/*
    JSXGraph 0.99.2

    Copyright 2008-2014
        Matthias Ehmann,
        Michael Gerhaeuser,
        Carsten Miller,
        Bianca Valentin,
        Alfred Wassermann,
        Peter Wilfahrt

    This file is part of JSXGraph.

    JSXGraph is free software dual licensed under the GNU LGPL or MIT License.

    You can redistribute it and/or modify it under the terms of the

      * GNU Lesser General Public License as published by
        the Free Software Foundation, either version 3 of the License, or
        (at your option) any later version
      OR
      * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT

    JSXGraph is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License and
    the MIT License along with JSXGraph. If not, see <http://www.gnu.org/licenses/>
    and <http://opensource.org/licenses/MIT/>.
*/

/**
 * almond 0.2.5 Copyright (c) 2011-2012, The Dojo Foundation All Rights Reserved.
 * Available via the MIT or new BSD license.
 * see: http://github.com/jrburke/almond for details
 */

/**
 * UTF-8 Decoder by Bjoern Hoehrmann
 *
 * Copyright (c) 2008-2009 Bjoern Hoehrmann <bjoern@hoehrmann.de>
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy of this
 * software and associated documentation files (the "Software"), to deal in the Software
 * without restriction, including without limitation the rights to use, copy, modify, merge,
 * publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons
 * to whom the Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in all copies or
 * substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
 * BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
 * DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */
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i.pageX||i.pageY?(h=i.pageX,l=i.pageY):(i.clientX||i.clientY)&&(h=i.clientX+s.body.scrollLeft+s.documentElement.scrollLeft,l=i.clientY+s.body.scrollTop+s.documentElement.scrollTop),[h,l]},getOffset:function(t){var 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;return s=e.ownerDocument,window.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=["transform","webkitTransform","MozTransform","msTransform","oTransform"],d=[[1,0,0],[0,1,0],[0,0,1]];for(a=c.length,i=0,s="";a>i;i++)if(e.exists(t.style[c[i]])){s=t.style[c[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")?d=[[1,0,0],[0,l[0],l[1]],[0,l[2],l[3]]]:0===s.indexOf("scaleX")?d[1][1]=l[0]:0===s.indexOf("scaleY")?d[2][2]=l[0]:0===s.indexOf("scale")&&(d[1][1]=l[0],d[2][2]=l[1])}return d},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){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 DOMParser?DOMParser:function(){this.parseFromString=function(t){var e;return"function"==typeof ActiveXObject&&(e=new ActiveXObject("MSXML.DomDocument"),e.loadXML(t)),e}},e=new r,i=e.parseFromString(t,"text/xml"),this.cleanWhitespace(i),i}},t.XML}),define("utils/event",["jxg","utils/type"],function(t,e){return t.EventEmitter={eventHandlers:{},suspended:{},trigger:function(t,e){var i,r,s,o,n,a;for(n=t.length,r=0;n>r;r++)if(o=this.eventHandlers[t[r]],!this.suspended[t[r]]){if(this.suspended[t[r]]=!0,o)for(a=o.length,i=0;a>i;i++)s=o[i],s.handler.apply(s.context,e);this.suspended[t[r]]=!1}return this},on:function(t,i,r){return 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0>t?0/0:(t=Math.floor(t),0===t||1===t?1:t*this.factorial(t-1))}),binomial:i(function(t,e){var i,r;if(e>t||0>e)return 0/0;if(e=Math.round(e),t=Math.round(t),0===e||e===t)return 1;for(i=1,r=0;e>r;r++)i*=t-r,i/=r+1;return i}),cosh:function(t){return.5*(Math.exp(t)+Math.exp(-t))},sinh:function(t){return.5*(Math.exp(t)-Math.exp(-t))},pow:function(t,e){return 0===t?0===e?1:0:Math.floor(e)===e?Math.pow(t,e):t>0?Math.exp(e*Math.log(Math.abs(t))):0/0},log10:function(t){return Math.log(t)/Math.log(10)},log2:function(t){return Math.log(t)/Math.log(2)},log:function(t,e){return"undefined"!=typeof e&&Type.isNumber(e)?Math.log(t)/Math.log(e):Math.log(t)},squampow:function(t,e){var i;if(Math.floor(e)===e){for(i=1,0>e&&(t=1/t,e*=-1);0!==e;)1&e&&(i*=t),e>>=1,t*=t;return i}return this.pow(t,e)},normalize:function(t){var e,i,r=2*t[3],s=t[4]/r;return 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]=.5*i*(t[6]*t[6]+t[7]*t[7]-s*s),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){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(){var t=s.eps;Math.abs(this.usrCoords[0])>t&&(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===!1?(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):(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))},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)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)):(n[1]=i[0],n[2]=i[1],this.screen2usr()),!this.emitter||s||h[1]===n[1]&&h[2]===n[2]||this.triggerEventHandlers(["update"],[a,h]),this},copy:function(t,e){return"undefined"==typeof e&&(e=0),this[t].slice(e)},__evt__update:function(){},__evt:function(){}}),t.Coords}),define("utils/color",["jxg","utils/type","math/math"],function(t,e,i){var 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o,n,a,h,l,c,d=[],u=[],p=0,f=r,m=0;if(e=Math.round(e),d[p]=f,u[p]=0,e>0)for(l=(s-r)/e,h=.01*l,o=0;e>o;o++){if("right"===i)c=t(f+l);else if("middle"===i)c=t(f+.5*l);else if("left"===i||"trapezoidal"===i)c=t(f);else if("lower"===i){for(c=t(f),n=f+h;f+l>=n;n+=h)a=t(n),c>a&&(c=a);a=t(f+l),c>a&&(c=a)}else if("upper"===i){for(c=t(f),n=f+h;f+l>=n;n+=h)a=t(n),a>c&&(c=a);a=t(f+l),a>c&&(c=a)}else c="random"===i?t(f+l*Math.random()):"simpson"===i?(t(f)+4*t(f+.5*l)+t(f+l))/6:t(f);p+=1,d[p]=f,u[p]=c,p+=1,f+=l,"trapezoidal"===i&&(c=t(f)),d[p]=f,u[p]=c,p+=1,d[p]=f,u[p]=0,m+=c*l}return[d,u,m]},riemannsum:function(t,e,i,r,s){var o,n,a,h,l,c,d=0,u=r;if(e=Math.floor(e),e>0)for(l=(s-r)/e,h=.01*l,o=0;e>o;o++){if("right"===i)c=t(u+l);else if("middle"===i)c=t(u+.5*l);else if("trapezoidal"===i)c=.5*(t(u+l)+t(u));else if("left"===i)c=t(u);else if("lower"===i){for(c=t(u),n=u+h;u+l>=n;n+=h)a=t(n),c>a&&(c=a);a=t(u+l),c>a&&(c=a)}else 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length of array x0 has to be at least two.");for(o=r[0],n=r[1],h=o+P*(n-o),d=i.call(s,h),w+=1,a=h,l=h,c=d,u=d;S>O;){if(p=n-o,f=.5*(o+n),m=E*Math.abs(a)+_/3,Math.abs(a-f)+.5*p<=2*m)return a;b=P*(f>a?n-a:o-a),Math.abs(a-l)>=m&&(y=(a-l)*(c-d),v=(a-h)*(c-u),g=(a-h)*v-(a-l)*y,v=2*(v-y),v>0?g=-g:v=-v,Math.abs(g)<Math.abs(b*v)&&g>v*(o-a+2*m)&&v*(n-a-2*m)>g&&(b=g/v)),Math.abs(b)<m&&(b=b>0?m:-m),y=a+b,C=i.call(s,y),w+=1,c>=C?(a>y?n=a:o=a,h=l,l=a,a=y,d=u,u=c,c=C):(a>y?o=y:n=y,u>=C||l===a?(h=l,l=y,d=u,u=C):(d>=C||h===a||h===l)&&(h=y,d=C)),O+=1
}return a},RamerDouglasPeucker:function(t,i){var r,s,o,n=[],a=function(t,i,r){var s,o,n,a,h,l,c,d,u,p,f,m=0,b=i;if(2>r-i)return[-1,0];if(n=t[i].scrCoords,a=t[r].scrCoords,isNaN(n[1]+n[2]))return[0/0,i];if(isNaN(a[1]+a[2]))return[0/0,r];for(o=i+1;r>o;o++){if(h=t[o].scrCoords,isNaN(h[1]+h[2]))return[0/0,o];l=h[1]-n[1],c=h[2]-n[2],d=a[1]-n[1],u=a[2]-n[2],p=d*d+u*u,p>=e.eps?(f=(l*d+c*u)/p,0>f?f=0:f>1&&(f=1),l-=f*d,c-=f*u,s=l*l+c*c):(f=0,s=l*l+c*c),s>m&&(m=s,b=o)}return[Math.sqrt(m),b]},h=function(t,e,i,r,s){var o=a(t,e,i),n=o[1];if(isNaN(o[0])){h(t,e,n-1,r,s),s.push(t[n]);do++n;while(i>=n&&isNaN(t[n].scrCoords[1]+t[n].scrCoords[2]));i>=n&&s.push(t[n]),h(t,n+1,i,r,s)}else o[0]>r?(h(t,e,n,r,s),h(t,n,i,r,s)):s.push(t[i])};for(o=t.length,r=0;o>r&&isNaN(t[r].scrCoords[1]+t[r].scrCoords[2]);)r+=1;for(s=o-1;s>r&&isNaN(t[s].scrCoords[1]+t[s].scrCoords[2]);)s-=1;return r>s||r===o||(n[0]=t[r],h(t,r,s,i,n)),n},RamerDouglasPeuker:function(t,e){return this.RamerDouglasPeucker(t,e)}},e.Numerics}),define("math/geometry",["jxg","base/constants","base/coords","math/math","math/numerics","utils/type","utils/expect"],function(t,e,i,r,s,o,n){return r.Geometry={},t.extend(r.Geometry,{angle:function(t,e,i){var r,s,o,n,a=[],h=[],l=[];return t.coords?(a[0]=t.coords.usrCoords[1],a[1]=t.coords.usrCoords[2]):(a[0]=t[0],a[1]=t[1]),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=a[0]-h[0],s=a[1]-h[1],o=l[0]-h[0],n=l[1]-h[1],Math.atan2(r*n-s*o,r*o+s*n)},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,e,s){var n,a,h,l,c,d=t.point1.coords.usrCoords,u=t.point2.coords.usrCoords,p=e.coords.usrCoords;return o.exists(s)||(s=e.board),e===t.point1?(n=d[1]+u[2]-d[2],a=d[2]-u[1]+d[1],c=d[0]*u[0],Math.abs(c)<r.eps&&(n=u[2],a=-u[1]),l=[c,n,a],h=!0):e===t.point2?(n=u[1]+d[2]-u[2],a=u[2]-d[1]+u[1],c=d[0]*u[0],Math.abs(c)<r.eps&&(n=d[2],a=-d[1]),l=[c,n,a],h=!1):Math.abs(r.innerProduct(p,t.stdform,3))<r.eps?(n=p[1]+u[2]-p[2],a=p[2]-u[1]+p[1],c=u[0],Math.abs(c)<r.eps&&(n=u[2],a=-u[1]),h=!0,Math.abs(c)>r.eps&&Math.abs(n-p[1])<r.eps&&Math.abs(a-p[2])<r.eps&&(n=p[1]+d[2]-p[2],a=p[2]-d[1]+p[1],h=!1),l=[c,n,a]):(l=[0,t.stdform[1],t.stdform[2]],l=r.crossProduct(l,p),l=r.crossProduct(l,t.stdform),h=!0),[new i(o.COORDS_BY_USER,l,s),h]},circumcenterMidpoint:t.shortcut(r.Geometry,"circumcenter"),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(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,b;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||(b=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,b=d):(b=c,m=d),m&&i.setCoordinates(e.COORDS_BY_USER,m.usrCoords),b&&s.setCoordinates(e.COORDS_BY_USER,b.usrCoords)}},calcLineDelimitingPoints:function(t,i,s){var o,n,a,h,l,c,d,u,p,f,m=!1,b=!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,b=!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&&!b){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?b||(f=this.isSameDir(i,s,h,l)?l:h):b?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 r,s,o,n,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?[0,0/0,0/0]: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,b;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,[0/0,0/0],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),b=[(-p+m)/(2*u),(-p-m)/(2*u)],0===o?new i(e.COORDS_BY_USER,[-b[0]*-d[1]-c*d[0],-b[0]*d[0]-c*d[1]],n):new i(e.COORDS_BY_USER,[-b[1]*-d[1]-c*d[0],-b[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=[0,0/0,0/0];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,b=10*r.eps;return 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 Math.sqrt(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},l=s.root(c,[t.minX(),t.maxX()]),l=s.root(d,l),m=Math.abs(d(l))>b?0/0:1,new i(e.COORDS_BY_USER,[m,t.X(l),t.Y(l)],a)},meetCurveLineContinuousOld:function(t,o,n,a){var h,l,c,d,u,p,f,m,b,g,v,y,C=10*r.eps;if(d=function(e){var i=o.stdform[0]+o.stdform[1]*t.X(e)+o.stdform[2]*t.Y(e);return i*i},this.meetCurveLineContinuous.t1memo?(b=this.meetCurveLineContinuous.t1memo,h=s.root(d,b)):(b=t.minX(),g=t.maxX(),h=s.root(d,[b,g])),this.meetCurveLineContinuous.t1memo=h,v=t.X(h),y=t.Y(h),1===n){if(this.meetCurveLineContinuous.t2memo&&(b=this.meetCurveLineContinuous.t2memo),l=s.root(d,b),!(Math.abs(l-h)>.1&&Math.abs(v-t.X(l))>.1&&Math.abs(y-t.Y(l))>.1))for(f=20,m=(t.maxX()-t.minX())/f,p=t.minX(),c=0;f>c&&(l=s.root(d,[p,p+m]),!(Math.abs(d(l))<=C&&Math.abs(l-h)>.1&&Math.abs(v-t.X(l))>.1&&Math.abs(y-t.Y(l))>.1));c++)p+=m;h=l,this.meetCurveLineContinuous.t2memo=h}return u=Math.abs(d(h))>C?0/0:1,new i(e.COORDS_BY_USER,[u,t.X(h),t.Y(h)],a)},meetCurveLineDiscrete:function(t,s,o,n,a){var 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r,s,o,n,a,h,l,c,d,u=0,p=e.points.length,f=t.points.length;if(1>=p||1>=f)return[0,0/0,0/0];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[0,0/0,0/0]},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 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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 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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){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:"setLabelText",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.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(r[e])?this.parents.push(r[e]):l.exists(r[e].id)&&this.parents.push(r[e].id);this.parents=l.uniqueArray(this.parents)},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(){return this},draggable:function(){return this.isDraggable&&!this.visProp.fixed&&!this.visProp.frozen&&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 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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},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:t.shortcut(t.GeometryElement.prototype,"setAttribute"),setAttribute:function(){var i,r,s,o,n,a,c,d={},u=function(t){return function(){return t}};for(i=0;i<arguments.length;i++)o=arguments[i],l.isString(o)?(a=o.split(":"),d[l.trim(a[0])]=l.trim(a[1])):l.isArray(o)?d[o[0]]=o[1]:t.extend(d,o);d=this.resolveShortcuts(d);for(i in d)if(d.hasOwnProperty(i)){switch(r=i.replace(/\s+/g,"").toLowerCase(),s=d[i],c=this.visProp[r],r){case"name":c=this.name,delete this.board.elementsByName[this.name],this.name=s,this.board.elementsByName[this.name]=this;break;case"needsregularupdate":this.needsRegularUpdate=!("false"===s||s===!1),this.board.renderer.setBuffering(this,this.needsRegularUpdate?"auto":"static");break;case"labelcolor":s=h.rgba2rgbo(s),n=s[1],s=s[0],0===n&&l.exists(this.label)&&this.hasLabel&&this.label.hideElement(),l.exists(this.label)&&this.hasLabel&&(this.label.visProp.strokecolor=s,this.board.renderer.setObjectStrokeColor(this.label,s,n)),this.elementClass===e.OBJECT_CLASS_TEXT&&(this.visProp.strokecolor=s,this.visProp.strokeopacity=n,this.board.renderer.setObjectStrokeColor(this,this.visProp.strokecolor,this.visProp.strokeopacity));break;case"infoboxtext":this.infoboxText="string"==typeof s?s:!1;break;case"visible":"false"===s||s===!1?(this.visProp.visible=!1,this.hideElement()):("true"===s||s===!0)&&(this.visProp.visible=!0,this.showElement());break;case"face":l.isPoint(this)&&(this.visProp.face=s,this.board.renderer.changePointStyle(this));break;case"trace":"false"===s||s===!1?(this.clearTrace(),this.visProp.trace=!1):this.visProp.trace=!0;break;case"gradient":this.visProp.gradient=s,this.board.renderer.setGradient(this);break;case"gradientsecondcolor":s=h.rgba2rgbo(s),this.visProp.gradientsecondcolor=s[0],this.visProp.gradientsecondopacity=s[1],this.board.renderer.updateGradient(this);break;case"gradientsecondopacity":this.visProp.gradientsecondopacity=s,this.board.renderer.updateGradient(this);break;case"withlabel":this.visProp.withlabel=s,s?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=s;break;case"radius":(this.type===e.OBJECT_TYPE_ANGLE||this.type===e.OBJECT_TYPE_SECTOR)&&this.setRadius(s);break;case"rotate":(this.elementClass===e.OBJECT_CLASS_TEXT&&"internal"===this.visProp.display||this.type===e.OBJECT_TYPE_IMAGE)&&this.addRotation(s);break;case"ticksdistance":this.type===e.OBJECT_TYPE_TICKS&&"number"==typeof s&&(this.ticksFunction=u(s));break;case"generatelabelvalue":this.type===e.OBJECT_TYPE_TICKS&&"function"==typeof s&&(this.generateLabelValue=s);break;case"onpolygon":this.type===e.OBJECT_TYPE_GLIDER&&(this.onPolygon=!!s);break;default:l.exists(this.visProp[r])&&(!t.Validator[r]||t.Validator[r]&&t.Validator[r](s)||t.Validator[r]&&l.isFunction(s)&&t.Validator[r](s()))&&(s=s.toLowerCase&&"false"===s.toLowerCase()?!1:s,this._set(r,s))}this.triggerEventHandlers(["attribute:"+r],[c,s,this])}return this.triggerEventHandlers(["attribute"],[d,this]),this.visProp.needsregularupdate?this.board.update(this):this.board.fullUpdate(),this},getProperty:t.shortcut(t.GeometryElement.prototype,"getAttribute"),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"function"==typeof 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(t){return this.setAttribute({highlightStrokeColor:t}),this},strokeColor:function(t){return this.setAttribute({strokeColor:t}),this},strokeWidth:function(t){return this.setAttribute({strokeWidth:t}),this},fillColor:function(t){return this.setAttribute({fillColor:t}),this},highlightFillColor:function(t){return this.setAttribute({highlightFillColor:t}),this},labelColor:function(t){return this.setAttribute({labelColor:t}),this},dash:function(t){return this.setAttribute({dash:t}),this},visible:function(t){return this.setAttribute({visible:t}),this},shadow:function(t){return this.setAttribute({shadow:t}),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=["attractors","snatchdistance","traceattributes","frozen","shadow","gradientangle","gradientsecondopacity","gradientpositionx","gradientpositiony","needsregularupdate","zoom","layer","offset"];for(e.id=this.id,e.name=this.name,t=0;t<i.length;t++)delete e[i[t]];return e},hasPoint:function(){return!1},handleSnapToGrid:function(i){var r,s,o,n=this.visProp.snapsizex,a=this.visProp.snapsizey;return t.exists(this.coords)?((this.visProp.snaptogrid||i===!0)&&(r=this.coords.usrCoords[1],s=this.coords.usrCoords[2],0>=n&&this.board.defaultAxes&&this.board.defaultAxes.x.defaultTicks&&(o=this.board.defaultAxes.x.defaultTicks,n=o.ticksDelta*(o.visProp.minorticks+1)),0>=a&&this.board.defaultAxes&&this.board.defaultAxes.y.defaultTicks&&(o=this.board.defaultAxes.y.defaultTicks,a=o.ticksDelta*(o.visProp.minorticks+1)),n>0&&a>0&&this.coords.setCoordinates(e.COORDS_BY_USER,[Math.round(r/n)*n,Math.round(s/a)*a])),this):this},addEvent:t.shortcut(t.GeometryElement.prototype,"on"),removeEvent:t.shortcut(t.GeometryElement.prototype,"off"),__evt__over:function(){},__evt__mouseover:function(){},__evt__out:function(){},__evt__mouseout:function(){},__evt__move:function(){},__evt__mousemove:function(){},__evt__drag:function(){},__evt__mousedrag:function(){},__evt__touchdrag:function(){},__evt__down:function(){},__evt__mousedown:function(){},__evt__touchdown:function(){},__evt__up:function(){},__evt__mouseup:function(){},__evt__touchup:function(){},__evt__attribute:function(){},__evt__attribute_:function(){},__evt:function(){}}),t.GeometryElement}),define("base/transformation",["jxg","base/constants","math/math","utils/type"],function(t,e,i,r){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(){},setAttribute:function(){},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}}),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/point",["jxg","options","math/math","math/geometry","math/numerics","base/coords","base/constants","base/element","parser/geonext","utils/type","base/transformation"],function(t,e,i,r,s,o,n,a,h,l){return t.Point=function(t,e,i){this.constructor(t,i,n.OBJECT_TYPE_POINT,n.OBJECT_CLASS_POINT),l.exists(e)||(e=[0,0]),this.coords=new o(n.COORDS_BY_USER,e,this.board),this.initialCoords=new o(n.COORDS_BY_USER,e,this.board),this.position=null,this.onPolygon=!1,this.slideObject=null,this.slideObjects=[],this.needsUpdateFromParent=!0,this.Xjc=null,this.Yjc=null,this.methodMap=l.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"}),this.group=[],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,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},updateConstraint:function(){return this},update:function(t){return this.needsUpdate?(l.exists(t)||(t=!1),this.type===n.OBJECT_TYPE_GLIDER&&(t?this.updateGliderFromParent():this.updateGlider()),(this.type===n.OBJECT_TYPE_CAS||this.type===n.OBJECT_TYPE_INTERSECTION||this.type===n.OBJECT_TYPE_AXISPOINT)&&this.updateConstraint(),this.updateTransform(),this.visProp.trace&&this.cloneToBackground(!0),this):this},updateGlider:function(){var t,e,s,a,h,c,d,u,p,f,m,b,g,v,y,C,P,_=!1,E=this.slideObject;if(this.needsUpdateFromParent=!1,E.elementClass===n.OBJECT_CLASS_CIRCLE)C=r.projectPointToCircle(this,E,this.board),P=r.rad([E.center.X()+1,E.center.Y()],E.center,this);else if(E.elementClass===n.OBJECT_CLASS_LINE){if(this.onPolygon){if(e=E.point1.coords.usrCoords,s=E.point2.coords.usrCoords,t=1,a=s[t]-e[t],Math.abs(a)<i.eps&&(t=2,a=s[t]-e[t]),d=r.projectPointToLine(this,E,this.board),u=(d.usrCoords[t]-e[t])/a,c=E.parentPolygon,0>u){for(t=0;t<c.borders.length;t++)if(E===c.borders[t]){E=c.borders[(t-1+c.borders.length)%c.borders.length];break}}else if(u>1)for(t=0;t<c.borders.length;t++)if(E===c.borders[t]){E=c.borders[(t+1+c.borders.length)%c.borders.length];break}E.id!==this.slideObject.id&&(this.slideObject=E)}e=E.point1.coords,s=E.point2.coords,a=e.distance(n.COORDS_BY_USER,s),a<i.eps?(C=e,_=!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,a=s[t],Math.abs(a)<i.eps&&(t=2,a=s[t]),a=(C.usrCoords[t]-e[t])/a,p=a>=0?1:-1,a=Math.abs(a),P=p*a/(a+1)):Math.abs(e[0])<i.eps?(t=1,a=e[t],Math.abs(a)<i.eps&&(t=2,a=e[t]),a=(C.usrCoords[t]-s[t])/a,P=0>a?