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e,i=t,r=t,s=i.offsetLeft-i.scrollLeft,o=i.offsetTop-i.scrollTop;for(e=this.getCSSTransform([s,o],i),s=e[0],o=e[1],i=i.offsetParent;i;){for(s+=i.offsetLeft,o+=i.offsetTop,i.offsetParent&&(s+=i.clientLeft-i.scrollLeft,o+=i.clientTop-i.scrollTop),e=this.getCSSTransform([s,o],i),s=e[0],o=e[1],r=r.parentNode;r!==i;)s+=r.clientLeft-r.scrollLeft,o+=r.clientTop-r.scrollTop,e=this.getCSSTransform([s,o],r),s=e[0],o=e[1],r=r.parentNode;i=i.offsetParent}return[s,o]},getStyle:function(e,i){var r,s=e.ownerDocument;return s.defaultView&&s.defaultView.getComputedStyle?r=s.defaultView.getComputedStyle(e,null).getPropertyValue(i):e.currentStyle&&t.ieVersion>=9?r=e.currentStyle[i]:e.style&&(i=i.replace(/-([a-z]|[0-9])/gi,function(t,e){return e.toUpperCase()}),r=e.style[i]),r},getProp:function(t,e){var i=parseInt(this.getStyle(t,e),10);return isNaN(i)?0:i},getCSSTransform:function(t,i){var r,s,o,n,a,h,l,c,d=["transform","webkitTransform","MozTransform","msTransform","oTransform"];for(h=d.length,r=0,o="";h>r;r++)if(e.exists(i.style[d[r]])){o=i.style[d[r]];break}if(""!==o&&(a=o.indexOf("("),a>0)){for(h=o.length,n=o.substring(a+1,h-1),c=n.split(","),s=0,l=c.length;l>s;s++)c[s]=parseFloat(c[s]);0===o.indexOf("matrix")?(t[0]+=c[4],t[1]+=c[5]):0===o.indexOf("translateX")?t[0]+=c[0]:0===o.indexOf("translateY")?t[1]+=c[0]:0===o.indexOf("translate")&&(t[0]+=c[0],t[1]+=c[1])}return t},getCSSTransformMatrix:function(t){var i,r,s,o,n,a,h,l,c,d=t.ownerDocument,u=["transform","webkitTransform","MozTransform","msTransform","oTransform"],p=[[1,0,0],[0,1,0],[0,0,1]];if(d.defaultView&&d.defaultView.getComputedStyle)c=d.defaultView.getComputedStyle(t,null),s=c.getPropertyValue("-webkit-transform")||c.getPropertyValue("-moz-transform")||c.getPropertyValue("-ms-transform")||c.getPropertyValue("-o-transform")||c.getPropertyValue("transform");else for(a=u.length,i=0,s="";a>i;i++)if(e.exists(t.style[u[i]])){s=t.style[u[i]];break}if(""!==s&&(n=s.indexOf("("),n>0)){for(a=s.length,o=s.substring(n+1,a-1),l=o.split(","),r=0,h=l.length;h>r;r++)l[r]=parseFloat(l[r]);0===s.indexOf("matrix")?p=[[1,0,0],[0,l[0],l[1]],[0,l[2],l[3]]]:0===s.indexOf("scaleX")?p[1][1]=l[0]:0===s.indexOf("scaleY")?p[2][2]=l[0]:0===s.indexOf("scale")&&(p[1][1]=l[0],p[2][2]=l[1])}return p},timedChunk:function(t,e,i,r){var s=t.concat(),o=function(){var n=+new Date;do e.call(i,s.shift());while(s.length>0&&+new Date-n<300);s.length>0?window.setTimeout(o,1):r(t)};window.setTimeout(o,1)}}),t}),define("utils/xml",["jxg","utils/type"],function(t,e){"use strict";return t.XML={cleanWhitespace:function(t){for(var i=t.firstChild;e.exists(i);)3!==i.nodeType||/\S/.test(i.nodeValue)?1===i.nodeType&&this.cleanWhitespace(i):t.removeChild(i),i=i.nextSibling},parse:function(t){var e,i,r;return r="function"==typeof DOMParser||"object"==typeof 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this.eventHandlers[t]):delete this.eventHandlers[t],this):this},eventify:function(t){t.eventHandlers={},t.on=this.on,t.off=this.off,t.triggerEventHandlers=this.trigger,t.trigger=this.trigger,t.suspended={}}},t.EventEmitter}),define("math/math",["jxg","utils/type"],function(t,e){"use strict";var i,r=function(t){var e,r;return t.memo?t.memo:(e={},r=Array.prototype.join,t.memo=function(){var s=r.call(arguments);return e[s]!==i?e[s]:e[s]=t.apply(this,arguments)},t.memo)};return t.Math={eps:1e-6,relDif:function(t,e){var i=Math.abs(t),r=Math.abs(e);return r=Math.max(i,r),0===r?0:Math.abs(t-e)/r},mod:function(t,e){return t-Math.floor(t/e)*e},vector:function(t,e){var i,r;for(e=e||0,i=[],r=0;t>r;r++)i[r]=e;return i},matrix:function(t,e,i){var r,s,o;for(i=i||0,e=e||t,r=[],s=0;t>s;s++)for(r[s]=[],o=0;e>o;o++)r[s][o]=i;return r},identity:function(t,e){var r,s;for(e===i&&"number"!=typeof e&&(e=t),r=this.matrix(t,e),s=0;s<Math.min(t,e);s++)r[s][s]=1;return r},frustum:function(t,e,i,r,s,o){var n=this.matrix(4,4);return n[0][0]=2*s/(e-t),n[0][1]=0,n[0][2]=(e+t)/(e-t),n[0][3]=0,n[1][0]=0,n[1][1]=2*s/(r-i),n[1][2]=(r+i)/(r-i),n[1][3]=0,n[2][0]=0,n[2][1]=0,n[2][2]=-(o+s)/(o-s),n[2][3]=-(o*s*2)/(o-s),n[3][0]=0,n[3][1]=0,n[3][2]=-1,n[3][3]=0,n},projection:function(t,e,i,r){var s=i*Math.tan(t/2),o=s*e;return this.frustum(-o,o,-s,s,i,r)},matVecMult:function(t,e){var i,r,s,o=t.length,n=e.length,a=[];if(3===n)for(i=0;o>i;i++)a[i]=t[i][0]*e[0]+t[i][1]*e[1]+t[i][2]*e[2];else for(i=0;o>i;i++){for(r=0,s=0;n>s;s++)r+=t[i][s]*e[s];a[i]=r}return a},matMatMult:function(t,e){var i,r,s,o,n=t.length,a=n>0?e[0].length:0,h=e.length,l=this.matrix(n,a);for(i=0;n>i;i++)for(r=0;a>r;r++){for(s=0,o=0;h>o;o++)s+=t[i][o]*e[o][r];l[i][r]=s}return l},transpose:function(t){var e,i,r,s,o;for(s=t.length,o=t.length>0?t[0].length:0,e=this.matrix(o,s),i=0;o>i;i++)for(r=0;s>r;r++)e[i][r]=t[r][i];return e},inverse:function(t){var 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t[5]=s,t[6]=-t[1]/r,t[7]=-t[2]/r,isFinite(s)?Math.abs(s)>=1?(t[0]=(t[6]*t[6]+t[7]*t[7]-s*s)/(2*s),t[1]=-t[6]/s,t[2]=-t[7]/s,t[3]=1/(2*s),t[4]=1):(i=0>=s?-1:1,t[0]=i*(t[6]*t[6]+t[7]*t[7]-s*s)*.5,t[1]=-i*t[6],t[2]=-i*t[7],t[3]=i/2,t[4]=i*s):(e=Math.sqrt(t[1]*t[1]+t[2]*t[2]),t[0]/=e,t[1]/=e,t[2]/=e,t[3]=0,t[4]=1),t},toGL:function(t){var e,i,r;if(e="function"==typeof Float32Array?new Float32Array(16):new Array(16),4!==t.length&&4!==t[0].length)return e;for(i=0;4>i;i++)for(r=0;4>r;r++)e[i+4*r]=t[i][r];return e}},t.Math}),define("base/coords",["jxg","base/constants","utils/event","utils/type","math/math"],function(t,e,i,r,s){"use strict";return t.Coords=function(t,e,s,o){this.board=s,this.usrCoords=[],this.scrCoords=[],this.emitter=!r.exists(o)||o,this.emitter&&i.eventify(this),this.setCoordinates(t,e,!0,!0)},t.extend(t.Coords.prototype,{normalizeUsrCoords:function(){Math.abs(this.usrCoords[0])>s.eps&&(this.usrCoords[1]/=this.usrCoords[0],this.usrCoords[2]/=this.usrCoords[0],this.usrCoords[0]=1)},usr2screen:function(t){var e=Math.round,i=this.board,r=this.usrCoords,s=i.origin.scrCoords;t===!0?(this.scrCoords[0]=e(r[0]),this.scrCoords[1]=e(r[0]*s[1]+r[1]*i.unitX),this.scrCoords[2]=e(r[0]*s[2]-r[2]*i.unitY)):(this.scrCoords[0]=r[0],this.scrCoords[1]=r[0]*s[1]+r[1]*i.unitX,this.scrCoords[2]=r[0]*s[2]-r[2]*i.unitY)},screen2usr:function(){var t=this.board.origin.scrCoords,e=this.scrCoords,i=this.board;this.usrCoords[0]=1,this.usrCoords[1]=(e[1]-t[1])/i.unitX,this.usrCoords[2]=(t[2]-e[2])/i.unitY},distance:function(t,i){var r,o,n=0,a=this.usrCoords,h=this.scrCoords;if(t===e.COORDS_BY_USER){if(r=i.usrCoords,o=a[0]-r[0],n=o*o,n>s.eps*s.eps)return Number.POSITIVE_INFINITY;o=a[1]-r[1],n+=o*o,o=a[2]-r[2],n+=o*o}else r=i.scrCoords,o=h[1]-r[1],n+=o*o,o=h[2]-r[2],n+=o*o;return Math.sqrt(n)},setCoordinates:function(t,i,r,s){var o=this.usrCoords,n=this.scrCoords,a=[o[0],o[1],o[2]],h=[n[0],n[1],n[2]];return t===e.COORDS_BY_USER?(2===i.length?(o[0]=1,o[1]=i[0],o[2]=i[1]):(o[0]=i[0],o[1]=i[1],o[2]=i[2],this.normalizeUsrCoords()),this.usr2screen(r)):(2===i.length?(n[1]=i[0],n[2]=i[1]):(n[1]=i[1],n[2]=i[2]),this.screen2usr()),!this.emitter||s||h[1]===n[1]&&h[2]===n[2]||this.triggerEventHandlers(["update"],[a,h]),this},copy:function(t,e){return void 0===e&&(e=0),this[t].slice(e)},__evt__update:function(t,e){},__evt:function(){}}),t.Coords}),define("utils/expect",["jxg","utils/type","base/constants","base/coords"],function(t,e,i,r){"use strict";var s={each:function(t,i,r){var s,o,n=[];if(e.exists(t.length))for(o=t.length,s=0;o>s;s++)n.push(i.call(this,t[s],r));return n},coords:function(t,e){var s=t;return t&&t.elementClass===i.OBJECT_CLASS_POINT?s=t.coords:t.usrCoords&&t.scrCoords&&t.usr2screen&&(s=t),e&&(s=new r(i.COORDS_BY_USER,s.usrCoords,s.board)),s},coordsArray:function(t,i){var r;return r=e.isArray(t)?t:this.coords(t).usrCoords,r.length<3&&r.unshift(1),i&&(r=[r[0],r[1],r[2]]),r}};return t.Expect=s,s}),define("math/qdt",["math/math","utils/type"],function(t,e){"use strict";var i=function(t){this.capacity=10,this.points=[],this.xlb=t[0],this.xub=t[2],this.ylb=t[3],this.yub=t[1],this.northWest=null,this.northEast=null,this.southEast=null,this.southWest=null};return e.extend(i.prototype,{contains:function(t,e){return this.xlb<t&&t<=this.xub&&this.ylb<e&&e<=this.yub},insert:function(t){return this.contains(t.usrCoords[1],t.usrCoords[2])?this.points.length<this.capacity?(this.points.push(t),!0):(null===this.northWest&&this.subdivide(),this.northWest.insert(t)?!0:this.northEast.insert(t)?!0:this.southEast.insert(t)?!0:!!this.southWest.insert(t)):!1},subdivide:function(){var t,e=this.points.length,r=this.xlb+(this.xub-this.xlb)/2,s=this.ylb+(this.yub-this.ylb)/2;for(this.northWest=new i([this.xlb,this.yub,r,s]),this.northEast=new i([r,this.yub,this.xub,s]),this.southEast=new i([this.xlb,s,r,this.ylb]),this.southWest=new i([r,s,this.xub,this.ylb]),t=0;e>t;t+=1)this.northWest.insert(this.points[t]),this.northEast.insert(this.points[t]),this.southEast.insert(this.points[t]),this.southWest.insert(this.points[t])},_query:function(t,e){var i;if(this.contains(t,e)){if(null===this.northWest)return this;if(i=this.northWest._query(t,e))return i;if(i=this.northEast._query(t,e))return i;if(i=this.southEast._query(t,e))return i;if(i=this.southWest._query(t,e))return i}return!1},query:function(t,i){var r,s;return e.exists(i)?(r=t,s=i):(r=t.usrCoords[1],s=t.usrCoords[2]),this._query(r,s)}}),t.Quadtree=i,i}),define("math/numerics",["jxg","utils/type","math/math"],function(t,e,i){"use strict";var r={rk4:{s:4,A:[[0,0,0,0],[.5,0,0,0],[0,.5,0,0],[0,0,1,0]],b:[1/6,1/3,1/3,1/6],c:[0,.5,.5,1]},heun:{s:2,A:[[0,0],[1,0]],b:[.5,.5],c:[0,1]},euler:{s:1,A:[[0]],b:[1],c:[0]}};return i.Numerics={Gauss:function(t,r){var s,o,n,a,h,l=i.eps,c=t.length>0?t[0].length:0;if(c!==r.length||c!==t.length)throw new Error("JXG.Math.Numerics.Gauss: Dimensions don't match. A must be a square matrix and b must be of the same length as A.");
for(a=[],h=r.slice(0,c),s=0;c>s;s++)a[s]=t[s].slice(0,c);for(o=0;c>o;o++){for(s=c-1;s>o;s--)if(Math.abs(a[s][o])>l)if(Math.abs(a[o][o])<l)e.swap(a,s,o),e.swap(h,s,o);else for(a[s][o]/=a[o][o],h[s]-=a[s][o]*h[o],n=o+1;c>n;n++)a[s][n]-=a[s][o]*a[o][n];if(Math.abs(a[o][o])<l)throw new Error("JXG.Math.Numerics.Gauss(): The given matrix seems to be singular.")}return this.backwardSolve(a,h,!0),h},backwardSolve:function(t,e,i){var r,s,o,n,a;for(r=i?e:e.slice(0,e.length),s=t.length,o=t.length>0?t[0].length:0,n=s-1;n>=0;n--){for(a=o-1;a>n;a--)r[n]-=t[n][a]*r[a];r[n]/=t[n][n]}return r},gaussBareiss:function(t){var e,r,s,o,n,a,h,l,c,d=i.eps;if(h=t.length,0>=h)return 0;for(t[0].length<h&&(h=t[0].length),l=[],o=0;h>o;o++)l[o]=t[o].slice(0,h);for(r=1,s=1,e=0;h-1>e;e++){if(a=l[e][e],Math.abs(a)<d){for(o=e+1;h>o&&!(Math.abs(l[o][e])>=d);o++);if(o===h)return 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e,r,s,o,n,a,h,l,c,d=i.eps,u=0,p=t.length,f=[[0,0,0],[0,0,0],[0,0,0]],m=[[0,0,0],[0,0,0],[0,0,0]],g=0;for(e=0;p>e;e++){for(r=0;p>r;r++)f[e][r]=0,m[e][r]=t[e][r],u+=Math.abs(m[e][r]);f[e][e]=1}if(1===p)return[m,f];if(0>=u)return[m,f];u/=p*p;do{for(l=0,c=0,r=1;p>r;r++)for(e=0;r>e;e++)if(o=Math.abs(m[e][r]),o>c&&(c=o),l+=o,o>=d){for(o=.5*Math.atan2(2*m[e][r],m[e][e]-m[r][r]),n=Math.sin(o),a=Math.cos(o),s=0;p>s;s++)h=m[s][e],m[s][e]=a*h+n*m[s][r],m[s][r]=-n*h+a*m[s][r],h=f[s][e],f[s][e]=a*h+n*f[s][r],f[s][r]=-n*h+a*f[s][r];for(m[e][e]=a*m[e][e]+n*m[r][e],m[r][r]=-n*m[e][r]+a*m[r][r],m[e][r]=0,s=0;p>s;s++)m[e][s]=m[s][e],m[r][s]=m[s][r]}g+=1}while(Math.abs(l)/u>d&&2e3>g);return[m,f]},NewtonCotes:function(t,i,r){var s,o,n,a=0,h=r&&e.isNumber(r.number_of_nodes)?r.number_of_nodes:28,l={trapez:!0,simpson:!0,milne:!0},c=r&&r.integration_type&&l.hasOwnProperty(r.integration_type)&&l[r.integration_type]?r.integration_type:"milne",d=(t[1]-t[0])/h;switch(c){case"trapez":for(a=.5*(i(t[0])+i(t[1])),s=t[0],o=0;h-1>o;o++)s+=d,a+=i(s);a*=d;break;case"simpson":if(h%2>0)throw new Error("JSXGraph:  INT_SIMPSON requires config.number_of_nodes dividable by 2.");for(n=h/2,a=i(t[0])+i(t[1]),s=t[0],o=0;n-1>o;o++)s+=2*d,a+=2*i(s);for(s=t[0]-d,o=0;n>o;o++)s+=2*d,a+=4*i(s);a*=d/3;break;default:if(h%4>0)throw new Error("JSXGraph: Error in INT_MILNE: config.number_of_nodes must be a multiple of 4");for(n=.25*h,a=7*(i(t[0])+i(t[1])),s=t[0],o=0;n-1>o;o++)s+=4*d,a+=14*i(s);for(s=t[0]-3*d,o=0;n>o;o++)s+=4*d,a+=32*(i(s)+i(s+2*d));for(s=t[0]-2*d,o=0;n>o;o++)s+=4*d,a+=12*i(s);a*=2*d/45}return a},Romberg:function(t,i,r){var s,o,n,a,h,l,c,d,u=[],p=0,f=1/0,m=r&&e.isNumber(r.max_iterations)?r.max_iterations:20,g=r&&e.isNumber(r.eps)?r.eps:r.eps||1e-7;for(s=t[0],o=t[1],n=o-s,h=1,u[0]=.5*n*(i(s)+i(o)),l=0;m>l;++l){for(a=0,n*=.5,h*=2,d=1,c=1;h>c;c+=2)a+=i(s+c*n);for(u[l+1]=.5*u[l]+a*n,p=u[l+1],c=l-1;c>=0;--c)d*=4,u[c]=u[c+1]+(u[c+1]-u[c])/(d-1),p=u[c];if(Math.abs(p-f)<g*Math.abs(p))break;f=p}return p},GaussLegendre:function(t,i,r){var 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r=[.9914553711208126,.9491079123427585,.8648644233597691,.7415311855993945,.5860872354676911,.4058451513773972,.20778495500789848,0],s=[.1294849661688697,.27970539148927664,.3818300505051189,.4179591836734694],o=[.022935322010529224,.06309209262997856,.10479001032225019,.14065325971552592,.1690047266392679,.19035057806478542,.20443294007529889,.20948214108472782];return this._gaussKronrod(t,e,8,r,s,o,i)},GaussKronrod21:function(t,e,i){var r=[.9956571630258081,.9739065285171717,.9301574913557082,.8650633666889845,.7808177265864169,.6794095682990244,.5627571346686047,.4333953941292472,.2943928627014602,.14887433898163122,0],s=[.06667134430868814,.1494513491505806,.21908636251598204,.26926671930999635,.29552422471475287],o=[.011694638867371874,.032558162307964725,.054755896574351995,.07503967481091996,.0931254545836976,.10938715880229764,.12349197626206584,.13470921731147334,.14277593857706009,.14773910490133849,.1494455540029169];return 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h=this.i,l=this.size,c=this.level[this.i]+1;a>r?(this.alist[h]=s,this.rlist[h]=n,this.elist[h]=a,this.level[h]=c,this.alist[l]=t,this.blist[l]=e,this.rlist[l]=i,this.elist[l]=r,this.level[l]=c):(this.blist[h]=e,this.rlist[h]=i,this.elist[h]=r,this.level[h]=c,this.alist[l]=s,this.blist[l]=o,this.rlist[l]=n,this.elist[l]=a,this.level[l]=c),this.size++,c>this.maximum_level&&(this.maximum_level=c),this.qpsrt()},retrieve:function(){var t=this.i;return{a:this.alist[t],b:this.blist[t],r:this.rlist[t],e:this.elist[t]}},sum_results:function(){var t,e=this.size,i=0;for(t=0;e>t;t++)i+=this.rlist[t];return i},subinterval_too_small:function(t,e,i){var r=2.220446049250313e-16,s=2.2250738585072014e-308,o=(1+100*r)*(Math.abs(e)+1e3*s);return Math.abs(t)<=o&&Math.abs(i)<=o}}},Qag:function(r,s,o){var 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a,h,l,c,d,u,p=[],f=[],m=(s[1]-s[0])/o,g=s[0],b=i.length,v=[],y=0;for(e.isString(t)&&(t=r[t]||r.euler),u=t.s,a=0;b>a;a++)p[a]=i[a];for(h=0;o>h;h++){for(v[y]=[],a=0;b>a;a++)v[y][a]=p[a];for(y+=1,c=[],l=0;u>l;l++){for(a=0;b>a;a++)f[a]=0;for(d=0;l>d;d++)for(a=0;b>a;a++)f[a]+=t.A[l][d]*m*c[d][a];for(a=0;b>a;a++)f[a]+=p[a];c.push(n(g+t.c[l]*m,f))}for(a=0;b>a;a++)f[a]=0;for(d=0;u>d;d++)for(a=0;b>a;a++)f[a]+=t.b[d]*c[d][a];for(a=0;b>a;a++)p[a]=p[a]+m*f[a];g+=m}return v},maxIterationsRoot:80,maxIterationsMinimize:500,fzero:function(t,r,s){var o,n,a,h,l,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E,x=i.eps,w=this.maxIterationsRoot,O=0,T=0;if(e.isArray(r)){if(r.length<2)throw new Error("JXG.Math.Numerics.fzero: length of array x0 has to be at least two.");o=r[0],h=t.call(s,o),T+=1,n=r[1],l=t.call(s,n),T+=1}else{for(o=r,h=t.call(s,o),T+=1,d=0===o?1:o,u=[.9*d,1.1*d,d-1,d+1,.5*d,1.5*d,-d,2*d,-10*d,10*d],f=u.length,p=0;f>p&&(n=u[p],l=t.call(s,n),T+=1,!(0>=h*l));p++);o>n&&(m=o,o=n,n=m,g=h,h=l,l=g)}if(h*l>0)return 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if(i.isArray(t)&&i.isArray(e))for(s=Math.min(t.length,e.length),r=0;s>r;r++)o[r]=t[r]+e[r];else o=t+e;return o},div:function(t,e){var r,s,o=[];if(t=i.evalSlider(t),e=i.evalSlider(e),i.isArray(t)&&i.isNumber(e))for(s=t.length,r=0;s>r;r++)o[r]=t[r]/e;else if(i.isNumber(t)&&i.isArray(e))for(s=e.length,r=0;s>r;r++)o[r]=t/e[r];else if(i.isArray(t)&&i.isArray(e))for(s=Math.min(t.length,e.length),r=0;s>r;r++)o[r]=t[r]/e[r];else o=t/e;return o},divide:function(){t.deprecated("Statistics.divide()","Statistics.div()"),e.Statistics.div.apply(e.Statistics,arguments)},mod:function(t,r,s){var o,n,a=[],h=function(t,e){return t%e};if(s=i.def(s,!1),s&&(h=e.mod),t=i.evalSlider(t),r=i.evalSlider(r),i.isArray(t)&&i.isNumber(r))for(n=t.length,o=0;n>o;o++)a[o]=h(t[o],r);else if(i.isNumber(t)&&i.isArray(r))for(n=r.length,o=0;n>o;o++)a[o]=h(t,r[o]);else if(i.isArray(t)&&i.isArray(r))for(n=Math.min(t.length,r.length),o=0;n>o;o++)a[o]=h(t[o],r[o]);else a=h(t,r);return a},multiply:function(t,e){var r,s,o=[];if(t=i.evalSlider(t),e=i.evalSlider(e),i.isArray(t)&&i.isNumber(e))for(s=t.length,r=0;s>r;r++)o[r]=t[r]*e;else if(i.isNumber(t)&&i.isArray(e))for(s=e.length,r=0;s>r;r++)o[r]=t*e[r];else if(i.isArray(t)&&i.isArray(e))for(s=Math.min(t.length,e.length),r=0;s>r;r++)o[r]=t[r]*e[r];else o=t*e;return o},subtract:function(t,e){var r,s,o=[];if(t=i.evalSlider(t),e=i.evalSlider(e),i.isArray(t)&&i.isNumber(e))for(s=t.length,r=0;s>r;r++)o[r]=t[r]-e;else if(i.isNumber(t)&&i.isArray(e))for(s=e.length,r=0;s>r;r++)o[r]=t-e[r];else if(i.isArray(t)&&i.isArray(e))for(s=Math.min(t.length,e.length),r=0;s>r;r++)o[r]=t[r]-e[r];else o=t-e;return o},TheilSenRegression:function(t){var i,r,s=[],o=[],n=[];for(i=0;i<t.length;i++){for(o.length=0,r=0;r<t.length;r++)Math.abs(t[r].usrCoords[1]-t[i].usrCoords[1])>e.eps&&(o[r]=(t[r].usrCoords[2]-t[i].usrCoords[2])/(t[r].usrCoords[1]-t[i].usrCoords[1]));s[i]=this.median(o),n.push(t[i].usrCoords[2]-s[i]*t[i].usrCoords[1])}return[this.median(n),this.median(s),-1]}},e.Statistics}),define("math/geometry",["jxg","base/constants","base/coords","math/math","math/numerics","utils/type","utils/expect"],function(t,e,i,r,s,o,n){"use strict";return r.Geometry={},t.extend(r.Geometry,{angle:function(e,i,r){var s,o,n,a,h=[],l=[],c=[];return t.deprecated("Geometry.angle()","Geometry.rad()"),e.coords?(h[0]=e.coords.usrCoords[1],h[1]=e.coords.usrCoords[2]):(h[0]=e[0],h[1]=e[1]),i.coords?(l[0]=i.coords.usrCoords[1],l[1]=i.coords.usrCoords[2]):(l[0]=i[0],l[1]=i[1]),r.coords?(c[0]=r.coords.usrCoords[1],c[1]=r.coords.usrCoords[2]):(c[0]=r[0],c[1]=r[1]),s=h[0]-l[0],o=h[1]-l[1],n=c[0]-l[0],a=c[1]-l[1],Math.atan2(s*a-o*n,s*n+o*a)},trueAngle:function(t,e,i){return 57.29577951308232*this.rad(t,e,i)},rad:function(t,e,i){var r,s,o,n,a,h,l;return t.coords?(r=t.coords.usrCoords[1],s=t.coords.usrCoords[2]):(r=t[0],s=t[1]),e.coords?(o=e.coords.usrCoords[1],n=e.coords.usrCoords[2]):(o=e[0],n=e[1]),i.coords?(a=i.coords.usrCoords[1],h=i.coords.usrCoords[2]):(a=i[0],h=i[1]),l=Math.atan2(h-n,a-o)-Math.atan2(s-n,r-o),0>l&&(l+=6.283185307179586),l},angleBisector:function(t,r,s,n){var a,h,l,c,d,u=t.coords.usrCoords,p=r.coords.usrCoords,f=s.coords.usrCoords;return o.exists(n)||(n=t.board),0===p[0]?new i(e.COORDS_BY_USER,[1,.5*(u[1]+f[1]),.5*(u[2]+f[2])],n):(c=u[1]-p[1],d=u[2]-p[2],a=Math.atan2(d,c),c=f[1]-p[1],d=f[2]-p[2],h=Math.atan2(d,c),l=.5*(a+h),a>h&&(l+=Math.PI),c=Math.cos(l)+p[1],d=Math.sin(l)+p[2],new i(e.COORDS_BY_USER,[1,c,d],n))},reflection:function(t,r,s){var n,a,h,l,c,d,u,p=r.coords.usrCoords,f=t.point1.coords.usrCoords,m=t.point2.coords.usrCoords;return o.exists(s)||(s=r.board),c=m[1]-f[1],d=m[2]-f[2],n=p[1]-f[1],a=p[2]-f[2],u=(c*a-d*n)/(c*c+d*d),h=p[1]+2*u*d,l=p[2]-2*u*c,new i(e.COORDS_BY_USER,[h,l],s)},rotation:function(t,r,s,n){var a,h,l,c,d,u,p=r.coords.usrCoords,f=t.coords.usrCoords;return o.exists(n)||(n=r.board),a=p[1]-f[1],h=p[2]-f[2],l=Math.cos(s),c=Math.sin(s),d=a*l-h*c+f[1],u=a*c+h*l+f[2],new i(e.COORDS_BY_USER,[d,u],n)},perpendicular:function(t,s,n){var a,h,l,c,d,u=t.point1.coords.usrCoords,p=t.point2.coords.usrCoords,f=s.coords.usrCoords;return o.exists(n)||(n=s.board),s===t.point1?(a=u[1]+p[2]-u[2],h=u[2]-p[1]+u[1],d=u[0]*p[0],Math.abs(d)<r.eps&&(a=p[2],h=-p[1]),c=[d,a,h],l=!0):s===t.point2?(a=p[1]+u[2]-p[2],h=p[2]-u[1]+p[1],d=u[0]*p[0],Math.abs(d)<r.eps&&(a=u[2],h=-u[1]),c=[d,a,h],l=!1):Math.abs(r.innerProduct(f,t.stdform,3))<r.eps?(a=f[1]+p[2]-f[2],h=f[2]-p[1]+f[1],d=p[0],Math.abs(d)<r.eps&&(a=p[2],h=-p[1]),l=!0,Math.abs(d)>r.eps&&Math.abs(a-f[1])<r.eps&&Math.abs(h-f[2])<r.eps&&(a=f[1]+u[2]-f[2],h=f[2]-u[1]+f[1],l=!1),c=[d,a,h]):(c=[0,t.stdform[1],t.stdform[2]],c=r.crossProduct(c,f),c=r.crossProduct(c,t.stdform),l=!0),[new i(e.COORDS_BY_USER,c,n),l]},circumcenterMidpoint:function(){t.deprecated("Geometry.circumcenterMidpoint()","Geometry.circumcenter()"),this.circumcenter.apply(this,arguments)},circumcenter:function(t,s,n,a){var h,l,c,d,u=t.coords.usrCoords,p=s.coords.usrCoords,f=n.coords.usrCoords;return o.exists(a)||(a=t.board),h=[p[0]-u[0],-p[2]+u[2],p[1]-u[1]],l=[.5*(u[0]+p[0]),.5*(u[1]+p[1]),.5*(u[2]+p[2])],c=r.crossProduct(h,l),h=[f[0]-p[0],-f[2]+p[2],f[1]-p[1]],l=[.5*(p[0]+f[0]),.5*(p[1]+f[1]),.5*(p[2]+f[2])],d=r.crossProduct(h,l),new i(e.COORDS_BY_USER,r.crossProduct(c,d),a)},distance:function(t,e,i){var r,s=0;for(i||(i=Math.min(t.length,e.length)),r=0;i>r;r++)s+=(t[r]-e[r])*(t[r]-e[r]);return Math.sqrt(s)},affineDistance:function(t,e,i){var s;return s=this.distance(t,e,i),s>r.eps&&(Math.abs(t[0])<r.eps||Math.abs(e[0])<r.eps)?1/0:s},sortVertices:function(t){var e,i,s=n.each(t,n.coordsArray),a=s.length;for(e=1;a>e;e++)(s[e][2]<s[0][2]||Math.abs(s[e][2]-s[0][2])<r.eps&&s[e][1]<s[0][1])&&(s=o.swap(s,e,0));return i=s.shift(),s.sort(function(t,e){var r=Math.atan2(t[2]-i[2],t[1]-i[1]),s=Math.atan2(e[2]-i[2],e[1]-i[1]);return r-s}),s.unshift(i),s.unshift(s[s.length-1]),s},signedTriangle:function(t,e,i){var r=n.coordsArray(t),s=n.coordsArray(e),o=n.coordsArray(i);return.5*((s[1]-r[1])*(o[2]-r[2])-(s[2]-r[2])*(o[1]-r[1]))},signedPolygon:function(t,e){var i,r,s=0,o=n.each(t,n.coordsArray);for(void 0===e&&(e=!0),e?o.unshift(o[o.length-1]):o=this.sortVertices(o),r=o.length,i=1;r>i;i++)s+=o[i-1][1]*o[i][2]-o[i][1]*o[i-1][2];return.5*s},GrahamScan:function(t){var e,i=1,r=n.each(t,n.coordsArray),s=r.length;for(r=this.sortVertices(r),s=r.length,e=2;s>e;e++){for(;this.signedTriangle(r[i-1],r[i],r[e])<=0;)if(i>1)i-=1;else{if(e===s-1)break;e+=1}i+=1,r=o.swap(r,i,e)}return r.slice(0,i)},calcStraight:function(t,i,s,n){var a,h,l,c,d,u,p,f,m,g;if(o.exists(n)||(n=10),u=t.visProp.straightfirst,p=t.visProp.straightlast,Math.abs(i.scrCoords[0])<r.eps&&(u=!0),Math.abs(s.scrCoords[0])<r.eps&&(p=!0),(u||p)&&(f=[],f[0]=t.stdform[0]-t.stdform[1]*t.board.origin.scrCoords[1]/t.board.unitX+t.stdform[2]*t.board.origin.scrCoords[2]/t.board.unitY,f[1]=t.stdform[1]/t.board.unitX,f[2]=-t.stdform[2]/t.board.unitY,!isNaN(f[0]+f[1]+f[2]))){if(a=!1,h=!1,a=!u&&Math.abs(i.usrCoords[0])>=r.eps&&i.scrCoords[1]>=0&&i.scrCoords[1]<=t.board.canvasWidth&&i.scrCoords[2]>=0&&i.scrCoords[2]<=t.board.canvasHeight,h=!p&&Math.abs(s.usrCoords[0])>=r.eps&&s.scrCoords[1]>=0&&s.scrCoords[1]<=t.board.canvasWidth&&s.scrCoords[2]>=0&&s.scrCoords[2]<=t.board.canvasHeight,l=this.meetLineBoard(f,t.board,n),c=l[0],d=l[1],!a&&!h){if(!u&&p&&!this.isSameDirection(i,s,c)&&!this.isSameDirection(i,s,d))return;if(u&&!p&&!this.isSameDirection(s,i,c)&&!this.isSameDirection(s,i,d))return}a?h||(g=this.isSameDir(i,s,c,d)?d:c):h?m=this.isSameDir(i,s,c,d)?c:d:this.isSameDir(i,s,c,d)?(m=c,g=d):(g=c,m=d),m&&i.setCoordinates(e.COORDS_BY_USER,m.usrCoords),g&&s.setCoordinates(e.COORDS_BY_USER,g.usrCoords);
}},calcLineDelimitingPoints:function(t,i,s){var o,n,a,h,l,c,d,u,p,f,m=!1,g=!1;if(c=t.visProp.straightfirst,d=t.visProp.straightlast,Math.abs(i.scrCoords[0])<r.eps&&(c=!0),Math.abs(s.scrCoords[0])<r.eps&&(d=!0),u=[],u[0]=t.stdform[0]-t.stdform[1]*t.board.origin.scrCoords[1]/t.board.unitX+t.stdform[2]*t.board.origin.scrCoords[2]/t.board.unitY,u[1]=t.stdform[1]/t.board.unitX,u[2]=-t.stdform[2]/t.board.unitY,!isNaN(u[0]+u[1]+u[2])){if(m=!c,g=!d,n=t.board.getBoundingBox(),a=t.getSlope(),a>=0?(h=this.projectPointToLine({coords:{usrCoords:[1,n[2],n[1]]}},t,t.board),l=this.projectPointToLine({coords:{usrCoords:[1,n[0],n[3]]}},t,t.board)):(h=this.projectPointToLine({coords:{usrCoords:[1,n[0],n[1]]}},t,t.board),l=this.projectPointToLine({coords:{usrCoords:[1,n[2],n[3]]}},t,t.board)),!m&&!g){if(!c&&!d){if(o=i.distance(e.COORDS_BY_USER,s),Math.abs(i.distance(e.COORDS_BY_USER,h)+h.distance(e.COORDS_BY_USER,s)-o)>r.eps)return;if(Math.abs(i.distance(e.COORDS_BY_USER,l)+l.distance(e.COORDS_BY_USER,s)-o)>r.eps)return}if(!c&&d&&!this.isSameDirection(i,s,h)&&!this.isSameDirection(i,s,l))return;if(c&&!d&&!this.isSameDirection(s,i,h)&&!this.isSameDirection(s,i,l))return}m?g||(f=this.isSameDir(i,s,h,l)?l:h):g?p=this.isSameDir(i,s,h,l)?h:l:this.isSameDir(i,s,h,l)?(p=h,f=l):(f=h,p=l),p&&i.setCoordinates(e.COORDS_BY_USER,p.usrCoords),f&&s.setCoordinates(e.COORDS_BY_USER,f.usrCoords)}},isSameDir:function(t,e,i,s){var o=e.usrCoords[1]-t.usrCoords[1],n=e.usrCoords[2]-t.usrCoords[2],a=s.usrCoords[1]-i.usrCoords[1],h=s.usrCoords[2]-i.usrCoords[2];return Math.abs(e.usrCoords[0])<r.eps&&(o=e.usrCoords[1],n=e.usrCoords[2]),Math.abs(t.usrCoords[0])<r.eps&&(o=-t.usrCoords[1],n=-t.usrCoords[2]),o*a+n*h>=0},isSameDirection:function(t,e,i){var s,o,n,a,h=!1;return s=e.usrCoords[1]-t.usrCoords[1],o=e.usrCoords[2]-t.usrCoords[2],n=i.usrCoords[1]-t.usrCoords[1],a=i.usrCoords[2]-t.usrCoords[2],Math.abs(s)<r.eps&&(s=0),Math.abs(o)<r.eps&&(o=0),Math.abs(n)<r.eps&&(n=0),Math.abs(a)<r.eps&&(a=0),s>=0&&n>=0?h=o>=0&&a>=0||0>=o&&0>=a:0>=s&&0>=n&&(h=o>=0&&a>=0||0>=o&&0>=a),h},intersectionFunction:function(t,r,s,o,n,a){var h,l=this;return h=r.elementClass===e.OBJECT_CLASS_CURVE&&s.elementClass===e.OBJECT_CLASS_CURVE?function(){return l.meetCurveCurve(r,s,o,n,r.board)}:r.elementClass===e.OBJECT_CLASS_CURVE&&s.elementClass===e.OBJECT_CLASS_LINE||s.elementClass===e.OBJECT_CLASS_CURVE&&r.elementClass===e.OBJECT_CLASS_LINE?function(){return l.meetCurveLine(r,s,o,r.board,a)}:r.elementClass===e.OBJECT_CLASS_LINE&&s.elementClass===e.OBJECT_CLASS_LINE?function(){var t,n,h=r.visProp.straightfirst,c=s.visProp.straightfirst,d=r.visProp.straightlast,u=s.visProp.straightlast;return a||h&&d&&c&&u?l.meet(r.stdform,s.stdform,o,r.board):(t=l.meetSegmentSegment(r.point1.coords.usrCoords,r.point2.coords.usrCoords,s.point1.coords.usrCoords,s.point2.coords.usrCoords,r.board),n=!h&&t[1]<0||!d&&t[1]>1||!c&&t[2]<0||!u&&t[2]>1?[0,NaN,NaN]:t[0],new i(e.COORDS_BY_USER,n,r.board))}:function(){return l.meet(r.stdform,s.stdform,o,r.board)}},meet:function(t,e,i,s){var o,n=r.eps;return o=Math.abs(t[3])<n&&Math.abs(e[3])<n?this.meetLineLine(t,e,i,s):Math.abs(t[3])>=n&&Math.abs(e[3])<n?this.meetLineCircle(e,t,i,s):Math.abs(t[3])<n&&Math.abs(e[3])>=n?this.meetLineCircle(t,e,i,s):this.meetCircleCircle(t,e,i,s)},meetLineBoard:function(t,s,n){var a,h,l,c,d=[];for(o.exists(n)||(n=0),d[0]=r.crossProduct(t,[n,0,1]),d[1]=r.crossProduct(t,[n,1,0]),d[2]=r.crossProduct(t,[-n-s.canvasHeight,0,1]),d[3]=r.crossProduct(t,[-n-s.canvasWidth,1,0]),l=0;4>l;l++)if(Math.abs(d[l][0])>r.eps){for(c=2;c>0;c--)d[l][c]/=d[l][0];d[l][0]=1}return Math.abs(d[1][0])<r.eps?(a=d[0],h=d[2]):Math.abs(d[0][0])<r.eps?(a=d[1],h=d[3]):d[1][2]<0?(a=d[0],h=d[3][2]>s.canvasHeight?d[2]:d[3]):d[1][2]>s.canvasHeight?(a=d[2],h=d[3][2]<0?d[0]:d[3]):(a=d[1],h=d[3][2]<0?d[0]:d[3][2]>s.canvasHeight?d[2]:d[3]),a=new i(e.COORDS_BY_SCREEN,a.slice(1),s),h=new i(e.COORDS_BY_SCREEN,h.slice(1),s),[a,h]},meetLineLine:function(t,s,o,n){var a=isNaN(t[5]+s[5])?[0,0,0]:r.crossProduct(t,s);return new i(e.COORDS_BY_USER,a,n)},meetLineCircle:function(t,s,o,n){var a,h,l,c,d,u,p,f,m,g;return s[4]<r.eps?Math.abs(r.innerProduct([1,s[6],s[7]],t,3))<r.eps?new i(e.COORDS_BY_USER,s.slice(6,8),n):new i(e.COORDS_BY_USER,[NaN,NaN],n):(l=s[0],h=s.slice(1,3),a=s[3],c=t[0],d=t.slice(1,3),u=a,p=h[0]*d[1]-h[1]*d[0],f=a*c*c-(h[0]*d[0]+h[1]*d[1])*c+l,m=p*p-4*u*f,m>=0?(m=Math.sqrt(m),g=[(-p+m)/(2*u),(-p-m)/(2*u)],0===o?new i(e.COORDS_BY_USER,[-g[0]*-d[1]-c*d[0],-g[0]*d[0]-c*d[1]],n):new i(e.COORDS_BY_USER,[-g[1]*-d[1]-c*d[0],-g[1]*d[0]-c*d[1]],n)):new i(e.COORDS_BY_USER,[0,0,0],n))},meetCircleCircle:function(t,s,o,n){var a;return t[4]<r.eps?Math.abs(this.distance(t.slice(6,2),s.slice(6,8))-s[4])<r.eps?new i(e.COORDS_BY_USER,t.slice(6,8),n):new i(e.COORDS_BY_USER,[0,0,0],n):s[4]<r.eps?Math.abs(this.distance(s.slice(6,2),t.slice(6,8))-t[4])<r.eps?new i(e.COORDS_BY_USER,s.slice(6,8),n):new i(e.COORDS_BY_USER,[0,0,0],n):(a=[s[3]*t[0]-t[3]*s[0],s[3]*t[1]-t[3]*s[1],s[3]*t[2]-t[3]*s[2],0,1,1/0,1/0,1/0],a=r.normalize(a),this.meetLineCircle(a,t,o,n))},meetCurveCurve:function(t,r,n,a,h,l){var c;return c=o.exists(l)&&"newton"===l?s.generalizedNewton(t,r,n,a):3===t.bezierDegree&&3===r.bezierDegree?this.meetBezierCurveRedBlueSegments(t,r,n):this.meetCurveRedBlueSegments(t,r,n),new i(e.COORDS_BY_USER,c,h)},meetCurveLine:function(t,i,r,s,n){var a,h,l=[0,NaN,NaN];return o.exists(s)||(s=t.board),t.elementClass===e.OBJECT_CLASS_CURVE?(a=t,h=i):(a=i,h=t),l="plot"===a.visProp.curvetype?this.meetCurveLineDiscrete(a,h,r,s,!n):this.meetCurveLineContinuous(a,h,r,s)},meetCurveLineContinuous:function(t,o,n,a,h){var l,c,d,u,p,f,m,g,b,v,y,C,P,_=(r.eps,r.eps);for(u=this.meetCurveLineDiscrete(t,o,n,a,h),p=u.usrCoords[1],f=u.usrCoords[2],c=function(e){var i=p-t.X(e),r=f-t.Y(e);return i*i+r*r},d=function(e){var i=o.stdform[0]+o.stdform[1]*t.X(e)+o.stdform[2]*t.Y(e);return i*i},g=100,b=(t.maxX()-t.minX())/g,v=t.minX(),P=1e-4,C=NaN,y=0;g>y;y++)l=s.root(c,[v,v+b]),Math.abs(c(l))<=P&&(P=Math.abs(c(l)),C=l),v+=b;return l=C,l=s.root(d,[l-b,l+b]),m=Math.abs(d(l))>_?NaN:1,new i(e.COORDS_BY_USER,[m,t.X(l),t.Y(l)],a)},meetCurveLineContinuousOld:function(o,n,a,h){var l,c,d,u,p,f,m,g,b,v,y,C,P=10*r.eps;if(t.deprecated("Geometry.meetCurveLineContinuousOld()","Geometry.meetCurveLineContinuous()"),u=function(t){var e=n.stdform[0]+n.stdform[1]*o.X(t)+n.stdform[2]*o.Y(t);return e*e},this.meetCurveLineContinuous.t1memo?(b=this.meetCurveLineContinuous.t1memo,l=s.root(u,b)):(b=o.minX(),v=o.maxX(),l=s.root(u,[b,v])),this.meetCurveLineContinuous.t1memo=l,y=o.X(l),C=o.Y(l),1===a){if(this.meetCurveLineContinuous.t2memo&&(b=this.meetCurveLineContinuous.t2memo),c=s.root(u,b),!(Math.abs(c-l)>.1&&Math.abs(y-o.X(c))>.1&&Math.abs(C-o.Y(c))>.1))for(m=20,g=(o.maxX()-o.minX())/m,f=o.minX(),d=0;m>d&&(c=s.root(u,[f,f+g]),!(Math.abs(u(c))<=P&&Math.abs(c-l)>.1&&Math.abs(y-o.X(c))>.1&&Math.abs(C-o.Y(c))>.1));d++)f+=g;l=c,this.meetCurveLineContinuous.t2memo=l}return p=Math.abs(u(l))>P?NaN:1,new i(e.COORDS_BY_USER,[p,o.X(l),o.Y(l)],h)},meetCurveLineDiscrete:function(t,s,o,n,a){var h,l,c,d,u,p,f,m,g=s.point1.coords.usrCoords,b=s.point2.coords.usrCoords,v=0,y=t.numberPoints;for(p=new i(e.COORDS_BY_USER,[0,NaN,NaN],n),0===g[0]?g=[1,b[1]+s.stdform[2],b[2]-s.stdform[1]]:0===b[0]&&(b=[1,g[1]+s.stdform[2],g[2]-s.stdform[1]]),d=t.points[0].usrCoords,h=1;y>h;h++)if(c=d.slice(0),d=t.points[h].usrCoords,f=this.distance(c,d),f>r.eps)for(3===t.bezierDegree?(m=this.meetBeziersegmentBeziersegment([t.points[h-1].usrCoords.slice(1),t.points[h].usrCoords.slice(1),t.points[h+1].usrCoords.slice(1),t.points[h+2].usrCoords.slice(1)],[g.slice(1),b.slice(1)],a),h+=2):m=[this.meetSegmentSegment(c,d,g,b)],l=0;l<m.length;l++)if(u=m[l],0<=u[1]&&u[1]<=1){if(v===o)return a&&(!s.visProp.straightfirst&&u[2]<0||!s.visProp.straightlast&&u[2]>1)?p:p=new i(e.COORDS_BY_USER,u[0],n);v+=1}return p},meetCurveRedBlueSegments:function(t,e,i){var r,s,o,n,a,h,l,c,d,u=0,p=e.numberPoints,f=t.numberPoints;if(1>=p||1>=f)return[0,NaN,NaN];for(r=1;f>r;r++)for(o=t.points[r-1].usrCoords,n=t.points[r].usrCoords,c=Math.min(o[1],n[1]),d=Math.max(o[1],n[1]),h=e.points[0].usrCoords,s=1;p>s;s++)if(a=h,h=e.points[s].usrCoords,Math.min(a[1],h[1])<d&&Math.max(a[1],h[1])>c&&(l=this.meetSegmentSegment(o,n,a,h),l[1]>=0&&l[2]>=0&&(l[1]<1&&l[2]<1||r===f-1&&1===l[1]||s===p-1&&1===l[2]))){if(u===i)return l[0];u++}return[0,NaN,NaN]},meetSegmentSegment:function(t,e,i,s){var o,n,a,h=r.crossProduct(t,e),l=r.crossProduct(i,s),c=r.crossProduct(h,l),d=c[0];return Math.abs(d)<r.eps?[c,1/0,1/0]:(a=[i[1]-t[1],i[2]-t[2]],o=(a[0]*(s[2]-i[2])-a[1]*(s[1]-i[1]))/d,n=(a[0]*(e[2]-t[2])-a[1]*(e[1]-t[1]))/d,[c,o,n])},_bezierSplit:function(t){var e,i,r,s,o,n;return e=[.5*(t[0][0]+t[1][0]),.5*(t[0][1]+t[1][1])],i=[.5*(t[1][0]+t[2][0]),.5*(t[1][1]+t[2][1])],r=[.5*(t[2][0]+t[3][0]),.5*(t[2][1]+t[3][1])],s=[.5*(e[0]+i[0]),.5*(e[1]+i[1])],o=[.5*(i[0]+r[0]),.5*(i[1]+r[1])],n=[.5*(s[0]+o[0]),.5*(s[1]+o[1])],[[t[0],e,s,n],[n,o,r,t[3]]]},_bezierBbox:function(t){var e=[];return 4===t.length?(e[0]=Math.min(t[0][0],t[1][0],t[2][0],t[3][0]),e[1]=Math.max(t[0][1],t[1][1],t[2][1],t[3][1]),e[2]=Math.max(t[0][0],t[1][0],t[2][0],t[3][0]),e[3]=Math.min(t[0][1],t[1][1],t[2][1],t[3][1])):(e[0]=Math.min(t[0][0],t[1][0]),e[1]=Math.max(t[0][1],t[1][1]),e[2]=Math.max(t[0][0],t[1][0]),e[3]=Math.min(t[0][1],t[1][1])),e},_bezierOverlap:function(t,e){return t[2]>=e[0]&&t[0]<=e[2]&&t[1]>=e[3]&&t[3]<=e[1]},_bezierListConcat:function(t,e,i,r){var s,n=o.exists(r),a=0,h=e.length,l=t.length;for(l>0&&h>0&&(1===t[l-1][1]&&0===e[0][1]||n&&1===t[l-1][2]&&0===e[0][2])&&(a=1),s=a;h>s;s++)n&&(e[s][2]*=.5,e[s][2]+=r),e[s][1]*=.5,e[s][1]+=i,t.push(e[s])},_bezierMeetSubdivision:function(t,e,i){var r,s,o,n,a,h,l,c,d,u,p,f,m=[],g=5;return s=this._bezierBbox(e),r=this._bezierBbox(t),this._bezierOverlap(s,r)?g>i?(o=this._bezierSplit(t),h=o[0],l=o[1],o=this._bezierSplit(e),n=o[0],a=o[1],this._bezierListConcat(m,this._bezierMeetSubdivision(h,n,i+1),0,0),this._bezierListConcat(m,this._bezierMeetSubdivision(h,a,i+1),0,.5),this._bezierListConcat(m,this._bezierMeetSubdivision(l,n,i+1),.5,0),this._bezierListConcat(m,this._bezierMeetSubdivision(l,a,i+1),.5,.5),m):(p=[1].concat(t[0]),f=[1].concat(t[3]),d=[1].concat(e[0]),u=[1].concat(e[3]),c=this.meetSegmentSegment(p,f,d,u),c[1]>=0&&c[2]>=0&&c[1]<=1&&c[2]<=1?[c]:[]):[]},_bezierLineMeetSubdivision:function(t,e,i,r){var s,o,n,a,h,l,c,d,u,p,f=[],m=5;return s=this._bezierBbox(e),o=this._bezierBbox(t),r&&!this._bezierOverlap(o,s)?[]:m>i?(n=this._bezierSplit(t),a=n[0],h=n[1],this._bezierListConcat(f,this._bezierLineMeetSubdivision(a,e,i+1),0),this._bezierListConcat(f,this._bezierLineMeetSubdivision(h,e,i+1),.5),f):(u=[1].concat(t[0]),p=[1].concat(t[3]),c=[1].concat(e[0]),d=[1].concat(e[1]),l=this.meetSegmentSegment(u,p,c,d),l[1]>=0&&l[1]<=1&&(!r||l[2]>=0&&l[2]<=1)?[l]:[])},meetBeziersegmentBeziersegment:function(t,e,i){var r,s,o;for(r=4===t.length&&4===e.length?this._bezierMeetSubdivision(t,e,0):this._bezierLineMeetSubdivision(t,e,0,i),r.sort(function(t,e){return 1e7*(t[1]-e[1])+(t[2]-e[2])}),s=[],o=0;o<r.length;o++)(0===o||r[o][1]!==r[o-1][1]||r[o][2]!==r[o-1][2])&&s.push(r[o]);return s},meetBezierCurveRedBlueSegments:function(t,e,i){var r,s,o,n,a,h,l,c=e.numberPoints,d=t.numberPoints,u=[];if(4>c||4>d)return[0,NaN,NaN];for(s=0;d-3>s;s+=3)for(r=t.points,n=[[r[s].usrCoords[1],r[s].usrCoords[2]],[r[s+1].usrCoords[1],r[s+1].usrCoords[2]],[r[s+2].usrCoords[1],r[s+2].usrCoords[2]],[r[s+3].usrCoords[1],r[s+3].usrCoords[2]]],h=this._bezierBbox(n),o=0;c-3>o;o+=3)if(r=e.points,a=[[r[o].usrCoords[1],r[o].usrCoords[2]],[r[o+1].usrCoords[1],r[o+1].usrCoords[2]],[r[o+2].usrCoords[1],r[o+2].usrCoords[2]],[r[o+3].usrCoords[1],r[o+3].usrCoords[2]]],l=this._bezierBbox(a),this._bezierOverlap(h,l)&&(u=u.concat(this.meetBeziersegmentBeziersegment(n,a)),u.length>i))return u[i][0];return u.length>i?u[i][0]:[0,NaN,NaN]},bezierSegmentEval:function(t,e){var i,r,s,o=1-t;return r=0,s=0,i=o*o*o,r+=i*e[0][0],s+=i*e[0][1],i=3*t*o*o,r+=i*e[1][0],s+=i*e[1][1],i=3*t*t*o,r+=i*e[2][0],s+=i*e[2][1],i=t*t*t,r+=i*e[3][0],s+=i*e[3][1],[1,r,s]},bezierArc:function(t,e,i,s,o){var n,a,h,l,c,d,u,p,f,m,g,b,v,y,C,P,_,S=.5*Math.PI,E=e[1],x=e[2],w=e[0],O=[],T=[];for(c=this.distance(e,t),E/=w,x/=w,d=this.rad(t.slice(1),e.slice(1),i.slice(1)),-1===o&&(d=2*Math.PI-d),n=t,n[1]/=n[0],n[2]/=n[0],n[0]/=n[0],l=n.slice(0),s?(O=[E,E+.333*(n[1]-E),E+.666*(n[1]-E),n[1]],T=[x,x+.333*(n[2]-x),x+.666*(n[2]-x),n[2]]):(O=[n[1]],T=[n[2]]);d>r.eps;)d>S?(u=S,d-=S):(u=d,d=0),p=Math.cos(o*u),f=Math.sin(o*u),_=[[1,0,0],[E*(1-p)+x*f,p,-f],[x*(1-p)-E*f,f,p]],C=r.matVecMult(_,n),l=[C[0]/C[0],C[1]/C[0],C[2]/C[0]],m=n[1]-E,g=n[2]-x,b=l[1]-E,v=l[2]-x,P=Math.sqrt((m+b)*(m+b)+(g+v)*(g+v)),y=Math.abs(v-g)>r.eps?(m+b)*(c/P-.5)/(v-g)*8/3:(g+v)*(c/P-.5)/(m-b)*8/3,a=[1,n[1]-y*g,n[2]+y*m],h=[1,l[1]+y*v,l[2]-y*b],O=O.concat([a[1],h[1],l[1]]),T=T.concat([a[2],h[2],l[2]]),n=l.slice(0);return s&&(O=O.concat([l[1]+.333*(E-l[1]),l[1]+.666*(E-l[1]),E]),T=T.concat([l[2]+.333*(x-l[2]),l[2]+.666*(x-l[2]),x])),[O,T]},projectPointToCircle:function(t,s,n){var a,h,l,c,d,u=s.center.coords.usrCoords;return o.exists(n)||(n=t.board),o.isPoint(t)?(a=t.coords.distance(e.COORDS_BY_USER,s.center.coords),h=t.coords.usrCoords):(a=t.distance(e.COORDS_BY_USER,s.center.coords),h=t.usrCoords),Math.abs(a)<r.eps&&(a=r.eps),d=s.Radius()/a,l=u[1]+d*(h[1]-u[1]),c=u[2]+d*(h[2]-u[2]),new i(e.COORDS_BY_USER,[l,c],n)},projectPointToLine:function(t,s,n){var a=[0,s.stdform[1],s.stdform[2]];return o.exists(n)||(n=t.board),a=r.crossProduct(a,t.coords.usrCoords),new i(e.COORDS_BY_USER,r.crossProduct(a,s.stdform),n)},projectCoordsToSegment:function(t,e,i){var s,o,n=[i[1]-e[1],i[2]-e[2]],a=[t[1]-e[1],t[2]-e[2]];return Math.abs(n[0])<r.eps&&Math.abs(n[1])<r.eps?[e,0]:(s=r.innerProduct(a,n),o=r.innerProduct(n,n),s/=o,[[1,s*n[0]+e[1],s*n[1]+e[2]],s])},projectCoordsToBeziersegment:function(e,i,r){var s,o=function(t){var s=[1,i.X(r+t),i.Y(r+t)];return s[1]-=e[1],s[2]-=e[2],s[1]*s[1]+s[2]*s[2]};return s=t.Math.Numerics.fminbr(o,[0,1]),[[1,i.X(s+r),i.Y(s+r)],s]},projectPointToCurve:function(t,e,i){o.exists(i)||(i=t.board);var r=t.X(),s=t.Y(),n=t.position||0,a=this.projectCoordsToCurve(r,s,n,e,i);return t.position=a[1],a[0]},projectCoordsToCurve:function(t,r,n,a,h){var l,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E,x,w,O,T=Number.POSITIVE_INFINITY;if(o.exists(h)||(h=a.board),"plot"===a.visProp.curvetype){if(n=0,p=T,l=0===a.numberPoints?[0,1,1]:[a.Z(0),a.X(0),a.Y(0)],a.numberPoints>1)for(g=[1,t,r],3===a.bezierDegree?u=0:y=[a.Z(0),a.X(0),a.Y(0)],d=0;d<a.numberPoints-1;d++)3===a.bezierDegree?P=this.projectCoordsToBeziersegment(g,a,u):(C=[a.Z(d+1),a.X(d+1),a.Y(d+1)],P=this.projectCoordsToSegment(g,y,C)),m=P[1],b=P[0],m>=0&&1>=m?(f=this.distance(b,g),v=d+m):0>m?(b=y,f=this.distance(y,g),v=d):m>1&&d===a.numberPoints-2&&(b=C,f=this.distance(b,g),v=a.numberPoints-1),p>f&&(p=f,n=v,l=b),3===a.bezierDegree?(u++,d+=2):y=C;c=new i(e.COORDS_BY_USER,l,h)}else{for(_=function(e){var i=t-a.X(e),s=r-a.Y(e);return i*i+s*s},x=_(n),O=50,w=(a.maxX()-a.minX())/O,S=a.minX(),d=0;O>d;d++)E=_(S),(x>E||isNaN(x))&&(n=S,x=E),S+=w;n=s.fminbr(_,[n-w,n+w]),n<a.minX()&&(n=a.maxX()+n-a.minX()),n>a.maxX()&&(n=a.minX()+n-a.maxX()),c=new i(e.COORDS_BY_USER,[a.X(n),a.Y(n)],h)}return[a.updateTransform(c),n]},projectCoordsToPolygon:function(e,i){var r,s,o,n,a=i.vertices.length,h=1/0;for(r=0;a>r;r++)o=t.Math.Geometry.projectCoordsToSegment(e,i.vertices[r].coords.usrCoords,i.vertices[(r+1)%a].coords.usrCoords),s=t.Math.Geometry.distance(o[0],e,3),0<=o[1]&&o[1]<=1&&h>s&&(n=o[0].slice(0),h=s);return n},projectPointToTurtle:function(t,r,s){var n,a,h,l,c,d,u,p,f=0,m=0,g=Number.POSITIVE_INFINITY,b=r.objects.length;for(o.exists(s)||(s=t.board),c=0;b>c;c++)u=r.objects[c],u.elementClass===e.OBJECT_CLASS_CURVE&&(n=this.projectPointToCurve(t,u),d=this.distance(n.usrCoords,t.coords.usrCoords),g>d&&(h=n.usrCoords[1],l=n.usrCoords[2],a=t.position,g=d,p=u,m=f),f+=u.numberPoints);return n=new i(e.COORDS_BY_USER,[h,l],s),t.position=a+m,p.updateTransform(n)},projectPointToPoint:function(t,e){return e.coords},projectPointToBoard:function(t,e){var i,s,o,n=e||t.board,a=[[1,1,0,0,3,0,1],[-1,2,1,0,1,2,1],[-1,1,2,2,1,2,3],[1,2,3,0,3,2,3]],h=t.coords||t,l=n.getBoundingBox();for(i=0;4>i;i++)o=a[i],o[0]*h.usrCoords[o[1]]<o[0]*l[o[2]]&&(s=r.crossProduct([1,l[o[3]],l[o[4]]],[1,l[o[5]],l[o[6]]]),s[3]=0,s=r.normalize(s),h=this.projectPointToLine({coords:h},{stdform:s},n));return h},distPointLine:function(t,e){var i,s=e[1],o=e[2],n=e[0];return Math.abs(s)+Math.abs(o)<r.eps?Number.POSITIVE_INFINITY:(i=s*t[1]+o*t[2]+n,s*=s,o*=o,Math.abs(i)/Math.sqrt(s+o))},reuleauxPolygon:function(t,e){var i,s=2*Math.PI,o=s/e,n=(e-1)/2,a=0,h=function(h,l){return function(c,d){var u=(c%s+s)%s,p=Math.floor(u/o)%e;return d||(a=t[0].Dist(t[n]),i=r.Geometry.rad([t[0].X()+1,t[0].Y()],t[0],t[n%e])),isNaN(p)?p:(u=.5*u+p*o*.5+i,t[p][h]()+a*Math[l](u))}};return[h("X","cos"),h("Y","sin"),0,s]}}),r.Geometry}),define("utils/zip",["jxg"],function(t){"use strict";var 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t.Util=t.Util||{},t.Util.Unzip=function(h){function l(){return j+=8,L>B?h[B++]:-1}function c(){Y=1}function d(){var t;try{return j++,t=1&Y,Y>>=1,0===Y&&(Y=l(),t=1&Y,Y=Y>>1|128),t}catch(e){throw e}}function u(t){var i=0,r=t;try{for(;r--;)i=i<<1|d();t&&(i=e[i]>>8-t)}catch(s){throw s}return i}function p(){k=0}function f(t){S++,A[k++]=t,T.push(String.fromCharCode(t)),32768===k&&(k=0)}function m(){this.b0=0,this.b1=0,this.jump=null,this.jumppos=-1}function g(){for(;;){if(U[F]>=w)return-1;if(x[U[F]]===F)return U[F]++;U[F]++}}function b(){var t,e=G[X];if(17===F)return-1;if(X++,F++,t=g(),t>=0)e.b0=t;else if(e.b0=32768,b())return-1;if(t=g(),t>=0)e.b1=t,e.jump=null;else if(e.b1=32768,e.jump=G[X],e.jumppos=X,b())return-1;return F--,0}function v(t,e,i,r){var s;for(G=t,X=0,x=i,w=e,s=0;17>s;s++)U[s]=0;return F=0,b()?-1:0}function y(t){for(var e,i,r,s=0,o=t[s];;)if(r=d()){if(!(32768&o.b1))return o.b1;for(o=o.jump,e=t.length,i=0;e>i;i++)if(t[i]===o){s=i;break}}else{if(!(32768&o.b0))return 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Array(32768),k=0,R=!1,L=h.length,B=0,Y=1,j=0,D=new Array(288),I=new Array(32),X=0,G=null,F=(new Array(64),new Array(64),0),U=new Array(17),J=[];U[0]=0,O=function(){var t,e,i,r,s,o,n=[];if(8&_&&(n[0]=l(),n[1]=l(),n[2]=l(),n[3]=l(),80===n[0]&&75===n[1]&&7===n[2]&&8===n[3]?(t=l(),t|=l()<<8,t|=l()<<16,t|=l()<<24):t=n[0]|n[1]<<8|n[2]<<16|n[3]<<24,e=l(),e|=l()<<8,e|=l()<<16,e|=l()<<24,i=l(),i|=l()<<8,i|=l()<<16,i|=l()<<24),R&&P(),n[0]=l(),8===n[0]){if(_=l(),l(),l(),l(),l(),l(),r=l(),4&_)for(n[0]=l(),n[2]=l(),F=n[0]+256*n[1],s=0;F>s;s++)l();if(8&_)for(s=0,J=[],o=l();o;)("7"===o||":"===o)&&(s=0),a-1>s&&(J[s++]=o),o=l();if(16&_)for(o=l();o;)o=l();2&_&&(l(),l()),C(),t=l(),t|=l()<<8,t|=l()<<16,t|=l()<<24,i=l(),i|=l()<<8,i|=l()<<16,i|=l()<<24,R&&P()}},t.Util.Unzip.prototype.unzipFile=function(t){var e;for(this.unzip(),e=0;e<M.length;e++)if(M[e][1]===t)return M[e][0];return""},t.Util.Unzip.prototype.unzip=function(){return P(),M}},t.Util}),define("utils/encoding",["jxg"],function(t){"use 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unescape&&"function"==typeof encodeURIComponent)return unescape(encodeURIComponent(t));for(e=0;s>e;e++)i=t.charCodeAt(e),128>i?r+=String.fromCharCode(i):i>127&&2048>i?(r+=String.fromCharCode(i>>6|192),r+=String.fromCharCode(63&i|128)):(r+=String.fromCharCode(i>>12|224),r+=String.fromCharCode(i>>6&63|128),r+=String.fromCharCode(63&i|128));return r},decode:function(t){var r,s,o,n=0,a=0,h=e,l=[],c=t.length,d=[];for(r=0;c>r;r++)s=t.charCodeAt(r),o=i[s],a=h!==e?63&s|a<<6:255>>o&s,h=i[256+h+o],h===e&&(a>65535?l.push(55232+(a>>10),56320+(1023&a)):l.push(a),n++,n%1e4===0&&(d.push(String.fromCharCode.apply(null,l)),l=[]));return d.push(String.fromCharCode.apply(null,l)),d.join("")},asciiCharCodeAt:function(t,e){var i=t.charCodeAt(e);if(i>255)switch(i){case 8364:i=128;break;case 8218:i=130;break;case 402:i=131;break;case 8222:i=132;break;case 8230:i=133;break;case 8224:i=134;break;case 8225:i=135;break;case 710:i=136;break;case 8240:i=137;break;case 352:i=138;break;case 8249:i=139;break;case 338:i=140;break;case 381:i=142;break;case 8216:i=145;break;case 8217:i=146;break;case 8220:i=147;break;case 8221:i=148;break;case 8226:i=149;break;case 8211:i=150;break;case 8212:i=151;break;case 732:i=152;break;case 8482:i=153;break;case 353:i=154;break;case 8250:i=155;break;case 339:i=156;break;case 382:i=158;break;case 376:i=159}return i}},t.Util.UTF8}),define("utils/base64",["jxg","utils/encoding"],function(t,e){"use strict";function i(t,e){return 255&t.charCodeAt(e)}function r(t,e){return s.indexOf(t.charAt(e))}var s="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",o="=";return t.Util=t.Util||{},t.Util.Base64={encode:function(t){var r,n,a,h,l,c=[];for(l=e.encode(t),a=l.length,h=a%3,r=0;a-h>r;r+=3)n=i(l,r)<<16|i(l,r+1)<<8|i(l,r+2),c.push(s.charAt(n>>18),s.charAt(n>>12&63),s.charAt(n>>6&63),s.charAt(63&n));switch(h){case 1:n=i(l,a-1),c.push(s.charAt(n>>2),s.charAt(n<<4&63),o,o);break;case 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t.Server={modules:{},runningCalls:{},handleError:function(e){t.debug("error occured, server says: "+e.message)},callServer:function(s,o,n,a){var h,l,c,d,u,p,f;a=a||!1,d="";for(f in n)n.hasOwnProperty(f)&&(d+="&"+escape(f)+"="+escape(n[f]));p=r.toJSON(n);do u=s+Math.floor(4096*Math.random());while(r.exists(this.runningCalls[u]));return this.runningCalls[u]={action:s},r.exists(n.module)&&(this.runningCalls[u].module=n.module),h=t.serverBase+"JXGServer.py",l="action="+escape(s)+"&id="+u+"&dataJSON="+escape(i.encode(p)),this.cbp=function(t){var s,n,a,h,l,c,d,u;if(s=new e.Unzip(i.decodeAsArray(t)).unzip(),r.isArray(s)&&s.length>0&&(s=s[0][0]),r.exists(s))if(n=window.JSON&&window.JSON.parse?window.JSON.parse(s):new Function("return "+s)(),"error"===n.type)this.handleError(n);else if("response"===n.type){for(c=n.id,d=0;d<n.fields.length;d++)a=n.fields[d],h=a.namespace+("object"==typeof new Function("return "+a.namespace)()?".":".prototype.")+a.name+" = "+a.value,new 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XMLHttpRequest,c.overrideMimeType("text/plain; charset=iso-8859-1")):c=new ActiveXObject("Microsoft.XMLHTTP"),c&&(c.open("POST",h,!a),c.setRequestHeader("Content-type","application/x-www-form-urlencoded"),a||(c.onreadystatechange=function(t){return function(){return 4===c.readyState&&200===c.status?(t(c.responseText),!0):!1}}(this.cb)),c.send(l),a)?(this.cb(c.responseText),!0):!1},loadModule_cb:function(e){var i;for(i=0;i<e.length;i++)t.debug(e[i].name+": "+e[i].value)},loadModule:function(e){return t.Server.callServer("load",t.Server.loadModule_cb,{module:e},!0)}},t.Server.load=t.Server.loadModule,t.Server}),define("math/symbolic",["base/constants","base/coords","math/math","math/geometry","server/server","utils/type"],function(t,e,i,r,s,o){"use strict";var n;return i.Symbolic={generateSymbolicCoordinatesPartial:function(t,e,i,r){var s,n,a,h=e.ancestors,l=0,c=function(t){var e;return e="underscore"===r?i+"_{"+t+"}":"brace"===r?i+"["+t+"]":i+t};t.listOfFreePoints=[],t.listOfDependantPoints=[];for(n in h)if(h.hasOwnProperty(n)&&(s=0,o.isPoint(h[n]))){for(a in h[n].ancestors)h[n].ancestors.hasOwnProperty(a)&&s++;0===s?(h[n].symbolic.x=h[n].coords.usrCoords[1],h[n].symbolic.y=h[n].coords.usrCoords[2],t.listOfFreePoints.push(h[n])):(l+=1,h[n].symbolic.x=c(l),l+=1,h[n].symbolic.y=c(l),t.listOfDependantPoints.push(h[n]))}return o.isPoint(e)&&(e.symbolic.x="x",e.symbolic.y="y"),l},clearSymbolicCoordinates:function(t){var e=function(t){var e,i=t&&t.length||0;for(e=0;i>e;e++)o.isPoint(t[e])&&(t[e].symbolic.x="",t[e].symbolic.y="")};e(t.listOfFreePoints),e(t.listOfDependantPoints),delete t.listOfFreePoints,delete t.listOfDependantPoints},generatePolynomials:function(t,e,i){var r,s,n,a,h=e.ancestors,l=[],c=[];i&&this.generateSymbolicCoordinatesPartial(t,e,"u","brace"),h[e.id]=e;for(r in h)if(h.hasOwnProperty(r)&&(a=0,l=[],o.isPoint(h[r]))){for(s in h[r].ancestors)h[r].ancestors.hasOwnProperty(s)&&a++;if(a>0)for(l=h[r].generatePolynomial(),n=0;n<l.length;n++)c.push(l[n])}return i&&this.clearSymbolicCoordinates(t),c},geometricLocusByGroebnerBase:function(a,h){var l,c,d,u,p,f,m,g,b,v,y,C,P,_=a.options.locus,S={},E=this.generateSymbolicCoordinatesPartial(a,h,"u","brace"),x=new e(t.COORDS_BY_USR,[0,0],a),w=new e(t.COORDS_BY_USR,[a.canvasWidth,a.canvasHeight],a),O=1,T=0,N=0,M=0;if(s.modules.geoloci===n&&s.loadModule("geoloci"),s.modules.geoloci===n)throw new Error("JSXGraph: Unable to load JXG.Server module 'geoloci.py'.");if(m=x.usrCoords[1],g=w.usrCoords[1],b=w.usrCoords[2],v=x.usrCoords[2],_.translateToOrigin&&a.listOfFreePoints.length>0){for(u=_.toOrigin!==n&&null!==_.toOrigin&&o.isInArray(a.listOfFreePoints,_.toOrigin.id)?_.toOrigin:a.listOfFreePoints[0],T=u.symbolic.x,N=u.symbolic.y,f=0;f<a.listOfFreePoints.length;f++)a.listOfFreePoints[f].symbolic.x-=T,a.listOfFreePoints[f].symbolic.y-=N;if(m-=T,g-=T,b-=N,v-=N,_.translateTo10&&a.listOfFreePoints.length>1){for(p=_.to10!==n&&null!==_.to10&&_.to10.id!==_.toOrigin.id&&o.isInArray(a.listOfFreePoints,_.to10.id)?_.to10:a.listOfFreePoints[0].id===u.id?a.listOfFreePoints[1]:a.listOfFreePoints[0],M=r.rad([1,0],[0,0],[p.symbolic.x,p.symbolic.y]),y=Math.cos(-M),C=Math.sin(-M),f=0;f<a.listOfFreePoints.length;f++)P=a.listOfFreePoints[f].symbolic.x,a.listOfFreePoints[f].symbolic.x=y*a.listOfFreePoints[f].symbolic.x-C*a.listOfFreePoints[f].symbolic.y,a.listOfFreePoints[f].symbolic.y=C*P+y*a.listOfFreePoints[f].symbolic.y;if(p.symbolic.y=0,P=m,m=y*m-C*b,b=C*P+y*b,P=g,g=y*g-C*v,v=C*P+y*v,_.stretch&&Math.abs(p.symbolic.x)>i.eps){for(O=p.symbolic.x,f=0;f<a.listOfFreePoints.length;f++)a.listOfFreePoints[f].symbolic.x/=O,a.listOfFreePoints[f].symbolic.y/=O;for(f=0;f<a.objectsList.length;f++)a.objectsList[f].elementClass===t.OBJECT_CLASS_CIRCLE&&"pointRadius"===a.objectsList[f].method&&(S[f]=a.objectsList[f].radius,a.objectsList[f].radius/=O);m/=O,g/=O,b/=O,v/=O,p.symbolic.x=1}}for(f=0;f<a.listOfFreePoints.length;f++)P=a.listOfFreePoints[f].symbolic.x,Math.abs(P)<i.eps&&(a.listOfFreePoints[f].symbolic.x=0),
