1])/l,o=(O.coords.usrCoords[2]-P.coords.usrCoords[2])/l,s=P.coords.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[P.coords.usrCoords[1]+p,P.coords.usrCoords[2]+o],this.board)),B=(this.equidistant?this.ticksFunction(1):1),n,N,J=5,w,q,r,K,I,D,k,G,H=0,F=0,g,t=2,R=-1,e,Q,T,M,u=JXG.Math.eps,z,C,E,L=this.visProp.majorheight*0.5,m=this.visProp.minorheight*0.5,h,A,v,S;if(this.board.canvasWidth===0||this.board.canvasHeight===0){return}if(this.visProp.minorheight<0){this.minStyle="infinite"}else{this.minStyle="finite"}if(this.visProp.majorheight<0){this.majStyle="infinite"}else{this.majStyle="finite"}if(this.line.visProp.straightfirst){C=Number.NEGATIVE_INFINITY}else{C=0+u}if(this.line.visProp.straightlast){E=Number.POSITIVE_INFINITY}else{E=l-u}h=this.line.stdform[1];A=this.line.stdform[2];v=h;S=A;Q=Math.sqrt(h*h*this.board.unitX*this.board.unitX+A*A*this.board.unitY*this.board.unitY);h*=L/Q*this.board.unitX;A*=L/Q*this.board.unitY;v*=m/Q*this.board.unitX;S*=m/Q*this.board.unitY;this.removeTickLabels();this.ticks=[];this.labels=[];if(!this.equidistant){for(K=0;K<this.fixedTicks.length;K++){H=P.coords.usrCoords[1]+this.fixedTicks[K]*p;F=P.coords.usrCoords[2]+this.fixedTicks[K]*o;w=new JXG.Coords(JXG.COORDS_BY_USER,[H,F],this.board);g=this._tickEndings(w,h,A,v,S,true);if(g.length==2&&this.fixedTicks[K]>=C&&this.fixedTicks[K]<E){this.ticks.push(g)}this.labels.push(this._makeLabel(this.visProp.labels[K]||this.fixedTicks[K],w,this.board,this.visProp.drawlabels,this.id,K))}return}n=B;B*=this.visProp.scale;if(this.visProp.insertticks&&this.minTicksDistance>JXG.Math.eps){N=this._adjustTickDistance(B,s,J,P.coords,p,o);B*=N;n*=N}if(!this.visProp.insertticks){B/=this.visProp.minorticks+1;n/=this.visProp.minorticks+1}this.ticksDelta=B;this.symbTicksDelta=n;T=this.board.getBoundingBox();H=(T[0]+T[2])*0.5;F=(T[1]+T[3])*0.5;M=[H*this.line.stdform[2]-F*this.line.stdform[1],-this.line.stdform[2],this.line.stdform[1]];e=JXG.Math.crossProduct(this.line.stdform,M);e[1]/=e[0];e[2]/=e[0];e[0]=1;w=new JXG.Coords(JXG.COORDS_BY_USER,e.slice(1),this.board);Q=P.coords.distance(JXG.COORDS_BY_USER,w);if((O.X()-P.X())*(e[1]-P.X())<0||(O.Y()-P.Y())*(e[2]-P.Y())<0){Q*=-1}D=Math.round(Q/B)*B;if(Math.abs(D)>JXG.Math.eps){R=Math.abs(D)/D}e[1]=P.coords.usrCoords[1]+p*D;e[2]=P.coords.usrCoords[2]+o*D;q=D;D=0;k=0;r=q/this.visProp.scale;H=e[1];F=e[2];K=0;I=0;do{w=new JXG.Coords(JXG.COORDS_BY_USER,[H,F],this.board);w.major=Math.round((R*D+q)/B)%(this.visProp.minorticks+1)===0;g=this._tickEndings(w,h,A,v,S,w.major);if(g.length==2){z=R*k+r;if((Math.abs(z)<=u&&this.visProp.drawzero)||(z>C&&z<E)){this.ticks.push(g);if(w.major){this.labels.push(this._makeLabel(z,w,this.board,this.visProp.drawlabels,this.id,K))}else{this.labels.push(null)}K++}if(t==2){R*=(-1)}if(I%2===0||t===1){D+=B;k+=n}}else{R*=(-1);t--}I++;H=e[1]+R*p*D;F=e[2]+R*o*D}while(t>0);this.needsUpdate=true;this.updateRenderer()},_adjustTickDistance:function(e,l,k,m,g,d){var i,h,j=1;while(l>4*this.minTicksDistance){j/=10;i=m.usrCoords[1]+g*e*j;h=m.usrCoords[2]+d*e*j;l=m.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[i,h],this.board))}while(l<this.minTicksDistance){j*=k;k=(k==5?2:5);i=m.usrCoords[1]+g*e*j;h=m.usrCoords[2]+d*e*j;l=m.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[i,h],this.board))}return j},_tickEndings:function(u,A,e,p,t,q){var v,z,f=this.board.canvasWidth,m=this.board.canvasHeight,j=[-1000*f,-1000*m],h=[-1000*f,-1000*m],l,k,r,d,o,w,g=0,n=false;z=u.scrCoords;if(q){l=A;k=e;w=this.majStyle}else{l=p;k=t;w=this.minStyle}r=l*this.board.unitX;d=k*this.board.unitY;if(Math.abs(l)<JXG.Math.eps){j[0]=z[1];j[1]=z[1];h[0]=0;h[1]=m}else{if(Math.abs(k)<JXG.Math.eps){j[0]=0;j[1]=f;h[0]=z[2];h[1]=z[2]}else{g=0;o=JXG.Math.crossProduct([0,0,1],[-d*z[1]-r*z[2],d,r]);o[1]/=o[0];if(o[1]>=0&&o[1]<=f){j[g]=o[1];h[g]=0;g++}o=JXG.Math.crossProduct([0,1,0],[-d*z[1]-r*z[2],d,r]);o[2]/=o[0];if(o[2]>=0&&o[2]<=m){j[g]=0;h[g]=o[2];g++}if(g<2){o=JXG.Math.crossProduct([m*m,0,-m],[-d*z[1]-r*z[2],d,r]);o[1]/=o[0];if(o[1]>=0&&o[1]<=f){j[g]=o[1];h[g]=m;g++}}if(g<2){o=JXG.Math.crossProduct([f*f,-f,0],[-d*z[1]-r*z[2],d,r]);o[2]/=o[0];if(o[2]>=0&&o[2]<=m){j[g]=f;h[g]=o[2]}}}}if((j[0]>=0&&j[0]<=f&&h[0]>=0&&h[0]<=m)||(j[1]>=0&&j[1]<=f&&h[1]>=0&&h[1]<=m)){n=true}else{n=false}if(w=="finite"){j[0]=z[1]+l;h[0]=z[2]-k;j[1]=z[1]-l;h[1]=z[2]+k}if(n){return[j,h]}else{return[]}},_makeLabel:function(m,d,l,f,e,h){var g,n,k,j=typeof m==="number";if(!f){return null}g=m.toString();if(Math.abs(m)<JXG.Math.eps){g="0"}if(j&&(g.length>5||g.indexOf("e")!=-1)){g=m.toPrecision(3).toString()}if(j&&g.indexOf(".")>-1){g=g.replace(/0+$/,"");g=g.replace(/\.$/,"")}if(this.visProp.scalesymbol.length>0&&g==="1"){g=this.visProp.scalesymbol}else{if(this.visProp.scalesymbol.length>0&&g==="0"){g="0"}else{g=g+this.visProp.scalesymbol}}k={id:e+h+"Label",isLabel:true,layer:l.options.layer.line,highlightStrokeColor:l.options.text.strokeColor,highlightStrokeWidth:l.options.text.strokeWidth,highlightStrokeOpacity:l.options.text.strokeOpacity,visible:this.visProp.visible,priv:this.visProp.priv};k=JXG.deepCopy(k,this.visProp.label);n=JXG.createText(l,[d.usrCoords[1],d.usrCoords[2],g],k);n.isDraggable=false;n.dump=false;n.distanceX=this.visProp.label.offset[0];n.distanceY=this.visProp.label.offset[1];n.setCoords(d.usrCoords[1]+n.distanceX/(l.unitX),d.usrCoords[2]+n.distanceY/(l.unitY));n.visProp.visible=f;return n},removeTickLabels:function(){var d;if(this.labels!=null){if((this.board.needsFullUpdate||this.needsRegularUpdate)&&!(this.board.options.renderer=="canvas"&&this.board.options.text.display=="internal")){for(d=0;d<this.labels.length;d++){if(this.labels[d]!=null){this.board.removeObject(this.labels[d])}}}}},update:function(){if(this.needsUpdate){this.calculateTicksCoordinates()}return this},updateRenderer:function(){if(this.needsUpdate){if(this.ticks){this.board.renderer.updateTicks(this,this.dxMaj,this.dyMaj,this.dxMin,this.dyMin,this.minStyle,this.majStyle)}this.needsUpdate=false}return this},hideElement:function(){var d;this.visProp.visible=false;this.board.renderer.hide(this);for(d=0;d<this.labels.length;d++){if(JXG.exists(this.labels[d])){this.labels[d].hideElement()}}return this},showElement:function(){var d;this.visProp.visible=true;this.board.renderer.show(this);for(d=0;d<this.labels.length;d++){if(JXG.exists(this.labels[d])){this.labels[d].showElement()}}return this}});JXG.createTicks=function(h,f,e){var g,i,d=JXG.copyAttributes(e,h.options,"ticks");if(f.length<2){i=e.ticksDistance}else{i=f[1]}if((f[0].elementClass==JXG.OBJECT_CLASS_LINE)&&(JXG.isFunction(f[1])||JXG.isArray(f[1])||JXG.isNumber(f[1]))){g=new JXG.Ticks(f[0],i,d)}else{throw new Error("JSXGraph: Can't create Ticks with parent types '"+(typeof f[0])+"' and '"+(typeof f[1])+"'.")}return g};JXG.JSXGraph.registerElement("ticks",JXG.createTicks);JXG.Util={};JXG.Util.Unzip=function(V){var p=[],I="",G=false,D,J=0,S=[],t,k=new Array(32768),aa=0,N=false,X,K,Z=[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],ad=[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],U=[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],O=[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],C=[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],q=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15],z=V,e=0,j=0,ae=1,d=0,ac=256,i=[],m;function g(){d+=8;if(e<z.length){return z[e++]}else{return -1}}function r(){ae=1}function Y(){var ag;d++;ag=(ae&1);ae>>=1;if(ae==0){ae=g();ag=(ae&1);ae=(ae>>1)|128}return ag}function W(ag){var ai=0,ah=ag;while(ah--){ai=(ai<<1)|Y()}if(ag){ai=Z[ai]>>(8-ag)}return ai}function f(){aa=0}function A(ag){K++;k[aa++]=ag;p.push(String.fromCharCode(ag));if(aa==32768){aa=0}}function o(){this.b0=0;this.b1=0;this.jump=null;this.jumppos=-1}var h=288;var w=new Array(h);var Q=new Array(32);var L=0;var ab=null;var s=null;var P=new Array(64);var M=new Array(64);var B=0;var F=new Array(17);F[0]=0;var R;var v;function l(){while(1){if(F[B]>=v){return -1}if(R[F[B]]==B){return F[B]++}F[B]++}}function H(){var ah=ab[L];var ag;if(G){document.write("<br>len:"+B+" treepos:"+L)}if(B==17){return -1}L++;B++;ag=l();if(G){document.write("<br>IsPat "+ag)}if(ag>=0){ah.b0=ag;if(G){document.write("<br>b0 "+ah.b0)}}else{ah.b0=32768;if(G){document.write("<br>b0 "+ah.b0)}if(H()){return -1}}ag=l();if(ag>=0){ah.b1=ag;if(G){document.write("<br>b1 "+ah.b1)}ah.jump=null}else{ah.b1=32768;if(G){document.write("<br>b1 "+ah.b1)}ah.jump=ab[L];ah.jumppos=L;if(H()){return -1}}B--;return 0}function n(ak,ai,al,ah){var aj;if(G){document.write("currentTree "+ak+" numval "+ai+" lengths "+al+" show "+ah)}ab=ak;L=0;R=al;v=ai;for(aj=0;aj<17;aj++){F[aj]=0}B=0;if(H()){if(G){alert("invalid huffman tree\n")}return -1}if(G){document.write("<br>Tree: "+ab.length);for(var ag=0;ag<32;ag++){document.write("Places["+ag+"].b0="+ab[ag].b0+"<br>");document.write("Places["+ag+"].b1="+ab[ag].b1+"<br>")}}return 0}function E(aj){var ah,ai,al=0,ak=aj[al],ag;while(1){ag=Y();if(G){document.write("b="+ag)}if(ag){if(!(ak.b1&32768)){if(G){document.write("ret1")}return ak.b1}ak=ak.jump;ah=aj.length;for(ai=0;ai<ah;ai++){if(aj[ai]===ak){al=ai;break}}}else{if(!(ak.b0&32768)){if(G){document.write("ret2")}return ak.b0}al++;ak=aj[al]}}if(G){document.write("ret3")}return -1}function af(){var ak,ax,ah,av,aw;do{ak=Y();ah=W(2);switch(ah){case 0:if(G){alert("Stored\n")}break;case 1:if(G){alert("Fixed Huffman codes\n")}break;case 2:if(G){alert("Dynamic Huffman codes\n")}break;case 3:if(G){alert("Reserved block type!!\n")}break;default:if(G){alert("Unexpected value %d!\n",ah)}break}if(ah==0){var at,ag;r();at=g();at|=(g()<<8);ag=g();ag|=(g()<<8);if(((at^~ag)&65535)){document.write("BlockLen checksum mismatch\n")}while(at--){ax=g();A(ax)}}else{if(ah==1){var au;while(1){au=(Z[W(7)]>>1);if(au>23){au=(au<<1)|Y();if(au>199){au-=128;au=(au<<1)|Y()}else{au-=48;if(au>143){au=au+136}}}else{au+=256}if(au<256){A(au)}else{if(au==256){break}else{var aw,ap;au-=256+1;aw=W(U[au])+ad[au];au=Z[W(5)]>>3;if(C[au]>8){ap=W(8);ap|=(W(C[au]-8)<<8)}else{ap=W(C[au])}ap+=O[au];for(au=0;au<aw;au++){var ax=k[(aa-ap)&32767];A(ax)}}}}}else{if(ah==2){var au,aq,ai,an,ao;var am=new Array(288+32);ai=257+W(5);an=1+W(5);ao=4+W(4);for(au=0;au<19;au++){am[au]=0}for(au=0;au<ao;au++){am[q[au]]=W(3)}aw=Q.length;for(av=0;av<aw;av++){Q[av]=new o()}if(n(Q,19,am,0)){f();return 1}if(G){document.write("<br>distanceTree");for(var ay=0;ay<Q.length;ay++){document.write("<br>"+Q[ay].b0+" "+Q[ay].b1+" "+Q[ay].jump+" "+Q[ay].jumppos)}}aq=ai+an;av=0;var aj=-1;if(G){document.write("<br>n="+aq+" bits: "+d+"<br>")}while(av<aq){aj++;au=E(Q);if(G){document.write("<br>"+aj+" i:"+av+" decode: "+au+"    bits "+d+"<br>")}if(au<16){am[av++]=au}else{if(au==16){var ar;au=3+W(2);if(av+au>aq){f();return 1}ar=av?am[av-1]:0;while(au--){am[av++]=ar}}else{if(au==17){au=3+W(3)}else{au=11+W(7)}if(av+au>aq){f();return 1}while(au--){am[av++]=0}}}}aw=w.length;for(av=0;av<aw;av++){w[av]=new o()}if(n(w,ai,am,0)){f();return 1}aw=w.length;for(av=0;av<aw;av++){Q[av]=new o()}var al=new Array();for(av=ai;av<am.length;av++){al[av-ai]=am[av]}if(n(Q,an,al,0)){f();return 1}if(G){document.write("<br>literalTree")}while(1){au=E(w);if(au>=256){var aw,ap;au-=256;if(au==0){break}au--;aw=W(U[au])+ad[au];au=E(Q);if(C[au]>8){ap=W(8);ap|=(W(C[au]-8)<<8)}else{ap=W(C[au])}ap+=O[au];while(aw--){var ax=k[(aa-ap)&32767];A(ax)}}else{A(au)}}}}}}while(!ak);f();r();return 0}JXG.Util.Unzip.prototype.unzipFile=function(ag){var ah;this.unzip();for(ah=0;ah<S.length;ah++){if(S[ah][1]==ag){return S[ah][0]}}};JXG.Util.Unzip.prototype.unzip=function(){if(G){alert(z)}u();return S};function u(){if(G){alert("NEXTFILE")}p=[];var ak=[];N=false;ak[0]=g();ak[1]=g();if(G){alert("type: "+ak[0]+" "+ak[1])}if(ak[0]==parseInt("78",16)&&ak[1]==parseInt("da",16)){if(G){alert("GEONExT-GZIP")}af();if(G){alert(p.join(""))}S[J]=new Array(2);S[J][0]=p.join("");S[J][1]="geonext.gxt";J++}if(ak[0]==parseInt("1f",16)&&ak[1]==parseInt("8b",16)){if(G){alert("GZIP")}T();if(G){alert(p.join(""))}S[J]=new Array(2);S[J][0]=p.join("");S[J][1]="file";J++}if(ak[0]==parseInt("50",16)&&ak[1]==parseInt("4b",16)){N=true;ak[2]=g();ak[3]=g();if(ak[2]==parseInt("3",16)&&ak[3]==parseInt("4",16)){ak[0]=g();ak[1]=g();if(G){alert("ZIP-Version: "+ak[1]+" "+ak[0]/10+"."+ak[0]%10)}D=g();D|=(g()<<8);if(G){alert("gpflags: "+D)}var ag=g();ag|=(g()<<8);if(G){alert("method: "+ag)}g();g();g();g();var al=g();al|=(g()<<8);al|=(g()<<16);al|=(g()<<24);var aj=g();aj|=(g()<<8);aj|=(g()<<16);aj|=(g()<<24);var ao=g();ao|=(g()<<8);ao|=(g()<<16);ao|=(g()<<24);if(G){alert("local CRC: "+al+"\nlocal Size: "+ao+"\nlocal CompSize: "+aj)}var ah=g();ah|=(g()<<8);var an=g();an|=(g()<<8);if(G){alert("filelen "+ah)}ai=0;i=[];while(ah--){var am=g();if(am=="/"|am==":"){ai=0}else{if(ai<ac-1){i[ai++]=String.fromCharCode(am)}}}if(G){alert("nameBuf: "+i)}if(!m){m=i}var ai=0;while(ai<an){am=g();ai++}X=4294967295;K=0;if(ao=0&&fileOut.charAt(m.length-1)=="/"){if(G){alert("skipdir")}}if(ag==8){af();if(G){alert(p.join(""))}S[J]=new Array(2);S[J][0]=p.join("");S[J][1]=i.join("");J++}T()}}}function T(){var al,ai=[],aj,ah,ak,ag,am;if((D&8)){ai[0]=g();ai[1]=g();ai[2]=g();ai[3]=g();if(ai[0]==parseInt("50",16)&&ai[1]==parseInt("4b",16)&&ai[2]==parseInt("07",16)&&ai[3]==parseInt("08",16)){al=g();al|=(g()<<8);al|=(g()<<16);al|=(g()<<24)}else{al=ai[0]|(ai[1]<<8)|(ai[2]<<16)|(ai[3]<<24)}aj=g();aj|=(g()<<8);aj|=(g()<<16);aj|=(g()<<24);ah=g();ah|=(g()<<8);ah|=(g()<<16);ah|=(g()<<24);if(G){alert("CRC:")}}if(N){u()}ai[0]=g();if(ai[0]!=8){if(G){alert("Unknown compression method!")}return 0}D=g();if(G){if((D&~(parseInt("1f",16)))){alert("Unknown flags set!")}}g();g();g();g();g();ak=g();if((D&4)){ai[0]=g();ai[2]=g();B=ai[0]+256*ai[1];if(G){alert("Extra field size: "+B)}for(ag=0;ag<B;ag++){g()}}if((D&8)){ag=0;i=[];while(am=g()){if(am=="7"||am==":"){ag=0}if(ag<ac-1){i[ag++]=am}}if(G){alert("original file name: "+i)}}if((D&16)){while(am=g()){}}if((D&2)){g();g()}af();al=g();al|=(g()<<8);al|=(g()<<16);al|=(g()<<24);ah=g();ah|=(g()<<8);ah|=(g()<<16);ah|=(g()<<24);if(N){u()}}};JXG.Util.Base64={_keyStr:"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=",encode:function(f){var d=[],n,l,j,m,k,h,g,e=0;f=JXG.Util.Base64._utf8_encode(f);while(e<f.length){n=f.charCodeAt(e++);l=f.charCodeAt(e++);j=f.charCodeAt(e++);m=n>>2;k=((n&3)<<4)|(l>>4);h=((l&15)<<2)|(j>>6);g=j&63;if(isNaN(l)){h=g=64}else{if(isNaN(j)){g=64}}d.push([this._keyStr.charAt(m),this._keyStr.charAt(k),this._keyStr.charAt(h),this._keyStr.charAt(g)].join(""))}return d.join("")},decode:function(g,f){var d=[],o,m,k,n,l,j,h,e=0;g=g.replace(/[^A-Za-z0-9\+\/\=]/g,"");while(e<g.length){n=this._keyStr.indexOf(g.charAt(e++));l=this._keyStr.indexOf(g.charAt(e++));j=this._keyStr.indexOf(g.charAt(e++));h=this._keyStr.indexOf(g.charAt(e++));o=(n<<2)|(l>>4);m=((l&15)<<4)|(j>>2);k=((j&3)<<6)|h;d.push(String.fromCharCode(o));if(j!=64){d.push(String.fromCharCode(m))}if(h!=64){d.push(String.fromCharCode(k))}}d=d.join("");if(f){d=JXG.Util.Base64._utf8_decode(d)}return d},_utf8_encode:function(e){e=e.replace(/\r\n/g,"\n");var d="";for(var g=0;g<e.length;g++){var f=e.charCodeAt(g);if(f<128){d+=String.fromCharCode(f)}else{if((f>127)&&(f<2048)){d+=String.fromCharCode((f>>6)|192);d+=String.fromCharCode((f&63)|128)}else{d+=String.fromCharCode((f>>12)|224);d+=String.fromCharCode(((f>>6)&63)|128);d+=String.fromCharCode((f&63)|128)}}}return d},_utf8_decode:function(d){var f=[],h=0,j=0,g=0,e=0;while(h<d.length){j=d.charCodeAt(h);if(j<128){f.push(String.fromCharCode(j));h++}else{if((j>191)&&(j<224)){g=d.charCodeAt(h+1);f.push(String.fromCharCode(((j&31)<<6)|(g&63)));h+=2}else{g=d.charCodeAt(h+1);e=d.charCodeAt(h+2);f.push(String.fromCharCode(((j&15)<<12)|((g&63)<<6)|(e&63)));h+=3}}}return f.join("")},_destrip:function(j,g){var e=[],h,f,d=[];if(g==null){g=76}j.replace(/ /g,"");h=j.length/g;for(f=0;f<h;f++){e[f]=j.substr(f*g,g)}if(h!=j.length/g){e[e.length]=j.substr(h*g,j.length-(h*g))}for(f=0;f<e.length;f++){d.push(e[f])}return d.join("\n")},decodeAsArray:function(e){var g=this.decode(e),d=[],f;for(f=0;f<g.length;f++){d[f]=g.charCodeAt(f)}return d},decodeGEONExT:function(d){return decodeAsArray(destrip(d),false)}};JXG.Util.asciiCharCodeAt=function(e,d){var f=e.charCodeAt(d);if(f>255){switch(f){case 8364:f=128;break;case 8218:f=130;break;case 402:f=131;break;case 8222:f=132;break;case 8230:f=133;break;case 8224:f=134;break;case 8225:f=135;break;case 710:f=136;break;case 8240:f=137;break;case 352:f=138;break;case 8249:f=139;break;case 338:f=140;break;case 381:f=142;break;case 8216:f=145;break;case 8217:f=146;break;case 8220:f=147;break;case 8221:f=148;break;case 8226:f=149;break;case 8211:f=150;break;case 8212:f=151;break;case 732:f=152;break;case 8482:f=153;break;case 353:f=154;break;case 8250:f=155;break;case 339:f=156;break;case 382:f=158;break;case 376:f=159;break;default:break}}return f};JXG.Util.utf8Decode=function(d){var f=[];var h=0;var k=0,j=0,g=0,e;if(!JXG.exists(d)){return""}while(h<d.length){k=d.charCodeAt(h);if(k<128){f.push(String.fromCharCode(k));h++}else{if((k>191)&&(k<224)){g=d.charCodeAt(h+1);f.push(String.fromCharCode(((k&31)<<6)|(g&63)));h+=2}else{g=d.charCodeAt(h+1);e=d.charCodeAt(h+2);f.push(String.fromCharCode(((k&15)<<12)|((g&63)<<6)|(e&63)));h+=3}}}return f.join("")};JXG.Util.genUUID=function(){var h="0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz".split(""),f=new Array(36),e=0,g;for(var d=0;d<36;d++){if(d==8||d==13||d==18||d==23){f[d]="-"}else{if(d==14){f[d]="4"}else{if(e<=2){e=33554432+(Math.random()*16777216)|0}g=e&15;e=e>>4;f[d]=h[(d==19)?(g&3)|8:g]}}}return f.join("")};JXG.PsTricks={convert:function(g){var h=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],g),j=new JXG.Coords(JXG.COORDS_BY_SCREEN,[g.canvasWidth,g.canvasHeight],g),e,f,d=[];d.push("\\begin{pspicture*}("+h.usrCoords[1]+","+j.usrCoords[2]+")("+j.usrCoords[1]+","+h.usrCoords[2]+")\n");for(e in g.objects){f=g.objects[e];if(f.visProp.visible){switch(f.elementClass){case JXG.OBJECT_CLASS_CIRCLE:d.push(this.addCircle(f));break;case JXG.OBJECT_CLASS_LINE:d.push(this.addLine(f));break;case JXG.OBJECT_CLASS_POINT:d.push(this.addPoint(f));break;default:switch(f.type){case JXG.OBJECT_TYPE_ARC:d.push(this.addArc(f));break;case JXG.OBJECT_TYPE_SECTOR:d.push(this.addArc(f));d.push(this.addSector(f));break;case JXG.OBJECT_TYPE_POLYGON:d.push(this.addPolygon(f));break;case JXG.OBJECT_TYPE_ANGLE:d.push(this.addAngle(f));break}break}}}d.push("\\end{pspicture*}");return d.join("\n")},setArrows:function(e){var d="";if(e.visProp.firstarrow&&e.visProp.lastarrow){d="{<->}"}else{if(e.visProp.firstarrow){d="{<-}"}else{if(e.visProp.lastarrow){d="{->}"}}}return d},drawWedge:function(f,g,h,e,j,i){var d="";if(f!="none"&&g>0){d+="\\pswedge[linestyle=none, fillstyle=solid, fillcolor="+this.parseColor(f)+", opacity="+g.toFixed(5)+"]";d+="("+h.join(",")+"){"+e+"}{"+j+"}{"+i+"}\n"}return d},addPoint:function(f){var d="\\psdot[linecolor="+this.parseColor(f.visProp.strokecolor)+",dotstyle=",g=f.normalizeFace(f.visProp.face)||"o",e=f.visProp.size>4?4:f.visProp.size,h=[0,0,"2pt 2","5pt 2","5pt 3"];if(g=="x"){d+="x, dotsize="+h[e]}else{if(g=="o"){d+="*, dotsize=";if(e==1){d+="2pt 2"}else{if(e==2){d+="4pt 2"}else{if(e==3){d+="6pt 2"}else{if(e==4){d+="6pt 3"}}}}}else{if(g=="[]"){d+="square*, dotsize="+h[e]}else{if(g=="+"){d+="+, dotsize="+h[e]}}}}d+="]("+f.coords.usrCoords.slice(1).join(",")+")\n";d+="\\rput("+(f.coords.usrCoords[1]+15/f.board.unitY)+","+(f.coords.usrCoords[2]+15/f.board.unitY)+"){\\small $"+f.name+"$}\n";return d},addLine:function(g){var f=new JXG.Coords(JXG.COORDS_BY_USER,g.point1.coords.usrCoords,g.board),e=new JXG.Coords(JXG.COORDS_BY_USER,g.point2.coords.usrCoords,g.board),d="\\psline[linecolor="+this.parseColor(g.visProp.strokecolor)+", linewidth="+g.visProp.strokewidth+"px]";if(g.visProp.straightfirst||g.visProp.straightlast){JXG.Math.Geometry.calcStraight(g,f,e)}d+=this.setArrows(g);d+="("+f.usrCoords.slice(1).join(",")+")("+e.usrCoords.slice(2).join(",")+")\n";return d},addCircle:function(f){var e=f.Radius(),d="\\pscircle[linecolor="+this.parseColor(f.visProp.strokecolor)+", linewidth="+f.visProp.strokewidth+"px";if(f.visProp.fillcolor!="none"&&f.visProp.fillopacity!=0){d+=", fillstyle=solid, fillcolor="+this.parseColor(f.visProp.fillcolor)+", opacity="+f.visProp.fillopacity.toFixed(5)}d+="]("+f.center.coords.usrCoords.slice(1).join("1")+"){"+e+"}\n";return d},addPolygon:function(f){var d="\\pspolygon[linestyle=none, fillstyle=solid, fillcolor="+this.parseColor(f.visProp.fillcolor)+", opacity="+f.visProp.fillopacity.toFixed(5)+"]",e;for(e=0;e<f.vertices.length;e++){d+="("+f.vertices[e].coords.usrCoords.slice(1).join(",")+")"}d+="\n";return d},addArc:function(f){var e=f.Radius(),h={coords:new JXG.Coords(JXG.COORDS_BY_USER,[f.board.canvasWidth/(f.board.unitY),f.center.coords.usrCoords[2]],f.board)},g=JXG.Math.Geometry.trueAngle(h,f.center,f.point2).toFixed(4),i=JXG.Math.Geometry.trueAngle(h,f.center,f.point3).toFixed(4),d="\\psarc[linecolor="+this.parseColor(f.visProp.strokecolor)+", linewidth="+f.visProp.strokewidth+"px]";d+=this.setArrows(f);d+="("+f.center.coords.usrCoords.slice(1).join(",")+"){"+e+"}{"+g+"}{"+i+"}\n";return d},addSector:function(e){var d=e.Radius(),g={coords:new JXG.Coords(JXG.COORDS_BY_USER,[e.board.canvasWidth/(e.board.unitY),e.point1.coords.usrCoords[2]],e.board)},f=JXG.Math.Geometry.trueAngle(g,e.point1,e.point2).toFixed(4),h=JXG.Math.Geometry.trueAngle(g,e.point1,e.point3).toFixed(4);return this.drawWedge(e.visProp.fillcolor,e.visProp.fillopacity,e.point1.coords.usrCoords.slice(1),d,f,h)},addAngle:function(f){var e=f.radius,h={coords:new JXG.Coords(JXG.COORDS_BY_USER,[f.board.canvasWidth/(f.board.unitY),f.point2.coords.usrCoords[2]],f.board)},g=JXG.Math.Geometry.trueAngle(h,f.point2,f.point1).toFixed(4),i=JXG.Math.Geometry.trueAngle(h,f.point2,f.point3).toFixed(4),d;d=this.drawWedge(f.visProp.fillcolor,f.visProp.fillopacity,f.point2.coords.usrCoords.slice(1),e,g,i);d+="\\psarc[linecolor="+this.parseColor(f.visProp.strokecolor)+", linewidth="+f.visProp.strokewidth+"px]";d+="("+f.point2.coords.usrCoords.slice(1).join(",")+"){"+e+"}{"+g+"}{"+i+"}\n";return d},parseColor:function(e){var d=JXG.rgbParser(e);return"{[rgb]{"+d[0]/255+","+d[1]/255+","+d[2]/255+"}}"}};JXG.Server=function(){};JXG.Server.modules=function(){};JXG.Server.runningCalls={};JXG.Server.handleError=function(d){alert("error occured, server says: "+d.message)};JXG.Server.callServer=function(h,o,i,m){var n,e,l,g,d,j,f;m=m||false;g="";for(f in i){g+="&"+escape(f)+"="+escape(i[f])}j=JXG.toJSON(i);do{d=h+Math.floor(Math.random()*4096)}while(typeof this.runningCalls[d]!="undefined");this.runningCalls[d]={action:h};if(typeof i.module!="undefined"){this.runningCalls[d].module=i.module}n=JXG.serverBase+"JXGServer.py";e="action="+escape(h)+"&id="+d+"&dataJSON="+escape(JXG.Util.Base64.encode(j));this.cbp=function(u){var w,q,r,t,v,k,s,p;w=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(u))).unzip();if(JXG.isArray(w)&&w.length>0){w=w[0][0]}if(typeof w!="string"){return}q=window.JSON&&window.JSON.parse?window.JSON.parse(w):(new Function("return "+w))();if(q.type=="error"){this.handleError(q)}else{if(q.type=="response"){k=q.id;for(s=0;s<q.fields.length;s++){r=q.fields[s];t=r.namespace+(typeof((new Function("return "+r.namespace))())=="object"?".":".prototype.")+r.name+" = "+r.value;(new Function(t))()}for(s=0;s<q.handler.length;s++){r=q.handler[s];v=[];for(p=0;p<r.parameters.length;p++){v[p]='"'+r.parameters[p]+'": '+r.parameters[p]}t="if(typeof JXG.Server.modules."+this.runningCalls[k].module+' == "undefined")JXG.Server.modules.'+this.runningCalls[k].module+" = {};";t+="JXG.Server.modules."+this.runningCalls[k].module+"."+r.name+"_cb = "+r.callback+";";t+="JXG.Server.modules."+this.runningCalls[k].module+"."+r.name+" = function ("+r.parameters.join(",")+', __JXGSERVER_CB__, __JXGSERVER_SYNC) {if(typeof __JXGSERVER_CB__ == "undefined") __JXGSERVER_CB__ = JXG.Server.modules.'+this.runningCalls[k].module+"."+r.name+"_cb;var __JXGSERVER_PAR__ = {"+v.join(",")+', "module": "'+this.runningCalls[k].module+'", "handler": "'+r.name+'" };JXG.Server.callServer("exec", __JXGSERVER_CB__, __JXGSERVER_PAR__, __JXGSERVER_SYNC);};';(new Function(t))()}delete this.runningCalls[k];o(q.data)}}};this.cb=JXG.bind(this.cbp,this);if(window.XMLHttpRequest){l=new XMLHttpRequest();l.overrideMimeType("text/plain; charset=iso-8859-1")}else{l=new ActiveXObject("Microsoft.XMLHTTP")}if(l){l.open("POST",n,!m);l.setRequestHeader("Content-type","application/x-www-form-urlencoded");if(!m){l.onreadystatechange=(function(k){return function(){switch(l.readyState){case 4:if(l.status!=200){}else{k(l.responseText)}break;default:return false;break}}})(this.cb)}l.send(e);if(m){this.cb(l.responseText)}}else{return false}};JXG.Server.loadModule_cb=function(e){var d;for(d=0;d<e.length;d++){alert(e[d].name+": "+e[d].value)}};JXG.Server.loadModule=function(d){return JXG.Server.callServer("load",JXG.Server.loadModule_cb,{module:d},true)};JXG.Server.load=JXG.Server.loadModule;JXG.DataSource=function(){this.data=[];this.columnHeaders=[];this.rowHeaders=[];return this};JXG.extend(JXG.DataSource.prototype,{loadFromArray:function(h,k,g){var f,e,d;if(typeof k=="undefined"){k=false}if(typeof g=="undefined"){g=false}if(JXG.isArray(k)){this.columnHeaders=k;k=false}if(JXG.isArray(g)){this.rowHeaders=g;g=false}this.data=[];if(k){this.columnHeaders=[]}if(g){this.rowHeaders=[]}if(typeof h!="undefined"){this.data=new Array(h.length);for(f=0;f<h.length;f++){this.data[f]=new Array(h[f].length);for(e=0;e<h[f].length;e++){d=h[f][e];if(""+parseFloat(d)==d){this.data[f][e]=parseFloat(d)}else{if(d!="-"){this.data[f][e]=d}else{this.data[f][e]=NaN}}}}if(k){this.columnHeaders=this.data[0].slice(1);this.data=this.data.slice(1)}if(g){this.rowHeaders=new Array();for(f=0;f<this.data.length;f++){this.rowHeaders.push(this.data[f][0]);this.data[f]=this.data[f].slice(1)}}}return this},loadFromTable:function(m,f,k){var n,h,g,e,l,d;if(typeof f=="undefined"){f=false}if(typeof k=="undefined"){k=false}if(JXG.isArray(f)){this.columnHeaders=f;f=false}if(JXG.isArray(k)){this.rowHeaders=k;k=false}this.data=[];if(f){this.columnHeaders=[]}if(k){this.rowHeaders=[]}m=document.getElementById(m);if(typeof m!="undefined"){n=m.getElementsByTagName("tr");this.data=new Array(n.length);for(h=0;h<n.length;h++){e=n[h].getElementsByTagName("td");this.data[h]=new Array(e.length);for(g=0;g<e.length;g++){l=e[g].innerHTML;if(""+parseFloat(l)==l){this.data[h][g]=parseFloat(l)}else{if(l!="-"){this.data[h][g]=l}else{this.data[h][g]=NaN}}}}if(f){this.columnHeaders=this.data[0].slice(1);this.data=this.data.slice(1)}if(k){this.rowHeaders=new Array();for(h=0;h<this.data.length;h++){this.rowHeaders.push(this.data[h][0]);this.data[h]=this.data[h].slice(1)}}}return this},addColumn:function(d,f,e){},addRow:function(d,f,e){},getColumn:function(e){var d=new Array(this.data.length),f;if(typeof e=="string"){for(f=0;f<this.columnHeaders.length;f++){if(e==this.columnHeaders[f]){e=f;break}}}for(f=0;f<this.data.length;f++){if(this.data[f].length>e){d[f]=parseFloat(this.data[f][e])}}return d},getRow:function(f){var d,e;if(typeof f=="string"){for(e=0;e<this.rowHeaders.length;e++){if(f==this.rowHeaders[e]){f=e;break}}}d=new Array(this.data[f].length);for(e=0;e<this.data[f].length;e++){d[e]=this.data[f][e]}return d}});JXG.JessieCode=function(f,e){var d;this.sstack=[{}];this.scope=0;this.pstack=[[]];this.dpstack=[[]];this.pscope=0;this.propstack=[{}];this.propscope=0;this.propobj=0;this.lhs=[];this.isLHS=false;this.warnLog="jcwarn";this.builtIn=this.defineBuiltIn();this.board=null;this.lineToElement={};this.countLines=true;this.parCurLine=1;this.parCurColumn=0;this.line=1;this.col=1;this.maxRuntime=10000;if(typeof f==="string"){this.parse(f)}};JXG.extend(JXG.JessieCode.prototype,{node:function(e,f,d){return{type:e,value:f,children:d}},createNode:function(f,g,e){var h=this.node(f,g,[]),d;for(d=2;d<arguments.length;d++){h.children.push(arguments[d])}h.line=this.parCurLine;h.col=this.parCurColumn;return h},getElementById:function(d){return this.board.objects[d]},creator:(function(){var e={},d;d=function(h){var g;if(typeof e[this.board.id+h]==="function"){return e[this.board.id+h]}else{g=(function(f){return function(k,j){var i;if(JXG.exists(j)){i=j}else{i={name:(f.lhs[f.scope]!==0?f.lhs[f.scope]:"")}}return f.board.create(h,k,i)}})(this);g.creator=true;e[this.board.id+h]=g;return g}};d.clearCache=function(){e={}};return d})(),letvar:function(e,d){if(this.builtIn[e]){this._warn('"'+e+'" is a predefined value.')}this.sstack[this.scope][e]=d},isLocalVariable:function(e){var d;for(d=this.scope;d>-1;d--){if(JXG.exists(this.sstack[d][e])){return d}}return -1},isCreator:function(d){return !!JXG.JSXGraph.elements[d]},isMathMethod:function(d){return d!=="E"&&!!Math[d]},isBuiltIn:function(d){return !!this.builtIn[d]},getvar:function(g,d){var f,e;d=JXG.def(d,false);f=this.isLocalVariable(g);if(f>-1){return this.sstack[f][g]}if(this.isCreator(g)){return this.creator(g)}if(this.isMathMethod(g)){return Math[g]}if(this.isBuiltIn(g)){return this.builtIn[g]}if(!d){f=JXG.getRef(this.board,g);if(f!==g){return f}}return e},getvarJS:function(g,d,f){var e;d=JXG.def(d,false);f=JXG.def(f,false);if(JXG.indexOf(this.pstack[this.pscope],g)>-1){return g}e=this.isLocalVariable(g);if(e>-1){return"$jc$.sstack["+e+"]['"+g+"']"}if(this.isCreator(g)){return"(function () { var a = Array.prototype.slice.call(arguments, 0), props = "+(f?"a.pop()":"{}")+"; return $jc$.board.create.apply($jc$.board, ['"+g+"'].concat([a, props])); })"}if(this.isMathMethod(g)){return"Math."+g}if(this.isBuiltIn(g)){return this.builtIn[g].src||this.builtIn[g]}if(!d){if(JXG.isId(this.board,g)){return"$jc$.board.objects['"+g+"']"}else{if(JXG.isName(this.board,g)){return"$jc$.board.elementsByName['"+g+"']"}else{if(JXG.isGroup(this.board,g)){return"$jc$.board.groups['"+g+"']"}}}}return""},setProp:function(h,g,f){var e={},d,i;if(h.elementClass===JXG.OBJECT_CLASS_POINT&&(g==="X"||g==="Y")){g=g.toLowerCase();if(h.isDraggable&&typeof f==="number"){d=g==="x"?f:h.X();i=g==="y"?f:h.Y();h.setPosition(JXG.COORDS_BY_USER,[d,i])}else{if(h.isDraggable&&(typeof f==="function"||typeof f==="string")){d=g==="x"?f:h.coords.usrCoords[1];i=g==="y"?f:h.coords.usrCoords[2];h.addConstraint([d,i])}else{if(!h.isDraggable){d=g==="x"?f:h.XEval.origin;i=g==="y"?f:h.YEval.origin;h.addConstraint([d,i])}}}this.board.update()}else{if(h.type===JXG.OBJECT_TYPE_TEXT&&(g==="X"||g==="Y")){if(typeof f==="number"){h[g]=function(){return f}}else{if(typeof f==="function"){h.isDraggable=false;h[g]=f}else{if(typeof f==="string"){h.isDraggable=false;h[g]=JXG.createFunction(f,this.board,null,true);h[g+"jc"]=f}}}h[g].origin=f;this.board.update()}else{if(h.type&&h.elementClass&&h.visProp){e[g]=f;h.setProperty(e)}else{h[g]=f}}}},utf8_encode:function(e){var d=[],g,f;for(g=0;g<e.length;g++){f=e.charCodeAt(g);if(f<128){d.push(String.fromCharCode(f))}else{d.push("&#x"+f.toString(16)+";")}}return d.join("")},parse:function(d,n){var o=0,p=[],e=[],m=this,r,k=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Factorial","Floor","Log","Max","Min","Random","Round","Sin","Sqrt","Tan","Trunc","If","Deg","Rad","Dist"],q,l=d.replace(/\r\n/g,"\n").split("\n"),h,g,f=[];if(!JXG.exists(n)){n=false}for(h=0;h<l.length;h++){if(!(JXG.trim(l[h])[0]==="/"&&JXG.trim(l[h])[1]==="/")){if(n){for(g=0;g<k.length;g++){q=new RegExp(k[g]+"\\(","g");l[h]=l[h].replace(q,k[g].toLowerCase()+"(")}}f.push(l[h])}else{f.push("")}}d=f.join("\n");d=this.utf8_encode(d);if((o=this._parse(d,p,e))>0){for(h=0;h<o;h++){this.line=p[h].line;this._error("Parse error in line "+p[h].line+" near >"+d.substr(p[h].offset,30)+'<, expecting "'+e[h].join()+'"')}}},snippet:function(i,f,e,h){var j,k,g,d;j="jxg__tmp__intern_"+JXG.Util.genUUID().replace(/\-/g,"");if(!JXG.exists(f)){f=true}if(!JXG.exists(e)){e=""}if(!JXG.exists(h)){h=false}g=this.sstack[0][j];this.countLines=false;k=j+" = "+(f?" function ("+e+") { return ":"")+i+(f?"; }":"")+";";this.parse(k,h);d=this.sstack[0][j];if(JXG.exists(g)){this.sstack[0][j]=g}else{delete this.sstack[0][j]}this.countLines=true;return d},replaceIDs:function(f){var e,d;if(f.replaced){d=this.board.objects[f.children[1].children[0].value];if(JXG.exists(d)&&JXG.exists(d)&&d.name!==""){f.type="node_var";f.value=d.name;f.children.length=0;delete f.replaced}}if(f.children){for(e=f.children.length;e>0;e--){if(JXG.exists(f.children[e-1])){f.children[e-1]=this.replaceIDs(f.children[e-1])}}}return f},replaceNames:function(f){var e,d;d=f.value;if(f.type=="node_op"&&d=="op_lhs"&&f.children.length===1){this.isLHS=true}else{if(f.type=="node_var"){if(this.isLHS){this.letvar(d,true)}else{if(!JXG.exists(this.getvar(d,true))&&JXG.exists(this.board.elementsByName[d])){f=this.createReplacementNode(f)}}}}if(f.children){for(e=f.children.length;e>0;e--){if(JXG.exists(f.children[e-1])){f.children[e-1]=this.replaceNames(f.children[e-1])}}}if(f.type=="node_op"&&f.value=="op_lhs"&&f.children.length===1){this.isLHS=false}return f},createReplacementNode:function(f){var d=f.value,e=this.board.elementsByName[d];f=this.createNode("node_op","op_execfun",this.createNode("node_var","$"),this.createNode("node_op","op_param",this.createNode("node_str",e.id)));f.replaced=true;return f},collectDependencies:function(h,d){var g,f,j;f=h.value;if(h.type=="node_var"){j=this.getvar(f);if(j&&j.visProp&&j.type&&j.elementClass&&j.id){d[j.id]=j}}if(h.type=="node_op"&&h.value=="op_execfun"&&h.children.length>1&&h.children[0].value=="$"&&h.children[1].children.length>0){j=h.children[1].children[0].value;d[j]=this.board.objects[j]}if(h.children){for(g=h.children.length;g>0;g--){if(JXG.exists(h.children[g-1])){this.collectDependencies(h.children[g-1],d)}}}},resolveProperty:function(g,d,f){f=JXG.def(f,false);if(g&&g.methodMap){if(d==="label"){g=g.label;d="content"}else{if(JXG.exists(g.subs)&&JXG.exists(g.subs[d])){g=g.subs}else{if(JXG.exists(g.methodMap[d])){d=g.methodMap[d]}else{g=g.visProp;d=d.toLowerCase()}}}}if(!JXG.exists(g)){this._error(g+" is not an object")}if(!JXG.exists(g[d])){this._error("unknown property "+d)}if(f&&typeof g[d]==="function"){return function(){return g[d].apply(g,arguments)}}return g[d]},execute:function(node){var ret,v,i,e,parents=[];ret=0;if(this.cancel){this._error("Max runtime exceeded")}if(!node){return ret}this.line=node.line;this.col=node.col;switch(node.type){case"node_op":switch(node.value){case"op_none":if(node.children[0]){this.execute(node.children[0])}if(node.children[1]){ret=this.execute(node.children[1])}break;case"op_assign":v=this.execute(node.children[0]);this.lhs[this.scope]=v[1];if(v[0].type&&v[0].elementClass&&v[0].methodMap&&v[1]==="label"){this._error("Left-hand side of assignment is read-only.")}if(v[0]!==this.sstack[this.scope]||(JXG.isArray(v[0])&&typeof v[1]==="number")){this.setProp(v[0],v[1],this.execute(node.children[1]))}else{this.letvar(v[1],this.execute(node.children[1]))}this.lhs[this.scope]=0;break;case"op_noassign":ret=this.execute(node.children[0]);break;case"op_if":if(this.execute(node.children[0])){ret=this.execute(node.children[1])}break;case"op_if_else":if(this.execute(node.children[0])){ret=this.execute(node.children[1])}else{ret=this.execute(node.children[2])}break;case"op_while":while(this.execute(node.children[0])){this.execute(node.children[1])}break;case"op_do":do{this.execute(node.children[0])}while(this.execute(node.children[1]));break;case"op_for":for(this.execute(node.children[0]);this.execute(node.children[1]);this.execute(node.children[2])){this.execute(node.children[3])}break;case"op_param":if(node.children[1]){this.execute(node.children[1])}ret=node.children[0];this.pstack[this.pscope].push(ret);if(this.dpstack[this.pscope]){this.dpstack[this.pscope].push({line:node.children[0].line,col:node.children[0].col})}break;case"op_paramdef":if(node.children[1]){this.execute(node.children[1])}ret=node.children[0];this.pstack[this.pscope].push(ret);break;case"op_proplst":if(node.children[0]){this.execute(node.children[0])}if(node.children[1]){this.execute(node.children[1])}break;case"op_proplst_val":this.propstack.push({});this.propscope++;this.execute(node.children[0]);ret=this.propstack[this.propscope];this.propstack.pop();this.propscope--;break;case"op_prop":this.propstack[this.propscope][node.children[0]]=this.execute(node.children[1]);break;case"op_array":var l;this.pstack.push([]);this.pscope++;this.execute(node.children[0]);ret=[];l=this.pstack[this.pscope].length;for(i=0;i<l;i++){ret.push(this.execute(this.pstack[this.pscope][i]))}this.pstack.pop();this.pscope--;break;case"op_extvalue":var undef;ret=this.execute(node.children[0]);i=this.execute(node.children[1]);if(typeof i==="number"&&Math.abs(Math.round(i)-i)<JXG.Math.eps){ret=ret[i]}else{ret=undef}break;case"op_return":if(this.scope===0){this._error("Unexpected return.")}else{return this.execute(node.children[0])}break;case"op_function":this.pstack.push([]);this.pscope++;this.execute(node.children[0]);if(this.board.options.jc.compile){this.sstack.push({});this.scope++;this.isLHS=false;for(i=0;i<this.pstack[this.pscope].length;i++){this.sstack[this.scope][this.pstack[this.pscope][i]]=this.pstack[this.pscope][i]}this.replaceNames(node.children[1]);ret=(function($jc$){var p=$jc$.pstack[$jc$.pscope].join(", "),str="var f = function ("+p+") {\n$jc$.sstack.push([]);\n$jc$.scope++;\nvar r = (function () {\n"+$jc$.compile(node.children[1],true)+"})();\n$jc$.sstack.pop();\n$jc$.scope--;\nreturn r;\n}; f;";try{return eval(str)}catch(e){this._error("catch errors. super simple stuff.",str,e.toString());return function(){}}})(this);this.sstack.pop();this.scope--}else{ret=(function(_pstack,that){return function(){var r;that.sstack.push({});that.scope++;for(r=0;r<_pstack.length;r++){that.sstack[that.scope][_pstack[r]]=arguments[r]}r=that.execute(node.children[1]);that.sstack.pop();that.scope--;return r}})(this.pstack[this.pscope],this)}ret.node=node;ret.toJS=ret.toString;ret.toString=(function(_that){return function(){return _that.compile(_that.replaceIDs(JXG.deepCopy(node)))}})(this);ret.deps={};this.collectDependencies(node.children[1],ret.deps);this.pstack.pop();this.pscope--;break;case"op_execfun":var fun,attr,sc;this.pstack.push([]);this.dpstack.push([]);this.pscope++;this.execute(node.children[1]);if(typeof node.children[2]!=="undefined"){if(node.children[3]){this.pstack.push([]);this.dpstack.push([]);this.pscope++;this.execute(node.children[2]);attr={};for(i=0;i<this.pstack[this.pscope].length;i++){attr=JXG.deepCopy(attr,this.execute(this.pstack[this.pscope][i]),true)}this.pscope--;this.pstack.pop();this.dpstack.pop()}else{attr=this.execute(node.children[2])}}fun=this.execute(node.children[0]);if(fun&&fun.sc){sc=fun.sc}else{sc=this}for(i=0;i<this.pstack[this.pscope].length;i++){parents[i]=this.execute(this.pstack[this.pscope][i])}if(typeof fun==="function"&&!fun.creator){ret=fun.apply(sc,parents)}else{if(typeof fun==="function"&&!!fun.creator){e=this.line;try{ret=fun(parents,attr);ret.jcLineStart=e;ret.jcLineEnd=node.line;for(i=e;i<=node.line;i++){this.lineToElement[i]=ret}ret.debugParents=this.dpstack[this.pscope]}catch(ex){this._error(ex.toString(),e)}}else{this._error("Function '"+fun+"' is undefined.")}}this.pstack.pop();this.dpstack.pop();this.pscope--;break;case"op_property":e=this.execute(node.children[0]);v=node.children[1];ret=this.resolveProperty(e,v,false);if(JXG.exists(ret)){ret.sc=e}break;case"op_lhs":v=node.children[0];if(v.children&&v.type&&v.value){v=this.execute(v)}if(node.children.length===1){e=this.sstack[this.scope]}else{e=this.execute(node.children[1]);if(e.type&&e.elementClass&&v.toLowerCase&&v.toLowerCase()!=="x"&&v.toLowerCase()!=="y"){v=v.toLowerCase()}}ret=[e,v];break;case"op_use":var found=false;for(var b in JXG.JSXGraph.boards){if(JXG.JSXGraph.boards[b].container===node.children[0].toString()){this.use(JXG.JSXGraph.boards[b]);found=true}}if(!found){this._error("Board '"+node.children[0].toString()+"' not found!")}break;case"op_delete":v=this.getvar(node.children[0]);if(typeof v==="object"&&JXG.exists(v.type)&&JXG.exists(v.elementClass)){this.board.removeObject(v)}break;case"op_equ":ret=this.execute(node.children[0])==this.execute(node.children[1]);break;case"op_neq":ret=this.execute(node.children[0])!=this.execute(node.children[1]);break;case"op_approx":ret=Math.abs(this.execute(node.children[0])-this.execute(node.children[1]))<JXG.Math.eps;break;case"op_grt":ret=this.execute(node.children[0])>this.execute(node.children[1]);break;case"op_lot":ret=this.execute(node.children[0])<this.execute(node.children[1]);break;case"op_gre":ret=this.execute(node.children[0])>=this.execute(node.children[1]);break;case"op_loe":ret=this.execute(node.children[0])<=this.execute(node.children[1]);break;case"op_or":ret=this.execute(node.children[0])||this.execute(node.children[1]);break;case"op_and":ret=this.execute(node.children[0])&&this.execute(node.children[1]);break;case"op_not":ret=!this.execute(node.children[0]);break;case"op_add":ret=JXG.Math.Statistics.add(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_sub":ret=JXG.Math.Statistics.subtract(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_div":ret=JXG.Math.Statistics.div(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_mod":ret=JXG.Math.Statistics.mod(this.execute(node.children[0]),this.execute(node.children[1]),true);break;case"op_mul":ret=this.mul(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_exp":ret=Math.pow(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_neg":ret=this.execute(node.children[0])*-1;break}break;case"node_var":ret=this.getvar(node.value);break;case"node_const":ret=Number(node.value);break;case"node_const_bool":ret=node.value.toLowerCase()!=="false";break;case"node_str":ret=node.value;break}return ret},compile:function(h,k){var f,g,j,d;f="";if(!JXG.exists(k)){k=false}if(!h){return f}switch(h.type){case"node_op":switch(h.value){case"op_none":if(h.children[0]){f=this.compile(h.children[0],k)}if(h.children[1]){f+=this.compile(h.children[1],k)}break;case"op_assign":j=this.compile(h.children[0],k);if(k){if(JXG.isArray(j)){f="$jc$.setProp("+j[0]+", '"+j[1]+"', "+this.compile(h.children[1],k)+");\n"}else{if(this.isLocalVariable(j)!==this.scope){this.sstack[this.scope][j]=true}f="$jc$.sstack["+this.scope+"]['"+j+"'] = "+this.compile(h.children[1],k)+";\n"}}else{f=j+" = "+this.compile(h.children[1],k)+";\n"}break;case"op_noassign":f=this.compile(h.children[0],k)+";\n";break;case"op_if":f=" if ("+this.compile(h.children[0],k)+") "+this.compile(h.children[1],k);break;case"op_if_else":f=" if ("+this.compile(h.children[0],k)+")"+this.compile(h.children[1],k);f+=" else "+this.compile(h.children[2],k);break;case"op_while":f=" while ("+this.compile(h.children[0],k)+") {\n"+this.compile(h.children[1],k)+"}\n";break;case"op_do":f=" do {\n"+this.compile(h.children[0],k)+"} while ("+this.compile(h.children[1],k)+");\n";break;case"op_for":f=" for ("+this.compile(h.children[0],k)+"; "+this.compile(h.children[1],k)+"; "+this.compile(h.children[2],k)+") {\n"+this.compile(h.children[3],k)+"\n}\n";break;case"op_param":if(h.children[1]){f=this.compile(h.children[1],k)+", "}f+=this.compile(h.children[0],k);break;case"op_paramdef":if(h.children[1]){f=this.compile(h.children[1],k)+", "}f+=h.children[0];break;case"op_proplst":if(h.children[0]){f=this.compile(h.children[0],k)+", "}f+=this.compile(h.children[1],k);break;case"op_prop":f=h.children[0]+": "+this.compile(h.children[1],k);break;case"op_proplst_val":f=this.compile(h.children[0],k);break;case"op_array":f="["+this.compile(h.children[0],k)+"]";break;case"op_extvalue":f=this.compile(h.children[0],k)+"["+this.compile(h.children[1],k)+"]";break;case"op_return":f=" return "+this.compile(h.children[0],k)+";\n";break;case"op_function":f=" function ("+this.compile(h.children[0],k)+") {\n"+this.compile(h.children[1],k)+"}";break;case"op_execfun":if(h.children[2]){j=(k?"{":"<<")+this.compile(h.children[2],k)+(k?"}":">>")}h.children[0].withProps=!!h.children[2];f=this.compile(h.children[0],k)+"("+this.compile(h.children[1],k)+(h.children[2]?", "+j:"")+")";if(k&&h.children[0].value==="$"){f="$jc$.board.objects["+this.compile(h.children[1],k)+"]"}break;case"op_property":if(k&&h.children[1]!=="X"&&h.children[1]!=="Y"){f="$jc$.resolveProperty("+this.compile(h.children[0],k)+", '"+h.children[1]+"', true)"}else{f=this.compile(h.children[0],k)+"."+h.children[1]}break;case"op_lhs":if(h.children.length===1){f=h.children[0]}else{if(h.children[2]==="dot"){if(k){f=[this.compile(h.children[1],k),h.children[0]]}else{f=this.compile(h.children[1],k)+"."+h.children[0]}}else{if(h.children[2]==="bracket"){if(k){f=[this.compile(h.children[1],k),this.compile(h.children[0],k)]}else{f=this.compile(h.children[1],k)+"["+this.compile(h.children[0],k)+"]"}}}}break;case"op_use":if(k){f="$jc$.use(JXG.JSXGraph.boards['"+h.children[0]+"'])"}else{f="use "+h.children[0]+";"}break;case"op_delete":f="delete "+h.children[0];break;case"op_equ":f="("+this.compile(h.children[0],k)+" == "+this.compile(h.children[1],k)+")";break;case"op_neq":f="("+this.compile(h.children[0],k)+" != "+this.compile(h.children[1],k)+")";break;case"op_approx":f="("+this.compile(h.children[0],k)+" ~= "+this.compile(h.children[1],k)+")";break;case"op_grt":f="("+this.compile(h.children[0],k)+" > "+this.compile(h.children[1],k)+")";break;case"op_lot":f="("+this.compile(h.children[0],k)+" < "+this.compile(h.children[1],k)+")";break;case"op_gre":f="("+this.compile(h.children[0],k)+" >= "+this.compile(h.children[1],k)+")";break;case"op_loe":f="("+this.compile(h.children[0],k)+" <= "+this.compile(h.children[1],k)+")";break;case"op_or":f="("+this.compile(h.children[0],k)+" || "+this.compile(h.children[1],k)+")";break;case"op_and":f="("+this.compile(h.children[0],k)+" && "+this.compile(h.children[1],k)+")";break;case"op_not":f="!("+this.compile(h.children[0],k)+")";break;case"op_add":if(k){f="JXG.Math.Statistics.add("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+")"}else{f="("+this.compile(h.children[0],k)+" + "+this.compile(h.children[1],k)+")"}break;case"op_sub":if(k){f="JXG.Math.Statistics.subtract("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+")"}else{f="("+this.compile(h.children[0],k)+" - "+this.compile(h.children[1],k)+")"}break;case"op_div":if(k){f="JXG.Math.Statistics.div("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+")"}else{f="("+this.compile(h.children[0],k)+" / "+this.compile(h.children[1],k)+")"}break;case"op_mod":if(k){f="JXG.Math.mod("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+", true)"}else{f="("+this.compile(h.children[0],k)+" % "+this.compile(h.children[1],k)+")"}break;case"op_mul":if(k){f="$jc$.mul("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+")"}else{f="("+this.compile(h.children[0],k)+" * "+this.compile(h.children[1],k)+")"}break;case"op_exp":if(k){f="Math.pow("+this.compile(h.children[0],k)+", "+this.compile(h.children[1],k)+")"}else{f="("+this.compile(h.children[0],k)+"^"+this.compile(h.children[1],k)+")"}break;case"op_neg":f="(-"+this.compile(h.children[0],k)+")";break}break;case"node_var":if(k){f=this.getvarJS(h.value,false,h.withProps)}else{f=h.value}break;case"node_const":f=h.value;break;case"node_const_bool":f=h.value;break;case"node_str":f="'"+h.value.replace(/'/g,"\\'")+"'";break}if(h.needsBrackets){f="{\n"+f+"}\n"}return f},X:function(d){return d.X()},Y:function(d){return d.Y()},V:function(d){return d.Value()},L:function(d){return d.L()},dist:function(e,d){if(!JXG.exists(e)||!JXG.exists(e.Dist)){this._error("Error: Can't calculate distance.")}return e.Dist(d)},mul:function(e,d){if(JXG.isArray(e)*JXG.isArray(d)){return JXG.Math.innerProduct(e,d,Math.min(e.length,d.length))}else{return JXG.Math.Statistics.multiply(e,d)}},use:function(d){this.board=d;this.builtIn["$board"]=d;this.builtIn["$board"].src="$jc$.board"},findSymbol:function(d,g){var f,e;g=JXG.def(g,-1);if(g===-1){g=this.scope}for(f=g;f>=0;f--){for(e in this.sstack[f]){if(this.sstack[f][e]===d){return[e,f]}}}return[]},defineBuiltIn:function(){var d=this,e={PI:Math.PI,EULER:Math.E,X:d.X,Y:d.Y,V:d.V,L:d.L,dist:d.dist,rad:JXG.Math.Geometry.rad,deg:JXG.Math.Geometry.trueAngle,factorial:JXG.Math.factorial,trunc:JXG.trunc,"$":d.getElementById,"$board":d.board};e.rad.sc=JXG.Math.Geometry;e.deg.sc=JXG.Math.Geometry;e.factorial.sc=JXG.Math;e.PI.src="Math.PI";e.EULER.src="Math.E";e.X.src="$jc$.X";e.Y.src="$jc$.Y";e.V.src="$jc$.V";e.L.src="$jc$.L";e.dist.src="$jc$.dist";e.rad.src="JXG.Math.Geometry.rad";e.deg.src="JXG.Math.Geometry.trueAngle";e.factorial.src="JXG.Math.factorial";e.trunc.src="JXG.trunc";e["$"].src="(function (n) { return JXG.getRef($jc$.board, n); })";if(e["$board"]){e["$board"].src="$jc$.board"}return e},_debug:function(d){if(typeof console!=="undefined"){console.log(d)}else{if(document&&document.getElementById("debug")!==null){document.getElementById("debug").innerHTML+=d+"<br />"}}},_error:function(f){var d=new Error("Error("+this.line+"): "+f);d.line=this.line;throw d},_warn:function(d){if(typeof console!=="undefined"){console.log("Warning("+this.line+"): "+d)}else{if(document&&document.getElementById(this.warnLog)!==null){document.getElementById(this.warnLog).innerHTML+="Warning("+this.line+"): "+d+"<br />"}}},_log:function(d){if(typeof window==="undefined"&&typeof self!=="undefined"&&self.postMessage){self.postMessage({type:"log",msg:"Log: "+d.toString()})}else{console.log("Log: ",arguments)}}});JXG.extend(JXG.JessieCode.prototype,{_lex:function(d){var h,e=-1,g=0,j=0,i,f;while(1){h=0;e=-1;g=0;j=0;i=d.offset+1+(g-j);do{i--;h=0;e=-2;j=i;if(d.src.length<=j){return 67}do{f=d.src.charCodeAt(i);switch(h){case 0:if((f>=9&&f<=10)||f==13||f==32){h=1}else{if(f==33){h=2}else{if(f==35){h=3}else{if(f==36||(f>=65&&f<=67)||(f>=71&&f<=72)||(f>=74&&f<=81)||f==83||f==86||(f>=88&&f<=90)||f==95||(f>=97&&f<=99)||(f>=103&&f<=104)||(f>=106&&f<=113)||f==115||f==118||(f>=120&&f<=122)){h=4}else{if(f==37){h=5}else{if(f==40){h=6}else{if(f==41){h=7}else{if(f==42){h=8}else{if(f==43){h=9}else{if(f==44){h=10}else{if(f==45){h=11}else{if(f==46){h=12}else{if(f==47){h=13}else{if((f>=48&&f<=57)){h=14}else{if(f==58){h=15}else{if(f==59){h=16}else{if(f==60){h=17}else{if(f==61){h=18}else{if(f==62){h=19}else{if(f==91){h=20}else{if(f==93){h=21}else{if(f==94){h=22}else{if(f==123){h=23}else{if(f==124){h=24}else{if(f==125){h=25}else{if(f==38){h=48}else{if(f==68||f==100){h=49}else{if(f==39){h=51}else{if(f==73||f==105){h=52}else{if(f==126){h=53}else{if(f==70||f==102){h=64}else{if(f==85||f==117){h=65}else{if(f==69||f==101){h=73}else{if(f==84||f==116){h=74}else{if(f==87||f==119){h=80}else{if(f==82||f==114){h=84}else{h=-1}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}break;case 1:h=-1;e=2;g=i;break;case 2:if(f==61){h=26}else{h=-1}e=31;g=i;break;case 3:h=-1;e=41;g=i;break;case 4:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=45;g=i;break;case 5:h=-1;e=35;g=i;break;case 6:h=-1;e=38;g=i;break;case 7:h=-1;e=39;g=i;break;case 8:h=-1;e=36;g=i;break;case 9:h=-1;e=32;g=i;break;case 10:h=-1;e=40;g=i;break;case 11:h=-1;e=33;g=i;break;case 12:if((f>=48&&f<=57)){h=29}else{h=-1}e=44;g=i;break;case 13:h=-1;e=34;g=i;break;case 14:if((f>=48&&f<=57)){h=14}else{if(f==46){h=29}else{h=-1}}e=47;g=i;break;case 15:h=-1;e=42;g=i;break;case 16:h=-1;e=20;g=i;break;case 17:if(f==60){h=30}else{if(f==61){h=31}else{h=-1}}e=28;g=i;break;case 18:if(f==61){h=32}else{h=-1}e=21;g=i;break;case 19:if(f==61){h=33}else{if(f==62){h=34}else{h=-1}}e=27;g=i;break;case 20:h=-1;e=16;g=i;break;case 21:h=-1;e=17;g=i;break;case 22:h=-1;e=37;g=i;break;case 23:h=-1;e=18;g=i;break;case 24:if(f==124){h=37}else{h=-1}e=43;g=i;break;case 25:h=-1;e=19;g=i;break;case 26:h=-1;e=23;g=i;break;case 27:h=-1;e=30;g=i;break;case 28:h=-1;e=46;g=i;break;case 29:if((f>=48&&f<=57)){h=29}else{h=-1}e=48;g=i;break;case 30:h=-1;e=14;g=i;break;case 31:h=-1;e=25;g=i;break;case 32:h=-1;e=22;g=i;break;case 33:h=-1;e=26;g=i;break;case 34:h=-1;e=15;g=i;break;case 35:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=6;g=i;break;case 36:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=3;g=i;break;case 37:h=-1;e=29;g=i;break;case 38:h=-1;e=24;g=i;break;case 39:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=7;g=i;break;case 40:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=9;g=i;break;case 41:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=4;g=i;break;case 42:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=12;g=i;break;case 43:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=13;g=i;break;case 44:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=5;g=i;break;case 45:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=11;g=i;break;case 46:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=10;g=i;break;case 47:if((f>=48&&f<=57)||(f>=65&&f<=90)||f==95||(f>=97&&f<=122)){h=4}else{h=-1}e=8;g=i;break;case 48:if(f==38){h=27}else{h=-1}break;case 49:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=78)||(f>=80&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=110)||(f>=112&&f<=122)){h=4}else{if(f==79||f==111){h=35}else{if(f==69||f==101){h=81}else{h=-1}}}e=45;g=i;break;case 50:if(f==39){h=28}else{if((f>=0&&f<=38)||(f>=40&&f<=91)||(f>=93&&f<=254)){h=51}else{if(f==92){h=55}else{h=-1}}}e=46;g=i;break;case 51:if(f==39){h=28}else{if((f>=0&&f<=38)||(f>=40&&f<=91)||(f>=93&&f<=254)){h=51}else{if(f==92){h=55}else{h=-1}}}break;case 52:if((f>=48&&f<=57)||(f>=65&&f<=69)||(f>=71&&f<=90)||f==95||(f>=97&&f<=101)||(f>=103&&f<=122)){h=4}else{if(f==70||f==102){h=36}else{h=-1}}e=45;g=i;break;case 53:if(f==61){h=38}else{h=-1}break;case 54:if((f>=48&&f<=57)||(f>=65&&f<=81)||(f>=83&&f<=90)||f==95||(f>=97&&f<=113)||(f>=115&&f<=122)){h=4}else{if(f==82||f==114){h=39}else{h=-1}}e=45;g=i;break;case 55:if(f==39){h=50}else{if((f>=0&&f<=38)||(f>=40&&f<=91)||(f>=93&&f<=254)){h=51}else{if(f==92){h=55}else{h=-1}}}break;case 56:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=40}else{h=-1}}e=45;g=i;break;case 57:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=41}else{h=-1}}e=45;g=i;break;case 58:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=42}else{h=-1}}e=45;g=i;break;case 59:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=43}else{h=-1}}e=45;g=i;break;case 60:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=44}else{h=-1}}e=45;g=i;break;case 61:if((f>=48&&f<=57)||(f>=65&&f<=68)||(f>=70&&f<=90)||f==95||(f>=97&&f<=100)||(f>=102&&f<=122)){h=4}else{if(f==69||f==101){h=45}else{h=-1}}e=45;g=i;break;case 62:if((f>=48&&f<=57)||(f>=65&&f<=77)||(f>=79&&f<=90)||f==95||(f>=97&&f<=109)||(f>=111&&f<=122)){h=4}else{if(f==78||f==110){h=46}else{h=-1}}e=45;g=i;break;case 63:if((f>=48&&f<=57)||(f>=65&&f<=77)||(f>=79&&f<=90)||f==95||(f>=97&&f<=109)||(f>=111&&f<=122)){h=4}else{if(f==78||f==110){h=47}else{h=-1}}e=45;g=i;break;case 64:if((f>=48&&f<=57)||(f>=66&&f<=78)||(f>=80&&f<=84)||(f>=86&&f<=90)||f==95||(f>=98&&f<=110)||(f>=112&&f<=116)||(f>=118&&f<=122)){h=4}else{if(f==79||f==111){h=54}else{if(f==65||f==97){h=75}else{if(f==85||f==117){h=86}else{h=-1}}}}e=45;g=i;break;case 65:if((f>=48&&f<=57)||(f>=65&&f<=82)||(f>=84&&f<=90)||f==95||(f>=97&&f<=114)||(f>=116&&f<=122)){h=4}else{if(f==83||f==115){h=56}else{h=-1}}e=45;g=i;break;case 66:if((f>=48&&f<=57)||(f>=65&&f<=82)||(f>=84&&f<=90)||f==95||(f>=97&&f<=114)||(f>=116&&f<=122)){h=4}else{if(f==83||f==115){h=57}else{h=-1}}e=45;g=i;break;case 67:if((f>=48&&f<=57)||(f>=65&&f<=84)||(f>=86&&f<=90)||f==95||(f>=97&&f<=116)||(f>=118&&f<=122)){h=4}else{if(f==85||f==117){h=58}else{h=-1}}e=45;g=i;break;case 68:if((f>=48&&f<=57)||(f>=65&&f<=82)||(f>=84&&f<=90)||f==95||(f>=97&&f<=114)||(f>=116&&f<=122)){h=4}else{if(f==83||f==115){h=59}else{h=-1}}e=45;g=i;break;case 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i=h.rendNode,e,j="",g,d=f.length;if(d>0){e=this.joinTransforms(h,f);g=[e[1][1],e[2][1],e[1][2],e[2][2],e[1][0],e[2][0]].join(",");j+=" matrix("+g+") ";i.setAttributeNS(null,"transform",j)}},updateImageURL:function(e){var d=JXG.evaluate(e.url);e.rendNode.setAttributeNS(this.xlinkNamespace,"xlink:href",d)},appendChildPrim:function(d,e){if(!JXG.exists(e)){e=0}else{if(e>=JXG.Options.layer.numlayers){e=JXG.Options.layer.numlayers-1}}this.layer[e].appendChild(d)},appendNodesToElement:function(d){d.rendNode=this.getElementById(d.id)},createPrim:function(d,f){var e=this.container.ownerDocument.createElementNS(this.svgNamespace,d);e.setAttributeNS(null,"id",this.container.id+"_"+f);e.style.position="absolute";if(d==="path"){e.setAttributeNS(null,"stroke-linecap","butt");e.setAttributeNS(null,"stroke-linejoin","round")}return e},remove:function(d){if(JXG.exists(d)&&JXG.exists(d.parentNode)){d.parentNode.removeChild(d)}},makeArrows:function(e){var d;if(e.visPropOld.firstarrow===e.visProp.firstarrow&&e.visPropOld.lastarrow===e.visProp.lastarrow){return}if(e.visProp.firstarrow){d=e.rendNodeTriangleStart;if(!JXG.exists(d)){d=this._createArrowHead(e,"End");this.defs.appendChild(d);e.rendNodeTriangleStart=d;e.rendNode.setAttributeNS(null,"marker-start","url(#"+this.container.id+"_"+e.id+"TriangleEnd)")}else{this.defs.appendChild(d)}}else{d=e.rendNodeTriangleStart;if(JXG.exists(d)){this.remove(d)}}if(e.visProp.lastarrow){d=e.rendNodeTriangleEnd;if(!JXG.exists(d)){d=this._createArrowHead(e,"Start");this.defs.appendChild(d);e.rendNodeTriangleEnd=d;e.rendNode.setAttributeNS(null,"marker-end","url(#"+this.container.id+"_"+e.id+"TriangleStart)")}else{this.defs.appendChild(d)}}else{d=e.rendNodeTriangleEnd;if(JXG.exists(d)){this.remove(d)}}e.visPropOld.firstarrow=e.visProp.firstarrow;e.visPropOld.lastarrow=e.visProp.lastarrow},updateEllipsePrim:function(e,d,h,g,f){e.setAttributeNS(null,"cx",d);e.setAttributeNS(null,"cy",h);e.setAttributeNS(null,"rx",Math.abs(g));e.setAttributeNS(null,"ry",Math.abs(f))},updateLinePrim:function(h,e,d,g,f){if(!isNaN(e+d+g+f)){h.setAttributeNS(null,"x1",e);h.setAttributeNS(null,"y1",d);h.setAttributeNS(null,"x2",g);h.setAttributeNS(null,"y2",f)}},updatePathPrim:function(d,e){if(e==""){e="M 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",g=" L ",m=" C ",e=f,n=5000,j="",h,l,o=(d.visProp.curvetype!=="plot"),k;if(d.numberPoints<=0){return""}k=Math.min(d.points.length,d.numberPoints);if(d.bezierDegree==1){if(o&&d.board.options.curve.RDPsmoothing){d.points=JXG.Math.Numerics.RamerDouglasPeuker(d.points,0.5)}for(h=0;h<k;h++){l=d.points[h].scrCoords;if(isNaN(l[1])||isNaN(l[2])){e=f}else{if(l[1]>n){l[1]=n}else{if(l[1]<-n){l[1]=-n}}if(l[2]>n){l[2]=n}else{if(l[2]<-n){l[2]=-n}}j+=e+l[1]+" "+l[2];e=g}}}else{if(d.bezierDegree==3){h=0;while(h<k){l=d.points[h].scrCoords;if(isNaN(l[1])||isNaN(l[2])){e=f}else{j+=e+l[1]+" "+l[2];if(e==m){h++;l=d.points[h].scrCoords;j+=" "+l[1]+" "+l[2];h++;l=d.points[h].scrCoords;j+=" "+l[1]+" "+l[2]}e=m}h++}}}return j},updatePathStringBezierPrim:function(e){var k=" M ",l=" C ",h=k,t=5000,o="",n,m,r,g,d,q=e.visProp.strokewidth,s=(e.visProp.curvetype!=="plot"),p;if(e.numberPoints<=0){return""}if(s&&e.board.options.curve.RDPsmoothing){e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,0.5)}p=Math.min(e.points.length,e.numberPoints);for(m=1;m<3;m++){h=k;for(n=0;n<p;n++){r=e.points[n].scrCoords;if(isNaN(r[1])||isNaN(r[2])){h=k}else{if(r[1]>t){r[1]=t}else{if(r[1]<-t){r[1]=-t}}if(r[2]>t){r[2]=t}else{if(r[2]<-t){r[2]=-t}}if(h==k){o+=[h,r[1]+0*q*(2*m*Math.random()-m)," ",r[2]+0*q*(2*m*Math.random()-m)].join("")}else{o+=[h,(g+(r[1]-g)*0.333+q*(2*m*Math.random()-m))," ",(d+(r[2]-d)*0.333+q*(2*m*Math.random()-m))," ",(g+2*(r[1]-g)*0.333+q*(2*m*Math.random()-m))," ",(d+2*(r[2]-d)*0.333+q*(2*m*Math.random()-m))," ",r[1]," ",r[2]].join("")}h=l;g=r[1];d=r[2]}}}return o},updatePolygonPrim:function(h,g){var j="",e,f,d=g.vertices.length;h.setAttributeNS(null,"stroke","none");for(f=0;f<d-1;f++){if(g.vertices[f].isReal){e=g.vertices[f].coords.scrCoords;j=j+e[1]+","+e[2]}else{h.setAttributeNS(null,"points","");return}if(f<d-2){j+=" "}}if(j.indexOf("NaN")==-1){h.setAttributeNS(null,"points",j)}},updateRectPrim:function(g,d,i,e,f){g.setAttributeNS(null,"x",d);g.setAttributeNS(null,"y",i);g.setAttributeNS(null,"width",e);g.setAttributeNS(null,"height",f)},setPropertyPrim:function(e,d,f){if(d==="stroked"){return}e.setAttributeNS(null,d,f)},show:function(d){var e;if(d&&d.rendNode){e=d.rendNode;e.setAttributeNS(null,"display","inline");e.style.visibility="inherit"}},hide:function(d){var e;if(d&&d.rendNode){e=d.rendNode;e.setAttributeNS(null,"display","none");e.style.visibility="hidden"}},setBuffering:function(e,d){e.rendNode.setAttribute("buffered-rendering",d)},setDashStyle:function(d){var f=d.visProp.dash,e=d.rendNode;if(d.visProp.dash>0){e.setAttributeNS(null,"stroke-dasharray",this.dashArray[f-1])}else{if(e.hasAttributeNS(null,"stroke-dasharray")){e.removeAttributeNS(null,"stroke-dasharray")}}},setGradient:function(f){var n=f.rendNode,g,i,h,m,l,e,d,k,j;i=JXG.evaluate(f.visProp.fillopacity);i=(i>0)?i:0;g=JXG.evaluate(f.visProp.fillcolor);if(f.visProp.gradient==="linear"){h=this.createPrim("linearGradient",f.id+"_gradient");e="0%";d="100%";k="0%";j="0%";h.setAttributeNS(null,"x1",e);h.setAttributeNS(null,"x2",d);h.setAttributeNS(null,"y1",k);h.setAttributeNS(null,"y2",j);m=this.createPrim("stop",f.id+"_gradient1");m.setAttributeNS(null,"offset","0%");m.setAttributeNS(null,"style","stop-color:"+g+";stop-opacity:"+i);l=this.createPrim("stop",f.id+"_gradient2");l.setAttributeNS(null,"offset","100%");l.setAttributeNS(null,"style","stop-color:"+f.visProp.gradientsecondcolor+";stop-opacity:"+f.visProp.gradientsecondopacity);h.appendChild(m);h.appendChild(l);this.defs.appendChild(h);n.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+f.id+"_gradient)");f.gradNode1=m;f.gradNode2=l}else{if(f.visProp.gradient==="radial"){h=this.createPrim("radialGradient",f.id+"_gradient");h.setAttributeNS(null,"cx","50%");h.setAttributeNS(null,"cy","50%");h.setAttributeNS(null,"r","50%");h.setAttributeNS(null,"fx",f.visProp.gradientpositionx*100+"%");h.setAttributeNS(null,"fy",f.visProp.gradientpositiony*100+"%");m=this.createPrim("stop",f.id+"_gradient1");m.setAttributeNS(null,"offset","0%");m.setAttributeNS(null,"style","stop-color:"+f.visProp.gradientsecondcolor+";stop-opacity:"+f.visProp.gradientsecondopacity);l=this.createPrim("stop",f.id+"_gradient2");l.setAttributeNS(null,"offset","100%");l.setAttributeNS(null,"style","stop-color:"+g+";stop-opacity:"+i);h.appendChild(m);h.appendChild(l);this.defs.appendChild(h);n.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+f.id+"_gradient)");f.gradNode1=m;f.gradNode2=l}else{n.removeAttributeNS(null,"style")}}},updateGradient:function(g){var e=g.gradNode1,d=g.gradNode2,f,h;if(!JXG.exists(e)||!JXG.exists(d)){return}h=JXG.evaluate(g.visProp.fillopacity);h=(h>0)?h:0;f=JXG.evaluate(g.visProp.fillcolor);if(g.visProp.gradient==="linear"){e.setAttributeNS(null,"style","stop-color:"+f+";stop-opacity:"+h);d.setAttributeNS(null,"style","stop-color:"+g.visProp.gradientsecondcolor+";stop-opacity:"+g.visProp.gradientsecondopacity)}else{if(g.visProp.gradient==="radial"){e.setAttributeNS(null,"style","stop-color:"+g.visProp.gradientsecondcolor+";stop-opacity:"+g.visProp.gradientsecondopacity);d.setAttributeNS(null,"style","stop-color:"+f+";stop-opacity:"+h)}}},setObjectFillColor:function(e,h,j){var f,g=JXG.evaluate(h),k,l,d=JXG.evaluate(j),i;d=(d>0)?d:0;if(e.visPropOld.fillcolor===g&&e.visPropOld.fillopacity===d){return}if(JXG.exists(g)&&g!