(1-2*a)/(1-a):1/(a+1)):(t=1,a=s[t]-e[t],Math.abs(a)<i.eps&&(t=2,a=s[t]-e[t]),P=(C.usrCoords[t]-e[t])/a)),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,_=!0,P=0),s=E.point2.coords,!E.visProp.straightlast&&Math.abs(s.usrCoords[0])>i.eps&&P>1&&(C=s,_=!0,P=1)}else E.type===n.OBJECT_TYPE_TURTLE?(this.updateConstraint(),C=r.projectPointToTurtle(this,E,this.board),P=this.position):E.elementClass===n.OBJECT_CLASS_CURVE?E.type===n.OBJECT_TYPE_ARC||E.type===n.OBJECT_TYPE_SECTOR?(C=r.projectPointToCircle(this,E,this.board),b=r.rad(E.radiuspoint,E.center,this),f=0,m=r.rad(E.radiuspoint,E.center,E.anglepoint),P=b,("minor"===E.visProp.type&&m>Math.PI||"major"===E.visProp.type&&m<Math.PI)&&(f=m,m=2*Math.PI),(f>b||b>m)&&(P=m,(f>b&&b>.5*f||b>m&&b>.5*m+Math.PI)&&(P=f),this.needsUpdateFromParent=!0,this.updateGliderFromParent())):(this.updateConstraint(),E.transformations.length>0?(E.updateTransformMatrix(),y=i.inverse(E.transformMat),v=i.matVecMult(y,this.coords.usrCoords),g=new o(n.COORDS_BY_USER,v,this.board).usrCoords,v=r.projectCoordsToCurve(g[1],g[2],this.position||0,E,this.board),C=v[0],P=v[1]):(C=r.projectPointToCurve(this,E,this.board),P=this.position)):l.isPoint(E)&&(C=r.projectPointToPoint(this,E,this.board),P=this.position);this.coords.setCoordinates(n.COORDS_BY_USER,C.usrCoords,_),this.position=P},updateGliderFromParent:function(){var t,e,s,o,a,h,c,d,u=this.slideObject;return this.needsUpdateFromParent?(u.elementClass===n.OBJECT_CLASS_CIRCLE?(s=u.Radius(),a=[u.center.X()+s*Math.cos(this.position),u.center.Y()+s*Math.sin(this.position)]):u.elementClass===n.OBJECT_CLASS_LINE?(t=u.point1.coords.usrCoords,e=u.point2.coords.usrCoords,Math.abs(e[0])<i.eps?(o=Math.min(Math.abs(this.position),1-i.eps),o/=1-o,this.position<0&&(o=-o),a=[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,a=[e[0]+o*t[0],e[1]+o*t[1],e[2]+o*t[2]]):(o=this.position,a=[t[0]+o*(e[0]-t[0]),t[1]+o*(e[1]-t[1]),t[2]+o*(e[2]-t[2])])):u.type===n.OBJECT_TYPE_TURTLE?(this.coords.setCoordinates(n.COORDS_BY_USER,[u.Z(this.position),u.X(this.position),u.Y(this.position)]),this.updateConstraint(),a=r.projectPointToTurtle(this,u,this.board).usrCoords):u.elementClass===n.OBJECT_CLASS_CURVE?(this.coords.setCoordinates(n.COORDS_BY_USER,[u.Z(this.position),u.X(this.position),u.Y(this.position)]),u.type===n.OBJECT_TYPE_ARC||u.type===n.OBJECT_TYPE_SECTOR?(h=r.rad([u.center.X()+1,u.center.Y()],u.center,u.radiuspoint),c=0,d=r.rad(u.radiuspoint,u.center,u.anglepoint),("minor"===u.visProp.type&&d>Math.PI||"major"===u.visProp.type&&d<Math.PI)&&(c=d,d=2*Math.PI),(this.position<c||this.position>d)&&(this.position=d,(this.position<c&&this.position>.5*c||this.position>d&&this.position>.5*d+Math.PI)&&(this.position=c)),s=u.Radius(),a=[u.center.X()+s*Math.cos(this.position+h),u.center.Y()+s*Math.sin(this.position+h)]):(this.updateConstraint(),a=r.projectPointToCurve(this,u,this.board).usrCoords)):l.isPoint(u)&&(a=r.projectPointToPoint(this,u,this.board).usrCoords),this.coords.setCoordinates(n.COORDS_BY_USER,a,!1),void 0):(this.needsUpdateFromParent=!0,void 0)},updateRenderer:function(){var t;return this.needsUpdate?(this.visProp.visible&&this.visProp.size>0&&(t=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?(t!==this.isReal&&(this.board.renderer.show(this),this.hasLabel&&this.label.visProp.visible&&this.board.renderer.show(this.label)),this.board.renderer.updatePoint(this)):t!==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]},bounds:function(){return this.coords.usrCoords.slice(1).concat(this.coords.usrCoords.slice(1))},Dist:function(t){return this.isReal&&t.isReal?this.coords.distance(n.COORDS_BY_USER,t.coords):0/0},snapToGrid:function(t){return this.handleSnapToGrid(t)},handleSnapToPoints:function(t){var e,i,s,o=0,a=1/0,h=null;if(this.visProp.snaptopoints||t){for(e=0;e<this.board.objectsList.length;e++)i=this.board.objectsList[e],l.isPoint(i)&&i!==this&&i.visProp.visible&&(s=r.projectPointToPoint(this,i,this.board),o="screen"===this.visProp.attractorunit?s.distance(n.COORDS_BY_SCREEN,this.coords):s.distance(n.COORDS_BY_USER,this.coords),o<this.visProp.attractordistance&&a>o&&(a=o,h=s));null!==h&&this.coords.setCoordinates(n.COORDS_BY_USER,h.usrCoords)}return this},snapToPoints:function(t){return this.handleSnapToPoints(t)},handleAttractors:function(){var t,e,i,s=0,o=this.visProp.attractors.length;if(0!==this.visProp.attractordistance){for(t=0;o>t;t++)if(e=this.board.select(this.visProp.attractors[t]),l.exists(e)&&e!==this){if(l.isPoint(e)?i=r.projectPointToPoint(this,e,this.board):e.elementClass===n.OBJECT_CLASS_LINE?i=r.projectPointToLine(this,e,this.board):e.elementClass===n.OBJECT_CLASS_CIRCLE?i=r.projectPointToCircle(this,e,this.board):e.elementClass===n.OBJECT_CLASS_CURVE?i=r.projectPointToCurve(this,e,this.board):e.type===n.OBJECT_TYPE_TURTLE&&(i=r.projectPointToTurtle(this,e,this.board)),s="screen"===this.visProp.attractorunit?i.distance(n.COORDS_BY_SCREEN,this.coords):i.distance(n.COORDS_BY_USER,this.coords),s<this.visProp.attractordistance){(this.type!==n.OBJECT_TYPE_GLIDER||this.slideObject!==e)&&this.makeGlider(e);break}e===this.slideObject&&s>=this.visProp.snatchdistance&&this.popSlideObject()}return this}},setPositionDirectly:function(t,e){var r,s;if(this.coords,this.coords.setCoordinates(t,e),this.handleSnapToGrid(),this.handleSnapToPoints(),this.handleAttractors(),0===this.group.length){for(r=this.transformations.length-1;r>=0;r--)t===n.COORDS_BY_SCREEN?s=new o(t,e,this.board).usrCoords:(2===e.length&&(e=[1].concat(e)),s=e),this.initialCoords.setCoordinates(n.COORDS_BY_USER,i.matVecMult(i.inverse(this.transformations[r].matrix),s));this.prepareUpdate().update()}return this.board.isSuspendedUpdate&&this.type===n.OBJECT_TYPE_GLIDER&&this.updateGlider(),e},setPositionByTransform:function(t,e){var i;return e=new o(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===n.OBJECT_TYPE_GLIDER&&(this.position=t,this.board.update()),this},makeGlider:function(t){var e=this.board.select(t);if(!l.exists(e))throw new Error("JSXGraph: slide object undefined.");if(e.type===n.OBJECT_TYPE_TICKS)throw new Error("JSXGraph: gliders on ticks are not possible.");return this.slideObject=this.board.select(t),this.slideObjects.push(this.slideObject),this.type=n.OBJECT_TYPE_GLIDER,this.elType="glider",this.visProp.snapwidth=-1,this.slideObject.addChild(this),this.isDraggable=!0,this.generatePolynomial=function(){return this.slideObject.generatePolynomial(this)},this.updateGlider(),this.needsUpdateFromParent=!0,this.updateGliderFromParent(),this},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 parents[0]+"' and '"+typeof parents[1]+"'.")}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()},popSlideObject:function(){this.slideObjects.length>0&&(this.slideObjects.pop(),this.slideObject.removeChild(this),0===this.slideObjects.length?(this.elType="point",this.type=n.OBJECT_TYPE_POINT,this.slideObject=null):this.slideObject=this.slideObjects[this.slideObjects.length-1])},free:function(){var t,e;if(this.type!==n.OBJECT_TYPE_GLIDER){if(this.transformations.length=0,this.isDraggable)return;this.isDraggable=!0,this.type=n.OBJECT_TYPE_POINT,this.XEval=function(){return this.coords.usrCoords[1]},this.YEval=function(){return this.coords.usrCoords[2]},this.ZEval=function(){return this.coords.usrCoords[0]},this.Xjc=null,this.Yjc=null}for(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.elType="point",this.type=n.OBJECT_TYPE_POINT},addConstraint:function(t){var e,i,r=[],s=["X","Y"],o=function(t){return function(){return t}},a=function(t){return function(){return t.Value()}};for(this.type=n.OBJECT_TYPE_CAS,this.isDraggable=!1,e=0;e<t.length;e++)i=t[e],"string"==typeof i?(r[e]=this.board.jc.snippet(i,!0,null,!0),2===t.length&&(this[s[e]+"jc"]=t[e])):"function"==typeof i?r[e]=i:"number"==typeof i?r[e]=o(i):"object"==typeof i&&"function"==typeof i.Value&&(r[e]=a(i)),r[e].origin=i;return 1===t.length?this.updateConstraint=function(){var t=r[0]();l.isArray(t)?this.coords.setCoordinates(n.COORDS_BY_USER,t):this.coords=t}:2===t.length?(this.XEval=r[0],this.YEval=r[1],this.parents=[r[0].origin,r[1].origin],this.updateConstraint=function(){this.coords.setCoordinates(n.COORDS_BY_USER,[this.XEval(),this.YEval()])}):(this.ZEval=r[0],this.XEval=r[1],this.YEval=r[2],this.parents=[r[0].origin,r[1].origin,r[2].origin],this.updateConstraint=function(){this.coords.setCoordinates(n.COORDS_BY_USER,[this.ZEval(),this.XEval(),this.YEval()])}),this.prepareUpdate().update(),this.board.isSuspendedUpdate||this.updateRenderer(),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},addTransform:function(t,e){var i,r=l.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!==n.OBJECT_TYPE_GLIDER||l.exists(this.intervalCode)||(this.intervalCode=window.setInterval(function(){i._anim(t,e)},250),l.exists(this.intervalCount)||(this.intervalCount=0)),this},stopAnimation:function(){return l.exists(this.intervalCode)&&(window.clearInterval(this.intervalCode),delete this.intervalCode),this},moveAlong:function(t,e,i){i=i||{};var r,o,a=[],h=[],c=this.board.attr.animationdelay,d=e/c,u=function(e,i){return function(){return t[e][i]}};if(l.isArray(t)){for(r=0;r<t.length;r++)h[r]=l.isPoint(t[r])?t[r]:{elementClass:n.OBJECT_CLASS_POINT,X:u(r,0),Y:u(r,1)};if(e=e||0,0===e)return this.setPosition(n.COORDS_BY_USER,[h[h.length-1].X(),h[h.length-1].Y()]),this.board.update(this);if(!l.exists(i.interpolate)||i.interpolate)for(o=s.Neville(h),r=0;d>r;r++)a[r]=[],a[r][0]=o[0]((d-r)/d*o[3]()),a[r][1]=o[1]((d-r)/d*o[3]());else for(r=0;d>r;r++)a[r]=[],a[r][0]=t[Math.floor((d-r)/d*(t.length-1))][0],a[r][1]=t[Math.floor((d-r)/d*(t.length-1))][1];this.animationPath=a}else l.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 o(n.COORDS_BY_USER,t,this.board);var s,a=this.board.attr.animationdelay,h=Math.ceil(e/a),c=[],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(!l.exists(e)||0===e||Math.abs(t.usrCoords[0]-this.coords.usrCoords[0])>i.eps)return this.setPosition(n.COORDS_BY_USER,t.usrCoords),this.board.update(this);if(Math.abs(p)<i.eps&&Math.abs(f)<i.eps)return this;for(s=h;s>=0;s--)c[h-s]=[t.usrCoords[0],d+p*m(s),u+f*m(s)];return this.animationPath=c,this.animationCallback=r.callback,this.board.addAnimation(this),this},visit:function(t,e,i){t=new o(n.COORDS_BY_USER,t,this.board);var r,s,a,h=this.board.attr.animationdelay,c=[],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=a/2>t?2*t/a:2*(a-t)/a;return i.effect&&"<>"===i.effect?Math.pow(Math.sin(e*Math.PI/2),2):e};for("number"==typeof i?i={repeat:i}:(i=i||{},l.exists(i.repeat)||(i.repeat=1)),a=Math.ceil(e/(h*i.repeat)),s=0;s<i.repeat;s++)for(r=a;r>=0;r--)c[s*(a+1)+a-r]=[t.usrCoords[0],d+p*m(r),u+f*m(r)];return this.animationPath=c,this.animationCallback=i.callback,this.board.addAnimation(this),this},_anim:function(t,e){var i,s,o,a,h,l,c,d,u=1;return this.intervalCount+=1,this.intervalCount>e&&(this.intervalCount=0),this.slideObject.elementClass===n.OBJECT_CLASS_LINE?(i=this.slideObject.point1.coords.distance(n.COORDS_BY_SCREEN,this.slideObject.point2.coords),s=this.slideObject.getSlope(),1/0!==s?(h=Math.atan(s),o=Math.round(this.intervalCount/e*i*Math.cos(h)),a=Math.round(this.intervalCount/e*i*Math.sin(h))):(o=0,a=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=-1:0===this.slideObject.point2.coords.scrCoords[1]-this.slideObject.point1.coords.scrCoords[1]&&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=-1:0===this.slideObject.point1.coords.scrCoords[1]-this.slideObject.point2.coords.scrCoords[1]&&this.slideObject.point1.coords.scrCoords[2]-this.slideObject.point2.coords.scrCoords[2]>0&&(u=-1)),this.coords.setCoordinates(n.COORDS_BY_SCREEN,[l.coords.scrCoords[1]+u*o,l.coords.scrCoords[2]+u*a])):this.slideObject.elementClass===n.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(n.COORDS_BY_SCREEN,[c,0]),this.coords=r.projectPointToCurve(this,this.slideObject,this.board)):this.slideObject.elementClass===n.OBJECT_CLASS_CIRCLE&&(h=0>t?2*(this.intervalCount/e)*Math.PI:2*((e-this.intervalCount)/e)*Math.PI,d=this.slideObject.Radius(),this.coords.setCoordinates(n.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},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(t){return e.normalizePointFace(t)},remove:function(){this.hasLabel&&this.board.renderer.remove(this.board.renderer.getElementById(this.label.id)),this.board.renderer.remove(this.board.renderer.getElementById(this.id))},getTextAnchor:function(){return this.coords},getLabelAnchor:function(){return this.coords},face:function(t){this.setAttribute({face:t})},size:function(t){this.setAttribute({size:t})},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},getParents:function(){var t=[this.Z(),this.X(),this.Y()];return this.parents&&(t=this.parents),this.type===n.OBJECT_TYPE_GLIDER&&(t=[this.X(),this.Y(),this.slideObject.id]),t}}),t.createPoint=function(e,i,r){var s,o,n,a=!1;for(n=l.copyAttributes(r,e.options,"point"),1===i.length&&l.isArray(i[0])&&i[0].length>1&&i[0].length<4&&(i=i[0]),o=0;o<i.length;o++)("function"==typeof i[o]||"string"==typeof i[o])&&(a=!0);if(a)s=new t.Point(e,[0/0,0/0],n),s.addConstraint(i);else if(l.isNumber(i[0])&&l.isNumber(i[1]))s=new t.Point(e,i,n),l.exists(n.slideobject)?s.makeGlider(n.slideobject):s.baseElement=s,s.isDraggable=!0;else{if("object"!=typeof i[0]||"object"!=typeof i[1])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], [point,transformation]");s=new t.Point(e,[0,0],n),s.addTransform(i[0],i[1]),s.isDraggable=!1,s.parents=[i[0].id]}return s.handleSnapToGrid(),s.handleSnapToPoints(),s.handleAttractors(),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.parents=[o.id,a.id,c,d],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.parents=[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.parents=[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("utils/expect",["jxg","utils/type","base/constants","base/coords","base/point"],function(t,e,i,r){var s={each:function(t,e,i){var r,s=[];for(r=0;r<t.length;r++)s.push(e.call(this,t[r],i));return s},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){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)?!0:!1):!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("utils/zip",["jxg"],function(t){var e=[0,128,64,192,32,160,96,224,16,144,80,208,48,176,112,240,8,136,72,200,40,168,104,232,24,152,88,216,56,184,120,248,4,132,68,196,36,164,100,228,20,148,84,212,52,180,116,244,12,140,76,204,44,172,108,236,28,156,92,220,60,188,124,252,2,130,66,194,34,162,98,226,18,146,82,210,50,178,114,242,10,138,74,202,42,170,106,234,26,154,90,218,58,186,122,250,6,134,70,198,38,166,102,230,22,150,86,214,54,182,118,246,14,142,78,206,46,174,110,238,30,158,94,222,62,190,126,254,1,129,65,193,33,161,97,225,17,145,81,209,49,177,113,241,9,137,73,201,41,169,105,233,25,153,89,217,57,185,121,249,5,133,69,197,37,165,101,229,21,149,85,213,53,181,117,245,13,141,77,205,45,173,109,237,29,157,93,221,61,189,125,253,3,131,67,195,35,163,99,227,19,147,83,211,51,179,115,243,11,139,75,203,43,171,107,235,27,155,91,219,59,187,123,251,7,135,71,199,39,167,103,231,23,151,87,215,55,183,119,247,15,143,79,207,47,175,111,239,31,159,95,223,63,191,127,255],i=[3,4,5,6,7,8,9,10,11,13,15,17,19,23,27,31,35,43,51,59,67,83,99,115,131,163,195,227,258,0,0],r=[0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,0,99,99],s=[1,2,3,4,5,7,9,13,17,25,33,49,65,97,129,193,257,385,513,769,1025,1537,2049,3073,4097,6145,8193,12289,16385,24577],o=[0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13],n=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15],a=256;return 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=128|Y>>1),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){E++,N[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 b(){for(;;){if(J[G]>=w)return-1;if(O[J[G]]===G)return J[G]++;J[G]++}}function g(){var t,e=U[X];if(17===G)return-1;if(X++,G++,t=b(),t>=0)e.b0=t;else if(e.b0=32768,g())return-1;if(t=b(),t>=0)e.b1=t,e.jump=null;else if(e.b1=32768,e.jump=U[X],e.jumppos=X,g())return-1;return G--,0}function v(t,e,i){var r;for(U=t,X=0,O=i,w=e,r=0;17>r;r++)J[r]=0;return G=0,g()?-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 o.b0;s++,o=t[s]}}function C(){var a,h,b,g,C,P,_,E,S,O,w,x,T,A,M,R,L;do if(a=d(),b=u(2),0===b)for(c(),O=l(),O|=l()<<8,x=l(),x|=l()<<8,65535&(O^~x)&&t.debug("BlockLen checksum mismatch\n");O--;)h=l(),f(h);else if(1===b)for(;;)if(C=e[u(7)]>>1,C>23?(C=C<<1|d(),C>199?(C-=128,C=C<<1|d()):(C-=48,C>143&&(C+=136))):C+=256,256>C)f(C);else{if(256===C)break;for(C-=257,S=u(r[C])+i[C],C=e[u(5)]>>3,o[C]>8?(w=u(8),w|=u(o[C]-8)<<8):w=u(o[C]),w+=s[C],C=0;S>C;C++)h=N[32767&k-w],f(h)}else if(2===b){for(_=new Array(320),A=257+u(5),M=1+u(5),R=4+u(4),C=0;19>C;C++)_[C]=0;for(C=0;R>C;C++)_[n[C]]=u(3);for(S=I.length,g=0;S>g;g++)I[g]=new m;if(v(I,19,_,0))return p(),1;for(T=A+M,g=0,L=-1;T>g;)if(L++,C=y(I),16>C)_[g++]=C;else if(16===C){if(C=3+u(2),g+C>T)return p(),1;for(P=g?_[g-1]:0;C--;)_[g++]=P}else{if(C=17===C?3+u(3):11+u(7),g+C>T)return p(),1;for(;C--;)_[g++]=0}for(S=D.length,g=0;S>g;g++)D[g]=new m;if(v(D,A,_,0))return p(),1;for(S=D.length,g=0;S>g;g++)I[g]=new m;for(E=[],g=A;g<_.length;g++)E[g-A]=_[g];if(v(I,M,E,0))return p(),1;for(;;)if(C=y(D),C>=256){if(C-=256,0===C)break;for(C-=1,S=u(r[C])+i[C],C=y(I),o[C]>8?(w=u(8),w|=u(o[C]-8)<<8):w=u(o[C]),w+=s[C];S--;)h=N[32767&k-w],f(h)}else f(C)}while(!a);return p(),c(),0}function P(){var t,e,i,r,s,o,n,h,c=[];try{if(T=[],R=!1,c[0]=l(),c[1]=l(),120===c[0]&&218===c[1]&&(C(),M[A]=[T.join(""),"geonext.gxt"],A++),31===c[0]&&139===c[1]&&(x(),M[A]=[T.join(""),"file"],A++),80===c[0]&&75===c[1]&&(R=!0,c[2]=l(),c[3]=l(),3===c[2]&&4===c[3])){for(c[0]=l(),c[1]=l(),_=l(),_|=l()<<8,h=l(),h|=l()<<8,l(),l(),l(),l(),n=l(),n|=l()<<8,n|=l()<<16,n|=l()<<24,o=l(),o|=l()<<8,o|=l()<<16,o|=l()<<24,s=l(),s|=l()<<8,s|=l()<<16,s|=l()<<24,r=l(),r|=l()<<8,i=l(),i|=l()<<8,t=0,F=[];r--;)e=l(),"/"===e|":"===e?t=0:a-1>t&&(F[t++]=String.fromCharCode(e));for(S||(S=F),t=0;i>t;)e=l(),t++;E=0,8===h&&(C(),M[A]=new Array(2),M[A][0]=T.join(""),M[A][1]=F.join(""),A++),x()}}catch(d){throw d}}var _,E,S,O,w,x,T=[],A=0,M=[],N=new 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,U=null,G=(new Array(64),new Array(64),0),J=new Array(17),F=[];J[0]=0,x=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(),G=n[0]+256*n[1],s=0;G>s;s++)l();if(8&_)for(s=0,F=[],o=l();o;)("7"===o||":"===o)&&(s=0),a-1>s&&(F[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){var e=0,i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,3,3,3,3,3,3,3,3,3,3,3,3,4,3,3,11,6,6,6,5,8,8,8,8,8,8,8,8,8,8,8,0,12,24,36,60,96,84,12,12,12,48,72,12,12,12,12,12,12,12,12,12,12,12,12,12,0,12,12,12,12,12,0,12,0,12,12,12,24,12,12,12,12,12,24,12,24,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,36,12,12,12,12,12,36,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12];return t.Util=t.Util||{},t.Util.UTF8={encode:function(t){var e,i,r="",s=t.length;if(t=t.replace(/\r\n/g,"\n"),"function"==typeof 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(192|i>>6),r+=String.fromCharCode(128|63&i)):(r+=String.fromCharCode(224|i>>12),r+=String.fromCharCode(128|63&i>>6),r+=String.fromCharCode(128|63&i));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++,0===n%1e4&&(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){function i(t,e){return 255&t.charCodeAt(e)}function r(t,e){var i=s.indexOf(t.charAt(e));if(-1===i)throw new Error("JSXGraph/utils/base64: Can't decode string (invalid character).");return i}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(63&n>>12),s.charAt(63&n>>6),s.charAt(63&n));switch(h){case 1:n=i(l,a-1),c.push(s.charAt(n>>2),s.charAt(63&n<<4),o,o);break;case 2:n=i(l,a-2)<<8|i(l,a-1),c.push(s.charAt(n>>10),s.charAt(63&n>>4),s.charAt(63&n<<2),o)}return c.join("")},decode:function(t,i){var s,n,a,h,l,c,d=[],u=[];if(s=t.replace(/[^A-Za-z0-9\+\/=]/g,""),a=s.length,0!==a%4)throw new Error("JSXGraph/utils/base64: Can't decode string (invalid input length).");for(s.charAt(a-1)===o&&(h=1,s.charAt(a-2)===o&&(h=2),a-=4),n=0;a>n;n+=4)l=r(s,n)<<18|r(s,n+1)<<12|r(s,n+2)<<6|r(s,n+3),u.push(l>>16,255&l>>8,255&l),0===n%1e4&&(d.push(String.fromCharCode.apply(null,u)),u=[]);switch(h){case 1:l=r(s,a)<<12|r(s,a+1)<<6|r(s,a+2),u.push(l>>10,255&l>>2);break;case 2:l=r(s,n)<<6|r(s,n+1),u.push(l>>4)}return d.push(String.fromCharCode.apply(null,u)),c=d.join(""),i&&(c=e.decode(c)),c},decodeAsArray:function(t){var e,i=this.decode(t),r=[],s=i.length;for(e=0;s>e;e++)r[e]=i.charCodeAt(e);return r}},t.Util.Base64}),define("server/server",["jxg","utils/zip","utils/base64","utils/type"],function(t,e,i,r){return 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 Function(h)();for(d=0;d<n.handler.length;d++){for(a=n.handler[d],l=[],u=0;u<a.parameters.length;u++)l[u]='"'+a.parameters[u]+'": '+a.parameters[u];h="if(typeof JXG.Server.modules."