Math.abs(P-Math.round(P))<i.eps&&(a.listOfFreePoints[f].symbolic.x=Math.round(P)),P=a.listOfFreePoints[f].symbolic.y,Math.abs(P)<i.eps&&(a.listOfFreePoints[f].symbolic.y=0),Math.abs(P-Math.round(P))<i.eps&&(a.listOfFreePoints[f].symbolic.y=Math.round(P))}l=this.generatePolynomials(a,h),c=l.join(","),this.cbp=function(t){d=t},this.cb=o.bind(this.cbp,this),s.modules.geoloci.lociCoCoA(m,g,b,v,E,c,O,M,T,N,this.cb,!0),this.clearSymbolicCoordinates(a);for(f in S)S.hasOwnProperty(f)&&(a.objects[f].radius=S[f]);return d}},i.Symbolic}),define("math/poly",["jxg","math/math","utils/type"],function(t,e,i){"use strict";return e.Poly={},e.Poly.Ring=function(t){this.vars=t},t.extend(e.Poly.Ring.prototype,{}),e.Poly.Monomial=function(t,e,r){var s;if(!i.exists(t))throw new Error("JSXGraph error: In JXG.Math.Poly.monomial missing parameter 'ring'.");for(i.isArray(r)||(r=[]),r=r.slice(0,t.vars.length),s=r.length;s<t.vars.length;s++)r.push(0);this.ring=t,this.coefficient=e||0,this.exponents=i.deepCopy(r)},t.extend(e.Poly.Monomial.prototype,{copy:function(){return new e.Poly.Monomial(this.ring,this.coefficient,this.exponents)},print:function(){var t,e=[];for(t=0;t<this.ring.vars.length;t++)e.push(this.ring.vars[t]+"^"+this.exponents[t]);return this.coefficient+"*"+e.join("*")}}),e.Poly.Polynomial=function(t,e){var r,s=function(){};if(!i.exists(t))throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial missing parameter 'ring'.");r=i.exists(e)&&i.isString(e)?s(e):[],this.ring=t,this.monomials=r},t.extend(e.Poly.Polynomial.prototype,{findSignature:function(t){var e;for(e=0;e<this.monomials.length;e++)if(i.cmpArrays(this.monomials[e].exponents,t))return e;return-1},addSubMonomial:function(t,e){var i;i=this.findSignature(t.exponents),i>-1?this.monomials[i].coefficient+=e*t.coefficient:(t.coefficient*=e,this.monomials.push(t))},add:function(t){var e;if(!i.exists(t)||t.ring!==this.ring)throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.add either summand is undefined or rings don't match.");if(i.isArray(t.exponents))this.addSubMonomial(t,1);else for(e=0;e<t.monomials.length;e++)this.addSubMonomial(t.monomials[e],1)},sub:function(t){var e;if(!i.exists(t)||t.ring!==this.ring)throw new Error("JSXGraph error: In JXG.Math.Poly.polynomial.sub either summand is undefined or rings don't match.");if(i.isArray(t.exponents))this.addSubMonomial(t,-1);else for(e=0;e<t.monomials.length;e++)this.addSubMonomial(t.monomials[e],-1)},copy:function(){var t,i;for(i=new e.Poly.Polynomial(this.ring),t=0;t<this.monomials.length;t++)i.monomials.push(this.monomials[t].copy());return i},print:function(){var t,e=[];for(t=0;t<this.monomials.length;t++)e.push("("+this.monomials[t].print()+")");return e.join("+")}}),e.Poly}),define("math/complex",["jxg","utils/type"],function(t,e){"use strict";return t.Complex=function(t,e){this.isComplex=!0,t&&t.isComplex&&(e=t.imaginary,t=t.real),this.real=t||0,this.imaginary=e||0,this.absval=0,this.angle=0},t.extend(t.Complex.prototype,{toString:function(){return this.real+" + "+this.imaginary+"i"},add:function(t){return e.isNumber(t)?this.real+=t:(this.real+=t.real,this.imaginary+=t.imaginary),this},sub:function(t){return e.isNumber(t)?this.real-=t:(this.real-=t.real,this.imaginary-=t.imaginary),this},mult:function(t){var i,r;return e.isNumber(t)?(this.real*=t,this.imaginary*=t):(i=this.real,r=this.imaginary,this.real=i*t.real-r*t.imaginary,this.imaginary=i*t.imaginary+r*t.real),this},div:function(t){var i,r,s;if(e.isNumber(t)){if(Math.abs(t)<Math.eps)return this.real=1/0,this.imaginary=1/0,this;this.real/=t,this.imaginary/=t}else{if(Math.abs(t.real)<Math.eps&&Math.abs(t.imaginary)<Math.eps)return this.real=1/0,this.imaginary=1/0,this;i=t.real*t.real+t.imaginary*t.imaginary,s=this.real,r=this.imaginary,this.real=(s*t.real+r*t.imaginary)/i,this.imaginary=(r*t.real-s*t.imaginary)/i}return this},conj:function(){return this.imaginary*=-1,this}}),t.C={},t.C.add=function(e,i){var r=new t.Complex(e);return r.add(i),r},t.C.sub=function(e,i){var r=new t.Complex(e);return r.sub(i),r},t.C.mult=function(e,i){var r=new t.Complex(e);return r.mult(i),r},t.C.div=function(e,i){var r=new t.Complex(e);return r.div(i),r},t.C.conj=function(e){var i=new t.Complex(e);return i.conj(),i},t.C.abs=function(e){var i=new t.Complex(e);return i.conj(),i.mult(e),Math.sqrt(i.real)},t.Complex.C=t.C,t.Complex}),define("utils/color",["jxg","utils/type","math/math"],function(t,e,i){"use strict";var r={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"},s=[{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(t){return[parseInt(t[1],10),parseInt(t[2],10),parseInt(t[3],10)]}},{re:/^\s*rgb\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*\)\s*$/,example:["rgb(123, 234, 45)","rgb(255,234,245)"],process:function(t){return[parseInt(t[1],10),parseInt(t[2],10),parseInt(t[3],10)]}},{re:/^(\w{2})(\w{2})(\w{2})$/,example:["#00ff00","336699"],process:function(t){return[parseInt(t[1],16),parseInt(t[2],16),parseInt(t[3],16)]}},{re:/^(\w{1})(\w{1})(\w{1})$/,example:["#fb0","f0f"],process:function(t){return[parseInt(t[1]+t[1],16),parseInt(t[2]+t[2],16),parseInt(t[3]+t[3],16)]}}];return t.rgbParser=function(t,i,o){var n,a,h,l,c,d,u,p,f,m,g=t;if(!e.exists(t))return[];if(e.exists(i)&&e.exists(o)&&(g=[t,i,o]),n=g,m=!1,e.isArray(n)){for(d=0;3>d;d++)m=m||/\./.test(g[d].toString());for(d=0;3>d;d++)m=m&&g[d]>=0&&g[d]<=1;return m?[Math.ceil(255*g[0]),Math.ceil(255*g[1]),Math.ceil(255*g[2])]:g}for("string"==typeof g&&(n=g),"#"===n.charAt(0)&&(n=n.substr(1,6)),n=n.replace(/ /g,"").toLowerCase(),n=r[n]||n,d=0;d<s.length;d++)h=s[d].re,l=s[d].process,c=h.exec(n),c&&(a=l(c),u=a[0],p=a[1],f=a[2]);return isNaN(u)||isNaN(p)||isNaN(f)?[]:(u=0>u||isNaN(u)?0:u>255?255:u,p=0>p||isNaN(p)?0:p>255?255:p,f=0>f||isNaN(f)?0:f>255?255:f,[u,p,f])},t.rgb2css=function(e,i,r){var s;return s=t.rgbParser(e,i,r),"rgb("+s[0]+", "+s[1]+", "+s[2]+")"},t.rgb2hex=function(e,i,r){var s,o,n;return s=t.rgbParser(e,i,r),o=s[1],n=s[2],s=s[0],s=s.toString(16),o=o.toString(16),n=n.toString(16),1===s.length&&(s="0"+s),1===o.length&&(o="0"+o),1===n.length&&(n="0"+n),"#"+s+o+n},t.hex2rgb=function(e){return t.deprecated("JXG.hex2rgb()","JXG.rgb2css()"),t.rgb2css(e)},t.hsv2rgb=function(t,e,r){var s,o,n,a,h,l,c,d,u;if(t=(t%360+360)%360,0===e){if(!(isNaN(t)||t<i.eps))return"#ffffff";s=r,o=r,n=r}else switch(l=t>=360?0:t,l/=60,h=Math.floor(l),a=l-h,c=r*(1-e),d=r*(1-e*a),u=r*(1-e*(1-a)),h){case 0:s=r,o=u,n=c;break;case 1:s=d,o=r,n=c;break;case 2:s=c,o=r,n=u;break;case 3:s=c,o=d,n=r;break;case 4:s=u,o=c,n=r;break;case 5:s=r,o=c,n=d}return s=Math.round(255*s).toString(16),s=2===s.length?s:1===s.length?"0"+s:"00",o=Math.round(255*o).toString(16),o=2===o.length?o:1===o.length?"0"+o:"00",n=Math.round(255*n).toString(16),n=2===n.length?n:1===n.length?"0"+n:"00",["#",s,o,n].join("")},t.rgb2hsv=function(e,i,r){var s,o,n,a,h,l,c,d,u,p,f,m,g;return s=t.rgbParser(e,i,r),o=s[1],n=s[2],s=s[0],a=s/255,h=o/255,l=n/255,m=Math.max(s,o,n),g=Math.min(s,o,n),c=m/255,d=g/255,f=c,p=0,f>0&&(p=(f-d)/f),u=1/(c-d),p>0&&(u=m===s?(h-l)*u:m===o?2+(l-a)*u:4+(a-h)*u),u*=60,0>u&&(u+=360),m===g&&(u=0),[u,p,f]},t.rgb2LMS=function(e,i,r){var s,o,n,a,h,l,c,d=[[.05059983,.08585369,.0095242],[.01893033,.08925308,.01370054],[.00292202,.00975732,.07145979]];return s=t.rgbParser(e,i,r),o=s[1],n=s[2],s=s[0],s=Math.pow(s,.476190476),o=Math.pow(o,.476190476),n=Math.pow(n,.476190476),a=s*d[0][0]+o*d[0][1]+n*d[0][2],h=s*d[1][0]+o*d[1][1]+n*d[1][2],l=s*d[2][0]+o*d[2][1]+n*d[2][2],c=[a,h,l],c.l=a,c.m=h,c.s=l,c},t.LMS2rgb=function(t,e,i){var r,s,o,n,a=[[30.830854,-29.832659,1.610474],[-6.481468,17.715578,-2.532642],[-.37569,-1.199062,14.273846]],h=function(t){for(var e=127,i=64;i>0;){if(Math.pow(e,.476190476)>t)e-=i;else{if(Math.pow(e+1,.476190476)>t)return e;e+=i}i/=2}return 254===e&&t>13.994955247?255:e};return r=t*a[0][0]+e*a[0][1]+i*a[0][2],s=t*a[1][0]+e*a[1][1]+i*a[1][2],o=t*a[2][0]+e*a[2][1]+i*a[2][2],r=h(r),s=h(s),o=h(o),n=[r,s,o],n.r=r,n.g=s,n.b=o,n},t.rgba2rgbo=function(t){var e;return 9===t.length&&"#"===t.charAt(0)?(e=parseInt(t.substr(7,2).toUpperCase(),16)/255,t=t.substr(0,7)):e=1,[t,e]},t.rgbo2rgba=function(t,e){var i;return"none"===t?t:(i=Math.round(255*e).toString(16),1===i.length&&(i="0"+i),t+i)},t.rgb2bw=function(e){var i,r,s,o="0123456789ABCDEF";return"none"===e?e:(s=t.rgbParser(e),i=Math.floor(.3*s[0]+.59*s[1]+.11*s[2]),r=o.charAt(i>>4&15)+o.charAt(15&i),e="#"+r+r+r)},t.rgb2cb=function(e,i){var r,s,o,n,a,h,l,c,d,u,p,f,m,g="0123456789ABCDEF";if("none"===e)return e;switch(a=t.rgb2LMS(e),s=a[0],o=a[1],n=a[2],i=i.toLowerCase()){case"protanopia":l=-.06150039994295001,c=.08277001656812001,d=-.013200141220000003,u=.05858939668799999,p=-.07934519995360001,f=.013289415272000003,m=.6903216543277437,h=n/o,s=m>h?-(c*o+d*n)/l:-(p*o+f*n)/u;break;case"tritanopia":l=-.00058973116217,c=.007690316482,d=-.01011703519052,u=.025495080838999994,p=-.0422740347,f=.017005316784,m=.8349489908460004,h=o/s,n=m>h?-(l*s+c*o)/d:-(u*s+p*o)/f;break;default:l=-.06150039994295001,c=.08277001656812001,d=-.013200141220000003,u=.05858939668799999,p=-.07934519995360001,f=.013289415272000003,m=.5763833686400911,h=n/s,o=m>h?-(l*s+d*n)/c:-(u*s+f*n)/p}return r=t.LMS2rgb(s,o,n),h=g.charAt(r[0]>>4&15)+g.charAt(15&r[0]),e="#"+h,h=g.charAt(r[1]>>4&15)+g.charAt(15&r[1]),e+=h,h=g.charAt(r[2]>>4&15)+g.charAt(15&r[2]),e+=h},t.autoHighlight=function(e){var i=t.rgba2rgbo(e),r=i[0],s=i[1];return"#"===e.charAt(0)?(s*=.3>s?1.8:.4,t.rgbo2rgba(r,s)):e},t}),define("options",["jxg","base/constants","math/math","utils/color","utils/type"],function(t,e,i,r,s){"use strict";return 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strict";return t.AbstractRenderer=function(){this.vOffsetText=0,this.enhancedRendering=!0,this.container=null,this.type="",this.supportsForeignObject=!1},t.extend(t.AbstractRenderer.prototype,{_updateVisual:function(t,e,i){(i||this.enhancedRendering)&&(e=e||{},t.visProp.draft?this.setDraft(t):(e.stroke||(this.setObjectStrokeColor(t,t.visProp.strokecolor,t.visProp.strokeopacity),this.setObjectStrokeWidth(t,t.visProp.strokewidth)),e.fill||this.setObjectFillColor(t,t.visProp.fillcolor,t.visProp.fillopacity),e.dash||this.setDashStyle(t,t.visProp),e.shadow||this.setShadow(t),e.gradient||this.setShadow(t)))},drawPoint:function(t){var i,r=e.normalizePointFace(t.visProp.face);i="o"===r?"ellipse":"[]"===r?"rect":"path",t.rendNode=this.appendChildPrim(this.createPrim(i,t.id),t.visProp.layer),this.appendNodesToElement(t,i),this._updateVisual(t,{dash:!0,shadow:!0},!0),this.updatePoint(t)},updatePoint:function(t){var i=t.visProp.size,r=e.normalizePointFace(t.visProp.face);isNaN(t.coords.scrCoords[2]+t.coords.scrCoords[1])||(this._updateVisual(t,{dash:!1,shadow:!1}),i*=t.board&&t.board.options.point.zoom?Math.sqrt(t.board.zoomX*t.board.zoomY):1,"o"===r?this.updateEllipsePrim(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2],i+1,i+1):"[]"===r?this.updateRectPrim(t.rendNode,t.coords.scrCoords[1]-i,t.coords.scrCoords[2]-i,2*i,2*i):this.updatePathPrim(t.rendNode,this.updatePathStringPoint(t,i,r),t.board),this.setShadow(t))},changePointStyle:function(t){var e=this.getElementById(t.id);n.exists(e)&&this.remove(e),this.drawPoint(t),n.clearVisPropOld(t),t.visProp.visible||this.hide(t),t.visProp.draft&&this.setDraft(t)},drawLine:function(t){t.rendNode=this.appendChildPrim(this.createPrim("line",t.id),t.visProp.layer),this.appendNodesToElement(t,"lines"),this.updateLine(t)},updateLine:function(t){var e,s,n,a,h,l,c,d,u=new i(r.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),p=new i(r.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),f=10,m=null;m=t.visProp.margin,o.calcStraight(t,u,p,m),h=l=c=d=0,(t.visProp.lastarrow||t.visProp.firstarrow)&&(s=t.point1.visProp.size,n=t.point2.visProp.size,e=s+n,t.visProp.lastarrow&&t.visProp.touchlastpoint&&(a=u.distance(r.COORDS_BY_SCREEN,p),a>e&&(c=(p.scrCoords[1]-u.scrCoords[1])*n/a,d=(p.scrCoords[2]-u.scrCoords[2])*n/a,p=new i(r.COORDS_BY_SCREEN,[p.scrCoords[1]-c,p.scrCoords[2]-d],t.board))),t.visProp.firstarrow&&t.visProp.touchfirstpoint&&(a=u.distance(r.COORDS_BY_SCREEN,p),a>e&&(h=(p.scrCoords[1]-u.scrCoords[1])*s/a,l=(p.scrCoords[2]-u.scrCoords[2])*s/a,u=new i(r.COORDS_BY_SCREEN,[u.scrCoords[1]+h,u.scrCoords[2]+l],t.board))),e=Math.max(3*parseInt(t.visProp.strokewidth,10),f),a=u.distance(r.COORDS_BY_SCREEN,p),t.visProp.lastarrow&&"vml"!==t.board.renderer.type&&a>=f&&(c=(p.scrCoords[1]-u.scrCoords[1])*e/a,d=(p.scrCoords[2]-u.scrCoords[2])*e/a),t.visProp.firstarrow&&"vml"!==t.board.renderer.type&&a>=f&&(h=(p.scrCoords[1]-u.scrCoords[1])*e/a,l=(p.scrCoords[2]-u.scrCoords[2])*e/a)),this.updateLinePrim(t.rendNode,u.scrCoords[1]+h,u.scrCoords[2]+l,p.scrCoords[1]-c,p.scrCoords[2]-d,t.board),
this.makeArrows(t),this._updateVisual(t)},drawTicks:function(t){t.rendNode=this.appendChildPrim(this.createPrim("path",t.id),t.visProp.layer),this.appendNodesToElement(t,"path")},updateTicks:function(t){},drawCurve:function(t){t.rendNode=this.appendChildPrim(this.createPrim("path",t.id),t.visProp.layer),this.appendNodesToElement(t,"path"),this._updateVisual(t,{shadow:!0},!0),this.updateCurve(t)},updateCurve:function(t){this._updateVisual(t),t.visProp.handdrawing?this.updatePathPrim(t.rendNode,this.updatePathStringBezierPrim(t),t.board):this.updatePathPrim(t.rendNode,this.updatePathStringPrim(t),t.board),t.numberPoints>1&&this.makeArrows(t)},drawEllipse:function(t){t.rendNode=this.appendChildPrim(this.createPrim("ellipse",t.id),t.visProp.layer),this.appendNodesToElement(t,"ellipse"),this.updateEllipse(t)},updateEllipse:function(t){this._updateVisual(t);var e=t.Radius();e>0&&Math.abs(t.center.coords.usrCoords[0])>s.eps&&!isNaN(e+t.center.coords.scrCoords[1]+t.center.coords.scrCoords[2])&&e*t.board.unitX<2e6&&this.updateEllipsePrim(t.rendNode,t.center.coords.scrCoords[1],t.center.coords.scrCoords[2],e*t.board.unitX,e*t.board.unitY)},drawPolygon:function(t){t.rendNode=this.appendChildPrim(this.createPrim("polygon",t.id),t.visProp.layer),this.appendNodesToElement(t,"polygon"),this.updatePolygon(t)},updatePolygon:function(t){var e,i,r;for(this._updateVisual(t,{stroke:!0,dash:!0}),this.updatePolygonPrim(t.rendNode,t),i=t.vertices.length,r=!0,e=0;i>e;++e)if(!t.vertices[e].isReal){r=!1;break}for(i=t.borders.length,e=0;i>e;++e)r&&t.borders[e].visProp.visible?this.show(t.borders[e]):this.hide(t.borders[e])},displayCopyright:function(t,e){},drawInternalText:function(t){},updateInternalText:function(t){},drawText:function(t){var e,i,r;"html"===t.visProp.display&&a.isBrowser&&"no"!==this.type?(e=this.container.ownerDocument.createElement("div"),e.style.position="absolute",e.className=t.visProp.cssclass,r=t.visProp.layer,n.exists(r)||(r=0),!t.visProp.externalhtml&&this.supportsForeignObject&&n.exists(this.foreignObjLayer[r])?this.foreignObjLayer[r].appendChild(e):(i=""===this.container.style.zIndex?0:parseInt(this.container.style.zIndex,10),e.style.zIndex=i+r,this.container.appendChild(e)),e.setAttribute("id",this.container.id+"_"+t.id)):e=this.drawInternalText(t),t.rendNode=e,t.htmlStr="",this.updateText(t)},updateText:function(t){var e,i,r,s=t.plaintext;if(t.visProp.visible)if(this.updateTextStyle(t,!1),"html"===t.visProp.display&&"no"!==this.type){if(isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])||(i=t.coords.scrCoords[1],i=Math.abs(i)<1e6?i:1e6,e="right"===t.visProp.anchorx?Math.floor(t.board.canvasWidth-i):"middle"===t.visProp.anchorx?Math.floor(i-.5*t.size[0]):Math.floor(i),t.visPropOld.left!==t.visProp.anchorx+e&&("right"===t.visProp.anchorx?(t.rendNode.style.right=e+"px",t.rendNode.style.left="auto"):(t.rendNode.style.left=e+"px",t.rendNode.style.right="auto"),t.visPropOld.left=t.visProp.anchorx+e),i=t.coords.scrCoords[2]+this.vOffsetText,i=Math.abs(i)<1e6?i:1e6,e="bottom"===t.visProp.anchory?Math.floor(t.board.canvasHeight-i):"middle"===t.visProp.anchory?Math.floor(i-.5*t.size[1]):Math.floor(i),t.visPropOld.top!==t.visProp.anchory+e&&("bottom"===t.visProp.anchory?(t.rendNode.style.top="auto",t.rendNode.style.bottom=e+"px"):(t.rendNode.style.bottom="auto",t.rendNode.style.top=e+"px"),t.visPropOld.top=t.visProp.anchory+e)),t.htmlStr!==s){try{t.rendNode.innerHTML=s}catch(o){r=t.rendNode.parentNode,t.rendNode.parentNode.removeChild(t.rendNode),t.rendNode.innerHTML=s,r.appendChild(t.rendNode)}t.htmlStr=s,t.visProp.usemathjax?MathJax.Hub.Queue(["Typeset",MathJax.Hub,t.rendNode]):t.visProp.useasciimathml&&AMprocessNode(t.rendNode,!1)}this.transformImage(t,t.transformations)}else this.updateInternalText(t)},updateTextStyle:function(e,i){var r,s,o,h,l,c,d=e.visProp,u=a.isBrowser?d.display:"internal";if(i?(o=d.highlightstrokecolor,s=d.highlightstrokeopacity,h=d.highlightcssclass):(o=d.strokecolor,s=d.strokeopacity,h=d.cssclass),("html"===u||"canvas"!==this.type&&"no"!==this.type)&&(r=n.evaluate(e.visProp.fontsize),e.visPropOld.fontsize!==r)){e.needsSizeUpdate=!0,c=["rendNode","rendNodeTag","rendNodeLabel"];try{for(l in c)t.exists(e[c[l]])&&(e[c[l]].style.fontSize=r+"px")}catch(p){for(l in c)t.exists(e[c[l]])&&(e[c[l]].style.fontSize=r)}e.visPropOld.fontsize=r}return"html"===u&&"no"!==this.type?(e.visPropOld.cssclass!==h&&(e.rendNode.className=h,e.visPropOld.cssclass=h,e.needsSizeUpdate=!0),this.setObjectStrokeColor(e,o,s)):this.updateInternalTextStyle(e,o,s),this},updateInternalTextStyle:function(t,e,i){this.setObjectStrokeColor(t,e,i)},drawImage:function(t){},updateImage:function(t){this.updateRectPrim(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2]-t.size[1],t.size[0],t.size[1]),this.updateImageURL(t),this.transformImage(t,t.transformations),this._updateVisual(t,{stroke:!0,dash:!0},!0)},joinTransforms:function(t,e){var i,r=t.board.origin.scrCoords[1],o=t.board.origin.scrCoords[2],n=t.board.unitX,a=t.board.unitY,h=e.length,l=[[1,0,0],[-r/n,1/n,0],[o/a,0,-1/a]];for(i=0;h>i;i++)l=s.matMatMult(e[i].matrix,l);return l=s.matMatMult([[1,0,0],[r,n,0],[o,0,-a]],l)},transformImage:function(t,e){},updateImageURL:function(t){},updateImageStyle:function(t,e){t.rendNode.className=e?t.visProp.highlightcssclass:t.visProp.cssclass},appendChildPrim:function(t,e){},appendNodesToElement:function(t,e){},createPrim:function(t,e){return null},remove:function(t){},makeArrows:function(t){},updateEllipsePrim:function(t,e,i,r,s){},updateLinePrim:function(t,e,i,r,s,o){},updatePathPrim:function(t,e,i){},updatePathStringPoint:function(t,e,i){},updatePathStringPrim:function(t){},updatePathStringBezierPrim:function(t){},updatePolygonPrim:function(t,e){},updateRectPrim:function(t,e,i,r,s){},setPropertyPrim:function(t,e,i){},show:function(t){},hide:function(t){},setBuffering:function(t,e){},setDashStyle:function(t){},setDraft:function(t){if(t.visProp.draft){var e=t.board.options.elements.draft.color,i=t.board.options.elements.draft.opacity;t.type===r.OBJECT_TYPE_POLYGON?this.setObjectFillColor(t,e,i):(t.elementClass===r.OBJECT_CLASS_POINT?this.setObjectFillColor(t,e,i):this.setObjectFillColor(t,"none",0),this.setObjectStrokeColor(t,e,i),this.setObjectStrokeWidth(t,t.board.options.elements.draft.strokeWidth))}},removeDraft:function(t){t.type===r.OBJECT_TYPE_POLYGON?this.setObjectFillColor(t,t.visProp.fillcolor,t.visProp.fillopacity):(t.type===r.OBJECT_CLASS_POINT&&this.setObjectFillColor(t,t.visProp.fillcolor,t.visProp.fillopacity),this.setObjectStrokeColor(t,t.visProp.strokecolor,t.visProp.strokeopacity),this.setObjectStrokeWidth(t,t.visProp.strokewidth))},setGradient:function(t){},updateGradient:function(t){},setObjectFillColor:function(t,e,i){},setObjectStrokeColor:function(t,e,i){},setObjectStrokeWidth:function(t,e){},setShadow:function(t){},highlight:function(t){var e,i=t.visProp;if(!i.draft){if(t.type===r.OBJECT_TYPE_POLYGON)for(this.setObjectFillColor(t,i.highlightfillcolor,i.highlightfillopacity),e=0;e<t.borders.length;e++)this.setObjectStrokeColor(t.borders[e],t.borders[e].visProp.highlightstrokecolor,t.borders[e].visProp.highlightstrokeopacity);else t.elementClass===r.OBJECT_CLASS_TEXT?this.updateTextStyle(t,!0):t.type===r.OBJECT_TYPE_IMAGE?(this.updateImageStyle(t,!0),this.setObjectFillColor(t,i.highlightfillcolor,i.highlightfillopacity)):(this.setObjectStrokeColor(t,i.highlightstrokecolor,i.highlightstrokeopacity),this.setObjectFillColor(t,i.highlightfillcolor,i.highlightfillopacity));i.highlightstrokewidth&&this.setObjectStrokeWidth(t,Math.max(i.highlightstrokewidth,i.strokewidth))}return this},noHighlight:function(t){var e,i=t.visProp;if(!t.visProp.draft){if(t.type===r.OBJECT_TYPE_POLYGON)for(this.setObjectFillColor(t,i.fillcolor,i.fillopacity),e=0;e<t.borders.length;e++)this.setObjectStrokeColor(t.borders[e],t.borders[e].visProp.strokecolor,t.borders[e].visProp.strokeopacity);else t.elementClass===r.OBJECT_CLASS_TEXT?this.updateTextStyle(t,!1):t.type===r.OBJECT_TYPE_IMAGE?(this.updateImageStyle(t,!1),this.setObjectFillColor(t,i.fillcolor,i.fillopacity)):(this.setObjectStrokeColor(t,i.strokecolor,i.strokeopacity),this.setObjectFillColor(t,i.fillcolor,i.fillopacity));this.setObjectStrokeWidth(t,i.strokewidth)}return this},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(t){var e,i,r=function(t){t||(t=window.event),t.stopPropagation?t.stopPropagation():t.cancelBubble=!0},s=function(s,o){var h;h=e.createElement("span"),i.appendChild(h),h.appendChild(e.createTextNode(s)),a.addEvent(h,"mouseover",function(){this.style.backgroundColor=t.options.navbar.highlightFillColor},h),a.addEvent(h,"mouseover",function(){this.style.backgroundColor=t.options.navbar.highlightFillColor},h),a.addEvent(h,"mouseout",function(){this.style.backgroundColor=t.options.navbar.fillColor},h),a.addEvent(h,"click",function(e){return n.bind(o,t)(),!1},t),a.addEvent(h,"mouseup",r,t),a.addEvent(h,"mousedown",r,t),a.addEvent(h,"touchend",r,t),a.addEvent(h,"touchstart",r,t)};a.isBrowser&&"no"!==this.type&&(e=t.containerObj.ownerDocument,i=e.createElement("div"),i.setAttribute("id",t.containerObj.id+"_navigationbar"),i.style.color=t.options.navbar.strokeColor,i.style.backgroundColor=t.options.navbar.fillColor,i.style.padding=t.options.navbar.padding,i.style.position=t.options.navbar.position,i.style.fontSize=t.options.navbar.fontSize,i.style.cursor=t.options.navbar.cursor,i.style.zIndex=t.options.navbar.zIndex,t.containerObj.appendChild(i),i.style.right=t.options.navbar.right,i.style.bottom=t.options.navbar.bottom,t.attr.showreload&&s(" ↻ ",function(){t.reload()}),t.attr.showcleartraces&&s(" ⊗ ",function(){t.clearTraces()}),t.attr.shownavigation&&(s(" – ",t.zoomOut),s(" o ",t.zoom100),s(" + ",t.zoomIn),s(" ← ",t.clickLeftArrow),s(" ↓ ",t.clickUpArrow),s(" ↑ ",t.clickDownArrow),s(" → ",t.clickRightArrow)))},getElementById:function(t){return this.container.ownerDocument.getElementById(this.container.id+"_"+t)},removeToInsertLater:function(t){var e=t.parentNode,i=t.nextSibling;return e.removeChild(t),function(){i?e.insertBefore(t,i):e.appendChild(t)}},resize:function(t,e){},createTouchpoints:function(t){},showTouchpoint:function(t){},hideTouchpoint:function(t){},updateTouchpoint:function(t,e){},dumpToCanvas:function(t){}}),t.AbstractRenderer}),define("renderer/no",["jxg","renderer/abstract"],function(t,e){"use strict";return t.NoRenderer=function(){this.enhancedRendering=!1,this.type="no"},t.extend(t.NoRenderer.prototype,{drawPoint:function(t){},updatePoint:function(t){},changePointStyle:function(t){},drawLine:function(t){},updateLine:function(t){},drawTicks:function(t){},updateTicks:function(t){},drawCurve:function(t){},updateCurve:function(t){},drawEllipse:function(t){},updateEllipse:function(t){},drawPolygon:function(t){},updatePolygon:function(t){},displayCopyright:function(t,e){},drawInternalText:function(t){},updateInternalText:function(t){},drawText:function(t){},updateText:function(t){},updateTextStyle:function(t,e){},updateInternalTextStyle:function(t,e,i){},drawImage:function(t){},updateImage:function(t){},transformImage:function(t,e){},updateImageURL:function(t){},appendChildPrim:function(t,e){},appendNodesToElement:function(t,e){},createPrim:function(t,e){return null},remove:function(t){},makeArrows:function(t){},updateEllipsePrim:function(t,e,i,r,s){},updateLinePrim:function(t,e,i,r,s,o){},updatePathPrim:function(t,e,i){},updatePathStringPoint:function(t,e,i){},updatePathStringPrim:function(t){},updatePathStringBezierPrim:function(t){},updatePolygonPrim:function(t,e){},updateRectPrim:function(t,e,i,r,s){},setPropertyPrim:function(t,e,i){},show:function(t){},hide:function(t){},setBuffering:function(t,e){},setDashStyle:function(t){},setDraft:function(t){},removeDraft:function(t){},setGradient:function(t){},updateGradient:function(t){},setObjectFillColor:function(t,e,i){},setObjectStrokeColor:function(t,e,i){},setObjectStrokeWidth:function(t,e){},setShadow:function(t){},highlight:function(t){},noHighlight:function(t){},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(t){},getElementById:function(t){return null},resize:function(t,e){},removeToInsertLater:function(){return function(){}}}),t.NoRenderer.prototype=new e,t.NoRenderer}),define("reader/file",["jxg","utils/env","utils/type","utils/encoding","utils/base64"],function(t,e,i,r,s){"use strict";return t.FileReader={parseFileContent:function(e,o,n,a,h){var l=!1;i.exists(a)||(a=!0);try{l=new XMLHttpRequest,"raw"===n.toLowerCase()?l.overrideMimeType("text/plain; charset=iso-8859-1"):l.overrideMimeType("text/xml; charset=iso-8859-1")}catch(c){try{l=new ActiveXObject("Msxml2.XMLHTTP")}catch(d){try{l=new ActiveXObject("Microsoft.XMLHTTP")}catch(u){l=!1}}}if(!l)return void t.debug("AJAX not activated!");l.open("GET",e,a),"raw"===n.toLowerCase()?this.cbp=function(){var t=l;4===t.readyState&&o(t.responseText)}:this.cbp=function(){var t=l,e="";4===t.readyState&&(e=!i.exists(t.responseStream)||"PK"!==t.responseText.slice(0,2)&&31!==r.asciiCharCodeAt(t.responseText.slice(0,1),0)?t.responseText:s.decode(jxgBinFileReader(t)),this.parseString(e,o,n,h))},this.cb=i.bind(this.cbp,this),l.onreadystatechange=this.cb;try{l.send(null)}catch(p){throw new Error("JSXGraph: A problem occurred while trying to read '"+e+"'.")}},parseString:function(e,r,s,o){var n,a;if(s=s.toLowerCase(),n=t.readers[s],!i.exists(n))throw new Error("JSXGraph: There is no reader available for '"+s+"'.");a=new n(r,e),a.read(),i.isFunction(o)&&o(r)}},!e.isMetroApp()&&e.isBrowser&&"object"==typeof navigator&&/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 jxgBinFileReader(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    jxgBinFileReader = b64String\nEnd Function\n</script>\n'),t.FileReader}),define("parser/geonext",["jxg","base/constants","utils/type"],function(t,e,i){"use strict";return t.GeonextParser={replacePow:function(t){var e,i,r,s,o,n,a,h,l,c,d;for(t=t.replace(/(\s*)\^(\s*)/g,"^"),l=t.indexOf("^");l>=0;){if(h=t.slice(0,l),c=t.slice(l+1),")"===h.charAt(h.length-1)){for(e=1,i=h.length-2;i>=0&&e>0;)r=h.charAt(i),")"===r?e++:"("===r&&(e-=1),i-=1;if(0!==e)throw new Error("JSXGraph: Missing '(' in expression");for(s="",n=h.substring(0,i+1),a=i;a>=0&&n.substr(a,1).match(/([\w\.]+)/);)s=RegExp.$1+s,a-=1;s+=h.substring(i+1,h.length),s=s.replace(/([\(\)\+\*\%\^\-\/\]\[])/g,"\\$1")}else s="[\\w\\.]+";if(c.match(/^([\w\.]*\()/)){for(e=1,i=RegExp.$1.length;i<c.length&&e>0;)r=c.charAt(i),")"===r?e-=1:"("===r&&(e+=1),i+=1;if(0!==e)throw new Error("JSXGraph: Missing ')' in expression");o=c.substring(0,i),o=o.replace(/([\(\)\+\*\%\^\-\/\[\]])/g,"\\$1")}else o="[\\w\\.]+";d=new RegExp("("+s+")\\^("+o+")"),t=t.replace(d,"pow($1,$2)"),l=t.indexOf("^")}return t},replaceIf:function(t){var e,i,r,s,o,n,a,h,l,c="",d=null,u=null,p=null;if(r=t.indexOf("If("),0>r)return t;for(t=t.replace(/""/g,"0");r>=0;){for(e=t.slice(0,r),i=t.slice(r+3),o=1,s=0,n=-1,a=-1;s<i.length&&o>0;)h=i.charAt(s),")"===h?o-=1:"("===h?o+=1:","===h&&1===o&&(0>n?n=s:a=s),s+=1;if(l=i.slice(0,s-1),i=i.slice(s),0>n)return"";if(0>a)return"";d=l.slice(0,n),u=l.slice(n+1,a),p=l.slice(a+1),d=this.replaceIf(d),u=this.replaceIf(u),p=this.replaceIf(p),c+=e+"(("+d+")?("+u+"):("+p+"))",t=i,d=null,u=null,r=t.indexOf("If(")}return c+=i},replaceNameById:function(t,e,i){var r,s,o,n,a=0,h=["X","Y","L","V"],l=function(t){return i?"$('"+t+"')":t};for(n=0;n<h.length;n++)for(a=t.indexOf(h[n]+"(");a>=0;)a>=0&&(r=t.indexOf(")",a+2),r>=0&&(s=t.slice(a+2,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+2)+(i?"$('":"")+l(o.id)+t.slice(r)))),r=t.indexOf(")",a+2),a=t.indexOf(h[n]+"(",r);for(a=t.indexOf("Dist(");a>=0;)a>=0&&(r=t.indexOf(",",a+5),r>=0&&(s=t.slice(a+5,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+5)+l(o.id)+t.slice(r)))),r=t.indexOf(",",a+5),a=t.indexOf(",",r),r=t.indexOf(")",a+1),r>=0&&(s=t.slice(a+1,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+1)+l(o.id)+t.slice(r))),r=t.indexOf(")",a+1),a=t.indexOf("Dist(",r);for(h=["Deg","Rad"],n=0;n<h.length;n++)for(a=t.indexOf(h[n]+"(");a>=0;)a>=0&&(r=t.indexOf(",",a+4),r>=0&&(s=t.slice(a+4,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+4)+l(o.id)+t.slice(r)))),r=t.indexOf(",",a+4),a=t.indexOf(",",r),r=t.indexOf(",",a+1),r>=0&&(s=t.slice(a+1,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+1)+l(o.id)+t.slice(r))),r=t.indexOf(",",a+1),a=t.indexOf(",",r),r=t.indexOf(")",a+1),r>=0&&(s=t.slice(a+1,r),s=s.replace(/\\(['"])?/g,"$1"),o=e.elementsByName[s],o&&(t=t.slice(0,a+1)+l(o.id)+t.slice(r))),r=t.indexOf(")",a+1),a=t.indexOf(h[n]+"(",r);return t},replaceIdByObj:function(t){var e=/(X|Y|L)\(([\w_]+)\)/g;return t=t.replace(e,"$('$2').$1()"),e=/(V)\(([\w_]+)\)/g,t=t.replace(e,"$('$2').Value()"),e=/(Dist)\(([\w_]+),([\w_]+)\)/g,t=t.replace(e,"dist($('$2'), $('$3'))"),e=/(Deg)\(([\w_]+),([ \w\[\w_]+),([\w_]+)\)/g,t=t.replace(e,"deg($('$2'),$('$3'),$('$4'))"),e=/Rad\(([\w_]+),([\w_]+),([\w_]+)\)/g,t=t.replace(e,"rad($('$1'),$('$2'),$('$3'))"),e=/N\((.+)\)/g,t=t.replace(e,"($1)")},geonext2JS:function(t,e){var i,r,s,o=["Abs","ACos","ASin","ATan","Ceil","Cos","Exp","Factorial","Floor","Log","Max","Min","Random","Round","Sin","Sqrt","Tan","Trunc"],n=["abs","acos","asin","atan","ceil","cos","exp","factorial","floor","log","max","min","random","round","sin","sqrt","tan","ceil"];for(t=t.replace(/&lt;/g,"<"),t=t.replace(/&gt;/g,">"),t=t.replace(/&amp;/g,"&"),r=t,r=this.replaceNameById(r,e),r=this.replaceIf(r),r=this.replacePow(r),r=this.replaceIdByObj(r),s=0;s<o.length;s++)i=new RegExp(["(\\W|^)(",o[s],")"].join(""),"ig"),r=r.replace(i,["$1",n[s]].join(""));return r=r.replace(/True/g,"true"),r=r.replace(/False/g,"false"),r=r.replace(/fasle/g,"false"),r=r.replace(/Pi/g,"PI"),r=r.replace(/"/g,"'")},findDependencies:function(t,r,s){var o,n,a,h;i.exists(s)||(s=t.board),o=s.elementsByName;for(n in o)o.hasOwnProperty(n)&&n!==t.name&&(o[n].elementClass===e.OBJECT_CLASS_TEXT?o[n].visProp.islabel||(h=n.replace(/\[/g,"\\["),h=h.replace(/\]/g,"\\]"),a=new RegExp("\\(([\\w\\[\\]'_ ]+,)*("+h+")(,[\\w\\[\\]'_ ]+)*\\)","g"),r.search(a)>=0&&o[n].addChild(t)):(h=n.replace(/\[/g,"\\["),h=h.replace(/\]/g,"\\]"),a=new RegExp("\\(([\\w\\[\\]'_ ]+,)*("+h+")(,[\\w\\[\\]'_ ]+)*\\)","g"),r.search(a)>=0&&o[n].addChild(t)))},gxt2jc:function(t,e){var i;return t=t.replace(/&lt;/g,"<"),t=t.replace(/&gt;/g,">"),t=t.replace(/&amp;/g,"&"),i=t,i=this.replaceNameById(i,e,!0),i=i.replace(/True/g,"true"),i=i.replace(/False/g,"false"),i=i.replace(/fasle/g,"false")}},t.GeonextParser}),define("base/element",["jxg","base/constants","base/coords","math/math","math/statistics","options","parser/geonext","utils/event","utils/color","utils/type"],function(t,e,i,r,s,o,n,a,h,l){"use strict";return t.GeometryElement=function(t,i,r,s){var o,n,h;if(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.parents=[],this.symbolic={},this.rendNode=null,this.elType="",this.dump=!0,this.subs={},this._pos=-1,this.stdform=[1,0,0,0,1,1,0,0],this.methodMap={setLabel:"setLabel",label:"label",setName:"setName",getName:"getName",addTransform:"addTransform",setProperty:"setAttribute",setAttribute:"setAttribute",addChild:"addChild",animate:"animate",on:"on",off:"off",trigger:"trigger"},this.quadraticform=[[1,0,0],[0,1,0],[0,0,1]],this.visProp={},a.eventify(this),this.mouseover=!1,this.lastDragTime=new Date,arguments.length>0){this.board=t,this.type=r,this._org_type=r,this.elementClass=s||e.OBJECT_CLASS_OTHER,this.id=i.id,o=i.name,l.exists(o)||(o=this.board.generateName(this)),""!==o&&(this.board.elementsByName[o]=this),this.name=o,this.needsRegularUpdate=i.needsregularupdate,l.clearVisPropOld(this),h=this.resolveShortcuts(i);for(n in h)h.hasOwnProperty(n)&&this._set(n,h[n]);this.visProp.draft=h.draft&&h.draft.draft,this.visProp.gradientangle="270",this.visProp.gradientsecondopacity=this.visProp.fillopacity,this.visProp.gradientpositionx=.5,this.visProp.gradientpositiony=.5}},t.extend(t.GeometryElement.prototype,{addChild:function(t){var e,i;this.childElements[t.id]=t,this.addDescendants(t),t.ancestors[this.id]=this;for(e in this.descendants)if(this.descendants.hasOwnProperty(e)){this.descendants[e].ancestors[this.id]=this;for(i in this.ancestors)this.ancestors.hasOwnProperty(i)&&(this.descendants[e].ancestors[this.ancestors[i].id]=this.ancestors[i])}for(e in this.ancestors)if(this.ancestors.hasOwnProperty(e))for(i in this.descendants)this.descendants.hasOwnProperty(i)&&(this.ancestors[e].descendants[this.descendants[i].id]=this.descendants[i]);return this},addDescendants:function(t){var e;this.descendants[t.id]=t;for(e in t.childElements)t.childElements.hasOwnProperty(e)&&this.addDescendants(t.childElements[e]);return this},addParents:function(t){var e,i,r;for(r=l.isArray(t)?t:arguments,i=r.length,e=0;i>e;++e)l.isId(this.board,r[e])?this.parents.push(r[e]):l.exists(r[e].id)&&this.parents.push(r[e].id);this.parents=l.uniqueArray(this.parents)},setParents:function(t){this.parents=[],this.addParents(t)},removeChild:function(t){return delete this.childElements[t.id],this.removeDescendants(t),delete t.ancestors[this.id],this},removeDescendants:function(t){var e;delete this.descendants[t.id];for(e in t.childElements)t.childElements.hasOwnProperty(e)&&this.removeDescendants(t.childElements[e]);return this},countChildren:function(){var t,e,i=0;e=this.childElements;for(t in e)e.hasOwnProperty(t)&&t.indexOf("Label")<0&&i++;return i},getName:function(){return this.name},addTransform:function(t){return this},draggable:function(){return this.isDraggable&&!this.visProp.fixed&&this.type!==e.OBJECT_TYPE_GLIDER},setPosition:function(i,r){var s,o,n,a,h=[];if(!t.exists(this.parents))return this;for(n=this.parents.length,o=0;n>o;++o)if(s=this.board.select(this.parents[o]),l.isPoint(s)){if(!s.draggable())return this;h.push(s)}for(3===r.length&&(r=r.slice(1)),a=this.board.create("transform",r,{type:"translate"}),n=h.length,n>0?a.applyOnce(h):this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(a):this.addTransform(a),o=0;n>o;++o)h[o].type===e.OBJECT_TYPE_GLIDER&&h[o].updateGlider();return this},setPositionDirectly:function(t,r,o){var n=new i(t,r,this.board,!1),a=new i(t,o,this.board,!1),h=s.subtract(n.usrCoords,a.usrCoords);return this.setPosition(e.COORDS_BY_USER,h),this},generatePolynomial:function(){return[]},animate:function(t,e,i){i=i||{};var r,s,o,n=this.board.attr.animationdelay,a=Math.ceil(e/n),c=this,d=function(t,e,i){var r,s,n,l,d;for(r=h.rgb2hsv(t),s=h.rgb2hsv(e),n=(s[0]-r[0])/a,l=(s[1]-r[1])/a,d=(s[2]-r[2])/a,c.animationData[i]=[],o=0;a>o;o++)c.animationData[i][a-o-1]=h.hsv2rgb(r[0]+(o+1)*n,r[1]+(o+1)*l,r[2]+(o+1)*d)},u=function(t,e,i,r){var s,n;if(t=parseFloat(t),e=parseFloat(e),!isNaN(t)&&!isNaN(e))for(n=(e-t)/a,c.animationData[i]=[],o=0;a>o;o++)s=t+(o+1)*n,c.animationData[i][a-o-1]=r?Math.floor(s):s};this.animationData={};for(r in t)if(t.hasOwnProperty(r))switch(s=r.toLowerCase()){case"strokecolor":case"fillcolor":d(this.visProp[s],t[r],s);break;case"size":if(!l.isPoint(this))break;u(this.visProp[s],t[r],s,!0);break;case"strokeopacity":case"strokewidth":case"fillopacity":u(this.visProp[s],t[r],s,!1)}return this.animationCallback=i.callback,this.board.addAnimation(this),this},update:function(){return this.visProp.trace&&this.cloneToBackground(),this},updateRenderer:function(){return this},hideElement:function(){return this.visProp.visible=!1,this.board.renderer.hide(this),l.exists(this.label)&&this.hasLabel&&(this.label.hiddenByParent=!0,this.label.visProp.visible&&this.label.hideElement()),this},showElement:function(){return this.visProp.visible=!0,this.board.renderer.show(this),l.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visProp.visible||this.label.showElement().updateRenderer()),this},_set:function(t,e){t=t.toLocaleLowerCase(),this.visProp.hasOwnProperty(t)&&t.indexOf("color")>=0&&l.isString(e)&&9===e.length&&"#"===e.charAt(0)?(e=h.rgba2rgbo(e),this.visProp[t]=e[0],this.visProp[t.replace("color","opacity")]=e[1]):this.visProp[t]=e},resolveShortcuts:function(t){var e,i;for(e in o.shortcuts)if(o.shortcuts.hasOwnProperty(e)&&l.exists(t[e]))for(i=0;i<o.shortcuts[e].length;i++)l.exists(t[o.shortcuts[e][i]])||(t[o.shortcuts[e][i]]=t[e]);return t},setLabel:function(t){this.hasLabel||this.setAttribute({withlabel:!0}),this.setLabelText(t)},setLabelText:function(t){return l.exists(this.label)&&(t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),this.label.setText(t)),this},setName:function(t){t=t.replace(/</g,"&lt;").replace(/>/g,"&gt;"),"slider"!==this.elType&&this.setLabelText(t),this.setAttribute({name:t})},setProperty:function(){t.deprecated("setProperty()","setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(i){var r,s,o,n,a,c,d,u={};for(r=0;r<arguments.length;r++)n=arguments[r],l.isString(n)?(c=n.split(":"),u[l.trim(c[0])]=l.trim(c[1])):l.isArray(n)?u[n[0]]=n[1]:t.extend(u,n);u=this.resolveShortcuts(u);for(r in u)if(u.hasOwnProperty(r)){switch(s=r.replace(/\s+/g,"").toLowerCase(),o=u[r],d=this.visProp[s],s){case"name":d=this.name,delete this.board.elementsByName[this.name],this.name=o,this.board.elementsByName[this.name]=this;break;case"needsregularupdate":this.needsRegularUpdate=!("false"===o||o===!1),this.board.renderer.setBuffering(this,this.needsRegularUpdate?"auto":"static");break;case"labelcolor":o=h.rgba2rgbo(o),a=o[1],o=o[0],0===a&&l.exists(this.label)&&this.hasLabel&&this.label.hideElement(),l.exists(this.label)&&this.hasLabel&&(this.label.visProp.strokecolor=o,this.board.renderer.setObjectStrokeColor(this.label,o,a)),this.elementClass===e.OBJECT_CLASS_TEXT&&(this.visProp.strokecolor=o,this.visProp.strokeopacity=a,this.board.renderer.setObjectStrokeColor(this,this.visProp.strokecolor,this.visProp.strokeopacity));break;case"infoboxtext":l.isString(o)?this.infoboxText=o:this.infoboxText=!1;break;case"visible":"false"===o||o===!1?(this.visProp.visible=!1,this.hideElement()):("true"===o||o===!0)&&(this.visProp.visible=!0,this.showElement());break;case"face":l.isPoint(this)&&(this.visProp.face=o,this.board.renderer.changePointStyle(this));break;case"trace":"false"===o||o===!1?(this.clearTrace(),this.visProp.trace=!1):this.visProp.trace=!0;break;case"gradient":this.visProp.gradient=o,this.board.renderer.setGradient(this);break;case"gradientsecondcolor":o=h.rgba2rgbo(o),this.visProp.gradientsecondcolor=o[0],this.visProp.gradientsecondopacity=o[1],this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=o,this.board.renderer.updateGradient(this);break;case"withlabel":this.visProp.withlabel=o,o?this.label?this.visProp.visible&&this.label.showElement():(this.createLabel(),this.visProp.visible||this.label.hideElement()):this.label&&this.hasLabel&&this.label.hideElement(),this.hasLabel=o;break;case"radius":(this.type===e.OBJECT_TYPE_ANGLE||this.type===e.OBJECT_TYPE_SECTOR)&&this.setRadius(o);break;case"rotate":(this.elementClass===e.OBJECT_CLASS_TEXT&&"internal"===this.visProp.display||this.type===e.OBJECT_TYPE_IMAGE)&&this.addRotation(o);break;case"ticksdistance":this.type===e.OBJECT_TYPE_TICKS&&l.isNumber(o)&&(this.ticksFunction=this.makeTicksFunction(o));break;case"generatelabelvalue":this.type===e.OBJECT_TYPE_TICKS&&l.isFunction(o)&&(this.generateLabelValue=o);break;case"onpolygon":this.type===e.OBJECT_TYPE_GLIDER&&(this.onPolygon=!!o);break;case"disabled":t.exists(this.rendNodeTag)&&(this.rendNodeTag.disabled=!!o);break;default:l.exists(this.visProp[s])&&(!t.Validator[s]||t.Validator[s]&&t.Validator[s](o)||t.Validator[s]&&l.isFunction(o)&&t.Validator[s](o()))&&(o=o.toLowerCase&&"false"===o.toLowerCase()?!1:o,this._set(s,o))}this.triggerEventHandlers(["attribute:"+s],[d,o,this])}return this.triggerEventHandlers(["attribute"],[u,this]),this.visProp.needsregularupdate?this.board.update(this):this.board.fullUpdate(),this},getProperty:function(){t.deprecated("getProperty()","getAttribute()"),this.getProperty.apply(this,arguments)},getAttribute:function(t){var e;switch(t=t.toLowerCase()){case"needsregularupdate":e=this.needsRegularUpdate;break;case"labelcolor":e=this.label.visProp.strokecolor;break;case"infoboxtext":e=this.infoboxText;break;case"withlabel":e=this.hasLabel;break;default:e=this.visProp[t]}return e},setDash:function(t){return this.setAttribute({dash:t}),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.id)),this},getTextAnchor:function(){return new i(e.COORDS_BY_USER,[0,0],this.board)},getLabelAnchor:function(){return new i(e.COORDS_BY_USER,[0,0],this.board)},setArrow:function(t,e){return this.visProp.firstarrow=t,this.visProp.lastarrow=e,this.prepareUpdate().update(),this},createGradient:function(){("linear"===this.visProp.gradient||"radial"===this.visProp.gradient)&&this.board.renderer.setGradient(this)},createLabel:function(){var e,i=this;return t.elements.text?(e=l.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.visProp.withlabel&&(this.label=t.elements.text(this.board,[0,0,function(){return l.isFunction(i.name)?i.name():i.name}],e),this.label.needsUpdate=!0,this.label.update(),this.label.dump=!1,this.visProp.visible||(this.label.hiddenByParent=!0,this.label.visProp.visible=!1),this.hasLabel=!0)):t.debug("JSXGraph: Can't create label: text element is not available. Make sure you include base/text"),this},highlight:function(t){return t=l.def(t,!1),!this.visProp.highlight||this.highlighted&&!t||(this.highlighted=!0,this.board.highlightedObjects[this.id]=this,this.board.renderer.highlight(this)),this},noHighlight:function(){return this.highlighted&&(this.highlighted=!1,delete this.board.highlightedObjects[this.id],this.board.renderer.noHighlight(this)),this},clearTrace:function(){var t;for(t in this.traces)this.traces.hasOwnProperty(t)&&this.board.renderer.remove(this.traces[t]);return this.numTraces=0,this},cloneToBackground:function(){return this},bounds:function(){return[0,0,0,0]},normalize:function(){return this.stdform=r.normalize(this.stdform),this},toJSON:function(){var t,e,i=['{"name":',this.name];
i.push(', "id":'+this.id),t=[];for(e in this.visProp)this.visProp.hasOwnProperty(e)&&l.exists(this.visProp[e])&&t.push('"'+e+'":'+this.visProp[e]);return i.push(', "visProp":{'+t.toString()+"}"),i.push("}"),i.join("")},addRotation:function(t){var i,r,s,o,n,a=this;return(this.elementClass===e.OBJECT_CLASS_TEXT&&"internal"===this.visProp.display||this.type===e.OBJECT_TYPE_IMAGE)&&0!==t&&(i=this.board.create("transform",[function(){return-a.X()},function(){return-a.Y()}],{type:"translate"}),r=this.board.create("transform",[function(){return a.X()},function(){return a.Y()}],{type:"translate"}),s=this.board.create("transform",[function(){return a.board.unitX/a.board.unitY},function(){return 1}],{type:"scale"}),o=this.board.create("transform",[function(){return a.board.unitY/a.board.unitX},function(){return 1}],{type:"scale"}),n=this.board.create("transform",[t*Math.PI/180],{type:"rotate"}),i.bindTo(this),s.bindTo(this),n.bindTo(this),o.bindTo(this),r.bindTo(this)),this},highlightStrokeColor:function(e){return t.deprecated("highlightStrokeColor()","setAttribute()"),this.setAttribute({highlightStrokeColor:e}),this},strokeColor:function(e){return t.deprecated("strokeColor()","setAttribute()"),this.setAttribute({strokeColor:e}),this},strokeWidth:function(e){return t.deprecated("strokeWidth()","setAttribute()"),this.setAttribute({strokeWidth:e}),this},fillColor:function(e){return t.deprecated("fillColor()","setAttribute()"),this.setAttribute({fillColor:e}),this},highlightFillColor:function(e){return t.deprecated("highlightFillColor()","setAttribute()"),this.setAttribute({highlightFillColor:e}),this},labelColor:function(e){return t.deprecated("labelColor()","setAttribute()"),this.setAttribute({labelColor:e}),this},dash:function(e){return t.deprecated("dash()","setAttribute()"),this.setAttribute({dash:e}),this},visible:function(e){return t.deprecated("visible()","setAttribute()"),this.setAttribute({visible:e}),this},shadow:function(e){return t.deprecated("shadow()","setAttribute()"),this.setAttribute({shadow:e}),this},getType:function(){return this.elType},getParents:function(){return l.isArray(this.parents)?this.parents:[]},snapToGrid:function(){return this},snapToPoints:function(){return this},getAttributes:function(){var t,e=l.deepCopy(this.visProp),i=[],r=i.length;for(e.id=this.id,e.name=this.name,t=0;r>t;t++)delete e[i[t]];return e},hasPoint:function(t,e){return!1},handleSnapToGrid:function(i,r){var s,o,n,a,h=!1,l=this.visProp.snapsizex,c=this.visProp.snapsizey;return t.exists(this.coords)?(h=this.visProp.snaptogrid||i===!0,h&&(s=this.coords.usrCoords[1],o=this.coords.usrCoords[2],0>=l&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(n=this.board.defaultAxes.x.defaultTicks,l=n.ticksDelta*(n.visProp.minorticks+1)),0>=c&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(n=this.board.defaultAxes.y.defaultTicks,c=n.ticksDelta*(n.visProp.minorticks+1)),l>0&&c>0&&(a=this.board.getBoundingBox(),s=Math.round(s/l)*l,o=Math.round(o/c)*c,r||(s<a[0]?s+=l:s>a[2]&&(s-=l),o<a[3]?o+=c:o>a[1]&&(o-=c)),this.coords.setCoordinates(e.COORDS_BY_USER,[s,o]))),this):this},addEvent:t.shortcut(t.GeometryElement.prototype,"on"),removeEvent:t.shortcut(t.GeometryElement.prototype,"off"),__evt__over:function(t){},__evt__mouseover:function(t){},__evt__out:function(t){},__evt__mouseout:function(t){},__evt__move:function(t){},__evt__mousemove:function(t){},__evt__drag:function(t){},__evt__mousedrag:function(t){},__evt__touchdrag:function(t){},__evt__down:function(t){},__evt__mousedown:function(t){},__evt__touchdown:function(t){},__evt__up:function(t){},__evt__mouseup:function(t){},__evt__touchup:function(t){},__evt__attribute:function(t,e){},__evt__attribute_:function(t,e,i){},__evt:function(){}}),t.GeometryElement}),define("base/transformation",["jxg","base/constants","math/math","utils/type"],function(t,e,i,r){"use strict";return t.Transformation=function(t,i,r){this.elementClass=e.OBJECT_CLASS_OTHER,this.matrix=[[1,0,0],[0,1,0],[0,0,1]],this.board=t,this.isNumericMatrix=!1,this.setMatrix(t,i,r),this.methodMap={apply:"apply",applyOnce:"applyOnce",bindTo:"bindTo",bind:"bind",melt:"melt"}},t.Transformation.prototype={},t.extend(t.Transformation.prototype,{update:function(){return this},setMatrix:function(t,e,s){var o;for(this.isNumericMatrix=!0,o=0;o<s.length;o++)if("number"!=typeof s[o]){this.isNumericMatrix=!1;break}if("translate"===e){if(2!==s.length)throw new Error("JSXGraph: translate transformation needs 2 parameters.");this.evalParam=r.createEvalFunction(t,s,2),this.update=function(){this.matrix[1][0]=this.evalParam(0),this.matrix[2][0]=this.evalParam(1)}}else if("scale"===e){if(2!==s.length)throw new Error("JSXGraph: scale transformation needs 2 parameters.");this.evalParam=r.createEvalFunction(t,s,2),this.update=function(){this.matrix[1][1]=this.evalParam(0),this.matrix[2][2]=this.evalParam(1)}}else if("reflect"===e)s.length<4&&(s[0]=t.select(s[0])),2===s.length&&(s[1]=t.select(s[1])),4===s.length&&(this.evalParam=r.createEvalFunction(t,s,4)),this.update=function(){var t,e,r,o,n,a,h,l;1===s.length?h=s[0].stdform:2===s.length?h=i.crossProduct(s[1].coords.usrCoords,s[0].coords.usrCoords):4===s.length&&(h=i.crossProduct([1,this.evalParam(2),this.evalParam(3)],[1,this.evalParam(0),this.evalParam(1)])),t=h[1],e=h[2],r=h[0],l=[-r*t,-r*e,t*t+e*e],a=l[2],o=l[0]/l[2],n=l[1]/l[2],t=-h[2],e=h[1],this.matrix[1][1]=(t*t-e*e)/a,this.matrix[1][2]=2*t*e/a,this.matrix[2][1]=this.matrix[1][2],this.matrix[2][2]=-this.matrix[1][1],this.matrix[1][0]=o*(1-this.matrix[1][1])-n*this.matrix[1][2],this.matrix[2][0]=n*(1-this.matrix[2][2])-o*this.matrix[2][1]};else if("rotate"===e)3===s.length?this.evalParam=r.createEvalFunction(t,s,3):s.length>0&&s.length<=2&&(this.evalParam=r.createEvalFunction(t,s,1),2===s.length&&(s[1]=t.select(s[1]))),this.update=function(){var t,e,i=this.evalParam(0),r=Math.cos(i),o=Math.sin(i);this.matrix[1][1]=r,this.matrix[1][2]=-o,this.matrix[2][1]=o,this.matrix[2][2]=r,s.length>1&&(3===s.length?(t=this.evalParam(1),e=this.evalParam(2)):(t=s[1].X(),e=s[1].Y()),this.matrix[1][0]=t*(1-r)+e*o,this.matrix[2][0]=e*(1-r)-t*o)};else if("shear"===e){if(2!==s.length)throw new Error("JSXGraph: shear transformation needs 2 parameters.");this.evalParam=r.createEvalFunction(t,s,2),this.update=function(){this.matrix[1][2]=this.evalParam(0),this.matrix[2][1]=this.evalParam(1)}}else if("generic"===e){if(9!==s.length)throw new Error("JSXGraph: generic transformation needs 9 parameters.");this.evalParam=r.createEvalFunction(t,s,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(t,e){return this.update(),r.exists(e)?i.matVecMult(this.matrix,t.initialCoords.usrCoords):i.matVecMult(this.matrix,t.coords.usrCoords)},applyOnce:function(t){var s,o,n;for(r.isArray(t)||(t=[t]),o=t.length,n=0;o>n;n++)this.update(),s=i.matVecMult(this.matrix,t[n].coords.usrCoords),t[n].coords.setCoordinates(e.COORDS_BY_USER,s)},bindTo:function(t){var e,i;if(r.isArray(t))for(i=t.length,e=0;i>e;e++)t[e].transformations.push(this);else t.transformations.push(this)},setProperty:function(e){t.deprecated("Transformation.setProperty()","Transformation.setAttribute()")},setAttribute:function(t){},melt:function(t){var e,i,r,s,o,n,a=[];for(i=t.matrix.length,r=this.matrix[0].length,e=0;i>e;e++)a[e]=[];for(this.update(),t.update(),e=0;i>e;e++)for(n=0;r>n;n++){for(o=0,s=0;i>s;s++)o+=t.matrix[e][s]*this.matrix[s][n];a[e][n]=o}return this.update=function(){var t=this.matrix.length,i=this.matrix[0].length;for(e=0;t>e;e++)for(n=0;i>n;n++)this.matrix[e][n]=a[e][n]},this},getParents:function(){var t=[[].concat.apply([],this.matrix)];return 0!==this.parents.length&&(t=this.parents),t}}),t.createTransform=function(e,i,r){return new t.Transformation(e,r.type,i)},t.registerElement("transform",t.createTransform),{Transformation:t.Transformation,createTransform:t.createTransform}}),define("base/coordselement",["jxg","options","math/math","math/geometry","math/numerics","math/statistics","base/coords","base/constants","base/element","parser/geonext","utils/type","base/transformation"],function(t,e,i,r,s,o,n,a,h,l,c,d){"use strict";return t.CoordsElement=function(t,e){var i;for(c.exists(t)||(t=[1,0,0]),i=0;i<t.length;++i)t[i]=parseFloat(t[i]);this.coords=new n(a.COORDS_BY_USER,t,this.board),this.initialCoords=new n(a.COORDS_BY_USER,t,this.board),this.position=null,this.onPolygon=!1,this.slideObject=null,this.slideObjects=[],this.needsUpdateFromParent=!0,this.updateConstraint=function(){return this},this.groups=[],this.Xjc=null,this.Yjc=null,this.methodMap=c.deepCopy(this.methodMap,{move:"moveTo",moveTo:"moveTo",moveAlong:"moveAlong",visit:"visit",glide:"makeGlider",makeGlider:"makeGlider",intersect:"makeIntersection",makeIntersection:"makeIntersection",X:"X",Y:"Y",free:"free",setPosition:"setGliderPosition",setGliderPosition:"setGliderPosition",addConstraint:"addConstraint",dist:"Dist",onPolygon:"onPolygon"}),c.exists(this.element)&&this.addAnchor(t,e),this.isDraggable=!0},t.extend(t.CoordsElement.prototype,{updateCoords:function(t){return this.needsUpdate?(c.exists(t)||(t=!1),this.type===a.OBJECT_TYPE_GLIDER&&(t?this.updateGliderFromParent():this.updateGlider()),this.visProp.frozen||this.updateConstraint(),this.updateTransform(),this):this},updateGlider:function(){var t,e,s,o,h,l,d,u,p,f,m,g,b,v,y,C,P,_=2*Math.PI,S=!1,E=this.slideObject;if(this.needsUpdateFromParent=!1,E.elementClass===a.OBJECT_CLASS_CIRCLE)this.visProp.isgeonext&&(_=1),C=r.projectPointToCircle(this,E,this.board),P=r.rad([E.center.X()+1,E.center.Y()],E.center,this)/_;else if(E.elementClass===a.OBJECT_CLASS_LINE){if(this.onPolygon){if(e=E.point1.coords.usrCoords,s=E.point2.coords.usrCoords,t=1,o=s[t]-e[t],Math.abs(o)<i.eps&&(t=2,o=s[t]-e[t]),d=r.projectPointToLine(this,E,this.board),u=(d.usrCoords[t]-e[t])/o,l=E.parentPolygon,0>u){for(t=0;t<l.borders.length;t++)if(E===l.borders[t]){E=l.borders[(t-1+l.borders.length)%l.borders.length];break}}else if(u>1)for(t=0;t<l.borders.length;t++)if(E===l.borders[t]){E=l.borders[(t+1+l.borders.length)%l.borders.length];break}E.id!