==false){if(g.length!=9){k=g;i=d}else{l=JXG.rgba2rgbo(g);k=l[0];i=d*l[1]}f=e.rendNode;f.setAttributeNS(null,"fill",k);if(e.type===JXG.OBJECT_TYPE_IMAGE){f.setAttributeNS(null,"opacity",i)}else{f.setAttributeNS(null,"fill-opacity",i)}if(JXG.exists(e.visProp.gradient)){this.updateGradient(e)}}e.visPropOld.fillcolor=g;e.visPropOld.fillopacity=d},setObjectStrokeColor:function(e,h,i){var g=JXG.evaluate(h),k,l,d=JXG.evaluate(i),j,f;d=(d>0)?d:0;if(e.visPropOld.strokecolor===g&&e.visPropOld.strokeopacity===d){return}if(JXG.exists(g)&&g!==false){if(g.length!=9){k=g;j=d}else{l=JXG.rgba2rgbo(g);k=l[0];j=d*l[1]}f=e.rendNode;if(e.type===JXG.OBJECT_TYPE_TEXT){if(e.visProp.display==="html"){f.style.color=k;f.style.opacity=j}else{f.setAttributeNS(null,"style","fill:"+k);f.setAttributeNS(null,"style","fill-opacity:"+j)}}else{f.setAttributeNS(null,"stroke",k);f.setAttributeNS(null,"stroke-opacity",j)}if(e.type===JXG.OBJECT_TYPE_ARROW){this._setArrowAtts(e.rendNodeTriangle,k,j,e.visProp.strokewidth)}else{if(e.elementClass===JXG.OBJECT_CLASS_CURVE||e.elementClass===JXG.OBJECT_CLASS_LINE){if(e.visProp.firstarrow){this._setArrowAtts(e.rendNodeTriangleStart,k,j,e.visProp.strokewidth)}if(e.visProp.lastarrow){this._setArrowAtts(e.rendNodeTriangleEnd,k,j,e.visProp.strokewidth)}}}}e.visPropOld.strokecolor=g;e.visPropOld.strokeopacity=d},setObjectStrokeWidth:function(f,e){var d=JXG.evaluate(e),g;if(f.visPropOld.strokewidth===d){return}g=f.rendNode;this.setPropertyPrim(g,"stroked","true");if(JXG.exists(d)){this.setPropertyPrim(g,"stroke-width",d+"px");if(f.type===JXG.OBJECT_TYPE_ARROW){this._setArrowAtts(f.rendNodeTriangle,f.visProp.strokecolor,f.visProp.strokeopacity,d)}else{if(f.elementClass===JXG.OBJECT_CLASS_CURVE||f.elementClass===JXG.OBJECT_CLASS_LINE){if(f.visProp.firstarrow){this._setArrowAtts(f.rendNodeTriangleStart,f.visProp.strokecolor,f.visProp.strokeopacity,d)}if(f.visProp.lastarrow){this._setArrowAtts(f.rendNodeTriangleEnd,f.visProp.strokecolor,f.visProp.strokeopacity,d)}}}}f.visPropOld.strokewidth=d},setShadow:function(d){if(d.visPropOld.shadow===d.visProp.shadow){return}if(JXG.exists(d.rendNode)){if(d.visProp.shadow){d.rendNode.setAttributeNS(null,"filter","url(#"+this.container.id+"_f1)")}else{d.rendNode.removeAttributeNS(null,"filter")}}d.visPropOld.shadow=d.visProp.shadow},suspendRedraw:function(){},unsuspendRedraw:function(){},resize:function(d,e){this.svgRoot.style.width=parseFloat(d)+"px";this.svgRoot.style.height=parseFloat(e)+"px"}});JXG.VMLRenderer=function(d){this.type="vml";this.container=d;this.container.style.overflow="hidden";this.container.onselectstart=function(){return false};this.resolution=10;if(!JXG.exists(JXG.vmlStylesheet)){d.ownerDocument.namespaces.add("jxgvml","urn:schemas-microsoft-com:vml");JXG.vmlStylesheet=this.container.ownerDocument.createStyleSheet();JXG.vmlStylesheet.addRule(".jxgvml","behavior:url(#default#VML)")}try{!d.ownerDocument.namespaces.jxgvml&&d.ownerDocument.namespaces.add("jxgvml","urn:schemas-microsoft-com:vml");this.createNode=function(e){return d.ownerDocument.createElement("<jxgvml:"+e+' class="jxgvml">')}}catch(f){this.createNode=function(e){return d.ownerDocument.createElement("<"+e+' xmlns="urn:schemas-microsoft.com:vml" class="jxgvml">')}}this.dashArray=["Solid","1 1","ShortDash","Dash","LongDash","ShortDashDot","LongDashDot"]};JXG.VMLRenderer.prototype=new JXG.AbstractRenderer();JXG.extend(JXG.VMLRenderer.prototype,{_setAttr:function(g,f,i,d){try{if(document.documentMode===8){g[f]=i}else{g.setAttribute(f,i,d)}}catch(h){JXG.debug("_setAttr: "+f+" "+i+"<br>\n")}},updateTicks:function(h,j,e,k,g){var f=[],l,m,n,o,d=this.resolution;m=h.ticks.length;for(l=0;l<m;l++){n=h.ticks[l];x=n[0];y=n[1];if(typeof x[0]!="undefined"&&typeof x[1]!="undefined"){f.push(" m "+Math.round(d*x[0])+", "+Math.round(d*y[0])+" l "+Math.round(d*x[1])+", "+Math.round(d*y[1])+" ")}}for(l=0;l<m;l++){n=h.ticks[l].scrCoords;if(h.ticks[l].major&&(h.board.needsFullUpdate||h.needsRegularUpdate)&&h.labels[l]&&h.labels[l].visProp.visible){this.updateText(h.labels[l])}}if(!JXG.exists(h)){o=this.createPrim("path",h.id);this.appendChildPrim(o,h.visProp.layer);this.appendNodesToElement(h,"path")}this._setAttr(h.rendNode,"stroked","true");this._setAttr(h.rendNode,"strokecolor",h.visProp.strokecolor,1);this._setAttr(h.rendNode,"strokeweight",h.visProp.strokewidth);this._setAttr(h.rendNodeStroke,"opacity",(h.visProp.strokeopacity*100)+"%");this.updatePathPrim(h.rendNode,f,h.board)},displayCopyright:function(f,g){var e,d;e=this.createNode("textbox");e.style.position="absolute";this._setAttr(e,"id",this.container.id+"_licenseText");e.style.left=20;e.style.top=2;e.style.fontSize=g;e.style.color="#356AA0";e.style.fontFamily="Arial,Helvetica,sans-serif";this._setAttr(e,"opacity","30%");e.style.filter="alpha(opacity = 30)";d=document.createTextNode(f);e.appendChild(d);this.appendChildPrim(e,0)},drawInternalText:function(d){var e;e=this.createNode("textbox");e.style.position="absolute";d.rendNodeText=document.createTextNode("");e.appendChild(d.rendNodeText);this.appendChildPrim(e,9);return e},updateInternalText:function(d){var e=d.plaintext;if(!isNaN(d.coords.scrCoords[1]+d.coords.scrCoords[2])){if(d.visProp.anchorx==="right"){d.rendNode.style.right=parseInt(d.board.canvasWidth-d.coords.scrCoords[1])+"px"}else{if(d.visProp.anchorx==="middle"){d.rendNode.style.left=parseInt(d.coords.scrCoords[1]-0.5*d.size[0])+"px"}else{d.rendNode.style.left=parseInt(d.coords.scrCoords[1])+"px"}}d.rendNode.style.top=parseInt(d.coords.scrCoords[2]-d.visProp.fontsize+this.vOffsetText)+"px";if(d.visProp.anchory==="top"){d.rendNode.style.top=parseInt(d.coords.scrCoords[2]+this.vOffsetText)+"px"}else{if(d.visProp.anchory==="middle"){d.rendNode.style.top=parseInt(d.coords.scrCoords[2]-0.5*d.size[1]+this.vOffsetText)+"px"}else{d.rendNode.style.top=parseInt(d.coords.scrCoords[2]-d.size[1]+this.vOffsetText)+"px"}}}if(d.htmlStr!==e){d.rendNodeText.data=e;d.htmlStr=e}this.transformImage(d,d.transformations)},drawImage:function(d){var e;e=this.container.ownerDocument.createElement("img");e.style.position="absolute";this._setAttr(e,"id",this.container.id+"_"+d.id);this.container.appendChild(e);this.appendChildPrim(e,d.visProp.layer);e.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand')";d.rendNode=e;this.updateImage(d)},transformImage:function(g,r){var j=g.rendNode,k,f=[],u,o=r.length,e,d,l,h,n,q;if(g.type===JXG.OBJECT_TYPE_TEXT){g.updateSize()}if(o>0){q=g.rendNode.style.filter.toString();if(!q.match(/DXImageTransform/)){j.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand') 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d=JXG.evaluate(e.url);this._setAttr(e.rendNode,"src",d)},appendChildPrim:function(d,e){if(!JXG.exists(e)){e=0}d.style.zIndex=e;this.container.appendChild(d)},appendNodesToElement:function(d,e){if(e==="shape"||e==="path"||e==="polygon"){d.rendNodePath=this.getElementById(d.id+"_path")}d.rendNodeFill=this.getElementById(d.id+"_fill");d.rendNodeStroke=this.getElementById(d.id+"_stroke");d.rendNodeShadow=this.getElementById(d.id+"_shadow");d.rendNode=this.getElementById(d.id)},createPrim:function(e,j){var f,d=this.createNode("fill"),i=this.createNode("stroke"),h=this.createNode("shadow"),g;this._setAttr(d,"id",this.container.id+"_"+j+"_fill");this._setAttr(i,"id",this.container.id+"_"+j+"_stroke");this._setAttr(h,"id",this.container.id+"_"+j+"_shadow");if(e==="circle"||e==="ellipse"){f=this.createNode("oval");f.appendChild(d);f.appendChild(i);f.appendChild(h)}else{if(e==="polygon"||e==="path"||e==="shape"||e==="line"){f=this.createNode("shape");f.appendChild(d);f.appendChild(i);f.appendChild(h);g=this.createNode("path");this._setAttr(g,"id",this.container.id+"_"+j+"_path");f.appendChild(g)}else{f=this.createNode(e);f.appendChild(d);f.appendChild(i);f.appendChild(h)}}f.style.position="absolute";f.style.left="0px";f.style.top="0px";this._setAttr(f,"id",this.container.id+"_"+j);return f},remove:function(d){if(JXG.exists(d)){d.removeNode(true)}},makeArrows:function(e){var d;if(e.visPropOld.firstarrow===e.visProp.firstarrow&&e.visPropOld.lastarrow===e.visProp.lastarrow){return}if(e.visProp.firstarrow){d=e.rendNodeStroke;this._setAttr(d,"startarrow","block");this._setAttr(d,"startarrowlength","long")}else{d=e.rendNodeStroke;if(JXG.exists(d)){this._setAttr(d,"startarrow","none")}}if(e.visProp.lastarrow){d=e.rendNodeStroke;this._setAttr(d,"id",this.container.id+"_"+e.id+"stroke");this._setAttr(d,"endarrow","block");this._setAttr(d,"endarrowlength","long")}else{d=e.rendNodeStroke;if(JXG.exists(d)){this._setAttr(d,"endarrow","none")}}e.visPropOld.firstarrow=e.visProp.firstarrow;e.visPropOld.lastarrow=e.visProp.lastarrow},updateEllipsePrim:function(e,d,h,g,f){e.style.left=parseInt(d-g)+"px";e.style.top=parseInt(h-f)+"px";e.style.width=parseInt(Math.abs(g)*2)+"px";e.style.height=parseInt(Math.abs(f)*2)+"px"},updateLinePrim:function(k,e,d,g,f,i){var h,j=this.resolution;if(!isNaN(e+d+g+f)){h=["m ",parseInt(j*e),", ",parseInt(j*d)," l ",parseInt(j*g),", ",parseInt(j*f)];this.updatePathPrim(k,h,i)}},updatePathPrim:function(f,g,e){var d=e.canvasWidth,h=e.canvasHeight;if(g.length<=0){g=["m 0,0"]}f.style.width=d;f.style.height=h;this._setAttr(f,"coordsize",[parseInt(this.resolution*d),parseInt(this.resolution*h)].join(","));this._setAttr(f,"path",g.join(""))},updatePathStringPoint:function(e,k,h){var j=[],f=Math.round,g=e.coords.scrCoords,i=k*Math.sqrt(3)*0.5,l=k*0.5,d=this.resolution;if(h==="x"){j.push([" m ",f(d*(g[1]-k)),", ",f(d*(g[2]-k))," l ",f(d*(g[1]+k)),", ",f(d*(g[2]+k))," m ",f(d*(g[1]+k)),", ",f(d*(g[2]-k))," l ",f(d*(g[1]-k)),", ",f(d*(g[2]+k))].join(""))}else{if(h==="+"){j.push([" m ",f(d*(g[1]-k)),", ",f(d*(g[2]))," l ",f(d*(g[1]+k)),", ",f(d*(g[2]))," m ",f(d*(g[1])),", ",f(d*(g[2]-k))," l ",f(d*(g[1])),", ",f(d*(g[2]+k))].join(""))}else{if(h==="<>"){j.push([" m ",f(d*(g[1]-k)),", ",f(d*(g[2]))," l ",f(d*(g[1])),", ",f(d*(g[2]+k))," l ",f(d*(g[1]+k)),", ",f(d*(g[2]))," l ",f(d*(g[1])),", ",f(d*(g[2]-k))," x e "].join(""))}else{if(h==="^"){j.push([" m ",f(d*(g[1])),", ",f(d*(g[2]-k))," l ",f(d*(g[1]-i)),", ",f(d*(g[2]+l))," l ",f(d*(g[1]+i)),", ",f(d*(g[2]+l))," x e "].join(""))}else{if(h==="v"){j.push([" m ",f(d*(g[1])),", ",f(d*(g[2]+k))," l ",f(d*(g[1]-i)),", ",f(d*(g[2]-l))," l ",f(d*(g[1]+i)),", ",f(d*(g[2]-l))," x e "].join(""))}else{if(h===">"){j.push([" m ",f(d*(g[1]+k)),", ",f(d*(g[2]))," l ",f(d*(g[1]-l)),", ",f(d*(g[2]-i))," l ",f(d*(g[1]-l)),", ",f(d*(g[2]+i))," l ",f(d*(g[1]+k)),", ",f(d*(g[2]))].join(""))}else{if(h==="<"){j.push([" m ",f(d*(g[1]-k)),", ",f(d*(g[2]))," l ",f(d*(g[1]+l)),", ",f(d*(g[2]-i))," l ",f(d*(g[1]+l)),", ",f(d*(g[2]+i))," x e "].join(""))}}}}}}}return j},updatePathStringPrim:function(e){var l=[],k,n,d=this.resolution,j=Math.round,g=" m ",h=" l ",o=" c ",f=g,p=(e.visProp.curvetype!=="plot"),m=Math.min(e.numberPoints,8192);if(e.numberPoints<=0){return""}m=Math.min(m,e.points.length);if(e.bezierDegree==1){if(p&&e.board.options.curve.RDPsmoothing){e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,1)}for(k=0;k<m;k++){n=e.points[k].scrCoords;if(isNaN(n[1])||isNaN(n[2])){f=g}else{if(n[1]>20000){n[1]=20000}else{if(n[1]<-20000){n[1]=-20000}}if(n[2]>20000){n[2]=20000}else{if(n[2]<-20000){n[2]=-20000}}l.push([f,j(d*n[1]),", ",j(d*n[2])].join(""));f=h}}}else{if(e.bezierDegree==3){k=0;while(k<m){n=e.points[k].scrCoords;if(isNaN(n[1])||isNaN(n[2])){f=g}else{l.push([f,j(d*n[1]),", ",j(d*n[2])].join(""));if(f==o){k++;n=e.points[k].scrCoords;l.push([" ",j(d*n[1]),", ",j(d*n[2])].join(""));k++;n=e.points[k].scrCoords;l.push([" ",j(d*n[1]),", ",j(d*n[2])].join(""))}f=o}k++}}}l.push(" e");return l},updatePathStringBezierPrim:function(g){var q=[],p,o,u,k,e,t=g.visProp.strokewidth,d=this.resolution,n=Math.round,l=" m ",m=" c ",h=l,v=(g.visProp.curvetype!=="plot"),s=Math.min(g.numberPoints,8192);if(g.numberPoints<=0){return""}if(v&&g.board.options.curve.RDPsmoothing){g.points=JXG.Math.Numerics.RamerDouglasPeuker(g.points,1)}s=Math.min(s,g.points.length);for(o=1;o<3;o++){h=l;for(p=0;p<s;p++){u=g.points[p].scrCoords;if(isNaN(u[1])||isNaN(u[2])){h=l}else{if(u[1]>20000){u[1]=20000}else{if(u[1]<-20000){u[1]=-20000}}if(u[2]>20000){u[2]=20000}else{if(u[2]<-20000){u[2]=-20000}}if(h==l){q.push([h,n(d*(u[1]+0*t*(2*o*Math.random()-o)))," ",n(d*(u[2]+0*t*(2*o*Math.random()-o)))].join(""))}else{q.push([h,n(d*(k+(u[1]-k)*0.333+t*(2*o*Math.random()-o)))," ",n(d*(e+(u[2]-e)*0.333+t*(2*o*Math.random()-o)))," ",n(d*(k+2*(u[1]-k)*0.333+t*(2*o*Math.random()-o)))," ",n(d*(e+2*(u[2]-e)*0.333+t*(2*o*Math.random()-o)))," ",n(d*u[1])," ",n(d*u[2])].join(""))}h=m;k=u[1];e=u[2]}}}q.push(" e");return q},updatePolygonPrim:function(h,f){var e,d=f.vertices.length,g=this.resolution,j,k=[];this._setAttr(h,"stroked","false");j=f.vertices[0].coords.scrCoords;if(isNaN(j[1]+j[2])){return}k.push(["m ",parseInt(g*j[1]),",",parseInt(g*j[2])," l "].join(""));for(e=1;e<d-1;e++){if(f.vertices[e].isReal){j=f.vertices[e].coords.scrCoords;if(isNaN(j[1]+j[2])){return}k.push(parseInt(g*j[1])+","+parseInt(g*j[2]))}else{this.updatePathPrim(h,"",f.board);return}if(e<d-2){k.push(", ")}}k.push(" x e");this.updatePathPrim(h,k,f.board)},updateRectPrim:function(g,d,i,e,f){g.style.left=parseInt(d)+"px";g.style.top=parseInt(i)+"px";if(e>=0){g.style.width=e+"px"}if(f>=0){g.style.height=f+"px"}},setPropertyPrim:function(g,f,h){var e="",d;switch(f){case"stroke":e="strokecolor";break;case"stroke-width":e="strokeweight";break;case"stroke-dasharray":e="dashstyle";break}if(e!==""){d=JXG.evaluate(h);this._setAttr(g,e,d)}},show:function(d){if(d&&d.rendNode){d.rendNode.style.visibility="inherit"}},hide:function(d){if(d&&d.rendNode){d.rendNode.style.visibility="hidden"}},setDashStyle:function(e,d){var f;if(d.dash>=0){f=e.rendNodeStroke;this._setAttr(f,"dashstyle",this.dashArray[d.dash])}},setGradient:function(e){var d=e.rendNodeFill;if(e.visProp.gradient==="linear"){this._setAttr(d,"type","gradient");this._setAttr(d,"color2",e.visProp.gradientsecondcolor);this._setAttr(d,"opacity2",e.visProp.gradientsecondopacity);this._setAttr(d,"angle",e.visProp.gradientangle)}else{if(e.visProp.gradient==="radial"){this._setAttr(d,"type","gradientradial");this._setAttr(d,"color2",e.visProp.gradientsecondcolor);this._setAttr(d,"opacity2",e.visProp.gradientsecondopacity);this._setAttr(d,"focusposition",e.visProp.gradientpositionx*100+"%,"+e.visProp.gradientpositiony*100+"%");this._setAttr(d,"focussize","0,0")}else{this._setAttr(d,"type","solid")}}},setObjectFillColor:function(e,h,i){var g=JXG.evaluate(h),k,l,d=JXG.evaluate(i),j,f=e.rendNode,m;d=(d>0)?d:0;if(e.visPropOld.fillcolor===g&&e.visPropOld.fillopacity===d){return}if(JXG.exists(g)&&g!==false){if(g.length!=9){k=g;j=d}else{l=JXG.rgba2rgbo(g);k=l[0];j=d*l[1]}if(k==="none"||k===false){this._setAttr(e.rendNode,"filled","false")}else{this._setAttr(e.rendNode,"filled","true");this._setAttr(e.rendNode,"fillcolor",k);if(JXG.exists(j)&&e.rendNodeFill){this._setAttr(e.rendNodeFill,"opacity",(j*100)+"%")}}if(e.type===JXG.OBJECT_TYPE_IMAGE){m=e.rendNode.style.filter.toString();if(m.match(/alpha/)){e.rendNode.style.filter=m.replace(/alpha\(opacity *= *[0-9\.]+\)/,"alpha(opacity = "+(j*100)+")")}else{e.rendNode.style.filter+=" alpha(opacity = "+(j*100)+")"}}}e.visPropOld.fillcolor=g;e.visPropOld.fillopacity=d},setObjectStrokeColor:function(f,i,j){var h=JXG.evaluate(i),l,m,e=JXG.evaluate(j),k,g=f.rendNode,d;e=(e>0)?e:0;if(f.visPropOld.strokecolor===h&&f.visPropOld.strokeopacity===e){return}if(JXG.exists(h)&&h!==false){if(h.length!=9){l=h;k=e}else{m=JXG.rgba2rgbo(h);l=m[0];k=e*m[1]}if(f.type===JXG.OBJECT_TYPE_TEXT){k=Math.round(k*100);g.style.filter=" alpha(opacity = "+k+")";g.style.color=l}else{if(l!==false){this._setAttr(g,"stroked","true");this._setAttr(g,"strokecolor",l)}d=f.rendNodeStroke;if(JXG.exists(k)&&f.type!==JXG.OBJECT_TYPE_IMAGE){this._setAttr(d,"opacity",(k*100)+"%")}}}f.visPropOld.strokecolor=h;f.visPropOld.strokeopacity=e},setObjectStrokeWidth:function(f,e){var d=JXG.evaluate(e),g;if(f.visPropOld.strokewidth===d){return}g=f.rendNode;this.setPropertyPrim(g,"stroked","true");if(JXG.exists(d)){this.setPropertyPrim(g,"stroke-width",d)}f.visPropOld.strokewidth=d},setShadow:function(d){var e=d.rendNodeShadow;if(!e||d.visPropOld.shadow===d.visProp.shadow){return}if(d.visProp.shadow){this._setAttr(e,"On","True");this._setAttr(e,"Offset","3pt,3pt");this._setAttr(e,"Opacity","60%");this._setAttr(e,"Color","#aaaaaa")}else{this._setAttr(e,"On","False")}d.visPropOld.shadow=d.visProp.shadow},suspendRedraw:function(){this.container.style.display="none"},unsuspendRedraw:function(){this.container.style.display=""}});JXG.CanvasRenderer=function(d){var e;this.type="canvas";this.canvasRoot=null;this.suspendHandle=null;this.canvasId=JXG.Util.genUUID();this.canvasNamespace=null;this.container=d;this.container.style.MozUserSelect="none";this.container.style.overflow="hidden";if(this.container.style.position===""){this.container.style.position="relative"}this.container.innerHTML=['<canvas id="',this.canvasId,'" width="',JXG.getStyle(this.container,"width"),'" height="',JXG.getStyle(this.container,"height"),'"><',"/canvas>"].join("");this.canvasRoot=document.getElementById(this.canvasId);this.context=this.canvasRoot.getContext("2d");this.dashArray=[[2,2],[5,5],[10,10],[20,20],[20,10,10,10],[20,5,10,5]]};JXG.CanvasRenderer.prototype=new JXG.AbstractRenderer();JXG.extend(JXG.CanvasRenderer.prototype,{_drawFilledPolygon:function(e){var g,d=e.length,f=this.context;if(d>0){f.beginPath();f.moveTo(e[0][0],e[0][1]);for(g=0;g<d;g++){if(g>0){f.lineTo(e[g][0],e[g][1])}}f.lineTo(e[0][0],e[0][1]);f.fill()}},_fill:function(e){var d=this.context;d.save();if(this._setColor(e,"fill")){d.fill()}d.restore()},_rotatePoint:function(e,d,f){return[(d*Math.cos(e))-(f*Math.sin(e)),(d*Math.sin(e))+(f*Math.cos(e))]},_rotateShape:function(e,g){var f,h=[],d=e.length;if(d<=0){return e}for(f=0;f<d;f++){h.push(this._rotatePoint(g,e[f][0],e[f][1]))}return h},_setColor:function(i,m,d){var j=true,g=false,p=i.visProp,e,h,n,l,f,k;m=m||"stroke";d=d||m;if(!JXG.exists(i.board)||!JXG.exists(i.board.highlightedObjects)){g=true}if(!g&&JXG.exists(i.board.highlightedObjects[i.id])){e="highlight"}else{e=""}h=JXG.evaluate(p[e+m+"color"]);if(h!=="none"&&h!==false){f=JXG.evaluate(p[e+m+"opacity"]);f=(f>0)?f:0;if(h.length!=9){l=h;k=f}else{n=JXG.rgba2rgbo(h);l=n[0];k=f*n[1]}this.context.globalAlpha=k;this.context[d+"Style"]=l}else{j=false}if(m==="stroke"){this.context.lineWidth=parseFloat(p.strokewidth)}return j},_stroke:function(e){var d=this.context;d.save();if(e.visProp.dash>0){if(d.setLineDash){d.setLineDash(this.dashArray[e.visProp.dash])}}else{this.context.lineDashArray=[]}if(this._setColor(e,"stroke")){d.stroke()}d.restore()},_translateShape:function(f,e,j){var g,h=[],d=f.length;if(d<=0){return f}for(g=0;g<d;g++){h.push([f[g][0]+e,f[g][1]+j])}return h},drawPoint:function(i){var j=i.visProp.face,h=i.visProp.size,l=i.coords.scrCoords,k=h*Math.sqrt(3)*0.5,d=h*0.5,e=parseFloat(i.visProp.strokewidth)/2,g=this.context;switch(j){case"cross":case"x":g.beginPath();g.moveTo(l[1]-h,l[2]-h);g.lineTo(l[1]+h,l[2]+h);g.moveTo(l[1]+h,l[2]-h);g.lineTo(l[1]-h,l[2]+h);g.closePath();this._stroke(i);break;case"circle":case"o":g.beginPath();g.arc(l[1],l[2],h+1+e,0,2*Math.PI,false);g.closePath();this._fill(i);this._stroke(i);break;case"square":case"[]":if(h<=0){break}g.save();if(this._setColor(i,"stroke","fill")){g.fillRect(l[1]-h-e,l[2]-h-e,h*2+3*e,h*2+3*e)}g.restore();g.save();this._setColor(i,"fill");g.fillRect(l[1]-h+e,l[2]-h+e,h*2-e,h*2-e);g.restore();break;case"plus":case"+":g.beginPath();g.moveTo(l[1]-h,l[2]);g.lineTo(l[1]+h,l[2]);g.moveTo(l[1],l[2]-h);g.lineTo(l[1],l[2]+h);g.closePath();this._stroke(i);break;case"diamond":case"<>":g.beginPath();g.moveTo(l[1]-h,l[2]);g.lineTo(l[1],l[2]+h);g.lineTo(l[1]+h,l[2]);g.lineTo(l[1],l[2]-h);g.closePath();this._fill(i);this._stroke(i);break;case"triangleup":case"a":case"^":g.beginPath();g.moveTo(l[1],l[2]-h);g.lineTo(l[1]-k,l[2]+d);g.lineTo(l[1]+k,l[2]+d);g.closePath();this._fill(i);this._stroke(i);break;case"triangledown":case"v":g.beginPath();g.moveTo(l[1],l[2]+h);g.lineTo(l[1]-k,l[2]-d);g.lineTo(l[1]+k,l[2]-d);g.closePath();this._fill(i);this._stroke(i);break;case"triangleleft":case"<":g.beginPath();g.moveTo(l[1]-h,l[2]);g.lineTo(l[1]+d,l[2]-k);g.lineTo(l[1]+d,l[2]+k);g.closePath();this.fill(i);this._stroke(i);break;case"triangleright":case">":g.beginPath();g.moveTo(l[1]+h,l[2]);g.lineTo(l[1]-d,l[2]-k);g.lineTo(l[1]-d,l[2]+k);g.closePath();this._fill(i);this._stroke(i);break}},updatePoint:function(d){this.drawPoint(d)},drawLine:function(d){var f=new JXG.Coords(JXG.COORDS_BY_USER,d.point1.coords.usrCoords,d.board),e=new JXG.Coords(JXG.COORDS_BY_USER,d.point2.coords.usrCoords,d.board);JXG.Math.Geometry.calcStraight(d,f,e);this.context.beginPath();this.context.moveTo(f.scrCoords[1],f.scrCoords[2]);this.context.lineTo(e.scrCoords[1],e.scrCoords[2]);this._stroke(d);this.makeArrows(d,f,e)},updateLine:function(d){this.drawLine(d)},drawTicks:function(){},updateTicks:function(g,h,e,j,f){var k,m,l=g.ticks.length,d=this.context;d.beginPath();for(k=0;k<l;k++){m=g.ticks[k];x=m[0];y=m[1];d.moveTo(x[0],y[0]);d.lineTo(x[1],y[1])}for(k=0;k<l;k++){m=g.ticks[k].scrCoords;if(g.ticks[k].major&&(g.board.needsFullUpdate||g.needsRegularUpdate)&&g.labels[k]&&g.labels[k].visProp.visible){this.updateText(g.labels[k])}}this._stroke(g)},drawCurve:function(d){if(d.visProp.handdrawing){this.updatePathStringBezierPrim(d)}else{this.updatePathStringPrim(d)}},updateCurve:function(d){this.drawCurve(d)},drawEllipse:function(f){var e=f.center.coords.scrCoords[1],d=f.center.coords.scrCoords[2],n=f.board.unitX,m=f.board.unitY,t=2*f.Radius(),s=2*f.Radius(),q=t*n,l=s*m,i=e-q/2,h=d-l/2,u=(q/2)*0.5522848,r=(l/2)*0.5522848,p=i+q,o=h+l,k=i+q/2,j=h+l/2,g=this.context;if(t>0&&s>0&&!isNaN(e+d)){g.beginPath();g.moveTo(i,j);g.bezierCurveTo(i,j-r,k-u,h,k,h);g.bezierCurveTo(k+u,h,p,j-r,p,j);g.bezierCurveTo(p,j+r,k+u,o,k,o);g.bezierCurveTo(k-u,o,i,j+r,i,j);g.closePath();this._fill(f);this._stroke(f)}},updateEllipse:function(d){return this.drawEllipse(d)},displayCopyright:function(f,e){var d=this.context;d.save();d.font=e+"px Arial";d.fillStyle="#aaa";d.lineWidth=0.5;d.fillText(f,10,2+e);d.restore()},drawInternalText:function(f){var d,e=this.context;e.save();if(this._setColor(f,"stroke","fill")&&!isNaN(f.coords.scrCoords[1]+f.coords.scrCoords[2])){if(f.visProp.fontsize){if(typeof f.visProp.fontsize==="function"){d=f.visProp.fontsize();e.font=(d>0?d:0)+"px Arial"}else{e.font=(f.visProp.fontsize)+"px Arial"}}this.transformImage(f,f.transformations);if(f.visProp.anchorx==="right"){e.textAlign="right"}else{if(f.visProp.anchorx==="middle"){e.textAlign="center"}}if(f.visProp.anchory==="top"){e.textBaseline="top"}else{if(f.visProp.anchory==="middle"){e.textBaseline="middle"}}e.fillText(f.plaintext,f.coords.scrCoords[1],f.coords.scrCoords[2])}e.restore();return null},updateInternalText:function(d){this.drawInternalText(d)},setObjectStrokeColor:function(e,h,i){var g=JXG.evaluate(h),k,l,d=JXG.evaluate(i),j,f;d=(d>0)?d:0;if(e.visPropOld.strokecolor===g&&e.visPropOld.strokeopacity===d){return}if(JXG.exists(g)&&g!==false){if(g.length!=9){k=g;j=d}else{l=JXG.rgba2rgbo(g);k=l[0];j=d*l[1]}f=e.rendNode;if(e.type===JXG.OBJECT_TYPE_TEXT&&e.visProp.display==="html"){f.style.color=k;f.style.opacity=j}}e.visPropOld.strokecolor=g;e.visPropOld.strokeopacity=d},drawImage:function(d){d.rendNode=new Image();d._src="";this.updateImage(d)},updateImage:function(e){var d=this.context,f=JXG.evaluate(e.visProp.fillopacity),g=JXG.bind(function(){e.imgIsLoaded=true;if(e.size[0]<=0||e.size[1]<=0){return}d.save();d.globalAlpha=f;this.transformImage(e,e.transformations);d.drawImage(e.rendNode,e.coords.scrCoords[1],e.coords.scrCoords[2]-e.size[1],e.size[0],e.size[1]);d.restore()},this);if(this.updateImageURL(e)){e.rendNode.onload=g}else{if(e.imgIsLoaded){g()}}},transformImage:function(h,g){var e,d=g.length,f=this.context;if(d>0){e=this.joinTransforms(h,g);if(Math.abs(JXG.Math.Numerics.det(e))>=JXG.Math.eps){f.transform(e[1][1],e[2][1],e[1][2],e[2][2],e[1][0],e[2][0])}}},updateImageURL:function(e){var d;d=JXG.evaluate(e.url);if(e._src!==d){e.imgIsLoaded=false;e.rendNode.src=d;e._src=d;return true}return false},remove:function(d){if(JXG.exists(d)&&JXG.exists(d.parentNode)){d.parentNode.removeChild(d)}},makeArrows:function(h,l,j){var n=Math.min(h.visProp.strokewidth/2,3),f=[[2,0],[-10,-4*n],[-10,4*n],[2,0]],o=[[-2,0],[10,-4*n],[10,4*n]],g,m,d,k,i,e=this.context;if(h.visProp.strokecolor!=="none"&&(h.visProp.lastarrow||h.visProp.firstarrow)){if(h.elementClass===JXG.OBJECT_CLASS_LINE){g=l.scrCoords[1];m=l.scrCoords[2];d=j.scrCoords[1];k=j.scrCoords[2]}else{return}e.save();if(this._setColor(h,"stroke","fill")){i=Math.atan2(k-m,d-g);if(h.visProp.lastarrow){this._drawFilledPolygon(this._translateShape(this._rotateShape(f,i),d,k))}if(h.visProp.firstarrow){this._drawFilledPolygon(this._translateShape(this._rotateShape(o,i),g,m))}}e.restore()}},updatePathStringPrim:function(e){var g="M",h="L",o="C",f=g,p=5000,j,l,n,m,q=(e.visProp.curvetype!=="plot"),k,d=this.context;if(e.numberPoints<=0){return}k=Math.min(e.points.length,e.numberPoints);d.beginPath();if(e.bezierDegree==1){if(q&&e.board.options.curve.RDPsmoothing){e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,0.5)}for(j=0;j<k;j++){l=e.points[j].scrCoords;if(isNaN(l[1])||isNaN(l[2])){f=g}else{if(l[1]>p){l[1]=p}else{if(l[1]<-p){l[1]=-p}}if(l[2]>p){l[2]=p}else{if(l[2]<-p){l[2]=-p}}if(f===g){d.moveTo(l[1],l[2])}else{d.lineTo(l[1],l[2])}f=h}}}else{if(e.bezierDegree==3){j=0;while(j<k){l=e.points[j].scrCoords;if(isNaN(l[1])||isNaN(l[2])){f=g}else{if(f===g){d.moveTo(l[1],l[2])}else{j++;n=e.points[j].scrCoords;j++;m=e.points[j].scrCoords;d.bezierCurveTo(l[1],l[2],n[1],n[2],m[1],m[2])}f=o}j++}}}this._fill(e);this._stroke(e)},updatePathStringBezierPrim:function(g){var l="M",m="C",k=l,t=5000,o,n,r,h,e,q=g.visProp.strokewidth,s=(g.visProp.curvetype!=="plot"),p,d=this.context;if(g.numberPoints<=0){return}if(s&&g.board.options.curve.RDPsmoothing){g.points=JXG.Math.Numerics.RamerDouglasPeuker(g.points,0.5)}p=Math.min(g.points.length,g.numberPoints);d.beginPath();for(n=1;n<3;n++){k=l;for(o=0;o<p;o++){r=g.points[o].scrCoords;if(isNaN(r[1])||isNaN(r[2])){k=l}else{if(r[1]>t){r[1]=t}else{if(r[1]<-t){r[1]=-t}}if(r[2]>t){r[2]=t}else{if(r[2]<-t){r[2]=-t}}if(k==l){d.moveTo(r[1]+0*q*(2*n*Math.random()-n),r[2]+0*q*(2*n*Math.random()-n))}else{d.bezierCurveTo((h+(r[1]-h)*0.333+q*(2*n*Math.random()-n)),(e+(r[2]-e)*0.333+q*(2*n*Math.random()-n)),(h+2*(r[1]-h)*0.333+q*(2*n*Math.random()-n)),(e+2*(r[2]-e)*0.333+q*(2*n*Math.random()-n)),r[1],r[2])}k=m;h=r[1];e=r[2]}}}this._fill(g);this._stroke(g)},updatePolygonPrim:function(k,j){var f,h,e=j.vertices.length,g=this.context,d=true;if(e<=0){return}g.beginPath();h=0;while(!j.vertices[h].isReal&&h<e-1){h++;d=false}f=j.vertices[h].coords.scrCoords;g.moveTo(f[1],f[2]);for(h=h;h<e-1;h++){if(!j.vertices[h].isReal){d=false}f=j.vertices[h].coords.scrCoords;g.lineTo(f[1],f[2])}g.closePath();if(d){this._fill(j)}},show:function(d){if(JXG.exists(d.rendNode)){d.rendNode.style.visibility="inherit"}},hide:function(d){if(JXG.exists(d.rendNode)){d.rendNode.style.visibility="hidden"}},setGradient:function(e){var d,f;f=JXG.evaluate(e.visProp.fillopacity);f=(f>0)?f:0;d=JXG.evaluate(e.visProp.fillcolor)},setShadow:function(d){if(d.visPropOld.shadow===d.visProp.shadow){return}d.visPropOld.shadow=d.visProp.shadow},highlight:function(d){if(d.type===JXG.OBJECT_TYPE_TEXT&&d.visProp.display==="html"){this.updateTextStyle(d,true)}else{d.board.prepareUpdate();d.board.renderer.suspendRedraw(d.board);d.board.updateRenderer();d.board.renderer.unsuspendRedraw()}return this},noHighlight:function(d){if(d.type===JXG.OBJECT_TYPE_TEXT&&d.visProp.display==="html"){this.updateTextStyle(d,false)}else{d.board.prepareUpdate();d.board.renderer.suspendRedraw(d.board);d.board.updateRenderer();d.board.renderer.unsuspendRedraw()}return this},suspendRedraw:function(d){this.context.save();this.context.clearRect(0,0,this.canvasRoot.width,this.canvasRoot.height);if(d&&d.showCopyright){this.displayCopyright(JXG.JSXGraph.licenseText,12)}},unsuspendRedraw:function(){this.context.restore()},resize:function(d,e){this.canvasRoot.style.width=parseFloat(d)+"px";this.canvasRoot.style.height=parseFloat(e)+"px";this.canvasRoot.setAttribute("width",parseFloat(d)+"px");this.canvasRoot.setAttribute("height",parseFloat(e)+"px")}});
\ No newline at end of file
diff --git a/ajax/libs/jsxgraph/0.96/CinderellaReader.min.js b/ajax/libs/jsxgraph/0.96/CinderellaReader.min.js
new file mode 100644
index 000000000..2c976ea74
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/CinderellaReader.min.js
@@ -0,0 +1,33 @@
+/* Version 0.96 */
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    JXG.CinderellaReader=new function(){this.parseData=function(e){var t,n,r,i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E;t=this.data.split("\n");for(n=0;n<t.length;n++)if(t[n].search(/FreePoint.+/)!=-1){s=t[n].slice(t[n].search(/FreePoint.+/)+11),s=s.split(",");for(r=0;r<s.length;r++)s[r]=s[r].slice(0,s[r].search(/\+i\*/));u=t[n].match(/"[A-Za-z]*"/),u=u[0].slice(1,u[0].length-1),h=this.readPointProperties(t,n),n=h[1],e.create("point",[s[0]/s[2],-1*s[1]/s[2]],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})}else if(t[n].search(/Join\(.+/)!=-1||t[n].search(/Segment\(.+/)!=-1){t[n].search(/Join\(.+/)!=-1?(a=t[n].slice(t[n].search(/Join.+/)+5),f=!1):(a=t[n].slice(t[n].search(/Segment.+/)+8),f=!0),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z]*"/),u=u[0].slice(1,u[0].length-1),h=this.readLineProperties(t,n),n=h[2],e.create("line",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{straightFirst:!f,straightLast:!f,name:u,withLabel:!0,strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})}else if(t[n].search(/CircleMP.+/)!=-1){a=t[n].slice(t[n].search(/CircleMP.+/)+9),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],e.create("circle",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]})}else if(t[n].search(/CircleByFixedRadius.+/)!=-1||t[n].search(/CircleByRadius.+/)!=-1)t[n].search(/CircleByFixedRadius.+/)!=-1?a=t[n].slice(t[n].search(/CircleByFixedRadius.+/)+20):a=t[n].slice(t[n].search(/CircleByRadius.+/)+15),a=a.split(","),o=a[0].match(/"[A-Za-z0-9]*"/)[0],o=o.slice(1,o.length-1),u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),l=a[1].slice(0,a[1].search(/\+i\*/)),h=this.readCircleProperties(t,n),n=h[3],e.create("circle",[JXG.getReference(e,o),Math.sqrt(1*l)],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]});else if(t[n].search(/PointOnCircle.+/)!=-1){a=t[n].split(":="),u=a[0].match(/"[A-Za-z]*"/)[0],u=u.slice(1,u.length-1),o=a[1].match(/"[A-Za-z0-9]*"/)[0],o=o.slice(1,o.length-1),a=a[1].match(/\[.*\]/)[0],a=a.split(",");for(i=0;i<a.length;i++)a[i]=a[i].split("+i*");a[0]=1*a[0][0].slice(1),a[1]=1*a[1][0],t[n][1]=="n"&&(a[0]=-1*a[0],a[1]=-1*a[1]),h=this.readPointProperties(t,n),n=h[1],c=JXG.getReference(e,o),e.create("glider",[c.center.coords.usrCoords[1]+a[0],c.center.coords.usrCoords[2]-a[1],c],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})}else if(t[n].search(/PointOnLine.+/)!=-1){a=t[n].split(":="),u=a[0].match(/"[A-Za-z]*"/)[0],u=u.slice(1,u.length-1),o=a[1].match(/"[A-Za-z0-9]*"/)[0],o=o.slice(1,o.length-1),s=a[1].match(/\[.*\]/)[0],s=s.split(","),s[0]=1*s[0].slice(1,s[0].search(/\+i\*/));for(r=1;r<s.length;r++)s[r]=1*s[r].slice(0,s[r].search(/\+i\*/));h=this.readPointProperties(t,n),n=h[1],e.create("glider",[s[0]/s[2],-1*s[1]/s[2],JXG.getReference(e,o)],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})}else if(t[n].search(/Mid\(.+/)!=-1){a=t[n].slice(t[n].search(/Mid.+/)+4),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readPointProperties(t,n),n=h[1],e.create("midpoint",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})}else if(t[n].search(/CircleBy3\(.+/)!=-1){a=t[n].slice(t[n].search(/CircleBy3.+/)+10),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],c=e.create("circumcircle",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),JXG.getReference(e,o[2])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2],point:{name:"",visible:!1}})}else if(t[n].search(/Parallel\(.+/)!=-1){a=t[n].slice(t[n].search(/Parallel.+/)+9),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readLineProperties(t,n),n=h[2],e.create("parallel",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{name:u,withLabel:!0,strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})}else if(t[n].search(/Orthogonal\(.+/)!=-1){a=t[n].slice(t[n].search(/Parallel.+/)+11),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readLineProperties(t,n),n=h[2],e.create("normal",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{name:u,withLabel:!0,strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})}else if(t[n].search(/ConicBy5\(.+/)!=-1){a=t[n].slice(t[n].search(/ConicBy5.+/)+9),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],e.create("conic",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),JXG.getReference(e,o[2]),JXG.getReference(e,o[3]),JXG.getReference(e,o[4])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]})}else if(t[n].search(/ConicFoci\(.+/)!=-1||t[n].search(/ConicFociH\(.+/)!=-1){a=t[n].split(":="),u=a[0].match(/"[A-Za-z0-9]*"/)[0],u=u.slice(1,u.length-1),o=a[1].match(/"[A-Za-z0-9]*"/g);for(r=0;r<o.length;r++)o[r]=o[r].slice(1,o[r].length-1);h=this.readCircleProperties(t,n),t[n].search(/ConicFociH\(.+/)!=-1?e.create("hyperbola",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),JXG.getReference(e,o[2])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]}):e.create("ellipse",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),JXG.getReference(e,o[2])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]}),n=h[3]}else if(t[n].search(/ConicParabolaPL\(.+/)!=-1){a=t[n].slice(t[n].search(/ConicParabolaPL.+/)+16),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],e.create("parabola",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]})}else if(t[n].search(/Poly\(.+/)!=-1){a=t[n].slice(t[n].search(/Poly.+/)+5),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1),o[r]=JXG.getReference(e,o[r]);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],p=e.create("polygon",o,{name:u}),p.setProperty({fillColor:h[1],fillOpacity:h[2]});for(r=0;r<p.borders.length;r++)p.borders[r].setProperty({strokeColor:h[0][0],strokeWidth:h[0][2]})}else if(t[n].search(/Arc\(.+/)!=-1){a=t[n].slice(t[n].search(/Arc.+/)+4),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],p=e.create("circumcirclearc",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),JXG.getReference(e,o[2])],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]})}else if(t[n].search(/Through\(.+/)!=-1){a=t[n].slice(t[n].search(/Through.+/)+8),o=a.match(/"[A-Za-z]*"/)[0],o=o.slice(1,o.length-1),s=a.match(/\[.*\]/)[0],s=s.split(","),s[0]=1*s[0].slice(1,s[0].search(/\+i\*/));for(r=1;r<s.length;r++)s[r]=1*s[r].slice(0,s[r].search(/\+i\*/));u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),r=JXG.getReference(e,o),d=e.create("point",[r.coords.usrCoords[1]+1*s[0],r.coords.usrCoords[2]+1*s[1]],{visible:!1}),h=this.readLineProperties(t,n),n=h[2],e.create("line",[r,d],{name:u,withLabel:!0,strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})}else if(t[n].search(/:=Compass\(.+/)!=-1){a=t[n].slice(t[n].search(/Compass.+/)+8),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readCircleProperties(t,n),n=h[3],l=function(e,t){return function(){return JXG.getReference(t,e[0]).Dist(JXG.getReference(t,e[1]))}}(o,e),e.create("circle",[JXG.getReference(e,o[2]),l],{name:u,strokeColor:h[0][0],fillColor:h[1],fillOpacity:h[2],strokeWidth:h[0][2]})}else if(t[n].search(/AngularBisector\(.+/)!=-1)a=t[n].split(":="),a[0]=a[0].split(","),a[0][0]=="{null"?u="":u=a[0][0].slice(2,a[0][0].length-1),a[0][1]=="null"?v="":v=a[0][1].slice(1,a[0][1].length-1),a[1]=a[1].match(/"[A-Za-z0-9]*"/g),o=[],o[0]=a[1][0].slice(1,a[1][0].length-1),o[1]=a[1][1].slice(1,a[1][1].length-1),h=this.readLineProperties(t,n),n=h[2],u!=""&&v!=""&&(m=this.readLineProperties(t,n),n=h[2]),g=e.create("bisectorlines",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1])],{line1:{name:v},line2:{name:u},withLabel:!0}),u==""?(g.line2.setProperty({visible:!1}),g.line1.setProperty({strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})):v==""?(g.line1.setProperty({visible:!1}),g.line2.setProperty({strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]})):(g.line1.setProperty({strokeColor:h[0][0],strokeWidth:h[0][2],dash:h[1]}),g.line2.setProperty({strokeColor:m[0][0],strokeWidth:m[0][2],dash:m[1]}));else if(t[n].search(/Meet\(.+/)!=-1){a=t[n].slice(t[n].search(/Meet.+/)+5),a=a.split(","),o=[];for(r=0;r<a.length;r++)o[r]=a[r].match(/"[A-Za-z]*"/)[0],o[r]=o[r].slice(1,o[r].length-1);u=t[n].match(/"[A-Za-z0-9]*"/),u=u[0].slice(1,u[0].length-1),h=this.readPointProperties(t,n),n=h[1],e.create("intersection",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),0],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})}else t[n].search(/IntersectionConicLine\(.+/)!=-1||t[n].search(/IntersectionCircleCircle\(.+/)!=-1?(t[n].search(/IntersectionConicLine\(.+/)!=-1?(i=0,r=1):(i=1,r=0),a=t[n].split(":="),a[0]=a[0].split(","),a[0][0]=="{null"?u="":u=a[0][0].slice(2,a[0][0].length-1),a[0][1]=="null"?v="":v=a[0][1].slice(1,a[0][1].length-1),a[1]=a[1].match(/"[A-Za-z0-9]*"/g),o=[],o[0]=a[1][0].slice(1,a[1][0].length-1),o[1]=a[1][1].slice(1,a[1][1].length-1),h=this.readPointProperties(t,n),n=h[1],u!=""&&v!=""&&(m=this.readPointProperties(t,n),n=h[1]),v!=""?(d=e.create("intersection",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),r],{name:v,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]}),u!=""&&(y=e.create("otherintersection",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),d],{name:u,size:m[0][1],fillColor:m[0][0],strokeColor:m[2],labelColor:m[3]}))):d=e.create("intersection",[JXG.getReference(e,o[0]),JXG.getReference(e,o[1]),i],{name:u,size:h[0][1],fillColor:h[0][0],strokeColor:h[2],labelColor:h[3]})):t[n].search(/setOriginX\(([0-9.]*)\)/)!=-1?b=RegExp.$1:t[n].search(/setOriginY\(([0-9.]*)\)/)!=-1?w=RegExp.$1:t[n].search(/setScale\(([0-9.]*)\)/)!=-1&&(E=1*RegExp.$1/25);return e.zoomX*=E/2.4,e.zoomY*=E/2.4,b=e.origin.scrCoords[1]*e.options.zoom.factorX,w=e.origin.scrCoords[2]*e.options.zoom.factorY,e.origin=new JXG.Coords(JXG.COORDS_BY_SCREEN,[b-150,w+50],e),e.applyZoom(),e},this.calculateColor=function(e){e=parseInt(e);switch(e){case 0:return"white";case 1:return"black";case 2:return"red";case 3:return"blue";case 4:return"green";case 5:return"yellow";case 6:return"#ffafaf";case 7:return"cyan";case 8:return"#ffc800";case 9:return"#199e4e";case 10:return"#b75500";case 11:return"#7700b7";case 12:return"#ff7f00";case 13:return"#03a7bc";case 14:return"#c10000";case 15:return"#808080";case 16:return"#ff4a4a";case 17:return"#faff9e";case 18:return"#b6ffaa";case 19:return"#82f2ff";case 20:return"#d4a3ff";case 21:return"#ffbd77"}},this.readPointProperties=function(e,t){var n,r,i;do t+=1;while(e[t].search(/setAppearance/)==-1);n=e[t].match(/\([A-Za-z,0-9\.]*\)/)[0],n=n.slice(1,n.length-1).split(","),n[0]=this.calculateColor(n[0]);do t+=1;while(e[t].search(/pointborder/)==-1);return e[t].search(/false/)!=-1?(r="none",i=n[0]):(r="black",i="black"),[n,t,r,i]},this.readCircleProperties=function(e,t){var n,r,i;do t+=1;while(e[t].search(/setAppearance/)==-1);n=e[t].match(/\([A-Za-z,0-9\.]*\)/)[0],n=n.slice(1,n.length-1).split(","),n[0]=this.calculateColor(n[0]);do t+=1;while(e[t].search(/colorfill/)==-1);r=e[t].match(/"[0-9]*"/)[0],r=r.slice(1,r.length-1),r=this.calculateColor(r);do t+=1;while(e[t].search(/visibilityfill|fillalpha/)==-1);return i=e[t].match(/"[0-9\.]*"/)[0],i=i.slice(1,i.length-1),e[t].match(/visibilityfill/)?i=1*i/10:i=1*i,[n,r,i,t]},this.readLineProperties=function(e,t){var n,r;do t+=1;while(e[t].search(/setAppearance/)==-1);n=e[t].match(/\([A-Za-z,0-9\.]*\)/)[0],n=n.slice(1,n.length-1).split(","),n[0]=this.calculateColor(n[0]);do t+=1;while(e[t].search(/linedashing/)==-1);return e[t].search(/false/)!=-1?r=0:r=3,[n,r,t]},this.prepareString=function(e){var t,n=[],r;if(e.indexOf("<")!=0){r=e.length;for(t=0;t<r;t++)n[t]=JXG.Util.asciiCharCodeAt(e,t);e=(new JXG.Util.Unzip(n)).unzip()[0][0]}return e},this.readCinderella=function(e,t){this.data=this.prepareString(e),t.suspendUpdate(),this.parseData(t),t.unsuspendUpdate()}};
diff --git a/ajax/libs/jsxgraph/0.96/GeogebraReader.min.js b/ajax/libs/jsxgraph/0.96/GeogebraReader.min.js
new file mode 100644
index 000000000..77f7976b4
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/GeogebraReader.min.js
@@ -0,0 +1,33 @@
+/* Version 0.96 */
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    JXG.GeogebraReader=new function(){this.ggbAct=function(e,t,n){var r=t,i=n,s,o,u;switch(e.toLowerCase()){case"end":return r;case"coord":return s=JXG.GeogebraReader.board.ggbElements[r]?'JXG.getRef(JXG.GeogebraReader.board, "'+r+'")':r,o=JXG.GeogebraReader.board.ggbElements[i]?'JXG.getRef(JXG.GeogebraReader.board, "'+i+'")':i,[s,o];case"le":return"( ("+r+") <= ("+i+") )";case"ge":return"( ("+r+") >= ("+i+") )";case"eq":return"( ("+r+") == ("+i+") )";case"neq":return"( ("+r+") != ("+i+") )";case"lt":return"( ("+r+") < ("+i+") )";case"gt":return"( ("+r+") > ("+i+") )";case"add":if(JXG.GeogebraReader.isGGBVector(r)&&JXG.GeogebraReader.isGGBVector(i))return[1,r[1]+"+"+i[1],r[2]+"+"+i[2]];JXG.isString(r)&&!r.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&r.match(/JXG\.getRef/)?s=[r+".X()",r+".Y()"]:s=r,JXG.isString(i)&&!i.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&i.match(/JXG\.getRef/)?o=[i+".X()",i+".Y()"]:o=i;if(JXG.GeogebraReader.isGGBVector(s)&&JXG.isArray(o))return[s[1]+"+"+o[0],s[2]+"+"+o[1]];if(JXG.GeogebraReader.isGGBVector(o)&&JXG.isArray(s))return[o[1]+"+"+s[0],o[2]+"+"+s[1]];return JXG.isArray(s)&&JXG.isArray(o)?[s[0]+" + "+o[0],s[1]+" + "+o[1]]:(JXG.isNumber(s)||JXG.isString(s))&&(JXG.isNumber(o)||JXG.isString(o))?s+" + "+o:(JXG.isNumber(s)||JXG.isString(s))&&JXG.isArray(o)?[s+" + "+o[0],s+" + "+o[1]]:JXG.isArray(s)&&(JXG.isNumber(o)||JXG.isString(o))?[s[0]+" + "+o,s[1]+" + "+o]:s+" + "+o;case"sub":if(JXG.GeogebraReader.isGGBVector(r)&&JXG.GeogebraReader.isGGBVector(i))return[1,r[1]+"-"+i[1],r[2]+"-"+i[2]];JXG.isString(r)&&!r.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&r.match(/JXG\.getRef/)?s=[r+".X()",r+".Y()"]:s=r,JXG.isString(i)&&!i.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&i.match(/JXG\.getRef/)?o=[i+".X()",i+".Y()"]:o=i;if(JXG.GeogebraReader.isGGBVector(s)&&JXG.isArray(o))return[s[1]+"-"+o[0],s[2]+"-"+o[1]];if(JXG.isArray(s)&&JXG.GeogebraReader.isGGBVector(o))return[s[0]+"-("+o[1]+")",s[1]+"-("+o[2]+")"];return JXG.isArray(s)&&JXG.isArray(o)?[s[0]+" - "+o[0],s[1]+" - "+o[1]]:(JXG.isNumber(s)||JXG.isString(s))&&(JXG.isNumber(o)||JXG.isString(o))?s+" - "+o:(JXG.isNumber(s)||JXG.isString(s))&&JXG.isArray(o)?[s+" - "+o[0],s+" - "+o[1]]:JXG.isArray(s)&&(JXG.isNumber(o)||JXG.isString(o))?[s[0]+" - "+o,s[1]+" - "+o]:s+" - "+o;case"neg":return"!("+r+")";case"pow":return"Math.pow("+r+", "+i+")";case"or":return"("+r+"||"+i+")";case"and":return"("+r+"&&"+i+")";case"mul":return JXG.GeogebraReader.isGGBVector(r)&&!JXG.isArray(i)?[1,"("+r[1]+")*"+i,"("+r[2]+")*"+i]:!JXG.isArray(r)&&JXG.GeogebraReader.isGGBVector(i)?new Array(1,"("+i[1]+")*"+r,"("+i[2]+")*"+r):JXG.GeogebraReader.isGGBVector(r)&&JXG.GeogebraReader.isGGBVector(i)?"(("+r[1]+")*("+i[1]+")+("+r[2]+")*("+i[2]+"))":(JXG.isString(r)&&!r.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&r.match(/JXG\.getRef/)?s=[r+".X()",r+".Y()"]:s=r,JXG.isString(i)&&!i.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&i.match(/JXG\.getRef/)?o=[i+".X()",i+".Y()"]:o=i,JXG.isArray(s)&&JXG.isArray(o)?[s[0]+" * "+o[0],s[1]+" * "+o[1]]:(JXG.isNumber(s)||JXG.isString(s))&&(JXG.isNumber(o)||JXG.isString(o))?s+" * "+o:(JXG.isNumber(s)||JXG.isString(s))&&JXG.isArray(o)?[s+" * "+o[0],s+" * "+o[1]]:JXG.isArray(s)&&(JXG.isNumber(o)||JXG.isString(o))?[s[0]+" * "+o,s[1]+" * "+o]:s+" * "+o);case"div":return JXG.isString(r)&&!r.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&r.match(/JXG\.getRef/)?s=[r+".X()",r+".Y()"]:s=r,JXG.isString(i)&&!i.match(/JXG\.getRef\(JXG\.GeogebraReader\.board, "(.+?)"\)\./)&&i.match(/JXG\.getRef/)?o=[i+".X()",i+".Y()"]:o=i,JXG.isArray(s)&&JXG.isArray(o)?[s[0]+" / "+o[0],s[1]+" / "+o[1]]:(JXG.isNumber(s)||JXG.isString(s))&&(JXG.isNumber(o)||JXG.isString(o))?s+" / "+o:(JXG.isNumber(s)||JXG.isString(s))&&JXG.isArray(o)?[s+" / "+o[0],s+" / "+o[1]]:JXG.isArray(s)&&(JXG.isNumber(o)||JXG.isString(o))?[s[0]+" / "+o,s[1]+" / "+o]:s+" / "+o;case"negmult":if(JXG.GeogebraReader.isGGBVector(r))return new Array(1,"-1*"+r[1],"-1*"+r[2]);return"-1*"+r;case"bra":if(JXG.GeogebraReader.isGGBVector(r))return new Array(1,"("+r[1]+")","("+r[2]+")");return"("+r+")";case"int":return parseInt(r);case"float":return parseFloat(r);case"param":return r;case"html":return r;case"string":return i?[r,i]:r;case"command":i=r.split("["),s=i[0],o=i[1].split("]")[0];switch(s.toLowerCase()){case"name":return'JXG.getRef(JXG.GeogebraReader.board, "'+o+'").getName()'}break;case"var":if(!i)return r=="PI"?"Math.PI":(u=JXG.GeogebraReader.checkElement(r),typeof JXG.GeogebraReader.board.ggb[r]!="undefined"?'JXG.GeogebraReader.board.ggb["'+r+'"]()':typeof u.Value!="undefined"?'JXG.getRef(JXG.GeogebraReader.board, "'+r+'").Value()':typeof u.Area!="undefined"?'JXG.getRef(JXG.GeogebraReader.board, "'+r+'").Area()':typeof u.plaintextStr!="undefined"?'1.0*JXG.getRef(JXG.GeogebraReader.board, "'+r+'").plaintextStr':u.type==JXG.OBJECT_TYPE_VECTOR?new Array(1,'JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point2.X()-JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point1.X()','JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point2.Y()-JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point1.Y()'):u.elementClass==JXG.OBJECT_CLASS_LINE?'JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point1.Dist(JXG.getRef(JXG.GeogebraReader.board, "'+r+'").point2)':'JXG.getRef(JXG.GeogebraReader.board, "'+r+'")');switch(r.toLowerCase()){case"x":return i+".X()";case"y":return i+".Y()";case"abs":case"acos":case"asin":case"atan":case"ceil":case"cos":case"exp":case"floor":case"log":case"max":case"min":case"pow":case"random":case"round":case"sin":case"sqrt":case"tan":return"Math."+r.toLowerCase()+"("+i+")";default:return r.toLowerCase()+"*("+i+")"}}},this.ggbParse=function(e,t){function i(e){r+=e+"\n"}function s(e){var t=0,n=-1,r=0,i=0,s=e.offset+1;do{s--,t=0,n=-2,i=s;if(e.src.length<=i)return 28;do{switch(t){case 0:e.src.charCodeAt(s)==9||e.src.charCodeAt(s)==32?t=1:e.src.charCodeAt(s)==33?t=2:e.src.charCodeAt(s)==40?t=3:e.src.charCodeAt(s)==41?t=4:e.src.charCodeAt(s)==42?t=5:e.src.charCodeAt(s)==43?t=6:e.src.charCodeAt(s)==44?t=7:e.src.charCodeAt(s)==45?t=8:e.src.charCodeAt(s)==47?t=9:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57?t=10:e.src.charCodeAt(s)==60?t=11:e.src.charCodeAt(s)==62?t=12:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=13:e.src.charCodeAt(s)==94?t=14:e.src.charCodeAt(s)==34?t=26:e.src.charCodeAt(s)==38?t=28:e.src.charCodeAt(s)==46?t=29:e.src.charCodeAt(s)==61?t=30:e.src.charCodeAt(s)==95?t=31:e.src.charCodeAt(s)==124?t=32:t=-1;break;case 1:t=-1,n=1,r=s;break;case 2:e.src.charCodeAt(s)==61?t=15:t=-1,n=23,r=s;break;case 3:t=-1,n=2,r=s;break;case 4:t=-1,n=3,r=s;break;case 5:t=-1,n=13,r=s;break;case 6:t=-1,n=11,r=s;break;case 7:t=-1,n=16,r=s;break;case 8:t=-1,n=12,r=s;break;case 9:t=-1,n=14,r=s;break;case 10:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57?t=10:e.src.charCodeAt(s)==46?t=18:t=-1,n=4,r=s;break;case 11:e.src.charCodeAt(s)==61?t=19:t=-1,n=21,r=s;break;case 12:e.src.charCodeAt(s)==61?t=21:t=-1,n=22,r=s;break;case 13:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=13:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57?t=27:e.src.charCodeAt(s)==91?t=34:e.src.charCodeAt(s)==95?t=35:t=-1,n=7,r=s;break;case 14:t=-1,n=15,r=s;break;case 15:t=-1,n=20,r=s;break;case 16:t=-1,n=9,r=s;break;case 17:t=-1,n=25,r=s;break;case 18:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57?t=18:t=-1,n=5,r=s;break;case 19:t=-1,n=17,r=s;break;case 20:t=-1,n=19,r=s;break;case 21:t=-1,n=18,r=s;break;case 22:t=-1,n=24,r=s;break;case 23:t=-1,n=8,r=s;break;case 24:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57||e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=24:t=-1,n=6,r=s;break;case 25:t=-1,n=10,r=s;break;case 26:e.src.charCodeAt(s)==34?t=16:e.src.charCodeAt(s)==32||e.src.charCodeAt(s)==46||e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57||e.src.charCodeAt(s)==61||e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122||e.src.charCodeAt(s)==223||e.src.charCodeAt(s)==228||e.src.charCodeAt(s)==246||e.src.charCodeAt(s)==252?t=26:t=-1;break;case 27:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57||e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=27:e.src.charCodeAt(s)==95?t=35:t=-1,n=7,r=s;break;case 28:e.src.charCodeAt(s)==38?t=17:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=33:t=-1;break;case 29:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57?t=18:t=-1;break;case 30:e.src.charCodeAt(s)==61?t=20:t=-1;break;case 31:e.src.charCodeAt(s)==95?t=36:t=-1;break;case 32:e.src.charCodeAt(s)==124?t=22:t=-1;break;case 33:e.src.charCodeAt(s)==59?t=23:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=33:t=-1;break;case 34:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=37:t=-1;break;case 35:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57||e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=27:e.src.charCodeAt(s)==95?t=35:t=-1;break;case 36:e.src.charCodeAt(s)>=48&&e.src.charCodeAt(s)<=57||e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=24:t=-1;break;case 37:e.src.charCodeAt(s)==93?t=25:e.src.charCodeAt(s)>=65&&e.src.charCodeAt(s)<=90||e.src.charCodeAt(s)>=97&&e.src.charCodeAt(s)<=122?t=37:t=-1}s++}while(t>-1)}while(n==1);return n>-1?(e.att=e.src.substr(i,r-i),e.offset=r):(e.att=new String,n=-1),n}function o(e,o,u){var a=new Array,f=new Array,c=0,h,p,d,v,m=new Function("","var offset; var src; var att;"),g=new m,y=new Array(new Array(0,1),new Array(27,1),new Array(26,5),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,2),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,3),new Array(26,2),new Array(26,3),new Array(26,3),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,1),new Array(26,4),new Array(26,1)),b=new Array(new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(28,0),new Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,28,-1),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(2,3,23,4,12,5,9,6,4,7,5,8,6,9,8,10,10,11,7,12),new Array(11,29,28,-24,17,-24,18,-24,19,-24,20,-24,21,-24,22,-24,12,-24,15,-24,24,-24,25,-24,13,-24,14,-24,16,-24,3,-24),new 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Array(14,-16,13,-16,25,15,24,16,15,17,12,-16,11,-16,22,20,21,21,20,22,19,23,18,24,17,25,28,-16,16,-16,3,-16),new Array(14,-15,13,-15,25,15,24,16,15,17,12,-15,11,-15,22,20,21,21,20,22,19,23,18,24,17,25,28,-15,16,-15,3,-15),new Array(14,-14,13,-14,25,-14,24,-14,15,-14,12,-14,11,-14,22,-14,21,-14,20,-14,19,-14,18,-14,17,-14,28,-14,16,-14,3,-14),new Array(14,-13,13,-13,25,-13,24,-13,15,-13,12,-13,11,-13,22,-13,21,-13,20,-13,19,-13,18,-13,17,-13,28,-13,16,-13,3,-13),new Array(14,-12,13,-12,25,15,24,16,15,-12,12,-12,11,-12,22,20,21,21,20,22,19,23,18,24,17,25,28,-12,16,-12,3,-12),new Array(14,13,13,14,25,15,24,16,15,17,12,-10,11,-10,22,20,21,21,20,22,19,23,18,24,17,25,28,-10,16,-10,3,-10),new Array(14,13,13,14,25,15,24,16,15,17,12,-9,11,-9,22,20,21,21,20,22,19,23,18,24,17,25,28,-9,16,-9,3,-9),new Array(14,-8,13,-8,25,15,24,16,15,-8,12,-8,11,-8,22,-8,21,-8,20,-8,19,-8,18,-8,17,-8,28,-8,16,-8,3,-8),new 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Array(14,13,13,14,25,15,24,16,15,17,12,18,11,19,22,20,21,21,20,22,19,23,18,24,17,25,3,50),new Array(28,-26,17,-26,18,-26,19,-26,20,-26,21,-26,22,-26,11,-26,12,-26,15,-26,24,-26,25,-26,13,-26,14,-26,16,-26,3,-26),new Array(28,-2,17,-2,18,-2,19,-2,20,-2,21,-2,22,-2,11,-2,12,-2,15,-2,24,-2,25,-2,13,-2,14,-2,16,-2,3,-2)),w=new Array(new Array(27,1,26,2),new Array,new Array,new Array(26,26),new Array(26,27),new Array(26,28),new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array(26,31),new Array(26,32),new Array(26,33),new Array(26,34),new Array(26,35),new Array(26,36),new Array(26,37),new Array(26,38),new Array(26,39),new Array(26,40),new Array(26,41),new Array(26,42),new Array(26,43),new Array,new Array,new Array,new Array(26,46),new Array(26,47),new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array,new Array(26,48),new Array,new Array,new Array,new Array,new Array,new Array),E=new Array("p'","WHITESPACE","(",")","INT","FLOAT","PARAM","VAR","HTML","STRING","COMMAND","+","-","*","/","^",",","<=",">=","==","!=","<",">","!","||","&&","e","p","$");g.offset=0,g.src=e,g.att=new String,o||(o=new Array),u||(u=new Array),a.push(0),f.push(0),d=s(g);for(;;){h=52;for(var S=0;S<b[a[a.length-1]].length;S+=2)if(b[a[a.length-1]][S]==d){h=b[a[a.length-1]][S+1];break}n&&a.length>0&&i("\nState "+a[a.length-1]+"\n"+"	Lookahead: "+E[d]+' ("'+g.att+'")\n'+"	Action: "+h+"\n"+'	Source: "'+g.src.substr(g.offset,30)+(g.offset+30<g.src.length?"...":"")+'"\n'+"	Stack: "+a.join()+"\n"+"	Value stack: "+f.join()+"\n");if(h==52){n&&i("Error detected: There is no reduce or shift on the symbol "+E[d]),c++,o.push(g.offset-g.att.length),u.push(new Array);for(var S=0;S<b[a[a.length-1]].length;S+=2)u[u.length-1].push(E[b[a[a.length-1]][S]]);var x=new Array,T=new Array;for(var S=0;S<a.length;S++)x[S]=a[S],T[S]=f[S];while(h==52&&d!=28){n&&i("	Error recovery\nCurrent lookahead: "+E[d]+" ("+g.att+")\n"+"Action: "+h+"\n\n"),d==-1&&g.offset++;while(h==52&&a.length>0){a.pop(),f.pop();if(a.length==0)break;h=52;for(var S=0;S<b[a[a.length-1]].length;S+=2)if(b[a[a.length-1]][S]==d){h=b[a[a.length-1]][S+1];break}}if(h!=52)break;for(var S=0;S<x.length;S++)a.push(x[S]),f.push(T[S]);d=s(g)}if(h==52){n&&i("	Error recovery failed, terminating parse process...");break}n&&i("	Error recovery succeeded, continuing")}if(h>0)n&&i("Shifting symbol: "+E[d]+" ("+g.att+")"),a.push(h),f.push(g.att),d=s(g),n&&i("	New lookahead symbol: "+E[d]+" ("+g.att+")");else{h*=-1,n&&i("Reducing by producution: "+h),v=void 0,n&&i("	Performing semantic action...");switch(h){case 0:v=f[f.length-1];break;case 1:v=JXG.GeogebraReader.ggbAct("end",f[f.length-1]);break;case 2:v=JXG.GeogebraReader.ggbAct("coord",f[f.length-4],f[f.length-2],t);break;case 3:v=JXG.GeogebraReader.ggbAct("le",f[f.length-3],f[f.length-1]);break;case 4:v=JXG.GeogebraReader.ggbAct("ge",f[f.length-3],f[f.length-1]);break;case 5:v=JXG.GeogebraReader.ggbAct("eq",f[f.length-3],f[f.length-1]);break;case 6:v=JXG.GeogebraReader.ggbAct("neq",f[f.length-3],f[f.length-1]);break;case 7:v=JXG.GeogebraReader.ggbAct("lt",f[f.length-3],f[f.length-1]);break;case 8:v=JXG.GeogebraReader.ggbAct("gt",f[f.length-3],f[f.length-1]);break;case 9:v=JXG.GeogebraReader.ggbAct("add",f[f.length-3],f[f.length-1]);break;case 10:v=JXG.GeogebraReader.ggbAct("sub",f[f.length-3],f[f.length-1]);break;case 11:v=JXG.GeogebraReader.ggbAct("neg",f[f.length-1]);break;case 12:v=JXG.GeogebraReader.ggbAct("pow",f[f.length-3],f[f.length-1]);break;case 13:v=JXG.GeogebraReader.ggbAct("or",f[f.length-3],f[f.length-1]);break;case 14:v=JXG.GeogebraReader.ggbAct("and",f[f.length-3],f[f.length-1]);break;case 15:v=JXG.GeogebraReader.ggbAct("mul",f[f.length-3],f[f.length-1]);break;case 16:v=JXG.GeogebraReader.ggbAct("div",f[f.length-3],f[f.length-1]);break;case 17:v=JXG.GeogebraReader.ggbAct("negmult",f[f.length-1]);break;case 18:v=JXG.GeogebraReader.ggbAct("bra",f[f.length-2]);break;case 19:v=JXG.GeogebraReader.ggbAct("string",f[f.length-3],f[f.length-1]);break;case 20:v=JXG.GeogebraReader.ggbAct("int",f[f.length-1]);break;case 21:v=JXG.GeogebraReader.ggbAct("float",f[f.length-1]);break;case 22:v=JXG.GeogebraReader.ggbAct("param",f[f.length-1]);break;case 23:v=JXG.GeogebraReader.ggbAct("html",f[f.length-1]);break;case 24:v=JXG.GeogebraReader.ggbAct("string",f[f.length-1]);break;case 25:v=JXG.GeogebraReader.ggbAct("command",f[f.length-1]);break;case 26:v=JXG.GeogebraReader.ggbAct("var",f[f.length-4],f[f.length-2]);break;case 27:v=JXG.GeogebraReader.ggbAct("var",f[f.length-1])}n&&i("	Popping "+y[h][1]+" off the stack...");for(var S=0;S<y[h][1];S++)a.pop(),l=f.pop();p=-1;for(var S=0;S<w[a[a.length-1]].length;S+=2)if(w[a[a.length-1]][S]==y[h][0]){p=w[a[a.length-1]][S+1];break}if(h==0)break;n&&i("	Pushing non-terminal "+E[y[h][0]]),a.push(p),f.push(v)}n&&(JXG.debug(r),r=new String)}return n&&(i("\nParse complete."),JXG.debug(r)),c}var t=t?JXG.getRef(JXG.GeogebraReader.board,JXG.GeogebraReader.board.ggbElements[t].id):!1;t&&JXG.debug("Zu aktualisierendes Element: "+t.name+"("+t.id+")");var n=!1,r=new String,u=new Array,a=new Array,f=0,l=e;if((f=o(l,u,a))>0){var c=new String;for(var h=0;h<f;h++)c+="Parse error in line "+(l.substr(0,u[h]).match(/\n/g)?l.substr(0,u[h]).match(/\n/g).length:1)+' near "'+l.substr(u[h])+'", expecting "'+a[h].join()+'"\n';JXG.debug(c)}return l},this.setDefaultOptions=function(e){return 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n,r,i,s=[],o;t.ggbElements=[],t.ggb={},JXG.GeogebraReader.tree=e,JXG.GeogebraReader.board=t,JXG.GeogebraReader.format=parseFloat(JXG.GeogebraReader.tree.getElementsByTagName("geogebra")[0].getAttribute("format")),JXG.GeogebraReader.decimals=parseInt(JXG.GeogebraReader.tree.getElementsByTagName("geogebra")[0].getElementsByTagName("kernel")[0].getElementsByTagName("decimals")[0].getAttribute("val")),JXG.GeogebraReader.writeBoard(t),t=JXG.GeogebraReader.setDefaultOptions(t);var u=JXG.GeogebraReader.tree.getElementsByTagName("construction");for(var a=0;a<u.length;a++){var f=u[a].getElementsByTagName("command");for(var l=0;l<f.length;l++){r=f[l];var c=[];for(i=0;i<r.getElementsByTagName("input")[0].attributes.length;i++)n=r.getElementsByTagName("input")[0].attributes[i].value,n.match(/\u00B0/)||!n.match(/\D/)||n.match(/Circle/)||r.getAttribute("name")=="Function"||n==parseFloat(n)?c[i]=n:n=="xAxis"||n=="yAxis"?c[i]=t.ggbElements[n]:c[i]=JXG.GeogebraReader.checkElement(n);var h=[],p=r.getElementsByTagName("output")[0].attributes[0].value;for(i=0;i<r.getElementsByTagName("output")[0].attributes.length;i++)n=r.getElementsByTagName("output")[0].attributes[i].value,h[i]=JXG.GeogebraReader.getElement(n);if(typeof t.ggbElements[p]=="undefined"||t.ggbElements[p]==""){t.ggbElements[p]=JXG.GeogebraReader.writeElement(t,h,c,r.getAttribute("name").toLowerCase());if(t.ggbElements[p].borders)for(var i=0;i<t.ggbElements[p].borders.length;i++)t.ggbElements[t.ggbElements[p].borders[i].name]=t.ggbElements[p].borders[i]}}JXG.debug("Restesammler: ");var d=u[a].getElementsByTagName("element");for(var l=0;l<d.length;l++){var r=d[l],n=r.getAttribute("label");if(typeof t.ggbElements[n]=="undefined"||t.ggbElements[n]==""){t.ggbElements[n]=JXG.GeogebraReader.writeElement(t,r);if(o=JXG.GeogebraReader.getElement(n,!0)){var v=r.getAttribute("type");switch(v){case"text":case"function":break;default:JXG.GeogebraReader.ggbParse(o.getAttribute("exp"),n)}}}}}t.unsuspendUpdate(),t.fullUpdate()},this.utf8replace=function(e){return e=e.match(/\u03C0/)?e.replace(/\u03C0/g,"PI"):e,e=e.match(/\u00B2/)?e.replace(/\u00B2/g,"^2"):e,e=e.match(/\u00B3/)?e.replace(/\u00B3/g,"^3"):e,e=e.match(/\u225F/)?e.replace(/\u225F/g,"=="):e,e=e.match(/\u2260/)?e.replace(/\u2260/g,"!="):e,e=e.match(/\u2264/)?e.replace(/\u2264/g,"<="):e,e=e.match(/\u2265/)?e.replace(/\u2265/g,">="):e,e=e.match(/\u2227/)?e.replace(/\u2227/g,"&&"):e,e=e.match(/\u2228/)?e.replace(/\u2228/g,"//"):e,e},this.prepareString=function(e,t){var n,r,i,s;t&&(s=JXG.Util.Base64.decode(e),s.slice(0,2)!=="PK"&&(s=JXG.Util.Base64.decode(e,!0)),e=s);if(e.indexOf("<")!=0){r=[],i=e.length;for(n=0;n<i;n++)r[n]=JXG.Util.asciiCharCodeAt(e,n);e=(new JXG.Util.Unzip(r)).unzipFile("geogebra.xml")}return e=JXG.Util.utf8Decode(e),e=JXG.GeogebraReader.utf8replace(e),e},this.isGGBVector=function(e){return JXG.isArray(e)&&e.length==3&&e[0]==1}};
diff --git a/ajax/libs/jsxgraph/0.96/GeonextReader.min.js b/ajax/libs/jsxgraph/0.96/GeonextReader.min.js
new file mode 100644
index 000000000..48bb2846a
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/GeonextReader.min.js
@@ -0,0 +1,33 @@
+/* Version 0.96 */