+this.runningCalls[c].module+' == "undefined")'+"JXG.Server.modules."+this.runningCalls[c].module+" = {};",h+="JXG.Server.modules."+this.runningCalls[c].module+"."+a.name+"_cb = "+a.callback+";",h+="JXG.Server.modules."+this.runningCalls[c].module+"."+a.name+" = function ("+a.parameters.join(",")+", __JXGSERVER_CB__, __JXGSERVER_SYNC) {"+'if(typeof __JXGSERVER_CB__ == "undefined") __JXGSERVER_CB__ = JXG.Server.modules.'+this.runningCalls[c].module+"."+a.name+"_cb;"+"var __JXGSERVER_PAR__ = {"+l.join(",")+', "module": "'+this.runningCalls[c].module+'", "handler": "'+a.name+'" };'+'JXG.Server.callServer("exec", __JXGSERVER_CB__, __JXGSERVER_PAR__, __JXGSERVER_SYNC);'+"};",new Function(h)()}delete this.runningCalls[c],o(n.data)}},this.cb=t.bind(this.cbp,this),window.XMLHttpRequest?(c=new 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",["jxg","base/constants","base/coords","math/math","math/geometry","server/server","utils/type"],function(t,e,i,r,s,o,n){var a;return r.Symbolic={generateSymbolicCoordinatesPartial:function(t,e,i,r){var s,o,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(o in h)if(h.hasOwnProperty(o)&&(s=0,n.isPoint(h[o]))){for(a in h[o].ancestors)h[o].ancestors.hasOwnProperty(a)&&s++;0===s?(h[o].symbolic.x=h[o].coords.usrCoords[1],h[o].symbolic.y=h[o].coords.usrCoords[2],t.listOfFreePoints.push(h[o])):(l+=1,h[o].symbolic.x=c(l),l+=1,h[o].symbolic.y=c(l),t.listOfDependantPoints.push(h[o]))}return n.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++)n.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,o,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=[],n.isPoint(h[r]))){for(s in h[r].ancestors)h[r].ancestors.hasOwnProperty(s)&&a++;if(a>0)for(l=h[r].generatePolynomial(),o=0;o<l.length;o++)c.push(l[o])}return i&&this.clearSymbolicCoordinates(t),c},geometricLocusByGroebnerBase:function(t,h){var l,c,d,u,p,f,m,b,g,v,y,C,P,_=t.options.locus,E={},S=this.generateSymbolicCoordinatesPartial(t,h,"u","brace"),O=new i(e.COORDS_BY_USR,[0,0],t),w=new i(e.COORDS_BY_USR,[t.canvasWidth,t.canvasHeight],t),x=1,T=0,A=0,M=0;if(o.modules.geoloci===a&&o.loadModule("geoloci"),o.modules.geoloci===a)throw new Error("JSXGraph: Unable to load JXG.Server module 'geoloci.py'.");if(m=O.usrCoords[1],b=w.usrCoords[1],g=w.usrCoords[2],v=O.usrCoords[2],_.translateToOrigin&&t.listOfFreePoints.length>0){for(u=_.toOrigin!==a&&null!==_.toOrigin&&n.isInArray(t.listOfFreePoints,_.toOrigin.id)?_.toOrigin:t.listOfFreePoints[0],T=u.symbolic.x,A=u.symbolic.y,f=0;f<t.listOfFreePoints.length;f++)t.listOfFreePoints[f].symbolic.x-=T,t.listOfFreePoints[f].symbolic.y-=A;if(m-=T,b-=T,g-=A,v-=A,_.translateTo10&&t.listOfFreePoints.length>1){for(p=_.to10!==a&&null!==_.to10&&_.to10.id!==_.toOrigin.id&&n.isInArray(t.listOfFreePoints,_.to10.id)?_.to10:t.listOfFreePoints[0].id===u.id?t.listOfFreePoints[1]:t.listOfFreePoints[0],M=s.rad([1,0],[0,0],[p.symbolic.x,p.symbolic.y]),y=Math.cos(-M),C=Math.sin(-M),f=0;f<t.listOfFreePoints.length;f++)P=t.listOfFreePoints[f].symbolic.x,t.listOfFreePoints[f].symbolic.x=y*t.listOfFreePoints[f].symbolic.x-C*t.listOfFreePoints[f].symbolic.y,t.listOfFreePoints[f].symbolic.y=C*P+y*t.listOfFreePoints[f].symbolic.y;if(p.symbolic.y=0,P=m,m=y*m-C*g,g=C*P+y*g,P=b,b=y*b-C*v,v=C*P+y*v,_.stretch&&Math.abs(p.symbolic.x)>r.eps){for(x=p.symbolic.x,f=0;f<t.listOfFreePoints.length;f++)t.listOfFreePoints[f].symbolic.x/=x,t.listOfFreePoints[f].symbolic.y/=x;for(f=0;f<t.objectsList.length;f++)t.objectsList[f].elementClass===e.OBJECT_CLASS_CIRCLE&&"pointRadius"===t.objectsList[f].method&&(E[f]=t.objectsList[f].radius,t.objectsList[f].radius/=x);m/=x,b/=x,g/=x,v/=x,p.symbolic.x=1}}for(f=0;f<t.listOfFreePoints.length;f++)P=t.listOfFreePoints[f].symbolic.x,Math.abs(P)<r.eps&&(t.listOfFreePoints[f].symbolic.x=0),Math.abs(P-Math.round(P))<r.eps&&(t.listOfFreePoints[f].symbolic.x=Math.round(P)),P=t.listOfFreePoints[f].symbolic.y,Math.abs(P)<r.eps&&(t.listOfFreePoints[f].symbolic.y=0),Math.abs(P-Math.round(P))<r.eps&&(t.listOfFreePoints[f].symbolic.y=Math.round(P))}l=this.generatePolynomials(t,h),c=l.join(","),this.cbp=function(t){d=t},this.cb=n.bind(this.cbp,this),o.modules.geoloci.lociCoCoA(m,b,g,v,S,c,x,M,T,A,this.cb,!0),this.clearSymbolicCoordinates(t);for(f in E)E.hasOwnProperty(f)&&(t.objects[f].radius=E[f]);return d}},r.Symbolic}),define("math/poly",["jxg","math/math","utils/type"],function(t,e,i){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)&&"string"==typeof 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","math/math"],function(t){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"number"==typeof t?this.real+=t:(this.real+=t.real,this.imaginary+=t.imaginary),this},sub:function(t){return"number"==typeof t?this.real-=t:(this.real-=t.real,this.imaginary-=t.imaginary),this},mult:function(t){var e,i;return"number"==typeof t?(this.real*=t,this.imaginary*=t):(e=this.real,i=this.imaginary,this.real=e*t.real-i*t.imaginary,this.imaginary=e*t.imaginary+i*t.real),this},div:function(t){var e,i,r;if("number"==typeof 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;e=t.real*t.real+t.imaginary*t.imaginary,r=this.real,i=this.imaginary,this.real=(r*t.real+i*t.imaginary)/e,this.imaginary=(i*t.real-r*t.imaginary)/e}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("renderer/abstract",["jxg","options","base/coords","base/constants","math/math","math/geometry","utils/type","utils/env"],function(t,e,i,r,s,o,n,a){return t.AbstractRenderer=function(){this.vOffsetText=0,this.enhancedRendering=!0,this.container=null,this.type=""},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;(t.visProp.firstarrow||t.visProp.lastarrow)&&(m=-4),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(){},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(){},drawInternalText:function(){},updateInternalText:function(){},drawText:function(t){var e,i;"html"===t.visProp.display&&a.isBrowser?(e=this.container.ownerDocument.createElement("div"),e.style.position="absolute",e.className=t.visProp.cssclass,i=""===this.container.style.zIndex?0:parseInt(this.container.style.zIndex,10),e.style.zIndex=i+t.board.options.layer.text,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=t.plaintext;t.visProp.visible&&(this.updateTextStyle(t,!1),"html"===t.visProp.display?(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!==r&&(t.rendNode.innerHTML=r,t.htmlStr=r,t.visProp.usemathjax?MathJax.Hub.Queue(["Typeset",MathJax.Hub,t.rendNode]):t.visProp.useasciimathml&&AMprocessNode(t.rendNode,!1)),this.transformImage(t,t.transformations)):this.updateInternalText(t))},updateTextStyle:function(t,e){var i,r,s,o,h=t.visProp,l=a.isBrowser?h.display:"internal";if(e?(s=h.highlightstrokecolor,r=h.highlightstrokeopacity,o=h.highlightcssclass):(s=h.strokecolor,r=h.strokeopacity,o=h.cssclass),("html"===l||"canvas"!==this.type&&"no"!==this.type)&&(i=n.evaluate(t.visProp.fontsize),t.visPropOld.fontsize!==i)){t.needsSizeUpdate=!0;try{t.rendNode.style.fontSize=i+"px"}catch(c){t.rendNode.style.fontSize=i}t.visPropOld.fontsize=i}return"html"===l?(t.visPropOld.cssclass!==o&&(t.rendNode.className=o,t.visPropOld.cssclass=o,t.needsSizeUpdate=!0),this.setObjectStrokeColor(t,s,r)):this.updateInternalTextStyle(t,s,r),this},updateInternalTextStyle:function(t,e,i){this.setObjectStrokeColor(t,e,i)},drawImage:function(){},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(){},updateImageURL:function(){},updateImageStyle:function(t,e){t.rendNode.className=e?t.visProp.highlightcssclass:t.visProp.cssclass},appendChildPrim:function(){},appendNodesToElement:function(){},createPrim:function(){return null},remove:function(){},makeArrows:function(){},updateEllipsePrim:function(){},updateLinePrim:function(){},updatePathPrim:function(){},updatePathStringPoint:function(){},updatePathStringPrim:function(){},updatePathStringBezierPrim:function(){},updatePolygonPrim:function(){},updateRectPrim:function(){},setPropertyPrim:function(){},show:function(){},hide:function(){},setBuffering:function(){},setDashStyle:function(){},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(){},updateGradient:function(){},setObjectFillColor:function(){},setObjectStrokeColor:function(){},setObjectStrokeWidth:function(){},setShadow:function(){},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.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.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 n;n=e.createElement("span"),i.appendChild(n),n.appendChild(e.createTextNode(s)),a.addEvent(n,"mouseover",function(){this.style.backgroundColor=t.options.navbar.highlightFillColor},n),a.addEvent(n,"mouseover",function(){this.style.backgroundColor=t.options.navbar.highlightFillColor},n),a.addEvent(n,"mouseout",function(){this.style.backgroundColor=t.options.navbar.fillColor},n),a.addEvent(n,"click",o,t),a.addEvent(n,"mouseup",r,t),a.addEvent(n,"mousedown",r,t),a.addEvent(n,"touchend",r,t),a.addEvent(n,"touchstart",r,t)};a.isBrowser&&(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(){},createTouchpoints:function(){},showTouchpoint:function(){},hideTouchpoint:function(){},updateTouchpoint:function(){}}),t.AbstractRenderer}),define("renderer/no",["jxg","renderer/abstract"],function(t,e){return t.NoRenderer=function(){this.enhancedRendering=!1,this.type="no"},t.extend(t.NoRenderer.prototype,{drawPoint:function(){},updatePoint:function(){},changePointStyle:function(){},drawLine:function(){},updateLine:function(){},drawTicks:function(){},updateTicks:function(){},drawCurve:function(){},updateCurve:function(){},drawEllipse:function(){},updateEllipse:function(){},drawPolygon:function(){},updatePolygon:function(){},displayCopyright:function(){},drawInternalText:function(){},updateInternalText:function(){},drawText:function(){},updateText:function(){},updateTextStyle:function(){},updateInternalTextStyle:function(){},drawImage:function(){},updateImage:function(){},transformImage:function(){},updateImageURL:function(){},appendChildPrim:function(){},appendNodesToElement:function(){},createPrim:function(){return null},remove:function(){},makeArrows:function(){},updateEllipsePrim:function(){},updateLinePrim:function(){},updatePathPrim:function(){},updatePathStringPoint:function(){},updatePathStringPrim:function(){},updatePathStringBezierPrim:function(){},updatePolygonPrim:function(){},updateRectPrim:function(){},setPropertyPrim:function(){},show:function(){},hide:function(){},setBuffering:function(){},setDashStyle:function(){},setDraft:function(){},removeDraft:function(){},setGradient:function(){},updateGradient:function(){},setObjectFillColor:function(){},setObjectStrokeColor:function(){},setObjectStrokeWidth:function(){},setShadow:function(){},highlight:function(){},noHighlight:function(){},suspendRedraw:function(){},unsuspendRedraw:function(){},drawZoomBar:function(){},getElementById:function(){return null},resize:function(){},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){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 t.debug("AJAX not activated!"),void 0;l.open("GET",e,a),this.cbp="raw"===n.toLowerCase()?function(){var t=l;4===t.readyState&&o(t.responseText)}: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(),"function"==typeof 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("base/text",["jxg","base/constants","base/coords","base/element","parser/geonext","math/statistics","utils/env","utils/type","math/math"],function(t,e,i,r,s,o,n,a,h){var l={HTMLSliderInputEventHandler:function(){this._val=parseFloat(this.rendNodeRange.value),this.rendNodeOut.value=this.rendNodeRange.value,this.board.update()}};return t.Text=function(t,r,s,o){return this.constructor(t,o,e.OBJECT_TYPE_TEXT,e.OBJECT_CLASS_TEXT),this.content="",this.plaintext="",this.plaintextOld=null,this.orgText="",this.isDraggable=!1,this.needsSizeUpdate=!1,this.element=this.board.select(o.anchor),this.hiddenByParent=!1,this.group=[],this.element?(this.relativeCoords=this.visProp.islabel?new i(e.COORDS_BY_SCREEN,[parseFloat(s[0]),parseFloat(s[1])],this.board):new i(e.COORDS_BY_USER,[parseFloat(s[0]),parseFloat(s[1])],this.board),this.element.addChild(this),this.X=function(){var t,r,s;return this.visProp.islabel?(t=parseFloat(this.visProp.offset[0]),s=this.element.getLabelAnchor(),r=new i(e.COORDS_BY_SCREEN,[t+this.relativeCoords.scrCoords[1]+s.scrCoords[1],0],this.board),r.usrCoords[1]):(s=this.element.getTextAnchor(),this.relativeCoords.usrCoords[1]+s.usrCoords[1])},this.Y=function(){var t,r,s;return this.visProp.islabel?(t=-parseFloat(this.visProp.offset[1]),s=this.element.getLabelAnchor(),r=new i(e.COORDS_BY_SCREEN,[0,t+this.relativeCoords.scrCoords[2]+s.scrCoords[2]],this.board),r.usrCoords[2]):(s=this.element.getTextAnchor(),this.relativeCoords.usrCoords[2]+s.usrCoords[2])},this.coords=new i(e.COORDS_BY_SCREEN,[0,0],this.board),this.isDraggable=!0):(a.isNumber(s[0])&&a.isNumber(s[1])&&(this.isDraggable=!0),this.coords=new i(e.COORDS_BY_USER,s.slice(0,2),this.board),this.X=function(){return this.coords.usrCoords[1]},this.Y=function(){return this.coords.usrCoords[2]}),this.Z=a.createFunction(1,this.board,""),this.size=[1,1],this.id=this.board.setId(this,"T"),this._setUpdateText(r),this.updateText(),this.board.renderer.drawText(this),this.visProp.visible||this.board.renderer.hide(this),"string"==typeof this.content&&this.notifyParents(this.content),this.elType="text",this.methodMap=a.deepCopy(this.methodMap,{setText:"setTextJessieCode",free:"free",move:"setCoords"}),this},t.Text.prototype=new r,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,"function"==typeof t?this.updateText=function(){this.plaintext=this.visProp.parse&&!this.visProp.usemathjax?this.replaceSub(this.replaceSup(this.convertGeonext2CSS(t()))):t()}:a.isString(t)&&!this.visProp.parse?this.updateText=function(){this.plaintext=t}:(this.content=a.isNumber(t)?t.toFixed(this.visProp.digits):this.visProp.useasciimathml?"'`"+t+"`'":this.visProp.usemathjax?"'"+t+"'":this.generateTerm(t),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="function"==typeof 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;if(!n.isBrowser||"no"===this.board.renderer.type)return this;if("html"===this.visProp.display||"vml"===this.board.renderer.type)t.exists(this.rendNode.offsetWidth)?(i=[this.rendNode.offsetWidth,this.rendNode.offsetHeight],0===i[0]&&0===i[1]?(r=this,window.setTimeout(function(){r.size=[r.rendNode.offsetWidth,r.rendNode.offsetHeight]},0)):this.size=i):this.size=this.crudeSizeEstimate();else if("internal"===this.visProp.display)if("svg"===this.board.renderer.type)try{e=this.rendNode.getBBox(),this.size=[e.width,e.height]}catch(s){}else"canvas"===this.board.renderer.type&&(this.size=this.crudeSizeEstimate());return this},crudeSizeEstimate:function(){return[.45*parseFloat(this.visProp.fontsize)*this.plaintext.length,.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},free:function(){this.X=a.createFunction(this.X(),this.board,""),this.Y=a.createFunction(this.Y(),this.board,""),this.isDraggable=!0},update:function(){return this.needsUpdate?(this.visProp.frozen||this.updateCoords(),this.updateText(),"internal"===this.visProp.display&&(this.plaintext=this.utf8_decode(this.plaintext)),this.checkForSizeUpdate(),this.needsSizeUpdate&&this.updateSize(),this.updateTransform(),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))},updateCoords:function(){this.coords.setCoordinates(e.COORDS_BY_USER,[this.Z(),this.X(),this.Y()])},updateRenderer:function(){return this.needsUpdate&&(this.board.renderer.updateText(this),this.needsUpdate=!1),this},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},generateTerm:function(t){var e,i,r,o,n='""';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>"),r=t.indexOf("<value>"),o=t.indexOf("</value>"),r>=0)for(;r>=0;)n+=' + "'+this.replaceSub(this.replaceSup(t.slice(0,r)))+'"',i=t.slice(r+7,o),e=s.geonext2JS(i,this.board),e=e.replace(/\\"/g,"'"),e=e.replace(/\\'/g,"'"),n+=e.indexOf("toFixed")<0?a.isNumber(a.bind(this.board.jc.snippet(e,!0,"",!1),this)())?"+("+e+").toFixed("+this.visProp.digits+")":"+("+e+")":"+("+e+")",t=t.slice(o+8),r=t.indexOf("<value>"),o=t.indexOf("</value>");return n+=' + "'+this.replaceSub(this.replaceSup(t))+'"',n=this.convertGeonext2CSS(n),n=n.replace(/&amp;/g,"&"),n=n.replace(/"/g,"'")},convertGeonext2CSS:function(t){return"string"==typeof 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},bounds:function(){var t=this.coords.usrCoords;return this.visProp.islabel?[0,0,0,0]:[t[1],t[2]+this.size[1],t[1]+this.size[0],t[2]]},setPositionDirectly:function(e,r,s){var n,a,h;if(a=new i(e,r,this.board),this.relativeCoords){if(!t.exists(s))return this;h=new i(e,s,this.board),this.visProp.islabel?(n=o.subtract(a.scrCoords,h.scrCoords),this.relativeCoords.scrCoords[1]+=n[1],this.relativeCoords.scrCoords[2]+=n[2]):(n=o.subtract(a.usrCoords,h.usrCoords),this.relativeCoords.usrCoords[1]+=n[1],this.relativeCoords.usrCoords[2]+=n[2])}else this.coords.setCoordinates(e,r),this.visProp.snaptogrid&&this.snapToGrid();return this},snapToGrid:function(){return this.handleSnapToGrid()}}),t.createText=function(e,i,r){var s,o=a.copyAttributes(r,e.options,"text");return o.anchor=o.parent||o.anchor,s=new t.Text(e,i[i.length-1],i,o),"function"!=typeof i[i.length-1]&&(s.parents=i),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",l.HTMLSliderInputEventHandler,s):n.addEvent(s.rendNodeForm,"input",l.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){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=0|33554432+16777216*Math.random()),t=15&s,s>>=4,r[e]=i[19===e?8|3&t: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){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.$log=[],this.builtIn=this.defineBuiltIn(),this.board=null,this.lineToElement={},this.parCurLine=1,this.parCurColumn=0,this.line=1,this.col=1,this.code="","string"==typeof t&&this.parse(t,e)},JXG.extend(JXG.JessieCode.prototype,{node:function(t,e,i){return{type:t,value:e,children:i}},createNode:function(t,e){var i,r=this.node(t,e,[]);for(i=2;i<arguments.length;i++)r.children.push(arguments[i]);return r.line=this.parCurLine,r.col=this.parCurColumn,r},pushScope:function(t){var e={args:t,locals:{},context:null,previous:this.scope};return this.scope.hasChild=!0,this.scope=e,e.id=this.scopes.push(e)-1,e},popScope:function(){var t=this.scope.previous;return this.scope=null!==t?t:this.scope,this.scope},getElementById:function(t){return this.board.objects[t]},log:function(){this.$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,r;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)?r: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+") {\n"+"var $oldscope$ = $jc$.scope;\n"+"$jc$.scope = $jc$.scopes["+this.scope.id+"];\n"+"var r = (function () "+i+this.compile(t.children[1],!0)+r+")();\n"+"$jc$.scope = $oldscope$;\n"+"return r;\n"+"}"