==this.slideObject.id&&(this.slideObject=E)}e=E.point1.coords,s=E.point2.coords,o=e.distance(a.COORDS_BY_USER,s),o<i.eps?(C=e,S=!0,P=0):(C=r.projectPointToLine(this,E,this.board),e=e.usrCoords.slice(0),s=s.usrCoords.slice(0),Math.abs(s[0])<i.eps?(t=1,o=s[t],Math.abs(o)<i.eps&&(t=2,o=s[t]),o=(C.usrCoords[t]-e[t])/o,p=o>=0?1:-1,o=Math.abs(o),P=p*o/(o+1)):Math.abs(e[0])<i.eps?(t=1,o=e[t],Math.abs(o)<i.eps&&(t=2,o=e[t]),o=(C.usrCoords[t]-s[t])/o,P=0>o?(1-2*o)/(1-o):1/(o+1)):(t=1,o=s[t]-e[t],Math.abs(o)<i.eps&&(t=2,o=s[t]-e[t]),P=(C.usrCoords[t]-e[t])/o)),this.visProp.snapwidth>0&&Math.abs(this._smax-this._smin)>=i.eps&&(P=Math.max(Math.min(P,1),0),h=P*(this._smax-this._smin)+this._smin,h=Math.round(h/this.visProp.snapwidth)*this.visProp.snapwidth,P=(h-this._smin)/(this._smax-this._smin),this.update(!0)),e=E.point1.coords,!E.visProp.straightfirst&&Math.abs(e.usrCoords[0])>i.eps&&0>P&&(C=e,S=!0,P=0),s=E.point2.coords,!E.visProp.straightlast&&Math.abs(s.usrCoords[0])>i.eps&&P>1&&(C=s,S=!0,P=1)}else E.type===a.OBJECT_TYPE_TURTLE?(this.updateConstraint(),C=r.projectPointToTurtle(this,E,this.board),P=this.position):E.elementClass===a.OBJECT_CLASS_CURVE?E.type===a.OBJECT_TYPE_ARC||E.type===a.OBJECT_TYPE_SECTOR?(C=r.projectPointToCircle(this,E,this.board),g=r.rad(E.radiuspoint,E.center,this),f=0,m=r.rad(E.radiuspoint,E.center,E.anglepoint),P=g,("minor"===E.visProp.selection&&m>Math.PI||"major"===E.visProp.selection&&m<Math.PI)&&(f=m,m=2*Math.PI),(f>g||g>m)&&(P=m,(f>g&&g>.5*f||g>m&&g>.5*m+Math.PI)&&(P=f),this.needsUpdateFromParent=!0,this.updateGliderFromParent()),_=m-f,this.visProp.isgeonext&&(_=1),Math.abs(_)>i.eps&&(P/=_)):(this.updateConstraint(),E.transformations.length>0?(E.updateTransformMatrix(),y=i.inverse(E.transformMat),v=i.matVecMult(y,this.coords.usrCoords),b=new n(a.COORDS_BY_USER,v,this.board).usrCoords,v=r.projectCoordsToCurve(b[1],b[2],this.position||0,E,this.board),C=v[0],P=v[1]):(C=r.projectPointToCurve(this,E,this.board),P=this.position)):c.isPoint(E)&&(C=r.projectPointToPoint(this,E,this.board),P=this.position);this.coords.setCoordinates(a.COORDS_BY_USER,C.usrCoords,S),this.position=P},updateGliderFromParent:function(){var t,e,s,o,n,h,l,d,u,p=this.slideObject,f=2*Math.PI;return this.needsUpdateFromParent?(p.elementClass===a.OBJECT_CLASS_CIRCLE?(s=p.Radius(),this.visProp.isgeonext&&(f=1),n=[p.center.X()+s*Math.cos(this.position*f),p.center.Y()+s*Math.sin(this.position*f)]):p.elementClass===a.OBJECT_CLASS_LINE?(t=p.point1.coords.usrCoords,e=p.point2.coords.usrCoords,0===t[0]&&0===t[1]&&0===t[2]||0===e[0]&&0===e[1]&&0===e[2]?n=[0,0,0]:Math.abs(e[0])<i.eps?(o=Math.min(Math.abs(this.position),1-i.eps),o/=1-o,this.position<0&&(o=-o),n=[t[0]+o*e[0],t[1]+o*e[1],t[2]+o*e[2]]):Math.abs(t[0])<i.eps?(o=Math.max(this.position,i.eps),o=Math.min(o,2-i.eps),o=o>1?(o-1)/(o-2):(1-o)/o,n=[e[0]+o*t[0],e[1]+o*t[1],e[2]+o*t[2]]):(o=this.position,n=[t[0]+o*(e[0]-t[0]),t[1]+o*(e[1]-t[1]),t[2]+o*(e[2]-t[2])])):p.type===a.OBJECT_TYPE_TURTLE?(this.coords.setCoordinates(a.COORDS_BY_USER,[p.Z(this.position),p.X(this.position),p.Y(this.position)]),this.updateConstraint(),n=r.projectPointToTurtle(this,p,this.board).usrCoords):p.elementClass===a.OBJECT_CLASS_CURVE?(this.coords.setCoordinates(a.COORDS_BY_USER,[p.Z(this.position),p.X(this.position),p.Y(this.position)]),p.type===a.OBJECT_TYPE_ARC||p.type===a.OBJECT_TYPE_SECTOR?(h=r.rad([p.center.X()+1,p.center.Y()],p.center,p.radiuspoint),l=0,u=r.rad(p.radiuspoint,p.center,p.anglepoint),("minor"===p.visProp.selection&&u>Math.PI||"major"===p.visProp.selection&&u<Math.PI)&&(l=u,u=2*Math.PI),f=u-l,this.visProp.isgeonext&&(f=1),d=this.position*f,(l>d||d>u)&&(d=u,(l>d&&d>.5*l||d>u&&d>.5*u+Math.PI)&&(d=l),this.position=d,Math.abs(f)>i.eps&&(this.position/=f)),s=p.Radius(),n=[p.center.X()+s*Math.cos(this.position*f+h),p.center.Y()+s*Math.sin(this.position*f+h)]):(this.updateConstraint(),n=r.projectPointToCurve(this,p,this.board).usrCoords)):c.isPoint(p)&&(n=r.projectPointToPoint(this,p,this.board).usrCoords),void this.coords.setCoordinates(a.COORDS_BY_USER,n,!1)):void(this.needsUpdateFromParent=!0)},updateRendererGeneric:function(t){var e;return this.needsUpdate?(this.visProp.visible&&(e=this.isReal,this.isReal=!isNaN(this.coords.usrCoords[1]+this.coords.usrCoords[2]),this.isReal=Math.abs(this.coords.usrCoords[0])>i.eps?this.isReal:!1,this.isReal?(e!==this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.show(this.label)),this.board.renderer[t](this)):e!==this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.hide(this.label))),this.hasLabel&&this.visProp.visible&&this.label&&this.label.visProp.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this.needsUpdate=!1,this):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]},Dist:function(t){return this.isReal&&t.isReal?this.coords.distance(a.COORDS_BY_USER,t.coords):NaN},snapToGrid:function(t){return this.handleSnapToGrid(t)},handleSnapToPoints:function(t){var e,i,s,o,n,h,l=0,d=1/0,u=null,p=!1;if(o=this.board.objectsList.length,this.visProp.ignoredsnaptopoints&&(n=this.visProp.ignoredsnaptopoints.length),this.visProp.snaptopoints||t){for(e=0;o>e;e++){if(i=this.board.objectsList[e],this.visProp.ignoredsnaptopoints){for(p=!1,h=0;n>h;h++)if(i==this.board.select(this.visProp.ignoredsnaptopoints[h])){p=!0;break}if(p)continue}c.isPoint(i)&&i!==this&&i.visProp.visible&&(s=r.projectPointToPoint(this,i,this.board),l="screen"===this.visProp.attractorunit?s.distance(a.COORDS_BY_SCREEN,this.coords):s.distance(a.COORDS_BY_USER,this.coords),l<this.visProp.attractordistance&&d>l&&(d=l,u=s))}null!==u&&this.coords.setCoordinates(a.COORDS_BY_USER,u.usrCoords)}return this},snapToPoints:function(t){return this.handleSnapToPoints(t)},handleAttractors:function(){var t,e,i,s,o=0,h=this.visProp.attractors.length;if(0!==this.visProp.attractordistance){for(t=0;h>t;t++)if(e=this.board.select(this.visProp.attractors[t]),c.exists(e)&&e!==this){if(c.isPoint(e)?i=r.projectPointToPoint(this,e,this.board):e.elementClass===a.OBJECT_CLASS_LINE?(s=r.projectCoordsToSegment(this.coords.usrCoords,e.point1.coords.usrCoords,e.point2.coords.usrCoords),i=!e.visProp.straightfirst&&s[1]<0?e.point1.coords:!e.visProp.straightlast&&s[1]>1?e.point2.coords:new n(a.COORDS_BY_USER,s[0],this.board)):e.elementClass===a.OBJECT_CLASS_CIRCLE?i=r.projectPointToCircle(this,e,this.board):e.elementClass===a.OBJECT_CLASS_CURVE?i=r.projectPointToCurve(this,e,this.board):e.type===a.OBJECT_TYPE_TURTLE&&(i=r.projectPointToTurtle(this,e,this.board)),o="screen"===this.visProp.attractorunit?i.distance(a.COORDS_BY_SCREEN,this.coords):i.distance(a.COORDS_BY_USER,this.coords),o<this.visProp.attractordistance){(this.type!==a.OBJECT_TYPE_GLIDER||this.slideObject!==e)&&this.makeGlider(e);break}e===this.slideObject&&o>=this.visProp.snatchdistance&&this.popSlideObject()}return this}},setPositionDirectly:function(t,e){var r,s,h,l,c=this.coords;if(this.relativeCoords)return s=new n(t,e,this.board),this.visProp.islabel?(h=o.subtract(s.scrCoords,c.scrCoords),this.relativeCoords.scrCoords[1]+=h[1],this.relativeCoords.scrCoords[2]+=h[2]):(h=o.subtract(s.usrCoords,c.usrCoords),this.relativeCoords.usrCoords[1]+=h[1],this.relativeCoords.usrCoords[2]+=h[2]),this;for(this.coords.setCoordinates(t,e),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors(),r=this.transformations.length-1;r>=0;r--)t===a.COORDS_BY_SCREEN?l=new n(t,e,this.board).usrCoords:(2===e.length&&(e=[1].concat(e)),l=e),this.initialCoords.setCoordinates(a.COORDS_BY_USER,i.matVecMult(i.inverse(this.transformations[r].matrix),l));return this.prepareUpdate().update(),this.board.isSuspendedUpdate&&this.type===a.OBJECT_TYPE_GLIDER&&this.updateGlider(),this},setPositionByTransform:function(t,e){var i;return e=new n(t,e,this.board),i=this.board.create("transform",e.usrCoords.slice(1),{type:"translate"}),this.transformations.length>0&&this.transformations[this.transformations.length-1].isNumericMatrix?this.transformations[this.transformations.length-1].melt(i):this.addTransform(this,i),this.prepareUpdate().update(),this},setPosition:function(t,e){return this.setPositionDirectly(t,e)},setGliderPosition:function(t){return this.type===a.OBJECT_TYPE_GLIDER&&(this.position=t,this.board.update()),this},makeGlider:function(e){var i,r,s,o=this.board.select(e),n=!1;if(o.type===a.OBJECT_TYPE_POLYGON){for(i=Number.MAX_VALUE,r=0;r<o.borders.length;r++)s=t.Math.Geometry.distPointLine(this.coords.usrCoords,o.borders[r].stdform),i>s&&(i=s,e=o.borders[r]);o=this.board.select(e),n=!0}if(!c.exists(o))throw new Error("JSXGraph: slide object undefined.");if(o.type===a.OBJECT_TYPE_TICKS)throw new Error("JSXGraph: gliders on ticks are not possible.");return this.slideObject=this.board.select(e),this.slideObjects.push(this.slideObject),this.addParents(e),this.type=a.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.onPolygon=n,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this.needsUpdateFromParent=!0,this.updateGliderFromParent(),this},popSlideObject:function(){this.slideObjects.length>0&&(this.slideObjects.pop(),this.slideObject.removeChild(this),0===this.slideObjects.length?(this.type=this._org_type,this.type===a.OBJECT_TYPE_POINT?this.elType="point":this.elementClass===a.OBJECT_CLASS_TEXT?this.elType="text":this.type===a.OBJECT_TYPE_IMAGE&&(this.elType="image"),this.slideObject=null):this.slideObject=this.slideObjects[this.slideObjects.length-1])},free:function(){var t,e;if(this.type!==a.OBJECT_TYPE_GLIDER){if(this.transformations.length=0,this.isDraggable)return;this.isDraggable=!0,this.elementClass===a.OBJECT_CLASS_POINT&&(this.type=a.OBJECT_TYPE_POINT,this.elType="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(t in this.board.objects)this.board.objects.hasOwnProperty(t)&&(e=this.board.objects[t],e.descendants&&(delete e.descendants[this.id],delete e.childElements[this.id],this.hasLabel&&(delete e.descendants[this.label.id],delete e.childElements[this.label.id])));this.ancestors={},this.slideObject=null,this.slideObjects=[],this.elementClass===a.OBJECT_CLASS_POINT?(this.type=a.OBJECT_TYPE_POINT,this.elType="point"):this.elementClass===a.OBJECT_CLASS_TEXT?(this.type=this._org_type,this.elType="text"):this.elementClass===a.OBJECT_CLASS_OTHER&&(this.type=this._org_type,this.elType="image")},addConstraint:function(t){var e,i,r=[],s=["X","Y"],o=function(t){return function(){return t}},n=function(t){return function(){return t.Value()}};for(this.elementClass===a.OBJECT_CLASS_POINT&&(this.type=a.OBJECT_TYPE_CAS),this.isDraggable=!1,e=0;e<t.length;e++)i=t[e],c.isString(i)?(r[e]=this.board.jc.snippet(i,!0,null,!0),2===t.length&&(this[s[e]+"jc"]=t[e])):c.isFunction(i)?r[e]=i:c.isNumber(i)?r[e]=o(i):c.isObject(i)&&c.isFunction(i.Value)&&(r[e]=n(i)),r[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=r[0]();c.isArray(t)?this.coords.setCoordinates(a.COORDS_BY_USER,t):this.coords=t}:2===t.length?(this.XEval=r[0],this.YEval=r[1],this.setParents([r[0].origin,r[1].origin]),this.updateConstraint=function(){this.coords.setCoordinates(a.COORDS_BY_USER,[this.XEval(),this.YEval()])}):(this.ZEval=r[0],this.XEval=r[1],this.YEval=r[2],this.setParents([r[0].origin,r[1].origin,r[2].origin]),this.updateConstraint=function(){this.coords.setCoordinates(a.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()])}),this.prepareUpdate().update(),this.board.isSuspendedUpdate||this.updateRenderer(),this},addAnchor:function(t,e){e?this.relativeCoords=new n(a.COORDS_BY_SCREEN,t.slice(0,2),this.board):this.relativeCoords=new n(a.COORDS_BY_USER,t,this.board),this.element.addChild(this),e&&this.addParents(this.element),this.XEval=function(){var t,e,i;return this.visProp.islabel?(t=parseFloat(this.visProp.offset[0]),i=this.element.getLabelAnchor(),e=new n(a.COORDS_BY_SCREEN,[t+this.relativeCoords.scrCoords[1]+i.scrCoords[1],0],this.board),e.usrCoords[1]):(i=this.element.getTextAnchor(),this.relativeCoords.usrCoords[1]+i.usrCoords[1])},this.YEval=function(){var t,e,i;return this.visProp.islabel?(t=-parseFloat(this.visProp.offset[1]),i=this.element.getLabelAnchor(),e=new n(a.COORDS_BY_SCREEN,[0,t+this.relativeCoords.scrCoords[2]+i.scrCoords[2]],this.board),e.usrCoords[2]):(i=this.element.getTextAnchor(),this.relativeCoords.usrCoords[2]+i.usrCoords[2])},this.ZEval=c.createFunction(1,this.board,""),this.updateConstraint=function(){this.coords.setCoordinates(a.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()])},this.coords=new n(a.COORDS_BY_SCREEN,[0,0],this.board)},updateTransform:function(){var t;if(0===this.transformations.length)return this;for(t=0;t<this.transformations.length;t++)this.transformations[t].update();return this},addTransform:function(t,e){var i,r=c.isArray(e)?e:[e],s=r.length;for(0===this.transformations.length&&(this.baseElement=t),i=0;s>i;i++)this.transformations.push(r[i]);return this},startAnimation:function(t,e){var i=this;return this.type!==a.OBJECT_TYPE_GLIDER||c.exists(this.intervalCode)||(this.intervalCode=window.setInterval(function(){i._anim(t,e)},250),c.exists(this.intervalCount)||(this.intervalCount=0)),this},stopAnimation:function(){return c.exists(this.intervalCode)&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(t,e,i){i=i||{};var r,o,n,h,l,d=[],u=[],p=this.board.attr.animationdelay,f=e/p,m=function(e,i){return function(){return t[e][i]}};if(c.isArray(t)){for(n=t.length,r=0;n>r;r++)c.isPoint(t[r])?u[r]=t[r]:u[r]={elementClass:a.OBJECT_CLASS_POINT,X:m(r,0),Y:m(r,1)};if(e=e||0,0===e)return this.setPosition(a.COORDS_BY_USER,[u[u.length-1].X(),u[u.length-1].Y()]),this.board.update(this);if(!c.exists(i.interpolate)||i.interpolate)for(o=s.Neville(u),r=0;f>r;r++)d[r]=[],d[r][0]=o[0]((f-r)/f*o[3]()),d[r][1]=o[1]((f-r)/f*o[3]());else{for(n=t.length-1,r=0;f>r;++r)h=Math.floor(r/f*n),l=r/f*n-h,d[r]=[],d[r][0]=(1-l)*u[h].X()+l*u[h+1].X(),d[r][1]=(1-l)*u[h].Y()+l*u[h+1].Y();d.push([u[n].X(),u[n].Y()]),d.reverse()}this.animationPath=d}else c.isFunction(t)&&(this.animationPath=t,this.animationStart=(new Date).getTime());return this.animationCallback=i.callback,this.board.addAnimation(this),this},moveTo:function(t,e,r){r=r||{},t=new n(a.COORDS_BY_USER,t,this.board);var s,o=this.board.attr.animationdelay,h=Math.ceil(e/o),l=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,m=function(t){return r.effect&&"<>"===r.effect?Math.pow(Math.sin(t/h*Math.PI/2),2):t/h};if(!c.exists(e)||0===e||Math.abs(t.usrCoords[0]-this.coords.usrCoords[0])>i.eps)return this.setPosition(a.COORDS_BY_USER,t.usrCoords),this.board.update(this);if(!c.exists(r.callback)&&Math.abs(p)<i.eps&&Math.abs(f)<i.eps)return this;for(s=h;s>=0;s--)l[h-s]=[t.usrCoords[0],d+p*m(s),u+f*m(s)];return this.animationPath=l,this.animationCallback=r.callback,this.board.addAnimation(this),this},visit:function(t,e,i){t=new n(a.COORDS_BY_USER,t,this.board);var r,s,o,h=this.board.attr.animationdelay,l=[],d=this.coords.usrCoords[1],u=this.coords.usrCoords[2],p=t.usrCoords[1]-d,f=t.usrCoords[2]-u,m=function(t){var e=o/2>t?2*t/o:2*(o-t)/o;return i.effect&&"<>"===i.effect?Math.pow(Math.sin(e*Math.PI/2),2):e};for(c.isNumber(i)?i={repeat:i}:(i=i||{},c.exists(i.repeat)||(i.repeat=1)),o=Math.ceil(e/(h*i.repeat)),s=0;s<i.repeat;s++)for(r=o;r>=0;r--)l[s*(o+1)+o-r]=[t.usrCoords[0],d+p*m(r),u+f*m(r)];return this.animationPath=l,this.animationCallback=i.callback,this.board.addAnimation(this),this},_anim:function(t,e){var i,s,o,n,h,l,c,d,u=1;return this.intervalCount+=1,this.intervalCount>e&&(this.intervalCount=0),this.slideObject.elementClass===a.OBJECT_CLASS_LINE?(i=this.slideObject.point1.coords.distance(a.COORDS_BY_SCREEN,this.slideObject.point2.coords),s=this.slideObject.getSlope(),s!==1/0?(h=Math.atan(s),o=Math.round(this.intervalCount/e*i*Math.cos(h)),n=Math.round(this.intervalCount/e*i*Math.sin(h))):(o=0,n=Math.round(this.intervalCount/e*i)),0>t?(l=this.slideObject.point2,this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]>0?u=-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&&(u=-1)):(l=this.slideObject.point1,this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]>0?u=-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&&(u=-1)),this.coords.setCoordinates(a.COORDS_BY_SCREEN,[l.coords.scrCoords[1]+u*o,l.coords.scrCoords[2]+u*n])):this.slideObject.elementClass===a.OBJECT_CLASS_CURVE?(c=t>0?Math.round(this.intervalCount/e*this.board.canvasWidth):Math.round((e-this.intervalCount)/e*this.board.canvasWidth),this.coords.setCoordinates(a.COORDS_BY_SCREEN,[c,0]),this.coords=r.projectPointToCurve(this,this.slideObject,this.board)):this.slideObject.elementClass===a.OBJECT_CLASS_CIRCLE&&(h=0>t?this.intervalCount/e*2*Math.PI:(e-this.intervalCount)/e*2*Math.PI,d=this.slideObject.Radius(),this.coords.setCoordinates(a.COORDS_BY_USER,[this.slideObject.center.coords.usrCoords[1]+d*Math.cos(h),this.slideObject.center.coords.usrCoords[2]+d*Math.sin(h)])),this.board.update(this),this},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},getParents:function(){var t=[this.Z(),this.X(),this.Y()];return 0!==this.parents.length&&(t=this.parents),this.type===a.OBJECT_TYPE_GLIDER&&(t=[this.X(),this.Y(),this.slideObject.id]),t}}),t.CoordsElement.create=function(t,e,i,r,s,o){var n,a,h=!1;for(a=0;a<i.length;a++)(c.isFunction(i[a])||c.isString(i[a]))&&(h=!0);if(h)n=new t(e,[0,0],r,s,o),n.addConstraint(i);else if(c.isNumber(i[0])&&c.isNumber(i[1]))n=new t(e,i,r,s,o),c.exists(r.slideobject)?n.makeGlider(r.slideobject):n.baseElement=n,n.isDraggable=!0;else{if(!c.isObject(i[0])||!(c.isObject(i[1])||c.isArray(i[1])&&i[1].length>0&&c.isObject(i[1][0])))return!1;n=new t(e,[0,0],r,s,o),n.addTransform(i[0],i[1]),n.isDraggable=!1}return n.handleSnapToGrid(),n.handleSnapToPoints(),n.handleAttractors(),n.addParents(i),n},t.CoordsElement}),define("base/text",["jxg","base/constants","base/coords","base/element","parser/geonext","math/statistics","utils/env","utils/type","math/math","base/coordselement"],function(t,e,i,r,s,o,n,a,h,l){"use strict";var c={HTMLSliderInputEventHandler:function(){this._val=parseFloat(this.rendNodeRange.value),this.rendNodeOut.value=this.rendNodeRange.value,this.board.update()}};return t.Text=function(t,i,r,s){this.constructor(t,r,e.OBJECT_TYPE_TEXT,e.OBJECT_CLASS_TEXT),this.element=this.board.select(r.anchor),this.coordsConstructor(i,this.visProp.islabel),this.content="",this.plaintext="",this.plaintextOld=null,this.orgText="",this.needsSizeUpdate=!1,this.hiddenByParent=!1,this.size=[1,1],this.id=this.board.setId(this,"T"),this._setUpdateText(s),this.updateText(),this.board.renderer.drawText(this),this.board.finalizeAdding(this),a.isString(this.content)&&this.notifyParents(this.content),this.elType="text",this.methodMap=a.deepCopy(this.methodMap,{setText:"setTextJessieCode",move:"setCoords"})},t.Text.prototype=new r,a.copyPrototypeMethods(t.Text,l,"coordsConstructor"),t.extend(t.Text.prototype,{hasPoint:function(t,e){var i,r,s,o,n=this.board.options.precision.hasPoint;return this.transformations.length>0&&(i=h.matVecMult(h.inverse(this.board.renderer.joinTransforms(this,this.transformations)),[1,t,e]),t=i[1],e=i[2]),i="right"===this.visProp.anchorx?this.coords.scrCoords[1]-this.size[0]:"middle"===this.visProp.anchorx?this.coords.scrCoords[1]-.5*this.size[0]:this.coords.scrCoords[1],r=i+this.size[0],o="top"===this.visProp.anchory?this.coords.scrCoords[2]+this.size[1]:"middle"===this.visProp.anchory?this.coords.scrCoords[2]+.5*this.size[1]:this.coords.scrCoords[2],s=o-this.size[1],"all"===this.visProp.dragarea?t>=i-n&&r+n>t&&e>=s-n&&o+n>=e:e>=s-n&&o+n>=e&&(t>=i-n&&i+2*n>=t||t>=r-2*n&&r+n>=t)},_setUpdateText:function(t){var e;this.orgText=t,a.isFunction(t)?this.updateText=function(){this.visProp.parse&&!this.visProp.usemathjax?this.plaintext=this.replaceSub(this.replaceSup(this.convertGeonext2CSS(t()))):this.plaintext=t()}:a.isString(t)&&!this.visProp.parse?this.updateText=function(){this.plaintext=t}:(a.isNumber(t)?this.content=t.toFixed(this.visProp.digits):this.visProp.useasciimathml?this.content="'`"+t+"`'":this.visProp.usemathjax?this.content="'"+t+"'":this.content=this.generateTerm(t,!0),e=this.board.jc.snippet(this.content,!0,"",!1),this.updateText=function(){this.plaintext=e()})},_setText:function(t){return this._setUpdateText(t),this.updateText(),this.prepareUpdate().update().updateRenderer(),this.board.infobox&&this.id===this.board.infobox.id||this.updateSize(),this},setTextJessieCode:function(t){var e;return this.visProp.castext=t,e=a.isFunction(t)?function(){return a.sanitizeHTML(t())}:a.isNumber(t)?t:a.sanitizeHTML(t),this._setText(e)},setText:function(t){return this._setText(t)},updateSize:function(){var e,i,r,s;if(!n.isBrowser||"no"===this.board.renderer.type)return this;
if(s=this.rendNode,"html"===this.visProp.display||"vml"===this.board.renderer.type)t.exists(s.offsetWidth)?(i=[s.offsetWidth,s.offsetHeight],0===i[0]&&0===i[1]?(r=this,window.setTimeout(function(){r.size=[s.offsetWidth,s.offsetHeight]},0)):this.size=i):this.size=this.crudeSizeEstimate();else if("internal"===this.visProp.display)if("svg"===this.board.renderer.type)try{e=s.getBBox(),this.size=[e.width,e.height]}catch(o){}else"canvas"===this.board.renderer.type&&(this.size=this.crudeSizeEstimate());return this},crudeSizeEstimate:function(){return[parseFloat(this.visProp.fontsize)*this.plaintext.length*.45,.9*parseFloat(this.visProp.fontsize)]},utf8_decode:function(t){return t.replace(/&#x(\w+);/g,function(t,e){return String.fromCharCode(parseInt(e,16))})},replaceSub:function(t){if(!t.indexOf)return t;for(var e,i=t.indexOf("_{");i>=0;)t=t.substr(0,i)+t.substr(i).replace(/_\{/,"<sub>"),e=t.substr(i).indexOf("}"),e>=0&&(t=t.substr(0,e)+t.substr(e).replace(/\}/,"</sub>")),i=t.indexOf("_{");for(i=t.indexOf("_");i>=0;)t=t.substr(0,i)+t.substr(i).replace(/_(.?)/,"<sub>$1</sub>"),i=t.indexOf("_");return t},replaceSup:function(t){if(!t.indexOf)return t;for(var e,i=t.indexOf("^{");i>=0;)t=t.substr(0,i)+t.substr(i).replace(/\^\{/,"<sup>"),e=t.substr(i).indexOf("}"),e>=0&&(t=t.substr(0,e)+t.substr(e).replace(/\}/,"</sup>")),i=t.indexOf("^{");for(i=t.indexOf("^");i>=0;)t=t.substr(0,i)+t.substr(i).replace(/\^(.?)/,"<sup>$1</sup>"),i=t.indexOf("^");return t},getSize:function(){return this.size},setCoords:function(t,i){var r,s,o;return a.isArray(t)&&t.length>1&&(i=t[1],t=t[0]),this.visProp.islabel&&a.exists(this.element)?(r=this.element.getLabelAnchor(),s=(t-r.usrCoords[1])*this.board.unitX,o=-(i-r.usrCoords[2])*this.board.unitY,this.relativeCoords.setCoordinates(e.COORDS_BY_SCREEN,[s,o])):this.coords.setCoordinates(e.COORDS_BY_USER,[t,i]),this.prepareUpdate().update().updateRenderer(),this},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateText(),"internal"===this.visProp.display&&(this.plaintext=this.utf8_decode(this.plaintext)),this.checkForSizeUpdate(),this.needsSizeUpdate&&this.updateSize(),this):this},checkForSizeUpdate:function(){this.board.infobox&&this.id===this.board.infobox.id?this.needsSizeUpdate=!1:(this.needsSizeUpdate=this.plaintextOld!==this.plaintext,this.needsSizeUpdate&&(this.plaintextOld=this.plaintext))},updateRenderer:function(){return this.updateRendererGeneric("updateText")},expandShortMath:function(t){var e=/([\)0-9\.])\s*([\(a-zA-Z_])/g;return t.replace(e,"$1*$2")},generateTerm:function(t,e){var i,r,o,n,h='""';if(t=t||"",t=t.replace(/\r/g,""),t=t.replace(/\n/g,""),t=t.replace(/"/g,"'"),t=t.replace(/'/g,"\\'"),t=t.replace(/&amp;arc;/g,"&ang;"),t=t.replace(/<arc\s*\/>/g,"&ang;"),t=t.replace(/&lt;arc\s*\/&gt;/g,"&ang;"),t=t.replace(/&lt;sqrt\s*\/&gt;/g,"&radic;"),t=t.replace(/&lt;value&gt;/g,"<value>"),t=t.replace(/&lt;\/value&gt;/g,"</value>"),o=t.indexOf("<value>"),n=t.indexOf("</value>"),o>=0)for(;o>=0;)h+=' + "'+this.replaceSub(this.replaceSup(t.slice(0,o)))+'"',r=t.slice(o+7,n),r=r.replace(/\s+/g,""),e===!0&&(r=this.expandShortMath(r)),i=s.geonext2JS(r,this.board),i=i.replace(/\\"/g,"'"),i=i.replace(/\\'/g,"'"),h+=i.indexOf("toFixed")<0&&a.isNumber(a.bind(this.board.jc.snippet(i,!0,"",!1),this)())?"+("+i+").toFixed("+this.visProp.digits+")":"+("+i+")",t=t.slice(n+8),o=t.indexOf("<value>"),n=t.indexOf("</value>");return h+=' + "'+this.replaceSub(this.replaceSup(t))+'"',h=this.convertGeonext2CSS(h),h=h.replace(/&amp;/g,"&"),h=h.replace(/"/g,"'")},convertGeonext2CSS:function(t){return a.isString(t)&&(t=t.replace(/<overline>/g,"<span style=text-decoration:overline>"),t=t.replace(/&lt;overline&gt;/g,"<span style=text-decoration:overline>"),t=t.replace(/<\/overline>/g,"</span>"),t=t.replace(/&lt;\/overline&gt;/g,"</span>"),t=t.replace(/<arrow>/g,"<span style=text-decoration:overline>"),t=t.replace(/&lt;arrow&gt;/g,"<span style=text-decoration:overline>"),t=t.replace(/<\/arrow>/g,"</span>"),t=t.replace(/&lt;\/arrow&gt;/g,"</span>")),t},notifyParents:function(t){var e,i=null;t=t.replace(/&lt;value&gt;/g,"<value>"),t=t.replace(/&lt;\/value&gt;/g,"</value>");do e=/<value>([\w\s\*\/\^\-\+\(\)\[\],<>=!]+)<\/value>/,i=e.exec(t),null!==i&&(s.findDependencies(this,i[1],this.board),t=t.substr(i.index),t=t.replace(e,""));while(null!==i);return this},getParents:function(){var t;return t=void 0!==this.relativeCoords?[this.relativeCoords.usrCoords[1],this.relativeCoords.usrCoords[2],this.orgText]:[this.Z(),this.X(),this.Y(),this.orgText],0!==this.parents.length&&(t=this.parents),t},bounds:function(){var t=this.coords.usrCoords;return this.visProp.islabel||0===this.board.unitY||0===this.board.unitX?[0,0,0,0]:[t[1],t[2]+this.size[1]/this.board.unitY,t[1]+this.size[0]/this.board.unitX,t[2]]}}),t.createText=function(e,i,r){var s,o=a.copyAttributes(r,e.options,"text"),n=i.slice(0,-1),h=i[i.length-1];if(o.anchor=o.parent||o.anchor,s=l.create(t.Text,e,n,o,h),!s)throw new Error("JSXGraph: Can't create text with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return 0!==a.evaluate(o.rotate)&&"internal"===o.display&&s.addRotation(a.evaluate(o.rotate)),s},t.registerElement("text",t.createText),t.createHTMLSlider=function(e,i,r){var s,o,h=a.copyAttributes(r,e.options,"htmlslider");if(2!==i.length||2!==i[0].length||3!==i[1].length)throw new Error("JSXGraph: Can't create htmlslider with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parents are: [[x,y], [min, start, max]]");return h.anchor=h.parent||h.anchor,h.fixed=h.fixed||!0,o=[i[0][0],i[0][1],'<form style="display:inline"><input type="range" /><span></span><input type="text" /></form>'],s=t.createText(e,o,h),s.type=a.OBJECT_TYPE_HTMLSLIDER,s.rendNodeForm=s.rendNode.childNodes[0],s.rendNodeForm.id=s.rendNode.id+"_form",s.rendNodeRange=s.rendNodeForm.childNodes[0],s.rendNodeRange.id=s.rendNode.id+"_range",s.rendNodeRange.min=i[1][0],s.rendNodeRange.max=i[1][2],s.rendNodeRange.step=h.step,s.rendNodeRange.value=i[1][1],s.rendNodeLabel=s.rendNodeForm.childNodes[1],s.rendNodeLabel.id=s.rendNode.id+"_label",h.withlabel&&(s.rendNodeLabel.innerHTML=s.name+"="),s.rendNodeOut=s.rendNodeForm.childNodes[2],s.rendNodeOut.id=s.rendNode.id+"_out",s.rendNodeOut.value=i[1][1],s.rendNodeRange.style.width=h.widthrange+"px",s.rendNodeRange.style.verticalAlign="middle",s.rendNodeOut.style.width=h.widthout+"px",s._val=i[1][1],t.supportsVML()?n.addEvent(s.rendNodeForm,"change",c.HTMLSliderInputEventHandler,s):n.addEvent(s.rendNodeForm,"input",c.HTMLSliderInputEventHandler,s),s.Value=function(){return this._val},s},t.registerElement("htmlslider",t.createHTMLSlider),{Text:t.Text,createText:t.createText,createHTMLSlider:t.createHTMLSlider}}),define("utils/uuid",["jxg"],function(t){"use strict";var e="0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz",i=e.split("");return t.Util=t.Util||{},t.Util.genUUID=function(){var t,e,r=[],s=0;for(e=0;36>e;e++)8===e||13===e||18===e||23===e?r[e]="-":14===e?r[e]="4":(2>=s&&(s=33554432+16777216*Math.random()|0),t=15&s,s>>=4,r[e]=i[19===e?3&t|8:t]);return r.join("")},t.Util}),define("parser/jessiecode",["jxg","base/constants","base/text","math/math","math/geometry","math/statistics","utils/type","utils/uuid","utils/env"],function(JXG,Const,Text,Mat,Geometry,Statistics,Type,UUID,Env){Object.create||(Object.create=function(t,e){function i(){}if("object"!=typeof t&&"function"!=typeof t)throw new TypeError("Object prototype may only be an Object: "+t);if(null===t)throw new Error("This browser's implementation of Object.create is a shim and doesn't support 'null' as the first argument.");if("undefined"!=typeof e)throw new Error("This browser's implementation of Object.create is a shim and doesn't support a second argument.");return i.prototype=t,new i});var priv={modules:{math:Mat,"math/geometry":Geometry,"math/statistics":Statistics,"math/numerics":Mat.Numerics}};JXG.JessieCode=function(t,e){this.scope={id:0,hasChild:!0,args:[],locals:{},context:null,previous:null},this.scopes=[],this.scopes.push(this.scope),this.dpstack=[[]],this.pscope=0,this.propstack=[{}],this.propscope=0,this.lhs=[],this.isLHS=!1,this.warnLog="jcwarn",this.$log=[],this.builtIn=this.defineBuiltIn(),this.board=null,this.lineToElement={},this.parCurLine=1,this.parCurColumn=0,this.line=1,this.col=1,this.code="","string"==typeof t&&this.parse(t,e)},JXG.extend(JXG.JessieCode.prototype,{node:function(t,e,i){return{type:t,value:e,children:i}},createNode:function(t,e,i){var r,s=this.node(t,e,[]);for(r=2;r<arguments.length;r++)s.children.push(arguments[r]);return s.line=this.parCurLine,s.col=this.parCurColumn,s},pushScope:function(t){var e={args:t,locals:{},context:null,previous:this.scope};return this.scope.hasChild=!0,this.scope=e,e.id=this.scopes.push(e)-1,e},popScope:function(){var t=this.scope.previous;return this.scope=null!==t?t:this.scope,this.scope},getElementById:function(t){return this.board.objects[t]},log:function(){this.$log.push(arguments),"object"==typeof console&&console.log&&console.log.apply(console,arguments)},creator:function(){var t,e={};return t=function(t){var i;return"function"==typeof e[this.board.id+t]?i=e[this.board.id+t]:(i=function(e){return function(i,r){var s;return s=Type.exists(r)?r:{name:0!==e.lhs[e.scope]?e.lhs[e.scope]:""},e.board.create(t,i,s)}}(this),i.creator=!0,e[this.board.id+t]=i),i},t.clearCache=function(){e={}},t}(),letvar:function(t,e){this.builtIn[t]&&this._warn('"'+t+'" is a predefined value.'),this.scope.locals[t]=e},isLocalVariable:function(t){for(var e=this.scope;null!==e;){if(Type.exists(e.locals[t]))return e;e=e.previous}return null},isParameter:function(t){for(var e=this.scope;null!==e;){if(Type.indexOf(e.args,t)>-1)return e;e=e.previous}return null},isCreator:function(t){return!!JXG.elements[t]},isMathMethod:function(t){return"E"!==t&&!!Math[t]},isBuiltIn:function(t){return!!this.builtIn[t]},getvar:function(t,e){var i;return e=Type.def(e,!1),i=this.isLocalVariable(t),null!==i?i.locals[t]:this.isCreator(t)?this.creator(t):this.isBuiltIn(t)?this.builtIn[t]:this.isMathMethod(t)?Math[t]:e||(i=this.board.select(t),i===t)?void 0:i},resolve:function(t){for(var e=this.scope;null!==e;){if(Type.exists(e.locals[t]))return e.locals[t];e=e.previous}},getvarJS:function(t,e,i){var r,s="";return e=Type.def(e,!1),i=Type.def(i,!1),r=this.isParameter(t),null!==r?t:(r=this.isLocalVariable(t),null===r||i?this.isCreator(t)?"(function () { var a = Array.prototype.slice.call(arguments, 0), props = "+(i?"a.pop()":"{}")+"; return $jc$.board.create.apply($jc$.board, ['"+t+"'].concat([a, props])); })":(i&&this._error("Syntax error (attribute values are allowed with element creators only)"),this.isBuiltIn(t)?this.builtIn[t].src||this.builtIn[t]:this.isMathMethod(t)?"Math."+t:e?"":(Type.isId(this.board,t)?s="$jc$.board.objects['"+t+"']":Type.isName(this.board,t)?s="$jc$.board.elementsByName['"+t+"']":Type.isGroup(this.board,t)&&(s="$jc$.board.groups['"+t+"']"),s)):"$jc$.resolve('"+t+"')")},makeMap:function(t){return t.isMap=!0,t},functionCodeJS:function(t){var e=t.children[0].join(", "),i="",r="";return"op_map"===t.value&&(i="{ return  ",r=" }"),"function ("+e+") {\nvar $oldscope$ = $jc$.scope;\n$jc$.scope = $jc$.scopes["+this.scope.id+"];\nvar r = (function () "+i+this.compile(t.children[1],!0)+r+")();\n$jc$.scope = $oldscope$;\nreturn r;\n}"},defineFunction:function(node){var fun,i,list=node.children[0],scope=this.pushScope(list);if(this.board.options.jc.compile){for(this.isLHS=!1,i=0;i<list.length;i++)scope.locals[list[i]]=list[i];this.replaceNames(node.children[1]),fun=function($jc$){var fun,str="var f = "+$jc$.functionCodeJS(node)+"; f;";try{return fun=eval(str)}catch(e){return $jc$._warn("error compiling function\n\n"+str+"\n\n"+e.toString()),function(){}}}(this),this.popScope()}else fun=function(t,e,i){return function(){var r,s;for(s=e.scope,e.scope=e.scopes[i],r=0;r<t.length;r++)e.scope.locals[t[r]]=arguments[r];return r=e.execute(node.children[1]),e.scope=s,r}}(list,this,scope.id);return fun.node=node,fun.scope=scope,fun.toJS=fun.toString,fun.toString=function(t){return function(){return t.compile(t.replaceIDs(Type.deepCopy(node)))}}(this),fun.deps={},this.collectDependencies(node.children[1],fun.deps),fun},mergeAttributes:function(t){var e,i={};for(e=0;e<arguments.length;e++)i=Type.deepCopy(i,arguments[e],!0);return i},setProp:function(t,e,i){var r,s,o={};t.elementClass!==Const.OBJECT_CLASS_POINT||"X"!==e&&"Y"!==e?t.elementClass!==Const.OBJECT_CLASS_TEXT||"X"!==e&&"Y"!==e?t.type&&t.elementClass&&t.visProp?Type.exists(t[t.methodMap[e]])&&"function"!=typeof t[t.methodMap[e]]?t[t.methodMap[e]]=i:(o[e]=i,t.setAttribute(o)):t[e]=i:("number"==typeof i?t[e]=function(){return i}:"function"==typeof i?(t.isDraggable=!1,t[e]=i):"string"==typeof i&&(t.isDraggable=!1,t[e]=Type.createFunction(i,this.board,null,!0),t[e+"jc"]=i),t[e].origin=i,this.board.update()):(e=e.toLowerCase(),t.isDraggable&&"number"==typeof i?(r="x"===e?i:t.X(),s="y"===e?i:t.Y(),t.setPosition(Const.COORDS_BY_USER,[r,s])):!t.isDraggable||"function"!=typeof i&&"string"!=typeof i?t.isDraggable||(r="x"===e?i:t.XEval.origin,s="y"===e?i:t.YEval.origin,t.addConstraint([r,s])):(r="x"===e?i:t.coords.usrCoords[1],s="y"===e?i:t.coords.usrCoords[2],t.addConstraint([r,s])),this.board.update())},parse:function(t,e,i){var r,s,o,n,a=t.replace(/\r\n/g,"\n").split("\n"),h=[];i||(this.code+=t+"\n"),Text&&(s=Text.Text.prototype.setText,Text.Text.prototype.setText=Text.Text.prototype.setTextJessieCode);try{for(Type.exists(e)||(e=!1),r=0;r<a.length;r++)e&&(a[r]=JXG.GeonextParser.geonext2JS(a[r],this.board)),h.push(a[r]);t=h.join("\n"),o=parser.parse(t),n=this.execute(o)}catch(l){}finally{Text&&(Text.Text.prototype.setText=s)}return n},snippet:function(t,e,i,r){var s;return e=Type.def(e,!0),i=Type.def(i,""),r=Type.def(r,!1),s=(e?" function ("+i+") { return ":"")+t+(e?"; }":"")+";",this.parse(s,r,!0)},replaceIDs:function(t){var e,i;if(t.replaced&&(i=this.board.objects[t.children[1][0].value],Type.exists(i)&&""!==i.name&&(t.type="node_var",t.value=i.name,t.children.length=0,delete t.replaced)),t.children)for(e=t.children.length;e>0;e--)Type.exists(t.children[e-1])&&(t.children[e-1]=this.replaceIDs(t.children[e-1]));return t},replaceNames:function(t){var e,i;if(i=t.value,"node_op"===t.type&&"op_lhs"===i&&1===t.children.length?this.isLHS=!0:"node_var"===t.type&&(this.isLHS?this.letvar(i,!0):!Type.exists(this.getvar(i,!0))&&Type.exists(this.board.elementsByName[i])&&(t=this.createReplacementNode(t))),t.children)for(e=t.children.length;e>0;e--)Type.exists(t.children[e-1])&&(t.children[e-1]=this.replaceNames(t.children[e-1]));return"node_op"===t.type&&"op_lhs"===t.value&&1===t.children.length&&(this.isLHS=!1),t},createReplacementNode:function(t){var e=t.value,i=this.board.elementsByName[e];return t=this.createNode("node_op","op_execfun",this.createNode("node_var","$"),[this.createNode("node_str",i.id)]),t.replaced=!0,t},collectDependencies:function(t,e){var i,r,s;if(r=t.value,"node_var"===t.type&&(s=this.getvar(r),s&&s.visProp&&s.type&&s.elementClass&&s.id&&(e[s.id]=s)),"node_op"===t.type&&"op_execfun"===t.value&&t.children.length>1&&"$"===t.children[0].value&&t.children[1].length>0&&(s=t.children[1][0].value,e[s]=this.board.objects[s]),t.children)for(i=t.children.length;i>0;i--)Type.exists(t.children[i-1])&&this.collectDependencies(t.children[i-1],e)},resolveProperty:function(t,e,i){return i=Type.def(i,!1),t&&t.methodMap&&(Type.exists(t.subs)&&Type.exists(t.subs[e])?t=t.subs:Type.exists(t.methodMap[e])?e=t.methodMap[e]:(t=t.visProp,e=e.toLowerCase())),Type.exists(t)||this._error(t+" is not an object"),Type.exists(t[e])||this._error("unknown property "+e),i&&"function"==typeof t[e]?function(){return t[e].apply(t,arguments)}:t[e]},getLHS:function(t){var e;if("node_var"===t.type)e={o:this.scope.locals,what:t.value};else if("node_op"===t.type&&"op_property"===t.value)e={o:this.execute(t.children[0]),what:t.children[1]};else{if("node_op"!==t.type||"op_extvalue"!==t.value)throw new Error("Syntax error: Invalid left-hand side of assignment.");e={o:this.execute(t.children[0]),what:this.execute(t.children[1])}}return e},getLHSCompiler:function(t,e){var i;if("node_var"===t.type)i=t.value;else if("node_op"===t.type&&"op_property"===t.value)i=[this.compile(t.children[0],e),"'"+t.children[1]+"'"];else{if("node_op"!==t.type||"op_extvalue"!==t.value)throw new Error("Syntax error: Invalid left-hand side of assignment.");i=[this.compile(t.children[0],e),"node_const"===t.children[1].type?t.children[1].value:this.compile(t.children[1],e)]}return i},execute:function(t){var e,i,r,s,o,n,a,h,l,c,d,u=[];if(e=0,!t)return e;switch(this.line=t.line,this.col=t.col,t.type){case"node_op":switch(t.value){case"op_none":t.children[0]&&this.execute(t.children[0]),t.children[1]&&(e=this.execute(t.children[1]));break;case"op_assign":i=this.getLHS(t.children[0]),this.lhs[this.scope.id]=i[1],i.o.type&&i.o.elementClass&&i.o.methodMap&&"label"===i.what&&this._error("Left-hand side of assignment is read-only."),e=this.execute(t.children[1]),i.o!==this.scope.locals||Type.isArray(i.o)&&"number"==typeof i.what?this.setProp(i.o,i.what,e):this.letvar(i.what,e),this.lhs[this.scope.id]=0;break;case"op_if":this.execute(t.children[0])&&(e=this.execute(t.children[1]));break;case"op_conditional":case"op_if_else":e=this.execute(t.children[0])?this.execute(t.children[1]):this.execute(t.children[2]);break;case"op_while":for(;this.execute(t.children[0]);)this.execute(t.children[1]);break;case"op_do":do this.execute(t.children[0]);while(this.execute(t.children[1]));break;case"op_for":for(this.execute(t.children[0]);this.execute(t.children[1]);this.execute(t.children[2]))this.execute(t.children[3]);break;case"op_proplst":t.children[0]&&this.execute(t.children[0]),t.children[1]&&this.execute(t.children[1]);break;case"op_emptyobject":e={};break;case"op_proplst_val":this.propstack.push({}),this.propscope++,this.execute(t.children[0]),e=this.propstack[this.propscope],this.propstack.pop(),this.propscope--;break;case"op_prop":this.propstack[this.propscope][t.children[0]]=this.execute(t.children[1]);break;case"op_array":for(e=[],o=t.children[0].length,r=0;o>r;r++)e.push(this.execute(t.children[0][r]));break;case"op_extvalue":e=this.execute(t.children[0]),r=this.execute(t.children[1]),e="number"==typeof r&&Math.abs(Math.round(r)-r)<Mat.eps?e[r]:n;break;case"op_return":if(0!==this.scope)return this.execute(t.children[0]);this._error("Unexpected return.");break;case"op_map":t.children[1].isMath||this._error("In a map only function calls and mathematical expressions are allowed."),l=this.defineFunction(t),l.isMap=!0,e=l;break;case"op_function":l=this.defineFunction(t),l.isMap=!1,e=l;break;case"op_execfun":if(this.dpstack.push([]),this.pscope++,a=t.children[1],Type.exists(t.children[2]))if(t.children[3])for(h=t.children[2],c={},r=0;r<h.length;r++)c=Type.deepCopy(c,this.execute(h[r]),!0);else c=this.execute(t.children[2]);for(l=this.execute(t.children[0]),d=l&&l.sc?l.sc:this,!l.creator&&Type.exists(t.children[2])&&this._error("Unexpected value. Only element creators are allowed to have a value after the function call."),r=0;r<a.length;r++)u[r]=this.execute(a[r]),this.dpstack[this.pscope].push({line:t.children[1][r].line,col:t.children[1][r].ecol});if("function"!=typeof l||l.creator)if("function"==typeof l&&l.creator){s=this.line;try{for(e=l(u,c),e.jcLineStart=s,e.jcLineEnd=t.eline,r=s;r<=t.line;r++)this.lineToElement[r]=e;e.debugParents=this.dpstack[this.pscope]}catch(p){this._error(p.toString())}}else this._error("Function '"+l+"' is undefined.");else e=l.apply(d,u);this.dpstack.pop(),this.pscope--;break;case"op_property":s=this.execute(t.children[0]),i=t.children[1],e=this.resolveProperty(s,i,!1),Type.exists(e)&&(e.sc=s);break;case"op_use":this._warn("Use of the 'use' operator is deprecated."),this.use(t.children[0].toString());break;case"op_delete":this._warn("Use of the 'delete' operator is deprecated. 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this.yylloc={first_line:this.yylloc.first_line,last_line:this.yylineno+1,first_column:this.yylloc.first_column,last_column:i?(i.length===r.length?this.yylloc.first_column:0)+r[r.length-i.length].length-i[0].length:this.yylloc.first_column-e},this.options.ranges&&(this.yylloc.range=[s[0],s[0]+this.yyleng-e]),this.yyleng=this.yytext.length,this},more:function(){return this._more=!0,this},reject:function(){return this.options.backtrack_lexer?(this._backtrack=!0,this):this.parseError("Lexical error on line "+(this.yylineno+1)+". You can only invoke reject() in the lexer when the lexer is of the backtracking persuasion (options.backtrack_lexer = true).\n"+this.showPosition(),{text:"",token:null,line:this.yylineno})},less:function(t){this.unput(this.match.slice(t))},pastInput:function(){var t=this.matched.substr(0,this.matched.length-this.match.length);return(t.length>20?"...":"")+t.substr(-20).replace(/\n/g,"")},upcomingInput:function(){var t=this.match;return t.length<20&&(t+=this._input.substr(0,20-t.length)),(t.substr(0,20)+(t.length>20?"...":"")).replace(/\n/g,"")},showPosition:function(){var t=this.pastInput(),e=new Array(t.length+1).join("-");return t+this.upcomingInput()+"\n"+e+"^"},test_match:function(t,e){var i,r,s;if(this.options.backtrack_lexer&&(s={yylineno:this.yylineno,yylloc:{first_line:this.yylloc.first_line,last_line:this.last_line,first_column:this.yylloc.first_column,last_column:this.yylloc.last_column},yytext:this.yytext,match:this.match,matches:this.matches,matched:this.matched,yyleng:this.yyleng,offset:this.offset,_more:this._more,_input:this._input,yy:this.yy,conditionStack:this.conditionStack.slice(0),done:this.done},this.options.ranges&&(s.yylloc.range=this.yylloc.range.slice(0))),r=t[0].match(/(?:\r\n?|\n).*/g),r&&(this.yylineno+=r.length),this.yylloc={first_line:this.yylloc.last_line,last_line:this.yylineno+1,first_column:this.yylloc.last_column,last_column:r?r[r.length-1].length-r[r.length-1].match(/\r?\n?/)[0].length:this.yylloc.last_column+t[0].length},this.yytext+=t[0],this.match+=t[0],this.matches=t,this.yyleng=this.yytext.length,this.options.ranges&&(this.yylloc.range=[this.offset,this.offset+=this.yyleng]),this._more=!1,this._backtrack=!1,this._input=this._input.slice(t[0].length),this.matched+=t[0],i=this.performAction.call(this,this.yy,this,e,this.conditionStack[this.conditionStack.length-1]),this.done&&this._input&&(this.done=!1),i)return i;if(this._backtrack){for(var o in s)this[o]=s[o];return!1}return!1},next:function(){if(this.done)return this.EOF;this._input||(this.done=!0);var t,e,i,r;this._more||(this.yytext="",this.match="");for(var s=this._currentRules(),o=0;o<s.length;o++)if(i=this._input.match(this.rules[s[o]]),i&&(!e||i[0].length>e[0].length)){if(e=i,r=o,this.options.backtrack_lexer){if(t=this.test_match(i,s[o]),t!==!1)return t;if(this._backtrack){e=!1;continue}return!1}if(!this.options.flex)break}return e?(t=this.test_match(e,s[r]),t!==!1?t:!1):""===this._input?this.EOF:this.parseError("Lexical error on line "+(this.yylineno+1)+". Unrecognized text.\n"+this.showPosition(),{text:"",token:null,line:this.yylineno})},lex:function(){var t=this.next();return t?t:this.lex()},begin:function(t){this.conditionStack.push(t)},popState:function(){var t=this.conditionStack.length-1;return t>0?this.conditionStack.pop():this.conditionStack[0]},_currentRules:function(){return this.conditionStack.length&&this.conditionStack[this.conditionStack.length-1]?this.conditions[this.conditionStack[this.conditionStack.length-1]].rules:this.conditions.INITIAL.rules},topState:function(t){return t=this.conditionStack.length-1-Math.abs(t||0),t>=0?this.conditionStack[t]:"INITIAL"},pushState:function(t){this.begin(t)},stateStackSize:function(){return this.conditionStack.length},options:{},performAction:function(t,e,i,r){switch(i){case 0:break;case 1:return 78;case 2:return 78;case 3:return 77;case 4:return 77;case 5:break;case 6:break;case 7:return 7;case 8:return 12;case 9:return 14;case 10:return 17;case 11:return 15;case 12:return 91;case 13:return 93;case 14:return 19;case 15:return 23;case 16:return 21;case 17:return 75;case 18:return 76;case 19:return 74;case 20:return 80;case 21:return 94;case 22:return 82;case 23:return 83;case 24:return 26;case 25:return 27;case 26:return 16;case 27:return"#";case 28:return 34;case 29:return 35;case 30:return 79;case 31:return 64;case 32:return 65;case 33:return 66;case 34:return 8;case 35:return 10;case 36:return 58;case 37:return 57;case 38:return 53;case 39:return 54;case 40:return 55;case 41:return 50;case 42:return 51;case 43:return 47;case 44:return 45;case 45:return 48;case 46:return 46;case 47:return 41;case 48:return 43;case 49:return 42;case 50:return 39;case 51:return 37;case 52:return 32;case 53:return 86;case 54:return 5;case 55:return 20;case 56:return"INVALID"}},rules:[/^(?:\s+)/,/^(?:[0-9]+\.[0-9]*|[0-9]*\.[0-9]+\b)/,/^(?:[0-9]+)/,/^(?:"(\\["]|[^"])*")/,/^(?:'(\\[']|[^'])*')/,/^(?:\/\/.*)/,/^(?:\/\*(.|\n|\r)*?\*\/)/,/^(?:if\b)/,/^(?:else\b)/,/^(?:while\b)/,/^(?:do\b)/,/^(?:for\b)/,/^(?:function\b)/,/^(?:map\b)/,/^(?:use\b)/,/^(?:return\b)/,/^(?:delete\b)/,/^(?:true\b)/,/^(?:false\b)/,/^(?:null\b)/,/^(?:Infinity\b)/,/^(?:->)/,/^(?:<<)/,/^(?:>>)/,/^(?:\{)/,/^(?:\})/,/^(?:;)/,/^(?:#)/,/^(?:\?)/,/^(?::)/,/^(?:NaN\b)/,/^(?:\.)/,/^(?:\[)/,/^(?:\])/,/^(?:\()/,/^(?:\))/,/^(?:!)/,/^(?:\^)/,/^(?:\*)/,/^(?:\/)/,/^(?:%)/,/^(?:\+)/,/^(?:-)/,/^(?:<=)/,/^(?:<)/,/^(?:>=)/,/^(?:>)/,/^(?:==)/,/^(?:~=)/,/^(?:!=)/,/^(?:&&)/,/^(?:\|\|)/,/^(?:=)/,/^(?:,)/,/^(?:$)/,/^(?:[A-Za-z_\$][A-Za-z0-9_]*)/,/^(?:.)/],conditions:{INITIAL:{rules:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56],inclusive:!0}}};return t}();return ht.lexer=dt,t.prototype=ht,ht.Parser=t,new t}();return"undefined"!=typeof require&&"undefined"!=typeof exports&&(exports.parser=parser,exports.Parser=parser.Parser,exports.parse=function(){return parser.parse.apply(parser,arguments)},exports.main=function(t){t[1]||(console.log("Usage: "+t[0]+" FILE"),process.exit(1));var e=require("fs").readFileSync(require("path").normalize(t[1]),"utf8");return exports.parser.parse(e)},"undefined"!=typeof module&&require.main===module&&exports.main(process.argv.slice(1))),parser.yy.parseError=parser.parseError,JXG.JessieCode}),define("base/point",["jxg","options","math/math","math/geometry","math/numerics","base/coords","base/constants","base/element","parser/geonext","utils/type","base/transformation","base/coordselement"],function(t,e,i,r,s,o,n,a,h,l,c,d){"use strict";return t.Point=function(t,e,i){this.constructor(t,i,n.OBJECT_TYPE_POINT,n.OBJECT_CLASS_POINT),this.element=this.board.select(i.anchor),this.coordsConstructor(e),this.elType="point",this.id=this.board.setId(this,"P"),this.board.renderer.drawPoint(this),this.board.finalizeAdding(this),this.createLabel()},t.Point.prototype=new a,l.copyPrototypeMethods(t.Point,d,"coordsConstructor"),t.extend(t.Point.prototype,{