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    JXG.debug=function(){},JXG.GeonextReader={changeOriginIds:function(e,t){return t=="gOOe0"||t=="gXOe0"||t=="gYOe0"||t=="gXLe0"||t=="gYLe0"?e.id+t:t},gEBTN:function(e,t,n,r){var i;return JXG.exists(e||!e.getElementsByTagName)?(JXG.exists(r)||(r=!0),n=n||0,i=e.getElementsByTagName(t),i.length>0&&(i=i[n],r&&i.firstChild&&(i=i.firstChild.data)),i):""},colorProperties:function(e,t){var n=this.gEBTN(t,"color",0,!1),r;return r=JXG.rgba2rgbo(this.gEBTN(n,"stroke")),e.strokeColor=r[0],e.strokeOpacity=r[1],r=JXG.rgba2rgbo(this.gEBTN(n,"lighting")),e.highlightStrokeColor=r[0],e.highlightStrokeOpacity=r[1],r=JXG.rgba2rgbo(this.gEBTN(n,"fill")),e.fillColor=r[0],e.fillOpacity=r[1],e.highlightFillColor=e.fillColor,e.highlightFillOpacity=e.fillOpacity,e.labelColor=JXG.rgba2rgbo(this.gEBTN(n,"label"))[0],e.colorDraft=JXG.rgba2rgbo(this.gEBTN(n,"draft"))[0],JXG.rgba2rgbo(this.gEBTN(n,"label"))[1]==0?e.withLabel=!1:e.withLabel=!0,e.colorStroke=e.strokeColor,e.colorFill=e.fillColor,e.colorLabel=e.labelColor,e},firstLevelProperties:function(e,t){if(!JXG.exists(t)||!JXG.exists(t.childNodes))return e;var n=t.childNodes,r,i;for(r=0;r<n.length;r++)JXG.exists(n[r].firstChild)&&n[r].nodeName!=="data"&&n[r].nodeName!=="straight"&&(i=n[r].nodeName,i=="width"&&(i="strokewidth"),e[i]=n[r].firstChild.data);return e},defProperties:function(e,t){return t.nodeType==3||t.nodeType==8?null:(e.ident=t.nodeName,e.ident=="text"||e.ident=="intersection"||e.ident=="composition"?e.name="":e.name=this.gEBTN(t,"name"),e.id=this.gEBTN(t,"id"),e)},visualProperties:function(e,t){return e.visible=JXG.str2Bool(this.gEBTN(t,"visible")),e.trace=JXG.str2Bool(this.gEBTN(t,"trace")),e},transformProperties:function(e,t){var n=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"],r=[2,3,4,1,2,3,4,2,3,4,2,3,4];return e.strokeWidth=e.strokewidth,e.face=n[parseInt(e.style,10)]||"cross",e.size=r[parseInt(e.style,10)]||3,e.straightFirst=JXG.str2Bool(e.straightFirst),e.straightLast=JXG.str2Bool(e.straightLast),e.visible=JXG.str2Bool(e.visible),e.draft=JXG.str2Bool(e.draft),e.trace=JXG.str2Bool(e.trace),t==="point"&&(e.fillColor=e.strokeColor,e.highlightFillColor=e.highlightStrokeColor,e.fillOpacity=e.strokeOpacity,e.highlightFillOpacity=e.highlightStrokeOpacity),typeof (e.label==="string")&&delete e.label,delete e.color,e},readNodes:function(e,t,n,r){var i=this.gEBTN(t,n,0,!1).childNodes,s,o;for(o=0;o<i.length;o++)i[o].firstChild!=null&&(r!=null?s=r+JXG.capitalize(i[o].nodeName):s=i[o].nodeName,e[s]=i[o].firstChild.data);return e},subtreeToString:function(e){try{return(new XMLSerializer).serializeToString(e)}catch(t){return e.xml}},readImage:function(e){var t="",n=e;if(n!=null){t=n.data;while(n.nextSibling!=null)n=n.nextSibling,t+=n.data}return t},parseImage:function(e,t,n,r,i,s,o,u){var a,f,l,c,h;if(t==null)return null;if(t.getElementsByTagName("src")[0]!=null)a="src";else{if(t.getElementsByTagName("image")[0]==null||this.gEBTN(t,"image")=="null")return null;a="image"}c=this.readImage(this.gEBTN(t,a,0,!1).firstChild);if(c!="")return c="data:image/png;base64,"+c,a=="src"?(r=this.gEBTN(t,"x"),i=this.gEBTN(t,"y"),s=this.gEBTN(t,"width"),o=this.gEBTN(t,"height"),l=e.create("image",[c,[r,i],[s,o]],{anchor:u,layer:n}),l):(h=new Image,h.src=c,f=u.id+"_image",h.onload=function(){var t=this.width,a=this.height,l,h,p,d,v,m;u.elementClass==JXG.OBJECT_CLASS_LINE?(l=function(){return u.point1.X()},p=function(){return u.point1.Dist(u.point2)},d=function(){return p()*a/t},h=function(){return u.point1.Y()-d()*.5},v=e.create("image",[c,[l,h],[p,d]],{layer:n,id:f,anchor:u}),m=e.create("transform",[function(){return Math.atan2(u.point2.Y()-u.point1.Y(),u.point2.X()-u.point1.X())},u.point1],{type:"rotate"}),m.bindTo(v),u.image=v):u.elementClass==JXG.OBJECT_CLASS_POINT?(p=function(){return t/e.unitX},d=function(){return a/e.unitY},l=function(){return u.X()-p()*.5},h=function(){return u.Y()-d()*.5},v=e.create("image",[c,[l,h],[p,d]],{layer:n,id:f,anchor:u}),e.renderer.hide(u.label.content),u.image=v):u.elementClass==JXG.OBJECT_CLASS_CIRCLE?(p=function(){return 2*u.Radius()},d=function(){return p()*a/t},l=function(){return u.center.X()-p()*.5},h=function(){return u.center.Y()-d()*.5},v=e.create("image",[c,[l,h],[p,d]],{layer:n,id:f,anchor:u}),u.image=v):(v=e.create("image",[c,[r,i],[s,o]],{layer:n,id:f,anchor:u}),u.image=v)},l)},readConditions:function(e){var t,n,r,i="";if(JXG.exists(e))for(t=0;t<e.getElementsByTagName("data").length;t++)r=e.getElementsByTagName("data")[t],n=this.subtreeToString(r),i+=n;return i},readViewPort:function(e){var t,n=[];return t=this.gEBTN(e,"viewport",0,!1),t?(n[0]=parseFloat(this.gEBTN(t,"left")),n[1]=parseFloat(this.gEBTN(t,"top")),n[2]=parseFloat(this.gEBTN(t,"right")),n[3]=parseFloat(this.gEBTN(t,"bottom")),n):[]},printDebugMessage:function(e,t,n,r){JXG.debug("* "+r+":  "+n+" "+t.name+" "+t.id+"<br>\n")},readGeonext:function(e,t){var n,r,i,s,o,u,a,f,l,c,h="true",p=this;t.options.layer.sector=t.options.layer.angle,t.options.layer.circle=t.options.layer.angle,t.options.line.label.position="top",u=this.gEBTN(e,"board",0,!1),l=this.readConditions(u.getElementsByTagName("conditions")[0]),t.options.takeSizeFromFile&&t.resizeContainer(this.gEBTN(u,"width"),this.gEBTN(u,"height")),n=this.gEBTN(u,"coordinates",0,!1),c=this.readViewPort(n),c.length==4?t.setBoundingBox(c,!1):(c=this.gEBTN(n,"zoom",0,!1),t.zoomX=parseFloat(this.gEBTN(c,"x")),t.zoomY=parseFloat(this.gEBTN(c,"y")),c=this.gEBTN(n,"origin",0,!1),t.origin={usrCoords:[1,0,0],scrCoords:[1,parseFloat(this.gEBTN(c,"x"))*t.zoomX,parseFloat(this.gEBTN(c,"y"))*t.zoomY]},c=this.gEBTN(n,"unit",0,!1),t.unitX=parseFloat(this.gEBTN(c,"x"))*t.zoomX,t.unitY=parseFloat(this.gEBTN(c,"y"))*t.zoomY),t.options.takeSizeFromFile&&t.resizeContainer(this.gEBTN(u,"width"),this.gEBTN(u,"height")),parseFloat(t.options.text.fontSize)>0||(t.options.text.fontSize=12),t.geonextCompatibilityMode=!0,delete JXG.JSXGraph.boards[t.id],t.id=this.gEBTN(u,"id"),JXG.JSXGraph.boards[t.id]=t,t.initGeonextBoard(),t.renderer.enhancedRendering=!0,this.parseImage(t,this.gEBTN(u,"file",0,!1),t.options.layer.image),t.options.point.snapToGrid=this.gEBTN(this.gEBTN(u,"coordinates",0,false),"snap")==h,t.options.point.snapToGrid&&this.gEBTN(this.gEBTN(u,"grid",1,false),"pointsnap")==h&&(t.options.point.snapToGrid=!1,t.options.point.snapToPoints=!0,t.options.point.attractorDistance=.5),n=this.gEBTN(u,"grid",1,!1),c=this.gEBTN(n,"x"),c&&(t.options.grid.gridX=1/parseFloat(c),t.options.point.snapSizeX=parseFloat(c)),c=this.gEBTN(n,"y"),c&&(t.options.grid.gridY=1/parseFloat(c),t.options.point.snapSizeY=parseFloat(c)),t.options.grid.gridDash=JXG.str2Bool(this.gEBTN(n,"dash")),c=JXG.rgba2rgbo(this.gEBTN(n,"color")),t.options.grid.gridColor=c[0],t.options.grid.gridOpacity=c[1],n=this.gEBTN(u,"coordinates",0,!1),this.gEBTN(n,"grid")==h&&t.create("grid",[]),this.gEBTN(n,"coord")==h&&(t.options.axis.ticks.majorHeight=10,t.options.axis.ticks.minorHeight=4,t.create("axis",[[0,0],[1,0]]),t.create("axis",[[0,0],[0,1]])),c=this.gEBTN(this.gEBTN(u,"background",0,!1),"color"),c.length==8&&(c="#"+c),t.containerObj.style.backgroundColor=JXG.rgba2rgbo(c)[0],r=e.getElementsByTagName("elements")[0].childNodes;for(i=0;i<r.length;i++)(function(e){var i,o={},u,a,f,l,c,h,d,v,m,g;s=r[e],o=p.defProperties(o,s);if(!JXG.exists(o))return;p.printDebugMessage("debug",o,s.nodeName.toLowerCase,"READ:");switch(s.nodeName.toLowerCase()){case"point":o.strokewidth=1,o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o.fixed=JXG.str2Bool(p.gEBTN(s,"fix")),o=p.transformProperties(o,"point"),d=t.create("point",[parseFloat(o.x),parseFloat(o.y)],o);var y=function(){return d.visProp.visible};h=p.parseImage(t,s,t.options.layer.image,0,0,0,0,d),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"line":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o=p.readNodes(o,s,"straight","straight"),o=p.transformProperties(o),o.first=p.changeOriginIds(t,o.first),o.last=p.changeOriginIds(t,o.last),u=t.create("line",[o.first,o.last],o),p.parseImage(t,s,t.options.layer.image,0,0,0,0,u),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"circle":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),g=p.gEBTN(s,"data",0,!1),o.center=p.changeOriginIds(t,p.gEBTN(g,"midpoint")),g.getElementsByTagName("radius").length>0?o.radius=p.changeOriginIds(t,p.gEBTN(g,"radius")):g.getElementsByTagName("radiusvalue").length>0&&(o.radius=p.gEBTN(g,"radiusvalue")),o=p.transformProperties(o),l=t.create("circle",[o.center,o.radius],o),p.parseImage(t,s,t.options.layer.image,0,0,0,0,l),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"slider":o.strokewidth=1,o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o.fixed=JXG.str2Bool(p.gEBTN(s,"fix")),o=p.readNodes(o,s,"animate","animate"),o=p.transformProperties(o,"point");try{o.parent=p.changeOriginIds(t,o.parent),d=t.create("glider",[parseFloat(o.x),parseFloat(o.y),o.parent],o),d.onPolygon=JXG.exists(o.onpolygon)&&JXG.str2Bool(o.onpolygon),p.parseImage(t,s,t.options.layer.point,0,0,0,0,d),p.printDebugMessage("debug",o,s.nodeName,"OK")}catch(b){JXG.debug("* <b>Err:</b>  Slider "+o.name+" "+o.id+": "+o.parent+"<br>\n")}break;case"cas":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o.fixed=JXG.str2Bool(s.getElementsByTagName("fix")[0].firstChild.data),o=p.readNodes(o,s,"data"),o=p.transformProperties(o,"point"),o.x=JXG.GeonextParser.geonext2JS(o.x,t),o.x=new Function("return "+o.x+";"),o.y=JXG.GeonextParser.geonext2JS(o.y,t),o.y=new Function("return "+o.y+";"),d=t.create("point",[o.x,o.y],o),p.parseImage(t,s,t.options.layer.point,0,0,0,0,d),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"intersection":o.strokewidth=1,o=p.readNodes(o,s,"data"),n=s.getElementsByTagName("first")[1],o.outFirst={},o.outFirst=p.colorProperties(o.outFirst,n),o.outFirst=p.visualProperties(o.outFirst,n),o.outFirst=p.firstLevelProperties(o.outFirst,n),o.outFirst.fixed=JXG.str2Bool(n.getElementsByTagName("fix")[0].firstChild.data),o.outFirst=p.transformProperties(o.outFirst,"point"),o.first=p.changeOriginIds(t,o.first),o.last=p.changeOriginIds(t,o.last),JXG.getReference(t,o.first).elementClass==JXG.OBJECT_CLASS_LINE&&JXG.getReference(t,o.last).elementClass==JXG.OBJECT_CLASS_LINE?(v=t.create("intersection",[t.objects[o.first],t.objects[o.last],0],o.outFirst),o.outFirst.visible=="false"&&v.hideElement()):(n=s.getElementsByTagName("last")[1],JXG.exists(n)&&(o.outLast={},o.outLast=p.colorProperties(o.outLast,n),o.outLast=p.visualProperties(o.outLast,n),o.outLast=p.firstLevelProperties(o.outLast,n),o.outLast.fixed=JXG.str2Bool(n.getElementsByTagName("fix")[0].firstChild.data),o.outLast=p.transformProperties(o.outLast,"point"),v=t.create("intersection",[t.objects[o.first],t.objects[o.last],0],o.outFirst),v=t.create("intersection",[t.objects[o.first],t.objects[o.last],1],o.outLast))),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"composition":o=p.readNodes(o,s,"data"),o=p.firstLevelProperties(o,s),o.defEl=[],c=0,n=s.getElementsByTagName("data")[0].getElementsByTagName("input");for(i=0;i<n.length;i++)o.defEl[i]=n[i].firstChild.data,c=i+1;n=s.getElementsByTagName("output")[0],o.out={},o.out=p.colorProperties(o.out,n),o.out=p.visualProperties(o.out,n),o.out=p.firstLevelProperties(o.out,n),o.out=p.transformProperties(o.out),o.defEl[0]=p.changeOriginIds(t,o.defEl[0]),o.defEl[1]=p.changeOriginIds(t,o.defEl[1]),o.defEl[2]=p.changeOriginIds(t,o.defEl[2]);switch(o.type){case"210070":o.out.fixed=p.gEBTN(n,"fix"),n=s.getElementsByTagName("output")[1],o.outPoint={},o.outPoint=p.defProperties(o.outPoint,n),o.outPoint=p.colorProperties(o.outPoint,n),o.outPoint=p.visualProperties(o.outPoint,n),o.outPoint=p.firstLevelProperties(o.outPoint,n),o.outPoint=p.transformProperties(o.outPoint),o.out.point=o.outPoint,t.create("arrowparallel",[o.defEl[1],o.defEl[0]],o.out);break;case"210080":o.out.straightFirst=!1,t.create("bisector",[o.defEl[0],o.defEl[1],o.defEl[2]],o.out);break;case"210090":n=s.getElementsByTagName("output")[1],o.outCircle={},o.outCircle=p.defProperties(o.outCircle,n),o.outCircle=p.colorProperties(o.outCircle,n),o.outCircle=p.visualProperties(o.outCircle,n),o.outCircle=p.firstLevelProperties(o.outCircle,n),o.outCircle=p.transformProperties(o.outCircle),o.outCircle.point=o.out,t.create("circumcircle",[o.defEl[0],o.defEl[1],o.defEl[2]],o.outCircle);break;case"210100":t.create("circumcenter",[o.defEl[0],o.defEl[1],o.defEl[2]],o.out);break;case"210110":t.create("midpoint",o.defEl.slice(0,c),o.out);break;case"210120":t.create("reflection",[o.defEl[1],o.defEl[0]],o.out);break;case"210125":t.create("mirrorpoint",[o.defEl[0],o.defEl[1]],o.out);break;case"210130":t.create("perpendicularsegment",[o.defEl[0],o.defEl[1]],o.out);break;case"210140":d=t.create("parallelpoint",[o.defEl[1],o.defEl[0]],{withLabel:!1,visible:!1,name:"",fixed:!0}),h=t.create("line",[o.defEl[0],d],o.out),h.parallelpoint=d;break;case"210150":t.create("parallelpoint",o.defEl.slice(0,c),o.out);break;case"210160":o.out.fixed=p.gEBTN(n,"fix"),n=s.getElementsByTagName("output")[1],o.outLine={},o.outLine=p.defProperties(o.outLine,n),o.outLine=p.colorProperties(o.outLine,n),o.outLine=p.visualProperties(o.outLine,n),o.outLine=p.firstLevelProperties(o.outLine,n),o.outLine=p.readNodes(o.outLine,n,"straight","straight"),o.outLine=p.transformProperties(o.outLine),o.outLine.point=o.out,t.create("perpendicularsegment",[o.defEl[1],o.defEl[0]],o.outLine);break;case"210170":t.create("perpendicularpoint",[o.defEl[1],o.defEl[0]],o.out);break;case"210180":throw new Error("JSXGraph: Element ROTATION not yet implemented.");case"210190":o.out=p.defProperties(o.out,n),o.out.firstArrow=JXG.str2Bool(p.gEBTN(n,"firstarrow")),o.out.lastArrow=JXG.str2Bool(p.gEBTN(n,"lastarrow"));for(i=0;i<4;i++)n=s.getElementsByTagName("output")[i],o.out=p.defProperties(o.out,n),o.out=p.colorProperties(o.out,n),o.out=p.visualProperties(o.out,n),o.out=p.firstLevelProperties(o.out,n),o.out=p.transformProperties(o.out),i==0?h=t.create("sector",o.defEl,o.out):i==1?d=t.create("point",[function(){var e=JXG.getRef(t,o.defEl[1]),n=JXG.getRef(t,o.defEl[2]);return e.X()+(n.X()-e.X())*h.Radius/e.Dist(n)},function(){var e=JXG.getRef(t,o.defEl[1]),n=JXG.getRef(t,o.defEl[2]);return e.Y()+(n.Y()-e.Y())*h.Radius/e.Dist(n)}],o.out):i==2?h=t.create("segment",[o.defEl[0],o.defEl[1]],o.out):i==3&&(h=t.create("segment",[o.defEl[1],d],o.out));break;default:throw new Error("JSXGraph: GEONExT-Element "+o.type+" not implemented.")}p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"polygon":o=p.colorProperties(o,s),o=p.firstLevelProperties(o,s);var w=[];for(i=0;i<s.getElementsByTagName("data")[0].getElementsByTagName("vertex").length-1;i++)w[i]=s.getElementsByTagName("data")[0].getElementsByTagName("vertex")[i].firstChild.data,w[i]=p.changeOriginIds(t,w[i]);o.border=[],o.borders={ids:[]};for(i=0;i<s.getElementsByTagName("border").length;i++){o.border[i]={},n=s.getElementsByTagName("border")[i],o.border[i].id=n.getElementsByTagName("id")[0].firstChild.data,o.borders.ids.push(o.border[i].id),o.border[i].name=n.getElementsByTagName("name")[0].firstChild.data,o.border[i].straightFirst=JXG.str2Bool(n.getElementsByTagName("straight")[0].getElementsByTagName("first")[0].firstChild.data),o.border[i].straightLast=JXG.str2Bool(n.getElementsByTagName("straight")[0].getElementsByTagName("last")[0].firstChild.data);try{o.border[i].strokeWidth=n.getElementsByTagName("strokewidth")[0].firstChild.data}catch(b){o.border[i].strokeWidth=n.getElementsByTagName("width")[0].firstChild.data}try{o.border[i].dash=JXG.str2Bool(n.getElementsByTagName("dash")[0].firstChild.data)}catch(b){}o.border[i].visible=JXG.str2Bool(n.getElementsByTagName("visible")[0].firstChild.data),o.border[i].draft=JXG.str2Bool(n.getElementsByTagName("draft")[0].firstChild.data),o.border[i].trace=JXG.str2Bool(n.getElementsByTagName("trace")[0].firstChild.data),n=s.getElementsByTagName("border")[i].getElementsByTagName("color")[0],m=JXG.rgba2rgbo(n.getElementsByTagName("stroke")[0].firstChild.data),o.border[i].strokeColor=m[0],o.border[i].strokeOpacity=m[1],m=JXG.rgba2rgbo(n.getElementsByTagName("lighting")[0].firstChild.data),o.border[i].highlightStrokeColor=m[0],o.border[i].highlightStrokeOpacity=m[1],m=JXG.rgba2rgbo(n.getElementsByTagName("fill")[0].firstChild.data),o.border[i].fillColor=m[0],o.border[i].fillOpacity=m[1],o.border[i].highlightFillColor=o.border[i].fillColor,o.border[i].highlightFillOpacity=o.border[i].fillOpacity,o.border[i].labelColor=n.getElementsByTagName("label")[0].firstChild.data,o.border[i].colorDraft=n.getElementsByTagName("draft")[0].firstChild.data}o=p.transformProperties(o),d=t.create("polygon",w,o);for(i=0;i<d.borders.length;i++)d.borders[i].setProperty(o.border[i]);p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"graph":o=p.colorProperties(o,s),o=p.firstLevelProperties(o,s),o.funct=s.getElementsByTagName("data")[0].getElementsByTagName("function")[0].firstChild.data,o.funct=JXG.GeonextParser.geonext2JS(o.funct,t),o.funct=new Function("x","return "+o.funct+";"),l=t.create("curve",["x",o.funct],{id:o.id,name:o.name,strokeColor:o.strokeColor,strokeWidth:o.strokeWidth,fillColor:"none",highlightFillColor:"none",highlightStrokeColor:o.highlightStrokeColor,visible:JXG.str2Bool(o.visible)}),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"arrow":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o=p.readNodes(o,s,"straight","straight"),o=p.transformProperties(o),o.first=p.changeOriginIds(t,o.first),o.last=p.changeOriginIds(t,o.last),u=t.create("arrow",[o.first,o.last],o),p.printDebugMessage("debug",u,s.nodeName,"OK");break;case"arc":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o.firstArrow=JXG.str2Bool(s.getElementsByTagName("lastarrow")[0].firstChild.data),o.lastArrow=JXG.str2Bool(s.getElementsByTagName("firstarrow")[0].firstChild.data),o=p.transformProperties(o),o.center=p.changeOriginIds(t,o.midpoint),o.angle=p.changeOriginIds(t,o.angle),o.radius=p.changeOriginIds(t,o.radius),l=t.create("arc",[o.center,o.radius,o.angle],o),p.printDebugMessage("debug",l,s.nodeName,"OK");break;case"angle":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data"),o=p.transformProperties(o),g=o.name;try{o.name=s.getElementsByTagName("text")[0].firstChild.data}catch(b){o.name=""}l=t.create("angle",[o.first,o.middle,o.last],o),l.setProperty({name:g}),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"text":if(o.id.match(/oldVersion/))break;o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.readNodes(o,s,"data");try{o.mpStr=p.subtreeToString(s.getElementsByTagName("data")[0].getElementsByTagName("mp")[0]),o.mpStr=o.mpStr.replace(/<\/?mp>/g,"")}catch(b){o.mpStr=p.subtreeToString(s.getElementsByTagName("data")[0].getElementsByTagName("content")[0]),o.mpStr=o.mpStr.replace(/<\/?content>/g,"")}o.fixed=!1;try{s.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild&&(o.parent=s.getElementsByTagName("data")[0].getElementsByTagName("parent")[0].firstChild.data,o.fixed=!0)}catch(b){}try{o.condition=s.getElementsByTagName("condition")[0].firstChild.data}catch(b){o.condition=""}o.content=s.getElementsByTagName("content")[0].firstChild.data;try{o.fixed=s.getElementsByTagName("fix")[0].firstChild.data}catch(b){o.fixed=!1}try{o.autodigits=s.getElementsByTagName("digits")[0].firstChild.data}catch(b){o.autodigits=2}o.parent=p.changeOriginIds(t,o.parent),l=t.create("text",[o.x,o.y,o.mpStr],{anchor:o.parent,id:o.id,name:o.name,digits:o.autodigits,isLabel:!1,strokeColor:o.colorLabel,fixed:o.fixed,visible:JXG.str2Bool(o.visible)});break;case"parametercurve":o=p.colorProperties(o,s),o=p.visualProperties(o,s),o=p.firstLevelProperties(o,s),o=p.transformProperties(o),o.functionx=s.getElementsByTagName("functionx")[0].firstChild.data,o.functiony=s.getElementsByTagName("functiony")[0].firstChild.data,o.min=s.getElementsByTagName("min")[0].firstChild.data,o.max=s.getElementsByTagName("max")[0].firstChild.data,o.fillColor="none",o.highlightFillColor="none",t.create("curve",[new Function("t","return "+JXG.GeonextParser.geonext2JS(o.functionx,t)+";"),new Function("t","return "+JXG.GeonextParser.geonext2JS(o.functiony,t)+";"),new Function("return "+JXG.GeonextParser.geonext2JS(o.min,t)+";"),new Function("return "+JXG.GeonextParser.geonext2JS(o.max,t)+";")],o),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"tracecurve":o.tracepoint=s.getElementsByTagName("tracepoint")[0].firstChild.data,o.traceslider=s.getElementsByTagName("traceslider")[0].firstChild.data,t.create("tracecurve",[o.traceslider,o.tracepoint],o),p.printDebugMessage("debug",o,s.nodeName,"OK");break;case"group":o=p.colorProperties(o,s),o=p.firstLevelProperties(o,s),o.members=[];for(i=0;i<s.getElementsByTagName("data")[0].getElementsByTagName("member").length;i++)o.members[i]=s.getElementsByTagName("data")[0].getElementsByTagName("member")[i].firstChild.data,o.members[i]=p.changeOriginIds(t,o.members[i]);l=new JXG.Group(t,o.id,o.name,o.members),p.printDebugMessage("debug",o,s.nodeName,"OK");break;default:JXG.debug("* <b>Err:</b> "+s.nodeName+" not yet implemented <br>\n")}delete o})(i);t.addConditions(l)},decodeString:function(e){var t;return e.indexOf("<GEONEXT>")<0?(t=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(e))).unzip(),t==""?e:t):e},prepareString:function(e){try{e.indexOf("GEONEXT")<0&&(e=this.decodeString(e)[0][0]),e=this.fixXML(e)}catch(t){e=""}return e},fixXML:function(e){var t=["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","tracepoint","traceslider","type","unit","value","VERSION","vertex","viewport","visible","width","wot","x","xooy","xval","y","yval","zoom"],n=t.join("|"),r="&lt;(/?("+n+"))&gt;",i=new RegExp(r,"g");return e=JXG.escapeHTML(e),e=e.replace(i,"<$1>"),e=e.replace(/(<content>.*)<arc>(.*<\/content>)/g,"$1&lt;arc&gt;$2"),e=e.replace(/(<mp>.*)<arc>(.*<\/mpx>)/g,"$1&lt;arc&gt;$2"),e=e.replace(/(<mpx>.*)<arc>(.*<\/mpx>)/g,"$1&lt;arc&gt;$2"),e}};
diff --git a/ajax/libs/jsxgraph/0.96/IntergeoReader.min.js b/ajax/libs/jsxgraph/0.96/IntergeoReader.min.js
new file mode 100644
index 000000000..a1a026187
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/IntergeoReader.min.js
@@ -0,0 +1,33 @@
+/* Version 0.96 */
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    JXG.IntergeoReader=new function(){this.board=null,this.objects={},this.readIntergeo=function(e,t){this.board=t,this.board.origin={},this.board.origin.usrCoords=[1,0,0],this.board.origin.scrCoords=[1,400,300],this.board.unitX=30,this.board.unitY=30,this.readElements(e.getElementsByTagName("elements")),this.readConstraints(e.getElementsByTagName("constraints")),this.cleanUp(),this.board.fullUpdate(),this.readDisplay(e.getElementsByTagName("display")),this.board.fullUpdate()},this.readElements=function(e){var t;for(var t=0;t<e[0].childNodes.length;t++)(function(t){var n;n=e[0].childNodes[t];if(n.nodeType>1)return;n.nodeName=="point"?JXG.IntergeoReader.storePoint(n):n.nodeName=="line"||n.nodeName=="line_segment"||n.nodeName=="ray"||n.nodeName=="vector"?JXG.IntergeoReader.storeLine(n):n.nodeName=="circle"?JXG.IntergeoReader.storeConic(n):n.nodeName=="conic"?JXG.IntergeoReader.storeConic(n):n.nodeName!="polygon"&&JXG.debug("Not implemented: "+n.nodeName+" "+n.getAttribute("id"))})(t)},this.addPointOld=function(e){var t=0,n=0,r=0,i,s=e.childNodes[t],o=[],u={strokeColor:"red",fillColor:"red",withLabel:!0},a=[];while(s.nodeType>1)t++,s=e.childNodes[t];u.name=e.getAttribute("id");if(s.nodeName=="homogeneous_coordinates"){for(n=0;n<s.childNodes.length;n++)if(s.childNodes[n].nodeType==1)if(s.childNodes[n].nodeName=="double")o.push(s.childNodes[n].firstChild.data);else{if(s.childNodes[n].nodeName!="complex"){JXG.debug("Not implemented: "+s.childNodes[n].nodeName);return}for(r=0;r<s.childNodes[n].childNodes.length;r++)s.childNodes[n].childNodes[r].nodeName=="double"&&o.push(s.childNodes[n].childNodes[r].firstChild.data)}for(n=0;n<o.length;n++)o[n]=parseFloat(o[n]);if(o.length==3)a=[o[2],o[0],o[1]];else{if(!(o.length==6&&Math.abs(o[1])<1e-10&&Math.abs(o[3])<1e-10&&Math.abs(o[5])<1e-10)){JXG.debug("type not supported, yet");return}a=[o[4],o[0],o[2]]}}else if(s.nodeName=="euclidean_coordinates"){for(n=0;n<s.childNodes.length;n++)s.childNodes[n].nodeType==1&&o.push(s.childNodes[n].firstChild.data);for(n=0;n<o.length;n++)o[n]=parseFloat(o[n]);a=[o[0],o[1]]}else{if(s.nodeName!="polar_coordinates"){JXG.debug("This coordinate type is not yet implemented: "+s.nodeName);return}for(n=0;n<s.childNodes.length;n++)s.childNodes[n].nodeType==1&&o.push(s.childNodes[n].firstChild.data);for(n=0;n<o.length;n++)o[n]=parseFloat(o[n]);a=[o[0]*Math.cos(o[1]),o[0]*Math.sin(o[1])]}i=this.board.create("point",a,u),this.objects[e.getAttribute("id")]=i},this.storePoint=function(e){var t=0,n=0,r=0,i=e.childNodes[t],s=[],o=[];while(i.nodeType>1)t++,i=e.childNodes[t];if(i.nodeName=="homogeneous_coordinates"){for(n=0;n<i.childNodes.length;n++)if(i.childNodes[n].nodeType==1)if(i.childNodes[n].nodeName=="double")s.push(i.childNodes[n].firstChild.data);else{if(i.childNodes[n].nodeName!="complex"){JXG.debug("Not implemented: "+i.childNodes[n].nodeName);return}for(r=0;r<i.childNodes[n].childNodes.length;r++)i.childNodes[n].childNodes[r].nodeName=="double"&&s.push(i.childNodes[n].childNodes[r].firstChild.data)}for(n=0;n<s.length;n++)s[n]=parseFloat(s[n]);if(s.length==3)o=[s[2],s[0],s[1]];else{if(!(s.length==6&&Math.abs(s[1])<1e-10&&Math.abs(s[3])<1e-10&&Math.abs(s[5])<1e-10)){JXG.debug("type not supported, yet");return}o=[s[4],s[0],s[2]]}}else if(i.nodeName=="euclidean_coordinates"||i.nodeName=="euclidian_coordinates"){for(n=0;n<i.childNodes.length;n++)i.childNodes[n].nodeType==1&&s.push(i.childNodes[n].firstChild.data);for(n=0;n<s.length;n++)s[n]=parseFloat(s[n]);o=[s[0],s[1]]}else{if(i.nodeName!="polar_coordinates"){JXG.debug("This coordinate type is not yet implemented: "+i.nodeName);return}for(n=0;n<i.childNodes.length;n++)i.childNodes[n].nodeType==1&&s.push(i.childNodes[n].firstChild.data);for(n=0;n<s.length;n++)s[n]=parseFloat(s[n]);o=[s[0]*Math.cos(s[1]),s[0]*Math.sin(s[1])]}this.objects[e.getAttribute("id")]={id:e.getAttribute("id"),coords:null},this.objects[e.getAttribute("id")].coords=o,this.objects[e.getAttribute("id")].id=e.getAttribute("id"),this.objects[e.getAttribute("id")].exists=!1,this.objects[e.getAttribute("id")].i2geoType="point"},this.storeLine=function(e){var t,n,r,i;this.objects[e.getAttribute("id")]={id:e.getAttribute("id"),coords:null},t=0,n=e.childNodes[t];while(n.nodeType>1)t++,n=e.childNodes[t];if(n.nodeName=="homogeneous_coordinates"){r=[];for(i=0;i<n.childNodes.length;i++)n.childNodes[i].nodeType==1&&n.childNodes[i].nodeName=="double"&&r.push(parseFloat(n.childNodes[i].firstChild.data));this.objects[e.getAttribute("id")].coords=r,this.objects[e.getAttribute("id")].id=e.getAttribute("id"),this.objects[e.getAttribute("id")].exists=!1,this.objects[e.getAttribute("id")].i2geoType="line"}},this.storeConic=function(e){var t,n,r,i;this.objects[e.getAttribute("id")]={id:e.getAttribute("id"),coords:null},t=0,r=e.childNodes[t];while(r.nodeType>1)t++,r=e.childNodes[t];if(r.nodeName=="matrix"){i=[];for(n=0;n<r.childNodes.length;n++)r.childNodes[n].nodeType==1&&r.childNodes[n].nodeName=="double"&&i.push(parseFloat(r.childNodes[n].firstChild.data));this.objects[e.getAttribute("id")].coords=i,this.objects[e.getAttribute("id")].id=e.getAttribute("id"),this.objects[e.getAttribute("id")].exists=!1,this.objects[e.getAttribute("id")].i2geoType="conic"}},this.readConstraints=function(e){var t,n;this.board.options.point.strokeColor="blue",this.board.options.point.fillColor="blue";for(t=0;t<e[0].childNodes.length;t++)(function(t){var r;r=e[0].childNodes[t];if(r.nodeType>1)return;r.nodeName=="line_through_two_points"?JXG.IntergeoReader.addLineThroughTwoPoints(r,!1):r.nodeName=="ray_from_point_through_point"?JXG.IntergeoReader.addLineThroughTwoPoints(r,!0):r.nodeName=="line_through_point"?JXG.IntergeoReader.addLineThroughPoint(r):r.nodeName=="line_parallel_to_line_through_point"?JXG.IntergeoReader.addLineParallelToLineThroughPoint(r,!1):r.nodeName=="ray_from_point_and_vector"?JXG.IntergeoReader.addLineParallelToLineThroughPoint(r,!0):r.nodeName=="line_perpendicular_to_line_through_point"?JXG.IntergeoReader.addLinePerpendicularToLineThroughPoint(r):r.nodeName=="line_segment_by_points"?JXG.IntergeoReader.addLineSegmentByTwoPoints(r):r.nodeName=="vector_from_point_to_point"?JXG.IntergeoReader.addVectorFromPointToPoint(r):r.nodeName=="endpoints_of_line_segment"?JXG.IntergeoReader.addEndpointsOfLineSegment(r):r.nodeName!="free_point"&&(r.nodeName=="free_line"?JXG.IntergeoReader.addFreeLine(r):r.nodeName=="point_on_line"?JXG.IntergeoReader.addPointOnLine(r):r.nodeName=="point_on_line_segment"?JXG.IntergeoReader.addPointOnLine(r):r.nodeName=="point_on_circle"?JXG.IntergeoReader.addPointOnCircle(r):r.nodeName=="angular_bisector_of_three_points"?JXG.IntergeoReader.addAngularBisectorOfThreePoints(r,!1):r.nodeName=="angular_bisectors_of_two_lines"?JXG.IntergeoReader.addAngularBisectorsOfTwoLines(r,!1):r.nodeName=="line_angular_bisector_of_three_points"?JXG.IntergeoReader.addAngularBisectorOfThreePoints(r,!0):r.nodeName=="line_angular_bisectors_of_two_lines"?JXG.IntergeoReader.addAngularBisectorsOfTwoLines(r,!0):r.nodeName=="midpoint_of_two_points"?JXG.IntergeoReader.addMidpointOfTwoPoints(r):r.nodeName=="midpoint"?JXG.IntergeoReader.addMidpointOfTwoPoints(r):r.nodeName=="midpoint_of_line_segment"||r.nodeName=="midpoint_line_segment"?JXG.IntergeoReader.addMidpointOfLineSegment(r):r.nodeName=="point_intersection_of_two_lines"?JXG.IntergeoReader.addPointIntersectionOfTwoLines(r):r.nodeName=="locus_defined_by_point"?JXG.IntergeoReader.addLocusDefinedByPoint(r):r.nodeName=="locus_defined_by_point_on_line"?JXG.IntergeoReader.addLocusDefinedByPointOnLine(r):r.nodeName=="locus_defined_by_point_on_line_segment"?JXG.IntergeoReader.addLocusDefinedByPointOnLine(r):r.nodeName=="locus_defined_by_line_through_point"?JXG.IntergeoReader.addLocusDefinedByLineThroughPoint(r):r.nodeName=="locus_defined_by_point_on_circle"?JXG.IntergeoReader.addLocusDefinedByPointOnCircle(r):r.nodeName=="circle_by_three_points"?JXG.IntergeoReader.addCircleByThreePoints(r):r.nodeName=="circle_by_center_and_point"?JXG.IntergeoReader.addCircleByCenterAndPoint(r):r.nodeName=="center_of_circle"?JXG.IntergeoReader.addCenterOfCircle(r):r.nodeName=="intersection_points_of_two_circles"?JXG.IntergeoReader.addIntersectionPointsOfTwoCircles(r):r.nodeName=="intersection_points_of_circle_and_line"?JXG.IntergeoReader.addIntersectionPointsOfCircleAndLine(r):r.nodeName=="other_intersection_point_of_two_circles"?JXG.IntergeoReader.addOtherIntersectionPointOfTwoCircles(r):r.nodeName=="other_intersection_point_of_circle_and_line"?JXG.IntergeoReader.addOtherIntersectionPointOfCircleAndLine(r):r.nodeName=="circle_tangent_lines_by_point"?JXG.IntergeoReader.addCircleTangentLinesByPoint(r):r.nodeName=="polygon_by_vertices"?JXG.IntergeoReader.addPolygonByVertices(r):(n=JXG.IntergeoReader.readParams(r),JXG.debug("readConstraints: not implemented: "+r.nodeName+": "+n[0])))})(t)},this.setAttributes=function(e){e.setProperty({strokecolor:this.board.options.point.strokeColor,fillColor:this.board.options.point.fillColor})},this.readParams=function(e){var t=[],n;for(n=0;n<e.childNodes.length;n++)e.childNodes[n].nodeType==1&&t.push(e.childNodes[n].firstChild.data);return t},this.addPoint=function(e){return e.exists||(e.exists=!0,e=this.board.create("point",e.coords,{name:e.id}),e.setProperty({strokecolor:"red",fillColor:"red"})),e},this.addLine=function(e){var t,n=this.objects[e].coords,r;for(t=0;t<n.length;t++)n[t]=parseFloat(n[t]);r=this.board.create("line",[n[2],n[0],n[1]],{name:e,strokeColor:"black",withLabel:!0}),this.objects[e]=r},this.addConic=function(e){var t;return e.exists||(t=e.coords,e=this.board.create("conic",[t[0],t[4],t[8],t[1],t[5],t[2]],{name:e.id}),e.exists=!0),e},this.cleanUp=function(){var e;for(e in this.objects)this.objects[e].exists==0&&(this.objects[e].i2geoType=="point"?this.addPoint(this.objects[e]):this.objects[e].i2geoType=="line"?this.addLine(this.objects[e]):this.objects[e].i2geoType=="conic"?this.addConic(this.objects[e]):JXG.debug("forgotten: "+this.objects[e].id+" of type "+this.objects[e].i2geoType))},this.addLineThroughTwoPoints=function(e,t){var n=JXG.IntergeoReader.readParams(e),r,i,s;r=this.addPoint(this.objects[n[1]]),i=this.addPoint(this.objects[n[2]]),s=this.board.create("line",[r.id,i.id],{name:n[0],withLabel:!0,straightFirst:!t,straightLast:!0}),this.objects[n[0]]=s,this.objects[n[0]].exists=!0},this.addLineThroughPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n,r=this.objects[t[0]].coords,i=this.addPoint(this.objects[t[1]]),s;for(n=0;n<r.length;n++)r[n]=parseFloat(r[n]);s=this.board.create("line",[function(){return r[2]-r[0]*i.X()-r[1]*i.Y()-r[2]*i.Z()},r[0],r[1]],{name:t[0],strokeColor:"black",withLabel:!0}),this.objects[t[0]]=s,this.objects[t[0]].exists=!0},this.addLineParallelToLineThroughPoint=function(e,t){var n=JXG.IntergeoReader.readParams(e),r,i,s;r=this.addPoint(this.objects[n[1]]),i=this.addPoint(this.objects[n[2]]),s=this.board.create("parallel",[r.id,i.id],{name:n[0],withLabel:!0,straightFirst:!t,straightLast:!0}),this.objects[n[0]]=s,this.objects[n[0]].exists=!0},this.addLinePerpendicularToLineThroughPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n,r,i;n=this.addPoint(this.objects[t[1]]),r=this.addPoint(this.objects[t[2]]),i=this.board.create("perpendicular",[n.id,r.id],{name:t[0],id:t[0],straightFirst:!0,straightLast:!0,point:{name:t[0]+"foot",id:t[0]+"foot"},withLabel:!0}),this.objects[t[0]]=i,this.objects[t[0]].exists=!0},this.addLineSegmentByTwoPoints=function(e){var t=JXG.IntergeoReader.readParams(e),n,r,i;n=this.addPoint(this.objects[t[1]]),r=this.addPoint(this.objects[t[2]]),i=this.board.create("line",[n.id,r.id],{name:t[0],straightFirst:!1,straightLast:!1,strokeColor:"black",withLabel:!0}),this.objects[t[0]]=i,this.objects[t[0]].exists=!0},this.addPointIntersectionOfTwoLines=function(e){var t=JXG.IntergeoReader.readParams(e),n=this.objects[t[1]],r=this.objects[t[2]];this.objects[t[0]]=this.board.create("intersection",[n,r,0],{name:t[0],id:t[0],withLabel:!0}),this.setAttributes(this.objects[t[0]]),this.objects[t[0]].exists=!0},this.addFreeLine=function(e){var t=JXG.IntergeoReader.readParams(e),n=this.objects[t[0]].coords[0],r=this.objects[t[0]].coords[1],i=this.objects[t[0]].coords[2],s=this.board.create("line",[i,n,r],{name:t[0],id:t[0],withLabel:!0});this.objects[t[0]]=s,this.objects[t[0]].exists=!0},this.addPointOnLine=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]),r;r=this.board.create("glider",[0,0,n],{name:t[0],id:t[0],withLabel:!0}),this.objects[t[0]].exists=!0},this.addPointOnCircle=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]),r;n.update(),r=this.board.create("glider",[this.objects[t[0]].coords[1],this.objects[t[0]].coords[2],n],{name:t[0],id:t[0],withLabel:!0}),this.objects[t[0]].exists=!0},this.addEndpointsOfLineSegment=function(e){var t=JXG.IntergeoReader.readParams(e),n=this.objects[t[2]],r=this.addPoint(this.objects[t[0]]),i=this.addPoint(this.objects[t[1]]);r.addConstraint([function(){return n.point1.Z()},function(){return n.point1.X()},function(){return n.point1.Y()}]),i.addConstraint([function(){return n.point2.Z()},function(){return n.point2.X()},function(){return n.point2.Y()}]),this.setAttributes(r),this.setAttributes(i)},this.addAngularBisectorOfThreePoints=function(e,t){var n=JXG.IntergeoReader.readParams(e),r,i,s,o;r=this.addPoint(this.objects[n[1]]),i=this.addPoint(this.objects[n[2]]),s=this.addPoint(this.objects[n[3]]),o=this.board.create("bisector",[r.id,i.id,s.id],{name:n[0],id:n[0],withLabel:!0,straightFirst:t,straightLast:!0,strokeColor:"#000000"}),this.objects[n[0]]=o,this.objects[n[0]].exists=!0},this.addMidpointOfTwoPoints=function(e){var t=JXG.IntergeoReader.readParams(e),n,r,i;n=this.addPoint(this.objects[t[1]]),r=this.addPoint(this.objects[t[2]]),i=this.board.create("midpoint",[n.id,r.id],{name:t[0]}),this.setAttributes(i),this.objects[t[0]].exists=!0},this.addMidpointOfLineSegment=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]);el=this.board.create("midpoint",[n.point1,n.point2],{name:t[0]}),this.setAttributes(el),this.objects[t[0]].exists=!0},this.addCircleByThreePoints=function(e){var t=JXG.IntergeoReader.readParams(e),n=[],r,i;for(r=0;r<3;r++)n[r]=this.addPoint(this.objects[t[r+1]]);i=this.board.create("circumcircle",n,{name:t[0],id:t[0],point:{name:t[0]+"c",id:t[0]+"c"},withLabel:!0}),this.objects[t[0]].exists=!0},this.addCenterOfCircle=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]),r=this.board.create("point",[function(){return n.center.X()},function(){return n.center.Y()}],{name:t[0],id:t[0],withLabel:!0});this.setAttributes(r),this.objects[t[0]].exists=!0},this.addCircleTangentLinesByPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[2]),r=this.addPoint(this.objects[t[3]]),i,s,o,u,a,f;s=this.board.create("line",[function(){return JXG.Math.matVecMult(n.quadraticform,r.coords.usrCoords)[0]},function(){return JXG.Math.matVecMult(n.quadraticform,r.coords.usrCoords)[1]},function(){return JXG.Math.matVecMult(n.quadraticform,r.coords.usrCoords)[2]}],{visible:!1}),o=this.board.create("intersection",[n,s,0],{visible:!1}),u=this.board.create("intersection",[n,s,1],{visible:!1}),a=this.board.create("tangent",[o,n]),f=this.board.create("tangent",[u,n]),this.objects[t[0]]=a,this.objects[t[1]]=f,this.objects[t[0]].exists=!0,this.objects[t[1]].exists=!0},this.addIntersectionPointsOfTwoCircles=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[2]),r=JXG.getReference(this.board,t[3]),i,s;i=this.board.create("intersection",[n,r,0],{name:t[0],id:t[0],withLabel:!0}),s=this.board.create("intersection",[n,r,1],{name:t[1],id:t[1],withLabel:!0}),this.setAttributes(i),this.setAttributes(s),this.objects[t[0]].exists=!0,this.objects[t[1]].exists=!0},this.addIntersectionPointsOfCircleAndLine=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[2]),r=JXG.getReference(this.board,t[3]),i,s;i=this.board.create("intersection",[n,r,0],{name:t[0],id:t[0],withLabel:!0}),s=this.board.create("intersection",[n,r,1],{name:t[1],id:t[1],withLabel:!0}),this.setAttributes(i),this.setAttributes(s),this.objects[t[0]].exists=!0,this.objects[t[1]].exists=!0},this.addCircleByCenterAndPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n=this.addPoint(this.objects[t[1]]),r=this.addPoint(this.objects[t[2]]);el=this.board.create("circle",[n.id,r.id],{name:t[0],id:t[0],withLabel:!0}),this.objects[t[0]].exists=!0},this.addOtherIntersectionPointOfTwoCircles=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[2]),r=JXG.getReference(this.board,t[3]),i=JXG.getReference(this.board,t[1]),s;s=this.board.create("otherintersection",[n,r,i],{name:t[0],id:t[0],withLabel:!0}),this.setAttributes(s),this.objects[t[0]].exists=!0},this.addOtherIntersectionPointOfCircleAndLine=function(e){this.addOtherIntersectionPointOfTwoCircles(e)},this.addAngularBisectorsOfTwoLines=function(e,t){var n=JXG.IntergeoReader.readParams(e),r=this.objects[n[2]],i=this.objects[n[3]],s;s=this.board.create("bisectorlines",[r,i],{line1:{name:n[0],id:n[0],straightFirst:!0,straightLast:!0},line2:{name:n[1],id:n[1],straightFirst:!0,straightLast:!0},withLabel:!0}),this.objects[n[0]].exists=!0,this.objects[n[1]].exists=!0},this.addPolygonByVertices=function(e){var t,n,r=[],i=[],s,o=JXG.IntergeoReader.readParams(e);for(t=0;t<e.childNodes.length;t++)if(e.childNodes[t].nodeType==1&&e.childNodes[t].nodeName=="list_of_vertices"){n=e.childNodes[t],r=JXG.IntergeoReader.readParams(n);break}for(t=0;t<r.length;t++)i.push(this.addPoint(this.objects[r[t]]));s=this.board.create("polygon",i,{name:o[0],id:o[0],withLabel:!0}),this.objects[o[0]].exists=!0},this.addVectorFromPointToPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n,r;n=this.addPoint(this.objects[t[1]]),r=this.addPoint(this.objects[t[2]]),el=this.board.create("arrow",[n.id,r.id],{name:t[0]}),this.setAttributes(el),this.objects[t[0]].exists=!0},this.addLocusDefinedByPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]);n.setProperty({trace:!0}),this.objects[t[1]]=n,this.setAttributes(n)},this.addLocusDefinedByPointOnLine=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]);n.setProperty({trace:!0}),this.objects[t[1]]=n,this.setAttributes(n)},this.addLocusDefinedByLineThroughPoint=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]);n.setProperty({trace:!0}),this.objects[t[1]]=n,this.setAttributes(n)},this.addLocusDefinedByPointOnCircle=function(e){var t=JXG.IntergeoReader.readParams(e),n=JXG.getReference(this.board,t[1]);n.setProperty({trace:!0}),this.objects[t[1]]=n,this.setAttributes(n)},this.prepareString=function(e){var t=[],n;if(e.indexOf("<")!=0){for(n=0;n<e.length;n++)t[n]=JXG.Util.asciiCharCodeAt(e,n);e=(new JXG.Util.Unzip(t)).unzipFile("construction/intergeo.xml")}return e},this.readDisplay=function(e){var t,n;if(!JXG.exists(e)||!JXG.isArray(e))return;for(t=0;t<e[0].childNodes.length;t++)(function(t){var n,r,i={},s,o;n=e[0].childNodes[t];if(n.nodeType>1)return;if(n.nodeName=="background-color")this.board.containerObj.style.backgroundColor=n.firstChild.data;else if(n.nodeName=="style"){r=JXG.getReference(this.board,n.getAttribute("ref"));var u=[],a;for(a=0;a<n.childNodes.length;a++)n.childNodes[a].nodeType==1&&(s=n.childNodes[a].nodeName,o=n.childNodes[a].firstChild.data,s=="stroke"?s="strokeColor":s=="stroke-width"||s=="border-width"?s="strokeWidth":s=="fill"?s="fillColor":s=="fill-opacity"?s="fillOpacity":s=="border-opacity"?s="strokeOpacity":s=="point-size"?s="size":s=="label"?s="name":s=="point-style"&&(s="face",o=="circle"?o="o":o=="cross"?o="+":o=="x-mark"?o="x":o=="square"?o="[]":o=="triangle"?o="triangleup":o=="point"?o="o":JXG.debug("Display: not implemented"+n.nodeName)),i[s]=o);r.setProperty(i)}else JXG.debug("Display: not implemented"+n.nodeName)})(t)}};
diff --git a/ajax/libs/jsxgraph/0.96/SketchReader.min.js b/ajax/libs/jsxgraph/0.96/SketchReader.min.js
new file mode 100644
index 000000000..86fbd4c1c
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/SketchReader.min.js
@@ -0,0 +1,33 @@
+/* Version 0.96 */
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    JXG.extend(JXG,{GENTYPE_ABC:1,GENTYPE_AXIS:2,GENTYPE_MID:3,GENTYPE_REFLECTION:4,GENTYPE_MIRRORPOINT:5,GENTYPE_TANGENT:6,GENTYPE_PARALLEL:7,GENTYPE_BISECTORLINES:8,GENTYPE_PERPENDICULAR_BISECTOR:9,GENTYPE_BISECTOR:10,GENTYPE_NORMAL:11,GENTYPE_POINT:12,GENTYPE_GLIDER:13,GENTYPE_INTERSECTION:14,GENTYPE_CIRCLE:15,GENTYPE_CIRCLE2POINTS:16,GENTYPE_LINE:17,GENTYPE_TRIANGLE:18,GENTYPE_QUADRILATERAL:19,GENTYPE_TEXT:20,GENTYPE_POLYGON:21,GENTYPE_REGULARPOLYGON:22,GENTYPE_SECTOR:23,GENTYPE_ANGLE:24,GENTYPE_PLOT:25,GENTYPE_SLIDER:26,GENTYPE_XYZ:27,GENTYPE_JCODE:28,GENTYPE_MOVEMENT:29,GENTYPE_GRID:33,GENTYPE_DELETE:41,GENTYPE_COPY:42,GENTYPE_MIRROR:43,GENTYPE_ROTATE:44,GENTYPE_ABLATION:45,GENTYPE_MIGRATE:46,GENTYPE_TRANSFORM:47,GENTYPE_CTX_TYPE_G:51,GENTYPE_CTX_TYPE_P:52,GENTYPE_CTX_TRACE:53,GENTYPE_CTX_VISIBILITY:54,GENTYPE_CTX_CCVISIBILITY:55,GENTYPE_CTX_MPVISIBILITY:56,GENTYPE_CTX_WITHLABEL:57,GENTYPE_CTX_SETLABEL:58,GENTYPE_CTX_SETFIXED:59,GENTYPE_CTX_STROKEWIDTH:60,GENTYPE_CTX_LABELSIZE:61,GENTYPE_CTX_SIZE:62,GENTYPE_CTX_FACE:63,GENTYPE_CTX_STRAIGHT:64,GENTYPE_CTX_ARROW:65,GENTYPE_CTX_COLOR:66,GENTYPE_CTX_RADIUS:67,GENTYPE_CTX_COORDS:68,GENTYPE_CTX_TEXT:69,GENTYPE_CTX_ANGLERADIUS:70,GENTYPE_CTX_DOTVISIBILITY:71,GENTYPE_CTX_FILLOPACITY:72,SketchReader:{generator:{toFixed:0,freeLine:!1,useGlider:!1,useSymbols:!1},generateJCodeMeta:function(){},id:function(){return JXG.Util.genUUID()},generateJCode:function(e,t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L=[],A="",O="",M="",_="";r=JXG.SketchReader.generator,v=t.objects;var D=function(e){return r.toFixed>0&&(e=e.toFixed(r.toFixed)),e},P=function(e){var n;return r.useSymbols?t.jc.sstack[0][e]?n=t.jc.sstack[0][e]:n=v[e]:n=v[e],n};i="",s="id: '"+e.dest_id+"', ";if(JXG.exists(t)&&r.useSymbols&&e.type!==JXG.GENTYPE_ABLATION){s="",i=e.dest_id+" = ";for(a=0;a<e.src_ids.length;a++)h=t.jc.findSymbol(P(e.src_ids[a]),0),h.length>0&&(e.src_ids[a]=h[0])}if(e.type>50)return JXG.SketchReader.generateJCodeMeta(e,t);switch(e.type){case JXG.GENTYPE_JCODE:A=e.args.code;break;case JXG.GENTYPE_AXIS:A=e.args.name[0]+" = point("+D(e.args.coords[0].usrCoords[1])+", ",A+=D(e.args.coords[0].usrCoords[2])+") <<id: '"+e.dest_sub_ids[0]+"', name: '",A+=e.args.name[0]+"', fixed: true, priv: true, visible: false>>; "+e.args.name[1],A+=" = point("+D(e.args.coords[1].usrCoords[1])+", ",A+=D(e.args.coords[1].usrCoords[2])+") <<id: '"+e.dest_sub_ids[1]+"', name: '",A+=e.args.name[1]+"', fixed: true, priv: true, visible: false>>; "+e.args.name[2],A+=" = point("+D(e.args.coords[2].usrCoords[1])+", ",A+=D(e.args.coords[2].usrCoords[2])+") <<id: '"+e.dest_sub_ids[2]+"', name: '",A+=e.args.name[2]+"', fixed: true, priv: true, visible: false>>; ",A+=e.args.name[3]+" = axis("+e.args.name[0]+", "+e.args.name[1]+") ",A+="<<id: '"+e.dest_sub_ids[3]+"', name: '"+e.args.name[3]+"', ticks: ",A+="<<minorHeight:0, majorHeight:10, ticksDistance: "+JXG.Options.axisScaleX,A+=", drawLabels: true, drawZero: true>>>>; ",A+=e.args.name[4]+" = axis("+e.args.name[0]+", "+e.args.name[2]+") ",A+="<<id: '"+e.dest_sub_ids[4]+"', name: '"+e.args.name[4]+"', ticks: ",A+="<<minorHeight:0, majorHeight:10, ticksDistance: "+JXG.Options.axisScaleY,A+=", drawLabels: true, drawZero: true>>>>; ",A+=e.dest_sub_ids[3]+".visible = false; ",A+=e.dest_sub_ids[4]+".visible = false; ",A+="delete jxgBoard1_infobox; ",O="delete "+e.dest_sub_ids[4]+"; delete "+e.dest_sub_ids[3],O+="; delete "+e.dest_sub_ids[2]+"; ",O+="delete "+e.dest_sub_ids[1]+"; delete "+e.dest_sub_ids[0]+"; ";break;case JXG.GENTYPE_MID:A=i+"midpoint("+e.src_ids[0]+", "+e.src_ids[1]+") <<"+s,A+="fillColor: '"+e.args.fillColor+"'>>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_REFLECTION:A=i+"reflection("+e.src_ids[0]+", "+e.src_ids[1]+") <<"+s,A+="fillColor: '"+e.args.fillColor+"'>>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_MIRRORPOINT:A=i+"mirrorpoint("+e.src_ids[1]+", "+e.src_ids[0]+") <<"+s,A+="fillColor: '"+e.args.fillColor+"'>>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_TANGENT:e.args.create_point===!0?(c=e.dest_sub_ids[2],A="point("+D(e.args.usrCoords[1])+","+D(e.args.usrCoords[2])+") <<id: '",A+=c+"', fillColor: '"+e.args.fillColor+"'>>; "+c+".glide(",A+=e.src_ids[0]+"); ",O="delete "+c+"; "):c=e.src_ids[0],A+=i+"tangent("+c+") <<"+s+"point1: <<name: '"+e.dest_sub_ids[0],A+="', id: '"+e.dest_sub_ids[0]+"'>>, point2: <<name: '"+e.dest_sub_ids[1],A+="', id: '"+e.dest_sub_ids[1]+"'>> >>; ",O="delete "+e.dest_sub_ids[0]+"; "+O,O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[1]+"; "+O;break;case JXG.GENTYPE_PARALLEL:e.args.create_point===!0?(c=e.dest_sub_ids[1],A="point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2])+") <<id: '",A+=c+"', name: '', visible: false, priv: true>>; ",O="delete "+c+"; "):c=e.src_ids[1],A+=i+"parallel("+e.src_ids[0]+", "+c+") <<"+s+"point: <<id: '",A+=e.dest_sub_ids[0]+"', name: '"+e.dest_sub_ids[0]+"'>> >>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; "+O;break;case JXG.GENTYPE_BISECTORLINES:A="bisectorlines("+e.src_ids[0]+", "+e.src_ids[1]+") <<line1: <<id: '",A=A+e.dest_sub_ids[2]+"', point1: <<id: '"+e.dest_sub_ids[1],A+="', name: '"+e.dest_sub_ids[1]+"'>>, point2: <<id: '"+e.dest_sub_ids[0],A+="', name: '"+e.dest_sub_ids[0]+"'>>>>, line2: <<id: '"+e.dest_sub_ids[5],A+="', point1: <<id: '"+e.dest_sub_ids[4]+"', name: '"+e.dest_sub_ids[4],A+="'>>, point2: <<id: '"+e.dest_sub_ids[3]+"', name: '"+e.dest_sub_ids[3],A+="'>>>>>>; ",O="delete "+e.dest_sub_ids[5]+"; delete "+e.dest_sub_ids[4]+"; delete ",O+=e.dest_sub_ids[3]+"; delete "+e.dest_sub_ids[2]+"; delete ",O+=e.dest_sub_ids[1]+"; delete "+e.dest_sub_ids[0]+"; ";break;case JXG.GENTYPE_PERPENDICULAR_BISECTOR:e.args.create_line===!0?(c=e.dest_sub_ids[2],A="line("+e.src_ids[0]+", "+e.src_ids[1]+") <<id: '"+c,A+="', visible: true>>; ",O="delete "+c+"; "):c=e.src_ids[2],A+="midpoint("+e.src_ids[0]+", "+e.src_ids[1]+") <<id: '"+e.dest_sub_ids[0],A+="', fillColor: '"+e.args.fillColor+"'>>; ",A+=i+"normal("+e.dest_sub_ids[0]+", "+c+") <<"+s,A+=" point: <<id: '"+e.dest_sub_ids[1]+"', name: '"+e.dest_sub_ids[1],A+="'>> >>; ",O="delete "+e.dest_sub_ids[0]+"; "+O,O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[1]+"; "+O;break;case JXG.GENTYPE_BISECTOR:e.args.create_point===!0?(m=e.dest_sub_ids[1],A="point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2])+") ",A+="<<id:'"+m+"', ",A+="name:'', priv:true, visible:false >>; ",A+=m+".glide("+e.src_ids[0]+");\n",O="delete "+m+"; ",g=e.dest_sub_ids[2],A+="point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2])+") ",A+="<<id:'"+g+"', ",A+="name:'', priv:true, visible:false >>; ",A+=g+".glide("+e.src_ids[1]+");\n",O+="delete "+g+"; ",e.args.create_intersection?(y=e.dest_sub_ids[3],A+="intersection("+e.src_ids[0]+", "+e.src_ids[1]+", 0) ",A+="<<id:'"+y+"', fillColor: '"+e.args.fillColor+"', ",A+="name:'', priv:true, visible:false >>; \n",O+="delete "+y+"; "):y=e.src_ids[2],A+=i+"bisector("+m+", "+y+", "+g+") ",A+="<<"+s+"point: <<id: '"+e.dest_sub_ids[0]+"', priv: true, name: '",A+=e.dest_sub_ids[0]+"'>> >>; ",O+="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; "):(A=i+"bisector("+e.src_ids[1]+", "+e.src_ids[2]+", "+e.src_ids[0],A+=") <<"+s+"point: <<id: '"+e.dest_sub_ids[0]+"', priv: true, name: '",A+=e.dest_sub_ids[0]+"'>>>>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; ");break;case JXG.GENTYPE_NORMAL:e.args.create_point===!0?(c=e.dest_sub_ids[1],A="point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2]),A+=") <<id: '"+c+"', name: '', visible: false, priv: true>>; ",O="delete "+c+"; "):c=e.src_ids[1],A+=i+"normal("+c+", "+e.src_ids[0]+") <<"+s,A+="point: <<id: '"+e.dest_sub_ids[0]+"', name: '"+e.dest_sub_ids[0],A+="'>> >>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; "+O;break;case JXG.GENTYPE_POINT:A=i+"point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2]),A+=")"+(r.useSymbols?"":" <<id: '"+e.dest_id+"'>>")+";",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_GLIDER:r.useGlider?(A=i+"glider("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2]),A+=", "+e.src_ids[0]+")",A+=(r.useSymbols?"":"<<id: '"+e.dest_id+"'>>")+";"):(A=i+"point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2]),A+=") <<"+s+" fillColor: '"+e.args.fillColor+"'>>; "+e.dest_id,A+=".glide("+e.src_ids[0]+"); "),O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_INTERSECTION:A=i+"intersection("+e.src_ids[0]+", "+e.src_ids[1]+", "+e.args.choice,A+=") <<"+s+" fillColor: '"+e.args.fillColor+"'>>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_CIRCLE:O="delete "+e.dest_sub_ids[0]+"; ",e.args.create_point===!0?(A="point("+D(e.args.usrCoords[1])+", "+D(e.args.usrCoords[2]),A+=") <<id: '"+e.dest_sub_ids[0]+"', priv: false>>; ",A+=i+"circle("+e.dest_sub_ids[0]+", "+e.src_ids[0]+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+" >>; ",O="delete "+e.dest_id+"; "+O):e.args.create_by_radius===!0?(A="point("+D(e.args.x)+", "+D(e.args.y)+") <<id: '"+e.dest_sub_ids[0],A+="', name: '', withLabel: true, visible: true, priv: false>>; ",A+=e.dest_sub_ids[0]+".visible = true; ",A+=i+"circle('"+e.dest_sub_ids[0]+"', "+D(e.args.r)+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; "):(A=i+"circle("+e.src_ids[0]+", "+e.src_ids[1]+", "+e.src_ids[2],A+=") <<center: <<id: '"+e.dest_sub_ids[0]+"', name: '"+e.dest_sub_ids[0],A+="', visible: true>>, "+s+" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; "+O);break;case JXG.GENTYPE_CIRCLE2POINTS:e.args.create_two_points===!0?(A="point("+D(e.args.x1)+", "+D(e.args.y1)+") <<id: '"+e.dest_sub_ids[0],A+="'>>; ",A+="point("+D(e.args.x2)+", "+D(e.args.y2)+") <<id: '",A+=e.dest_sub_ids[1]+"'>>; ",A+=i+"circle("+e.dest_sub_ids[0]+", "+e.dest_sub_ids[1]+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[1]+"; delete ",O+=e.dest_sub_ids[0]+"; "):e.args.create_point===!0?(A="point("+D(e.args.x)+", "+D(e.args.y)+") <<id: '"+e.dest_sub_ids[0],A+="'>>; ",A+=i+"circle("+e.dest_sub_ids[0]+", "+e.src_ids[0]+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[0]+"; "):e.args.create_by_radius===!0?(A=i+"circle("+e.src_ids[0]+", "+e.args.r+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; "):(A=i+"circle("+e.src_ids[0]+", "+e.src_ids[1]+") <<"+s,A+=" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; ");break;case JXG.GENTYPE_LINE:l=0,f=0;if(e.args.create_point1){m=e.dest_sub_ids[l++],p=[];for(a=0;a<e.args.p1.length;a++)p[a]=D(e.args.p1[a]);A="point("+p.join(", ")+") <<id: '"+m+"', name: '', visible: false, ",A+="priv: true>>; ",O="delete "+m+"; "}else m=e.src_ids[f++];if(e.args.create_point2){g=e.dest_sub_ids[l++],p=[];for(a=0;a<e.args.p2.length;a++)p[a]=D(e.args.p2[a]);A+="point("+p.join(", ")+") <<id: '"+g+"', name: '', visible: false, ",A+="priv: true>>; ",O="delete "+g+"; "+O}else g=e.src_ids[f++];h="line",p="",d=m+", "+g;if(e.args.create_point1&&e.args.create_point2&&r.freeLine){A="",O="",e.args.p1.length===2&&e.args.p1.unshift(1),e.args.p2.length===2&&e.args.p2.unshift(1),d=JXG.Math.crossProduct(e.args.p1,e.args.p2);for(a=0;a<d.length;a++)d[a]=D(d[a]);d=d.join(", ")}!e.args.first&&!e.args.last?h="segment":(e.args.first||(p="straightFirst: "+e.args.first),e.args.last||(p="straightLast: "+e.args.last),p.length>0&&!r.useSymbols&&(p+=", ")),r.useSymbols||(s=" id: '"+e.dest_id+"' "),A+=i+h+"("+d+")",A+=(p.length+s.length>0?" <<"+p+s+">>":"")+";",O="delete "+e.dest_id+"; "+O;break;case JXG.GENTYPE_TRIANGLE:for(a=0;a<e.args.create_point.length;a++)e.args.create_point[a]===!0&&(A+="point("+D(e.args.coords[a].usrCoords[1])+", ",A+=D(e.args.coords[a].usrCoords[2])+") <<id: '"+e.dest_sub_ids[a],A+="'>>; ");for(a=0;a<e.dest_sub_ids.length;a++)e.dest_sub_ids[a]!==0&&(O="delete "+e.dest_sub_ids[a]+"; "+O);O="delete "+e.dest_id+"; "+O,A+=i+"polygon(";for(a=0;a<e.src_ids.length;a++)A+=e.src_ids[a],a<e.src_ids.length-1&&(A+=", ");for(a=0;a<3;a++)if(e.dest_sub_ids[a]!==0){if(e.src_ids.length>0||a>0)A+=", ";A+=e.dest_sub_ids[a]}A+=") <<borders: <<ids: [ '"+e.dest_sub_ids[3]+"', '"+e.dest_sub_ids[4],A+="', '"+e.dest_sub_ids[5]+"' ]>>, "+s+" fillOpacity: ",A+=JXG.Options.opacityLevel+", hasInnerPoints:true, scalable:true>>; ";break;case JXG.GENTYPE_QUADRILATERAL:for(a=0;a<e.args.create_point.length;a++)e.args.create_point[a]===!0&&(A+="point("+D(e.args.coords[a].usrCoords[1])+", ",A+=D(e.args.coords[a].usrCoords[2])+") <<id: '"+e.dest_sub_ids[a],A+="'>>; ");for(a=0;a<e.dest_sub_ids.length;a++)e.dest_sub_ids[a]!==0&&(O="delete "+e.dest_sub_ids[a]+"; "+O);O="delete "+e.dest_id+"; "+O,A+=i+"polygon(";for(a=0;a<e.src_ids.length;a++)A+=e.src_ids[a],a<e.src_ids.length-1&&(A+=", ");A+=") <<borders: <<ids: [ '"+e.dest_sub_ids[4]+"', '"+e.dest_sub_ids[5],A+="', '",A+=e.dest_sub_ids[6]+"', '"+e.dest_sub_ids[7]+"' ]>>, "+s,A+=" fillOpacity: ",A+=JXG.Options.opacityLevel+", hasInnerPoints:true, scalable:true>>; ";break;case JXG.GENTYPE_TEXT:A=i+"text("+D(e.args.x)+", "+D(e.args.y)+", "+e.args.str+") <<",A+=s+" name: '"+e.dest_id+"'>>; "+e.dest_id+".setText("+e.args.str,A+="); ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_POLYGON:A=i+"polygon(";for(a=0;a<e.src_ids.length;a++)A+=e.src_ids[a],a!=e.src_ids.length-1&&(A+=", ");A+=") <<borders: <<ids: [ '";for(a=0;a<e.dest_sub_ids.length;a++)A+=e.dest_sub_ids[a],a<e.dest_sub_ids.length-1&&(A+="', '");A+="' ]>>, "+s+" fillOpacity: "+JXG.Options.opacityLevel+" >>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_REGULARPOLYGON:A=i+"regularpolygon("+e.src_ids[0]+", "+e.src_ids[1]+", ",A+=e.args.corners+") <<borders: <<ids: [ ";for(a=0;a<e.args.corners;a++)A+="'"+e.dest_sub_ids[a]+"'",a!=e.args.corners-1&&(A+=", "),O="delete "+e.dest_sub_ids[a]+"; "+O;A+=" ]>>, vertices: <<ids: [ ";for(a=0;a<e.args.corners-2;a++)A+="'"+e.dest_sub_ids[a+parseInt(e.args.corners)]+"'",a!=e.args.corners-3&&(A+=", "),O="delete "+e.dest_sub_ids[a+parseInt(e.args.corners)]+"; "+O;A+=" ]>>, "+s+" fillOpacity: "+JXG.Options.opacityLevel+" >>; ",O="delete "+e.dest_id+"; "+O;break;case JXG.GENTYPE_SECTOR:A=i+"sector("+e.src_ids[0]+", "+e.src_ids[1]+", "+e.src_ids[2],A+=") <<",A+=s+" name: '"+e.dest_id+"', fillOpacity: "+JXG.Options.opacityLevel,A+=">>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_ANGLE:A=i+"angle("+e.src_ids[0]+", "+e.src_ids[1]+", "+e.src_ids[2]+") ",A+="<<radiuspoint: << priv:true, id: '"+e.dest_sub_ids[0]+"', name: '"+e.dest_sub_ids[0],A+="'>>, pointsquare: << priv:true, id: '"+e.dest_sub_ids[1]+"', name: '"+e.dest_sub_ids[1],A+="'>>, dot: << priv:true, id: '"+e.dest_sub_ids[2]+"', name: '"+e.dest_sub_ids[2],A+="'>>, ",A+=s+" fillOpacity: "+JXG.Options.opacityLevel+">>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[2]+"; delete ",O+=e.dest_sub_ids[1],O+="; delete "+e.dest_sub_ids[0]+"; ";break;case JXG.GENTYPE_PLOT:A=i+e.args.plot_type+"("+e.args.func+") <<",e.args.isPolar&&(A+="curveType: 'polar', "),A+=s+" name:'"+e.dest_id+"'>>; ",O="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_SLIDER:A=i+"slider(["+D(e.args.x1)+", "+D(e.args.y1)+"], ["+D(e.args.x2),A+=", "+D(e.args.y2)+"], ["+D(e.args.start)+", "+D(e.args.ini)+", ",A+=D(e.args.end)+"]) <<"+s+" name: '"+e.dest_id+"', baseline: <<id: '",A+=e.dest_sub_ids[0]+"', name: '"+e.dest_sub_ids[0]+"'>>, highline: <<id: '",A+=e.dest_sub_ids[1]+"', name: '"+e.dest_sub_ids[1]+"'>>, point1: <<id: '",A+=e.dest_sub_ids[2]+"', name: '"+e.dest_sub_ids[2]+"'>>, point2: <<id: '",A+=e.dest_sub_ids[3]+"', name: '"+e.dest_sub_ids[3]+"'>>, label: <<id: '",A+=e.dest_sub_ids[4]+"', name: '"+e.dest_sub_ids[4]+"'>>>>; ",O="delete "+e.dest_id+"; delete "+e.dest_sub_ids[4]+"; delete ",O+=e.dest_sub_ids[3]+"; delete "+e.dest_sub_ids[2]+"; delete ",O+=e.dest_sub_ids[1]+"; delete ",O+=e.dest_sub_ids[0]+"; ";break;case JXG.GENTYPE_DELETE:x=[],M=[],_=[];for(a=0;a<e.args.steps.length;a++)n[e.args.steps[a]].type>50?x=this.generateJCodeMeta(n[e.args.steps[a]],t):x=this.generateJCode(n[e.args.steps[a]],t,n),x[2].trim()!==""&&(A=x[2]+A),JXG.isFunction(x[3])&&M.unshift(x[3]),x[0].trim()!==""&&(O+=x[0]),JXG.isFunction(x[1])&&_.push(x[1]);break;case JXG.GENTYPE_COPY:L=[];for(E in e.args.steps)if(e.args.steps.hasOwnProperty(E)){k=JXG.deepCopy(n[e.args.steps[E]]);if(k.type==JXG.GENTYPE_COPY){for(a=0;a<k.args.map.length;a++)for(f=0;f<e.args.map.length;f++)k.args.map[a].copy==e.args.map[f].orig&&(k.args.map[a].copy=e.args.map[f].copy);k=JXG.SketchReader.replaceStepDestIds(k,k.args.map)}else k=JXG.SketchReader.replaceStepDestIds(k,e.args.map);L.push(k)}for(a=0;a<L.length;a++)L[a].type>50?x=this.generateJCodeMeta(L[a],t):x=this.generateJCode(L[a],t,n),x[0].trim()!==""&&(A+=x[0]),JXG.isFunction(x[1])&&M.push(x[1]),x[2].trim()!==""&&(O=x[2]+O),JXG.isFunction(x[3])&&_.unshift(x[3]);if(e.args.dep_copy)for(a=0;a<e.args.map.length;a++)P(e.args.map[a].orig).elementClass==JXG.OBJECT_CLASS_POINT&&(A+=e.args.map[a].copy,A+=".X = function() { return ("+e.args.map[a].orig+".X() - ",A+=D(e.args.x)+"); }; ",A+=e.args.map[a].copy,A+=".Y = function() { return ("+e.args.map[a].orig+".Y() - ",A+=D(e.args.y)+"); }; ");else for(a=0;a<e.args.free_points.length;a++)b=P(e.args.free_points[a].orig).coords.usrCoords[1],w=P(e.args.free_points[a].orig).coords.usrCoords[2],A+=e.args.free_points[a].copy+".X = function() { return ",A+=D(b-e.args.x)+"; }; ",A+=e.args.free_points[a].copy+".Y = function() { return ",A+=D(w-e.args.y)+"; }; ",A+=e.args.free_points[a].copy+".free(); ";for(f=0;f<e.args.map.length;f++)E=P(e.args.map[f].orig),E.type==JXG.OBJECT_TYPE_CIRCLE&&E.point2==null&&(A+=e.args.map[f].copy+".setRadius(function () { return ",A+=e.args.map[f].orig+".radius(); }); ");break;case JXG.GENTYPE_ABLATION:b=P(e.src_ids[0]).coords.usrCoords[1],w=P(e.src_ids[0]).coords.usrCoords[2],A="point("+D(b-e.args.x)+", "+D(w-e.args.y)+") <<id: '",A+=e.dest_sub_ids[0]+"'>>; ",A+="circle("+e.dest_sub_ids[0]+", 1) <<id: '"+e.dest_sub_ids[1],A+="', fillOpacity: "+JXG.Options.opacityLevel+", strokeColor: '#888888', visible: true>>; ",e.args.fids.length==1?e.args.func=e.args.fids[0]+".radius()":e.args.func="dist("+e.args.fids[0]+", "+e.args.fids[1]+")",A+=e.dest_sub_ids[1]+".setRadius(function() { return "+e.args.func+"; }); ",e.args.migrate!=0&&e.args.migrate!=-1?A+="$board.migratePoint("+e.dest_sub_ids[0]+", "+e.args.migrate+"); ":O+="delete "+e.dest_sub_ids[0]+"; ",O="delete "+e.dest_sub_ids[1]+"; "+O;break;case JXG.GENTYPE_MIGRATE:A+="$board.migratePoint("+e.src_ids[0]+", "+e.dest_id+"); ",O+="delete "+e.dest_id+"; ";break;case JXG.GENTYPE_TRANSFORM:A=e.dest_sub_ids[0]+" = transform("+e.args.tmat+") <<type: 'generic'>>; ",A+="point("+e.src_ids[0]+", "+e.dest_sub_ids[0]+") <<id: '"+e.dest_id,A+="', visible: true>>; ",O="delete "+e.dest_id+"; ",O+="delete "+e.dest_sub_ids[0]+"; ";break;case JXG.GENTYPE_MOVEMENT:if(e.args.obj_type==JXG.OBJECT_TYPE_LINE)A=e.src_ids[0]+".move(["+D(e.args.coords[0].usrCoords[0])+", ",A+=D(e.args.coords[0].usrCoords[1])+", "+D(e.args.coords[0].usrCoords[2])+"]); ",O=e.src_ids[0]+".move(["+e.args.zstart[0]+", "+e.args.xstart[0]+", ",O+=e.args.ystart[0]+"]); ",A+=e.src_ids[1]+".move(["+D(e.args.coords[1].usrCoords[0])+", ",A+=D(e.args.coords[1].usrCoords[1])+", "+D(e.args.coords[1].usrCoords[2])+"]); ",O+=e.src_ids[1]+".move(["+e.args.zstart[1]+", "+e.args.xstart[1]+", ",O+=e.args.ystart[1]+"]); ";else if(e.args.obj_type==JXG.OBJECT_TYPE_CIRCLE)A=e.src_ids[0]+".move(["+D(e.args.coords[0].usrCoords[1])+", ",A+=D(e.args.coords[0].usrCoords[2])+"]); ",O=e.src_ids[0]+".move(["+e.args.xstart+", "+e.args.ystart+"]); ",e.args.has_point2&&(A+=e.src_ids[1]+".move(["+D(e.args.coords[1].usrCoords[1])+", ",A+=D(e.args.coords[1].usrCoords[2])+"]); ",O+=e.src_ids[1]+".move(["+e.args.old_p2x+", "+e.args.old_p2y,O+="]); ");else if(e.args.obj_type==JXG.OBJECT_TYPE_GLIDER)A=e.src_ids[0]+".setPosition("+D(e.args.position)+"); ",O=e.src_ids[0]+".setPosition("+e.args.xstart+"); ";else if(e.args.obj_type==JXG.OBJECT_TYPE_POLYGON){A=O="";for(a=0;a<e.src_ids.length;a++)A+=e.src_ids[a]+".move(["+D(e.args.coords[a].usrCoords[1])+", ",A+=D(e.args.coords[a].usrCoords[2])+"]); ",O+=e.src_ids[a]+".move(["+e.args.xstart[a]+", "+e.args.ystart[a],O+="]); "}else A=e.src_ids[0]+".move(["+D(e.args.coords[0].usrCoords[1])+", ",A+=D(e.args.coords[0].usrCoords[2])+"]); ",O=e.src_ids[0]+".move(["+e.args.xstart+", "+e.args.ystart+"]); ";break;default:return}return[A,M,O,_]},replaceStepDestIds:function(e,t){var n,r,i=[];for(n=0;n<t.length;n++){i.push(t[n].copy),e.dest_id==t[n].orig&&(e.dest_id=t[n].copy);for(r=0;r<e.dest_sub_ids.length;r++)e.dest_sub_ids[r]==t[n].orig&&(e.dest_sub_ids[r]=t[n].copy);for(r=0;r<e.src_ids.length;r++)e.src_ids[r]==t[n].orig&&(e.src_ids[r]=t[n].copy)}for(r=0;r<e.dest_sub_ids.length;r++)JXG.isInArray(i,e.dest_sub_ids[r])||(e.dest_sub_ids[r]=this.id());return e.src_ids=JXG.uniqueArray(e.src_ids),e.dest_sub_ids=JXG.uniqueArray(e.dest_sub_ids),e},readSketch:function(e,t){var n,r,i,s,o,u,a;o=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(e))).unzip();if(!JXG.exists(o[0]))return"";o=JXG.Util.utf8Decode(o[0][0]),a=JSON.parse(o);for(n=0;n<a.length-1;n++){if(a[n].type==0)continue;if(a[n].type==JXG.GENTYPE_CTX_VISIBILITY&&a[n].args.isGrid)continue;if(a[n].type==JXG.GENTYPE_GRID)continue;a[n].type==27&&(a[n].type=JXG.GENTYPE_DELETE),a[n].type==31&&(a[n].type=JXG.GENTYPE_ABLATION),a[n]>50?i=this.generateJCodeMeta(a[n],t):i=this.generateJCode(a[n],t,a),t.jc.parse(i[0],!0)}return u=a.pop(),i=u.boundingBox,t.setBoundingBox(i),t.options.grid.snapToGrid=!u.snapToGrid,t.options.point.snapToGrid=!u.snapToGrid,t.options.point.snapToPoints=!u.snapToPoints,""}}});
diff --git a/ajax/libs/jsxgraph/0.96/jsxgraphcore.js b/ajax/libs/jsxgraph/0.96/jsxgraphcore.js
new file mode 100644
index 000000000..dddebd9b7
--- /dev/null
+++ b/ajax/libs/jsxgraph/0.96/jsxgraphcore.js
@@ -0,0 +1,32 @@
+/* Version 0.96 */
+/*
+    Copyright 2008-2012
+        Matthias Ehmann,
+        Michael Gerhaeuser,
+        Carsten Miller,
+        Bianca Valentin,
+        Alfred Wassermann,
+        Peter Wilfahrt
+
+    This file is part of JSXGraph.
+
+    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
+    
+    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
+      OR
+      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
+
+    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 and
+    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
+    and <http://opensource.org/licenses/MIT/>.