},defineFunction:function(node){var fun,i,bo="",bc="",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($jc$,list){var fun,p=list.join(", "),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,list),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(){var t,e={};for(t=0;t<arguments.length;t++)e=Type.deepCopy(e,arguments[t],!0);return e},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.setProperty(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)}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]),"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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35:this.$=i.createNode(r(h[l-2]),"node_op","op_approx",a[l-2],a[l]),this.$.isMath=!1;break;case 36:this.$=a[l];break;case 37:this.$=i.createNode(r(h[l-2]),"node_op","op_lot",a[l-2],a[l]),this.$.isMath=!1;break;case 38:this.$=i.createNode(r(h[l-2]),"node_op","op_grt",a[l-2],a[l]),this.$.isMath=!1;break;case 39:this.$=i.createNode(r(h[l-2]),"node_op","op_loe",a[l-2],a[l]),this.$.isMath=!1;break;case 40:this.$=i.createNode(r(h[l-2]),"node_op","op_gre",a[l-2],a[l]),this.$.isMath=!1;break;case 41:this.$=a[l];break;case 42:this.$=i.createNode(r(h[l-2]),"node_op","op_add",a[l-2],a[l]),this.$.isMath=!0;break;case 43:this.$=i.createNode(r(h[l-2]),"node_op","op_sub",a[l-2],a[l]),this.$.isMath=!0;break;case 44:this.$=a[l];break;case 45:this.$=i.createNode(r(h[l-2]),"node_op","op_mul",a[l-2],a[l]),this.$.isMath=!0;break;case 46:this.$=i.createNode(r(h[l-2]),"node_op","op_div",a[l-2],a[l]),this.$.isMath=!0;break;case 47:this.$=i.createNode(r(h[l-2]),"node_op","op_mod",a[l-2],a[l]),this.$.isMath=!0;break;case 48:this.$=a[l];break;case 49:this.$=i.createNode(r(h[l-2]),"node_op","op_exp",a[l-2],a[l]),this.$.isMath=!0;break;case 50:this.$=a[l];break;case 51:this.$=i.createNode(r(h[l-1]),"node_op","op_not",a[l]),this.$.isMath=!1;break;case 52:this.$=a[l];break;case 53:this.$=i.createNode(r(h[l-1]),"node_op","op_neg",a[l]),this.$.isMath=!0;break;case 54:this.$=a[l];break;case 55:this.$=a[l];break;case 56:this.$=a[l];break;case 57:this.$=a[l],this.$.isMath=!1;break;case 58:this.$=a[l];break;case 59:this.$=i.createNode(r(h[l-2]),"node_op","op_property",a[l-2],a[l]),this.$.isMath=!0;break;case 60:this.$=i.createNode(r(h[l-3]),"node_op","op_extvalue",a[l-3],a[l-1]),this.$.isMath=!0;break;case 61:this.$=i.createNode(r(h[l]),"node_var",a[l]);break;case 62:this.$=a[l];break;case 63:this.$=a[l],this.$.isMath=!1;break;case 64:this.$=a[l],this.$.isMath=!1;break;case 65:this.$=a[l-1];break;case 66:this.$=a[l],this.$.isMath=!1;break;case 67:this.$=a[l],this.$.isMath=!1;break;case 68:this.$=a[l],this.$.isMath=!1;break;case 69:this.$=a[l],this.$.isMath=!0;break;case 70:this.$=i.createNode(r(h[l]),"node_const",null);break;case 71:this.$=i.createNode(r(h[l]),"node_const_bool",!0);break;case 72:this.$=i.createNode(r(h[l]),"node_const_bool",!1);break;case 73:this.$=i.createNode(r(h[l]),"node_str",a[l].substring(1,a[l].length-1));break;case 74:this.$=i.createNode(r(h[l]),"node_const",parseFloat(a[l]));break;case 75:this.$=i.createNode(r(h[l]),"node_const",0/0);break;case 76:this.$=i.createNode(r(h[l]),"node_const",1/0);break;case 77:this.$=i.createNode(r(h[l-1]),"node_op","op_array",[]);break;case 78:this.$=i.createNode(r(h[l-2]),"node_op","op_array",a[l-1]);break;case 79:this.$=i.createNode(r(h[l-1]),"node_op","op_emptyobject",{});break;case 80:this.$=i.createNode(r(h[l-2]),"node_op","op_proplst_val",a[l-1]);break;case 81:this.$=a[l];break;case 82:this.$=i.createNode(r(h[l-2]),"node_op","op_proplst",a[l-2],a[l]);break;case 83:this.$=i.createNode(r(h[l-2]),"node_op","op_prop",a[l-2],a[l]);break;case 84:this.$=a[l];break;case 85:this.$=a[l];break;case 86:this.$=a[l];break;case 87:this.$=i.createNode(r(h[l-1]),"node_op","op_execfun",a[l-1],a[l]),this.$.isMath=!0;break;case 88:this.$=i.createNode(r(h[l-2]),"node_op","op_execfun",a[l-2],a[l-1],a[l],!0),this.$.isMath=!1;break;case 89:this.$=i.createNode(r(h[l-1]),"node_op","op_execfun",a[l-1],a[l]),this.$.isMath=!0;break;case 90:this.$=i.createNode(r(h[l-3]),"node_op","op_extvalue",a[l-3],a[l-1]),this.$.isMath=!0;break;case 91:this.$=i.createNode(r(h[l-2]),"node_op","op_property",a[l-2],a[l]),this.$.isMath=!0;break;case 92:this.$=[];break;case 93:this.$=a[l-1];break;case 94:this.$=[a[l]];break;case 95:this.$=a[l-2].concat(a[l]);break;case 96:this.$=i.createNode(r(h[l]),"node_var",a[l]),this.$.isMath=!0;break;case 97:this.$=a[l],this.$.isMath=!1;break;case 98:this.$=[a[l]];break;case 99:this.$=a[l-2].concat(a[l]);break;case 100:this.$=i.createNode(r(h[l-3]),"node_op","op_function",[],a[l]),this.$.isMath=!1;break;case 101:this.$=i.createNode(r(h[l-4]),"node_op","op_function",a[l-2],a[l]),this.$.isMath=!1;break;case 102:this.$=i.createNode(r(h[l-5]),"node_op","op_map",a[l-3],a[l]);break;case 103:this.$=[a[l]];break;case 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new Error(t);
this.trace(t)},parse:function(t){function e(){var t;return t=i.lexer.lex()||u,"number"!=typeof t&&(t=i.symbols_[t]||t),t}var i=this,r=[0],s=[null],o=[],n=this.table,a="",h=0,l=0,c=0,d=2,u=1,p=o.slice.call(arguments,1);this.lexer.setInput(t),this.lexer.yy=this.yy,this.yy.lexer=this.lexer,this.yy.parser=this,"undefined"==typeof this.lexer.yylloc&&(this.lexer.yylloc={});var f=this.lexer.yylloc;o.push(f);var m=this.lexer.options&&this.lexer.options.ranges;this.parseError="function"==typeof this.yy.parseError?this.yy.parseError:Object.getPrototypeOf(this).parseError;for(var b,g,v,y,C,P,_,E,S,O={};;){if(v=r[r.length-1],this.defaultActions[v]?y=this.defaultActions[v]:((null===b||"undefined"==typeof b)&&(b=e()),y=n[v]&&n[v][b]),"undefined"==typeof y||!y.length||!y[0]){var w="";S=[];for(P in n[v])this.terminals_[P]&&P>d&&S.push("'"+this.terminals_[P]+"'");w=this.lexer.showPosition?"Parse error on line "+(h+1)+":\n"+this.lexer.showPosition()+"\nExpecting "+S.join(", ")+", got '"+(this.terminals_[b]||b)+"'":"Parse error on line "+(h+1)+": Unexpected "+(b==u?"end of input":"'"+(this.terminals_[b]||b)+"'"),this.parseError(w,{text:this.lexer.match,token:this.terminals_[b]||b,line:this.lexer.yylineno,loc:f,expected:S})}if(y[0]instanceof Array&&y.length>1)throw new Error("Parse Error: multiple actions possible at state: "+v+", token: "+b);switch(y[0]){case 1:r.push(b),s.push(this.lexer.yytext),o.push(this.lexer.yylloc),r.push(y[1]),b=null,g?(b=g,g=null):(l=this.lexer.yyleng,a=this.lexer.yytext,h=this.lexer.yylineno,f=this.lexer.yylloc,c>0&&c--);break;case 2:if(_=this.productions_[y[1]][1],O.$=s[s.length-_],O._$={first_line:o[o.length-(_||1)].first_line,last_line:o[o.length-1].last_line,first_column:o[o.length-(_||1)].first_column,last_column:o[o.length-1].last_column},m&&(O._$.range=[o[o.length-(_||1)].range[0],o[o.length-1].range[1]]),C=this.performAction.apply(O,[a,l,h,this.yy,y[1],s,o].concat(p)),"undefined"!=typeof C)return C;_&&(r=r.slice(0,2*-1*_),s=s.slice(0,-1*_),o=o.slice(0,-1*_)),r.push(this.productions_[y[1]][0]),s.push(O.$),o.push(O._$),E=n[r[r.length-2]][r[r.length-1]],r.push(E);break;case 3:return!0}}return!0}},i={node:function(t,e,i){return{type:t,value:e,children:i}},createNode:function(t,e,i){var r,s=this.node(e,i,[]);for(r=3;r<arguments.length;r++)s.children.push(arguments[r]);return s.line=t[0],s.col=t[1],s.eline=t[2],s.ecol=t[3],s}},r=function(t){return[t.first_line,t.first_column,t.last_line,t.last_column]},s=function(){var t={EOF:1,parseError:function(t,e){if(!this.yy.parser)throw new Error(t);this.yy.parser.parseError(t,e)},setInput:function(t){return this._input=t,this._more=this._backtrack=this.done=!1,this.yylineno=this.yyleng=0,this.yytext=this.matched=this.match="",this.conditionStack=["INITIAL"],this.yylloc={first_line:1,first_column:0,last_line:1,last_column:0},this.options.ranges&&(this.yylloc.range=[0,0]),this.offset=0,this},input:function(){var t=this._input[0];this.yytext+=t,this.yyleng++,this.offset++,this.match+=t,this.matched+=t;var e=t.match(/(?:\r\n?|\n).*/g);return e?(this.yylineno++,this.yylloc.last_line++):this.yylloc.last_column++,this.options.ranges&&this.yylloc.range[1]++,this._input=this._input.slice(1),t},unput:function(t){var e=t.length,i=t.split(/(?:\r\n?|\n)/g);this._input=t+this._input,this.yytext=this.yytext.substr(0,this.yytext.length-e-1),this.offset-=e;var r=this.match.split(/(?:\r\n?|\n)/g);this.match=this.match.substr(0,this.match.length-1),this.matched=this.matched.substr(0,this.matched.length-1),i.length-1&&(this.yylineno-=i.length-1);var s=this.yylloc.range;return 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 e.lexer=s,t.prototype=e,e.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/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){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=function(){var t,e,r;return this.visProp.insertticks?(e=this.getLowerAndUpperBounds(this.getZeroCoordinates(),"ticksdistance"),r=e.upper-e.lower,t=Math.pow(10,Math.floor(Math.log(.6*r)/Math.LN10)),6*t>=r&&(t*=.5),t):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.board.setId(this,"Ti")},t.Ticks.prototype=new s,t.extend(t.Ticks.prototype,{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):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*e.eps,n=t.distance(r.COORDS_BY_USER,s);return this.line.type===r.OBJECT_TYPE_AXIS?(t.usrCoords[1]-s.usrCoords[1]>o||Math.abs(t.usrCoords[1]-s.usrCoords[1])<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,i,s=(this.line.point1,this.line.point2,this.getXandYdeltas()),o=this.equidistant?this.ticksFunction(1):this.ticksDelta;for(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,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,c=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)),l=a.upper-a.lower;h/(this.visProp.minorticks+1)<this.minTicksDistance;)t*=1==c?2:5,c*=-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=0===Math.round(e/i)%(this.visProp.minorticks+1),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))),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),"function"==typeof h.generatelabelvalue&&(o.generateLabelText=h.generatelabelvalue),"function"==typeof h.generatelabeltext&&(o.generateLabelText=h.generatelabeltext),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;c=t.create("ticks",[e[0],d],u),c.elType="hatch"},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("base/line",["jxg","math/math","math/geometry","math/numerics","math/statistics","base/constants","base/coords","base/element","utils/type","base/transformation","base/point","base/ticks"],function(t,e,i,r,s,o,n,a,h,l,c){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?!1:!0)},update:function(){var t;return this.needsUpdate?(this.constrained&&("function"==typeof this.funps?(t=this.funps(),t&&t.length&&2===t.length&&(this.point1=t[0],this.point2=t[1])):("function"==typeof 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)),"function"==typeof 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=0,l=0,c=new n(o.COORDS_BY_USER,this.point1.coords.usrCoords,this.board),d=new n(o.COORDS_BY_USER,this.point2.coords.usrCoords,this.board);if((this.visProp.straightfirst||this.visProp.straightlast)&&i.calcStraight(this,c,d,0),c=c.scrCoords,d=d.scrCoords,!h.exists(this.label))return new n(o.COORDS_BY_SCREEN,[0/0,0/0],this.board);switch(this.label.visProp.position){case"lft":case"llft":case"ulft":c[1]<=d[1]?(t=c[1],r=c[2]):(t=d[1],r=d[2]);break;case"rt":case"lrt":case"urt":c[1]>d[1]?(t=c[1],r=c[2]):(t=d[1],r=d[2]);break;default:t=.5*(c[1]+d[1]),r=.5*(c[2]+d[2])}return(this.visProp.straightfirst||this.visProp.straightlast)&&(h.exists(this.label)&&(a=parseFloat(this.label.visProp.offset[0]),l=parseFloat(this.label.visProp.offset[1]),s=this.label.visProp.fontsize),Math.abs(t)<e.eps?t=a:this.board.canvasWidth+e.eps>t&&t>this.board.canvasWidth-s-e.eps&&(t=this.board.canvasWidth-a-s),e.eps+s>r&&r>-e.eps?r=l+s:this.board.canvasHeight+e.eps>r&&r>this.board.canvasHeight-s-e.eps&&(r=this.board.canvasHeight-l)),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),this.point2.handleSnapToGrid(!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.snapToGrid(),this.point2.snapToGrid()),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,l,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("function"==typeof i[0]&&h.isPoint(i[0]()))n=i[0](),f=!0;else{if("function"!=typeof i[0]||!i[0]().length||2!==i[0]().length)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=c.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("function"==typeof i[1]&&h.isPoint(i[1]()))a=i[1](),f=!0;else{if("function"!=typeof i[1]||!i[1]().length||2!==i[1]().length)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=c.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.constrained||(o.parents=[n.id,a.id])}else if(3===i.length){for(u=!0,l=0;3>l;l++)if("number"==typeof i[l])p[l]=h.createFunction(i[l]);else{if("function"!=typeof i[l])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[l]=i[l],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,u&&(o.parents=[p[0](),p[1](),p[2]()])}else if(1===i.length&&"function"==typeof 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];else{if(1!==i.length||"function"!=typeof i[0]||3!==i[0]().length||"number"!=typeof i[0]()[0]||"number"!=typeof i[0]()[1]||"number"!=typeof 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]}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.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,f;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?(f=t.create("line",[a.point1,a.point2],s),f.glider=n):a.elementClass===o.OBJECT_CLASS_CURVE&&a.type!==o.OBJECT_TYPE_CONIC?"plot"!==a.visProp.curvetype?(l=a.X,c=a.Y,f=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(f),f.glider=n):(f=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(f),f.glider=n):a.type===o.OBJECT_TYPE_TURTLE?(f=t.create("line",[function(){var t=Math.floor(n.position);for(u=0;u<a.objects.length;u++)if(p=a.objects[u],p.type===o.OBJECT_TYPE_CURVE){if(t<p.numberPoints)break;t-=p.numberPoints}return t===p.numberPoints-1&&t--,0>t?1:p.Y(t)*p.X(t+1)-p.X(t)*p.Y(t+1)},function(){var t=Math.floor(n.position);for(u=0;u<a.objects.length;u++)if(p=a.objects[u],p.type===o.OBJECT_TYPE_CURVE){if(t<p.numberPoints)break;t-=p.numberPoints}return t===p.numberPoints-1&&t--,0>t?0:p.Y(t+1)-p.Y(t)},function(){var t=Math.floor(n.position);for(u=0;u<a.objects.length;u++)if(p=a.objects[u],p.type===o.OBJECT_TYPE_CURVE){if(t<p.numberPoints)break;t-=p.numberPoints}return t===p.numberPoints-1&&t--,0>t?0:p.X(t)-p.X(t+1)}],s),n.addChild(f),f.glider=n):(a.elementClass===o.OBJECT_CLASS_CIRCLE||a.type===o.OBJECT_TYPE_CONIC)&&(f=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(f),f.glider=n),!h.exists(f))throw new Error("JSXGraph: Couldn't create tangent with the given parents.");for(f.elType="tangent",f.type=o.OBJECT_TYPE_TANGENT,f.parents=[],d=0;d<i.length;d++)f.parents.push(i[d].id);return f},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.parents=[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","math/geometry","math/statistics","utils/type","base/transformation","base/point"],function(t,e,i,r,s,o,n,a){return t.Circle=function(t,e,i,s,o){this.constructor(t,o,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=a.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=a.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,o,n="";return"twoPoints"===this.method?(t=this.center.symbolic.x,e=this.center.symbolic.y,i=this.point2.symbolic.x,r=this.point2.symbolic.y,n="(("+i+")-("+t+"))^2 + (("+r+")-("+e+"))^2"):"pointRadius"===this.method?"number"==typeof this.radius&&(n=(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,o=this.line.point2.symbolic.y,n="(("+i+")-("+s+"))^2 + (("+r+")-("+o+"))^2"):"pointCircle"===this.method&&(n=this.circle.Radius()),n},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]=a.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){"string"==typeof t&&s.findDependencies(this,t,this.board)},setRadius:function(t){return this.updateRadius=a.createFunction(t,this.board,null,!0),this.board.update(),this},Radius:function(t){return a.exists(t)?(this.setRadius(t),this.Radius()):"twoPoints"===this.method?a.cmpArrays(this.point2.coords.usrCoords,[0,0,0])||a.cmpArrays(this.center.coords.usrCoords,[0,0,0])?0/0:this.center.Dist(this.point2):"pointLine"===this.method||"pointCircle"===this.method?this.radius:"pointRadius"===this.method?this.updateRadius():0/0},getRadius:function(){return 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:a.deepCopy(this.visProp,this.visProp.traceattributes,!0)};return i.visProp.layer=this.board.options.layer.trace,this.numTraces++,a.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=a.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(){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]}}),t.createCircle=function(e,i,s){var o,n,h,l,c=!0;for(n=[],h=0;h<i.length;h++)if(a.isPointType(i[h],e)){if(n=n.concat(a.providePoints(e,[i[h]],s,"circle",["center"])),n[n.length-1]===!1)throw new Error("JSXGraph: Can't create circle from this type. Please provide a point type.")}else n.push(i[h]);if(l=a.copyAttributes(s,e.options,"circle"),2===n.length&&a.isPoint(n[0])&&a.isPoint(n[1]))o=new t.Circle(e,"twoPoints",n[0],n[1],l);else if((a.isNumber(n[0])||a.isFunction(n[0])||a.isString(n[0]))&&a.isPoint(n[1]))o=new t.Circle(e,"pointRadius",n[1],n[0],l);else if((a.isNumber(n[1])||a.isFunction(n[1])||a.isString(n[1]))&&a.isPoint(n[0]))o=new t.Circle(e,"pointRadius",n[0],n[1],l);else if(n[0].elementClass===r.OBJECT_CLASS_CIRCLE&&a.isPoint(n[1]))o=new t.Circle(e,"pointCircle",n[1],n[0],l);else if(n[1].elementClass===r.OBJECT_CLASS_CIRCLE&&a.isPoint(n[0]))o=new t.Circle(e,"pointCircle",n[0],n[1],l);else if(n[0].elementClass===r.OBJECT_CLASS_LINE&&a.isPoint(n[1]))o=new t.Circle(e,"pointLine",n[1],n[0],l);else if(n[1].elementClass===r.OBJECT_CLASS_LINE&&a.isPoint(n[0]))o=new t.Circle(e,"pointLine",n[0],n[1],l);else{if(!(3===i.length&&a.isPoint(n[0])&&a.isPoint(n[1])&&a.isPoint(n[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).");o=t.elements.circumcircle(e,n,l)}for(o.isDraggable=c,o.parents=[],h=0;h<i.length;h++)i[h].id&&o.parents.push(i[h].id);return o.elType="circle",o},t.registerElement("circle",t.createCircle),{Circle:t.Circle,createCircle:t.createCircle}}),define("base/composition",["jxg","utils/type"],function(t,e){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){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,this.varname=l.exists(i[0])?i[0]:"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(),"string"==typeof this.xterm&&this.notifyParents(this.xterm),"string"==typeof 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])},Z:function(){return 1},hasPoint:function(t,r,o){var n,h,c,d,u,p,f,m,b,g,v,y,C=this.visProp.numberpointslow,P=(this.maxX()-this.minX())/C,_=this.board.options.precision.hasPoint/this.board.unitX,E=1/0,S=!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,S),b=this.Y(n,S),E=(t-m)*(t-m)+(r-b)*(r-b),_>E)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(g=[],3===this.bezierDegree?g.push(a.projectCoordsToBeziersegment([1,t,r],this,p)):y?(v[p].prev&&g.push(a.projectCoordsToSegment([1,t,r],v[p].prev.usrCoords,v[p].usrCoords)),v[p].next&&v[p+1]!==v[p].next&&g.push(a.projectCoordsToSegment([1,t,r],v[p].usrCoords,v[p].next.usrCoords))):g.push(a.projectCoordsToSegment([1,t,r],v[p].usrCoords,v[p+1].usrCoords)),f=0;f<g.length;f++)if(g[f][1]>=0&&g[f][1]<=1&&a.distance([1,t,r],g[f][0],3)<=_)return!0;return!1}return _>E},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.numberPoints=this.board.updateQuality===this.board.BOARD_QUALITY_HIGH?this.visProp.numberpointshigh: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(t,r){var o,n,a,h,l,c,d,u,p,f,m,b,g,v=!1,y=new i(e.COORDS_BY_USER,[0,0],this.board,!1),C=[],P=[],_=[],E=[],S=!1,O=0,w=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(this.board.updateQuality===this.board.BOARD_QUALITY_LOW?(m=15,b=10,g=10):(m=21,b=.7,g=.7),E[0]=r-t,o=1;m>o;o++)E[o]=.5*E[o-1];o=1,C[0]=1,P[0]=0,n=t,y.setCoordinates(e.COORDS_BY_USER,[this.X(n,v),this.Y(n,v)],!1),v=!0,d=y.scrCoords[1],u=y.scrCoords[2],a=n,n=r,y.setCoordinates(e.COORDS_BY_USER,[this.X(n,v),this.Y(n,v)],!1),l=y.scrCoords[1],c=y.scrCoords[2],_[0]=[l,c],p=1,f=0,this.points=[],this.points[O++]=new i(e.COORDS_BY_SCREEN,[d,u],this.board,!1);do{for(S=this.isDistOK(l-d,c-u,b,g)||this.isSegmentOutside(d,u,l,c);m>f&&(!S||6>f)&&(7>=f||this.isSegmentDefined(d,u,l,c));)C[p]=o,P[p]=f,_[p]=[l,c],p+=1,o=2*o-1,f++,n=t+o*E[f],y.setCoordinates(e.COORDS_BY_USER,[this.X(n,v),this.Y(n,v)],!1,!0),l=y.scrCoords[1],c=y.scrCoords[2],S=this.isDistOK(l-d,c-u,b,g)||this.isSegmentOutside(d,u,l,c);O>1&&(h=w(this.points[O-2].scrCoords,[l,c],this.points[O-1].scrCoords),.015>h&&(O-=1)),this.points[O]=new i(e.COORDS_BY_SCREEN,[l,c],this.board,!1),O+=1,d=l,u=c,a=n,p-=1,l=_[p][0],c=_[p][1],f=P[p]+1,o=2*C[p]}while(p>0&&5e5>O);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=20;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"))},_borderCase:function(t,r,s,o,n,a,h){var l,c,d,u,p,f=null,m=5,b=70,g=!1;if(h<this.smoothLevel){if(c=new i(e.COORDS_BY_USER,[0,0],this.board,!1),isNaN(t[1]+t[2])&&!isNaN(s[1]+s[2]+r[1]+r[2]))for(u=0;b>u;++u){p=0;do l=.5*(o+a),c.setCoordinates(e.COORDS_BY_USER,[this.X(l,!0),this.Y(l,!0)],!1),d=c.scrCoords,g=isNaN(d[1]+d[2]),g&&(o=l),++p;while(g&&m>p);if(!(m>p))break;a=l,f=d.slice()}else if(isNaN(r[1]+r[2])&&!isNaN(s[1]+s[2]+t[1]+t[2]))for(u=0;b>u;++u){p=0;do l=.5*(a+n),c.setCoordinates(e.COORDS_BY_USER,[this.X(l,!0),this.Y(l,!0)],!1),d=c.scrCoords,g=isNaN(d[1]+d[2]),g&&(n=l),++p;while(g&&m>p);if(!(m>p))break;a=l,f=d.slice()}if(null!==f)return this._insertPoint(new i(e.COORDS_BY_SCREEN,f.slice(1),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){var r=10,s=this.board.canvasWidth,o=this.board.canvasHeight;return t[1]<-r&&i[1]<-r||t[2]<-r&&i[2]<-r||t[1]>s+r&&i[1]>s+r||t[2]>o+r&&i[2]>o+r?!0:!1},_plotRecursive:function(t,r,s,o,n,a){var h,l,c,d,u,p,f=0,m=.5,b=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),b.setCoordinates(e.COORDS_BY_USER,[this.X(h,!0),this.Y(h,!0)],!1),l=b.