hasPoint:function(t,e){var i,r=this.coords.scrCoords;return i=parseFloat(this.visProp.size)+.5*parseFloat(this.visProp.strokewidth),i<this.board.options.precision.hasPoint&&(i=this.board.options.precision.hasPoint),Math.abs(r[1]-t)<i+2&&Math.abs(r[2]-e)<i+2},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.visProp.trace&&this.cloneToBackground(!0),this):this},updateTransform:function(){var t,e;if(0===this.transformations.length||null===this.baseElement)return this;for(t=this===this.baseElement?this.transformations[0].apply(this.baseElement,"self"):this.transformations[0].apply(this.baseElement),this.coords.setCoordinates(n.COORDS_BY_USER,t),e=1;e<this.transformations.length;e++)this.coords.setCoordinates(n.COORDS_BY_USER,this.transformations[e].apply(this));return this},updateRenderer:function(){return this.visProp.size>0&&this.updateRendererGeneric("updatePoint"),this},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},makeIntersection:function(t,e,i,s){var o;t=this.board.select(t),e=this.board.select(e),o=r.intersectionFunction(this.board,t,e,i,s,this.visProp.alwaysintersect),this.addConstraint([o]);try{t.addChild(this),e.addChild(this)}catch(a){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof t+"' and '"+typeof e+"'.")}this.type=n.OBJECT_TYPE_INTERSECTION,this.elType="intersection",this.parents=[t.id,e.id,i,s],this.generatePolynomial=function(){var i=t.generatePolynomial(this),r=e.generatePolynomial(this);return 0===i.length||0===r.length?[]:[i[0],r[0]]},this.prepareUpdate().update()},setStyle:function(t){var e=["cross","cross","cross","circle","circle","circle","circle","square","square","square","plus","plus","plus"],i=[2,3,4,1,2,3,4,2,3,4,2,3,4];return this.visProp.face=e[t],this.visProp.size=i[t],this.board.renderer.changePointStyle(this),this},normalizeFace:function(i){return t.deprecated("Point.normalizeFace()","JXG.normalizePointFace()"),e.normalizePointFace(i)},face:function(e){t.deprecated("Point.face()","Point.setAttribute()"),this.setAttribute({face:e})},size:function(e){t.deprecated("Point.size()","Point.setAttribute()"),this.setAttribute({size:e})},cloneToBackground:function(){var t={};return t.id=this.id+"T"+this.numTraces,this.numTraces+=1,t.coords=this.coords,t.visProp=l.deepCopy(this.visProp,this.visProp.traceattributes,!0),t.visProp.layer=this.board.options.layer.trace,t.elementClass=n.OBJECT_CLASS_POINT,t.board=this.board,l.clearVisPropOld(t),this.board.renderer.drawPoint(t),this.traces[t.id]=t.rendNode,this}}),t.createPoint=function(e,i,r){var s,o;if(o=l.copyAttributes(r,e.options,"point"),s=d.create(t.Point,e,i,o),!s)throw new Error("JSXGraph: Can't create point with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return s},t.createGlider=function(t,e,i){var r,s,o=l.copyAttributes(i,t.options,"glider");return s=1===e.length?[0,0]:e.slice(0,2),r=t.create("point",s,o),r.makeGlider(e[e.length-1]),r},t.createIntersectionPoint=function(t,e,i){var s,o,a,h,c,d,u=l.copyAttributes(i,t.options,"intersection");e.push(0,0),o=t.select(e[0]),a=t.select(e[1]),c=e[2]||0,d=e[3]||0,s=t.create("point",[0,0,0],u),h=r.intersectionFunction(t,o,a,c,d,s.visProp.alwaysintersect),s.addConstraint([h]);try{o.addChild(s),a.addChild(s)}catch(p){throw new Error("JSXGraph: Can't create 'intersection' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.")}return s.type=n.OBJECT_TYPE_INTERSECTION,s.elType="intersection",s.setParents([o.id,a.id]),s.intersectionNumbers=[c,d],s.getParents=function(){return this.parents.concat(this.intersectionNumbers)},s.generatePolynomial=function(){var t=o.generatePolynomial(s),e=a.generatePolynomial(s);return 0===t.length||0===e.length?[]:[t[0],e[0]]},s},t.createOtherIntersectionPoint=function(t,e,s){var o,a,h,c;if(3!==e.length||!l.isPoint(e[2])||e[0].elementClass!==n.OBJECT_CLASS_LINE&&e[0].elementClass!==n.OBJECT_CLASS_CIRCLE||e[1].elementClass!==n.OBJECT_CLASS_LINE&&e[1].elementClass!==n.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]");return a=t.select(e[0]),h=t.select(e[1]),c=t.select(e[2]),o=t.create("point",[function(){var t=r.meet(a.stdform,h.stdform,0,a.board);return Math.abs(c.X()-t.usrCoords[1])>i.eps||Math.abs(c.Y()-t.usrCoords[2])>i.eps||Math.abs(c.Z()-t.usrCoords[0])>i.eps?t:r.meet(a.stdform,h.stdform,1,a.board)}],s),o.type=n.OBJECT_TYPE_INTERSECTION,o.elType="otherintersection",o.setParents([a.id,h.id,c]),a.addChild(o),h.addChild(o),o.generatePolynomial=function(){var t=a.generatePolynomial(o),e=h.generatePolynomial(o);return 0===t.length||0===e.length?[]:[t[0],e[0]]},o},t.createPolePoint=function(e,i,r){var s,o,a,h,l,c,d;if(i.length>1&&(h=i[0].type===n.OBJECT_TYPE_CONIC||i[0].elementClass===n.OBJECT_CLASS_CIRCLE,l=i[1].type===n.OBJECT_TYPE_CONIC||i[1].elementClass===n.OBJECT_CLASS_CIRCLE,c=i[0].elementClass===n.OBJECT_CLASS_LINE,d=i[1].elementClass===n.OBJECT_CLASS_LINE),2!==i.length||!(h&&d||c&&l))throw new Error("JSXGraph: Can't create 'pole point' with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent type: [conic|circle,line], [line,conic|circle]");return d?(o=e.select(i[0]),a=e.select(i[1])):(o=e.select(i[1]),a=e.select(i[0])),s=e.create("point",[function(){var e=o.quadraticform,i=a.stdform.slice(0,3);return[t.Math.Numerics.det([i,e[1],e[2]]),t.Math.Numerics.det([e[0],i,e[2]]),t.Math.Numerics.det([e[0],e[1],i])]}],r),s.elType="polepoint",s.setParents([o.id,a.id]),o.addChild(s),a.addChild(s),s},t.registerElement("point",t.createPoint),t.registerElement("glider",t.createGlider),t.registerElement("intersection",t.createIntersectionPoint),t.registerElement("otherintersection",t.createOtherIntersectionPoint),t.registerElement("polepoint",t.createPolePoint),{Point:t.Point,createPoint:t.createPoint,createGlider:t.createGlider,createIntersection:t.createIntersectionPoint,createOtherIntersection:t.createOtherIntersectionPoint,createPolePoint:t.createPolePoint}}),define("base/line",["jxg","math/math","math/geometry","math/numerics","math/statistics","base/constants","base/coords","base/element","utils/type","base/point"],function(t,e,i,r,s,o,n,a,h,l){"use strict";return t.Line=function(e,i,r,s){this.constructor(e,s,o.OBJECT_TYPE_LINE,o.OBJECT_CLASS_LINE),this.point1=this.board.select(i),this.point2=this.board.select(r),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(),this.methodMap=t.deepCopy(this.methodMap,{point1:"point1",point2:"point2",getSlope:"getSlope",getRise:"getRise",getYIntersect:"getRise",getAngle:"getAngle",L:"L",length:"L",addTicks:"addTicks",removeTicks:"removeTicks",removeAllTicks:"removeAllTicks"})},t.Line.prototype=new a,t.extend(t.Line.prototype,{hasPoint:function(t,r){var s,a,h,l,c,d,u,p=[],f=[1,t,r];return p[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,p[1]=this.stdform[1]/this.board.unitX,p[2]=this.stdform[2]/-this.board.unitY,s=i.distPointLine(f,p),isNaN(s)||s>this.board.options.precision.hasPoint?!1:this.visProp.straightfirst&&this.visProp.straightlast?!0:(h=this.point1.coords,l=this.point2.coords,a=[0,p[1],p[2]],a=e.crossProduct(a,f),a=e.crossProduct(a,p),a[1]/=a[0],a[2]/=a[0],a[0]=1,a=new n(o.COORDS_BY_SCREEN,a.slice(1),this.board).usrCoords,c=h.distance(o.COORDS_BY_USER,l),h=h.usrCoords.slice(0),l=l.usrCoords.slice(0),c<e.eps?d=0:(c===Number.POSITIVE_INFINITY&&(c=1/e.eps,Math.abs(l[0])<e.eps?(c/=i.distance([0,0,0],l),l=[1,h[1]+l[1]*c,h[2]+l[2]*c]):(c/=i.distance([0,0,0],h),h=[1,l[1]+h[1]*c,l[2]+h[2]*c])),u=1,c=l[u]-h[u],Math.abs(c)<e.eps&&(u=2,c=l[u]-h[u]),d=(a[u]-h[u])/c),!this.visProp.straightfirst&&0>d?!1:!(!this.visProp.straightlast&&d>1))},update:function(){var t;return this.needsUpdate?(this.constrained&&(h.isFunction(this.funps)?(t=this.funps(),t&&t.length&&2===t.length&&(this.point1=t[0],this.point2=t[1])):(h.isFunction(this.funp1)&&(t=this.funp1(),h.isPoint(t)?this.point1=t:t&&t.length&&2===t.length&&this.point1.setPositionDirectly(o.COORDS_BY_USER,t)),h.isFunction(this.funp2)&&(t=this.funp2(),h.isPoint(t)?this.point2=t:t&&t.length&&2===t.length&&this.point2.setPositionDirectly(o.COORDS_BY_USER,t)))),this.updateSegmentFixedLength(),this.updateStdform(),this.visProp.trace&&this.cloneToBackground(!0),this):this},updateSegmentFixedLength:function(){var t,i,r,s,n,a,h,l;return this.hasFixedLength?(t=this.point1.Dist(this.point2),i=this.fixedLength(),r=this.fixedLengthOldCoords[0].distance(o.COORDS_BY_USER,this.point1.coords),s=this.fixedLengthOldCoords[1].distance(o.COORDS_BY_USER,this.point2.coords),(r>e.eps||s>e.eps||t!==i)&&(n=this.point1.isDraggable&&this.point1.type!==o.OBJECT_TYPE_GLIDER&&!this.point1.visProp.fixed,a=this.point2.isDraggable&&this.point2.type!==o.OBJECT_TYPE_GLIDER&&!this.point2.visProp.fixed,t>e.eps?r>s&&a||s>=r&&a&&!n?(this.point2.setPositionDirectly(o.COORDS_BY_USER,[this.point1.X()+(this.point2.X()-this.point1.X())*i/t,this.point1.Y()+(this.point2.Y()-this.point1.Y())*i/t]),this.point2.prepareUpdate().updateRenderer()):(s>=r&&n||r>s&&n&&!a)&&(this.point1.setPositionDirectly(o.COORDS_BY_USER,[this.point2.X()+(this.point1.X()-this.point2.X())*i/t,this.point2.Y()+(this.point1.Y()-this.point2.Y())*i/t]),this.point1.prepareUpdate().updateRenderer()):(h=Math.random()-.5,l=Math.random()-.5,t=Math.sqrt(h*h+l*l),a?(this.point2.setPositionDirectly(o.COORDS_BY_USER,[this.point1.X()+h*i/t,this.point1.Y()+l*i/t]),this.point2.prepareUpdate().updateRenderer()):n&&(this.point1.setPositionDirectly(o.COORDS_BY_USER,[this.point2.X()+h*i/t,this.point2.Y()+l*i/t]),this.point1.prepareUpdate().updateRenderer())),this.fixedLengthOldCoords[0].setCoordinates(o.COORDS_BY_USER,this.point1.coords.usrCoords),this.fixedLengthOldCoords[1].setCoordinates(o.COORDS_BY_USER,this.point2.coords.usrCoords)),this):this},updateStdform:function(){var t=e.crossProduct(this.point1.coords.usrCoords,this.point2.coords.usrCoords);this.stdform[0]=t[0],this.stdform[1]=t[1],this.stdform[2]=t[2],this.stdform[3]=0,this.normalize()},updateRenderer:function(){var t;return this.needsUpdate&&this.visProp.visible&&(t=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])&&e.innerProduct(this.stdform,this.stdform,3)>=e.eps*e.eps,this.isReal?(t!==this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.show(this.label)),this.board.renderer.updateLine(this)):t!==this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.hide(this.label)),this.needsUpdate=!1),this.hasLabel&&this.label.visProp.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label)),this},generatePolynomial:function(t){var e=this.point1.symbolic.x,i=this.point1.symbolic.y,r=this.point2.symbolic.x,s=this.point2.symbolic.y,o=t.symbolic.x,n=t.symbolic.y;return[["(",i,")*(",o,")-(",i,")*(",r,")+(",n,")*(",r,")-(",e,")*(",n,")+(",e,")*(",s,")-(",o,")*(",s,")"].join("")]},getRise:function(){return Math.abs(this.stdform[2])>=e.eps?-this.stdform[0]/this.stdform[2]:1/0},getSlope:function(){return Math.abs(this.stdform[2])>=e.eps?-this.stdform[1]/this.stdform[2]:1/0},getAngle:function(){return Math.atan2(-this.stdform[1],this.stdform[2])},setStraight:function(t,e){return this.visProp.straightfirst=t,this.visProp.straightlast=e,this.board.renderer.updateLine(this),this},getTextAnchor:function(){return new n(o.COORDS_BY_USER,[.5*(this.point2.X()+this.point1.X()),.5*(this.point2.Y()+this.point1.Y())],this.board)},setLabelRelativeCoords:function(t){h.exists(this.label)&&(this.label.relativeCoords=new n(o.COORDS_BY_SCREEN,[t[0],-t[1]],this.board))},getLabelAnchor:function(){var t,r,s=0,a=new n(o.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),l=new n(o.COORDS_BY_USER,this.point2.coords.usrCoords,this.board);if((this.visProp.straightfirst||this.visProp.straightlast)&&i.calcStraight(this,a,l,0),a=a.scrCoords,l=l.scrCoords,!h.exists(this.label))return new n(o.COORDS_BY_SCREEN,[NaN,NaN],this.board);switch(this.label.visProp.position){case"lft":case"llft":case"ulft":a[1]<=l[1]?(t=a[1],r=a[2]):(t=l[1],r=l[2]);break;case"rt":case"lrt":case"urt":a[1]>l[1]?(t=a[1],r=a[2]):(t=l[1],r=l[2]);break;default:t=.5*(a[1]+l[1]),r=.5*(a[2]+l[2])}return(this.visProp.straightfirst||this.visProp.straightlast)&&(h.exists(this.label)&&(s=this.label.visProp.fontsize),Math.abs(t)<e.eps?t=0:this.board.canvasWidth+e.eps>t&&t>this.board.canvasWidth-s-e.eps&&(t=this.board.canvasWidth-s),e.eps+s>r&&r>-e.eps?r=s:this.board.canvasHeight+e.eps>r&&r>this.board.canvasHeight-s-e.eps&&(r=this.board.canvasHeight)),new n(o.COORDS_BY_SCREEN,[t,r],this.board)},cloneToBackground:function(){var t,e,i,r={};return r.id=this.id+"T"+this.numTraces,r.elementClass=o.OBJECT_CLASS_LINE,this.numTraces++,r.point1=this.point1,r.point2=this.point2,r.stdform=this.stdform,r.board=this.board,r.visProp=h.deepCopy(this.visProp,this.visProp.traceattributes,!0),r.visProp.layer=this.board.options.layer.trace,h.clearVisPropOld(r),e=this.getSlope(),t=this.getRise(),r.getSlope=function(){return e},r.getRise=function(){return t},i=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawLine(r),this.board.renderer.enhancedRendering=i,this.traces[r.id]=r.rendNode,this},addTransform:function(t){var e,i=h.isArray(t)?t:[t],r=i.length;for(e=0;r>e;e++)this.point1.transformations.push(i[e]),this.point2.transformations.push(i[e]);return this},snapToGrid:function(e){var r,a,h,l,c,d,u,p,f;return this.visProp.snaptogrid?this.parents.length<3?(this.point1.handleSnapToGrid(!0,!0),this.point2.handleSnapToGrid(!0,!0)):t.exists(e)&&(p=this.visProp.snapsizex,f=this.visProp.snapsizey,r=new n(o.COORDS_BY_SCREEN,[e.Xprev,e.Yprev],this.board),d=r.usrCoords[1],u=r.usrCoords[2],0>=p&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(c=this.board.defaultAxes.x.defaultTicks,p=c.ticksDelta*(c.visProp.minorticks+1)),0>=f&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(c=this.board.defaultAxes.y.defaultTicks,f=c.ticksDelta*(c.visProp.minorticks+1)),p>0&&f>0&&(a=i.projectPointToLine({coords:r},this,this.board),h=s.subtract([1,Math.round(d/p)*p,Math.round(u/f)*f],a.usrCoords),l=this.board.create("transform",h.slice(1),{type:"translate"}),l.applyOnce([this.point1,this.point2]))):(this.point1.handleSnapToGrid(!1,!0),this.point2.handleSnapToGrid(!1,!0)),this},snapToPoints:function(){var t=this.visProp.snaptopoints;return this.parents.length<3&&(this.point1.handleSnapToPoints(t),this.point2.handleSnapToPoints(t)),this},X:function(t){var i,r=this.stdform[2];return i=Math.abs(this.point1.coords.usrCoords[0])>e.eps?this.point1.coords.usrCoords[1]:this.point2.coords.usrCoords[1],t=2*(t-.5),(1-Math.abs(t))*i-t*r},Y:function(t){var i,r=this.stdform[1];return i=Math.abs(this.point1.coords.usrCoords[0])>e.eps?this.point1.coords.usrCoords[2]:this.point2.coords.usrCoords[2],t=2*(t-.5),(1-Math.abs(t))*i+t*r},Z:function(t){var i=Math.abs(this.point1.coords.usrCoords[0])>e.eps?this.point1.coords.usrCoords[0]:this.point2.coords.usrCoords[0];return t=2*(t-.5),(1-Math.abs(t))*i},L:function(){return this.point1.Dist(this.point2)},minX:function(){return 0},maxX:function(){return 1},bounds:function(){var t=this.point1.coords.usrCoords,e=this.point2.coords.usrCoords;return[Math.min(t[1],e[1]),Math.max(t[2],e[2]),Math.max(t[1],e[1]),Math.min(t[2],e[2])]},addTicks:function(t){return""!==t.id&&h.exists(t.id)||(t.id=this.id+"_ticks_"+(this.ticks.length+1)),this.board.renderer.drawTicks(t),this.ticks.push(t),t.id},remove:function(){this.removeAllTicks(),a.prototype.remove.call(this)},removeAllTicks:function(){var t;for(t=this.ticks.length;t>0;t--)this.removeTicks(this.ticks[t-1]);this.ticks=[],this.board.update()},removeTicks:function(t){var e,i;for(h.exists(this.defaultTicks)&&this.defaultTicks===t&&(this.defaultTicks=null),e=this.ticks.length;e>0;e--)if(this.ticks[e-1]===t){if(this.board.removeObject(this.ticks[e-1]),this.ticks[e-1].ticks)for(i=0;i<this.ticks[e-1].ticks.length;i++)h.exists(this.ticks[e-1].labels[i])&&this.board.removeObject(this.ticks[e-1].labels[i]);delete this.ticks[e-1];break}},hideElement:function(){var t;for(a.prototype.hideElement.call(this),t=0;t<this.ticks.length;t++)this.ticks[t].hideElement()},showElement:function(){var t;for(a.prototype.showElement.call(this),t=0;t<this.ticks.length;t++)this.ticks[t].showElement()}}),t.createLine=function(e,i,r){var s,o,n,a,c,d,u,p=[],f=!1;if(2===i.length){if(h.isArray(i[0])&&i[0].length>1)d=h.copyAttributes(r,e.options,"line","point1"),n=e.create("point",i[0],d);else if(h.isString(i[0])||h.isPoint(i[0]))n=e.select(i[0]);else if(h.isFunction(i[0])&&h.isPoint(i[0]()))n=i[0](),f=!0;else{if(!(h.isFunction(i[0])&&i[0]().length&&i[0]().length>=2))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");d=h.copyAttributes(r,e.options,"line","point1"),n=l.createPoint(e,i[0](),d),f=!0}if(h.isArray(i[1])&&i[1].length>1)d=h.copyAttributes(r,e.options,"line","point2"),a=e.create("point",i[1],d);else if(h.isString(i[1])||h.isPoint(i[1]))a=e.select(i[1]);else if(h.isFunction(i[1])&&h.isPoint(i[1]()))a=i[1](),f=!0;else{if(!(h.isFunction(i[1])&&i[1]().length&&i[1]().length>=2))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");d=h.copyAttributes(r,e.options,"line","point2"),a=l.createPoint(e,i[1](),d),f=!0}d=h.copyAttributes(r,e.options,"line"),o=new t.Line(e,n,a,d),f?(o.constrained=!0,o.funp1=i[0],o.funp2=i[1]):o.isDraggable=!0,o.setParents([n.id,a.id])}else if(3===i.length){for(u=!0,c=0;3>c;c++)if(h.isNumber(i[c]))p[c]=h.createFunction(i[c]);else{if(!h.isFunction(i[c]))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");p[c]=i[c],u=!1}d=h.copyAttributes(r,e.options,"line","point1"),n=u?e.create("point",[p[2]()*p[2]()+p[1]()*p[1](),p[2]()-p[1]()*p[0]()+p[2](),-p[1]()-p[2]()*p[0]()-p[1]()],d):e.create("point",[function(){return.5*(p[2]()*p[2]()+p[1]()*p[1]())},function(){return.5*(p[2]()-p[1]()*p[0]()+p[2]())},function(){return.5*(-p[1]()-p[2]()*p[0]()-p[1]())}],d),d=h.copyAttributes(r,e.options,"line","point2"),a=u?e.create("point",[p[2]()*p[2]()+p[1]()*p[1](),-p[1]()*p[0]()+p[2](),-p[2]()*p[0]()-p[1]()],d):e.create("point",[function(){return p[2]()*p[2]()+p[1]()*p[1]()},function(){return-p[1]()*p[0]()+p[2]()},function(){return-p[2]()*p[0]()-p[1]()}],d),n.prepareUpdate().update(),a.prepareUpdate().update(),d=h.copyAttributes(r,e.options,"line"),o=new t.Line(e,n,a,d),o.isDraggable=u,o.setParents([n,a])}else if(1===i.length&&h.isFunction(i[0])&&2===i[0]().length&&h.isPoint(i[0]()[0])&&h.isPoint(i[0]()[1]))s=i[0](),d=h.copyAttributes(r,e.options,"line"),o=new t.Line(e,s[0],s[1],d),o.constrained=!0,o.funps=i[0],o.setParents(s);else{if(!(1===i.length&&h.isFunction(i[0])&&3===i[0]().length&&h.isNumber(i[0]()[0])&&h.isNumber(i[0]()[1])&&h.isNumber(i[0]()[2])))throw new Error("JSXGraph: Can't create line with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]], [a,b,c]");s=i[0],d=h.copyAttributes(r,e.options,"line","point1"),n=e.create("point",[function(){var t=s();return[.5*(t[2]*t[2]+t[1]*t[1]),.5*(t[2]-t[1]*t[0]+t[2]),.5*(-t[1]-t[2]*t[0]-t[1])]}],d),d=h.copyAttributes(r,e.options,"line","point2"),a=e.create("point",[function(){var t=s();return[t[2]*t[2]+t[1]*t[1],-t[1]*t[0]+t[2],-t[2]*t[0]-t[1]]}],d),d=h.copyAttributes(r,e.options,"line"),o=new t.Line(e,n,a,d),o.constrained=!0,o.funps=i[0],o.setParents([n,a])}return o},t.registerElement("line",t.createLine),t.createSegment=function(t,e,i){var r,s;if(i.straightFirst=!1,i.straightLast=!1,s=h.copyAttributes(i,t.options,"segment"),r=t.create("line",e.slice(0,2),s),3===e.length){if(r.hasFixedLength=!0,h.isNumber(e[2]))r.fixedLength=function(){return e[2]};else{if(!h.isFunction(e[2]))throw new Error("JSXGraph: Can't create segment with third parent type '"+typeof e[2]+"'.\nPossible third parent types: number or function");r.fixedLength=e[2]}r.getParents=function(){return this.parents.concat(this.fixedLength())},r.fixedLengthOldCoords=[],r.fixedLengthOldCoords[0]=new n(o.COORDS_BY_USER,r.point1.coords.usrCoords.slice(1,3),t),r.fixedLengthOldCoords[1]=new n(o.COORDS_BY_USER,r.point2.coords.usrCoords.slice(1,3),t)}return r.elType="segment",r},t.registerElement("segment",t.createSegment),t.createArrow=function(t,e,i){var r;return i.firstArrow=!1,i.lastArrow=!0,r=t.create("line",e,i).setStraight(!1,!1),r.type=o.OBJECT_TYPE_VECTOR,r.elType="arrow",r},t.registerElement("arrow",t.createArrow),t.createAxis=function(t,e,i){var r,s,n,a;if(!h.isArray(e[0])&&!h.isPoint(e[0])||!h.isArray(e[1])&&!h.isPoint(e[1]))throw new Error("JSXGraph: Can't create axis with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point], [[x1,y1],[x2,y2]]");r=h.copyAttributes(i,t.options,"axis"),s=t.create("line",e,r),s.type=o.OBJECT_TYPE_AXIS,s.isDraggable=!1,s.point1.isDraggable=!1,s.point2.isDraggable=!1;for(n in s.ancestors)s.ancestors.hasOwnProperty(n)&&(s.ancestors[n].type=o.OBJECT_TYPE_AXISPOINT);return r=h.copyAttributes(i,t.options,"axis","ticks"),a=h.exists(r.ticksdistance)?r.ticksdistance:h.isArray(r.ticks)?r.ticks:1,s.defaultTicks=t.create("ticks",[s,a],r),s.defaultTicks.dump=!1,s.elType="axis",s.subs={ticks:s.defaultTicks},s},t.registerElement("axis",t.createAxis),t.createTangent=function(t,i,s){var n,a,l,c,d,u,p;if(1===i.length)n=i[0],a=n.slideObject;else{if(2!==i.length)throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");if(h.isPoint(i[0]))n=i[0],a=i[1];else{if(!h.isPoint(i[1]))throw new Error("JSXGraph: Can't create tangent with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [glider], [point,line|curve|circle|conic]");a=i[0],n=i[1]}}if(a.elementClass===o.OBJECT_CLASS_LINE?(p=t.create("line",[a.point1,a.point2],s),p.glider=n):a.elementClass===o.OBJECT_CLASS_CURVE&&a.type!==o.OBJECT_TYPE_CONIC?"plot"!==a.visProp.curvetype?(l=a.X,c=a.Y,p=t.create("line",[function(){return-n.X()*r.D(c)(n.position)+n.Y()*r.D(l)(n.position)},function(){return r.D(c)(n.position)},function(){return-r.D(l)(n.position)}],s),n.addChild(p),p.glider=n):(p=t.create("line",[function(){var t=Math.floor(n.position);return t===a.numberPoints-1&&t--,0>t?1:a.Y(t)*a.X(t+1)-a.X(t)*a.Y(t+1)},function(){var t=Math.floor(n.position);return t===a.numberPoints-1&&t--,0>t?0:a.Y(t+1)-a.Y(t)},function(){var t=Math.floor(n.position);return t===a.numberPoints-1&&t--,0>t?0:a.X(t)-a.X(t+1)}],s),n.addChild(p),p.glider=n):a.type===o.OBJECT_TYPE_TURTLE?(p=t.create("line",[function(){var t=Math.floor(n.position);for(d=0;d<a.objects.length;d++)if(u=a.objects[d],u.type===o.OBJECT_TYPE_CURVE){if(t<u.numberPoints)break;t-=u.numberPoints}return t===u.numberPoints-1&&t--,0>t?1:u.Y(t)*u.X(t+1)-u.X(t)*u.Y(t+1)},function(){var t=Math.floor(n.position);for(d=0;d<a.objects.length;d++)if(u=a.objects[d],u.type===o.OBJECT_TYPE_CURVE){if(t<u.numberPoints)break;t-=u.numberPoints}return t===u.numberPoints-1&&t--,0>t?0:u.Y(t+1)-u.Y(t)},function(){var t=Math.floor(n.position);for(d=0;d<a.objects.length;d++)if(u=a.objects[d],u.type===o.OBJECT_TYPE_CURVE){if(t<u.numberPoints)break;t-=u.numberPoints}return t===u.numberPoints-1&&t--,0>t?0:u.X(t)-u.X(t+1)}],s),n.addChild(p),p.glider=n):(a.elementClass===o.OBJECT_CLASS_CIRCLE||a.type===o.OBJECT_TYPE_CONIC)&&(p=t.create("line",[function(){return e.matVecMult(a.quadraticform,n.coords.usrCoords)[0]},function(){return e.matVecMult(a.quadraticform,n.coords.usrCoords)[1]},function(){return e.matVecMult(a.quadraticform,n.coords.usrCoords)[2]}],s),n.addChild(p),p.glider=n),!h.exists(p))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");return p.elType="tangent",p.type=o.OBJECT_TYPE_TANGENT,p.setParents(i),p},t.createRadicalAxis=function(t,i,r){var s,n,a;if(2!==i.length||i[0].elementClass!==o.OBJECT_CLASS_CIRCLE||i[1].elementClass!==o.OBJECT_CLASS_CIRCLE)throw new Error("JSXGraph: Can't create 'radical axis' with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent type: [circle,circle]");return n=t.select(i[0]),a=t.select(i[1]),s=t.create("line",[function(){var t=n.stdform,i=a.stdform;return e.matVecMult(e.transpose([t.slice(0,3),i.slice(0,3)]),[i[3],-t[3]])}],r),s.elType="radicalaxis",s.setParents([n.id,a.id]),n.addChild(s),a.addChild(s),s},t.createPolarLine=function(t,e,i){var r,s,n,a,l,c,d;if(e.length>1&&(a=e[0].type===o.OBJECT_TYPE_CONIC||e[0].elementClass===o.OBJECT_CLASS_CIRCLE,l=e[1].type===o.OBJECT_TYPE_CONIC||e[1].elementClass===o.OBJECT_CLASS_CIRCLE,c=h.isPoint(e[0]),d=h.isPoint(e[1])),2!==e.length||!(a&&d||c&&l))throw new Error("JSXGraph: Can't create 'polar line' with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent type: [conic|circle,point], [point,conic|circle]");return d?(s=t.select(e[0]),n=t.select(e[1])):(s=t.select(e[1]),n=t.select(e[0])),r=t.create("tangent",[s,n],i),r.elType="polarline",r},t.registerElement("tangent",t.createTangent),t.registerElement("polar",t.createTangent),t.registerElement("radicalaxis",t.createRadicalAxis),t.registerElement("polarline",t.createPolarLine),{Line:t.Line,createLine:t.createLine,createTangent:t.createTangent,createPolar:t.createTangent,createSegment:t.createSegment,createAxis:t.createAxis,createArrow:t.createArrow,createRadicalAxis:t.createRadicalAxis,createPolarLine:t.createPolarLine}}),define("base/circle",["jxg","base/element","base/coords","base/constants","parser/geonext","utils/type"],function(t,e,i,r,s,o){"use strict";return t.Circle=function(t,e,i,s,n){this.constructor(t,n,r.OBJECT_TYPE_CIRCLE,r.OBJECT_CLASS_CIRCLE),this.method=e,this.midpoint=this.board.select(i),this.center=this.board.select(i),this.point2=null,this.radius=0,this.line=null,this.circle=null,"twoPoints"===e?(this.point2=t.select(s),this.radius=this.Radius()):"pointRadius"===e?(this.gxtterm=s,this.updateRadius=o.createFunction(s,this.board,null,!0),this.updateRadius()):"pointLine"===e?(this.line=t.select(s),this.radius=this.line.point1.coords.distance(r.COORDS_BY_USER,this.line.point2.coords)):"pointCircle"===e&&(this.circle=t.select(s),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),"pointRadius"===e?this.notifyParents(s):"pointLine"===e?this.line.addChild(this):"pointCircle"===e?this.circle.addChild(this):"twoPoints"===e&&this.point2.addChild(this),this.methodMap=o.deepCopy(this.methodMap,{setRadius:"setRadius",getRadius:"getRadius",Area:"Area",area:"Area",radius:"Radius",center:"center",line:"line",point2:"point2"})},t.Circle.prototype=new e,t.extend(t.Circle.prototype,{hasPoint:function(t,e){var s=this.board.options.precision.hasPoint/this.board.unitX,o=this.center.coords.usrCoords,n=new i(r.COORDS_BY_SCREEN,[t,e],this.board),a=this.Radius(),h=Math.sqrt((o[1]-n.usrCoords[1])*(o[1]-n.usrCoords[1])+(o[2]-n.usrCoords[2])*(o[2]-n.usrCoords[2]));return this.visProp.hasinnerpoints?a+s>h:Math.abs(h-a)<s},generatePolynomial:function(t){var e=this.center.symbolic.x,i=this.center.symbolic.y,r=t.symbolic.x,s=t.symbolic.y,o=this.generateRadiusSquared();return""===o?[]:["(("+r+")-("+e+"))^2 + (("+s+")-("+i+"))^2 - ("+o+")"]},generateRadiusSquared:function(){var t,e,i,r,s,n,a="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,i=this.point2.symbolic.x,r=this.point2.symbolic.y,a="(("+i+")-("+t+"))^2 + (("+r+")-("+e+"))^2"):"pointRadius"===this.method?o.isNumber(this.radius)&&(a=(this.radius*this.radius).toString()):"pointLine"===this.method?(i=this.line.point1.symbolic.x,r=this.line.point1.symbolic.y,s=this.line.point2.symbolic.x,n=this.line.point2.symbolic.y,a="(("+i+")-("+s+"))^2 + (("+r+")-("+n+"))^2"):"pointCircle"===this.method&&(a=this.circle.Radius()),a},update:function(){return this.needsUpdate&&(this.visProp.trace&&this.cloneToBackground(!0),"pointLine"===this.method?this.radius=this.line.point1.coords.distance(r.COORDS_BY_USER,this.line.point2.coords):"pointCircle"===this.method?this.radius=this.circle.Radius():"pointRadius"===this.method&&(this.radius=this.updateRadius()),this.updateStdform(),this.updateQuadraticform()),this},updateQuadraticform:function(){var t=this.center,e=t.X(),i=t.Y(),r=this.Radius();this.quadraticform=[[e*e+i*i-r*r,-e,-i],[-e,1,0],[-i,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],isFinite(this.stdform[4])||(this.stdform[0]=o.exists(this.point2)?-(this.stdform[1]*this.point2.coords.usrCoords[1]+this.stdform[2]*this.point2.coords.usrCoords[2]):0),this.normalize()},updateRenderer:function(){var t;this.needsUpdate&&this.visProp.visible&&(t=this.isReal,this.isReal=!isNaN(this.center.coords.usrCoords[1]+this.center.coords.usrCoords[2]+this.Radius())&&this.center.isReal,this.isReal?(t!==this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.show(this.label)),this.board.renderer.updateEllipse(this)):t!==this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.hide(this.label)),this.needsUpdate=!1),this.hasLabel&&this.label.visProp.visible&&this.isReal&&(this.label.update(),this.board.renderer.updateText(this.label))},notifyParents:function(t){o.isString(t)&&s.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=o.createFunction(t,this.board,null,!0),this.board.update(),this},Radius:function(t){return o.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?o.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||o.cmpArrays(this.center.coords.usrCoords,[0,0,0])?NaN:this.center.Dist(this.point2):"pointLine"===this.method||"pointCircle"===this.method?this.radius:"pointRadius"===this.method?this.updateRadius():NaN},getRadius:function(){return t.deprecated("Circle.getRadius()","Circle.Radius()"),this.Radius()},getTextAnchor:function(){return this.center.coords},getLabelAnchor:function(){var t,e,s=this.Radius(),o=this.center.coords.usrCoords;switch(this.visProp.label.position){case"lft":t=o[1]-s,e=o[2];break;case"llft":t=o[1]-Math.sqrt(.5)*s,e=o[2]-Math.sqrt(.5)*s;break;case"rt":t=o[1]+s,e=o[2];break;case"lrt":t=o[1]+Math.sqrt(.5)*s,e=o[2]-Math.sqrt(.5)*s;break;case"urt":t=o[1]+Math.sqrt(.5)*s,e=o[2]+Math.sqrt(.5)*s;break;case"top":t=o[1],e=o[2]+s;break;case"bot":t=o[1],e=o[2]-s;break;default:t=o[1]-Math.sqrt(.5)*s,e=o[2]+Math.sqrt(.5)*s}return new i(r.COORDS_BY_USER,[t,e],this.board)},cloneToBackground:function(){var t,e=this.Radius(),i={id:this.id+"T"+this.numTraces,elementClass:r.OBJECT_CLASS_CIRCLE,center:{coords:this.center.coords},Radius:function(){return e},getRadius:function(){return e},board:this.board,visProp:o.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return i.visProp.layer=this.board.options.layer.trace,this.numTraces++,o.clearVisPropOld(i),t=this.board.renderer.enhancedRendering,
this.board.renderer.enhancedRendering=!0,this.board.renderer.drawEllipse(i),this.board.renderer.enhancedRendering=t,this.traces[i.id]=i.rendNode,this},addTransform:function(t){var e,i=o.isArray(t)?t:[t],r=i.length;for(e=0;r>e;e++)this.center.transformations.push(i[e]),"twoPoints"===this.method&&this.point2.transformations.push(i[e]);return this},snapToGrid:function(){var t=this.visProp.snaptogrid;return this.center.snapToGrid(t),"twoPoints"===this.method&&this.point2.snapToGrid(t),this},snapToPoints:function(){var t=this.visProp.snaptopoints;return this.center.handleSnapToPoints(t),"twoPoints"===this.method&&this.point2.handleSnapToPoints(t),this},X:function(t){return this.Radius()*Math.cos(2*t*Math.PI)+this.center.coords.usrCoords[1]},Y:function(t){return this.Radius()*Math.sin(2*t*Math.PI)+this.center.coords.usrCoords[2]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){return 1},Area:function(){var t=this.Radius();return t*t*Math.PI},bounds:function(){var t=this.center.coords.usrCoords,e=this.Radius();return[t[1]-e,t[2]+e,t[1]+e,t[2]-e]},getParents:function(){return 1===this.parents.length?this.parents.concat(this.radius):this.parents}}),t.createCircle=function(e,i,s){var n,a,h,l,c=!0;for(a=[],h=0;h<i.length;h++)if(o.isPointType(e,i[h])){if(a=a.concat(o.providePoints(e,[i[h]],s,"circle",["center"])),a[a.length-1]===!1)throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else a.push(i[h]);if(l=o.copyAttributes(s,e.options,"circle"),2===a.length&&o.isPoint(a[0])&&o.isPoint(a[1]))n=new t.Circle(e,"twoPoints",a[0],a[1],l);else if((o.isNumber(a[0])||o.isFunction(a[0])||o.isString(a[0]))&&o.isPoint(a[1]))n=new t.Circle(e,"pointRadius",a[1],a[0],l);else if((o.isNumber(a[1])||o.isFunction(a[1])||o.isString(a[1]))&&o.isPoint(a[0]))n=new t.Circle(e,"pointRadius",a[0],a[1],l);else if(a[0].elementClass===r.OBJECT_CLASS_CIRCLE&&o.isPoint(a[1]))n=new t.Circle(e,"pointCircle",a[1],a[0],l);else if(a[1].elementClass===r.OBJECT_CLASS_CIRCLE&&o.isPoint(a[0]))n=new t.Circle(e,"pointCircle",a[0],a[1],l);else if(a[0].elementClass===r.OBJECT_CLASS_LINE&&o.isPoint(a[1]))n=new t.Circle(e,"pointLine",a[1],a[0],l);else if(a[1].elementClass===r.OBJECT_CLASS_LINE&&o.isPoint(a[0]))n=new t.Circle(e,"pointLine",a[0],a[1],l);else{if(!(3===i.length&&o.isPoint(a[0])&&o.isPoint(a[1])&&o.isPoint(a[2])))throw new Error("JSXGraph: Can't create circle with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point], [point,number], [point,function], [point,circle], [point,point,point]");if(!t.elements.circumcircle)throw new Error("JSXGraph: Can't create circle with three points. Please include the circumcircle element (element/composition).");n=t.elements.circumcircle(e,a,l)}return n.isDraggable=c,n.setParents(a),n.elType="circle",n},t.registerElement("circle",t.createCircle),{Circle:t.Circle,createCircle:t.createCircle}}),define("base/composition",["jxg","utils/type"],function(t,e){"use strict";return t.Composition=function(t){var i,r=this,s=["setAttribute","prepareUpdate","updateRenderer","update","highlight","noHighlight"],o=function(t){return function(){var i;for(i in r.elements)r.elements.hasOwnProperty(i)&&e.exists(r.elements[i][t])&&r.elements[i][t].apply(r.elements[i],arguments);return r}};for(i=0;i<s.length;i++)this[s[i]]=o(s[i]);this.elements={},this.objects=this.elements,this.elementsByName={},this.objectsList=[],this.groups={},this.methodMap={setAttribute:"setAttribute",setProperty:"setAttribute",add:"add",remove:"remove",select:"select"};for(i in t)t.hasOwnProperty(i)&&this.add(i,t[i]);this.dump=!0,this.subs={}},t.extend(t.Composition.prototype,{add:function(t,i){return!e.exists(this[t])&&e.exists(i)?(e.exists(i.id)?this.elements[i.id]=i:this.elements[t]=i,e.exists(i.name)&&(this.elementsByName[i.name]=i),i.on("attribute:name",this.nameListener,this),this.objectsList.push(i),this[t]=i,this.methodMap[t]=i,!0):!1},remove:function(t){var e,i=!1;for(e in this.elements)if(this.elements.hasOwnProperty(e)&&this.elements[e].id===this[t].id){i=!0;break}return i&&(delete this.elements[this[t].id],delete this[t]),i},nameListener:function(t,e,i){delete this.elementsByName[t],this.elementsByName[e]=i},select:function(i){return e.exists(t.Board)?t.Board.prototype.select.call(this,i):new t.Composition},getParents:function(){return this.parents},getType:function(){return this.elType},getAttributes:function(){var t,e={};for(t in this.subs)this.subs.hasOwnProperty(t)&&(e[t]=this.subs[t].visProp);return this.attr}}),t.Composition}),define("base/curve",["jxg","base/constants","base/coords","base/element","math/math","math/statistics","math/numerics","math/geometry","parser/geonext","utils/type","base/transformation","math/qdt"],function(t,e,i,r,s,o,n,a,h,l,c,d){"use strict";return t.Curve=function(t,i,r){this.constructor(t,r,e.OBJECT_TYPE_CURVE,e.OBJECT_CLASS_CURVE),this.points=[],this.numberPoints=this.visProp.numberpointshigh,this.bezierDegree=1,this.dataX=null,this.dataY=null,this.qdt=null,l.exists(i[0])?this.varname=i[0]:this.varname="x",this.xterm=i[1],this.yterm=i[2],this.generateTerm(this.varname,this.xterm,this.yterm,i[3],i[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(),l.isString(this.xterm)&&this.notifyParents(this.xterm),l.isString(this.yterm)&&this.notifyParents(this.yterm),this.methodMap=l.deepCopy(this.methodMap,{generateTerm:"generateTerm",setTerm:"generateTerm"})},t.Curve.prototype=new r,t.extend(t.Curve.prototype,{minX:function(){var t;return"polar"===this.visProp.curvetype?0:(t=new i(e.COORDS_BY_SCREEN,[0,0],this.board,!1),t.usrCoords[1])},maxX:function(){var t;return"polar"===this.visProp.curvetype?2*Math.PI:(t=new i(e.COORDS_BY_SCREEN,[this.board.canvasWidth,0],this.board,!1),t.usrCoords[1])},X:function(t){return NaN},Y:function(t){return NaN},Z:function(t){return 1},hasPoint:function(t,r,o){var n,h,c,d,u,p,f,m,g,b,v,y,C=this.visProp.numberpointslow,P=(this.maxX()-this.minX())/C,_=this.board.options.precision.hasPoint/this.board.unitX,S=1/0,E=!0;if(h=new i(e.COORDS_BY_SCREEN,[t,r],this.board,!1),t=h.usrCoords[1],r=h.usrCoords[2],this.transformations.length>0&&(this.updateTransformMatrix(),d=s.inverse(this.transformMat),u=s.matVecMult(d,[1,t,r]),t=u[1],r=u[2]),"parameter"===this.visProp.curvetype||"polar"===this.visProp.curvetype)for(_*=_,p=0,n=this.minX();C>p;p++){if(m=this.X(n,E),g=this.Y(n,E),S=(t-m)*(t-m)+(r-g)*(r-g),_>S)return!0;n+=P}else if("plot"===this.visProp.curvetype||"functiongraph"===this.visProp.curvetype){for((!l.exists(o)||0>o)&&(o=0),l.exists(this.qdt)&&this.visProp.useqdt&&3!==this.bezierDegree?(y=this.qdt.query(new i(e.COORDS_BY_USER,[t,r],this.board)),v=y.points,c=v.length):(v=this.points,c=this.numberPoints-1),p=o;c>p;p++)for(b=[],3===this.bezierDegree?b.push(a.projectCoordsToBeziersegment([1,t,r],this,p)):y?(v[p].prev&&b.push(a.projectCoordsToSegment([1,t,r],v[p].prev.usrCoords,v[p].usrCoords)),v[p].next&&v[p+1]!==v[p].next&&b.push(a.projectCoordsToSegment([1,t,r],v[p].usrCoords,v[p].next.usrCoords))):b.push(a.projectCoordsToSegment([1,t,r],v[p].usrCoords,v[p+1].usrCoords)),f=0;f<b.length;f++)if(b[f][1]>=0&&b[f][1]<=1&&a.distance([1,t,r],b[f][0],3)<=_)return!0;return!1}return _>S},allocatePoints:function(){var t,r;if(r=this.numberPoints,this.points.length<this.numberPoints)for(t=this.points.length;r>t;t++)this.points[t]=new i(e.COORDS_BY_USER,[0,0],this.board,!1)},update:function(){return this.needsUpdate&&(this.visProp.trace&&this.cloneToBackground(!0),this.updateCurve()),this},updateRenderer:function(){var t;return this.needsUpdate&&this.visProp.visible&&(t=this.isReal,this.checkReal(),(this.isReal||t)&&this.board.renderer.updateCurve(this),this.isReal?t!==this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.show(this.label)):t!==this.isReal&&(this.board.renderer.hide(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.hide(this.label)),this.hasLabel&&l.exists(this.label.visProp)&&this.label.visProp.visible&&(this.label.update(),this.board.renderer.updateText(this.label))),this.needsUpdate=!1,this},updateDataArray:function(){},updateCurve:function(){var t,i,r,s,o,a,h=!1;if(this.updateTransformMatrix(),this.updateDataArray(),i=this.minX(),r=this.maxX(),l.exists(this.dataX))for(this.numberPoints=this.dataX.length,t=this.numberPoints,this.allocatePoints(),a=0;t>a;a++)s=a,l.exists(this.dataY)?(o=a,this.points[a].setCoordinates(e.COORDS_BY_USER,[this.dataX[a],this.dataY[a]],!1)):(o=this.X(s),this.points[a].setCoordinates(e.COORDS_BY_USER,[this.dataX[a],this.Y(o,h)],!1)),this.updateTransform(this.points[a]),h=!0;else{if(this.visProp.doadvancedplot?this.updateParametricCurve(i,r,t):this.visProp.doadvancedplotold?this.updateParametricCurveOld(i,r,t):(this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.numberPoints=this.visProp.numberpointshigh:this.numberPoints=this.visProp.numberpointslow,this.allocatePoints(),this.updateParametricCurveNaive(i,r,this.numberPoints)),t=this.numberPoints,this.visProp.useqdt&&this.board.updateQuality===this.board.BOARD_QUALITY_HIGH)for(this.qdt=new d(this.board.getBoundingBox()),a=0;a<this.points.length;a++)this.qdt.insert(this.points[a]),a>0&&(this.points[a].prev=this.points[a-1]),t-1>a&&(this.points[a].next=this.points[a+1]);for(a=0;t>a;a++)this.updateTransform(this.points[a])}return"plot"!==this.visProp.curvetype&&this.visProp.rdpsmoothing&&(this.points=n.RamerDouglasPeucker(this.points,.2),this.numberPoints=this.points.length),this},updateTransformMatrix:function(){var t,e,i=this.transformations.length;for(this.transformMat=[[1,0,0],[0,1,0],[0,0,1]],e=0;i>e;e++)t=this.transformations[e],t.update(),this.transformMat=s.matMatMult(t.matrix,this.transformMat);return this},checkReal:function(){var t,e,i=!1,r=this.numberPoints;for(t=0;r>t;t++)if(e=this.points[t].usrCoords,!isNaN(e[1])&&!isNaN(e[2])&&Math.abs(e[0])>s.eps){i=!0;break}this.isReal=i},updateParametricCurveNaive:function(t,i,r){var s,o,n=!1,a=(i-t)/r;for(s=0;r>s;s++)o=t+s*a,this.points[s].setCoordinates(e.COORDS_BY_USER,[this.X(o,n),this.Y(o,n)],!1),n=!0;return this},updateParametricCurveOld:function(r,o){var n,a,h,l,c,d,u,p,f,m,g,b,v,y=!1,C=new i(e.COORDS_BY_USER,[0,0],this.board,!1),P=[],_=[],S=[],E=[],x=!1,w=0,O=function(t,e,i){var r,o,n=i[1]-t[1],a=i[2]-t[2],h=e[0]-t[1],l=e[1]-t[2],c=h*h+l*l;return c>=s.eps&&(r=(n*h+a*l)/c,r>0&&(1>=r?(n-=r*h,a-=r*l):(n-=h,a-=l))),o=n*n+a*a,Math.sqrt(o)};for(t.deprecated("Curve.updateParametricCurveOld()"),this.board.updateQuality===this.board.BOARD_QUALITY_LOW?(g=15,b=10,v=10):(g=21,b=.7,v=.7),E[0]=o-r,n=1;g>n;n++)E[n]=.5*E[n-1];n=1,P[0]=1,_[0]=0,a=r,C.setCoordinates(e.COORDS_BY_USER,[this.X(a,y),this.Y(a,y)],!1),y=!0,u=C.scrCoords[1],p=C.scrCoords[2],h=a,a=o,C.setCoordinates(e.COORDS_BY_USER,[this.X(a,y),this.Y(a,y)],!1),c=C.scrCoords[1],d=C.scrCoords[2],S[0]=[c,d],f=1,m=0,this.points=[],this.points[w++]=new i(e.COORDS_BY_SCREEN,[u,p],this.board,!1);do{for(x=this.isDistOK(c-u,d-p,b,v)||this.isSegmentOutside(u,p,c,d);g>m&&(!x||6>m)&&(7>=m||this.isSegmentDefined(u,p,c,d));)P[f]=n,_[f]=m,S[f]=[c,d],f+=1,n=2*n-1,m++,a=r+n*E[m],C.setCoordinates(e.COORDS_BY_USER,[this.X(a,y),this.Y(a,y)],!1,!0),c=C.scrCoords[1],d=C.scrCoords[2],x=this.isDistOK(c-u,d-p,b,v)||this.isSegmentOutside(u,p,c,d);w>1&&(l=O(this.points[w-2].scrCoords,[c,d],this.points[w-1].scrCoords),.015>l&&(w-=1)),this.points[w]=new i(e.COORDS_BY_SCREEN,[c,d],this.board,!1),w+=1,u=c,p=d,h=a,f-=1,c=S[f][0],d=S[f][1],m=_[f]+1,n=2*P[f]}while(f>0&&5e5>w);return this.numberPoints=this.points.length,this},isSegmentOutside:function(t,e,i,r){return 0>e&&0>r||e>this.board.canvasHeight&&r>this.board.canvasHeight||0>t&&0>i||t>this.board.canvasWidth&&i>this.board.canvasWidth},isDistOK:function(t,e,i,r){return Math.abs(t)<i&&Math.abs(e)<r&&!isNaN(t+e)},isSegmentDefined:function(t,e,i,r){return!(isNaN(t+e)&&isNaN(i+r))},_insertPoint:function(t){var e=!isNaN(this._lastCrds[1]+this._lastCrds[2]),i=!isNaN(t.scrCoords[1]+t.scrCoords[2]),r=this.board.canvasWidth,s=this.board.canvasHeight,o=500;i=i&&t.scrCoords[1]>-o&&t.scrCoords[2]>-o&&t.scrCoords[1]<r+o&&t.scrCoords[2]<s+o,(!i&&e||i&&(!e||Math.abs(t.scrCoords[1]-this._lastCrds[1])>.7||Math.abs(t.scrCoords[2]-this._lastCrds[2])>.7))&&(this.points.push(t),this._lastCrds=t.copy("scrCoords"))},_intersectWithBorder:function(t,e,i){var r,o,n,a;return 0>=i?(r=[-e[0],1,0],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):a=1/0,a<e[3]?(r=[-e[3],0,1],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):n=1/0):a>e[1]&&(r=[-e[1],0,1],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):n=1/0)):(r=[-e[2],1,0],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):a=1/0,a<e[3]?(r=[-e[3],0,1],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):n=1/0):a>e[1]&&(r=[-e[1],0,1],o=s.crossProduct(r,t),0!==o[0]?(n=o[1]/o[0],a=o[2]/o[0]):n=1/0)),[1,n,a]},_borderCase:function(t,r,s,o,n,a,h){var l,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E=null,x=30,w=!1;if(1>=h){c=new i(e.COORDS_BY_USER,[0,0],this.board,!1),u=0;do{if(isNaN(t[1]+t[2])&&!isNaN(s[1]+s[2]))p=o,f=a,m=n;else if(isNaN(r[1]+r[2])&&!isNaN(s[1]+s[2]))p=n,f=a,m=o;else if(isNaN(s[1]+s[2])&&!isNaN(r[1]+r[2]))p=a,f=n,m=n+(n-a);else{if(!isNaN(s[1]+s[2])||isNaN(t[1]+t[2]))return!1;p=a,f=o,m=o-(a-o)}l=.5*(p+f),c.setCoordinates(e.COORDS_BY_USER,[this.X(l,!0),this.Y(l,!0)],!1),d=c.usrCoords,w=isNaN(d[1]+d[2]),w?p=l:(m=f,f=l),++u}while(w&&x>u);if(x>u&&(E=d.slice(),s=d.slice(),f=l),b=this.X(f,!0),y=this.X(m,!0),P=(b-y)/(f-m),v=this.Y(f,!0),C=this.Y(m,!0),_=(v-C)/(f-m),g=this.board.getBoundingBox(),Math.sqrt(P*P+_*_)>500&&(S=[P*v-_*b,_,-P],E=this._intersectWithBorder(S,g,b-y)),null!==E)return this._insertPoint(new i(e.COORDS_BY_USER,E,this.board,!1)),!0}return!1},_triangleDists:function(t,e,i){var r,s,o,n,h;return r=[t[0]*e[0],.5*(t[1]+e[1]),.5*(t[2]+e[2])],s=a.distance(t,e,3),o=a.distance(t,i,3),n=a.distance(i,e,3),h=a.distance(i,r,3),[s,o,n,h]},_isUndefined:function(t,r,s,o){var n,a,h;if(!isNaN(t[1]+t[2])||!isNaN(s[1]+s[2]))return!1;for(h=new i(e.COORDS_BY_USER,[0,0],this.board,!1),a=0;20>a;++a)if(n=r+Math.random()*(o-r),h.setCoordinates(e.COORDS_BY_USER,[this.X(n,!0),this.Y(n,!0)],!1),!isNaN(h.scrCoords[0]+h.scrCoords[1]+h.scrCoords[2]))return!1;return!0},_isOutside:function(t,e,i,r){var s=500,o=this.board.canvasWidth,n=this.board.canvasHeight;return!!(t[1]<-s&&i[1]<-s||t[2]<-s&&i[2]<-s||t[1]>o+s&&i[1]>o+s||t[2]>n+s&&i[2]>n+s)},_plotRecursive:function(t,r,s,o,n,a){var h,l,c,d,u,p,f=0,m=.5,g=new i(e.COORDS_BY_USER,[0,0],this.board,!1);if(!(this.numberPoints>65536))return n<this.nanLevel&&this._isUndefined(t,r,s,o)?this:n<this.nanLevel&&this._isOutside(t,r,s,o)?this:(h=.5*(r+o),g.setCoordinates(e.COORDS_BY_USER,[this.X(h,!0),this.Y(h,!0)],!1),l=g.scrCoords,this._borderCase(t,s,l,r,o,h,n)?this:(c=this._triangleDists(t,s,l),d=n<this.smoothLevel&&c[3]<a,u=n<this.jumpLevel&&(c[2]>.99*c[0]||c[1]>.99*c[0]||c[0]===1/0||c[1]===1/0||c[2]===1/0),p=n<this.smoothLevel+2&&c[0]<m*(c[1]+c[2]),p&&(f=0,d=!1),--n,u?this._insertPoint(new i(e.COORDS_BY_SCREEN,[NaN,NaN],this.board,!1)):f>=n||d?this._insertPoint(g):(this._plotRecursive(t,r,l,h,n,a),this._insertPoint(g),this._plotRecursive(l,h,s,o,n,a)),this))},updateParametricCurve:function(t,r){var s,o,n,a,h,l,c=!1,d=new i(e.COORDS_BY_USER,[0,0],this.board,!1),u=new i(e.COORDS_BY_USER,[0,0],this.board,!1);return this.board.updateQuality===this.board.BOARD_QUALITY_LOW?(h=13,l=1.2,l=2,this.smoothLevel=h-7,this.jumpLevel=5):(h=17,l=.9,l=2,this.smoothLevel=h-7,this.jumpLevel=3),this.nanLevel=h-4,this.points=[],s=t,d.setCoordinates(e.COORDS_BY_USER,[this.X(s,c),this.Y(s,c)],!1),n=d.copy("scrCoords"),c=!0,o=r,u.setCoordinates(e.COORDS_BY_USER,[this.X(o,c),this.Y(o,c)],!1),a=u.copy("scrCoords"),this.points.push(d),this._lastCrds=d.copy("scrCoords"),this._plotRecursive(n,s,a,o,h,l),this.points.push(u),this.numberPoints=this.points.length,this},updateTransform:function(t){var i,r=this.transformations.length;return r>0&&(i=s.matVecMult(this.transformMat,t.usrCoords),t.setCoordinates(e.COORDS_BY_USER,[i[1],i[2]],!1,!0)),t},addTransform:function(t){var e,i=l.isArray(t)?t:[t],r=i.length;for(e=0;r>e;e++)this.transformations.push(i[e]);return this},interpolationFunctionFromArray:function(t){var e="data"+t;return function(t,i){var r,s,o,n,a=this[e],h=a.length,c=[];if(isNaN(t))return NaN;if(0>t)return l.isFunction(a[0])?a[0]():a[0];if(3===this.bezierDegree){if(h/=3,t>=h)return l.isFunction(a[a.length-1])?a[a.length-1]():a[a.length-1];for(r=3*Math.floor(t),o=t%1,n=1-o,s=0;4>s;s++)l.isFunction(a[r+s])?c[s]=a[r+s]():c[s]=a[r+s];return n*n*(n*c[0]+3*o*c[1])+(3*n*c[2]+o*c[3])*o*o}if(r=t>h-2?h-2:parseInt(Math.floor(t),10),r===t)return l.isFunction(a[r])?a[r]():a[r];for(s=0;2>s;s++)l.isFunction(a[r+s])?c[s]=a[r+s]():c[s]=a[r+s];return c[0]+(c[1]-c[0])*(t-r)}},generateTerm:function(t,e,i,r,s){var o,n;l.isArray(e)?(this.dataX=e,this.numberPoints=this.dataX.length,this.X=this.interpolationFunctionFromArray("X"),this.visProp.curvetype="plot",this.isDraggable=!0):(this.X=l.createFunction(e,this.board,t),l.isString(e)?this.visProp.curvetype="functiongraph":(l.isFunction(e)||l.isNumber(e))&&(this.visProp.curvetype="parameter"),this.isDraggable=!0),l.isArray(i)?(this.dataY=i,this.Y=this.interpolationFunctionFromArray("Y")):this.Y=l.createFunction(i,this.board,t),l.isFunction(e)&&l.isArray(i)&&(o=l.createFunction(i[0],this.board,""),n=l.createFunction(i[1],this.board,""),this.X=function(t){return e(t)*Math.cos(t)+o()},this.Y=function(t){return e(t)*Math.sin(t)+n()},this.visProp.curvetype="polar"),l.exists(r)&&(this.minX=l.createFunction(r,this.board,"")),l.exists(s)&&(this.maxX=l.createFunction(s,this.board,""))},notifyParents:function(t){var e,i,r=!1;for(e in{xterm:1,yterm:1})if(this.hasOwnProperty(e)&&this[e].origin){r=!0;for(i in this[e].origin.deps)this[e].origin.deps.hasOwnProperty(i)&&this[e].origin.deps[i].addChild(this)}r||h.findDependencies(this,t,this.board)},getLabelAnchor:function(){var t,r,s,o=.05*this.board.canvasWidth,n=.05*this.board.canvasHeight,h=.95*this.board.canvasWidth,l=.95*this.board.canvasHeight;switch(this.visProp.label.position){case"ulft":r=o,s=n;break;case"llft":r=o,s=l;break;case"rt":r=h,s=.5*l;break;case"lrt":r=h,s=l;break;case"urt":r=h,s=n;break;case"top":r=.5*h,s=n;break;case"bot":r=.5*h,s=l;break;default:r=o,s=.5*l}return t=new i(e.COORDS_BY_SCREEN,[r,s],this.board,!1),a.projectCoordsToCurve(t.usrCoords[1],t.usrCoords[2],0,this,this.board)[0]},cloneToBackground:function(){var t,i={id:this.id+"T"+this.numTraces,elementClass:e.OBJECT_CLASS_CURVE,points:this.points.slice(0),bezierDegree:this.bezierDegree,numberPoints:this.numberPoints,board:this.board,visProp:l.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return i.visProp.layer=this.board.options.layer.trace,i.visProp.curvetype=this.visProp.curvetype,this.numTraces++,l.clearVisPropOld(i),t=this.board.renderer.enhancedRendering,this.board.renderer.enhancedRendering=!0,this.board.renderer.drawCurve(i),this.board.renderer.enhancedRendering=t,this.traces[i.id]=i.rendNode,this},bounds:function(){var t,e=1/0,i=-(1/0),r=1/0,s=-(1/0),o=this.points.length;if(3===this.bezierDegree){for(t=0;o>t;t++)this.points[t].X=l.bind(function(){return this.usrCoords[1]},this.points[t]),this.points[t].Y=l.bind(function(){return this.usrCoords[2]},this.points[t]);var a=n.bezier(this.points),h=a[3]();return e=n.fminbr(function(t){return a[0](t)},[0,h]),i=n.fminbr(function(t){return-a[0](t)},[0,h]),r=n.fminbr(function(t){return a[1](t)},[0,h]),s=n.fminbr(function(t){return-a[1](t)},[0,h]),e=a[0](e),i=a[0](i),r=a[1](r),s=a[1](s),[e,s,i,r]}for(t=0;o>t;t++)e>this.points[t].usrCoords[1]&&(e=this.points[t].usrCoords[1]),i<this.points[t].usrCoords[1]&&(i=this.points[t].usrCoords[1]),r>this.points[t].usrCoords[2]&&(r=this.points[t].usrCoords[2]),s<this.points[t].usrCoords[2]&&(s=this.points[t].usrCoords[2]);return[e,s,i,r]},getParents:function(){var t=[this.xterm,this.yterm,this.minX(),this.maxX()];return 0!==this.parents.length&&(t=this.parents),t}}),t.createCurve=function(e,i,r){var s=l.copyAttributes(r,e.options,"curve");return new t.Curve(e,["x"].concat(i),s)},t.registerElement("curve",t.createCurve),t.createFunctiongraph=function(e,i,r){var s,o=["x","x"].concat(i);return s=l.copyAttributes(r,e.options,"curve"),s.curvetype="functiongraph",new t.Curve(e,o,s)},t.registerElement("functiongraph",t.createFunctiongraph),t.registerElement("plot",t.createFunctiongraph),t.createSpline=function(e,i,r){var s,o;return o=function(){var t,e=[],r=[];return function(s,o){var a,h,c;if(!o){if(e=[],r=[],2===i.length&&l.isArray(i[0])&&l.isArray(i[1])&&i[0].length===i[1].length)for(a=0;a<i[0].length;a++)l.isFunction(i[0][a])?e.push(i[0][a]()):e.push(i[0][a]),l.isFunction(i[1][a])?r.push(i[1][a]()):r.push(i[1][a]);else for(a=0;a<i.length;a++)if(l.isPoint(i[a]))e.push(i[a].X()),r.push(i[a].Y());else if(l.isArray(i[a])&&2===i[a].length)for(h=0;h<i.length;h++)l.isFunction(i[h][0])?e.push(i[h][0]()):e.push(i[h][0]),l.isFunction(i[h][1])?r.push(i[h][1]()):r.push(i[h][1]);else l.isFunction(i[a])&&2===i[a]().length&&(c=i[a](),e.push(c[0]),r.push(c[1]));t=n.splineDef(e,r)}return n.splineEval(s,e,r,t)}},r=l.copyAttributes(r,e.options,"curve"),r.curvetype="functiongraph",s=new t.Curve(e,["x","x",o()],r),s.setParents(i),s.elType="spline",s},t.registerElement("spline",t.createSpline),t.createRiemannsum=function(t,e,i){var r,s,o,a,h,c;if(c=l.copyAttributes(i,t.options,"riemannsum"),c.curvetype="plot",o=e[0],r=l.createFunction(e[1],t,""),!l.exists(r))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]");if(s=l.createFunction(e[2],t,"",!1),!l.exists(s))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 a=[[0],[0]].concat(e.slice(3)),h=t.create("curve",a,c),h.sum=0,h.Value=function(){return this.sum},h.updateDataArray=function(){var t=n.riemann(o,r(),s(),this.minX(),this.maxX());this.dataX=t[0],this.dataY=t[1],this.sum=t[2]},h},t.registerElement("riemannsum",t.createRiemannsum),t.createTracecurve=function(t,i,r){var s,o,n,a;if(2!==i.length)throw new Error("JSXGraph: Can't create trace curve with given parent'\nPossible parent types: [glider, point]");if(o=t.select(i[0]),n=t.select(i[1]),o.type!==e.OBJECT_TYPE_GLIDER||!l.isPoint(n))throw new Error("JSXGraph: Can't create trace curve with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [glider, point]");return a=l.copyAttributes(r,t.options,"tracecurve"),a.curvetype="plot",s=t.create("curve",[[0],[0]],a),s.updateDataArray=function(){var t,i,r,s,h,l,c,d,u,p=a.numberpoints,f=o.position,m=o.slideObject,g=m.minX(),b=m.maxX();for(i=(b-g)/p,this.dataX=[],this.dataY=[],m.elementClass!==e.OBJECT_CLASS_CURVE&&p++,t=0;p>t;t++){r=g+t*i,l=m.X(r)/m.Z(r),c=m.Y(r)/m.Z(r),o.setPositionDirectly(e.COORDS_BY_USER,[l,c]),d=!1;for(s in this.board.objects)if(this.board.objects.hasOwnProperty(s)&&(h=this.board.objects[s],h===o&&(d=!0),d&&h.needsRegularUpdate&&(u=h.visProp.trace,h.visProp.trace=!1,h.needsUpdate=!0,h.update(!0),h.visProp.trace=u,h===n)))break;this.dataX[t]=n.X(),this.dataY[t]=n.Y()}o.position=f,d=!1;for(s in this.board.objects)if(this.board.objects.hasOwnProperty(s)&&(h=this.board.objects[s],h===o&&(d=!0),d&&h.needsRegularUpdate&&(u=h.visProp.trace,h.visProp.trace=!1,h.needsUpdate=!0,h.update(!0),h.visProp.trace=u,h===n)))break},s},t.registerElement("tracecurve",t.createTracecurve),t.createStepfunction=function(t,e,i){var r,s;if(2!==e.length)throw new Error("JSXGraph: Can't create step function with given parent'\nPossible parent types: [array, array|function]");return s=l.copyAttributes(i,t.options,"stepfunction"),r=t.create("curve",e,s),r.updateDataArray=function(){var t,e=0,i=this.xterm.length;if(this.dataX=[],this.dataY=[],0!==i)for(this.dataX[e]=this.xterm[0],this.dataY[e]=this.yterm[0],++e,t=1;i>t;++t)this.dataX[e]=this.xterm[t],this.dataY[e]=this.dataY[e-1],++e,this.dataX[e]=this.xterm[t],this.dataY[e]=this.yterm[t],++e},r},t.registerElement("stepfunction",t.createStepfunction),{Curve:t.Curve,createCurve:t.createCurve,createFunctiongraph:t.createFunctiongraph,createPlot:t.createPlot,createSpline:t.createSpline,createRiemannsum:t.createRiemannsum,createTracecurve:t.createTracecurve,createStepfunction:t.createStepfunction}}),define("element/composition",["jxg","math/math","math/geometry","math/numerics","math/statistics","base/coords","utils/type","base/constants","base/point","base/line","base/circle","base/transformation","base/composition","base/curve","base/text"],function(t,e,i,r,s,o,n,a,h,l,c,d,u,p,f){"use strict";return t.createOrthogonalProjection=function(t,e,r){var s,o,h,l;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),n.isPointType(t,e[0])&&e[1].elementClass===a.OBJECT_CLASS_LINE)o=n.providePoints(t,[e[0]],r,"point")[0],s=e[1];else{if(!n.isPointType(t,e[1])||e[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");o=n.providePoints(t,[e[1]],r,"point")[0],s=e[0]}return l=n.copyAttributes(r,t.options,"orthogonalprojection"),h=t.create("point",[function(){return i.projectPointToLine(o,s,t)}],l),o.addChild(h),s.addChild(h),h.elType="orthogonalprojection",h.setParents([o.id,h.id]),h.update(),h.generatePolynomial=function(){var t=s.point1.symbolic.x,e=s.point1.symbolic.y,i=s.point2.symbolic.x,r=s.point2.symbolic.y,n=o.symbolic.x,a=o.symbolic.y,l=h.symbolic.x,c=h.symbolic.y,d="("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+r+")-("+l+")*("+r+")",u="("+a+")*("+e+")-("+a+")*("+r+")-("+c+")*("+e+")+("+c+")*("+r+")+("+n+")*("+t+")-("+n+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")";return[d,u]},h},t.createPerpendicular=function(t,e,i){var r,s,o,h;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),n.isPointType(t,e[0])&&e[1].elementClass===a.OBJECT_CLASS_LINE)s=e[1],r=n.providePoints(t,[e[0]],i,"point")[0];else{if(!n.isPointType(t,e[1])||e[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [line,point]");s=e[0],r=n.providePoints(t,[e[1]],i,"point")[0]}return h=n.copyAttributes(i,t.options,"perpendicular"),o=l.createLine(t,[function(){return s.stdform[2]*r.X()-s.stdform[1]*r.Y()},function(){return-s.stdform[2]*r.Z()},function(){return s.stdform[1]*r.Z()}],h),o.elType="perpendicular",o.setParents([s.id,r.id]),o},t.createPerpendicularPoint=function(t,e,r){var s,o,h;if(e[0]=t.select(e[0]),e[1]=t.select(e[1]),n.isPointType(t,e[0])&&e[1].elementClass===a.OBJECT_CLASS_LINE)o=n.providePoints(t,[e[0]],r,"point")[0],s=e[1];else{if(!n.isPointType(t,e[1])||e[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,line]");o=n.providePoints(t,[e[1]],r,"point")[0],s=e[0]}return h=t.create("point",[function(){return i.perpendicular(s,o,t)[0]}],r),o.addChild(h),s.addChild(h),h.elType="perpendicularpoint",h.setParents([o.id,s.id]),h.update(),h.generatePolynomial=function(){var t=s.point1.symbolic.x,e=s.point1.symbolic.y,i=s.point2.symbolic.x,r=s.point2.symbolic.y,n=o.symbolic.x,a=o.symbolic.y,l=h.symbolic.x,c=h.symbolic.y,d="("+e+")*("+l+")-("+e+")*("+i+")+("+c+")*("+i+")-("+t+")*("+c+")+("+t+")*("+r+")-("+l+")*("+r+")",u="("+a+")*("+e+")-("+a+")*("+r+")-("+c+")*("+e+")+("+c+")*("+r+")+("+n+")*("+t+")-("+n+")*("+i+")-("+l+")*("+t+")+("+l+")*("+i+")";return[d,u]},h},t.createPerpendicularSegment=function(e,r,s){var o,h,c,d,u;if(r[0]=e.select(r[0]),r[1]=e.select(r[1]),n.isPointType(e,r[0])&&r[1].elementClass===a.OBJECT_CLASS_LINE)h=r[1],o=n.providePoints(e,[r[0]],s,"point")[0];else{if(!n.isPointType(e,r[1])||r[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create perpendicular with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [line,point]");h=r[0],o=n.providePoints(e,[r[1]],s,"point")[0]}return u=n.copyAttributes(s,e.options,"perpendicularsegment","point"),d=t.createPerpendicularPoint(e,[h,o],u),d.dump=!1,n.exists(s.layer)||(s.layer=e.options.layer.line),u=n.copyAttributes(s,e.options,"perpendicularsegment"),c=l.createLine(e,[function(){return i.perpendicular(h,o,e)[1]?[d,o]:[o,d]}],u),c.point=d,c.elType="perpendicularsegment",c.setParents([o.id,h.id]),c.subs={point:d},c},t.createMidpoint=function(t,i,r){var s,o,h,l;for(l=0;l<i.length;++l)i[l]=t.select(i[l]);if(2===i.length&&n.isPointType(t,i[0])&&n.isPointType(t,i[1]))i=n.providePoints(t,i,r,"point"),s=i[0],o=i[1];else{if(1!==i.length||i[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create midpoint.\nPossible parent types: [point,point], [line]");s=i[0].point1,o=i[0].point2}return h=t.create("point",[function(){var t=s.coords.usrCoords[1]+o.coords.usrCoords[1];return isNaN(t)||Math.abs(s.coords.usrCoords[0])<e.eps||Math.abs(o.coords.usrCoords[0])<e.eps?NaN:.5*t},function(){var t=s.coords.usrCoords[2]+o.coords.usrCoords[2];return isNaN(t)||Math.abs(s.coords.usrCoords[0])<e.eps||Math.abs(o.coords.usrCoords[0])<e.eps?NaN:.5*t}],r),s.addChild(h),o.addChild(h),h.elType="midpoint",h.setParents([s.id,o.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=s.symbolic.x,e=s.symbolic.y,i=o.symbolic.x,r=o.symbolic.y,n=h.symbolic.x,a=h.symbolic.y,l="("+e+")*("+n+")-("+e+")*("+i+")+("+a+")*("+i+")-("+t+")*("+a+")+("+t+")*("+r+")-("+n+")*("+r+")",c="("+t+")^2 - 2*("+t+")*("+n+")+("+e+")^2-2*("+e+")*("+a+")-("+i+")^2+2*("+i+")*("+n+")-("+r+")^2+2*("+r+")*("+a+")";return[l,c]},h},t.createParallelPoint=function(t,e,i){var r,s,o,h,l;for(l=0;l<e.length;++l)e[l]=t.select(e[l]);if(3===e.length&&n.isPointType(t,e[0])&&n.isPointType(t,e[1])&&n.isPointType(t,e[2]))e=n.providePoints(t,e,i,"point"),r=e[0],s=e[1],o=e[2];else if(n.isPointType(t,e[0])&&e[1].elementClass===a.OBJECT_CLASS_LINE)o=n.providePoints(t,[e[0]],i,"point")[0],r=e[1].point1,s=e[1].point2;else{if(!n.isPointType(t,e[1])||e[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create parallel point with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [line,point], [point,point,point]");o=n.providePoints(t,[e[1]],i,"point")[0],r=e[0].point1,s=e[0].point2}return h=t.create("point",[function(){return o.coords.usrCoords[1]+s.coords.usrCoords[1]-r.coords.usrCoords[1]},function(){return o.coords.usrCoords[2]+s.coords.usrCoords[2]-r.coords.usrCoords[2]}],i),r.addChild(h),s.addChild(h),o.addChild(h),h.elType="parallelpoint",h.setParents([r.id,s.id,o.id]),h.prepareUpdate().update(),h.generatePolynomial=function(){var t=r.symbolic.x,e=r.symbolic.y,i=s.symbolic.x,n=s.symbolic.y,a=o.symbolic.x,l=o.symbolic.y,c=h.symbolic.x,d=h.symbolic.y,u="("+n+")*("+c+")-("+n+")*("+a+")-("+e+")*("+c+")+("+e+")*("+a+")-("+d+")*("+i+")+("+d+")*("+t+")+("+l+")*("+i+")-("+l+")*("+t+")",p="("+d+")*("+t+")-("+d+")*("+a+")-("+n+")*("+t+")+("+n+")*("+a+")-("+c+")*("+e+")+("+c+")*("+l+")+("+i+")*("+e+")-("+i+")*("+l+")";return[u,p]},h},t.createParallel=function(t,i,r){var s,o,a,h,l,c;for(l=0;l<i.length;++l)i[l]=t.select(i[l]);return s=null,3===i.length?(i=n.providePoints(t,i,r,"point"),s=i[2],h=function(){return e.crossProduct(i[0].coords.usrCoords,i[1].coords.usrCoords)}):n.isPointType(t,i[0])?(s=n.providePoints(t,[i[0]],r,"point")[0],h=function(){return i[1].stdform}):n.isPointType(t,i[1])&&(s=n.providePoints(t,[i[1]],r,"point")[0],h=function(){return i[0].stdform}),n.exists(r.layer)||(r.layer=t.options.layer.line),c=n.copyAttributes(r,t.options,"parallel","point"),