+*/
+    var JXG={};(function(){var e,t;JXG.countDrawings=0,JXG.countTime=0,JXG.require=function(e){},JXG.rendererFiles={},JXG.rendererFiles.svg="SVGRenderer",JXG.rendererFiles.vml="VMLRenderer",JXG.rendererFiles.canvas="CanvasRenderer",JXG.baseFiles=null,JXG.requirePath="";if(typeof document!="undefined")for(e=0;e<document.getElementsByTagName("script").length;e++)t=document.getElementsByTagName("script")[e],t.src&&t.src.match(/loadjsxgraphInOneFile\.js(\?.*)?$/)&&(JXG.requirePath=t.src.replace(/loadjsxgraphInOneFile\.js(\?.*)?$/,""));JXG.serverBase=JXG.requirePath+"server/",typeof module!="undefined"&&(module.exports=JXG)})(),JXG.extend=function(e,t,n,r){var i,s;n=n||!1,r=r||!1;for(i in t)if(!n||n&&t.hasOwnProperty(i))r?s=i.toLowerCase():s=i,e[s]=t[i]},JXG.shortcut=function(e,t){return function(){return e[t].apply(this,arguments)}},JXG.extend(JXG,{touchProperty:"touches",version:"0.96.01",supportsVML:function(){return typeof document!="undefined"&&!!document.namespaces},supportsSVG:function(){return typeof document!="undefined"&&document.implementation.hasFeature("http://www.w3.org/TR/SVG11/feature#BasicStructure","1.1")},supportsCanvas:function(){return typeof document!="undefined"&&!!document.createElement("canvas").getContext},isNode:function(){return typeof document=="undefined"&&typeof window=="undefined"&&typeof module!="undefined"&&module.exports},isTouchDevice:function(){return"ontouchstart"in document.documentElement},isAndroid:function(){return JXG.exists(navigator)&&navigator.userAgent.toLowerCase().search("android")>-1},isWebkitAndroid:function(){return this.isAndroid()&&navigator.userAgent.search(" AppleWebKit/")>-1},isApple:function(){return JXG.exists(navigator)&&(navigator.userAgent.search(/iPad/)!=-1||navigator.userAgent.search(/iPhone/)!=-1)},isWebkitApple:function(){return this.isApple()&&navigator.userAgent.search(/Mobile *.*Safari/)>-1},isMetroApp:function(){return typeof window!="undefined"&&window.clientInformation&&window.clientInformation.appName&&window.clientInformation.appName.indexOf("MSAppHost")>-1},clearVisPropOld:function(e){e.visPropOld={strokecolor:"",strokeopacity:"",strokewidth:"",fillcolor:"",fillopacity:"",shadow:!1,firstarrow:!1,lastarrow:!1,cssclass:"",fontsize:-1}},ieVersion:function(){var e;if(typeof document=="undefined")return e;var t=3,n=document.createElement("div"),r=n.getElementsByTagName("i");while(n.innerHTML="<!--[if gt IE "+ ++t+"]><i><"+"/i><![endif]-->",r[0]);return t>4?t:e}(),getReference:function(e,t){return typeof t=="string"&&(JXG.exists(e.objects[t])?t=e.objects[t]:JXG.exists(e.elementsByName[t])?t=e.elementsByName[t]:JXG.exists(e.groups[t])&&(t=e.groups[t])),t},getRef:JXG.shortcut(JXG,"getReference"),isId:function(e,t){return typeof t=="string"&&!!e.objects[t]},isName:function(e,t){return typeof t=="string"&&!!e.elementsByName[t]},isGroup:function(e,t){return typeof t=="string"&&!!e.groups[t]},isString:function(e){return typeof e=="string"},isNumber:function(e){return typeof e=="number"},isFunction:function(e){return typeof e=="function"},isArray:function(e){var t;return Array.isArray?t=Array.isArray(e):t=e!==null&&typeof e=="object"&&"splice"in e&&"join"in e,t},isPoint:function(e){return typeof e=="object"?e.elementClass==JXG.OBJECT_CLASS_POINT:!1},exists:function(e){return function(t){return t!==e&&t!==null}}(),def:function(e,t){return JXG.exists(e)?e:t},str2Bool:function(e){return JXG.exists(e)?typeof e=="boolean"?e:JXG.isString(e)?e.toLowerCase()=="true":!1:!0},_board:function(e,t){return JXG.JSXGraph.initBoard(e,t)},createEvalFunction:function(e,t,n){var r=[],i,s;for(i=0;i<n;i++)typeof t[i]=="string"&&(s=JXG.GeonextParser.geonext2JS(t[i],e),s=s.replace(/this\.board\./g,"board."),r[i]=new Function("","return "+s+";"));return function(e){var n=t[e];return typeof n=="string"?r[e]():typeof n=="function"?n():typeof n=="number"?n:0}},createFunction:function(e,t,n,r){var i=null;return(!JXG.exists(r)||r)&&JXG.isString(e)?i=t.jc.snippet(e,!0,n,!0):JXG.isFunction(e)?i=e:JXG.isNumber(e)?i=function(){return e}:JXG.isString(e)&&(i=function(){return e}),i!==null&&(i.origin=e),i},checkParents:function(e,t,n){var r,i,s,o,u=[],a=t.slice(0),f=function(e,t){var n=(typeof e).toLowerCase();if(n==="number")return t&&(t.type&&t.type===e||t.elementClass&&t.elementClass===e);switch(e.toLowerCase()){case"string":case"object":case"function":case"number":return(typeof t).toLowerCase()===e.toLowerCase();case"array":return JXG.isArray(t)}return!1};for(r=0;r<n.length;r++){for(i=0;i<n[r].length&&t.length>=n[r].length;i++){s=0;while(s<a.length&&!f(n[r][i],a[s]))s++;s<a.length&&u.push(a.splice(o-s-1,1)[0])}if(!a.length)return u;a=t.slice(0),u=[]}},readOption:function(e,t,n){var r=e.elements[n];return JXG.exists(e[t][n])&&(r=e[t][n]),r},checkAttributes:function(e,t){var n;JXG.exists(e)||(e={});for(n in t)JXG.exists(e[n])||(e[n]=t[n]);return e},copyAttributes:function(e,t){var n,r,i,s,o,u={circle:1,curve:1,image:1,line:1,point:1,polygon:1,text:1,ticks:1,integral:1};i=arguments.length,i<3||u[arguments[2]]?n=this.deepCopy(t.elements,null,!0):n={},i<4&&this.exists(arguments[2])&&this.exists(t.layer[arguments[2]])&&(n.layer=t.layer[arguments[2]]),s=t,o=!0;for(r=2;r<i;r++){if(!JXG.exists(s[arguments[r]])){o=!1;break}s=s[arguments[r]]}o&&(n=this.deepCopy(n,s,!0)),s=e,o=!0;for(r=3;r<i;r++){if(!JXG.exists(s[arguments[r]])){o=!1;break}s=s[arguments[r]]}o&&this.extend(n,s,null,!0),s=t,o=!0;for(r=2;r<i;r++){if(!JXG.exists(s[arguments[r]])){o=!1;break}s=s[arguments[r]]}return o&&(n.label=JXG.deepCopy(s.label,n.label)),n.label=JXG.deepCopy(t.label,n.label),n},getDimensions:function(e){var t,n,r,i,s,o,u,a;if(typeof document=="undefined"||e==null)return{width:500,height:500};t=document.getElementById(e);if(!JXG.exists(t))throw new Error("\nJSXGraph: HTML container element '"+e+"' not found.");return 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r,i,s,o,u,a,f,l=e.Math.eps,c=0,h,p,d=n.length,v=[[0,0,0],[0,0,0],[0,0,0]],m=[[0,0,0],[0,0,0],[0,0,0]],g=0;for(r=0;r<d;r++){for(i=0;i<d;i++)v[r][i]=0,m[r][i]=n[r][i],c+=t.abs(m[r][i]);v[r][r]=1}if(d==1)return[m,v];if(c<=0)return[m,v];c/=d*d;do{h=0,p=0;for(i=1;i<d;i++)for(r=0;r<i;r++){o=t.abs(m[r][i]),o>p&&(p=o),h+=o;if(o>=l){o=t.atan2(2*m[r][i],m[r][r]-m[i][i])*.5,u=t.sin(o),a=t.cos(o);for(s=0;s<d;s++)f=m[s][r],m[s][r]=a*f+u*m[s][i],m[s][i]=-u*f+a*m[s][i],f=v[s][r],v[s][r]=a*f+u*v[s][i],v[s][i]=-u*f+a*v[s][i];m[r][r]=a*m[r][r]+u*m[i][r],m[i][i]=-u*m[r][i]+a*m[i][i],m[r][i]=0;for(s=0;s<d;s++)m[r][s]=m[s][r],m[i][s]=m[s][i]}}g++}while(t.abs(h)/c>l&&g<2e3);return[m,v]},NewtonCotes:function(e,t,n){var r=0,i=n&&typeof 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u=[],a=[],f=(i[1]-i[0])/s,l=i[0],c,h,p,d,v,m=r.length,g,y=[],b=0;e.isString(t)&&(t=n[t]||n.euler),g=t.s;for(c=0;c<m;c++)u[c]=r[c];for(h=0;h<s;h++){y[b]=[];for(c=0;c<m;c++)y[b][c]=u[c];b++,d=[];for(p=0;p<g;p++){for(c=0;c<m;c++)a[c]=0;for(v=0;v<p;v++)for(c=0;c<m;c++)a[c]+=t.A[p][v]*f*d[v][c];for(c=0;c<m;c++)a[c]+=u[c];d.push(o(l+t.c[p]*f,a))}for(c=0;c<m;c++)a[c]=0;for(v=0;v<g;v++)for(c=0;c<m;c++)a[c]+=t.b[v]*d[v][c];for(c=0;c<m;c++)u[c]=u[c]+f*a[c];l+=f}return y},maxIterationsRoot:80,maxIterationsMinimize:500,fzero:function(n,r,i){var s=e.Math.eps,o=this.maxIterationsRoot,u=0,a=0,f=s,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A;if(e.isArray(r)){if(r.length<2)throw new Error("JXG.Math.Numerics.fzero: length of array x0 has to be at least 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s=f(e,t,n);s[0]>r?(a(e,t,s[1],r,i),a(e,s[1],n,r,i)):i.push(e[n])},f=function(n,r,i){var s=0,o=r,u,a,f,l,c,h,p,d,v,m,g;if(i-r<2)return[-1,0];f=n[r].scrCoords,l=n[i].scrCoords;if(isNaN(f[1]+f[2]+l[1]+l[2]))return[NaN,i];for(a=r+1;a<i;a++)c=n[a].scrCoords,h=c[1]-f[1],p=c[2]-f[2],d=l[1]-f[1],v=l[2]-f[2],m=d*d+v*v,m>=e.Math.eps?(g=(h*d+p*v)/m,g<0?g=0:g>1&&(g=1),h-=g*d,p-=g*v,u=h*h+p*p):(g=0,u=h*h+p*p),u>s&&(s=u,o=a);return[t.sqrt(s),o]};u=n.length,s=0;while(s<u&&isNaN(n[s].scrCoords[1]+n[s].scrCoords[2]))s++;o=u-1;while(o>s&&isNaN(n[o].scrCoords[1]+n[o].scrCoords[2]))o--;return s>o||s==u||(i[0]=n[s],a(n,s,o,r,i)),i}}}(JXG,Math),JXG.Math.Statistics={sum:function(e){var t,n=e.length,r=0;for(t=0;t<n;t++)r+=e[t];return r},prod:function(e){var t,n=e.length,r=1;for(t=0;t<n;t++)r*=e[t];return r},mean:function(e){return e.length>0?this.sum(e)/e.length:0},median:function(e){var t,n;return e.length>0?(t=e.slice(0),t.sort(function(e,t){return e-t}),n=t.length,n%2==1?t[parseInt(n*.5)]:(t[n*.5-1]+t[n*.5])*.5):0},variance:function(e){var t,n,r,i=e.length;if(i>1){t=this.mean(e),n=0;for(r=0;r<i;r++)n+=(e[r]-t)*(e[r]-t);return n/(e.length-1)}return 0},sd:function(e){return Math.sqrt(this.variance(e))},weightedMean:function(e,t){if(e.length!=t.length)throw new Error("JSXGraph error (Math.Statistics.weightedMean): Array dimension mismatch.");return e.length>0?this.mean(this.multiply(e,t)):0},max:function(e){return Math.max.apply(this,e)},min:function(e){return Math.min.apply(this,e)},range:function(e){return[this.min(e),this.max(e)]},abs:function(e){var t,n,r;if(JXG.isArray(e)){n=e.length,r=[];for(t=0;t<n;t++)r[t]=Math.abs(e[t])}else r=Math.abs(e);return r},add:function(e,t){var n,r,i=[];if(JXG.isArray(e)&&JXG.isNumber(t)){r=e.length;for(n=0;n<r;n++)i[n]=e[n]+t}else if(JXG.isNumber(e)&&JXG.isArray(t)){r=t.length;for(n=0;n<r;n++)i[n]=e+t[n]}else if(JXG.isArray(e)&&JXG.isArray(t)){r=Math.min(e.length,t.length);for(n=0;n<r;n++)i[n]=e[n]+t[n]}else i=e+t;return i},div:function(e,t){var n,r,i=[];if(JXG.isArray(e)&&JXG.isNumber(t)){r=e.length;for(n=0;n<r;n++)i[n]=e[n]/t}else if(JXG.isNumber(e)&&JXG.isArray(t)){r=t.length;for(n=0;n<r;n++)i[n]=e/t[n]}else if(JXG.isArray(e)&&JXG.isArray(t)){r=Math.min(e.length,t.length);for(n=0;n<r;n++)i[n]=e[n]/t[n]}else i=e/t;return i},divide:JXG.shortcut(JXG.Math.Statistics,"div"),mod:function(e,t,n){var r,i,s=[],o=function(e,t){return e%t};n=JXG.def(n,!1),n&&(o=JXG.Math.mod);if(JXG.isArray(e)&&JXG.isNumber(t)){i=e.length;for(r=0;r<i;r++)s[r]=o(e[r],t)}else if(JXG.isNumber(e)&&JXG.isArray(t)){i=t.length;for(r=0;r<i;r++)s[r]=o(e,t[r])}else if(JXG.isArray(e)&&JXG.isArray(t)){i=Math.min(e.length,t.length);for(r=0;r<i;r++)s[r]=o(e[r],t[r])}else s=o(e,t);return s},multiply:function(e,t){var n,r,i=[];if(JXG.isArray(e)&&JXG.isNumber(t)){r=e.length;for(n=0;n<r;n++)i[n]=e[n]*t}else if(JXG.isNumber(e)&&JXG.isArray(t)){r=t.length;for(n=0;n<r;n++)i[n]=e*t[n]}else if(JXG.isArray(e)&&JXG.isArray(t)){r=Math.min(e.length,t.length);for(n=0;n<r;n++)i[n]=e[n]*t[n]}else i=e*t;return i},subtract:function(e,t){var n,r,i=[];if(JXG.isArray(e)&&JXG.isNumber(t)){r=e.length;for(n=0;n<r;n++)i[n]=e[n]-t}else if(JXG.isNumber(e)&&JXG.isArray(t)){r=t.length;for(n=0;n<r;n++)i[n]=e-t[n]}else if(JXG.isArray(e)&&JXG.isArray(t)){r=Math.min(e.length,t.length);for(n=0;n<r;n++)i[n]=e[n]-t[n]}else i=e-t;return i}},JXG.Math.Symbolic=function(e,t){return{generateSymbolicCoordinatesPartial:function(t,n,r,i){var s=function(e){var t;return i==="underscore"?t=""+r+"_{"+e+"}":i=="brace"?t=""+r+"["+e+"]":t=""+r+""+e,t},o=n.ancestors,u=0,a,f,l;t.listOfFreePoints=[],t.listOfDependantPoints=[];for(f in o){a=0;if(e.isPoint(o[f])){for(l in o[f].ancestors)a++;a===0?(o[f].symbolic.x=o[f].coords.usrCoords[1],o[f].symbolic.y=o[f].coords.usrCoords[2],t.listOfFreePoints.push(o[f])):(u++,o[f].symbolic.x=s(u),u++,o[f].symbolic.y=s(u),t.listOfDependantPoints.push(o[f]))}}return e.isPoint(n)&&(n.symbolic.x="x",n.symbolic.y="y"),u},clearSymbolicCoordinates:function(t){var n=function(t){var n,r=t&&t.length||0;for(n=0;n<r;n++)e.isPoint(t[n])&&(t[n].symbolic.x="",t[n].symbolic.y="")};n(t.listOfFreePoints),n(t.listOfDependantPoints),delete t.listOfFreePoints,delete t.listOfDependantPoints},generatePolynomials:function(t,n,r){var i=n.ancestors,s,o=[],u=[],a,f,l;r&&this.generateSymbolicCoordinatesPartial(t,n,"u","brace"),i[n.id]=n;for(a in i){s=0,o=[];if(e.isPoint(i[a])){for(f in i[a].ancestors)s++;if(s>0){o=i[a].generatePolynomial();for(l=0;l<o.length;l++)u.push(o[l])}}}return r&&this.clearSymbolicCoordinates(t),u},geometricLocusByGroebnerBase:function(n,r){var i=this.generateSymbolicCoordinatesPartial(n,r,"u","brace"),s,o,u,a={},f=new e.Coords(e.COORDS_BY_USR,[0,0],n),l=new e.Coords(e.COORDS_BY_USR,[n.canvasWidth,n.canvasHeight],n),c,h,p,d=1,v=0,m=0,g=0,y,b,w,E,S,x,T,N=function(e,t){var n;for(n=0;n<t.length;n++)if(t[n].id===e)return!0;return!1},C=n.options.locus;e.Server.modules.geoloci===t&&e.Server.loadModule("geoloci");if(e.Server.modules.geoloci===t)throw new Error("JSXGraph: Unable to load JXG.Server module 'geoloci.py'.");E=f.usrCoords[1],S=l.usrCoords[1],x=l.usrCoords[2],T=f.usrCoords[2];if(C.translateToOrigin&&n.listOfFreePoints.length>0){C.toOrigin!==t&&C.toOrigin!=null&&N(C.toOrigin.id,n.listOfFreePoints)?c=C.toOrigin:c=n.listOfFreePoints[0],v=c.symbolic.x,m=c.symbolic.y;for(p=0;p<n.listOfFreePoints.length;p++)n.listOfFreePoints[p].symbolic.x-=v,n.listOfFreePoints[p].symbolic.y-=m;E-=v,S-=v,x-=m,T-=m;if(C.translateTo10&&n.listOfFreePoints.length>1){C.to10!==t&&C.to10!=null&&C.to10.id!=C.toOrigin.id&&N(C.to10.id,n.listOfFreePoints)?h=C.to10:n.listOfFreePoints[0].id==c.id?h=n.listOfFreePoints[1]:h=n.listOfFreePoints[0],g=e.Math.Geometry.rad([1,0],[0,0],[h.symbolic.x,h.symbolic.y]),y=Math.cos(-g),b=Math.sin(-g);for(p=0;p<n.listOfFreePoints.length;p++)w=n.listOfFreePoints[p].symbolic.x,n.listOfFreePoints[p].symbolic.x=y*n.listOfFreePoints[p].symbolic.x-b*n.listOfFreePoints[p].symbolic.y,n.listOfFreePoints[p].symbolic.y=b*w+y*n.listOfFreePoints[p].symbolic.y;h.symbolic.y=0,w=E,E=y*E-b*x,x=b*w+y*x,w=S,S=y*S-b*T,T=b*w+y*T;if(C.stretch&&Math.abs(h.symbolic.x)>e.Math.eps){d=h.symbolic.x;for(p=0;p<n.listOfFreePoints.length;p++)n.listOfFreePoints[p].symbolic.x/=d,n.listOfFreePoints[p].symbolic.y/=d;for(p in n.objects)n.objects[p].elementClass==e.OBJECT_CLASS_CIRCLE&&n.objects[p].method=="pointRadius"&&(a[p]=n.objects[p].radius,n.objects[p].radius/=d);E/=d,S/=d,x/=d,T/=d,h.symbolic.x=1}}for(p=0;p<n.listOfFreePoints.length;p++)w=n.listOfFreePoints[p].symbolic.x,Math.abs(w)<e.Math.eps&&(n.listOfFreePoints[p].symbolic.x=0),Math.abs(w-Math.round(w))<e.Math.eps&&(n.listOfFreePoints[p].symbolic.x=Math.round(w)),w=n.listOfFreePoints[p].symbolic.y,Math.abs(w)<e.Math.eps&&(n.listOfFreePoints[p].symbolic.y=0),Math.abs(w-Math.round(w))<e.Math.eps&&(n.listOfFreePoints[p].symbolic.y=Math.round(w))}s=this.generatePolynomials(n,r),o=s.join(","),this.cbp=function(e){u=e},this.cb=e.bind(this.cbp,this),e.Server.modules.geoloci.lociCoCoA(E,S,x,T,i,o,d,g,v,m,this.cb,!0),this.clearSymbolicCoordinates(n);for(p in a)n.objects[p].radius=a[p];return u}}}(JXG),JXG.Math.Geometry={},JXG.extend(JXG.Math.Geometry,{angle:function(e,t,n){var r=[],i=[],s=[],o,u,a,f;return e.coords==null?(r[0]=e[0],r[1]=e[1]):(r[0]=e.coords.usrCoords[1],r[1]=e.coords.usrCoords[2]),t.coords==null?(i[0]=t[0],i[1]=t[1]):(i[0]=t.coords.usrCoords[1],i[1]=t.coords.usrCoords[2]),n.coords==null?(s[0]=n[0],s[1]=n[1]):(s[0]=n.coords.usrCoords[1],s[1]=n.coords.usrCoords[2]),o=r[0]-i[0],u=r[1]-i[1],a=s[0]-i[0],f=s[1]-i[1],Math.atan2(o*f-u*a,o*a+u*f)},trueAngle:function(e,t,n){return this.rad(e,t,n)*57.29577951308232},rad:function(e,t,n){var r,i,s,o,u,a,f;return e.coords==null?(r=e[0],i=e[1]):(r=e.coords.usrCoords[1],i=e.coords.usrCoords[2]),t.coords==null?(s=t[0],o=t[1]):(s=t.coords.usrCoords[1],o=t.coords.usrCoords[2]),n.coords==null?(u=n[0],a=n[1]):(u=n.coords.usrCoords[1],a=n.coords.usrCoords[2]),f=Math.atan2(a-o,u-s)-Math.atan2(i-o,r-s),f<0&&(f+=6.283185307179586),f},angleBisector:function(e,t,n,r){var i=e.coords.usrCoords,s=t.coords.usrCoords,o=n.coords.usrCoords,u=i[1]-s[1],a=i[2]-s[2],f=Math.sqrt(u*u+a*a),l,c,h;return JXG.exists(r)||(r=e.board),u/=f,a/=f,l=Math.acos(u),a<0&&(l*=-1),l<0&&(l+=2*Math.PI),u=o[1]-s[1],a=o[2]-s[2],f=Math.sqrt(u*u+a*a),u/=f,a/=f,c=Math.acos(u),a<0&&(c*=-1),c<0&&(c+=2*Math.PI),h=(l+c)*.5,l>c&&(h+=Math.PI),u=Math.cos(h)+s[1],a=Math.sin(h)+s[2],new JXG.Coords(JXG.COORDS_BY_USER,[u,a],r)},reflection:function(e,t,n){var r=t.coords.usrCoords,i=e.point1.coords.usrCoords,s=e.point2.coords.usrCoords,o,u,a,f,l,c,h;return JXG.exists(n)||(n=t.board),l=s[1]-i[1],c=s[2]-i[2],o=r[1]-i[1],u=r[2]-i[2],h=(l*u-c*o)/(l*l+c*c),a=r[1]+2*h*c,f=r[2]-2*h*l,new JXG.Coords(JXG.COORDS_BY_USER,[a,f],n)},rotation:function(e,t,n,r){var i=t.coords.usrCoords,s=e.coords.usrCoords,o,u,a,f,l,c;return JXG.exists(r)||(r=t.board),o=i[1]-s[1],u=i[2]-s[2],a=Math.cos(n),f=Math.sin(n),l=o*a-u*f+s[1],c=o*f+u*a+s[2],new JXG.Coords(JXG.COORDS_BY_USER,[l,c],r)},perpendicular:function(e,t,n){var r=e.point1.coords.usrCoords,i=e.point2.coords.usrCoords,s=t.coords.usrCoords,o,u,a,f,l,c,h,p;return JXG.exists(n)||(n=t.board),t==e.point1?(o=r[1]+i[2]-r[2],u=r[2]-i[1]+r[1],a=!0):t==e.point2?(o=i[1]+r[2]-i[2],u=i[2]-r[1]+i[1],a=!1):Math.abs(r[1]-i[1])>JXG.Math.eps&&Math.abs(s[2]-(r[2]-i[2])*(s[1]-r[1])/(r[1]-i[1])-r[2])<JXG.Math.eps||Math.abs(r[1]-i[1])<=JXG.Math.eps&&Math.abs(r[1]-s[1])<JXG.Math.eps?(o=s[1]+i[2]-s[2],u=s[2]-i[1]+s[1],a=!0,Math.abs(o-s[1])<JXG.Math.eps&&Math.abs(u-s[2])<JXG.Math.eps&&(o=s[1]+r[2]-s[2],u=s[2]-r[1]+s[1],a=!1)):(f=r[2]-i[2],l=r[1]-i[1],c=i[1]*f-i[2]*l,h=s[1]*l+s[2]*f,p=f*f+l*l,Math.abs(p)<JXG.Math.eps&&(p=JXG.Math.eps),o=(c*f+h*l)/p,u=(h*f-c*l)/p,a=!0),[new JXG.Coords(JXG.COORDS_BY_USER,[o,u],n),a]},circumcenterMidpoint:JXG.shortcut(JXG.Math.Geometry,"circumcenter"),circumcenter:function(e,t,n,r){var i=e.coords.usrCoords,s=t.coords.usrCoords,o=n.coords.usrCoords,u,a,f,l;return JXG.exists(r)||(r=e.board),u=[s[0]-i[0],-s[2]+i[2],s[1]-i[1]],a=[(i[0]+s[0])*.5,(i[1]+s[1])*.5,(i[2]+s[2])*.5],f=JXG.Math.crossProduct(u,a),u=[o[0]-s[0],-o[2]+s[2],o[1]-s[1]],a=[(s[0]+o[0])*.5,(s[1]+o[1])*.5,(s[2]+o[2])*.5],l=JXG.Math.crossProduct(u,a),new JXG.Coords(JXG.COORDS_BY_USER,JXG.Math.crossProduct(f,l),r)},distance:function(e,t){var n=0,r,i;if(e.length!=t.length)return NaN;i=e.length;for(r=0;r<i;r++)n+=(e[r]-t[r])*(e[r]-t[r]);return Math.sqrt(n)},affineDistance:function(e,t){var n;return e.length!=t.length?NaN:(n=this.distance(e,t),n>JXG.Math.eps&&(Math.abs(e[0])<JXG.Math.eps||Math.abs(t[0])<JXG.Math.eps)?Infinity:n)},calcStraight:function(e,t,n,r){var i,s,o,u,a,f,l,c,h,p,d,v;r==null&&(r=10),a=e.visProp.straightfirst,f=e.visProp.straightlast,Math.abs(t.scrCoords[0])<JXG.Math.eps&&(a=!0),Math.abs(n.scrCoords[0])<JXG.Math.eps&&(f=!0);if(!a&&!f)return;l=[],l[0]=e.stdform[0]-e.stdform[1]*e.board.origin.scrCoords[1]/e.board.unitX+e.stdform[2]*e.board.origin.scrCoords[2]/e.board.unitY,l[1]=e.stdform[1]/e.board.unitX,l[2]=e.stdform[2]/-e.board.unitY;if(isNaN(l[0]+l[1]+l[2]))return;c=[],c[0]=JXG.Math.crossProduct(l,[r,0,1]),c[1]=JXG.Math.crossProduct(l,[r,1,0]),c[2]=JXG.Math.crossProduct(l,[-r-e.board.canvasHeight,0,1]),c[3]=JXG.Math.crossProduct(l,[-r-e.board.canvasWidth,1,0]);for(h=0;h<4;h++)if(Math.abs(c[h][0])>JXG.Math.eps){for(p=2;p>0;p--)c[h][p]/=c[h][0];c[h][0]=1}i=!1,s=!1,!a&&Math.abs(t.usrCoords[0])>=JXG.Math.eps&&t.scrCoords[1]>=0&&t.scrCoords[1]<=e.board.canvasWidth&&t.scrCoords[2]>=0&&t.scrCoords[2]<=e.board.canvasHeight&&(i=!0),!f&&Math.abs(n.usrCoords[0])>=JXG.Math.eps&&n.scrCoords[1]>=0&&n.scrCoords[1]<=e.board.canvasWidth&&n.scrCoords[2]>=0&&n.scrCoords[2]<=e.board.canvasHeight&&(s=!0),Math.abs(c[1][0])<JXG.Math.eps?(o=c[0],u=c[2]):Math.abs(c[0][0])<JXG.Math.eps?(o=c[1],u=c[3]):c[1][2]<0?(o=c[0],c[3][2]>e.board.canvasHeight?u=c[2]:u=c[3]):c[1][2]>e.board.canvasHeight?(o=c[2],c[3][2]<0?u=c[0]:u=c[3]):(o=c[1],c[3][2]<0?u=c[0]:c[3][2]>e.board.canvasHeight?u=c[2]:u=c[3]),o=new JXG.Coords(JXG.COORDS_BY_SCREEN,o.slice(1),e.board),u=new JXG.Coords(JXG.COORDS_BY_SCREEN,u.slice(1),e.board);if(!i&&!s){if(!a&&f&&!this.isSameDirection(t,n,o)&&!this.isSameDirection(t,n,u))return;if(a&&!f&&!this.isSameDirection(n,t,o)&&!this.isSameDirection(n,t,u))return}i?s||(this.isSameDir(t,n,o,u)?v=u:v=o):s?this.isSameDir(t,n,o,u)?d=o:d=u:this.isSameDir(t,n,o,u)?(d=o,v=u):(v=o,d=u),d&&t.setCoordinates(JXG.COORDS_BY_USER,d.usrCoords.slice(1)),v&&n.setCoordinates(JXG.COORDS_BY_USER,v.usrCoords.slice(1))},isSameDir:function(e,t,n,r){var i=t.usrCoords[1]-e.usrCoords[1],s=t.usrCoords[2]-e.usrCoords[2],o=r.usrCoords[1]-n.usrCoords[1],u=r.usrCoords[2]-n.usrCoords[2];return Math.abs(t.usrCoords[0])<JXG.Math.eps&&(i=t.usrCoords[1],s=t.usrCoords[2]),Math.abs(e.usrCoords[0])<JXG.Math.eps&&(i=-e.usrCoords[1],s=-e.usrCoords[2]),i*o+s*u>=0},isSameDirection:function(e,t,n){var r,i,s,o,u=!1;r=t.usrCoords[1]-e.usrCoords[1],i=t.usrCoords[2]-e.usrCoords[2],s=n.usrCoords[1]-e.usrCoords[1],o=n.usrCoords[2]-e.usrCoords[2],Math.abs(r)<JXG.Math.eps&&(r=0),Math.abs(i)<JXG.Math.eps&&(i=0),Math.abs(s)<JXG.Math.eps&&(s=0),Math.abs(o)<JXG.Math.eps&&(o=0);if(r>=0&&s>=0){if(i>=0&&o>=0||i<=0&&o<=0)u=!0}else r<=0&&s<=0&&(i>=0&&o>=0||i<=0&&o<=0)&&(u=!0);return u},intersectLineLine:function(e,t,n){var r=e.point1.coords.usrCoords,i=e.point2.coords.usrCoords,s=t.point1.coords.usrCoords,o=t.point2.coords.usrCoords,u,a,f,l,c;return JXG.exists(n)||(n=e.board),u=r[1]*i[2]-r[2]*i[1],a=s[1]*o[2]-s[2]*o[1],f=(i[2]-r[2])*(s[1]-o[1])-(r[1]-i[1])*(o[2]-s[2]),Math.abs(f)<JXG.Math.eps&&(f=JXG.Math.eps),l=(u*(s[1]-o[1])-a*(r[1]-i[1]))/f,c=(a*(i[2]-r[2])-u*(o[2]-s[2]))/f,new JXG.Coords(JXG.COORDS_BY_USER,[l,c],n)},intersectCircleLine:function(e,t,n){var r=t.point1.coords.usrCoords,i=t.point2.coords.usrCoords,s=e.center.coords.usrCoords,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T;return JXG.exists(n)||(n=t.board),o=t.point1.Dist(t.point2),o>0?(u=e.center.Dist(t.point1),a=e.center.Dist(t.point2),f=(u*u+o*o-a*a)/(2*o),l=u*u-f*f,l=l<0?0:l,c=Math.sqrt(l),h=e.Radius(),p=Math.sqrt(h*h-c*c),d=i[1]-r[1],v=i[2]-r[2],m=s[1]+c/o*v,g=s[2]-c/o*d,u=i[1]*v-i[2]*d,a=m*d+g*v,y=v*v+d*d,Math.abs(y)<JXG.Math.eps&&(y=JXG.Math.eps),b=(u*v+a*d)/y,w=(a*v-u*d)/y,E=p/o,S=new JXG.Coords(JXG.COORDS_BY_USER,[b+E*d,w+E*v],n),x=new JXG.Coords(JXG.COORDS_BY_USER,[b-E*d,w-E*v],n),T=e.center.coords.distance(JXG.COORDS_BY_USER,S),h<T-1||isNaN(T)?[0]:[2,S,x]):[0]},intersectCircleCircle:function(e,t,n){var r={},i=e.Radius(),s=t.Radius(),o=e.center.coords.usrCoords,u=t.center.coords.usrCoords,a,f,l,c,h,p,d;return JXG.exists(n)||(n=e.board),a=i+s,f=Math.abs(i-s),l=e.center.coords.distance(JXG.COORDS_BY_USER,t.center.coords),l>a?[0]:l<f?[0]:l==0?[0]:(r[0]=1,c=u[1]-o[1],h=u[2]-o[2],p=(l*l-s*s+i*i)/(2*l),d=Math.sqrt(i*i-p*p),r[1]=new JXG.Coords(JXG.COORDS_BY_USER,[o[1]+p/l*c+d/l*h,o[2]+p/l*h-d/l*c],n),r[2]=new JXG.Coords(JXG.COORDS_BY_USER,[o[1]+p/l*c-d/l*h,o[2]+p/l*h+d/l*c],n),r)},meet:function(e,t,n,r){var i=JXG.Math.eps;return Math.abs(e[3])<i&&Math.abs(t[3])<i?this.meetLineLine(e,t,n,r):Math.abs(e[3])>=i&&Math.abs(t[3])<i?this.meetLineCircle(t,e,n,r):Math.abs(e[3])<i&&Math.abs(t[3])>=i?this.meetLineCircle(e,t,n,r):this.meetCircleCircle(e,t,n,r)},meetLineLine:function(e,t,n,r){var i=JXG.Math.crossProduct(e,t);return Math.abs(i[0])>JXG.Math.eps&&(i[1]/=i[0],i[2]/=i[0],i[0]=1),new JXG.Coords(JXG.COORDS_BY_USER,i,r)},meetLineCircle:function(e,t,n,r){var i,s,o,u,a,f,l,c,h,p;return t[4]<JXG.Math.eps?Math.abs(JXG.Math.innerProduct([1,t[6],t[7]],e,3))<JXG.Math.eps?new JXG.Coords(JXG.COORDS_BY_USER,t.slice(6,8),r):new JXG.Coords(JXG.COORDS_BY_USER,[NaN,NaN],r):(o=t[0],s=t.slice(1,3),i=t[3],u=e[0],a=e.slice(1,3),f=i,l=s[0]*a[1]-s[1]*a[0],c=i*u*u-(s[0]*a[0]+s[1]*a[1])*u+o,h=l*l-4*f*c,h>=0?(h=Math.sqrt(h),p=[(-l+h)/(2*f),(-l-h)/(2*f)],n==0?new JXG.Coords(JXG.COORDS_BY_USER,[-p[0]*-a[1]-u*a[0],-p[0]*a[0]-u*a[1]],r):new JXG.Coords(JXG.COORDS_BY_USER,[-p[1]*-a[1]-u*a[0],-p[1]*a[0]-u*a[1]],r)):new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],r))},meetCircleCircle:function(e,t,n,r){var i;return e[4]<JXG.Math.eps?Math.abs(this.distance(e.slice(6,2),t.slice(6,8))-t[4])<JXG.Math.eps?new JXG.Coords(JXG.COORDS_BY_USER,e.slice(6,8),r):new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],r):t[4]<JXG.Math.eps?Math.abs(this.distance(t.slice(6,2),e.slice(6,8))-e[4])<JXG.Math.eps?new JXG.Coords(JXG.COORDS_BY_USER,t.slice(6,8),r):new JXG.Coords(JXG.COORDS_BY_USER,[0,0,0],r):(i=[t[3]*e[0]-e[3]*t[0],t[3]*e[1]-e[3]*t[1],t[3]*e[2]-e[3]*t[2],0,1,Infinity,Infinity,Infinity],i=JXG.Math.normalize(i),this.meetLineCircle(i,e,n,r))},meetCurveCurve:function(e,t,n,r,i){var s=0,o,u,a,f,l,c,h,p,d,v,m,g,y,b;JXG.exists(i)||(i=e.board),arguments.callee.t1memo?(o=arguments.callee.t1memo,u=arguments.callee.t2memo):(o=n,u=r),c1X=function(t){return e.X.apply(e,[t])},c1Y=function(t){return e.Y.apply(e,[t])},c2X=function(e){return t.X.apply(t,[e])},c2Y=function(e){return t.Y.apply(t,[e])},p=e.X(o)-t.X(u),d=e.Y(o)-t.Y(u),v=p*p+d*d,m=i.D(e.X,e),g=i.D(t.X,t),y=i.D(e.Y,e),b=i.D(t.Y,t);while(v>JXG.Math.eps&&s<10)a=m(o),f=-g(u),l=y(o),c=-b(u),h=a*c-f*l,o-=(c*p-f*d)/h,u-=(a*d-l*p)/h,p=e.X(o)-t.X(u),d=e.Y(o)-t.Y(u),v=p*p+d*d,s++;return arguments.callee.t1memo=o,arguments.callee.t2memo=u,Math.abs(o)<Math.abs(u)?new JXG.Coords(JXG.COORDS_BY_USER,[e.X(o),e.Y(o)],i):new JXG.Coords(JXG.COORDS_BY_USER,[t.X(u),t.Y(u)],i)},meetCurveLine:function(e,t,n,r,i){var s=[0,NaN,NaN],o,u,a;JXG.exists(r)||(r=e.board);for(o=0;o<=1;o++)if(arguments[o].elementClass==JXG.OBJECT_CLASS_CURVE)u=arguments[o];else{if(arguments[o].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't call meetCurveLine with parent class "+arguments[o].elementClass+".");a=arguments[o]}return u.visProp.curvetype==="plot"?s=this.meetCurveLineDiscrete(u,a,n,r,i):s=this.meetCurveLineContinuous(u,a,n,r),s},meetCurveLineContinuous:function(e,t,n,r){var i,s,o,e,t,u,a,f,l,c,h,p,d,v;u=function(n){return t.stdform[0]+t.stdform[1]*e.X(n)+t.stdform[2]*e.Y(n)},arguments.callee.t1memo?(h=arguments.callee.t1memo,i=JXG.Math.Numerics.root(u,h)):(h=e.minX(),p=e.maxX(),i=JXG.Math.Numerics.root(u,[h,p])),arguments.callee.t1memo=i,d=e.X(i),v=e.Y(i);if(n==1){arguments.callee.t2memo&&(h=arguments.callee.t2memo,s=JXG.Math.Numerics.root(u,h));if(!(Math.abs(s-i)>.1&&Math.abs(d-e.X(s))>.1&&Math.abs(v-e.Y(s))>.1)){l=20,c=(e.maxX()-e.minX())/l,f=e.minX();for(o=0;o<l;o++){s=JXG.Math.Numerics.root(u,[f,f+c]);if(Math.abs(s-i)>.1&&Math.abs(d-e.X(s))>.1&&Math.abs(v-e.Y(s))>.1)break;f+=c}}i=s,arguments.callee.t2memo=i}return Math.abs(u(i))>JXG.Math.eps?a=NaN:a=1,new JXG.Coords(JXG.COORDS_BY_USER,[a,e.X(i),e.Y(i)],r)},meetCurveLineDiscrete:function(e,t,n,r,i){var s,o,u,a,f,l,c=0,h,p,d=!1;s=e.numberPoints,i!=null&&(p=i.point,JXG.exists(p)&&!p.visProp.alwaysintersect&&(d=!0)),f=new JXG.Coords(JXG.COORDS_BY_USER,[0,NaN,NaN],r),a=[1,e.X(0),e.Y(0)];for(o=1;o<s;o++){u=a.slice(0),a=[1,e.X(o),e.Y(o)],l=this.distance(u,a);if(l<JXG.Math.eps)continue;h=this.meetSegmentSegment(u,a,t.point1.coords.usrCoords,t.point2.coords.usrCoords,r);if(0<=h[1]&&h[1]<=1){if(c==n){if(d&&(t.visProp.straightfirst==0&&h[2]<0||t.visProp.straightlast==0&&h[2]>1))break;f=new JXG.Coords(JXG.COORDS_BY_USER,h[0],r);break}c++}}return f},meetSegmentSegment:function(e,t,n,r,i){var s=JXG.Math.crossProduct(e,t),o=JXG.Math.crossProduct(n,r),u=JXG.Math.crossProduct(s,o),a=u[0],f,l,c;return Math.abs(a)<Math.eps?[u,Number.Infinity,Number.Infinity]:(c=[n[1]-e[1],n[2]-e[2]],f=(c[0]*(r[2]-n[2])-c[1]*(r[1]-n[1]))/a,l=(c[0]*(t[2]-e[2])-c[1]*(t[1]-e[1]))/a,[u,f,l])},projectPointToCircle:function(e,t,n){var r,i,s=t.center.coords.usrCoords,o,u,a;return JXG.exists(n)||(n=e.board),JXG.isPoint(e)?(r=e.coords.distance(JXG.COORDS_BY_USER,t.center.coords),i=e.coords.usrCoords):(r=e.distance(JXG.COORDS_BY_USER,t.center.coords),i=e.usrCoords),Math.abs(r)<JXG.Math.eps&&(r=JXG.Math.eps),a=t.Radius()/r,o=s[1]+a*(i[1]-s[1]),u=s[2]+a*(i[2]-s[2]),new JXG.Coords(JXG.COORDS_BY_USER,[o,u],n)},projectPointToLine:function(e,t,n){var r=[0,t.stdform[1],t.stdform[2]];return JXG.exists(n)||(n=e.board),r=JXG.Math.crossProduct(r,e.coords.usrCoords),this.meetLineLine(r,t.stdform,0,n)},projectCoordsToSegment:function(e,t,n){var r=[n[1]-t[1],n[2]-t[2]],i=[e[1]-t[1],e[2]-t[2]],s,o,u;return Math.abs(r[0])<JXG.Math.eps&&Math.abs(r[1])<JXG.Math.eps?t:(s=JXG.Math.innerProduct(i,r),o=JXG.Math.innerProduct(r,r),s/=o,[[1,s*r[0]+t[1],s*r[1]+t[2]],s])},projectPointToCurve:function(e,t,n){JXG.exists(n)||(n=e.board);var r=e.X(),i=e.Y(),s=e.position||0,o=this.projectCoordsToCurve(r,i,s,t,n);return e.position=o[1],o[0]},projectCoordsToCurve:function(e,t,n,r,i){var s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E,S,x=Number.POSITIVE_INFINITY,T,n,N,C,k,L,A;JXG.exists(i)||(i=r.board);if(r.visProp.curvetype=="parameter"||r.visProp.curvetype=="polar"){T=function(n){var i=e-r.X(n),s=t-r.Y(n);return i*i+s*s},k=T(n),A=20,L=(r.maxX()-r.minX())/A,N=r.minX();for(o=0;o<A;o++)C=T(N),C<k&&(n=N,k=C),N+=L;n=JXG.Math.Numerics.root(JXG.Math.Numerics.D(T),n),n<r.minX()&&(n=r.maxX()+n-r.minX()),n>r.maxX()&&(n=r.minX()+n-r.maxX()),s=new JXG.Coords(JXG.COORDS_BY_USER,[r.X(n),r.Y(n)],i)}else if(r.visProp.curvetype=="plot"){n=0,c=x,r.numberPoints==0?s=[0,1,1]:s=[r.Z(0),r.X(0),r.Y(0)];if(r.numberPoints>1){y=[r.Z(0),r.X(0),r.Y(0)];for(o=0;o<r.numberPoints-1;o++)b=[r.Z(o+1),r.X(o+1),r.Y(o+1)],v=[1,e,t],S=this.projectCoordsToSegment(v,y,b),p=S[1],m=S[0],0<=p&&p<=1?(h=this.distance(m,v),g=o+p):p<0?(m=y,h=this.distance(y,v),g=o):p>1&&o+1==r.numberPoints-1&&(m=b,h=this.distance(m,v),g=r.numberPoints-1),h<c&&(c=h,n=g,s=m),y=b}s=new JXG.Coords(JXG.COORDS_BY_USER,s,i)}else n=e,e=n,t=r.Y(n),s=new JXG.Coords(JXG.COORDS_BY_USER,[e,t],i);return[r.updateTransform(s),n]},projectPointToTurtle:function(e,t,n){var r,i,s,o,u,a=0,f=0,l=Number.POSITIVE_INFINITY,c,h,p,d=t.objects.length;JXG.exists(n)||(n=e.board);for(u=0;u<d;u++)h=t.objects[u],h.elementClass==JXG.OBJECT_CLASS_CURVE&&(r=this.projectPointToCurve(e,h),c=this.distance(r.usrCoords,e.coords.usrCoords),c<l&&(s=r.usrCoords[1],o=r.usrCoords[2],i=e.position,l=c,p=h,f=a),a+=h.numberPoints);return r=new JXG.Coords(JXG.COORDS_BY_USER,[s,o],n),e.position=i+f,p.updateTransform(r)},projectPointToPoint:function(e,t,n){return t.coords},distPointLine:function(e,t){var n=t[1],r=t[2],i=t[0],s;return Math.abs(n)+Math.abs(r)<JXG.Math.eps?Number.POSITIVE_INFINITY:(s=n*e[1]+r*e[2]+i*1,n*=n,r*=r,Math.abs(s)/Math.sqrt(n+r))}}),JXG.Math.Poly={},JXG.Math.Poly.Ring=function(e){this.vars=e},JXG.extend(JXG.Math.Poly.Ring.prototype,{}),JXG.Math.Poly.Monomial=function(e,t,n){var r;if(!JXG.exists(e))throw new Error("JSXGraph error: In JXG.Math.Poly.monomial missing parameter 'ring'.");JXG.isArray(n)||(n=[]),n=n.slice(0,e.vars.length);for(r=n.length;r<e.vars.length;r++)n.push(0);this.ring=e,this.coefficient=t||0,this.exponents=JXG.deepCopy(n)},JXG.extend(JXG.Math.Poly.Monomial.prototype,{copy:function(){return new JXG.Math.Poly.Monomial(this.ring,this.coefficient,this.exponents)},print:function(){var e=[],t;for(t=0;t<this.ring.vars.length;t++)e.push(this.ring.vars[t]+"^"+this.exponents[t]);return this.coefficient+"*"+e.join("*")}}),JXG.Math.Poly.Polynomial=function(e,t){var n=function(){},r;if(!JXG.exists(e))throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial missing parameter 'ring'.");JXG.exists(t)&&typeof t=="string"?r=n(t):r=[],this.ring=e,this.monomials=r},JXG.extend(JXG.Math.Poly.Polynomial.prototype,{findSignature:function(e){var t;for(t=0;t<this.monomials.length;t++)if(JXG.cmpArrays(this.monomials[t].exponents,e))return t;return-1},addSubMonomial:function(e,t){var n;n=this.findSignature(e.exponents),n>-1?this.monomials[n].coefficient+=t*e.coefficient:(e.coefficient*=t,this.monomials.push(e))},add:function(e){var t;if(!JXG.exists(e)||e.ring!==this.ring)throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.add either summand is undefined or rings don't match.");if(JXG.isArray(e.exponents))this.addSubMonomial(e,1);else for(t=0;t<e.monomials.length;t++)this.addSubMonomial(e.monomials[t],1)},sub:function(e){var t;if(!JXG.exists(e)||e.ring!==this.ring)throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.sub either summand is undefined or rings don't match.");if(JXG.isArray(e.exponents))this.addSubMonomial(e,-1);else for(t=0;t<e.monomials.length;t++)this.addSubMonomial(e.monomials[t],-1)},copy:function(){var e,t;t=new JXG.Math.Poly.Polynomial(this.ring);for(e=0;e<this.monomials.length;e++)t.monomials.push(this.monomials[e].copy());return t},print:function(){var e=[],t;for(t=0;t<this.monomials.length;t++)e.push("("+this.monomials[t].print()+")");return e.join("+")}}),JXG.Complex=function(e,t){this.isComplex=!0,typeof e=="undefined"&&(e=0),typeof t=="undefined"&&(t=0),e.isComplex&&(t=e.imaginary,e=e.real),this.real=e,this.imaginary=t,this.absval=0,this.angle=0},JXG.extend(JXG.Complex.prototype,{toString:function(){return""+this.real+" + "+this.imaginary+"i"},add:function(e){typeof e=="number"?this.real+=e:(this.real+=e.real,this.imaginary+=e.imaginary)},sub:function(e){typeof e=="number"?this.real-=e:(this.real-=e.real,this.imaginary-=e.imaginary)},mult:function(e){var t,n;typeof e=="number"?(this.real*=e,this.imaginary*=e):(t=this.real,n=this.imaginary,this.real=t*e.real-n*e.imaginary,this.imaginary=t*e.imaginary+n*e.real)},div:function(e){var t,n,r;if(typeof e=="number"){if(Math.abs(e)<Math.eps){this.real=Infinity,this.imaginary=Infinity;return}this.real/=e,this.imaginary/=e}else{if(Math.abs(e.real)<Math.eps&&Math.abs(e.imaginary)<Math.eps){this.real=Infinity,this.imaginary=Infinity;return}t=e.real*e.real+e.imaginary*e.imaginary,r=this.real,n=this.imaginary,this.real=(r*e.real+n*e.imaginary)/t,this.imaginary=(n*e.real-r*e.imaginary)/t}},conj:function(){this.imaginary*=-1}}),JXG.C={},JXG.C.add=function(e,t){var n=new JXG.Complex(e);return n.add(t),n},JXG.C.sub=function(e,t){var n=new JXG.Complex(e);return n.sub(t),n},JXG.C.mult=function(e,t){var n=new JXG.Complex(e);return n.mult(t),n},JXG.C.div=function(e,t){var n=new JXG.Complex(e);return n.div(t),n},JXG.C.conj=function(e){var t=new JXG.Complex(e);return t.conj(),t},JXG.C.abs=function(e){var t=new JXG.Complex(e);return t.conj(),t.mult(e),Math.sqrt(t.real)},JXG.AbstractRenderer=function(){this.vOffsetText=0,this.enhancedRendering=!0,this.container=null,this.type=""},JXG.extend(JXG.AbstractRenderer.prototype,{_updateVisual:function(e,t,n){var r;if(n||this.enhancedRendering)t=t||{},e.visProp.draft?this.setDraft(e):(t.stroke||(this.setObjectStrokeWidth(e,e.visProp.strokewidth),this.setObjectStrokeColor(e,e.visProp.strokecolor,e.visProp.strokeopacity)),t.fill||this.setObjectFillColor(e,e.visProp.fillcolor,e.visProp.fillopacity),t.dash||this.setDashStyle(e,e.visProp),t.shadow||this.setShadow(e),t.gradient||this.setShadow(e))},drawPoint:function(e){var t,n=JXG.Point.prototype.normalizeFace.call(this,e.visProp.face);n==="o"?t="ellipse":n==="[]"?t="rect":t="path",this.appendChildPrim(this.createPrim(t,e.id),e.visProp.layer),this.appendNodesToElement(e,t),this._updateVisual(e,{dash:!0,shadow:!0},!0),this.updatePoint(e)},updatePoint:function(e){var t=e.visProp.size,n=JXG.Point.prototype.normalizeFace.call(this,e.visProp.face);isNaN(e.coords.scrCoords[2]+e.coords.scrCoords[1])||(this._updateVisual(e,{dash:!1,shadow:!1}),t*=!e.board||!e.board.options.point.zoom?1:Math.sqrt(e.board.zoomX*e.board.zoomY),n==="o"?this.updateEllipsePrim(e.rendNode,e.coords.scrCoords[1],e.coords.scrCoords[2],t+1,t+1):n==="[]"?this.updateRectPrim(e.rendNode,e.coords.scrCoords[1]-t,e.coords.scrCoords[2]-t,t*2,t*2):this.updatePathPrim(e.rendNode,this.updatePathStringPoint(e,t,n),e.board),this.setShadow(e))},changePointStyle:function(e){var t=this.getElementById(e.id);JXG.exists(t)&&this.remove(t),this.drawPoint(e),JXG.clearVisPropOld(e),e.visProp.visible||this.hide(e),e.visProp.draft&&this.setDraft(e)},drawLine:function(e){this.appendChildPrim(this.createPrim("line",e.id),e.visProp.layer),this.appendNodesToElement(e,"lines"),this.updateLine(e)},updateLine:function(e){var t=new JXG.Coords(JXG.COORDS_BY_USER,e.point1.coords.usrCoords,e.board),n=new JXG.Coords(JXG.COORDS_BY_USER,e.point2.coords.usrCoords,e.board),r=null;if(e.visProp.firstarrow||e.visProp.lastarrow)r=0;JXG.Math.Geometry.calcStraight(e,t,n,r),this.updateLinePrim(e.rendNode,t.scrCoords[1],t.scrCoords[2],n.scrCoords[1],n.scrCoords[2],e.board),this.makeArrows(e),this._updateVisual(e,{fill:!0})},drawTicks:function(e){var t=this.createPrim("path",e.id);this.appendChildPrim(t,e.visProp.layer),this.appendNodesToElement(e,"path")},updateTicks:function(e,t,n,r,i){},drawCurve:function(e){this.appendChildPrim(this.createPrim("path",e.id),e.visProp.layer),this.appendNodesToElement(e,"path"),this._updateVisual(e,{shadow:!0},!0),this.updateCurve(e)},updateCurve:function(e){this._updateVisual(e),e.visProp.handdrawing?this.updatePathPrim(e.rendNode,this.updatePathStringBezierPrim(e),e.board):this.updatePathPrim(e.rendNode,this.updatePathStringPrim(e),e.board),e.numberPoints>1&&this.makeArrows(e)},drawEllipse:function(e){this.appendChildPrim(this.createPrim("ellipse",e.id),e.visProp.layer),this.appendNodesToElement(e,"ellipse"),this.updateEllipse(e)},updateEllipse:function(e){this._updateVisual(e);var t=e.Radius();t>0&&Math.abs(e.center.coords.usrCoords[0])>JXG.Math.eps&&!isNaN(t+e.center.coords.scrCoords[1]+e.center.coords.scrCoords[2])&&t*e.board.unitX<2e6&&this.updateEllipsePrim(e.rendNode,e.center.coords.scrCoords[1],e.center.coords.scrCoords[2],t*e.board.unitX,t*e.board.unitY)},drawPolygon:function(e){this.appendChildPrim(this.createPrim("polygon",e.id),e.visProp.layer),this.appendNodesToElement(e,"polygon"),this.updatePolygon(e)},updatePolygon:function(e){this._updateVisual(e,{stroke:!0,dash:!0}),this.updatePolygonPrim(e.rendNode,e)},displayCopyright:function(e,t){},drawInternalText:function(e){},updateInternalText:function(e){},drawText:function(e){var t,n;e.visProp.display==="html"?(t=this.container.ownerDocument.createElement("div"),t.style.position="absolute",t.className=e.visProp.cssclass,this.container.style.zIndex==""?n=0:n=parseInt(this.container.style.zIndex),t.style.zIndex=n+e.board.options.layer.text,this.container.appendChild(t),t.setAttribute("id",this.container.id+"_"+e.id)):t=this.drawInternalText(e),e.rendNode=t,e.htmlStr="",this.updateText(e)},updateText:function(e){var t=e.plaintext;e.visProp.visible&&(this.updateTextStyle(e,!1),e.visProp.display==="html"?(isNaN(e.coords.scrCoords[1]+e.coords.scrCoords[2])||(e.visProp.anchorx==="right"?e.rendNode.style.right=parseInt(e.board.canvasWidth-e.coords.scrCoords[1])+"px":e.visProp.anchorx==="middle"?e.rendNode.style.left=parseInt(e.coords.scrCoords[1]-.5*e.size[0])+"px":e.rendNode.style.left=parseInt(e.coords.scrCoords[1])+"px",e.visProp.anchory==="top"?e.rendNode.style.top=parseInt(e.coords.scrCoords[2]+this.vOffsetText)+"px":e.visProp.anchory==="middle"?e.rendNode.style.top=parseInt(e.coords.scrCoords[2]-.5*e.size[1]+this.vOffsetText)+"px":e.rendNode.style.top=parseInt(e.coords.scrCoords[2]-e.size[1]+this.vOffsetText)+"px"),e.htmlStr!==t&&(e.rendNode.innerHTML=t,e.htmlStr=t,e.visProp.usemathjax?MathJax.Hub.Queue(["Typeset",MathJax.Hub,e.rendNode]):e.visProp.useasciimathml&&AMprocessNode(e.rendNode,!1)),this.transformImage(e,e.transformations)):this.updateInternalText(e))},updateTextStyle:function(e,t){var n,r,i,s,o=e.visProp;t?(i=o.highlightstrokecolor,r=o.highlightstrokeopacity,s=o.highlightcssclass):(i=o.strokecolor,r=o.strokeopacity,s=o.cssclass);if(e.visProp.display==="html"||this.type!="canvas"){n=JXG.evaluate(e.visProp.fontsize);if(e.visPropOld.fontsize!=n){try{e.rendNode.style.fontSize=n+"px"}catch(u){e.rendNode.style.fontSize=n}e.visPropOld.fontsize=n}e.visPropOld.cssclass!=s&&(e.rendNode.className=s,e.visPropOld.cssclass=s)}return e.visProp.display==="html"?this.setObjectStrokeColor(e,i,r):this.updateInternalTextStyle(e,i,r),this},updateInternalTextStyle:function(e,t,n){this.setObjectStrokeColor(e,t,n)},drawImage:function(e){},updateImage:function(e){this.updateRectPrim(e.rendNode,e.coords.scrCoords[1],e.coords.scrCoords[2]-e.size[1],e.size[0],e.size[1]),this.updateImageURL(e),this.transformImage(e,e.transformations),this._updateVisual(e,{stroke:!0,dash:!0},!0)},joinTransforms:function(e,t){var n=[[1,0,0],[0,1,0],[0,0,1]],r=e.board.origin.scrCoords[1],i=e.board.origin.scrCoords[2],s=e.board.unitX,o=e.board.unitY,u=[[1,0,0],[-r,1,0],[-i,0,1]],a=[[1,0,0],[0,1/s,0],[0,0,-1/o]],f=[[1,0,0],[0,s,0],[0,0,-o]],l=[[1,0,0],[r,1,0],[i,0,1]],c,h=t.length;for(c=0;c<h;c++)n=JXG.Math.matMatMult(u,n),n=JXG.Math.matMatMult(a,n),n=JXG.Math.matMatMult(t[c].matrix,n),n=JXG.Math.matMatMult(f,n),n=JXG.Math.matMatMult(l,n);return n},transformImage:function(e,t){},updateImageURL:function(e){},updateImageStyle:function(e,t){var n=t?el.visProp.highlightcssclass:el.visProp.cssclass;e.rendNode.className=n},appendChildPrim:function(e,t){},appendNodesToElement:function(e,t){},createPrim:function(e,t){return null},remove:function(e){},makeArrows:function(e){},updateEllipsePrim:function(e,t,n,r,i){},updateLinePrim:function(e,t,n,r,i,s){},updatePathPrim:function(e,t,n){},updatePathStringPoint:function(e,t,n){},updatePathStringPrim:function(e){},updatePathStringBezierPrim:function(e){},updatePolygonPrim:function(e,t){},updateRectPrim:function(e,t,n,r,i){},setPropertyPrim:function(e,t,n){},show:function(e){},hide:function(e){},setBuffering:function(e,t){},setDashStyle:function(e){},setDraft:function(e){if(!e.visProp.draft)return;var t=e.board.options.elements.draft.color,n=e.board.options.elements.draft.opacity;e.type===JXG.OBJECT_TYPE_POLYGON?this.setObjectFillColor(e,t,n):(e.elementClass===JXG.OBJECT_CLASS_POINT?this.setObjectFillColor(e,t,n):this.setObjectFillColor(e,"none",0),this.setObjectStrokeColor(e,t,n),this.setObjectStrokeWidth(e,e.board.options.elements.draft.strokeWidth))},removeDraft:function(e){e.type===JXG.OBJECT_TYPE_POLYGON?this.setObjectFillColor(e,e.visProp.fillcolor,e.visProp.fillopacity):(e.type===JXG.OBJECT_CLASS_POINT&&this.setObjectFillColor(e,e.visProp.fillcolor,e.visProp.fillopacity),this.setObjectStrokeColor(e,e.visProp.strokecolor,e.visProp.strokeopacity),this.setObjectStrokeWidth(e,e.visProp.strokewidth))},setGradient:function(e){},updateGradient:function(e){},setObjectFillColor:function(e,t,n){},setObjectStrokeColor:function(e,t,n){},setObjectStrokeWidth:function(e,t){},setShadow:function(e){},highlight:function(e){var t,n=e.visProp;if(!n.draft){if(e.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(e,n.highlightfillcolor,n.highlightfillopacity);for(t=0;t<e.borders.length;t++)this.setObjectStrokeColor(e.borders[t],e.borders[t].visProp.highlightstrokecolor,e.borders[t].visProp.highlightstrokeopacity)}else e.type===JXG.OBJECT_TYPE_TEXT?this.updateTextStyle(e,!0):e.type===JXG.OBJECT_TYPE_IMAGE?this.updateImageStyle(e,!0):(this.setObjectStrokeColor(e,n.highlightstrokecolor,n.highlightstrokeopacity),this.setObjectFillColor(e,n.highlightfillcolor,n.highlightfillopacity));n.highlightstrokewidth&&this.setObjectStrokeWidth(e,Math.max(n.highlightstrokewidth,n.strokewidth))}return this},noHighlight:function(e){var t,n=e.visProp;if(!e.visProp.draft){if(e.type===JXG.OBJECT_TYPE_POLYGON){this.setObjectFillColor(e,n.fillcolor,n.fillopacity);for(t=0;t<e.borders.length;t++)this.setObjectStrokeColor(e.borders[t],e.borders[t].visProp.strokecolor,e.borders[t].visProp.strokeopacity)}else e.type===JXG.OBJECT_TYPE_TEXT?this.updateTextStyle(e,!1):e.type===JXG.OBJECT_TYPE_IMAGE?this.updateImageStyle(e,!1):(this.setObjectStrokeColor(e,n.strokecolor,n.strokeopacity),this.setObjectFillColor(e,n.fillcolor,n.fillopacity));this.setObjectStrokeWidth(e,n.strokewidth)}return this},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(e){var t,n,r=function(r,i){var s;s=t.createElement("span"),n.appendChild(s),s.appendChild(document.createTextNode(r)),JXG.addEvent(s,"click",i,e)};t=e.containerObj.ownerDocument,n=t.createElement("div"),n.setAttribute("id",e.containerObj.id+"_navigationbar"),n.style.color=e.options.navbar.strokeColor,n.style.backgroundColor=e.options.navbar.fillColor,n.style.padding=e.options.navbar.padding,n.style.position=e.options.navbar.position,n.style.fontSize=e.options.navbar.fontSize,n.style.cursor=e.options.navbar.cursor,n.style.zIndex=e.options.navbar.zIndex,e.containerObj.appendChild(n),n.style.right=e.options.navbar.right,n.style.bottom=e.options.navbar.bottom,r("\u00a0\u2013\u00a0",e.zoomOut),r("\u00a0o\u00a0",e.zoom100),r("\u00a0+\u00a0",e.zoomIn),r("\u00a0\u2190\u00a0",e.clickLeftArrow),r("\u00a0\u2193\u00a0",e.clickUpArrow),r("\u00a0\u2191\u00a0",e.clickDownArrow),r("\u00a0\u2192\u00a0",e.clickRightArrow)},getElementById:function(e){return document.getElementById(this.container.id+"_"+e)},resize:function(e,t){}}),JXG.NoRenderer=function(){this.enhancedRendering=!1,this.type="no"},JXG.extend(JXG.NoRenderer.prototype,{drawPoint:function(e){},updatePoint:function(e){},changePointStyle:function(e){},drawLine:function(e){},updateLine:function(e){},drawTicks:function(e){},updateTicks:function(e,t,n,r,i){},drawCurve:function(e){},updateCurve:function(e){},drawEllipse:function(e){},updateEllipse:function(e){},drawPolygon:function(e){},updatePolygon:function(e){},displayCopyright:function(e,t){},drawInternalText:function(e){},updateInternalText:function(e){},drawText:function(e){},updateText:function(e){},updateTextStyle:function(e,t){},updateInternalTextStyle:function(e,t,n){},drawImage:function(e){},updateImage:function(e){},transformImage:function(e,t){},updateImageURL:function(e){},appendChildPrim:function(e,t){},appendNodesToElement:function(e,t){},createPrim:function(e,t){return null},remove:function(e){},makeArrows:function(e){},updateEllipsePrim:function(e,t,n,r,i){},updateLinePrim:function(e,t,n,r,i,s){},updatePathPrim:function(e,t,n){},updatePathStringPoint:function(e,t,n){},updatePathStringPrim:function(e){},updatePathStringBezierPrim:function(e){},updatePolygonPrim:function(e,t){},updateRectPrim:function(e,t,n,r,i){},setPropertyPrim:function(e,t,n){},show:function(e){},hide:function(e){},setBuffering:function(e,t){},setDashStyle:function(e){},setDraft:function(e){},removeDraft:function(e){},setGradient:function(e){},updateGradient:function(e){},setObjectFillColor:function(e,t,n){},setObjectStrokeColor:function(e,t,n){},setObjectStrokeWidth:function(e,t){},setShadow:function(e){},highlight:function(e){},noHighlight:function(e){},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(e){},getElementById:function(e){return null},resize:function(e,t){}}),JXG.FileReader={parseFileContent:function(e,t,n,r){var i=!1;JXG.exists(r)||(r=!0);try{i=new XMLHttpRequest,n.toLowerCase()=="raw"?i.overrideMimeType("text/plain; charset=iso-8859-1"):i.overrideMimeType("text/xml; charset=iso-8859-1")}catch(s){try{i=new ActiveXObject("Msxml2.XMLHTTP")}catch(s){try{i=new ActiveXObject("Microsoft.XMLHTTP")}catch(s){i=!1}}}if(!i){alert("AJAX not activated!");return}i.open("GET",e,r),n.toLowerCase()==="raw"?this.cbp=function(){var e=i;e.readyState==4&&t(e.responseText)}:this.cbp=function(){var e=i;if(e.readyState==4){var r="";typeof e.responseStream=="undefined"||e.responseText.slice(0,2)!="PK"&&JXG.Util.asciiCharCodeAt(e.responseText.slice(0,1),0)!=31?r=e.responseText:r=JXG.Util.Base64.decode(BinFileReader(e)),this.parseString(r,t,n,!1)}},this.cb=JXG.bind(this.cbp,this),i.onreadystatechange=this.cb;try{i.send(null)}catch(s){throw new Error("JSXGraph: A problem occurred while trying to read '"+e+"'.")}},cleanWhitespace:function(e){var t=e.firstChild;while(t!=null)t.nodeType==3&&!/\S/.test(t.nodeValue)?e.removeChild(t):t.nodeType==1&&this.cleanWhitespace(t),t=t.nextSibling},stringToXMLTree:function(e){typeof DOMParser=="undefined"&&(DOMParser=function(){},DOMParser.prototype.parseFromString=function(e,t){if(typeof ActiveXObject!="undefined"){var n=new ActiveXObject("MSXML.DomDocument");return n.loadXML(e),n}});var t=new DOMParser,n=t.parseFromString(e,"text/xml");return this.cleanWhitespace(n),n},parseString:function(e,t,n,r){var i,s,o;n=n.toLowerCase();switch(n){case"cdy":case"cinderella":r&&(e=JXG.Util.Base64.decode(e)),e=JXG.CinderellaReader.readCinderella(e,t),t.xmlString=e;break;case"tracenpoche":t.xmlString=JXG.TracenpocheReader.readTracenpoche(e,t);break;case"graph":e=JXG.GraphReader.readGraph(e,t,!1);break;case"digraph":e=JXG.GraphReader.readGraph(e,t,!0);break;case"geonext":e=JXG.GeonextReader.prepareString(e),o=!0;break;case"geogebra":r=e.slice(0,2)!=="PK",e=JXG.GeogebraReader.prepareString(e,r),o=!0;break;case"intergeo":r&&(e=JXG.Util.Base64.decode(e)),e=JXG.IntergeoReader.prepareString(e),o=!0;break;case"sketch":e=JXG.SketchReader.readSketch(e,t)}o&&(t.xmlString=e,i=this.stringToXMLTree(e),this.readElements(i,t,n))},readElements:function(e,t,n){n.toLowerCase()=="geonext"?(t.suspendUpdate(),e.getElementsByTagName("GEONEXT").length!=0&&JXG.GeonextReader.readGeonext(e,t),t.unsuspendUpdate()):e.getElementsByTagName("geogebra").length!=0?JXG.GeogebraReader.readGeogebra(e,t):n.toLowerCase()=="intergeo"&&JXG.IntergeoReader.readIntergeo(e,t)}},!JXG.isMetroApp()&&typeof navigator!="undefined"&&/msie/i.test(navigator.userAgent)&&!/opera/i.test(navigator.userAgent&&document&&document.write)&&document.write('<script type="text/vbscript">\nFunction Base64Encode(inData)\n  Const Base64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"\n  Dim cOut, sOut, I\n  For I = 1 To LenB(inData) Step 3\n    Dim nGroup, pOut, sGroup\n    nGroup = &H10000 * AscB(MidB(inData, I, 1)) + _\n      &H100 * MyASC(MidB(inData, I + 1, 1)) + MyASC(MidB(inData, I + 2, 1))\n    nGroup = Oct(nGroup)\n    nGroup = String(8 - Len(nGroup), "0") & nGroup\n    pOut = Mid(Base64, CLng("&o" & Mid(nGroup, 1, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 3, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 5, 2)) + 1, 1) + _\n      Mid(Base64, CLng("&o" & Mid(nGroup, 7, 2)) + 1, 1)\n    sOut = sOut + pOut\n  Next\n  Select Case LenB(inData) Mod 3\n    Case 1: \'8 bit final\n      sOut = Left(sOut, Len(sOut) - 2) + "=="\n    Case 2: \'16 bit final\n      sOut = Left(sOut, Len(sOut) - 1) + "="\n  End Select\n  Base64Encode = sOut\nEnd Function\n\nFunction MyASC(OneChar)\n  If OneChar = "" Then MyASC = 0 Else MyASC = AscB(OneChar)\nEnd Function\n\nFunction BinFileReader(xhr)\n    Dim byteString\n    Dim b64String\n    Dim i\n    byteString = xhr.responseBody\n    ReDim byteArray(LenB(byteString))\n    For i = 1 To LenB(byteString)\n        byteArray(i-1) = AscB(MidB(byteString, i, 1))\n    Next\n    b64String = Base64Encode(byteString)\n    BinFileReader = b64String\nEnd Function\n</script>\n'),JXG.GeonextParser={},JXG.GeonextParser.replacePow=function(e){var t,n,r,i,s,o,u,a,f,l,c;e=e.replace(/(\s*)\^(\s*)/g,"^"),f=e.indexOf("^");while(f>=0){a=e.slice(0,f),l=e.slice(f+1);if(a.charAt(a.length-1)==")"){t=1,n=a.length-2;while(n>=0&&t>0)r=a.charAt(n),r==")"?t++:r=="("&&t--,n--;if(t!=0)throw new Error("JSXGraph: Missing '(' in 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n=0,r,i,s,o,u=["X","Y","L","V"];for(o=0;o<u.length;o++){n=e.indexOf(u[o]+"(");while(n>=0)n>=0&&(r=e.indexOf(")",n+2),r>=0&&(i=e.slice(n+2,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+2)+s.id+e.slice(r))),r=e.indexOf(")",n+2),n=e.indexOf(u[o]+"(",r)}n=e.indexOf("Dist(");while(n>=0)n>=0&&(r=e.indexOf(",",n+5),r>=0&&(i=e.slice(n+5,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+5)+s.id+e.slice(r))),r=e.indexOf(",",n+5),n=e.indexOf(",",r),r=e.indexOf(")",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+s.id+e.slice(r)),r=e.indexOf(")",n+1),n=e.indexOf("Dist(",r);u=["Deg","Rad"];for(o=0;o<u.length;o++){n=e.indexOf(u[o]+"(");while(n>=0)n>=0&&(r=e.indexOf(",",n+4),r>=0&&(i=e.slice(n+4,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+4)+s.id+e.slice(r))),r=e.indexOf(",",n+4),n=e.indexOf(",",r),r=e.indexOf(",",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+s.id+e.slice(r)),r=e.indexOf(",",n+1),n=e.indexOf(",",r),r=e.indexOf(")",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+s.id+e.slice(r)),r=e.indexOf(")",n+1),n=e.indexOf(u[o]+"(",r)}return 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n=0,r,i,s,o,u=["X","Y","L","V"];for(o=0;o<u.length;o++){n=e.indexOf(u[o]+"(");while(n>=0)n>=0&&(r=e.indexOf(")",n+2),r>=0&&(i=e.slice(n+2,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+2)+"$('"+s.id+"')"+e.slice(r))),r=e.indexOf(")",n+2),n=e.indexOf(u[o]+"(",r)}n=e.indexOf("Dist(");while(n>=0)n>=0&&(r=e.indexOf(",",n+5),r>=0&&(i=e.slice(n+5,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+5)+"$('"+s.id+"')"+e.slice(r))),r=e.indexOf(",",n+5),n=e.indexOf(",",r),r=e.indexOf(")",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+"$('"+s.id+"')"+e.slice(r)),r=e.indexOf(")",n+1),n=e.indexOf("Dist(",r);u=["Deg","Rad"];for(o=0;o<u.length;o++){n=e.indexOf(u[o]+"(");while(n>=0)n>=0&&(r=e.indexOf(",",n+4),r>=0&&(i=e.slice(n+4,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+4)+"$('"+s.id+"')"+e.slice(r))),r=e.indexOf(",",n+4),n=e.indexOf(",",r),r=e.indexOf(",",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+"$('"+s.id+"')"+e.slice(r)),r=e.indexOf(",",n+1),n=e.indexOf(",",r),r=e.indexOf(")",n+1),r>=0&&(i=e.slice(n+1,r),i=i.replace(/\\(['"])?/g,"$1"),s=t.elementsByName[i],e=e.slice(0,n+1)+"$('"+s.id+"')"+e.slice(r)),r=e.indexOf(")",n+1),n=e.indexOf(u[o]+"(",r)}return e},JXG.Board=function(e,t,n,r,i,s,o,u,a,f,l){this.BOARD_MODE_NONE=0,this.BOARD_MODE_DRAG=1,this.BOARD_MODE_MOVE_ORIGIN=2,this.BOARD_QUALITY_LOW=1,this.BOARD_QUALITY_HIGH=2,this.BOARD_MODE_ZOOM=17,this.BOARD_MODE_CONSTRUCT=16,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=e,this.containerObj=typeof document!="undefined"?document.getElementById(this.container):null;if(typeof document!="undefined"&&this.containerObj==null)throw new Error("\nJSXGraph: HTML container element '"+e+"' not found.");this.renderer=t,this.grids=[],this.options=JXG.deepCopy(JXG.Options),this.dimension=2,this.jc=new JXG.JessieCode,this.jc.use(this),this.origin={},this.origin.usrCoords=[1,0,0],this.origin.scrCoords=[1,r[0],r[1]],this.zoomX=i,this.zoomY=s,this.unitX=o*this.zoomX,this.unitY=u*this.zoomY,this.canvasWidth=a,this.canvasHeight=f,JXG.exists(n)&&n!==""&&typeof document!="undefined"&&!JXG.exists(document.getElementById(n))?this.id=n:this.id=this.generateId(),JXG.EventEmitter.eventify(this),this.hooks=[],this.dependentBoards=[],this.inUpdate=!1,this.objects={},this.objectsList=[],this.groups={},this.animationObjects={},this.highlightedObjects={},this.numObjects=0,this.elementsByName={},this.mode=this.BOARD_MODE_NONE,this.updateQuality=this.BOARD_QUALITY_HIGH,this.isSuspendedRedraw=!1,this.calculateSnapSizes(),this.drag_dx=0,this.drag_dy=0,this.mouse=null,this.touches=[],this.xmlString="",this.cPos=[],this.touchMoveLast=0,this.downObjects=[],this.showCopyright=!1;if(l!=null&&l||l==null&&this.options.showCopyright)this.showCopyright=!0,this.renderer.displayCopyright(JXG.JSXGraph.licenseText,parseInt(this.options.text.fontSize));this.needsFullUpdate=!1,this.reducedUpdate=!1,this.currentCBDef="none",this.geonextCompatibilityMode=!1,this.options.text.useASCIIMathML&&translateASCIIMath?init():this.options.text.useASCIIMathML=!1,this.hasMouseHandlers=!1,this.hasTouchHandlers=!1,this.hasMouseUp=!1,this.hasTouchEnd=!1,this.addEventHandlers(),this.methodMap={update:"update",on:"on",off:"off",setView:"setBoundingBox",setBoundingBox:"setBoundingBox",migratePoint:"migratePoint",colorblind:"emulateColorblindness"}},JXG.extend(JXG.Board.prototype,{generateName:function(e){if(e.type==JXG.OBJECT_TYPE_TICKS)return"";var t,n=2,r="",i="",s=[],o="",u,a;e.elementClass==JXG.OBJECT_CLASS_POINT?t=["","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"]:e.type==JXG.OBJECT_TYPE_ANGLE?t=["","&alpha;","&beta;","&gamma;","&delta;","&epsilon;","&zeta;","&eta;","&theta;","&iota;","&kappa;","&lambda;","&mu;","&nu;","&xi;","&omicron;","&pi;","&rho;","&sigma;","&tau;","&upsilon;","&phi;","&chi;","&psi;","&omega;"]:t=["","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"],e.elementClass!==JXG.OBJECT_CLASS_POINT&&e.elementClass!=JXG.OBJECT_CLASS_LINE&&e.type!=JXG.OBJECT_TYPE_ANGLE&&(e.type===JXG.OBJECT_TYPE_POLYGON?r="P_{":e.elementClass===JXG.OBJECT_CLASS_CIRCLE?r="k_{":e.type===JXG.OBJECT_TYPE_TEXT?r="t_{":r="s_{",i="}");for(u=0;u<n;u++)s[u]=0;while(s[n-1]<t.length){for(s[0]=1;s[0]<t.length;s[0]++){o=r;for(u=n;u>0;u--)o+=t[s[u-1]];if(this.elementsByName[o+i]==null)return o+i}s[0]=t.length;for(u=1;u<n;u++)s[u-1]==t.length&&(s[u-1]=1,s[u]++)}return""},generateId:function(){var e=1;while(JXG.JSXGraph.boards["jxgBoard"+e]!=null)e=Math.round(Math.random()*65535);return"jxgBoard"+e},setId:function(e,t){var n=this.numObjects++,r=e.id;if(r==""||!JXG.exists(r))r=this.id+t+n;return e.id=r,this.objects[r]=e,e._pos=this.objectsList.length,this.objectsList[this.objectsList.length]=e,r},finalizeAdding:function(e){e.visProp.visible||this.renderer.hide(e)},finalizeLabel:function(e){e.hasLabel&&!e.label.content.visProp.islabel&&!e.label.content.visProp.visible&&this.renderer.hide(e.label.content)},getCoordsTopLeftCorner:function(){var e=this.containerObj,t=JXG.getOffset(e),n=document.documentElement.ownerDocument,r=function(t){var n=parseInt(JXG.getStyle(e,t));return isNaN(n)?0:n};return this.cPos.length>0&&(this.mode===JXG.BOARD_MODE_DRAG||this.mode===JXG.BOARD_MODE_MOVE_ORIGIN)?this.cPos:(!e.currentStyle&&n.defaultView&&(e=document.documentElement,t[0]+=r("margin-left"),t[1]+=r("margin-top"),t[0]+=r("border-left-width"),t[1]+=r("border-top-width"),t[0]+=r("padding-left"),t[1]+=r("padding-top"),e=this.containerObj),t[0]+=r("border-left-width"),t[1]+=r("border-top-width"),this.renderer.type!=="vml"&&(t[0]+=r("padding-left"),t[1]+=r("padding-top")),this.cPos=t,t)},getMousePosition:function(e,t){var n=this.getCoordsTopLeftCorner(),r,i;return r=JXG.getPosition(e,t),[r[0]-n[0],r[1]-n[1]]},initMoveOrigin:function(e,t){this.drag_dx=e-this.origin.scrCoords[1],this.drag_dy=t-this.origin.scrCoords[2],this.mode=this.BOARD_MODE_MOVE_ORIGIN},initMoveObject:function(e,t,n,r){var i,s,o=[],u,a=this.objectsList.length,f={visProp:{layer:-1e4}};for(s=0;s<a;s++){i=this.objectsList[s],u=i.hasPoint&&i.hasPoint(e,t),i.visProp.visible&&u&&(i.triggerEventHandlers([r+"down","down"],n),this.downObjects.push(i));if((this.geonextCompatibilityMode&&(i.elementClass==JXG.OBJECT_CLASS_POINT||i.type==JXG.OBJECT_TYPE_TEXT)||!this.geonextCompatibilityMode)&&i.isDraggable&&i.visProp.visible&&!i.visProp.fixed&&!i.visProp.frozen&&u&&i.visProp.layer>=f.visProp.layer){if(JXG.exists(f.label)&&i==f.label.content)continue;f=i,o[0]=f}}return o.length>0&&(this.mode=this.BOARD_MODE_DRAG),this.options.takeFirst&&(o.length=1),o},moveObject:function(e,t,n,r,i){var s=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(e,t),this),o=n.obj,u;o.type!=JXG.OBJECT_TYPE_GLIDER?(isNaN(n.targets[0].Xprev+n.targets[0].Yprev)||o.setPositionDirectly(JXG.COORDS_BY_SCREEN,s.scrCoords.slice(1),[n.targets[0].Xprev,n.targets[0].Yprev]),n.targets[0].Xprev=s.scrCoords[1],n.targets[0].Yprev=s.scrCoords[2],this.update(o)):o.type==JXG.OBJECT_TYPE_GLIDER&&(u=o.coords,o.setPositionDirectly(JXG.COORDS_BY_USER,s.usrCoords.slice(1)),o.slideObject.elementClass==JXG.OBJECT_CLASS_CIRCLE?o.coords=JXG.Math.Geometry.projectPointToCircle(o,o.slideObject,this):o.slideObject.elementClass==JXG.OBJECT_CLASS_LINE&&(o.coords=JXG.Math.Geometry.projectPointToLine(o,o.slideObject,this)),o.group.length!=0?(o.group[o.group.length-1].dX=o.coords.scrCoords[1]-u.scrCoords[1],o.group[o.group.length-1].dY=o.coords.scrCoords[2]-u.scrCoords[2],o.group[o.group.length-1].update(this)):this.update(o)),o.triggerEventHandlers([i+"drag","drag"],r),this.updateInfobox(o),this.update(),o.highlight(!0)},twoFingerMove:function(e,t,n,r){var i,s,o;if(!JXG.exists(n)||!JXG.exists(n.obj))return;o=n.obj,i=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(e[0],e[1]),this),s=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t[0],t[1]),this),o.elementClass===JXG.OBJECT_CLASS_LINE||o.type===JXG.OBJECT_TYPE_POLYGON?this.twoFingerTouchObject(i,s,n,o):o.elementClass===JXG.OBJECT_CLASS_CIRCLE&&this.twoFingerTouchCircle(i,s,n,o),o.triggerEventHandlers(["touchdrag","drag"],r),n.targets[0].Xprev=i.scrCoords[1],n.targets[0].Yprev=i.scrCoords[2],n.targets[1].Xprev=s.scrCoords[1],n.targets[1].Yprev=s.scrCoords[2]},twoFingerTouchObject:function(e,t,n,r){var i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b;if(JXG.exists(n.targets[0])&&JXG.exists(n.targets[1])&&!isNaN(n.targets[0].Xprev+n.targets[0].Yprev+n.targets[1].Xprev+n.targets[1].Yprev)){i=e.usrCoords,s=t.usrCoords,o=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[n.targets[0].Xprev,n.targets[0].Yprev],this)).usrCoords,u=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[n.targets[1].Xprev,n.targets[1].Yprev],this)).usrCoords,f=[1,(o[1]+u[1])*.5,(o[2]+u[2])*.5],a=[1,(i[1]+s[1])*.5,(i[2]+s[2])*.5],c=JXG.Math.crossProduct(o,u),l=JXG.Math.crossProduct(i,s),p=JXG.Math.crossProduct(c,l);if(Math.abs(p[0])<JXG.Math.eps)return;p[1]/=p[0],p[2]/=p[0],d=JXG.Math.Geometry.rad(f.slice(1),p.slice(1),a.slice(1)),v=this.create("transform",[d,p[1],p[2]],{type:"rotate"}),v.update(),f=JXG.Math.matVecMult(v.matrix,f),f[1]/=f[0],f[2]/=f[0],m=this.create("transform",[a[1]-f[1],a[2]-f[2]],{type:"translate"}),m.update(),v.melt(m),r.visProp.scalable&&(h=JXG.Math.Geometry.distance(i,s)/JXG.Math.Geometry.distance(o,u),g=this.create("transform",[-a[1],-a[2]],{type:"translate"}),y=this.create("transform",[h,h],{type:"scale"}),b=this.create("transform",[a[1],a[2]],{type:"translate"}),v.melt(g).melt(y).melt(b)),r.elementClass===JXG.OBJECT_CLASS_LINE?v.applyOnce([r.point1,r.point2]):r.type===JXG.OBJECT_TYPE_POLYGON&&v.applyOnce(r.vertices.slice(0,-1)),this.update(),r.highlight(!0)}},twoFingerTouchCircle:function(e,t,n,r){var i,s,o,u,a,f,l,c,h,p,d;if(r.method==="pointCircle"||r.method==="pointLine")return;JXG.exists(n.targets[0])&&JXG.exists(n.targets[1])&&!isNaN(n.targets[0].Xprev+n.targets[0].Yprev+n.targets[1].Xprev+n.targets[1].Yprev)&&(i=e.usrCoords,s=t.usrCoords,o=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[n.targets[0].Xprev,n.targets[0].Yprev],this)).usrCoords,u=(new JXG.Coords(JXG.COORDS_BY_SCREEN,[n.targets[1].Xprev,n.targets[1].Yprev],this)).usrCoords,l=this.create("transform",[i[1]-o[1],i[2]-o[2]],{type:"translate"}),f=JXG.Math.Geometry.rad(u.slice(1),i.slice(1),s.slice(1)),c=this.create("transform",[-i[1],-i[2]],{type:"translate"}),h=this.create("transform",[f],{type:"rotate"}),l.melt(c).melt(h),r.visProp.scalable&&(a=JXG.Math.Geometry.distance(i,s)/JXG.Math.Geometry.distance(o,u),p=this.create("transform",[a,a],{type:"scale"}),l.melt(p)),d=this.create("transform",[i[1],i[2]],{type:"translate"}),l.melt(d),l.applyOnce([r.center]),r.method==="twoPoints"?l.applyOnce([r.point2]):r.method==="pointRadius"&&JXG.isNumber(r.updateRadius.origin)&&r.setRadius(r.radius*a),this.update(r.center),r.highlight(!0))},highlightElements:function(e,t,n,r){var i,s,o,u=this.objectsList.length;for(i=0;i<u;i++)s=this.objectsList[i],o=s.id,s.visProp.highlight&&JXG.exists(s.hasPoint)&&s.visProp.visible&&s.hasPoint(e,t)&&(this.updateInfobox(s),JXG.exists(this.highlightedObjects[o])||(this.highlightedObjects[o]=s,s.highlight(),this.triggerEventHandlers(["mousehit","hit"],n,s,r)),s.mouseover?s.triggerEventHandlers(["mousemove","move"],n):(s.triggerEventHandlers(["mouseover","over"],n),s.mouseover=!0));for(i=0;i<u;i++)s=this.objectsList[i],o=s.id,s.mouseover&&(this.highlightedObjects[o]||(s.triggerEventHandlers(["mouseout","out"],n),s.mouseover=!1))},saveStartPos:function(e,t){var n=[],r,i;if(e.elementClass==JXG.OBJECT_CLASS_LINE)n.push(e.point1.coords.usrCoords),n.push(e.point2.coords.usrCoords);else if(e.elementClass==JXG.OBJECT_CLASS_CIRCLE)n.push(e.center.coords.usrCoords);else if(e.type==JXG.OBJECT_TYPE_GLIDER)n.push([e.position,e.position,e.position]);else if(e.type==JXG.OBJECT_TYPE_POLYGON){i=e.vertices.length-1;for(r=0;r<i;r++)n.push(e.vertices[r].coords.usrCoords)}else if(e.elementClass==JXG.OBJECT_CLASS_POINT)n.push(e.coords.usrCoords);else try{n.push(e.coords.usrCoords)}catch(s){JXG.debug("JSXGraph+ saveStartPos: obj.coords.usrCoords not available: "+s)}i=n.length;for(r=0;r<i;r++)t.Zstart.push(n[r][0]),t.Xstart.push(n[r][1]),t.Ystart.push(n[r][2])},mouseOriginMoveStart:function(e){var t=this.options.pan.enabled&&(!this.options.pan.needShift||e.shiftKey);if(t){var n=this.getMousePosition(e);this.initMoveOrigin(n[0],n[1])}return t},mouseOriginMove:function(e){var t=this.mode===this.BOARD_MODE_MOVE_ORIGIN;if(t){var n=this.getMousePosition(e);this.moveOrigin(n[0],n[1],!0)}return t},touchOriginMoveStart:function(e){var t=e[JXG.touchProperty],n=t.length==2&&JXG.Math.Geometry.distance([t[0].screenX,t[0].screenY],[t[1].screenX,t[1].screenY])<80,r=this.options.pan.enabled&&(!this.options.pan.needTwoFingers||n);if(r){var i=this.getMousePosition(e,0);this.initMoveOrigin(i[0],i[1])}return r},touchOriginMove:function(e){var t=this.mode===this.BOARD_MODE_MOVE_ORIGIN;if(t){var n=this.getMousePosition(e,0);this.moveOrigin(n[0],n[1],!0)}return t},originMoveEnd:function(){this.mode=this.BOARD_MODE_NONE},addEventHandlers:function(){this.addMouseEventHandlers(),this.addTouchEventHandlers()},addMouseEventHandlers:function(){!this.hasMouseHandlers&&typeof document!="undefined"&&(JXG.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this),JXG.addEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),JXG.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),JXG.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!0,this.containerObj.oncontextmenu=function(e){return JXG.exists(e)&&e.preventDefault(),!1})},addTouchEventHandlers:function(){!this.hasTouchHandlers&&typeof document!="undefined"&&(JXG.addEvent(this.containerObj,"touchstart",this.touchStartListener,this),JXG.addEvent(this.containerObj,"touchmove",this.touchMoveListener,this),JXG.addEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),JXG.addEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this),this.hasTouchHandlers=!0)},removeMouseEventHandlers:function(){this.hasMouseHandlers&&typeof document!="undefined"&&(JXG.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),JXG.removeEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),this.hasMouseUp&&(JXG.removeEvent(document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),JXG.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),JXG.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!1)},removeTouchEventHandlers:function(){this.hasTouchHandlers&&typeof document!="undefined"&&(JXG.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),JXG.removeEvent(this.containerObj,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(JXG.removeEvent(document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),JXG.removeEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),JXG.removeEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this),this.hasTouchHandlers=!1)},removeEventHandlers:function(){this.removeMouseEventHandlers(),this.removeTouchEventHandlers()},clickLeftArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]+this.canvasWidth*.1,this.origin.scrCoords[2]),this},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-this.canvasWidth*.1,this.origin.scrCoords[2]),this},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-this.canvasHeight*.1),this},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+this.canvasHeight*.1),this},gestureChangeListener:function(e){var t,n=this.options.zoom.factorX,r=this.options.zoom.factorY;return this.options.zoom.wheel?(e.preventDefault(),this.mode===this.BOARD_MODE_NONE&&(t=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getMousePosition(e),this),this.options.zoom.factorX=e.scale/this.prevScale,this.options.zoom.factorY=e.scale/this.prevScale,this.zoomIn(t.usrCoords[1],t.usrCoords[2]),this.prevScale=e.scale,this.options.zoom.factorX=n,this.options.zoom.factorY=r),!1):!0},gestureStartListener:function(e){return this.options.zoom.wheel?(e.preventDefault(),this.prevScale=1,!1):!0},touchStartListener:function(e,t){var n,r,i,s,o,u=this.options.precision.touch,a,f,l,c=e[JXG.touchProperty];this.hasTouchEnd||(JXG.addEvent(document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),document.selection&&typeof document.selection.empty=="function"?document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this.options.precision.hasPoint=this.options.precision.touch;for(n=0;n<c.length;n++)c[n].jxg_isused=!1;for(n=0;n<this.touches.length;n++)for(s=0;s<this.touches[n].targets.length;s++){this.touches[n].targets[s].num=-1,u=this.options.precision.touch;do{for(o=0;o<c.length;o++)if(Math.abs(Math.pow(c[o].screenX-this.touches[n].targets[s].X,2)+Math.pow(c[o].screenY-this.touches[n].targets[s].Y,2))<u*u){this.touches[n].targets[s].num=o,this.touches[n].targets[s].X=c[o].screenX,this.touches[n].targets[s].Y=c[o].screenY,c[o].jxg_isused=!0;break}u*=2}while(this.touches[n].targets[s].num==-1&&u<this.options.precision.touchMax);this.touches[n].targets[s].num===-1&&(JXG.debug("i couldn't find a targettouches for target no "+s+" on "+this.touches[n].obj.name+" ("+this.touches[n].obj.id+"). Removed the target."),JXG.debug("eps = "+u+", touchMax = "+JXG.Options.precision.touchMax),this.touches[n].targets.splice(n,1))}for(n=0;n<c.length;n++)if(t||!c[n].jxg_isused){r=this.getMousePosition(e,n),t?(i=[t],this.mode=this.BOARD_MODE_DRAG):i=this.initMoveObject(r[0],r[1],e,"touch");if(i.length!=0){a=i[i.length-1];if(JXG.isPoint(a)||a.type===JXG.OBJECT_TYPE_TEXT||a.type===JXG.OBJECT_TYPE_TICKS)l=[{num:n,X:c[n].screenX,Y:c[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(a,l[0]),this.touches.push({obj:a,targets:l}),this.highlightedObjects[a.id]=a,a.highlight(!0);else if(a.elementClass===JXG.OBJECT_CLASS_LINE||a.elementClass===JXG.OBJECT_CLASS_CIRCLE||a.type===JXG.OBJECT_TYPE_POLYGON){f=!1;for(s=0;s<this.touches.length;s++)if(a.id===this.touches[s].obj.id){f=!0;if(this.touches[s].targets.length===1){var h={num:n,X:c[n].screenX,Y:c[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]};this.saveStartPos(a,h),this.touches[s].targets.push(h)}c[n].jxg_isused=!0}f||(l=[{num:n,X:c[n].screenX,Y:c[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(a,l[0]),this.touches.push({obj:a,targets:l}),this.highlightedObjects[a.id]=a,a.highlight(!0))}}c[n].jxg_isused=!0}this.touches.length>0&&(e.preventDefault(),e.stopPropagation());if(this.mode===this.BOARD_MODE_NONE&&this.touchOriginMoveStart(e))return this.triggerEventHandlers(["touchstart","down"],e),!1;if(JXG.isWebkitAndroid()){var p=new Date;this.touchMoveLast=p.getTime()-200}return this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down"],e),this.touches.length>0},touchMoveListener:function(e){var t,n=0,r,i=e[JXG.touchProperty];this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation());if(JXG.isWebkitAndroid()){var s=new Date;s=s.getTime();if(s-this.touchMoveLast<80)return this.updateQuality=this.BOARD_QUALITY_HIGH,this.triggerEventHandlers(["touchmove","move"],e,this.mode),!1;this.touchMoveLast=s}this.mode!=this.BOARD_MODE_DRAG&&this.renderer.hide(this.infobox),this.options.precision.hasPoint=this.options.precision.touch;if(!this.touchOriginMove(e)&&this.mode==this.BOARD_MODE_DRAG)for(t=0;t<this.touches.length;t++)this.touches[t].targets.length===1?i[this.touches[t].targets[0].num]&&(this.touches[t].targets[0].X=i[this.touches[t].targets[0].num].screenX,this.touches[t].targets[0].Y=i[this.touches[t].targets[0].num].screenY,r=this.getMousePosition(e,this.touches[t].targets[0].num),this.moveObject(r[0],r[1],this.touches[t],e,"touch")):this.touches[t].targets.length===2&&this.touches[t].targets[0].num>-1&&this.touches[t].targets[1].num>-1&&i[this.touches[t].targets[0].num]&&i[this.touches[t].targets[1].num]&&(this.touches[t].targets[0].X=i[this.touches[t].targets[0].num].screenX,this.touches[t].targets[0].Y=i[this.touches[t].targets[0].num].screenY,this.touches[t].targets[1].X=i[this.touches[t].targets[1].num].screenX,this.touches[t].targets[1].Y=i[this.touches[t].targets[1].num].screenY,this.twoFingerMove(this.getMousePosition(e,this.touches[t].targets[0].num),this.getMousePosition(e,this.touches[t].targets[1].num),this.touches[t],e));return this.mode!