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]||1/0===c[0]||1/0===c[1]||1/0===c[2]),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,[0/0,0/0],this.board,!1)):f>=n||d?this._insertPoint(b):(this._plotRecursive(t,r,l,h,n,a),this._insertPoint(b),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=12,l=3,l=2,this.smoothLevel=h-5,this.jumpLevel=5):(h=17,l=.9,l=2,this.smoothLevel=h-7,this.jumpLevel=3),this.nanLevel=h-4,this.points=[],this._lastCrds=[0,0/0,0/0],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._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){var i,r,s,o,n=this[e],a=n.length,h=[];if(isNaN(t))return 0/0;if(0>t)return l.isFunction(n[0])?n[0]():n[0];if(3===this.bezierDegree){if(a/=3,t>=a)return l.isFunction(n[n.length-1])?n[n.length-1]():n[n.length-1];for(i=3*Math.floor(t),s=t%1,o=1-s,r=0;4>r;r++)h[r]=l.isFunction(n[i+r])?n[i+r]():n[i+r];return o*o*(o*h[0]+3*s*h[1])+(3*o*h[2]+s*h[3])*s*s}if(i=t>a-2?a-2:parseInt(Math.floor(t),10),i===t)return l.isFunction(n[i])?n[i]():n[i];for(r=0;2>r;r++)h[r]=l.isFunction(n[i+r])?n[i+r]():n[i+r];return h[0]+(h[1]-h[0])*(t-i)}},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;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]}}),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(t,e,i){var r;return r=function(){var t,i=[],r=[];return function(s,o){var a,h,c;if(!o){if(i=[],r=[],2===e.length&&l.isArray(e[0])&&l.isArray(e[1])&&e[0].length===e[1].length)for(a=0;a<e[0].length;a++)"function"==typeof e[0][a]?i.push(e[0][a]()):i.push(e[0][a]),"function"==typeof e[1][a]?r.push(e[1][a]()):r.push(e[1][a]);else for(a=0;a<e.length;a++)if(l.isPoint(e[a]))i.push(e[a].X()),r.push(e[a].Y());else if(l.isArray(e[a])&&2===e[a].length)for(h=0;h<e.length;h++)"function"==typeof e[h][0]?i.push(e[h][0]()):i.push(e[h][0]),"function"==typeof e[h][1]?r.push(e[h][1]()):r.push(e[h][1]);else l.isFunction(e[a])&&2===e[a]().length&&(c=e[a](),i.push(c[0]),r.push(c[1]));t=n.splineDef(i,r)}return n.splineEval(s,i,r,t)}},t.create("curve",["x",r()],i)},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,b=m.minX(),g=m.maxX();for(i=(g-b)/p,this.dataX=[],this.dataY=[],m.elementClass!==e.OBJECT_CLASS_CURVE&&p++,t=0;p>t;t++){r=b+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){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(e[0],t)&&e[1].elementClass===a.OBJECT_CLASS_LINE)o=n.providePoints(t,[e[0]],r,"point")[0],s=e[1];else{if(!n.isPointType(e[1],t)||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.parents=[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(e[0],t)&&e[1].elementClass===a.OBJECT_CLASS_LINE)s=e[1],r=n.providePoints(t,[e[0]],i,"point")[0];else{if(!n.isPointType(e[1],t)||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.parents=[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(e[0],t)&&e[1].elementClass===a.OBJECT_CLASS_LINE)o=n.providePoints(t,[e[0]],r,"point")[0],s=e[1];else{if(!n.isPointType(e[1],t)||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.parents=[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(r[0],e)&&r[1].elementClass===a.OBJECT_CLASS_LINE)h=r[1],o=n.providePoints(e,[r[0]],s,"point")[0];else{if(!n.isPointType(r[1],e)||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.parents=[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(i[0],t)&&n.isPointType(i[1],t))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?0/0:.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?0/0:.5*t}],r),s.addChild(h),o.addChild(h),h.elType="midpoint",h.parents=[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(e[0],t)&&n.isPointType(e[1],t)&&n.isPointType(e[2],t))e=n.providePoints(t,e,i,"point"),r=e[0],s=e[1],o=e[2];else if(n.isPointType(e[0],t)&&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(e[1],t)||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.parents=[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(i[0],t)?(s=n.providePoints(t,[i[0]],r,"point")[0],h=function(){return i[1].stdform}):n.isPointType(i[1],t)&&(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.parents=[i[0].id,i[1].id],3===i.length&&a.parents.push(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(i[0],t))o=n.providePoints(t,[i[0]],s,"point")[0],h=i[1];else{if(!n.isPointType(i[1],t))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)}for(l.parents=[],c=0;c<i.length;c++)l.parents.push(i[c].id);return l.elType="normal",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.parents=[e[0].id,e[1].id,e[2].id],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.parents=[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.parents=[a.id,l.id,c.id],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.parents=[e[0].id,e[1].id,e[2].id],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.parents=[i[0].id,i[1].id,i[2].id],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.parents=[i[0].id,i[1].id,i[2].id],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.parents=[e[0].id,e[1].id],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.parents=[e[0].id,e[1].id],s.prepareUpdate().update(),s},t.createIntegral=function(e,i,s){var h,l,c,d,u,p,f,m,b,g,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,b=function(){return l.Y(m())},u=m()):(m=u,b=l.Y(u)),c=n.copyAttributes(s,e.options,"integral","curveLeft"),g=e.create("glider",[p,f,l],c),n.isFunction(p)&&g.hideElement(),c=n.copyAttributes(s,e.options,"integral","baseLeft"),v=e.create("point",[function(){return"y"===P.visProp.axis?0:g.X()},function(){return"y"===P.visProp.axis?g.Y():0}],c),c=n.copyAttributes(s,e.options,"integral","curveRight"),y=e.create("glider",[m,b,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);return y.X()+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);return y.Y()+t.usrCoords[2]},function(){var t=r.I([v.X(),C.X()],l.Y);return"&int; = "+t.toFixed(4)}],c),_.dump=!1,g.addChild(_),y.addChild(_)),g.dump=!1,v.dump=!1,y.dump=!1,C.dump=!1,P.elType="integral",P.parents=[l.id,h],P.subs={curveLeft:g,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(g.Y()<y.Y()?(o=g.X(),a=g.Y(),n=y.X(),h=y.Y()):(o=y.X(),a=y.Y(),n=g.X(),h=g.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},g.addChild(P),y.addChild(P),P.baseLeft=v,P.baseRight=C,P.curveLeft=g,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.parents=[],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,h.setCoordinates(a.COORDS_BY_USER,[Math.floor(h.usrCoords[1]/c)*c,Math.ceil(h.usrCoords[2]/d)*d]),l.setCoordinates(a.COORDS_BY_USER,[Math.ceil(l.usrCoords[1]/c)*c,Math.floor(l.usrCoords[2]/d)*d]),r.dataX=[],r.dataY=[],e=h.usrCoords[2],i=l.usrCoords[2],h.usrCoords[2]<l.usrCoords[2]&&(e=l.usrCoords[2],i=h.usrCoords[2]),s=e;s>i-d;s-=d)r.dataX.push(h.usrCoords[1],l.usrCoords[1],0/0),r.dataY.push(s,s,0/0);for(e=h.usrCoords[1],i=l.usrCoords[1],h.usrCoords[1]>l.usrCoords[1]&&(e=l.usrCoords[1],i=h.usrCoords[1]),s=e;i+c>s;s+=c)r.dataX.push(s,s,0/0),r.dataY.push(h.usrCoords[2],l.usrCoords[2],0/0)},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),b=m;m[1]>0&&(m=s.multiply(m,-1),b=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]-b[1]*p,f[2]+b[0]*p],this.dataX=[o[1],o[1]+m[0]*h,n[1]+b[0]*h,n[1],o[1]],this.dataY=[o[2],o[2]+m[1]*h,n[2]+b[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","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,b,g,v,y){return t.Board=function(t,i,s,o,n,a,l,c,f,m,b){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,d.exists(b.document)&&b.document!==!1?this.document=b.document:"object"==typeof document&&(this.document=document),this.container=t,this.containerObj=p.isBrowser?this.document.getElementById(this.container):null,p.isBrowser&&null===this.containerObj)throw new Error("\nJSXGraph: HTML container element '"+t+"' not found.");
this.renderer=i,this.grids=[],this.options=d.deepCopy(r),this.attr=b,this.dimension=2,this.jc=new h,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=l*this.zoomX,this.unitY=c*this.zoomY,this.keepaspectratio=!1,this.canvasWidth=f,this.canvasHeight=m,this.id=d.exists(s)&&""!==s&&p.isBrowser&&!d.exists(this.document.getElementById(s))?s:this.generateId(),u.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.touchMoveLast=0,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.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=2,o="",n="",a=[],h="";if(t.type===e.OBJECT_TYPE_TICKS)return"";for(i=d.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"],d.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(!d.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;d.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&&d.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,s,o=this.document.documentElement||this.document.body.parentNode,n=this.document.body,a=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(),a.getBoundingClientRect?(r="number"==typeof window.pageXOffset?window.pageXOffset:"number"===o.ScrollLeft?o.ScrollLeft:this.document.body.scrollLeft,s="number"==typeof window.pageYOffset?window.pageYOffset:"number"===o.ScrollTop?o.ScrollTop:this.document.body.scrollTop,i=a.getBoundingClientRect(),t=[i.left+r,i.top+s],t[0]+=p.getProp(a,"border-left-width"),t[1]+=p.getProp(a,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=p.getProp(a,"padding-left"),t[1]+=p.getProp(a,"padding-top")),this.cPos=t.slice(),this.cPos):(t=p.getOffset(a),e=this.document.documentElement.ownerDocument,!this.containerObj.currentStyle&&e.defaultView&&(t[0]+=p.getProp(o,"margin-left"),t[1]+=p.getProp(o,"margin-top"),t[0]+=p.getProp(o,"border-left-width"),t[1]+=p.getProp(o,"border-top-width"),t[0]+=p.getProp(o,"padding-left"),t[1]+=p.getProp(o,"padding-top")),n&&(t[0]+=p.getProp(n,"left"),t[1]+=p.getProp(n,"top")),"object"==typeof google&&google.translate&&(t[0]+=10,t[1]+=25),t[0]+=p.getProp(a,"border-left-width"),t[1]+=p.getProp(a,"border-top-width"),"vml"!==this.renderer.type&&(t[0]+=p.getProp(a,"padding-left"),t[1]+=p.getProp(a,"padding-top")),t[0]+=this.attr.offsetx,t[1]+=this.attr.offsety,this.cPos=t.slice(),this.Pos))},getMousePosition:function(t,e){var i,r,s=this.getCoordsTopLeftCorner();return i=p.getPosition(t,e,this.document),d.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,h=[],l=this.objectsList.length,c={visProp:{layer:-1e4}};for(n=0;l>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&&(d.isPoint(o)||o.elementClass===e.OBJECT_CLASS_TEXT)||!this.geonextCompatibilityMode)&&o.isDraggable&&o.visProp.visible&&!o.visProp.fixed&&!o.visProp.frozen&&a&&(o.visProp.layer>c.visProp.layer||o.visProp.layer===c.visProp.layer&&o.lastDragTime.getTime()>=c.lastDragTime.getTime())&&(this.attr.ignorelabels&&d.exists(c.label)&&o===c.label||(c=o,h[0]=c));return h.length>0&&(this.mode=this.BOARD_MODE_DRAG),this.attr.takefirst&&(h.length=1),h},moveObject:function(t,r,s,o,a){var h,l=new i(e.COORDS_BY_SCREEN,this.getScrCoordsOfMouse(t,r),this),c=s.obj;c&&(this.drag_position=[l.scrCoords[1],l.scrCoords[2]],c.type!==e.OBJECT_TYPE_GLIDER?(isNaN(s.targets[0].Xprev+s.targets[0].Yprev)||c.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],c.prepareUpdate().update(!1).updateRenderer()):c.type===e.OBJECT_TYPE_GLIDER&&(h=c.coords,c.setPositionDirectly(e.COORDS_BY_USER,l.usrCoords.slice(1)),0!==c.group.length?(c.slideObject.elementClass===e.OBJECT_CLASS_CIRCLE?c.coords.setCoordinates(e.COORDS_BY_USER,n.projectPointToCircle(c,c.slideObject,this).usrCoords,!1):c.slideObject.elementClass===e.OBJECT_CLASS_LINE&&c.coords.setCoordinates(e.COORDS_BY_USER,n.projectPointToLine(c,c.slideObject,this).usrCoords,!1),c.group[c.group.length-1].dX=c.coords.scrCoords[1]-h.scrCoords[1],c.group[c.group.length-1].dY=c.coords.scrCoords[2]-h.scrCoords[2],c.group[c.group.length-1].update(this)):c.prepareUpdate().update(!1).updateRenderer()),c.triggerEventHandlers([a+"drag","drag"],[o]),this.updateInfobox(c),this.update(),c.highlight(!0),c.lastDragTime=new Date)},twoFingerMove:function(t,r,s,o){var n,a,h;d.exists(s)&&d.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,u,p,f,m,b,g,v,y,C,P,_,E,S;if(d.exists(s.targets[0])&&d.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,u=new i(e.COORDS_BY_SCREEN,[s.targets[1].Xprev,s.targets[1].Yprev],this).usrCoords,f=[1,.5*(c[1]+u[1]),.5*(c[2]+u[2])],p=[1,.5*(h[1]+l[1]),.5*(h[2]+l[2])],b=o.crossProduct(c,u),m=o.crossProduct(h,l),v=o.crossProduct(b,m),Math.abs(v[0])<o.eps)return;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&&(g=n.distance(h,l)/n.distance(c,u),_=this.create("transform",[-p[1],-p[2]],{type:"translate"}),E=this.create("transform",[g,g],{type:"scale"}),S=this.create("transform",[p[1],p[2]],{type:"translate"}),C.melt(_).melt(E).melt(S)),a.elementClass===e.OBJECT_CLASS_LINE?C.applyOnce([a.point1,a.point2]):a.type===e.OBJECT_TYPE_POLYGON&&C.applyOnce(a.vertices.slice(0,-1)),this.update(),a.highlight(!0)}},twoFingerTouchCircle:function(t,r,s,o){var a,h,l,c,u,p,f,m,b,g,v;"pointCircle"!==o.method&&"pointLine"!==o.method&&d.exists(s.targets[0])&&d.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"}),b=this.create("transform",[p],{type:"rotate"}),f.melt(m).melt(b),o.visProp.scalable&&(u=n.distance(a,h)/n.distance(l,c),g=this.create("transform",[u,u],{type:"scale"}),f.melt(g)),v=this.create("transform",[a[1],a[2]],{type:"translate"}),f.melt(v),f.applyOnce([o.center]),"twoPoints"===o.method?f.applyOnce([o.point2]):"pointRadius"===o.method&&d.isNumber(o.updateRadius.origin)&&o.setRadius(o.radius*u),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,d.exists(o.hasPoint)&&o.visProp.visible&&o.hasPoint(t,e)&&(this.updateInfobox(o),d.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([1,0/0,0/0]);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(d.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])<80,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(){p.supportsPointerEvents()?this.addPointerEventHandlers():(this.addMouseEventHandlers(),this.addTouchEventHandlers())},addPointerEventHandlers:function(){!this.hasPointerHandlers&&p.isBrowser&&(window.navigator.pointerEnabled?(p.addEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),p.addEvent(this.containerObj,"pointermove",this.pointerMoveListener,this)):(p.addEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),p.addEvent(this.containerObj,"MSPointerMove",this.pointerMoveListener,this)),this.hasPointerHandlers=!0)},addMouseEventHandlers:function(){!this.hasMouseHandlers&&p.isBrowser&&(p.addEvent(this.containerObj,"mousedown",this.mouseDownListener,this),p.addEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),p.addEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),p.addEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!0,this.containerObj.oncontextmenu=function(t){return d.exists(t)&&t.preventDefault(),!1})},addTouchEventHandlers:function(t){!this.hasTouchHandlers&&p.isBrowser&&(p.addEvent(this.containerObj,"touchstart",this.touchStartListener,this),p.addEvent(this.containerObj,"touchmove",this.touchMoveListener,this),(!d.exists(t)||t)&&(p.addEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),p.addEvent(this.containerObj,"gesturechange",this.gestureChangeListener,this),this.hasGestureHandlers=!0),this.hasTouchHandlers=!0)},removePointerEventHandlers:function(){this.hasPointerHandlers&&p.isBrowser&&(window.navigator.pointerEnabled?(p.removeEvent(this.containerObj,"pointerdown",this.pointerDownListener,this),p.removeEvent(this.containerObj,"pointermove",this.pointerMoveListener,this)):(p.removeEvent(this.containerObj,"MSPointerDown",this.pointerDownListener,this),p.removeEvent(this.containerObj,"MSPointerMove",this.pointerMoveListener,this)),this.hasPointerUp&&(window.navigator.pointerEnabled?p.removeEvent(this.document,"pointerup",this.pointerUpListener,this):p.removeEvent(this.document,"MSPointerUp",this.pointerUpListener,this),this.hasPointerUp=!1),this.hasPointerHandlers=!1)},removeMouseEventHandlers:function(){this.hasMouseHandlers&&p.isBrowser&&(p.removeEvent(this.containerObj,"mousedown",this.mouseDownListener,this),p.removeEvent(this.containerObj,"mousemove",this.mouseMoveListener,this),this.hasMouseUp&&(p.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),p.removeEvent(this.containerObj,"mousewheel",this.mouseWheelListener,this),p.removeEvent(this.containerObj,"DOMMouseScroll",this.mouseWheelListener,this),this.hasMouseHandlers=!1)},removeTouchEventHandlers:function(){this.hasTouchHandlers&&p.isBrowser&&(p.removeEvent(this.containerObj,"touchstart",this.touchStartListener,this),p.removeEvent(this.containerObj,"touchmove",this.touchMoveListener,this),this.hasTouchEnd&&(p.removeEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!1),this.hasGestureHandlers&&(p.removeEvent(this.containerObj,"gesturestart",this.gestureStartListener,this),p.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]),!1},clickRightArrow:function(){return this.moveOrigin(this.origin.scrCoords[1]-.1*this.canvasWidth,this.origin.scrCoords[2]),!1},clickUpArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]-.1*this.canvasHeight),!1},clickDownArrow:function(){return this.moveOrigin(this.origin.scrCoords[1],this.origin.scrCoords[2]+.1*this.canvasHeight),!1},gestureChangeListener:function(t){var r,s=this.attr.zoom.factorx,o=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),this),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=s,this.attr.zoom.factory=o),!1):!0},gestureStartListener:function(t){return this.attr.zoom.wheel?(t.preventDefault(),this.prevScale=1,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=this.options.precision.touch;if(this.hasPointerUp||(window.navigator.pointerEnabled?p.addEvent(this.document,"pointerup",this.pointerUpListener,this):p.addEvent(this.document,"MSPointerUp",this.pointerUpListener,this),this.hasPointerUp=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.hasTouchHandlers&&this.removeTouchEventHandlers(),this.document.selection&&"function"==typeof this.document.selection.empty?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),t.isBrowser&&window.navigator.msMaxTouchPoints&&window.navigator.msMaxTouchPoints>1&&(this.options.precision.hasPoint=d),n=this.getMousePosition(e),i?(a=[i],this.mode=this.BOARD_MODE_DRAG):a=this.initMoveObject(n[0],n[1],e,"mouse"),a.length>0){for(l=a[a.length-1],h=!1,r=0;r<this.touches.length;r++)if(this.touches[r].obj===l){s=r,o=this.touches[r].targets.push({num:e.pointerId,X:n[0],Y:n[1],Xprev:0/0,Yprev:0/0,Xstart:[],Ystart:[],Zstart:[]})-1,h=!0;break}h||(o=0,s=this.touches.push({obj:l,targets:[{num:e.pointerId,X:n[0],Y:n[1],Xprev:0/0,Yprev:0/0,Xstart:[],Ystart:[],Zstart:[]}]})-1),this.dehighlightAll(),l.highlight(!0),this.saveStartPos(l,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]),c)},pointerMoveListener:function(e){var i,r,s;if(e[t.touchProperty],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.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.options.precision.touch,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}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?p.removeEvent(this.document,"pointerup",this.pointerUpListener,this):p.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,u,f,m,b=this.options.precision.touch,g=i[t.touchProperty];for(this.hasTouchEnd||(p.addEvent(this.document,"touchend",this.touchEndListener,this),this.hasTouchEnd=!0),this.hasMouseHandlers&&this.removeMouseEventHandlers(),this.document.selection&&"function"==typeof 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,b=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))<b*b){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}b*=2}while(-1===this.touches[s].targets[a].num&&b<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 = "+b+", 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),n=this.initMoveObject(o[0],o[1],i,"touch"),0!==n.length)if(c=n[n.length-1],d.isPoint(c)||c.elementClass===e.OBJECT_CLASS_TEXT||c.type===e.OBJECT_TYPE_TICKS||c.type===e.OBJECT_TYPE_IMAGE)f=[{num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:0/0,Yprev:0/0,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(c,f[0]),this.touches.push({obj:c,targets:f}),c.highlight(!0);else if(c.elementClass===e.OBJECT_CLASS_LINE||c.elementClass===e.OBJECT_CLASS_CIRCLE||c.type===e.OBJECT_TYPE_POLYGON){for(u=!1,a=0;a<this.touches.length;a++)c.id===this.touches[a].obj.id&&(u=!0,1===this.touches[a].targets.length&&(m={num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:0/0,Yprev:0/0,Xstart:[],Ystart:[],Zstart:[]},this.saveStartPos(c,m),this.touches[a].targets.push(m)),g[s].jxg_isused=!0);u||(f=[{num:s,X:g[s].screenX,Y:g[s].screenY,Xprev:0/0,Yprev:0/0,Xstart:[],Ystart:[],Zstart:[]}],this.saveStartPos(c,f[0]),this.touches.push({obj:c,targets:f}),c.