o=t.create("point",[function(){return e.crossProduct([1,0,0],h())}],c),o.isDraggable=!0,c=n.copyAttributes(r,t.options,"parallel"),a=t.create("line",[s,o],c),a.elType="parallel",a.setParents([i[0].id,i[1].id]),3===i.length&&a.addParents(i[2].id),a.point=o,a},t.createArrowParallel=function(e,i,r){var s;try{return r.firstArrow=!1,r.lastArrow=!0,s=t.createParallel(e,i,r).setAttribute({straightFirst:!1,straightLast:!1}),s.elType="arrowparallel",s}catch(o){throw new Error("JSXGraph: Can't create arrowparallel with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [line,point], [point,point,point]")}},t.createNormal=function(t,i,s){var o,h,l,c,d,u,p,f,m;for(c=0;c<i.length;++c)i[c]=t.select(i[c]);if(1===i.length)o=i[0],h=o.slideObject;else{if(2!==i.length)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");if(n.isPointType(t,i[0]))o=n.providePoints(t,[i[0]],s,"point")[0],h=i[1];else{if(!n.isPointType(t,i[1]))throw new Error("JSXGraph: Can't create normal with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");h=i[0],o=n.providePoints(t,[i[1]],s,"point")[0]}}if(p=n.copyAttributes(s,t.options,"normal"),h.elementClass===a.OBJECT_CLASS_LINE)m=n.copyAttributes(s,t.options,"normal","point"),f=t.create("point",[function(){var t=e.crossProduct([1,0,0],h.stdform);return[t[0],-t[2],t[1]]}],m),f.isDraggable=!0,l=t.create("line",[o,f],p),l.point=f;else if(h.elementClass===a.OBJECT_CLASS_CIRCLE)l=t.create("line",[h.midpoint,o],p);else if(h.elementClass===a.OBJECT_CLASS_CURVE)"plot"!==h.visProp.curvetype?(d=h.X,u=h.Y,l=t.create("line",[function(){return-o.X()*r.D(d)(o.position)-o.Y()*r.D(u)(o.position)},function(){return r.D(d)(o.position)},function(){return r.D(u)(o.position)}],p)):l=t.create("line",[function(){var t=Math.floor(o.position),e=o.position-t;return t===h.numberPoints-1&&(t-=1,e=1),0>t?1:(h.Y(t)+e*(h.Y(t+1)-h.Y(t)))*(h.Y(t)-h.Y(t+1))-(h.X(t)+e*(h.X(t+1)-h.X(t)))*(h.X(t+1)-h.X(t))},function(){var t=Math.floor(o.position);return t===h.numberPoints-1&&(t-=1),0>t?0:h.X(t+1)-h.X(t)},function(){var t=Math.floor(o.position);return t===h.numberPoints-1&&(t-=1),0>t?0:h.Y(t+1)-h.Y(t)}],p);else{if(h.type!==a.OBJECT_TYPE_TURTLE)throw new Error("JSXGraph: Can't create normal with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,line], [point,circle], [glider]");l=t.create("line",[function(){var t,e,i=Math.floor(o.position),r=o.position-i;for(e=0;e<h.objects.length;e++)if(t=h.objects[e],t.type===a.OBJECT_TYPE_CURVE){if(i<t.numberPoints)break;i-=t.numberPoints}return i===t.numberPoints-1&&(i-=1,r=1),0>i?1:(t.Y(i)+r*(t.Y(i+1)-t.Y(i)))*(t.Y(i)-t.Y(i+1))-(t.X(i)+r*(t.X(i+1)-t.X(i)))*(t.X(i+1)-t.X(i))},function(){var t,e,i=Math.floor(o.position);for(e=0;e<h.objects.length;e++)if(t=h.objects[e],t.type===a.OBJECT_TYPE_CURVE){if(i<t.numberPoints)break;i-=t.numberPoints}return i===t.numberPoints-1&&(i-=1),0>i?0:t.X(i+1)-t.X(i)},function(){var t,e,i=Math.floor(o.position);for(e=0;e<h.objects.length;e++)if(t=h.objects[e],t.type===a.OBJECT_TYPE_CURVE){if(i<t.numberPoints)break;i-=t.numberPoints}return i===t.numberPoints-1&&(i-=1),0>i?0:t.Y(i+1)-t.Y(i)}],p)}return l.elType="normal",l.setParents(i),l},t.createBisector=function(t,e,r){var s,o,a,h;if(e=n.providePoints(t,e,r,"point"),n.isPoint(e[0])&&n.isPoint(e[1])&&n.isPoint(e[2])){for(h=n.copyAttributes(r,t.options,"bisector","point"),h.snapToGrid=!1,s=t.create("point",[function(){return i.angleBisector(e[0],e[1],e[2],t)}],h),s.dump=!1,a=0;3>a;a++)e[a].addChild(s);return n.exists(r.layer)||(r.layer=t.options.layer.line),h=n.copyAttributes(r,t.options,"bisector"),o=l.createLine(t,[e[1],s],h),o.point=s,o.elType="bisector",o.setParents(e),o.subs={point:s},o}throw new Error("JSXGraph: Can't create angle bisector with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point,point]")},t.createAngularBisectorsOfTwoLines=function(t,e,i){var r,s,o,h,l=t.select(e[0]),c=t.select(e[1]);if(l.elementClass!==a.OBJECT_CLASS_LINE||c.elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create angle bisectors of two lines with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [line,line]");return n.exists(i.layer)||(i.layer=t.options.layer.line),o=n.copyAttributes(i,t.options,"bisectorlines","line1"),r=t.create("line",[function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[0]/t-c.stdform[0]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[1]/t-c.stdform[1]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[2]/t-c.stdform[2]/e}],o),n.exists(i.layer)||(i.layer=t.options.layer.line),o=n.copyAttributes(i,t.options,"bisectorlines","line2"),s=t.create("line",[function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[0]/t+c.stdform[0]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[1]/t+c.stdform[1]/e},function(){var t=Math.sqrt(l.stdform[1]*l.stdform[1]+l.stdform[2]*l.stdform[2]),e=Math.sqrt(c.stdform[1]*c.stdform[1]+c.stdform[2]*c.stdform[2]);return l.stdform[2]/t+c.stdform[2]/e}],o),h=new u({line1:r,line2:s}),r.dump=!1,s.dump=!1,h.elType="bisectorlines",h.setParents([l.id,c.id]),h.subs={line1:r,line2:s},h},t.createCircumcenter=function(t,e,r){var s,o,a,l,c;if(e=n.providePoints(t,e,r,"point"),n.isPoint(e[0])&&n.isPoint(e[1])&&n.isPoint(e[2])){for(a=e[0],l=e[1],c=e[2],s=h.createPoint(t,[function(){return i.circumcenter(a,l,c,t)}],r),o=0;3>o;o++)e[o].addChild(s);return s.elType="circumcenter",s.setParents(e),s.generatePolynomial=function(){var t=a.symbolic.x,e=a.symbolic.y,i=l.symbolic.x,r=l.symbolic.y,o=c.symbolic.x,n=c.symbolic.y,h=s.symbolic.x,d=s.symbolic.y,u=["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",i,"))^2-((",d,")-(",r,"))^2"].join(""),p=["((",h,")-(",t,"))^2+((",d,")-(",e,"))^2-((",h,")-(",o,"))^2-((",d,")-(",n,"))^2"].join("");return[u,p]},s}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]")},t.createIncenter=function(t,e,i){var r,s,h,l;if(e=n.providePoints(t,e,i,"point"),!(e.length>=3&&n.isPoint(e[0])&&n.isPoint(e[1])&&n.isPoint(e[2])))throw new Error("JSXGraph: Can't create incenter with parent types '"+typeof e[0]+"', '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");return s=e[0],h=e[1],l=e[2],r=t.create("point",[function(){var e,i,r;return e=Math.sqrt((h.X()-l.X())*(h.X()-l.X())+(h.Y()-l.Y())*(h.Y()-l.Y())),i=Math.sqrt((s.X()-l.X())*(s.X()-l.X())+(s.Y()-l.Y())*(s.Y()-l.Y())),r=Math.sqrt((h.X()-s.X())*(h.X()-s.X())+(h.Y()-s.Y())*(h.Y()-s.Y())),new o(a.COORDS_BY_USER,[(e*s.X()+i*h.X()+r*l.X())/(e+i+r),(e*s.Y()+i*h.Y()+r*l.Y())/(e+i+r)],t)}],i),r.elType="incenter",r.setParents(e),r},t.createCircumcircle=function(e,i,r){var s,o,a;if(i=n.providePoints(e,i,r,"point"),i===!1)throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]");try{a=n.copyAttributes(r,e.options,"circumcircle","center"),s=t.createCircumcenter(e,i,a),s.dump=!1,n.exists(r.layer)||(r.layer=e.options.layer.circle),a=n.copyAttributes(r,e.options,"circumcircle"),o=c.createCircle(e,[s,i[0]],a),o.elType="circumcircle",o.setParents(i),o.subs={center:s}}catch(h){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")}return o},t.createIncircle=function(e,i,r){var s,o,a;if(i=n.providePoints(e,i,r,"point"),i===!1)throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]");try{a=n.copyAttributes(r,e.options,"incircle","center"),s=t.createIncenter(e,i,a),s.dump=!1,n.exists(r.layer)||(r.layer=e.options.layer.circle),a=n.copyAttributes(r,e.options,"incircle"),o=c.createCircle(e,[s,function(){var t=Math.sqrt((i[1].X()-i[2].X())*(i[1].X()-i[2].X())+(i[1].Y()-i[2].Y())*(i[1].Y()-i[2].Y())),e=Math.sqrt((i[0].X()-i[2].X())*(i[0].X()-i[2].X())+(i[0].Y()-i[2].Y())*(i[0].Y()-i[2].Y())),r=Math.sqrt((i[1].X()-i[0].X())*(i[1].X()-i[0].X())+(i[1].Y()-i[0].Y())*(i[1].Y()-i[0].Y())),s=(t+e+r)/2;return Math.sqrt((s-t)*(s-e)*(s-r)/s)}],a),o.elType="incircle",o.setParents(i),o.center=s,o.subs={center:s}}catch(h){throw new Error("JSXGraph: Can't create circumcircle with parent types '"+typeof i[0]+"', '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point]")}return o},t.createReflection=function(t,e,i){var r,s,o,l,c;for(c=0;c<e.length;++c)e[c]=t.select(e[c]);if(n.isPoint(e[0])&&e[1].elementClass===a.OBJECT_CLASS_LINE)s=n.providePoints(t,[e[0]],i,"point")[0],r=e[1];else{if(!n.isPoint(e[1])||e[0].elementClass!==a.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create reflection point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [line,point]");s=n.providePoints(t,[e[1]],i,"point")[0],r=e[0]}return l=d.createTransform(t,[r],{type:"reflect"}),o=h.createPoint(t,[s,l],i),s.addChild(o),r.addChild(o),o.elType="reflection",o.setParents(e),o.prepareUpdate().update(),o.generatePolynomial=function(){var t=r.point1.symbolic.x,e=r.point1.symbolic.y,i=r.point2.symbolic.x,n=r.point2.symbolic.y,a=s.symbolic.x,h=s.symbolic.y,l=o.symbolic.x,c=o.symbolic.y,d=["((",c,")-(",h,"))*((",e,")-(",n,"))+((",t,")-(",i,"))*((",l,")-(",a,"))"].join(""),u=["((",l,")-(",t,"))^2+((",c,")-(",e,"))^2-((",a,")-(",t,"))^2-((",h,")-(",e,"))^2"].join("");return[d,u]},o},t.createMirrorPoint=function(t,e,r){var s,o;if(e=n.providePoints(t,e,r,"point"),!n.isPoint(e[0])||!n.isPoint(e[1]))throw new Error("JSXGraph: Can't create mirror point with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point]");for(s=h.createPoint(t,[function(){return i.rotation(e[0],e[1],Math.PI,t)}],r),o=0;2>o;o++)e[o].addChild(s);return s.elType="mirrorpoint",s.setParents(e),s.prepareUpdate().update(),s},t.createIntegral=function(e,i,s){var h,l,c,d,u,p,f,m,g,b,v,y,C,P,_=null;if(n.isArray(i[0])&&i[1].elementClass===a.OBJECT_CLASS_CURVE)h=i[0],l=i[1];else{if(!n.isArray(i[1])||i[0].elementClass!==a.OBJECT_CLASS_CURVE)throw new Error("JSXGraph: Can't create integral with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [[number|function,number|function],curve]");h=i[1],l=i[0]}return c=n.copyAttributes(s,e.options,"integral"),c.withLabel=!1,P=e.create("curve",[[0],[0]],c),d=h[0],u=h[1],n.isFunction(d)?(p=d,f=function(){return l.Y(p())},d=p()):(p=d,f=l.Y(d)),n.isFunction(u)?(m=u,g=function(){return l.Y(m())},u=m()):(m=u,g=l.Y(u)),c=n.copyAttributes(s,e.options,"integral","curveLeft"),b=e.create("glider",[p,f,l],c),n.isFunction(p)&&b.hideElement(),c=n.copyAttributes(s,e.options,"integral","baseLeft"),v=e.create("point",[function(){return"y"===P.visProp.axis?0:b.X()},function(){return"y"===P.visProp.axis?b.Y():0}],c),c=n.copyAttributes(s,e.options,"integral","curveRight"),y=e.create("glider",[m,g,l],c),n.isFunction(m)&&y.hideElement(),c=n.copyAttributes(s,e.options,"integral","baseRight"),C=e.create("point",[function(){return"y"===P.visProp.axis?0:y.X()},function(){return"y"===P.visProp.axis?y.Y():0}],c),c=n.copyAttributes(s,e.options,"integral"),c.withlabel!==!1&&"y"!==c.axis&&(c=n.copyAttributes(s,e.options,"integral","label"),c=n.copyAttributes(c,e.options,"label"),_=e.create("text",[function(){var t=new o(a.COORDS_BY_SCREEN,[this.visProp.offset[0]+this.board.origin.scrCoords[1],0],this.board,!1),e=this.board.getBoundingBox(),i=.1*(e[2]-e[0]),r=y.X();return r<e[0]?r=e[0]+i:r>e[2]&&(r=e[2]-i),r+t.usrCoords[1]},function(){var t=new o(a.COORDS_BY_SCREEN,[0,this.visProp.offset[1]+this.board.origin.scrCoords[2]],this.board,!1),e=this.board.getBoundingBox(),i=.1*(e[1]-e[3]),r=y.Y();return r>e[1]?r=e[1]-i:r<e[3]&&(r=e[3]+i),r+t.usrCoords[2]},function(){var t=r.NewtonCotes([v.X(),C.X()],l.Y);return"&int; = "+t.toFixed(4)}],c),_.dump=!1,b.addChild(_),y.addChild(_)),b.dump=!1,v.dump=!1,y.dump=!1,C.dump=!1,P.elType="integral",P.setParents([l.id,h]),P.subs={curveLeft:b,baseLeft:v,curveRight:y,baseRight:C},c.withLabel&&(P.subs.label=_),P.Value=function(){return r.I([v.X(),C.X()],l.Y)},P.updateDataArray=function(){var t,e,i,r,s,o,n,a,h;if("y"===this.visProp.axis){for(b.Y()<y.Y()?(o=b.X(),a=b.Y(),n=y.X(),h=y.Y()):(o=y.X(),a=y.Y(),n=b.X(),h=b.Y()),r=Math.min(o,n),s=Math.max(o,n),t=[0,o],e=[a,a],i=0;i<l.numberPoints;i++)a<=l.points[i].usrCoords[2]&&r<=l.points[i].usrCoords[1]&&l.points[i].usrCoords[2]<=h&&l.points[i].usrCoords[1]<=s&&(t.push(l.points[i].usrCoords[1]),e.push(l.points[i].usrCoords[2]));t.push(n),e.push(h),t.push(0),e.push(h),t.push(0),e.push(a)}else{for(v.X()<C.X()?(r=v.X(),s=C.X()):(r=C.X(),s=v.X()),t=[r,r],e=[0,l.Y(r)],i=0;i<l.numberPoints;i++)r<=l.points[i].usrCoords[1]&&l.points[i].usrCoords[1]<=s&&(t.push(l.points[i].usrCoords[1]),e.push(l.points[i].usrCoords[2]));t.push(s),e.push(l.Y(s)),t.push(s),e.push(0),t.push(r),e.push(0)}this.dataX=t,this.dataY=e},b.addChild(P),y.addChild(P),v.addChild(P),C.addChild(P),P.baseLeft=v,P.baseRight=C,P.curveLeft=b,P.curveRight=y,P.methodMap=t.deepCopy(P.methodMap,{curveLeft:"curveLeft",baseLeft:"baseLeft",curveRight:"curveRight",baseRight:"baseRight",Value:"Value"}),P.label=_,P},t.createGrid=function(t,e,i){var r,s;return s=n.copyAttributes(i,t.options,"grid"),r=t.create("curve",[[null],[null]],s),r.elType="grid",r.type=a.OBJECT_TYPE_GRID,r.updateDataArray=function(){var e,i,s,h,l,c=this.visProp.gridx,d=this.visProp.gridy;for(h=n.isArray(this.visProp.topleft)?new o(this.visProp.tltype||a.COORDS_BY_USER,this.visProp.topleft,t):new o(a.COORDS_BY_SCREEN,[0,0],t),l=n.isArray(this.visProp.bottomright)?new o(this.visProp.brtype||a.COORDS_BY_USER,this.visProp.bottomright,t):new o(a.COORDS_BY_SCREEN,[t.canvasWidth,t.canvasHeight],t),t.options.grid.hasGrid=!0,r.dataX=[],r.dataY=[],e=Math.floor(h.usrCoords[2]/d)*d,i=Math.ceil(l.usrCoords[2]/d)*d,h.usrCoords[2]<l.usrCoords[2]&&(e=Math.ceil(l.usrCoords[2]/d)*d,i=Math.floor(h.usrCoords[2]/d)*d),s=e;s>i-d;s-=d)r.dataX.push(h.usrCoords[1],l.usrCoords[1],NaN),r.dataY.push(s,s,NaN);for(e=Math.ceil(h.usrCoords[1]/c)*c,i=Math.floor(l.usrCoords[1]/c)*c,h.usrCoords[1]>l.usrCoords[1]&&(e=Math.floor(l.usrCoords[1]/c)*c,i=Math.ceil(h.usrCoords[1]/c)*c),s=e;i+c>s;s+=c)r.dataX.push(s,s,NaN),r.dataY.push(h.usrCoords[2],l.usrCoords[2],NaN)},r.hasPoint=function(){return!1},t.grids.push(r),r},t.createInequality=function(t,r,o){var h,l,c;if(c=n.copyAttributes(o,t.options,"inequality"),r[0].elementClass===a.OBJECT_CLASS_LINE)l=t.create("curve",[[],[]],c),l.hasPoint=function(){return!1},l.updateDataArray=function(){var o,n,h,l=t.getBoundingBox(),d=c.inverse?-1:1,u=1.5,p=u*Math.max(l[2]-l[0],l[1]-l[3]),f={coords:{usrCoords:[1,(l[0]+l[2])/2,c.inverse?l[1]:l[3]]}},m=r[0].stdform.slice(1),g=m;m[1]>0&&(m=s.multiply(m,-1),g=m),h=u*Math.max(i.perpendicular(r[0],f,t)[0].distance(a.COORDS_BY_USER,f.coords),p),h*=d,f={coords:{usrCoords:[1,(l[0]+l[2])/2,(l[1]+l[3])/2]}},f=Math.abs(e.innerProduct(f.coords.usrCoords,r[0].stdform,3))>=e.eps?i.perpendicular(r[0],f,t)[0].usrCoords:f.coords.usrCoords,o=[1,f[1]+m[1]*p,f[2]-m[0]*p],n=[1,f[1]-g[1]*p,f[2]+g[0]*p],this.dataX=[o[1],o[1]+m[0]*h,n[1]+g[0]*h,n[1],o[1]],this.dataY=[o[2],o[2]+m[1]*h,n[2]+g[1]*h,n[2],o[2]]};else if(h=n.createFunction(r[0]),!n.exists(h))throw new Error("JSXGraph: Can't create area with the given parents.\nPossible parent types: [line], [function]");return l},t.registerElement("arrowparallel",t.createArrowParallel),t.registerElement("bisector",t.createBisector),t.registerElement("bisectorlines",t.createAngularBisectorsOfTwoLines),t.registerElement("circumcircle",t.createCircumcircle),t.registerElement("circumcirclemidpoint",t.createCircumcenter),t.registerElement("circumcenter",t.createCircumcenter),t.registerElement("incenter",t.createIncenter),t.registerElement("incircle",t.createIncircle),t.registerElement("integral",t.createIntegral),t.registerElement("midpoint",t.createMidpoint),t.registerElement("mirrorpoint",t.createMirrorPoint),t.registerElement("normal",t.createNormal),t.registerElement("orthogonalprojection",t.createOrthogonalProjection),t.registerElement("parallel",t.createParallel),t.registerElement("parallelpoint",t.createParallelPoint),t.registerElement("perpendicular",t.createPerpendicular),t.registerElement("perpendicularpoint",t.createPerpendicularPoint),t.registerElement("perpendicularsegment",t.createPerpendicularSegment),t.registerElement("reflection",t.createReflection),t.registerElement("grid",t.createGrid),t.registerElement("inequality",t.createInequality),{createArrowParallel:t.createArrowParallel,createBisector:t.createBisector,createAngularBisectorOfTwoLines:t.createAngularBisectorsOfTwoLines,createCircumcircle:t.createCircumcircle,createCircumcenter:t.createCircumcenter,createIncenter:t.createIncenter,createIncircle:t.createIncircle,createIntegral:t.createIntegral,createMidpoint:t.createMidpoint,createMirrorPoint:t.createMirrorPoint,createNormal:t.createNormal,createOrthogonalProjection:t.createOrthogonalProjection,createParallel:t.createParallel,createParallelPoint:t.createParallelPoint,createPerpendicular:t.createPerpendicular,createPerpendicularPoint:t.createPerpendicularPoint,createPerpendicularSegmen:t.createPerpendicularSegment,createReflection:t.createReflection,createGrid:t.createGrid,createInequality:t.createInequality}}),define("base/board",["jxg","base/constants","base/coords","options","math/numerics","math/math","math/geometry","math/complex","math/statistics","parser/jessiecode","parser/geonext","utils/color","utils/type","utils/event","utils/env","base/transformation","base/point","base/line","base/text","element/composition","base/composition"],function(t,e,i,r,s,o,n,a,h,l,c,d,u,p,f,m,g,b,v,y,C){"use strict";return t.Board=function(t,i,s,o,n,a,h,c,d,m,g){if(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,u.exists(g.document)&&g.document!==!1?this.document=g.document:"undefined"!=typeof document&&u.isObject(document)&&(this.document=document),this.container=t,this.containerObj=f.isBrowser?this.document.getElementById(this.container):null,f.isBrowser&&"no"!==i.type&&null===this.containerObj)throw new Error("\nJSXGraph: HTML container element '"+t+"' not found.");this.renderer=i,this.grids=[],this.options=u.deepCopy(r),this.attr=g,this.dimension=2,this.jc=new l,this.jc.use(this),this.origin={},this.origin.usrCoords=[1,0,0],this.origin.scrCoords=[1,o[0],o[1]],this.zoomX=n,this.zoomY=a,this.unitX=h*this.zoomX,this.unitY=c*this.zoomY,this.keepaspectratio=!1,this.canvasWidth=d,this.canvasHeight=m,u.exists(s)&&""!==s&&f.isBrowser&&!u.exists(this.document.getElementById(s))?this.id=s:this.id=this.generateId(),p.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.drag_position=[0,0],this.mouse={},this.touches=[],this.xmlString="",this.cPos=[],this.positionAccessLast=0,this.downObjects=[],this.attr.showcopyright&&this.renderer.displayCopyright(e.licenseText,parseInt(this.options.text.fontSize,10)),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.hasPointerHandlers=!1,this.hasGestureHandlers=!1,this.hasMouseUp=!1,this.hasTouchEnd=!1,this.hasPointerUp=!1,this._drag_offset=[0,0],this.selectingMode=!1,this.isSelecting=!1,this.selectingBox=[[0,0],[0,0]],this.attr.registerevents&&this.addEventHandlers(),this.methodMap={update:"update",fullUpdate:"fullUpdate",on:"on",off:"off",trigger:"trigger",setView:"setBoundingBox",setBoundingBox:"setBoundingBox",migratePoint:"migratePoint",colorblind:"emulateColorblindness",suspendUpdate:"suspendUpdate",unsuspendUpdate:"unsuspendUpdate",clearTraces:"clearTraces",left:"clickLeftArrow",right:"clickRightArrow",up:"clickUpArrow",down:"clickDownArrow",zoomIn:"zoomIn",zoomOut:"zoomOut",zoom100:"zoom100",zoomElements:"zoomElements",remove:"removeObject",removeObject:"removeObject"}},t.extend(t.Board.prototype,{generateName:function(t){var i,r,s=this.attr.maxnamelength,o="",n="",a=[],h="";if(t.type===e.OBJECT_TYPE_TICKS)return"";for(i=u.isPoint(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"]:t.type===e.OBJECT_TYPE_ANGLE?["","&alpha;","&beta;","&gamma;","&delta;","&epsilon;","&zeta;","&eta;","&theta;","&iota;","&kappa;","&lambda;","&mu;","&nu;","&xi;","&omicron;","&pi;","&rho;","&sigma;","&tau;","&upsilon;","&phi;","&chi;","&psi;","&omega;"]:["","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"],u.isPoint(t)||t.elementClass===e.OBJECT_CLASS_LINE||t.type===e.OBJECT_TYPE_ANGLE||(o=t.type===e.OBJECT_TYPE_POLYGON?"P_{":t.elementClass===e.OBJECT_CLASS_CIRCLE?"k_{":t.elementClass===e.OBJECT_CLASS_TEXT?"t_{":"s_{",n="}"),r=0;s>r;r++)a[r]=0;for(;a[s-1]<i.length;){for(a[0]=1;a[0]<i.length;a[0]++){for(h=o,r=s;r>0;r--)h+=i[a[r-1]];if(!u.exists(this.elementsByName[h+n]))return h+n}for(a[0]=i.length,r=1;s>r;r++)a[r-1]===i.length&&(a[r-1]=1,a[r]+=1)}return""},generateId:function(){for(var e=1;u.exists(t.boards["jxgBoard"+e]);)e=Math.round(65535*Math.random());return"jxgBoard"+e},setId:function(t,e){var i=this.numObjects,r=t.id;return this.numObjects+=1,""!==r&&u.exists(r)||(r=this.id+e+i),t.id=r,this.objects[r]=t,t._pos=this.objectsList.length,this.objectsList[this.objectsList.length]=t,r},finalizeAdding:function(t){t.visProp.visible||this.renderer.hide(t)},finalizeLabel:function(t){!t.hasLabel||t.label.visProp.islabel||t.label.visProp.visible||this.renderer.hide(t.label)},getCoordsTopLeftCorner:function(){var t,e,i,r=this.document.documentElement||this.document.body.parentNode,s=this.document.body,o=this.containerObj;return this.cPos.length>0&&(this.mode===this.BOARD_MODE_DRAG||this.mode===this.BOARD_MODE_MOVE_ORIGIN||(new Date).getTime()-this.positionAccessLast<1e3)?this.cPos:(this.positionAccessLast=(new Date).getTime(),o.getBoundingClientRect?(i=o.getBoundingClientRect(),t=[i.left,i.top],t[0]+=f.getProp(o,"border-left-width"),t[1]+=f.getProp(o,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=f.getProp(o,"padding-left"),t[1]+=f.getProp(o,"padding-top")),this.cPos=t.slice(),this.cPos):(t=f.getOffset(o),e=this.document.documentElement.ownerDocument,!this.containerObj.currentStyle&&e.defaultView&&(t[0]+=f.getProp(r,"margin-left"),t[1]+=f.getProp(r,"margin-top"),t[0]+=f.getProp(r,"border-left-width"),t[1]+=f.getProp(r,"border-top-width"),t[0]+=f.getProp(r,"padding-left"),t[1]+=f.getProp(r,"padding-top")),s&&(t[0]+=f.getProp(s,"left"),t[1]+=f.getProp(s,"top")),"object"==typeof google&&google.translate&&(t[0]+=10,t[1]+=25),t[0]+=f.getProp(o,"border-left-width"),t[1]+=f.getProp(o,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=f.getProp(o,"padding-left"),t[1]+=f.getProp(o,"padding-top")),t[0]+=this.attr.offsetx,t[1]+=this.attr.offsety,this.cPos=t.slice(),this.cPos))},getMousePosition:function(t,e){var i,r,s=this.getCoordsTopLeftCorner();return i=f.getPosition(t,e,this.document),u.exists(this.cssTransMat)||this.updateCSSTransforms(),r=[1,i[0]-s[0],i[1]-s[1]],r=o.matVecMult(this.cssTransMat,r),r[1]/=r[0],r[2]/=r[0],[r[1],r[2]]},initMoveOrigin:function(t,e){this.drag_dx=t-this.origin.scrCoords[1],this.drag_dy=e-this.origin.scrCoords[2],this.mode=this.BOARD_MODE_MOVE_ORIGIN,this.updateQuality=this.BOARD_QUALITY_LOW},initMoveObject:function(t,i,r,s){var o,n,a,l=[],c=[],d=this.objectsList.length,p={visProp:{layer:-1e4}};for(n=0;d>n;n++)o=this.objectsList[n],a=o.hasPoint&&o.hasPoint(t,i),o.visProp.visible&&a&&(o.triggerEventHandlers([s+"down","down"],[r]),this.downObjects.push(o)),(this.geonextCompatibilityMode&&(u.isPoint(o)||o.elementClass===e.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&o.isDraggable&&o.visProp.visible&&!o.visProp.fixed&&a&&(o.visProp.layer>p.visProp.layer||o.visProp.layer===p.visProp.layer&&o.lastDragTime.getTime()>=p.lastDragTime.getTime())&&(this.attr.ignorelabels&&u.exists(p.label)&&o===p.label||(p=o,l.push(p),u.exists(p.coords)?c.push(h.subtract(p.coords.scrCoords.slice(1),[t,i])):c.push([0,0])));return l.length>0&&(this.mode=this.BOARD_MODE_DRAG),this.attr.takefirst?(l.length=1,this._drag_offset=c[0]):(l=l.slice(-1),this._drag_offset=c[c.length-1]),this._drag_offset||(this._drag_offset=[0,0]),l},moveObject:function(t,r,s,o,n){var a,l=new i(e.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,r),this);s&&s.obj&&(a=s.obj,this.drag_position=[l.scrCoords[1],l.scrCoords[2]],this.drag_position=h.add(this.drag_position,this._drag_offset),u.exists(a.coords)?a.setPositionDirectly(e.COORDS_BY_SCREEN,this.drag_position):(this.renderer.hide(this.infobox),isNaN(s.targets[0].Xprev+s.targets[0].Yprev)||a.setPositionDirectly(e.COORDS_BY_SCREEN,[l.scrCoords[1],l.scrCoords[2]],[s.targets[0].Xprev,s.targets[0].Yprev]),s.targets[0].Xprev=l.scrCoords[1],s.targets[0].Yprev=l.scrCoords[2]),a.prepareUpdate().update(!1).updateRenderer(),a.triggerEventHandlers([n+"drag","drag"],[o]),this.updateInfobox(a),this.update(),a.highlight(!0),a.lastDragTime=new Date)},twoFingerMove:function(t,r,s,o){var n,a,h;u.exists(s)&&u.exists(s.obj)&&(h=s.obj,n=new i(e.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t[0],t[1]),this),a=new i(e.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(r[0],r[1]),this),h.elementClass===e.OBJECT_CLASS_LINE||h.type===e.OBJECT_TYPE_POLYGON?this.twoFingerTouchObject(n,a,s,h):h.elementClass===e.OBJECT_CLASS_CIRCLE&&this.twoFingerTouchCircle(n,a,s,h),h.triggerEventHandlers(["touchdrag","drag"],[o]),s.targets[0].Xprev=n.scrCoords[1],s.targets[0].Yprev=n.scrCoords[2],s.targets[1].Xprev=a.scrCoords[1],s.targets[1].Yprev=a.scrCoords[2])},twoFingerTouchObject:function(t,r,s,a){var h,l,c,d,p,f,m,g,b,v,y,C,P,_,S,E,x,w,O;if(u.exists(s.targets[0])&&u.exists(s.targets[1])&&!isNaN(s.targets[0].Xprev+s.targets[0].Yprev+s.targets[1].Xprev+s.targets[1].Yprev)){if(h=t.usrCoords,l=r.usrCoords,c=new i(e.COORDS_BY_SCREEN,[s.targets[0].Xprev,s.targets[0].Yprev],this).usrCoords,d=new i(e.COORDS_BY_SCREEN,[s.targets[1].Xprev,s.targets[1].Yprev],this).usrCoords,f=[1,.5*(c[1]+d[1]),.5*(c[2]+d[2])],p=[1,.5*(h[1]+l[1]),.5*(h[2]+l[2])],g=o.crossProduct(c,d),m=o.crossProduct(h,l),v=o.crossProduct(g,m),Math.abs(v[0])<o.eps)return;if(v[1]/=v[0],v[2]/=v[0],y=n.rad(f.slice(1),v.slice(1),p.slice(1)),C=this.create("transform",[y,v[1],v[2]],{type:"rotate"}),C.update(),f=o.matVecMult(C.matrix,f),f[1]/=f[0],f[2]/=f[0],P=this.create("transform",[p[1]-f[1],p[2]-f[2]],{type:"translate"}),P.update(),C.melt(P),a.visProp.scalable&&(b=n.distance(h,l)/n.distance(c,d),_=this.create("transform",[-p[1],-p[2]],{type:"translate"}),S=this.create("transform",[b,b],{type:"scale"}),E=this.create("transform",[p[1],p[2]],{type:"translate"}),C.melt(_).melt(S).melt(E)),a.elementClass===e.OBJECT_CLASS_LINE)x=[],a.point1.draggable()&&x.push(a.point1),a.point2.draggable()&&x.push(a.point2),C.applyOnce(x);else if(a.type===e.OBJECT_TYPE_POLYGON){for(x=[],O=a.vertices.length-1,w=0;O>w;++w)a.vertices[w].draggable()&&x.push(a.vertices[w]);C.applyOnce(x)}this.update(),a.highlight(!0)}},twoFingerTouchCircle:function(t,r,s,o){var a,h,l,c,d,p,f,m,g,b,v;"pointCircle"!==o.method&&"pointLine"!==o.method&&u.exists(s.targets[0])&&u.exists(s.targets[1])&&!isNaN(s.targets[0].Xprev+s.targets[0].Yprev+s.targets[1].Xprev+s.targets[1].Yprev)&&(a=t.usrCoords,h=r.usrCoords,l=new i(e.COORDS_BY_SCREEN,[s.targets[0].Xprev,s.targets[0].Yprev],this).usrCoords,c=new i(e.COORDS_BY_SCREEN,[s.targets[1].Xprev,s.targets[1].Yprev],this).usrCoords,f=this.create("transform",[a[1]-l[1],a[2]-l[2]],{type:"translate"}),p=n.rad(c.slice(1),a.slice(1),h.slice(1)),m=this.create("transform",[-a[1],-a[2]],{type:"translate"}),g=this.create("transform",[p],{type:"rotate"}),f.melt(m).melt(g),o.visProp.scalable&&(d=n.distance(a,h)/n.distance(l,c),b=this.create("transform",[d,d],{type:"scale"}),f.melt(b)),v=this.create("transform",[a[1],a[2]],{type:"translate"}),f.melt(v),o.center.draggable()&&f.applyOnce([o.center]),"twoPoints"===o.method?o.point2.draggable()&&f.applyOnce([o.point2]):"pointRadius"===o.method&&u.isNumber(o.updateRadius.origin)&&o.setRadius(o.radius*d),this.update(o.center),o.highlight(!0))},highlightElements:function(t,e,i,r){var s,o,n,a={},h=this.objectsList.length;for(s=0;h>s;s++)o=this.objectsList[s],n=o.id,u.exists(o.hasPoint)&&o.visProp.visible&&o.hasPoint(t,e)&&(this.updateInfobox(o),u.exists(this.highlightedObjects[n])||(a[n]=o,o.highlight(),this.triggerEventHandlers(["mousehit","hit"],[i,o,r])),o.mouseover?o.triggerEventHandlers(["mousemove","move"],[i]):(o.triggerEventHandlers(["mouseover","over"],[i]),o.mouseover=!0));for(s=0;h>s;s++)o=this.objectsList[s],n=o.id,o.mouseover&&(a[n]||(o.triggerEventHandlers(["mouseout","out"],[i]),o.mouseover=!1))},saveStartPos:function(i,r){var s,o,n=[];if(i.type===e.OBJECT_TYPE_TICKS)n.push([1,NaN,NaN]);else if(i.elementClass===e.OBJECT_CLASS_LINE)n.push(i.point1.coords.usrCoords),n.push(i.point2.coords.usrCoords);else if(i.elementClass===e.OBJECT_CLASS_CIRCLE)n.push(i.center.coords.usrCoords),"twoPoints"===i.method&&n.push(i.point2.coords.usrCoords);else if(i.type===e.OBJECT_TYPE_POLYGON)for(o=i.vertices.length-1,s=0;o>s;s++)n.push(i.vertices[s].coords.usrCoords);else if(i.type===e.OBJECT_TYPE_SECTOR)n.push(i.point1.coords.usrCoords),n.push(i.point2.coords.usrCoords),n.push(i.point3.coords.usrCoords);else if(u.isPoint(i)||i.type===e.OBJECT_TYPE_GLIDER)n.push(i.coords.usrCoords);else if(i.elementClass===e.OBJECT_CLASS_CURVE){if(t.exists(i.parents))for(o=i.parents.length,s=0;o>s;s++)n.push(this.select(i.parents[s]).coords.usrCoords)}else try{n.push(i.coords.usrCoords)}catch(a){t.debug("JSXGraph+ saveStartPos: obj.coords.usrCoords not available: "+a)}for(o=n.length,s=0;o>s;s++)r.Zstart.push(n[s][0]),r.Xstart.push(n[s][1]),r.Ystart.push(n[s][2])},mouseOriginMoveStart:function(t){var e,i=this.attr.pan.enabled&&(!this.attr.pan.needshift||t.shiftKey);return i&&(e=this.getMousePosition(t),this.initMoveOrigin(e[0],e[1])),i},mouseOriginMove:function(t){var e,i=this.mode===this.BOARD_MODE_MOVE_ORIGIN;return i&&(e=this.getMousePosition(t),this.moveOrigin(e[0],e[1],!0)),i},touchOriginMoveStart:function(e){var i,r=e[t.touchProperty],s=2===r.length&&n.distance([r[0].screenX,r[0].screenY],[r[1].screenX,r[1].screenY])<120,o=this.attr.pan.enabled&&(!this.attr.pan.needtwofingers||s);return o&&(i=this.getMousePosition(e,0),this.initMoveOrigin(i[0],i[1])),o},touchOriginMove:function(t){var e,i=this.mode===this.BOARD_MODE_MOVE_ORIGIN;return i&&(e=this.getMousePosition(t,0),this.moveOrigin(e[0],e[1],!0)),i},originMoveEnd:function(){this.updateQuality=this.BOARD_QUALITY_HIGH,this.mode=this.BOARD_MODE_NONE},addEventHandlers:function(){f.supportsPointerEvents()?this.addPointerEventHandlers():(this.addMouseEventHandlers(),
this.addTouchEventHandlers())},addPointerEventHandlers:function(){!this.hasPointerHandlers&&f.isBrowser&&(window.navigator.pointerEnabled?(f.addEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),f.addEvent(this.containerObj,"pointermove",this.pointerMoveListener,this)):(f.addEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),f.addEvent(this.containerObj,"MSPointerMove",this.pointerMoveListener,this)),f.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),f.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasPointerHandlers=!0)},addMouseEventHandlers:function(){!this.hasMouseHandlers&&f.isBrowser&&(f.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this),f.addEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),f.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),f.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!0,null!==this.containerObj&&(this.containerObj.oncontextmenu=function(t){return u.exists(t)&&t.preventDefault(),!1}))},addTouchEventHandlers:function(t){!this.hasTouchHandlers&&f.isBrowser&&(f.addEvent(this.containerObj,"touchstart",this.touchStartListener,this),f.addEvent(this.containerObj,"touchmove",this.touchMoveListener,this),(!u.exists(t)||t)&&(f.addEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),f.addEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this),this.hasGestureHandlers=!0),this.hasTouchHandlers=!0)},removePointerEventHandlers:function(){this.hasPointerHandlers&&f.isBrowser&&(window.navigator.pointerEnabled?(f.removeEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),f.removeEvent(this.containerObj,"pointermove",this.pointerMoveListener,this)):(f.removeEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),f.removeEvent(this.containerObj,"MSPointerMove",this.pointerMoveListener,this)),f.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),f.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasPointerUp&&(window.navigator.pointerEnabled?f.removeEvent(this.document,"pointerup",this.pointerUpListener,this):f.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this),this.hasPointerUp=!1),this.hasPointerHandlers=!1)},removeMouseEventHandlers:function(){this.hasMouseHandlers&&f.isBrowser&&(f.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),f.removeEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),this.hasMouseUp&&(f.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),f.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),f.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!1)},removeTouchEventHandlers:function(){this.hasTouchHandlers&&f.isBrowser&&(f.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),f.removeEvent(this.containerObj,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(f.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.hasGestureHandlers&&(f.removeEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),f.removeEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this),this.hasGestureHandlers=!1),this.hasTouchHandlers=!1)},removeEventHandlers:function(){this.removeMouseEventHandlers(),this.removeTouchEventHandlers(),this.removePointerEventHandlers()},clickLeftArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]+.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-.1*this.canvasWidth,this.origin.scrCoords[2]),this},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-.1*this.canvasHeight),this},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+.1*this.canvasHeight),this},gestureChangeListener:function(t){var r,s,o=this.attr.zoom.factorx,a=this.attr.zoom.factory;return this.attr.zoom.wheel?(t.preventDefault(),this.mode===this.BOARD_MODE_ZOOM&&(r=new i(e.COORDS_BY_SCREEN,this.getMousePosition(t,0),this),void 0===t.scale&&(s=n.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2),t.scale=s/this.prevDist),this.attr.zoom.factorx=t.scale/this.prevScale,this.attr.zoom.factory=t.scale/this.prevScale,this.zoomIn(r.usrCoords[1],r.usrCoords[2]),this.prevScale=t.scale,this.attr.zoom.factorx=o,this.attr.zoom.factory=a),!1):!0},gestureStartListener:function(t){return this.attr.zoom.wheel?(t.preventDefault(),this.prevScale=1,void 0===t.scale&&(this.prevDist=n.distance([t.touches[0].clientX,t.touches[0].clientY],[t.touches[1].clientX,t.touches[1].clientY],2)),this.mode===this.BOARD_MODE_NONE&&(this.mode=this.BOARD_MODE_ZOOM),!1):!0},pointerDownListener:function(e,i){var r,s,o,n,a,h,l,c,d,p=this.options.precision.touch;if(this.hasPointerUp||(window.navigator.pointerEnabled?f.addEvent(this.document,"pointerup",this.pointerUpListener,this):f.addEvent(this.document,"MSPointerUp",this.pointerUpListener,this),this.hasPointerUp=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.hasTouchHandlers&&this.removeTouchEventHandlers(),this.document.selection&&u.isFunction(this.document.selection.empty))this.document.selection.empty();else if(window.getSelection&&(h=window.getSelection(),h.removeAllRanges))try{h.removeAllRanges()}catch(m){}if(t.isBrowser&&window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1&&(this.options.precision.hasPoint=p),n=this.getMousePosition(e),this._testForSelection(e),this.selectingMode)return this._startSelecting(n),void this.triggerEventHandlers(["touchstartselecting","pointerstartselecting","startselecting"],[e]);if(i?(a=[i],this.mode=this.BOARD_MODE_DRAG):a=this.initMoveObject(n[0],n[1],e,"mouse"),a.length>0){for(c=a[a.length-1],l=!1,r=0;r<this.touches.length;r++)if(this.touches[r].obj===c){s=r,o=this.touches[r].targets.push({num:e.pointerId,X:n[0],Y:n[1],Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]})-1,l=!0;break}l||(o=0,s=this.touches.push({obj:c,targets:[{num:e.pointerId,X:n[0],Y:n[1],Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}]})-1),this.dehighlightAll(),c.highlight(!0),this.saveStartPos(c,this.touches[s].targets[o]),e&&e.preventDefault?e.preventDefault():window.event&&(window.event.returnValue=!1)}return this.touches.length>0&&(e.preventDefault(),e.stopPropagation()),this.mode===this.BOARD_MODE_NONE&&this.mouseOriginMoveStart(e)?(this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[e]),!1):(this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down","pointerdown","MSPointerDown"],[e]),d)},pointerMoveListener:function(e){var i,r,s;if(this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.renderer.hide(this.infobox)),this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation()),t.isBrowser&&window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1&&(this.options.precision.hasPoint=this.options.precision.touch),this.updateQuality=this.BOARD_QUALITY_LOW,this.selectingMode)s=this.getMousePosition(e),this._moveSelecting(s),this.triggerEventHandlers(["touchmoveselecting","moveselecting","pointermoveselecting"],[e,this.mode]);else if(!this.mouseOriginMove(e))if(this.mode===this.BOARD_MODE_DRAG){for(i=0;i<this.touches.length;i++)for(r=0;r<this.touches[i].targets.length;r++)if(this.touches[i].targets[r].num===e.pointerId){1===this.touches[i].targets.length?(this.touches[i].targets[r].X=e.pageX,this.touches[i].targets[r].Y=e.pageY,s=this.getMousePosition(e),this.moveObject(s[0],s[1],this.touches[i],e,"touch")):2===this.touches[i].targets.length&&this.touches[i].targets[0].num>-1&&this.touches[i].targets[1].num>-1&&(this.touches[i].targets[r].X=e.pageX,this.touches[i].targets[r].Y=e.pageY,this.twoFingerMove(this.getMousePosition({pageX:this.touches[i].targets[0].X,pageY:this.touches[i].targets[0].Y}),this.getMousePosition({pageX:this.touches[i].targets[1].X,pageY:this.touches[i].targets[1].Y}),this.touches[i],e));break}}else s=this.getMousePosition(e),this.highlightElements(s[0],s[1],e,-1);return this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchmove","move","pointermove","MSPointerMove"],[e,this.mode]),this.mode===this.BOARD_MODE_NONE},pointerUpListener:function(t){var e,i,r;if(this.triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.renderer.hide(this.infobox),t)for(e=0;e<this.touches.length;e++)for(i=0;i<this.touches[e].targets.length;i++)if(this.touches[e].targets[i].num===t.pointerId){this.touches[e].targets.splice(i,1),0===this.touches[e].targets.length&&this.touches.splice(e,1);break}if(this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["touchstopselecting","pointerstopselecting","stopselecting"],[t]);else for(e=this.downObjects.length-1;e>-1;e--){for(r=!1,i=0;i<this.touches.length;i++)this.touches[i].obj.id===this.downObjects[e].id&&(r=!0);r||(this.downObjects[e].triggerEventHandlers(["touchend","up","pointerup","MSPointerUp"],[t]),this.downObjects[e].snapToGrid(),this.downObjects[e].snapToPoints(),this.downObjects.splice(e,1))}return 0===this.touches.length&&(this.hasPointerUp&&(window.navigator.pointerEnabled?f.removeEvent(this.document,"pointerup",this.pointerUpListener,this):f.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this),this.hasPointerUp=!1),this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),this.update()),!0},touchStartListener:function(i){var s,o,n,a,h,l,c,d,p,m=this.options.precision.touch,g=i[t.touchProperty];for(this.hasTouchEnd||(f.addEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.document.selection&&u.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this.options.precision.hasPoint=this.options.precision.touch,s=0;s<g.length;s++)g[s].jxg_isused=!1;for(s=0;s<this.touches.length;s++)for(a=0;a<this.touches[s].targets.length;a++){this.touches[s].targets[a].num=-1,m=this.options.precision.touch;do{for(h=0;h<g.length;h++)if(Math.abs(Math.pow(g[h].screenX-this.touches[s].targets[a].X,2)+Math.pow(g[h].screenY-this.touches[s].targets[a].Y,2))<m*m){this.touches[s].targets[a].num=h,this.touches[s].targets[a].X=g[h].screenX,this.touches[s].targets[a].Y=g[h].screenY,g[h].jxg_isused=!0;break}m*=2}while(-1===this.touches[s].targets[a].num&&m<this.options.precision.touchMax);-1===this.touches[s].targets[a].num&&(t.debug("i couldn't find a targettouches for target no "+a+" on "+this.touches[s].obj.name+" ("+this.touches[s].obj.id+"). Removed the target."),t.debug("eps = "+m+", touchMax = "+r.precision.touchMax),this.touches[s].targets.splice(s,1))}for(s=0;s<g.length;s++)if(!g[s].jxg_isused){if(o=this.getMousePosition(i,s),this.selectingMode)return this._startSelecting(o),this.triggerEventHandlers(["touchstartselecting","startselecting"],[i]),i.preventDefault(),i.stopPropagation(),this.options.precision.hasPoint=this.options.precision.mouse,this.touches.length>0;if(n=this.initMoveObject(o[0],o[1],i,"touch"),0!==n.length)if(l=n[n.length-1],u.isPoint(l)||l.elementClass===e.OBJECT_CLASS_TEXT||l.type===e.OBJECT_TYPE_TICKS||l.type===e.OBJECT_TYPE_IMAGE)d=[{num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(l,d[0]),this.touches.push({obj:l,targets:d}),l.highlight(!0);else if(l.elementClass===e.OBJECT_CLASS_LINE||l.elementClass===e.OBJECT_CLASS_CIRCLE||l.elementClass===e.OBJECT_CLASS_CURVE||l.type===e.OBJECT_TYPE_POLYGON){for(c=!1,a=0;a<this.touches.length;a++)l.id===this.touches[a].obj.id&&(c=!0,1===this.touches[a].targets.length&&(p={num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]},this.saveStartPos(l,p),this.touches[a].targets.push(p)),g[s].jxg_isused=!0);c||(d=[{num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:NaN,Yprev:NaN,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(l,d[0]),this.touches.push({obj:l,targets:d}),l.highlight(!0))}g[s].jxg_isused=!0}return this.touches.length>0&&(i.preventDefault(),i.stopPropagation()),this.mode===this.BOARD_MODE_NONE&&this.touchOriginMoveStart(i)?(this.triggerEventHandlers(["touchstart","down"],[i]),!1):(this.mode===this.BOARD_MODE_NONE&&2==g.length&&(this.gestureStartListener(i),this.hasGestureHandlers=!0),this.options.precision.hasPoint=this.options.precision.mouse,this.triggerEventHandlers(["touchstart","down"],[i]),this.touches.length>0)},touchMoveListener:function(e){var i,r,s,o=e[t.touchProperty];if(this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation()),this.mode!==this.BOARD_MODE_DRAG&&this.renderer.hide(this.infobox),this.options.precision.hasPoint=this.options.precision.touch,this.updateQuality=this.BOARD_QUALITY_LOW,this.selectingMode){for(i=0;i<o.length;i++)if(!o[i].jxg_isused){r=this.getMousePosition(e,i),this._moveSelecting(r),this.triggerEventHandlers(["touchmoves","moveselecting"],[e,this.mode]);break}}else if(!this.touchOriginMove(e))if(this.mode===this.BOARD_MODE_DRAG){for(i=0;i<this.touches.length;i++)if(1===this.touches[i].targets.length){if(o[this.touches[i].targets[0].num]){if(r=this.getMousePosition(e,this.touches[i].targets[0].num),r[0]<0||r[0]>this.canvasWidth||r[1]<0||r[1]>this.canvasHeight)return;this.touches[i].targets[0].X=o[this.touches[i].targets[0].num].screenX,this.touches[i].targets[0].Y=o[this.touches[i].targets[0].num].screenY,this.moveObject(r[0],r[1],this.touches[i],e,"touch")}}else if(2===this.touches[i].targets.length&&this.touches[i].targets[0].num>-1&&this.touches[i].targets[1].num>-1&&o[this.touches[i].targets[0].num]&&o[this.touches[i].targets[1].num]){if(r=this.getMousePosition(e,this.touches[i].targets[0].num),s=this.getMousePosition(e,this.touches[i].targets[1].num),r[0]<0||r[0]>this.canvasWidth||r[1]<0||r[1]>this.canvasHeight||s[0]<0||s[0]>this.canvasWidth||s[1]<0||s[1]>this.canvasHeight)return;this.touches[i].targets[0].X=o[this.touches[i].targets[0].num].screenX,this.touches[i].targets[0].Y=o[this.touches[i].targets[0].num].screenY,this.touches[i].targets[1].X=o[this.touches[i].targets[1].num].screenX,this.touches[i].targets[1].Y=o[this.touches[i].targets[1].num].screenY,this.twoFingerMove(r,s,this.touches[i],e)}}else 2==o.length&&this.gestureChangeListener(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(i){var r,s,o,n,a,h=this.options.precision.touch,l=[],c=i&&i[t.touchProperty];if(this.triggerEventHandlers(["touchend","up"],[i]),this.renderer.hide(this.infobox),this.selectingMode)this._stopSelecting(i),this.triggerEventHandlers(["touchstopselecting","stopselecting"],[i]);else if(c&&c.length>0){for(r=0;r<this.touches.length;r++)l[r]=this.touches[r];for(this.touches.length=0,r=0;r<c.length;r++)c[r].jxg_isused=!1;for(r=0;r<l.length;r++){for(n=!1,a=0,s=0;s<l[r].targets.length;s++)for(l[r].targets[s].found=!1,o=0;o<c.length;o++)if(Math.abs(Math.pow(c[o].screenX-l[r].targets[s].X,2)+Math.pow(c[o].screenY-l[r].targets[s].Y,2))<h*h){l[r].targets[s].found=!0,l[r].targets[s].num=o,l[r].targets[s].X=c[o].screenX,l[r].targets[s].Y=c[o].screenY,a+=1;break}if(u.isPoint(l[r].obj)?n=l[r].targets[0]&&l[r].targets[0].found:l[r].obj.elementClass===e.OBJECT_CLASS_LINE?n=l[r].targets[0]&&l[r].targets[0].found||l[r].targets[1]&&l[r].targets[1].found:l[r].obj.elementClass===e.OBJECT_CLASS_CIRCLE&&(n=1===a||3===a),n)for(this.touches.push({obj:l[r].obj,targets:[]}),s=0;s<l[r].targets.length;s++)l[r].targets[s].found&&this.touches[this.touches.length-1].targets.push({num:l[r].targets[s].num,X:l[r].targets[s].screenX,Y:l[r].targets[s].screenY,Xprev:NaN,Yprev:NaN,Xstart:l[r].targets[s].Xstart,Ystart:l[r].targets[s].Ystart,Zstart:l[r].targets[s].Zstart});else l[r].obj.noHighlight()}}else this.touches.length=0;for(r=this.downObjects.length-1;r>-1;r--){for(n=!1,s=0;s<this.touches.length;s++)this.touches[s].obj.id===this.downObjects[r].id&&(n=!0);n||(this.downObjects[r].triggerEventHandlers(["touchup","up"],[i]),this.downObjects[r].snapToGrid(),this.downObjects[r].snapToPoints(),this.downObjects.splice(r,1))}return c&&0!