=this.BOARD_MODE_DRAG&&this.renderer.hide(this.infobox),this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchmove","move"],e,this.mode),this.mode===this.BOARD_MODE_NONE},touchEndListener:function(e){var t,n,r,i=this.options.precision.touch,s=[],o,u,a=e[JXG.touchProperty];this.triggerEventHandlers(["touchend","up"],e),this.renderer.hide(this.infobox);if(a.length>0){for(t=0;t<this.touches.length;t++)s[t]=this.touches[t];this.touches.length=0;for(t=0;t<a.length;t++)a[t].jxg_isused=!1;for(t=0;t<s.length;t++){o=!1,u=0;for(n=0;n<s[t].targets.length;n++){s[t].targets[n].found=!1;for(r=0;r<a.length;r++)if(Math.abs(Math.pow(a[r].screenX-s[t].targets[n].X,2)+Math.pow(a[r].screenY-s[t].targets[n].Y,2))<i*i){s[t].targets[n].found=!0,s[t].targets[n].num=r,s[t].targets[n].X=a[r].screenX,s[t].targets[n].Y=a[r].screenY,u++;break}}JXG.isPoint(s[t].obj)?o=s[t].targets[0]&&s[t].targets[0].found:s[t].obj.elementClass===JXG.OBJECT_CLASS_LINE?o=s[t].targets[0]&&s[t].targets[0].found||s[t].targets[1]&&s[t].targets[1].found:s[t].obj.elementClass===JXG.OBJECT_CLASS_CIRCLE&&(o=u===1||u===3);if(o){this.touches.push({obj:s[t].obj,targets:[]});for(n=0;n<s[t].targets.length;n++)s[t].targets[n].found&&this.touches[this.touches.length-1].targets.push({num:s[t].targets[n].num,X:s[t].targets[n].screenX,Y:s[t].targets[n].screenY,Xprev:NaN,Yprev:NaN,Xstart:s[t].targets[n].Xstart,Ystart:s[t].targets[n].Ystart,Zstart:s[t].targets[n].Zstart})}else delete this.highlightedObjects[s[t].obj.id],s[t].obj.noHighlight()}}else this.touches.length=0;for(t=0;t<this.downObjects.length;t++){o=!1;for(n=0;n<this.touches.length;n++)this.touches[n].obj.id==this.downObjects[t].id&&(o=!0);o||(this.downObjects[t].triggerEventHandlers(["touchup","up"],e),this.downObjects[t].snapToGrid(),this.downObjects.splice(t,1))}if(!a||a.length===0)JXG.removeEvent(document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1,this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),this.update();return!0},mouseDownListener:function(e,t){var n,r,i,s,o;return document.selection&&typeof document.selection.empty=="function"?document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this.hasMouseUp||(JXG.addEvent(document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!0),n=this.getMousePosition(e),t?(r=[t],this.mode=this.BOARD_MODE_DRAG):r=this.initMoveObject(n[0],n[1],e,"mouse"),r.length==0?(this.mode=this.BOARD_MODE_NONE,s=!0):(this.mouse={obj:null,targets:[{X:n[0],Y:n[1],Xprev:NaN,Yprev:NaN}]},this.mouse.obj=r[r.length-1],this.dehighlightAll(),this.highlightedObjects[this.mouse.obj.id]=this.mouse.obj,this.mouse.obj.highlight(!0),this.mouse.targets[0].Xstart=[],this.mouse.targets[0].Ystart=[],this.mouse.targets[0].Zstart=[],this.saveStartPos(this.mouse.obj,this.mouse.targets[0]),e&&e.preventDefault?e.preventDefault():window.event&&(window.event.returnValue=!1)),this.mode===this.BOARD_MODE_NONE&&(s=this.mouseOriginMoveStart(e)),t||this.triggerEventHandlers(["mousedown","down"],e),s},mouseUpListener:function(e){var t;this.triggerEventHandlers(["mouseup","up"],e),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mouse&&this.mouse.obj&&this.mouse.obj.snapToGrid(),this.originMoveEnd(),this.dehighlightAll(),this.update();for(t=0;t<this.downObjects.length;t++)this.downObjects[t].triggerEventHandlers(["mouseup","up"],e);this.downObjects.length=0,this.hasMouseUp&&(JXG.removeEvent(document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.mouse=null},mouseMoveListener:function(e){var t;t=this.getMousePosition(e),this.updateQuality=this.BOARD_QUALITY_LOW,this.mode!=this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.renderer.hide(this.infobox)),this.mouseOriginMove(e)||(this.mode==this.BOARD_MODE_DRAG?this.moveObject(t[0],t[1],this.mouse,e,"mouse"):this.highlightElements(t[0],t[1],e,-1)),this.updateQuality=this.BOARD_QUALITY_HIGH,this.triggerEventHandlers(["mousemove","move"],e,this.mode)},mouseWheelListener:function(e){if(!this.options.zoom.wheel||this.options.zoom.needShift&&!e.shiftKey)return!0;e=e||window.event;var t=e.detail?e.detail*-1:e.wheelDelta/40,n=new JXG.Coords(JXG.COORDS_BY_SCREEN,this.getMousePosition(e),this);return t>0?this.zoomIn(n.usrCoords[1],n.usrCoords[2]):this.zoomOut(n.usrCoords[1],n.usrCoords[2]),e.preventDefault(),!1},updateInfobox:function(e){var t,n,r,i;return e.visProp.showinfobox?(e.elementClass==JXG.OBJECT_CLASS_POINT&&(r=e.coords.usrCoords[1],i=e.coords.usrCoords[2],this.infobox.setCoords(r+this.infobox.distanceX/this.unitX,i+this.infobox.distanceY/this.unitY),typeof e.infoboxText!="string"?(e.visProp.infoboxdigits==="auto"?(t=JXG.autoDigits(r),n=JXG.autoDigits(i)):JXG.isNumber(e.visProp.infoboxdigits)?(t=r.toFixed(e.visProp.infoboxdigits),n=i.toFixed(e.visProp.infoboxdigits)):(t=r,n=i),this.highlightInfobox(t,n,e)):this.highlightCustomInfobox(e.infoboxText,e),this.renderer.show(this.infobox)),this):this},highlightCustomInfobox:function(e){return this.infobox.setText(e),this},highlightInfobox:function(e,t,n){return this.highlightCustomInfobox("("+e+", "+t+")"),this},dehighlightAll:function(){var e,t,n=!1;for(e in this.highlightedObjects)t=this.highlightedObjects[e],this.hasMouseHandlers&&t.noHighlight(),n=!0;return this.highlightedObjects={},this.options.renderer=="canvas"&&n&&(this.prepareUpdate(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw()),this},getScrCoordsOfMouse:function(e,t){return[e,t]},getUsrCoordsOfMouse:function(e){var t=this.getCoordsTopLeftCorner(),n=JXG.getPosition(e),r=n[0]-t[0],i=n[1]-t[1],s=new JXG.Coords(JXG.COORDS_BY_SCREEN,[r,i],this);return s.usrCoords.slice(1)},getAllUnderMouse:function(e){var t=this.getAllObjectsUnderMouse(e);return t.push(this.getUsrCoordsOfMouse(e)),t},getAllObjectsUnderMouse:function(e){var t=this.getCoordsTopLeftCorner(),n=JXG.getPosition(e),r=n[0]-t[0],i=n[1]-t[1],s=[],o,u,a=this.objectsList.length;for(o=0;o<a;o++)u=this.objectsList[o],u.visProp.visible&&u.hasPoint&&u.hasPoint(r,i)&&(s[s.length]=u);return s},moveOrigin:function(e,t,n){var r,i,s=this.objectsList.length;JXG.exists(e)&&JXG.exists(t)&&(this.origin.scrCoords[1]=e,this.origin.scrCoords[2]=t,n&&(this.origin.scrCoords[1]-=this.drag_dx,this.origin.scrCoords[2]-=this.drag_dy));for(i=0;i<s;i++)r=this.objectsList[i],!r.visProp.frozen&&(r.elementClass==JXG.OBJECT_CLASS_POINT||r.elementClass==JXG.OBJECT_CLASS_CURVE||r.type==JXG.OBJECT_TYPE_AXIS||r.type==JXG.OBJECT_TYPE_TEXT)&&r.elementClass!=JXG.OBJECT_CLASS_CURVE&&r.type!=JXG.OBJECT_TYPE_AXIS&&r.coords.usr2screen();return this.clearTraces(),this.fullUpdate(),this},addConditions:function(e){var t="var el, x, y, c, rgbo;\n",n=e.indexOf("<data>"),r=e.indexOf("</data>"),i,s,o,u,a,f;if(n<0)return;while(n>=0){i=e.slice(n+6,r),s=i.indexOf("="),o=i.slice(0,s),u=i.slice(s+1),s=o.indexOf("."),a=o.slice(0,s),f=this.elementsByName[JXG.unescapeHTML(a)];var l=o.slice(s+1).replace(/\s+/g,"").toLowerCase();u=JXG.GeonextParser.geonext2JS(u,this),u=u.replace(/this\.board\./g,"this."),JXG.exists(this.elementsByName[a])||JXG.debug("debug conditions: |"+a+"| undefined"),t+='el = this.objects["'+f.id+'"];\n';switch(l){case"x":t+="var y=el.coords.usrCoords[2];\n",t+="el.setPositionDirectly(JXG.COORDS_BY_USER,["+u+",y]);\n",t+="el.prepareUpdate().update();\n";break;case"y":t+="var x=el.coords.usrCoords[1];\n",t+="el.coords=new JXG.Coords(JXG.COORDS_BY_USER,[x,"+u+"],this);\n",t+="el.setPositionDirectly(JXG.COORDS_BY_USER,[x,"+u+"]);\n",t+="el.prepareUpdate().update();\n";break;case"visible":t+="var c="+u+";\n",t+="el.visProp.visible = c;\n",t+="if (c) {el.showElement();} else {el.hideElement();}\n";break;case"position":t+="el.position = "+u+";\n",t+="el.prepareUpdate().update(true);\n";break;case"stroke":t+="rgbo = JXG.rgba2rgbo("+u+");\n",t+="el.visProp.strokecolor = rgbo[0];\n",t+="el.visProp.strokeopacity = rgbo[1];\n";break;case"style":t+="el.setStyle("+u+");\n";break;case"strokewidth":t+="el.strokeWidth = "+u+";\n";break;case"fill":t+="var rgbo = JXG.rgba2rgbo("+u+");\n",t+="el.visProp.fillcolor = rgbo[0];\n",t+="el.visProp.fillopacity = rgbo[1];\n";break;case"label":break;default:JXG.debug("property '"+l+"' in conditions not yet implemented:"+u)}e=e.slice(r+7),n=e.indexOf("<data>"),r=e.indexOf("</data>")}t+="this.prepareUpdate().updateElements();\n",t+="return true;\n",t=t.replace(/&lt;/g,"<"),t=t.replace(/&gt;/g,">"),t=t.replace(/&amp;/g,"&"),this.updateConditions=new Function(t),this.updateConditions()},updateConditions:function(){return!1},calculateSnapSizes:function(){var e=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this),t=new JXG.Coords(JXG.COORDS_BY_USER,[this.options.grid.gridX,this.options.grid.gridY],this),n=e.scrCoords[1]-t.scrCoords[1],r=e.scrCoords[2]-t.scrCoords[2];this.options.grid.snapSizeX=this.options.grid.gridX;while(Math.abs(n)>25)this.options.grid.snapSizeX*=2,n/=2;this.options.grid.snapSizeY=this.options.grid.gridY;while(Math.abs(r)>25)this.options.grid.snapSizeY*=2,r/=2;return this},applyZoom:function(){var e,t,n=this.objectsList.length;for(t=0;t<n;t++)e=this.objectsList[t],!e.visProp.frozen&&(e.elementClass==JXG.OBJECT_CLASS_POINT||e.elementClass==JXG.OBJECT_CLASS_CURVE||e.type==JXG.OBJECT_TYPE_AXIS||e.type==JXG.OBJECT_TYPE_TEXT)&&e.elementClass!=JXG.OBJECT_CLASS_CURVE&&e.type!=JXG.OBJECT_TYPE_AXIS&&e.coords.usr2screen();return this.calculateSnapSizes(),this.clearTraces(),this.fullUpdate(),this},zoomIn:function(e,t){var n=this.getBoundingBox(),r=this.options.zoom.factorX,i=this.options.zoom.factorY,s=(n[2]-n[0])*(1-1/r),o=(n[1]-n[3])*(1-1/i),u=.5,a=.5;return typeof e=="number"&&typeof t=="number"&&(u=(e-n[0])/(n[2]-n[0]),a=(n[1]-t)/(n[1]-n[3])),this.setBoundingBox([n[0]+s*u,n[1]-o*a,n[2]-s*(1-u),n[3]+o*(1-a)],!1),this.zoomX*=r,this.zoomY*=i,this.applyZoom(),this},zoomOut:function(e,t){var n=this.getBoundingBox(),r=this.options.zoom.factorX,i=this.options.zoom.factorY,s=(n[2]-n[0])*(1-r),o=(n[1]-n[3])*(1-i),u=.5,a=.5;return this.zoomX<JXG.Options.zoom.eps||this.zoomY<JXG.Options.zoom.eps?this:(typeof e=="number"&&typeof t=="number"&&(u=(e-n[0])/(n[2]-n[0]),a=(n[1]-t)/(n[1]-n[3])),this.setBoundingBox([n[0]+s*u,n[1]-o*a,n[2]-s*(1-u),n[3]+o*(1-a)],!1),this.zoomX/=r,this.zoomY/=i,this.applyZoom(),this)},zoom100:function(){var e=this.getBoundingBox(),t=(e[2]-e[0])*(1-this.zoomX)*.5,n=(e[1]-e[3])*(1-this.zoomY)*.5;return this.setBoundingBox([e[0]+t,e[1]-n,e[2]-t,e[3]+n],!1),this.zoomX=1,this.zoomY=1,this.applyZoom(),this},zoomAllPoints:function(){var e=0,t=0,n=0,r=0,i,s,o,u,a=this.objectsList.length,f;for(i=0;i<a;i++)f=this.objectsList[i],JXG.isPoint(f)&&f.visProp.visible&&(f.coords.usrCoords[1]<e?e=f.coords.usrCoords[1]:f.coords.usrCoords[1]>t&&(t=f.coords.usrCoords[1]),f.coords.usrCoords[2]>r?r=f.coords.usrCoords[2]:f.coords.usrCoords[2]<n&&(n=f.coords.usrCoords[2]));return s=50,o=s/this.unitX,u=s/this.unitY,this.zoomX=1,this.zoomY=1,this.setBoundingBox([e-o,r+u,t+o,n-u],!0),this.applyZoom(),this},zoomElements:function(e){var t,n,r,i,s=[0,0,0,0],o=[1,-1,-1,1];if(!JXG.isArray(e)||e.length===0)return this;for(t=0;t<e.length;t++){r=JXG.getRef(this,e[t]),i=r.bounds();if(JXG.isArray(i))if(JXG.isArray(s))for(n=0;n<4;n++)o[n]*i[n]<o[n]*s[n]&&(s[n]=i[n]);else s=i}if(JXG.isArray(s)){for(n=0;n<4;n++)s[n]-=o[n];this.zoomX=1,this.zoomY=1,this.setBoundingBox(s,!0)}return this},setZoom:function(e,t){var n=this.options.zoom.factorX,r=this.options.zoom.factorY;return this.options.zoom.factorX=e/this.zoomX,this.options.zoom.factorY=t/this.zoomY,this.zoomIn(),this.options.zoom.factorX=n,this.options.zoom.factorY=r,this},removeObject:function(e){var t,n;if(JXG.isArray(e)){for(n=0;n<e.length;n++)this.removeObject(e[n]);return this}e=JXG.getReference(this,e);if(!JXG.exists(e))return this;try{for(t in e.childElements)e.childElements[t].board.removeObject(e.childElements[t]);for(t in this.objects)JXG.exists(this.objects[t].childElements)&&(delete this.objects[t].childElements[e.id],delete this.objects[t].descendants[e.id]);if(e._pos>-1){this.objectsList.splice(e._pos,1);for(t=e._pos;t<this.objectsList.length;t++)this.objectsList[t]._pos--}else JXG.debug("object "+e.id+" not found in list.");delete this.objects[e.id],delete this.elementsByName[e.name],e.visProp&&e.visProp.trace&&e.clearTrace(),JXG.exists(e.remove)&&e.remove()}catch(r){JXG.debug(e.id+": Could not be removed: "+r)}return this.update(),this},removeAncestors:function(e){for(var t in e.ancestors)this.removeAncestors(e.ancestors[t]);return this.removeObject(e),this},initGeonextBoard:function(){var e,t,n,r,i;return e=this.create("point",[0,0],{id:this.id+"g00e0",name:"Ursprung",withLabel:!1,visible:!1,fixed:!0}),t=this.create("point",[1,0],{id:this.id+"gX0e0",name:"Punkt_1_0",withLabel:!1,visible:!1,fixed:!0}),n=this.create("point",[0,1],{id:this.id+"gY0e0",name:"Punkt_0_1",withLabel:!1,visible:!1,fixed:!0}),r=this.create("line",[e,t],{id:this.id+"gXLe0",name:"X-Achse",withLabel:!1,visible:!1}),i=this.create("line",[e,n],{id:this.id+"gYLe0",name:"Y-Achse",withLabel:!1,visible:!1}),this},initInfobox:function(){var e=JXG.copyAttributes({},this.options,"infobox");return e.id=this.id+"_infobox",this.infobox=this.create("text",[0,0,"0,0"],e),this.infobox.distanceX=-20,this.infobox.distanceY=25,this.infobox.needsUpdateSize=!1,this.infobox.dump=!1,this.renderer.hide(this.infobox),this},resizeContainer:function(e,t){return this.canvasWidth=parseFloat(e),this.canvasHeight=parseFloat(t),this.containerObj.style.width=this.canvasWidth+"px",this.containerObj.style.height=this.canvasHeight+"px",this.renderer.resize(this.canvasWidth,this.canvasHeight),this},showDependencies:function(){var e,t,n,r,i;t="<p>\n";for(e in this.objects){i=0;for(n in this.objects[e].childElements)i++;i>=0&&(t+="<b>"+this.objects[e].id+":<"+"/b> ");for(n in this.objects[e].childElements)t+=this.objects[e].childElements[n].id+"("+this.objects[e].childElements[n].name+")"+", ";t+="<p>\n"}return t+="</p>\n",r=window.open(),r.document.open(),r.document.write(t),r.document.close(),this},showXML:function(){var e=window.open("");return e.document.open(),e.document.write("<pre>"+JXG.escapeHTML(this.xmlString)+"<"+"/pre>"),e.document.close(),this},prepareUpdate:function(){var e,t,n=this.objectsList.length;for(e=0;e<n;e++)t=this.objectsList[e],t.needsUpdate=t.needsRegularUpdate||this.needsFullUpdate;return this},updateElements:function(e){var t,n;e=JXG.getRef(this,e);for(t=0;t<this.objectsList.length;t++)n=this.objectsList[t],n.update(!JXG.exists(e)||n.id!==e.id);return this},updateRenderer:function(e){var t,n,r=this.objectsList.length;if(this.options.renderer=="canvas")this.updateRendererCanvas(e);else for(t=0;t<r;t++)n=this.objectsList[t],n.updateRenderer();return this},updateRendererCanvas:function(e){var t,n,r,i=this.objectsList.length,s=this.options.layer,o=this.options.layer.numlayers,u=Number.NEGATIVE_INFINITY,a,f;for(r=0;r<o;r++){a=Number.POSITIVE_INFINITY;for(f in s)s[f]>u&&s[f]<a&&(a=s[f]);u=a;for(t=0;t<i;t++)n=this.objectsList[t],n.visProp.layer===a&&n.prepareUpdate().updateRenderer()}return this},addHook:function(e,t,n){return t=JXG.def(t,"update"),n=JXG.def(n,this),this.hooks.push([t,e]),this.on(t,e,n),this.hooks.length-1},addEvent:JXG.shortcut(JXG.Board.prototype,"on"),removeHook:function(e){return this.hooks[e]&&(this.off(this.hooks[e][0],this.hooks[e][1]),this.hooks[e]=null),this},removeEvent:JXG.shortcut(JXG.Board.prototype,"off"),updateHooks:function(e){return arguments[0]=JXG.def(arguments[0],"update"),this.triggerEventHandlers.apply(this,arguments),this},addChild:function(e){return e!==null&&JXG.exists(e.containerObj)&&(this.dependentBoards.push(e),this.update()),this},removeChild:function(e){var t;for(t=this.dependentBoards.length-1;t>=0;t--)this.dependentBoards[t]==e&&this.dependentBoards.splice(t,1);return this},update:function(e){var t,n,r,i;if(this.inUpdate||this.isSuspendedUpdate)return this;this.inUpdate=!0,this.prepareUpdate(e).updateElements(e).updateConditions(),this.renderer.suspendRedraw(this),this.updateRenderer(e),this.renderer.unsuspendRedraw(),this.triggerEventHandlers("update"),n=this.dependentBoards.length;for(t=0;t<n;t++)r=this.dependentBoards[t].id,i=JXG.JSXGraph.boards[r],i!=this&&(i.updateQuality=this.updateQuality,i.prepareUpdate().updateElements().updateConditions(),i.renderer.suspendRedraw(),i.updateRenderer(),i.renderer.unsuspendRedraw(),i.triggerEventHandlers("update"));return this.inUpdate=!1,this},fullUpdate:function(){return this.needsFullUpdate=!0,this.update(),this.needsFullUpdate=!1,this},addGrid:function(){return this.create("grid",[]),this},removeGrids:function(){var e;for(e=0;e<this.grids.length;e++)this.removeObject(this.grids[e]);return this.grids.length=0,this.update(),this},create:function(e,t,n){var r,i;e=e.toLowerCase(),JXG.exists(t)||(t=[]),JXG.exists(n)||(n={});for(i=0;i<t.length;i++)if(e!="text"||i!=2)t[i]=JXG.getReference(this,t[i]);if(JXG.JSXGraph.elements[e]==null)throw new Error("JSXGraph: JXG.createElement: Unknown element type given: "+e);return typeof JXG.JSXGraph.elements[e]=="function"?r=JXG.JSXGraph.elements[e](this,t,n):r=JXG.JSXGraph.elements[e].creator(this,t,n),JXG.exists(r)?(r.prepareUpdate&&r.update&&r.updateRenderer&&r.prepareUpdate().update().updateRenderer(),r):(JXG.debug("JSXGraph: JXG.createElement: failure creating "+e),r)},createElement:JXG.shortcut(JXG.Board.prototype,"create"),clearTraces:function(){var e;for(e=0;e<this.objectsList.length;e++)this.objectsList[e].clearTrace();return this.numTraces=0,this},suspendUpdate:function(){return this.isSuspendedUpdate=!0,this},unsuspendUpdate:function(){return this.isSuspendedUpdate=!1,this.update(),this},setBoundingBox:function(e,t){if(!JXG.isArray(e))return this;var n,r,i=JXG.getDimensions(this.container);return this.plainBB=e,this.canvasWidth=parseInt(i.width),this.canvasHeight=parseInt(i.height),r=this.canvasWidth,n=this.canvasHeight,t?(this.unitX=r/(e[2]-e[0]),this.unitY=n/(e[1]-e[3]),Math.abs(this.unitX)<Math.abs(this.unitY)?this.unitY=Math.abs(this.unitX)*this.unitY/Math.abs(this.unitY):this.unitX=Math.abs(this.unitY)*this.unitX/Math.abs(this.unitX)):(this.unitX=r/(e[2]-e[0]),this.unitY=n/(e[1]-e[3])),this.moveOrigin(-this.unitX*e[0],this.unitY*e[1]),this},getBoundingBox:function(){var e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this),t=new JXG.Coords(JXG.COORDS_BY_SCREEN,[this.canvasWidth,this.canvasHeight],this);return[e.usrCoords[1],e.usrCoords[2],t.usrCoords[1],t.usrCoords[2]]},addAnimation:function(e){var t=this;return this.animationObjects[e.id]=e,this.animationIntervalCode||(this.animationIntervalCode=setInterval(function(){JXG.JSXGraph.boards[t.id].animate()},e.board.options.animationDelay)),this},stopAllAnimation:function(){var e;for(e in this.animationObjects){if(this.animationObjects[e]===null)continue;this.animationObjects[e]=null,delete this.animationObjects[e]}return clearInterval(this.animationIntervalCode),delete this.animationIntervalCode,this},animate:function(){var e=0,t,n,r,i,s,o,u=null,a;for(t in this.animationObjects){if(this.animationObjects[t]===null)continue;e++,n=this.animationObjects[t],n.animationPath&&(JXG.isFunction(n.animationPath)?r=n.animationPath((new Date).getTime()-n.animationStart):r=n.animationPath.pop(),!JXG.exists(r)||!JXG.isArray(r)&&isNaN(r)?delete n.animationPath:(n.setPositionDirectly(JXG.COORDS_BY_USER,r),n.prepareUpdate().update().updateRenderer(),u=n));if(n.animationData){o=0;for(i in n.animationData)s=n.animationData[i].pop(),JXG.exists(s)?(o++,n.setProperty(i+":"+s)):delete n.animationData[s];o==0&&delete n.animationData}!JXG.exists(n.animationData)&&!JXG.exists(n.animationPath)&&(this.animationObjects[t]=null,delete this.animationObjects[t],JXG.exists(n.animationCallback)&&(a=n.animationCallback,n.animationCallback=null,a()))}return e==0?(clearInterval(this.animationIntervalCode),delete this.animationIntervalCode):this.update(u),this},migratePoint:function(e,t){var n,r,i,s,o;e=JXG.getRef(this,e),t=JXG.getRef(this,t);for(r in e.childElements){n=e.childElements[r],s=!1;for(i in n)n[i]===e&&(n[i]=t,s=!0);s&&delete e.childElements[r];for(o=0;o<n.parents.length;o++)n.parents[o]===e.id&&(n.parents[o]=t.id);t.addChild(n)}return this.removeObject(e),this.update(),this},emulateColorblindness:function(e){var t,n,r=this;JXG.exists(e)||(e="none");if(this.currentCBDef==e)return this;for(t in r.objects)n=r.objects[t],e!="none"?(this.currentCBDef=="none"&&(n.visPropOriginal={strokecolor:n.visProp.strokecolor,fillcolor:n.visProp.fillcolor,highlightstrokecolor:n.visProp.highlightstrokecolor,highlightfillcolor:n.visProp.highlightfillcolor}),n.setProperty({strokecolor:JXG.rgb2cb(n.visPropOriginal.strokecolor,e),fillcolor:JXG.rgb2cb(n.visPropOriginal.fillcolor,e),highlightstrokecolor:JXG.rgb2cb(n.visPropOriginal.highlightstrokecolor,e),highlightfillcolor:JXG.rgb2cb(n.visPropOriginal.highlightfillcolor,e)})):JXG.exists(n.visPropOriginal)&&JXG.extend(n.visProp,n.visPropOriginal);return this.currentCBDef=e,this.update(),this},updateCSSTransforms:function(){var e=this.containerObj,t=e,n=e;this.cssTransMat=JXG.getCSSTransformMatrix(t);while(t=t.offsetParent){this.cssTransMat=JXG.Math.matMatMult(JXG.getCSSTransformMatrix(t),this.cssTransMat),n=n.parentNode;while(n!=t)this.cssTransMat=JXG.Math.matMatMult(JXG.getCSSTransformMatrix(t),this.cssTransMat),n=n.parentNode}return this.cssTransMat=JXG.Math.inverse(this.cssTransMat),this},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e,t){},__evt__:function(e,t){},__evt__:function(e,t){},__evt__:function(e,t,n){},__evt__:function(e,t,n){},__evt__:function(){},__evt__:function(){},getPartialConstruction:function(e){var t,n;for(n=1;n<arguments.length;n++)t.push(arguments[n])},createRoulette:function(e,t,n,r,i,s,o){var u=this,a=function(){var a=0,f=0,l=0,c=n,h=JXG.Math.Numerics.root(function(n){var r=e.X(c),i=e.Y(c),s=t.X(n),o=t.Y(n);return(r-s)*(r-s)+(i-o)*(i-o)},[0,Math.PI*2]),p=0,d=0,v,m=u.create("transform",[function(){return a}],{type:"rotate"}),g=u.create("transform",[function(){return a},function(){return e.X(c)},function(){return e.Y(c)}],{type:"rotate"}),y=u.create("transform",[function(){return f},function(){return l}],{type:"translate"}),b=function(e,t,n){var 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JXG.SilverlightRenderer(w,f.width,f.height):JXG.Options.renderer=="canvas"?n=new JXG.CanvasRenderer(w):n=new JXG.NoRenderer,m=new JXG.Board(e,n,"",[r,i],h,p,s,o,f.width,f.height,d),this.boards[m.id]=m,m.keepaspectratio=t.keepaspectratio,m.options.zoom.wheel=g,m.options.pan=y,m.suspendUpdate(),m.initInfobox(),t.axis&&(b=typeof t.axis=="object"?t.axis:{ticks:{drawZero:!0}},m.defaultAxes={},m.defaultAxes.x=m.create("axis",[[0,0],[1,0]],b),m.defaultAxes.y=m.create("axis",[[0,0],[0,1]],b)),t.grid&&m.create("grid",[],typeof t.grid=="object"?t.grid:{}),typeof t["shownavigation"]!="undefined"&&(t.showNavigation=t.shownavigation),v=typeof t["showNavigation"]=="undefined"?m.options.showNavigation:t.showNavigation,v&&m.renderer.drawZoomBar(m),m.unsuspendUpdate(),m},loadBoardFromFile:function(e,t,n){var r,i,s;return JXG.Options.renderer=="svg"?r=new JXG.SVGRenderer(document.getElementById(e)):JXG.Options.renderer=="vml"?r=new JXG.VMLRenderer(document.getElementById(e)):JXG.Options.renderer=="silverlight"?r=new JXG.SilverlightRenderer(document.getElementById(e),s.width,s.height):r=new JXG.CanvasRenderer(document.getElementById(e)),s=JXG.getDimensions(e),i=new JXG.Board(e,r,"",[150,150],1,1,50,50,s.width,s.height),i.initInfobox(),JXG.FileReader.parseFileContent(t,i,n),i.options.showNavigation&&i.renderer.drawZoomBar(i),this.boards[i.id]=i,i},loadBoardFromString:function(e,t,n){var r,i,s;return JXG.Options.renderer=="svg"?r=new JXG.SVGRenderer(document.getElementById(e)):JXG.Options.renderer=="vml"?r=new JXG.VMLRenderer(document.getElementById(e)):JXG.Options.renderer=="silverlight"?r=new JXG.SilverlightRenderer(document.getElementById(e),i.width,i.height):r=new JXG.CanvasRenderer(document.getElementById(e)),i=JXG.getDimensions(e),s=new JXG.Board(e,r,"",[150,150],1,1,50,50,i.width,i.height),s.initInfobox(),JXG.FileReader.parseString(t,s,n,!0),s.options.showNavigation&&s.renderer.drawZoomBar(s),this.boards[s.id]=s,s},freeBoard:function(e){var t,n;typeof e=="string"&&(e=this.boards[e]),e.removeEventHandlers(),e.suspendUpdate();for(t in e.objects)e.objects[t].remove();while(e.containerObj.firstChild)e.containerObj.removeChild(e.containerObj.firstChild);for(t in e.objects)delete e.objects[t];delete e.renderer,delete e.algebra,e.jc.creator.clearCache(),delete e.jc,delete this.boards[e.id]},registerElement:function(e,t){e=e.toLowerCase(),this.elements[e]=t;if(JXG.Board.prototype["_"+e])throw new Error("JSXGraph: Can't create wrapper method in JXG.Board because member '_"+e+"' already exists'");JXG.Board.prototype["_"+e]=function(t,n){return this.create(e,t,n)}},unregisterElement:function(e){delete this.elements[e.toLowerCase()],delete JXG.Board.prototype["_"+e.toLowerCase()]}},JXG.extend(JXG,{OBJECT_TYPE_ARC:1,OBJECT_TYPE_ARROW:2,OBJECT_TYPE_AXIS:3,OBJECT_TYPE_AXISPOINT:4,OBJECT_TYPE_TICKS:5,OBJECT_TYPE_CIRCLE:6,OBJECT_TYPE_CONIC:7,OBJECT_TYPE_CURVE:8,OBJECT_TYPE_GLIDER:9,OBJECT_TYPE_IMAGE:10,OBJECT_TYPE_LINE:11,OBJECT_TYPE_POINT:12,OBJECT_TYPE_SLIDER:13,OBJECT_TYPE_CAS:14,OBJECT_TYPE_GXTCAS:15,OBJECT_TYPE_POLYGON:16,OBJECT_TYPE_SECTOR:17,OBJECT_TYPE_TEXT:18,OBJECT_TYPE_ANGLE:19,OBJECT_TYPE_INTERSECTION:20,OBJECT_TYPE_TURTLE:21,OBJECT_TYPE_VECTOR:22,OBJECT_TYPE_OPROJECT:23,OBJECT_TYPE_GRID:24,OBJECT_CLASS_POINT:1,OBJECT_CLASS_LINE:2,OBJECT_CLASS_CIRCLE:3,OBJECT_CLASS_CURVE:4,OBJECT_CLASS_AREA:5,OBJECT_CLASS_OTHER:6}),JXG.GeometryElement=function(e,t,n,r){var i,s;this.needsUpdate=!0,this.isDraggable=!1,this.isReal=!0,this.childElements={},this.hasLabel=!1,this.highlighted=!1,this.notExistingParents={},this.traces={},this.numTraces=0,this.transformations=[],this.baseElement=null,this.descendants={},this.ancestors={},this.symbolic={},this.elType="",this.dump=!0,this.subs={},this._pos=-1,this.stdform=[1,0,0,0,1,1,0,0],this.methodMap={setLabel:"setLabelText",getName:"getName",addTransform:"addTransform",setProperty:"setProperty",setAttribute:"setAttribute"},this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]],this.visProp={},JXG.EventEmitter.eventify(this),this.mouseover=!1;if(arguments.length>0){this.board=e,this.type=n,this.elementClass=r||JXG.OBJECT_CLASS_OTHER,this.id=t.id,i=t.name,JXG.exists(i)||(i=this.board.generateName(this)),this.board.elementsByName[i]=this,this.name=i,this.needsRegularUpdate=t.needsregularupdate,JXG.clearVisPropOld(this),t=this.resolveShortcuts(t);for(s in t)this._set(s,t[s]);this.visProp.draft=t.draft&&t.draft.draft,this.visProp.gradientangle="270",this.visProp.gradientsecondopacity=this.visProp.fillopacity,this.visProp.gradientpositionx=.5,this.visProp.gradientpositiony=.5}},JXG.extend(JXG.GeometryElement.prototype,{addChild:function(e){var t,n;this.childElements[e.id]=e,this.addDescendants(e),e.ancestors[this.id]=this;for(t in this.descendants){this.descendants[t].ancestors[this.id]=this;for(n in this.ancestors)this.descendants[t].ancestors[this.ancestors[n].id]=this.ancestors[n]}for(t in this.ancestors)for(n in this.descendants)this.ancestors[t].descendants[this.descendants[n].id]=this.descendants[n];return this},addDescendants:function(e){var t;this.descendants[e.id]=e;for(t in e.childElements)this.addDescendants(e.childElements[t]);return this},countChildren:function(){var e,t=0,n;n=this.childElements;for(e in n)n.hasOwnProperty(e)&&e.indexOf("Label")<0&&t++;return t},getName:function(){return this.name},addTransform:function(){},draggable:function(){return this.isDraggable&&!this.visProp.fixed&&!this.visProp.frozen&&this.type!=JXG.OBJECT_TYPE_GLIDER},generatePolynomial:function(){return[]},animate:function(e,t,n){n=n||{};var r,i,s=this.board.options.animationDelay,o=Math.ceil(t/(s*1)),u,a=this,f=!1;this.animationData={};var l=function(e,t,n){var r,i,s,f,l;r=JXG.rgb2hsv(e),i=JXG.rgb2hsv(t),s=(i[0]-r[0])/(1*o),f=(i[1]-r[1])/(1*o),l=(i[2]-r[2])/(1*o),a.animationData[n]=new Array(o);for(u=0;u<o;u++)a.animationData[n][o-u-1]=JXG.hsv2rgb(r[0]+(u+1)*s,r[1]+(u+1)*f,r[2]+(u+1)*l)},c=function(e,t,n,r){var i;e=parseFloat(e),t=parseFloat(t);if(isNaN(e)||isNaN(t))return;var s=(t-e)/(1*o);a.animationData[n]=new Array(o);for(u=0;u<o;u++)i=e+(u+1)*s,a.animationData[n][o-u-1]=r?Math.floor(i):i};for(r in e){i=r.toLowerCase();switch(i){case"strokecolor":case"fillcolor":l(this.visProp[i],e[r],i);break;case"size":if(this.elementClass!==JXG.OBJECT_CLASS_POINT)break;f=!0;case"strokeopacity":case"strokewidth":case"fillopacity":c(this.visProp[i],e[r],i,f)}}return this.animationCallback=n.callback,this.board.addAnimation(this),this},update:function(){return this.visProp.trace&&this.cloneToBackground(!0),this},updateRenderer:function(){return this},hideElement:function(){return this.visProp.visible=!1,this.board.renderer.hide(this),this.label!=null&&this.hasLabel&&(this.label.hiddenByParent=!0,this.label.content.visProp.visible&&this.board.renderer.hide(this.label.content)),this},showElement:function(){return this.visProp.visible=!0,this.board.renderer.show(this),this.label!=null&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.content.visProp.visible&&this.board.renderer.show(this.label.content)),this},_set:function(e,t){e=e.toLocaleLowerCase(),this.visProp.hasOwnProperty(e)&&e.indexOf("color")>=0&&JXG.isString(t)&&t.length==9&&t.charAt(0)==="#"?(t=JXG.rgba2rgbo(t),this.visProp[e]=t[0],this.visProp[e.replace("color","opacity")]=t[1]):this.visProp[e]=t},resolveShortcuts:function(e){var t,n;for(t in JXG.Options.shortcuts)if(JXG.exists(e[t]))for(n=0;n<JXG.Options.shortcuts[t].length;n++)JXG.exists(e[JXG.Options.shortcuts[t][n]])||(e[JXG.Options.shortcuts[t][n]]=e[t]);return e},setLabelText:function(e){return e=e.replace(/</g,"&lt;").replace(/>/g,"&gt;"),this.label!==null&&this.label.content.setText(e),this},setAttribute:JXG.shortcut(JXG.GeometryElement.prototype,"setProperty"),setProperty:function(){var e,t,n,r,i,s,o={},u;for(e=0;e<arguments.length;e++)r=arguments[e],JXG.isString(r)?(s=r.split(":"),o[JXG.trim(s[0])]=JXG.trim(s[1])):JXG.isArray(r)?o[r[0]]=r[1]:JXG.extend(o,r);o=this.resolveShortcuts(o);for(e in o){t=e.replace(/\s+/g,"").toLowerCase(),n=o[e],u=this.visProp[t];switch(t){case"name":delete this.board.elementsByName[this.name],this.name=n,this.board.elementsByName[this.name]=this;break;case"needsregularupdate":this.needsRegularUpdate=n!="false"&&n!=0,this.board.renderer.setBuffering(this,this.needsRegularUpdate?"auto":"static");break;case"labelcolor":n=JXG.rgba2rgbo(n),i=n[1],n=n[0],i==0&&this.label!=null&&this.hasLabel&&this.label.content.hideElement(),this.label!=null&&this.hasLabel&&(this.label.color=n,this.board.renderer.setObjectStrokeColor(this.label.content,n,i)),this.type==JXG.OBJECT_TYPE_TEXT&&(this.visProp.strokecolor=n,this.visProp.strokeopacity=i,this.board.renderer.setObjectStrokeColor(this,this.visProp.strokecolor,this.visProp.strokeopacity));break;case"infoboxtext":typeof n=="string"?this.infoboxText=n:this.infoboxText=!1;break;case"visible":if(n=="false"||n==0)this.visProp.visible=!1,this.hideElement();else if(n=="true"||n==1)this.visProp.visible=!0,this.showElement();break;case"face":this.elementClass==JXG.OBJECT_CLASS_POINT&&(this.visProp.face=n,this.board.renderer.changePointStyle(this));break;case"trace":n=="false"||n==0?(this.clearTrace(),this.visProp.trace=!1):this.visProp.trace=!0;break;case"gradient":this.visProp.gradient=n,this.board.renderer.setGradient(this);break;case"gradientsecondcolor":n=JXG.rgba2rgbo(n),this.visProp.gradientsecondcolor=n[0],this.visProp.gradientsecondopacity=n[1],this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=n,this.board.renderer.updateGradient(this);break;case"withlabel":this.visProp.withlabel=n,n?this.label&&this.label.content?this.visProp.visible&&this.label.content.showElement():(this.createLabel(),this.visProp.visible||this.label.content.hideElement()):this.label&&this.label.content&&this.hasLabel&&this.label.content.hideElement(),this.hasLabel=n;break;case"rotate":(this.type===JXG.OBJECT_TYPE_TEXT&&this.visProp.display=="internal"||this.type===JXG.OBJECT_TYPE_IMAGE)&&this.addRotation(n);break;case"ticksdistance":this.type===JXG.OBJECT_TYPE_TICKS&&typeof n=="number"&&(this.ticksFunction=function(e){return function(t){return e}}(n));break;default:JXG.exists(this.visProp[t])&&(!JXG.Validator[t]||JXG.Validator[t]&&JXG.Validator[t](n)||JXG.Validator[t]&&JXG.isFunction(n)&&JXG.Validator[t](n()))&&(n=n.toLowerCase&&n.toLowerCase()==="false"?!1:n,this._set(t,n))}this.triggerEventHandlers("attribute:"+t,u)}return this.triggerEventHandlers("attribute",o),this.visProp.needsregularupdate?this.board.update(this):this.board.fullUpdate(),this},getAttribute:JXG.shortcut(JXG.GeometryElement.prototype,"getProperty"),getProperty:function(e){var t;e=e.toLowerCase();switch(e){case"needsregularupdate":t=this.needsRegularUpdate;break;case"labelcolor":t=this.label.color;break;case"infoboxtext":t=this.infoboxText;break;case"withlabel":t=this.hasLabel;break;default:t=this.visProp[e]}return t},setDash:function(e){return this.setProperty({dash:e}),this},prepareUpdate:function(){return this.needsUpdate=!0,this},remove:function(){return this.board.renderer.remove(this.board.renderer.getElementById(this.id)),this.hasLabel&&this.board.renderer.remove(this.board.renderer.getElementById(this.label.content.id)),this},getTextAnchor:function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)},getLabelAnchor:function(){return new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)},setStraight:function(e,t){return this},setArrow:function(e,t){return this.visProp.firstarrow=e,this.visProp.lastarrow=t,this.prepareUpdate().update(),this},createGradient:function(){(this.visProp.gradient==="linear"||this.visProp.gradient==="radial")&&this.board.renderer.setGradient(this)},createLabel:function(){var e={};return e=JXG.deepCopy(this.visProp.label,null),e.id=this.id+"Label",e.isLabel=!0,e.visible=this.visProp.visible,e.anchor=this,e.priv=this.visProp.priv,this.nameHTML=JXG.GeonextParser.replaceSup(JXG.GeonextParser.replaceSub(this.name)),this.label={},this.visProp.withlabel&&(this.label.relativeCoords=[0,0],this.label.content=JXG.createText(this.board,[this.label.relativeCoords[0],-this.label.relativeCoords[1],this.name],e),this.label.content.needsUpdate=!0,this.label.content.update(),this.label.content.dump=!1,this.label.color=this.label.content.visProp.strokecolor,this.visProp.visible||(this.label.hiddenByParent=!0,this.label.content.visProp.visible=!1),this.hasLabel=!0),this},highlight:function(e){e=JXG.def(e,!1);if(!this.highlighted||e)this.highlighted=!0,this.board.renderer.highlight(this);return this},noHighlight:function(){return this.highlighted&&(this.highlighted=!1,this.board.renderer.noHighlight(this)),this},clearTrace:function(){var e;for(e in this.traces)this.board.renderer.remove(this.traces[e]);return this.numTraces=0,this},cloneToBackground:function(){return this},bounds:function(){},normalize:function(){return this.stdform=JXG.Math.normalize(this.stdform),this},toJSON:function(){var e='{"name":'+this.name;e+=', "id":'+this.id;var t=[];for(var n in this.visProp)this.visProp[n]!=null&&t.push('"'+n+'":'+this.visProp[n]);return e+=', "visProp":{'+t.toString()+"}",e+="}",e},addRotation:function(e){var t,n,r,i,s,o=this;if((this.type===JXG.OBJECT_TYPE_TEXT&&this.visProp.display==="internal"||this.type===JXG.OBJECT_TYPE_IMAGE)&&e!=0){var t,n,r,i,s,o=this;t=this.board.create("transform",[function(){return-o.X()},function(){return-o.Y()}],{type:"translate"}),n=this.board.create("transform",[function(){return o.X()},function(){return o.Y()}],{type:"translate"}),r=this.board.create("transform",[function(){return o.board.unitX/o.board.unitY},function(){return 1}],{type:"scale"}),i=this.board.create("transform",[function(){return o.board.unitY/o.board.unitX},function(){return 1}],{type:"scale"}),s=this.board.create("transform",[e*Math.PI/180],{type:"rotate"}),t.bindTo(this),r.bindTo(this),s.bindTo(this),i.bindTo(this),n.bindTo(this)}return this},highlightStrokeColor:function(e){return this.setProperty({highlightStrokeColor:e}),this},strokeColor:function(e){return this.setProperty({strokeColor:e}),this},strokeWidth:function(e){return this.setProperty({strokeWidth:e}),this},fillColor:function(e){return this.setProperty({fillColor:e}),this},highlightFillColor:function(e){return this.setProperty({highlightFillColor:e}),this},labelColor:function(e){return this.setProperty({labelColor:e}),this},dash:function(e){return this.setProperty({dash:e}),this},visible:function(e){return this.setProperty({visible:e}),this},shadow:function(e){return this.setProperty({shadow:e}),this},getType:function(){return this.elType},getParents:function(){return this.parents},snapToGrid:function(){return this},getAttributes:function(){var e=JXG.deepCopy(this.visProp),t=["attractors","attractordistance","snatchdistance","traceattributes","frozen","shadow","gradientangle","gradientsecondopacity","gradientpositionx","gradientpositiony","needsregularupdate","zoom","layer","offset"],n;e.id=this.id,e.name=this.name;for(n=0;n<t.length;n++)delete e[t[n]];return e},hasPoint:function(e,t){return!1},addEvent:JXG.shortcut(JXG.GeometryElement.prototype,"on"),removeEvent:JXG.shortcut(JXG.GeometryElement.prototype,"off"),__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(e){},__evt__:function(){}}),JXG.COORDS_BY_USER=1,JXG.COORDS_BY_SCREEN=2,JXG.Coords=function(e,t,n){this.board=n,this.usrCoords=[],this.scrCoords=[],JXG.EventEmitter.eventify(this),this.setCoordinates(e,t)},JXG.extend(JXG.Coords.prototype,{normalizeUsrCoords:function(){var e=JXG.Math.eps;Math.abs(this.usrCoords[0])>e&&(this.usrCoords[1]/=this.usrCoords[0],this.usrCoords[2]/=this.usrCoords[0],this.usrCoords[0]=1)},usr2screen:function(e){var t=Math.round,n=this.board,r=this.usrCoords,i=n.origin.scrCoords;e===null||e?(this.scrCoords[0]=t(r[0]),this.scrCoords[1]=t(r[0]*i[1]+r[1]*n.unitX),this.scrCoords[2]=t(r[0]*i[2]-r[2]*n.unitY)):(this.scrCoords[0]=r[0],this.scrCoords[1]=r[0]*i[1]+r[1]*n.unitX,this.scrCoords[2]=r[0]*i[2]-r[2]*n.unitY)},screen2usr:function(){var e=this.board.origin.scrCoords,t=this.scrCoords,n=this.board;this.usrCoords[0]=1,this.usrCoords[1]=(t[1]-e[1])/n.unitX,this.usrCoords[2]=(e[2]-t[2])/n.unitY},distance:function(e,t){var n=0,r,i=this.usrCoords,s=this.scrCoords,o;if(e===JXG.COORDS_BY_USER){r=t.usrCoords,o=i[0]-r[0],n=o*o;if(n>JXG.Math.eps)return Number.POSITIVE_INFINITY;o=i[1]-r[1],n+=o*o,o=i[2]-r[2],n+=o*o}else r=t.scrCoords,o=s[1]-r[1],n+=o*o,o=s[2]-r[2],n+=o*o;return Math.sqrt(n)},setCoordinates:function(e,t,n){var r=this.usrCoords,i=this.scrCoords,s=this.usrCoords.slice(0),o=this.scrCoords.slice(0);return e===JXG.COORDS_BY_USER?(t.length===2?(r[0]=1,r[1]=t[0],r[2]=t[1]):(r[0]=t[0],r[1]=t[1],r[2]=t[2],this.normalizeUsrCoords()),this.usr2screen(n)):(i[1]=t[0],i[2]=t[1],this.screen2usr()),this.triggerEventHandlers("update",s,o),this},__evt__:function(e,t){},__evt__:function(){}}),JXG.Point=function(e,t,n){this.constructor(e,n,JXG.OBJECT_TYPE_POINT,JXG.OBJECT_CLASS_POINT),t==null&&(t=[0,0]),this.coords=new JXG.Coords(JXG.COORDS_BY_USER,t,this.board),this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,t,this.board),this.position=null,this.onPolygon=!1,this.slideObject=null,this.Xjc=null,this.Yjc=null,this.methodMap=JXG.deepCopy(this.methodMap,{move:"moveTo",glide:"makeGlider",X:"X",Y:"Y",free:"free",setPosition:"setGliderPosition"}),this.group=[],this.elType="point",this.id=this.board.setId(this,"P"),this.board.renderer.drawPoint(this),this.board.finalizeAdding(this),this.createLabel()},JXG.Point.prototype=new JXG.GeometryElement,JXG.extend(JXG.Point.prototype,{hasPoint:function(e,t){var n=this.coords.scrCoords,r;return r=parseFloat(this.visProp.size)+parseFloat(this.visProp.strokewidth)*.5,r<this.board.options.precision.hasPoint&&(r=this.board.options.precision.hasPoint),Math.abs(n[1]-e)<r+2&&Math.abs(n[2]-t)<r+2},updateConstraint:function(){return this},update:function(e){return this.needsUpdate?(typeof e=="undefined"&&(e=!1),this.type==JXG.OBJECT_TYPE_GLIDER&&(e?this.updateGliderFromParent():this.updateGlider()),(this.type==JXG.OBJECT_TYPE_CAS||this.type==JXG.OBJECT_TYPE_AXISPOINT)&&this.updateConstraint(),this.updateTransform(),this.visProp.trace&&this.cloneToBackground(!0),this):this},updateGlider:function(){var e,t,n,r,i,s,o,u,a,f=this.slideObject,l,c,h,p,d,v;if(f.elementClass==JXG.OBJECT_CLASS_CIRCLE)this.coords=JXG.Math.Geometry.projectPointToCircle(this,f,this.board),this.position=JXG.Math.Geometry.rad([f.center.X()+1,f.center.Y()],f.center,this);else if(f.elementClass==JXG.OBJECT_CLASS_LINE){if(this.onPolygon){t=f.point1.coords.usrCoords,n=f.point2.coords.usrCoords,e=1,r=n[e]-t[e],Math.abs(r)<JXG.Math.eps&&(e=2,r=n[e]-t[e]),o=JXG.Math.Geometry.projectPointToLine(this,f,this.board),u=(o.usrCoords[e]-t[e])/r,s=f.parentPolygon;if(u<0){for(e=0;e<s.borders.length;e++)if(f==s.borders[e]){f=s.borders[(e-1+s.borders.length)%s.borders.length];break}}else if(u>1)for(e=0;e<s.borders.length;e++)if(f==s.borders[e]){f=s.borders[(e+1+s.borders.length)%s.borders.length];break}}t=f.point1.coords,n=f.point2.coords,r=t.distance(JXG.COORDS_BY_USER,n),t=t.usrCoords.slice(0),n=n.usrCoords.slice(0),r<JXG.Math.eps?(this.coords.setCoordinates(JXG.COORDS_BY_USER,t),this.position=0):(this.coords=JXG.Math.Geometry.projectPointToLine(this,f,this.board),Math.abs(n[0])<JXG.Math.eps?(e=1,r=n[e],Math.abs(r)<JXG.Math.eps&&(e=2,r=n[e]),r=(this.coords.usrCoords[e]-t[e])/r,a=r>=0?1:-1,r=Math.abs(r),this.position=a*r/(r+1)):Math.abs(t[0])<JXG.Math.eps?(e=1,r=t[e],Math.abs(r)<JXG.Math.eps&&(e=2,r=t[e]),r=(this.coords.usrCoords[e]-n[e])/r,r<0?this.position=(1-2*r)/(1-r):this.position=1/(r+1)):(e=1,r=n[e]-t[e],Math.abs(r)<JXG.Math.eps&&(e=2,r=n[e]-t[e]),this.position=(this.coords.usrCoords[e]-t[e])/r)),this.visProp.snapwidth>0&&Math.abs(this._smax-this._smin)>=JXG.Math.eps&&(this.position<0&&(this.position=0),this.position>1&&(this.position=1),i=this.position*(this._smax-this._smin)+this._smin,i=Math.round(i/this.visProp.snapwidth)*this.visProp.snapwidth,this.position=(i-this._smin)/(this._smax-this._smin),this.update(!0)),t=f.point1.coords.usrCoords,!f.visProp.straightfirst&&Math.abs(t[0])>JXG.Math.eps&&this.position<0&&(this.coords.setCoordinates(JXG.COORDS_BY_USER,t),this.position=0),n=f.point2.coords.usrCoords,!f.visProp.straightlast&&Math.abs(n[0])>JXG.Math.eps&&this.position>1&&(this.coords.setCoordinates(JXG.COORDS_BY_USER,n),this.position=1)}else if(f.type==JXG.OBJECT_TYPE_TURTLE)this.updateConstraint(),this.coords=JXG.Math.Geometry.projectPointToTurtle(this,f,this.board);else if(f.elementClass==JXG.OBJECT_CLASS_CURVE)if(f.type==JXG.OBJECT_TYPE_ARC||f.type==JXG.OBJECT_TYPE_SECTOR){this.coords=JXG.Math.Geometry.projectPointToCircle(this,f,this.board),h=JXG.Math.Geometry.rad(f.radiuspoint,f.center,this),l=0,c=JXG.Math.Geometry.rad(f.radiuspoint,f.center,f.anglepoint),this.position=h;if(f.visProp.type=="minor"&&c>Math.PI||f.visProp.type=="major"&&c<Math.PI)l=c,c=2*Math.PI;if(h<l||h>c){this.position=c;if(h<l&&h>l*.5||h>c&&h>c*.5+Math.PI)this.position=l;this.updateGliderFromParent()}}else this.updateConstraint(),f.transformations.length>0?(f.updateTransformMatrix(),v=JXG.Math.inverse(f.transformMat),d=JXG.Math.matVecMult(v,this.coords.usrCoords),p=(new JXG.Coords(JXG.COORDS_BY_USER,d,this.board)).usrCoords,d=JXG.Math.Geometry.projectCoordsToCurve(p[1],p[2],this.position||0,f,this.board),this.position=d[1],this.coords=d[0]):this.coords=JXG.Math.Geometry.projectPointToCurve(this,f,this.board);else f.elementClass==JXG.OBJECT_CLASS_POINT&&(this.coords=JXG.Math.Geometry.projectPointToPoint(this,f,this.board))},updateGliderFromParent:function(){var e,t,n,r,i,s=this.slideObject,o;s.elementClass==JXG.OBJECT_CLASS_CIRCLE?(n=s.Radius(),this.coords.setCoordinates(JXG.COORDS_BY_USER,[s.center.X()+n*Math.cos(this.position),s.center.Y()+n*Math.sin(this.position)])):s.elementClass==JXG.OBJECT_CLASS_LINE?(e=s.point1.coords.usrCoords,t=s.point2.coords.usrCoords,Math.abs(t[0])<JXG.Math.eps?(r=Math.min(Math.abs(this.position),1-JXG.Math.eps),r/=1-r,this.position<0&&(r*=-1),this.coords.setCoordinates(JXG.COORDS_BY_USER,[e[0]+r*t[0],e[1]+r*t[1],e[2]+r*t[2]])):Math.abs(e[0])<JXG.Math.eps?(r=Math.max(this.position,JXG.Math.eps),r=Math.min(r,2-JXG.Math.eps),r>1?r=(r-1)/(r-2):r=(1-r)/r,this.coords.setCoordinates(JXG.COORDS_BY_USER,[t[0]+r*e[0],t[1]+r*e[1],t[2]+r*e[2]])):(r=this.position,this.coords.setCoordinates(JXG.COORDS_BY_USER,[e[0]+r*(t[0]-e[0]),e[1]+r*(t[1]-e[1]),e[2]+r*(t[2]-e[2])]))):s.type==JXG.OBJECT_TYPE_TURTLE?(this.coords.setCoordinates(JXG.COORDS_BY_USER,[s.Z(this.position),s.X(this.position),s.Y(this.position)]),this.updateConstraint(),this.coords=JXG.Math.Geometry.projectPointToTurtle(this,s,this.board)):s.elementClass==JXG.OBJECT_CLASS_CURVE?(this.coords.setCoordinates(JXG.COORDS_BY_USER,[s.Z(this.position),s.X(this.position),s.Y(this.position)]),s.type==JXG.OBJECT_TYPE_ARC||s.type==JXG.OBJECT_TYPE_SECTOR?(o=JXG.Math.Geometry.rad([s.center.X()+1,s.center.Y()],s.center,s.radiuspoint),n=s.Radius(),this.coords.setCoordinates(JXG.COORDS_BY_USER,[s.center.X()+n*Math.cos(this.position+o),s.center.Y()+n*Math.sin(this.position+o)])):(this.updateConstraint(),this.coords=JXG.Math.Geometry.projectPointToCurve(this,s,this.board))):s.elementClass==JXG.OBJECT_CLASS_POINT&&(this.coords=JXG.Math.Geometry.projectPointToPoint(this,s,this.board))},updateRenderer:function(){if(!this.needsUpdate)return this;if(this.visProp.visible&&this.visProp.size>0){var e=this.isReal;this.isReal=!isNaN(this.coords.usrCoords[1]+this.coords.usrCoords[2]),this.isReal=Math.abs(this.coords.usrCoords[0])>JXG.Math.eps?this.isReal:!1,this.isReal?(e!=this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.show(this.label.content)),this.board.renderer.updatePoint(this)):e!=this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.hide(this.label.content))}return this.hasLabel&&this.visProp.visible&&this.label.content&&this.label.content.visProp.visible&&this.isReal&&(this.label.content.update(),this.board.renderer.updateText(this.label.content)),this.needsUpdate=!1,this},X:function(){return this.coords.usrCoords[1]},Y:function(){return this.coords.usrCoords[2]},Z:function(){return this.coords.usrCoords[0]},XEval:function(){return this.coords.usrCoords[1]},YEval:function(){return this.coords.usrCoords[2]},ZEval:function(){return this.coords.usrCoords[0]},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},Dist:function(e){var t,n=e.coords.usrCoords,r=this.coords.usrCoords,i;return i=r[0]-n[0],t=i*i,i=r[1]-n[1],t+=i*i,i=r[2]-n[2],t+=i*i,Math.sqrt(t)},snapToGrid:function(){return this.handleSnapToGrid()},handleSnapToGrid:function(){var e,t,n=this.visProp.snapsizex,r=this.visProp.snapsizey;return this.visProp.snaptogrid&&(e=this.coords.usrCoords[1],t=this.coords.usrCoords[2],n<=0&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(n=this.board.defaultAxes.x.defaultTicks.ticksDelta*(this.board.defaultAxes.x.defaultTicks.visProp.minorticks+1)),r<=0&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(r=this.board.defaultAxes.y.defaultTicks.ticksDelta*(this.board.defaultAxes.y.defaultTicks.visProp.minorticks+1)),n>0&&r>0&&this.coords.setCoordinates(JXG.COORDS_BY_USER,[Math.round(e/n)*n,Math.round(t/r)*r])),this},handleSnapToPoints:function(){var e,t,n,r=0,i=Infinity,s=null;if(this.visProp.snaptopoints){for(e in this.board.objects)t=this.board.objects[e],t.elementClass==JXG.OBJECT_CLASS_POINT&&t!==this&&t.visProp.visible&&(n=JXG.Math.Geometry.projectPointToPoint(this,t,this.board),r=n.distance(JXG.COORDS_BY_USER,this.coords),r<this.visProp.attractordistance&&r<i&&(i=r,s=n));s!=null&&this.coords.setCoordinates(JXG.COORDS_BY_USER,s.usrCoords)}return this},handleAttractors:function(){var e=this.visProp.attractors.length,t,n,r,i=0;if(this.visProp.attractordistance==0)return;for(t=0;t<e;t++){n=JXG.getRef(this.board,this.visProp.attractors[t]);if(!JXG.exists(n)||n===this)continue;n.elementClass==JXG.OBJECT_CLASS_POINT?r=JXG.Math.Geometry.projectPointToPoint(this,n,this.board):n.elementClass==JXG.OBJECT_CLASS_LINE?r=JXG.Math.Geometry.projectPointToLine(this,n,this.board):n.elementClass==JXG.OBJECT_CLASS_CIRCLE?r=JXG.Math.Geometry.projectPointToCircle(this,n,this.board):n.elementClass==JXG.OBJECT_CLASS_CURVE?r=JXG.Math.Geometry.projectPointToCurve(this,n,this.board):n.type==JXG.OBJECT_TYPE_TURTLE&&(r=JXG.Math.Geometry.projectPointToTurtle(this,n,this.board)),i=r.distance(JXG.COORDS_BY_USER,this.coords);if(i<this.visProp.attractordistance){found=!0,(this.type!=JXG.OBJECT_TYPE_GLIDER||this.slideObject!=n)&&this.makeGlider(n);break}n==this.slideObject&&i>=this.visProp.snatchdistance&&(this.type=JXG.OBJECT_TYPE_POINT)}return this},setPositionDirectly:function(e,t){var n,r,i,s,o,u,a=this.coords,f;this.coords.setCoordinates(e,t),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors();if(!(this.group.length>0)){for(n=this.transformations.length-1;n>=0;n--)e===JXG.COORDS_BY_SCREEN?f=(new JXG.Coords(e,t,this.board)).usrCoords:(t.length===2&&(t=[1].concat(t)),f=t),this.initialCoords.setCoordinates(JXG.COORDS_BY_USER,JXG.Math.matVecMult(JXG.Math.inverse(this.transformations[n].matrix),f));this.update()}return this},setPositionByTransform:function(e,t){var n;return t=new JXG.Coords(e,t,this.board),n=this.board.create("transform",t.usrCoords.slice(1),{type:"translate"}),this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(n):this.addTransform(this,n),this.update(),this},setPosition:function(e,t){return this.setPositionDirectly(e,t)},setGliderPosition:function(e){if(this.type=JXG.OBJECT_TYPE_GLIDER)this.position=e,this.board.update();return this},makeGlider:function(e){return this.slideObject=JXG.getRef(this.board,e),this.type=JXG.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this},free:function(){var e,t;if(this.type!==JXG.OBJECT_TYPE_GLIDER){if(!!this.isDraggable)return;this.isDraggable=!0,this.type=JXG.OBJECT_TYPE_POINT,this.XEval=function(){return this.coords.usrCoords[1]},this.YEval=function(){return this.coords.usrCoords[2]},this.ZEval=function(){return this.coords.usrCoords[0]},this.Xjc=null,this.Yjc=null}for(e in this.ancestors){this.ancestors[e].descendants[this.id]&&delete this.ancestors[e].descendants[this.id],this.ancestors[e].childElements[this.id]&&delete this.ancestors[e].childElements[this.id];for(t in this.descendants)this.ancestors[e].descendants[t]&&delete this.ancestors[e].descendants[t],this.ancestors[e].childElements[t]&&delete this.ancestors[e].childElements[t]}this.ancestors=[],this.slideObject=null,this.elType="point",this.type=JXG.OBJECT_TYPE_POINT},addConstraint:function(e){this.type=JXG.OBJECT_TYPE_CAS;var t=[],n,r,i,s,o=["X","Y"];this.isDraggable=!1;for(r=0;r<e.length;r++)i=e[r],typeof i=="string"?(t[r]=this.board.jc.snippet(i,!0,null,!0),e.length===2&&(this[o[r]+"jc"]=e[r])):typeof i=="function"?t[r]=i:typeof i=="number"?t[r]=function(e){return function(){return e}}(i):typeof i=="object"&&typeof i.Value=="function"&&(t[r]=function(e){return function(){return e.Value()}}(i)),t[r].origin=i;return e.length==1?this.updateConstraint=function(){var e=t[0]();JXG.isArray(e)?this.coords.setCoordinates(JXG.COORDS_BY_USER,e):this.coords=e}:e.length==2?(this.XEval=t[0],this.YEval=t[1],n="this.coords.setCoordinates("+JXG.COORDS_BY_USER+",[this.XEval(),this.YEval()]);",this.updateConstraint=new Function("",n)):(this.ZEval=t[0],this.XEval=t[1],this.YEval=t[2],n="this.coords.setCoordinates("+JXG.COORDS_BY_USER+",[this.ZEval(),this.XEval(),this.YEval()]);",this.updateConstraint=new Function("",n)),this.board.isSuspendedUpdate||this.prepareUpdate().update().updateRenderer(),this},updateTransform:function(){if(this.transformations.length==0||this.baseElement==null)return this;var e,t;this===this.baseElement?e=this.transformations[0].apply(this.baseElement,"self"):e=this.transformations[0].apply(this.baseElement),this.coords.setCoordinates(JXG.COORDS_BY_USER,e);for(t=1;t<this.transformations.length;t++)this.coords.setCoordinates(JXG.COORDS_BY_USER,this.transformations[t].apply(this));return this},addTransform:function(e,t){var n,r=JXG.isArray(t)?t:[t],i=r.length;this.transformations.length===0&&(this.baseElement=e);for(n=0;n<i;n++)this.transformations.push(r[n]);return this},startAnimation:function(e,t){return this.type==JXG.OBJECT_TYPE_GLIDER&&typeof this.intervalCode=="undefined"&&(this.intervalCode=window.setInterval("JXG.JSXGraph.boards['"+this.board.id+"'].objects['"+this.id+"']._anim("+e+", "+t+")",250),typeof this.intervalCount=="undefined"&&(this.intervalCount=0)),this},stopAnimation:function(){return typeof this.intervalCode!="undefined"&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(e,t,n){n=n||{};var r=[],i=this.board.options.animationDelay,s=function(t,n){return function(){return e[t][n]}},o=[],u,a,f=t/i;if(JXG.isArray(e)){for(u=0;u<e.length;u++)JXG.isPoint(e[u])?o[u]=e[u]:o[u]={elementClass:JXG.OBJECT_CLASS_POINT,X:s(u,0),Y:s(u,1)};t=t||0;if(t===0)return this.setPosition(JXG.COORDS_BY_USER,[o[o.length-1].X(),o[o.length-1].Y()]),this.board.update(this);a=JXG.Math.Numerics.Neville(o);for(u=0;u<f;u++)r[u]=[],r[u][0]=a[0]((f-u)/f*a[3]()),r[u][1]=a[1]((f-u)/f*a[3]());this.animationPath=r}else JXG.isFunction(e)&&(this.animationPath=e,this.animationStart=(new Date).getTime());return this.animationCallback=n.callback,this.board.addAnimation(this),this},moveTo:function(e,t,n){e=new JXG.Coords(JXG.COORDS_BY_USER,e,this.board);if(typeof t=="undefined"||t==0||Math.abs(e.usrCoords[0]-this.coords.usrCoords[0])>JXG.Math.eps)return this.setPosition(JXG.COORDS_BY_USER,e.usrCoords),this.board.update(this);n=n||{};var r=this.board.options.animationDelay,i=Math.ceil(t/(r*1)),s=new Array(i+1),o=this.coords.usrCoords[1],u=this.coords.usrCoords[2],a=e.usrCoords[1]-o,f=e.usrCoords[2]-u,l,c=function(e){return n.effect&&n.effect=="<>"?Math.pow(Math.sin(e/(i*1)*Math.PI/2),2):e/i};if(Math.abs(a)<JXG.Math.eps&&Math.abs(f)<JXG.Math.eps)return this;for(l=i;l>=0;l--)s[i-l]=[e.usrCoords[0],o+a*c(l),u+f*c(l)];return this.animationPath=s,this.animationCallback=n.callback,this.board.addAnimation(this),this},visit:function(e,t,n){typeof n=="number"?n={repeat:n}:(n=n||{},typeof n.repeat=="undefined"&&(n.repeat=1));var r=this.board.options.animationDelay,i=Math.ceil(t/(r*n.repeat)),s=new Array(n.repeat*(i+1)),o=this.coords.usrCoords[1],u=this.coords.usrCoords[2],a=e[0]-o,f=e[1]-u,l,c,h=function(e){var t=e<i/2?2*e/i:2*(i-e)/i;return n.effect&&n.effect=="<>"?Math.pow(Math.sin(t*Math.PI/2),2):t};for(c=0;c<n.repeat;c++)for(l=i;l>=0;l--)s[c*(i+1)+i-l]=[e[0],o+a*h(l),u+f*h(l)];return this.animationPath=s,this.animationCallback=n.callback,this.board.addAnimation(this),this},_anim:function(e,t){var n,r,i,s,o,u,a=1,f,l;return this.intervalCount++,this.intervalCount>t&&(this.intervalCount=0),this.slideObject.elementClass==JXG.OBJECT_CLASS_LINE?(n=this.slideObject.point1.coords.distance(JXG.COORDS_BY_SCREEN,this.slideObject.point2.coords),r=this.slideObject.getSlope(),r!="INF"?(o=Math.atan(r),i=Math.round(this.intervalCount/t*n*Math.cos(o)),s=Math.round(this.intervalCount/t*n*Math.sin(o))):(i=0,s=Math.round(this.intervalCount/t*n)),e<0?(u=this.slideObject.point2,this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]>0?a=-1:this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]==0&&this.slideObject.point2.coords.scrCoords[2]-this.slideObject.point1.coords.scrCoords[2]>0&&(a=-1)):(u=this.slideObject.point1,this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]>0?a=-1:this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]==0&&this.slideObject.point1.coords.scrCoords[2]-this.slideObject.point2.coords.scrCoords[2]>0&&(a=-1)),this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[u.coords.scrCoords[1]+a*i,u.coords.scrCoords[2]+a*s])):this.slideObject.elementClass==JXG.OBJECT_CLASS_CURVE?(e>0?f=Math.round(this.intervalCount/t*this.board.canvasWidth):f=Math.round((t-this.intervalCount)/t*this.board.canvasWidth),this.coords.setCoordinates(JXG.COORDS_BY_SCREEN,[f,0]),this.coords=JXG.Math.Geometry.projectPointToCurve(this,this.slideObject,this.board)):this.slideObject.elementClass==JXG.OBJECT_CLASS_CIRCLE&&(e<0?o=this.intervalCount/t*2*Math.PI:o=(t-this.intervalCount)/t*2*Math.PI,l=this.slideObject.Radius(),this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+l*Math.cos(o),this.slideObject.center.coords.usrCoords[2]+l*Math.sin(o)])),this.board.update(this),this},setStyle:function(e){var t=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"],n=[2,3,4,1,2,3,4,2,3,4,2,3,4];return this.visProp.face=t[e],this.visProp.size=n[e],this.board.renderer.changePointStyle(this),this},normalizeFace:function(e){var t={cross:"x",x:"x",circle:"o",o:"o",square:"[]","[]":"[]",plus:"+","+":"+",diamond:"<>","<>":"<>",triangleup:"^",a:"^","^":"^",triangledown:"v",v:"v",triangleleft:"<","<":"<",triangleright:">",">":">"};return t[e]},remove:function(){this.hasLabel&&this.board.renderer.remove(this.board.renderer.getElementById(this.label.content.id)),this.board.renderer.remove(this.board.renderer.getElementById(this.id))},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},face:function(e){this.setProperty({face:e})},size:function(e){this.setProperty({size:e})},cloneToBackground:function(){var e={};return e.id=this.id+"T"+this.numTraces,this.numTraces++,e.coords=this.coords,e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.elementClass=JXG.OBJECT_CLASS_POINT,e.board=this.board,JXG.clearVisPropOld(e),this.board.renderer.drawPoint(e),this.traces[e.id]=e.rendNode,this},getParents:function(){var e=[this.Z(),this.X(),this.Y()];return this.parents&&(e=this.parents),this.type==JXG.OBJECT_TYPE_GLIDER&&(e=[this.X(),this.Y(),this.slideObject.id]),e}}),JXG.createPoint=function(e,t,n){var r,i=!1,s,o;o=JXG.copyAttributes(n,e.options,"point");for(s=0;s<t.length;s++)if(typeof t[s]=="function"||typeof t[s]=="string")i=!0;if(!i)if(JXG.isNumber(t[0])&&JXG.isNumber(t[1]))r=new JXG.Point(e,t,o),JXG.exists(o.slideobject)?r.makeGlider(o.slideobject):r.baseElement=r,r.isDraggable=!0;else{if(typeof t[0]!="object"||typeof t[1]!="object")throw new Error("JSXGraph: Can't create point with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [x,y], [z,x,y], [point,transformation]");r=new JXG.Point(e,[0,0],o),r.addTransform(t[0],t[1]),r.isDraggable=!1,r.parents=[t[0].id]}else r=new JXG.Point(e,[NaN,NaN],o),r.addConstraint(t);return r},JXG.createGlider=function(e,t,n){var r,i=JXG.copyAttributes(n,e.options,"glider");return t.length===1?r=e.create("point",[0,0],i):r=e.create("point",t.slice(0,2),i),r.makeGlider(t[t.length-1]),r},JXG.createIntersectionPoint=function(e,t,n){var r,i=JXG.copyAttributes(n,e.options,"intersection"),s;t.push(0,0),r=e.create("point",[0,0,0],i),s=new e.intersection(t[0],t[1],t[2],t[3],{point:r}),r.addConstraint([s]);try{t[0].addChild(r),t[1].addChild(r)}catch(o){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'.")}return r.elType="intersection",r.parents=[t[0].id,t[1].id,t[2]],t[3]!=null&&r.parents.push(t[3]),r.generatePolynomial=function(){var e=t[0].generatePolynomial(r),n=t[1].generatePolynomial(r);return e.length==0||n.length==0?[]:[e[0],n[0]]},r},JXG.createOtherIntersectionPoint=function(e,t,n){var r;if(t.length!=3||!JXG.isPoint(t[2])||t[0].elementClass!=JXG.OBJECT_CLASS_LINE&&t[0].elementClass!=JXG.OBJECT_CLASS_CIRCLE||t[1].elementClass!=JXG.OBJECT_CLASS_LINE&&t[1].elementClass!=JXG.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create 'other intersection point' with parent types '"+typeof t[0]+"',  '"+typeof t[1]+"'and  '"+typeof t[2]+"'."+"\nPossible parent types: [circle|line,circle|line,point]");return r=e.create("point",[e.otherIntersection(t[0],t[1],t[2])],n),r.elType="otherintersection",r.parents=[t[0].id,t[1].id,t[2]],t[0].addChild(r),t[1].addChild(r),r.generatePolynomial=function(){var e=t[0].generatePolynomial(r),n=t[1].generatePolynomial(r);return e.length==0||n.length==0?[]:[e[0],n[0]]},r},JXG.JSXGraph.registerElement("point",JXG.createPoint),JXG.JSXGraph.registerElement("glider",JXG.createGlider),JXG.JSXGraph.registerElement("intersection",JXG.createIntersectionPoint),JXG.JSXGraph.registerElement("otherintersection",JXG.createOtherIntersectionPoint),JXG.Line=function(e,t,n,r){this.constructor(e,r,JXG.OBJECT_TYPE_LINE,JXG.OBJECT_CLASS_LINE),this.point1=JXG.getReference(this.board,t),this.point2=JXG.getReference(this.board,n),this.ticks=[],this.defaultTicks=null,this.parentPolygon=null,this.id=this.board.setId(this,"L"),this.board.renderer.drawLine(this),this.board.finalizeAdding(this),this.elType="line",this.point1.addChild(this),this.point2.addChild(this),this.updateStdform(),this.createLabel()},JXG.Line.prototype=new JXG.GeometryElement,JXG.extend(JXG.Line.prototype,{hasPoint:function(e,t){var n=[],r,i=[1,e,t],s,o,u,a,f,l;return n[0]=this.stdform[0]-this.stdform[1]*this.board.origin.scrCoords[1]/this.board.unitX+this.stdform[2]*this.board.origin.scrCoords[2]/this.board.unitY,n[1]=this.stdform[1]/this.board.unitX,n[2]=this.stdform[2]/-this.board.unitY,r=JXG.Math.Geometry.distPointLine(i,n),isNaN(r)||r>this.board.options.precision.hasPoint?!1:this.visProp.straightfirst&&this.visProp.straightlast?!0:(o=this.point1.coords,u=this.point2.coords,s=[0,n[1],n[2]],s=JXG.Math.crossProduct(s,i),s=JXG.Math.crossProduct(s,n),s[1]/=s[0],s[2]/=s[0],s[0]=1,s=(new JXG.Coords(JXG.COORDS_BY_SCREEN,s.slice(1),this.board)).usrCoords,a=o.distance(JXG.COORDS_BY_USER,u),o=o.usrCoords.slice(0),u=u.usrCoords.slice(0),a<JXG.Math.eps?f=0:(a==Number.POSITIVE_INFINITY&&(a=1/JXG.Math.eps,Math.abs(u[0])<JXG.Math.eps?(a/=JXG.Math.Geometry.distance([0,0,0],u),u=[1,o[1]+u[1]*a,o[2]+u[2]*a]):(a/=JXG.Math.Geometry.distance([0,0,0],o),o=[1,u[1]+o[1]*a,u[2]+o[2]*a])),l=1,a=u[l]-o[l],Math.abs(a)<JXG.Math.eps&&(l=2,a=u[l]-o[l]),f=(s[l]-o[l])/a),!this.visProp.straightfirst&&f<0?!1:!this.visProp.straightlast&&f>1?!1:!0)},update:function(){var e;return this.needsUpdate?(this.constrained&&(typeof this.funps!="undefined"?(e=this.funps(),e&&e.length&&e.length===2&&(this.point1=e[0],this.point2=e[1])):(typeof this.funp1=="function"&&(e=this.funp1(),JXG.isPoint(e)?this.point1=e:e&&e.length&&e.length===2&&this.point1.setPositionDirectly(JXG.COORDS_BY_USER,e)),typeof this.funp2=="function"&&(e=this.funp2(),JXG.isPoint(e)?this.point2=e:e&&e.length&&e.length===2&&this.point2.setPositionDirectly(JXG.COORDS_BY_USER,e)))),this.updateSegmentFixedLength(),this.updateStdform(),this.visProp.trace&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var e,t,n,r,i,s,o,u;if(!this.hasFixedLength)return this;e=this.point1.Dist(this.point2),t=this.fixedLength(),n=this.fixedLengthOldCoords[0].distance(JXG.COORDS_BY_USER,this.point1.coords),r=this.fixedLengthOldCoords[1].distance(JXG.COORDS_BY_USER,this.point2.coords);if(n>JXG.Math.eps||r>JXG.Math.eps||e!=t){i=this.point1.isDraggable&&this.point1.type!=JXG.OBJECT_TYPE_GLIDER&&!this.point1.visProp.fixed,s=this.point2.isDraggable&&this.point2.type!=JXG.OBJECT_TYPE_GLIDER&&!this.point2.visProp.fixed;if(e>JXG.Math.eps){if(n>r&&s||n<=r&&s&&!i)this.point2.setPositionDirectly(JXG.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*t/e,this.point1.Y()+(this.point2.Y()-this.point1.Y())*t/e]),this.point2.prepareUpdate().updateRenderer();else if(n<=r&&i||n>r&&i&&!s)this.point1.setPositionDirectly(JXG.COORDS_BY_USER,[this.point2.X()+(this.point1.X()-this.point2.X())*t/e,this.point2.Y()+(this.point1.Y()-this.point2.Y())*t/e]),this.point1.prepareUpdate().updateRenderer()}else o=Math.random()-.5,u=Math.random()-.5,e=Math.sqrt(o*o+u*u),s?(this.point2.setPositionDirectly(JXG.COORDS_BY_USER,[this.point1.X()+o*t/e,this.point1.Y()+u*t/e]),this.point2.prepareUpdate().updateRenderer()):i&&(this.point1.setPositionDirectly(JXG.COORDS_BY_USER,[this.point2.X()+o*t/e,this.point2.Y()+u*t/e]),this.point1.prepareUpdate().updateRenderer());this.fixedLengthOldCoords[0].setCoordinates(JXG.COORDS_BY_USER,this.point1.coords.usrCoords),this.fixedLengthOldCoords[1].setCoordinates(JXG.COORDS_BY_USER,this.point2.coords.usrCoords)}return this},updateStdform:function(){var e=JXG.Math.crossProduct(this.point1.coords.usrCoords,this.point2.coords.usrCoords);this.stdform[0]=e[0],this.stdform[1]=e[1],this.stdform[2]=e[2],this.stdform[3]=0,this.normalize()},updateRenderer:function(){var e;return this.needsUpdate&&this.visProp.visible&&(e=this.isReal,this.isReal=!isNaN(this.point1.coords.usrCoords[1]+this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[1]+this.point2.coords.usrCoords[2])&&JXG.Math.innerProduct(this.stdform,this.stdform,3)>=JXG.Math.eps*JXG.Math.eps,this.isReal?(e!=this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.show(this.label.content)),this.board.renderer.updateLine(this)):e!=this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.hide(this.label.content)),this.needsUpdate=!1),this.hasLabel&&this.label.content.visProp.visible&&this.isReal&&(this.label.content.update(),this.board.renderer.updateText(this.label.content)),this},generatePolynomial:function(e){var t=this.point1.symbolic.x,n=this.point1.symbolic.y,r=this.point2.symbolic.x,i=this.point2.symbolic.y,s=e.symbolic.x,o=e.symbolic.y;return[["(",n,")*(",s,")-(",n,")*(",r,")+(",o,")*(",r,")-(",t,")*(",o,")+(",t,")*(",i,")-(",s,")*(",i,")"].join("")]},getRise:function(){return Math.abs(this.stdform[2])>=JXG.Math.eps?-this.stdform[0]/this.stdform[2]:Infinity},getSlope:function(){return Math.abs(this.stdform[2])>=JXG.Math.eps?-this.stdform[1]/this.stdform[2]:Infinity},getAngle:function(){return Math.atan2(this.point2.Y()-this.point1.Y(),this.point2.X()-this.point1.X())},setStraight:function(e,t){return this.visProp.straightfirst=e,this.visProp.straightlast=t,this.board.renderer.updateLine(this),this},getTextAnchor:function(){return new JXG.Coords(JXG.COORDS_BY_USER,[.5*(this.point2.X()+this.point1.X()),.5*(this.point2.Y()+this.point1.Y())],this.board)},setLabelRelativeCoords:function(e){JXG.exists(this.label.content)&&(this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e[0],-e[1]],this.board))},getLabelAnchor:function(){var e,t,n=0,r=0,i=0,s=new JXG.Coords(JXG.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),o=new JXG.Coords(JXG.COORDS_BY_USER,this.point2.coords.usrCoords,this.board);(this.visProp.straightfirst||this.visProp.straightlast)&&JXG.Math.Geometry.calcStraight(this,s,o,0),s=s.scrCoords,o=o.scrCoords;if(!JXG.exists(this.label.content))return new JXG.Coords(JXG.COORDS_BY_SCREEN,[NaN,NaN],this.board);switch(this.label.content.visProp.position){case"lft":case"llft":case"ulft":s[1]<=o[1]?(e=s[1],t=s[2]):(e=o[1],t=o[2]);break;case"rt":case"lrt":case"urt":s[1]>o[1]?(e=s[1],t=s[2]):(e=o[1],t=o[2]);break;default:e=.5*(s[1]+o[1]),t=.5*(s[2]+o[2])}if(this.visProp.straightfirst||this.visProp.straightlast)JXG.exists(this.label.content)&&(r=parseFloat(this.label.content.visProp.offset[0]),i=parseFloat(this.label.content.visProp.offset[1]),n=this.label.content.visProp.fontsize),Math.abs(e)<JXG.Math.eps?e=r:this.board.canvasWidth+JXG.Math.eps>e&&e>this.board.canvasWidth-n-JXG.Math.eps?e=this.board.canvasWidth-r-n:e+=r,JXG.Math.eps+n>t&&t>-JXG.Math.eps?t=i+n:this.board.canvasHeight+JXG.Math.eps>t&&t>this.board.canvasHeight-n-JXG.Math.eps?t=this.board.canvasHeight-i:t+=i;return new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board)},cloneToBackground:function(){var e={},t,n,r;return e.id=this.id+"T"+this.numTraces,e.elementClass=JXG.OBJECT_CLASS_LINE,this.numTraces++,e.point1=this.point1,e.point2=this.point2,e.stdform=this.stdform,e.board=this.board,e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,JXG.clearVisPropOld(e),n=this.getSlope(),t=this.getRise(),e.getSlope=function(){return n},e.getRise=function(){return t},r=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(e),this.board.renderer.enhancedRendering=r,this.traces[e.id]=e.rendNode,delete e,this},addTransform:function(e){var t,n=JXG.isArray(e)?e:[e],r=n.length;for(t=0;t<r;t++)this.point1.transformations.push(n[t]),this.point2.transformations.push(n[t]);return this},setPosition:function(e,t){var n;return t=new JXG.Coords(e,t,this.board),n=this.board.create("transform",t.usrCoords.slice(1),{type:"translate"}),this.point1.transformations.length>0&&this.point1.transformations[this.point1.transformations.length-1].isNumericMatrix?this.point1.transformations[this.point1.transformations.length-1].melt(n):this.point1.addTransform(this.point1,n),this.point2.transformations.length>0&&this.point2.transformations[this.point2.transformations.length-1].isNumericMatrix?this.point2.transformations[this.point2.transformations.length-1].melt(n):this.point2.addTransform(this.point2,n),this},setPositionDirectly:function(e,t,n){var r,i,s=new JXG.Coords(e,t,this.board),o=new JXG.Coords(e,n,this.board);return!this.point1.draggable()||!this.point2.draggable()?this:(r=JXG.Math.Statistics.subtract(s.usrCoords,o.usrCoords),i=this.board.create("transform",r.slice(1),{type:"translate"}),i.applyOnce([this.point1,this.point2]),this)},snapToGrid:function(){return this.visProp.snaptogrid&&(this.point1.snapToGrid(),this.point2.snapToGrid()),this},X:function(e){var t=this.stdform[2],n;return n=Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps?this.point1.coords.usrCoords[1]:this.point2.coords.usrCoords[1],e=(e-.5)*2,e<0?(e*=-1,(1-e)*n+e*t):(1-e)*n-e*t},Y:function(e){var t=this.stdform[1],n;return n=Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps?this.point1.coords.usrCoords[2]:this.point2.coords.usrCoords[2],e=(e-.5)*2,e<0?(e*=-1,(1-e)*n-e*t):(1-e)*n+e*t},Z:function(e){var t=Math.abs(this.point1.coords.usrCoords[0])>JXG.Math.eps?this.point1.coords.usrCoords[0]:this.point2.coords.usrCoords[0];return e=(e-.5)*2,e<0&&(e*=-1),(1-e)*t},L:function(){return this.point1.Dist(this.point2)},minX:function(){return 0},maxX:function(){return 1},bounds:function(){var e=this.point1.coords.usrCoords,t=this.point2.coords.usrCoords;return[Math.min(e[1],t[1]),Math.max(e[2],t[2]),Math.max(e[1],t[1]),Math.min(e[2],t[2])]},addTicks:function(e){if(e.id==""||typeof e.id=="undefined")e.id=this.id+"_ticks_"+(this.ticks.length+1);return this.board.renderer.drawTicks(e),this.ticks.push(e),e.id},remove:function(){this.removeAllTicks(),JXG.GeometryElement.prototype.remove.call(this)},removeAllTicks:function(){var e,t;for(t=this.ticks.length;t>0;t--)this.removeTicks(this.ticks[t-1]);this.ticks=new Array,this.board.update()},removeTicks:function(e){var t,n;this.defaultTicks!=null&&this.defaultTicks==e&&(this.defaultTicks=null);for(t=this.ticks.length;t>0;t--)if(this.ticks[t-1]==e){this.board.removeObject(this.ticks[t-1]);if(this.ticks[t-1].ticks)for(n=0;n<this.ticks[t-1].ticks.length;n++)this.ticks[t-1].labels[n]!=null&&this.board.removeObject(this.ticks[t-1].labels[n]);delete this.ticks[t-1];break}},hideElement:function(){var e;JXG.GeometryElement.prototype.hideElement.call(this);for(e=0;e<this.ticks.length;e++)this.ticks[e].hideElement()},showElement:function(){var e;JXG.GeometryElement.prototype.showElement.call(this);for(e=0;e<this.ticks.length;e++)this.ticks[e].showElement()}}),JXG.createLine=function(e,t,n){var r,i,s,o,u,a=[],f=!1,l;if(t.length==2){if(JXG.isArray(t[0])&&t[0].length>1)u=JXG.copyAttributes(n,e.options,"line","point1"),i=e.create("point",t[0],u);else if(JXG.isString(t[0])||t[0].elementClass==JXG.OBJECT_CLASS_POINT)i=JXG.getReference(e,t[0]);else if(typeof t[0]=="function"&&t[0]().elementClass==JXG.OBJECT_CLASS_POINT)i=t[0](),f=!0;else{if(typeof t[0]!="function"||!t[0]().length||t[0]().length!==2)throw new Error("JSXGraph: Can't create line with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");u=JXG.copyAttributes(n,e.options,"line","point1"),i=JXG.createPoint(e,t[0](),u),f=!0}if(JXG.isArray(t[1])&&t[1].length>1)u=JXG.copyAttributes(n,e.options,"line","point2"),s=e.create("point",t[1],u);else if(JXG.isString(t[1])||t[1].elementClass==JXG.OBJECT_CLASS_POINT)s=JXG.getReference(e,t[1]);else if(typeof t[1]=="function"&&t[1]().elementClass==JXG.OBJECT_CLASS_POINT)s=t[1](),f=!0;else{if(typeof t[1]!="function"||!t[1]().length||t[1]().length!==2)throw new Error("JSXGraph: Can't create line with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");u=JXG.copyAttributes(n,e.options,"line","point2"),s=JXG.createPoint(e,t[1](),u),f=!0}u=JXG.copyAttributes(n,e.options,"line"),r=new JXG.Line(e,i,s,u),f?(r.constrained=!0,r.funp1=t[0],r.funp2=t[1]):r.isDraggable=!0,r.constrained||(r.parents=[i.id,s.id])}else if(t.length==3){l=!0;for(o=0;o<3;o++)if(typeof t[o]=="number")a[o]=function(e){return function(){return e}}(t[o]);else{if(typeof t[o]!