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):(p.isWebkitAndroid()&&(l=new Date,this.touchMoveLast=l.getTime()-200),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,n=e[t.touchProperty];if(this.mode!==this.BOARD_MODE_NONE&&(e.preventDefault(),e.stopPropagation()),p.isWebkitAndroid()){if(o=new Date,o=o.getTime(),o-this.touchMoveLast<80)return this.updateQuality=this.BOARD_QUALITY_HIGH,this.triggerEventHandlers(["touchmove","move"],[e,this.mode]),!1;this.touchMoveLast=o}if(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.touchOriginMove(e)&&this.mode===this.BOARD_MODE_DRAG)for(i=0;i<this.touches.length;i++)if(1===this.touches[i].targets.length){if(n[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=n[this.touches[i].targets[0].num].screenX,this.touches[i].targets[0].Y=n[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&&n[this.touches[i].targets[0].num]&&n[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=n[this.touches[i].targets[0].num].screenX,this.touches[i].targets[0].Y=n[this.touches[i].targets[0].num].screenY,this.touches[i].targets[1].X=n[this.touches[i].targets[1].num].screenX,this.touches[i].targets[1].Y=n[this.touches[i].targets[1].num].screenY,this.twoFingerMove(r,s,this.touches[i],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),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(d.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:0/0,Yprev:0/0,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&&(p.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&&"function"==typeof this.document.selection.empty?this.document.selection.empty():window.getSelection&&window.getSelection().removeAllRanges(),this.hasMouseUp?void 0:(p.addEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!0,e=this.getMousePosition(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:0/0,Yprev:0/0}]},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)},mouseUpListener:function(t){var e;for(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(),e=0;e<this.downObjects.length;e++)this.downObjects[e].triggerEventHandlers(["mouseup","up"],[t]);this.downObjects.length=0,this.hasMouseUp&&(p.removeEvent(this.document,"mouseup",this.mouseUpListener,this),this.hasMouseUp=!1),this.mouse=null},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.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.updateQuality=this.BOARD_QUALITY_HIGH,this.triggerEventHandlers(["mousemove","move"],[t,this.mode])},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]),t.preventDefault(),!1},updateInfobox:function(t){var e,i,r,s;return t.visProp.showinfobox?(d.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=d.autoDigits(r),i=d.autoDigits(s)):d.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){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=p.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=p.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],d.exists(t.coords)&&(t.visProp.frozen?t.coords.screen2usr():t.coords.usr2screen());return this},moveOrigin:function(t,e,i){return d.exists(t)&&d.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(e){var i,r,s,o,n,a,h,l=[],u="var el, x, y, c, rgbo;\n",p=e.indexOf("<data>"),f=e.indexOf("</data>"),m=function(t,e,i,r){return function(){var s,o;s=t.select(e.id),o=s.coords.usrCoords[r],2===r?s.setPositionDirectly(d.COORDS_BY_USER,[i(),o]):s.setPositionDirectly(d.COORDS_BY_USER,[o,i()]),s.prepareUpdate().update()}},b=function(t,e,i){return function(){var r,s;r=t.select(e.id),s=i(),r.setAttribute({visible:s})}},g=function(t,e,i,r){return function(){var s,o;s=t.select(e.id),o=i(),"strokewidth"===r?s.visProp.strokewidth=o:(o=c.rgba2rgbo(o),s.visProp[r+"color"]=o[0],s.visProp[r+"opacity"]=o[1])}},v=function(t,e,i){return function(){var r=t.select(e.id);r.position=i()}},y=function(t,e,i){return function(){var r=t.select(e.id);r.setStyle(i())}};if(!(0>p)){for(;p>=0;){if(i=e.slice(p+6,f),r=i.indexOf("="),s=i.slice(0,r),o=i.slice(r+1),r=s.indexOf("."),n=s.slice(0,r),a=this.elementsByName[d.unescapeHTML(n)],h=s.slice(r+1).replace(/\s+/g,"").toLowerCase(),o=d.createFunction(o,this,"",!0),d.exists(this.elementsByName[n]))switch(u+='el = this.objects["'+a.id+'"];\n',h){case"x":l.push(m(this,a,o,2));break;case"y":l.push(m(this,a,o,1));break;case"visible":l.push(b(this,a,o));break;case"position":l.push(v(this,a,o));break;case"stroke":l.push(g(this,a,o,"stroke"));break;case"style":l.push(y(this,a,o));break;case"strokewidth":l.push(g(this,a,o,"strokewidth"));break;case"fill":l.push(g(this,a,o,"fill"));break;case"label":break;default:t.debug("property '"+h+"' in conditions not yet implemented:"+o)}else t.debug("debug conditions: |"+n+"| undefined");e=e.slice(f+7),p=e.indexOf("<data>"),f=e.indexOf("</data>")}this.updateConditions=function(){var t;for(t=0;t<l.length;t++)l[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"number"==typeof t&&"number"==typeof 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(),!1},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;return this.zoomX<this.attr.zoom.eps||this.zoomY<this.attr.zoom.eps?!1:("number"==typeof t&&"number"==typeof 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(),!1)},zoom100:function(){var t=this.getBoundingBox(),e=.5*(t[2]-t[0])*(1-this.zoomX),i=.5*(t[1]-t[3])*(1-this.zoomY);return this.setBoundingBox([t[0]+e,t[1]-i,t[2]-e,t[3]+i],!1),this.zoomX=1,this.zoomY=1,this.applyZoom(),!1},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],d.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(),this},zoomElements:function(t){var e,i,r,s,o=[0,0,0,0],n=[1,-1,-1,1];if(!d.isArray(t)||0===t.length)return this;for(e=0;e<t.length;e++)if(r=this.select(t[e]),s=r.bounds(),d.isArray(s))if(d.isArray(o))for(i=0;4>i;i++)n[i]*s[i]<n[i]*o[i]&&(o[i]=s[i]);else o=s;if(d.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(e){var i,r;if(d.isArray(e)){for(r=0;r<e.length;r++)this.removeObject(e[r]);return this}if(e=this.select(e),!d.exists(e)||d.isString(e))return this;try{for(i in e.childElements)e.childElements.hasOwnProperty(i)&&e.childElements[i].board.removeObject(e.childElements[i]);for(i in this.objects)this.objects.hasOwnProperty(i)&&d.exists(this.objects[i].childElements)&&(delete this.objects[i].childElements[e.id],delete this.objects[i].descendants[e.id]);if(e._pos>-1)for(this.objectsList.splice(e._pos,1),i=e._pos;i<this.objectsList.length;i++)this.objectsList[i]._pos--;else t.debug("Board.removeObject: object "+e.id+" not found in list.");delete this.objects[e.id],delete this.elementsByName[e.name],e.visProp&&e.visProp.trace&&e.clearTrace(),d.exists(e.remove)&&e.remove()}catch(s){t.debug(e.id+": Could not be removed: "+s)}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=d.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>"+d.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(!d.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(t,e,i){return e=d.def(e,"update"),i=d.def(i,this),this.hooks.push([e,t]),this.on(e,t,i),this.hooks.length-1},addEvent:t.shortcut(t.Board.prototype,"on"),removeHook:function(t){return this.hooks[t]&&(this.off(this.hooks[t][0],this.hooks[t][1]),this.hooks[t]=null),this},removeEvent:t.shortcut(t.Board.prototype,"off"),updateHooks:function(){var t=Array.prototype.slice.call(arguments,0);return t[0]=d.def(t[0],"update"),this.triggerEventHandlers([t[0]],arguments),this},addChild:function(t){return d.exists(t)&&d.exists(t.containerObj)&&(this.dependentBoards.push(t),this.update()),this},removeChild:function(t){var e;for(e=this.dependentBoards.length-1;e>=0;e--)this.dependentBoards[e]===t&&this.dependentBoards.splice(e,1);return this},update:function(t){var e,i,r,s;if(this.inUpdate||this.isSuspendedUpdate)return this;for(this.inUpdate=!0,"all"===this.attr.minimizereflow&&this.containerObj&&"vml"!==this.renderer.type&&(s=this.renderer.removeToInsertLater(this.containerObj)),"svg"===this.attr.minimizereflow&&"svg"===this.renderer.type&&(s=this.renderer.removeToInsertLater(this.renderer.svgRoot)),this.prepareUpdate().updateElements(t).updateConditions(),this.renderer.suspendRedraw(this),this.updateRenderer(),this.renderer.unsuspendRedraw(),this.triggerEventHandlers(["update"],[]),s&&s(),i=this.dependentBoards.length,e=0;i>e;e++)r=this.dependentBoards[e],d.exists(r)&&r!==this&&(r.updateQuality=this.updateQuality,r.prepareUpdate().updateElements().updateConditions(),r.renderer.suspendRedraw(),r.updateRenderer(),r.renderer.unsuspendRedraw(),r.triggerEventHandlers(["update"],[]));return this.inUpdate=!1,this},fullUpdate:function(){return this.needsFullUpdate=!0,this.update(),this.needsFullUpdate=!1,this},addGrid:function(){return this.create("grid",[]),this},removeGrids:function(){var t;for(t=0;t<this.grids.length;t++)this.removeObject(this.grids[t]);return this.grids.length=0,this.update(),this},create:function(e,i,r){var s,o;for(e=e.toLowerCase(),d.exists(i)||(i=[]),d.exists(r)||(r={}),o=0;o<i.length;o++)"string"!=typeof i[o]||"text"===e&&2===o||(i[o]=this.select(i[o]));if("function"!=typeof t.elements[e])throw new Error("JSXGraph: create: Unknown element type given: "+e);return s=t.elements[e](this,i,r),d.exists(s)?(s.prepareUpdate&&s.update&&s.updateRenderer&&s.prepareUpdate().update().updateRenderer(),s):(t.debug("JSXGraph: create: failure creating "+e),s)},createElement:t.shortcut(t.Board.prototype,"create"),clearTraces:function(){var t;for(t=0;t<this.objectsList.length;t++)this.objectsList[t].clearTrace();return this.numTraces=0,this},suspendUpdate:function(){return this.inUpdate||(this.isSuspendedUpdate=!0),this},unsuspendUpdate:function(){return this.isSuspendedUpdate&&(this.isSuspendedUpdate=!1,this.update()),this},setBoundingBox:function(t,e){var i,r,s=p.getDimensions(this.container,this.document);return d.isArray(t)?(this.plainBB=t,this.canvasWidth=parseInt(s.width,10),this.canvasHeight=parseInt(s.height,10),r=this.canvasWidth,i=this.canvasHeight,e?(this.unitX=r/(t[2]-t[0]),this.unitY=i/(t[1]-t[3]),Math.abs(this.unitX)<Math.abs(this.unitY)?this.unitY=Math.abs(this.unitX)*this.unitY/Math.abs(this.unitY):this.unitX=Math.abs(this.unitY)*this.unitX/Math.abs(this.unitX),this.keepaspectratio=!0):(this.unitX=r/(t[2]-t[0]),this.unitY=i/(t[1]-t[3]),this.keepaspectratio=!1),this.moveOrigin(-this.unitX*t[0],this.unitY*t[1]),this):this},getBoundingBox:function(){var t=new i(e.COORDS_BY_SCREEN,[0,0],this),r=new i(e.COORDS_BY_SCREEN,[this.canvasWidth,this.canvasHeight],this);return[t.usrCoords[1],t.usrCoords[2],r.usrCoords[1],r.usrCoords[2]]},addAnimation:function(t){var e=this;return this.animationObjects[t.id]=t,this.animationIntervalCode||(this.animationIntervalCode=window.setInterval(function(){e.animate()},t.board.attr.animationdelay)),this},stopAllAnimation:function(){var t;for(t in this.animationObjects)this.animationObjects.hasOwnProperty(t)&&d.exists(this.animationObjects[t])&&(this.animationObjects[t]=null,delete this.animationObjects[t]);return window.clearInterval(this.animationIntervalCode),delete this.animationIntervalCode,this},animate:function(){var t,i,r,s,o,n,a,h,l=0,c=null;for(i in this.animationObjects)if(this.animationObjects.hasOwnProperty(i)&&d.exists(this.animationObjects[i])){if(l+=1,r=this.animationObjects[i],r.animationPath&&(s=d.isFunction(r.animationPath)?r.animationPath((new Date).getTime()-r.animationStart):r.animationPath.pop(),!d.exists(s)||!d.isArray(s)&&isNaN(s)?delete r.animationPath:(r.setPositionDirectly(e.COORDS_BY_USER,s),r.prepareUpdate().update().updateRenderer(),c=r)),r.animationData){a=0;for(o in r.animationData)r.animationData.hasOwnProperty(o)&&(n=r.animationData[o].pop(),d.exists(n)?(a+=1,t={},t[o]=n,r.setAttribute(t)):delete r.animationData[n]);0===a&&delete r.animationData}d.exists(r.animationData)||d.exists(r.animationPath)||(this.animationObjects[i]=null,delete this.animationObjects[i],d.exists(r.animationCallback)&&(h=r.animationCallback,r.animationCallback=null,h()))}return 0===l?(window.clearInterval(this.animationIntervalCode),delete this.animationIntervalCode):this.update(c),this},migratePoint:function(e,i,r){var s,o,n,a,h,l,c=!1;e=this.select(e),i=this.select(i),t.exists(e.label)&&(l=e.label.id,c=!0,this.removeObject(e.label));for(o in e.childElements)if(e.childElements.hasOwnProperty(o)){s=e.childElements[o],a=!1;for(n in 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n.setAttribute){for(i=d.filterElements(this.objectsList,n),r={},o=i.length,s=0;o>s;s++)r[i[s].id]=i[s];n=new y(r)}else"object"==typeof n&&t.exists(n.id)&&!t.exists(this.objects[n.id])&&(n=null);return n},hasPoint:function(e,i){var r=e,s=i,o=this.getBoundingBox();return t.exists(e)&&t.isArray(e.usrCoords)&&(r=e.usrCoords[1],s=e.usrCoords[2]),"number"==typeof r&&"number"==typeof s&&o[0]<r&&r<o[2]&&o[1]>s&&s>o[3]?!0:!1},updateCSSTransforms:function(){var t=this.containerObj,e=t,i=t;for(this.cssTransMat=p.getCSSTransformMatrix(e),e=e.offsetParent;e;){for(this.cssTransMat=o.matMatMult(p.getCSSTransformMatrix(e),this.cssTransMat),i=i.parentNode;i!==e;)this.cssTransMat=o.matMatMult(p.getCSSTransformMatrix(e),this.cssTransMat),i=i.parentNode;e=e.offsetParent}return this.cssTransMat=o.inverse(this.cssTransMat),this},__evt__down:function(){},__evt__mousedown:function(){},__evt__touchstart:function(){},__evt__up:function(){},__evt__mouseup:function(){},__evt__touchend:function(){},__evt__move:function(){},__evt__mousemove:function(){},__evt__touchmove:function(){},__evt__hit:function(){},__evt__mousehit:function(){},__evt__update:function(){},__evt__boundingbox:function(){},__evt:function(){},createRoulette:function(t,e,i,r,o,n,h){var l=this,c=function(){var c,d=0,u=0,p=0,f=i,m=s.root(function(i){var r=t.X(f),s=t.Y(f),o=e.X(i),n=e.Y(i);return(r-o)*(r-o)+(s-n)*(s-n)},[0,2*Math.PI]),b=0,g=0,v=l.create("transform",[function(){return d}],{type:"rotate"}),y=l.create("transform",[function(){return d},function(){return t.X(f)},function(){return t.Y(f)}],{type:"rotate"}),C=l.create("transform",[function(){return u},function(){return p}],{type:"translate"}),P=function(t,e,i){var r=s.D(t.X)(e),o=s.D(t.Y)(e),n=s.D(t.X)(i),a=s.D(t.Y)(i),h=s.D(t.X)(.5*(e+i)),l=s.D(t.Y)(.5*(e+i)),c=Math.sqrt(r*r+o*o),d=Math.sqrt(n*n+a*a),u=Math.sqrt(h*h+l*l);return(c+4*u+d)*(i-e)/6},_=function(t){return c-P(e,m,t)},E=Math.PI/18,S=9*E,O=null;return this.rolling=function(){var i,n,O,w,x;b=f+o*r,c=P(t,f,b),g=s.root(_,m),i=new a(t.X(b),t.Y(b)),n=new a(e.X(g),e.Y(g)),O=new a(s.D(t.X)(b),s.D(t.Y)(b)),w=new a(s.D(e.X)(g),s.D(e.Y)(g)),x=a.C.div(O,w),d=Math.atan2(x.imaginary,x.real),x.div(a.C.abs(x)),x.mult(n),u=i.real-x.real,p=i.imaginary-x.imaginary,-E>d&&d>-S?(d=-E,y.applyOnce(h)):d>E&&S>d?(d=E,y.applyOnce(h)):(v.applyOnce(h),C.applyOnce(h),f=b,m=g),l.update()},this.start=function(){return n>0&&(O=window.setInterval(this.rolling,n)),this},this.stop=function(){return window.clearInterval(O),this},this};return new c}}),t.Board}),define("renderer/svg",["jxg","options","renderer/abstract","base/constants","utils/type","utils/env","utils/color","math/numerics"],function(t,e,i,r,s,o,n,a){return t.SVGRenderer=function(t,i){var r;for(this.type="svg",this.isIE=-1!==navigator.appVersion.indexOf("MSIE")||navigator.userAgent.match(/Trident\//),this.svgRoot=null,this.svgNamespace="http://www.w3.org/2000/svg",this.xlinkNamespace="http://www.w3.org/1999/xlink",this.container=t,this.container.style.MozUserSelect="none",this.container.style.overflow="hidden",""===this.container.style.position&&(this.container.style.position="relative"),this.svgRoot=this.container.ownerDocument.createElementNS(this.svgNamespace,"svg"),this.svgRoot.style.overflow="hidden",this.svgRoot.style.width=i.width+"px",this.svgRoot.style.height=i.height+"px",this.container.appendChild(this.svgRoot),this.defs=this.container.ownerDocument.createElementNS(this.svgNamespace,"defs"),this.svgRoot.appendChild(this.defs),this.filter=this.container.ownerDocument.createElementNS(this.svgNamespace,"filter"),this.filter.setAttributeNS(null,"id",this.container.id+"_"+"f1"),this.filter.setAttributeNS(null,"width","300%"),this.filter.setAttributeNS(null,"height","300%"),this.filter.setAttributeNS(null,"filterUnits","userSpaceOnUse"),this.feOffset=this.container.ownerDocument.createElementNS(this.svgNamespace,"feOffset"),this.feOffset.setAttributeNS(null,"result","offOut"),this.feOffset.setAttributeNS(null,"in","SourceAlpha"),this.feOffset.setAttributeNS(null,"dx","5"),this.feOffset.setAttributeNS(null,"dy","5"),this.filter.appendChild(this.feOffset),this.feGaussianBlur=this.container.ownerDocument.createElementNS(this.svgNamespace,"feGaussianBlur"),this.feGaussianBlur.setAttributeNS(null,"result","blurOut"),this.feGaussianBlur.setAttributeNS(null,"in","offOut"),this.feGaussianBlur.setAttributeNS(null,"stdDeviation","3"),this.filter.appendChild(this.feGaussianBlur),this.feBlend=this.container.ownerDocument.createElementNS(this.svgNamespace,"feBlend"),this.feBlend.setAttributeNS(null,"in","SourceGraphic"),this.feBlend.setAttributeNS(null,"in2","blurOut"),this.feBlend.setAttributeNS(null,"mode","normal"),this.filter.appendChild(this.feBlend),this.defs.appendChild(this.filter),this.layer=[],r=0;r<e.layer.numlayers;r++)this.layer[r]=this.container.ownerDocument.createElementNS(this.svgNamespace,"g"),this.svgRoot.appendChild(this.layer[r]);this.dashArray=["2, 2","5, 5","10, 10","20, 20","20, 10, 10, 10","20, 5, 10, 5"]},t.SVGRenderer.prototype=new i,t.extend(t.SVGRenderer.prototype,{_createArrowHead:function(t,e){var i,r,o,n,a=t.id+"Triangle";return s.exists(e)&&(a+=e),i=this.createPrim("marker",a),i.setAttributeNS(null,"stroke",s.evaluate(t.visProp.strokecolor)),i.setAttributeNS(null,"stroke-opacity",s.evaluate(t.visProp.strokeopacity)),i.setAttributeNS(null,"fill",s.evaluate(t.visProp.strokecolor)),i.setAttributeNS(null,"fill-opacity",s.evaluate(t.visProp.strokeopacity)),i.setAttributeNS(null,"stroke-width",0),i.setAttributeNS(null,"orient","auto"),i.setAttributeNS(null,"markerUnits","strokeWidth"),o=parseInt(t.visProp.strokewidth,10),i.setAttributeNS(null,"viewBox",-o+" "+-o+" "+10*o+" "+10*o),n=Math.max(3*o,10),i.setAttributeNS(null,"markerHeight",n),i.setAttributeNS(null,"markerWidth",n),r=this.container.ownerDocument.createElementNS(this.svgNamespace,"path"),"End"===e?(i.setAttributeNS(null,"refY",5),i.setAttributeNS(null,"refX",10),r.setAttributeNS(null,"d","M 10 0 L 0 5 L 10 10 z")):(i.setAttributeNS(null,"refY",5),i.setAttributeNS(null,"refX",0),r.setAttributeNS(null,"d","M 0 0 L 10 5 L 0 10 z")),i.appendChild(r),i},_setArrowAtts:function(t,e,i,r,s){var o,n;t&&(t.setAttributeNS(null,"stroke",e),t.setAttributeNS(null,"stroke-opacity",i),t.setAttributeNS(null,"fill",e),t.setAttributeNS(null,"fill-opacity",i),t.setAttributeNS(null,"stroke-width",0),o=r,t.setAttributeNS(null,"viewBox",-o+" "+-o+" "+10*o+" "+10*o),n=Math.max(3*o,10),t.setAttributeNS(null,"markerHeight",n),t.setAttributeNS(null,"markerWidth",n),this.isIE&&s.parentNode.insertBefore(s,s))},updateTicks:function(t){var e,i,r,o,n,a="",h=t.ticks.length;for(e=0;h>e;e++)i=t.ticks[e],o=i[0],n=i[1],"number"==typeof o[0]&&"number"==typeof o[1]&&(a+="M "+o[0]+" "+n[0]+" L "+o[1]+" "+n[1]+" ");r=t.rendNode,s.exists(r)||(r=this.createPrim("path",t.id),this.appendChildPrim(r,t.visProp.layer),t.rendNode=r),r.setAttributeNS(null,"stroke",t.visProp.strokecolor),r.setAttributeNS(null,"stroke-opacity",t.visProp.strokeopacity),r.setAttributeNS(null,"stroke-width",t.visProp.strokewidth),this.updatePathPrim(r,a,t.board)},displayCopyright:function(t,e){var i,r=this.createPrim("text","licenseText");r.setAttributeNS(null,"x","20px"),r.setAttributeNS(null,"y",2+e+"px"),r.setAttributeNS(null,"style","font-family:Arial,Helvetica,sans-serif; font-size:"+e+"px; fill:#356AA0;  opacity:0.3;"),i=this.container.ownerDocument.createTextNode(t),r.appendChild(i),this.appendChildPrim(r,0)},drawInternalText:function(t){var e=this.createPrim("text",t.id);return e.setAttributeNS(null,"class",t.visProp.cssclass),t.rendNodeText=this.container.ownerDocument.createTextNode(""),e.appendChild(t.rendNodeText),this.appendChildPrim(e,t.visProp.layer),e},updateInternalText:function(t){var 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?