==c.length||(this.hasTouchEnd&&(f.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.dehighlightAll(),this.updateQuality=this.BOARD_QUALITY_HIGH,this.originMoveEnd(),this.update()),!0},mouseDownListener:function(t){var e,i,r;return this.document.selection&&u.isFunction(this.document.selection.empty)?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this.hasMouseUp?void 0:(f.addEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!0,e=this.getMousePosition(t),this._testForSelection(t),this.selectingMode?(this._startSelecting(e),void this.triggerEventHandlers(["mousestartselecting","startselecting"],[t])):(i=this.initMoveObject(e[0],e[1],t,"mouse"),0===i.length?(this.mode=this.BOARD_MODE_NONE,r=!0):(this.mouse={obj:null,targets:[{X:e[0],Y:e[1],Xprev:NaN,Yprev:NaN}]},this.mouse.obj=i[i.length-1],this.dehighlightAll(),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]),t&&t.preventDefault?t.preventDefault():window.event&&(window.event.returnValue=!1)),this.mode===this.BOARD_MODE_NONE&&(r=this.mouseOriginMoveStart(t)),this.triggerEventHandlers(["mousedown","down"],[t]),r))},mouseMoveListener:function(t){var e;e=this.getMousePosition(t),this.updateQuality=this.BOARD_QUALITY_LOW,this.mode!==this.BOARD_MODE_DRAG&&(this.dehighlightAll(),this.renderer.hide(this.infobox)),this.selectingMode?(this._moveSelecting(e),this.triggerEventHandlers(["mousemoveselecting","moveselecting"],[t,this.mode])):this.mouseOriginMove(t)||(this.mode===this.BOARD_MODE_DRAG?this.moveObject(e[0],e[1],this.mouse,t,"mouse"):this.highlightElements(e[0],e[1],t,-1),this.triggerEventHandlers(["mousemove","move"],[t,this.mode])),this.updateQuality=this.BOARD_QUALITY_HIGH},mouseUpListener:function(t){var e;if(this.selectingMode===!1&&this.triggerEventHandlers(["mouseup","up"],[t]),this.updateQuality=this.BOARD_QUALITY_HIGH,this.mouse&&this.mouse.obj&&(this.mouse.obj.snapToGrid(this.mouse.targets[0]),this.mouse.obj.snapToPoints()),this.originMoveEnd(),this.dehighlightAll(),this.update(),this.selectingMode)this._stopSelecting(t),this.triggerEventHandlers(["mousestopselecting","stopselecting"],[t]);else for(e=0;e<this.downObjects.length;e++)this.downObjects[e].triggerEventHandlers(["mouseup","up"],[t]);this.downObjects.length=0,this.hasMouseUp&&(f.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.mouse=null},mouseWheelListener:function(t){if(!this.attr.zoom.wheel||this.attr.zoom.needshift&&!t.shiftKey)return!0;t=t||window.event;var r=t.detail?-t.detail:t.wheelDelta/40,s=new i(e.COORDS_BY_SCREEN,this.getMousePosition(t),this);return r>0?this.zoomIn(s.usrCoords[1],s.usrCoords[2]):this.zoomOut(s.usrCoords[1],s.usrCoords[2]),this.triggerEventHandlers(["mousewheel"],[t]),t.preventDefault(),!1},updateInfobox:function(t){var e,i,r,s;return t.visProp.showinfobox?(u.isPoint(t)&&(r=t.coords.usrCoords[1],s=t.coords.usrCoords[2],this.infobox.setCoords(r+this.infobox.distanceX/this.unitX,s+this.infobox.distanceY/this.unitY),"string"!=typeof t.infoboxText?("auto"===t.visProp.infoboxdigits?(e=u.autoDigits(r),i=u.autoDigits(s)):u.isNumber(t.visProp.infoboxdigits)?(e=r.toFixed(t.visProp.infoboxdigits),i=s.toFixed(t.visProp.infoboxdigits)):(e=r,i=s),this.highlightInfobox(e,i,t)):this.highlightCustomInfobox(t.infoboxText,t),this.renderer.show(this.infobox)),this):this},highlightCustomInfobox:function(t,e){return this.infobox.setText(t),this},highlightInfobox:function(t,e,i){return this.highlightCustomInfobox("("+t+", "+e+")",i),this},dehighlightAll:function(){var t,e,i=!1;for(t in this.highlightedObjects)this.highlightedObjects.hasOwnProperty(t)&&(e=this.highlightedObjects[t],(this.hasMouseHandlers||this.hasPointerHandlers)&&e.noHighlight(),i=!0);return this.highlightedObjects={},"canvas"===this.renderer.type&&i&&(this.prepareUpdate(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw()),this},getScrCoordsOfMouse:function(t,e){return[t,e]},getUsrCoordsOfMouse:function(t){var r=this.getCoordsTopLeftCorner(),s=f.getPosition(t,null,this.document),o=s[0]-r[0],n=s[1]-r[1],a=new i(e.COORDS_BY_SCREEN,[o,n],this);return a.usrCoords.slice(1)},getAllUnderMouse:function(t){var e=this.getAllObjectsUnderMouse(t);return e.push(this.getUsrCoordsOfMouse(t)),e},getAllObjectsUnderMouse:function(t){var e,i,r=this.getCoordsTopLeftCorner(),s=f.getPosition(t,null,this.document),o=s[0]-r[0],n=s[1]-r[1],a=[],h=this.objectsList.length;for(e=0;h>e;e++)i=this.objectsList[e],i.visProp.visible&&i.hasPoint&&i.hasPoint(o,n)&&(a[a.length]=i);return a},updateCoords:function(){var t,e,i=this.objectsList.length;for(e=0;i>e;e++)t=this.objectsList[e],u.exists(t.coords)&&(t.visProp.frozen?t.coords.screen2usr():t.coords.usr2screen());return this},moveOrigin:function(t,e,i){return u.exists(t)&&u.exists(e)&&(this.origin.scrCoords[1]=t,this.origin.scrCoords[2]=e,i&&(this.origin.scrCoords[1]-=this.drag_dx,this.origin.scrCoords[2]-=this.drag_dy)),this.updateCoords().clearTraces().fullUpdate(),this.triggerEventHandlers(["boundingbox"]),this},addConditions:function(i){var r,s,o,n,a,h,l,c=[],p="var el, x, y, c, rgbo;\n",f=i.indexOf("<data>"),m=i.indexOf("</data>"),g=function(t,i,r,s){return function(){var o,n;o=t.select(i.id),n=o.coords.usrCoords[s],2===s?o.setPositionDirectly(e.COORDS_BY_USER,[r(),n]):o.setPositionDirectly(e.COORDS_BY_USER,[n,r()]),o.prepareUpdate().update()}},b=function(t,e,i){return function(){var r,s;r=t.select(e.id),s=i(),r.setAttribute({visible:s})}},v=function(t,e,i,r){return function(){var s,o;s=t.select(e.id),o=i(),"strokewidth"===r?s.visProp.strokewidth=o:(o=d.rgba2rgbo(o),s.visProp[r+"color"]=o[0],s.visProp[r+"opacity"]=o[1])}},y=function(t,e,i){return function(){var r=t.select(e.id);r.position=i()}},C=function(t,e,i){return function(){var r=t.select(e.id);r.setStyle(i())}};if(!(0>f)){for(;f>=0;){if(r=i.slice(f+6,m),s=r.indexOf("="),o=r.slice(0,s),n=r.slice(s+1),s=o.indexOf("."),a=o.slice(0,s),h=this.elementsByName[u.unescapeHTML(a)],l=o.slice(s+1).replace(/\s+/g,"").toLowerCase(),n=u.createfunction(n,this,"",!0),u.exists(this.elementsByName[a]))switch(p+='el = this.objects["'+h.id+'"];\n',l){case"x":c.push(g(this,h,n,2));break;case"y":c.push(g(this,h,n,1));break;case"visible":c.push(b(this,h,n));break;case"position":c.push(y(this,h,n));break;case"stroke":c.push(v(this,h,n,"stroke"));break;case"style":c.push(C(this,h,n));break;case"strokewidth":c.push(v(this,h,n,"strokewidth"));break;case"fill":c.push(v(this,h,n,"fill"));break;case"label":break;default:t.debug("property '"+l+"' in conditions not yet implemented:"+n)}else t.debug("debug conditions: |"+a+"| undefined");i=i.slice(m+7),f=i.indexOf("<data>"),m=i.indexOf("</data>")}this.updateConditions=function(){var t;for(t=0;t<c.length;t++)c[t]();return this.prepareUpdate().updateElements(),!0},this.updateConditions()}},updateConditions:function(){return!1},calculateSnapSizes:function(){var t=new i(e.COORDS_BY_USER,[0,0],this),r=new i(e.COORDS_BY_USER,[this.options.grid.gridX,this.options.grid.gridY],this),s=t.scrCoords[1]-r.scrCoords[1],o=t.scrCoords[2]-r.scrCoords[2];for(this.options.grid.snapSizeX=this.options.grid.gridX;Math.abs(s)>25;)this.options.grid.snapSizeX*=2,s/=2;for(this.options.grid.snapSizeY=this.options.grid.gridY;Math.abs(o)>25;)this.options.grid.snapSizeY*=2,o/=2;return this},applyZoom:function(){return this.updateCoords().calculateSnapSizes().clearTraces().fullUpdate(),this},zoomIn:function(t,e){var i=this.getBoundingBox(),r=this.attr.zoom.factorx,s=this.attr.zoom.factory,o=(i[2]-i[0])*(1-1/r),n=(i[1]-i[3])*(1-1/s),a=.5,h=.5;return this.zoomX>this.attr.zoom.max||this.zoomY>this.attr.zoom.max?this:(u.isNumber(t)&&u.isNumber(e)&&(a=(t-i[0])/(i[2]-i[0]),h=(i[1]-e)/(i[1]-i[3])),this.setBoundingBox([i[0]+o*a,i[1]-n*h,i[2]-o*(1-a),i[3]+n*(1-h)],!1),this.zoomX*=r,this.zoomY*=s,this.applyZoom())},zoomOut:function(t,e){var i=this.getBoundingBox(),r=this.attr.zoom.factorx,s=this.attr.zoom.factory,o=(i[2]-i[0])*(1-r),n=(i[1]-i[3])*(1-s),a=.5,h=.5,l=this.attr.zoom.eps||this.attr.zoom.min||.001;return this.zoomX<l||this.zoomY<l?this:(u.isNumber(t)&&u.isNumber(e)&&(a=(t-i[0])/(i[2]-i[0]),h=(i[1]-e)/(i[1]-i[3])),this.setBoundingBox([i[0]+o*a,i[1]-n*h,i[2]-o*(1-a),i[3]+n*(1-h)],!1),this.zoomX/=r,this.zoomY/=s,this.applyZoom())},zoom100:function(){var t=this.getBoundingBox(),e=(t[2]-t[0])*(1-this.zoomX)*.5,i=(t[1]-t[3])*(1-this.zoomY)*.5;return this.setBoundingBox([t[0]+e,t[1]-i,t[2]-e,t[3]+i],!1),this.zoomX=1,this.zoomY=1,this.applyZoom()},zoomAllPoints:function(){var t,e,i,r,s,o=0,n=0,a=0,h=0,l=this.objectsList.length;for(t=0;l>t;t++)s=this.objectsList[t],u.isPoint(s)&&s.visProp.visible&&(s.coords.usrCoords[1]<o?o=s.coords.usrCoords[1]:s.coords.usrCoords[1]>n&&(n=s.coords.usrCoords[1]),s.coords.usrCoords[2]>h?h=s.coords.usrCoords[2]:s.coords.usrCoords[2]<a&&(a=s.coords.usrCoords[2]));return e=50,i=e/this.unitX,r=e/this.unitY,this.zoomX=1,this.zoomY=1,this.setBoundingBox([o-i,h+r,n+i,a-r],!0),this.applyZoom()},zoomElements:function(t){var e,i,r,s,o=[0,0,0,0],n=[1,-1,-1,1];if(!u.isArray(t)||0===t.length)return this;for(e=0;e<t.length;e++)if(r=this.select(t[e]),s=r.bounds(),u.isArray(s))if(u.isArray(o))for(i=0;4>i;i++)n[i]*s[i]<n[i]*o[i]&&(o[i]=s[i]);else o=s;if(u.isArray(o)){for(i=0;4>i;i++)o[i]-=n[i];this.zoomX=1,this.zoomY=1,this.setBoundingBox(o,!0)}return this},setZoom:function(t,e){var i=this.attr.zoom.factorx,r=this.attr.zoom.factory;return this.attr.zoom.factorx=t/this.zoomX,this.attr.zoom.factory=e/this.zoomY,this.zoomIn(),this.attr.zoom.factorx=i,this.attr.zoom.factory=r,this},removeObject:function(i){var r,s;if(u.isArray(i)){for(s=0;s<i.length;s++)this.removeObject(i[s]);return this}if(i=this.select(i),!u.exists(i)||u.isString(i))return this;try{for(r in i.childElements)i.childElements.hasOwnProperty(r)&&i.childElements[r].board.removeObject(i.childElements[r]);for(r in i.objects)i.objects.hasOwnProperty(r)&&i.objects[r].board.removeObject(i.objects[r]);for(r in this.objects)this.objects.hasOwnProperty(r)&&u.exists(this.objects[r].childElements)&&(delete this.objects[r].childElements[i.id],delete this.objects[r].descendants[i.id]);if(i._pos>-1)for(this.objectsList.splice(i._pos,1),r=i._pos;r<this.objectsList.length;r++)this.objectsList[r]._pos--;else i.type!==e.OBJECT_TYPE_TURTLE&&t.debug("Board.removeObject: object "+i.id+" not found in list.");delete this.objects[i.id],delete this.elementsByName[i.name],i.visProp&&i.visProp.trace&&i.clearTrace(),u.exists(i.remove)&&i.remove()}catch(o){t.debug(i.id+": Could not be removed: "+o)}return this.update(),this},removeAncestors:function(t){var e;for(e in t.ancestors)t.ancestors.hasOwnProperty(e)&&this.removeAncestors(t.ancestors[e]);return this.removeObject(t),this},initGeonextBoard:function(){var t,e,i;return t=this.create("point",[0,0],{id:this.id+"g00e0",name:"Ursprung",withLabel:!1,visible:!1,fixed:!0}),e=this.create("point",[1,0],{id:this.id+"gX0e0",name:"Punkt_1_0",withLabel:!1,visible:!1,fixed:!0}),i=this.create("point",[0,1],{id:this.id+"gY0e0",name:"Punkt_0_1",withLabel:!1,visible:!1,fixed:!0}),this.create("line",[t,e],{id:this.id+"gXLe0",name:"X-Achse",withLabel:!1,visible:!1}),this.create("line",[t,i],{id:this.id+"gYLe0",name:"Y-Achse",withLabel:!1,visible:!1}),this},initInfobox:function(){var t=u.copyAttributes({},this.options,"infobox");return t.id=this.id+"_infobox",this.infobox=this.create("text",[0,0,"0,0"],t),this.infobox.distanceX=-20,this.infobox.distanceY=25,this.infobox.dump=!1,this.renderer.hide(this.infobox),this},resizeContainer:function(t,e,i,r){var s;return r||(s=this.getBoundingBox()),this.canvasWidth=parseInt(t,10),this.canvasHeight=parseInt(e,10),i||(this.containerObj.style.width=this.canvasWidth+"px",this.containerObj.style.height=this.canvasHeight+"px"),this.renderer.resize(this.canvasWidth,this.canvasHeight),r||this.setBoundingBox(s,this.keepaspectratio),this},showDependencies:function(){var t,e,i,r,s;e="<p>\n";for(t in this.objects)if(this.objects.hasOwnProperty(t)){s=0;for(i in this.objects[t].childElements)this.objects[t].childElements.hasOwnProperty(i)&&(s+=1);s>=0&&(e+="<strong>"+this.objects[t].id+":</strong> ");for(i in this.objects[t].childElements)this.objects[t].childElements.hasOwnProperty(i)&&(e+=this.objects[t].childElements[i].id+"("+this.objects[t].childElements[i].name+"), ");e+="<p>\n"}return e+="</p>\n",r=window.open(),r.document.open(),r.document.write(e),r.document.close(),this},showXML:function(){var t=window.open("");return t.document.open(),t.document.write("<pre>"+u.escapeHTML(this.xmlString)+"</pre>"),t.document.close(),this},prepareUpdate:function(){var t,e,i=this.objectsList.length;for(t=0;i>t;t++)e=this.objectsList[t],e.needsUpdate=e.needsRegularUpdate||this.needsFullUpdate;for(t in this.groups)this.groups.hasOwnProperty(t)&&(e=this.groups[t],e.needsUpdate=e.needsRegularUpdate||this.needsFullUpdate);return this},updateElements:function(t){var e,i;for(t=this.select(t),e=0;e<this.objectsList.length;e++)i=this.objectsList[e],i.update(!u.exists(t)||i.id!==t.id);for(e in this.groups)this.groups.hasOwnProperty(e)&&this.groups[e].update(t);return this},updateRenderer:function(){var t,e,i=this.objectsList.length;if("canvas"===this.renderer.type)this.updateRendererCanvas();else for(t=0;i>t;t++)e=this.objectsList[t],e.updateRenderer();return this},updateRendererCanvas:function(){var t,e,i,r,s,o=this.objectsList.length,n=this.options.layer,a=this.options.layer.numlayers,h=Number.NEGATIVE_INFINITY;for(i=0;a>i;i++){r=Number.POSITIVE_INFINITY;for(s in n)n.hasOwnProperty(s)&&n[s]>h&&n[s]<r&&(r=n[s]);for(h=r,t=0;o>t;t++)e=this.objectsList[t],e.visProp.layer===r&&e.prepareUpdate().updateRenderer()}return this},addHook:function(e,i,r){return t.deprecated("Board.addHook()","Board.on()"),i=u.def(i,"update"),r=u.def(r,this),this.hooks.push([i,e]),this.on(i,e,r),this.hooks.length-1},addEvent:t.shortcut(t.Board.prototype,"on"),removeHook:function(e){return t.deprecated("Board.removeHook()","Board.off()"),this.hooks[e]&&(this.off(this.hooks[e][0],this.hooks[e][1]),this.hooks[e]=null),this},removeEvent:t.shortcut(t.Board.prototype,"off"),updateHooks:function(e){var i=Array.prototype.slice.call(arguments,0);return 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e,i=t.plaintext;isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])||(e=t.coords.scrCoords[1],t.visPropOld.left!==t.visProp.anchorx+e&&(t.rendNode.setAttributeNS(null,"x",e+"px"),"left"===t.visProp.anchorx?t.rendNode.setAttributeNS(null,"text-anchor","start"):"right"===t.visProp.anchorx?t.rendNode.setAttributeNS(null,"text-anchor","end"):"middle"===t.visProp.anchorx&&t.rendNode.setAttributeNS(null,"text-anchor","middle"),t.visPropOld.left=t.visProp.anchorx+e),e=t.coords.scrCoords[2],t.visPropOld.top!==t.visProp.anchory+e&&(t.rendNode.setAttributeNS(null,"y",e+.5*this.vOffsetText+"px"),"bottom"===t.visProp.anchory?t.rendNode.setAttributeNS(null,"dominant-baseline","text-after-edge"):"top"===t.visProp.anchory?t.rendNode.setAttributeNS(null,"dominant-baseline","text-before-edge"):"middle"===t.visProp.anchory&&t.rendNode.setAttributeNS(null,"dominant-baseline","middle"),t.visPropOld.top=t.visProp.anchory+e)),t.htmlStr!==i&&(t.rendNodeText.data=i,t.htmlStr=i),this.transformImage(t,t.transformations)},updateInternalTextStyle:function(t,e,i){this.setObjectFillColor(t,e,i)},drawImage:function(t){var e=this.createPrim("image",t.id);e.setAttributeNS(null,"preserveAspectRatio","none"),this.appendChildPrim(e,t.visProp.layer),t.rendNode=e,this.updateImage(t)},transformImage:function(t,e){var i,r,s=t.rendNode,o="",n=e.length;n>0&&(r=this.joinTransforms(t,e),i=[r[1][1],r[2][1],r[1][2],r[2][2],r[1][0],r[2][0]].join(","),o+=" matrix("+i+") ",s.setAttributeNS(null,"transform",o))},updateImageURL:function(t){var e=s.evaluate(t.url);t.rendNode.setAttributeNS(this.xlinkNamespace,"xlink:href",e)},updateImageStyle:function(t,e){var i=e?t.visProp.highlightcssclass:t.visProp.cssclass;t.rendNode.setAttributeNS(null,"class",i)},appendChildPrim:function(t,i){return s.exists(i)?i>=e.layer.numlayers&&(i=e.layer.numlayers-1):i=0,this.layer[i].appendChild(t),t},createPrim:function(t,e){var i=this.container.ownerDocument.createElementNS(this.svgNamespace,t);return i.setAttributeNS(null,"id",this.container.id+"_"+e),i.style.position="absolute","path"===t&&(i.setAttributeNS(null,"stroke-linecap","round"),i.setAttributeNS(null,"stroke-linejoin","round")),i},remove:function(t){s.exists(t)&&s.exists(t.parentNode)&&t.parentNode.removeChild(t)},makeArrows:function(t){var e;return t.visPropOld.firstarrow===t.visProp.firstarrow&&t.visPropOld.lastarrow===t.visProp.lastarrow?void(this.isIE&&t.visProp.visible&&(t.visProp.firstarrow||t.visProp.lastarrow)&&t.rendNode.parentNode.insertBefore(t.rendNode,t.rendNode)):(t.visProp.firstarrow?(e=t.rendNodeTriangleStart,s.exists(e)?this.defs.appendChild(e):(e=this._createArrowHead(t,"End"),this.defs.appendChild(e),t.rendNodeTriangleStart=e,t.rendNode.setAttributeNS(null,"marker-start","url(#"+this.container.id+"_"+t.id+"TriangleEnd)"))):(e=t.rendNodeTriangleStart,s.exists(e)&&this.remove(e)),t.visProp.lastarrow?(e=t.rendNodeTriangleEnd,s.exists(e)?this.defs.appendChild(e):(e=this._createArrowHead(t,"Start"),this.defs.appendChild(e),t.rendNodeTriangleEnd=e,t.rendNode.setAttributeNS(null,"marker-end","url(#"+this.container.id+"_"+t.id+"TriangleStart)"))):(e=t.rendNodeTriangleEnd,s.exists(e)&&this.remove(e)),t.visPropOld.firstarrow=t.visProp.firstarrow,void(t.visPropOld.lastarrow=t.visProp.lastarrow))},updateEllipsePrim:function(t,e,i,r,s){var o=1e6;o=2e5,e=Math.abs(e)<o?e:o*e/Math.abs(e),i=Math.abs(i)<o?i:o*i/Math.abs(i),r=Math.abs(r)<o?r:o*r/Math.abs(r),s=Math.abs(s)<o?s:o*s/Math.abs(s),t.setAttributeNS(null,"cx",e),t.setAttributeNS(null,"cy",i),t.setAttributeNS(null,"rx",Math.abs(r)),t.setAttributeNS(null,"ry",Math.abs(s))},updateLinePrim:function(t,e,i,r,s){var o=1e6;o=2e5,isNaN(e+i+r+s)||(e=Math.abs(e)<o?e:o*e/Math.abs(e),i=Math.abs(i)<o?i:o*i/Math.abs(i),r=Math.abs(r)<o?r:o*r/Math.abs(r),s=Math.abs(s)<o?s:o*s/Math.abs(s),t.setAttributeNS(null,"x1",e),t.setAttributeNS(null,"y1",i),t.setAttributeNS(null,"x2",r),t.setAttributeNS(null,"y2",s))},updatePathPrim:function(t,e){""===e&&(e="M 0 0"),t.setAttributeNS(null,"d",e)},updatePathStringPoint:function(t,e,i){var r="",s=t.coords.scrCoords,o=e*Math.sqrt(3)*.5,n=.5*e;return"x"===i?r=" M "+(s[1]-e)+" "+(s[2]-e)+" L "+(s[1]+e)+" "+(s[2]+e)+" M "+(s[1]+e)+" "+(s[2]-e)+" L "+(s[1]-e)+" "+(s[2]+e):"+"===i?r=" M "+(s[1]-e)+" "+s[2]+" L "+(s[1]+e)+" "+s[2]+" M "+s[1]+" "+(s[2]-e)+" L "+s[1]+" "+(s[2]+e):"<>"===i?r=" M "+(s[1]-e)+" "+s[2]+" L "+s[1]+" "+(s[2]+e)+" L "+(s[1]+e)+" "+s[2]+" L "+s[1]+" "+(s[2]-e)+" Z ":"^"===i?r=" M "+s[1]+" "+(s[2]-e)+" L "+(s[1]-o)+" "+(s[2]+n)+" L "+(s[1]+o)+" "+(s[2]+n)+" Z ":"v"===i?r=" M "+s[1]+" "+(s[2]+e)+" L "+(s[1]-o)+" "+(s[2]-n)+" L "+(s[1]+o)+" "+(s[2]-n)+" Z ":">"===i?r=" M "+(s[1]+e)+" "+s[2]+" L "+(s[1]-n)+" "+(s[2]-o)+" L "+(s[1]-n)+" "+(s[2]+o)+" Z ":"<"===i&&(r=" M "+(s[1]-e)+" "+s[2]+" L "+(s[1]+n)+" "+(s[2]-o)+" L "+(s[1]+n)+" "+(s[2]+o)+" Z "),r},updatePathStringPrim:function(t){var e,i,r,s=" M ",o=" L ",n=" C ",a=s,h=5e3,l="";if(t.numberPoints<=0)return"";if(r=Math.min(t.points.length,t.numberPoints),1===t.bezierDegree)for(e=0;r>e;e++)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?a=s:(i[1]=Math.max(Math.min(i[1],h),-h),i[2]=Math.max(Math.min(i[2],h),-h),l+=a+i[1]+" "+i[2],a=o);else if(3===t.bezierDegree)for(e=0;r>e;)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?a=s:(l+=a+i[1]+" "+i[2],a===n&&(e+=1,i=t.points[e].scrCoords,l+=" "+i[1]+" "+i[2],e+=1,i=t.points[e].scrCoords,l+=" "+i[1]+" "+i[2]),a=n),e+=1;return l},updatePathStringBezierPrim:function(t){var e,i,r,s,o,n,a,l=" M ",c=" C ",d=l,u=5e3,p="",f=t.visProp.strokewidth,m="plot"!==t.visProp.curvetype;if(t.numberPoints<=0)return"";for(m&&t.board.options.curve.RDPsmoothing&&(t.points=h.RamerDouglasPeucker(t.points,.5)),a=Math.min(t.points.length,t.numberPoints),i=1;3>i;i++)for(d=l,e=0;a>e;e++)s=t.points[e].scrCoords,isNaN(s[1])||isNaN(s[2])?d=l:(s[1]=Math.max(Math.min(s[1],u),-u),s[2]=Math.max(Math.min(s[2],u),-u),d===l?p+=d+s[1]+" "+s[2]:(r=2*i,p+=[d,o+.333*(s[1]-o)+f*(r*Math.random()-i)," ",n+.333*(s[2]-n)+f*(r*Math.random()-i)," ",o+.666*(s[1]-o)+f*(r*Math.random()-i)," ",n+.666*(s[2]-n)+f*(r*Math.random()-i)," ",s[1]," ",s[2]].join("")),d=c,o=s[1],n=s[2]);return p},updatePolygonPrim:function(t,e){var i,r,s="",o=e.vertices.length;for(t.setAttributeNS(null,"stroke","none"),i=0;o-1>i;i++){if(!e.vertices[i].isReal)return void t.setAttributeNS(null,"points","");r=e.vertices[i].coords.scrCoords,s=s+r[1]+","+r[2],o-2>i&&(s+=" ")}-1===s.indexOf("NaN")&&t.setAttributeNS(null,"points",s)},updateRectPrim:function(t,e,i,r,s){t.setAttributeNS(null,"x",e),t.setAttributeNS(null,"y",i),t.setAttributeNS(null,"width",r),t.setAttributeNS(null,"height",s)},setPropertyPrim:function(t,e,i){"stroked"!==e&&t.setAttributeNS(null,e,i)},show:function(t){var e;t&&t.rendNode&&(e=t.rendNode,e.setAttributeNS(null,"display","inline"),e.style.visibility="inherit")},hide:function(t){var e;t&&t.rendNode&&(e=t.rendNode,e.setAttributeNS(null,"display","none"),e.style.visibility="hidden")},setBuffering:function(t,e){t.rendNode.setAttribute("buffered-rendering",e)},setDashStyle:function(t){var e=t.visProp.dash,i=t.rendNode;t.visProp.dash>0?i.setAttributeNS(null,"stroke-dasharray",this.dashArray[e-1]):i.hasAttributeNS(null,"stroke-dasharray")&&i.removeAttributeNS(null,"stroke-dasharray")},setGradient:function(t){var e,i,r,o,n,a,h,l,c,d=t.rendNode;i=s.evaluate(t.visProp.fillopacity),i=i>0?i:0,e=s.evaluate(t.visProp.fillcolor),"linear"===t.visProp.gradient?(r=this.createPrim("linearGradient",t.id+"_gradient"),a="0%",h="100%",l="0%",c="0%",r.setAttributeNS(null,"x1",a),r.setAttributeNS(null,"x2",h),r.setAttributeNS(null,"y1",l),r.setAttributeNS(null,"y2",c),o=this.createPrim("stop",t.id+"_gradient1"),o.setAttributeNS(null,"offset","0%"),o.setAttributeNS(null,"style","stop-color:"+e+";stop-opacity:"+i),n=this.createPrim("stop",t.id+"_gradient2"),n.setAttributeNS(null,"offset","100%"),n.setAttributeNS(null,"style","stop-color:"+t.visProp.gradientsecondcolor+";stop-opacity:"+t.visProp.gradientsecondopacity),r.appendChild(o),r.appendChild(n),this.defs.appendChild(r),d.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+t.id+"_gradient)"),t.gradNode1=o,t.gradNode2=n):"radial"===t.visProp.gradient?(r=this.createPrim("radialGradient",t.id+"_gradient"),r.setAttributeNS(null,"cx","50%"),r.setAttributeNS(null,"cy","50%"),r.setAttributeNS(null,"r","50%"),r.setAttributeNS(null,"fx",100*t.visProp.gradientpositionx+"%"),r.setAttributeNS(null,"fy",100*t.visProp.gradientpositiony+"%"),o=this.createPrim("stop",t.id+"_gradient1"),o.setAttributeNS(null,"offset","0%"),o.setAttributeNS(null,"style","stop-color:"+t.visProp.gradientsecondcolor+";stop-opacity:"+t.visProp.gradientsecondopacity),n=this.createPrim("stop",t.id+"_gradient2"),n.setAttributeNS(null,"offset","100%"),n.setAttributeNS(null,"style","stop-color:"+e+";stop-opacity:"+i),r.appendChild(o),r.appendChild(n),this.defs.appendChild(r),d.setAttributeNS(null,"style","fill:url(#"+this.container.id+"_"+t.id+"_gradient)"),t.gradNode1=o,t.gradNode2=n):d.removeAttributeNS(null,"style")},updateGradient:function(t){var e,i,r=t.gradNode1,o=t.gradNode2;s.exists(r)&&s.exists(o)&&(i=s.evaluate(t.visProp.fillopacity),i=i>0?i:0,e=s.evaluate(t.visProp.fillcolor),"linear"===t.visProp.gradient?(r.setAttributeNS(null,"style","stop-color:"+e+";stop-opacity:"+i),o.setAttributeNS(null,"style","stop-color:"+t.visProp.gradientsecondcolor+";stop-opacity:"+t.visProp.gradientsecondopacity)):"radial"===t.visProp.gradient&&(r.setAttributeNS(null,"style","stop-color:"+t.visProp.gradientsecondcolor+";stop-opacity:"+t.visProp.gradientsecondopacity),o.setAttributeNS(null,"style","stop-color:"+e+";stop-opacity:"+i)))},setObjectFillColor:function(e,i,r,o){var a,h,l,c,d=s.evaluate(i),u=s.evaluate(r);u=u>0?u:0,(e.visPropOld.fillcolor!==d||e.visPropOld.fillopacity!==u)&&(s.exists(d)&&d!==!1&&(9!==d.length?(h=d,c=u):(l=n.rgba2rgbo(d),h=l[0],c=u*l[1]),a=void 0===o?e.rendNode:o,"none"!==h&&a.setAttributeNS(null,"fill",h),e.type===t.OBJECT_TYPE_IMAGE?a.setAttributeNS(null,"opacity",c):("none"===h&&(c=0),a.setAttributeNS(null,"fill-opacity",c)),s.exists(e.visProp.gradient)&&this.updateGradient(e)),e.visPropOld.fillcolor=d,e.visPropOld.fillopacity=u)},setObjectStrokeColor:function(t,e,i){var o,a,h,l,c=s.evaluate(e),d=s.evaluate(i);d=d>0?d:0,(t.visPropOld.strokecolor!==c||t.visPropOld.strokeopacity!==d)&&(s.exists(c)&&c!==!1&&(9!==c.length?(o=c,h=d):(a=n.rgba2rgbo(c),o=a[0],h=d*a[1]),l=t.rendNode,t.elementClass===r.OBJECT_CLASS_TEXT?"html"===t.visProp.display?(l.style.color=o,l.style.opacity=h):(l.setAttributeNS(null,"style","fill:"+o),l.setAttributeNS(null,"style","fill-opacity:"+h)):(l.setAttributeNS(null,"stroke",o),l.setAttributeNS(null,"stroke-opacity",h)),t.type===r.OBJECT_TYPE_ARROW?this._setArrowColor(t.rendNodeTriangle,o,h,t.rendNode):(t.elementClass===r.OBJECT_CLASS_CURVE||t.elementClass===r.OBJECT_CLASS_LINE)&&(t.visProp.firstarrow&&this._setArrowColor(t.rendNodeTriangleStart,o,h,t.rendNode),t.visProp.lastarrow&&this._setArrowColor(t.rendNodeTriangleEnd,o,h,t.rendNode))),t.visPropOld.strokecolor=c,t.visPropOld.strokeopacity=d)},setObjectStrokeWidth:function(t,e){var i,o=s.evaluate(e);isNaN(o)||t.visPropOld.strokewidth===o||(i=t.rendNode,this.setPropertyPrim(i,"stroked","true"),s.exists(o)&&(this.setPropertyPrim(i,"stroke-width",o+"px"),t.type===r.OBJECT_TYPE_ARROW?this._setArrowWidth(t.rendNodeTriangle,o,t.rendNode):(t.elementClass===r.OBJECT_CLASS_CURVE||t.elementClass===r.OBJECT_CLASS_LINE)&&(t.visProp.firstarrow&&this._setArrowWidth(t.rendNodeTriangleStart,o,t.rendNode),t.visProp.lastarrow&&this._setArrowWidth(t.rendNodeTriangleEnd,o,t.rendNode))),t.visPropOld.strokewidth=o)},setShadow:function(t){t.visPropOld.shadow!==t.visProp.shadow&&(s.exists(t.rendNode)&&(t.visProp.shadow?t.rendNode.setAttributeNS(null,"filter","url(#"+this.container.id+"_f1)"):t.rendNode.removeAttributeNS(null,"filter")),t.visPropOld.shadow=t.visProp.shadow)},suspendRedraw:function(){},unsuspendRedraw:function(){},resize:function(t,e){this.svgRoot.style.width=parseFloat(t)+"px",this.svgRoot.style.height=parseFloat(e)+"px",this.svgRoot.setAttribute("width",parseFloat(t)),this.svgRoot.setAttribute("height",parseFloat(e))},createTouchpoints:function(t){var e,i,r,s;for(this.touchpoints=[],e=0;t>e;e++)i="touchpoint1_"+e,s=this.createPrim("path",i),this.appendChildPrim(s,19),s.setAttributeNS(null,"d","M 0 0"),this.touchpoints.push(s),this.setPropertyPrim(s,"stroked","true"),this.setPropertyPrim(s,"stroke-width","1px"),s.setAttributeNS(null,"stroke","#000000"),s.setAttributeNS(null,"stroke-opacity",1),s.setAttributeNS(null,"display","none"),r="touchpoint2_"+e,s=this.createPrim("ellipse",r),this.appendChildPrim(s,19),this.updateEllipsePrim(s,0,0,0,0),this.touchpoints.push(s),this.setPropertyPrim(s,"stroked","true"),this.setPropertyPrim(s,"stroke-width","1px"),s.setAttributeNS(null,"stroke","#000000"),s.setAttributeNS(null,"stroke-opacity",1),s.setAttributeNS(null,"fill","#ffffff"),s.setAttributeNS(null,"fill-opacity",0),s.setAttributeNS(null,"display","none")},showTouchpoint:function(t){this.touchpoints&&t>=0&&2*t<this.touchpoints.length&&(this.touchpoints[2*t].setAttributeNS(null,"display","inline"),this.touchpoints[2*t+1].setAttributeNS(null,"display","inline"))},hideTouchpoint:function(t){this.touchpoints&&t>=0&&2*t<this.touchpoints.length&&(this.touchpoints[2*t].setAttributeNS(null,"display","none"),this.touchpoints[2*t+1].setAttributeNS(null,"display","none"))},updateTouchpoint:function(t,e){var i,r,s=37;this.touchpoints&&t>=0&&2*t<this.touchpoints.length&&(i=e[0],r=e[1],this.touchpoints[2*t].setAttributeNS(null,"d","M "+(i-s)+" "+r+" L "+(i+s)+" "+r+" M "+i+" "+(r-s)+" L "+i+" "+(r+s)),this.updateEllipsePrim(this.touchpoints[2*t+1],e[0],e[1],25,25))},dumpToCanvas:function(t){var e,i,r,s,o=this.svgRoot,n=window.btoa||a.encode;return o.setAttribute("xmlns","http://www.w3.org/2000/svg"),e=(new XMLSerializer).serializeToString(o),(e.match(/xmlns=\"http:\/\/www.w3.org\/2000\/svg\"/g)||[]).length>1&&(e=e.replace(/xmlns=\"http:\/\/www.w3.org\/2000\/svg\"/,"")),r=document.getElementById(t),s=r.getContext("2d"),i=new Image,i.onload=function(){setTimeout(function(){r.width=r.width,s.drawImage(i,0,0)},200)},i.src="data:image/svg+xml;base64,"+n(unescape(encodeURIComponent(e))),this}}),t.SVGRenderer}),define("renderer/vml",["jxg","renderer/abstract","base/constants","utils/type","utils/color","math/math","math/numerics"],function(t,e,i,r,s,o,n){"use strict";return t.VMLRenderer=function(e){this.type="vml",this.container=e,this.container.style.overflow="hidden",""===this.container.style.position&&(this.container.style.position="relative"),this.container.onselectstart=function(){return!1},this.resolution=10,r.exists(t.vmlStylesheet)||(e.ownerDocument.namespaces.add("jxgvml","urn:schemas-microsoft-com:vml"),t.vmlStylesheet=this.container.ownerDocument.createStyleSheet(),t.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(i){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"]},t.VMLRenderer.prototype=new e,t.extend(t.VMLRenderer.prototype,{_setAttr:function(e,i,r,s){try{8===this.container.ownerDocument.documentMode?e[i]=r:e.setAttribute(i,r,s)}catch(o){t.debug("_setAttr: "+i+" "+r+"<br>\n")}},updateTicks:function(t){var e,i,s,o,n,a=this.resolution,h=[];for(i=t.ticks.length,e=0;i>e;e++)s=t.ticks[e],
o=s[0],n=s[1],r.isNumber(o[0])&&r.isNumber(o[1])&&h.push(" m "+Math.round(a*o[0])+", "+Math.round(a*n[0])+" l "+Math.round(a*o[1])+", "+Math.round(a*n[1])+" ");r.exists(t.rendNode)||(t.rendNode=this.createPrim("path",t.id),this.appendChildPrim(t.rendNode,t.visProp.layer)),this._setAttr(t.rendNode,"stroked","true"),this._setAttr(t.rendNode,"strokecolor",t.visProp.strokecolor,1),this._setAttr(t.rendNode,"strokeweight",t.visProp.strokewidth),this._setAttr(t.rendNodeStroke,"opacity",100*t.visProp.strokeopacity+"%"),this.updatePathPrim(t.rendNode,h,t.board)},displayCopyright:function(t,e){var i,r;i=this.createNode("textbox"),i.style.position="absolute",this._setAttr(i,"id",this.container.id+"_licenseText"),i.style.left=20,i.style.top=2,i.style.fontSize=e,i.style.color="#356AA0",i.style.fontFamily="Arial,Helvetica,sans-serif",this._setAttr(i,"opacity","30%"),i.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand', enabled = false) progid:DXImageTransform.Microsoft.Alpha(opacity = 30, enabled = true)",r=this.container.ownerDocument.createTextNode(t),i.appendChild(r),this.appendChildPrim(i,0)},drawInternalText:function(t){var e;return e=this.createNode("textbox"),e.style.position="absolute",t.rendNodeText=this.container.ownerDocument.createTextNode(""),e.appendChild(t.rendNodeText),this.appendChildPrim(e,9),e.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand', enabled = false) progid:DXImageTransform.Microsoft.Alpha(opacity = 100, enabled = false)",e},updateInternalText:function(t){var e,i,r,s,n,a,h=t.plaintext,l=this.joinTransforms(t,t.transformations),c=[0,0],d=t.rendNode,u=[];if(!isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])){for("right"===t.visProp.anchorx?c[0]=1:"middle"===t.visProp.anchorx&&(c[0]=.5),"bottom"===t.visProp.anchory?c[1]=1:"middle"===t.visProp.anchory&&(c[1]=.5),u[0]=o.matVecMult(l,[1,t.coords.scrCoords[1]-c[0]*t.size[0],t.coords.scrCoords[2]+(1-c[1])*t.size[1]+this.vOffsetText]),u[0][1]/=u[0][0],u[0][2]/=u[0][0],u[1]=o.matVecMult(l,[1,t.coords.scrCoords[1]+(1-c[0])*t.size[0],t.coords.scrCoords[2]+(1-c[1])*t.size[1]+this.vOffsetText]),u[1][1]/=u[1][0],u[1][2]/=u[1][0],u[2]=o.matVecMult(l,[1,t.coords.scrCoords[1]+(1-c[0])*t.size[0],t.coords.scrCoords[2]-c[1]*t.size[1]+this.vOffsetText]),u[2][1]/=u[2][0],u[2][2]/=u[2][0],u[3]=o.matVecMult(l,[1,t.coords.scrCoords[1]-c[0]*t.size[0],t.coords.scrCoords[2]-c[1]*t.size[1]+this.vOffsetText]),u[3][1]/=u[3][0],u[3][2]/=u[3][0],i=u[0][1],s=u[0][1],r=u[0][2],n=u[0][2],a=1;4>a;a++)i=Math.max(i,u[a][1]),s=Math.min(s,u[a][1]),r=Math.max(r,u[a][2]),n=Math.min(n,u[a][2]);e=1===c[0]?Math.floor(t.board.canvasWidth-i):Math.floor(s),t.visPropOld.left!==t.visProp.anchorx+e&&(1===c[0]?(t.rendNode.style.right=e+"px",t.rendNode.style.left="auto"):(t.rendNode.style.left=e+"px",t.rendNode.style.right="auto"),t.visPropOld.left=t.visProp.anchorx+e),e=1===c[1]?Math.floor(t.board.canvasHeight-r):Math.floor(n),t.visPropOld.top!==t.visProp.anchory+e&&(1===c[1]?(t.rendNode.style.bottom=e+"px",t.rendNode.style.top="auto"):(t.rendNode.style.top=e+"px",t.rendNode.style.bottom="auto"),t.visPropOld.top=t.visProp.anchory+e)}t.htmlStr!==h&&(t.rendNodeText.data=h,t.htmlStr=h),d.filters.item(0).M11=l[1][1],d.filters.item(0).M12=l[1][2],d.filters.item(0).M21=l[2][1],d.filters.item(0).M22=l[2][2],d.filters.item(0).enabled=!0},drawImage:function(t){var e;e=this.container.ownerDocument.createElement("img"),e.style.position="absolute",this._setAttr(e,"id",this.container.id+"_"+t.id),this.container.appendChild(e),this.appendChildPrim(e,t.visProp.layer),e.style.filter="progid:DXImageTransform.Microsoft.Matrix(M11='1.0', sizingMethod='auto expand') progid:DXImageTransform.Microsoft.Alpha(opacity = 100, enabled = false)",t.rendNode=e,this.updateImage(t)},transformImage:function(t,e){var i,r,s,n,a,h,l=t.rendNode,c=[],d=e.length;if(d>0){for(i=this.joinTransforms(t,e),c[0]=o.matVecMult(i,t.coords.scrCoords),c[0][1]/=c[0][0],c[0][2]/=c[0][0],c[1]=o.matVecMult(i,[1,t.coords.scrCoords[1]+t.size[0],t.coords.scrCoords[2]]),c[1][1]/=c[1][0],c[1][2]/=c[1][0],c[2]=o.matVecMult(i,[1,t.coords.scrCoords[1]+t.size[0],t.coords.scrCoords[2]-t.size[1]]),c[2][1]/=c[2][0],c[2][2]/=c[2][0],c[3]=o.matVecMult(i,[1,t.coords.scrCoords[1],t.coords.scrCoords[2]-t.size[1]]),c[3][1]/=c[3][0],c[3][2]/=c[3][0],r=c[0][1],n=c[0][1],s=c[0][2],a=c[0][2],h=1;4>h;h++)r=Math.max(r,c[h][1]),n=Math.min(n,c[h][1]),s=Math.max(s,c[h][2]),a=Math.min(a,c[h][2]);l.style.left=Math.floor(n)+"px",l.style.top=Math.floor(a)+"px",l.filters.item(0).M11=i[1][1],l.filters.item(0).M12=i[1][2],l.filters.item(0).M21=i[2][1],l.filters.item(0).M22=i[2][2],l.filters.item(0).enabled=!0}},updateImageURL:function(t){var e=r.evaluate(t.url);this._setAttr(t.rendNode,"src",e)},appendChildPrim:function(t,e){return r.exists(e)||(e=0),t.style.zIndex=e,this.container.appendChild(t),t},appendNodesToElement:function(t,e){("shape"===e||"path"===e||"polygon"===e)&&(t.rendNodePath=this.getElementById(t.id+"_path")),t.rendNodeFill=this.getElementById(t.id+"_fill"),t.rendNodeStroke=this.getElementById(t.id+"_stroke"),t.rendNodeShadow=this.getElementById(t.id+"_shadow"),t.rendNode=this.getElementById(t.id)},createPrim:function(t,e){var i,r,s=this.createNode("fill"),o=this.createNode("stroke"),n=this.createNode("shadow");return this._setAttr(s,"id",this.container.id+"_"+e+"_fill"),this._setAttr(o,"id",this.container.id+"_"+e+"_stroke"),this._setAttr(n,"id",this.container.id+"_"+e+"_shadow"),"circle"===t||"ellipse"===t?(i=this.createNode("oval"),i.appendChild(s),i.appendChild(o),i.appendChild(n)):"polygon"===t||"path"===t||"shape"===t||"line"===t?(i=this.createNode("shape"),i.appendChild(s),i.appendChild(o),i.appendChild(n),r=this.createNode("path"),this._setAttr(r,"id",this.container.id+"_"+e+"_path"),i.appendChild(r)):(i=this.createNode(t),i.appendChild(s),i.appendChild(o),i.appendChild(n)),i.style.position="absolute",i.style.left="0px",i.style.top="0px",this._setAttr(i,"id",this.container.id+"_"+e),i},remove:function(t){r.exists(t)&&t.removeNode(!0)},makeArrows:function(t){var e;(t.visPropOld.firstarrow!==t.visProp.firstarrow||t.visPropOld.lastarrow!==t.visProp.lastarrow)&&(t.visProp.firstarrow?(e=t.rendNodeStroke,this._setAttr(e,"startarrow","block"),this._setAttr(e,"startarrowlength","long")):(e=t.rendNodeStroke,r.exists(e)&&this._setAttr(e,"startarrow","none")),t.visProp.lastarrow?(e=t.rendNodeStroke,this._setAttr(e,"id",this.container.id+"_"+t.id+"stroke"),this._setAttr(e,"endarrow","block"),this._setAttr(e,"endarrowlength","long")):(e=t.rendNodeStroke,r.exists(e)&&this._setAttr(e,"endarrow","none")),t.visPropOld.firstarrow=t.visProp.firstarrow,t.visPropOld.lastarrow=t.visProp.lastarrow)},updateEllipsePrim:function(t,e,i,r,s){t.style.left=Math.floor(e-r)+"px",t.style.top=Math.floor(i-s)+"px",t.style.width=Math.floor(2*Math.abs(r))+"px",t.style.height=Math.floor(2*Math.abs(s))+"px"},updateLinePrim:function(t,e,i,r,s,o){var n,a=this.resolution;isNaN(e+i+r+s)||(n=["m ",Math.floor(a*e),", ",Math.floor(a*i)," l ",Math.floor(a*r),", 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",o(s*i[2])].join("")),l=a);else if(3===t.bezierDegree)for(e=0;c>e;)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?l=n:(r.push([l,o(s*i[1]),", ",o(s*i[2])].join("")),l===h&&(e+=1,i=t.points[e].scrCoords,r.push([" ",o(s*i[1]),", ",o(s*i[2])].join("")),e+=1,i=t.points[e].scrCoords,r.push([" ",o(s*i[1]),", ",o(s*i[2])].join(""))),l=h),e+=1;return r.push(" e"),r},updatePathStringBezierPrim:function(t){var e,i,r,s,o,a,h=[],l=t.visProp.strokewidth,c=this.resolution,d=Math.round,u=" m ",p=" c ",f=u,m="plot"!==t.visProp.curvetype,g=Math.min(t.numberPoints,8192);if(t.numberPoints<=0)return"";for(m&&t.board.options.curve.RDPsmoothing&&(t.points=n.RamerDouglasPeucker(t.points,1)),g=Math.min(g,t.points.length),i=1;3>i;i++)for(f=u,e=0;g>e;e++)s=t.points[e].scrCoords,isNaN(s[1])||isNaN(s[2])?f=u:(s[1]>2e4?s[1]=2e4:s[1]<-2e4&&(s[1]=-2e4),s[2]>2e4?s[2]=2e4:s[2]<-2e4&&(s[2]=-2e4),f===u?h.push([f,d(c*s[1])," ",d(c*s[2])].join("")):(r=2*i,h.push([f,d(c*(o+.333*(s[1]-o)+l*(r*Math.random()-i)))," 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s,o="";switch(e){case"stroke":o="strokecolor";break;case"stroke-width":o="strokeweight";break;case"stroke-dasharray":o="dashstyle"}""!==o&&(s=r.evaluate(i),this._setAttr(t,o,s))},show:function(t){t&&t.rendNode&&(t.rendNode.style.visibility="inherit")},hide:function(t){t&&t.rendNode&&(t.rendNode.style.visibility="hidden")},setDashStyle:function(t,e){var i;e.dash>=0&&(i=t.rendNodeStroke,this._setAttr(i,"dashstyle",this.dashArray[e.dash]))},setGradient:function(t){var e=t.rendNodeFill;"linear"===t.visProp.gradient?(this._setAttr(e,"type","gradient"),this._setAttr(e,"color2",t.visProp.gradientsecondcolor),this._setAttr(e,"opacity2",t.visProp.gradientsecondopacity),this._setAttr(e,"angle",t.visProp.gradientangle)):"radial"===t.visProp.gradient?(this._setAttr(e,"type","gradientradial"),this._setAttr(e,"color2",t.visProp.gradientsecondcolor),this._setAttr(e,"opacity2",t.visProp.gradientsecondopacity),this._setAttr(e,"focusposition",100*t.visProp.gradientpositionx+"%,"+100*t.visProp.gradientpositiony+"%"),this._setAttr(e,"focussize","0,0")):this._setAttr(e,"type","solid")},setObjectFillColor:function(t,e,o){var n,a,h,l=r.evaluate(e),c=r.evaluate(o),d=t.rendNode;c=c>0?c:0,(t.visPropOld.fillcolor!==l||t.visPropOld.fillopacity!==c)&&(r.exists(l)&&l!==!1&&(9!==l.length?(n=l,h=c):(a=s.rgba2rgbo(l),n=a[0],h=c*a[1]),"none"===n||n===!1?this._setAttr(t.rendNode,"filled","false"):(this._setAttr(t.rendNode,"filled","true"),this._setAttr(t.rendNode,"fillcolor",n),r.exists(h)&&t.rendNodeFill&&this._setAttr(t.rendNodeFill,"opacity",100*h+"%")),t.type===i.OBJECT_TYPE_IMAGE&&d.filters.length>1&&(d.filters.item(1).opacity=Math.round(100*h),d.filters.item(1).enabled=!0)),t.visPropOld.fillcolor=l,t.visPropOld.fillopacity=c)},setObjectStrokeColor:function(t,e,s){var o,n,a,h,l=r.evaluate(e),c=r.evaluate(s),d=t.rendNode;c=c>0?c:0,(t.visPropOld.strokecolor!==l||t.visPropOld.strokeopacity!==c)&&(r.exists(l)&&l!==!1&&(9!==l.length?(o=l,a=c):(n=e.rgba2rgbo(l),o=n[0],a=c*n[1]),t.elementClass===i.OBJECT_CLASS_TEXT?(d.filters.length>1&&(d.filters.item(1).opacity=Math.round(100*a),d.filters.item(1).enabled=!0),d.style.color=o):(o!==!1&&(this._setAttr(d,"stroked","true"),this._setAttr(d,"strokecolor",o)),h=t.rendNodeStroke,r.exists(a)&&t.type!==i.OBJECT_TYPE_IMAGE&&this._setAttr(h,"opacity",100*a+"%"))),t.visPropOld.strokecolor=l,t.visPropOld.strokeopacity=c)},setObjectStrokeWidth:function(t,e){var i,s=r.evaluate(e);isNaN(s)||t.visPropOld.strokewidth===s||(i=t.rendNode,this.setPropertyPrim(i,"stroked","true"),r.exists(s)&&(this.setPropertyPrim(i,"stroke-width",s),0===s&&r.exists(t.rendNodeStroke)&&this._setAttr(i,"stroked","false")),t.visPropOld.strokewidth=s)},setShadow:function(t){var e=t.rendNodeShadow;e&&t.visPropOld.shadow!==t.visProp.shadow&&(t.visProp.shadow?(this._setAttr(e,"On","True"),this._setAttr(e,"Offset","3pt,3pt"),this._setAttr(e,"Opacity","60%"),this._setAttr(e,"Color","#aaaaaa")):this._setAttr(e,"On","False"),t.visPropOld.shadow=t.visProp.shadow)},suspendRedraw:function(){this.container.style.display="none"},unsuspendRedraw:function(){this.container.style.display=""}}),t.VMLRenderer}),define("renderer/canvas",["jxg","renderer/abstract","base/constants","utils/env","utils/type","utils/uuid","utils/color","base/coords","math/math","math/geometry","math/numerics"],function(t,e,i,r,s,o,n,a,h,l,c){"use strict";return t.CanvasRenderer=function(t,e){this.type="canvas",this.canvasRoot=null,this.suspendHandle=null,this.canvasId=o.genUUID(),this.canvasNamespace=null,r.isBrowser?(this.container=t,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="',e.width,'px" height="',e.height,'px"><',"/canvas>"].join(""),this.canvasRoot=this.container.ownerDocument.getElementById(this.canvasId),this.context=this.canvasRoot.getContext("2d")):r.isNode()&&(this.canvasId="object"==typeof module?module.require("canvas"):require("canvas"),this.canvasRoot=new this.canvasId(500,500),this.context=this.canvasRoot.getContext("2d")),this.dashArray=[[2,2],[5,5],[10,10],[20,20],[20,10,10,10],[20,5,10,5]]},t.CanvasRenderer.prototype=new e,t.extend(t.CanvasRenderer.prototype,{_drawFilledPolygon:function(t){var e,i=t.length,r=this.context;if(i>0){for(r.beginPath(),r.moveTo(t[0][0],t[0][1]),e=0;i>e;e++)e>0&&r.lineTo(t[e][0],t[e][1]);r.lineTo(t[0][0],t[0][1]),r.fill()}},_fill:function(t){var e=this.context;e.save(),this._setColor(t,"fill")&&e.fill(),e.restore()},_rotatePoint:function(t,e,i){return[e*Math.cos(t)-i*Math.sin(t),e*Math.sin(t)+i*Math.cos(t)]},_rotateShape:function(t,e){var i,r=[],s=t.length;if(0>=s)return t;for(i=0;s>i;i++)r.push(this._rotatePoint(e,t[i][0],t[i][1]));return r},_setColor:function(t,e,i){var r,o,a,h,l,c,d=!0,u=!1,p=t.visProp;return e=e||"stroke",i=i||e,s.exists(t.board)&&s.exists(t.board.highlightedObjects)||(u=!0),r=!u&&s.exists(t.board.highlightedObjects[t.id])?"highlight":"",o=s.evaluate(p[r+e+"color"]),"none"!==o&&o!==!1?(l=s.evaluate(p[r+e+"opacity"]),l=l>0?l:0,9!==o.length?(h=o,c=l):(a=n.rgba2rgbo(o),h=a[0],c=l*a[1]),this.context.globalAlpha=c,this.context[i+"Style"]=h):d=!1,"stroke"!==e||isNaN(parseFloat(p.strokewidth))||(0===parseFloat(p.strokewidth)?this.context.globalAlpha=0:this.context.lineWidth=parseFloat(p.strokewidth)),d},_stroke:function(t){var e=this.context;e.save(),t.visProp.dash>0?e.setLineDash&&e.setLineDash(this.dashArray[t.visProp.dash]):this.context.lineDashArray=[],this._setColor(t,"stroke")&&e.stroke(),e.restore()},_translateShape:function(t,e,i){var r,s=[],o=t.length;if(0>=o)return t;for(r=0;o>r;r++)s.push([t[r][0]+e,t[r][1]+i]);return s},drawPoint:function(t){var e=t.visProp.face,i=t.visProp.size,r=t.coords.scrCoords,s=i*Math.sqrt(3)*.5,o=.5*i,n=parseFloat(t.visProp.strokewidth)/2,a=this.context;if(t.visProp.visible)switch(e){case"cross":case"x":a.beginPath(),a.moveTo(r[1]-i,r[2]-i),a.lineTo(r[1]+i,r[2]+i),a.moveTo(r[1]+i,r[2]-i),a.lineTo(r[1]-i,r[2]+i),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"circle":case"o":a.beginPath(),a.arc(r[1],r[2],i+1+n,0,2*Math.PI,!1),a.closePath(),this._fill(t),this._stroke(t);break;case"square":case"[]":if(0>=i)break;a.save(),this._setColor(t,"stroke","fill")&&a.fillRect(r[1]-i-n,r[2]-i-n,2*i+3*n,2*i+3*n),a.restore(),a.save(),this._setColor(t,"fill"),a.fillRect(r[1]-i+n,r[2]-i+n,2*i-n,2*i-n),a.restore();break;case"plus":case"+":a.beginPath(),a.moveTo(r[1]-i,r[2]),a.lineTo(r[1]+i,r[2]),a.moveTo(r[1],r[2]-i),a.lineTo(r[1],r[2]+i),a.lineCap="round",a.lineJoin="round",a.closePath(),this._stroke(t);break;case"diamond":case"<>":a.beginPath(),a.moveTo(r[1]-i,r[2]),a.lineTo(r[1],r[2]+i),a.lineTo(r[1]+i,r[2]),a.lineTo(r[1],r[2]-i),a.closePath(),this._fill(t),this._stroke(t);break;case"triangleup":case"a":case"^":a.beginPath(),a.moveTo(r[1],r[2]-i),a.lineTo(r[1]-s,r[2]+o),a.lineTo(r[1]+s,r[2]+o),a.closePath(),this._fill(t),this._stroke(t);break;case"triangledown":case"v":a.beginPath(),a.moveTo(r[1],r[2]+i),a.lineTo(r[1]-s,r[2]-o),a.lineTo(r[1]+s,r[2]-o),a.closePath(),this._fill(t),this._stroke(t);break;case"triangleleft":case"<":a.beginPath(),a.moveTo(r[1]-i,r[2]),a.lineTo(r[1]+o,r[2]-s),a.lineTo(r[1]+o,r[2]+s),a.closePath(),this.fill(t),this._stroke(t);break;case"triangleright":case">":a.beginPath(),a.moveTo(r[1]+i,r[2]),a.lineTo(r[1]-o,r[2]-s),a.lineTo(r[1]-o,r[2]+s),a.closePath(),this._fill(t),this._stroke(t)}},updatePoint:function(t){this.drawPoint(t)},drawLine:function(t){var e,r,s,o,n,c,d=new a(i.COORDS_BY_USER,t.point1.coords.usrCoords,t.board),u=new a(i.COORDS_BY_USER,t.point2.coords.usrCoords,t.board),p=null;t.visProp.visible&&((t.visProp.firstarrow||t.visProp.lastarrow)&&(p=-4),l.calcStraight(t,d,u,p),s=o=n=c=0,e=Math.max(3*parseInt(t.visProp.strokewidth,10),10),t.visProp.lastarrow&&(r=d.distance(i.COORDS_BY_SCREEN,u),r>h.eps&&(n=(u.scrCoords[1]-d.scrCoords[1])*e/r,c=(u.scrCoords[2]-d.scrCoords[2])*e/r)),t.visProp.firstarrow&&(r=d.distance(i.COORDS_BY_SCREEN,u),r>h.eps&&(s=(u.scrCoords[1]-d.scrCoords[1])*e/r,o=(u.scrCoords[2]-d.scrCoords[2])*e/r)),this.context.beginPath(),this.context.moveTo(d.scrCoords[1]+s,d.scrCoords[2]+o),this.context.lineTo(u.scrCoords[1]-n,u.scrCoords[2]-c),this._stroke(t),this.makeArrows(t,d,u))},updateLine:function(t){this.drawLine(t)},drawTicks:function(){},updateTicks:function(t){var e,i,r,s,o=t.ticks.length,n=this.context;for(n.beginPath(),e=0;o>e;e++)i=t.ticks[e],r=i[0],s=i[1],n.moveTo(r[0],s[0]),n.lineTo(r[1],s[1]);for(e=0;o>e;e++)i=t.ticks[e].scrCoords,t.ticks[e].major&&(t.board.needsFullUpdate||t.needsRegularUpdate)&&t.labels[e]&&t.labels[e].visProp.visible&&this.updateText(t.labels[e]);n.lineCap="round",this._stroke(t)},drawCurve:function(t){t.visProp.handdrawing?this.updatePathStringBezierPrim(t):this.updatePathStringPrim(t)},updateCurve:function(t){this.drawCurve(t)},drawEllipse:function(t){var e=t.center.coords.scrCoords[1],i=t.center.coords.scrCoords[2],r=t.board.unitX,s=t.board.unitY,o=2*t.Radius(),n=2*t.Radius(),a=o*r,h=n*s,l=e-a/2,c=i-h/2,d=a/2*.5522848,u=h/2*.5522848,p=l+a,f=c+h,m=l+a/2,g=c+h/2,b=this.context;o>0&&n>0&&!isNaN(e+i)&&(b.beginPath(),b.moveTo(l,g),b.bezierCurveTo(l,g-u,m-d,c,m,c),b.bezierCurveTo(m+d,c,p,g-u,p,g),b.bezierCurveTo(p,g+u,m+d,f,m,f),b.bezierCurveTo(m-d,f,l,g+u,l,g),b.closePath(),this._fill(t),this._stroke(t))},updateEllipse:function(t){return this.drawEllipse(t)},displayCopyright:function(t,e){var i=this.context;i.save(),i.font=e+"px Arial",i.fillStyle="#aaa",i.lineWidth=.5,i.fillText(t,10,2+e),i.restore()},drawInternalText:function(t){var e,i=this.context;return i.save(),this._setColor(t,"stroke","fill")&&!isNaN(t.coords.scrCoords[1]+t.coords.scrCoords[2])&&(t.visProp.fontsize&&(s.isFunction(t.visProp.fontsize)?(e=t.visProp.fontsize(),i.font=(e>0?e:0)+"px Arial"):i.font=t.visProp.fontsize+"px Arial"),this.transformImage(t,t.transformations),"left"===t.visProp.anchorx?i.textAlign="left":"right"===t.visProp.anchorx?i.textAlign="right":"middle"===t.visProp.anchorx&&(i.textAlign="center"),"bottom"===t.visProp.anchory?i.textBaseline="bottom":"top"===t.visProp.anchory?i.textBaseline="top":"middle"===t.visProp.anchory&&(i.textBaseline="middle"),i.fillText(t.plaintext,t.coords.scrCoords[1],t.coords.scrCoords[2])),i.restore(),null},updateInternalText:function(t){this.drawInternalText(t)},setObjectStrokeColor:function(t,e,r){var o,a,h,l,c=s.evaluate(e),d=s.evaluate(r);d=d>0?d:0,(t.visPropOld.strokecolor!==c||t.visPropOld.strokeopacity!==d)&&(s.exists(c)&&c!==!1&&(9!==c.length?(o=c,h=d):(a=n.rgba2rgbo(c),o=a[0],h=d*a[1]),l=t.rendNode,t.elementClass===i.OBJECT_CLASS_TEXT&&"html"===t.visProp.display&&(l.style.color=o,l.style.opacity=h)),t.visPropOld.strokecolor=c,t.visPropOld.strokeopacity=d)},drawImage:function(t){t.rendNode=new Image,t._src="",this.updateImage(t)},updateImage:function(t){var e=this.context,i=s.evaluate(t.visProp.fillopacity),r=s.bind(function(){t.imgIsLoaded=!0,t.size[0]<=0||t.size[1]<=0||(e.save(),e.globalAlpha=i,this.transformImage(t,t.transformations),e.drawImage(t.rendNode,t.coords.scrCoords[1],t.coords.scrCoords[2]-t.size[1],t.size[0],t.size[1]),e.restore())},this);this.updateImageURL(t)?t.rendNode.onload=r:t.imgIsLoaded&&r()},transformImage:function(t,e){var i,r=e.length,s=this.context;r>0&&(i=this.joinTransforms(t,e),Math.abs(c.det(i))>=h.eps&&s.transform(i[1][1],i[2][1],i[1][2],i[2][2],i[1][0],i[2][0]))},updateImageURL:function(t){var e;return e=s.evaluate(t.url),t._src!==e?(t.imgIsLoaded=!1,t.rendNode.src=e,t._src=e,!0):!1},remove:function(t){s.exists(t)&&s.exists(t.parentNode)&&t.parentNode.removeChild(t)},makeArrows:function(t,e,r){var s,o,n,a,h,l=Math.max(3*t.visProp.strokewidth,10),c=[[-l,.5*-l],[0,0],[-l,.5*l]],d=[[l,.5*-l],[0,0],[l,.5*l]],u=this.context;if("none"!==t.visProp.strokecolor&&(t.visProp.lastarrow||t.visProp.firstarrow)){if(t.elementClass!==i.OBJECT_CLASS_LINE)return;s=e.scrCoords[1],o=e.scrCoords[2],n=r.scrCoords[1],a=r.scrCoords[2],u.save(),this._setColor(t,"stroke","fill")&&(h=Math.atan2(a-o,n-s),t.visProp.lastarrow&&this._drawFilledPolygon(this._translateShape(this._rotateShape(c,h),n,a)),t.visProp.firstarrow&&this._drawFilledPolygon(this._translateShape(this._rotateShape(d,h),s,o))),u.restore()}},updatePathStringPrim:function(t){var e,i,r,s,o,n="M",a="L",h="C",l=n,c=5e3,d=this.context;if(!(t.numberPoints<=0)){if(o=Math.min(t.points.length,t.numberPoints),d.beginPath(),1===t.bezierDegree)for(e=0;o>e;e++)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?l=n:(i[1]>c?i[1]=c:i[1]<-c&&(i[1]=-c),i[2]>c?i[2]=c:i[2]<-c&&(i[2]=-c),l===n?d.moveTo(i[1],i[2]):d.lineTo(i[1],i[2]),l=a);else if(3===t.bezierDegree)for(e=0;o>e;)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?l=n:(l===n?d.moveTo(i[1],i[2]):(e+=1,r=t.points[e].scrCoords,e+=1,s=t.points[e].scrCoords,d.bezierCurveTo(i[1],i[2],r[1],r[2],s[1],s[2])),l=h),e+=1;d.lineCap="round",this._fill(t),this._stroke(t)}},updatePathStringBezierPrim:function(t){var e,i,r,s,o,n,a,h="M",l="C",d=h,u=5e3,p=t.visProp.strokewidth,f="plot"!==t.visProp.curvetype,m=this.context;if(!