="function")throw new Error("JSXGraph: Can't create line with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");a[o]=t[o],l=!1}u=JXG.copyAttributes(n,e.options,"line","point1"),l?i=e.create("point",[a[2]()*a[2]()+a[1]()*a[1](),a[2]()-a[1]()*a[0]()+a[2](),-a[1]()-a[2]()*a[0]()-a[1]()],u):i=e.create("point",[function(){return(0+a[2]()*a[2]()+a[1]()*a[1]())*.5},function(){return(a[2]()-a[1]()*a[0]()+a[2]())*.5},function(){return(-a[1]()-a[2]()*a[0]()-a[1]())*.5}],u),u=JXG.copyAttributes(n,e.options,"line","point2"),l?s=e.create("point",[a[2]()*a[2]()+a[1]()*a[1](),-a[1]()*a[0]()+a[2](),-a[2]()*a[0]()-a[1]()],u):s=e.create("point",[function(){return a[2]()*a[2]()+a[1]()*a[1]()},function(){return-a[1]()*a[0]()+a[2]()},function(){return-a[2]()*a[0]()-a[1]()}],u),i.prepareUpdate().update(),s.prepareUpdate().update(),u=JXG.copyAttributes(n,e.options,"line"),r=new JXG.Line(e,i,s,u),r.isDraggable=l,l&&(r.parents=[a[0](),a[1](),a[2]()])}else if(t.length==1&&typeof t[0]=="function"&&t[0]().length==2&&t[0]()[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[0]()[1].elementClass==JXG.OBJECT_CLASS_POINT){var c=t[0]();u=JXG.copyAttributes(n,e.options,"line"),r=new JXG.Line(e,c[0],c[1],u),r.constrained=!0,r.funps=t[0]}else{if(t.length!=1||typeof t[0]!="function"||t[0]().length!=3||typeof t[0]()[0]!="number"||typeof t[0]()[1]!="number"||typeof t[0]()[2]!="number")throw new Error("JSXGraph: Can't create line with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");c=t[0],u=JXG.copyAttributes(n,e.options,"line","point1"),i=e.create("point",[function(){var e=c();return[(0+e[2]*e[2]+e[1]*e[1])*.5,(e[2]-e[1]*e[0]+e[2])*.5,(-e[1]-e[2]*e[0]-e[1])*.5]}],u),u=JXG.copyAttributes(n,e.options,"line","point2"),s=e.create("point",[function(){var e=c();return[e[2]*e[2]+e[1]*e[1],-e[1]*e[0]+e[2],-e[2]*e[0]-e[1]]}],u),u=JXG.copyAttributes(n,e.options,"line"),r=new JXG.Line(e,i,s,u),r.constrained=!0,r.funps=t[0]}return r},JXG.JSXGraph.registerElement("line",JXG.createLine),JXG.createSegment=function(e,t,n){var r,i,s;n.straightFirst=!1,n.straightLast=!1,s=JXG.copyAttributes(n,e.options,"segment"),r=e.create("line",t.slice(0,2),s);if(t.length==3){r.hasFixedLength=!0;if(JXG.isNumber(t[2]))r.fixedLength=function(){return t[2]};else{if(!JXG.isFunction(t[2]))throw new Error("JSXGraph: Can't create segment with third parent type '"+typeof t[2]+"'."+"\nPossible third parent types: number or function");r.fixedLength=t[2]}r.fixedLengthOldCoords=[],r.fixedLengthOldCoords[0]=new JXG.Coords(JXG.COORDS_BY_USER,r.point1.coords.usrCoords.slice(1,3),e),r.fixedLengthOldCoords[1]=new JXG.Coords(JXG.COORDS_BY_USER,r.point2.coords.usrCoords.slice(1,3),e)}return r.elType="segment",r},JXG.JSXGraph.registerElement("segment",JXG.createSegment),JXG.createArrow=function(e,t,n){var r;return n.firstArrow=!1,n.lastArrow=!0,r=e.create("line",t,n).setStraight(!1,!1),r.type=JXG.OBJECT_TYPE_VECTOR,r.elType="arrow",r},JXG.JSXGraph.registerElement("arrow",JXG.createArrow),JXG.createAxis=function(e,t,n){var r,i,s;if(!JXG.isArray(t[0])&&!JXG.isPoint(t[0])||!JXG.isArray(t[1])&&!JXG.isPoint(t[1]))throw new Error("JSXGraph: Can't create axis with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point], [[x1,y1],[x2,y2]]");r=JXG.copyAttributes(n,e.options,"axis"),i=e.create("line",t,r),i.type=JXG.OBJECT_TYPE_AXIS,i.isDraggable=!1,i.point1.isDraggable=!1,i.point2.isDraggable=!1;for(var o in i.ancestors)i.ancestors[o].type=JXG.OBJECT_TYPE_AXISPOINT;return r=JXG.copyAttributes(n,e.options,"axis","ticks"),JXG.exists(r.ticksdistance)?s=r.ticksdistance:JXG.isArray(r.ticks)?s=r.ticks:s=1,i.defaultTicks=e.create("ticks",[i,s],r),i.defaultTicks.dump=!1,i.elType="axis",i.subs={ticks:i.defaultTicks},i},JXG.JSXGraph.registerElement("axis",JXG.createAxis),JXG.createTangent=function(e,t,n){var r,i,s,o,u,a,f,l;if(t.length==1)r=t[0],i=r.slideObject;else{if(t.length!=2)throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [glider], [point,line|curve|circle|conic]");if(JXG.isPoint(t[0]))r=t[0],i=t[1];else{if(!JXG.isPoint(t[1]))throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [glider], [point,line|curve|circle|conic]");i=t[0],r=t[1]}}if(i.elementClass==JXG.OBJECT_CLASS_LINE)l=e.create("line",[i.point1,i.point2],n);else if(i.elementClass==JXG.OBJECT_CLASS_CURVE&&i.type!=JXG.OBJECT_TYPE_CONIC)i.visProp.curvetype!="plot"?(s=i.X,o=i.Y,l=e.create("line",[function(){return-r.X()*e.D(o)(r.position)+r.Y()*e.D(s)(r.position)},function(){return e.D(o)(r.position)},function(){return-e.D(s)(r.position)}],n),r.addChild(l),l.glider=r):(l=e.create("line",[function(){return u=Math.floor(r.position),u==i.numberPoints-1&&u--,u<0?1:i.Y(u)*i.X(u+1)-i.X(u)*i.Y(u+1)},function(){return u=Math.floor(r.position),u==i.numberPoints-1&&u--,u<0?0:i.Y(u+1)-i.Y(u)},function(){return u=Math.floor(r.position),u==i.numberPoints-1&&u--,u<0?0:i.X(u)-i.X(u+1)}],n),r.addChild(l),l.glider=r);else if(i.type==JXG.OBJECT_TYPE_TURTLE)l=e.create("line",[function(){u=Math.floor(r.position);for(a=0;a<i.objects.length;a++){f=i.objects[a];if(f.type==JXG.OBJECT_TYPE_CURVE){if(u<f.numberPoints)break;u-=f.numberPoints}}return u==f.numberPoints-1&&u--,u<0?1:f.Y(u)*f.X(u+1)-f.X(u)*f.Y(u+1)},function(){u=Math.floor(r.position);for(a=0;a<i.objects.length;a++){f=i.objects[a];if(f.type==JXG.OBJECT_TYPE_CURVE){if(u<f.numberPoints)break;u-=f.numberPoints,moveTo(funps)}}return u==f.numberPoints-1&&u--,u<0?0:f.Y(u+1)-f.Y(u)},function(){u=Math.floor(r.position);for(a=0;a<i.objects.length;a++){f=i.objects[a];if(f.type==JXG.OBJECT_TYPE_CURVE){if(u<f.numberPoints)break;u-=f.numberPoints}}return u==f.numberPoints-1&&u--,u<0?0:f.X(u)-f.X(u+1)}],n),r.addChild(l),l.glider=r;else if(i.elementClass==JXG.OBJECT_CLASS_CIRCLE||i.type==JXG.OBJECT_TYPE_CONIC)l=e.create("line",[function(){return JXG.Math.matVecMult(i.quadraticform,r.coords.usrCoords)[0]},function(){return JXG.Math.matVecMult(i.quadraticform,r.coords.usrCoords)[1]},function(){return JXG.Math.matVecMult(i.quadraticform,r.coords.usrCoords)[2]}],n),r.addChild(l),l.glider=r;if(!JXG.exists(l))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");l.elType="tangent",l.parents=[];for(u=0;u<t.length;u++)l.parents.push(t[u].id);return l},JXG.JSXGraph.registerElement("tangent",JXG.createTangent),JXG.JSXGraph.registerElement("polar",JXG.createTangent),JXG.Group=function(e,t,n){var r,i,s,o,u;this.board=e,this.objects={},r=this.board.numObjects,this.board.numObjects++,t==""||!JXG.exists(t)?this.id=this.board.id+"Group"+r:this.id=t,this.board.groups[this.id]=this,this.type=JXG.OBJECT_TYPE_POINT,this.elementClass=JXG.OBJECT_CLASS_POINT,n==""||!JXG.exists(n)?this.name="group_"+this.board.generateName(this):this.name=n,delete this.type,arguments.length==4&&JXG.isArray(arguments[3])?i=arguments[3]:i=Array.prototype.slice.call(arguments,3);for(s=0;s<i.length;s++)o=JXG.getReference(this.board,i[s]),!o.visProp.fixed&&(o.type==JXG.OBJECT_TYPE_POINT||o.type==JXG.OBJECT_TYPE_GLIDER)&&(o.group.length!=0?this.addGroup(o.group[o.group.length-1]):this.addPoint(o));this.suspendUpdate=!1,this.dX=0,this.dY=0},JXG.extend(JXG.Group.prototype,{ungroup:function(){var e;for(e in this.objects)JXG.isArray(this.objects[e].point.group)&&this.objects[e].point.group[this.objects[e].point.group.length-1]==this&&this.objects[e].point.group.pop(),this.removePoint(this.objects[e].point)},suspendUpdate:function(){this.suspendUpdate=!0},unsuspendUpdate:function(){this.suspendUpdate=!1},update:function(e,t,n,r){var i=null,s;if(!this.suspendUpdate){this.suspendUpdate=!0;for(s in this.objects)JXG.exists(this.board.objects[s])?(i=this.objects[s].point,i.id!=e.id&&i.coords.setCoordinates(JXG.COORDS_BY_USER,[i.coords.usrCoords[1]+t,i.coords.usrCoords[2]+n]),this.objects[s].point.prepareUpdate().update(!1).updateRenderer()):delete this.objects[s];this.suspendUpdate=!1}return this},addPoint:function(e){this.objects[e.id]={point:e,handler:function(t,n){this.update(e,e.coords.usrCoords[1]-t[1],e.coords.usrCoords[2]-t[2],e.coords.usrCoords[0]-t[0])}},e.coords.on("update",this.objects[e.id].handler,this)},addPoints:function(e){var t;for(t=0;t<e.length;t++)this.addPoint(e[t])},addGroup:function(e){var t;for(t in e.objects)this.addPoint(e.objects[t].point)},removePoint:function(e){var t;this.objects[e.id].point.coords.off("update",this.objects[e.id].handler),delete this.objects[e.id]},setProperty:function(){var e;for(e in this.objects)this.objects[e].point.setProperty.apply(this.objects[e].point,arguments)}}),JXG.createGroup=function(e,t,n){var r,i=new JXG.Group(e,n.id,n.name,t);i.elType="group",i.parents=[];for(r=0;r<t.length;r++)i.parents.push(t[r].id);return i},JXG.JSXGraph.registerElement("group",JXG.createGroup),JXG.Circle=function(e,t,n,r,i){this.constructor(e,i,JXG.OBJECT_TYPE_CIRCLE,JXG.OBJECT_CLASS_CIRCLE),this.method=t,this.midpoint=JXG.getReference(this.board,n),this.center=JXG.getReference(this.board,n),this.point2=null,this.radius=0,this.line=null,this.circle=null,t=="twoPoints"?(this.point2=JXG.getReference(e,r),this.radius=this.Radius()):t=="pointRadius"?(this.gxtterm=r,this.updateRadius=JXG.createFunction(r,this.board,null,!0),this.updateRadius()):t=="pointLine"?(this.line=JXG.getReference(e,r),this.radius=this.line.point1.coords.distance(JXG.COORDS_BY_USER,this.line.point2.coords)):t=="pointCircle"&&(this.circle=JXG.getReference(e,r),this.radius=this.circle.Radius()),this.id=this.board.setId(this,"C"),this.board.renderer.drawEllipse(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="circle",this.createLabel(),this.center.addChild(this),t=="pointRadius"?this.notifyParents(r):t=="pointLine"?this.line.addChild(this):t=="pointCircle"?this.circle.addChild(this):t=="twoPoints"&&this.point2.addChild(this),this.methodMap=JXG.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",radius:"Radius"})},JXG.Circle.prototype=new JXG.GeometryElement,JXG.extend(JXG.Circle.prototype,{hasPoint:function(e,t){var n=this.board.options.precision.hasPoint/this.board.unitX,r=this.center.coords.usrCoords,i=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),s=this.Radius(),o=Math.sqrt((r[1]-i.usrCoords[1])*(r[1]-i.usrCoords[1])+(r[2]-i.usrCoords[2])*(r[2]-i.usrCoords[2]));return this.visProp.hasinnerpoints?o<s+n:Math.abs(o-s)<n},generatePolynomial:function(e){var t=this.center.symbolic.x,n=this.center.symbolic.y,r=e.symbolic.x,i=e.symbolic.y,s=this.generateRadiusSquared();if(s=="")return[];var o="(("+r+")-("+t+"))^2 + (("+i+")-("+n+"))^2 - ("+s+")";return[o]},generateRadiusSquared:function(){var e="",t,n,r,i,s,o;return this.method=="twoPoints"?(t=this.center.symbolic.x,n=this.center.symbolic.y,r=this.point2.symbolic.x,i=this.point2.symbolic.y,e="(("+r+")-("+t+"))^2 + (("+i+")-("+n+"))^2"):this.method=="pointRadius"?typeof this.radius=="number"&&(e=""+this.radius*this.radius):this.method=="pointLine"?(r=this.line.point1.symbolic.x,i=this.line.point1.symbolic.y,s=this.line.point2.symbolic.x,o=this.line.point2.symbolic.y,e="(("+r+")-("+s+"))^2 + (("+i+")-("+o+"))^2"):this.method=="pointCircle"&&(e=this.circle.Radius()),e},update:function(){return this.needsUpdate&&(this.visProp.trace&&this.cloneToBackground(!0),this.method=="pointLine"?this.radius=this.line.point1.coords.distance(JXG.COORDS_BY_USER,this.line.point2.coords):this.method=="pointCircle"?this.radius=this.circle.Radius():this.method=="pointRadius"&&(this.radius=this.updateRadius()),this.updateStdform(),this.updateQuadraticform()),this},updateQuadraticform:function(){var e=this.center,t=e.X(),n=e.Y(),r=this.Radius();this.quadraticform=[[t*t+n*n-r*r,-t,-n],[-t,1,0],[-n,0,1]]},updateStdform:function(){this.stdform[3]=.5,this.stdform[4]=this.Radius(),this.stdform[1]=-this.center.coords.usrCoords[1],this.stdform[2]=-this.center.coords.usrCoords[2],this.normalize()},updateRenderer:function(){if(this.needsUpdate&&this.visProp.visible){var e=this.isReal;this.isReal=!isNaN(this.center.coords.usrCoords[1]+this.center.coords.usrCoords[2]+this.Radius())&&this.center.isReal,this.isReal?(e!=this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.show(this.label.content)),this.board.renderer.updateEllipse(this)):e!=this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.content.visProp.visible&&this.board.renderer.hide(this.label.content)),this.needsUpdate=!1}this.hasLabel&&this.label.content.visProp.visible&&this.isReal&&(this.label.content.update(),this.board.renderer.updateText(this.label.content))},notifyParents:function(e){typeof e=="string"&&JXG.GeonextParser.findDependencies(this,e+"",this.board)},setRadius:function(e){return this.updateRadius=JXG.createFunction(e,this.board,null,!0),this.board.update(),this},Radius:function(e){if(JXG.exists(e))return this.setRadius(e),this.Radius();if(this.method=="twoPoints")return JXG.Math.Geometry.distance(this.point2.coords.usrCoords,[0,0,0])==0||JXG.Math.Geometry.distance(this.center.coords.usrCoords,[0,0,0])==0?NaN:this.center.Dist(this.point2);if(this.method=="pointLine"||this.method=="pointCircle")return this.radius;if(this.method=="pointRadius")return this.updateRadius()},getRadius:function(){return this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var e=this.Radius(),t=this.center.coords.usrCoords,n,r;switch(this.visProp.label.position){case"lft":n=t[1]-e,r=t[2];break;case"llft":n=t[1]-Math.sqrt(.5)*e,r=t[2]-Math.sqrt(.5)*e;break;case"rt":n=t[1]+e,r=t[2];break;case"lrt":n=t[1]+Math.sqrt(.5)*e,r=t[2]-Math.sqrt(.5)*e;break;case"urt":n=t[1]+Math.sqrt(.5)*e,r=t[2]+Math.sqrt(.5)*e;break;case"top":n=t[1],r=t[2]+e;break;case"bot":n=t[1],r=t[2]-e;break;case"ulft":default:n=t[1]-Math.sqrt(.5)*e,r=t[2]+Math.sqrt(.5)*e}return new JXG.Coords(JXG.COORDS_BY_USER,[n,r],this.board)},cloneToBackground:function(){var e={},t,n;return e.id=this.id+"T"+this.numTraces,e.elementClass=JXG.OBJECT_CLASS_CIRCLE,this.numTraces++,e.center={},e.center.coords=this.center.coords,t=this.Radius(),e.Radius=function(){return t},e.getRadius=function(){return t},e.board=this.board,e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,JXG.clearVisPropOld(e),n=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(e),this.board.renderer.enhancedRendering=n,this.traces[e.id]=e.rendNode,this},addTransform:function(e){var t,n=JXG.isArray(e)?e:[e],r=n.length;for(t=0;t<r;t++)this.center.transformations.push(n[t]),this.method==="twoPoints"&&this.point2.transformations.push(n[t]);return this},snapToGrid:function(){return this.visProp.snaptogrid&&(this.center.snapToGrid(),this.method==="twoPoints"&&this.point2.snapToGrid()),this},setPosition:function(e,t){var n;return t=new JXG.Coords(e,t,this.board),n=this.board.create("transform",t.usrCoords.slice(1),{type:"translate"}),this.addTransform(n),this},setPositionDirectly:function(e,t,n){t=new JXG.Coords(e,t,this.board),n=new JXG.Coords(e,n,this.board);var r=JXG.Math.Statistics.subtract(t.usrCoords,n.usrCoords),i=this.parents.length,s,o;for(s=0;s<i;s++)if(!JXG.getRef(this.board,this.parents[s]).draggable())return this;for(s=0;s<i;s++)o=JXG.getRef(this.board,this.parents[s]),o.coords.setCoordinates(JXG.COORDS_BY_USER,JXG.Math.Statistics.add(o.coords.usrCoords,r));return this.update(),this},X:function(e){return this.Radius()*Math.cos(e*2*Math.PI)+this.center.coords.usrCoords[1]},Y:function(e){return this.Radius()*Math.sin(e*2*Math.PI)+this.center.coords.usrCoords[2]},Z:function(e){return 1},minX:function(){return 0},maxX:function(){return 1},Area:function(){var e=this.Radius();return e*e*Math.PI},bounds:function(){var e=this.center.coords.usrCoords,t=this.Radius();return[e[1]-t,e[2]+t,e[1]+t,e[2]-t]}}),JXG.createCircle=function(e,t,n){var r,i,s,o,u=!0;i=[];for(s=0;s<t.length;s++)JXG.isPoint(t[s])?i[s]=t[s]:JXG.isArray(t[s])&&t[s].length>1?(o=JXG.copyAttributes(n,e.options,"circle","center"),i[s]=e.create("point",t[s],o)):i[s]=t[s];o=JXG.copyAttributes(n,e.options,"circle");if(t.length==2&&JXG.isPoint(i[0])&&JXG.isPoint(i[1]))r=new JXG.Circle(e,"twoPoints",i[0],i[1],o);else if((JXG.isNumber(i[0])||JXG.isFunction(i[0])||JXG.isString(i[0]))&&JXG.isPoint(i[1]))r=new JXG.Circle(e,"pointRadius",i[1],i[0],o);else if((JXG.isNumber(i[1])||JXG.isFunction(i[1])||JXG.isString(i[1]))&&JXG.isPoint(i[0]))r=new JXG.Circle(e,"pointRadius",i[0],i[1],o);else if(i[0].elementClass==JXG.OBJECT_CLASS_CIRCLE&&JXG.isPoint(i[1]))r=new JXG.Circle(e,"pointCircle",i[1],i[0],o);else if(i[1].elementClass==JXG.OBJECT_CLASS_CIRCLE&&JXG.isPoint(i[0]))r=new JXG.Circle(e,"pointCircle",i[0],i[1],o);else if(i[0].elementClass==JXG.OBJECT_CLASS_LINE&&JXG.isPoint(i[1]))r=new JXG.Circle(e,"pointLine",i[1],i[0],o);else if(i[1].elementClass==JXG.OBJECT_CLASS_LINE&&JXG.isPoint(i[0]))r=new JXG.Circle(e,"pointLine",i[0],i[1],o);else{if(!(t.length==3&&JXG.isPoint(i[0])&&JXG.isPoint(i[1])&&JXG.isPoint(i[2])))throw new Error("JSXGraph: Can't create circle with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point], [point,number], [point,function], [point,circle], [point,point,point]");r=JXG.createCircumcircle(e,i,n)}r.isDraggable=u,r.parents=[];for(s=0;s<t.length;s++)t[s].id&&r.parents.push(t[s].id);return r.elType="circle",r},JXG.JSXGraph.registerElement("circle",JXG.createCircle),JXG.createEllipse=function(e,t,n){var r=[],i,s,o,u,a=JXG.copyAttributes(n,e.options,"conic","foci"),f=JXG.copyAttributes(n,e.options,"conic");for(o=0;o<2;o++)if(t[o].length>1)r[o]=e.create("point",t[o],a);else if(JXG.isPoint(t[o]))r[o]=JXG.getReference(e,t[o]);else if(typeof t[o]=="function"&&t[o]().elementClass===JXG.OBJECT_CLASS_POINT)r[o]=t[o]();else{if(!JXG.isString(t[o]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point,point], [point,point,number|function]");r[o]=JXG.getReference(e,t[o])}if(JXG.isNumber(t[2]))s=JXG.createFunction(t[2],e);else if(typeof t[2]=="function"&&JXG.isNumber(t[2]()))s=t[2];else{if(JXG.isPoint(t[2]))i=JXG.getReference(e,t[2]);else if(t[2].length>1)i=e.create("point",t[2],a);else if(typeof t[2]=="function"&&t[2]().elementClass==JXG.OBJECT_CLASS_POINT)i=t[2]();else{if(!JXG.isString(t[2]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point], [point,point,number|function]");i=JXG.getReference(e,t[2])}s=function(){return i.Dist(r[0])+i.Dist(r[1])}}typeof t[4]=="undefined"&&(t[4]=1.0001*Math.PI),typeof t[3]=="undefined"&&(t[3]=-1.0001*Math.PI);var l=e.create("point",[function(){return(r[0].X()+r[1].X())*.5},function(){return(r[0].Y()+r[1].Y())*.5}],a),c=function(){var e=r[0].X(),t=r[0].Y(),n=r[1].X(),i=r[1].Y(),s,o,u,a=n-e>0?1:-1;Math.abs(n-e)>1e-7?s=Math.atan2(i-t,n-e)+(a<0?Math.PI:0):s=(i-t>0?.5:-0.5)*Math.PI,o=Math.cos(s),u=Math.sin(s);var f=[[1,0,0],[l.X(),o,-u],[l.Y(),u,o]];return f},h=e.create("curve",[function(e){return 0},function(e){return 0},t[3],t[4]],f),p=function(e,t){var n=s()*.5,i=n*n,o=r[1].Dist(r[0])*.5,a=i-o*o,f=Math.sqrt(a),p=[[1,0,0],[0,1,0],[0,0,1]],d,v;return t||(u=c(),d=l.X(),v=l.Y(),p[0][0]=u[0][0],p[0][1]=0,p[0][2]=0,p[1][0]=d*(1-u[1][1])+v*u[1][2],p[1][1]=u[1][1],p[1][2]=u[2][1],p[2][0]=v*(1-u[1][1])-d*u[1][2],p[2][1]=u[1][2],p[2][2]=u[2][2],h.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(p),JXG.Math.matMatMult([[-1+d*d/(n*n)+v*v/a,-d/i,-d/a],[-d/i,1/i,0],[-v/a,0,1/a]],p))),JXG.Math.matVecMult(u,[1,n*Math.cos(e),f*Math.sin(e)])};h.X=function(e,t){return p(e,t)[1]},h.Y=function(e,t){return p(e,t)[2]},h.midpoint=l,h.type=JXG.OBJECT_TYPE_CONIC,l.addChild(h);for(o=0;o<2;o++)JXG.isPoint(r[o])&&r[o].addChild(h);JXG.isPoint(i)&&i.addChild(h),h.parents=[];for(o=0;o<t.length;o++)t[o].id&&h.parents.push(t[o].id);return h},JXG.createHyperbola=function(e,t,n){var r=[],i,s,o,u,a=JXG.copyAttributes(n,e.options,"conic","foci"),f=JXG.copyAttributes(n,e.options,"conic");for(o=0;o<2;o++)if(t[o].length>1)r[o]=e.create("point",t[o],attr_focu);else if(JXG.isPoint(t[o]))r[o]=JXG.getReference(e,t[o]);else if(typeof t[o]=="function"&&t[o]().elementClass==JXG.OBJECT_CLASS_POINT)r[o]=t[o]();else{if(!JXG.isString(t[o]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point,point], [point,point,number|function]");r[o]=JXG.getReference(e,t[o])}if(JXG.isNumber(t[2]))s=JXG.createFunction(t[2],e);else if(typeof t[2]=="function"&&JXG.isNumber(t[2]()))s=t[2];else{if(JXG.isPoint(t[2]))i=JXG.getReference(e,t[2]);else if(t[2].length>1)i=e.create("point",t[2],a);else if(typeof t[2]=="function"&&t[2]().elementClass==JXG.OBJECT_CLASS_POINT)i=t[2]();else{if(!JXG.isString(t[2]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point], [point,point,number|function]");i=JXG.getReference(e,t[2])}s=function(){return i.Dist(r[0])-i.Dist(r[1])}}typeof t[4]=="undefined"&&(t[4]=1.0001*Math.PI),typeof t[3]=="undefined"&&(t[3]=-1.0001*Math.PI);var l=e.create("point",[function(){return(r[0].X()+r[1].X())*.5},function(){return(r[0].Y()+r[1].Y())*.5}],a),c=function(){var e=r[0].X(),t=r[0].Y(),n=r[1].X(),i=r[1].Y(),s,o=n-e>0?1:-1;Math.abs(n-e)>1e-7?s=Math.atan2(i-t,n-e)+(o<0?Math.PI:0):s=(i-t>0?.5:-0.5)*Math.PI;var u=[[1,0,0],[l.X(),Math.cos(s),-Math.sin(s)],[l.Y(),Math.sin(s),Math.cos(s)]];return u},h=e.create("curve",[function(e){return 0},function(e){return 0},t[3],t[4]],f),p=function(e,t){var n=s()*.5,i=n*n,o=r[1].Dist(r[0])*.5,a=Math.sqrt(-n*n+o*o),f=a*a,p=[[1,0,0],[0,1,0],[0,0,1]],d,v;return t||(u=c(),d=l.X(),v=l.Y(),p[0][0]=u[0][0],p[0][1]=0,p[0][2]=0,p[1][0]=d*(1-u[1][1])+v*u[1][2],p[1][1]=u[1][1],p[1][2]=u[2][1],p[2][0]=v*(1-u[1][1])-d*u[1][2],p[2][1]=u[1][2],p[2][2]=u[2][2],h.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(p),JXG.Math.matMatMult([[-1+d*d/i+v*v/f,-d/i,v/f],[-d/i,1/i,0],[v/f,0,-1/f]],p))),JXG.Math.matVecMult(u,[1,n/Math.cos(e),a*Math.tan(e)])};h.X=function(e,t){return p(e,t)[1]},h.Y=function(e,t){return p(e,t)[2]},h.midpoint=l,h.type=JXG.OBJECT_TYPE_CONIC,l.addChild(h);for(o=0;o<2;o++)JXG.isPoint(r[o])&&r[o].addChild(h);JXG.isPoint(i)&&i.addChild(h),h.parents=[];for(o=0;o<t.length;o++)t[o].id&&h.parents.push(t[o].id);return h},JXG.createParabola=function(e,t,n){var r=t[0],s=t[1],o,u=JXG.copyAttributes(n,e.options,"conic","foci"),a=JXG.copyAttributes(n,e.options,"conic");if(t[0].length>1)r=e.create("point",t[0],u);else if(JXG.isPoint(t[0]))r=JXG.getReference(e,t[0]);else if(typeof t[0]=="function"&&t[0]().elementClass==JXG.OBJECT_CLASS_POINT)r=t[0]();else{if(!JXG.isString(t[0]))throw new Error("JSXGraph: Can't create Parabola with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line]");r=JXG.getReference(e,t[0])}typeof t[3]=="undefined"&&(t[3]=10),typeof t[2]=="undefined"&&(t[2]=-10);var f=e.create("point",[function(){var t=[0,s.stdform[1],s.stdform[2]];return t=JXG.Math.crossProduct(t,r.coords.usrCoords),JXG.Math.Geometry.meetLineLine(t,s.stdform,0,e).usrCoords}],u),l=function(){var e=Math.atan(s.getSlope()),t=(f.X()+r.X())*.5,n=(f.Y()+r.Y())*.5;e+=r.Y()-f.Y()<0||r.Y()==f.Y()&&r.X()>f.X()?Math.PI:0;var i=[[1,0,0],[t*(1-Math.cos(e))+n*Math.sin(e),Math.cos(e),-Math.sin(e)],[n*(1-Math.cos(e))-t*Math.sin(e),Math.sin(e),Math.cos(e)]];return i},c=e.create("curve",[function(e){return 0},function(e){return 0},t[2],t[3]],a),h=function(e,t){var n=f.Dist(r)*.5,i=[[1,0,0],[0,1,0],[0,0,1]],s=(f.X()+r.X())*.5,u=(f.Y()+r.Y())*.5;return t||(o=l(),i[0][0]=o[0][0],i[0][1]=0,i[0][2]=0,i[1][0]=s*(1-o[1][1])+u*o[1][2],i[1][1]=o[1][1],i[1][2]=o[2][1],i[2][0]=u*(1-o[1][1])-s*o[1][2],i[2][1]=o[1][2],i[2][2]=o[2][2],c.quadraticform=JXG.Math.matMatMult(JXG.Math.transpose(i),JXG.Math.matMatMult([[-u*4*n-s*s,s,2*n],[s,-1,0],[2*n,0,0]],i))),JXG.Math.matVecMult(o,[1,e+s,e*e/(n*4)+u])};c.X=function(e,t){return h(e,t)[1]},c.Y=function(e,t){return h(e,t)[2]},c.type=JXG.OBJECT_TYPE_CONIC,f.addChild(c),JXG.isPoint(F[1])&&F[1].addChild(c),s.addChild(c),c.parents=[];for(i=0;i<t.length;i++)t[i].id&&c.parents.push(t[i].id);return c},JXG.createConic=function(e,t,n){var r=[[1,0,0],[0,1,0],[0,0,1]],i,s,o,u,a=[[1,0,0],[0,1,0],[0,0,1]],f,l,c=[],h,p,d,v=[],m=JXG.copyAttributes(n,e.options,"conic","foci"),g=JXG.copyAttributes(n,e.options,"conic");if(t.length==5)d=!0;else{if(t.length!=6)throw new Error("JSXGraph: Can't create generic Conic with "+parent.length+" parameters.");d=!1}if(d)for(h=0;h<5;h++)if(t[h].length>1)c[h]=e.create("point",t[h],m);else if(JXG.isPoint(t[h]))c[h]=JXG.getReference(e,t[h]);else if(typeof t[h]=="function"&&t[h]().elementClass==JXG.OBJECT_CLASS_POINT)c[h]=t[h]();else{if(!JXG.isString(t[h]))throw new Error("JSXGraph: Can't create Conic section with parent types '"+typeof t[h]+"'."+"\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]");c[h]=JXG.getReference(e,t[h])}else p=[[0,0,0],[0,0,0],[0,0,0]],p[0][0]=JXG.isFunction(t[2])?function(){return t[2]()}:function(){return t[2]},p[0][1]=JXG.isFunction(t[4])?function(){return t[4]()}:function(){return t[4]},p[0][2]=JXG.isFunction(t[5])?function(){return t[5]()}:function(){return t[5]},p[1][1]=JXG.isFunction(t[0])?function(){return t[0]()}:function(){return t[0]},p[1][2]=JXG.isFunction(t[3])?function(){return t[3]()}:function(){return t[3]},p[2][2]=JXG.isFunction(t[1])?function(){return t[1]()}:function(){return t[1]};var y=function(e){var t,n;for(t=0;t<3;t++)for(n=t;n<3;n++)e[t][n]+=e[n][t];for(t=0;t<3;t++)for(n=0;n<t;n++)e[t][n]=e[n][t];return e},b=function(e,t){var n,r,i=[[0,0,0],[0,0,0],[0,0,0]];for(n=0;n<3;n++)for(r=0;r<3;r++)i[n][r]=e[n]*t[r];return y(i)},w=function(e,t,n){var r,i,s,o=[[0,0,0],[0,0,0],[0,0,0]],u,a;s=JXG.Math.matVecMult(t,n),r=JXG.Math.innerProduct(n,s),s=JXG.Math.matVecMult(e,n),i=JXG.Math.innerProduct(n,s);for(u=0;u<3;u++)for(a=0;a<3;a++)o[u][a]=r*e[u][a]-i*t[u][a];return o},E=e.create("curve",[function(e){return 0},function(e){return 0},0,2*Math.PI],g),S=function(e,t){var n,h,m,g;if(!t){if(d){for(n=0;n<5;n++)v[n]=c[n].coords.usrCoords;f=b(JXG.Math.crossProduct(v[0],v[1]),JXG.Math.crossProduct(v[2],v[3])),l=b(JXG.Math.crossProduct(v[0],v[2]),JXG.Math.crossProduct(v[1],v[3])),a=w(f,l,v[4])}else for(n=0;n<3;n++)for(h=n;h<3;h++)a[n][h]=p[n][h](),h>n&&(a[h][n]=a[n][h]);E.quadraticform=a,i=JXG.Math.Numerics.Jacobi(a),i[0][0][0]<0&&(i[0][0][0]*=-1,i[0][1][1]*=-1,i[0][2][2]*=-1);for(n=0;n<3;n++){m=0;for(h=0;h<3;h++)m+=i[1][h][n]*i[1][h][n];m=Math.sqrt(m);for(h=0;h<3;h++);}r=i[1],u=Math.sqrt(Math.abs(i[0][0][0])),s=Math.sqrt(Math.abs(i[0][1][1])),o=Math.sqrt(Math.abs(i[0][2][2]))}return i[0][1][1]<=0&&i[0][2][2]<=0?g=JXG.Math.matVecMult(r,[1/u,Math.cos(e)/s,Math.sin(e)/o]):i[0][1][1]<=0&&i[0][2][2]>0?g=JXG.Math.matVecMult(r,[Math.cos(e)/u,1/s,Math.sin(e)/o]):i[0][2][2]<0&&(g=JXG.Math.matVecMult(r,[Math.sin(e)/u,Math.cos(e)/s,1/o])),g[1]/=g[0],g[2]/=g[0],g[0]=1,g};E.X=function(e,t){return S(e,t)[1]},E.Y=function(e,t){return S(e,t)[2]},E.midpoint=e.create("point",[function(){var e=E.quadraticform;return[e[1][1]*e[2][2]-e[1][2]*e[1][2],e[1][2]*e[0][2]-e[2][2]*e[0][1],e[0][1]*e[1][2]-e[1][1]*e[0][2]]}],m),E.type=JXG.OBJECT_TYPE_CONIC;if(d){for(h=0;h<5;h++)JXG.isPoint(c[h])&&c[h].addChild(E);E.parents=[];for(h=0;h<t.length;h++)t[h].id&&E.parents.push(t[h].id)}return E.addChild(E.midpoint),E},JXG.JSXGraph.registerElement("ellipse",JXG.createEllipse),JXG.JSXGraph.registerElement("hyperbola",JXG.createHyperbola),JXG.JSXGraph.registerElement("parabola",JXG.createParabola),JXG.JSXGraph.registerElement("conic",JXG.createConic),JXG.Polygon=function(e,t,n){this.constructor(e,n,JXG.OBJECT_TYPE_POLYGON,JXG.OBJECT_CLASS_AREA);var r,i,s,o=JXG.copyAttributes(n,e.options,"polygon","borders");this.withLines=n.withlines,this.attr_line=o,this.vertices=[];for(r=0;r<t.length;r++)i=JXG.getRef(this.board,t[r]),this.vertices[r]=i;this.vertices[this.vertices.length-1]!=this.vertices[0]&&this.vertices.push(this.vertices[0]),this.borders=[];if(this.withLines)for(r=0;r<this.vertices.length-1;r++)o.id=o.ids&&o.ids[r],o.strokecolor=JXG.isArray(o.colors)&&o.colors[r%o.colors.length]||o.strokecolor,o.strokecolor===!1&&(o.strokecolor="none"),s=JXG.createSegment(e,[this.vertices[r],this.vertices[r+1]],o),s.dump=!1,this.borders[r]=s,s.parentPolygon=this;for(r=0;r<this.vertices.length-1;r++)i=JXG.getReference(this.board,this.vertices[r]),i.addChild(this);this.id=this.board.setId(this,"Py"),this.board.renderer.drawPolygon(this),this.board.finalizeAdding(this),this.elType="polygon",this.createLabel(),this.methodMap.borders="borders",this.methodMap.vertices="vertices"},JXG.Polygon.prototype=new JXG.GeometryElement,JXG.extend(JXG.Polygon.prototype,{hasPoint:function(e,t){var n,r,i,s=!1;if(this.visProp.hasinnerpoints){i=this.vertices.length;for(n=0,r=i-2;n<i-1;r=n++)this.vertices[n].coords.scrCoords[2]>t!=this.vertices[r].coords.scrCoords[2]>t&&e<(this.vertices[r].coords.scrCoords[1]-this.vertices[n].coords.scrCoords[1])*(t-this.vertices[n].coords.scrCoords[2])/(this.vertices[r].coords.scrCoords[2]-this.vertices[n].coords.scrCoords[2])+this.vertices[n].coords.scrCoords[1]&&(s=!s)}else{i=this.borders.length;for(n=0;n<i;n++)if(this.borders[n].hasPoint(e,t)){s=!0;break}}return s},updateRenderer:function(){this.needsUpdate&&(this.board.renderer.updatePolygon(this),this.needsUpdate=!1),this.hasLabel&&this.label.content.visProp.visible&&(this.label.content.update(),this.board.renderer.updateText(this.label.content))},getTextAnchor:function(){var e=this.vertices[0].X(),t=this.vertices[0].Y(),n=e,r=t,i;for(i=0;i<this.vertices.length;i++)this.vertices[i].X()<e&&(e=this.vertices[i].X()),this.vertices[i].X()>n&&(n=this.vertices[i].X()),this.vertices[i].Y()>t&&(t=this.vertices[i].Y()),this.vertices[i].Y()<r&&(r=this.vertices[i].Y());return new JXG.Coords(JXG.COORDS_BY_USER,[(e+n)*.5,(t+r)*.5],this.board)},getLabelAnchor:JXG.shortcut(JXG.Polygon.prototype,"getTextAnchor"),cloneToBackground:function(){var e={},t;return e.id=this.id+"T"+this.numTraces,this.numTraces++,e.vertices=this.vertices,e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,JXG.clearVisPropOld(e),t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawPolygon(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},hideElement:function(){var e;this.visProp.visible=!1,this.board.renderer.hide(this);for(e=0;e<this.borders.length;e++)this.borders[e].hideElement();this.hasLabel&&JXG.exists(this.label)&&(this.label.hiddenByParent=!0,this.label.content.visProp.visible&&this.board.renderer.hide(this.label.content))},showElement:function(){var e;this.visProp.visible=!0,this.board.renderer.show(this);for(e=0;e<this.borders.length;e++)this.borders[e].showElement();this.hasLabel&&JXG.exists(this.label)&&this.label.content.visProp.visible&&this.board.renderer.show(this.label.content)},Area:function(){var e=0,t;for(t=0;t<this.vertices.length-1;t++)e+=this.vertices[t].X()*this.vertices[t+1].Y()-this.vertices[t+1].X()*this.vertices[t].Y();return e/=2,Math.abs(e)},remove:function(){var e;for(e=0;e<this.borders.length;e++)this.board.removeObject(this.borders[e]);JXG.GeometryElement.prototype.remove.call(this)},findPoint:function(e){var t;if(!JXG.isPoint(e))return-1;for(t=0;t<this.vertices.length;t++)if(this.vertices[t].id===e.id)return t;return-1},addPoints:function(){var e=Array.prototype.slice.call(arguments);return this.insertPoints.apply(this,[this.vertices.length-2].concat(e))},insertPoints:function(){var e,t,n=[],r;if(arguments.length===0)return this;e=arguments[0];if(e<0||e>this.vertices.length-2)return this;for(t=1;t<arguments.length;t++)JXG.isPoint(arguments[t])&&n.push(arguments[t]);r=this.vertices.slice(0,e+1).concat(n),this.vertices=r.concat(this.vertices.slice(e+1));if(this.withLines){r=this.borders.slice(0,e),this.board.removeObject(this.borders[e]);for(t=0;t<n.length;t++)r.push(JXG.createSegment(this.board,[this.vertices[e+t],this.vertices[e+t+1]],this.attr_line));r.push(JXG.createSegment(this.board,[this.vertices[e+n.length],this.vertices[e+n.length+1]],this.attr_line)),this.borders=r.concat(this.borders.slice(e))}return this.board.update(),this},removePoints:function(){var e,t,n,r=[],i=[],s=[],o=[];this.vertices=this.vertices.slice(0,this.vertices.length-1);for(e=0;e<arguments.length;e++)JXG.isPoint(arguments[e])&&(n=this.findPoint(arguments[e])),JXG.isNumber(n)&&n>-1&&n<this.vertices.length&&JXG.indexOf(s,n)===-1&&s.push(n);s=s.sort(),r=this.vertices.slice(),i=this.borders.slice(),this.withLines&&o.push([s[s.length-1]]);for(e=s.length-1;e>-1;e--)r[s[e]]=-1,this.withLines&&s[e]-1>s[e-1]&&(o[o.length-1][1]=s[e],o.push([s[e-1]]));this.withLines&&(o[o.length-1][1]=s[0]),this.vertices=[];for(e=0;e<r.length;e++)JXG.isPoint(r[e])&&this.vertices.push(r[e]);this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]);if(this.withLines){for(e=0;e<o.length;e++){for(t=o[e][1]-1;t<o[e][0]+1;t++)t<0?(t=0,this.board.removeObject(this.borders[i.length-1]),i[i.length-1]=-1):t>i.length-1&&(t=i.length-1),this.board.removeObject(this.borders[t]),i[t]=-1;o[e][1]!==0&&o[e][0]!==r.length-1&&(i[o[e][0]-1]=JXG.createSegment(this.board,[r[Math.max(o[e][1]-1,0)],r[Math.min(o[e][0]+1,this.vertices.length-1)]],this.attr_line))}this.borders=[];for(e=0;e<i.length;e++)i[e]!==-1&&this.borders.push(i[e]);(o[0][1]===5||o[o.length-1][1]===0)&&this.borders.push(JXG.createSegment(this.board,[this.vertices[0],this.vertices[this.vertices.length-2]],this.attr_line))}return this.board.update(),this},getParents:function(){var e=[],t;for(t=0;t<this.vertices.length;t++)e.push(this.vertices[t].id);return e},getAttributes:function(){var e=JXG.GeometryElement.prototype.getAttributes.call(this),t;if(this.withLines){e.lines=e.lines||{},e.lines.ids=[],e.lines.colors=[];for(t=0;t<this.borders.length;t++)e.lines.ids.push(this.borders[t].id),e.lines.colors.push(this.borders[t].visProp.strokecolor)}return e},setPositionDirectly:function(e,t,n){var r,i,s,o,u=new JXG.Coords(e,t,this.board),a=new JXG.Coords(e,n,this.board);o=this.vertices.length-1;for(s=0;s<o;s++)if(!this.vertices[s].draggable())return this;return r=JXG.Math.Statistics.subtract(u.usrCoords,a.usrCoords),i=this.board.create("transform",r.slice(1),{type:"translate"}),i.applyOnce(this.vertices.slice(0,-1)),this}}),JXG.createPolygon=function(e,t,n){var r,i,s=JXG.copyAttributes(n,e.options,"polygon");for(i=0;i<t.length;i++){t[i]=JXG.getReference(e,t[i]);if(!JXG.isPoint(t[i]))throw new Error("JSXGraph: Can't create polygon with parent types other than 'point'.")}return r=new JXG.Polygon(e,t,s),r.isDraggable=!0,r},JXG.createRegularPolygon=function(e,t,n){var r,i,s,o=[],u,a,f,l,c;if(JXG.isNumber(t[t.length-1])&&t.length!=3)throw new Error("JSXGraph: A regular polygon needs two points and a number as input.");f=t.length,s=t[f-1];if(!JXG.isNumber(s)&&!JXG.isPoint(JXG.getReference(e,s))||s<3)throw new Error("JSXGraph: The third parameter has to be number greater than 2 or a point.");JXG.isPoint(JXG.getReference(e,s))?(s=f,l=!0):(f--,l=!1);for(i=0;i<f;i++){t[i]=JXG.getReference(e,t[i]);if(!JXG.isPoint(t[i]))throw new Error("JSXGraph: Can't create regular polygon if the first two parameters aren't points.")}o[0]=t[0],o[1]=t[1],c=JXG.copyAttributes(n,e.options,"polygon","vertices");for(i=2;i<s;i++)u=e.create("transform",[Math.PI*(2-(s-2)/s),o[i-1]],{type:"rotate"}),l?(o[i]=t[i],o[i].addTransform(t[i-2],u)):(JXG.isArray(c.ids)&&c.ids.length>=s-2&&(c.id=c.ids[i-2]),o[i]=e.create("point",[o[i-2],u],c),o[i].type=JXG.OBJECT_TYPE_CAS,o[i].isDraggable=!0,o[i].visProp.fixed=!1);return c=JXG.copyAttributes(n,e.options,"polygon"),r=e.create("polygon",o,c),r.elType="regularpolygon",r},JXG.JSXGraph.registerElement("polygon",JXG.createPolygon),JXG.JSXGraph.registerElement("regularpolygon",JXG.createRegularPolygon),JXG.Curve=function(e,t,n){this.constructor(e,n,JXG.OBJECT_TYPE_CURVE,JXG.OBJECT_CLASS_CURVE),this.points=[],this.numberPoints=this.visProp.numberpointshigh,this.bezierDegree=1,this.dataX=null,this.dataY=null,t[0]!=null?this.varname=t[0]:this.varname="x",this.xterm=t[1],this.yterm=t[2],this.generateTerm(this.varname,this.xterm,this.yterm,t[3],t[4]),this.updateCurve(),this.id=this.board.setId(this,"G"),this.board.renderer.drawCurve(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="curve",this.createLabel(),typeof this.xterm=="string"&&this.notifyParents(this.xterm),typeof this.yterm=="string"&&this.notifyParents(this.yterm)},JXG.Curve.prototype=new JXG.GeometryElement,JXG.extend(JXG.Curve.prototype,{minX:function(){if(this.visProp.curvetype=="polar")return 0;var e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board);return e.usrCoords[1]},maxX:function(){var e;return this.visProp.curvetype=="polar"?2*Math.PI:(e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[this.board.canvasWidth,0],this.board),e.usrCoords[1])},Z:function(e){return 1},hasPoint:function(e,t,n){var r,i=Infinity,s,o,u,a,f,l,c,h,p,d,v,m,g=this.visProp.numberpointslow,y=(this.maxX()-this.minX())/g,b=this.board.options.precision.hasPoint/this.board.unitX,w,E,S=!0,x,T;b*=b,w=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),e=w.usrCoords[1],t=w.usrCoords[2],this.transformations.length>0&&(this.updateTransformMatrix(),x=JXG.Math.inverse(this.transformMat),T=JXG.Math.matVecMult(x,[1,e,t]),e=T[1],t=T[2]);if(this.visProp.curvetype=="parameter"||this.visProp.curvetype=="polar"||this.visProp.curvetype=="functiongraph")for(s=0,r=this.minX();s<g;s++){o=this.X(r,S),u=this.Y(r,S),i=(e-o)*(e-o)+(t-u)*(t-u);if(i<b)return!0;r+=y}else if(this.visProp.curvetype=="plot"){if(!JXG.exists(n)||n<0)n=0;E=this.numberPoints;for(s=n;s<E-1;s++){a=this.X(s),f=this.Y(s),l=e-a,c=t-f,h=this.X(s+1)-a,p=this.Y(s+1)-f,v=h*h+p*p,i=l*l+c*c,v>=JXG.Math.eps?(d=l*h+c*p,m=d/v,i-=m*d):m=0;if(m>=0&&m<=1&&i<b)return!0}return!1}return i<b},allocatePoints:function(){var e,t;t=this.numberPoints;if(this.points.length<this.numberPoints)for(e=this.points.length;e<t;e++)this.points[e]=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board)},update:function(){return this.needsUpdate&&(this.visProp.trace&&this.cloneToBackground(!0),this.updateCurve()),this},updateRenderer:function(){return this.needsUpdate&&this.visProp.visible&&(this.board.renderer.updateCurve(this),this.needsUpdate=!1,this.hasLabel&&this.label.content.visProp.visible&&(this.label.content.update(),this.board.renderer.updateText(this.label.content))),this},updateDataArray:function(){},updateCurve:function(){var e,t,n,r,i,s,o=!1;this.updateTransformMatrix(),this.updateDataArray(),t=this.minX(),n=this.maxX();if(this.dataX!=null){this.numberPoints=this.dataX.length,e=this.numberPoints,this.allocatePoints();for(s=0;s<e;s++)r=s,this.dataY!=null?(i=s,this.points[s].setCoordinates(JXG.COORDS_BY_USER,[this.dataX[s],this.dataY[s]],!1)):(i=this.X(r),this.points[s].setCoordinates(JXG.COORDS_BY_USER,[this.dataX[s],this.Y(i,o)],!1)),this.updateTransform(this.points[s]),o=!0}else{this.visProp.doadvancedplot?this.updateParametricCurve(t,n,e):(this.board.updateQuality==this.board.BOARD_QUALITY_HIGH?this.numberPoints=this.visProp.numberpointshigh:this.numberPoints=this.visProp.numberpointslow,this.allocatePoints(),this.updateParametricCurveNaive(t,n,this.numberPoints)),e=this.numberPoints;for(s=0;s<e;s++)this.updateTransform(this.points[s])}return this},updateTransformMatrix:function(){var e,t,n,r=this.transformations.length;this.transformMat=[[1,0,0],[0,1,0],[0,0,1]];for(n=0;n<r;n++)e=this.transformations[n],e.update(),this.transformMat=JXG.Math.matMatMult(e.matrix,this.transformMat);return this},updateParametricCurveNaive:function(e,t,n){var r,i,s=!1,o=(t-e)/n;for(r=0;r<n;r++)i=e+r*o,this.points[r].setCoordinates(JXG.COORDS_BY_USER,[this.X(i,s),this.Y(i,s)],!1),s=!0;return this},updateParametricCurve:function(e,t){var n,r,i,s=!1,o=new JXG.Coords(JXG.COORDS_BY_USER,[0,0],this.board),u,a,f,l,c,h,p,d,v,m=[],g=[],y=[],b=[],w=!1,E=0,S,x=function(e,t,n){var r=n[1]-e[1],i=n[2]-e[2],s=t[0]-e[1],o=t[1]-e[2],u=s*s+o*o,a,f;return u>=JXG.Math.eps&&(a=(r*s+i*o)/u,a>0&&(a<=1?(r-=a*s,i-=a*o):(r-=s,i-=o))),f=r*r+i*i,Math.sqrt(f)};this.board.updateQuality==this.board.BOARD_QUALITY_LOW?(p=15,d=10,v=10):(p=21,d=.7,v=.7),b[0]=t-e;for(n=1;n<p;n++)b[n]=b[n-1]*.5;n=1,m[0]=1,g[0]=0,r=e,o.setCoordinates(JXG.COORDS_BY_USER,[this.X(r,s),this.Y(r,s)],!1),s=!0,f=o.scrCoords[1],l=o.scrCoords[2],i=r,r=t,o.setCoordinates(JXG.COORDS_BY_USER,[this.X(r,s),this.Y(r,s)],!1),u=o.scrCoords[1],a=o.scrCoords[2],y[0]=[u,a],c=1,h=0,this.points=[],this.points[E++]=new JXG.Coords(JXG.COORDS_BY_SCREEN,[f,l],this.board);do{w=this.isDistOK(u-f,a-l,d,v)||this.isSegmentOutside(f,l,u,a);while(h<p&&(!w||h<6)&&(h<=7||this.isSegmentDefined(f,l,u,a)))m[c]=n,g[c]=h,y[c]=[u,a],c++,n=2*n-1,h++,r=e+n*b[h],o.setCoordinates(JXG.COORDS_BY_USER,[this.X(r,s),this.Y(r,s)],!1),u=o.scrCoords[1],a=o.scrCoords[2],w=this.isDistOK(u-f,a-l,d,v)||this.isSegmentOutside(f,l,u,a);E>1&&(S=x(this.points[E-2].scrCoords,[u,a],this.points[E-1].scrCoords),S<.015&&E--),this.points[E]=new JXG.Coords(JXG.COORDS_BY_SCREEN,[u,a],this.board),E++,f=u,l=a,i=r,c--,u=y[c][0],a=y[c][1],h=g[c]+1,n=m[c]*2}while(c>0&&E<5e5);return this.numberPoints=this.points.length,this},isSegmentOutside:function(e,t,n,r){return t<0&&r<0||t>this.board.canvasHeight&&r>this.board.canvasHeight||e<0&&n<0||e>this.board.canvasWidth&&n>this.board.canvasWidth},isDistOK:function(e,t,n,r){return Math.abs(e)<n&&Math.abs(t)<r&&!isNaN(e+t)},isSegmentDefined:function(e,t,n,r){return!isNaN(e+t)||!isNaN(n+r)},updateTransform:function(e){var t,n=this.transformations.length;return n>0&&(t=JXG.Math.matVecMult(this.transformMat,e.usrCoords),e.setCoordinates(JXG.COORDS_BY_USER,[t[1],t[2]])),e},addTransform:function(e){var t,n=JXG.isArray(e)?e:[e],r=n.length;for(t=0;t<r;t++)this.transformations.push(n[t]);return this},setPosition:function(e,t){var n,r,i=0,s;JXG.exists(this.parents)&&(i=this.parents.length);for(s=0;s<i;s++){r=JXG.getRef(this.board,this.parents[s]);if(!r.draggable())return this}t=new JXG.Coords(e,t,this.board),n=this.board.create("transform",t.usrCoords.slice(1),{type:"translate"});if(i>0)for(s=0;s<i;s++)r=JXG.getRef(this.board,this.parents[s]),n.applyOnce(r);else this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(n):this.addTransform(n);return this},setPositionDirectly:function(e,t,n){var r=new JXG.Coords(e,t,this.board),i=new JXG.Coords(e,n,this.board),s=JXG.Math.Statistics.subtract(r.usrCoords,i.usrCoords);return this.setPosition(JXG.COORDS_BY_USER,s),this},interpolationFunctionFromArray:function(e){var t="data"+e;return function(e,n){var r,i,s,o=this[t],u=o.length,a,f,l,c=[],h;if(isNaN(e))return NaN;if(e<0)return JXG.isFunction(o[0])?o[0]():o[0];if(this.bezierDegree==3){u/=3;if(e>=u)return JXG.isFunction(o[o.length-1])?o[o.length-1]():o[o.length-1];r=Math.floor(e)*3,f=e%1,l=1-f;for(h=0;h<4;h++)JXG.isFunction(o[r+h])?c[h]=o[r+h]():c[h]=o[r+h];return l*l*(l*c[0]+3*f*c[1])+(3*l*c[2]+f*c[3])*f*f}e>u-2?r=u-2:r=parseInt(Math.floor(e));if(r==e)return JXG.isFunction(o[r])?o[r]():o[r];for(h=0;h<2;h++)JXG.isFunction(o[r+h])?c[h]=o[r+h]():c[h]=o[r+h];return c[0]+(c[1]-c[0])*(e-r)}},generateTerm:function(e,t,n,r,i){var s,o;if(JXG.isArray(t))this.dataX=t,this.numberPoints=this.dataX.length,this.X=this.interpolationFunctionFromArray("X"),this.visProp.curvetype="plot",this.isDraggable=!0;else{this.X=JXG.createFunction(t,this.board,e);if(JXG.isString(t))this.visProp.curvetype="functiongraph";else if(JXG.isFunction(t)||JXG.isNumber(t))this.visProp.curvetype="parameter";this.isDraggable=!0}JXG.isArray(n)?(this.dataY=n,this.Y=this.interpolationFunctionFromArray("Y")):this.Y=JXG.createFunction(n,this.board,e),JXG.isFunction(t)&&JXG.isArray(n)&&(s=JXG.createFunction(n[0],this.board,""),o=JXG.createFunction(n[1],this.board,""),this.X=function(e){return t(e)*Math.cos(e)+s()},this.Y=function(e){return t(e)*Math.sin(e)+o()},this.visProp.curvetype="polar"),r!=null&&(this.minX=JXG.createFunction(r,this.board,"")),i!=null&&(this.maxX=JXG.createFunction(i,this.board,""))},notifyParents:function(e){JXG.GeonextParser.findDependencies(this,e,this.board)},getLabelAnchor:function(){var e,t,n,r=.05*this.board.canvasWidth,i=.05*this.board.canvasHeight,s=.95*this.board.canvasWidth,o=.95*this.board.canvasHeight;switch(this.visProp.label.position){case"ulft":t=r,n=i;break;case"llft":t=r,n=o;break;case"rt":t=s,n=.5*o;break;case"lrt":t=s,n=o;break;case"urt":t=s,n=i;break;case"top":t=.5*s,n=i;break;case"bot":t=.5*s,n=o;break;case"lft":default:t=r,n=.5*o}return e=new JXG.Coords(JXG.COORDS_BY_SCREEN,[t,n],this.board),JXG.Math.Geometry.projectCoordsToCurve(e.usrCoords[1],e.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var e={},t;return e.id=this.id+"T"+this.numTraces,e.elementClass=JXG.OBJECT_CLASS_CURVE,this.numTraces++,e.points=this.points.slice(0),e.numberPoints=this.numberPoints,e.board=this.board,e.visProp=JXG.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.visProp.curvetype=this.visProp.curvetype,JXG.clearVisPropOld(e),t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawCurve(e),this.board.renderer.enhancedRendering=t,this.traces[e.id]=e.rendNode,this},bounds:function(){var e=Infinity,t=-Infinity,n=Infinity,r=-Infinity,i=this.points.length,s;for(s=0;s<i;s++)e>this.points[s].usrCoords[1]&&(e=this.points[s].usrCoords[1]),t<this.points[s].usrCoords[1]&&(t=this.points[s].usrCoords[1]),n>this.points[s].usrCoords[2]&&(n=this.points[s].usrCoords[2]),r<this.points[s].usrCoords[2]&&(r=this.points[s].usrCoords[2]);return[e,r,t,n]}}),JXG.createCurve=function(e,t,n){var r=JXG.copyAttributes(n,e.options,"curve");return new JXG.Curve(e,["x"].concat(t),r)},JXG.JSXGraph.registerElement("curve",JXG.createCurve),JXG.createFunctiongraph=function(e,t,n){var r,i=["x","x"].concat(t);return r=JXG.copyAttributes(n,e.options,"curve"),r.curvetype="functiongraph",new JXG.Curve(e,i,r)},JXG.JSXGraph.registerElement("functiongraph",JXG.createFunctiongraph),JXG.JSXGraph.registerElement("plot",JXG.createFunctiongraph),JXG.createSpline=function(e,t,n){var r;return r=function(){var e,n=[],r=[],i=function(i,s){var o,u;if(!s){n=[],r=[];if(t.length==2&&JXG.isArray(t[0])&&JXG.isArray(t[1])&&t[0].length==t[1].length)for(o=0;o<t[0].length;o++)typeof t[0][o]=="function"?n.push(t[0][o]()):n.push(t[0][o]),typeof t[1][o]=="function"?r.push(t[1][o]()):r.push(t[1][o]);else for(o=0;o<t.length;o++)if(JXG.isPoint(t[o]))n.push(t[o].X()),r.push(t[o].Y());else if(JXG.isArray(t[o])&&t[o].length==2)for(o=0;o<t.length;o++)typeof t[o][0]=="function"?n.push(t[o][0]()):n.push(t[o][0]),typeof t[o][1]=="function"?r.push(t[o][1]()):r.push(t[o][1]);e=JXG.Math.Numerics.splineDef(n,r)}return JXG.Math.Numerics.splineEval(i,n,r,e)};return i},e.create("curve",["x",r()],n)},JXG.JSXGraph.registerElement("spline",JXG.createSpline),JXG.createRiemannsum=function(e,t,n){var r,i,s,o,u,a;a=JXG.copyAttributes(n,e.options,"riemannsum"),a.curvetype="plot",s=t[0],r=JXG.createFunction(t[1],e,"");if(r==null)throw new Error("JSXGraph: JXG.createRiemannsum: argument '2' n has to be number or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");i=JXG.createFunction(t[2],e,"",!1);if(i==null)throw new Error("JSXGraph: JXG.createRiemannsum: argument 3 'type' has to be string or function.\nPossible parent types: [function,n:number|function,type,start:number|function,end:number|function]");return o=[[0],[0]].concat(t.slice(3)),u=e.create("curve",o,a),u.sum=0,u.Value=function(){return this.sum},u.updateDataArray=function(){var e=JXG.Math.Numerics.riemann(s,r(),i(),this.minX(),this.maxX());this.dataX=e[0],this.dataY=e[1],this.sum=e[2]},u},JXG.JSXGraph.registerElement("riemannsum",JXG.createRiemannsum),JXG.createTracecurve=function(e,t,n){var r,i,s,o;if(t.length!=2)throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]");i=JXG.getRef(this.board,t[0]),s=JXG.getRef(this.board,t[1]);if(i.type!=JXG.OBJECT_TYPE_GLIDER||!JXG.isPoint(s))throw new Error("JSXGraph: Can't create trace curve with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [glider, point]");return o=JXG.copyAttributes(n,e.options,"tracecurve"),o.curvetype="plot",r=e.create("curve",[[0],[0]],o),r.updateDataArray=function(){var e,t,n,r,u,a,f,l,c=o.numberpoints,h,p=i.position,d=i.slideObject,v=d.minX(),m=d.maxX(),g;t=(m-v)/c,this.dataX=[],this.dataY=[],d.elementClass!=JXG.OBJECT_CLASS_CURVE&&c++;for(e=0;e<c;e++){n=v+e*t,a=d.X(n)/d.Z(n),f=d.Y(n)/d.Z(n),i.setPositionDirectly(JXG.COORDS_BY_USER,[a,f]),h=!1;for(r in this.board.objects){u=this.board.objects[r],u==i&&(h=!0);if(!h)continue;if(!u.needsRegularUpdate)continue;g=u.visProp.trace,u.visProp.trace=!1,u.needsUpdate=!0,u.update(!0),u.visProp.trace=g;if(u==s)break}this.dataX[e]=s.X(),this.dataY[e]=s.Y()}i.position=p,h=!1;for(r in this.board.objects){u=this.board.objects[r],u==i&&(h=!0);if(!h)continue;if(!u.needsRegularUpdate)continue;g=u.visProp.trace,u.visProp.trace=!1,u.needsUpdate=!0,u.update(!0),u.visProp.trace=g;if(u==s)break}},r},JXG.JSXGraph.registerElement("tracecurve",JXG.createTracecurve),JXG.createArc=function(e,t,n){var r,i,s;if(!(t=JXG.checkParents("arc",t,[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]])))throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]");i=JXG.copyAttributes(n,e.options,"arc"),r=e.create("curve",[[0],[0]],i),r.elType="arc",r.parents=[];for(s=0;s<t.length;s++)t[s].id&&r.parents.push(t[s].id);return r.type=JXG.OBJECT_TYPE_ARC,r.center=JXG.getReference(e,t[0]),r.radiuspoint=JXG.getReference(e,t[1]),r.point2=r.radiuspoint,r.anglepoint=JXG.getReference(e,t[2]),r.point3=r.anglepoint,r.center.addChild(r),r.radiuspoint.addChild(r),r.anglepoint.addChild(r),r.useDirection=i.usedirection,r.updateDataArray=function(){var e=this.radiuspoint,n=this.center,r=this.anglepoint,i,s,o,u,a,f,l=n.X(),c=n.Y(),h=n.Z(),p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A=1,O=Math.PI*.5;a=JXG.Math.Geometry.rad(e,n,r);if(this.visProp.type=="minor"&&a>Math.PI||this.visProp.type=="major"&&a<Math.PI)a=2*Math.PI-a,A=-1;this.useDirection&&(v=t[1].coords.usrCoords,m=t[3].coords.usrCoords,g=t[2].coords.usrCoords,d=(v[1]-g[1])*(v[2]-m[2])-(v[2]-g[2])*(v[1]-m[1]),d<0?(this.radiuspoint=t[1],this.anglepoint=t[2]):(this.radiuspoint=t[2],this.anglepoint=t[1])),y=[e.Z(),e.X(),e.Y()],E=y.slice(0),L=n.Dist(e),l/=h,c/=h,this.dataX=[y[1]/y[0]],this.dataY=[y[2]/y[0]];while(a>JXG.Math.eps)a>=O?(i=O,a-=O):(i=a,a=0),s=Math.cos(A*i),o=Math.sin(A*i),u=[[1,0,0],[l*(1-s)+c*o,s,-o],[c*(1-s)-l*o,o,s]],p=JXG.Math.matVecMult(u,y),E=[p[0]/p[0],p[1]/p[0],p[2]/p[0]],x=y[1]-l,T=y[2]-c,N=E[1]-l,C=E[2]-c,k=Math.sqrt((x+N)*(x+N)+(T+C)*(T+C)),Math.abs(C-T)>JXG.Math.eps?S=(x+N)*(L/k-.5)/(C-T)*8/3:S=(T+C)*(L/k-.5)/(x-N)*8/3,b=[1,y[1]-S*T,y[2]+S*x],w=[1,E[1]+S*C,E[2]-S*N],this.dataX=this.dataX.concat([b[1],w[1],E[1]]),this.dataY=this.dataY.concat([b[2],w[2],E[2]]),y=E.slice(0);this.bezierDegree=3,this.updateStdform(),this.updateQuadraticform()},r.Radius=function(){return this.radiuspoint.Dist(this.center)},r.getRadius=function(){return this.Radius()},r.hasPoint=function(e,t){var n=this.board.options.precision.hasPoint/this.board.unitX,r=this.Radius(),i,s,o,u,a,f,l,c;s=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),this.transformations.length>0&&(this.updateTransformMatrix(),l=JXG.Math.inverse(this.transformMat),c=JXG.Math.matVecMult(l,s.usrCoords),s=new JXG.Coords(JXG.COORDS_BY_USER,c,this.board)),i=this.center.coords.distance(JXG.COORDS_BY_USER,s),o=Math.abs(i-r)<n;if(o){u=JXG.Math.Geometry.rad(this.radiuspoint,this.center,s.usrCoords.slice(1)),a=0,f=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if(this.visProp.type=="minor"&&f>Math.PI||this.visProp.type=="major"&&f<Math.PI)a=f,f=2*Math.PI;if(u<a||u>f)o=!1}return o},r.hasPointSector=function(e,t){var n=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),r=this.Radius(),i=this.center.coords.distance(JXG.COORDS_BY_USER,n),s=i<r,o,u,a;if(s){o=JXG.Math.Geometry.rad(this.radiuspoint,this.center,n.usrCoords.slice(1)),u=0,a=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if(this.visProp.type=="minor"&&a>Math.PI||this.visProp.type=="major"&&a<Math.PI)u=a,a=2*Math.PI;if(o<u||o>a)s=!1}return s},r.getTextAnchor=function(){return this.center.coords},r.getLabelAnchor=function(){var e,t=10/this.board.unitX,n=10/this.board.unitY,r=this.point2.coords.usrCoords,i=this.center.coords.usrCoords,s=r[1]-i[1],o=r[2]-i[2],u,a,f,l;this.label.content!=null&&(this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)),e=JXG.Math.Geometry.rad(this.radiuspoint,this.center,this.anglepoint);if(this.visProp.type=="minor"&&e>Math.PI||this.visProp.type=="major"&&e<Math.PI)e=-(2*Math.PI-e);return u=new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+Math.cos(e*.5)*s-Math.sin(e*.5)*o,i[2]+Math.sin(e*.5)*s+Math.cos(e*.5)*o],this.board),a=u.usrCoords[1]-i[1],f=u.usrCoords[2]-i[2],l=Math.sqrt(a*a+f*f),a=a*(l+t)/l,f=f*(l+n)/l,new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+a,i[2]+f],this.board)},r.updateQuadraticform=function(){var e=this.center,t=e.X(),n=e.Y(),r=this.Radius();this.quadraticform=[[t*t+n*n-r*r,-t,-n],[-t,1,0],[-n,0,1]]},r.updateStdform=function(){this.stdform[3]=.5,this.stdform[4]=this.Radius(),this.stdform[1]=-this.center.coords.usrCoords[1],this.stdform[2]=-this.center.coords.usrCoords[2],this.normalize()},r.prepareUpdate().update(),r},JXG.JSXGraph.registerElement("arc",JXG.createArc),JXG.createSemicircle=function(e,t,n){var r,i,s;if(!JXG.isPoint(t[0])||!JXG.isPoint(t[1]))throw new Error("JSXGraph: Can't create Semicircle with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point]");return s=JXG.copyAttributes(n,e.options,"semicircle","midpoint"),i=e.create("midpoint",[t[0],t[1]],s),i.dump=!1,s=JXG.copyAttributes(n,e.options,"semicircle"),r=e.create("arc",[i,t[1],t[0]],s),r.elType="semicircle",r.parents=[t[0].id,t[1].id],r.subs={midpoint:i},r.midpoint=r.center=i,r},JXG.JSXGraph.registerElement("semicircle",JXG.createSemicircle),JXG.createCircumcircleArc=function(e,t,n){var r,i,s;if(!(JXG.isPoint(t[0])&&JXG.isPoint(t[1])&&JXG.isPoint(t[2])))throw new Error("JSXGraph: create Circumcircle Arc with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]");return s=JXG.copyAttributes(n,e.options,"circumcirclearc","center"),i=e.create("circumcenter",[t[0],t[1],t[2]],s),i.dump=!1,s=JXG.copyAttributes(n,e.options,"circumcirclearc"),s.usedirection=!0,r=e.create("arc",[i,t[0],t[2],t[1]],s),r.elType="circumcirclearc",r.parents=[t[0].id,t[1].id,t[2].id],r.subs={center:i},r.center=i,r},JXG.JSXGraph.registerElement("circumcirclearc",JXG.createCircumcircleArc),JXG.createMinorArc=function(e,t,n){return n.type="minor",JXG.createArc(e,t,n)},JXG.JSXGraph.registerElement("minorarc",JXG.createMinorArc),JXG.createMajorArc=function(e,t,n){return n.type="major",JXG.createArc(e,t,n)},JXG.JSXGraph.registerElement("majorarc",JXG.createMajorArc),JXG.createSector=function(e,t,n){var r,i;if(!(JXG.isPoint(t[0])&&JXG.isPoint(t[1])&&JXG.isPoint(t[2])))throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'.");return i=JXG.copyAttributes(n,e.options,"sector"),r=e.create("curve",[[0],[0]],i),r.type=JXG.OBJECT_TYPE_SECTOR,r.elType="sector",r.parents=[t[0].id,t[1].id,t[2].id],r.point1=JXG.getReference(e,t[0]),r.center=r.point1,r.point2=JXG.getReference(e,t[1]),r.radiuspoint=r.point2,r.point3=JXG.getReference(e,t[2]),r.anglepoint=r.point3,r.point1.addChild(r),r.point2.addChild(r),r.point3.addChild(r),r.useDirection=n.usedirection,r.updateDataArray=function(){var e=this.point2,n=this.point1,r=this.point3,i,s,o,u,a=JXG.Math.Geometry.rad(e,n,r),f,l=n.X(),c=n.Y(),h=n.Z(),p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A=Math.PI*.5;this.useDirection&&(v=t[1].coords.usrCoords,m=t[3].coords.usrCoords,g=t[2].coords.usrCoords,d=(v[1]-g[1])*(v[2]-m[2])-(v[2]-g[2])*(v[1]-m[1]),d<0?(this.point2=t[1],this.point3=t[2]):(this.point2=t[2],this.point3=t[1])),L=n.Dist(e),y=[e.Z(),e.X(),e.Y()],y[1]/=y[0],y[2]/=y[0],y[0]/=y[0],E=y.slice(0),l/=h,c/=h,this.dataX=[l,l+.333*(y[1]-l),l+.666*(y[1]-l),y[1]],this.dataY=[c,c+.333*(y[2]-c),c+.666*(y[2]-c),y[2]];while(a>JXG.Math.eps)a>=A?(i=A,a-=A):(i=a,a=0),s=Math.cos(i),o=Math.sin(i),u=[[1,0,0],[l*(1-s)+c*o,s,-o],[c*(1-s)-l*o,o,s]],p=JXG.Math.matVecMult(u,y),E=[p[0]/p[0],p[1]/p[0],p[2]/p[0]],x=y[1]-l,T=y[2]-c,N=E[1]-l,C=E[2]-c,k=Math.sqrt((x+N)*(x+N)+(T+C)*(T+C)),Math.abs(C-T)>JXG.Math.eps?S=(x+N)*(L/k-.5)/(C-T)*8/3:S=(T+C)*(L/k-.5)/(x-N)*8/3,b=[1,y[1]-S*T,y[2]+S*x],w=[1,E[1]+S*C,E[2]-S*N],this.dataX=this.dataX.concat([b[1],w[1],E[1]]),this.dataY=this.dataY.concat([b[2],w[2],E[2]]),y=E.slice(0);this.dataX=this.dataX.concat([E[1]+.333*(l-E[1]),E[1]+.666*(l-E[1]),l]),this.dataY=this.dataY.concat([E[2]+.333*(c-E[2]),E[2]+.666*(c-E[2]),c]),this.bezierDegree=3},r.Radius=function(){return this.point2.Dist(this.point1)},r.getRadius=function(){return this.Radius()},r.hasPoint=function(e,t){var n=this.board.options.precision.hasPoint/this.board.unitX,r=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),i=this.Radius(),s=this.center.coords.distance(JXG.COORDS_BY_USER,r),o=Math.abs(s-i)<n,u,a,f;if(o){u=JXG.Math.Geometry.rad(this.point2,this.center,r.usrCoords.slice(1)),a=0,f=JXG.Math.Geometry.rad(this.point2,this.center,this.point3);if(u<a||u>f)o=!1}return o},r.hasPointSector=function(e,t){var n=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),r=this.Radius(),i=this.point1.coords.distance(JXG.COORDS_BY_USER,n),s=i<r,o;return s&&(o=JXG.Math.Geometry.rad(this.point2,this.point1,n.usrCoords.slice(1)),o>JXG.Math.Geometry.rad(this.point2,this.point1,this.point3)&&(s=!1)),s},r.getTextAnchor=function(){return this.point1.coords},r.getLabelAnchor=function(){var e=JXG.Math.Geometry.rad(this.point2,this.point1,this.point3),t=13/this.board.unitX,n=13/this.board.unitY,r=this.point2.coords.usrCoords,i=this.point1.coords.usrCoords,s=r[1]-i[1],o=r[2]-i[2],u,a,f,l;return this.label.content!=null&&(this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)),u=new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+Math.cos(e*.5)*s-Math.sin(e*.5)*o,i[2]+Math.sin(e*.5)*s+Math.cos(e*.5)*o],this.board),a=u.usrCoords[1]-i[1],f=u.usrCoords[2]-i[2],l=Math.sqrt(a*a+f*f),a=a*(l+t)/l,f=f*(l+n)/l,new JXG.Coords(JXG.COORDS_BY_USER,[i[1]+a,i[2]+f],this.board)},r.prepareUpdate().update(),r},JXG.JSXGraph.registerElement("sector",JXG.createSector),JXG.createCircumcircleSector=function(e,t,n){var r,i,s;if(!(JXG.isPoint(t[0])&&JXG.isPoint(t[1])&&JXG.isPoint(t[2])))throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'.");return s=JXG.copyAttributes(n,e.options,"circumcirclesector","center"),i=e.create("circumcenter",[t[0],t[1],t[2]],s),i.dump=!1,s=JXG.copyAttributes(n,e.options,"circumcirclesector"),r=e.create("sector",[i,t[0],t[2],t[1]],s),r.elType="circumcirclesector",r.parents=[t[0].id,t[1].id,t[2].id],r.center=i,r.subs={center:i},r},JXG.JSXGraph.registerElement("circumcirclesector",JXG.createCircumcircleSector),JXG.createAngle=function(e,t,n){var r,i,s,o,u,a,f,l;if(!(JXG.isPoint(t[0])&&JXG.isPoint(t[1])&&JXG.isPoint(t[2])))throw new Error("JSXGraph: Can't create angle with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"' and '"+typeof t[2]+"'.");u=JXG.copyAttributes(n,e.options,"angle"),o=u.name;if(typeof o=="undefined"||o=="")o=e.generateName({type:JXG.OBJECT_TYPE_ANGLE}),u.name=o;a=JXG.copyAttributes(n,e.options,"angle","radiuspoint"),i=e.create("point",[0,1,0],a),i.dump=!1,a=JXG.copyAttributes(n,e.options,"angle","pointsquare"),s=e.create("point",[0,1,1],a),s.dump=!1,r=e.create("sector",[t[1],i,t[2]],u),r.elType="angle",r.parents=[t[0].id,t[1].id,t[2].id],r.subs={point:i,pointsquare:s},r.updateDataArraySquare=function(){var e=t[1],n,r,o,u;n=JXG.Math.crossProduct(s.coords.usrCoords,e.coords.usrCoords),r=[-i.X()*n[1]-i.Y()*n[2],i.Z()*n[1],i.Z()*n[2]],n=JXG.Math.crossProduct(i.coords.usrCoords,e.coords.usrCoords),o=[-s.X()*n[1]-s.Y()*n[2],s.Z()*n[1],s.Z()*n[2]],u=JXG.Math.crossProduct(r,o),u[1]/=u[0],u[2]/=u[0],this.dataX=[e.X(),i.X(),u[1],s.X(),e.X()],this.dataY=[e.Y(),i.Y(),u[2],s.Y(),e.Y()],this.bezierDegree=1},r.updateDataArrayNone=function(){this.dataX=[NaN],this.dataY=[NaN],this.bezierDegree=1},r.updateDataArraySector=r.updateDataArray,r.updateDataArray=function(){var e=this.visProp.type,n=JXG.Math.Geometry.trueAngle(t[0],t[1],t[2]);Math.abs(n-90)<this.visProp.orthosensitivity&&(e=this.visProp.orthotype),e=="none"?this.updateDataArrayNone():e==="square"?this.updateDataArraySquare():e==="sector"?this.updateDataArraySector():e==="sectordot"&&(this.updateDataArraySector(),this.dot.visProp.visible===!1&&this.dot.setProperty({visible:!0})),e!=="sectordot"&&this.dot.visProp.visible===!0&&this.dot.setProperty({visible:!1})},i.addConstraint([function(){var e=t[0],n=t[1],i=JXG.evaluate(r.visProp.radius),s=n.Dist(e);return[n.X()+(e.X()-n.X())*i/s,n.Y()+(e.Y()-n.Y())*i/s]}]),s.addConstraint([function(){var e=t[2],n=t[1],i=JXG.evaluate(r.visProp.radius),s=n.Dist(e);return[n.X()+(e.X()-n.X())*i/s,n.Y()+(e.Y()-n.Y())*i/s]}]),r.radiuspoint=i,r.point=i,r.pointsquare=s,l=JXG.copyAttributes(n,e.options,"angle","dot"),r.dot=e.create("point",[function(){if(JXG.exists(r.dot)&&r.dot.visProp.visible===!1)return[0,0];var e=i.coords.usrCoords,n=JXG.Math.Geometry.rad(t[0],t[1],t[2])*.5,s=t[1].X(),o=t[1].Y(),u=[[1,0,0],[s-.5*s*Math.cos(n)+.5*o*Math.sin(n),Math.cos(n)*.5,-Math.sin(n)*.5],[o-.5*s*Math.sin(n)-.5*o*Math.cos(n),Math.sin(n)*.5,Math.cos(n)*.5]];return JXG.Math.matVecMult(u,e)}],l),r.dot.dump=!1,r.subs.dot=r.dot;for(f=0;f<3;f++)JXG.getRef(e,t[f]).addChild(i),JXG.getRef(e,t[f]).addChild(r.dot);return r.type=JXG.OBJECT_TYPE_ANGLE,JXG.getRef(e,t[0]).addChild(r),r.rot=e.create("transform",[function(){return.5*JXG.Math.Geometry.rad(r.point2,r.point1,r.point3)},r.point1],{type:"rotate"}),r.getLabelAnchor=function(){var e=12,t=12,n=this.point1.coords.usrCoords,r,i,s,o;return this.label.content!=null&&(this.label.content.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board)),JXG.exists(this.visProp.label.fontSize)&&(e=this.visProp.label.fontSize,t=this.visProp.label.fontSize),e/=this.board.unitX,t/=this.board.unitY,this.rot.update(),o=JXG.Math.matVecMult(this.rot.matrix,this.point2.coords.usrCoords),r=o[1]-n[1],i=o[2]-n[2],s=Math.sqrt(r*r+i*i),r=r*(s+e)/s,i=i*(s+t)/s,new JXG.Coords(JXG.COORDS_BY_USER,[n[1]+r,n[2]+i],this.board)},r.Value=function(){return JXG.Math.Geometry.rad(this.point2,this.point1,this.point3)},r.methodMap=JXG.deepCopy(r.methodMap,{Value:"Value"}),r.setAngle=function(e){var t,n,r;return t=this.anglepoint,n=this.radiuspoint,t.draggable()&&(r=this.board.create("transform",[e,this.center],{type:"rotate"}),t.addTransform(n,r),t.isDraggable=!1,t.parents=[n]),this},r.free=function(){var e=this.anglepoint;return e.transformations.length>0&&(e.transformations.pop(),e.isDraggable=!0,e.parents=[]),this},r},JXG.JSXGraph.registerElement("angle",JXG.createAngle),JXG.Composition=function(e){var t=["setProperty","prepareUpdate","updateRenderer","update","highlight","noHighlight"],n=function(e){return function(){var t;for(t in r.elements)JXG.exists(r.elements[t][e])&&r.elements[t][e].apply(r.elements[t],arguments);return r}},r=this,i;for(i=0;i<t.length;i++)this[t[i]]=n(t[i]);this.elements={};for(i in e)e.hasOwnProperty(i)&&this.add(i,e[i]);this.dump=!0,this.subs={}},JXG.extend(JXG.Composition.prototype,{add:function(e,t){return!JXG.exists(this[e])&&JXG.exists(t)?(JXG.exists(t.id)?this.elements[t.id]=t:this.elements[e]=t,this[e]=t,!0):!1},remove:function(e){var t=!1,n;for(n in this.elements)if(this.elements[n].id===this[e].id){t=!0;break}return t&&(delete this.elements[this[e].id],delete this[e]),t},getParents:function(){return this.parents},getType:function(){return this.elType},getAttributes:function(){var e={},t;for(t in this.subs)e[t]=this.subs[t].visProp;return this.attr}}),JXG.createOrthogonalProjection=function(e,t,n){var r,i,s,o;if(JXG.isPoint(t[0])&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)i=t[0],r=t[1];else{if(!JXG.isPoint(t[1])||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line]");i=t[1],r=t[0]}return attr=JXG.copyAttributes(n,e.options,"orthogonalprojection"),s=e.create("point",[function(){return JXG.Math.Geometry.projectPointToLine(i,r,e)}],n),i.addChild(s),r.addChild(s),s.elType="orthogonalprojection",s.parents=[i.id,s.id],s.update(),s.generatePolynomial=function(){var e=r.point1.symbolic.x,t=r.point1.symbolic.y,n=r.point2.symbolic.x,o=r.point2.symbolic.y,u=i.symbolic.x,a=i.symbolic.y,f=s.symbolic.x,c=s.symbolic.y,h="("+t+")*("+f+")-("+t+")*("+n+")+("+c+")*("+n+")-("+e+")*("+c+")+("+e+")*("+o+")-("+f+")*("+o+")",d="("+a+")*("+t+")-("+a+")*("+o+")-("+c+")*("+t+")+("+c+")*("+o+")+("+u+")*("+e+")-("+u+")*("+n+")-("+f+")*("+e+")+("+f+")*("+n+")";return[h,d]},s},JXG.createPerpendicular=function(e,t,n){var r,i,s,o;t[0]=JXG.getReference(e,t[0]),t[1]=JXG.getReference(e,t[1]);if(JXG.isPoint(t[0])&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)i=t[1],r=t[0];else{if(!JXG.isPoint(t[1])||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [line,point]");i=t[0],r=t[1]}return o=JXG.copyAttributes(n,e.options,"perpendicular"),s=JXG.createLine(e,[function(){return i.stdform[2]*r.X()-i.stdform[1]*r.Y()},function(){return-i.stdform[2]*r.Z()},function(){return i.stdform[1]*r.Z()}],o),s.elType="perpendicular",s.parents=[i.id,r.id],s},JXG.createPerpendicularPoint=function(e,t,n){var r,i,s;if(JXG.isPoint(t[0])&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)i=t[0],r=t[1];else{if(!JXG.isPoint(t[1])||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line]");i=t[1],r=t[0]}return s=e.create("point",[function(){return JXG.Math.Geometry.perpendicular(r,i,e)[0]}],n),i.addChild(s),r.addChild(s),s.elType="perpendicularpoint",s.parents=[i.id,r.id],s.update(),s.generatePolynomial=function(){var e=r.point1.symbolic.x,t=r.point1.symbolic.y,n=r.point2.symbolic.x,o=r.point2.symbolic.y,u=i.symbolic.x,a=i.symbolic.y,f=s.symbolic.x,c=s.symbolic.y,h="("+t+")*("+f+")-("+t+")*("+n+")+("+c+")*("+n+")-("+e+")*("+c+")+("+e+")*("+o+")-("+f+")*("+o+")",d="("+a+")*("+t+")-("+a+")*("+o+")-("+c+")*("+t+")+("+c+")*("+o+")+("+u+")*("+e+")-("+u+")*("+n+")-("+f+")*("+e+")+("+f+")*("+n+")";return[h,d]},s},JXG.createPerpendicularSegment=function(e,t,n){var r,i,s,o,u;t[0]=JXG.getReference(e,t[0]),t[1]=JXG.getReference(e,t[1]);if(JXG.isPoint(t[0])&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)i=t[1],r=t[0];else{if(!JXG.isPoint(t[1])||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [line,point]");i=t[0],r=t[1]}return u=JXG.copyAttributes(n,e.options,"perpendicularsegment","point"),o=JXG.createPerpendicularPoint(e,[i,r],u),o.dump=!1,JXG.exists(n.layer)||(n.layer=e.options.layer.line),u=JXG.copyAttributes(n,e.options,"perpendicularsegment"),s=JXG.createLine(e,[function(){return JXG.Math.Geometry.perpendicular(i,r,e)[1]?[o,r]:[r,o]}],u),s.point=o,s.elType="perpendicularsegment",s.parents=[r.id,i.id],s.subs={point:o},s},JXG.createMidpoint=function(e,t,n){var r,i,s;if(t.length==2&&JXG.isPoint(t[0])&&JXG.isPoint(t[1]))r=t[0],i=t[1];else{if(t.length!=1||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]");r=t[0].point1,i=t[0].point2}return s=e.create("point",[function(){var e=r.coords.usrCoords[1]+i.coords.usrCoords[1];return isNaN(e)||Math.abs(r.coords.usrCoords[0])<JXG.Math.eps||Math.abs(i.coords.usrCoords[0])<JXG.Math.eps?NaN:e*.5},function(){var e=r.coords.usrCoords[2]+i.coords.usrCoords[2];return isNaN(e)||Math.abs(r.coords.usrCoords[0])<JXG.Math.eps||Math.abs(i.coords.usrCoords[0])<JXG.Math.eps?NaN:e*.5}],n),r.addChild(s),i.addChild(s),s.elType="midpoint",s.parents=[r.id,i.id],s.prepareUpdate().update(),s.generatePolynomial=function(){var e=r.symbolic.x,t=r.symbolic.y,n=i.symbolic.x,o=i.symbolic.y,u=s.symbolic.x,f=s.symbolic.y,l="("+t+")*("+u+")-("+t+")*("+n+")+("+f+")*("+n+")-("+e+")*("+f+")+("+e+")*("+o+")-("+u+")*("+o+")",c="("+e+")^2 - 2*("+e+")*("+u+")+("+t+")^2-2*("+t+")*("+f+")-("+n+")^2+2*("+n+")*("+u+")-("+o+")^2+2*("+o+")*("+f+")";return[l,c]},s},JXG.createParallelPoint=function(e,t,n){var r,i,s,o;if(t.length==3&&t[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[1].elementClass==JXG.OBJECT_CLASS_POINT&&t[2].elementClass==JXG.OBJECT_CLASS_POINT)r=t[0],i=t[1],s=t[2];else if(t[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)s=t[0],r=t[1].point1,i=t[1].point2;else{if(t[1].elementClass!=JXG.OBJECT_CLASS_POINT||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create parallel point with parent types '"+typeof t[0]+"', '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [line,point], [point,point,point]");s=t[1],r=t[0].point1,i=t[0].point2}return o=e.create("point",[function(){return s.coords.usrCoords[1]+i.coords.usrCoords[1]-r.coords.usrCoords[1]},function(){return s.coords.usrCoords[2]+i.coords.usrCoords[2]-r.coords.usrCoords[2]}],n),r.addChild(o),i.addChild(o),s.addChild(o),o.elType="parallelpoint",o.parents=[r.id,i.id,s.id],o.prepareUpdate().update(),o.generatePolynomial=function(){var e=r.symbolic.x,t=r.symbolic.y,n=i.symbolic.x,u=i.symbolic.y,f=s.symbolic.x,l=s.symbolic.y,h=o.symbolic.x,d=o.symbolic.y,v="("+u+")*("+h+")-("+u+")*("+f+")-("+t+")*("+h+")+("+t+")*("+f+")-("+d+")*("+n+")+("+d+")*("+e+")+("+l+")*("+n+")-("+l+")*("+e+")",m="("+d+")*("+e+")-("+d+")*("+f+")-("+u+")*("+e+")+("+u+")*("+f+")-("+h+")*("+t+")+("+h+")*("+l+")+("+n+")*("+t+")-("+n+")*("+l+")";return[v,m]},o},JXG.createParallel=function(e,t,n){var r,i,s,o,u;return r=null,t.length==3?(r=t[2],o=function(){return JXG.Math.crossProduct(t[0].coords.usrCoords,t[1].coords.usrCoords)}):t[0].elementClass==JXG.OBJECT_CLASS_POINT?(r=t[0],o=function(){return t[1].stdform}):t[1].elementClass==JXG.OBJECT_CLASS_POINT&&(r=t[1],o=function(){return t[0].stdform}),JXG.exists(n.layer)||(n.layer=e.options.layer.line),u=JXG.copyAttributes(n,e.options,"parallel","point"),i=e.create("point",[function(){return JXG.Math.crossProduct([1,0,0],o())}],u),i.isDraggable=!0,u=JXG.copyAttributes(n,e.options,"parallel"),s=e.create("line",[r,i],u),s.elType="parallel",s.parents=[t[0].id,t[1].id],t.length===3&&s.parents.push(t[2].id),s.point=i,s},JXG.createArrowParallel=function(e,t,n){var r;try{return n.firstArrow=!1,n.lastArrow=!0,r=JXG.createParallel(e,t,n).setStraight(!1,!1),r.elType="arrowparallel",r}catch(i){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [line,point], [point,point,point]")}},JXG.createNormal=function(e,t,n){var r,i,s,o,u,a,f;if(t.length==1)r=t[0],i=r.slideObject;else{if(t.length!=2)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line], [point,circle], [glider]");if(JXG.isPoint(t[0]))r=t[0],i=t[1];else{if(!JXG.isPoint(t[1]))throw new Error("JSXGraph: Can't create normal with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line], [point,circle], [glider]");i=t[0],r=t[1]}}u=JXG.copyAttributes(n,e.options,"normal");if(i.elementClass==JXG.OBJECT_CLASS_LINE)f=JXG.copyAttributes(n,e.options,"normal","point"),a=e.create("point",[function(){var e=JXG.Math.crossProduct([1,0,0],i.stdform);return[e[0],-e[2],e[1]]}],f),a.isDraggable=!0,s=e.create("line",[r,a],u),s.point=a;else if(i.elementClass==JXG.OBJECT_CLASS_CIRCLE)s=e.create("line",[i.midpoint,r],u);else if(i.elementClass==JXG.OBJECT_CLASS_CURVE)if(i.visProp.curvetype!="plot"){var l=i.X,c=i.Y;s=e.create("line",[function(){return-r.X()*e.D(l)(r.position)-r.Y()*e.D(c)(r.position)},function(){return e.D(l)(r.position)},function(){return e.D(c)(r.position)}],u)}else s=e.create("line",[function(){var e=Math.floor(r.position),t=r.position-e;return e==i.numberPoints-1&&(e--,t=1),e<0?1:(i.Y(e)+t*(i.Y(e+1)-i.Y(e)))*(i.Y(e)-i.Y(e+1))-(i.X(e)+t*(i.X(e+1)-i.X(e)))*(i.X(e+1)-i.X(e))},function(){var e=Math.floor(r.position);return e==i.numberPoints-1&&e--,e<0?0:i.X(e+1)-i.X(e)},function(){var e=Math.floor(r.position);return e==i.numberPoints-1&&e--,e<0?0:i.Y(e+1)-i.Y(e)}],u);else{if(i.type!=JXG.OBJECT_TYPE_TURTLE)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,line], [point,circle], [glider]");s=e.create("line",[function(){var e=Math.floor(r.position),t=r.position-e,n,s;for(s=0;s<i.objects.length;s++){n=i.objects[s];if(n.type==JXG.OBJECT_TYPE_CURVE){if(e<n.numberPoints)break;e-=n.numberPoints}}return e==n.numberPoints-1&&(e--,t=1),e<0?1:(n.Y(e)+t*(n.Y(e+1)-n.Y(e)))*(n.Y(e)-n.Y(e+1))-(n.X(e)+t*(n.X(e+1)-n.X(e)))*(n.X(e+1)-n.X(e))},function(){var e=Math.floor(r.position),t,n;for(n=0;n<i.objects.length;n++){t=i.objects[n];if(t.type==JXG.OBJECT_TYPE_CURVE){if(e<t.numberPoints)break;e-=t.numberPoints}}return e==t.numberPoints-1&&e--,e<0?0:t.X(e+1)-t.X(e)},function(){var e=Math.floor(r.position),t,n;for(n=0;n<i.objects.length;n++){t=i.objects[n];if(t.type==JXG.OBJECT_TYPE_CURVE){if(e<t.numberPoints)break;e-=t.numberPoints}}return e==t.numberPoints-1&&e--,e<0?0:t.Y(e+1)-t.Y(e)}],u)}s.parents=[];for(o=0;o<t.length;o++)s.parents.push(t[o].id);return s.elType="normal",s},JXG.createBisector=function(e,t,n){var r,i,s,o;if(t[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[1].elementClass==JXG.OBJECT_CLASS_POINT&&t[2].elementClass==JXG.OBJECT_CLASS_POINT){o=JXG.copyAttributes(n,e.options,"bisector","point"),r=e.create("point",[function(){return JXG.Math.Geometry.angleBisector(t[0],t[1],t[2],e)}],o),r.dump=!1;for(s=0;s<3;s++)t[s].addChild(r);return JXG.exists(n.layer)||(n.layer=e.options.layer.line),o=JXG.copyAttributes(n,e.options,"bisector"),i=JXG.createLine(e,[t[1],r],o),i.point=r,i.elType="bisector",i.parents=[t[0].id,t[1].id,t[2].id],i.subs={point:r},i}throw new Error("JSXGraph: Can't create angle bisector with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point,point]")},JXG.createAngularBisectorsOfTwoLines=function(e,t,n){var r=JXG.getReference(e,t[0]),i=JXG.getReference(e,t[1]),s,o,u,a;if(r.elementClass!