(this.isIE&&t.visProp.visible&&(t.visProp.firstarrow||t.visProp.lastarrow)&&t.rendNode.parentNode.insertBefore(t.rendNode,t.rendNode),void 0):(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,t.visPropOld.lastarrow=t.visProp.lastarrow,void 0)},updateEllipsePrim:function(t,e,i,r,s){var o=1e6;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;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=.5*e*Math.sqrt(3),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,h,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=a.RamerDouglasPeucker(t.points,.5)),h=Math.min(t.points.length,t.numberPoints),i=1;3>i;i++)for(d=l,e=0;h>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 t.setAttributeNS(null,"points",""),void 0;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){var o,a,h,l,c=s.evaluate(i),d=s.evaluate(r);d=d>0?d:0,(e.visPropOld.fillcolor!==c||e.visPropOld.fillopacity!==d)&&(s.exists(c)&&c!==!1&&(9!==c.length?(a=c,l=d):(h=n.rgba2rgbo(c),a=h[0],l=d*h[1]),o=e.rendNode,"none"!==a?o.setAttributeNS(null,"fill",a):l=0,e.type===t.OBJECT_TYPE_IMAGE?o.setAttributeNS(null,"opacity",l):o.setAttributeNS(null,"fill-opacity",l),s.exists(e.visProp.gradient)&&this.updateGradient(e)),e.visPropOld.fillcolor=c,e.visPropOld.fillopacity=d)},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._setArrowAtts(t.rendNodeTriangle,o,h,t.visProp.strokewidth,t.rendNode):(t.elementClass===r.OBJECT_CLASS_CURVE||t.elementClass===r.OBJECT_CLASS_LINE)&&(t.visProp.firstarrow&&this._setArrowAtts(t.rendNodeTriangleStart,o,h,t.visProp.strokewidth,t.rendNode),t.visProp.lastarrow&&this._setArrowAtts(t.rendNodeTriangleEnd,o,h,t.visProp.strokewidth,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._setArrowAtts(t.rendNodeTriangle,t.visProp.strokecolor,t.visProp.strokeopacity,o,t.rendNode):(t.elementClass===r.OBJECT_CLASS_CURVE||t.elementClass===r.OBJECT_CLASS_LINE)&&(t.visProp.firstarrow&&this._setArrowAtts(t.rendNodeTriangleStart,t.visProp.strokecolor,t.visProp.strokeopacity,o,t.rendNode),t.visProp.lastarrow&&this._setArrowAtts(t.rendNodeTriangleEnd,t.visProp.strokecolor,t.visProp.strokeopacity,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"},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))}}),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){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],"number"==typeof o[0]&&"number"==typeof 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),", ",Math.floor(a*s)],this.updatePathPrim(t,n,o))},updatePathPrim:function(t,e,i){var r=i.canvasWidth,s=i.canvasHeight;e.length<=0&&(e=["m 0,0"]),t.style.width=r,t.style.height=s,this._setAttr(t,"coordsize",[Math.floor(this.resolution*r),Math.floor(this.resolution*s)].join(",")),this._setAttr(t,"path",e.join(""))},updatePathStringPoint:function(t,e,i){var r=[],s=Math.round,o=t.coords.scrCoords,n=.5*e*Math.sqrt(3),a=.5*e,h=this.resolution;return"x"===i?r.push([" m ",s(h*(o[1]-e)),", ",s(h*(o[2]-e))," l ",s(h*(o[1]+e)),", ",s(h*(o[2]+e))," m ",s(h*(o[1]+e)),", ",s(h*(o[2]-e))," l ",s(h*(o[1]-e)),", ",s(h*(o[2]+e))].join("")):"+"===i?r.push([" m ",s(h*(o[1]-e)),", ",s(h*o[2])," l ",s(h*(o[1]+e)),", ",s(h*o[2])," m ",s(h*o[1]),", ",s(h*(o[2]-e))," l ",s(h*o[1]),", ",s(h*(o[2]+e))].join("")):"<>"===i?r.push([" m ",s(h*(o[1]-e)),", ",s(h*o[2])," l ",s(h*o[1]),", ",s(h*(o[2]+e))," l ",s(h*(o[1]+e)),", ",s(h*o[2])," l ",s(h*o[1]),", ",s(h*(o[2]-e))," x e "].join("")):"^"===i?r.push([" m ",s(h*o[1]),", ",s(h*(o[2]-e))," l ",s(h*(o[1]-n)),", ",s(h*(o[2]+a))," l ",s(h*(o[1]+n)),", ",s(h*(o[2]+a))," x e "].join("")):"v"===i?r.push([" m ",s(h*o[1]),", ",s(h*(o[2]+e))," l ",s(h*(o[1]-n)),", ",s(h*(o[2]-a))," l ",s(h*(o[1]+n)),", ",s(h*(o[2]-a))," x e "].join("")):">"===i?r.push([" m ",s(h*(o[1]+e)),", ",s(h*o[2])," l ",s(h*(o[1]-a)),", ",s(h*(o[2]-n))," l ",s(h*(o[1]-a)),", ",s(h*(o[2]+n))," l ",s(h*(o[1]+e)),", ",s(h*o[2])].join("")):"<"===i&&r.push([" m ",s(h*(o[1]-e)),", ",s(h*o[2])," l ",s(h*(o[1]+a)),", ",s(h*(o[2]-n))," l ",s(h*(o[1]+a)),", ",s(h*(o[2]+n))," x e "].join("")),r},updatePathStringPrim:function(t){var e,i,r=[],s=this.resolution,o=Math.round,n=" m ",a=" l ",h=" c ",l=n,c=Math.min(t.numberPoints,8192);if(t.numberPoints<=0)return"";if(c=Math.min(c,t.points.length),1===t.bezierDegree)for(e=0;c>e;e++)i=t.points[e].scrCoords,isNaN(i[1])||isNaN(i[2])?l=n:(i[1]>2e4?i[1]=2e4:i[1]<-2e4&&(i[1]=-2e4),i[2]>2e4?i[2]=2e4:i[2]<-2e4&&(i[2]=-2e4),r.push([l,o(s*i[1]),", ",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,b=Math.min(t.numberPoints,8192);if(t.numberPoints<=0)return"";for(m&&t.board.options.curve.RDPsmoothing&&(t.points=n.RamerDouglasPeucker(t.points,1)),b=Math.min(b,t.points.length),i=1;3>i;i++)for(f=u,e=0;b>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)))," ",d(c*(a+.333*(s[2]-a)+l*(r*Math.random()-i)))," ",d(c*(o+.666*(s[1]-o)+l*(r*Math.random()-i)))," ",d(c*(a+.666*(s[2]-a)+l*(r*Math.random()-i)))," ",d(c*s[1])," ",d(c*s[2])].join(""))),f=p,o=s[1],a=s[2]);return h.push(" e"),h},updatePolygonPrim:function(t,e){var i,r,s=e.vertices.length,o=this.resolution,n=[];if(this._setAttr(t,"stroked","false"),r=e.vertices[0].coords.scrCoords,!isNaN(r[1]+r[2])){for(n.push(["m ",Math.floor(o*r[1]),",",Math.floor(o*r[2])," l "].join("")),i=1;s-1>i;i++){if(!e.vertices[i].isReal)return this.updatePathPrim(t,"",e.board),void 0;if(r=e.vertices[i].coords.scrCoords,isNaN(r[1]+r[2]))return;n.push(Math.floor(o*r[1])+","+Math.floor(o*r[2])),s-2>i&&n.push(", ")}n.push(" x e"),this.updatePathPrim(t,n,e.board)}},updateRectPrim:function(t,e,i,r,s){t.style.left=Math.floor(e)+"px",t.style.top=Math.floor(i)+"px",r>=0&&(t.style.width=r+"px"),s>=0&&(t.style.height=s+"px")},setPropertyPrim:function(t,e,i){var 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){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=.5*i*Math.sqrt(3),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=.5522848*(a/2),u=.5522848*(h/2),p=l+a,f=c+h,m=l+a/2,b=c+h/2,g=this.context;o>0&&n>0&&!isNaN(e+i)&&(g.beginPath(),g.moveTo(l,b),g.bezierCurveTo(l,b-u,m-d,c,m,c),g.bezierCurveTo(m+d,c,p,b-u,p,b),g.bezierCurveTo(p,b+u,m+d,f,m,f),g.bezierCurveTo(m-d,f,l,b+u,l,b),g.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&&("function"==typeof 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.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){return t.JSXGraph={rendererType:function(){return o.renderer="no",e.supportsVML()&&(o.renderer="vml",document.onmousemove=function(){var t;return document.body&&(t=document.body.scrollLeft,t+=document.body.scrollTop),t}),e.supportsCanvas()&&(o.renderer="canvas"),e.supportsSVG()&&(o.renderer="svg"),e.isNode()&&e.supportsCanvas()&&(o.renderer="canvas"),(e.isNode()||"no"===o.renderer)&&(o.text.display="internal",o.infobox.display="internal"),o.renderer}(),initRenderer:function(t,e,r){var s,c;if(i.exists(r)&&r!==!1||"object"!=typeof document||(r=document),"object"==typeof r&&null!==t)for(s=r.getElementById(t);s.firstChild;)s.removeChild(s.firstChild);else s=t;return c="svg"===o.renderer?new n(s,e):"vml"===o.renderer?new a(s):"canvas"===o.renderer?new h(s,e):new l},initBoard:function(s,n){var a,h,l,c,d,u,p,f,m,b,g,v;return n=n||{},b=i.copyAttributes(n,o,"board"),b.zoom=i.copyAttributes(b,o,"board","zoom"),b.pan=i.copyAttributes(b,o,"board","pan"),f=e.getDimensions(s,b.document),b.unitx||b.unity?(a=i.def(b.originx,150),h=i.def(b.originy,150),l=i.def(b.unitx,50),c=i.def(b.unity,50)):(m=b.boundingbox,u=parseInt(f.width,10),p=parseInt(f.height,10),b.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,b.document),v=new r(s,d,"",[a,h],b.zoomfactor*b.zoomx,b.zoomfactor*b.zoomy,l,c,f.width,f.height,b),t.boards[v.id]=v,t.boards[v.id]=v,v.keepaspectratio=b.keepaspectratio,v.resizeContainer(f.width,f.height,!0,!0),v.suspendUpdate(),v.initInfobox(),b.axis&&(g="object"==typeof b.axis?b.axis:{ticks:{drawZero:!0}},v.defaultAxes={},v.defaultAxes.x=v.create("axis",[[0,0],[1,0]],g),v.defaultAxes.y=v.create("axis",[[0,0],[0,1]],g)),b.grid&&v.create("grid",[],"object"==typeof b.grid?b.grid:{}),v.renderer.drawZoomBar(v),v.unsuspendUpdate(),v},loadBoardFromFile:function(n,a,h,l,c){var d,u,p,f;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"),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),p.renderer.drawZoomBar(p),t.boards[p.id]=p,p},loadBoardFromString:function(n,a,h,l,c){var d,u,p,f;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"),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),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.registerElement(e,i)},unregisterElement:function(){throw new Error("Unimplemented")}},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},b=function(e,i,r,s){return function(){var o;t.JSXGraph.freeBoard(e),o=m(i,r,s),o.reload=b(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(g){"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=b(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","base/element","math/math","math/geometry","utils/type"],function(t,e,i,r,s,o){return t.Group=function(t,i,r,s,n){var a,h,l,c;for(this.board=t,this.objects={},a=this.board.numObjects,this.board.numObjects+=1,this.id=""!==i&&o.exists(i)?i:this.board.id+"Group"+a,this.board.groups[this.id]=this,this.type=e.OBJECT_TYPE_POINT,this.elementClass=e.OBJECT_CLASS_POINT,this.name=""!==r&&o.exists(r)?r:"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=[],h=o.isArray(s)?s:Array.prototype.slice.call(arguments,3),l=0;l<h.length;l++)c=this.board.select(h[l]),!c.visProp.fixed&&o.exists(c.coords)&&o.exists(c.group)&&(0!==c.group.length?this.addGroup(c.group[c.group.length-1]):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;for(t in this.objects)this.objects.hasOwnProperty(t)&&(o.isArray(this.objects[t].point.group)&&this.objects[t].point.group[this.objects[t].point.group.length-1]===this&&this.objects[t].point.group.pop(),this.removePoint(this.objects[t].point));return this},update:function(t){var i,n,a,h,l,c,d,u,p,f=!1,m=!1,b=!1,g=null,v=[];if(!this.needsUpdate)return this;for(i in this.objects)this.objects.hasOwnProperty(i)&&(g=this.objects[i].point,g.coords.distance(e.COORDS_BY_USER,this.coords[i])>r.eps&&v.push(g.id));if(0==v.length)return this;if(n=v[0],g=this.objects[n].point,v.length>1?f=!0:o.isInArray(this.rotationPoints,g)&&o.exists(this.rotationCenter)?m=!0:o.isInArray(this.scalePoints,g)&&o.exists(this.scaleCenter)?b=!0:o.isInArray(this.translationPoints,g)&&(f=!0),!m&&!f&&!b)return this;if(f)h=[g.coords.usrCoords[1]-this.coords[n].usrCoords[1],g.coords.usrCoords[2]-this.coords[n].usrCoords[2]];else if(m||b){if(a=m?"rotationCenter":"scaleCenter",o.isPoint(this[a]))u=this[a].coords.usrCoords.slice(1);else if("centroid"===this[a]){u=[0,0],p=0;for(i in this.coords)this.coords.hasOwnProperty(i)&&(u[0]+=this.coords[i].usrCoords[1],u[1]+=this.coords[i].usrCoords[2],++p);p>0&&(u[0]/=p,u[1]/=p)}else if(o.isArray(this[a]))u=this[a];else{if(!o.isFunction(this[a]))return this;u=this[a]()}if(m)c=s.rad(this.coords[n].usrCoords.slice(1),u,this.objects[n].point),d=this.board.create("transform",[c,u[0],u[1]],{type:"rotate"}),d.update();else{if(!b)return this;if(l=s.distance(this.coords[n].usrCoords.slice(1),u),Math.abs(l)<r.eps)return this;l=s.distance(g.coords.usrCoords.slice(1),u)/l,d=this.board.create("transform",[1,0,0,u[0]*(1-l),l,0,u[1]*(1-l),0,l],{type:"generic"}),d.update()}}for(i in this.objects)this.objects.hasOwnProperty(i)&&(o.exists(this.board.objects[i])?(g=this.objects[i].point,g.id!==n?f?o.isInArray(v,g.id)||g.setPositionDirectly(e.COORDS_BY_USER,[this.coords[i].usrCoords[1]+h[0],this.coords[i].usrCoords[2]+h[1]]):(m||b)&&d.applyOnce([g]):(m||b)&&g.setPositionDirectly(e.COORDS_BY_USER,r.matVecMult(d.matrix,this.coords[g.id].usrCoords)),this.coords[g.id]={usrCoords:g.coords.usrCoords.slice(0)}):delete this.objects[i]);for(i in this.objects)if(this.objects.hasOwnProperty(i))for(desc in this.objects[i].descendants)this.objects[i].descendants.hasOwnProperty(desc)&&(this.objects[i].descendants.needsUpdate=this.objects[i].descendants.needsRegularUpdate||this.board.needsFullUpdate);return this.board.updateElements(t),this},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),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){return this._setActionPoints("scale",t)},addScalePoint:function(t){return this._addActionPoint("scale",t)},removeScalePoint:function(t){return this._removeActionPoint("scale",t)},_setActionPoints:function(t,e){var i,r,s;for(i=o.isArray(e)?e:arguments,s=i.length,this[t+"Points"]=[],r=0;s>r;++r)this[t+"Points"].push(this.board.select(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:t.shortcut(t.Group.prototype,"setAttribute"),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 s,n=o.copyAttributes(r,e.options,"group"),a=new t.Group(e,n.id,n.name,i,n);for(a.elType="group",a.parents=[],s=0;s<i.length;s++)a.parents.push(i[s].id);return a},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){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("function"==typeof 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("function"==typeof 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("function"==typeof 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(){return 0},function(){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){var e=c(),i=p[1].Dist(p[0]),r=.5*(i*i-e*e)/(i*Math.cos(t)-e),s=Math.atan2(p[1].Y()-p[0].Y(),p[1].X()-p[0].X());return p[0].Y()+Math.sin(s+t)*r},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);for(n.isPoint(l)&&l.addChild(a),a.parents=[],d=0;d<r.length;d++)r[d].id&&a.parents.push(r[d].id);return 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("function"==typeof 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("function"==typeof 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("function"==typeof 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(){return 0},function(){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=this.majorAxis(),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){var e=this.majorAxis(),i=d[1].Dist(d[0]),r=.5*(i*i-e*e)/(i*Math.cos(t)+e),s=Math.atan2(d[1].Y()-d[0].Y(),d[1].X()-d[0].X());return d[0].Y()+Math.sin(s+t)*r},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);for(n.isPoint(h)&&h.addChild(o),o.parents=[],c=0;c<i.length;c++)i[c].id&&o.parents.push(i[c].id);return o},t.createParabola=function(t,i,r){var s,a,h,l,c=i[0],d=i[1],u=n.copyAttributes(r,t.options,"conic","foci"),p=n.copyAttributes(r,t.options,"conic");if(i[0].length>1)c=t.create("point",i[0],u);else if(n.isPoint(i[0]))c=t.select(i[0]);else if("function"==typeof i[0]&&n.isPoint(i[0]()))c=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]");c=t.select(i[0])}for(n.exists(i[3])||(i[3]=10),n.exists(i[2])||(i[2]=-10),h=t.create("point",[function(){return o.projectPointToLine(c,d,t).usrCoords}],u),a=t.create("curve",[function(){return 0},function(){return 0},i[2],i[3]],p),s=function(t,e){var i,r,s,o,n,h;e||(i=d.stdform[1],r=d.stdform[2],s=d.stdform[0],o=i*i+r*r,n=c.X(),h=c.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=d.getAngle(),a=o.distPointLine(c.coords.usrCoords,d.stdform),h=d.point1.coords.usrCoords,l=d.point2.coords.usrCoords,u=c.coords.usrCoords;return 0===h[0]?h=[1,l[1]+d.stdform[2],l[2]-d.stdform[1]]:0===l[0]&&(l=[1,h[1]+d.stdform[2],h[2]-d.stdform[1]]),r=(l[1]-h[1])*(u[2]-h[2])-(l[2]-h[2])*(u[1]-h[1])>=0?1:-1,i=r*a/(1-Math.sin(t)),e||s(t,e),c.X()+Math.cos(t+n)*i},a.Y=function(t){var e,i,r=d.getAngle(),s=o.distPointLine(c.coords.usrCoords,d.stdform),n=d.point1.coords.usrCoords,a=d.point2.coords.usrCoords,h=c.coords.usrCoords;return 0===n[0]?n=[1,a[1]+d.stdform[2],a[2]-d.stdform[1]]:0===a[0]&&(a=[1,n[1]+d.stdform[2],n[2]-d.stdform[1]]),i=(a[1]-n[1])*(h[2]-n[2])-(a[2]-n[2])*(h[1]-n[1])>=0?1:-1,e=i*s/(1-Math.sin(t)),c.Y()+Math.sin(t+r)*e},a.type=e.OBJECT_TYPE_CONIC,h.addChild(a),n.isPoint(c)&&c.addChild(a),d.addChild(a),a.parents=[],l=0;l<i.length;l++)i[l].id&&a.parents.push(i[l].id);return a},t.createConic=function(i,o,a){var h,l,c,d,u,p,f,m,b,g,v,y,C,P,_=[[1,0,0],[0,1,0],[0,0,1]],E=[[1,0,0],[0,1,0],[0,0,1]],S=[],O=[],w=n.copyAttributes(a,i.options,"conic","foci"),x=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)S[y]=i.create("point",o[y],w);else if(n.isPoint(o[y]))S[y]=i.select(o[y]);else if("function"==typeof o[y]&&n.isPoint(o[y]()))S[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]");S[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(){return 0},function(){return 0},0,2*Math.PI],x),h=function(e,i){var o,n,a,h;if(!i){if(P){for(o=0;5>o;o++)O[o]=S[o].coords.usrCoords;g=d(r.crossProduct(O[0],O[1]),r.crossProduct(O[2],O[3])),v=d(r.crossProduct(O[0],O[2]),r.crossProduct(O[1],O[3])),E=c(g,v,O[4])}else for(o=0;3>o;o++)for(n=o;3>n;n++)E[o][n]=C[o][n](),n>o&&(E[n][o]=E[o][n]);for(l.quadraticform=E,p=s.Jacobi(E),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],b=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/b,Math.cos(e)/f,Math.sin(e)/m]):p[0][1][1]<=0&&p[0][2][2]>0?h=r.matVecMult(_,[Math.cos(e)/b,1/f,Math.sin(e)/m]):p[0][2][2]<0&&(h=r.matVecMult(_,[Math.sin(e)/b,Math.cos(e)/f,1/m])),t.exists(h)?(h[1]/=h[0],h[2]/=h[0],h[0]=1):h=[1,0/0,0/0],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(S[y])&&S[y].addChild(l);for(l.parents=[],y=0;y<o.length;y++)o[y].id&&l.parents.push(o[y].id)}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","utils/type","base/element","base/line","base/transformation"],function(t,e,i,r,s,o){return t.Polygon=function(i,r,o){this.constructor(i,o,e.OBJECT_TYPE_POLYGON,e.OBJECT_CLASS_AREA);var n,a,h,l,c,d=s.copyAttributes(o,i.options,"polygon","borders");for(this.withLines=o.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[this.vertices.length-1]!==this.vertices[0]&&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=s.isArray(d.colors)&&d.colors[n%d.colors.length]||d.strokecolor,d.visible=s.exists(o.borders.visible)?o.borders.visible:o.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.elType="polygon",this.createLabel(),this.methodMap=t.deepCopy(this.methodMap,{borders:"borders",vertices:"vertices",A:"Area",Area:"Area",boundingBox:"boundingBox",addPoints:"addPoints",insertPoints:"insertPoints",removePoints:"removePoints"})},t.Polygon.prototype=new o,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=this.vertices[0].X(),s=this.vertices[0].Y(),o=r,n=s;for(t=0;t<this.vertices.length;t++)this.vertices[t].X()<r&&(r=this.vertices[t].X()),this.vertices[t].X()>o&&(o=this.vertices[t].X()),this.vertices[t].Y()>s&&(s=this.vertices[t].Y()),this.vertices[t].Y()<n&&(n=this.vertices[t].Y());return new i(e.COORDS_BY_USER,[.5*(r+o),.5*(s+n)],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=s.deepCopy(this.visProp,this.visProp.traceattributes,!0),e.visProp.layer=this.board.options.layer.trace,e.board=this.board,s.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&&s.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();s.exists(this.label)&&this.hasLabel&&this.label.hiddenByParent&&(this.label.hiddenByParent=!1,this.label.visProp.visible||this.label.showElement().updateRenderer())},Area:function(){var t,e=0;for(t=0;t<this.vertices.length-1;t++)e+=this.vertices[t].X()*this.vertices[t+1].Y()-this.vertices[t+1].X()*this.vertices[t].Y();return e/=2,Math.abs(e)},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},remove:function(){var t;for(t=0;t<this.borders.length;t++)this.board.removeObject(this.borders[t]);o.prototype.remove.call(this)},findPoint:function(t){var e;if(!s.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(){var t=Array.prototype.slice.call(arguments);return this.insertPoints.apply(this,[this.vertices.length-2].concat(t))},insertPoints:function(t){var e,i,r=[];if(0===arguments.length)return this;if(0>t||t>this.vertices.length-2)return this;for(e=1;e<arguments.length;e++)s.isPoint(arguments[e])&&r.push(arguments[e]);if(i=this.vertices.slice(0,t+1).concat(r),this.vertices=i.concat(this.vertices.slice(t+1)),this.withLines){for(i=this.borders.slice(0,t),this.board.removeObject(this.borders[t]),e=0;e<r.length;e++)i.push(this.board.create("segment",[this.vertices[t+e],this.vertices[t+e+1]],this.attr_line));i.push(this.board.create("segment",[this.vertices[t+r.length],this.vertices[t+r.length+1]],this.attr_line)),this.borders=i.concat(this.borders.slice(t))}return this.board.update(),this},removePoints:function(){var t,e,i,r=[],o=[],n=[],a=[];for(this.vertices=this.vertices.slice(0,this.vertices.length-1),t=0;t<arguments.length;t++)s.isPoint(arguments[t])&&(i=this.findPoint(arguments[t])),s.isNumber(i)&&i>-1&&i<this.vertices.length&&-1===s.indexOf(n,i)&&n.push(i);for(n=n.sort(),r=this.vertices.slice(),o=this.borders.slice(),this.withLines&&a.push([n[n.length-1]]),t=n.length-1;t>-1;t--)r[n[t]]=-1,this.withLines&&n[t]-1>n[t-1]&&(a[a.length-1][1]=n[t],a.push([n[t-1]]));for(this.withLines&&(a[a.length-1][1]=n[0]),this.vertices=[],t=0;t<r.length;t++)s.isPoint(r[t])&&this.vertices.push(r[t]);if(this.vertices[this.vertices.length-1].id!