(t.numberPoints<=0)){for(f&&t.board.options.curve.RDPsmoothing&&(t.points=c.RamerDouglasPeucker(t.points,.5)),a=Math.min(t.points.length,t.numberPoints),m.beginPath(),i=1;3>i;i++)for(d=h,e=0;a>e;e++)s=t.points[e].scrCoords,isNaN(s[1])||isNaN(s[2])?d=h:(s[1]>u?s[1]=u:s[1]<-u&&(s[1]=-u),s[2]>u?s[2]=u:s[2]<-u&&(s[2]=-u),d===h?m.moveTo(s[1],s[2]):(r=2*i,m.bezierCurveTo(o+.333*(s[1]-o)+p*(r*Math.random()-i),n+.333*(s[2]-n)+p*(r*Math.random()-i),o+.666*(s[1]-o)+p*(r*Math.random()-i),n+.666*(s[2]-n)+p*(r*Math.random()-i),s[1],s[2])),d=l,o=s[1],n=s[2]);m.lineCap="round",this._fill(t),this._stroke(t)}},updatePolygonPrim:function(t,e){var i,r,s,o=e.vertices.length,n=this.context,a=!0;if(!(0>=o)&&e.visProp.visible){for(n.beginPath(),r=0;!e.vertices[r].isReal&&o-1>r;)r++,a=!1;for(i=e.vertices[r].coords.scrCoords,n.moveTo(i[1],i[2]),s=r;o-1>s;s++)e.vertices[s].isReal||(a=!1),i=e.vertices[s].coords.scrCoords,n.lineTo(i[1],i[2]);n.closePath(),a&&this._fill(e)}},show:function(t){s.exists(t.rendNode)&&(t.rendNode.style.visibility="inherit")},hide:function(t){s.exists(t.rendNode)&&(t.rendNode.style.visibility="hidden")},setGradient:function(t){var e,i;i=s.evaluate(t.visProp.fillopacity),i=i>0?i:0,e=s.evaluate(t.visProp.fillcolor)},setShadow:function(t){t.visPropOld.shadow!==t.visProp.shadow&&(t.visPropOld.shadow=t.visProp.shadow)},highlight:function(t){return t.elementClass===i.OBJECT_CLASS_TEXT&&"html"===t.visProp.display?this.updateTextStyle(t,!0):(t.board.prepareUpdate(),t.board.renderer.suspendRedraw(t.board),t.board.updateRenderer(),t.board.renderer.unsuspendRedraw()),this},noHighlight:function(t){return t.elementClass===i.OBJECT_CLASS_TEXT&&"html"===t.visProp.display?this.updateTextStyle(t,!1):(t.board.prepareUpdate(),t.board.renderer.suspendRedraw(t.board),t.board.updateRenderer(),t.board.renderer.unsuspendRedraw()),this},suspendRedraw:function(e){this.context.save(),this.context.clearRect(0,0,this.canvasRoot.width,this.canvasRoot.height),e&&e.attr.showcopyright&&this.displayCopyright(t.licenseText,12)},unsuspendRedraw:function(){this.context.restore()},resize:function(t,e){this.container?(this.canvasRoot.style.width=parseFloat(t)+"px",this.canvasRoot.style.height=parseFloat(e)+"px",this.canvasRoot.setAttribute("width",parseFloat(t)+"px"),this.canvasRoot.setAttribute("height",parseFloat(e)+"px")):(this.canvasRoot.width=parseFloat(t),this.canvasRoot.height=parseFloat(e))},removeToInsertLater:function(){return function(){}}}),t.CanvasRenderer}),define("jsxgraph",["jxg","utils/env","utils/type","base/board","reader/file","options","renderer/svg","renderer/vml","renderer/canvas","renderer/no"],function(t,e,i,r,s,o,n,a,h,l){"use strict";return t.JSXGraph={rendererType:function(){return o.board.renderer="no",e.supportsVML()&&(o.board.renderer="vml",document.onmousemove=function(){var t;return document.body&&(t=document.body.scrollLeft,t+=document.body.scrollTop),t}),e.supportsCanvas()&&(o.board.renderer="canvas"),e.supportsSVG()&&(o.board.renderer="svg"),e.isNode()&&e.supportsCanvas()&&(o.board.renderer="canvas"),(e.isNode()||"no"===o.renderer)&&(o.text.display="internal",o.infobox.display="internal"),o.board.renderer}(),initRenderer:function(t,e,r,s){var o,c;if(i.exists(r)&&r!==!1||"object"!=typeof document||(r=document),"object"==typeof r&&null!==t)for(o=r.getElementById(t);o.firstChild;)o.removeChild(o.firstChild);else o=t;return c="svg"===s?new n(o,e):"vml"===s?new a(o):"canvas"===s?new h(o,e):new l},initBoard:function(s,n){var a,h,l,c,d,u,p,f,m,g,b,v;return n=n||{},g=i.copyAttributes(n,o,"board"),g.zoom=i.copyAttributes(g,o,"board","zoom"),g.pan=i.copyAttributes(g,o,"board","pan"),g.selection=i.copyAttributes(g,o,"board","selection"),f=e.getDimensions(s,g.document),g.unitx||g.unity?(a=i.def(g.originx,150),h=i.def(g.originy,150),l=i.def(g.unitx,50),c=i.def(g.unity,50)):(m=g.boundingbox,u=parseInt(f.width,10),p=parseInt(f.height,10),i.exists(m)&&g.keepaspectratio?(l=u/(m[2]-m[0]),c=p/(m[1]-m[3]),Math.abs(l)<Math.abs(c)?c=Math.abs(l)*c/Math.abs(c):l=Math.abs(c)*l/Math.abs(l)):(l=u/(m[2]-m[0]),c=p/(m[1]-m[3])),a=-l*m[0],h=c*m[1]),d=this.initRenderer(s,f,g.document,g.renderer),v=new r(s,d,g.id,[a,h],g.zoomfactor*g.zoomx,g.zoomfactor*g.zoomy,l,c,f.width,f.height,g),t.boards[v.id]=v,v.keepaspectratio=g.keepaspectratio,v.resizeContainer(f.width,f.height,!0,!0),v.suspendUpdate(),v.initInfobox(),g.axis&&(b="object"==typeof g.axis?g.axis:{ticks:{drawZero:!0}},v.defaultAxes={},v.defaultAxes.x=v.create("axis",[[0,0],[1,0]],b),v.defaultAxes.y=v.create("axis",[[0,0],[0,1]],b)),g.grid&&v.create("grid",[],"object"==typeof g.grid?g.grid:{}),v._createSelectionPolygon(g),v.renderer.drawZoomBar(v),v.unsuspendUpdate(),v},loadBoardFromFile:function(n,a,h,l,c){var d,u,p,f,m;return l=l||{},d=i.copyAttributes(l,o,"board"),d.zoom=i.copyAttributes(l,o,"board","zoom"),d.pan=i.copyAttributes(l,o,"board","pan"),d.selection=i.copyAttributes(d,o,"board","selection"),f=e.getDimensions(n,d.document),u=this.initRenderer(n,f,d.document),p=new r(n,u,"",[150,150],1,1,50,50,f.width,f.height,d),p.initInfobox(),p.resizeContainer(f.width,f.height,!0,!0),s.parseFileContent(a,p,h,!0,c),m=i.copyAttributes(d,o,"board","selection"),p.selectionPolygon=p.create("polygon",[[0,0],[0,0],[0,0],[0,0]],m),p.renderer.drawZoomBar(p),t.boards[p.id]=p,p},loadBoardFromString:function(n,a,h,l,c){var d,u,p,f,m;return l=l||{},d=i.copyAttributes(l,o,"board"),d.zoom=i.copyAttributes(l,o,"board","zoom"),d.pan=i.copyAttributes(l,o,"board","pan"),d.selection=i.copyAttributes(d,o,"board","selection"),p=e.getDimensions(n,d.document),u=this.initRenderer(n,p,d.document),f=new r(n,u,"",[150,150],1,1,50,50,p.width,p.height,d),f.initInfobox(),f.resizeContainer(p.width,p.height,!0,!0),s.parseString(a,f,h,!0,c),m=i.copyAttributes(d,o,"board","selection"),f.selectionPolygon=f.create("polygon",[[0,0],[0,0],[0,0],[0,0]],m),f.renderer.drawZoomBar(f),t.boards[f.id]=f,f},freeBoard:function(e){var i;"string"==typeof e&&(e=t.boards[e]),e.removeEventHandlers(),e.suspendUpdate();for(i in e.objects)e.objects.hasOwnProperty(i)&&e.objects[i].remove();for(;e.containerObj.firstChild;)e.containerObj.removeChild(e.containerObj.firstChild);for(i in e.objects)e.objects.hasOwnProperty(i)&&delete e.objects[i];delete e.renderer,e.jc.creator.clearCache(),delete e.jc,delete t.boards[e.id]},registerElement:function(e,i){t.deprecated("JXG.JSXGraph.registerElement()","JXG.registerElement()"),t.registerElement(e,i)}},e.isBrowser&&"object"==typeof window&&"object"==typeof document&&e.addEvent(window,"load",function(){var e,r,s,o,n,a,h,l,c,d,u,p,f=document.getElementsByTagName("script"),m=function(e,i,r){var s=t.JSXGraph.initBoard(n,{boundingbox:r,keepaspectratio:!0,grid:u,axis:d,showReload:!0});if(i.toLowerCase().indexOf("script")>-1)s.construct(e);else try{s.jc.parse(e)}catch(o){t.debug(o)}return s},g=function(e,i,r,s){return function(){var o;t.JSXGraph.freeBoard(e),o=m(i,r,s),o.reload=g(o,i,r,s)}};for(r=0;r<f.length;r++)if(e=f[r].getAttribute("type",!1),i.exists(e)&&("text/jessiescript"===e.toLowerCase()||"jessiescript"===e.toLowerCase()||"text/jessiecode"===e.toLowerCase()||"jessiecode"===e.toLowerCase())){if(h=f[r].getAttribute("width",!1)||"500px",l=f[r].getAttribute("height",!1)||"500px",c=f[r].getAttribute("boundingbox",!1)||"-5, 5, 5, -5",n=f[r].getAttribute("container",!1),c=c.split(","),4!==c.length)c=[-5,5,5,-5];else for(s=0;s<c.length;s++)c[s]=parseFloat(c[s]);if(d=i.str2Bool(f[r].getAttribute("axis",!1)||"false"),u=i.str2Bool(f[r].getAttribute("grid",!1)||"false"),i.exists(n))o=document.getElementById(n);else{n="jessiescript_autgen_jxg_"+r,o=document.createElement("div"),o.setAttribute("id",n),o.setAttribute("style","width:"+h+"; height:"+l+"; float:left"),o.setAttribute("class","jxgbox");try{document.body.insertBefore(o,f[r])}catch(b){"object"==typeof jQuery&&jQuery(o).insertBefore(f[r])}}document.getElementById(n)?(p=f[r].innerHTML,p=p.replace(/<!\[CDATA\[/g,"").replace(/\]\]>/g,""),
f[r].innerHTML=p,a=m(p,e,c),a.reload=g(a,p,e,c)):t.debug("JSXGraph: Apparently the div injection failed. Can't create a board, sorry.")}},window),t.JSXGraph}),define("base/group",["jxg","base/constants","math/math","math/geometry","utils/type"],function(t,e,i,r,s){"use strict";return t.Group=function(t,i,r,o,n){var a,h,l,c;for(this.board=t,this.objects={},a=this.board.numObjects,this.board.numObjects+=1,""!==i&&s.exists(i)?this.id=i:this.id=this.board.id+"Group"+a,this.board.groups[this.id]=this,this.type=e.OBJECT_TYPE_POINT,this.elementClass=e.OBJECT_CLASS_POINT,""!==r&&s.exists(r)?this.name=r:this.name="group_"+this.board.generateName(this),delete this.type,this.coords={},this.needsRegularUpdate=n.needsregularupdate,this.rotationCenter="centroid",this.scaleCenter=null,this.rotationPoints=[],this.translationPoints=[],this.scalePoints=[],this.scaleDirections={},this.parents=[],h=s.isArray(o)?o:Array.prototype.slice.call(arguments,3),l=0;l<h.length;l++)c=this.board.select(h[l]),!c.visProp.fixed&&s.exists(c.coords)&&this.addPoint(c);this.methodMap={ungroup:"ungroup",add:"addPoint",addPoint:"addPoint",addPoints:"addPoints",addGroup:"addGroup",remove:"removePoint",removePoint:"removePoint",setAttribute:"setAttribute",setProperty:"setAttribute"}},t.extend(t.Group.prototype,{ungroup:function(){var t,e,i;for(t in this.objects)this.objects.hasOwnProperty(t)&&(e=this.objects[t].point,s.isArray(e.groups)&&(i=s.indexOf(e.groups,this.id),i>=0&&delete e.groups[i]));return this.objects={},this},addParents:function(t){var e,i,r;for(r=s.isArray(t)?t:arguments,i=r.length,e=0;i>e;++e)s.isId(this.board,r[e])?this.parents.push(r[e]):s.exists(r[e].id)&&this.parents.push(r[e].id);this.parents=s.uniqueArray(this.parents)},setParents:function(t){this.parents=[],this.addParents(t)},getParents:function(){return s.isArray(this.parents)?this.parents:[]},update:function(t){var e,o,n,a,h,l,c,d,u,p=null;if(!this.needsUpdate)return this;if(t=this._update_find_drag_type(),"nothing"===t.action)return this;if(p=this.objects[t.id].point,"translation"===t.action)d=[p.coords.usrCoords[1]-this.coords[t.id].usrCoords[1],p.coords.usrCoords[2]-this.coords[t.id].usrCoords[2]];else if("rotation"===t.action||"scaling"===t.action){if(o="rotation"===t.action?"rotationCenter":"scaleCenter",s.isPoint(this[o]))u=this[o].coords.usrCoords.slice(1);else if("centroid"===this[o])u=this._update_centroid_center();else if(s.isArray(this[o]))u=this[o];else{if(!s.isFunction(this[o]))return this;u=this[o]()}if("rotation"===t.action)c=r.rad(this.coords[t.id].usrCoords.slice(1),u,this.objects[t.id].point),d=this.board.create("transform",[c,u[0],u[1]],{type:"rotate"}),d.update();else{if("scaling"!==t.action)return this;if(a=r.distance(this.coords[t.id].usrCoords.slice(1),u),Math.abs(a)<i.eps)return this;a=r.distance(p.coords.usrCoords.slice(1),u)/a,h=this.scaleDirections[t.id].indexOf("x")>=0?a:1,l=this.scaleDirections[t.id].indexOf("y")>=0?a:1,d=this.board.create("transform",[1,0,0,u[0]*(1-h),h,0,u[1]*(1-l),0,l],{type:"generic"}),d.update()}}this._update_apply_transformation(t,d),this.needsUpdate=!1;for(e in this.objects)if(this.objects.hasOwnProperty(e))for(n in this.objects[e].descendants)this.objects[e].descendants.hasOwnProperty(n)&&(this.objects[e].descendants.needsUpdate=this.objects[e].descendants.needsRegularUpdate||this.board.needsFullUpdate);this.board.updateElements(t);for(e in this.objects)this.objects.hasOwnProperty(e)&&(p=this.objects[e].point,this.coords[p.id]={usrCoords:p.coords.usrCoords.slice(0)});return this},_update_find_drag_type:function(){var t,r,o,n="nothing",a=[];for(t in this.objects)this.objects.hasOwnProperty(t)&&(r=this.objects[t].point,r.coords.distance(e.COORDS_BY_USER,this.coords[t])>i.eps&&a.push(r.id));return 0===a.length?{action:n,id:"",changed:a}:(o=a[0],r=this.objects[o].point,a.length>1?n="translation":s.isInArray(this.rotationPoints,r)&&s.exists(this.rotationCenter)?n="rotation":s.isInArray(this.scalePoints,r)&&s.exists(this.scaleCenter)?n="scaling":s.isInArray(this.translationPoints,r)&&(n="translation"),{action:n,id:o,changed:a})},_update_centroid_center:function(){var t,e,i;t=[0,0],e=0;for(i in this.coords)this.coords.hasOwnProperty(i)&&(t[0]+=this.coords[i].usrCoords[1],t[1]+=this.coords[i].usrCoords[2],++e);return e>0&&(t[0]/=e,t[1]/=e),t},_update_apply_transformation:function(t,r){var o,n;for(o in this.objects)this.objects.hasOwnProperty(o)&&(s.exists(this.board.objects[o])?(n=this.objects[o].point,n.id!==t.id?"translation"===t.action?s.isInArray(t.changed,n.id)||n.coords.setCoordinates(e.COORDS_BY_USER,[this.coords[o].usrCoords[1]+r[0],this.coords[o].usrCoords[2]+r[1]]):("rotation"===t.action||"scaling"===t.action)&&r.applyOnce([n]):("rotation"===t.action||"scaling"===t.action)&&n.coords.setCoordinates(e.COORDS_BY_USER,i.matVecMult(r.matrix,this.coords[n.id].usrCoords))):delete this.objects[o])},addPoint:function(t){return this.objects[t.id]={point:this.board.select(t)},this.coords[t.id]={usrCoords:t.coords.usrCoords.slice(0)},this.translationPoints.push(t),t.groups.push(this.id),t.groups=s.uniqueArray(t.groups),this},addPoints:function(t){var e;for(e=0;e<t.length;e++)this.addPoint(t[e]);return this},addGroup:function(t){var e;for(e in t.objects)t.objects.hasOwnProperty(e)&&this.addPoint(t.objects[e].point);return this},removePoint:function(t){return delete this.objects[t.id],this},setRotationCenter:function(t){return this.rotationCenter=t,this},setRotationPoints:function(t){return this._setActionPoints("rotation",t)},addRotationPoint:function(t){return this._addActionPoint("rotation",t)},removeRotationPoint:function(t){return this._removeActionPoint("rotation",t)},setTranslationPoints:function(t){return this._setActionPoints("translation",t)},addTranslationPoint:function(t){return this._addActionPoint("translation",t)},removeTranslationPoint:function(t){return this._removeActionPoint("translation",t)},setScaleCenter:function(t){return this.scaleCenter=t,this},setScalePoints:function(t,e){var i,r,o;for(i=s.isArray(t)?t:arguments,o=i.length,r=0;o>r;++r)this.scaleDirections[this.board.select(i[r]).id]=e||"xy";return this._setActionPoints("scale",t)},addScalePoint:function(t,e){return this._addActionPoint("scale",t),this.scaleDirections[this.board.select(t).id]=e||"xy",this},removeScalePoint:function(t){return this._removeActionPoint("scale",t)},_setActionPoints:function(t,e){var i,r,o;for(i=s.isArray(e)?e:arguments,o=i.length,this[t+"Points"]=[],r=0;o>r;++r)this._addActionPoint(t,i[r]);return this},_addActionPoint:function(t,e){return this[t+"Points"].push(this.board.select(e)),this},_removeActionPoint:function(t,e){var i=this[t+"Points"].indexOf(this.board.select(e));return i>-1&&this[t+"Points"].splice(i,1),this},setProperty:function(){t.deprecated("Group.setProperty","Group.setAttribute()"),this.setAttribute.apply(this,arguments)},setAttribute:function(){var t;for(t in this.objects)this.objects.hasOwnProperty(t)&&this.objects[t].point.setAttribute.apply(this.objects[t].point,arguments);return this}}),t.createGroup=function(e,i,r){var o=s.copyAttributes(r,e.options,"group"),n=new t.Group(e,o.id,o.name,i,o);return n.elType="group",n.setParents(i),n},t.registerElement("group",t.createGroup),{Group:t.Group,createGroup:t.createGroup}}),define("element/conic",["jxg","base/constants","base/coords","math/math","math/numerics","math/geometry","utils/type","base/point","base/curve"],function(t,e,i,r,s,o,n,a,h){"use strict";return t.createEllipse=function(t,r,s){var o,a,h,l,c,d,u,p=[],f=n.copyAttributes(s,t.options,"conic","foci"),m=n.copyAttributes(s,t.options,"conic");for(d=0;2>d;d++)if(r[d].length>1)p[d]=t.create("point",r[d],f);else if(n.isPoint(r[d]))p[d]=t.select(r[d]);else if(n.isFunction(r[d])&&n.isPoint(r[d]()))p[d]=r[d]();else{if(!n.isString(r[d]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");p[d]=t.select(r[d])}if(n.isNumber(r[2]))c=n.createFunction(r[2],t);else if(n.isFunction(r[2])&&n.isNumber(r[2]()))c=r[2];else{if(n.isPoint(r[2]))l=t.select(r[2]);else if(r[2].length>1)l=t.create("point",r[2],f);else if(n.isFunction(r[2])&&n.isPoint(r[2]()))l=r[2]();else{if(!n.isString(r[2]))throw new Error("JSXGraph: Can't create Ellipse with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");l=t.select(r[2])}c=function(){return l.Dist(p[0])+l.Dist(p[1])}}for(n.exists(r[4])||(r[4]=2*Math.PI),n.exists(r[3])||(r[3]=0),h=t.create("point",[function(){return.5*(p[0].X()+p[1].X())},function(){return.5*(p[0].Y()+p[1].Y())}],f),a=t.create("curve",[function(t){return 0},function(t){return 0},r[3],r[4]],m),a.majorAxis=c,u=a.hasPoint,o=function(t,e){var i,r,s,o,n,h,l,d,u;e||(i=c(),r=i*i,s=p[0].X(),o=p[0].Y(),n=p[1].X(),h=p[1].Y(),l=s-n,d=o-h,u=(r-s*s-o*o+n*n+h*h)/(2*i),a.quadraticform=[[u*u-n*n-h*h,u*l/i+n,u*d/i+h],[u*l/i+n,l*l/r-1,l*d/r],[u*d/i+h,l*d/r,d*d/r-1]])},a.X=function(t,e){var i=c(),r=p[1].Dist(p[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)-i),n=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return e||o(t,e),p[0].X()+Math.cos(n+t)*s},a.Y=function(t,e){var i=c(),r=p[1].Dist(p[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)-i),o=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(o+t)*s},a.midpoint=h,a.type=e.OBJECT_TYPE_CONIC,a.hasPoint=function(t,r){var s,o,n,a,h;return this.visProp.hasinnerpoints?(s=p[0].coords,o=p[1].coords,n=this.majorAxis(),a=new i(e.COORDS_BY_SCREEN,[t,r],this.board),h=a.distance(e.COORDS_BY_USER,s)+a.distance(e.COORDS_BY_USER,o),n>=h):u.apply(this,arguments)},h.addChild(a),d=0;2>d;d++)n.isPoint(p[d])&&p[d].addChild(a);return n.isPoint(l)&&l.addChild(a),a.setParents(r),a},t.createHyperbola=function(t,i,r){var s,o,a,h,l,c,d=[],u=n.copyAttributes(r,t.options,"conic","foci"),p=n.copyAttributes(r,t.options,"conic");for(c=0;2>c;c++)if(i[c].length>1)d[c]=t.create("point",i[c],u);else if(n.isPoint(i[c]))d[c]=t.select(i[c]);else if(n.isFunction(i[c])&&n.isPoint(i[c]()))d[c]=i[c]();else{if(!n.isString(i[c]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");d[c]=t.select(i[c])}if(n.isNumber(i[2]))l=n.createFunction(i[2],t);else if(n.isFunction(i[2])&&n.isNumber(i[2]()))l=i[2];else{if(n.isPoint(i[2]))h=t.select(i[2]);else if(i[2].length>1)h=t.create("point",i[2],u);else if(n.isFunction(i[2])&&n.isPoint(i[2]()))h=i[2]();else{if(!n.isString(i[2]))throw new Error("JSXGraph: Can't create Hyperbola with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"' and '"+typeof i[2]+"'.\nPossible parent types: [point,point,point], [point,point,number|function]");h=t.select(i[2])}l=function(){return h.Dist(d[0])-h.Dist(d[1])}}for(n.exists(i[4])||(i[4]=1.0001*Math.PI),n.exists(i[3])||(i[3]=-1.0001*Math.PI),a=t.create("point",[function(){return.5*(d[0].X()+d[1].X())},function(){return.5*(d[0].Y()+d[1].Y())}],u),o=t.create("curve",[function(t){return 0},function(t){return 0},i[3],i[4]],p),o.majorAxis=l,s=function(t,e){var i,r,s,n,a,h,c,u,p;e||(i=l(),r=i*i,s=d[0].X(),n=d[0].Y(),a=d[1].X(),h=d[1].Y(),c=s-a,u=n-h,p=(r-s*s-n*n+a*a+h*h)/(2*i),o.quadraticform=[[p*p-a*a-h*h,p*c/i+a,p*u/i+h],[p*c/i+a,c*c/r-1,c*u/r],[p*u/i+h,c*u/r,u*u/r-1]])},o.X=function(t,e){var i=l(),r=d[1].Dist(d[0]),o=.5*(r*r-i*i)/(r*Math.cos(t)+i),n=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return e||s(t,e),d[0].X()+Math.cos(n+t)*o},o.Y=function(t,e){var i=l(),r=d[1].Dist(d[0]),s=.5*(r*r-i*i)/(r*Math.cos(t)+i),o=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(o+t)*s},o.midpoint=a,o.type=e.OBJECT_TYPE_CONIC,a.addChild(o),c=0;2>c;c++)n.isPoint(d[c])&&d[c].addChild(o);return n.isPoint(h)&&h.addChild(o),o.setParents(i),o},t.createParabola=function(t,i,r){var s,a,h,l=i[0],c=i[1],d=n.copyAttributes(r,t.options,"conic","foci"),u=n.copyAttributes(r,t.options,"conic");if(i[0].length>1)l=t.create("point",i[0],d);else if(n.isPoint(i[0]))l=t.select(i[0]);else if(n.isFunction(i[0])&&n.isPoint(i[0]()))l=i[0]();else{if(!n.isString(i[0]))throw new Error("JSXGraph: Can't create Parabola with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [point,line]");l=t.select(i[0])}return n.exists(i[3])||(i[3]=10),n.exists(i[2])||(i[2]=-10),h=t.create("point",[function(){return o.projectPointToLine(l,c,t).usrCoords}],d),a=t.create("curve",[function(t){return 0},function(t){return 0},i[2],i[3]],u),s=function(t,e){var i,r,s,o,n,h;e||(i=c.stdform[1],r=c.stdform[2],s=c.stdform[0],o=i*i+r*r,n=l.X(),h=l.Y(),a.quadraticform=[[s*s-o*(n*n+h*h),s*i+o*n,s*r+o*h],[s*i+o*n,-r*r,i*r],[s*r+o*h,i*r,-i*i]])},a.X=function(t,e){var i,r,n=c.getAngle(),a=o.distPointLine(l.coords.usrCoords,c.stdform),h=c.point1.coords.usrCoords,d=c.point2.coords.usrCoords,u=l.coords.usrCoords;return 0===h[0]?h=[1,d[1]+c.stdform[2],d[2]-c.stdform[1]]:0===d[0]&&(d=[1,h[1]+c.stdform[2],h[2]-c.stdform[1]]),r=(d[1]-h[1])*(u[2]-h[2])-(d[2]-h[2])*(u[1]-h[1])>=0?1:-1,i=r*a/(1-Math.sin(t)),e||s(t,e),l.X()+Math.cos(t+n)*i},a.Y=function(t,e){var i,r,s=c.getAngle(),n=o.distPointLine(l.coords.usrCoords,c.stdform),a=c.point1.coords.usrCoords,h=c.point2.coords.usrCoords,d=l.coords.usrCoords;return 0===a[0]?a=[1,h[1]+c.stdform[2],h[2]-c.stdform[1]]:0===h[0]&&(h=[1,a[1]+c.stdform[2],a[2]-c.stdform[1]]),r=(h[1]-a[1])*(d[2]-a[2])-(h[2]-a[2])*(d[1]-a[1])>=0?1:-1,i=r*n/(1-Math.sin(t)),l.Y()+Math.sin(t+s)*i},a.type=e.OBJECT_TYPE_CONIC,h.addChild(a),n.isPoint(l)&&l.addChild(a),c.addChild(a),a.setParents(i),a},t.createConic=function(i,o,a){var h,l,c,d,u,p,f,m,g,b,v,y,C,P,_=[[1,0,0],[0,1,0],[0,0,1]],S=[[1,0,0],[0,1,0],[0,0,1]],E=[],x=[],w=n.copyAttributes(a,i.options,"conic","foci"),O=n.copyAttributes(a,i.options,"conic");if(5===o.length)P=!0;else{if(6!==o.length)throw new Error("JSXGraph: Can't create generic Conic with "+o.length+" parameters.");P=!1}if(P)for(y=0;5>y;y++)if(o[y].length>1)E[y]=i.create("point",o[y],w);else if(n.isPoint(o[y]))E[y]=i.select(o[y]);else if(n.isFunction(o[y])&&n.isPoint(o[y]()))E[y]=o[y]();else{if(!n.isString(o[y]))throw new Error("JSXGraph: Can't create Conic section with parent types '"+typeof o[y]+"'.\nPossible parent types: [point,point,point,point,point], [a00,a11,a22,a01,a02,a12]");E[y]=i.select(o[y])}else C=[[0,0,0],[0,0,0],[0,0,0]],C[0][0]=n.isFunction(o[2])?function(){return o[2]()}:function(){return o[2]},C[0][1]=n.isFunction(o[4])?function(){return o[4]()}:function(){return o[4]},C[0][2]=n.isFunction(o[5])?function(){return o[5]()}:function(){return o[5]},C[1][1]=n.isFunction(o[0])?function(){return o[0]()}:function(){return o[0]},C[1][2]=n.isFunction(o[3])?function(){return o[3]()}:function(){return o[3]},C[2][2]=n.isFunction(o[1])?function(){return o[1]()}:function(){return o[1]};if(u=function(t){var e,i;for(e=0;3>e;e++)for(i=e;3>i;i++)t[e][i]+=t[i][e];for(e=0;3>e;e++)for(i=0;e>i;i++)t[e][i]=t[i][e];return t},d=function(t,e){var i,r,s=[[0,0,0],[0,0,0],[0,0,0]];for(i=0;3>i;i++)for(r=0;3>r;r++)s[i][r]=t[i]*e[r];return u(s)},c=function(t,e,i){var s,o,n,a,h,l=[[0,0,0],[0,0,0],[0,0,0]];for(h=r.matVecMult(e,i),n=r.innerProduct(i,h),h=r.matVecMult(t,i),a=r.innerProduct(i,h),s=0;3>s;s++)for(o=0;3>o;o++)l[s][o]=n*t[s][o]-a*e[s][o];return l},l=i.create("curve",[function(t){return 0},function(t){return 0},0,2*Math.PI],O),h=function(e,i){var o,n,a,h;if(!i){if(P){for(o=0;5>o;o++)x[o]=E[o].coords.usrCoords;b=d(r.crossProduct(x[0],x[1]),r.crossProduct(x[2],x[3])),v=d(r.crossProduct(x[0],x[2]),r.crossProduct(x[1],x[3])),S=c(b,v,x[4])}else for(o=0;3>o;o++)for(n=o;3>n;n++)S[o][n]=C[o][n](),n>o&&(S[n][o]=S[o][n]);for(l.quadraticform=S,p=s.Jacobi(S),p[0][0][0]<0&&(p[0][0][0]*=-1,p[0][1][1]*=-1,p[0][2][2]*=-1),o=0;3>o;o++){for(a=0,n=0;3>n;n++)a+=p[1][n][o]*p[1][n][o];a=Math.sqrt(a)}_=p[1],g=Math.sqrt(Math.abs(p[0][0][0])),f=Math.sqrt(Math.abs(p[0][1][1])),m=Math.sqrt(Math.abs(p[0][2][2]))}return p[0][1][1]<=0&&p[0][2][2]<=0?h=r.matVecMult(_,[1/g,Math.cos(e)/f,Math.sin(e)/m]):p[0][1][1]<=0&&p[0][2][2]>0?h=r.matVecMult(_,[Math.cos(e)/g,1/f,Math.sin(e)/m]):p[0][2][2]<0&&(h=r.matVecMult(_,[Math.sin(e)/g,Math.cos(e)/f,1/m])),t.exists(h)?(h[1]/=h[0],h[2]/=h[0],h[0]=1):h=[1,NaN,NaN],h},l.X=function(t,e){return h(t,e)[1]},l.Y=function(t,e){return h(t,e)[2]},l.midpoint=i.create("point",[function(){var t=l.quadraticform;return[t[1][1]*t[2][2]-t[1][2]*t[1][2],t[1][2]*t[0][2]-t[2][2]*t[0][1],t[0][1]*t[1][2]-t[1][1]*t[0][2]]}],w),l.type=e.OBJECT_TYPE_CONIC,P){for(y=0;5>y;y++)n.isPoint(E[y])&&E[y].addChild(l);l.setParents(o)}return l.addChild(l.midpoint),l},t.registerElement("ellipse",t.createEllipse),t.registerElement("hyperbola",t.createHyperbola),t.registerElement("parabola",t.createParabola),t.registerElement("conic",t.createConic),{createEllipse:t.createEllipse,createHyperbola:t.createHyperbola,createParabola:t.createParabola,createConic:t.createConic}}),define("base/polygon",["jxg","base/constants","base/coords","math/statistics","math/geometry","utils/type","base/element","base/line","base/transformation"],function(t,e,i,r,s,o,n,a,h){"use strict";return t.Polygon=function(i,r,s){this.constructor(i,s,e.OBJECT_TYPE_POLYGON,e.OBJECT_CLASS_AREA);var n,a,h,l,c,d=o.copyAttributes(s,i.options,"polygon","borders");for(this.withLines=s.withlines,this.attr_line=d,this.vertices=[],n=0;n<r.length;n++)a=this.board.select(r[n]),this.vertices[n]=a;if(this.vertices.length>0&&this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.borders=[],this.withLines)for(l=this.vertices.length-1,c=0;l>c;c++)n=(c+1)%l,d.id=d.ids&&d.ids[n],d.name=d.names&&d.names[n],d.strokecolor=o.isArray(d.colors)&&d.colors[n%d.colors.length]||d.strokecolor,d.visible=o.exists(s.borders.visible)?s.borders.visible:s.visible,d.strokecolor===!1&&(d.strokecolor="none"),h=i.create("segment",[this.vertices[n],this.vertices[n+1]],d),h.dump=!1,this.borders[n]=h,h.parentPolygon=this;for(this.id=this.board.setId(this,"Py"),n=0;n<this.vertices.length-1;n++)a=this.board.select(this.vertices[n]),a.addChild(this);this.board.renderer.drawPolygon(this),this.board.finalizeAdding(this),this.createGradient(),this.elType="polygon",this.createLabel(),this.methodMap=t.deepCopy(this.methodMap,{borders:"borders",vertices:"vertices",A:"Area",Area:"Area",boundingBox:"boundingBox",bounds:"bounds",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints"})},t.Polygon.prototype=new n,t.extend(t.Polygon.prototype,{hasPoint:function(t,e){var i,r,s,o=!1;if(this.visProp.hasinnerpoints)for(s=this.vertices.length,i=0,r=s-2;s-1>i;r=i++)this.vertices[i].coords.scrCoords[2]>e!=this.vertices[r].coords.scrCoords[2]>e&&t<(this.vertices[r].coords.scrCoords[1]-this.vertices[i].coords.scrCoords[1])*(e-this.vertices[i].coords.scrCoords[2])/(this.vertices[r].coords.scrCoords[2]-this.vertices[i].coords.scrCoords[2])+this.vertices[i].coords.scrCoords[1]&&(o=!o);else for(s=this.borders.length,i=0;s>i;i++)if(this.borders[i].hasPoint(t,e)){o=!0;break}return o},updateRenderer:function(){return this.needsUpdate&&this.visProp.visible&&(this.board.renderer.updatePolygon(this),this.needsUpdate=!1),this.hasLabel&&this.label.visProp.visible&&(this.label.update(),this.board.renderer.updateText(this.label)),this},getTextAnchor:function(){var t,r,s,o,n;if(0===this.vertices.length)return new i(e.COORDS_BY_USER,[1,0,0],this.board);for(t=this.vertices[0].X(),r=this.vertices[0].Y(),s=t,o=r,n=0;n<this.vertices.length;n++)this.vertices[n].X()<t&&(t=this.vertices[n].X()),this.vertices[n].X()>s&&(s=this.vertices[n].X()),this.vertices[n].Y()>r&&(r=this.vertices[n].Y()),this.vertices[n].Y()<o&&(o=this.vertices[n].Y());return new i(e.COORDS_BY_USER,[.5*(t+s),.5*(r+o)],this.board)},getLabelAnchor:t.shortcut(t.Polygon.prototype,"getTextAnchor"),cloneToBackground:function(){var t,e={};return e.id=this.id+"T"+this.numTraces,this.numTraces++,e.vertices=this.vertices,e.visProp=o.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,o.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(t){var e;if(this.visProp.visible=!1,this.board.renderer.hide(this),!t)for(e=0;e<this.borders.length;e++)this.borders[e].hideElement();this.hasLabel&&o.exists(this.label)&&(this.label.hiddenByParent=!0,this.label.visProp.visible&&this.label.hideElement())},showElement:function(t){var e;if(this.visProp.visible=!0,this.board.renderer.show(this),!t)for(e=0;e<this.borders.length;e++)this.borders[e].showElement(),this.borders[e].updateRenderer();o.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visProp.visible||this.label.showElement().updateRenderer())},Area:function(){return Math.abs(s.signedPolygon(this.vertices,!0))},boundingBox:function(){var t,e,i=[0,0,0,0],r=this.vertices.length-1;if(0===r)return i;for(i[0]=this.vertices[0].X(),i[2]=i[0],i[1]=this.vertices[0].Y(),i[3]=i[1],t=1;r>t;++t)e=this.vertices[t].X(),e<i[0]?i[0]=e:e>i[2]&&(i[2]=e),e=this.vertices[t].Y(),e>i[1]?i[1]=e:e<i[3]&&(i[3]=e);return i},bounds:function(){return this.boundingBox()},remove:function(){var t;for(t=0;t<this.borders.length;t++)this.board.removeObject(this.borders[t]);n.prototype.remove.call(this)},findPoint:function(t){var e;if(!o.isPoint(t))return-1;for(e=0;e<this.vertices.length;e++)if(this.vertices[e].id===t.id)return e;return-1},addPoints:function(t){var e=Array.prototype.slice.call(arguments);return this.insertPoints.apply(this,[this.vertices.length-2].concat(e))},insertPoints:function(t,e){var i,r,s=[];if(0===arguments.length)return this;if(0>t||t>this.vertices.length-2)return this;for(i=1;i<arguments.length;i++)o.isPoint(arguments[i])&&s.push(arguments[i]);if(r=this.vertices.slice(0,t+1).concat(s),this.vertices=r.concat(this.vertices.slice(t+1)),this.withLines){for(r=this.borders.slice(0,t),this.board.removeObject(this.borders[t]),i=0;i<s.length;i++)r.push(this.board.create("segment",[this.vertices[t+i],this.vertices[t+i+1]],this.attr_line));r.push(this.board.create("segment",[this.vertices[t+s.length],this.vertices[t+s.length+1]],this.attr_line)),this.borders=r.concat(this.borders.slice(t))}return this.board.update(),this},removePoints:function(t){var e,i,r,s=[],n=[],a=[],h=[];for(this.vertices=this.vertices.slice(0,this.vertices.length-1),e=0;e<arguments.length;e++)o.isPoint(arguments[e])&&(r=this.findPoint(arguments[e])),o.isNumber(r)&&r>-1&&r<this.vertices.length&&-1===o.indexOf(a,r)&&a.push(r);for(a=a.sort(),s=this.vertices.slice(),n=this.borders.slice(),this.withLines&&h.push([a[a.length-1]]),e=a.length-1;e>-1;e--)s[a[e]]=-1,this.withLines&&a[e]-1>a[e-1]&&(h[h.length-1][1]=a[e],h.push([a[e-1]]));for(this.withLines&&(h[h.length-1][1]=a[0]),this.vertices=[],e=0;e<s.length;e++)o.isPoint(s[e])&&this.vertices.push(s[e]);if(this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.withLines){for(e=0;e<h.length;e++){for(i=h[e][1]-1;i<h[e][0]+1;i++)0>i?(i=0,this.board.removeObject(this.borders[n.length-1]),n[n.length-1]=-1):i>n.length-1&&(i=n.length-1),this.board.removeObject(this.borders[i]),n[i]=-1;0!==h[e][1]&&h[e][0]!==s.length-1&&(n[h[e][0]-1]=this.board.create("segment",[s[Math.max(h[e][1]-1,0)],s[Math.min(h[e][0]+1,this.vertices.length-1)]],this.attr_line))}for(this.borders=[],e=0;e<n.length;e++)-1!==n[e]&&this.borders.push(n[e]);(5===h[0][1]||0===h[h.length-1][1])&&this.borders.push(this.board.create("segment",[this.vertices[0],this.vertices[this.vertices.length-2]],this.attr_line))}return this.board.update(),this},getParents:function(){return this.setParents(this.vertices),this.parents},getAttributes:function(){var t,e=n.prototype.getAttributes.call(this);if(this.withLines)for(e.lines=e.lines||{},e.lines.ids=[],e.lines.colors=[],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},snapToGrid:function(){var t;for(t=0;t<this.vertices.length;t++)this.vertices[t].snapToGrid()},setPositionDirectly:function(t,e,s){var o,n,a,h,l=new i(t,e,this.board),c=new i(t,s,this.board);for(h=this.vertices.length-1,a=0;h>a;a++)if(!this.vertices[a].draggable())return this;return o=r.subtract(l.usrCoords,c.usrCoords),n=this.board.create("transform",o.slice(1),{type:"translate"}),n.applyOnce(this.vertices.slice(0,-1)),this},sutherlandHodgman:function(e){var i,r,s,o,n,a,h,l=t.Math.Geometry.sortVertices(this.vertices),c=t.Math.Geometry.sortVertices(e.vertices),d=l.length-1,u=c.length-1,p=[],f=function(t,e,i){return(e[1]-t[1])*(i[2]-t[2])-(e[2]-t[2])*(i[1]-t[1])>=0};for(s=0;u>s;s++)p.push(c[s]);for(s=0;d>s;s++)for(r=p.slice(0),i=r.length,p=[],n=r[i-1],o=0;i>o;o++)a=r[o],f(l[s],l[s+1],a)?(f(l[s],l[s+1],n)||(h=t.Math.Geometry.meetSegmentSegment(n,a,l[s],l[s+1]),h[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),p.push(a)):f(l[s],l[s+1],n)&&(h=t.Math.Geometry.meetSegmentSegment(n,a,l[s],l[s+1]),h[0][1]/=h[0][0],h[0][2]/=h[0][0],h[0][0]=1,p.push(h[0])),n=a;return p},intersect:function(t){return this.sutherlandHodgman(t)}}),t.createPolygon=function(e,i,r){var s,n,a=[];if(a=o.providePoints(e,i,r,"polygon",["vertices"]),a===!1)throw new Error("JSXGraph: Can't create polygon with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates");return n=o.copyAttributes(r,e.options,"polygon"),s=new t.Polygon(e,a,n),s.isDraggable=!0,s},t.createRegularPolygon=function(t,i,r){var s,n,a,h,l,c,d,u=[];if(l=i.length,a=i[l-1],o.isNumber(a)&&(3!==i.length||3>a))throw new Error("JSXGraph: A regular polygon needs two point types and a number > 2 as input.");if(o.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),u=o.providePoints(t,i.slice(0,l),r,"regularpolygon",["vertices"]),u===!1)throw new Error("JSXGraph: Can't create regular polygon with parent types other than 'point' and 'coordinate arrays' or a function returning an array of coordinates");for(d=o.copyAttributes(r,t.options,"regularpolygon","vertices"),n=2;a>n;n++)h=t.create("transform",[Math.PI*(2-(a-2)/a),u[n-1]],{type:"rotate"}),c?(u[n].addTransform(u[n-2],h),u[n].prepareUpdate().update().updateRenderer()):(o.isArray(d.ids)&&d.ids.length>=a-2&&(d.id=d.ids[n-2]),u[n]=t.create("point",[u[n-2],h],d),u[n].type=e.OBJECT_TYPE_CAS,u[n].isDraggable=!0,u[n].visProp.fixed=!1);return d=o.copyAttributes(r,t.options,"polygon"),s=t.create("polygon",u,d),s.elType="regularpolygon",s},t.registerElement("polygon",t.createPolygon),t.registerElement("regularpolygon",t.createRegularPolygon),{Polygon:t.Polygon,createPolygon:t.createPolygon,createRegularPolygon:t.createRegularPolygon}}),define("element/arc",["jxg","math/geometry","math/math","base/coords","base/circle","utils/type","base/constants","base/curve","element/composition"],function(t,e,i,r,s,o,n,a,h){"use strict";return t.createArc=function(a,h,l){var c,d,u;if(u=o.providePoints(a,h,l,"point"),u===!1||u.length<3)throw new Error("JSXGraph: Can't create Arc with parent types '"+typeof h[0]+"' and '"+typeof h[1]+"' and '"+typeof h[2]+"'.\nPossible parent types: [point,point,point]");return d=o.copyAttributes(l,a.options,"arc"),c=a.create("curve",[[0],[0]],d),c.elType="arc",c.setParents(u),c.type=n.OBJECT_TYPE_ARC,c.center=u[0],c.radiuspoint=u[1],c.point2=c.radiuspoint,c.anglepoint=u[2],c.point3=c.anglepoint,c.center.addChild(c),c.radiuspoint.addChild(c),c.anglepoint.addChild(c),c.useDirection=d.usedirection,c.updateDataArray=function(){var t,i,r,s,o,n,a=1,h=this.radiuspoint,l=this.center,c=this.anglepoint;i=e.rad(h,l,c),("minor"===this.visProp.selection&&i>Math.PI||"major"===this.visProp.selection&&i<Math.PI)&&(a=-1),this.useDirection&&(s=u[1].coords.usrCoords,o=u[3].coords.usrCoords,n=u[2].coords.usrCoords,r=(s[1]-n[1])*(s[2]-o[2])-(s[2]-n[2])*(s[1]-o[1]),0>r?(this.radiuspoint=u[1],this.anglepoint=u[2]):(this.radiuspoint=u[2],this.anglepoint=u[1])),h=h.coords.usrCoords,l=l.coords.usrCoords,c=c.coords.usrCoords,t=e.bezierArc(h,l,c,!1,a),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3,this.updateStdform(),this.updateQuadraticform()},c.Radius=function(){return this.radiuspoint.Dist(this.center)},c.getRadius=function(){return t.deprecated("Arc.getRadius()","Arc.Radius()"),this.Radius()},c.Value=function(){return this.Radius()*e.rad(this.radiuspoint,this.center,this.anglepoint)},c.hasPoint=function(t,s){var o,a,h,l,c,d,u,p,f=this.board.options.precision.hasPoint/this.board.unitX,m=this.Radius();return a=new r(n.COORDS_BY_SCREEN,[t,s],this.board),this.transformations.length>0&&(this.updateTransformMatrix(),u=i.inverse(this.transformMat),p=i.matVecMult(u,a.usrCoords),a=new r(n.COORDS_BY_USER,p,this.board)),o=this.center.coords.distance(n.COORDS_BY_USER,a),h=Math.abs(o-m)<f,h&&(l=e.rad(this.radiuspoint,this.center,a.usrCoords.slice(1)),c=0,d=e.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===this.visProp.selection&&d>Math.PI||"major"===this.visProp.selection&&d<Math.PI)&&(c=d,d=2*Math.PI),(c>l||l>d)&&(h=!1)),h},c.hasPointSector=function(t,i){var s,o,a,h=new r(n.COORDS_BY_SCREEN,[t,i],this.board),l=this.Radius(),c=this.center.coords.distance(n.COORDS_BY_USER,h),d=l>c;return d&&(s=e.rad(this.radiuspoint,this.center,h.usrCoords.slice(1)),o=0,a=e.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(o=a,a=2*Math.PI),(o>s||s>a)&&(d=!1)),d},c.getTextAnchor=function(){return this.center.coords},c.getLabelAnchor=function(){var t,i,s,o,a=e.rad(this.radiuspoint,this.center,this.anglepoint),h=10/this.board.unitX,l=10/this.board.unitY,c=this.point2.coords.usrCoords,d=this.center.coords.usrCoords,u=c[1]-d[1],p=c[2]-d[2];return("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(a=-(2*Math.PI-a)),t=new r(n.COORDS_BY_USER,[d[1]+Math.cos(.5*a)*u-Math.sin(.5*a)*p,d[2]+Math.sin(.5*a)*u+Math.cos(.5*a)*p],this.board),i=t.usrCoords[1]-d[1],s=t.usrCoords[2]-d[2],o=Math.sqrt(i*i+s*s),i=i*(o+h)/o,s=s*(o+l)/o,new r(n.COORDS_BY_USER,[d[1]+i,d[2]+s],this.board)},c.updateQuadraticform=s.Circle.prototype.updateQuadraticform,c.updateStdform=s.Circle.prototype.updateStdform,c.methodMap=t.deepCopy(c.methodMap,{getRadius:"getRadius",radius:"Radius",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",Value:"Value"}),c.prepareUpdate().update(),c},t.registerElement("arc",t.createArc),t.createSemicircle=function(t,e,i){var r,s,n,a;if(a=o.providePoints(t,e,i,"point"),a===!1||2!==a.length)throw new Error("JSXGraph: Can't create Semicircle with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.\nPossible parent types: [point,point]");return n=o.copyAttributes(i,t.options,"semicircle","midpoint"),s=t.create("midpoint",a,n),s.dump=!1,n=o.copyAttributes(i,t.options,"semicircle"),r=t.create("arc",[s,a[1],a[0]],n),r.elType="semicircle",r.setParents([a[0].id,a[1].id]),r.subs={midpoint:s},r.midpoint=r.center=s,r},t.registerElement("semicircle",t.createSemicircle),t.createCircumcircleArc=function(t,e,i){var r,s,n,a;if(a=o.providePoints(t,e,i,"point"),a===!1||3!==a.length)throw new Error("JSXGraph: create Circumcircle Arc with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.\nPossible parent types: [point,point,point]");return n=o.copyAttributes(i,t.options,"circumcirclearc","center"),s=t.create("circumcenter",a,n),s.dump=!1,n=o.copyAttributes(i,t.options,"circumcirclearc"),n.usedirection=!0,r=t.create("arc",[s,a[0],a[2],a[1]],n),r.elType="circumcirclearc",r.setParents([a[0].id,a[1].id,a[2].id]),r.subs={center:s},r.center=s,r},t.registerElement("circumcirclearc",t.createCircumcircleArc),t.createMinorArc=function(e,i,r){return r.selection="minor",t.createArc(e,i,r)},t.registerElement("minorarc",t.createMinorArc),t.createMajorArc=function(e,i,r){
return r.selection="major",t.createArc(e,i,r)},t.registerElement("majorarc",t.createMajorArc),{createArc:t.createArc,createSemicircle:t.createSemicircle,createCircumcircleArc:t.createCircumcircleArc,createMinorArc:t.createMinorArc,createMajorArc:t.createMajorArc}}),define("element/sector",["jxg","math/geometry","math/math","math/statistics","base/coords","base/constants","utils/type","base/point","base/curve","base/transformation","element/composition"],function(t,e,i,r,s,o,n,a,h,l,c){"use strict";return t.createSector=function(a,h,l){var c,d,u,p,f,m="invalid",g=["center","radiuspoint","anglepoint"];if(h[0].elementClass===o.OBJECT_CLASS_LINE&&h[1].elementClass===o.OBJECT_CLASS_LINE&&(n.isArray(h[2])||n.isNumber(h[2]))&&(n.isArray(h[3])||n.isNumber(h[3]))&&(n.isNumber(h[4])||n.isFunction(h[4])))m="2lines";else{if(f=n.providePoints(a,h,l,"sector",g),f===!1)throw new Error("JSXGraph: Can't create Sector with parent types '"+typeof h[0]+"' and '"+typeof h[1]+"' and '"+typeof h[2]+"'.");m="3points"}return d=n.copyAttributes(l,a.options,"sector"),c=a.create("curve",[[0],[0]],d),c.type=o.OBJECT_TYPE_SECTOR,c.elType="sector","2lines"===m?(c.Radius=function(){return n.evaluate(h[4])},c.line1=a.select(h[0]),c.line2=a.select(h[1]),c.line1.addChild(c),c.line2.addChild(c),c.setParents(h),c.point1={visProp:{}},c.point2={visProp:{}},c.point3={visProp:{}},u=e.meetLineLine(c.line1.stdform,c.line2.stdform,0,a),n.isArray(h[2])?(2===h[2].length&&(h[2]=[1].concat(h[2])),p=e.projectPointToLine({coords:{usrCoords:h[2]}},c.line1,a),p=r.subtract(p.usrCoords,u.usrCoords),c.direction1=i.innerProduct(p,[0,c.line1.stdform[2],-c.line1.stdform[1]],3)>=0?1:-1):c.direction1=h[2]>=0?1:-1,n.isArray(h[3])?(2===h[3].length&&(h[3]=[1].concat(h[3])),p=e.projectPointToLine({coords:{usrCoords:h[3]}},c.line2,a),p=r.subtract(p.usrCoords,u.usrCoords),c.direction2=i.innerProduct(p,[0,c.line2.stdform[2],-c.line2.stdform[1]],3)>=0?1:-1):c.direction2=h[3]>=0?1:-1,c.updateDataArray=function(){var t,n,a,h,l=[0,0,0],d=[0,0,0],u=[0,0,0];return n=this.line1,a=this.line2,d=i.crossProduct(n.stdform,a.stdform),Math.abs(d[0])>i.eps*i.eps&&(d[1]/=d[0],d[2]/=d[0],d[0]/=d[0]),t=this.direction1*this.Radius(),l=r.add(d,[0,t*n.stdform[2],-t*n.stdform[1]]),t=this.direction2*this.Radius(),u=r.add(d,[0,t*a.stdform[2],-t*a.stdform[1]]),this.point2.coords=new s(o.COORDS_BY_USER,l,c.board),this.point1.coords=new s(o.COORDS_BY_USER,d,c.board),this.point3.coords=new s(o.COORDS_BY_USER,u,c.board),Math.abs(l[0])<i.eps||Math.abs(d[0])<i.eps||Math.abs(u[0])<i.eps?(this.dataX=[NaN],void(this.dataY=[NaN])):(h=e.bezierArc(l,d,u,!0,1),this.dataX=h[0],this.dataY=h[1],void(this.bezierDegree=3))},c.methodMap=t.deepCopy(c.methodMap,{radius:"getRadius",getRadius:"getRadius",setRadius:"setRadius"}),c.prepareUpdate().update()):"3points"===m&&(c.point1=f[0],c.point2=f[1],c.point3=f[2],c.point1.addChild(c),c.point2.addChild(c),c.point3.addChild(c),c.useDirection=l.usedirection,c.setParents(f),n.exists(f[3])&&(c.point4=f[3],c.point4.addChild(c)),c.methodMap=t.deepCopy(c.methodMap,{arc:"arc",center:"center",radiuspoint:"radiuspoint",anglepoint:"anglepoint",radius:"getRadius",getRadius:"getRadius",setRadius:"setRadius"}),c.updateDataArray=function(){var t,i,r,s,o,a,h=this.point2,l=this.point1,c=this.point3,d=1;return h.isReal&&l.isReal&&c.isReal?(a=e.rad(h,l,c),("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(d=-1),this.useDirection&&n.exists(this.point4)&&(r=this.point2.coords.usrCoords,s=this.point4.coords.usrCoords,o=this.point3.coords.usrCoords,i=(r[1]-o[1])*(r[2]-s[2])-(r[2]-o[2])*(r[1]-s[1]),i>=0&&(c=this.point2,h=this.point3)),h=h.coords.usrCoords,l=l.coords.usrCoords,c=c.coords.usrCoords,t=e.bezierArc(h,l,c,!0,d),this.dataX=t[0],this.dataY=t[1],void(this.bezierDegree=3)):(this.dataX=[NaN],void(this.dataY=[NaN]))},c.Radius=function(){return this.point2.Dist(this.point1)},d=n.copyAttributes(l,a.options,"sector","arc"),d.withLabel=!1,d.name+="_arc",c.arc=a.create("arc",[c.point1,c.point2,c.point3],d),c.addChild(c.arc)),c.center=c.point1,c.radiuspoint=c.point2,c.anglepoint=c.point3,c.hasPointCurve=function(t,i){var r,n,a,h=this.board.options.precision.hasPoint/this.board.unitX,l=new s(o.COORDS_BY_SCREEN,[t,i],this.board),c=this.Radius(),d=this.center.coords.distance(o.COORDS_BY_USER,l),u=Math.abs(d-c)<h;return u&&(r=e.rad(this.point2,this.center,l.usrCoords.slice(1)),n=0,a=e.rad(this.point2,this.center,this.point3),("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(n=a,a=2*Math.PI),(n>r||r>a)&&(u=!1)),u},c.hasPointSector=function(t,i){var r,n,a,h=new s(o.COORDS_BY_SCREEN,[t,i],this.board),l=this.Radius(),c=this.point1.coords.distance(o.COORDS_BY_USER,h),d=l>c;return d&&(r=e.rad(this.radiuspoint,this.center,h.usrCoords.slice(1)),n=0,a=e.rad(this.radiuspoint,this.center,this.anglepoint),("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(n=a,a=2*Math.PI),(n>r||r>a)&&(d=!1)),d},c.hasPoint=function(t,e){return this.visProp.highlightonsector||this.visProp.hasinnerpoints?this.hasPointSector(t,e):this.hasPointCurve(t,e)},c.getTextAnchor=function(){return this.point1.coords},c.getLabelAnchor=function(){var t,i,r,n,a=e.rad(this.point2,this.point1,this.point3),h=13/this.board.unitX,l=13/this.board.unitY,c=this.point2.coords.usrCoords,d=this.point1.coords.usrCoords,u=c[1]-d[1],p=c[2]-d[2];return("minor"===this.visProp.selection&&a>Math.PI||"major"===this.visProp.selection&&a<Math.PI)&&(a=-(2*Math.PI-a)),t=new s(o.COORDS_BY_USER,[d[1]+Math.cos(.5*a)*u-Math.sin(.5*a)*p,d[2]+Math.sin(.5*a)*u+Math.cos(.5*a)*p],this.board),i=t.usrCoords[1]-d[1],r=t.usrCoords[2]-d[2],n=Math.sqrt(i*i+r*r),i=i*(n+h)/n,r=r*(n+l)/n,new s(o.COORDS_BY_USER,[d[1]+i,d[2]+r],this.board)},c.setRadius=function(t){c.Radius=function(){return n.evaluate(t)}},c.getRadius=function(){return t.deprecated("Sector.getRadius()","Sector.Radius()"),this.Radius()},"3points"===m&&(c.setPositionDirectly=function(t,e,i){var o,n,a=new s(t,e,this.board),h=new s(t,i,this.board);return c.point1.draggable()&&c.point2.draggable()&&c.point3.draggable()?(o=r.subtract(a.usrCoords,h.usrCoords),n=this.board.create("transform",o.slice(1),{type:"translate"}),n.applyOnce([c.point1,c.point2,c.point3]),this):this}),c.prepareUpdate().update(),c},t.registerElement("sector",t.createSector),t.createCircumcircleSector=function(t,e,i){var r,s,o,a;if(a=n.providePoints(t,e,i,"point"),a===!1)throw new Error("JSXGraph: Can't create circumcircle sector with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"' and '"+typeof e[2]+"'.");return s=t.create("circumcenter",a.slice(0,3),o),s.dump=!1,o=n.copyAttributes(i,t.options,"circumcirclesector"),r=t.create("sector",[s,a[0],a[2],a[1]],o),r.elType="circumcirclesector",r.setParents(a),r.center=s,r.subs={center:s},r},t.registerElement("circumcirclesector",t.createCircumcircleSector),t.createMinorSector=function(e,i,r){return r.selection="minor",t.createSector(e,i,r)},t.registerElement("minorsector",t.createMinorSector),t.createMajorSector=function(e,i,r){return r.selection="major",t.createSector(e,i,r)},t.registerElement("majorsector",t.createMajorSector),t.createAngle=function(r,a,h){var l,c,d,u,p,f,m="invalid";if(a[0].elementClass===o.OBJECT_CLASS_LINE&&a[1].elementClass===o.OBJECT_CLASS_LINE&&(n.isArray(a[2])||n.isNumber(a[2]))&&(n.isArray(a[3])||n.isNumber(a[3])))m="2lines";else{if(f=n.providePoints(r,a,h,"point"),f===!1)throw new Error("JSXGraph: Can't create angle with parent types '"+typeof a[0]+"' and '"+typeof a[1]+"' and '"+typeof a[2]+"'.");m="3points"}if(d=n.copyAttributes(h,r.options,"angle"),n.exists(d.name)&&""!==d.name||(d.name=r.generateName({type:o.OBJECT_TYPE_ANGLE})),c=n.exists(d.radius)?d.radius:0,"2lines"===m?(a.push(c),l=r.create("sector",a,d),l.updateDataArraySector=l.updateDataArray,l.setAngle=function(t){},l.free=function(t){}):(l=r.create("sector",[f[1],f[0],f[2]],d),l.arc.visProp.priv=!0,l.point=l.point2=l.radiuspoint=f[0],l.pointsquare=l.point3=l.anglepoint=f[2],l.Radius=function(){return n.evaluate(c)},l.updateDataArraySector=function(){var t,i,r=this.point2,s=this.point1,o=this.point3,n=this.Radius(),a=s.Dist(r),h=1;i=e.rad(r,s,o),("minor"===this.visProp.selection&&i>Math.PI||"major"===this.visProp.selection&&i<Math.PI)&&(h=-1),r=r.coords.usrCoords,s=s.coords.usrCoords,o=o.coords.usrCoords,r=[1,s[1]+(r[1]-s[1])*n/a,s[2]+(r[2]-s[2])*n/a],o=[1,s[1]+(o[1]-s[1])*n/a,s[2]+(o[2]-s[2])*n/a],t=e.bezierArc(r,s,o,!0,h),this.dataX=t[0],this.dataY=t[1],this.bezierDegree=3},l.setAngle=function(t){var e,i=this.anglepoint,r=this.radiuspoint;return i.draggable()&&(e=this.board.create("transform",[t,this.center],{type:"rotate"}),i.addTransform(r,e),i.isDraggable=!1,i.setParents(r)),this},l.free=function(){var t=this.anglepoint;return t.transformations.length>0&&(t.transformations.pop(),t.isDraggable=!0,t.parents=[]),this},l.setParents(f)),t.exists(l.visProp.text)&&l.label.setText(l.visProp.text),l.elType="angle",l.type=o.OBJECT_TYPE_ANGLE,l.subs={},l.updateDataArraySquare=function(){var t,r,s,o,n,a,h,l,c=this.Radius();"2lines"===m&&this.updateDataArraySector(),t=this.point2,r=this.point1,s=this.point3,t=t.coords.usrCoords,r=r.coords.usrCoords,s=s.coords.usrCoords,o=e.distance(t,r,3),n=e.distance(s,r,3),t=[1,r[1]+(t[1]-r[1])*c/o,r[2]+(t[2]-r[2])*c/o],s=[1,r[1]+(s[1]-r[1])*c/n,r[2]+(s[2]-r[2])*c/n],a=i.crossProduct(s,r),h=[-t[1]*a[1]-t[2]*a[2],t[0]*a[1],t[0]*a[2]],a=i.crossProduct(t,r),l=[-s[1]*a[1]-s[2]*a[2],s[0]*a[1],s[0]*a[2]],a=i.crossProduct(h,l),a[1]/=a[0],a[2]/=a[0],this.dataX=[r[1],t[1],a[1],s[1],r[1]],this.dataY=[r[2],t[2],a[2],s[2],r[2]],this.bezierDegree=1},l.updateDataArrayNone=function(){this.dataX=[NaN],this.dataY=[NaN],this.bezierDegree=1},l.updateDataArray=function(){var t=this.visProp.type,r=e.trueAngle(this.point2,this.point1,this.point3);("minor"===this.visProp.selection&&r>180||"major"===this.visProp.selection&&180>r)&&(r=360-r),Math.abs(r-90)<this.visProp.orthosensitivity+i.eps&&(t=this.visProp.orthotype),"none"===t?this.updateDataArrayNone():"square"===t?this.updateDataArraySquare():"sector"===t?this.updateDataArraySector():"sectordot"===t&&(this.updateDataArraySector(),this.dot.visProp.visible||this.dot.setAttribute({visible:!0})),(!this.visProp.visible||"sectordot"!==t&&this.dot.visProp.visible)&&this.dot.setAttribute({visible:!1})},u=n.copyAttributes(h,r.options,"angle","dot"),l.dot=r.create("point",[function(){var t,r,s,o,a,h,c,d;return n.exists(l.dot)&&!l.dot.visProp.visible?[0,0]:(t=l.point2.coords.usrCoords,r=l.point1.coords.usrCoords,s=l.Radius(),o=e.distance(t,r,3),a=e.rad(l.point2,l.point1,l.point3),("minor"===l.visProp.selection&&a>Math.PI||"major"===l.visProp.selection&&a<Math.PI)&&(a=-(2*Math.PI-a)),a*=.5,h=Math.cos(a),c=Math.sin(a),t=[1,r[1]+(t[1]-r[1])*s/o,r[2]+(t[2]-r[2])*s/o],d=[[1,0,0],[r[1]-.5*r[1]*h+.5*r[2]*c,.5*h,.5*-c],[r[2]-.5*r[1]*c-.5*r[2]*h,.5*c,.5*h]],i.matVecMult(d,t))}],u),l.dot.dump=!1,l.subs.dot=l.dot,"2lines"===m)for(p=0;2>p;p++)r.select(a[p]).addChild(l.dot);else for(p=0;3>p;p++)r.select(f[p]).addChild(l.dot);return l.getLabelAnchor=function(){var t,r,a,h,c,d,u,p,f,m=12,g=12;return n.exists(this.label.visProp.fontSize)&&(m=this.label.visProp.fontSize,g=this.label.visProp.fontSize),m/=this.board.unitX,g/=this.board.unitY,r=l.point2.coords.usrCoords,a=l.point1.coords.usrCoords,h=l.Radius(),c=e.distance(r,a,3),d=e.rad(l.point2,l.point1,l.point3),("minor"===l.visProp.selection&&d>Math.PI||"major"===l.visProp.selection&&d<Math.PI)&&(d=-(2*Math.PI-d)),d*=.5,u=Math.cos(d),p=Math.sin(d),r=[1,a[1]+(r[1]-a[1])*h/c,a[2]+(r[2]-a[2])*h/c],f=[[1,0,0],[a[1]-.5*a[1]*u+.5*a[2]*p,.5*u,.5*-p],[a[2]-.5*a[1]*p-.5*a[2]*u,.5*p,.5*u]],t=i.matVecMult(f,r),t[1]/=t[0],t[2]/=t[0],t[0]/=t[0],c=e.distance(t,a,3),t=[t[0],a[1]+(t[1]-a[1])*(h+m)/c,a[2]+(t[2]-a[2])*(h+m)/c],new s(o.COORDS_BY_USER,t,this.board)},l.Value=function(){return e.rad(this.point2,this.point1,this.point3)},l.methodMap=n.deepCopy(l.methodMap,{Value:"Value",setAngle:"setAngle",free:"free"}),l},t.registerElement("angle",t.createAngle),t.createNonreflexAngle=function(i,r,s){var o;return s.selection="minor",o=t.createAngle(i,r,s),o.Value=function(){var t=e.rad(this.point2,this.point1,this.point3);return t<Math.PI?t:2*Math.PI-t},o},t.registerElement("nonreflexangle",t.createNonreflexAngle),t.createReflexAngle=function(i,r,s){var o;return s.selection="major",o=t.createAngle(i,r,s),o.Value=function(){var t=e.rad(this.point2,this.point1,this.point3);return t>=Math.PI?t:2*Math.PI-t},o},t.registerElement("reflexangle",t.createReflexAngle),{createSector:t.createSector,createCircumcircleSector:t.createCircumcircleSector,createMinorSector:t.createMinorSector,createMajorSector:t.createMajorSector,createAngle:t.createAngle,createReflexAngle:t.createReflexAngle,createNonreflexAngle:t.createNonreflexAngle}}),define("element/locus",["jxg","math/symbolic","utils/type","base/constants","base/curve"],function(t,e,i,r,s){"use strict";return t.createLocus=function(t,r,s){var o,n;if(!i.isArray(r)||1!