=JXG.OBJECT_CLASS_LINE||i.elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create angle bisectors of two lines with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [line,line]");return JXG.exists(n.layer)||(n.layer=e.options.layer.line),u=JXG.copyAttributes(n,e.options,"bisectorlines","line1"),s=e.create("line",[function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[0]/e-i.stdform[0]/t},function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[1]/e-i.stdform[1]/t},function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[2]/e-i.stdform[2]/t}],u),JXG.exists(n.layer)||(n.layer=e.options.layer.line),u=JXG.copyAttributes(n,e.options,"bisectorlines","line2"),o=e.create("line",[function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[0]/e+i.stdform[0]/t},function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[1]/e+i.stdform[1]/t},function(){var e=Math.sqrt(r.stdform[1]*r.stdform[1]+r.stdform[2]*r.stdform[2]),t=Math.sqrt(i.stdform[1]*i.stdform[1]+i.stdform[2]*i.stdform[2]);return r.stdform[2]/e+i.stdform[2]/t}],u),a=new JXG.Composition({line1:s,line2:o}),s.dump=!1,o.dump=!1,a.elType="bisectorlines",a.parents=[r.id,i.id],a.subs={line1:s,line2:o},a},JXG.createCircumcircleMidpoint=function(e,t,n){var r,i;if(t[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[1].elementClass==JXG.OBJECT_CLASS_POINT&&t[2].elementClass==JXG.OBJECT_CLASS_POINT){r=JXG.createPoint(e,[function(){return JXG.Math.Geometry.circumcenterMidpoint(t[0],t[1],t[2],e)}],n);for(i=0;i<3;i++)t[i].addChild(r);return r.elType="circumcenter",r.parents=[t[0].id,t[1].id,t[2].id],r.generatePolynomial=function(){var e=a.symbolic.x,t=a.symbolic.y,n=b.symbolic.x,i=b.symbolic.y,s=c.symbolic.x,o=c.symbolic.y,u=r.symbolic.x,f=r.symbolic.y,l=["((",u,")-(",e,"))^2+((",f,")-(",t,"))^2-((",u,")-(",n,"))^2-((",f,")-(",i,"))^2"].join(""),h=["((",u,")-(",e,"))^2+((",f,")-(",t,"))^2-((",u,")-(",s,"))^2-((",f,")-(",o,"))^2"].join("");return[l,h]},r}throw new Error("JSXGraph: Can't create circumcircle midpoint with parent types '"+typeof t[0]+"', '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]")},JXG.createIncenter=function(e,t,n){var r,i,s,o,u;if(!(t.length>=3&&JXG.isPoint(t[0])&&JXG.isPoint(t[1])&&JXG.isPoint(t[2])))throw new Error("JSXGraph: Can't create incenter with parent types '"+typeof t[0]+"', '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]");return s=t[0],o=t[1],u=t[2],r=e.create("point",[function(){var t,n,r;return t=Math.sqrt((o.X()-u.X())*(o.X()-u.X())+(o.Y()-u.Y())*(o.Y()-u.Y())),n=Math.sqrt((s.X()-u.X())*(s.X()-u.X())+(s.Y()-u.Y())*(s.Y()-u.Y())),r=Math.sqrt((o.X()-s.X())*(o.X()-s.X())+(o.Y()-s.Y())*(o.Y()-s.Y())),new JXG.Coords(JXG.COORDS_BY_USER,[(t*s.X()+n*o.X()+r*u.X())/(t+n+r),(t*s.Y()+n*o.Y()+r*u.Y())/(t+n+r)],e)}],n),r.elType="incenter",r.parents=[t[0].id,t[1].id,t[2].id],r},JXG.createCircumcircle=function(e,t,n){var r,i,s;try{s=JXG.copyAttributes(n,e.options,"circumcircle","center"),r=JXG.createCircumcircleMidpoint(e,t,s),r.dump=!1,JXG.exists(n.layer)||(n.layer=e.options.layer.circle),s=JXG.copyAttributes(n,e.options,"circumcircle"),i=JXG.createCircle(e,[r,t[0]],s),i.elType="circumcircle",i.parents=[t[0].id,t[1].id,t[2].id],i.subs={center:r}}catch(o){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof t[0]+"', '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]")}return i},JXG.createIncircle=function(e,t,n){var r,i,s,o;try{s=JXG.copyAttributes(n,e.options,"incircle","center"),r=JXG.createIncenter(e,t,s),r.dump=!1,JXG.exists(n.layer)||(n.layer=e.options.layer.circle),s=JXG.copyAttributes(n,e.options,"incircle"),i=JXG.createCircle(e,[r,function(){var e=Math.sqrt((t[1].X()-t[2].X())*(t[1].X()-t[2].X())+(t[1].Y()-t[2].Y())*(t[1].Y()-t[2].Y())),n=Math.sqrt((t[0].X()-t[2].X())*(t[0].X()-t[2].X())+(t[0].Y()-t[2].Y())*(t[0].Y()-t[2].Y())),r=Math.sqrt((t[1].X()-t[0].X())*(t[1].X()-t[0].X())+(t[1].Y()-t[0].Y())*(t[1].Y()-t[0].Y())),i=(e+n+r)/2;return Math.sqrt((i-e)*(i-n)*(i-r)/i)}],s),i.elType="incircle",i.parents=[t[0].id,t[1].id,t[2].id],i.center=r,i.subs={center:r}}catch(u){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof t[0]+"', '"+typeof t[1]+"' and '"+typeof t[2]+"'."+"\nPossible parent types: [point,point,point]")}return i},JXG.createReflection=function(e,t,n){var r,i,s,o;if(t[0].elementClass==JXG.OBJECT_CLASS_POINT&&t[1].elementClass==JXG.OBJECT_CLASS_LINE)i=t[0],r=t[1];else{if(t[1].elementClass!=JXG.OBJECT_CLASS_POINT||t[0].elementClass!=JXG.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create reflection point with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [line,point]");i=t[1],r=t[0]}return o=JXG.createTransform(e,[r],{type:"reflect"}),s=JXG.createPoint(e,[i,o],n),i.addChild(s),r.addChild(s),s.elType="reflection",s.parents=[t[0].id,t[1].id],s.prepareUpdate().update(),s.generatePolynomial=function(){var e=r.point1.symbolic.x,t=r.point1.symbolic.y,n=r.point2.symbolic.x,o=r.point2.symbolic.y,u=i.symbolic.x,a=i.symbolic.y,f=s.symbolic.x,c=s.symbolic.y,h=["((",c,")-(",a,"))*((",t,")-(",o,"))+((",e,")-(",n,"))*((",f,")-(",u,"))"].join(""),d=["((",f,")-(",e,"))^2+((",c,")-(",t,"))^2-((",u,")-(",e,"))^2-((",a,")-(",t,"))^2"].join("");return[h,d]},s},JXG.createMirrorPoint=function(e,t,n){var r,i;if(!JXG.isPoint(t[0])||!JXG.isPoint(t[1]))throw new Error("JSXGraph: Can't create mirror point with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [point,point]");r=JXG.createPoint(e,[function(){return JXG.Math.Geometry.rotation(t[0],t[1],Math.PI,e)}],n);for(i=0;i<2;i++)t[i].addChild(r);return r.elType="mirrorpoint",r.parents=[t[0].id,t[1].id],r.prepareUpdate().update(),r},JXG.createIntegral=function(e,t,n){var r,i,s,o=0,u=0,a,f,l,c,h=1,p,d,v,m,g,y,b;if(JXG.isArray(t[0])&&t[1].elementClass==JXG.OBJECT_CLASS_CURVE)r=t[0],i=t[1];else{if(!JXG.isArray(t[1])||t[0].elementClass!=JXG.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create integral with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'."+"\nPossible parent types: [[number|function,number|function],curve]");r=t[1],i=t[0]}return o=r[0],u=r[1],JXG.isFunction(o)?(a=o,f=function(){return i.Y(a())},o=a()):(a=o,f=i.Y(o)),JXG.isFunction(o)?(l=u,c=function(){return i.Y(l())},u=l()):(l=u,c=i.Y(u)),u<o&&(h=-1),s=JXG.copyAttributes(n,e.options,"integral","curveLeft"),p=e.create("glider",[a,f,i],s),JXG.isFunction(a)&&p.hideElement(),s=JXG.copyAttributes(n,e.options,"integral","baseLeft"),d=e.create("point",[function(){return p.X()},0],s),s=JXG.copyAttributes(n,e.options,"integral","curveRight"),v=e.create("glider",[l,c,i],s),JXG.isFunction(l)&&v.hideElement(),s=JXG.copyAttributes(n,e.options,"integral","baseRight"),m=e.create("point",[function(){return v.X()},0],s),s=JXG.copyAttributes(n,e.options,"integral"),s.withLabel!==!1&&(s=JXG.copyAttributes(n,e.options,"integral","label"),y=e.create("text",[function(){return v.X()+.2},function(){return v.Y()-.8},function(){var e=JXG.Math.Numerics.I([d.X(),m.X()],i.Y);return"&int; = "+e.toFixed(4)}],s),y.dump=!1,p.addChild(y),v.addChild(y)),s=JXG.copyAttributes(n,e.options,"integral"),b=e.create("curve",[[0],[0]],s),p.dump=!1,d.dump=!1,v.dump=!1,m.dump=!1,b.elType="integral",b.parents=[i.id,r],b.subs={curveLeft:p,baseLeft:d,curveRight:v,baseRight:m},s.withLabel&&(b.subs.label=y),b.updateDataArray=function(){var e,t,n,r,s;d.X()<m.X()?(r=d.X(),s=m.X()):(r=m.X(),s=d.X()),e=[r,r],t=[0,i.Y(r)];for(n=0;n<i.numberPoints;n++)r<=i.points[n].usrCoords[1]&&i.points[n].usrCoords[1]<=s&&(e.push(i.points[n].usrCoords[1]),t.push(i.points[n].usrCoords[2]));e.push(s),t.push(i.Y(s)),e.push(s),t.push(0),e.push(r),t.push(0),this.dataX=e,this.dataY=t},p.addChild(b),v.addChild(b),b.baseLeft=d,b.baseRight=m,b.curveLeft=p,b.curveRight=v,b.label={content:y},b},JXG.createLocus=function(e,t,n){var r,i;if(!JXG.isArray(t)||t.length!=1||t[0].elementClass!=JXG.OBJECT_CLASS_POINT)throw new Error("JSXGraph: Can't create locus with parent of type other than point.\nPossible parent types: [point]");return i=t[0],r=e.create("curve",[[null],[null]],n),r.dontCallServer=!1,r.elType="locus",r.parents=[i.id],r.updateDataArray=function(){if(r.board.mode>0)return;var t=JXG.Math.Symbolic.generatePolynomials(e,i,!0).join("|");if(t===r.spe)return;r.spe=t;var n=function(e,t,n,i){r.dataX=e,r.dataY=t,r.eq=n,r.ctime=i,r.generatePolynomial=function(e){return function(t){var n="("+t.symbolic.x+")",r="("+t.symbolic.y+")",i=[],s;for(s=0;s<e.length;s++)i[s]=e[s].replace(/\*\*/g,"^").replace(/x/g,n).replace(/y/g,r);return i}}(n)},s=JXG.Math.Symbolic.geometricLocusByGroebnerBase(e,i,n);n(s.datax,s.datay,s.polynomial,s.exectime)},r},JXG.createGrid=function(e,t,n){var r,i;return i=JXG.copyAttributes(n,e.options,"grid"),r=e.create("curve",[[null],[null]],i),r.elType="grid",r.parents=[],r.type=JXG.OBJECT_TYPE_GRID,r.updateDataArray=function(){var t=this.visProp.gridx,n=this.visProp.gridy,i=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],e),s=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e.canvasWidth,e.canvasHeight],e),o;e.options.grid.hasGrid=!0,i.setCoordinates(JXG.COORDS_BY_USER,[Math.floor(i.usrCoords[1]/t)*t,Math.ceil(i.usrCoords[2]/n)*n]),s.setCoordinates(JXG.COORDS_BY_USER,[Math.ceil(s.usrCoords[1]/t)*t,Math.floor(s.usrCoords[2]/n)*n]),r.dataX=[],r.dataY=[];for(o=i.usrCoords[2];o>s.usrCoords[2]-n;o-=n)r.dataX.push(i.usrCoords[1],s.usrCoords[1],NaN),r.dataY.push(o,o,NaN);for(o=i.usrCoords[1];o<s.usrCoords[1]+t;o+=t)r.dataX.push(o,o,NaN),r.dataY.push(i.usrCoords[2],s.usrCoords[2],NaN)},r.hasPoint=function(){return!1},e.grids.push(r),r},JXG.createInequality=function(e,t,n){var r,i,s;s=JXG.copyAttributes(n,e.options,"inequality");if(t[0].elementClass===JXG.OBJECT_CLASS_LINE)i=e.create("curve",[[],[]],s),i.hasPoint=function(){return!1},i.updateDataArray=function(){var n=e.getBoundingBox(),r=s.inverse?-1:1,i=1.5,o=i*Math.max(n[2]-n[0],n[1]-n[3]),u,a={coords:{usrCoords:[1,(n[0]+n[2])/2,s.inverse?n[1]:n[3]]}},f=t[0].stdform.slice(1),l=f,c,h;f[1]>0&&(f=JXG.Math.Statistics.multiply(f,-1),l=f),u=i*Math.max(JXG.Math.Geometry.perpendicular(t[0],a,e)[0].distance(JXG.COORDS_BY_USER,a.coords),o),u*=r,a={coords:{usrCoords:[1,(n[0]+n[2])/2,(n[1]+n[3])/2]}},a=JXG.Math.Geometry.perpendicular(t[0],a,e)[0].usrCoords,c=[1,a[1]+f[1]*o,a[2]-f[0]*o],h=[1,a[1]-l[1]*o,a[2]+l[0]*o],this.dataX=[c[1],c[1]+f[0]*u,h[1]+l[0]*u,h[1],c[1]],this.dataY=[c[2],c[2]+f[1]*u,h[2]+l[1]*u,h[2],c[2]]};else{r=JXG.createFunction(t[0]);if(!JXG.exists(r))throw new Error("JSXGraph: Can't create area with the given parents.\nPossible parent types: [line], [function]")}return i},JXG.JSXGraph.registerElement("arrowparallel",JXG.createArrowParallel),JXG.JSXGraph.registerElement("bisector",JXG.createBisector),JXG.JSXGraph.registerElement("bisectorlines",JXG.createAngularBisectorsOfTwoLines),JXG.JSXGraph.registerElement("circumcircle",JXG.createCircumcircle),JXG.JSXGraph.registerElement("circumcirclemidpoint",JXG.createCircumcircleMidpoint),JXG.JSXGraph.registerElement("circumcenter",JXG.createCircumcircleMidpoint),JXG.JSXGraph.registerElement("incenter",JXG.createIncenter),JXG.JSXGraph.registerElement("incircle",JXG.createIncircle),JXG.JSXGraph.registerElement("integral",JXG.createIntegral),JXG.JSXGraph.registerElement("midpoint",JXG.createMidpoint),JXG.JSXGraph.registerElement("mirrorpoint",JXG.createMirrorPoint),JXG.JSXGraph.registerElement("normal",JXG.createNormal),JXG.JSXGraph.registerElement("orthogonalprojection",JXG.createOrthogonalProjection),JXG.JSXGraph.registerElement("parallel",JXG.createParallel),JXG.JSXGraph.registerElement("parallelpoint",JXG.createParallelPoint),JXG.JSXGraph.registerElement("perpendicular",JXG.createPerpendicular),JXG.JSXGraph.registerElement("perpendicularpoint",JXG.createPerpendicularPoint),JXG.JSXGraph.registerElement("perpendicularsegment",JXG.createPerpendicularSegment),JXG.JSXGraph.registerElement("reflection",JXG.createReflection),JXG.JSXGraph.registerElement("locus",JXG.createLocus),JXG.JSXGraph.registerElement("grid",JXG.createGrid),JXG.JSXGraph.registerElement("inequality",JXG.createInequality),JXG.Text=function(e,t,n,r){this.constructor(e,r,JXG.OBJECT_TYPE_TEXT,JXG.OBJECT_CLASS_OTHER);var i;this.content="",this.plaintext="",this.isDraggable=!1,this.needsSizeUpdate=!1;if(this.element=JXG.getRef(this.board,r.anchor)){var s;this.visProp.islabel?this.relativeCoords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[parseFloat(n[0]),parseFloat(n[1])],this.board):this.relativeCoords=new JXG.Coords(JXG.COORDS_BY_USER,[parseFloat(n[0]),parseFloat(n[1])],this.board),this.element.addChild(this),this.X=function(){var e,t,n;return this.visProp.islabel?(e=parseFloat(this.visProp.offset[0]),n=this.element.getLabelAnchor(),t=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e+this.relativeCoords.scrCoords[1]+n.scrCoords[1],0],this.board),t.usrCoords[1]):(n=this.element.getTextAnchor(),this.relativeCoords.usrCoords[1]+n.usrCoords[1])},this.Y=function(){var e,t,n;return this.visProp.islabel?(e=-parseFloat(this.visProp.offset[1]),n=this.element.getLabelAnchor(),t=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,e+this.relativeCoords.scrCoords[2]+n.scrCoords[2]],this.board),t.usrCoords[2]):(n=this.element.getTextAnchor(),this.relativeCoords.usrCoords[2]+n.usrCoords[2])},this.coords=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],this.board),this.isDraggable=!0}else JXG.isNumber(n[0])&&JXG.isNumber(n[1])&&(this.isDraggable=!0),this.X=JXG.createFunction(n[0],this.board,null,!0),this.Y=JXG.createFunction(n[1],this.board,null,!0),this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.X(),this.Y()],this.board);return this.Z=JXG.createFunction(1,this.board,""),this.size=[1,1],this.id=this.board.setId(this,"T"),this.board.renderer.drawText(this),this.setText(t),this.updateSize(),this.visProp.visible||this.board.renderer.hide(this),typeof this.content=="string"&&this.notifyParents(this.content),this.elType="text",this.methodMap=JXG.deepCopy(this.methodMap,{setText:"setTextJessieCode",free:"free",move:"setCoords"}),this},JXG.Text.prototype=new JXG.GeometryElement,JXG.extend(JXG.Text.prototype,{hasPoint:function(e,t){var n,r,i,s,o=this.board.options.precision.hasPoint;return this.visProp.anchorx==="right"?n=this.coords.scrCoords[1]-this.size[0]:this.visProp.anchorx==="middle"?n=this.coords.scrCoords[1]-.5*this.size[0]:n=this.coords.scrCoords[1],r=n+this.size[0],this.visProp.anchory==="top"?s=this.coords.scrCoords[2]+this.size[1]:this.visProp.anchorx==="middle"?s=this.coords.scrCoords[2]+.5*this.size[1]:s=this.coords.scrCoords[2],i=s-this.size[1],t>=i-o&&t<=s+o&&(e>=n-o&&e<=n+2*o||e>=r-2*o&&e<=r+o)},_setText:function(e){return this.needsSizeUpdate=!1,typeof e=="function"?(this.updateText=function(){this.plaintext=e()},this.needsSizeUpdate=!0):(JXG.isNumber(e)?this.content=e.toFixed(this.visProp.digits):this.visProp.useasciimathml?(this.content="'`"+e+"`'",this.needsSizeUpdate=!0):this.content=this.generateTerm(e),this.updateText=new Function("this.plaintext = "+this.content+"; ")),this.updateText(),this.prepareUpdate().update().updateRenderer(),this},setTextJessieCode:function(e){var t;return this.visProp.castext=e,typeof e=="function"?t=function(){return e().replace(/</g,"&lt;").replace(/>/g,"&gt;")}:JXG.isNumber(e)?t=e:t=e.replace(/</g,"&lt;").replace(/>/g,"&gt;"),this._setText(t)},setText:function(e){this._setText(e)},updateSize:function(){var e;if(typeof document=="undefined")return this;if(this.visProp.display=="html"&&this.board.renderer.type!=="vml"&&this.board.renderer.type!=="no")this.size=[this.rendNode.offsetWidth,this.rendNode.offsetHeight];else if(this.visProp.display==="internal"&&this.board.renderer.type==="svg")try{e=this.rendNode.getBBox(),this.size=[e.width,e.height]}catch(t){}else if(this.board.renderer.type==="vml"||this.visProp.display==="internal"&&this.board.renderer.type==="canvas")this.size=[parseFloat(this.visProp.fontsize)*this.plaintext.length*.45,parseFloat(this.visProp.fontsize)*.9];return this},getSize:function(){return this.size},setCoords:function(e,t){return JXG.isArray(e)&&e.length>1&&(t=e[1],e=e[0]),this.X=function(){return e},this.Y=function(){return t},this.coords.setCoordinates(JXG.COORDS_BY_USER,[e,t]),this.prepareUpdate().update().updateRenderer(),this},free:function(){this.X=JXG.createFunction(this.X(),this.board,""),this.Y=JXG.createFunction(this.Y(),this.board,""),this.isDraggable=!0},update:function(){var e,t,n;return this.needsUpdate&&(this.updateCoords(),this.updateText(),this.needsSizeUpdate&&this.updateSize(),this.updateTransform()),this},updateCoords:function(){this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.X(),this.Y()])},updateRenderer:function(){return this.needsUpdate&&(this.board.renderer.updateText(this),this.needsUpdate=!1),this},updateTransform:function(){var e;if(this.transformations.length==0)return;for(e=0;e<this.transformations.length;e++)this.transformations[e].update();return this},generateTerm:function(e){var t,n='""',r;e=e||"",e=e.replace(/\r/g,""),e=e.replace(/\n/g,""),e=e.replace(/\"/g,'\\"'),e=e.replace(/\'/g,"\\'"),e=e.replace(/&amp;arc;/g,"&ang;"),e=e.replace(/<arc\s*\/>/g,"&ang;"),e=e.replace(/<sqrt\s*\/>/g,"&radic;");var i;i=e.indexOf("<value>");var s=e.indexOf("</value>");if(i>=0){this.needsSizeUpdate=!0;while(i>=0)n+=' + "'+JXG.GeonextParser.replaceSub(JXG.GeonextParser.replaceSup(e.slice(0,i)))+'"',r=e.slice(i+7,s),t=JXG.GeonextParser.geonext2JS(r,this.board),t=t.replace(/\\"/g,'"'),t=t.replace(/\\'/g,"'"),t.indexOf("toFixed")<0?JXG.isNumber(JXG.bind(new Function("return "+t+";"),this)())?n+="+("+t+").toFixed("+this.visProp.digits+")":n+="+("+t+")":n+="+("+t+")",e=e.slice(s+8),i=e.indexOf("<value>"),s=e.indexOf("</value>")}return n+=' + "'+JXG.GeonextParser.replaceSub(JXG.GeonextParser.replaceSup(e))+'"',n=n.replace(/<overline>/g,"<span style=text-decoration:overline>"),n=n.replace(/<\/overline>/g,"</span>"),n=n.replace(/<arrow>/g,"<span style=text-decoration:overline>"),n=n.replace(/<\/arrow>/g,"</span>"),n=n.replace(/&amp;/g,"&"),n},notifyParents:function(e){var t=null;do{var n=/<value>([\w\s\*\/\^\-\+\(\)\[\],<>=!]+)<\/value>/;t=n.exec(e),t!=null&&(JXG.GeonextParser.findDependencies(this,t[1],this.board),e=e.substr(t.index),e=e.replace(n,""))}while(t!=null);return this},bounds:function(){var e=this.coords.usrCoords;return this.visProp.islabel?[0,0,0,0]:[e[1],e[2]+this.size[1],e[1]+this.size[0],e[2]]},setPositionDirectly:function(e,t,n){var r=new JXG.Coords(e,t,this.board),i=new JXG.Coords(e,n,this.board),s,o;return this.relativeCoords?this.visProp.islabel?(s=JXG.Math.Statistics.subtract(r.scrCoords,i.scrCoords),this.relativeCoords.scrCoords[1]+=s[1],this.relativeCoords.scrCoords[2]+=s[2]):(s=JXG.Math.Statistics.subtract(r.usrCoords,i.usrCoords),this.relativeCoords.usrCoords[1]+=s[1],this.relativeCoords.usrCoords[2]+=s[2]):(s=JXG.Math.Statistics.subtract(r.usrCoords,i.usrCoords),o=[this.Z(),this.X(),this.Y()],this.X=JXG.createFunction(o[1]+s[1],this.board,""),this.Y=JXG.createFunction(o[2]+s[2],this.board,"")),this}}),JXG.createText=function(e,t,n){var r,i=JXG.copyAttributes(n,e.options,"text");return i.anchor=i.parent||i.anchor,r=new JXG.Text(e,t[t.length-1],t,i),typeof t[t.length-1]!="function"&&(r.parents=t),JXG.evaluate(i.rotate)!=0&&i.display=="internal"&&r.addRotation(JXG.evaluate(i.rotate)),r},JXG.JSXGraph.registerElement("text",JXG.createText),JXG.Image=function(e,t,n,r,i){this.constructor(e,i,JXG.OBJECT_TYPE_IMAGE,JXG.OBJECT_CLASS_OTHER),this.initialCoords=new JXG.Coords(JXG.COORDS_BY_USER,n,this.board),!JXG.isFunction(n[0])&&!JXG.isFunction(n[1])&&(this.isDraggable=!0),this.X=JXG.createFunction(n[0],this.board,""),this.Y=JXG.createFunction(n[1],this.board,""),this.Z=JXG.createFunction(1,this.board,""),this.W=JXG.createFunction(r[0],this.board,""),this.H=JXG.createFunction(r[1],this.board,""),this.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.X(),this.Y()],this.board),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*e.unitX),Math.abs(this.usrSize[1]*e.unitY)],this.url=t,this.elType="image",this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]],this.parent=JXG.getRef(i.anchor),this.id=this.board.setId(this,"Im"),this.board.renderer.drawImage(this),this.visProp.visible||this.board.renderer.hide(this)},JXG.Image.prototype=new JXG.GeometryElement,JXG.extend(JXG.Image.prototype,{hasPoint:function(e,t){var n=this.transformations.length,r,i,s,o,u,a,f;if(n==0)return r=e-this.coords.scrCoords[1],i=this.coords.scrCoords[2]-t,s=this.board.options.precision.hasPoint,r>=-s&&r-this.size[0]<=s&&i>=-s&&i-this.size[1]<=s?!0:!1;o=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e,t],this.board),o=o.usrCoords,u=[o[0]-this.span[0][0],o[1]-this.span[0][1],o[2]-this.span[0][2]],f=JXG.Math.innerProduct,a=f(u,this.span[1]);if(0<=a&&a<=f(this.span[1],this.span[1])){a=f(u,this.span[2]);if(0<=a&&a<=f(this.span[2],this.span[2]))return!0}return!1},update:function(){return this.needsUpdate&&(this.updateCoords(),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*this.board.unitX),Math.abs(this.usrSize[1]*this.board.unitY)],this.updateTransform(),this.updateSpan()),this},updateRenderer:function(){return this.needsUpdate&&(this.board.renderer.updateImage(this),this.needsUpdate=!1),this},updateTransform:function(){var e,t=this.transformations.length;if(t>0)for(e=0;e<t;e++)this.transformations[e].update();return this},updateCoords:function(){this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.X(),this.Y()])},updateSize:function(){this.coords.setCoordinates(JXG.COORDS_BY_USER,[this.W(),this.H()])},updateSpan:function(){var e,t,n=this.transformations.length,r=[];if(n==0)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{r[0]=[this.Z(),this.X(),this.Y()],r[1]=[this.Z(),this.X()+this.W(),this.Y()],r[2]=[this.Z(),this.X(),this.Y()+this.H()];for(e=0;e<n;e++)for(t=0;t<3;t++)r[t]=JXG.Math.matVecMult(this.transformations[e].matrix,r[t]);for(t=0;t<3;t++)r[t][1]/=r[t][0],r[t][2]/=r[t][0],r[t][0]/=r[t][0];for(t=1;t<3;t++)r[t][0]-=r[0][0],r[t][1]-=r[0][1],r[t][2]-=r[0][2];this.span=r}return this},addTransform:function(e){if(JXG.isArray(e))for(var t=0;t<e.length;t++)this.transformations.push(e[t]);else this.transformations.push(e)},setPositionDirectly:function(e,t,n){var r=new JXG.Coords(e,t,this.board),i=new JXG.Coords(e,n,this.board),s,o=[this.Z(),this.X(),this.Y()];return s=JXG.Math.Statistics.subtract(r.usrCoords,i.usrCoords),this.X=JXG.createFunction(o[1]+s[1],this.board,""),this.Y=JXG.createFunction(o[2]+s[2],this.board,""),this}}),JXG.createImage=function(e,t,n){var r,i,s;return i=JXG.copyAttributes(n,e.options,"image"),s=new JXG.Image(e,t[0],t[1],t[2],i),JXG.evaluate(i.rotate)!=0&&s.addRotation(JXG.evaluate(i.rotate)),s},JXG.JSXGraph.registerElement("image",JXG.createImage),JXG.createSlider=function(e,t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T;return r=t[0],i=t[1],s=t[2][0],o=t[2][1],u=t[2][2],a=u-s,x=JXG.copyAttributes(n,e.options,"slider"),E=x.withticks,w=x.withlabel,S=x.snapwidth,T=x.precision,x=JXG.copyAttributes(n,e.options,"slider","point1"),f=e.create("point",r,x),x=JXG.copyAttributes(n,e.options,"slider","point2"),l=e.create("point",i,x),e.create("group",[f,l]),x=JXG.copyAttributes(n,e.options,"slider","baseline"),c=e.create("segment",[f,l],x),c.updateStdform(),E&&(x=JXG.copyAttributes(n,e.options,"slider","ticks"),h=2,p=e.create("ticks",[c,l.Dist(f)/h],x)),d=r[0]+(i[0]-r[0])*(o-s)/(u-s),v=r[1]+(i[1]-r[1])*(o-s)/(u-s),x=JXG.copyAttributes(n,e.options,"slider"),x.withLabel=!1,m=e.create("glider",[d,v,c],x),m.setProperty({snapwidth:S}),x=JXG.copyAttributes(n,e.options,"slider","highline"),g=e.create("segment",[f,m],x),m.Value=function(){return m.visProp.snapwidth===-1?this.position*a+s:Math.round((this.position*a+s)/this.visProp.snapwidth)*this.visProp.snapwidth},m.methodMap=JXG.deepCopy(m.methodMap,{Value:"Value"}),m._smax=u,m._smin=s,w&&(n.name&&n["name"]!=""?y=n.name+" = ":y="",x=JXG.copyAttributes(n,e.options,"slider","label"),b=e.create("text",[function(){return(l.X()-f.X())*.05+l.X()},function(){return(l.Y()-f.Y())*.05+l.Y()},function(){return y+m.Value().toFixed(T)}],x),m.label.content=b),m.point1=f,m.point2=l,m.baseline=c,m.highline=g,E&&(m.ticks=p),m.remove=function(){w&&e.removeObject(b),e.removeObject(g),E&&c.removeTicks(p),e.removeObject(c),e.removeObject(l),e.removeObject(f),JXG.Point.prototype.remove.call(m)},f.dump=!1,l.dump=!1,c.dump=!1,g.dump=!1,m.elType="slider",m.parents=t,m.subs={point1:f,point2:l,baseLine:c,highLine:g},E&&(p.dump=!1,m.subs.ticks=p),m},JXG.JSXGraph.registerElement("slider",JXG.createSlider),JXG.Chart=function(e,t,n){this.constructor(e,n);var r,i,s,o,u,a;if(!JXG.isArray(t)||t.length===0)throw new Error("JSXGraph: Can't create a chart without data");this.elements=[];if(JXG.isNumber(t[0])){i=t,r=[];for(s=0;s<i.length;s++)r[s]=s+1}else if(t.length===1&&JXG.isArray(t[0])){i=t[0],r=[],a=JXG.evaluate(i).length;for(s=0;s<a;s++)r[s]=s+1}else t.length===2&&(a=Math.min(t[0].length,t[1].length),r=t[0].slice(0,a),i=t[1].slice(0,a));if(JXG.isArray(i)&&i.length===0)throw new Error("JSXGraph: Can't create charts without data.");u=n.chartstyle.replace(/ /g,"").split(",");for(s=0;s<u.length;s++){switch(u[s]){case"bar":o=this.drawBar(e,r,i,n);break;case"line":o=this.drawLine(e,r,i,n);break;case"fit":o=this.drawFit(e,r,i,n);break;case"spline":o=this.drawSpline(e,r,i,n);break;case"pie":o=this.drawPie(e,i,n);break;case"point":o=this.drawPoints(e,r,i,n);break;case"radar":o=this.drawRadar(e,t,n)}this.elements.push(o)}return this.id=this.board.setId(this,"Chart"),this.elements},JXG.Chart.prototype=new JXG.GeometryElement,JXG.extend(JXG.Chart.prototype,{drawLine:function(e,t,n,r){return r.fillcolor="none",r.highlightfillcolor="none",e.create("curve",[t,n],r)},drawSpline:function(e,t,n,r){return r.fillColor="none",r.highlightfillcolor="none",e.create("spline",[t,n],r)},drawFit:function(e,t,n,r){var i=r.degree;return i=!JXG.exists(i)||parseInt(i)==NaN||parseInt(i)<1?1:parseInt(i),r.fillcolor="none",r.highlightfillcolor="none",e.create("functiongraph",[JXG.Math.Numerics.regressionPolynomial(i,t,n)],r)},drawBar:function(e,t,n,r){var i,s=[],o,u,a,f,l,c,h,p,d,v,m=[],g={fixed:!0,withLabel:!1,visible:!1,name:""};JXG.exists(r.fillopacity)||(r.fillopacity=.6);if(r&&r.width)l=r.width;else{if(t.length<=1)l=1;else{l=t[1]-t[0];for(i=1;i<t.length-1;i++)l=t[i+1]-t[i]<l?t[i+1]-t[i]:l}l*=.8}u=r.fillcolor,a=parseFloat(e.options.text.fontSize);for(i=0;i<t.length;i++)isNaN(JXG.evaluate(t[i]))||isNaN(n[i]),JXG.isFunction(t[i])?(c=function(){return t[i]()-l*.5},h=function(){return t[i]()},p=function(){return t[i]()+l*.5}):(c=t[i]-l*.5,h=t[i],p=t[i]+l*.5),d=n[i],r.dir=="horizontal"?(m[0]=e.create("point",[0,c],g),m[1]=e.create("point",[d,c],g),m[2]=e.create("point",[d,p],g),m[3]=e.create("point",[0,p],g),JXG.exists(r.labels)&&JXG.exists(r.labels[i])&&(o=r.labels[i].toString().length,o=2*o*a/e.unitX,d>=0?d+=a*.5/e.unitX:d-=a*o/e.unitX,h-=a*.2/e.unitY,f=e.create("text",[d,h,r.labels[i]],r))):(m[0]=e.create("point",[c,0],g),m[1]=e.create("point",[c,d],g),m[2]=e.create("point",[p,d],g),m[3]=e.create("point",[p,0],g),JXG.exists(r.labels)&&JXG.exists(r.labels[i])&&(o=r.labels[i].toString().length,o=.6*o*a/e.unitX,d>=0?d+=a*.5/e.unitY:d-=a*1/e.unitY,f=e.create("text",[h-o*.5,d,r.labels[i]],r))),r.withlines=!1,JXG.exists(r.colors)&&JXG.isArray(r.colors)&&(v=r.colors,r.fillcolor=v[i%v.length]),s[i]=e.create("polygon",m,r),JXG.exists(r.labels)&&JXG.exists(r.labels[i])&&(s[i].text=f);return s},drawPoints:function(e,t,n,r){var i,s=[],o=r.infoboxarray;r.fixed=!0,r.name="";for(i=0;i<t.length;i++)r.infoboxtext=o?o[i%o.length]:!1,s[i]=e.create("point",[t[i],n[i]],r);return s},drawPie:function(e,t,n){var r,i=[],s=[],o=JXG.Math.Statistics.sum(t),u=n.colors,a=n.highlightcolors,f=n.labels,l=n.radius||4,c=l,h=n.center||[0,0],p=h[0],d=h[1],v,m={fixed:!0,withLabel:!1,visible:!1,name:""};if(!JXG.isArray(f)){f=[];for(r=0;r<t.length;r++)f[r]=""}JXG.isFunction(l)||(c=function(){return l}),n.highlightonsector=n.highlightonsector||!1,n.straightfirst=!1,n.straightlast=!1,v=e.create("point",[p,d],m),i[0]=e.create("point",[function(){return c()+p},function(){return d}],m);for(r=0;r<t.length;r++)i[r+1]=e.create("point",[function(e){return function(){var n,r=0,i,s;for(i=0;i<=e;i++)r+=parseFloat(JXG.evaluate(t[i]));n=r;for(i=e+1;i<t.length;i++)n+=parseFloat(JXG.evaluate(t[i]));return s=n!=0?2*Math.PI*r/n:0,c()*Math.cos(s)+p}}(r),function(e){return function(){var n,r=0,i,s;for(i=0;i<=e;i++)r+=parseFloat(JXG.evaluate(t[i]));n=r;for(i=e+1;i<t.length;i++)n+=parseFloat(JXG.evaluate(t[i]));return s=n!=0?2*Math.PI*r/n:0,c()*Math.sin(s)+d}}(r)],m),n.name=f[r],n.withlabel=n.name!="",n.fillcolor=u&&u[r%u.length],n.labelcolor=u&&u[r%u.length],n.highlightfillcolor=a&&a[r%a.length],s[r]=e.create("sector",[v,i[r],i[r+1]],n),n.highlightonsector&&(s[r].hasPoint=s[r].hasPointSector),n.highlightbysize&&(s[r].highlight=function(){if(!this.highlighted){this.highlighted=!0,this.board.renderer.highlight(this);var e=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],t=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];this.label.content!=null&&(this.label.content.rendNode.style.fontSize=2*this.label.content.visProp.fontsize+"px",this.label.content.prepareUpdate().update().updateRenderer()),this.point2.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+e*1.1,this.point1.coords.usrCoords[2]+t*1.1],this.board),this.prepareUpdate().update().updateRenderer()}},s[r].noHighlight=function(){if(this.highlighted){this.highlighted=!1,this.board.renderer.noHighlight(this);var e=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],t=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];this.label.content!=null&&(this.label.content.rendNode.style.fontSize=this.label.content.visProp.fontsize*2+"px",this.label.content.prepareUpdate().update().updateRenderer()),this.point2.coords=new JXG.Coords(JXG.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+e/1.1,this.point1.coords.usrCoords[2]+t/1.1],this.board),this.prepareUpdate().update().updateRenderer()}});return{sectors:s,points:i,midpoint:v}},drawRadar:function(e,t,n){var r,i,s,o,u,a,f=t.length,l,c,h,p,d,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A,O,M,_,D,P,H,B,j,F,I,q,R,U,z,W;if(f<=0){JXG.debug("No data");return}s=n.paramarray;if(!JXG.exists(s)){JXG.debug("Need paramArray attribute");return}o=s.length;if(o<=1){JXG.debug("Need more than 1 param");return}for(r=0;r<f;r++)if(o!=t[r].length){JXG.debug("Use data length equal to number of params ("+t[r].length+" != "+o+")");return}u=new Array(o),a=new Array(o);for(i=0;i<o;i++)u[i]=t[0][i],a[i]=u[i];for(r=1;r<f;r++)for(i=0;i<o;i++)t[r][i]>u[i]&&(u[i]=t[r][i]),t[r][i]<a[i]&&(a[i]=t[r][i]);l=new Array(f),c=new Array(f);for(r=0;r<f;r++)l[r]="",c[r]=[];h=new Array(o),p=new Array(o),d=n.startshiftratio||0,v=n.endshiftratio||0;for(r=0;r<o;r++)h[r]=(u[r]-a[r])*d,p[r]=(u[r]-a[r])*v;m=n.startshiftarray||h,g=n.endshiftarray||p,y=n.startarray||a;if(JXG.exists(n.start))for(r=0;r<o;r++)y[r]=n.start;b=n.endarray||u;if(JXG.exists(n.end))for(r=0;r<o;r++)b[r]=n.end;if(m.length!=o){JXG.debug("Start shifts length is not equal to number of parameters");return}if(g.length!=o){JXG.debug("End shifts length is not equal to number of parameters");return}if(y.length!=o){JXG.debug("Starts length is not equal to number of parameters");return}if(b.length!=o){JXG.debug("Ends length is not equal to number of parameters");return}w=n.labelarray||l,E=n.colors,S=n.highlightcolors,x=n.radius||10,T={},JXG.exists(n.highlightonsector)||(n.highlightonsector=!1),T.name=n.name,T.id=n.id,T.strokewidth=n.strokewidth||1,T.polystrokewidth=n.polystrokewidth||2*T.strokewidth,T.strokecolor=n.strokecolor||"black",T.straightfirst=!1,T.straightlast=!1,T.fillcolor=n.fillColor||"#FFFF88",T.fillopacity=n.fillOpacity||.4,T.highlightfillcolor=n.highlightFillColor||"#FF7400",T.highlightstrokecolor=n.highlightStrokeColor||"black",T.gradient=n.gradient||"none",N=n.center||[0,0],C=N[0],k=N[1],L=e.create("point",[C,k],{name:"",fixed:!0,withlabel:!1,visible:!1}),A=Math.PI/2-Math.PI/o;if(n.startangle||n.startangle===0)A=n.startangle;O=A,M=[],_=[];var X=function(){var e,t,n,r,i=this.visProp.label.offset.slice(0);return e=this.point1.X(),t=this.point2.X(),n=this.point1.Y(),r=this.point2.Y(),t<e&&(i[0]=-i[0]),r<n&&(i[1]=-i[1]),this.setLabelRelativeCoords(i),new JXG.Coords(JXG.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)},V=function(t,n){var r,i,s;return r=e.create("transform",[-(y[n]-m[n]),0],{type:"translate"}),i=e.create("transform",[x/(b[n]+g[n]-(y[n]-m[n])),1],{type:"scale"}),r.melt(i),s=e.create("transform",[t],{type:"rotate"}),r.melt(s),r};for(r=0;r<o;r++){O+=2*Math.PI/o,P=x*Math.cos(O)+C,H=x*Math.sin(O)+k,M[r]=e.create("point",[P,H],{name:"",fixed:!0,withlabel:!1,visible:!1}),_[r]=e.create("line",[L,M[r]],{name:s[r],strokeColor:T.strokecolor,strokeWidth:T.strokewidth,strokeOpacity:1,straightFirst:!1,straightLast:!1,withLabel:!0,highlightStrokeColor:T.highlightstrokecolor}),_[r].getLabelAnchor=X,D=V(O,r);for(i=0;i<t.length;i++){var $=t[i][r];c[i][r]=e.create("point",[$,0],{name:"",fixed:!0,withlabel:!1,visible:!1}),c[i][r].addTransform(c[i][r],D)}}B=new Array(f);for(r=0;r<f;r++){T.labelcolor=E&&E[r%E.length],T.strokecolor=E&&E[r%E.length],T.fillcolor=E&&E[r%E.length],B[r]=e.create("polygon",c[r],{withLines:!0,withLabel:!1,fillColor:T.fillcolor,fillOpacity:T.fillopacity,highlightFillColor:T.highlightfillcolor});for(i=0;i<o;i++)B[r].borders[i].setProperty("strokecolor:"+E[r%E.length]),B[r].borders[i].setProperty("strokewidth:"+T.polystrokewidth)}j=n.legendposition||"none";switch(j){case"right":var J=n.legendleftoffset||2,K=n.legendtopoffset||1;this.legend=e.create("legend",[C+x+J,k+x-K],{labels:w,colors:E});break;case"none":break;default:JXG.debug("Unknown legend position")}F=[];if(n["showcircles"]!=0){I=[];for(r=0;r<6;r++)I[r]=20*r;I[0]="0",q=n.circlelabelarray||I,R=q.length;if(R<2){alert("Too less circles");return}U=[],z=A+Math.PI/o,D=V(z,0),T.fillcolor="none",T.highlightfillcolor="none",T.strokecolor=n.strokecolor||"black",T.strokewidth=n.circlestrokewidth||.5,T.layer=0,W=(b[0]-y[0])/(R-1);for(r=0;r<R;r++)U[r]=e.create("point",[y[0]+r*W,0],{name:q[r],size:0,fixed:!0,withLabel:!0,visible:!0}),U[r].addTransform(U[r],D),F[r]=e.create("circle",[L,U[r]],T)}return this.rendNode=B[0].rendNode,{circles:F,lines:_,points:c,midpoint:L,polygons:B}},updateRenderer:function(){return this},update:function(){return this.needsUpdate&&this.updateDataArray(),this},updateDataArray:function(){}}),JXG.createChart=function(e,t,n){if(t.length==1&&typeof t[0]=="string"){var r=document.getElementById(t[0]),i,s,o,u,a,f=[],l,c,h,p,d,v,m,g,y,b,w;if(JXG.exists(r)){w=JXG.copyAttributes(n,e.options,"chart"),r=(new JXG.DataSource).loadFromTable(t[0],w.withheaders,w.withheaders),i=r.data,a=r.columnHeaders,s=r.rowHeaders,p=w.width,d=w.name,v=w.strokecolor,m=w.fillcolor,g=w.highlightstrokecolor,y=w.highlightfillcolor,e.suspendUpdate(),b=i.length,h=[];if(w.rows&&JXG.isArray(w.rows)){for(o=0;o<b;o++)for(u=0;u<w.rows.length;u++)if(w.rows[u]==o||w.withheaders&&w.rows[u]==s[o]){h.push(i[o]);break}}else h=i;b=h.length;for(o=0;o<b;o++){c=[];if(w.chartstyle&&w.chartstyle.indexOf("bar")!=-1){p?l=p:l=.8,c.push(1-l/2+(o+.5)*l/(1*b));for(u=1;u<h[o].length;u++)c.push(c[u-1]+1);w.width=l/(1*b)}d&&d.length==b?w.name=d[o]:w.withheaders&&(w.name=a[o]),v&&v.length==b?w.strokecolor=v[o]:w.strokecolor=JXG.hsv2rgb((o+1)/(1*b)*360,.9,.6),m&&m.length==b?w.fillcolor=m[o]:w.fillcolor=JXG.hsv2rgb((o+1)/(1*b)*360,.9,1),g&&g.length==b?w.highlightstrokecolor=g[o]:w.highlightstrokecolor=JXG.hsv2rgb((o+1)/(1*b)*360,.9,1),y&&y.length==b?w.highlightfillcolor=y[o]:w.highlightfillcolor=JXG.hsv2rgb((o+1)/(1*b)*360,.9,.6),w.chartstyle&&w.chartstyle.indexOf("bar")!=-1?f.push(new JXG.Chart(e,[c,h[o]],w)):f.push(new JXG.Chart(e,[h[o]],w))}e.unsuspendUpdate()}return f}return w=JXG.copyAttributes(n,e.options,"chart"),new JXG.Chart(e,t,w)},JXG.JSXGraph.registerElement("chart",JXG.createChart),JXG.Legend=function(e,t,n){var r;this.constructor(),r=JXG.copyAttributes(n,e.options,"legend"),this.board=e,this.coords=new JXG.Coords(JXG.COORDS_BY_USER,t,this.board),this.myAtts={},this.label_array=r.labelarray||r.labels,this.color_array=r.colorarray||r.colors,this.lines=[],this.myAtts.strokewidth=r.strokewidth||5,this.myAtts.straightfirst=!1,this.myAtts.straightlast=!1,this.myAtts.withlabel=!0,this.myAtts.fixed=!0,this.style=r.legendstyle||r.style;switch(this.style){case"vertical":this.drawVerticalLegend(e,r);break;default:throw new Error("JSXGraph: Unknown legend style: "+this.style)}},JXG.Legend.prototype=new JXG.GeometryElement,JXG.Legend.prototype.drawVerticalLegend=function(e,t){var n=t.linelength||1,r=(t.rowheight||20)/this.board.unitY,i;for(i=0;i<this.label_array.length;i++)this.myAtts.strokecolor=this.color_array[i],this.myAtts.highlightstrokecolor=this.color_array[i],this.myAtts.name=this.label_array[i],this.myAtts.label={offset:[10,0],strokeColor:this.color_array[i],strokeWidth:this.myAtts.strokewidth},this.lines[i]=e.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-i*r],[this.coords.usrCoords[1]+n,this.coords.usrCoords[2]-i*r]],this.myAtts),this.lines[i].getLabelAnchor=function(){return this.setLabelRelativeCoords(this.visProp.label.offset),new JXG.Coords(JXG.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)}},JXG.createLegend=function(e,t,n){var r=[0,0];return JXG.exists(t)&&t.length==2&&(r=t),new JXG.Legend(e,r,n)},JXG.JSXGraph.registerElement("legend",JXG.createLegend),JXG.Transformation=function(e,t,n){this.elementClass=JXG.OBJECT_CLASS_OTHER,this.matrix=[[1,0,0],[0,1,0],[0,0,1]],this.board=e,this.isNumericMatrix=!1,this.setMatrix(e,t,n)},JXG.Transformation.prototype={},JXG.extend(JXG.Transformation.prototype,{update:function(){return this},setMatrix:function(e,t,n){var r;this.isNumericMatrix=!0;for(r=0;r<n.length;r++)if(typeof n[r]!="number"){this.isNumericMatrix=!1;break}t=="translate"?(this.evalParam=JXG.createEvalFunction(e,n,2),this.update=function(){this.matrix[1][0]=this.evalParam(0),this.matrix[2][0]=this.evalParam(1)}):t=="scale"?(this.evalParam=JXG.createEvalFunction(e,n,2),this.update=function(){this.matrix[1][1]=this.evalParam(0),this.matrix[2][2]=this.evalParam(1)}):t=="reflect"?(n.length<4&&(n[0]=JXG.getReference(e,n[0])),n.length==2&&(n[1]=JXG.getReference(e,n[1])),n.length==4&&(this.evalParam=JXG.createEvalFunction(e,n,4)),this.update=function(){var e,t,r,i,s,o,u,a;n.length==1?u=n[0].stdform:n.length==2?u=JXG.Math.crossProduct(n[1].coords.usrCoords,n[0].coords.usrCoords):n.length==4&&(u=JXG.Math.crossProduct([1,this.evalParam(2),this.evalParam(3)],[1,this.evalParam(0),this.evalParam(1)])),e=u[1],t=u[2],r=u[0],a=[-r*e,-r*t,e*e+t*t],o=a[2],i=a[0]/a[2],s=a[1]/a[2],e=-u[2],t=u[1],this.matrix[1][1]=(e*e-t*t)/o,this.matrix[1][2]=2*e*t/o,this.matrix[2][1]=this.matrix[1][2],this.matrix[2][2]=-this.matrix[1][1],this.matrix[1][0]=i*(1-this.matrix[1][1])-s*this.matrix[1][2],this.matrix[2][0]=s*(1-this.matrix[2][2])-i*this.matrix[2][1]}):t=="rotate"?(n.length==3?this.evalParam=JXG.createEvalFunction(e,n,3):n.length<=2&&(this.evalParam=JXG.createEvalFunction(e,n,1),n.length==2&&(n[1]=JXG.getReference(e,n[1]))),this.update=function(){var e=this.evalParam(0),t,r,i=Math.cos(e),s=Math.sin(e);this.matrix[1][1]=i,this.matrix[1][2]=-s,this.matrix[2][1]=s,this.matrix[2][2]=i,n.length>1&&(n.length==3?(t=this.evalParam(1),r=this.evalParam(2)):(t=n[1].X(),r=n[1].Y()),this.matrix[1][0]=t*(1-i)+r*s,this.matrix[2][0]=r*(1-i)-t*s)}):t=="shear"?(this.evalParam=JXG.createEvalFunction(e,n,1),this.update=function(){var e=this.evalParam(0);this.matrix[1][1]=Math.tan(e)}):t=="generic"&&(this.evalParam=JXG.createEvalFunction(e,n,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)})},apply:function(e){return this.update(),arguments[1]!=null?JXG.Math.matVecMult(this.matrix,e.initialCoords.usrCoords):JXG.Math.matVecMult(this.matrix,e.coords.usrCoords)},applyOnce:function(e){var t,n,r;JXG.isArray(e)||(e=[e]),n=e.length;for(r=0;r<n;r++)this.update(),t=JXG.Math.matVecMult(this.matrix,e[r].coords.usrCoords),e[r].coords.setCoordinates(JXG.COORDS_BY_USER,t)},bindTo:function(e){var t,n;if(JXG.isArray(e)){n=e.length;for(t=0;t<n;t++)e[t].transformations.push(this)}else e.transformations.push(this)},setProperty:function(e){},melt:function(e){var t=[],n,r,i,s,o,u;r=e.matrix.length,i=this.matrix[0].length;for(n=0;n<r;n++)t[n]=[];this.update(),e.update();for(n=0;n<r;n++)for(u=0;u<i;u++){o=0;for(s=0;s<r;s++)o+=e.matrix[n][s]*this.matrix[s][u];t[n][u]=o}return this.update=function(){var e=this.matrix.length,r=this.matrix[0].length;for(n=0;n<e;n++)for(u=0;u<r;u++)this.matrix[n][u]=t[n][u]},this}}),JXG.createTransform=function(e,t,n){return new JXG.Transformation(e,n.type,t)},JXG.JSXGraph.registerElement("transform",JXG.createTransform),JXG.Turtle=function(e,t,n){this.constructor(e,n,JXG.OBJECT_TYPE_TURTLE,JXG.OBJECT_CLASS_OTHER);var r,i,s;return this.turtleIsHidden=!1,this.board=e,this.visProp.curveType="plot",this._attributes=JXG.copyAttributes(this.visProp,e.options,"turtle"),delete this._attributes.id,r=0,i=0,s=90,t.length!=0&&(t.length==3?(r=t[0],i=t[1],s=t[2]):t.length==2?JXG.isArray(t[0])?(r=t[0][0],i=t[0][1],s=t[1]):(r=t[0],i=t[1]):(r=t[0][0],i=t[0][1])),this.init(r,i,s),this},JXG.Turtle.prototype=new JXG.GeometryElement,JXG.extend(JXG.Turtle.prototype,{init:function(e,t,n){this.arrowLen=20/Math.sqrt(this.board.unitX*this.board.unitX+this.board.unitY*this.board.unitY),this.pos=[e,t],this.isPenDown=!0,this.dir=90,this.stack=[],this.objects=[],this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.turtle=this.board.create("point",this.pos,{fixed:!0,name:" ",visible:!1,withLabel:!1}),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],{fixed:!0,name:" ",visible:!1,withLabel:!1}),this.objects.push(this.turtle2),this.visProp.arrow.lastArrow=!0,this.visProp.arrow.straightFirst=!1,this.visProp.arrow.straightLast=!1,this.arrow=this.board.create("line",[this.turtle,this.turtle2],this.visProp.arrow),this.objects.push(this.arrow),this.right(90-n),this.board.update()},forward:function(e){if(e===0)return this;var t=e*Math.cos(this.dir*Math.PI/180),n=e*Math.sin(this.dir*Math.PI/180);if(!this.turtleIsHidden){var r=this.board.create("transform",[t,n],{type:"translate"});r.applyOnce(this.turtle),r.applyOnce(this.turtle2)}return this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]+=t,this.pos[1]+=n,this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update(),this},back:function(e){return this.forward(-e)},right:function(e){this.dir-=e,this.dir%=360;if(!this.turtleIsHidden){var t=this.board.create("transform",[-e*Math.PI/180,this.turtle],{type:"rotate"});t.applyOnce(this.turtle2)}return this.board.update(),this},left:function(e){return this.right(-e)},penUp:function(){return this.isPenDown=!1,this},penDown:function(){return this.isPenDown=!0,this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this},clean:function(){for(var e=0;e<this.objects.length;e++){var t=this.objects[e];t.type==JXG.OBJECT_TYPE_CURVE&&(this.board.removeObject(t),this.objects.splice(e,1))}return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.board.update(),this},clearScreen:function(){var e,t,n=this.objects.length;for(e=0;e<n;e++)t=this.objects[e],this.board.removeObject(t);return this.init(0,0,90),this},setPos:function(e,t){JXG.isArray(e)?this.pos=e:this.pos=[e,t];if(!this.turtleIsHidden){this.turtle.setPositionDirectly(JXG.COORDS_BY_USER,[e,t]),this.turtle2.setPositionDirectly(JXG.COORDS_BY_USER,[e,t+this.arrowLen]);var n=this.board.create("transform",[-(this.dir-90)*Math.PI/180,this.turtle],{type:"rotate"});n.applyOnce(this.turtle2)}return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve),this.board.update(),this},setPenSize:function(e){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeWidth",e)),this.objects.push(this.curve),this},setPenColor:function(e){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeColor",e)),this.objects.push(this.curve),this},setHighlightPenColor:function(e){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("highlightStrokeColor",e)),this.objects.push(this.curve),this},setProperty:function(e){var t,n,r=this.objects.length,i;for(t=0;t<r;t++)n=this.objects[t],n.type==JXG.OBJECT_TYPE_CURVE&&n.setProperty(e);return i=this.visProp.id,this.visProp=JXG.deepCopy(this.curve.visProp),this.visProp.id=i,this._attributes=JXG.deepCopy(this.visProp),delete this._attributes.id,this},copyAttr:function(e,t){return this._attributes[e.toLowerCase()]=t,this._attributes},showTurtle:function(){return this.turtleIsHidden=!1,this.arrow.setProperty({visible:!0}),this.visProp.arrow.visible=!1,this.setPos(this.pos[0],this.pos[1]),this.board.update(),this},hideTurtle:function(){return this.turtleIsHidden=!0,this.arrow.setProperty({visible:!1}),this.visProp.arrow.visible=!1,this.board.update(),this},home:function(){return this.pos=[0,0],this.setPos(this.pos[0],this.pos[1]),this},pushTurtle:function(){return this.stack.push([this.pos[0],this.pos[1],this.dir]),this},popTurtle:function(){var e=this.stack.pop();return this.pos[0]=e[0],this.pos[1]=e[1],this.dir=e[2],this.setPos(this.pos[0],this.pos[1]),this},lookTo:function(e){if(JXG.isArray(e)){var t=this.pos[0],n=this.pos[1],r=e[0],i=e[1],s;s=Math.atan2(i-n,r-t),this.right(this.dir-s*180/Math.PI)}else JXG.isNumber(e)&&this.right(this.dir-e);return this},moveTo:function(e){if(JXG.isArray(e)){var t=e[0]-this.pos[0],n=e[1]-this.pos[1];if(!this.turtleIsHidden){var r=this.board.create("transform",[t,n],{type:"translate"});r.applyOnce(this.turtle),r.applyOnce(this.turtle2)}this.isPenDown&&this.curve.dataX.length>=8192&&(this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this._attributes),this.objects.push(this.curve)),this.pos[0]=e[0],this.pos[1]=e[1],this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update()}return this},fd:function(e){return this.forward(e)},bk:function(e){return this.back(e)},lt:function(e){return this.left(e)},rt:function(e){return this.right(e)},pu:function(){return this.penUp()},pd:function(){return this.penDown()},ht:function(){return this.hideTurtle()},st:function(){return this.showTurtle()},cs:function(){return this.clearScreen()},push:function(){return this.pushTurtle()},pop:function(){return this.popTurtle()},evalAt:function(e,t){var n,r,i,s,o=this.objects.length;for(n=0,r=0;n<o;n++){i=this.objects[n];if(i.elementClass==JXG.OBJECT_CLASS_CURVE){if(r<=e&&e<r+i.numberPoints)return s=e-r,i[t](s);r+=i.numberPoints}}return this[t]()},X:function(e){return typeof e=="undefined"?this.pos[0]:this.evalAt(e,"X")},Y:function(e){return typeof e=="undefined"?this.pos[1]:this.evalAt(e,"Y")},Z:function(e){return 1},minX:function(){return 0},maxX:function(){var e=0,t,n=this.objects.length,r;for(t=0;t<n;t++)r=this.objects[t],r.elementClass==JXG.OBJECT_CLASS_CURVE&&(e+=this.objects[t].numberPoints);return e},hasPoint:function(e,t){var n,r;for(n=0;n<this.objects.length;n++){r=this.objects[n];if(r.type==JXG.OBJECT_TYPE_CURVE&&r.hasPoint(e,t))return!0}return!1}}),JXG.createTurtle=function(e,t,n){var r;return t=t||[],r=JXG.copyAttributes(n,e.options,"turtle"),new JXG.Turtle(e,t,r)},JXG.JSXGraph.registerElement("turtle",JXG.createTurtle),JXG.rgbParser=function(){var e,t=!1,n,r,i,s;if(arguments.length===0)return[];arguments.length>=3&&(arguments[0]=[arguments[0],arguments[1],arguments[2]],arguments.length=1),e=arguments[0];if(JXG.isArray(e)){for(n=0;n<3;n++)t|=/\./.test(arguments[0][n].toString());for(n=0;n<3;n++)t&=arguments[0][n]>=0&arguments[0][n]<=1;return t?[Math.ceil(arguments[0][0]*255),Math.ceil(arguments[0][1]*255),Math.ceil(arguments[0][2]*255)]:(arguments[0].length=3,arguments[0])}typeof arguments[0]=="string"&&(e=arguments[0]),e.charAt(0)=="#"&&(e=e.substr(1,6)),e=e.replace(/ /g,"").toLowerCase();var o={aliceblue:"f0f8ff",antiquewhite:"faebd7",aqua:"00ffff",aquamarine:"7fffd4",azure:"f0ffff",beige:"f5f5dc",bisque:"ffe4c4",black:"000000",blanchedalmond:"ffebcd",blue:"0000ff",blueviolet:"8a2be2",brown:"a52a2a",burlywood:"deb887",cadetblue:"5f9ea0",chartreuse:"7fff00",chocolate:"d2691e",coral:"ff7f50",cornflowerblue:"6495ed",cornsilk:"fff8dc",crimson:"dc143c",cyan:"00ffff",darkblue:"00008b",darkcyan:"008b8b",darkgoldenrod:"b8860b",darkgray:"a9a9a9",darkgreen:"006400",darkkhaki:"bdb76b",darkmagenta:"8b008b",darkolivegreen:"556b2f",darkorange:"ff8c00",darkorchid:"9932cc",darkred:"8b0000",darksalmon:"e9967a",darkseagreen:"8fbc8f",darkslateblue:"483d8b",darkslategray:"2f4f4f",darkturquoise:"00ced1",darkviolet:"9400d3",deeppink:"ff1493",deepskyblue:"00bfff",dimgray:"696969",dodgerblue:"1e90ff",feldspar:"d19275",firebrick:"b22222",floralwhite:"fffaf0",forestgreen:"228b22",fuchsia:"ff00ff",gainsboro:"dcdcdc",ghostwhite:"f8f8ff",gold:"ffd700",goldenrod:"daa520",gray:"808080",green:"008000",greenyellow:"adff2f",honeydew:"f0fff0",hotpink:"ff69b4",indianred:"cd5c5c",indigo:"4b0082",ivory:"fffff0",khaki:"f0e68c",lavender:"e6e6fa",lavenderblush:"fff0f5",lawngreen:"7cfc00",lemonchiffon:"fffacd",lightblue:"add8e6",lightcoral:"f08080",lightcyan:"e0ffff",lightgoldenrodyellow:"fafad2",lightgrey:"d3d3d3",lightgreen:"90ee90",lightpink:"ffb6c1",lightsalmon:"ffa07a",lightseagreen:"20b2aa",lightskyblue:"87cefa",lightslateblue:"8470ff",lightslategray:"778899",lightsteelblue:"b0c4de",lightyellow:"ffffe0",lime:"00ff00",limegreen:"32cd32",linen:"faf0e6",magenta:"ff00ff",maroon:"800000",mediumaquamarine:"66cdaa",mediumblue:"0000cd",mediumorchid:"ba55d3",mediumpurple:"9370d8",mediumseagreen:"3cb371",mediumslateblue:"7b68ee",mediumspringgreen:"00fa9a",mediumturquoise:"48d1cc",mediumvioletred:"c71585",midnightblue:"191970",mintcream:"f5fffa",mistyrose:"ffe4e1",moccasin:"ffe4b5",navajowhite:"ffdead",navy:"000080",oldlace:"fdf5e6",olive:"808000",olivedrab:"6b8e23",orange:"ffa500",orangered:"ff4500",orchid:"da70d6",palegoldenrod:"eee8aa",palegreen:"98fb98",paleturquoise:"afeeee",palevioletred:"d87093",papayawhip:"ffefd5",peachpuff:"ffdab9",peru:"cd853f",pink:"ffc0cb",plum:"dda0dd",powderblue:"b0e0e6",purple:"800080",red:"ff0000",rosybrown:"bc8f8f",royalblue:"4169e1",saddlebrown:"8b4513",salmon:"fa8072",sandybrown:"f4a460",seagreen:"2e8b57",seashell:"fff5ee",sienna:"a0522d",silver:"c0c0c0",skyblue:"87ceeb",slateblue:"6a5acd",slategray:"708090",snow:"fffafa",springgreen:"00ff7f",steelblue:"4682b4",tan:"d2b48c",teal:"008080",thistle:"d8bfd8",tomato:"ff6347",turquoise:"40e0d0",violet:"ee82ee",violetred:"d02090",wheat:"f5deb3",white:"ffffff",whitesmoke:"f5f5f5",yellow:"ffff00",yellowgreen:"9acd32"};e=o[e]||e;var u=[{re:/^\s*rgba\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*([\d\.]{1,3})\s*\)\s*$/,example:["rgba(123, 234, 45, 0.5)","rgba(255,234,245,1.0)"],process:function(e){return[parseInt(e[1]),parseInt(e[2]),parseInt(e[3])]}},{re:/^\s*rgb\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*\)\s*$/,example:["rgb(123, 234, 45)","rgb(255,234,245)"],process:function(e){return[parseInt(e[1]),parseInt(e[2]),parseInt(e[3])]}},{re:/^(\w{2})(\w{2})(\w{2})$/,example:["#00ff00","336699"],process:function(e){return[parseInt(e[1],16),parseInt(e[2],16),parseInt(e[3],16)]}},{re:/^(\w{1})(\w{1})(\w{1})$/,example:["#fb0","f0f"],process:function(e){return[parseInt(e[1]+e[1],16),parseInt(e[2]+e[2],16),parseInt(e[3]+e[3],16)]}}];for(n=0;n<u.length;n++){var a=u[n].re,f=u[n].process,l=a.exec(e),c;l&&(c=f(l),r=c[0],i=c[1],s=c[2])}return isNaN(r)||isNaN(i)||isNaN(s)?[]:(r=r<0||isNaN(r)?0:r>255?255:r,i=i<0||isNaN(i)?0:i>255?255:i,s=s<0||isNaN(s)?0:s>255?255:s,[r,i,s])},JXG.rgb2css=function(){var e,t,n;return e=JXG.rgbParser.apply(JXG.rgbParser,arguments),t=e[1],n=e[2],e=e[0],"rgb("+e+", "+t+", "+n+")"},JXG.rgb2hex=function(){var e,t,n;return e=JXG.rgbParser.apply(JXG.rgbParser,arguments),t=e[1],n=e[2],e=e[0],e=e.toString(16),t=t.toString(16),n=n.toString(16),e.length==1&&(e="0"+e),t.length==1&&(t="0"+t),n.length==1&&(n="0"+n),"#"+e+t+n},JXG.hex2rgb=function(e){var t,n,r;return e.charAt(0)=="#"&&(e=e.slice(1)),t=parseInt(e.substr(0,2),16),n=parseInt(e.substr(2,2),16),r=parseInt(e.substr(4,2),16),"rgb("+t+", "+n+", "+r+")"},JXG.hsv2rgb=function(e,t,n){var r,i,s,o,u,a,f,l,c;e=(e%360+360)%360;if(t==0){if(!(isNaN(e)||e<JXG.Math.eps))return"#ffffff";r=n,i=n,s=n}else{e>=360?a=0:a=e,a/=60,u=Math.floor(a),o=a-u,f=n*(1-t),l=n*(1-t*o),c=n*(1-t*(1-o));switch(u){case 0:r=n,i=c,s=f;break;case 1:r=l,i=n,s=f;break;case 2:r=f,i=n,s=c;break;case 3:r=f,i=l,s=n;break;case 4:r=c,i=f,s=n;break;case 5:r=n,i=f,s=l}}return r=Math.round(r*255).toString(16),r=r.length==2?r:r.length==1?"0"+r:"00",i=Math.round(i*255).toString(16),i=i.length==2?i:i.length==1?"0"+i:"00",s=Math.round(s*255).toString(16),s=s.length==2?s:s.length==1?"0"+s:"00",["#",r,i,s].join("")},JXG.rgb2hsv=function(){var e,t,n,r,i,s,o,u,a,f,l,c,h,p;return e=JXG.rgbParser.apply(JXG.rgbParser,arguments),t=e[1],n=e[2],e=e[0],p=JXG.Math.Statistics,r=e/255,i=t/255,s=n/255,c=p.max([e,t,n]),h=p.min([e,t,n]),o=c/255,u=h/255,l=o,f=0,l>0&&(f=(l-u)/(l*1)),a=1/(o-u),f>0&&(c==e?a=(i-s)*a:c==t?a=2+(s-r)*a:a=4+(r-i)*a),a*=60,a<0&&(a+=360),c==h&&(a=0),[a,f,l]},JXG.rgb2LMS=function(){var e,t,n,r,i,s,o,u=[[.05059983,.08585369,.0095242],[.01893033,.08925308,.01370054],[.00292202,.00975732,.07145979]];return e=JXG.rgbParser.apply(JXG.rgbParser,arguments),t=e[1],n=e[2],e=e[0],e=Math.pow(e,.476190476),t=Math.pow(t,.476190476),n=Math.pow(n,.476190476),r=e*u[0][0]+t*u[0][1]+n*u[0][2],i=e*u[1][0]+t*u[1][1]+n*u[1][2],s=e*u[2][0]+t*u[2][1]+n*u[2][2],o=[r,i,s],o.l=r,o.m=i,o.s=s,o},JXG.LMS2rgb=function(e,t,n){var r,i,s,o,u=[[30.830854,-29.832659,1.610474],[-6.481468,17.715578,-2.532642],[-0.37569,-1.199062,14.273846]];r=e*u[0][0]+t*u[0][1]+n*u[0][2],i=e*u[1][0]+t*u[1][1]+n*u[1][2],s=e*u[2][0]+t*u[2][1]+n*u[2][2];var a=function(e){var t=127,n=64;while(n>0){if(Math.pow(t,.476190476)>e)t-=n;else{if(Math.pow(t+1,.476190476)>e)return t;t+=n}n/=2}return t==254&&13.994955247<e?255:t};return r=a(r),i=a(i),s=a(s),o=[r,i,s],o.r=r,o.g=i,o.b=s,o},JXG.rgba2rgbo=function(e){var t;return e.length==9&&e.charAt(0)=="#"?(t=parseInt(e.substr(7,2).toUpperCase(),16)/255,e=e.substr(0,7)):t=1,[e,t]},JXG.rgbo2rgba=function(e,t){var n;return e=="none"?e:(n=Math.round(t*255).toString(16),n.length==1&&(n="0"+n),e+n)},JXG.rgb2bw=function(e){if(e=="none")return e;var t,n="0123456789ABCDEF",r,i;return i=JXG.rgbParser(e),t=.3*i[0]+.59*i[1]+.11*i[2],r=n.charAt(t>>4&15)+n.charAt(t&15),e="#"+r+""+r+""+r,e},JXG.rgb2cb=function(e,t){if(e=="none")return e;var n,r,i,s,o,u,a,f,l,c,h,p,d;o=JXG.rgb2LMS(e),r=o.l,i=o.m,s=o.s,t=t.toLowerCase();switch(t){case"protanopia":a=-0.06150039994295001,f=.08277001656812001,l=-0.013200141220000003,c=.05858939668799999,h=-0.07934519995360001,p=.013289415272000003,d=.6903216543277437,u=s/i,u<d?r=-(f*i+l*s)/a:r=-(h*i+p*s)/c;break;case"tritanopia":a=-0.00058973116217,f=.007690316482,l=-0.01011703519052,c=.025495080838999994,h=-0.0422740347,p=.017005316784,d=.8349489908460004,u=i/r,u<d?s=-(a*r+f*i)/l:s=-(c*r+h*i)/p;break;default:a=-0.06150039994295001,f=.08277001656812001,l=-0.013200141220000003,c=.05858939668799999,h=-0.07934519995360001,p=.013289415272000003,d=.5763833686400911,u=s/r,u<d?i=-(a*r+l*s)/f:i=-(c*r+p*s)/h}n=JXG.LMS2rgb(r,i,s);var v="0123456789ABCDEF";return u=v.charAt(n.r>>4&15)+v.charAt(n.r&15),e="#"+u,u=v.charAt(n.g>>4&15)+v.charAt(n.g&15),e+=u,u=v.charAt(n.b>>4&15)+v.charAt(n.b&15),e+=u,e},JXG.extend(JXG.Board.prototype,{intersection:function(e,t,n,r,i){var s;return e=JXG.getReference(this,e),t=JXG.getReference(this,t),i!=null&&(s=i.point),e.elementClass!=JXG.OBJECT_CLASS_CURVE||t.elementClass!=JXG.OBJECT_CLASS_CURVE||e.type==JXG.OBJECT_TYPE_ARC&&t.type==JXG.OBJECT_TYPE_ARC?e.type==JXG.OBJECT_TYPE_ARC&&t.elementClass==JXG.OBJECT_CLASS_LINE||t.type==JXG.OBJECT_TYPE_ARC&&e.elementClass==JXG.OBJECT_CLASS_LINE?function(){return JXG.Math.Geometry.meet(e.stdform,t.stdform,n,e.board)}:e.elementClass==JXG.OBJECT_CLASS_CURVE&&t.elementClass==JXG.OBJECT_CLASS_LINE||t.elementClass==JXG.OBJECT_CLASS_CURVE&&e.elementClass==JXG.OBJECT_CLASS_LINE?function(){return JXG.Math.Geometry.meetCurveLine(e,t,n,e.board,i)}:e.elementClass==JXG.OBJECT_CLASS_LINE&&t.elementClass==JXG.OBJECT_CLASS_LINE?function(){var r,i,o=e.visProp.straightfirst;return first2=t.visProp.straightfirst,last1=e.visProp.straightlast,last2=t.visProp.straightlast,JXG.exists(s)&&!s.visProp.alwaysintersect&&(o==0||last1==0||first2==0||last2==0)?(r=JXG.Math.Geometry.meetSegmentSegment(e.point1.coords.usrCoords,e.point2.coords.usrCoords,t.point1.coords.usrCoords,t.point2.coords.usrCoords,e.board),!o&&r[1]<0||!last1&&r[1]>1||!first2&&r[2]<0||!last2&&r[2]>1?i=[0,NaN,NaN]:i=r[0],new JXG.Coords(JXG.COORDS_BY_USER,i,e.board)):JXG.Math.Geometry.meet(e.stdform,t.stdform,n,e.board)}:function(){return JXG.Math.Geometry.meet(e.stdform,t.stdform,n,e.board)}:function(){return JXG.Math.Geometry.meetCurveCurve(e,t,n,r,e.board)}},intersectionFunc:function(e,t,n,r){return this.intersection(e,t,n,r)},otherIntersection:function(e,t,n){return e=JXG.getReference(this,e),t=JXG.getReference(this,t),function(){var r=JXG.Math.Geometry.meet(e.stdform,t.stdform,0,e.board);return Math.abs(n.X()-r.usrCoords[1])>JXG.Math.eps||Math.abs(n.Y()-r.usrCoords[2])>JXG.Math.eps||Math.abs(n.Z()-r.usrCoords[0])>JXG.Math.eps?r:JXG.Math.Geometry.meet(e.stdform,t.stdform,1,e.board)}}}),JXG.extend(JXG.Board.prototype,{angle:function(e,t,n){return JXG.Math.Geometry.angle(e,t,n)},rad:function(e,t,n){return JXG.Math.Geometry.rad(e,t,n)},distance:function(e,t){return JXG.Math.Geometry.distance(e,t)},pow:function(e,t){return JXG.Math.pow(e,t)},round:function(e,t){return e.toFixed(t)},cosh:function(e){return JXG.Math.cosh(e)},sinh:function(e){return JXG.Math.sinh(e)},sgn:function(e){return e==0?0:e/Math.abs(e)},D:function(e,t){return JXG.Math.Numerics.D(e,t)},I:function(e,t){return JXG.Math.Numerics.I(e,t)},root:function(e,t,n){return JXG.Math.Numerics.root(e,t,n)},lagrangePolynomial:function(e){return JXG.Math.Numerics.lagrangePolynomial(e)},neville:function(e){return JXG.Math.Numerics.Neville(e)},riemannsum:function(e,t,n,r,i){return JXG.Math.Numerics.riemannsum(e,t,n,r,i)},abs:Math.abs,acos:Math.acos,asin:Math.asin,atan:Math.atan,ceil:Math.ceil,cos:Math.cos,exp:Math.exp,floor:Math.floor,log:Math.log,max:Math.max,min:Math.min,random:Math.random,sin:Math.sin,sqrt:Math.sqrt,tan:Math.tan,trunc:Math.ceil,factorial:function(e){return JXG.Math.factorial(e)},binomial:function(e,t){return JXG.Math.binomial(e,t)},getElement:function(e){return JXG.getReference(this,e)},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]]],pointFunc:function(){return[null]},pointOptions:["point",[[JXG.OBJECT_CLASS_POINT]]],lineFunc:function(){return arguments},lineOptions:["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],linesegmentFunc:function(){return arguments},linesegmentOptions:["line",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],linesegmentAtts:{straightFirst:!1,straightLast:!1},arrowFunc:function(){return arguments},arrowOptions:["arrow",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circleFunc:function(){return arguments},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]]],arrowparallelOptions:["arrowparallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],arrowparallelFunc:function(){return arguments},bisectorOptions:["bisector",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],bisectorFunc:function(){return arguments},circumcircleOptions:["circumcircle",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circumcircleFunc:function(){return arguments},circumcirclemidpointOptions:["circumcirclemidpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],circumcirclemidpointFunc:function(){return arguments},integralOptions:["integral",[[]]],integralFunc:function(){return arguments},midpointOptions:["midpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT],[JXG.OBJECT_CLASS_LINE]]],midpointFunc:function(){return arguments},mirrorpointOptions:["mirrorpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],mirrorpointFunc:function(){return arguments},normalOptions:["normal",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],normalFunc:function(){return arguments},parallelOptions:["parallel",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],parallelFunc:function(){return arguments},parallelpointOptions:["parallelpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_POINT]]],parallelpointFunc:function(){return arguments},perpendicularOptions:["perpendicular",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],perpendicularFunc:function(){return arguments},perpendicularpointOptions:["perpendicularpoint",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],perpendicularpointFunc:function(){return arguments},reflectionOptions:["reflection",[[JXG.OBJECT_CLASS_POINT,JXG.OBJECT_CLASS_LINE]]],reflectionFunc:function(){return arguments}}),JXG.Point.prototype.setPositionX=function(e,t){var n=e==JXG.COORDS_BY_USER?this.coords.usrCoords[2]:this.coords.scrCoords[2];this.setPosition(e,[t,n])},JXG.Point.prototype.setPositionY=function(e,t){var n=e==JXG.COORDS_BY_USER?this.coords.usrCoords[1]:this.coords.scrCoords[1];this.setPosition(e,[n,t])},JXG.Ticks=function(e,t,n){this.constructor(e.board,n,JXG.OBJECT_TYPE_TICKS,JXG.OBJECT_CLASS_OTHER),this.line=e,this.board=this.line.board,this.ticksFunction=null,this.fixedTicks=null,this.equidistant=!1;if(JXG.isFunction(t))throw this.ticksFunction=t,new Error("Function arguments are no longer supported.");JXG.isArray(t)?this.fixedTicks=t:(Math.abs(t)<JXG.Math.eps&&(t=n.defaultdistance),this.ticksFunction=function(e){return t},this.equidistant=!0),this.minTicksDistance=n.minticksdistance,this.maxTicksDistance=n.maxticksdistance,this.labels=[],this.id=this.line.addTicks(this),this.board.setId(this,"Ti")},JXG.Ticks.prototype=new JXG.GeometryElement,JXG.extend(JXG.Ticks.prototype,{hasPoint:function(e,t){var n,r,i=this.ticks.length,s=this.board.options.precision.hasPoint;if(!this.line.visProp.scalable)return!1;if(this.line.stdform[1]!=0&&this.line.stdform[2]!=0&&this.line.type!=JXG.OBJECT_TYPE_AXIS)return!1;for(n=0;n<i;n++){r=this.ticks[n];if(!r[2])continue;if(this.line.stdform[1]==0&&Math.abs(r[0][0]-this.line.point1.coords.scrCoords[1])<JXG.Math.eps)continue;if(this.line.stdform[2]==0&&Math.abs(r[1][0]-this.line.point1.coords.scrCoords[2])<JXG.Math.eps)continue;if(Math.abs(r[0][0]-r[0][1])>=1||Math.abs(r[1][0]-r[1][1])>=1)if(this.line.stdform[1]==0){if(Math.abs(t-(r[1][0]+r[1][1])*.5)<2*s&&r[0][0]-s<e&&e<r[0][1]+s)return!0}else if(this.line.stdform[2]==0&&Math.abs(e-(r[0][0]+r[0][1])*.5)<2*s&&r[1][0]-s<t&&t<r[1][1]+s)return!0}return!1},setPositionDirectly:function(e,t,n){var r,i,s,o=new JXG.Coords(e,t,this.board),u=new JXG.Coords(e,n,this.board),a=this.board.getBoundingBox();return this.line.visProp.scalable?(Math.abs(this.line.stdform[1])<JXG.Math.eps&&Math.abs(o.usrCoords[1]*u.usrCoords[1])>JXG.Math.eps?(r=u.usrCoords[1]/o.usrCoords[1],a[0]*=r,a[2]*=r,this.board.setBoundingBox(a,!1)):Math.abs(this.line.stdform[2])<JXG.Math.eps&&Math.abs(o.usrCoords[2]*u.usrCoords[2])>JXG.Math.eps&&(i=u.usrCoords[2]/o.usrCoords[2],a[3]*=i,a[1]*=i,this.board.setBoundingBox(a,!1)),this):this},calculateTicksCoordinates:function(){var e=this.line.point1,t=this.line.point2,n=e.Dist(t),r=(t.coords.usrCoords[1]-e.coords.usrCoords[1])/n,i=(t.coords.usrCoords[2]-e.coords.usrCoords[2])/n,s=e.coords.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[e.coords.usrCoords[1]+r,e.coords.usrCoords[2]+i],this.board)),o=this.equidistant?this.ticksFunction(1):1,u,a,f=5,l,c,h,p,d,v,m,g,y=0,b=0,w,E=2,S=-1,x,T,N,C,k=JXG.Math.eps,L,A,O,M=this.visProp.majorheight*.5,_=this.visProp.minorheight*.5,D,P,H,B,j,F;if(this.board.canvasWidth===0||this.board.canvasHeight===0)return;this.visProp.minorheight<0?this.minStyle="infinite":this.minStyle="finite",this.visProp.majorheight<0?this.majStyle="infinite":this.majStyle="finite",this.line.visProp.straightfirst?A=Number.NEGATIVE_INFINITY:A=0+k,this.line.visProp.straightlast?O=Number.POSITIVE_INFINITY:O=n-k,D=this.line.stdform[1],P=this.line.stdform[2],H=D,B=P,j=D,F=P,T=Math.sqrt(D*D*this.board.unitX*this.board.unitX+P*P*this.board.unitY*this.board.unitY),D*=M/T*this.board.unitX,P*=M/T*this.board.unitY,H*=_/T*this.board.unitX,B*=_/T*this.board.unitY,this.removeTickLabels();if(Math.abs(j)<JXG.Math.eps&&Math.abs(F)<JXG.Math.eps)return;this.ticks=[],this.labels=[];if(!this.equidistant){for(p=0;p<this.fixedTicks.length;p++)y=e.coords.usrCoords[1]+this.fixedTicks[p]*r,b=e.coords.usrCoords[2]+this.fixedTicks[p]*i,l=new JXG.Coords(JXG.COORDS_BY_USER,[y,b],this.board),w=this._tickEndings(l,j,F,D,P,H,B,!0),w.length==2&&this.fixedTicks[p]>=A&&this.fixedTicks[p]<O&&this.ticks.push(w),this.labels.push(this._makeLabel(this.visProp.labels[p]||this.fixedTicks[p],l,this.board,this.visProp.drawlabels,this.id,p));return}u=o,o*=this.visProp.scale,this.visProp.insertticks&&this.minTicksDistance>JXG.Math.eps&&(a=this._adjustTickDistance(o,s,f,e.coords,r,i),o*=a,u*=a),this.visProp.insertticks||(o/=this.visProp.minorticks+1,u/=this.visProp.minorticks+1),this.ticksDelta=o,this.symbTicksDelta=u,N=this.board.getBoundingBox(),y=(N[0]+N[2])*.5,b=(N[1]+N[3])*.5,C=[y*this.line.stdform[2]-b*this.line.stdform[1],-this.line.stdform[2],this.line.stdform[1]],x=JXG.Math.crossProduct(this.line.stdform,C),x[1]/=x[0],x[2]/=x[0],x[0]=1,l=new JXG.Coords(JXG.COORDS_BY_USER,x.slice(1),this.board),T=e.coords.distance(JXG.COORDS_BY_USER,l);if((t.X()-e.X())*(x[1]-e.X())<0||(t.Y()-e.Y())*(x[2]-e.Y())<0)T*=-1;v=Math.round(T/o)*o,Math.abs(v)>JXG.Math.eps&&(S=Math.abs(v)/v),x[1]=e.coords.usrCoords[1]+r*v,x[2]=e.coords.usrCoords[2]+i*v,c=v,v=0,m=0,h=c/this.visProp.scale,y=x[1],b=x[2],p=0,d=0;do{l=new JXG.Coords(JXG.COORDS_BY_USER,[y,b],this.board),l.major=Math.round((S*v+c)/o)%(this.visProp.minorticks+1)===0,w=this._tickEndings(l,j,F,D,P,H,B,l.major);if(w.length===3){L=S*m+h,(Math.abs(L)>=k||this.visProp.drawzero)&&L>A&&L<O&&(this.ticks.push(w),l.major?this.labels.push(this._makeLabel(L,l,this.board,this.visProp.drawlabels,this.id,p)):this.labels.push(null),p++),E==2&&(S*=-1);if(d%2===0||E===1)v+=o,m+=u}else S*=-1,E--;d++,y=x[1]+S*r*v,b=x[2]+S*i*v}while(E>0);this.needsUpdate=!0,this.updateRenderer()},_adjustTickDistance:function(e,t,n,r,i,s){var o,u,a=1;while(t>4*this.minTicksDistance)a/=10,o=r.usrCoords[1]+i*e*a,u=r.usrCoords[2]+s*e*a,t=r.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[o,u],this.board));while(t<this.minTicksDistance)a*=n,n=n==5?2:5,o=r.usrCoords[1]+i*e*a,u=r.usrCoords[2]+s*e*a,t=r.distance(JXG.COORDS_BY_SCREEN,new JXG.Coords(JXG.COORDS_BY_USER,[o,u],this.board));return a},_tickEndings:function(e,t,n,r,i,s,o,u){var a,f,l=this.board.canvasWidth,c=this.board.canvasHeight,h=[-1e3*l,-1e3*c],p=[-1e3*l,-1e3*c],d,v,m,g,y=0,b=!1;return f=e.scrCoords,u?(d=r,v=i,g=this.majStyle):(d=s,v=o,g=this.minStyle),Math.abs(t)<JXG.Math.eps?(h[0]=f[1],h[1]=f[1],p[0]=0,p[1]=c):Math.abs(n)<JXG.Math.eps?(h[0]=0,h[1]=l,p[0]=f[2],p[1]=f[2]):(y=0,m=JXG.Math.crossProduct([0,0,1],[-v*f[1]-d*f[2],v,d]),m[1]/=m[0],m[1]>=0&&m[1]<=l&&(h[y]=m[1],p[y]=0,y++),m=JXG.Math.crossProduct([0,1,0],[-v*f[1]-d*f[2],v,d]),m[2]/=m[0],m[2]>=0&&m[2]<=c&&(h[y]=0,p[y]=m[2],y++),y<2&&(m=JXG.Math.crossProduct([c*c,0,-c],[-v*f[1]-d*f[2],v,d]),m[1]/=m[0],m[1]>=0&&m[1]<=l&&(h[y]=m[1],p[y]=c,y++)),y<2&&(m=JXG.Math.crossProduct([l*l,-l,0],[-v*f[1]-d*f[2],v,d]),m[2]/=m[0],m[2]>=0&&m[2]<=c&&(h[y]=l,p[y]=m[2]))),h[0]>=0&&h[0]<=l&&p[0]>=0&&p[0]<=c||h[1]>=0&&h[1]<=l&&p[1]>=0&&p[1]<=c?b=!0:b=!1,g=="finite"&&(h[0]=f[1]+d,p[0]=f[2]-v,h[1]=f[1]-d,p[1]=f[2]+v),b?[h,p,u]:[]},_makeLabel:function(e,t,n,r,i,s){var o,u,a,f=typeof e=="number";return r?(o=e.toString(),Math.abs(e)<JXG.Math.eps&&(o="0"),f&&(o.length>5||o.indexOf("e")!=-1)&&(o=e.toPrecision(3).toString()),f&&o.indexOf(".")>-1&&(o=o.replace(/0+$/,""),o=o.replace(/\.$/,"")),this.visProp.scalesymbol.length>0&&o==="1"?o=this.visProp.scalesymbol:this.visProp.scalesymbol.length>0&&o==="0"?o="0":o+=this.visProp.scalesymbol,a={id:i+s+"Label",isLabel:!0,layer:n.options.layer.line,highlightStrokeColor:n.options.text.strokeColor,highlightStrokeWidth:n.options.text.strokeWidth,highlightStrokeOpacity:n.options.text.strokeOpacity,visible:this.visProp.visible,priv:this.visProp.priv},a=JXG.deepCopy(a,this.visProp.label),u=JXG.createText(n,[t.usrCoords[1],t.usrCoords[2],o],a),u.isDraggable=!1,u.dump=!1,u.distanceX=this.visProp.label.offset[0],u.distanceY=this.visProp.label.offset[1],u.setCoords(t.usrCoords[1]+u.distanceX/n.unitX,t.usrCoords[2]+u.distanceY/n.unitY),u.visProp.visible=r,u):null},removeTickLabels:function(){var e;if(this.labels!=null&&(this.board.needsFullUpdate||this.needsRegularUpdate)&&(this.board.options.renderer!="canvas"||this.board.options.text.display!="internal"))for(e=0;e<this.labels.length;e++)this.labels[e]!=null&&this.board.removeObject(this.labels[e])},update:function(){return this.needsUpdate&&this.calculateTicksCoordinates(),this},updateRenderer:function(){return this.needsUpdate&&(this.ticks&&this.board.renderer.updateTicks(this,this.dxMaj,this.dyMaj,this.dxMin,this.dyMin,this.minStyle,this.majStyle),this.needsUpdate=!1),this},hideElement:function(){var e;this.visProp.visible=!1,this.board.renderer.hide(this);for(e=0;e<this.labels.length;e++)JXG.exists(this.labels[e])&&this.labels[e].hideElement();return this},showElement:function(){var e;this.visProp.visible=!0,this.board.renderer.show(this);for(e=0;e<this.labels.length;e++)JXG.exists(this.labels[e])&&this.labels[e].showElement();return this}}),JXG.createTicks=function(e,t,n){var r,i,s=JXG.copyAttributes(n,e.options,"ticks");t.length<2?i=n.ticksDistance:i=t[1];if(t[0].elementClass!=JXG.OBJECT_CLASS_LINE||!(JXG.isFunction(t[1])||JXG.isArray(t[1])||JXG.isNumber(t[1])))throw new Error("JSXGraph: Can't create Ticks with parent types '"+typeof t[0]+"' and '"+typeof t[1]+"'.");return r=new JXG.Ticks(t[0],i,s),r.isDraggable=!0,r},JXG.JSXGraph.registerElement("ticks",JXG.createTicks),JXG.Util={},JXG.Util.Unzip=function(e){function k(){return x+=8,w<b.length?b[w++]:-1}function L(){S=1}function A(){var e;return x++,e=S&1,S>>=1,S==0&&(S=k(),e=S&1,S=S>>1|128),e}function O(e){var t=0,n=e;while(n--)t=t<<1|A();return e&&(t=p[t]>>8-e),t}function M(){f=0}function _(e){h++,a[f++]=e,t.push(String.fromCharCode(e)),f==32768&&(f=0)}function D(){this.b0=0,this.b1=0,this.jump=null,this.jumppos=-1}function V(){for(;;){if(z[U]>=X)return-1;if(W[z[U]]==U)return z[U]++;z[U]++}}function $(){var e=F[j],t;r&&document.write("<br>len:"+U+" treepos:"+j);if(U==17)return-1;j++,U++,t=V(),r&&document.write("<br>IsPat "+t);if(t>=0)e.b0=t,r&&document.write("<br>b0 "+e.b0);else{e.b0=32768,r&&document.write("<br>b0 "+e.b0);if($())return-1}t=V();if(t>=0)e.b1=t,r&&document.write("<br>b1 "+e.b1),e.jump=null;else{e.b1=32768,r&&document.write("<br>b1 "+e.b1),e.jump=F[j],e.jumppos=j;if($())return-1}return U--,0}function J(e,t,n,i){var s;r&&document.write("currentTree "+e+" numval "+t+" lengths "+n+" show "+i),F=e,j=0,W=n,X=t;for(s=0;s<17;s++)z[s]=0;U=0;if($())return r&&alert("invalid huffman tree\n"),-1;if(r){document.write("<br>Tree: "+F.length);for(var o=0;o<32;o++)document.write("Places["+o+"].b0="+F[o].b0+"<br>"),document.write("Places["+o+"].b1="+F[o].b1+"<br>")}return 0}function K(e){var t,n,i=0,s=e[i],o;for(;;){o=A(),r&&document.write("b="+o);if(o){if(!(s.b1&32768))return r&&document.write("ret1"),s.b1;s=s.jump,t=e.length;for(n=0;n<t;n++)if(e[n]===s){i=n;break}}else{if(!(s.b0&32768))return r&&document.write("ret2"),s.b0;i++,s=e[i]}}return r&&document.write("ret3"),-1}function Q(){var e,t,n,i,s;do{e=A(),n=O(2);switch(n){case 0:r&&alert("Stored\n");break;case 1:r&&alert("Fixed Huffman codes\n");break;case 2:r&&alert("Dynamic Huffman codes\n");break;case 3:r&&alert("Reserved block type!!\n");break;default:r&&alert("Unexpected value %d!\n",n)}if(n==0){var o,u;L(),o=k(),o|=k()<<8,u=k(),u|=k()<<8,(o^~u)&65535&&document.write("BlockLen checksum mismatch\n");while(o--)t=k(),_(t)}else if(n==1){var l;for(;;){l=p[O(7)]>>1,l>23?(l=l<<1|A(),l>199?(l-=128,l=l<<1|A()):(l-=48,l>143&&(l+=136))):l+=256;if(l<256)_(l);else{if(l==256)break;var s,c;l-=257,s=O(v[l])+d[l],l=p[O(5)]>>3,g[l]>8?