==this.vertices[0].id&&this.vertices.push(this.vertices[0]),this.withLines){for(t=0;t<a.length;t++){for(e=a[t][1]-1;e<a[t][0]+1;e++)0>e?(e=0,this.board.removeObject(this.borders[o.length-1]),o[o.length-1]=-1):e>o.length-1&&(e=o.length-1),this.board.removeObject(this.borders[e]),o[e]=-1;0!==a[t][1]&&a[t][0]!==r.length-1&&(o[a[t][0]-1]=this.board.create("segment",[r[Math.max(a[t][1]-1,0)],r[Math.min(a[t][0]+1,this.vertices.length-1)]],this.attr_line))}for(this.borders=[],t=0;t<o.length;t++)-1!==o[t]&&this.borders.push(o[t]);(5===a[0][1]||0===a[a.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(){var t,e=[];for(t=0;t<this.vertices.length;t++)e.push(this.vertices[t].id);return e},getAttributes:function(){var t,e=o.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}}),t.createPolygon=function(e,i,r){var o,n,a=[];if(a=s.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=s.copyAttributes(r,e.options,"polygon"),o=new t.Polygon(e,a,n),o.isDraggable=!0,o},t.createRegularPolygon=function(t,i,r){var o,n,a,h,l,c,d,u=[];if(l=i.length,a=i[l-1],s.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(s.isNumber(t.select(a))?(l--,c=!1):(a=l,c=!0),u=s.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=s.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()):(s.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=s.copyAttributes(r,t.options,"polygon"),o=t.create("polygon",u,d),o.elType="regularpolygon",o},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){return t.createArc=function(a,h,l){var c,d,u,p;if(p=o.providePoints(a,h,l,"point"),p===!1||p.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]");for(d=o.copyAttributes(l,a.options,"arc"),c=a.create("curve",[[0],[0]],d),c.elType="arc",c.parents=[],u=0;u<p.length;u++)p[u].id&&c.parents.push(p[u].id);return c.type=n.OBJECT_TYPE_ARC,c.center=p[0],c.radiuspoint=p[1],c.point2=c.radiuspoint,c.anglepoint=p[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=p[1].coords.usrCoords,o=p[3].coords.usrCoords,n=p[2].coords.usrCoords,r=(s[1]-n[1])*(s[2]-o[2])-(s[2]-n[2])*(s[1]-o[1]),0>r?(this.radiuspoint=p[1],this.anglepoint=p[2]):(this.radiuspoint=p[2],this.anglepoint=p[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 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"}),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.parents=[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.parents=[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){return t.createSector=function(a,h,l){var c,d,u,p,f,m="invalid",b=["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",b),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.parents=[h[0].id,h[1].id],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=[0/0],this.dataY=[0/0],void 0):(h=e.bezierArc(l,d,u,!0,1),this.dataX=h[0],this.dataY=h[1],this.bezierDegree=3,void 0)},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.parents=[f[0].id,f[1].id,f[2].id],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],this.bezierDegree=3,void 0):(this.dataX=[0/0],this.dataY=[0/0],void 0)},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),(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 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.parents=[a[0].id,a[1].id,a[2].id],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(t,r,a){var h,l,c,d,u,p,f,m="invalid";if(r[0].elementClass===o.OBJECT_CLASS_LINE&&r[1].elementClass===o.OBJECT_CLASS_LINE&&(n.isArray(r[2])||n.isNumber(r[2]))&&(n.isArray(r[3])||n.isNumber(r[3])))m="2lines";else{if(f=n.providePoints(t,r,a,"point"),f===!1)throw new Error("JSXGraph: Can't create angle with parent types '"+typeof r[0]+"' and '"+typeof r[1]+"' and '"+typeof r[2]+"'.");m="3points"}if(d=n.copyAttributes(a,t.options,"angle"),c=d.name,n.exists(c)&&""!==c||(c=t.generateName({type:o.OBJECT_TYPE_ANGLE}),d.name=c),l=n.exists(d.radius)?d.radius:0,"2lines"===m?(r.push(l),h=t.create("sector",r,d),h.updateDataArraySector=h.updateDataArray,h.setAngle=function(){},h.free=function(){}):(h=t.create("sector",[f[1],f[0],f[2]],d),h.arc.visProp.priv=!0,h.point=h.point2=h.radiuspoint=f[0],h.pointsquare=h.point3=h.anglepoint=f[2],h.Radius=function(){return n.evaluate(l)},h.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},h.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.parents=[r]),this},h.free=function(){var t=this.anglepoint;return t.transformations.length>0&&(t.transformations.pop(),t.isDraggable=!0,t.parents=[]),this},h.parents=[f[0].id,f[1].id,f[2].id]),h.elType="angle",h.type=o.OBJECT_TYPE_ANGLE,h.subs={},h.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},h.updateDataArrayNone=function(){this.dataX=[0/0],this.dataY=[0/0],this.bezierDegree=1},h.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(a,t.options,"angle","dot"),h.dot=t.create("point",[function(){var t,r,s,o,a,l,c,d;return n.exists(h.dot)&&!h.dot.visProp.visible?[0,0]:(t=h.point2.coords.usrCoords,r=h.point1.coords.usrCoords,s=h.Radius(),o=e.distance(t,r,3),a=e.rad(h.point2,h.point1,h.point3),("minor"===h.visProp.selection&&a>Math.PI||"major"===h.visProp.selection&&a<Math.PI)&&(a=-(2*Math.PI-a)),a*=.5,l=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]*l+.5*r[2]*c,.5*l,.5*-c],[r[2]-.5*r[1]*c-.5*r[2]*l,.5*c,.5*l]],i.matVecMult(d,t))}],u),h.dot.dump=!1,h.subs.dot=h.dot,"2lines"===m)for(p=0;2>p;p++)t.select(r[p]).addChild(h.dot);else for(p=0;3>p;p++)t.select(f[p]).addChild(h.dot);return h.getLabelAnchor=function(){var t,r,a,l,c,d,u,p,f,m=12,b=12;return n.exists(this.label.visProp.fontSize)&&(m=this.label.visProp.fontSize,b=this.label.visProp.fontSize),m/=this.board.unitX,b/=this.board.unitY,r=h.point2.coords.usrCoords,a=h.point1.coords.usrCoords,l=h.Radius(),c=e.distance(r,a,3),d=e.rad(h.point2,h.point1,h.point3),("minor"===h.visProp.selection&&d>Math.PI||"major"===h.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])*l/c,a[2]+(r[2]-a[2])*l/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])*(l+m)/c,a[2]+(t[2]-a[2])*(l+m)/c],new s(o.COORDS_BY_USER,t,this.board)},h.Value=function(){return e.rad(this.point2,this.point1,this.point3)},h.methodMap=n.deepCopy(h.methodMap,{Value:"Value",setAngle:"setAngle",free:"free"}),h},t.registerElement("angle",t.createAngle),t.createNonreflexAngle=function(e,i,r){return r.selection="minor",t.createAngle(e,i,r)},t.registerElement("nonreflexangle",t.createNonreflexAngle),t.createReflexAngle=function(e,i,r){return r.selection="major",t.createAngle(e,i,r)},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){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.parents=[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"],function(t,e,i,r,s,o,n){return t.Image=function(r,s,o,a,h){this.constructor(r,h,e.OBJECT_TYPE_IMAGE,e.OBJECT_CLASS_OTHER),this.initialCoords=new i(e.COORDS_BY_USER,o,this.board),n.isFunction(o[0])||n.isFunction(o[1])||(this.isDraggable=!0),this.X=n.createFunction(o[0],this.board,""),this.Y=n.createFunction(o[1],this.board,""),this.Z=n.createFunction(1,this.board,""),this.W=n.createFunction(a[0],this.board,""),this.H=n.createFunction(a[1],this.board,""),this.coords=new i(e.COORDS_BY_USER,[this.X(),this.Y()],this.board),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*r.unitX),Math.abs(this.usrSize[1]*r.unitY)],this.url=s,this.elType="image",this.span=[[this.Z(),this.X(),this.Y()],[this.Z(),this.W(),0],[this.Z(),0,this.H()]],this.parent=r.select(h.anchor),this.id=this.board.setId(this,"Im"),this.board.renderer.drawImage(this),this.visProp.visible||this.board.renderer.hide(this),this.methodMap=t.deepCopy(this.methodMap,{addTransformation:"addTransform",trans:"addTransform"})},t.Image.prototype=new r,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(){return this.needsUpdate&&(this.visProp.frozen||this.updateCoords(),this.usrSize=[this.W(),this.H()],this.size=[Math.abs(this.usrSize[0]*this.board.unitX),Math.abs(this.usrSize[1]*this.board.unitY)],this.updateTransform(),this.updateSpan()),this},updateRenderer:function(){return this.needsUpdate&&(this.board.renderer.updateImage(this),this.needsUpdate=!1),this},updateTransform:function(){var t,e=this.transformations.length;if(e>0)for(t=0;e>t;t++)this.transformations[t].update();return this},updateCoords:function(){this.coords.setCoordinates(e.COORDS_BY_USER,[this.X(),this.Y()])},updateSize:function(){this.coords.setCoordinates(e.COORDS_BY_USER,[this.W(),this.H()])},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)},setPositionDirectly:function(t,r,s){var a,h=new i(t,r,this.board),l=new i(t,s,this.board),c=[this.Z(),this.X(),this.Y()];return a=o.subtract(h.usrCoords,l.usrCoords),this.X=n.createFunction(c[1]+a[1],this.board,""),this.Y=n.createFunction(c[2]+a[2],this.board,""),this.visProp.snaptogrid&&(this.coords.setCoordinates(e.COORDS_BY_USER,h.usrCoords),this.snapToGrid(),this.X=n.createFunction(this.coords.usrCoords[1],this.board,""),this.Y=n.createFunction(this.coords.usrCoords[2],this.board,"")),this},snapToGrid:function(){return this.handleSnapToGrid()}}),t.createImage=function(e,i,r){var s,o;return s=n.copyAttributes(r,e.options,"image"),o=new t.Image(e,i[0],i[1],i[2],s),0!==n.evaluate(s.rotate)&&o.addRotation(n.evaluate(s.rotate)),o},t.registerElement("image",t.createImage),{Image:t.Image,createImage:t.createImage}}),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){return t.createSlider=function(t,o,a){var h,l,c,d,u,p,f,m,b,g,v,y,C,P,_,E,S,O,w,x,T,A;x=r.copyAttributes(a,t.options,"slider"),O=x.withticks,S=x.withlabel,w=x.snapwidth,T=x.precision,x=r.copyAttributes(a,t.options,"slider","point1"),f=t.create("point",o[0],x),x=r.copyAttributes(a,t.options,"slider","point2"),m=t.create("point",o[1],x),t.create("group",[f,m]),x=r.copyAttributes(a,t.options,"slider","baseline"),b=t.create("segment",[f,m],x),b.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,O&&(x=r.copyAttributes(a,t.options,"slider","ticks"),g=2,v=t.create("ticks",[b,m.Dist(f)/g,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}],x)),y=h[0]+(l[0]-h[0])*(d-c)/(u-c),C=h[1]+(l[1]-h[1])*(d-c)/(u-c),x=r.copyAttributes(a,t.options,"slider"),x.withLabel=!1,P=t.create("glider",[y,C,b],x),P.setAttribute({snapwidth:w}),x=r.copyAttributes(a,t.options,"slider","highline"),_=t.create("segment",[f,P],x),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",smax:"_smax",smin:"_smin"}),P._smax=u,P._smin=c,S&&(x=r.copyAttributes(a,t.options,"slider","label"),E=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)}],x),P.label=E,P.visProp.withlabel=!0,P.hasLabel=!0),P.point1=f,P.point2=m,P.baseline=b,P.highline=_,O&&(P.ticks=v),P.remove=function(){S&&t.removeObject(E),t.removeObject(_),t.removeObject(b),t.removeObject(m),t.removeObject(f),s.Point.prototype.remove.call(P)},f.dump=!1,m.dump=!1,b.dump=!1,_.dump=!1,P.elType="slider",P.parents=o,P.subs={point1:f,point2:m,baseLine:b,highLine:_},O&&(v.dump=!1,P.subs.ticks=v);for(A in P.subs)P.subs[A].status={visible:P.subs[A].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){return t.createTapemeasure=function(r,s,o){var n,a,h,l,c,d,u,p,f,m,b;return n=s[0],a=s[1],h=e.copyAttributes(o,r.options,"tapemeasure"),l=h.withticks,c=h.withlabel,d=h.precision,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),h=e.copyAttributes(o,r.options,"tapemeasure"),c&&(h.withlabel=!0),u=r.create("segment",[p,f],h),c&&(m=o.name&&""!==o.name?o.name+" = 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i},getRow:function(t){var e,i;if("string"==typeof t)for(i=0;i<this.rowHeaders.length;i++)if(t===this.rowHeaders[i]){t=i;break}for(e=[],i=0;i<this.data[t].length;i++)e[i]=this.data[t][i];return e}}),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){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,b,g=[],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,b=h.copyAttributes(r,t.options,"chart","label"),a=parseFloat(b.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(),b))):(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()],b))),r.withlines=!1,h.isArray(r.colors)&&(m=r.colors,r.fillcolor=m[s%m.length]),g[s]=t.create("polygon",v,r),h.exists(r.labels)&&h.exists(r.labels[s])&&(g[s].text=l);return g},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,b=o.center||[0,0],g=b[0],v=b[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))},E={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",[g,v],E),l[0]=t.create("point",[function(){return m()+g},function(){return v}],E),n=0;n<e.length;n++)l[n+1]=t.create("point",[y(n,"cos",g),y(n,"sin",v)],E),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,b,g,v,y,C,P,_,E,S,O,w,x,T,A,M,N,k,R,L,B,Y,j,D,I,X,U,G,J,F,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)
},te=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 t.debug("No data"),void 0;if(l=o.paramarray,!h.exists(l))return t.debug("Need paramArray attribute"),void 0;if(c=l.length,1>=c)return t.debug("Need more than 1 param"),void 0;for(n=0;Q>n;n++)if(c!==i[n].length)return t.debug("Use data length equal to number of params ("+i[n].length+" != "+c+")"),void 0;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=[],b=[],g=o.startshiftratio||0,v=o.endshiftratio||0,n=0;c>n;n++)m[n]=(d[n]-u[n])*g,b[n]=(d[n]-u[n])*v;if(y=o.startshiftarray||m,C=o.endshiftarray||b,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 t.debug("Start shifts length is not equal to number of parameters"),void 0;if(C.length!==c)return t.debug("End shifts length is not equal to number of parameters"),void 0;if(P.length!==c)return t.debug("Starts length is not equal to number of parameters"),void 0;if(_.length!==c)return t.debug("Ends length is not equal to number of parameters"),void 0;for(E=o.labelarray||p,S=o.colors,O=o.highlightcolors,w=o.radius||10,W=o.strokewidth||1,h.exists(o.highlightonsector)||(o.highlightonsector=!1),x={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],A=T[0],M=T[1],N=e.create("point",[A,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)+A,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",[N,L[n]],{name:l[n],strokeColor:x.strokecolor,strokeWidth:x.strokewidth,strokeOpacity:1,straightFirst:!1,straightLast:!1,withLabel:!0,highlightStrokeColor:x.highlightstrokecolor}),B[n].getLabelAnchor=K,Y=te(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(x.labelcolor=S&&S[n%S.length],x.strokecolor=S&&S[n%S.length],x.fillcolor=S&&S[n%S.length],I[n]=e.create("polygon",f[n],{withLines:!0,withLabel:!1,fillColor:x.fillcolor,fillOpacity:x.fillopacity,highlightFillColor:x.highlightfillcolor}),a=0;c>a;a++)I[n].borders[a].setAttribute("strokecolor:"+S[n%S.length]),I[n].borders[a].setAttribute("strokewidth:"+x.polystrokewidth);switch(X=o.legendposition||"none"){case"right":G=o.legendleftoffset||2,J=o.legendtopoffset||1,this.legend=e.create("legend",[A+w+G,M+w-J],{labels:E,colors:S});break;case"none":break;default:t.debug("Unknown legend position")}if(U=[],o.showcircles){for(F=[],n=0;6>n;n++)F[n]=20*n;if(F[0]="0",z=o.circlelabelarray||F,H=z.length,2>H)return t.debug("Too less circles"),void 0;for($=[],V=k+Math.PI/c,Y=te(V,0),x.fillcolor="none",x.highlightfillcolor="none",x.strokecolor=o.strokecolor||"black",x.strokewidth=o.circlestrokewidth||.5,x.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($[n],Y),U[n]=e.create("circle",[N,$[n]],x)}return this.rendNode=I[0].rendNode,{circles:U,lines:B,points:f,midpoint:N,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,b,g,v,y,C,P,_,E,S=[],O=l.isBrowser?e.document.getElementById(i[0]):null;if(1===i.length&&"string"==typeof i[0]){if(h.exists(O)){if(b=h.copyAttributes(r,e.options,"chart"),O=(new n).loadFromTable(i[0],b.withheaders,b.withheaders),s=O.data,u=O.columnHeaders,o=O.rowHeaders,g=b.width,v=b.name,y=b.strokecolor,C=b.fillcolor,P=b.highlightstrokecolor,_=b.highlightfillcolor,e.suspendUpdate(),E=s.length,m=[],b.rows&&h.isArray(b.rows)){for(c=0;E>c;c++)for(d=0;d<b.rows.length;d++)if(b.rows[d]===c||b.withheaders&&b.rows[d]===o[c]){m.push(s[c]);break}}else m=s;for(E=m.length,c=0;E>c;c++){if(f=[],b.chartstyle&&-1!==b.chartstyle.indexOf("bar")){for(p=g?g:.8,f.push(1-p/2+(c+.5)*p/E),d=1;d<m[c].length;d++)f.push(f[d-1]+1);b.width=p/E}v&&v.length===E?b.name=v[c]:b.withheaders&&(b.name=u[c]),b.strokecolor=y&&y.length===E?y[c]:a.hsv2rgb(360*((c+1)/E),.9,.6),b.fillcolor=C&&C.length===E?C[c]:a.hsv2rgb(360*((c+1)/E),.9,1),b.highlightstrokecolor=P&&P.length===E?P[c]:a.hsv2rgb(360*((c+1)/E),.9,1),b.highlightfillcolor=_&&_.length===E?_[c]:a.hsv2rgb(360*((c+1)/E),.9,.6),b.chartstyle&&-1!==b.chartstyle.indexOf("bar")?S.push(new t.Chart(e,[f,m[c]],b)):S.push(new t.Chart(e,[m[c]],b))}e.unsuspendUpdate()}return S}return b=h.copyAttributes(r,e.options,"chart"),new t.Chart(e,i,b)},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){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 this.pos=r.isArray(t)?t:[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(){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){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){var i,r,s,o={},n=e.deepCopy(t),a=[];for(s=1;s<arguments.length;s++)a.push(arguments[s]);for(s=a.length;s>0;s--)o=e.deepCopy(o,a[s-1],!0);for(i in o)o.hasOwnProperty(i)&&(r=i.toLowerCase(),"object"!=typeof o[i]&&o[i]===n[r]&&delete n[r]);return n},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},dump:function(t){var e,i,r,s,o=[],n=[],a=[],h=t.objectsList.length;for(this.addMarkers(t,"dumped",!1),n.push({obj:"$board",method:"setBoundingBox",params:[t.getBoundingBox(),!0]}),e=0;h>e;e++)if(i=t.objectsList[e],r={},!i.dumped&&i.dump){for(r.type=i.getType(),r.parents=i.getParents(),"point"===r.type&&1===r.parents[0]&&(r.parents=r.parents.slice(1)),s=0;s<r.parents.length;s++)"string"==typeof r.parents[s]&&(r.parents[s]="'"+r.parents[s]+"'");r.attributes=this.prepareAttributes(t,i),"glider"===r.type&&i.onPolygon&&o.push({obj:i.id,prop:"onPolygon",val:!0}),a.push(r)}return this.deleteMarkers(t,"dumped"),{elements:a,props:o,methods:n}},arrayToParamStr:function(t,e){var i,r=[];for(i=0;i<t.length;i++)r.push(e.call(this,t[i]));return r.join(", ")},toJSAN: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.toJSAN(t[i]));return"["+r.join(",")+"]"}for(s in t)t.hasOwnProperty(s)&&r.push(s+": "+this.toJSAN(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(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.toJSAN(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.toJSAN)+");"),s.push("");for(e=0;e<r.props.length;e++)s.push(r.props[e].obj+"."+r.props[e].prop+" = "+this.toJSAN(r.props[e].val)+";"),s.push("");return s.join("\n")},toJavaScript:function(t){var i,r,s=this.dump(t),o=[];for(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){var n={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)},Value:function(){return this.tangent.getSlope()}};return t.createSlopeTriangle=function(e,s,o){var a,h,l,c,d,u,p,f,m;if(1===s.length&&s[0].type===r.OBJECT_TYPE_TANGENT)h=s[0],l=h.glider;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]+"'.");h=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())*h.getSlope()]}],m),m=i.copyAttributes(o,e.options,"slopetriangle"),a=e.create("polygon",[l,c,d],m),a.Value=n.Value,a.tangent=h,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 a.Value().toFixed(f.visProp.digits)}),f.prepareUpdate().update().updateRenderer(),a.glider=c,a.basepoint=p,a.baseline=u,a.toppoint=d,a.label=f,a.methodMap=t.deepCopy(a.methodMap,{tangent:"tangent",glider:"glider",basepoint:"basepoint",baseline:"baseline",toppoint:"toppoint",label:"label",Value:"Value",V:"Value"}),a.remove=n.removeSlopeTriangle,a},t.registerElement("slopetriangle",t.createSlopeTriangle),{createSlopeTriangle:t.createSlopeTriangle}}),define("element/checkbox",["jxg","utils/env","utils/type"],function(t,e,i){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 3!==o.length,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.rendNodeLabel=a.rendNodeForm.childNodes[1],a.rendNodeLabel.id=a.rendNode.id+"_label",a.rendNodeLabel.innerHTML=o[2],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){var r={InputInputEventHandler:function(){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 4!==o.length,h=[o[0],o[1],'<form 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