==r.length||!i.isPoint(r[0]))throw new Error("JSXGraph: Can't create locus with parent of type other than point.\nPossible parent types: [point]");return n=r[0],o=t.create("curve",[[null],[null]],s),o.dontCallServer=!1,o.elType="locus",o.setParents([n.id]),o.updateDataArray=function(){var i,r,s;o.board.mode>0||(i=e.generatePolynomials(t,n,!0).join("|"),i!==o.spe&&(o.spe=i,r=function(t,e,i,r){o.dataX=t,o.dataY=e,o.eq=i,o.ctime=r,o.generatePolynomial=function(t){return function(e){var i,r="("+e.symbolic.x+")",s="("+e.symbolic.y+")",o=[];for(i=0;i<t.length;i++)o[i]=t[i].replace(/\*\*/g,"^").replace(/x/g,r).replace(/y/g,s);return o}}(i)},s=e.geometricLocusByGroebnerBase(t,n,r),r(s.datax,s.datay,s.polynomial,s.exectime)))},o},t.registerElement("locus",t.createLocus),{createLocus:t.createLocus}}),define("base/image",["jxg","base/constants","base/coords","base/element","math/math","math/statistics","utils/type","base/coordselement"],function(t,e,i,r,s,o,n,a){"use strict";return t.Image=function(i,r,s,o,a){this.constructor(i,s,e.OBJECT_TYPE_IMAGE,e.OBJECT_CLASS_OTHER),this.element=this.board.select(s.anchor),this.coordsConstructor(r),this.W=n.createFunction(a[0],this.board,""),this.H=n.createFunction(a[1],this.board,""),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*i.unitX),Math.abs(this.usrSize[1]*i.unitY)],this.url=o,this.elType="image",this.span=[this.coords.usrCoords.slice(0),[this.coords.usrCoords[0],this.W(),0],[this.coords.usrCoords[0],0,this.H()]],this.id=this.board.setId(this,"Im"),this.board.renderer.drawImage(this),this.board.finalizeAdding(this),this.methodMap=t.deepCopy(this.methodMap,{addTransformation:"addTransform",trans:"addTransform"})},t.Image.prototype=new r,n.copyPrototypeMethods(t.Image,a,"coordsConstructor"),t.extend(t.Image.prototype,{hasPoint:function(t,r){var o,n,a,h,l,c,d,u=this.transformations.length;return 0===u?(o=t-this.coords.scrCoords[1],n=this.coords.scrCoords[2]-r,a=this.board.options.precision.hasPoint,o>=-a&&o-this.size[0]<=a&&n>=-a&&n-this.size[1]<=a):(h=new i(e.COORDS_BY_SCREEN,[t,r],this.board),h=h.usrCoords,l=[h[0]-this.span[0][0],h[1]-this.span[0][1],h[2]-this.span[0][2]],d=s.innerProduct,c=d(l,this.span[1]),c>=0&&c<=d(this.span[1],this.span[1])&&(c=d(l,this.span[2]),c>=0&&c<=d(this.span[2],this.span[2]))?!0:!1)},update:function(t){return this.needsUpdate?(this.updateCoords(t),this.updateSize(),this.updateSpan(),this):this},updateRenderer:function(){return this.updateRendererGeneric("updateImage")},updateSize:function(){return 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},updateSpan:function(){var t,e,i=this.transformations.length,r=[];if(0===i)this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]];else{for(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()],t=0;i>t;t++)for(e=0;3>e;e++)r[e]=s.matVecMult(this.transformations[t].matrix,r[e]);for(e=0;3>e;e++)r[e][1]/=r[e][0],r[e][2]/=r[e][0],r[e][0]/=r[e][0];for(e=1;3>e;e++)r[e][0]-=r[0][0],r[e][1]-=r[0][1],r[e][2]-=r[0][2];this.span=r}return this},addTransform:function(t){var e;if(n.isArray(t))for(e=0;e<t.length;e++)this.transformations.push(t[e]);else this.transformations.push(t);return this},getParents:function(){var t=[this.url,[this.Z(),this.X(),this.Y()],this.usrSize];return 0!==this.parents.length&&(t=this.parents),t},setSize:function(t,e){return this.W=n.createFunction(t,this.board,""),this.H=n.createFunction(e,this.board,""),this},W:function(){},H:function(){}}),t.createImage=function(e,i,r){var s,o,h=i[0],l=i[1],c=i[2];if(s=n.copyAttributes(r,e.options,"image"),o=a.create(t.Image,e,l,s,h,c),!o)throw new Error("JSXGraph: Can't create image with parent types '"+typeof i[0]+"' and '"+typeof i[1]+"'.\nPossible parent types: [x,y], [z,x,y], [element,transformation]");return 0!==n.evaluate(s.rotate)&&o.addRotation(n.evaluate(s.rotate)),o},t.registerElement("image",t.createImage),{Image:t.Image,createImage:t.createImage}}),define("base/ticks",["jxg","math/math","math/geometry","base/constants","base/element","base/coords","utils/type","base/text"],function(t,e,i,r,s,o,n,a){"use strict";return t.Ticks=function(t,i,s){if(this.constructor(t.board,s,r.OBJECT_TYPE_TICKS,r.OBJECT_CLASS_OTHER),this.line=t,this.board=this.line.board,this.ticksFunction=null,this.fixedTicks=null,this.equidistant=!1,n.isFunction(i))throw this.ticksFunction=i,new Error("Function arguments are no longer supported.");n.isArray(i)?this.fixedTicks=i:((Math.abs(i)<e.eps||0>i)&&(i=s.defaultdistance),this.ticksFunction=this.makeTicksFunction(i),this.equidistant=!0),this.minTicksDistance=s.minticksdistance,this.ticks=[],this.ticksDelta=1,this.labels=[],this.labelsRepo=[],this.labelCounter=0,this.id=this.line.addTicks(this),this.elType="ticks",this.board.setId(this,"Ti")},t.Ticks.prototype=new s,t.extend(t.Ticks.prototype,{makeTicksFunction:function(t){return function(){var e,i,r;return this.visProp.insertticks?(i=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"ticksdistance"),r=i.upper-i.lower,e=Math.pow(10,Math.floor(Math.log(.6*r)/Math.LN10)),6*e>=r&&(e*=.5),e):t}},hasPoint:function(t,i){var s,o,n=this.ticks&&this.ticks.length||0,a=this.board.options.precision.hasPoint;if(!this.line.visProp.scalable)return!1;if(0!==this.line.stdform[1]&&0!==this.line.stdform[2]&&this.line.type!==r.OBJECT_TYPE_AXIS)return!1;for(s=0;n>s;s++)if(o=this.ticks[s],o[2]&&!(0===this.line.stdform[1]&&Math.abs(o[0][0]-this.line.point1.coords.scrCoords[1])<e.eps||0===this.line.stdform[2]&&Math.abs(o[1][0]-this.line.point1.coords.scrCoords[2])<e.eps)&&(Math.abs(o[0][0]-o[0][1])>=1||Math.abs(o[1][0]-o[1][1])>=1))if(0===this.line.stdform[1]){if(Math.abs(i-.5*(o[1][0]+o[1][1]))<2*a&&o[0][0]-a<t&&t<o[0][1]+a)return!0}else if(0===this.line.stdform[2]&&Math.abs(t-.5*(o[0][0]+o[0][1]))<2*a&&o[1][0]-a<i&&i<o[1][1]+a)return!0;return!1},setPositionDirectly:function(t,i,r){var s,n,a=new o(t,i,this.board),h=new o(t,r,this.board),l=this.board.getBoundingBox();return this.line.visProp.scalable?(Math.abs(this.line.stdform[1])<e.eps&&Math.abs(a.usrCoords[1]*h.usrCoords[1])>e.eps?(s=h.usrCoords[1]/a.usrCoords[1],l[0]*=s,l[2]*=s,this.board.setBoundingBox(l,!1)):Math.abs(this.line.stdform[2])<e.eps&&Math.abs(a.usrCoords[2]*h.usrCoords[2])>e.eps&&(n=h.usrCoords[2]/a.usrCoords[2],l[3]*=n,l[1]*=n,this.board.setBoundingBox(l,!1)),this):this},calculateTicksCoordinates:function(){var t,i,r,s=this.labelsRepo.length;if(this.setTicksSizeVariables(),!(Math.abs(this.dx)<e.eps&&Math.abs(this.dy)<e.eps))for(t=this.getZeroCoordinates(),i=this.getLowerAndUpperBounds(t),this.removeTickLabels(),this.ticks=[],this.labels=[],this.equidistant?this.generateEquidistantTicks(t,i):this.generateFixedTicks(t,i),r=s;r<this.labelsRepo.length;r++)this.labelsRepo[r].setAttribute({visible:!1})},setTicksSizeVariables:function(){var t,e=.5*this.visProp.majorheight,i=.5*this.visProp.minorheight;this.dxMaj=this.line.stdform[1],this.dyMaj=this.line.stdform[2],this.dxMin=this.dxMaj,this.dyMin=this.dyMaj,this.dx=this.dxMaj,this.dy=this.dyMaj,t=Math.sqrt(this.dxMaj*this.dxMaj*this.board.unitX*this.board.unitX+this.dyMaj*this.dyMaj*this.board.unitY*this.board.unitY),this.dxMaj*=e/t*this.board.unitX,this.dyMaj*=e/t*this.board.unitY,this.dxMin*=i/t*this.board.unitX,this.dyMin*=i/t*this.board.unitY,this.minStyle="finite",this.visProp.minorheight<0&&(this.minStyle="infinite"),this.majStyle="finite",this.visProp.majorheight<0&&(this.majStyle="infinite")},getZeroCoordinates:function(){return this.line.type===r.OBJECT_TYPE_AXIS?i.projectPointToLine({coords:{usrCoords:[1,0,0]}},this.line,this.board):"right"===this.visProp.anchor?this.line.point2.coords:"middle"===this.visProp.anchor?new o(r.COORDS_BY_USER,[(this.line.point1.coords.usrCoords[1]+this.line.point2.coords.usrCoords[1])/2,(this.line.point1.coords.usrCoords[2]+this.line.point2.coords.usrCoords[2])/2],this.board):this.line.point1.coords},getLowerAndUpperBounds:function(s,n){var a,h,l,c,d=new o(r.COORDS_BY_USER,this.line.point1.coords.usrCoords,this.board),u=new o(r.COORDS_BY_USER,this.line.point2.coords.usrCoords,this.board),p=Math.abs(d.usrCoords[0])>=e.eps&&d.scrCoords[1]>=0&&d.scrCoords[1]<=this.board.canvasWidth&&d.scrCoords[2]>=0&&d.scrCoords[2]<=this.board.canvasHeight,f=Math.abs(u.usrCoords[0])>=e.eps&&u.scrCoords[1]>=0&&u.scrCoords[1]<=this.board.canvasWidth&&u.scrCoords[2]>=0&&u.scrCoords[2]<=this.board.canvasHeight;return t.exists(n)||"tickdistance"===n?i.calcStraight(this.line,d,u,this.line.visProp.margin):i.calcLineDelimitingPoints(this.line,d,u),l=this.getDistanceFromZero(s,d),c=this.getDistanceFromZero(s,u),c>l?(a=l,this.line.visProp.straightfirst||!p||this.visProp.includeboundaries||(a+=e.eps),h=c,this.line.visProp.straightlast||!f||this.visProp.includeboundaries||(h-=e.eps)):l>c?(a=c,this.line.visProp.straightlast||!f||this.visProp.includeboundaries||(a+=e.eps),h=l,this.line.visProp.straightfirst||!p||this.visProp.includeboundaries||(h-=e.eps)):(a=0,h=0),{lower:a,upper:h}},getDistanceFromZero:function(t,s){var o=e.eps,n=t.distance(r.COORDS_BY_USER,s);return this.line.type===r.OBJECT_TYPE_AXIS?(e.relDif(t.usrCoords[1],s.usrCoords[1])>o&&t.usrCoords[1]-s.usrCoords[1]>o||e.relDif(t.usrCoords[2],s.usrCoords[2])>o&&t.usrCoords[2]-s.usrCoords[2]>o)&&(n*=-1):"right"===this.visProp.anchor?i.isSameDirection(t,this.line.point1.coords,s)&&(n*=-1):i.isSameDirection(t,this.line.point2.coords,s)||(n*=-1),n},generateEquidistantTicks:function(t,i){var r,s=this.getXandYdeltas(),o=this.equidistant?this.ticksFunction(1):this.ticksDelta;if(o*=this.visProp.scale,this.visProp.insertticks&&this.minTicksDistance>e.eps?(o=this.adjustTickDistance(o,t,s),o/=this.visProp.minorticks+1):this.visProp.insertticks||(o/=this.visProp.minorticks+1),this.ticksDelta=o,!(o<e.eps)){for(r=0,this.visProp.drawzero||(r=o);r<=i.upper;)r>=i.lower&&this.processTickPosition(t,r,o,s),r+=o;for(r=-o;r>=i.lower;)r<=i.upper&&this.processTickPosition(t,r,o,s),r-=o}},adjustTickDistance:function(t,e,i){var s,n,a,h,l=1;for(a=this.getLowerAndUpperBounds(e,"ticksdistance"),s=e.usrCoords[1]+i.x*t,n=e.usrCoords[2]+i.y*t,h=e.distance(r.COORDS_BY_SCREEN,new o(r.COORDS_BY_USER,[s,n],this.board));h/(this.visProp.minorticks+1)<this.minTicksDistance;)t*=1===l?2:5,l*=-1,s=e.usrCoords[1]+i.x*t,n=e.usrCoords[2]+i.y*t,h=e.distance(r.COORDS_BY_SCREEN,new o(r.COORDS_BY_USER,[s,n],this.board));return t},processTickPosition:function(t,e,i,s){var n,a,h,l,c;n=t.usrCoords[1]+e*s.x,a=t.usrCoords[2]+e*s.y,h=new o(r.COORDS_BY_USER,[n,a],this.board),h.major=Math.round(e/i)%(this.visProp.minorticks+1)===0,l=this.tickEndings(h,h.major),3===l.length&&(this.ticks.push(l),h.major&&this.visProp.drawlabels?(c=this.generateLabelText(h,t),this.labels.push(this.generateLabel(c,h,this.ticks.length))):this.labels.push(null))},generateFixedTicks:function(t,e){var i,s,a,h,l,c,d=n.isArray(this.visProp.labels),u=this.getXandYdeltas();for(a=0;a<this.fixedTicks.length;a++)l=t.usrCoords[1]+this.fixedTicks[a]*u.x,c=t.usrCoords[2]+this.fixedTicks[a]*u.y,i=new o(r.COORDS_BY_USER,[l,c],this.board),h=this.tickEndings(i,!0),3===h.length&&this.fixedTicks[a]>=e.lower&&this.fixedTicks[a]<=e.upper&&(this.ticks.push(h),this.visProp.drawlabels&&(d||n.exists(this.visProp.labels[a]))?(s=d?this.visProp.labels[a]:this.fixedTicks[a],this.labels.push(this.generateLabel(this.generateLabelText(i,t,s),i,a))):this.labels.push(null))},getXandYdeltas:function(){var t,i,s=this.line.point1.Dist(this.line.point2);return this.line.type===r.OBJECT_TYPE_AXIS?(t=this.line.point1.coords.usrCoords,i=this.line.point2.coords.usrCoords,(t[1]>i[1]||Math.abs(t[1]-i[1])<e.eps&&t[2]>i[2])&&(t=this.line.point2.coords.usrCoords,i=this.line.point1.coords.usrCoords)):(t=this.line.point1.coords.usrCoords,i=this.line.point2.coords.usrCoords),{x:(i[1]-t[1])/s,y:(i[2]-t[2])/s}},tickEndings:function(t,e){var r,s,o,n,a,h,l=this.board.canvasWidth,c=this.board.canvasHeight,d=[-1e3*l,-1e3*c],u=[-1e3*l,-1e3*c],p=!1;return r=t.scrCoords,e?(n=this.dxMaj,a=this.dyMaj,h=this.majStyle):(n=this.dxMin,a=this.dyMin,h=this.minStyle),s=[-a*r[1]-n*r[2],a,n],"infinite"===h?(o=i.meetLineBoard(s,this.board),d[0]=o[0].scrCoords[1],d[1]=o[1].scrCoords[1],u[0]=o[0].scrCoords[2],u[1]=o[1].scrCoords[2]):(d[0]=r[1]+n*this.visProp.tickendings[0],u[0]=r[2]-a*this.visProp.tickendings[0],d[1]=r[1]-n*this.visProp.tickendings[1],u[1]=r[2]+a*this.visProp.tickendings[1]),p=d[0]>=0&&d[0]<=l&&u[0]>=0&&u[0]<=c||d[1]>=0&&d[1]<=l&&u[1]>=0&&u[1]<=c,p?[d,u,e]:[]},generateLabelText:function(t,i,r){var s,o=this.getDistanceFromZero(i,t);return Math.abs(o)<e.eps?s="0":(n.exists(r)||(r=o/this.visProp.scale),s=r.toString(),n.isNumber(r)&&((s.length>this.visProp.maxlabellength||-1!==s.indexOf("e"))&&(s=r.toPrecision(this.visProp.precision).toString()),s.indexOf(".")>-1&&-1===s.indexOf("e")&&(s=s.replace(/0+$/,""),s=s.replace(/\.$/,""))),this.visProp.scalesymbol.length>0&&("1"===s?s=this.visProp.scalesymbol:"-1"===s?s="-"+this.visProp.scalesymbol:"0"!==s&&(s+=this.visProp.scalesymbol)),this.visProp.useunicodeminus&&(s=s.replace(/-/g,"−"))),s},generateLabel:function(t,e,i){var r,s={isLabel:!0,layer:this.board.options.layer.line,highlightStrokeColor:this.board.options.text.strokeColor,highlightStrokeWidth:this.board.options.text.strokeWidth,highlightStrokeOpacity:this.board.options.text.strokeOpacity,visible:this.visProp.visible,priv:this.visProp.priv};return s=n.deepCopy(s,this.visProp.label),this.labelsRepo.length>0?(r=this.labelsRepo.pop(),r.setText(t),r.setAttribute(s)):(this.labelCounter+=1,s.id=this.id+i+"Label"+this.labelCounter,r=a.createText(this.board,[e.usrCoords[1],e.usrCoords[2],t],s)),r.isDraggable=!1,r.dump=!1,r.distanceX=this.visProp.label.offset[0],r.distanceY=this.visProp.label.offset[1],r.setCoords(e.usrCoords[1]+r.distanceX/this.board.unitX,e.usrCoords[2]+r.distanceY/this.board.unitY),r},removeTickLabels:function(){var t;if(n.exists(this.labels)&&(this.board.needsFullUpdate||this.needsRegularUpdate||this.needsUpdate)&&("canvas"!==this.board.renderer.type||"internal"!==this.board.options.text.display))for(t=0;t<this.labels.length;t++)n.exists(this.labels[t])&&this.labelsRepo.push(this.labels[t])},update:function(){return this.needsUpdate&&0!==this.board.canvasWidth&&0!==this.board.canvasHeight&&this.calculateTicksCoordinates(),this},updateRenderer:function(){return this.needsUpdate&&(this.board.renderer.updateTicks(this),this.needsUpdate=!1),this},hideElement:function(){var t;for(this.visProp.visible=!1,this.board.renderer.hide(this),t=0;t<this.labels.length;t++)n.exists(this.labels[t])&&this.labels[t].hideElement();return this},showElement:function(){var t;for(this.visProp.visible=!0,this.board.renderer.show(this),t=0;t<this.labels.length;t++)n.exists(this.labels[t])&&this.labels[t].showElement();return this}}),t.createTicks=function(e,i,s){var o,a,h=n.copyAttributes(s,e.options,"ticks");if(a=i.length<2?h.ticksdistance:i[1],i[0].elementClass!==r.OBJECT_CLASS_LINE)throw new Error("JSXGraph: Can't create Ticks with parent types '"+typeof i[0]+"'.");return o=new t.Ticks(i[0],a,h),n.isFunction(h.generatelabelvalue)&&(o.generateLabelText=h.generatelabelvalue),n.isFunction(h.generatelabeltext)&&(o.generateLabelText=h.generatelabeltext),o.setParents(i[0]),o.isDraggable=!0,o},t.createHatchmark=function(t,e,i){var s,o,a,h,l,c,d=[],u=n.copyAttributes(i,t.options,"hatch");if(e[0].elementClass!==r.OBJECT_CLASS_LINE||"number"!=typeof e[1])throw new Error("JSXGraph: Can't create Hatch mark with parent types '"+typeof e[0]+"' and '"+typeof e[1]+"'.");for(s=e[1],h=u.ticksdistance,l=(s-1)*h,a=-l/2,o=0;s>o;o++)d[o]=a+o*h;return c=t.create("ticks",[e[0],d],u),c.elType="hatch",c},t.registerElement("ticks",t.createTicks),t.registerElement("hash",t.createHatchmark),t.registerElement("hatch",t.createHatchmark),{Ticks:t.Ticks,createTicks:t.createTicks,createHashmark:t.createHatchmark,createHatchmark:t.createHatchmark}}),define("element/slider",["jxg","math/math","base/constants","utils/type","base/point","base/group","base/element","base/line","base/ticks","base/text"],function(t,e,i,r,s,o,n,a,h,l){"use strict";return t.createSlider=function(t,o,a){var h,l,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E,x,w,O,T,N;O=r.copyAttributes(a,t.options,"slider"),x=O.withticks,E=O.withlabel,w=O.snapwidth,T=O.precision,O=r.copyAttributes(a,t.options,"slider","point1"),f=t.create("point",o[0],O),O=r.copyAttributes(a,t.options,"slider","point2"),m=t.create("point",o[1],O),O=r.copyAttributes(a,t.options,"slider","baseline"),g=t.create("segment",[f,m],O),g.updateStdform(),h=f.coords.usrCoords.slice(1),l=m.coords.usrCoords.slice(1),c=o[2][0],d=o[2][1],u=o[2][2],p=u-c,x&&(O=r.copyAttributes(a,t.options,"slider","ticks"),b=2,v=t.create("ticks",[g,m.Dist(f)/b,function(t){var r=f.Dist(m),s=f.coords.distance(i.COORDS_BY_USER,t);return r<e.eps?0:s/r*p+c}],O)),y=h[0]+(l[0]-h[0])*(d-c)/(u-c),C=h[1]+(l[1]-h[1])*(d-c)/(u-c),O=r.copyAttributes(a,t.options,"slider"),O.withLabel=!1,P=t.create("glider",[y,C,g],O),P.setAttribute({snapwidth:w}),O=r.copyAttributes(a,t.options,"slider","highline"),_=t.create("segment",[f,P],O),P.Value=function(){var t=this._smax-this._smin;return-1===P.visProp.snapwidth?this.position*t+this._smin:Math.round((this.position*t+this._smin)/this.visProp.snapwidth)*this.visProp.snapwidth},P.methodMap=r.deepCopy(P.methodMap,{Value:"Value",setValue:"setValue",smax:"_smax",smin:"_smin",setMax:"setMax",setMin:"setMin"}),P._smax=u,P._smin=c,P.setMax=function(t){return this._smax=t,this},P.setValue=function(t){var i=this._smax-this._smin;return Math.abs(i)>e.eps?this.position=(t-this._smin)/i:this.position=0,this.position=Math.max(0,Math.min(1,this.position)),this},P.setMin=function(t){return this._smin=t,this},E&&(O=r.copyAttributes(a,t.options,"slider","label"),S=t.create("text",[function(){return.05*(m.X()-f.X())+m.X()},function(){return.05*(m.Y()-f.Y())+m.Y()},function(){var t;return t=P.name&&""!==P.name?P.name+" = ":"",t+P.Value().toFixed(T)}],O),P.label=S,P.visProp.withlabel=!0,P.hasLabel=!0),P.point1=f,P.point2=m,P.baseline=g,P.highline=_,x&&(P.ticks=v),P.remove=function(){E&&t.removeObject(S),t.removeObject(_),t.removeObject(g),t.removeObject(m),t.removeObject(f),s.Point.prototype.remove.call(P)},f.dump=!1,m.dump=!1,g.dump=!1,_.dump=!1,P.elType="slider",P.parents=o,P.subs={point1:f,point2:m,baseLine:g,highLine:_},x&&(v.dump=!1,P.subs.ticks=v);for(N in P.subs)P.subs[N].status={visible:P.subs[N].visProp.visible};return P.hideElement=function(){var t;n.prototype.hideElement.call(this);for(t in this.subs)this.subs[t].status.visible=this.subs[t].visProp.visible,this.subs[t].hideElement()},P.showElement=function(){var t;n.prototype.showElement.call(this);for(t in this.subs)this.subs[t].status.visible&&this.subs[t].showElement()},P},t.registerElement("slider",t.createSlider),{createSlider:t.createSlider}}),define("element/measure",["jxg","utils/type","base/element","base/point","base/line","base/ticks"],function(t,e,i,r,s,o){
"use strict";return t.createTapemeasure=function(r,s,o){var n,a,h,l,c,d,u,p,f,m,g;return n=s[0],a=s[1],h=e.copyAttributes(o,r.options,"tapemeasure","point1"),p=r.create("point",n,h),h=e.copyAttributes(o,r.options,"tapemeasure","point2"),f=r.create("point",a,h),p.setAttribute({ignoredSnapToPoints:[f]}),f.setAttribute({ignoredSnapToPoints:[p]}),h=e.copyAttributes(o,r.options,"tapemeasure"),l=h.withticks,c=h.withlabel,d=h.precision,c&&(h.withlabel=!0),u=r.create("segment",[p,f],h),c&&(m=o.name&&""!==o.name?o.name+" = ":"",u.label.setText(function(){return m+p.Dist(f).toFixed(d)})),l&&(h=e.copyAttributes(o,r.options,"tapemeasure","ticks"),g=r.create("ticks",[u,.1],h)),u.remove=function(){l&&u.removeTicks(g),r.removeObject(f),r.removeObject(p),i.prototype.remove.call(this)},u.Value=function(){return p.Dist(f)},p.dump=!1,f.dump=!1,u.elType="tapemeasure",u.getParents=function(){return[[p.X(),p.Y()],[f.X(),f.Y()]]},u.subs={point1:p,point2:f},l&&(g.dump=!1),u.methodMap=t.deepCopy(u.methodMap,{Value:"Value"}),u},t.registerElement("tapemeasure",t.createTapemeasure),{createTapemeasure:t.createTapemeasure}}),define("parser/datasource",["jxg","utils/type"],function(t,e){"use strict";return t.DataSource=function(){return this.data=[],this.columnHeaders=[],this.rowHeaders=[],this},t.extend(t.DataSource.prototype,{loadFromArray:function(t,i,r){var s,o,n;if(e.isArray(i)&&(this.columnHeaders=i,i=!1),e.isArray(r)&&(this.rowHeaders=r,r=!1),this.data=[],i&&(this.columnHeaders=[]),r&&(this.rowHeaders=[]),e.exists(t)){for(this.data=[],s=0;s<t.length;s++)for(this.data[s]=[],o=0;o<t[s].length;o++)n=t[s][o],parseFloat(n).toString()===n?this.data[s][o]=parseFloat(n):"-"!==n?this.data[s][o]=n:this.data[s][o]=NaN;if(i&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1)),r)for(this.rowHeaders=[],s=0;s<this.data.length;s++)this.rowHeaders.push(this.data[s][0]),this.data[s]=this.data[s].slice(1)}return this},loadFromTable:function(t,i,r){var s,o,n,a,h;if(e.isArray(i)&&(this.columnHeaders=i,i=!1),e.isArray(r)&&(this.rowHeaders=r,r=!1),this.data=[],i&&(this.columnHeaders=[]),r&&(this.rowHeaders=[]),t=document.getElementById(t),e.exists(t)){for(s=t.getElementsByTagName("tr"),this.data=[],o=0;o<s.length;o++)for(a=s[o].getElementsByTagName("td"),this.data[o]=[],n=0;n<a.length;n++)h=a[n].innerHTML,parseFloat(h).toString()===h?this.data[o][n]=parseFloat(h):"-"!==h?this.data[o][n]=h:this.data[o][n]=NaN;if(i&&(this.columnHeaders=this.data[0].slice(1),this.data=this.data.slice(1)),r)for(this.rowHeaders=[],o=0;o<this.data.length;o++)this.rowHeaders.push(this.data[o][0]),this.data[o]=this.data[o].slice(1)}return this},addColumn:function(t,e,i){throw new Error("not implemented")},addRow:function(t,e,i){throw new Error("not implemented")},getColumn:function(t){var i,r=[];if(e.isString(t))for(i=0;i<this.columnHeaders.length;i++)if(t===this.columnHeaders[i]){t=i;break}for(i=0;i<this.data.length;i++)this.data[i].length>t&&(r[i]=parseFloat(this.data[i][t]));return r},getRow:function(t){var i,r;if(e.isString(t))for(r=0;r<this.rowHeaders.length;r++)if(t===this.rowHeaders[r]){t=r;break}for(i=[],r=0;r<this.data[t].length;r++)i[r]=this.data[t][r];return i}}),t.DataSource}),define("base/chart",["jxg","math/numerics","math/statistics","base/constants","base/coords","base/element","parser/datasource","utils/color","utils/type","utils/env","base/curve","base/point","base/text","base/polygon","element/sector","base/transformation","base/line","base/circle"],function(t,e,i,r,s,o,n,a,h,l,c,d,u,p,f,m,g,b){"use strict";return t.Chart=function(t,e,i){this.constructor(t,i);var r,s,o,n,a,l;if(!h.isArray(e)||0===e.length)throw new Error("JSXGraph: Can't create a chart without data");if(this.elements=[],h.isNumber(e[0]))for(s=e,r=[],o=0;o<s.length;o++)r[o]=o+1;else if(1===e.length&&h.isArray(e[0]))for(s=e[0],r=[],l=h.evaluate(s).length,o=0;l>o;o++)r[o]=o+1;else 2===e.length&&(l=Math.min(e[0].length,e[1].length),r=e[0].slice(0,l),s=e[1].slice(0,l));if(h.isArray(s)&&0===s.length)throw new Error("JSXGraph: Can't create charts without data.");for(a=i.chartstyle.replace(/ /g,"").split(","),o=0;o<a.length;o++){switch(a[o]){case"bar":n=this.drawBar(t,r,s,i);break;case"line":n=this.drawLine(t,r,s,i);break;case"fit":n=this.drawFit(t,r,s,i);break;case"spline":n=this.drawSpline(t,r,s,i);break;case"pie":n=this.drawPie(t,s,i);break;case"point":n=this.drawPoints(t,r,s,i);break;case"radar":n=this.drawRadar(t,e,i)}this.elements.push(n)}return this.id=this.board.setId(this,"Chart"),this.elements},t.Chart.prototype=new o,t.extend(t.Chart.prototype,{drawLine:function(t,e,i,r){return r.fillcolor="none",r.highlightfillcolor="none",t.create("curve",[e,i],r)},drawSpline:function(t,e,i,r){return r.fillColor="none",r.highlightfillcolor="none",t.create("spline",[e,i],r)},drawFit:function(t,i,r,s){var o=s.degree;return o=Math.max(parseInt(o,10),1)||1,s.fillcolor="none",s.highlightfillcolor="none",t.create("functiongraph",[e.regressionPolynomial(o,i,r)],s)},drawBar:function(t,e,i,r){var s,o,n,a,l,c,d,u,p,f,m,g,b=[],v=[],y=function(t,i){return function(){return e[t]()-i*c}},C={fixed:!0,withLabel:!1,visible:!1,name:""};if(h.exists(r.fillopacity)||(r.fillopacity=.6),r&&r.width)c=r.width;else{if(e.length<=1)c=1;else for(c=e[1]-e[0],s=1;s<e.length-1;s++)c=e[s+1]-e[s]<c?e[s+1]-e[s]:c;c*=.8}for(n=r.fillcolor,g=h.copyAttributes(r,t.options,"chart","label"),a=parseFloat(g.fontsize),s=0;s<e.length;s++)h.isFunction(e[s])?(d=y(s,-.5),u=y(s,0),p=y(s,.5)):(d=e[s]-.5*c,u=e[s],p=e[s]+.5*c),f=i[s],"horizontal"===r.dir?(v[0]=t.create("point",[0,d],C),v[1]=t.create("point",[f,d],C),v[2]=t.create("point",[f,p],C),v[3]=t.create("point",[0,p],C),h.exists(r.labels)&&h.exists(r.labels[s])&&(o=r.labels[s].toString().length,o=2*o*a/t.unitX,f>=0?f+=.5*a/t.unitX:f-=a*o/t.unitX,u-=.2*a/t.unitY,l=t.create("text",[f,u,r.labels[s].toString()],g))):(v[0]=t.create("point",[d,0],C),v[1]=t.create("point",[d,f],C),v[2]=t.create("point",[p,f],C),v[3]=t.create("point",[p,0],C),h.exists(r.labels)&&h.exists(r.labels[s])&&(o=r.labels[s].toString().length,o=.6*o*a/t.unitX,f>=0?f+=.5*a/t.unitY:f-=a/t.unitY,l=t.create("text",[u-.5*o,f,r.labels[s].toString()],g))),r.withlines=!1,h.isArray(r.colors)&&(m=r.colors,r.fillcolor=m[s%m.length]),b[s]=t.create("polygon",v,r),h.exists(r.labels)&&h.exists(r.labels[s])&&(b[s].text=l);return b},drawPoints:function(t,e,i,r){var s,o=[],n=r.infoboxarray;for(r.fixed=!0,r.name="",s=0;s<e.length;s++)r.infoboxtext=n?n[s%n.length]:!1,o[s]=t.create("point",[e[s],i[s]],r);return o},drawPie:function(t,e,o){var n,a,l=[],c=[],d=(i.sum(e),o.colors),u=o.highlightcolors,p=o.labels,f=o.radius||4,m=f,g=o.center||[0,0],b=g[0],v=g[1],y=function(t,i,r){return function(){var s,o,n,a=0;for(o=0;t>=o;o++)a+=parseFloat(h.evaluate(e[o]));for(s=a,o=t+1;o<e.length;o++)s+=parseFloat(h.evaluate(e[o]));return n=0!==s?2*Math.PI*a/s:0,m()*Math[i](n)+r}},C=function(t,e){var i=-this.point1.coords.usrCoords[1]+this.point2.coords.usrCoords[1],o=-this.point1.coords.usrCoords[2]+this.point2.coords.usrCoords[2];h.exists(this.label)&&(this.label.rendNode.style.fontSize=e*this.label.visProp.fontsize+"px",this.label.prepareUpdate().update().updateRenderer()),this.point2.coords=new s(r.COORDS_BY_USER,[this.point1.coords.usrCoords[1]+i*t,this.point1.coords.usrCoords[2]+o*t],this.board),this.prepareUpdate().update().updateRenderer()},P=function(){this.highlighted||(this.highlighted=!0,this.board.highlightedObjects[this.id]=this,this.board.renderer.highlight(this),C.call(this,1.1,2))},_=function(){this.highlighted&&(this.highlighted=!1,this.board.renderer.noHighlight(this),C.call(this,.9090909,1))},S={fixed:!0,withLabel:!1,visible:!1,name:""};if(!h.isArray(p))for(p=[],n=0;n<e.length;n++)p[n]="";for(h.isFunction(f)||(m=function(){return f}),o.highlightonsector=o.highlightonsector||!1,o.straightfirst=!1,o.straightlast=!1,a=t.create("point",[b,v],S),l[0]=t.create("point",[function(){return m()+b},function(){return v}],S),n=0;n<e.length;n++)l[n+1]=t.create("point",[y(n,"cos",b),y(n,"sin",v)],S),o.name=p[n],o.withlabel=""!==o.name,o.fillcolor=d&&d[n%d.length],o.labelcolor=d&&d[n%d.length],o.highlightfillcolor=u&&u[n%u.length],c[n]=t.create("sector",[a,l[n],l[n+1]],o),o.highlightonsector&&(c[n].hasPoint=c[n].hasPointSector),o.highlightbysize&&(c[n].highlight=P,c[n].noHighlight=_);return{sectors:c,points:l,midpoint:a}},drawRadar:function(e,i,o){var n,a,l,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E,x,w,O,T,N,M,A,k,R,L,B,Y,j,D,I,X,G,F,U,J,z,H,$,V,q,W,Z,Q=i.length,K=function(){var t,e,i,o,n=this.visProp.label.offset.slice(0);return t=this.point1.X(),e=this.point2.X(),i=this.point1.Y(),o=this.point2.Y(),t>e&&(n[0]=-n[0]),i>o&&(n[1]=-n[1]),this.setLabelRelativeCoords(n),new s(r.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)},tt=function(t,i){var r,s,o;return r=e.create("transform",[-(P[i]-y[i]),0],{type:"translate"}),s=e.create("transform",[w/(_[i]+C[i]-(P[i]-y[i])),1],{type:"scale"}),r.melt(s),o=e.create("transform",[t],{type:"rotate"}),r.melt(o),r};if(0>=Q)return void t.debug("No data");if(l=o.paramarray,!h.exists(l))return void t.debug("Need paramArray attribute");if(c=l.length,1>=c)return void t.debug("Need more than 1 param");for(n=0;Q>n;n++)if(c!==i[n].length)return void t.debug("Use data length equal to number of params ("+i[n].length+" != "+c+")");for(d=[],u=[],a=0;c>a;a++)d[a]=i[0][a],u[a]=d[a];for(n=1;Q>n;n++)for(a=0;c>a;a++)i[n][a]>d[a]&&(d[a]=i[n][a]),i[n][a]<u[a]&&(u[a]=i[n][a]);for(p=[],f=[],n=0;Q>n;n++)p[n]="",f[n]=[];for(m=[],g=[],b=o.startshiftratio||0,v=o.endshiftratio||0,n=0;c>n;n++)m[n]=(d[n]-u[n])*b,g[n]=(d[n]-u[n])*v;if(y=o.startshiftarray||m,C=o.endshiftarray||g,P=o.startarray||u,h.exists(o.start))for(n=0;c>n;n++)P[n]=o.start;if(_=o.endarray||d,h.exists(o.end))for(n=0;c>n;n++)_[n]=o.end;if(y.length!==c)return void t.debug("Start shifts length is not equal to number of parameters");if(C.length!==c)return void t.debug("End shifts length is not equal to number of parameters");if(P.length!==c)return void t.debug("Starts length is not equal to number of parameters");if(_.length!==c)return void t.debug("Ends length is not equal to number of parameters");for(S=o.labelarray||p,E=o.colors,x=o.highlightcolors,w=o.radius||10,W=o.strokewidth||1,h.exists(o.highlightonsector)||(o.highlightonsector=!1),O={name:o.name,id:o.id,strokewidth:W,polystrokewidth:o.polystrokewidth||W,strokecolor:o.strokecolor||"black",straightfirst:!1,straightlast:!1,fillcolor:o.fillColor||"#FFFF88",fillopacity:o.fillOpacity||.4,highlightfillcolor:o.highlightFillColor||"#FF7400",highlightstrokecolor:o.highlightStrokeColor||"black",gradient:o.gradient||"none"},T=o.center||[0,0],N=T[0],M=T[1],A=e.create("point",[N,M],{name:"",fixed:!0,withlabel:!1,visible:!1}),k=Math.PI/2-Math.PI/c,k=o.startangle||0,R=k,L=[],B=[],n=0;c>n;n++)for(R+=2*Math.PI/c,j=w*Math.cos(R)+N,D=w*Math.sin(R)+M,L[n]=e.create("point",[j,D],{name:"",fixed:!0,withlabel:!1,visible:!1}),B[n]=e.create("line",[A,L[n]],{name:l[n],strokeColor:O.strokecolor,strokeWidth:O.strokewidth,strokeOpacity:1,straightFirst:!1,straightLast:!1,withLabel:!0,highlightStrokeColor:O.highlightstrokecolor}),B[n].getLabelAnchor=K,Y=tt(R,n),a=0;a<i.length;a++)Z=i[a][n],f[a][n]=e.create("point",[Z,0],{name:"",fixed:!0,withlabel:!1,visible:!1}),f[a][n].addTransform(f[a][n],Y);for(I=[],n=0;Q>n;n++)for(O.labelcolor=E&&E[n%E.length],O.strokecolor=E&&E[n%E.length],O.fillcolor=E&&E[n%E.length],I[n]=e.create("polygon",f[n],{withLines:!0,withLabel:!1,fillColor:O.fillcolor,fillOpacity:O.fillopacity,highlightFillColor:O.highlightfillcolor}),a=0;c>a;a++)I[n].borders[a].setAttribute("strokecolor:"+E[n%E.length]),I[n].borders[a].setAttribute("strokewidth:"+O.polystrokewidth);switch(X=o.legendposition||"none"){case"right":F=o.legendleftoffset||2,U=o.legendtopoffset||1,this.legend=e.create("legend",[N+w+F,M+w-U],{labels:S,colors:E});break;case"none":break;default:t.debug("Unknown legend position")}if(G=[],o.showcircles){for(J=[],n=0;6>n;n++)J[n]=20*n;if(J[0]="0",z=o.circlelabelarray||J,H=z.length,2>H)return void t.debug("Too less circles");for($=[],V=k+Math.PI/c,Y=tt(V,0),O.fillcolor="none",O.highlightfillcolor="none",O.strokecolor=o.strokecolor||"black",O.strokewidth=o.circlestrokewidth||.5,O.layer=0,q=(_[0]-P[0])/(H-1),n=0;H>n;n++)$[n]=e.create("point",[P[0]+n*q,0],{name:z[n],size:0,fixed:!0,withLabel:!0,visible:!0}),$[n].addTransform($[n],Y),G[n]=e.create("circle",[A,$[n]],O)}return this.rendNode=I[0].rendNode,{circles:G,lines:B,points:f,midpoint:A,polygons:I}},updateRenderer:function(){return this},update:function(){return this.needsUpdate&&this.updateDataArray(),this},updateDataArray:function(){}}),t.createChart=function(e,i,r){var s,o,c,d,u,p,f,m,g,b,v,y,C,P,_,S,E=[],x=l.isBrowser?e.document.getElementById(i[0]):null;if(1===i.length&&h.isString(i[0])){if(h.exists(x)){if(g=h.copyAttributes(r,e.options,"chart"),x=(new n).loadFromTable(i[0],g.withheaders,g.withheaders),s=x.data,u=x.columnHeaders,o=x.rowHeaders,b=g.width,v=g.name,y=g.strokecolor,C=g.fillcolor,P=g.highlightstrokecolor,_=g.highlightfillcolor,e.suspendUpdate(),S=s.length,m=[],g.rows&&h.isArray(g.rows)){for(c=0;S>c;c++)for(d=0;d<g.rows.length;d++)if(g.rows[d]===c||g.withheaders&&g.rows[d]===o[c]){m.push(s[c]);break}}else m=s;for(S=m.length,c=0;S>c;c++){if(f=[],g.chartstyle&&-1!==g.chartstyle.indexOf("bar")){for(p=b?b:.8,f.push(1-p/2+(c+.5)*p/S),d=1;d<m[c].length;d++)f.push(f[d-1]+1);g.width=p/S}v&&v.length===S?g.name=v[c]:g.withheaders&&(g.name=u[c]),y&&y.length===S?g.strokecolor=y[c]:g.strokecolor=a.hsv2rgb((c+1)/S*360,.9,.6),C&&C.length===S?g.fillcolor=C[c]:g.fillcolor=a.hsv2rgb((c+1)/S*360,.9,1),P&&P.length===S?g.highlightstrokecolor=P[c]:g.highlightstrokecolor=a.hsv2rgb((c+1)/S*360,.9,1),_&&_.length===S?g.highlightfillcolor=_[c]:g.highlightfillcolor=a.hsv2rgb((c+1)/S*360,.9,.6),g.chartstyle&&-1!==g.chartstyle.indexOf("bar")?E.push(new t.Chart(e,[f,m[c]],g)):E.push(new t.Chart(e,[m[c]],g))}e.unsuspendUpdate()}return E}return g=h.copyAttributes(r,e.options,"chart"),new t.Chart(e,i,g)},t.registerElement("chart",t.createChart),t.Legend=function(t,e,i){var o;if(this.constructor(),o=h.copyAttributes(i,t.options,"legend"),this.board=t,this.coords=new s(r.COORDS_BY_USER,e,this.board),this.myAtts={},this.label_array=o.labelarray||o.labels,this.color_array=o.colorarray||o.colors,this.lines=[],this.myAtts.strokewidth=o.strokewidth||5,this.myAtts.straightfirst=!1,this.myAtts.straightlast=!1,this.myAtts.withlabel=!0,this.myAtts.fixed=!0,this.style=o.legendstyle||o.style,"vertical"!==this.style)throw new Error("JSXGraph: Unknown legend style: "+this.style);this.drawVerticalLegend(t,o)},t.Legend.prototype=new o,t.Legend.prototype.drawVerticalLegend=function(t,e){var i,o=e.linelength||1,n=(e.rowheight||20)/this.board.unitY,a=function(){return this.setLabelRelativeCoords(this.visProp.label.offset),new s(r.COORDS_BY_USER,[this.point2.X(),this.point2.Y()],this.board)};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]=t.create("line",[[this.coords.usrCoords[1],this.coords.usrCoords[2]-i*n],[this.coords.usrCoords[1]+o,this.coords.usrCoords[2]-i*n]],this.myAtts),this.lines[i].getLabelAnchor=a},t.createLegend=function(e,i,r){var s=[0,0];return h.exists(i)&&2===i.length&&(s=i),new t.Legend(e,s,r)},t.registerElement("legend",t.createLegend),{Chart:t.Chart,Legend:t.Legend,createChart:t.createChart,createLegend:t.createLegend}}),define("base/turtle",["jxg","base/constants","base/element","utils/type","base/curve","base/point","base/line","base/transformation"],function(t,e,i,r,s,o,n,a){"use strict";return t.Turtle=function(t,i,s){var o,n,a;return this.constructor(t,s,e.OBJECT_TYPE_TURTLE,e.OBJECT_CLASS_OTHER),this.turtleIsHidden=!1,this.board=t,this.visProp.curveType="plot",this._attributes=r.copyAttributes(this.visProp,t.options,"turtle"),delete this._attributes.id,o=0,n=0,a=90,0!==i.length&&(3===i.length?(o=i[0],n=i[1],a=i[2]):2===i.length?r.isArray(i[0])?(o=i[0][0],n=i[0][1],a=i[1]):(o=i[0],n=i[1]):(o=i[0][0],n=i[0][1])),this.init(o,n,a),this.methodMap=r.deepCopy(this.methodMap,{forward:"forward",fd:"forward",back:"back",bk:"back",right:"right",rt:"right",left:"left",lt:"left",penUp:"penUp",pu:"penUp",penDown:"penDown",pd:"penDown",clearScreen:"clearScreen",cs:"clearScreen",clean:"clean",setPos:"setPos",home:"home",hideTurtle:"hideTurtle",ht:"hideTurtle",showTurtle:"showTurtle",st:"showTurtle",penSize:"setPenSize",penColor:"setPenColor",pushTurtle:"pushTurtle",push:"pushTurtle",popTurtle:"popTurtle",pop:"popTurtle",lookTo:"lookTo",pos:"pos",moveTo:"moveTo",X:"X",Y:"Y"}),this},t.Turtle.prototype=new i,t.extend(t.Turtle.prototype,{init:function(t,e,i){var r={fixed:!0,name:"",visible:!1,withLabel:!1};this.arrowLen=20/Math.sqrt(this.board.unitX*this.board.unitX+this.board.unitY*this.board.unitY),this.pos=[t,e],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,r),this.objects.push(this.turtle),this.turtle2=this.board.create("point",[this.pos[0],this.pos[1]+this.arrowLen],r),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-i),this.board.update()},forward:function(t){if(0===t)return this;var e,i=t*Math.cos(this.dir*Math.PI/180),r=t*Math.sin(this.dir*Math.PI/180);return this.turtleIsHidden||(e=this.board.create("transform",[i,r],{type:"translate"}),e.applyOnce(this.turtle),e.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]+=i,this.pos[1]+=r,this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update(),this},back:function(t){return this.forward(-t)},right:function(t){if(this.dir-=t,this.dir%=360,!this.turtleIsHidden){var e=this.board.create("transform",[-t*Math.PI/180,this.turtle],{type:"rotate"});e.applyOnce(this.turtle2)}return this.board.update(),this},left:function(t){return this.right(-t)},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(){var t,i;for(t=0;t<this.objects.length;t++)i=this.objects[t],i.type===e.OBJECT_TYPE_CURVE&&(this.board.removeObject(i),this.objects.splice(t,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 t,e,i=this.objects.length;for(t=0;i>t;t++)e=this.objects[t],this.board.removeObject(e);return this.init(0,0,90),this},setPos:function(t,i){var s;return r.isArray(t)?this.pos=t:this.pos=[t,i],this.turtleIsHidden||(this.turtle.setPositionDirectly(e.COORDS_BY_USER,[t,i]),this.turtle2.setPositionDirectly(e.COORDS_BY_USER,[t,i+this.arrowLen]),s=this.board.create("transform",[-(this.dir-90)*Math.PI/180,this.turtle],{type:"rotate"}),s.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(),this},setPenSize:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeWidth",t)),this.objects.push(this.curve),this},setPenColor:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("strokeColor",t)),this.objects.push(this.curve),this},setHighlightPenColor:function(t){return this.curve=this.board.create("curve",[[this.pos[0]],[this.pos[1]]],this.copyAttr("highlightStrokeColor",t)),this.objects.push(this.curve),this},setAttribute:function(t){var i,s,o,n=this.objects.length;for(i=0;n>i;i++)s=this.objects[i],s.type===e.OBJECT_TYPE_CURVE&&s.setAttribute(t);return o=this.visProp.id,this.visProp=r.deepCopy(this.curve.visProp),this.visProp.id=o,this._attributes=r.deepCopy(this.visProp),delete this._attributes.id,this},copyAttr:function(t,e){return this._attributes[t.toLowerCase()]=e,this._attributes},showTurtle:function(){return this.turtleIsHidden=!1,this.arrow.setAttribute({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.setAttribute({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 t=this.stack.pop();return this.pos[0]=t[0],this.pos[1]=t[1],this.dir=t[2],this.setPos(this.pos[0],this.pos[1]),this},lookTo:function(t){var e,i,s,o,n;return r.isArray(t)?(e=this.pos[0],i=this.pos[1],s=t[0],o=t[1],n=Math.atan2(o-i,s-e),this.right(this.dir-180*n/Math.PI)):r.isNumber(t)&&this.right(this.dir-t),this},moveTo:function(t){var e,i,s;return r.isArray(t)&&(e=t[0]-this.pos[0],i=t[1]-this.pos[1],this.turtleIsHidden||(s=this.board.create("transform",[e,i],{type:"translate"}),s.applyOnce(this.turtle),s.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]=t[0],this.pos[1]=t[1],this.isPenDown&&(this.curve.dataX.push(this.pos[0]),this.curve.dataY.push(this.pos[1])),this.board.update()),this},fd:function(t){return this.forward(t)},bk:function(t){return this.back(t)},lt:function(t){return this.left(t)},rt:function(t){return this.right(t)},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(t,i){var r,s,o,n,a=this.objects.length;for(r=0,s=0;a>r;r++)if(o=this.objects[r],o.elementClass===e.OBJECT_CLASS_CURVE){if(t>=s&&t<s+o.numberPoints)return n=t-s,o[i](n);s+=o.numberPoints}return this[i]()},X:function(t){return r.exists(t)?this.evalAt(t,"X"):this.pos[0]},Y:function(t){return r.exists(t)?this.evalAt(t,"Y"):this.pos[1]},Z:function(t){return 1},minX:function(){return 0},maxX:function(){var t,i,r=this.objects.length,s=0;for(t=0;r>t;t++)i=this.objects[t],i.elementClass===e.OBJECT_CLASS_CURVE&&(s+=this.objects[t].numberPoints);return s},hasPoint:function(t,i){var r,s;for(r=0;r<this.objects.length;r++)if(s=this.objects[r],s.type===e.OBJECT_TYPE_CURVE&&s.hasPoint(t,i))return!0;return!1}}),t.createTurtle=function(e,i,s){var o;return i=i||[],o=r.copyAttributes(s,e.options,"turtle"),new t.Turtle(e,i,o)},t.registerElement("turtle",t.createTurtle),{Turtle:t.Turtle,createTurtle:t.createTurtle}}),define("utils/dump",["jxg","utils/type"],function(t,e){"use strict";return t.Dump={addMarkers:function(t,i,r){var s,o,n;e.isArray(i)||(i=[i]),e.isArray(r)||(r=[r]),o=Math.min(i.length,r.length),i.length=o,r.length=o;for(s in t.objects)if(t.objects.hasOwnProperty(s))for(n=0;o>n;n++)t.objects[s][i[n]]=r[n]},deleteMarkers:function(t,i){var r,s,o;e.isArray(i)||(i=[i]),s=i.length,i.length=s;for(r in t.objects)if(t.objects.hasOwnProperty(r))for(o=0;s>o;o++)delete t.objects[r][i[o]]},str:function(t){return"string"==typeof t&&"function"!==t.substr(0,7)&&(t='"'+t+'"'),t},minimizeObject:function(t,i){var r,s,o,n={},a=e.deepCopy(t),h=[];for(o=1;o<arguments.length;o++)h.push(arguments[o]);for(o=h.length;o>0;o--)n=e.deepCopy(n,h[o-1],!0);for(r in n)n.hasOwnProperty(r)&&(s=r.toLowerCase(),"object"!=typeof n[r]&&n[r]===a[s]&&delete a[s]);return a},prepareAttributes:function(e,i){var r,s;r=this.minimizeObject(i.getAttributes(),t.Options[i.elType]);for(s in i.subs)i.subs.hasOwnProperty(s)&&(r[s]=this.minimizeObject(i.subs[s].getAttributes(),t.Options[i.elType][s],t.Options[i.subs[s].elType]),r[s].id=i.subs[s].id,r[s].name=i.subs[s].name);return r.id=i.id,r.name=i.name,r},setBoundingBox:function(t,e,i){return t.push({obj:i,method:"setBoundingBox",params:[e.getBoundingBox(),!0]}),t},dump:function(t){var i,r,s,o,n=[],a=[],h=[],l=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),i=0;l>i;i++)if(r=t.objectsList[i],s={},!r.dumped&&r.dump){for(s.type=r.getType(),s.parents=r.getParents().slice(),"point"===s.type&&1===s.parents[0]&&(s.parents=s.parents.slice(1)),o=0;o<s.parents.length;o++)e.isString(s.parents[o])&&"'"!==s.parents[o][0]&&'"'!==s.parents[o][0]?s.parents[o]='"'+s.parents[o]+'"':e.isArray(s.parents[o])&&(s.parents[o]="["+s.parents[o].toString()+"]");s.attributes=this.prepareAttributes(t,r),"glider"===s.type&&r.onPolygon&&n.push({obj:r.id,prop:"onPolygon",val:!0}),h.push(s)}return this.deleteMarkers(t,"dumped"),{elements:h,props:n,methods:a}},arrayToParamStr:function(t,e){var i,r=[];for(i=0;i<t.length;i++)r.push(e.call(this,t[i]));return r.join(", ")},toJCAN:function(t){var i,r,s;switch(typeof t){case"object":if(t){if(r=[],e.isArray(t)){for(i=0;i<t.length;i++)r.push(this.toJCAN(t[i]));return"["+r.join(",")+"]"}for(s in t)t.hasOwnProperty(s)&&r.push(s+": "+this.toJCAN(t[s]));return"<<"+r.join(", ")+">> "}return"null";case"string":return"'"+t.replace(/(["'])/g,"\\$1")+"'";case"number":case"boolean":return t.toString();case"null":return"null"}},toJessie:function(t){var e,i,r=this.dump(t),s=[];for(r.methods=this.setBoundingBox(r.methods,t,"$board"),i=r.elements,e=0;e<i.length;e++)i[e].attributes.name.length>0&&s.push("// "+i[e].attributes.name),s.push("s"+e+" = "+i[e].type+"("+i[e].parents.join(", ")+") "+this.toJCAN(i[e].attributes).replace(/\n/,"\\n")+";"),s.push("");for(e=0;e<r.methods.length;e++)s.push(r.methods[e].obj+"."+r.methods[e].method+"("+this.arrayToParamStr(r.methods[e].params,this.toJCAN)+");"),s.push("");for(e=0;e<r.props.length;e++)s.push(r.props[e].obj+"."+r.props[e].prop+" = "+this.toJCAN(r.props[e].val)+";"),s.push("");return s.join("\n")},toJavaScript:function(t){var i,r,s=this.dump(t),o=[];for(s.methods=this.setBoundingBox(s.methods,t,"board"),r=s.elements,i=0;i<r.length;i++)o.push('board.create("'+r[i].type+'", ['+r[i].parents.join(", ")+"], "+e.toJSON(r[i].attributes)+");");for(i=0;i<s.methods.length;i++)o.push(s.methods[i].obj+"."+s.methods[i].method+"("+this.arrayToParamStr(s.methods[i].params,e.toJSON)+");"),o.push("");for(i=0;i<s.props.length;i++)o.push(s.props[i].obj+"."+s.props[i].prop+" = "+e.toJSON(s.props[i].val)+";"),o.push("");return o.join("\n")}},t.Dump}),define("element/slopetriangle",["jxg","options","utils/type","base/constants","base/line","base/polygon","base/point","base/element"],function(t,e,i,r,s,o,n,a){"use strict";var h={removeSlopeTriangle:function(){o.Polygon.prototype.remove.call(this),this.board.removeObject(this.toppoint),this.board.removeObject(this.glider),this.board.removeObject(this.baseline),this.board.removeObject(this.basepoint),this.board.removeObject(this.label),this._isPrivateTangent&&this.board.removeObject(this.tangent)},Value:function(){return this.tangent.getSlope()}};return t.createSlopeTriangle=function(e,s,o){var n,a,l,c,d,u,p,f,m,g=!1;if(1===s.length&&s[0].type===r.OBJECT_TYPE_TANGENT)a=s[0],l=a.glider;else if(1===s.length&&s[0].type===r.OBJECT_TYPE_GLIDER)l=s[0],m=i.copyAttributes(o,e.options,"slopetriangle","tangent"),a=e.create("tangent",[l],m),g=!0;else{if(2!==s.length||s[0].elementClass!==r.OBJECT_CLASS_LINE||!i.isPoint(s[1]))throw new Error("JSXGraph: Can't create slope triangle with parent types '"+typeof s[0]+"'.");a=s[0],l=s[1]}return m=i.copyAttributes(o,e.options,"slopetriangle","basepoint"),p=e.create("point",[function(){return[l.X()+1,l.Y()]}],m),m=i.copyAttributes(o,e.options,"slopetriangle","baseline"),u=e.create("line",[l,p],m),m=i.copyAttributes(o,e.options,"slopetriangle","glider"),c=e.create("glider",[l.X()+1,l.Y(),u],m),m=i.copyAttributes(o,e.options,"slopetriangle","toppoint"),d=e.create("point",[function(){return[c.X(),c.Y()+(c.X()-l.X())*a.getSlope()]}],m),m=i.copyAttributes(o,e.options,"slopetriangle"),n=e.create("polygon",[l,c,d],m),n.Value=h.Value,n.tangent=a,n._isPrivateTangent=g,m=i.copyAttributes(o,e.options,"slopetriangle","label"),f=e.create("text",[function(){return c.X()+.1},function(){return.5*(c.Y()+d.Y())},function(){return""}],m),f._setText(function(){return n.Value().toFixed(f.visProp.digits)}),f.prepareUpdate().update().updateRenderer(),n.glider=c,n.basepoint=p,n.baseline=u,n.toppoint=d,n.label=f,n.methodMap=t.deepCopy(n.methodMap,{tangent:"tangent",glider:"glider",basepoint:"basepoint",baseline:"baseline",toppoint:"toppoint",label:"label",Value:"Value",V:"Value"}),n.remove=h.removeSlopeTriangle,n},t.registerElement("slopetriangle",t.createSlopeTriangle),{createSlopeTriangle:t.createSlopeTriangle}}),define("element/checkbox",["jxg","utils/env","utils/type"],function(t,e,i){"use strict";var r={CheckboxChangeEventHandler:function(){this._value=this.rendNodeCheckbox.checked,this.board.update()}};return t.createCheckbox=function(s,o,n){var a,h,l=i.copyAttributes(n,s.options,"checkbox");return h=[o[0],o[1],'<form style="display:inline"><input type="checkbox" /><span></span></form>'],a=t.createText(s,h,l),a.type=i.OBJECT_TYPE_CHECKBOX,a.rendNodeForm=a.rendNode.childNodes[0],a.rendNodeForm.id=a.rendNode.id+"_form",a.rendNodeCheckbox=a.rendNodeForm.childNodes[0],a.rendNodeCheckbox.id=a.rendNode.id+"_checkbox",a.rendNodeTag=a.rendNodeCheckbox,a.rendNodeTag.disabled=!!l.disabled,a.rendNodeLabel=a.rendNodeForm.childNodes[1],a.rendNodeLabel.id=a.rendNode.id+"_label",a.rendNodeLabel.innerHTML=o[2],a.visPropOld.fontsize="0px",s.renderer.updateTextStyle(a,!1),a._value=!1,a.Value=function(){return this._value},a.update=function(){return this.needsUpdate&&(this._value=this.rendNodeCheckbox.checked),this},e.addEvent(a.rendNodeCheckbox,"change",r.CheckboxChangeEventHandler,a),a},t.registerElement("checkbox",t.createCheckbox),{createCheckbox:t.createCheckbox}}),define("element/input",["jxg","utils/env","utils/type"],function(t,e,i){"use strict";var r={InputInputEventHandler:function(t){this._value=this.rendNodeInput.value,this.board.update()}};return t.createInput=function(s,o,n){var a,h,l=i.copyAttributes(n,s.options,"input");return h=[o[0],o[1],'<form style="display:inline"><span></span><input type="text" /></form>'],a=t.createText(s,h,l),a.type=i.OBJECT_TYPE_INPUT,a.rendNodeForm=a.rendNode.childNodes[0],a.rendNodeForm.id=a.rendNode.id+"_form",a.rendNodeLabel=a.rendNodeForm.childNodes[0],a.rendNodeLabel.id=a.rendNode.id+"_label",a.rendNodeLabel.innerHTML=o[3],a.rendNodeInput=a.rendNodeForm.childNodes[1],a.rendNodeInput.id=a.rendNode.id+"_input",a.rendNodeInput.value=o[2],a.rendNodeTag=a.rendNodeInput,a.rendNodeTag.disabled=!!l.disabled,a.visPropOld.fontsize="0px",s.renderer.updateTextStyle(a,!1),a._value=o[2],a.Value=function(){return this._value},a.update=function(){return this.needsUpdate&&(this._value=this.rendNodeInput.value),this},e.addEvent(a.rendNodeInput,"input",r.InputInputEventHandler,a),a},t.registerElement("input",t.createInput),{createInput:t.createInput}}),define("element/button",["jxg","utils/env","utils/type"],function(t,e,i){"use strict";var r={ButtonClickEventHandler:function(){this._handler&&this._handler(),this.board.update()}};return t.createButton=function(s,o,n){var a,h,l=i.copyAttributes(n,s.options,"button");return h=[o[0],o[1],'<button type="button"></button>'],a=t.createText(s,h,l),a.type=i.OBJECT_TYPE_BUTTON,a.rendNodeButton=a.rendNode.childNodes[0],a.rendNodeButton.id=a.rendNode.id+"_button",a.rendNodeButton.innerHTML=o[2],a.rendNodeTag=a.rendNodeButton,a.rendNodeTag.disabled=!!l.disabled,a.visPropOld.fontsize="0px",
s.renderer.updateTextStyle(a,!1),o[3]&&(i.isString(o[3])?(a._jc=new t.JessieCode,a._jc.use(s),a._handler=function(){a._jc.parse(o[3])}):a._handler=o[3]),e.addEvent(a.rendNodeButton,"click",r.ButtonClickEventHandler,a),a},t.registerElement("button",t.createButton),{createButton:t.createButton}}),define("../build/core.deps.js",["jxg","utils/env","base/constants","utils/type","utils/xml","utils/event","utils/expect","math/math","math/qdt","math/numerics","math/statistics","math/symbolic","math/geometry","math/poly","math/complex","renderer/abstract","renderer/no","reader/file","parser/geonext","base/board","options","jsxgraph","base/element","base/coords","base/point","base/line","base/group","base/circle","element/conic","base/polygon","base/curve","element/arc","element/sector","base/composition","element/composition","element/locus","base/text","base/image","element/slider","element/measure","base/chart","base/transformation","base/turtle","utils/color","base/ticks","utils/zip","utils/base64","utils/uuid","utils/encoding","server/server","parser/datasource","parser/jessiecode","utils/dump","renderer/svg","renderer/vml","renderer/canvas","renderer/no","element/slopetriangle","element/checkbox","element/input","element/button"],function(t,e){"use strict";return e.isBrowser?window.JXG=t:e.isNode()&&"object"==typeof module?module.exports=t:e.isWebWorker()&&(self.JXG=t),t}),require("../build/core.deps.js")}();