(c=O(8),c|=O(g[l]-8)<<8):c=O(g[l]),c+=m[l];for(l=0;l<s;l++){var t=a[f-c&32767];_(t)}}}}else if(n==2){var l,h,b,w,E,S=new Array(320);b=257+O(5),w=1+O(5),E=4+O(4);for(l=0;l<19;l++)S[l]=0;for(l=0;l<E;l++)S[y[l]]=O(3);s=B.length;for(i=0;i<s;i++)B[i]=new D;if(J(B,19,S,0))return M(),1;if(r){document.write("<br>distanceTree");for(var T=0;T<B.length;T++)document.write("<br>"+B[T].b0+" "+B[T].b1+" "+B[T].jump+" "+B[T].jumppos)}h=b+w,i=0;var N=-1;r&&document.write("<br>n="+h+" bits: "+x+"<br>");while(i<h){N++,l=K(B),r&&document.write("<br>"+N+" i:"+i+" decode: "+l+"    bits "+x+"<br>");if(l<16)S[i++]=l;else if(l==16){var C;l=3+O(2);if(i+l>h)return M(),1;C=i?S[i-1]:0;while(l--)S[i++]=C}else{l==17?l=3+O(3):l=11+O(7);if(i+l>h)return M(),1;while(l--)S[i++]=0}}s=H.length;for(i=0;i<s;i++)H[i]=new D;if(J(H,b,S,0))return M(),1;s=H.length;for(i=0;i<s;i++)B[i]=new D;var P=new Array;for(i=b;i<S.length;i++)P[i-b]=S[i];if(J(B,w,P,0))return M(),1;r&&document.write("<br>literalTree");for(;;){l=K(H);if(l>=256){var s,c;l-=256;if(l==0)break;l--,s=O(v[l])+d[l],l=K(B),g[l]>8?(c=O(8),c|=O(g[l]-8)<<8):c=O(g[l]),c+=m[l];while(s--){var t=a[f-c&32767];_(t)}}else _(l)}}}while(!e);return M(),L(),0}function G(){r&&alert("NEXTFILE"),t=[];var e=[];l=!1,e[0]=k(),e[1]=k(),r&&alert("type: "+e[0]+" "+e[1]),e[0]==parseInt("78",16)&&e[1]==parseInt("da",16)&&(r&&alert("GEONExT-GZIP"),Q(),r&&alert(t.join("")),o[s]=new Array(2),o[s][0]=t.join(""),o[s][1]="geonext.gxt",s++),e[0]==parseInt("1f",16)&&e[1]==parseInt("8b",16)&&(r&&alert("GZIP"),Y(),r&&alert(t.join("")),o[s]=new Array(2),o[s][0]=t.join(""),o[s][1]="file",s++);if(e[0]==parseInt("50",16)&&e[1]==parseInt("4b",16)){l=!0,e[2]=k(),e[3]=k();if(e[2]==parseInt("3",16)&&e[3]==parseInt("4",16)){e[0]=k(),e[1]=k(),r&&alert("ZIP-Version: "+e[1]+" "+e[0]/10+"."+e[0]%10),i=k(),i|=k()<<8,r&&alert("gpflags: "+i);var n=k();n|=k()<<8,r&&alert("method: "+n),k(),k(),k(),k();var u=k();u|=k()<<8,u|=k()<<16,u|=k()<<24;var a=k();a|=k()<<8,a|=k()<<16,a|=k()<<24;var f=k();f|=k()<<8,f|=k()<<16,f|=k()<<24,r&&alert("local CRC: "+u+"\nlocal Size: "+f+"\nlocal CompSize: "+a);var p=k();p|=k()<<8;var d=k();d|=k()<<8,r&&alert("filelen "+p),m=0,N=[];while(p--){var v=k();v=="/"|v==":"?m=0:m<T-1&&(N[m++]=String.fromCharCode(v))}r&&alert("nameBuf: "+N),C||(C=N);var m=0;while(m<d)v=k(),m++;c=4294967295,h=0,(f=0)&&r&&alert("skipdir"),n==8&&(Q(),r&&alert(t.join("")),o[s]=new Array(2),o[s][0]=t.join(""),o[s][1]=N.join(""),s++),Y()}}}function Y(){var e,t=[],n,s,o,u,a;i&8&&(t[0]=k(),t[1]=k(),t[2]=k(),t[3]=k(),t[0]==parseInt("50",16)&&t[1]==parseInt("4b",16)&&t[2]==parseInt("07",16)&&t[3]==parseInt("08",16)?(e=k(),e|=k()<<8,e|=k()<<16,e|=k()<<24):e=t[0]|t[1]<<8|t[2]<<16|t[3]<<24,n=k(),n|=k()<<8,n|=k()<<16,n|=k()<<24,s=k(),s|=k()<<8,s|=k()<<16,s|=k()<<24,r&&alert("CRC:")),l&&G(),t[0]=k();if(t[0]!=8)return r&&alert("Unknown compression method!"),0;i=k(),r&&i&~parseInt("1f",16)&&alert("Unknown flags set!"),k(),k(),k(),k(),k(),o=k();if(i&4){t[0]=k(),t[2]=k(),U=t[0]+256*t[1],r&&alert("Extra field size: "+U);for(u=0;u<U;u++)k()}if(i&8){u=0,N=[];while(a=k()){if(a=="7"||a==":")u=0;u<T-1&&(N[u++]=a)}r&&alert("original file name: "+N)}if(i&16)while(a=k());i&2&&(k(),k()),Q(),e=k(),e|=k()<<8,e|=k()<<16,e|=k()<<24,s=k(),s|=k()<<8,s|=k()<<16,s|=k()<<24,l&&G()}var t=[],n="",r=!1,i,s=0,o=[],u,a=new Array(32768),f=0,l=!1,c,h,p=[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],d=[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],v=[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],m=[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],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],y=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15],b=e,w=0,E=0,S=1,x=0,T=256,N=[],C,P=288,H=new Array(P),B=new Array(32),j=0,F=null,I=null,q=new Array(64),R=new Array(64),U=0,z=new Array(17);z[0]=0;var W,X;JXG.Util.Unzip.prototype.unzipFile=function(e){var t;this.unzip();for(t=0;t<o.length;t++)if(o[t][1]==e)return o[t][0]},JXG.Util.Unzip.prototype.unzip=function(){return r&&alert(b),G(),o}},JXG.Util.Base64={_keyStr:"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=",encode:function(e){var t=[],n,r,i,s,o,u,a,f=0;e=JXG.Util.Base64._utf8_encode(e);while(f<e.length)n=e.charCodeAt(f++),r=e.charCodeAt(f++),i=e.charCodeAt(f++),s=n>>2,o=(n&3)<<4|r>>4,u=(r&15)<<2|i>>6,a=i&63,isNaN(r)?u=a=64:isNaN(i)&&(a=64),t.push([this._keyStr.charAt(s),this._keyStr.charAt(o),this._keyStr.charAt(u),this._keyStr.charAt(a)].join(""));return t.join("")},decode:function(e,t){var n=[],r,i,s,o,u,a,f,l=0;e=e.replace(/[^A-Za-z0-9\+\/\=]/g,"");while(l<e.length)o=this._keyStr.indexOf(e.charAt(l++)),u=this._keyStr.indexOf(e.charAt(l++)),a=this._keyStr.indexOf(e.charAt(l++)),f=this._keyStr.indexOf(e.charAt(l++)),r=o<<2|u>>4,i=(u&15)<<4|a>>2,s=(a&3)<<6|f,n.push(String.fromCharCode(r)),a!=64&&n.push(String.fromCharCode(i)),f!=64&&n.push(String.fromCharCode(s));return n=n.join(""),t&&(n=JXG.Util.Base64._utf8_decode(n)),n},_utf8_encode:function(e){e=e.replace(/\r\n/g,"\n");var t="";for(var n=0;n<e.length;n++){var r=e.charCodeAt(n);r<128?t+=String.fromCharCode(r):r>127&&r<2048?(t+=String.fromCharCode(r>>6|192),t+=String.fromCharCode(r&63|128)):(t+=String.fromCharCode(r>>12|224),t+=String.fromCharCode(r>>6&63|128),t+=String.fromCharCode(r&63|128))}return t},_utf8_decode:function(e){var t=[],n=0,r=0,i=0,s=0;while(n<e.length)r=e.charCodeAt(n),r<128?(t.push(String.fromCharCode(r)),n++):r>191&&r<224?(i=e.charCodeAt(n+1),t.push(String.fromCharCode((r&31)<<6|i&63)),n+=2):(i=e.charCodeAt(n+1),s=e.charCodeAt(n+2),t.push(String.fromCharCode((r&15)<<12|(i&63)<<6|s&63)),n+=3);return t.join("")},_destrip:function(e,t){var n=[],r,i,s=[];t==null&&(t=76),e.replace(/ /g,""),r=e.length/t;for(i=0;i<r;i++)n[i]=e.substr(i*t,t);r!=e.length/t&&(n[n.length]=e.substr(r*t,e.length-r*t));for(i=0;i<n.length;i++)s.push(n[i]);return s.join("\n")},decodeAsArray:function(e){var t=this.decode(e),n=[],r;for(r=0;r<t.length;r++)n[r]=t.charCodeAt(r);return n},decodeGEONExT:function(e){return decodeAsArray(destrip(e),!1)}},JXG.Util.asciiCharCodeAt=function(e,t){var n=e.charCodeAt(t);if(n>255)switch(n){case 8364:n=128;break;case 8218:n=130;break;case 402:n=131;break;case 8222:n=132;break;case 8230:n=133;break;case 8224:n=134;break;case 8225:n=135;break;case 710:n=136;break;case 8240:n=137;break;case 352:n=138;break;case 8249:n=139;break;case 338:n=140;break;case 381:n=142;break;case 8216:n=145;break;case 8217:n=146;break;case 8220:n=147;break;case 8221:n=148;break;case 8226:n=149;break;case 8211:n=150;break;case 8212:n=151;break;case 732:n=152;break;case 8482:n=153;break;case 353:n=154;break;case 8250:n=155;break;case 339:n=156;break;case 382:n=158;break;case 376:n=159;break;default:}return n},JXG.Util.utf8Decode=function(e){var t=[],n=0,r=0,i=0,s=0,o;if(!JXG.exists(e))return"";while(n<e.length)r=e.charCodeAt(n),r<128?(t.push(String.fromCharCode(r)),n++):r>191&&r<224?(s=e.charCodeAt(n+1),t.push(String.fromCharCode((r&31)<<6|s&63)),n+=2):(s=e.charCodeAt(n+1),o=e.charCodeAt(n+2),t.push(String.fromCharCode((r&15)<<12|(s&63)<<6|o&63)),n+=3);return t.join("")},JXG.Util.genUUID=function(){var e="0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz".split(""),t=new Array(36),n=0,r;for(var i=0;i<36;i++)i==8||i==13||i==18||i==23?t[i]="-":i==14?t[i]="4":(n<=2&&(n=33554432+Math.random()*16777216|0),r=n&15,n>>=4,t[i]=e[i==19?r&3|8:r]);return t.join("")},JXG.PsTricks={convert:function(e){var t=new JXG.Coords(JXG.COORDS_BY_SCREEN,[0,0],e),n=new JXG.Coords(JXG.COORDS_BY_SCREEN,[e.canvasWidth,e.canvasHeight],e),r,i,s=[];s.push("\\begin{pspicture*}("+t.usrCoords[1]+","+n.usrCoords[2]+")("+n.usrCoords[1]+","+t.usrCoords[2]+")\n");for(r in e.objects){i=e.objects[r];if(i.visProp.visible)switch(i.elementClass){case JXG.OBJECT_CLASS_CIRCLE:s.push(this.addCircle(i));break;case JXG.OBJECT_CLASS_LINE:s.push(this.addLine(i));break;case JXG.OBJECT_CLASS_POINT:s.push(this.addPoint(i));break;default:switch(i.type){case JXG.OBJECT_TYPE_ARC:s.push(this.addArc(i));break;case JXG.OBJECT_TYPE_SECTOR:s.push(this.addArc(i)),s.push(this.addSector(i));break;case JXG.OBJECT_TYPE_POLYGON:s.push(this.addPolygon(i));break;case JXG.OBJECT_TYPE_ANGLE:s.push(this.addAngle(i))}}}return s.push("\\end{pspicture*}"),s.join("\n")},setArrows:function(e){var t="";return e.visProp.firstarrow&&e.visProp.lastarrow?t="{<->}":e.visProp.firstarrow?t="{<-}":e.visProp.lastarrow&&(t="{->}"),t},drawWedge:function(e,t,n,r,i,s){var o="";return e!="none"&&t>0&&(o+="\\pswedge[linestyle=none, fillstyle=solid, fillcolor="+this.parseColor(e)+", opacity="+t.toFixed(5)+"]",o+="("+n.join(",")+"){"+r+"}{"+i+"}{"+s+"}\n"),o},addPoint:function(e){var t="\\psdot[linecolor="+this.parseColor(e.visProp.strokecolor)+",dotstyle=",n=e.normalizeFace(e.visProp.face)||"o",r=e.visProp.size>4?4:e.visProp.size,i=[0,0,"2pt 2","5pt 2","5pt 3"];return n=="x"?t+="x, dotsize="+i[r]:n=="o"?(t+="*, dotsize=",r==1?t+="2pt 2":r==2?t+="4pt 2":r==3?t+="6pt 2":r==4&&(t+="6pt 3")):n=="[]"?t+="square*, dotsize="+i[r]:n=="+"&&(t+="+, dotsize="+i[r]),t+="]("+e.coords.usrCoords.slice(1).join(",")+")\n",t+="\\rput("+(e.coords.usrCoords[1]+15/e.board.unitY)+","+(e.coords.usrCoords[2]+15/e.board.unitY)+"){\\small $"+e.name+"$}\n",t},addLine:function(e){var t=new JXG.Coords(JXG.COORDS_BY_USER,e.point1.coords.usrCoords,e.board),n=new JXG.Coords(JXG.COORDS_BY_USER,e.point2.coords.usrCoords,e.board),r="\\psline[linecolor="+this.parseColor(e.visProp.strokecolor)+", linewidth="+e.visProp.strokewidth+"px]";return(e.visProp.straightfirst||e.visProp.straightlast)&&JXG.Math.Geometry.calcStraight(e,t,n),r+=this.setArrows(e),r+="("+t.usrCoords.slice(1).join(",")+")("+n.usrCoords.slice(2).join(",")+")\n",r},addCircle:function(e){var t=e.Radius(),n="\\pscircle[linecolor="+this.parseColor(e.visProp.strokecolor)+", linewidth="+e.visProp.strokewidth+"px";return e.visProp.fillcolor!="none"&&e.visProp.fillopacity!=0&&(n+=", fillstyle=solid, fillcolor="+this.parseColor(e.visProp.fillcolor)+", opacity="+e.visProp.fillopacity.toFixed(5)),n+="]("+e.center.coords.usrCoords.slice(1).join("1")+"){"+t+"}\n",n},addPolygon:function(e){var t="\\pspolygon[linestyle=none, fillstyle=solid, fillcolor="+this.parseColor(e.visProp.fillcolor)+", opacity="+e.visProp.fillopacity.toFixed(5)+"]",n;for(n=0;n<e.vertices.length;n++)t+="("+e.vertices[n].coords.usrCoords.slice(1).join(",")+")";return t+="\n",t},addArc:function(e){var t=e.Radius(),n={coords:new JXG.Coords(JXG.COORDS_BY_USER,[e.board.canvasWidth/e.board.unitY,e.center.coords.usrCoords[2]],e.board)},r=JXG.Math.Geometry.trueAngle(n,e.center,e.point2).toFixed(4),i=JXG.Math.Geometry.trueAngle(n,e.center,e.point3).toFixed(4),s="\\psarc[linecolor="+this.parseColor(e.visProp.strokecolor)+", linewidth="+e.visProp.strokewidth+"px]";return s+=this.setArrows(e),s+="("+e.center.coords.usrCoords.slice(1).join(",")+"){"+t+"}{"+r+"}{"+i+"}\n",s},addSector:function(e){var t=e.Radius(),n={coords:new JXG.Coords(JXG.COORDS_BY_USER,[e.board.canvasWidth/e.board.unitY,e.point1.coords.usrCoords[2]],e.board)},r=JXG.Math.Geometry.trueAngle(n,e.point1,e.point2).toFixed(4),i=JXG.Math.Geometry.trueAngle(n,e.point1,e.point3).toFixed(4);return this.drawWedge(e.visProp.fillcolor,e.visProp.fillopacity,e.point1.coords.usrCoords.slice(1),t,r,i)},addAngle:function(e){var t=e.radius,n={coords:new JXG.Coords(JXG.COORDS_BY_USER,[e.board.canvasWidth/e.board.unitY,e.point2.coords.usrCoords[2]],e.board)},r=JXG.Math.Geometry.trueAngle(n,e.point2,e.point1).toFixed(4),i=JXG.Math.Geometry.trueAngle(n,e.point2,e.point3).toFixed(4),s;return s=this.drawWedge(e.visProp.fillcolor,e.visProp.fillopacity,e.point2.coords.usrCoords.slice(1),t,r,i),s+="\\psarc[linecolor="+this.parseColor(e.visProp.strokecolor)+", linewidth="+e.visProp.strokewidth+"px]",s+="("+e.point2.coords.usrCoords.slice(1).join(",")+"){"+t+"}{"+r+"}{"+i+"}\n",s},parseColor:function(e){var t=JXG.rgbParser(e);return"{[rgb]{"+t[0]/255+","+t[1]/255+","+t[2]/255+"}}"}},JXG.Server=function(){},JXG.Server.modules=function(){},JXG.Server.runningCalls={},JXG.Server.handleError=function(e){alert("error occured, server says: "+e.message)},JXG.Server.callServer=function(e,t,n,r){var i,s,o,u,a,f,l;r=r||!1,u="";for(l in n)u+="&"+escape(l)+"="+escape(n[l]);f=JXG.toJSON(n);do a=e+Math.floor(Math.random()*4096);while(typeof this.runningCalls[a]!="undefined");this.runningCalls[a]={action:e},typeof n.module!="undefined"&&(this.runningCalls[a].module=n.module),i=JXG.serverBase+"JXGServer.py",s="action="+escape(e)+"&id="+a+"&dataJSON="+escape(JXG.Util.Base64.encode(f)),this.cbp=function(e){var n,r,i,s,o,u,a,f;n=(new JXG.Util.Unzip(JXG.Util.Base64.decodeAsArray(e))).unzip(),JXG.isArray(n)&&n.length>0&&(n=n[0][0]);if(typeof n!="string")return;r=window.JSON&&window.JSON.parse?window.JSON.parse(n):(new Function("return "+n))();if(r.type=="error")this.handleError(r);else if(r.type=="response"){u=r.id;for(a=0;a<r.fields.length;a++)i=r.fields[a],s=i.namespace+(typeof (new Function("return "+i.namespace))()=="object"?".":".prototype.")+i.name+" = "+i.value,(new Function(s))();for(a=0;a<r.handler.length;a++){i=r.handler[a],o=[];for(f=0;f<i.parameters.length;f++)o[f]='"'+i.parameters[f]+'": '+i.parameters[f];s="if(typeof JXG.Server.modules."+this.runningCalls[u].module+' == "undefined")'+"JXG.Server.modules."+this.runningCalls[u].module+" = {};",s+="JXG.Server.modules."+this.runningCalls[u].module+"."+i.name+"_cb = "+i.callback+";",s+="JXG.Server.modules."+this.runningCalls[u].module+"."+i.name+" = function ("+i.parameters.join(",")+", __JXGSERVER_CB__, __JXGSERVER_SYNC) {"+'if(typeof __JXGSERVER_CB__ == "undefined") __JXGSERVER_CB__ = JXG.Server.modules.'+this.runningCalls[u].module+"."+i.name+"_cb;"+"var __JXGSERVER_PAR__ = {"+o.join(",")+', "module": "'+this.runningCalls[u].module+'", "handler": "'+i.name+'" };'+'JXG.Server.callServer("exec", __JXGSERVER_CB__, __JXGSERVER_PAR__, __JXGSERVER_SYNC);'+"};",(new Function(s))()}delete this.runningCalls[u],t(r.data)}},this.cb=JXG.bind(this.cbp,this),window.XMLHttpRequest?(o=new XMLHttpRequest,o.overrideMimeType("text/plain; charset=iso-8859-1")):o=new ActiveXObject("Microsoft.XMLHTTP");if(!o)return!1;o.open("POST",i,!r),o.setRequestHeader("Content-type","application/x-www-form-urlencoded"),r||(o.onreadystatechange=function(e){return function(){switch(o.readyState){case 4:o.status==200&&e(o.responseText);break;default:return!1}}}(this.cb)),o.send(s),r&&this.cb(o.responseText)},JXG.Server.loadModule_cb=function(e){var t;for(t=0;t<e.length;t++)alert(e[t].name+": "+e[t].value)},JXG.Server.loadModule=function(e){return JXG.Server.callServer("load",JXG.Server.loadModule_cb,{module:e},!0)},JXG.Server.load=JXG.Server.loadModule,JXG.DataSource=function(){return this.data=[],this.columnHeaders=[],this.rowHeaders=[],this},JXG.extend(JXG.DataSource.prototype,{loadFromArray:function(e,t,n){var r,i,s;typeof t=="undefined"&&(t=!1),typeof n=="undefined"&&(n=!1),JXG.isArray(t)&&(this.columnHeaders=t,t=!1),JXG.isArray(n)&&(this.rowHeaders=n,n=!1),this.data=[],t&&(this.columnHeaders=[]),n&&(this.rowHeaders=[]);if(typeof e!="undefined"){this.data=new Array(e.length);for(r=0;r<e.length;r++){this.data[r]=new Array(e[r].length);for(i=0;i<e[r].length;i++)s=e[r][i],""+parseFloat(s)==s?this.data[r][i]=parseFloat(s):s!="-"?this.data[r][i]=s:this.data[r][i]=NaN}t&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1));if(n){this.rowHeaders=new Array;for(r=0;r<this.data.length;r++)this.rowHeaders.push(this.data[r][0]),this.data[r]=this.data[r].slice(1)}}return this},loadFromTable:function(e,t,n){var r,i,s,o,u,a;typeof t=="undefined"&&(t=!1),typeof n=="undefined"&&(n=!1),JXG.isArray(t)&&(this.columnHeaders=t,t=!1),JXG.isArray(n)&&(this.rowHeaders=n,n=!1),this.data=[],t&&(this.columnHeaders=[]),n&&(this.rowHeaders=[]),e=document.getElementById(e);if(typeof e!="undefined"){r=e.getElementsByTagName("tr"),this.data=new Array(r.length);for(i=0;i<r.length;i++){o=r[i].getElementsByTagName("td"),this.data[i]=new Array(o.length);for(s=0;s<o.length;s++)u=o[s].innerHTML,""+parseFloat(u)==u?this.data[i][s]=parseFloat(u):u!="-"?this.data[i][s]=u:this.data[i][s]=NaN}t&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1));if(n){this.rowHeaders=new Array;for(i=0;i<this.data.length;i++)this.rowHeaders.push(this.data[i][0]),this.data[i]=this.data[i].slice(1)}}return this},addColumn:function(e,t,n){},addRow:function(e,t,n){},getColumn:function(e){var t=new Array(this.data.length),n;if(typeof e=="string")for(n=0;n<this.columnHeaders.length;n++)if(e==this.columnHeaders[n]){e=n;break}for(n=0;n<this.data.length;n++)this.data[n].length>e&&(t[n]=parseFloat(this.data[n][e]));return t},getRow:function(e){var t,n;if(typeof e=="string")for(n=0;n<this.rowHeaders.length;n++)if(e==this.rowHeaders[n]){e=n;break}t=new Array(this.data[e].length);for(n=0;n<this.data[e].length;n++)t[n]=this.data[e][n];return t}}),JXG.JessieCode=function(e,t){var n;this.sstack=[{}],this.scope=0,this.pstack=[[]],this.dpstack=[[]],this.pscope=0,this.propstack=[{}],this.propscope=0,this.propobj=0,this.lhs=[],this.isLHS=!1,this.warnLog="jcwarn",this.builtIn=this.defineBuiltIn(),this.board=null,this.lineToElement={},this.countLines=!0,this.parCurLine=1,this.parCurColumn=0,this.line=1,this.col=1,this.code="",typeof e=="string"&&this.parse(e)},JXG.extend(JXG.JessieCode.prototype,{node:function(e,t,n){return{type:e,value:t,children:n}},createNode:function(e,t,n){var r=this.node(e,t,[]),i;for(i=2;i<arguments.length;i++)r.children.push(arguments[i]);return r.line=this.parCurLine,r.col=this.parCurColumn,r},getElementById:function(e){return this.board.objects[e]},creator:function(){var e={},t;return t=function(t){var n;return typeof e[this.board.id+t]=="function"?e[this.board.id+t]:(n=function(e){return function(n,r){var i;return JXG.exists(r)?i=r:i={name:e.lhs[e.scope]!==0?e.lhs[e.scope]:""},e.board.create(t,n,i)}}(this),n.creator=!0,e[this.board.id+t]=n,n)},t.clearCache=function(){e={}},t}(),letvar:function(e,t){this.builtIn[e]&&this._warn('"'+e+'" is a predefined value.'),this.sstack[this.scope][e]=t},isLocalVariable:function(e){var t;for(t=this.scope;t>-1;t--)if(JXG.exists(this.sstack[t][e]))return t;return-1},isCreator:function(e){return!!JXG.JSXGraph.elements[e]},isMathMethod:function(e){return e!=="E"&&!!Math[e]},isBuiltIn:function(e){return!!this.builtIn[e]},getvar:function(e,t){var n,r;t=JXG.def(t,!1),n=this.isLocalVariable(e);if(n>-1)return this.sstack[n][e];if(this.isCreator(e))return this.creator(e);if(this.isMathMethod(e))return Math[e];if(this.isBuiltIn(e))return this.builtIn[e];if(!t){n=JXG.getRef(this.board,e);if(n!==e)return n}return r},getvarJS:function(e,t,n){var r;t=JXG.def(t,!1),n=JXG.def(n,!1);if(JXG.indexOf(this.pstack[this.pscope],e)>-1)return e;r=this.isLocalVariable(e);if(r>-1&&!n)return"$jc$.sstack["+r+"]['"+e+"']";if(this.isCreator(e))return"(function () { var a = Array.prototype.slice.call(arguments, 0), props = "+(n?"a.pop()":"{}")+"; return $jc$.board.create.apply($jc$.board, ['"+e+"'].concat([a, props])); })";n&&this._error("Syntax error (attribute values are allowed with element creators only)");if(this.isMathMethod(e))return"Math."+e;if(this.isBuiltIn(e))return this.builtIn[e].src||this.builtIn[e];if(!t){if(JXG.isId(this.board,e))return"$jc$.board.objects['"+e+"']";if(JXG.isName(this.board,e))return"$jc$.board.elementsByName['"+e+"']";if(JXG.isGroup(this.board,e))return"$jc$.board.groups['"+e+"']"}return""},mergeAttributes:function(){var e,t={};for(e=0;e<arguments.length;e++)t=JXG.deepCopy(t,arguments[e],!0);return t},setProp:function(e,t,n){var r={},i,s;e.elementClass!==JXG.OBJECT_CLASS_POINT||t!=="X"&&t!=="Y"?e.type!==JXG.OBJECT_TYPE_TEXT||t!=="X"&&t!=="Y"?e.type&&e.elementClass&&e.visProp?(r[t]=n,e.setProperty(r)):e[t]=n:(typeof n=="number"?e[t]=function(){return n}:typeof n=="function"?(e.isDraggable=!1,e[t]=n):typeof n=="string"&&(e.isDraggable=!1,e[t]=JXG.createFunction(n,this.board,null,!0),e[t+"jc"]=n),e[t].origin=n,this.board.update()):(t=t.toLowerCase(),e.isDraggable&&typeof n=="number"?(i=t==="x"?n:e.X(),s=t==="y"?n:e.Y(),e.setPosition(JXG.COORDS_BY_USER,[i,s])):!e.isDraggable||typeof n!="function"&&typeof n!="string"?e.isDraggable||(i=t==="x"?n:e.XEval.origin,s=t==="y"?n:e.YEval.origin,e.addConstraint([i,s])):(i=t==="x"?n:e.coords.usrCoords[1],s=t==="y"?n:e.coords.usrCoords[2],e.addConstraint([i,s])),this.board.update())},utf8_encode:function(e){var t=[],n,r;for(n=0;n<e.length;n++)r=e.charCodeAt(n),r<128?t.push(String.fromCharCode(r)):t.push("&#x"+r.toString(16)+";");return t.join("")},parse:function(e,t,n){var r=0,i=[],s=[],o=this,u,a=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Factorial","Floor","Log","Max","Min","Random","Round","Sin","Sqrt","Tan","Trunc","If","Deg","Rad","Dist"],f,l=JXG.Text.prototype.setText,c=e.replace(/\r\n/g,"\n").split("\n"),h,p,d=[];n||(this.code+=e+"\n"),JXG.Text.prototype.setText=JXG.Text.prototype.setTextJessieCode;try{JXG.exists(t)||(t=!1);for(h=0;h<c.length;h++)if(JXG.trim(c[h])[0]!=="/"||JXG.trim(c[h])[1]!=="/"){if(t)for(p=0;p<a.length;p++)f=new RegExp(a[p]+"\\(","g"),c[h]=c[h].replace(f,a[p].toLowerCase()+"(");d.push(c[h])}else d.push("");e=d.join("\n"),e=this.utf8_encode(e);if((r=this._parse(e,i,s))>0)for(h=0;h<r;h++)this.line=i[h].line,this._error("Parse error in line "+i[h].line+" near >"+e.substr(i[h].offset,30)+'<, expecting "'+s[h].join()+'"')}catch(v){throw JXG.Text.prototype.setText=l,v}JXG.Text.prototype.setText=l},snippet:function(e,t,n,r){var i,s,o,u;return i="jxg__tmp__intern_"+JXG.Util.genUUID().replace(/\-/g,""),JXG.exists(t)||(t=!0),JXG.exists(n)||(n=""),JXG.exists(r)||(r=!1),o=this.sstack[0][i],this.countLines=!1,s=i+" = "+(t?" function ("+n+") { return ":"")+e+(t?"; }":"")+";",this.parse(s,r,!0),u=this.sstack[0][i],JXG.exists(o)?this.sstack[0][i]=o:delete this.sstack[0][i],this.countLines=!0,u},replaceIDs:function(e){var t,n;e.replaced&&(n=this.board.objects[e.children[1].children[0].value],JXG.exists(n)&&JXG.exists(n)&&n.name!==""&&(e.type="node_var",e.value=n.name,e.children.length=0,delete e.replaced));if(e.children)for(t=e.children.length;t>0;t--)JXG.exists(e.children[t-1])&&(e.children[t-1]=this.replaceIDs(e.children[t-1]));return e},replaceNames:function(e){var t,n;n=e.value,e.type=="node_op"&&n=="op_lhs"&&e.children.length===1?this.isLHS=!0:e.type=="node_var"&&(this.isLHS?this.letvar(n,!0):!JXG.exists(this.getvar(n,!0))&&JXG.exists(this.board.elementsByName[n])&&(e=this.createReplacementNode(e)));if(e.children)for(t=e.children.length;t>0;t--)JXG.exists(e.children[t-1])&&(e.children[t-1]=this.replaceNames(e.children[t-1]));return e.type=="node_op"&&e.value=="op_lhs"&&e.children.length===1&&(this.isLHS=!1),e},createReplacementNode:function(e){var t=e.value,n=this.board.elementsByName[t];return e=this.createNode("node_op","op_execfun",this.createNode("node_var","$"),this.createNode("node_op","op_param",this.createNode("node_str",n.id))),e.replaced=!0,e},collectDependencies:function(e,t){var n,r,i;r=e.value,e.type=="node_var"&&(i=this.getvar(r),i&&i.visProp&&i.type&&i.elementClass&&i.id&&(t[i.id]=i)),e.type=="node_op"&&e.value=="op_execfun"&&e.children.length>1&&e.children[0].value=="$"&&e.children[1].children.length>0&&(i=e.children[1].children[0].value,t[i]=this.board.objects[i]);if(e.children)for(n=e.children.length;n>0;n--)JXG.exists(e.children[n-1])&&this.collectDependencies(e.children[n-1],t)},resolveProperty:function(e,t,n){return n=JXG.def(n,!1),e&&e.methodMap&&(t==="label"?(e=e.label,t="content"):JXG.exists(e.subs)&&JXG.exists(e.subs[t])?e=e.subs:JXG.exists(e.methodMap[t])?t=e.methodMap[t]:(e=e.visProp,t=t.toLowerCase())),JXG.exists(e)||this._error(e+" is not an object"),JXG.exists(e[t])||this._error("unknown property "+t),n&&typeof e[t]=="function"?function(){return e[t].apply(e,arguments)}:e[t]},execute:function(node){var ret,v,i,e,parents=[];ret=0;if(!node)return ret;this.line=node.line,this.col=node.col;switch(node.type){case"node_op":switch(node.value){case"op_none":node.children[0]&&this.execute(node.children[0]),node.children[1]&&(ret=this.execute(node.children[1]));break;case"op_assign":v=this.execute(node.children[0]),this.lhs[this.scope]=v[1],v[0].type&&v[0].elementClass&&v[0].methodMap&&v[1]==="label"&&this._error("Left-hand side of assignment is read-only."),v[0]!==this.sstack[this.scope]||JXG.isArray(v[0])&&typeof v[1]=="number"?this.setProp(v[0],v[1],this.execute(node.children[1])):this.letvar(v[1],this.execute(node.children[1])),this.lhs[this.scope]=0;break;case"op_noassign":ret=this.execute(node.children[0]);break;case"op_if":this.execute(node.children[0])&&(ret=this.execute(node.children[1]));break;case"op_if_else":this.execute(node.children[0])?ret=this.execute(node.children[1]):ret=this.execute(node.children[2]);break;case"op_while":while(this.execute(node.children[0]))this.execute(node.children[1]);break;case"op_do":do this.execute(node.children[0]);while(this.execute(node.children[1]));break;case"op_for":for(this.execute(node.children[0]);this.execute(node.children[1]);this.execute(node.children[2]))this.execute(node.children[3]);break;case"op_param":node.children[1]&&this.execute(node.children[1]),ret=node.children[0],this.pstack[this.pscope].push(ret),this.dpstack[this.pscope]&&this.dpstack[this.pscope].push({line:node.children[0].line,col:node.children[0].col});break;case"op_paramdef":node.children[1]&&this.execute(node.children[1]),ret=node.children[0],this.pstack[this.pscope].push(ret);break;case"op_proplst":node.children[0]&&this.execute(node.children[0]),node.children[1]&&this.execute(node.children[1]);break;case"op_proplst_val":this.propstack.push({}),this.propscope++,this.execute(node.children[0]),ret=this.propstack[this.propscope],this.propstack.pop(),this.propscope--;break;case"op_prop":this.propstack[this.propscope][node.children[0]]=this.execute(node.children[1]);break;case"op_array":var l;this.pstack.push([]),this.pscope++,this.execute(node.children[0]),ret=[],l=this.pstack[this.pscope].length;for(i=0;i<l;i++)ret.push(this.execute(this.pstack[this.pscope][i]));this.pstack.pop(),this.pscope--;break;case"op_extvalue":var undef;ret=this.execute(node.children[0]),i=this.execute(node.children[1]),typeof i=="number"&&Math.abs(Math.round(i)-i)<JXG.Math.eps?ret=ret[i]:ret=undef;break;case"op_return":if(this.scope!==0)return this.execute(node.children[0]);this._error("Unexpected return.");break;case"op_function":this.pstack.push([]),this.pscope++,this.execute(node.children[0]);if(this.board.options.jc.compile){this.sstack.push({}),this.scope++,this.isLHS=!1;for(i=0;i<this.pstack[this.pscope].length;i++)this.sstack[this.scope][this.pstack[this.pscope][i]]=this.pstack[this.pscope][i];this.replaceNames(node.children[1]),ret=function($jc$){var p=$jc$.pstack[$jc$.pscope].join(", "),str="var f = function ("+p+") {\n$jc$.sstack.push([]);\n$jc$.scope++;\nvar r = (function () {\n"+$jc$.compile(node.children[1],!0)+"})();\n$jc$.sstack.pop();\n$jc$.scope--;\nreturn r;\n}; f;";try{return eval(str)}catch(e){throw e}}(this),this.sstack.pop(),this.scope--}else ret=function(e,t){return function(){var n;t.sstack.push({}),t.scope++;for(n=0;n<e.length;n++)t.sstack[t.scope][e[n]]=arguments[n];return n=t.execute(node.children[1]),t.sstack.pop(),t.scope--,n}}(this.pstack[this.pscope],this);ret.node=node,ret.toJS=ret.toString,ret.toString=function(e){return function(){return e.compile(e.replaceIDs(JXG.deepCopy(node)))}}(this),ret.deps={},this.collectDependencies(node.children[1],ret.deps),this.pstack.pop(),this.pscope--;break;case"op_execfun":var fun,attr,sc;this.pstack.push([]),this.dpstack.push([]),this.pscope++,this.execute(node.children[1]);if(typeof node.children[2]!="undefined")if(node.children[3]){this.pstack.push([]),this.dpstack.push([]),this.pscope++,this.execute(node.children[2]),attr={};for(i=0;i<this.pstack[this.pscope].length;i++)attr=JXG.deepCopy(attr,this.execute(this.pstack[this.pscope][i]),!0);this.pscope--,this.pstack.pop(),this.dpstack.pop()}else attr=this.execute(node.children[2]);fun=this.execute(node.children[0]),fun&&fun.sc?sc=fun.sc:sc=this,!fun.creator&&typeof node.children[2]!="undefined"&&this._error("Unexpected value. Only element creators are allowed to have a value after the function call.");for(i=0;i<this.pstack[this.pscope].length;i++)parents[i]=this.execute(this.pstack[this.pscope][i]);if(typeof fun=="function"&&!fun.creator)ret=fun.apply(sc,parents);else if(typeof fun!="function"||!fun.creator)this._error("Function '"+fun+"' is undefined.");else{e=this.line;try{ret=fun(parents,attr),ret.jcLineStart=e,ret.jcLineEnd=node.line;for(i=e;i<=node.line;i++)this.lineToElement[i]=ret;ret.debugParents=this.dpstack[this.pscope]}catch(ex){this._error(ex.toString(),e)}}this.pstack.pop(),this.dpstack.pop(),this.pscope--;break;case"op_property":e=this.execute(node.children[0]),v=node.children[1],ret=this.resolveProperty(e,v,!1),JXG.exists(ret)&&(ret.sc=e);break;case"op_lhs":v=node.children[0],v.children&&v.type&&v.value&&(v=this.execute(v)),node.children.length===1?e=this.sstack[this.scope]:(e=this.execute(node.children[1]),e.type&&e.elementClass&&v.toLowerCase&&v.toLowerCase()!=="x"&&v.toLowerCase()!=="y"&&(v=v.toLowerCase())),ret=[e,v];break;case"op_use":var found=!1;for(var b in JXG.JSXGraph.boards)JXG.JSXGraph.boards[b].container===node.children[0].toString()&&(this.use(JXG.JSXGraph.boards[b]),found=!0);found||this._error("Board '"+node.children[0].toString()+"' not found!");break;case"op_delete":v=this.getvar(node.children[0]),typeof v=="object"&&JXG.exists(v.type)&&JXG.exists(v.elementClass)&&this.board.removeObject(v);break;case"op_equ":ret=this.execute(node.children[0])==this.execute(node.children[1]);break;case"op_neq":ret=this.execute(node.children[0])!=this.execute(node.children[1]);break;case"op_approx":ret=Math.abs(this.execute(node.children[0])-this.execute(node.children[1]))<JXG.Math.eps;break;case"op_grt":ret=this.execute(node.children[0])>this.execute(node.children[1]);break;case"op_lot":ret=this.execute(node.children[0])<this.execute(node.children[1]);break;case"op_gre":ret=this.execute(node.children[0])>=this.execute(node.children[1]);break;case"op_loe":ret=this.execute(node.children[0])<=this.execute(node.children[1]);break;case"op_or":ret=this.execute(node.children[0])||this.execute(node.children[1]);break;case"op_and":ret=this.execute(node.children[0])&&this.execute(node.children[1]);break;case"op_not":ret=!this.execute(node.children[0]);break;case"op_add":ret=JXG.Math.Statistics.add(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_sub":ret=JXG.Math.Statistics.subtract(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_div":ret=JXG.Math.Statistics.div(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_mod":ret=JXG.Math.Statistics.mod(this.execute(node.children[0]),this.execute(node.children[1]),!0);break;case"op_mul":ret=this.mul(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_exp":ret=Math.pow(this.execute(node.children[0]),this.execute(node.children[1]));break;case"op_neg":ret=this.execute(node.children[0])*-1}break;case"node_var":ret=this.getvar(node.value);break;case"node_const":ret=Number(node.value);break;case"node_const_bool":ret=node.value.toLowerCase()!=="false";break;case"node_str":ret=node.value}return ret},compile:function(e,t){var n,r,i,s;n="",JXG.exists(t)||(t=!1);if(!e)return n;switch(e.type){case"node_op":switch(e.value){case"op_none":e.children[0]&&(n=this.compile(e.children[0],t)),e.children[1]&&(n+=this.compile(e.children[1],t));break;case"op_assign":i=this.compile(e.children[0],t),t?JXG.isArray(i)?n="$jc$.setProp("+i[0]+", '"+i[1]+"', "+this.compile(e.children[1],t)+");\n":(this.isLocalVariable(i)!==this.scope&&(this.sstack[this.scope][i]=!0),n="$jc$.sstack["+this.scope+"]['"+i+"'] = "+this.compile(e.children[1],t)+";\n"):n=i+" = "+this.compile(e.children[1],t)+";\n";break;case"op_noassign":n=this.compile(e.children[0],t)+";\n";break;case"op_if":n=" if ("+this.compile(e.children[0],t)+") "+this.compile(e.children[1],t);break;case"op_if_else":n=" if ("+this.compile(e.children[0],t)+")"+this.compile(e.children[1],t),n+=" else "+this.compile(e.children[2],t);break;case"op_while":n=" while ("+this.compile(e.children[0],t)+") {\n"+this.compile(e.children[1],t)+"}\n";break;case"op_do":n=" do {\n"+this.compile(e.children[0],t)+"} while ("+this.compile(e.children[1],t)+");\n";break;case"op_for":n=" for ("+this.compile(e.children[0],t)+"; "+this.compile(e.children[1],t)+"; "+this.compile(e.children[2],t)+") {\n"+this.compile(e.children[3],t)+"\n}\n";break;case"op_param":e.children[1]&&(n=this.compile(e.children[1],t)+", "),n+=this.compile(e.children[0],t);break;case"op_paramdef":e.children[1]&&(n=this.compile(e.children[1],t)+", "),n+=e.children[0];break;case"op_proplst":e.children[0]&&(n=this.compile(e.children[0],t)+", "),n+=this.compile(e.children[1],t);break;case"op_prop":n=e.children[0]+": "+this.compile(e.children[1],t);break;case"op_proplst_val":n=this.compile(e.children[0],t);break;case"op_array":n="["+this.compile(e.children[0],t)+"]";break;case"op_extvalue":n=this.compile(e.children[0],t)+"["+this.compile(e.children[1],t)+"]";break;case"op_return":n=" return "+this.compile(e.children[0],t)+";\n";break;case"op_function":n=" function ("+this.compile(e.children[0],t)+") {\n"+this.compile(e.children[1],t)+"}";break;case"op_execfun":e.children[2]&&(i=this.compile(e.children[2],t),t&&(i="$jc$.mergeAttributes("+i+")")),e.children[0].withProps=!!e.children[2],n=this.compile(e.children[0],t)+"("+this.compile(e.children[1],t)+(e.children[2]&&t?", "+i:"")+")"+(e.children[2]&&!t?i:""),t&&e.children[0].value==="$"&&(n="$jc$.board.objects["+this.compile(e.children[1],t)+"]");break;case"op_property":t&&e.children[1]!=="X"&&e.children[1]!=="Y"?n="$jc$.resolveProperty("+this.compile(e.children[0],t)+", '"+e.children[1]+"', true)":n=this.compile(e.children[0],t)+"."+e.children[1];break;case"op_lhs":e.children.length===1?n=e.children[0]:e.children[2]==="dot"?t?n=[this.compile(e.children[1],t),e.children[0]]:n=this.compile(e.children[1],t)+"."+e.children[0]:e.children[2]==="bracket"&&(t?n=[this.compile(e.children[1],t),this.compile(e.children[0],t)]:n=this.compile(e.children[1],t)+"["+this.compile(e.children[0],t)+"]");break;case"op_use":t?n="$jc$.use(JXG.JSXGraph.boards['"+e.children[0]+"'])":n="use "+e.children[0]+";";break;case"op_delete":n="delete "+e.children[0];break;case"op_equ":n="("+this.compile(e.children[0],t)+" == "+this.compile(e.children[1],t)+")";break;case"op_neq":n="("+this.compile(e.children[0],t)+" != "+this.compile(e.children[1],t)+")";break;case"op_approx":n="("+this.compile(e.children[0],t)+" ~= "+this.compile(e.children[1],t)+")";break;case"op_grt":n="("+this.compile(e.children[0],t)+" > "+this.compile(e.children[1],t)+")";break;case"op_lot":n="("+this.compile(e.children[0],t)+" < "+this.compile(e.children[1],t)+")";break;case"op_gre":n="("+this.compile(e.children[0],t)+" >= "+this.compile(e.children[1],t)+")";break;case"op_loe":n="("+this.compile(e.children[0],t)+" <= "+this.compile(e.children[1],t)+")";break;case"op_or":n="("+this.compile(e.children[0],t)+" || "+this.compile(e.children[1],t)+")";break;case"op_and":n="("+this.compile(e.children[0],t)+" && "+this.compile(e.children[1],t)+")";break;case"op_not":n="!("+this.compile(e.children[0],t)+")";break;case"op_add":t?n="JXG.Math.Statistics.add("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+")":n="("+this.compile(e.children[0],t)+" + "+this.compile(e.children[1],t)+")";break;case"op_sub":t?n="JXG.Math.Statistics.subtract("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+")":n="("+this.compile(e.children[0],t)+" - "+this.compile(e.children[1],t)+")";break;case"op_div":t?n="JXG.Math.Statistics.div("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+")":n="("+this.compile(e.children[0],t)+" / "+this.compile(e.children[1],t)+")";break;case"op_mod":t?n="JXG.Math.mod("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+", true)":n="("+this.compile(e.children[0],t)+" % "+this.compile(e.children[1],t)+")";break;case"op_mul":t?n="$jc$.mul("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+")":n="("+this.compile(e.children[0],t)+" * "+this.compile(e.children[1],t)+")";break;case"op_exp":t?n="Math.pow("+this.compile(e.children[0],t)+", "+this.compile(e.children[1],t)+")":n="("+this.compile(e.children[0],t)+"^"+this.compile(e.children[1],t)+")";break;case"op_neg":n="(-"+this.compile(e.children[0],t)+")"}break;case"node_var":t?n=this.getvarJS(e.value,!1,e.withProps):n=e.value;break;case"node_const":n=e.value;break;case"node_const_bool":n=e.value;break;case"node_str":n="'"+e.value.replace(/'/g,"\\'")+"'"}return e.needsBrackets&&(n="{\n"+n+"}\n"),n},X:function(e){return e.X()},Y:function(e){return e.Y()},V:function(e){return e.Value()},L:function(e){return e.L()},dist:function(e,t){return(!JXG.exists(e)||!JXG.exists(e.Dist))&&this._error("Error: Can't calculate distance."),e.Dist(t)},mul:function(e,t){return JXG.isArray(e)*JXG.isArray(t)?JXG.Math.innerProduct(e,t,Math.min(e.length,t.length)):JXG.Math.Statistics.multiply(e,t)},use:function(e){this.board=e,this.builtIn.$board=e,this.builtIn.$board.src="$jc$.board"},findSymbol:function(e,t){var n,r;t=JXG.def(t,-1),t===-1&&(t=this.scope);for(n=t;n>=0;n--)for(r in this.sstack[n])if(this.sstack[n][r]===e)return[r,n];return[]},defineBuiltIn:function(){var e=this,t={PI:Math.PI,EULER:Math.E,X:e.X,Y:e.Y,V:e.V,L:e.L,dist:e.dist,rad:JXG.Math.Geometry.rad,deg:JXG.Math.Geometry.trueAngle,factorial:JXG.Math.factorial,trunc:JXG.trunc,$:e.getElementById,$board:e.board};return t.rad.sc=JXG.Math.Geometry,t.deg.sc=JXG.Math.Geometry,t.factorial.sc=JXG.Math,t.PI.src="Math.PI",t.EULER.src="Math.E",t.X.src="$jc$.X",t.Y.src="$jc$.Y",t.V.src="$jc$.V",t.L.src="$jc$.L",t.dist.src="$jc$.dist",t.rad.src="JXG.Math.Geometry.rad",t.deg.src="JXG.Math.Geometry.trueAngle",t.factorial.src="JXG.Math.factorial",t.trunc.src="JXG.trunc",t.$.src="(function (n) { return JXG.getRef($jc$.board, n); })",t.$board&&(t.$board.src="$jc$.board"),t},_debug:function(e){typeof console!="undefined"?console.log(e):document&&document.getElementById("debug")!==null&&(document.getElementById("debug").innerHTML+=e+"<br />")},_error:function(e){var t=new Error("Error("+this.line+"): "+e);throw t.line=this.line,t},_warn:function(e){typeof console!="undefined"?console.log("Warning("+this.line+"): "+e):document&&document.getElementById(this.warnLog)!==null&&(document.getElementById(this.warnLog).innerHTML+="Warning("+this.line+"): "+e+"<br />")},_log:function(e){typeof window=="undefined"&&typeof self!="undefined"&&self.postMessage?self.postMessage({type:"log",msg:"Log: "+e.toString()}):console.log("Log: ",arguments)}}),JXG.extend(JXG.JessieCode.prototype,{_lex:function(e){var t,n=-1,r=0,i=0,s,o;for(;;){t=0,n=-1,r=0,i=0,s=e.offset+1+(r-i);do{s--,t=0,n=-2,i=s;if(e.src.length<=i)return 68;do{o=e.src.charCodeAt(s);switch(t){case 0:o>=9&&o<=10||o==13||o==32?t=1:o==33?t=2:o==35?t=3:o==36||o>=65&&o<=67||o>=71&&o<=72||o>=74&&o<=77||o>=79&&o<=81||o==83||o==86||o>=88&&o<=90||o==95||o>=97&&o<=99||o>=103&&o<=104||o>=106&&o<=113||o==115||o==118||o>=120&&o<=122?t=4:o==37?t=5:o==40?t=6:o==41?t=7:o==42?t=8:o==43?t=9:o==44?t=10:o==45?t=11:o==46?t=12:o==47?t=13:o>=48&&o<=57?t=14:o==58?t=15:o==59?t=16:o==60?t=17:o==61?t=18:o==62?t=19:o==91?t=20:o==93?t=21:o==94?t=22:o==123?t=23:o==124?t=24:o==125?t=25:o==38?t=49:o==68||o==100?t=50:o==39?t=52:o==73||o==105?t=53:o==126?t=54:o==70||o==102?t=66:o==78?t=67:o==85||o==117?t=68:o==69||o==101?t=76:o==84||o==116?t=77:o==87||o==119?t=83:o==82||o==114?t=87:t=-1;break;case 1:t=-1,n=2,r=s;break;case 2:o==61?t=26:t=-1,n=31,r=s;break;case 3:t=-1,n=41,r=s;break;case 4:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=46,r=s;break;case 5:t=-1,n=35,r=s;break;case 6:t=-1,n=38,r=s;break;case 7:t=-1,n=39,r=s;break;case 8:t=-1,n=36,r=s;break;case 9:t=-1,n=32,r=s;break;case 10:t=-1,n=40,r=s;break;case 11:t=-1,n=33,r=s;break;case 12:o>=48&&o<=57?t=29:t=-1,n=44,r=s;break;case 13:t=-1,n=34,r=s;break;case 14:o>=48&&o<=57?t=14:o==46?t=29:t=-1,n=48,r=s;break;case 15:t=-1,n=42,r=s;break;case 16:t=-1,n=20,r=s;break;case 17:o==60?t=30:o==61?t=31:t=-1,n=28,r=s;break;case 18:o==61?t=32:t=-1,n=21,r=s;break;case 19:o==61?t=33:o==62?t=34:t=-1,n=27,r=s;break;case 20:t=-1,n=16,r=s;break;case 21:t=-1,n=17,r=s;break;case 22:t=-1,n=37,r=s;break;case 23:t=-1,n=18,r=s;break;case 24:o==124?t=37:t=-1,n=43,r=s;break;case 25:t=-1,n=19,r=s;break;case 26:t=-1,n=23,r=s;break;case 27:t=-1,n=30,r=s;break;case 28:t=-1,n=47,r=s;break;case 29:o>=48&&o<=57?t=29:t=-1,n=49,r=s;break;case 30:t=-1,n=14,r=s;break;case 31:t=-1,n=25,r=s;break;case 32:t=-1,n=22,r=s;break;case 33:t=-1,n=26,r=s;break;case 34:t=-1,n=15,r=s;break;case 35:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=6,r=s;break;case 36:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=3,r=s;break;case 37:t=-1,n=29,r=s;break;case 38:t=-1,n=24,r=s;break;case 39:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=7,r=s;break;case 40:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=45,r=s;break;case 41:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=9,r=s;break;case 42:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=4,r=s;break;case 43:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=12,r=s;break;case 44:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=13,r=s;break;case 45:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=5,r=s;break;case 46:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=11,r=s;break;case 47:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=10,r=s;break;case 48:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=97&&o<=122?t=4:t=-1,n=8,r=s;break;case 49:o==38?t=27:t=-1;break;case 50:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=78||o>=80&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=110||o>=112&&o<=122?t=4:o==79||o==111?t=35:o==69||o==101?t=84:t=-1,n=46,r=s;break;case 51:o==39?t=28:o>=0&&o<=38||o>=40&&o<=91||o>=93&&o<=254?t=52:o==92?t=56:t=-1,n=47,r=s;break;case 52:o==39?t=28:o>=0&&o<=38||o>=40&&o<=91||o>=93&&o<=254?t=52:o==92?t=56:t=-1;break;case 53:o>=48&&o<=57||o>=65&&o<=69||o>=71&&o<=90||o==95||o>=97&&o<=101||o>=103&&o<=122?t=4:o==70||o==102?t=36:t=-1,n=46,r=s;break;case 54:o==61?t=38:t=-1;break;case 55:o>=48&&o<=57||o>=65&&o<=81||o>=83&&o<=90||o==95||o>=97&&o<=113||o>=115&&o<=122?t=4:o==82||o==114?t=39:t=-1,n=46,r=s;break;case 56:o==39?t=51:o>=0&&o<=38||o>=40&&o<=91||o>=93&&o<=254?t=52:o==92?t=56:t=-1;break;case 57:o>=48&&o<=57||o>=65&&o<=77||o>=79&&o<=90||o==95||o>=97&&o<=122?t=4:o==78?t=40:t=-1,n=46,r=s;break;case 58:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=41:t=-1,n=46,r=s;break;case 59:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=42:t=-1,n=46,r=s;break;case 60:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=43:t=-1,n=46,r=s;break;case 61:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=44:t=-1,n=46,r=s;break;case 62:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=45:t=-1,n=46,r=s;break;case 63:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=46:t=-1,n=46,r=s;break;case 64:o>=48&&o<=57||o>=65&&o<=77||o>=79&&o<=90||o==95||o>=97&&o<=109||o>=111&&o<=122?t=4:o==78||o==110?t=47:t=-1,n=46,r=s;break;case 65:o>=48&&o<=57||o>=65&&o<=77||o>=79&&o<=90||o==95||o>=97&&o<=109||o>=111&&o<=122?t=4:o==78||o==110?t=48:t=-1,n=46,r=s;break;case 66:o>=48&&o<=57||o>=66&&o<=78||o>=80&&o<=84||o>=86&&o<=90||o==95||o>=98&&o<=110||o>=112&&o<=116||o>=118&&o<=122?t=4:o==79||o==111?t=55:o==65||o==97?t=78:o==85||o==117?t=89:t=-1,n=46,r=s;break;case 67:o>=48&&o<=57||o>=65&&o<=90||o==95||o>=98&&o<=122?t=4:o==97?t=57:t=-1,n=46,r=s;break;case 68:o>=48&&o<=57||o>=65&&o<=82||o>=84&&o<=90||o==95||o>=97&&o<=114||o>=116&&o<=122?t=4:o==83||o==115?t=58:t=-1,n=46,r=s;break;case 69:o>=48&&o<=57||o>=65&&o<=82||o>=84&&o<=90||o==95||o>=97&&o<=114||o>=116&&o<=122?t=4:o==83||o==115?t=59:t=-1,n=46,r=s;break;case 70:o>=48&&o<=57||o>=65&&o<=84||o>=86&&o<=90||o==95||o>=97&&o<=116||o>=118&&o<=122?t=4:o==85||o==117?t=60:t=-1,n=46,r=s;break;case 71:o>=48&&o<=57||o>=65&&o<=82||o>=84&&o<=90||o==95||o>=97&&o<=114||o>=116&&o<=122?t=4:o==83||o==115?t=61:t=-1,n=46,r=s;break;case 72:o>=48&&o<=57||o>=65&&o<=75||o>=77&&o<=90||o==95||o>=97&&o<=107||o>=109&&o<=122?t=4:o==76||o==108?t=62:t=-1,n=46,r=s;break;case 73:o>=48&&o<=57||o>=65&&o<=83||o>=85&&o<=90||o==95||o>=97&&o<=115||o>=117&&o<=122?t=4:o==84||o==116?t=63:t=-1,n=46,r=s;break;case 74:o>=48&&o<=57||o>=65&&o<=81||o>=83&&o<=90||o==95||o>=97&&o<=113||o>=115&&o<=122?t=4:o==82||o==114?t=64:t=-1,n=46,r=s;break;case 75:o>=48&&o<=57||o>=65&&o<=78||o>=80&&o<=90||o==95||o>=97&&o<=110||o>=112&&o<=122?t=4:o==79||o==111?t=65:t=-1,n=46,r=s;break;case 76:o>=48&&o<=57||o>=65&&o<=75||o>=77&&o<=90||o==95||o>=97&&o<=107||o>=109&&o<=122?t=4:o==76||o==108?t=69:t=-1,n=46,r=s;break;case 77:o>=48&&o<=57||o>=65&&o<=81||o>=83&&o<=90||o==95||o>=97&&o<=113||o>=115&&o<=122?t=4:o==82||o==114?t=70:t=-1,n=46,r=s;break;case 78:o>=48&&o<=57||o>=65&&o<=75||o>=77&&o<=90||o==95||o>=97&&o<=107||o>=109&&o<=122?t=4:o==76||o==108?t=71:t=-1,n=46,r=s;break;case 79:o>=48&&o<=57||o>=65&&o<=72||o>=74&&o<=90||o==95||o>=97&&o<=104||o>=106&&o<=122?t=4:o==73||o==105?t=72:t=-1,n=46,r=s;break;case 80:o>=48&&o<=57||o>=65&&o<=68||o>=70&&o<=90||o==95||o>=97&&o<=100||o>=102&&o<=122?t=4:o==69||o==101?t=73:t=-1,n=46,r=s;break;case 81:o>=48&&o<=57||o>=65&&o<=84||o>=86&&o<=90||o==95||o>=97&&o<=116||o>=118&&o<=122?t=4:o==85||o==117?t=74:t=-1,n=46,r=s;break;case 82:o>=48&&o<=57||o>=65&&o<=72||o>=74&&o<=90||o==95||o>=97&&o<=104||o>=106&&o<=122?t=4:o==73||o==105?t=75:t=-1,n=46,r=s;break;case 83:o>=48&&o<=57||o>=65&&o<=71||o>=73&&o<=90||o==95||o>=97&&o<=103||o>=105&&o<=122?t=4:o==72||o==104?t=79:t=-1,n=46,r=s;break;case 84:o>=48&&o<=57||o>=65&&o<=75||o>=77&&o<=90||o==95||o>=97&&o<=107||o>=109&&o<=122?t=4:o==76||o==108?t=80:t=-1,n=46,r=s;break;case 85:o>=48&&o<=57||o>=65&&o<=83||o>=85&&o<=90||o==95||o>=97&&o<=115||o>=117&&o<=122?t=4:o==84||o==116?t=81:t=-1,n=46,r=s;break;case 86:o>=48&&o<=57||o>=65&&o<=83||o>=85&&o<=90||o==95||o>=97&&o<=115||o>=117&&o<=122?t=4:o==84||o==116?t=82:t=-1,n=46,r=s;break;case 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",i=t,s=5e3,o="",u,a,f=e.visProp.curvetype!=="plot",l;if(e.numberPoints<=0)return"";l=Math.min(e.points.length,e.numberPoints);if(e.bezierDegree==1){f&&e.board.options.curve.RDPsmoothing&&(e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,.5));for(u=0;u<l;u++)a=e.points[u].scrCoords,isNaN(a[1])||isNaN(a[2])?i=t:(a[1]>s?a[1]=s:a[1]<-s&&(a[1]=-s),a[2]>s?a[2]=s:a[2]<-s&&(a[2]=-s),o+=i+a[1]+" "+a[2],i=n)}else if(e.bezierDegree==3){u=0;while(u<l)a=e.points[u].scrCoords,isNaN(a[1])||isNaN(a[2])?i=t:(o+=i+a[1]+" "+a[2],i==r&&(u++,a=e.points[u].scrCoords,o+=" "+a[1]+" "+a[2],u++,a=e.points[u].scrCoords,o+=" "+a[1]+" "+a[2]),i=r),u++}return o},updatePathStringBezierPrim:function(e){var t=" M ",n=" C 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t=e.rendNode,n,r,i,s,o,u,a,f,l;r=JXG.evaluate(e.visProp.fillopacity),r=r>0?r:0,n=JXG.evaluate(e.visProp.fillcolor),e.visProp.gradient==="linear"?(i=this.createPrim("linearGradient",e.id+"_gradient"),u="0%",a="100%",f="0%",l="0%",i.setAttributeNS(null,"x1",u),i.setAttributeNS(null,"x2",a),i.setAttributeNS(null,"y1",f),i.setAttributeNS(null,"y2",l),s=this.createPrim("stop",e.id+"_gradient1"),s.setAttributeNS(null,"offset","0%"),s.setAttributeNS(null,"style","stop-color:"+n+";stop-opacity:"+r),o=this.createPrim("stop",e.id+"_gradient2"),o.setAttributeNS(null,"offset","100%"),o.setAttributeNS(null,"style","stop-color:"+e.visProp.gradientsecondcolor+";stop-opacity:"+e.visProp.gradientsecondopacity),i.appendChild(s),i.appendChild(o),this.defs.appendChild(i),t.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+e.id+"_gradient)"),e.gradNode1=s,e.gradNode2=o):e.visProp.gradient==="radial"?(i=this.createPrim("radialGradient",e.id+"_gradient"),i.setAttributeNS(null,"cx","50%"),i.setAttributeNS(null,"cy","50%"),i.setAttributeNS(null,"r","50%"),i.setAttributeNS(null,"fx",e.visProp.gradientpositionx*100+"%"),i.setAttributeNS(null,"fy",e.visProp.gradientpositiony*100+"%"),s=this.createPrim("stop",e.id+"_gradient1"),s.setAttributeNS(null,"offset","0%"),s.setAttributeNS(null,"style","stop-color:"+e.visProp.gradientsecondcolor+";stop-opacity:"+e.visProp.gradientsecondopacity),o=this.createPrim("stop",e.id+"_gradient2"),o.setAttributeNS(null,"offset","100%"),o.setAttributeNS(null,"style","stop-color:"+n+";stop-opacity:"+r),i.appendChild(s),i.appendChild(o),this.defs.appendChild(i),t.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+e.id+"_gradient)"),e.gradNode1=s,e.gradNode2=o):t.removeAttributeNS(null,"style")},updateGradient:function(e){var t=e.gradNode1,n=e.gradNode2,r,i;if(!JXG.exists(t)||!JXG.exists(n))return;i=JXG.evaluate(e.visProp.fillopacity),i=i>0?i:0,r=JXG.evaluate(e.visProp.fillcolor),e.visProp.gradient==="linear"?(t.setAttributeNS(null,"style","stop-color:"+r+";stop-opacity:"+i),n.setAttributeNS(null,"style","stop-color:"+e.visProp.gradientsecondcolor+";stop-opacity:"+e.visProp.gradientsecondopacity)):e.visProp.gradient==="radial"&&(t.setAttributeNS(null,"style","stop-color:"+e.visProp.gradientsecondcolor+";stop-opacity:"+e.visProp.gradientsecondopacity),n.setAttributeNS(null,"style","stop-color:"+r+";stop-opacity:"+i))},setObjectFillColor:function(e,t,n){var r,i=JXG.evaluate(t),s,o,u=JXG.evaluate(n),a;u=u>0?u:0;if(e.visPropOld.fillcolor===i&&e.visPropOld.fillopacity===u)return;JXG.exists(i)&&i!==!1&&(i.length!=9?(s=i,a=u):(o=JXG.rgba2rgbo(i),s=o[0],a=u*o[1]),r=e.rendNode,s!="none"?r.setAttributeNS(null,"fill",s):a=0,e.type===JXG.OBJECT_TYPE_IMAGE?r.setAttributeNS(null,"opacity",a):r.setAttributeNS(null,"fill-opacity",a),JXG.exists(e.visProp.gradient)&&this.updateGradient(e)),e.visPropOld.fillcolor=i,e.visPropOld.fillopacity=u},setObjectStrokeColor:function(e,t,n){var r=JXG.evaluate(t),i,s,o=JXG.evaluate(n),u,a;o=o>0?o:0;if(e.visPropOld.strokecolor===r&&e.visPropOld.strokeopacity===o)return;if(JXG.exists(r)&&r!==!1){r.length!=9?(i=r,u=o):(s=JXG.rgba2rgbo(r),i=s[0],u=o*s[1]),a=e.rendNode,e.type===JXG.OBJECT_TYPE_TEXT?e.visProp.display==="html"?(a.style.color=i,a.style.opacity=u):(a.setAttributeNS(null,"style","fill:"+i),a.setAttributeNS(null,"style","fill-opacity:"+u)):(a.setAttributeNS(null,"stroke",i),a.setAttributeNS(null,"stroke-opacity",u));if(e.type===JXG.OBJECT_TYPE_ARROW)this._setArrowAtts(e.rendNodeTriangle,i,u,e.visProp.strokewidth);else if(e.elementClass===JXG.OBJECT_CLASS_CURVE||e.elementClass===JXG.OBJECT_CLASS_LINE)e.visProp.firstarrow&&this._setArrowAtts(e.rendNodeTriangleStart,i,u,e.visProp.strokewidth),e.visProp.lastarrow&&this._setArrowAtts(e.rendNodeTriangleEnd,i,u,e.visProp.strokewidth)}e.visPropOld.strokecolor=r,e.visPropOld.strokeopacity=o},setObjectStrokeWidth:function(e,t){var n=JXG.evaluate(t),r;if(e.visPropOld.strokewidth===n)return;r=e.rendNode,this.setPropertyPrim(r,"stroked","true");if(JXG.exists(n)){this.setPropertyPrim(r,"stroke-width",n+"px");if(e.type===JXG.OBJECT_TYPE_ARROW)this._setArrowAtts(e.rendNodeTriangle,e.visProp.strokecolor,e.visProp.strokeopacity,n);else if(e.elementClass===JXG.OBJECT_CLASS_CURVE||e.elementClass===JXG.OBJECT_CLASS_LINE)e.visProp.firstarrow&&this._setArrowAtts(e.rendNodeTriangleStart,e.visProp.strokecolor,e.visProp.strokeopacity,n),e.visProp.lastarrow&&this._setArrowAtts(e.rendNodeTriangleEnd,e.visProp.strokecolor,e.visProp.strokeopacity,n)}e.visPropOld.strokewidth=n},setShadow:function(e){if(e.visPropOld.shadow===e.visProp.shadow)return;JXG.exists(e.rendNode)&&(e.visProp.shadow?e.rendNode.setAttributeNS(null,"filter","url(#"+this.container.id+"_"+"f1)"):e.rendNode.removeAttributeNS(null,"filter")),e.visPropOld.shadow=e.visProp.shadow},suspendRedraw:function(){},unsuspendRedraw:function(){},resize:function(e,t){this.svgRoot.style.width=parseFloat(e)+"px",this.svgRoot.style.height=parseFloat(t)+"px"}}),JXG.VMLRenderer=function(e){this.type="vml",this.container=e,this.container.style.overflow="hidden",this.container.onselectstart=function(){return!1},this.resolution=10,JXG.exists(JXG.vmlStylesheet)||(e.ownerDocument.namespaces.add("jxgvml","urn:schemas-microsoft-com:vml"),JXG.vmlStylesheet=this.container.ownerDocument.createStyleSheet(),JXG.vmlStylesheet.addRule(".jxgvml","behavior:url(#default#VML)"));try{!e.ownerDocument.namespaces.jxgvml&&e.ownerDocument.namespaces.add("jxgvml","urn:schemas-microsoft-com:vml"),this.createNode=function(t){return e.ownerDocument.createElement("<jxgvml:"+t+' class="jxgvml">')}}catch(t){this.createNode=function(t){return e.ownerDocument.createElement("<"+t+' xmlns="urn:schemas-microsoft.com:vml" class="jxgvml">')}}this.dashArray=["Solid","1 1","ShortDash","Dash","LongDash","ShortDashDot","LongDashDot"]},JXG.VMLRenderer.prototype=new JXG.AbstractRenderer,JXG.extend(JXG.VMLRenderer.prototype,{_setAttr:function(e,t,n,r){try{document.documentMode===8?e[t]=n:e.setAttribute(t,n,r)}catch(i){JXG.debug("_setAttr: "+t+" "+n+"<br>\n")}},updateTicks:function(e,t,n,r,i){var s=[],o,u,a,f,l=this.resolution;u=e.ticks.length;for(o=0;o<u;o++)a=e.ticks[o],x=a[0],y=a[1],typeof x[0]!="undefined"&&typeof x[1]!="undefined"&&s.push(" m "+Math.round(l*x[0])+", "+Math.round(l*y[0])+" l "+Math.round(l*x[1])+", "+Math.round(l*y[1])+" 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30)",r=document.createTextNode(e),n.appendChild(r),this.appendChildPrim(n,0)},drawInternalText:function(e){var t;return t=this.createNode("textbox"),t.style.position="absolute",e.rendNodeText=document.createTextNode(""),t.appendChild(e.rendNodeText),this.appendChildPrim(t,9),t},updateInternalText:function(e){var t=e.plaintext;isNaN(e.coords.scrCoords[1]+e.coords.scrCoords[2])||(e.visProp.anchorx==="right"?e.rendNode.style.right=parseInt(e.board.canvasWidth-e.coords.scrCoords[1])+"px":e.visProp.anchorx==="middle"?e.rendNode.style.left=parseInt(e.coords.scrCoords[1]-.5*e.size[0])+"px":e.rendNode.style.left=parseInt(e.coords.scrCoords[1])+"px",e.rendNode.style.top=parseInt(e.coords.scrCoords[2]-e.visProp.fontsize+this.vOffsetText)+"px",e.visProp.anchory==="top"?e.rendNode.style.top=parseInt(e.coords.scrCoords[2]+this.vOffsetText)+"px":e.visProp.anchory==="middle"?e.rendNode.style.top=parseInt(e.coords.scrCoords[2]-.5*e.size[1]+this.vOffsetText)+"px":e.rendNode.style.top=parseInt(e.coords.scrCoords[2]-e.size[1]+this.vOffsetText)+"px"),e.htmlStr!==t&&(e.rendNodeText.data=t,e.htmlStr=t),this.transformImage(e,e.transformations)},drawImage:function(e){var t;t=this.container.ownerDocument.createElement("img"),t.style.position="absolute",this._setAttr(t,"id",this.container.id+"_"+e.id),this.container.appendChild(t),this.appendChildPrim(t,e.visProp.layer),t.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand')",e.rendNode=t,this.updateImage(e)},transformImage:function(e,t){var n=e.rendNode,r,i=[],s,o=t.length,u,a,f,l,c,h;e.type===JXG.OBJECT_TYPE_TEXT&&e.updateSize();if(o>0){h=e.rendNode.style.filter.toString(),h.match(/DXImageTransform/)||(n.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand') 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t=JXG.evaluate(e.url);this._setAttr(e.rendNode,"src",t)},appendChildPrim:function(e,t){JXG.exists(t)||(t=0),e.style.zIndex=t,this.container.appendChild(e)},appendNodesToElement:function(e,t){if(t==="shape"||t==="path"||t==="polygon")e.rendNodePath=this.getElementById(e.id+"_path");e.rendNodeFill=this.getElementById(e.id+"_fill"),e.rendNodeStroke=this.getElementById(e.id+"_stroke"),e.rendNodeShadow=this.getElementById(e.id+"_shadow"),e.rendNode=this.getElementById(e.id)},createPrim:function(e,t){var n,r=this.createNode("fill"),i=this.createNode("stroke"),s=this.createNode("shadow"),o;return this._setAttr(r,"id",this.container.id+"_"+t+"_fill"),this._setAttr(i,"id",this.container.id+"_"+t+"_stroke"),this._setAttr(s,"id",this.container.id+"_"+t+"_shadow"),e==="circle"||e==="ellipse"?(n=this.createNode("oval"),n.appendChild(r),n.appendChild(i),n.appendChild(s)):e==="polygon"||e==="path"||e==="shape"||e==="line"?(n=this.createNode("shape"),n.appendChild(r),n.appendChild(i),n.appendChild(s),o=this.createNode("path"),this._setAttr(o,"id",this.container.id+"_"+t+"_path"),n.appendChild(o)):(n=this.createNode(e),n.appendChild(r),n.appendChild(i),n.appendChild(s)),n.style.position="absolute",n.style.left="0px",n.style.top="0px",this._setAttr(n,"id",this.container.id+"_"+t),n},remove:function(e){JXG.exists(e)&&e.removeNode(!0)},makeArrows:function(e){var t;if(e.visPropOld.firstarrow===e.visProp.firstarrow&&e.visPropOld.lastarrow===e.visProp.lastarrow)return;e.visProp.firstarrow?(t=e.rendNodeStroke,this._setAttr(t,"startarrow","block"),this._setAttr(t,"startarrowlength","long")):(t=e.rendNodeStroke,JXG.exists(t)&&this._setAttr(t,"startarrow","none")),e.visProp.lastarrow?(t=e.rendNodeStroke,this._setAttr(t,"id",this.container.id+"_"+e.id+"stroke"),this._setAttr(t,"endarrow","block"),this._setAttr(t,"endarrowlength","long")):(t=e.rendNodeStroke,JXG.exists(t)&&this._setAttr(t,"endarrow","none")),e.visPropOld.firstarrow=e.visProp.firstarrow,e.visPropOld.lastarrow=e.visProp.lastarrow},updateEllipsePrim:function(e,t,n,r,i){e.style.left=parseInt(t-r)+"px",e.style.top=parseInt(n-i)+"px",e.style.width=parseInt(Math.abs(r)*2)+"px",e.style.height=parseInt(Math.abs(i)*2)+"px"},updateLinePrim:function(e,t,n,r,i,s){var o,u=this.resolution;isNaN(t+n+r+i)||(o=["m ",parseInt(u*t),", ",parseInt(u*n)," l ",parseInt(u*r),", 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",parseInt(i*s[1]),",",parseInt(i*s[2])," l "].join(""));for(n=1;n<r-1;n++){if(!t.vertices[n].isReal){this.updatePathPrim(e,"",t.board);return}s=t.vertices[n].coords.scrCoords;if(isNaN(s[1]+s[2]))return;o.push(parseInt(i*s[1])+","+parseInt(i*s[2])),n<r-2&&o.push(", ")}o.push(" x e"),this.updatePathPrim(e,o,t.board)},updateRectPrim:function(e,t,n,r,i){e.style.left=parseInt(t)+"px",e.style.top=parseInt(n)+"px",r>=0&&(e.style.width=r+"px"),i>=0&&(e.style.height=i+"px")},setPropertyPrim:function(e,t,n){var r="",i;switch(t){case"stroke":r="strokecolor";break;case"stroke-width":r="strokeweight";break;case"stroke-dasharray":r="dashstyle"}r!==""&&(i=JXG.evaluate(n),this._setAttr(e,r,i))},show:function(e){e&&e.rendNode&&(e.rendNode.style.visibility="inherit")},hide:function(e){e&&e.rendNode&&(e.rendNode.style.visibility="hidden")},setDashStyle:function(e,t){var n;t.dash>=0&&(n=e.rendNodeStroke,this._setAttr(n,"dashstyle",this.dashArray[t.dash]))},setGradient:function(e){var t=e.rendNodeFill;e.visProp.gradient==="linear"?(this._setAttr(t,"type","gradient"),this._setAttr(t,"color2",e.visProp.gradientsecondcolor),this._setAttr(t,"opacity2",e.visProp.gradientsecondopacity),this._setAttr(t,"angle",e.visProp.gradientangle)):e.visProp.gradient==="radial"?(this._setAttr(t,"type","gradientradial"),this._setAttr(t,"color2",e.visProp.gradientsecondcolor),this._setAttr(t,"opacity2",e.visProp.gradientsecondopacity),this._setAttr(t,"focusposition",e.visProp.gradientpositionx*100+"%,"+e.visProp.gradientpositiony*100+"%"),this._setAttr(t,"focussize","0,0")):this._setAttr(t,"type","solid")},setObjectFillColor:function(e,t,n){var r=JXG.evaluate(t),i,s,o=JXG.evaluate(n),u,a=e.rendNode,f;o=o>0?o:0;if(e.visPropOld.fillcolor===r&&e.visPropOld.fillopacity===o)return;JXG.exists(r)&&r!==!1&&(r.length!=9?(i=r,u=o):(s=JXG.rgba2rgbo(r),i=s[0],u=o*s[1]),i==="none"||i===!1?this._setAttr(e.rendNode,"filled","false"):(this._setAttr(e.rendNode,"filled","true"),this._setAttr(e.rendNode,"fillcolor",i),JXG.exists(u)&&e.rendNodeFill&&this._setAttr(e.rendNodeFill,"opacity",u*100+"%")),e.type===JXG.OBJECT_TYPE_IMAGE&&(f=e.rendNode.style.filter.toString(),f.match(/alpha/)?e.rendNode.style.filter=f.replace(/alpha\(opacity *= *[0-9\.]+\)/,"alpha(opacity = "+u*100+")"):e.rendNode.style.filter+=" alpha(opacity = "+u*100+")")),e.visPropOld.fillcolor=r,e.visPropOld.fillopacity=o},setObjectStrokeColor:function(e,t,n){var r=JXG.evaluate(t),i,s,o=JXG.evaluate(n),u,a=e.rendNode,f;o=o>0?o:0;if(e.visPropOld.strokecolor===r&&e.visPropOld.strokeopacity===o)return;JXG.exists(r)&&r!==!1&&(r.length!=9?(i=r,u=o):(s=JXG.rgba2rgbo(r),i=s[0],u=o*s[1]),e.type===JXG.OBJECT_TYPE_TEXT?(u=Math.round(u*100),a.style.filter=" alpha(opacity = "+u+")",a.style.color=i):(i!==!1&&(this._setAttr(a,"stroked","true"),this._setAttr(a,"strokecolor",i)),f=e.rendNodeStroke,JXG.exists(u)&&e.type!==JXG.OBJECT_TYPE_IMAGE&&this._setAttr(f,"opacity",u*100+"%"))),e.visPropOld.strokecolor=r,e.visPropOld.strokeopacity=o},setObjectStrokeWidth:function(e,t){var n=JXG.evaluate(t),r;if(e.visPropOld.strokewidth===n)return;r=e.rendNode,this.setPropertyPrim(r,"stroked","true"),JXG.exists(n)&&this.setPropertyPrim(r,"stroke-width",n),e.visPropOld.strokewidth=n},setShadow:function(e){var t=e.rendNodeShadow;if(!t||e.visPropOld.shadow===e.visProp.shadow)return;e.visProp.shadow?(this._setAttr(t,"On","True"),this._setAttr(t,"Offset","3pt,3pt"),this._setAttr(t,"Opacity","60%"),this._setAttr(t,"Color","#aaaaaa")):this._setAttr(t,"On","False"),e.visPropOld.shadow=e.visProp.shadow},suspendRedraw:function(){this.container.style.display="none"},unsuspendRedraw:function(){this.container.style.display=""}}),JXG.CanvasRenderer=function(e){var t;this.type="canvas",this.canvasRoot=null,this.suspendHandle=null,this.canvasId=JXG.Util.genUUID(),this.canvasNamespace=null,typeof document!="undefined"?(this.container=e,this.container.style.MozUserSelect="none",this.container.style.overflow="hidden",this.container.style.position===""&&(this.container.style.position="relative"),this.container.innerHTML=['<canvas id="',this.canvasId,'" width="',JXG.getStyle(this.container,"width"),'" 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r},_setColor:function(e,t,n){var r=!0,i=!1,s=e.visProp,o,u,a,f,l,c;t=t||"stroke",n=n||t;if(!JXG.exists(e.board)||!JXG.exists(e.board.highlightedObjects))i=!0;return!i&&JXG.exists(e.board.highlightedObjects[e.id])?o="highlight":o="",u=JXG.evaluate(s[o+t+"color"]),u!=="none"&&u!==!1?(l=JXG.evaluate(s[o+t+"opacity"]),l=l>0?l:0,u.length!=9?(f=u,c=l):(a=JXG.rgba2rgbo(u),f=a[0],c=l*a[1]),this.context.globalAlpha=c,this.context[n+"Style"]=f):r=!1,t==="stroke"&&(this.context.lineWidth=parseFloat(s.strokewidth)),r},_stroke:function(e){var t=this.context;t.save(),e.visProp.dash>0?t.setLineDash&&t.setLineDash(this.dashArray[e.visProp.dash]):this.context.lineDashArray=[],this._setColor(e,"stroke")&&t.stroke(),t.restore()},_translateShape:function(e,t,n){var r,i=[],s=e.length;if(s<=0)return e;for(r=0;r<s;r++)i.push([e[r][0]+t,e[r][1]+n]);return i},drawPoint:function(e){var t=e.visProp.face,n=e.visProp.size,r=e.coords.scrCoords,i=n*Math.sqrt(3)*.5,s=n*.5,o=parseFloat(e.visProp.strokewidth)/2,u=this.context;switch(t){case"cross":case"x":u.beginPath(),u.moveTo(r[1]-n,r[2]-n),u.lineTo(r[1]+n,r[2]+n),u.moveTo(r[1]+n,r[2]-n),u.lineTo(r[1]-n,r[2]+n),u.closePath(),this._stroke(e);break;case"circle":case"o":u.beginPath(),u.arc(r[1],r[2],n+1+o,0,2*Math.PI,!1),u.closePath(),this._fill(e),this._stroke(e);break;case"square":case"[]":if(n<=0)break;u.save(),this._setColor(e,"stroke","fill")&&u.fillRect(r[1]-n-o,r[2]-n-o,n*2+3*o,n*2+3*o),u.restore(),u.save(),this._setColor(e,"fill"),u.fillRect(r[1]-n+o,r[2]-n+o,n*2-o,n*2-o),u.restore();break;case"plus":case"+":u.beginPath(),u.moveTo(r[1]-n,r[2]),u.lineTo(r[1]+n,r[2]),u.moveTo(r[1],r[2]-n),u.lineTo(r[1],r[2]+n),u.closePath(),this._stroke(e);break;case"diamond":case"<>":u.beginPath(),u.moveTo(r[1]-n,r[2]),u.lineTo(r[1],r[2]+n),u.lineTo(r[1]+n,r[2]),u.lineTo(r[1],r[2]-n),u.closePath(),this._fill(e),this._stroke(e);break;case"triangleup":case"a":case"^":u.beginPath(),u.moveTo(r[1],r[2]-n),u.lineTo(r[1]-i,r[2]+s),u.lineTo(r[1]+i,r[2]+s),u.closePath(),this._fill(e),this._stroke(e);break;case"triangledown":case"v":u.beginPath(),u.moveTo(r[1],r[2]+n),u.lineTo(r[1]-i,r[2]-s),u.lineTo(r[1]+i,r[2]-s),u.closePath(),this._fill(e),this._stroke(e);break;case"triangleleft":case"<":u.beginPath(),u.moveTo(r[1]-n,r[2]),u.lineTo(r[1]+s,r[2]-i),u.lineTo(r[1]+s,r[2]+i),u.closePath(),this.fill(e),this._stroke(e);break;case"triangleright":case">":u.beginPath(),u.moveTo(r[1]+n,r[2]),u.lineTo(r[1]-s,r[2]-i),u.lineTo(r[1]-s,r[2]+i),u.closePath(),this._fill(e),this._stroke(e)}},updatePoint:function(e){this.drawPoint(e)},drawLine:function(e){var t=new JXG.Coords(JXG.COORDS_BY_USER,e.point1.coords.usrCoords,e.board),n=new JXG.Coords(JXG.COORDS_BY_USER,e.point2.coords.usrCoords,e.board);JXG.Math.Geometry.calcStraight(e,t,n),this.context.beginPath(),this.context.moveTo(t.scrCoords[1],t.scrCoords[2]),this.context.lineTo(n.scrCoords[1],n.scrCoords[2]),this._stroke(e),this.makeArrows(e,t,n)},updateLine:function(e){this.drawLine(e)},drawTicks:function(){},updateTicks:function(e,t,n,r,i){var s,o,u=e.ticks.length,a=this.context;a.beginPath();for(s=0;s<u;s++)o=e.ticks[s],x=o[0],y=o[1],a.moveTo(x[0],y[0]),a.lineTo(x[1],y[1]);for(s=0;s<u;s++)o=e.ticks[s].scrCoords,e.ticks[s].major&&(e.board.needsFullUpdate||e.needsRegularUpdate)&&e.labels[s]&&e.labels[s].visProp.visible&&this.updateText(e.labels[s]);this._stroke(e)},drawCurve:function(e){e.visProp.handdrawing?this.updatePathStringBezierPrim(e):this.updatePathStringPrim(e)},updateCurve:function(e){this.drawCurve(e)},drawEllipse:function(e){var t=e.center.coords.scrCoords[1],n=e.center.coords.scrCoords[2],r=e.board.unitX,i=e.board.unitY,s=2*e.Radius(),o=2*e.Radius(),u=s*r,a=o*i,f=t-u/2,l=n-a/2,c=u/2*.5522848,h=a/2*.5522848,p=f+u,d=l+a,v=f+u/2,m=l+a/2,g=this.context;s>0&&o>0&&!isNaN(t+n)&&(g.beginPath(),g.moveTo(f,m),g.bezierCurveTo(f,m-h,v-c,l,v,l),g.bezierCurveTo(v+c,l,p,m-h,p,m),g.bezierCurveTo(p,m+h,v+c,d,v,d),g.bezierCurveTo(v-c,d,f,m+h,f,m),g.closePath(),this._fill(e),this._stroke(e))},updateEllipse:function(e){return this.drawEllipse(e)},displayCopyright:function(e,t){var n=this.context;n.save(),n.font=t+"px Arial",n.fillStyle="#aaa",n.lineWidth=.5,n.fillText(e,10,2+t),n.restore()},drawInternalText:function(e){var t,n=this.context;return n.save(),this._setColor(e,"stroke","fill")&&!isNaN(e.coords.scrCoords[1]+e.coords.scrCoords[2])&&(e.visProp.fontsize&&(typeof e.visProp.fontsize=="function"?(t=e.visProp.fontsize(),n.font=(t>0?t:0)+"px Arial"):n.font=e.visProp.fontsize+"px Arial"),this.transformImage(e,e.transformations),e.visProp.anchorx==="right"?n.textAlign="right":e.visProp.anchorx==="middle"&&(n.textAlign="center"),e.visProp.anchory==="top"?n.textBaseline="top":e.visProp.anchory==="middle"&&(n.textBaseline="middle"),n.fillText(e.plaintext,e.coords.scrCoords[1],e.coords.scrCoords[2])),n.restore(),null},updateInternalText:function(e){this.drawInternalText(e)},setObjectStrokeColor:function(e,t,n){var r=JXG.evaluate(t),i,s,o=JXG.evaluate(n),u,a;o=o>0?o:0;if(e.visPropOld.strokecolor===r&&e.visPropOld.strokeopacity===o)return;JXG.exists(r)&&r!==!1&&(r.length!=9?(i=r,u=o):(s=JXG.rgba2rgbo(r),i=s[0],u=o*s[1]),a=e.rendNode,e.type===JXG.OBJECT_TYPE_TEXT&&e.visProp.display==="html"&&(a.style.color=i,a.style.opacity=u)),e.visPropOld.strokecolor=r,e.visPropOld.strokeopacity=o},drawImage:function(e){e.rendNode=new Image,e._src="",this.updateImage(e)},updateImage:function(e){var t=this.context,n=JXG.evaluate(e.visProp.fillopacity),r=JXG.bind(function(){e.imgIsLoaded=!0;if(e.size[0]<=0||e.size[1]<=0)return;t.save(),t.globalAlpha=n,this.transformImage(e,e.transformations),t.drawImage(e.rendNode,e.coords.scrCoords[1],e.coords.scrCoords[2]-e.size[1],e.size[0],e.size[1]),t.restore()},this);this.updateImageURL(e)?e.rendNode.onload=r:e.imgIsLoaded&&r()},transformImage:function(e,t){var n,r=t.length,i=this.context;r>0&&(n=this.joinTransforms(e,t),Math.abs(JXG.Math.Numerics.det(n))>=JXG.Math.eps&&i.transform(n[1][1],n[2][1],n[1][2],n[2][2],n[1][0],n[2][0]))},updateImageURL:function(e){var t;return t=JXG.evaluate(e.url),e._src!==t?(e.imgIsLoaded=!1,e.rendNode.src=t,e._src=t,!0):!1},remove:function(e){JXG.exists(e)&&JXG.exists(e.parentNode)&&e.parentNode.removeChild(e)},makeArrows:function(e,t,n){var r=Math.min(e.visProp.strokewidth/2,3),i=[[2,0],[-10,-4*r],[-10,4*r],[2,0]],s=[[-2,0],[10,-4*r],[10,4*r]],o,u,a,f,l,c=this.context;if(e.visProp.strokecolor!=="none"&&(e.visProp.lastarrow||e.visProp.firstarrow)){if(e.elementClass!==JXG.OBJECT_CLASS_LINE)return;o=t.scrCoords[1],u=t.scrCoords[2],a=n.scrCoords[1],f=n.scrCoords[2],c.save(),this._setColor(e,"stroke","fill")&&(l=Math.atan2(f-u,a-o),e.visProp.lastarrow&&this._drawFilledPolygon(this._translateShape(this._rotateShape(i,l),a,f)),e.visProp.firstarrow&&this._drawFilledPolygon(this._translateShape(this._rotateShape(s,l),o,u))),c.restore()}},updatePathStringPrim:function(e){var t="M",n="L",r="C",i=t,s=5e3,o,u,a,f,l=e.visProp.curvetype!=="plot",c,h=this.context;if(e.numberPoints<=0)return;c=Math.min(e.points.length,e.numberPoints),h.beginPath();if(e.bezierDegree==1){l&&e.board.options.curve.RDPsmoothing&&(e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,.5));for(o=0;o<c;o++)u=e.points[o].scrCoords,isNaN(u[1])||isNaN(u[2])?i=t:(u[1]>s?u[1]=s:u[1]<-s&&(u[1]=-s),u[2]>s?u[2]=s:u[2]<-s&&(u[2]=-s),i===t?h.moveTo(u[1],u[2]):h.lineTo(u[1],u[2]),i=n)}else if(e.bezierDegree==3){o=0;while(o<c)u=e.points[o].scrCoords,isNaN(u[1])||isNaN(u[2])?i=t:(i===t?h.moveTo(u[1],u[2]):(o++,a=e.points[o].scrCoords,o++,f=e.points[o].scrCoords,h.bezierCurveTo(u[1],u[2],a[1],a[2],f[1],f[2])),i=r),o++}this._fill(e),this._stroke(e)},updatePathStringBezierPrim:function(e){var t="M",n="C",r=t,i=5e3,s,o,u,a,f,l=e.visProp.strokewidth,c=e.visProp.curvetype!=="plot",h,p=this.context;if(e.numberPoints<=0)return;c&&e.board.options.curve.RDPsmoothing&&(e.points=JXG.Math.Numerics.RamerDouglasPeuker(e.points,.5)),h=Math.min(e.points.length,e.numberPoints),p.beginPath();for(o=1;o<3;o++){r=t;for(s=0;s<h;s++)u=e.points[s].scrCoords,isNaN(u[1])||isNaN(u[2])?r=t:(u[1]>i?u[1]=i:u[1]<-i&&(u[1]=-i),u[2]>i?u[2]=i:u[2]<-i&&(u[2]=-i),r==t?p.moveTo(u[1]+0*l*(2*o*Math.random()-o),u[2]+0*l*(2*o*Math.random()-o)):p.bezierCurveTo(a+(u[1]-a)*.333+l*(2*o*Math.random()-o),f+(u[2]-f)*.333+l*(2*o*Math.random()-o),a+2*(u[1]-a)*.333+l*(2*o*Math.random()-o),f+2*(u[2]-f)*.333+l*(2*o*Math.random()-o),u[1],u[2]),r=n,a=u[1],f=u[2])}this._fill(e),this._stroke(e)},updatePolygonPrim:function(e,t){var n,r,i=t.vertices.length,s=this.context,o=!0;if(i<=0)return;s.beginPath(),r=0;while(!t.vertices[r].isReal&&r<i-1)r++,o=!1;n=t.vertices[r].coords.scrCoords,s.moveTo(n[1],n[2]);for(r=r;r<i-1;r++)t.vertices[r].isReal||(o=!1),n=t.vertices[r].coords.scrCoords,s.lineTo(n[1],n[2]);s.closePath(),o&&this._fill(t)},show:function(e){JXG.exists(e.rendNode)&&(e.rendNode.style.visibility="inherit")},hide:function(e){JXG.exists(e.rendNode)&&(e.rendNode.style.visibility="hidden")},setGradient:function(e){var t,n;n=JXG.evaluate(e.visProp.fillopacity),n=n>0?n:0,t=JXG.evaluate(e.visProp.fillcolor)},setShadow:function(e){if(e.visPropOld.shadow===e.visProp.shadow)return;e.visPropOld.shadow=e.visProp.shadow},highlight:function(e){return e.type===JXG.OBJECT_TYPE_TEXT&&e.visProp.display==="html"?this.updateTextStyle(e,!0):(e.board.prepareUpdate(),e.board.renderer.suspendRedraw(e.board),e.board.updateRenderer(),e.board.renderer.unsuspendRedraw()),this},noHighlight:function(e){return e.type===JXG.OBJECT_TYPE_TEXT&&e.visProp.display==="html"?this.updateTextStyle(e,!1):(e.board.prepareUpdate(),e.board.renderer.suspendRedraw(e.board),e.board.updateRenderer(),e.board.renderer.unsuspendRedraw()),this},suspendRedraw:function(e){this.context.save(),this.context.clearRect(0,0,this.canvasRoot.width,this.canvasRoot.height),e&&e.showCopyright&&this.displayCopyright(JXG.JSXGraph.licenseText,12)},unsuspendRedraw:function(){this.context.restore()},resize:function(e,t){this.container?(this.canvasRoot.style.width=parseFloat(e)+"px",this.canvasRoot.style.height=parseFloat(t)+"px",this.canvasRoot.setAttribute("width",parseFloat(e)+"px"),this.canvasRoot.setAttribute("height",parseFloat(t)+"px")):(this.canvasRoot.width=parseFloat(e),this.canvasRoot.height=parseFloat(t))}});
diff --git a/ajax/libs/jsxgraph/package.json b/ajax/libs/jsxgraph/package.json
index b783a4621..232618444 100644
--- a/ajax/libs/jsxgraph/package.json
+++ b/ajax/libs/jsxgraph/package.json
@@ -1,7 +1,7 @@
 {
     "name": "jsxgraph",
     "filename": "jsxgraphcore.js",
-    "version": "0.94",
+    "version": "0.96",
     "description": "JSXGraph is a cross-browser library for interactive geometry, function plotting, charting, and data visualization in a web browser.",
     "homepage": "http://jsxgraph.org/",
     "keywords": [
@@ -16,8 +16,12 @@
    ],
    "repositories": [
        {
-           "type": "svn",
-           "url": "https://jsxgraph.svn.sourceforge.net/svnroot/jsxgraph" 
-       } 
+           "type": "git",
+           "url": "https://github.com/jsxgraph/jsxgraph.git"
+       },
+       {
+           "type": "git",
+           "url": "http://git.code.sf.net/p/jsxgraph/code"
+       }
    ]
 }